Finite Group Databasebeta

← #8095314

Subgroups — #8095314

Order 512.

5595 conjugacy classes of subgroups.

The subgroup lattice has 1929 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53066C212yesmaximal, complemented
2#53047C212yesmaximal, complemented
3#53045C212yesmaximal, complemented
4#53044C212yesmaximal, complemented
5#53022C212yesmaximal, complemented
6#53018C212yesmaximal, complemented
7#53014C212yesmaximal, complemented
8#53007C212yesmaximal, complemented
9#52549C214yesmaximal, complemented
10#52548C214yesmaximal, complemented
11#45647C212yesmaximal, complemented
12#45646C212yesmaximal, complemented
13#45628C212yesmaximal, complemented
14#45624C212yesmaximal, complemented
15#45598C212yesmaximal, complemented
16#45578C214yesmaximal, complemented
17#45550C214yesmaximal, complemented
18#45522C212yesmaximal, complemented
19#45503C212yesmaximal, complemented
20#45493C212yesmaximal, complemented
21#35634C211yesmaximal, characteristic, complemented
22#35621C211yesmaximal, characteristic, complemented
23#35564C211yesmaximal, characteristic, complemented
24#35557C211yesmaximal, characteristic, complemented
25#35545C211yesmaximal, characteristic, complemented
26#35516C211yesmaximal, characteristic, complemented
27#35308C211yesmaximal, characteristic, complemented
28#35305C211yesmaximal, characteristic, complemented
29#35273C211yesmaximal, characteristic, complemented
30#35251C211yesmaximal, characteristic, complemented
31#35178C211yesmaximal, characteristic, complemented
32#35153C211yesmaximal, characteristic, complemented
33#34742C211yesmaximal, characteristic, complemented
34#34738C211yesmaximal, characteristic, complemented
35C2×#2423C211yesmaximal, characteristic, complemented
36C23×#41C2211yescharacteristic
37C2×#537C2211yescharacteristic
38C2×#537C2211yescharacteristic
39C2×#537C2211yescharacteristic, complemented
40C2×#536C2211yescharacteristic
41C2×#536C2211yescharacteristic
42C2×#536C2211yescharacteristic, complemented
43C2×#536C2211yescharacteristic, complemented
44C2×#532C2211yescharacteristic
45C2×#532C2211yescharacteristic
46C2×#525C2211yescharacteristic
47C2×#525C2211yescharacteristic
48C22×C22⋊Q8C2211yescharacteristic
49C2×#520C2211yescharacteristic, complemented
50C2×C4×#41C2211yescharacteristic, complemented
51C22×C4×Q8C2211yescharacteristic, complemented
52#2857C2212yescomplemented
53#2857C2212yescomplemented
54#2856C2212yescomplemented
55#2854C2214yescomplemented
56#2854C2214yescomplemented
57#2850C2212yescomplemented
58#2848C2212yes—
59#2848C2212yes—
60#2848C2212yes—
61#2847C2212yes—
62#2842C2214yes—
63#2841C2214yescomplemented
64#2841C2214yescomplemented
65#2838C2214yescomplemented
66#2837C2214yescomplemented
67#2837C2214yescomplemented
68#2837C2214yescomplemented
69#2830C2214yescomplemented
70#2829C2214yescomplemented
71#2829C2214yescomplemented
72#2829C2214yescomplemented
73#2829C2214yescomplemented
74#2829C2214yescomplemented
75#2828C2214yescomplemented
76#2827C2214yescomplemented
77#2827C2214yescomplemented
78#2826C2214yes—
79#2823C2214yescomplemented
80#2813C2214yescomplemented
81#2813C2214yescomplemented
82#2807C2214yes—
83#2807C2214yes—
84#2803C2214yescomplemented
85#2803C2214yescomplemented
86#2801C2214yescomplemented
87#2797C2214yescomplemented
88#2796C2214yescomplemented
89#2796C2214yescomplemented
90#2795C2214yescomplemented
91#2792C2214yescomplemented
92#2792C2214yescomplemented
93#2790C2214yescomplemented
94#2790C2214yescomplemented
95#2790C2214yescomplemented
96#2780C2214yescomplemented
97#2780C2214yescomplemented
98#2780C2214yescomplemented
99#2778C2214yes—
100#2757C2214yes—
101#2756C2214yescomplemented
102#2752C2214yescomplemented
103#2748C2214yes—
104#2748C2214yes—
105#2746C2214yescomplemented
106#2742C2214yescomplemented
107#2737C2214yescomplemented
108#2735C2214yes—
109#2714C2214yescomplemented
110#2705C2214yescomplemented
111#2705C2214yescomplemented
112#2705C2214yescomplemented
113#2703C2214yescomplemented
114#2699C2214yescomplemented
115#2691C2214yescomplemented
116#2691C2214yescomplemented
117#2685C2214yes—
118#2685C2214yes—
119#2685C2214yes—
120#2678C2214yes—
121#2668C2214yes—
122#2621C2212yescomplemented
123#2620C2212yescomplemented
124#2620C2212yescomplemented
125#2620C2212yescomplemented
126#2618C2214yescomplemented
127#2618C2214yescomplemented
128#2616C2212yes—
129#2616C2212yes—
130#2616C2212yes—
131#2615C2212yes—
132#2548C2212yescomplemented
133#2547C2212yescomplemented
134#2546C2212yescomplemented
135#2546C2212yescomplemented
136#2545C2212yescomplemented
137#2545C2212yescomplemented
138#2545C2212yescomplemented
139#2544C2212yescomplemented
140#2543C2214yescomplemented
141#2542C2212yes—
142#2542C2212yes—
143#2542C2212yescomplemented
144#2542C2212yescomplemented
145#2540C2212yes—
146#2540C2212yes—
147#2540C2212yescomplemented
148#2540C2212yescomplemented
149#2539C2214yes—
150#2538C2212yescomplemented
151#2538C2212yescomplemented
152#2538C2212yescomplemented
153#2538C2212yescomplemented
154#2537C2212yescomplemented
155#2537C2212yescomplemented
156#2536C2212yescomplemented
157#2536C2212yescomplemented
158#2514C2212yescomplemented
159#2513C2212yescomplemented
160#2512C2212yescomplemented
161#2512C2212yescomplemented
162#2512C2212yescomplemented
163#2511C2212yescomplemented
164#2511C2212yescomplemented
165#2511C2212yescomplemented
166#2510C2214yescomplemented
167#2501C2214yescomplemented
168#2497C2212yescomplemented
169#2497C2212yescomplemented
170#2497C2212yescomplemented
171#2496C2212yescomplemented
172#2496C2212yescomplemented
173#2496C2212yescomplemented
174#2495C2212yescomplemented
175#2494C2212yescomplemented
176#2487C2212yes—
177#2486C2212yescomplemented
178#2485C2212yes—
179#2485C2212yescomplemented
180#2481C2214yescomplemented
181#2481C2214yescomplemented
182#2481C2214yescomplemented
183#2436C2211yescharacteristic
184#2435C2211yescharacteristic
185#2435C2212yes—
186#2434C2212yes—
187#2434C2211yescharacteristic
188#2433C2211yescharacteristic
189#2432C2211yescharacteristic
190#2432C2212yes—
191#2432C2211yescharacteristic
192#2432C2212yes—
193#2431C2211yescharacteristic
194#2431C2211yescharacteristic
195#2430C2212yes—
196#2430C2214yes—
197#2430C2212yes—
198#2429C2212yescomplemented
199#2429C2212yescomplemented
200#2429C2212yescomplemented
201#2429C2212yescomplemented
202#2429C2212yescomplemented
203#2429C2212yescomplemented
204#2429C2212yescomplemented
205#2428C2212yescomplemented
206#2427C2212yescomplemented
207#2427C2212yescomplemented
208#2427C2212yescomplemented
209#2426C2212yescomplemented
210#2426C2212yescomplemented
211#2426C2212yescomplemented
212#2426C2212yescomplemented
213#2426C2212yescomplemented
214#2425C2214yescomplemented
215#2425C2214yescomplemented
216#2425C2214yescomplemented
217#2425C2214yescomplemented
218#2423C2212yes—
219#2423C2212yes—
220#2423C2212yes—
221#2423C2212yes—
222#2423C2212yes—
223#2423C2211yescharacteristic
224#2423C2211yescharacteristic, complemented
225#2423C2212yescomplemented
226#2423C2212yescomplemented
227#2423C2212yescomplemented
228#2423C2212yescomplemented
229#2422C2211yescharacteristic
230#2422C2211yescharacteristic, complemented
231#2422C2212yescomplemented
232#2421C2211yescharacteristic
233#2421C2211yescharacteristic, complemented
234#2421C2212yescomplemented
235#2420C2211yescharacteristic
236#2420C2212yes—
237#2420C2211yescharacteristic, complemented
238#2419C2212yescomplemented
239#2419C2214yescomplemented
240#2419C2212yescomplemented
241#2418C2212yes—
242#2418C2214yes—
243#2418C2212yes—
244#2417C2212yescomplemented
245#2417C2212yescomplemented
246#2417C2212yescomplemented
247#2416C2214yescomplemented
248#2416C2212yescomplemented
249#2416C2214yescomplemented
250#2416C2214yescomplemented
251#2415C2212yescomplemented
252#2415C2212yescomplemented
253#2415C2212yescomplemented
254#2414C2212yescomplemented
255#2410C2212yes—
256#2410C2214yes—
257#2410C2212yes—
258#2409C2212yes—
259#2408C2212yes—
260#2407C2212yes—
261#2407C2212yes—
262#2406C2214yes—
263#2405C2214yes—
264#2395C2212yes—
265#2395C2212yescomplemented
266C2×#399C2212yes—
267C2×#398C2212yescomplemented
268#2388C2212yes—
269#2388C2212yes—
270#2383C2214yescomplemented
271#2377C2214yescomplemented
272#2376C2214yes—
273#2375C2214yes—
274#2317C2211yescharacteristic, complemented
275#2316C2211yescharacteristic, complemented
276#2311C2211yescharacteristic
277#2311C2211yescharacteristic
278#2311C2211yescharacteristic
279#2311C2211yescharacteristic
280#2311C2211yescharacteristic, complemented
281C4×#123C2212yes—
282C4×#123C2212yescomplemented
283C4×#120C2212yes—
284C4×#120C2212yes—
285#2297C2211yescharacteristic
286#2297C2211yescharacteristic
287#2297C2211yescharacteristic, complemented
288#2296C2211yescharacteristic, complemented
289C2×#391C2211yescharacteristic, complemented
290C2×#389C2211yescharacteristic, complemented
291C2×#388C2212yes—
292C2×#387C2212yescomplemented
293#2285C2211yescharacteristic, complemented
294C2×#384C2211yescharacteristic, complemented
295#2280C2211yescharacteristic
296C2×#380C2211yescharacteristic
297#2274C2211yescharacteristic, complemented
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41—44no—
300C22×#41—44no—
301C22×#41—44no—
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2311yescharacteristic
305C22×#41C2311yescharacteristic
306C22×#41C2312yes—
307C22×#41C2312yes—
308C22×#41C2311yescharacteristic
309C22×#41C2311yescharacteristic
310C23×Q8C2311yescharacteristic
311C23×Q8C2311yescharacteristic
312C23×D4C2312yes—
313C23×D4C2311yescharacteristic
314C24×C4C2311yescharacteristic
315C24×C4C2312yes—
316#537—44no—
317#537—44no—
318#537—44no—
319#536—44no—
320#536—44no—
321#536—44no—
322#536—44no—
323#532—44no—
324#532—44no—
325C2×C4⋊Q8C2311yescharacteristic
326C2×C4⋊Q8C2312yes—
327C2×C4⋊Q8C2311yescharacteristic
328C2×C4⋊Q8C2312yes—
329C2×C4⋊Q8C2312yes—
330C2×C4⋊Q8C2312yes—
331C2×#127C2311yescharacteristic
332C2×#127C2311yescharacteristic
333C2×#126C2314yes—
334C2×#126C2314yes—
335C2×#126C2314yes—
336C2×#124C2312yes—
337C2×#124C2311yescharacteristic
338C2×#124C2311yescharacteristic
339C2×#124C2311yescharacteristic
340C2×#124C2311yescharacteristic
341C2×#124C2312yes—
342C2×#124C2312yes—
343C2×#124C2312yes—
344#525—44no—
345#525—44no—
346C2×#123C2312yes—
347C2×#123C2314yes—
348C2×#123C2314yes—
349C2×#123C2314yes—
350C2×#123C2314yes—
351C2×#123C2312yes—
352C2×#123C2312yes—
353C2×#123C2312yes—
354C2×#123C2314yes—
355C2×C22⋊Q8—44no—
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2311yescharacteristic
358C2×C22⋊Q8C2312yes—
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2312yes—
361C2×C22⋊Q8C2312yes—
362C2×C22⋊Q8C2312yes—
363C2×C22⋊Q8C2312yes—
364C2×C22⋊Q8C2312yes—
365C2×C22⋊Q8C2312yes—
366C2×C22⋊Q8C2312yes—
367C2×C22⋊Q8C2312yes—
368C2×C22⋊Q8C2312yes—
369C2×C22⋊Q8C2312yes—
370C2×C22⋊Q8C2311yescharacteristic
371C2×C22⋊Q8C2312yes—
372C2×C22⋊Q8C2312yes—
373C2×C22⋊Q8C2311yescharacteristic
374C2×C22⋊Q8C2311yescharacteristic
375C2×C22⋊Q8C2312yes—
376C2×C22⋊Q8C2312yes—
377C2×C22⋊Q8C2312yes—
378C2×#121C2311yescharacteristic
379C2×#121C2312yes—
380C2×#121C2312yes—
381C2×#121C2312yes—
382C2×#121C2312yes—
383C2×#121C2314yes—
384C2×#121C2312yes—
385C2×#121C2312yes—
386C2×#121C2314yes—
387C2×#121C2311yescharacteristic
388C2×#121C2312yes—
389C2×#121C2312yes—
390C2×#121C2312yes—
391C2×#121C2314yes—
392C2×#121C2311yescharacteristic
393C2×#121C2311yescharacteristic
394C2×#121C2312yes—
395C2×#121C2314yes—
396C2×#121C2314yes—
397C2×#121C2314yes—
398C2×#120C2312yes—
399C2×#120C2312yes—
400C2×#120C2312yes—
401C2×#120C2312yes—
402C2×#120C2314yes—
403#520—44no—
404C4×#41—44no—
405C2×C4×Q8—44no—
406C2×C4×Q8C2312yes—
407C2×C4×Q8C2312yes—
408C2×C4×Q8C2312yes—
409C2×C4×Q8C2312yes—
410C2×C4×Q8C2311yescharacteristic
411C2×C4×Q8C2311yescharacteristic
412C2×C4×Q8C2312yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2311yescharacteristic
423C2×C4×D4C2311yescharacteristic
424C2×C4×D4C2314yes—
425C2×C4×D4C2312yes—
426C2×C4×D4C2312yes—
427C2×#117C2311yescharacteristic
428C2×#117C2311yescharacteristic
429C2×#117C2311yescharacteristic
430C2×#117C2311yescharacteristic
431C2×#117C2312yes—
432C2×#117C2312yes—
433C22×C4⋊C4C2311yescharacteristic
434C22×C4⋊C4C2311yescharacteristic
435C22×C4⋊C4C2311yescharacteristic
436C22×C4⋊C4C2312yes—
437C22×C4⋊C4C2312yes—
438C22×C4⋊C4C2312yes—
439C22×C4⋊C4C2312yes—
440C22×C4⋊C4C2312yes—
441C22×C4⋊C4C2312yes—
442C22×C22⋊C4C2311yescharacteristic
443C22×C22⋊C4C2311yescharacteristic
444C22×C22⋊C4C2312yes—
445C22×C22⋊C4C2312yes—
446C22×C42C2311yescharacteristic
447C22×C42C2311yescharacteristic
448C22×C42C2312yes—
449C22×C42C2312yes—
450#401C2314yes—
451#400C2314yes—
452#400C2314yes—
453#400C2312yes—
454#400C2314yes—
455#400C2314yes—
456#400C2314yes—
457#400C2314yes—
458#400C2312yes—
459#400C2314yes—
460#400C2314yes—
461#399C2314yes—
462#399C2314yes—
463#399C2314yes—
464#399C2314yes—
465#399C2314yes—
466#399C2314yes—
467#399C2314yes—
468#399C2312yes—
469#399C2314yes—
470#399C2312yes—
471#399C2314yes—
472#399C2314yes—
473#399C2314yes—
474#398C2312yes—
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#398C2314yes—
489#398C2312yes—
490#397C2314yes—
491#397C2314yes—
492#397C2312yes—
493#397C2314yes—
494#397C2314yes—
495#397C2314yes—
496#397C2314yes—
497#397C2314yes—
498#397C2312yes—
499#397C2312yes—
500#397C2312yes—
501#397C2314yes—
502#397C2314yes—
503#397C2314yes—
504#397C2314yes—
505#397C2314yes—
506#397C2314yes—
507#397C2312yes—
508#397C2312yes—
509#396C2314yes—
510#396C2314yes—
511#396C2314yes—
512#396C2314yes—
513#396C2314yes—
514#396C2314yes—
515#396C2314yes—
516#396C2314yes—
517#396C2314yes—
518#396C2314yes—
519#396C2314yes—
520#396C2314yes—
521#396C2314yes—
522#396C2314yes—
523#396C2314yes—
524#396C2314yes—
525#396C2314yes—
526#396C2314yes—
527#396C2314yes—
528#396C2314yes—
529#396C2314yes—
530#395C2314yes—
531#395C2314yes—
532#395C2314yes—
533#395C2312yes—
534#395C2312yes—
535#394C2312yes—
536#394C2314yes—
537#394C2314yes—
538#394C2312yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2314yes—
544#394C2314yes—
545#394C2314yes—
546#394C2312yes—
547#394C2314yes—
548#394C2314yes—
549#394C2314yes—
550#394C2314yes—
551#394C2312yes—
552#394C2314yes—
553#394C2314yes—
554#394C2314yes—
555#394C2312yes—
556#394C2312yes—
557#394C2314yes—
558#394C2314yes—
559#394C2314yes—
560#394C2314yes—
561#394C2314yes—
562#394C2314yes—
563#394C2314yes—
564#394C2312yes—
565#394C2312yes—
566#394C2314yes—
567#394C2314yes—
568#394C2312yes—
569#394C2312yes—
570#394C2314yes—
571#393C2312yes—
572#393C2314yes—
573#393C2312yes—
574#392C2314yes—
575#392C2312yes—
576#392C2314yes—
577#392C2314yes—
578#392C2314yes—
579#392C2314yes—
580#392C2312yes—
581#392C2312yes—
582#392C2314yes—
583#392C2312yes—
584#392C2312yes—
585#392C2312yes—
586#391C2312yes—
587#391C2312yes—
588#391C2312yes—
589#391C2312yes—
590#391C2312yes—
591#391C2312yes—
592#391C2311yescharacteristic
593#391C2312yes—
594#391C2311yescharacteristic
595#391C2311yescharacteristic
596#391C2312yes—
597#391C2312yes—
598#391C2311yescharacteristic
599#391C2311yescharacteristic
600#391C2311yescharacteristic
601#390C2312yes—
602#390C2312yes—
603#390C2312yes—
604#390C2312yes—
605#390C2312yes—
606#390C2314yes—
607#390C2314yes—
608#390C2314yes—
609#390C2314yes—
610#390C2314yes—
611#390C2314yes—
612#390C2314yes—
613#390C2311yescharacteristic
614#390C2314yes—
615#390C2314yes—
616#390C2314yes—
617#390C2311yescharacteristic
618#390C2314yes—
619#390C2314yes—
620#390C2314yes—
621#390C2311yescharacteristic
622#390C2311yescharacteristic
623#390C2311yescharacteristic
624#390C2311yescharacteristic
625#389C2312yes—
626#389C2312yes—
627#389C2312yes—
628#389C2312yes—
629#389C2312yes—
630#389C2312yes—
631#389C2314yes—
632#389C2314yes—
633#389C2314yes—
634#389C2314yes—
635#389C2314yes—
636#389C2314yes—
637#389C2314yes—
638#389C2314yes—
639#389C2314yes—
640#389C2314yes—
641#389C2314yes—
642#389C2312yes—
643#389C2311yescharacteristic
644#389C2311yescharacteristic
645#389C2312yes—
646#389C2311yescharacteristic
647#389C2311yescharacteristic
648#389C2312yes—
649#389C2312yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2312yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2312yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2312yes—
676#388C2312yes—
677#388C2314yes—
678#388C2314yes—
679#387C2312yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2312yes—
691#387C2314yes—
692#387C2312yes—
693#387C2312yes—
694#387C2314yes—
695#387C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2312yes—
702#386C2314yes—
703#386C2312yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2312yes—
709#386C2312yes—
710#386C2312yes—
711#386C2312yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2312yes—
716#386C2314yes—
717#386C2314yes—
718#386C2312yes—
719#386C2312yes—
720#386C2312yes—
721#386C2312yes—
722#386C2312yes—
723#386C2312yes—
724#386C2312yes—
725#385C2314yes—
726#385C2312yes—
727#385C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2312yes—
737#385C2314yes—
738#385C2312yes—
739#385C2312yes—
740#385C2312yes—
741#385C2312yes—
742#385C2312yes—
743#385C2312yes—
744#385C2312yes—
745#385C2312yes—
746#384C2314yes—
747#384C2312yes—
748#384C2312yes—
749#384C2312yes—
750#384C2314yes—
751#384C2311yescharacteristic
752#384C2311yescharacteristic
753#384C2312yes—
754#384C2312yes—
755#383C2314yes—
756#382C2312yes—
757#382C2311yescharacteristic
758#382C2311yescharacteristic
759#381C2312yes—
760#381C2314yes—
761#381C2312yes—
762#381C2312yes—
763#380C2312yes—
764#380C2312yes—
765#380C2312yes—
766#380C2312yes—
767#380C2312yes—
768#380C2312yes—
769#380C2312yes—
770#380C2312yes—
771#380C2312yes—
772#380C2312yes—
773#380C2314yes—
774#380C2314yes—
775#380C2314yes—
776#380C2314yes—
777#380C2314yes—
778#380C2312yes—
779#380C2311yescharacteristic
780#380C2311yescharacteristic
781#380C2312yes—
782#380C2314yes—
783#380C2314yes—
784#380C2312yes—
785#380C2311yescharacteristic
786#380C2311yescharacteristic
787#380C2312yes—
788#380C2312yes—
789#380C2312yes—
790#380C2314yes—
791#379C2312yes—
792#379C2314yes—
793#379C2314yes—
794#379C2314yes—
795#379C2312yes—
796#379C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2311yescharacteristic
818C4×C22⋊C4C2311yescharacteristic
819C4×C22⋊C4C2311yescharacteristic
820C4×C22⋊C4C2311yescharacteristic
821C4×C22⋊C4C2314yes—
822C2×#95C2311yescharacteristic
823C2×#95C2312yes—
824C2×#95C2312yes—
825C2×#95C2312yes—
826C2×#95C2311yescharacteristic
827C2×#95C2312yes—
828C25C2411yescharacteristic
829C25C2412yes—
830C2×#41—24no—
831C2×#41—24no—
832C2×#41—24no—
833C2×#41—24no—
834C2×#41—24no—
835C2×#41—24no—
836C2×#41—24no—
837C2×#41—24no—
838C2×#41—24no—
839C2×#41—24no—
840C2×#41—24no—
841C2×#41—24no—
842C2×#41—44no—
843C2×#41—44no—
844C2×#41—44no—
845C2×#41—44no—
846C2×#41—44no—
847C2×#41—44no—
848C2×#41—42no—
849C2×#41—42no—
850C2×#41—42no—
851C2×#41—42no—
852C2×#41—42no—
853C2×#41—42no—
854C2×#41—464no—
855C22×Q8—24no—
856C22×Q8—24no—
857C22×Q8—24no—
858C22×Q8—42no—
859C22×Q8—42no—
860C22×Q8—42no—
861C22×Q8C2412yes—
862C22×Q8C2411yescharacteristic
863C22×Q8C2412yes—
864C22×Q8C2411yescharacteristic
865C22×Q8C2411yescharacteristic
866C22×Q8C2411yescharacteristic
867C22×Q8C2412yes—
868C22×D4—42no—
869C22×D4—42no—
870C22×D4—42no—
871C22×D4—44no—
872C22×D4—44no—
873C22×D4—44no—
874C22×D4C2412yes—
875C22×D4C2412yes—
876C22×D4C2411yescharacteristic
877C22×D4C2411yescharacteristic
878C22×D4C2412yes—
879C22×D4C2412yes—
880C22×D4C2411yescharacteristic
881C22×D4C2411yescharacteristic
882C22×D4C2412yes—
883C22×D4C2412yes—
884C22×D4C2412yes—
885C22×D4C2412yes—
886C22×D4C2412yes—
887C22×D4C2412yes—
888C22×D4C2412yes—
889C22×D4C2412yes—
890C22×D4C2414yes—
891C22×D4C2414yes—
892C22×D4C2414yes—
893C22×D4C2412yes—
894C22×D4C2412yes—
895C22×D4C2412yes—
896C23×C4—24no—
897C23×C4—24no—
898C23×C4—24no—
899C23×C4—44no—
900C23×C4—44no—
901C23×C4—44no—
902C23×C4C2412yes—
903C23×C4C2411yescharacteristic
904C23×C4C2412yes—
905C23×C4C2412yes—
906C23×C4C2411yescharacteristic
907C23×C4C2411yescharacteristic
908C23×C4C2411yescharacteristic
909C23×C4C2411yescharacteristic
910C23×C4C2412yes—
911C23×C4C2412yes—
912C23×C4C2411yescharacteristic
913C23×C4C2411yescharacteristic
914C23×C4C2411yescharacteristic
915C23×C4C2412yes—
916C23×C4C2411yescharacteristic
917C23×C4C2412yes—
918C23×C4C2412yes—
919C23×C4C2412yes—
920C23×C4C2412yes—
921C23×C4C2414yes—
922C23×C4C2412yes—
923C23×C4C2412yes—
924C23×C4C2412yes—
925C23×C4C2411yescharacteristic
926C4⋊Q8—42no—
927C4⋊Q8—42no—
928C4⋊Q8—44no—
929C4⋊Q8—44no—
930C4⋊Q8—44no—
931C4⋊Q8—44no—
932#127—42no—
933#127—42no—
934#126—48no—
935#126—84no—
936#126—84no—
937#124—42no—
938#124—42no—
939#124—42no—
940#124—42no—
941#124—44no—
942#124—44no—
943#124—44no—
944#124—44no—
945#123—28no—
946#123—44no—
947#123—44no—
948#123—44no—
949#123—48no—
950#123—48no—
951#123—48no—
952#123—48no—
953#123—84no—
954C22⋊Q8—44no—
955C22⋊Q8—44no—
956C22⋊Q8—44no—
957C22⋊Q8—44no—
958C22⋊Q8—42no—
959C22⋊Q8—42no—
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—
974C22⋊Q8—44no—
975C22⋊Q8—44no—
976#121—48no—
977#121—42no—
978#121—42no—
979#121—42no—
980#121—42no—
981#121—44no—
982#121—44no—
983#121—44no—
984#121—44no—
985#121—44no—
986#121—44no—
987#121—44no—
988#121—44no—
989#121—44no—
990#121—44no—
991#121—48no—
992#121—48no—
993#121—48no—
994#121—84no—
995#121—84no—
996#120—28no—
997#120—44no—
998#120—44no—
999#120—44no—
1000#120—84no—
1001C4×Q8—44no—
1002C4×Q8—44no—
1003C4×Q8—44no—
1004C4×Q8—44no—
1005C4×Q8—42no—
1006C4×Q8—42no—
1007C4×Q8—44no—
1008C4×D4—42no—
1009C4×D4—42no—
1010C4×D4—44no—
1011C4×D4—44no—
1012C4×D4—44no—
1013C4×D4—44no—
1014C4×D4—44no—
1015C4×D4—44no—
1016C4×D4—44no—
1017C4×D4—44no—
1018C4×D4—44no—
1019C4×D4—44no—
1020C4×D4—44no—
1021C4×D4—48no—
1022#117—24no—
1023#117—24no—
1024#117—24no—
1025#117—24no—
1026#117—44no—
1027#117—44no—
1028C2×C4⋊C4—24no—
1029C2×C4⋊C4—24no—
1030C2×C4⋊C4—24no—
1031C2×C4⋊C4—44no—
1032C2×C4⋊C4—44no—
1033C2×C4⋊C4—44no—
1034C2×C4⋊C4—44no—
1035C2×C4⋊C4—82no—
1036C2×C4⋊C4—82no—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2411yescharacteristic
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2411yescharacteristic
1046C2×C4⋊C4C2411yescharacteristic
1047C2×C4⋊C4C2411yescharacteristic
1048C2×C4⋊C4C2411yescharacteristic
1049C2×C4⋊C4C2411yescharacteristic
1050C2×C4⋊C4C2411yescharacteristic
1051C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2414yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2414yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2414yes—
1081C2×C4⋊C4C2414yes—
1082C2×C4⋊C4C2414yes—
1083C2×C4⋊C4C2414yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2414yes—
1086C2×C4⋊C4C2414yes—
1087C2×C4⋊C4C2414yes—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2414yes—
1095C2×C22⋊C4—24no—
1096C2×C22⋊C4—42no—
1097C2×C22⋊C4—44no—
1098C2×C22⋊C4—82no—
1099C2×C22⋊C4C2411yescharacteristic
1100C2×C22⋊C4C2411yescharacteristic
1101C2×C22⋊C4C2411yescharacteristic
1102C2×C22⋊C4C2411yescharacteristic
1103C2×C22⋊C4C2411yescharacteristic
1104C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2411yescharacteristic
1118C2×C22⋊C4C2411yescharacteristic
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2411yescharacteristic
1174C2×C42—24no—
1175C2×C42—24no—
1176C2×C42—44no—
1177C2×C42—44no—
1178C2×C42C2411yescharacteristic
1179C2×C42C2412yes—
1180C2×C42C2412yes—
1181C2×C42C2412yes—
1182C2×C42C2412yes—
1183C2×C42C2411yescharacteristic
1184C2×C42C2411yescharacteristic
1185C2×C42C2411yescharacteristic
1186C2×C42C2411yescharacteristic
1187C2×C42C2411yescharacteristic
1188C2×C42C2411yescharacteristic
1189C2×C42C2411yescharacteristic
1190C2×C42C2414yes—
1191C2×C42C2412yes—
1192C2×C42C2412yes—
1193C2×C42C2414yes—
1194C2×C42C2414yes—
1195C2×C42C2414yes—
1196C2×C42C2414yes—
1197#95C2411yescharacteristic
1198#95C2411yescharacteristic
1199#95C2411yescharacteristic
1200#95C2411yescharacteristic
1201#95C2411yescharacteristic
1202#95C2411yescharacteristic
1203#95C2411yescharacteristic
1204#95C2411yescharacteristic
1205#95C2414yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2412yes—
1220#95C2412yes—
1221#95C2412yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2412yes—
1228#95C2412yes—
1229#95C2412yes—
1230#95C2412yes—
1231#95C2412yes—
1232#95C2412yes—
1233#95C2412yes—
1234#95C2412yes—
1235#95C2412yes—
1236#95C2412yes—
1237#95C2412yes—
1238#95C2412yes—
1239#95C2414yes—
1240#95C2414yes—
1241#95C2414yes—
1242#95C2414yes—
1243#95C2414yes—
1244#95C2414yes—
1245#95C2414yes—
1246#95C2414yes—
1247#95C2414yes—
1248#95C2414yes—
1249#95C2414yes—
1250#95C2414yes—
1251#95C2414yes—
1252#95C2414yes—
1253C24—22no—
1254C24—22no—
1255C24—22no—
1256C24—22no—
1257C24—24no—
1258C24—41no—
1259C24—41no—
1260C24—42no—
1261C24—42no—
1262C24—42no—
1263C24—41no—
1264C24—42no—
1265C24—42no—
1266C24—42no—
1267C24C2511yescharacteristic
1268C24C2512yes—
1269C24C2512yes—
1270C24C2512yes—
1271C24C2512yes—
1272C24C2511yescharacteristic
1273C24C2511yescharacteristic
1274#41—432no—
1275#41—416no—
1276#41—416no—
1277#41—432no—
1278#41—416no—
1279#41—416no—
1280#41—416no—
1281#41—416no—
1282C2×Q8—24no—
1283C2×Q8—24no—
1284C2×Q8—22no—
1285C2×Q8—22no—
1286C2×Q8—24no—
1287C2×Q8—22no—
1288C2×Q8—24no—
1289C2×Q8—24no—
1290C2×Q8—22no—
1291C2×Q8—22no—
1292C2×Q8—22no—
1293C2×Q8—22no—
1294C2×Q8—24no—
1295C2×Q8—22no—
1296C2×Q8—22no—
1297C2×Q8—22no—
1298C2×Q8—22no—
1299C2×Q8—22no—
1300C2×Q8—42no—
1301C2×Q8—42no—
1302C2×Q8—42no—
1303C2×Q8—416no—
1304C2×Q8—416no—
1305C2×D4—24no—
1306C2×D4—24no—
1307C2×D4—24no—
1308C2×D4—24no—
1309C2×D4—24no—
1310C2×D4—24no—
1311C2×D4—24no—
1312C2×D4—24no—
1313C2×D4—24no—
1314C2×D4—24no—
1315C2×D4—24no—
1316C2×D4—24no—
1317C2×D4—24no—
1318C2×D4—24no—
1319C2×D4—22no—
1320C2×D4—22no—
1321C2×D4—22no—
1322C2×D4—22no—
1323C2×D4—22no—
1324C2×D4—22no—
1325C2×D4—22no—
1326C2×D4—22no—
1327C2×D4—22no—
1328C2×D4—22no—
1329C2×D4—22no—
1330C2×D4—22no—
1331C2×D4—24no—
1332C2×D4—24no—
1333C2×D4—24no—
1334C2×D4—42no—
1335C2×D4—42no—
1336C2×D4—42no—
1337C2×D4—42no—
1338C2×D4—42no—
1339C2×D4—42no—
1340C2×D4—42no—
1341C2×D4—42no—
1342C2×D4—42no—
1343C2×D4—42no—
1344C2×D4—42no—
1345C2×D4—42no—
1346C2×D4—42no—
1347C2×D4—42no—
1348C2×D4—42no—
1349C2×D4—42no—
1350C2×D4—42no—
1351C2×D4—42no—
1352C2×D4—42no—
1353C2×D4—42no—
1354C2×D4—42no—
1355C2×D4—42no—
1356C2×D4—42no—
1357C2×D4—42no—
1358C2×D4—42no—
1359C2×D4—42no—
1360C2×D4—42no—
1361C2×D4—42no—
1362C2×D4—44no—
1363C2×D4—44no—
1364C2×D4—44no—
1365C2×D4—44no—
1366C2×D4—44no—
1367C2×D4—44no—
1368C2×D4—44no—
1369C2×D4—44no—
1370C2×D4—44no—
1371C2×D4—432no—
1372C2×D4—416no—
1373C22×C4—22no—
1374C22×C4—22no—
1375C22×C4—22no—
1376C22×C4—24no—
1377C22×C4—22no—
1378C22×C4—24no—
1379C22×C4—24no—
1380C22×C4—22no—
1381C22×C4—22no—
1382C22×C4—22no—
1383C22×C4—24no—
1384C22×C4—24no—
1385C22×C4—24no—
1386C22×C4—24no—
1387C22×C4—24no—
1388C22×C4—24no—
1389C22×C4—24no—
1390C22×C4—22no—
1391C22×C4—22no—
1392C22×C4—22no—
1393C22×C4—22no—
1394C22×C4—24no—
1395C22×C4—24no—
1396C22×C4—24no—
1397C22×C4—24no—
1398C22×C4—22no—
1399C22×C4—22no—
1400C22×C4—22no—
1401C22×C4—22no—
1402C22×C4—24no—
1403C22×C4—24no—
1404C22×C4—22no—
1405C22×C4—22no—
1406C22×C4—22no—
1407C22×C4—22no—
1408C22×C4—24no—
1409C22×C4—24no—
1410C22×C4—22no—
1411C22×C4—22no—
1412C22×C4—22no—
1413C22×C4—24no—
1414C22×C4—24no—
1415C22×C4—41no—
1416C22×C4—42no—
1417C22×C4—42no—
1418C22×C4—42no—
1419C22×C4—42no—
1420C22×C4—42no—
1421C22×C4—42no—
1422C22×C4—42no—
1423C22×C4—42no—
1424C22×C4—42no—
1425C22×C4—41no—
1426C22×C4—41no—
1427C22×C4—42no—
1428C22×C4—42no—
1429C22×C4—41no—
1430C22×C4—42no—
1431C22×C4—42no—
1432C22×C4—42no—
1433C22×C4—42no—
1434C22×C4—42no—
1435C22×C4—41no—
1436C22×C4—42no—
1437C22×C4—42no—
1438C22×C4—42no—
1439C22×C4—44no—
1440C22×C4—44no—
1441C22×C4—44no—
1442C22×C4—432no—
1443C22×C4—416no—
1444C22×C4H(5,𝔽2)14yes—
1445C22×C4H(5,𝔽2)14yes—
1446C22×C4H(5,𝔽2)14yes—
1447C22×C4C2511yescharacteristic
1448C22×C4C2512yes—
1449C22×C4C2514yes—
1450C22×C4C2511yescharacteristic
1451C22×C4C2511yescharacteristic
1452C22×C4C2512yes—
1453C22×C4C2512yes—
1454C22×C4C2512yes—
1455C22×C4C2512yes—
1456C22×C4C2512yes—
1457C22×C4C2511yescharacteristic
1458C22×C4C2511yescharacteristic
1459C22×C4C2512yes—
1460C22×C4C2512yes—
1461C22×C4C2511yescharacteristic
1462C22×C4C2512yes—
1463C22×C4C2512yes—
1464C22×C4C2514yes—
1465C22×C4C2514yes—
1466C22×C4C2511yescharacteristic
1467C22×C4C2514yes—
1468C22×C4C2512yes—
1469C22×C4C2512yes—
1470C22×C4C2511yescharacteristic
1471C22×C4C2511yescharacteristic
1472C22×C4C2511yescharacteristic
1473C22×C4C2511yescharacteristic
1474C22×C4C2511yescharacteristic
1475C4⋊C4—24no—
1476C4⋊C4—24no—
1477C4⋊C4—24no—
1478C4⋊C4—24no—
1479C4⋊C4—24no—
1480C4⋊C4—24no—
1481C4⋊C4—22no—
1482C4⋊C4—22no—
1483C4⋊C4—22no—
1484C4⋊C4—22no—
1485C4⋊C4—22no—
1486C4⋊C4—22no—
1487C4⋊C4—22no—
1488C4⋊C4—22no—
1489C4⋊C4—24no—
1490C4⋊C4—24no—
1491C4⋊C4—28no—
1492C4⋊C4—24no—
1493C4⋊C4—44no—
1494C4⋊C4—44no—
1495C4⋊C4—44no—
1496C4⋊C4—44no—
1497C4⋊C4—44no—
1498C4⋊C4—44no—
1499C4⋊C4—44no—
1500C4⋊C4—44no—
1501C4⋊C4—44no—
1502C4⋊C4—44no—
1503C4⋊C4—42no—
1504C4⋊C4—42no—
1505C4⋊C4—44no—
1506C4⋊C4—42no—
1507C4⋊C4—42no—
1508C4⋊C4—42no—
1509C4⋊C4—42no—
1510C4⋊C4—42no—
1511C4⋊C4—42no—
1512C4⋊C4—42no—
1513C4⋊C4—42no—
1514C4⋊C4—42no—
1515C4⋊C4—42no—
1516C4⋊C4—44no—
1517C4⋊C4—44no—
1518C4⋊C4—44no—
1519C4⋊C4—44no—
1520C4⋊C4—44no—
1521C4⋊C4—44no—
1522C4⋊C4—44no—
1523C4⋊C4—44no—
1524C4⋊C4—44no—
1525C4⋊C4—44no—
1526C4⋊C4—44no—
1527C4⋊C4—42no—
1528C4⋊C4—44no—
1529C4⋊C4—44no—
1530C4⋊C4—44no—
1531C4⋊C4—42no—
1532C4⋊C4—42no—
1533C22⋊C4—24no—
1534C22⋊C4—24no—
1535C22⋊C4—24no—
1536C22⋊C4—24no—
1537C22⋊C4—22no—
1538C22⋊C4—24no—
1539C22⋊C4—22no—
1540C22⋊C4—22no—
1541C22⋊C4—24no—
1542C22⋊C4—24no—
1543C22⋊C4—24no—
1544C22⋊C4—22no—
1545C22⋊C4—22no—
1546C22⋊C4—24no—
1547C22⋊C4—41no—
1548C22⋊C4—41no—
1549C22⋊C4—44no—
1550C22⋊C4—44no—
1551C22⋊C4—44no—
1552C22⋊C4—44no—
1553C22⋊C4—42no—
1554C22⋊C4—42no—
1555C22⋊C4—42no—
1556C22⋊C4—44no—
1557C22⋊C4—42no—
1558C22⋊C4—42no—
1559C22⋊C4—42no—
1560C22⋊C4—44no—
1561C22⋊C4—42no—
1562C22⋊C4—42no—
1563C22⋊C4—42no—
1564C22⋊C4—42no—
1565C22⋊C4—42no—
1566C22⋊C4—42no—
1567C22⋊C4—42no—
1568C22⋊C4—42no—
1569C22⋊C4—42no—
1570C22⋊C4—42no—
1571C22⋊C4—42no—
1572C22⋊C4—42no—
1573C22⋊C4—42no—
1574C22⋊C4—42no—
1575C22⋊C4—42no—
1576C22⋊C4—42no—
1577C22⋊C4—42no—
1578C22⋊C4—44no—
1579C22⋊C4—44no—
1580C22⋊C4—44no—
1581C22⋊C4—44no—
1582C22⋊C4—44no—
1583C22⋊C4—44no—
1584C22⋊C4—44no—
1585C22⋊C4—44no—
1586C22⋊C4—44no—
1587C22⋊C4—44no—
1588C22⋊C4—42no—
1589C22⋊C4—44no—
1590C22⋊C4—44no—
1591C22⋊C4—44no—
1592C22⋊C4—44no—
1593C22⋊C4—44no—
1594C22⋊C4—44no—
1595C22⋊C4—44no—
1596C22⋊C4—44no—
1597C22⋊C4—44no—
1598C22⋊C4—44no—
1599C22⋊C4—44no—
1600C22⋊C4—42no—
1601C22⋊C4—42no—
1602C22⋊C4—42no—
1603C22⋊C4—44no—
1604C22⋊C4—44no—
1605C22⋊C4—42no—
1606C22⋊C4—42no—
1607C22⋊C42−1+414yes—
1608C42—22no—
1609C42—22no—
1610C42—22no—
1611C42—22no—
1612C42—22no—
1613C42—22no—
1614C42—22no—
1615C42—22no—
1616C42—24no—
1617C42—24no—
1618C42—24no—
1619C42—24no—
1620C42—42no—
1621C42—42no—
1622C42—44no—
1623C42—44no—
1624C42—44no—
1625C42—44no—
1626C42—44no—
1627C23—21no—
1628C23—21no—
1629C23—21no—
1630C23—21no—
1631C23—21no—
1632C23—21no—
1633C23—21no—
1634C23—21no—
1635C23—21no—
1636C23—21no—
1637C23—22no—
1638C23—22no—
1639C23—21no—
1640C23—22no—
1641C23—22no—
1642C23—22no—
1643C23—22no—
1644C23—22no—
1645C23—22no—
1646C23—21no—
1647C23—21no—
1648C23—22no—
1649C23—22no—
1650C23—22no—
1651C23—22no—
1652C23—21no—
1653C23—22no—
1654C23—22no—
1655C23—22no—
1656C23—22no—
1657C23—22no—
1658C23—21no—
1659C23—22no—
1660C23—22no—
1661C23—22no—
1662C23—21no—
1663C23—22no—
1664C23—22no—
1665C23—22no—
1666C23—22no—
1667C23—22no—
1668C23—22no—
1669C23—22no—
1670C23—22no—
1671C23—21no—
1672C23—44no—
1673C23—44no—
1674C23—44no—
1675C23—48no—
1676C23—44no—
1677C23—82no—
1678C23—82no—
1679C23—82no—
1680C23—84no—
1681C23—84no—
1682C23—84no—
1683C23—84no—
1684C23—84no—
1685C23—84no—
1686C23C2×H(5,𝔽2)12yes—
1687C23C2×H(5,𝔽2)12yes—
1688C23C2×H(5,𝔽2)12yes—
1689C23C2×2−1+412yes—
1690C23C2611yescharacteristic
1691Q8—48no—
1692Q8—48no—
1693Q8—48no—
1694Q8—44no—
1695Q8—44no—
1696Q8—44no—
1697Q8—44no—
1698D4—48no—
1699D4—48no—
1700D4—48no—
1701D4—48no—
1702D4—48no—
1703D4—48no—
1704D4—48no—
1705D4—44no—
1706D4—44no—
1707D4—44no—
1708D4—44no—
1709D4—84no—
1710D4—84no—
1711D4—84no—
1712D4—84no—
1713D4—84no—
1714D4—84no—
1715D4—84no—
1716D4—84no—
1717D4—164no—
1718D4—164no—
1719D4—164no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—22no—
1732C2×C4—22no—
1733C2×C4—22no—
1734C2×C4—22no—
1735C2×C4—22no—
1736C2×C4—22no—
1737C2×C4—22no—
1738C2×C4—22no—
1739C2×C4—24no—
1740C2×C4—22no—
1741C2×C4—22no—
1742C2×C4—24no—
1743C2×C4—24no—
1744C2×C4—24no—
1745C2×C4—22no—
1746C2×C4—22no—
1747C2×C4—24no—
1748C2×C4—24no—
1749C2×C4—22no—
1750C2×C4—22no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—22no—
1756C2×C4—22no—
1757C2×C4—22no—
1758C2×C4—22no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—22no—
1762C2×C4—22no—
1763C2×C4—22no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—22no—
1767C2×C4—22no—
1768C2×C4—22no—
1769C2×C4—22no—
1770C2×C4—22no—
1771C2×C4—24no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—22no—
1775C2×C4—22no—
1776C2×C4—24no—
1777C2×C4—21no—
1778C2×C4—22no—
1779C2×C4—22no—
1780C2×C4—24no—
1781C2×C4—22no—
1782C2×C4—22no—
1783C2×C4—24no—
1784C2×C4—24no—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—22no—
1791C2×C4—22no—
1792C2×C4—22no—
1793C2×C4—22no—
1794C2×C4—24no—
1795C2×C4—44no—
1796C2×C4—44no—
1797C2×C4—44no—
1798C2×C4—48no—
1799C2×C4—48no—
1800C2×C4—48no—
1801C2×C4—44no—
1802C2×C4—48no—
1803C2×C4—44no—
1804C2×C4—44no—
1805C2×C4—44no—
1806C2×C4—44no—
1807C2×C4—48no—
1808C2×C4—48no—
1809C2×C4—48no—
1810C2×C4—48no—
1811C2×C4—84no—
1812C2×C4—84no—
1813C2×C4—84no—
1814C2×C4—82no—
1815C2×C4—84no—
1816C2×C4—84no—
1817C2×C4—164no—
1818C2×C4#560116yes—
1819C2×C4C2×H(5,𝔽2)12yes—
1820C2×C4C2×H(5,𝔽2)12yes—
1821C2×C4C2×H(5,𝔽2)12yes—
1822C2×C4C2×H(5,𝔽2)12yes—
1823C2×C4C2×H(5,𝔽2)12yes—
1824C2×C4C2×H(5,𝔽2)12yes—
1825C2×C4C2×2−1+412yes—
1826C2×C4C2×2−1+412yes—
1827C2×C4#58512yes—
1828C22—22no—
1829C22—22no—
1830C22—22no—
1831C22—22no—
1832C22—22no—
1833C22—22no—
1834C22—22no—
1835C22—22no—
1836C22—22no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—41no—
1841C22—42no—
1842C22—42no—
1843C22—41no—
1844C22—42no—
1845C22—42no—
1846C22—42no—
1847C22—41no—
1848C22—42no—
1849C22—42no—
1850C22—42no—
1851C22—42no—
1852C22—41no—
1853C22—42no—
1854C22—42no—
1855C22—42no—
1856C22—42no—
1857C22—42no—
1858C22—42no—
1859C22—41no—
1860C22—42no—
1861C22—42no—
1862C22—42no—
1863C22—41no—
1864C22—42no—
1865C22—42no—
1866C22—42no—
1867C22—42no—
1868C22—42no—
1869C22—41no—
1870C22—42no—
1871C22—42no—
1872C22—42no—
1873C22—42no—
1874C22—42no—
1875C22—41no—
1876C22—88no—
1877C22—816no—
1878C22C2×#56014yes—
1879C22C22×H(5,𝔽2)11yescharacteristic
1880C22C22×H(5,𝔽2)11yescharacteristic
1881C22C22×H(5,𝔽2)11yescharacteristic
1882C22C22×2−1+411yescharacteristic
1883C22C2×#58511yescharacteristic
1884C22H(7,𝔽2)11yescharacteristic
1885C222−1+611yescharacteristic
1886C4—22no—
1887C4—22no—
1888C4—22no—
1889C4—42no—
1890C4—42no—
1891C4—44no—
1892C4—42no—
1893C4—42no—
1894C4—41no—
1895C4—42no—
1896C4—42no—
1897C4—41no—
1898C4—41no—
1899C4—41no—
1900C4—42no—
1901C4—42no—
1902C4—42no—
1903C4—42no—
1904C4—44no—
1905C4—41no—
1906C4—42no—
1907C4—42no—
1908C4—41no—
1909C4—41no—
1910C4—44no—
1911C4—44no—
1912C4C2×#56014yes—
1913C4C2×#56014yes—
1914C2—24no—
1915C2—42no—
1916C2—82no—
1917C2—82no—
1918C2—81no—
1919C2—82no—
1920C2—82no—
1921C2C22×#56011yescharacteristic
1922C2#6283511yescharacteristic
1923C2#6287811yescharacteristic
1924C2#6292711yescharacteristic
1925C2#6294211yescharacteristic
1926C2#6294411yescharacteristic
1927C2#6295511yescharacteristic
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. #53066C2semidirect
2. #53047C2semidirect
3. #53045C2semidirect
4. #53044C2semidirect
5. #53022C2semidirect
6. #53018C2semidirect
7. #53014C2semidirect
8. #53007C2semidirect
9. #52549C2semidirect
10. #52548C2semidirect
11. #45647C2semidirect
12. #45646C2semidirect
13. #45628C2semidirect
14. #45624C2semidirect
15. #45598C2semidirect
16. #45578C2semidirect
17. #45550C2semidirect
18. #45522C2semidirect
19. #45503C2semidirect
20. #45493C2semidirect
21. #35634C2semidirect
22. #35621C2semidirect
23. #35564C2semidirect
24. #35557C2semidirect
25. #35545C2semidirect
26. #35516C2semidirect
27. #35308C2semidirect
28. #35305C2semidirect
29. #35273C2semidirect
30. #35251C2semidirect
31. #35178C2semidirect
32. #35153C2semidirect
33. #34742C2semidirect
34. #34738C2semidirect
35. C2×#2423C2semidirect
39. C2×#537C22semidirect
42. C2×#536C22semidirect
43. C2×#536C22semidirect
49. C2×#520C22semidirect
50. C2×C4×#41C22semidirect
51. C22×C4×Q8C22semidirect
52. #2857C22semidirect
53. #2857C22semidirect
54. #2856C22semidirect
55. #2854C22semidirect
56. #2854C22semidirect
57. #2850C22semidirect
63. #2841C22semidirect
64. #2841C22semidirect
65. #2838C22semidirect
66. #2837C22semidirect
67. #2837C22semidirect
68. #2837C22semidirect
69. #2830C22semidirect
70. #2829C22semidirect
71. #2829C22semidirect
72. #2829C22semidirect
73. #2829C22semidirect
74. #2829C22semidirect
75. #2828C22semidirect
76. #2827C22semidirect
77. #2827C22semidirect
79. #2823C22semidirect
80. #2813C22semidirect
81. #2813C22semidirect
84. #2803C22semidirect
85. #2803C22semidirect
86. #2801C22semidirect
87. #2797C22semidirect
88. #2796C22semidirect
89. #2796C22semidirect
90. #2795C22semidirect
91. #2792C22semidirect
92. #2792C22semidirect
93. #2790C22semidirect
94. #2790C22semidirect
95. #2790C22semidirect
96. #2780C22semidirect
97. #2780C22semidirect
98. #2780C22semidirect
101. #2756C22semidirect
102. #2752C22semidirect
105. #2746C22semidirect
106. #2742C22semidirect
107. #2737C22semidirect
109. #2714C22semidirect
110. #2705C22semidirect
111. #2705C22semidirect
112. #2705C22semidirect
113. #2703C22semidirect
114. #2699C22semidirect
115. #2691C22semidirect
116. #2691C22semidirect
122. #2621C22semidirect
123. #2620C22semidirect
124. #2620C22semidirect
125. #2620C22semidirect
126. #2618C22semidirect
127. #2618C22semidirect
132. #2548C22semidirect
133. #2547C22semidirect
134. #2546C22semidirect
135. #2546C22semidirect
136. #2545C22semidirect
137. #2545C22semidirect
138. #2545C22semidirect
139. #2544C22semidirect
140. #2543C22semidirect
143. #2542C22semidirect
144. #2542C22semidirect
147. #2540C22semidirect
148. #2540C22semidirect
150. #2538C22semidirect
151. #2538C22semidirect
152. #2538C22semidirect
153. #2538C22semidirect
154. #2537C22semidirect
155. #2537C22semidirect
156. #2536C22semidirect
157. #2536C22semidirect
158. #2514C22semidirect
159. #2513C22semidirect
160. #2512C22semidirect
161. #2512C22semidirect
162. #2512C22semidirect
163. #2511C22semidirect
164. #2511C22semidirect
165. #2511C22semidirect
166. #2510C22semidirect
167. #2501C22semidirect
168. #2497C22semidirect
169. #2497C22semidirect
170. #2497C22semidirect
171. #2496C22semidirect
172. #2496C22semidirect
173. #2496C22semidirect
174. #2495C22semidirect
175. #2494C22semidirect
177. #2486C22semidirect
179. #2485C22semidirect
180. #2481C22semidirect
181. #2481C22semidirect
182. #2481C22semidirect
198. #2429C22semidirect
199. #2429C22semidirect
200. #2429C22semidirect
201. #2429C22semidirect
202. #2429C22semidirect
203. #2429C22semidirect
204. #2429C22semidirect
205. #2428C22semidirect
206. #2427C22semidirect
207. #2427C22semidirect
208. #2427C22semidirect
209. #2426C22semidirect
210. #2426C22semidirect
211. #2426C22semidirect
212. #2426C22semidirect
213. #2426C22semidirect
214. #2425C22semidirect
215. #2425C22semidirect
216. #2425C22semidirect
217. #2425C22semidirect
224. #2423C22semidirect
225. #2423C22semidirect
226. #2423C22semidirect
227. #2423C22semidirect
228. #2423C22semidirect
230. #2422C22semidirect
231. #2422C22semidirect
233. #2421C22semidirect
234. #2421C22semidirect
237. #2420C22semidirect
238. #2419C22semidirect
239. #2419C22semidirect
240. #2419C22semidirect
244. #2417C22semidirect
245. #2417C22semidirect
246. #2417C22semidirect
247. #2416C22semidirect
248. #2416C22semidirect
249. #2416C22semidirect
250. #2416C22semidirect
251. #2415C22semidirect
252. #2415C22semidirect
253. #2415C22semidirect
254. #2414C22semidirect
265. #2395C22semidirect
267. C2×#398C22semidirect
270. #2383C22semidirect
271. #2377C22semidirect
274. #2317C22semidirect
275. #2316C22semidirect
280. #2311C22semidirect
282. C4×#123C22semidirect
287. #2297C22semidirect
288. #2296C22semidirect
289. C2×#391C22semidirect
290. C2×#389C22semidirect
292. C2×#387C22semidirect
293. #2285C22semidirect
294. C2×#384C22semidirect
297. #2274C22semidirect

Maximal subgroups

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

subgroupindex
#530662
#530472
#530452
#530442
#530222
#530182
#530142
#530072
#525492
#525482
#456472
#456462
#456282
#456242
#455982
#455782
#455502
#455222
#455032
#454932
#356342
#356212
#355642
#355572
#355452
#355162
#353082
#353052
#352732
#352512
#351782
#351532
#347422
#347382
C2×#24232