Finite Group Databasebeta

← #7709170

Subgroups — #7709170

Order 512.

5234 conjugacy classes of subgroups.

The subgroup lattice has 1806 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59651C212yesmaximal, complemented
2#59441C212yesmaximal, complemented
3#59227C211yesmaximal, characteristic, complemented
4#59211C211yesmaximal, characteristic, complemented
5#59052C211yesmaximal, characteristic, complemented
6#59036C211yesmaximal, characteristic, complemented
7#45745C214yesmaximal, complemented
8#45640C212yesmaximal, complemented
9#45595C212yesmaximal, complemented
10#40455C214yesmaximal, complemented
11#40094C212yesmaximal, complemented
12#40070C212yesmaximal, complemented
13#40029C212yesmaximal, complemented
14#39982C212yesmaximal, complemented
15#39734C211yesmaximal, characteristic, complemented
16#39607C211yesmaximal, characteristic, complemented
17#39470C211yesmaximal, characteristic, complemented
18#39343C211yesmaximal, characteristic, complemented
19#38611C214yesmaximal, complemented
20#37837C212yesmaximal, complemented
21#37651C212yesmaximal, complemented
22#37519C212yesmaximal, complemented
23#36928C214yesmaximal, complemented
24#36625C211yesmaximal, characteristic, complemented
25#36624C211yesmaximal, characteristic
26#36544C211yesmaximal, characteristic, complemented
27Q8×#121C211yesmaximal, characteristic, complemented
28#36208C212yesmaximal, complemented
29#36203C212yesmaximal, complemented
30#36186C211yesmaximal, characteristic, complemented
31#36176C211yesmaximal, characteristic, complemented
32#35239C212yesmaximal, complemented
33#35082C212yesmaximal, complemented
34#34412C212yesmaximal, complemented
35C2×C4×C22⋊Q8C211yesmaximal, characteristic, complemented
36C2×#554C2211yescharacteristic, complemented
37C2×#552C2212yes—
38C2×D4×Q8C2212yes—
39C2×D4×Q8C2211yescharacteristic, complemented
40C2×#536C2212yes—
41C2×#533C2211yescharacteristic
42C2×#532C2211yescharacteristic
43C2×#525C2212yes—
44C22×C22⋊Q8C2211yescharacteristic
45C22×C4×Q8C2211yescharacteristic
46C23×C42C2211yescharacteristic
47#2857C2211yescharacteristic
48#2857C2211yescharacteristic
49#2857C2211yescharacteristic
50#2857C2211yescharacteristic
51#2857C2211yescharacteristic
52#2857C2211yescharacteristic
53#2857C2212yes—
54#2856C2211yescharacteristic
55#2856C2211yescharacteristic
56#2855C2212yes—
57#2855C2212yes—
58#2854C2212yes—
59#2854C2212yes—
60#2854C2212yes—
61#2854C2211yescharacteristic
62#2854C2211yescharacteristic
63#2851C2212yes—
64#2851C2212yes—
65#2851C2212yes—
66#2850C2212yes—
67#2850C2212yes—
68#2848C2212yes—
69#2848C2212yes—
70#2847C2211yescharacteristic
71#2847C2211yescharacteristic
72#2847C2212yes—
73#2827C2214yes—
74#2827C2214yes—
75#2793C2214yescomplemented
76#2788C2214yes—
77#2781C2214yes—
78#2779C2214yes—
79#2777C2214yescomplemented
80#2773C2214yescomplemented
81#2770C2214yescomplemented
82#2768C2214yes—
83#2766C2214yescomplemented
84#2765C2214yescomplemented
85#2755C2214yescomplemented
86#2747C2214yes—
87#2745C2214yescomplemented
88#2732C2214yes—
89#2716C2214yescomplemented
90#2711C2214yes—
91#2708C2214yes—
92#2707C2214yes—
93#2704C2214yes—
94#2704C2214yes—
95#2700C2214yescomplemented
96#2695C2214yes—
97#2692C2214yes—
98#2691C2214yes—
99#2690C2214yescomplemented
100#2681C2214yes—
101#2681C2214yes—
102#2680C2214yes—
103#2677C2214yes—
104#2674C2214yes—
105#2674C2214yescomplemented
106#2672C2214yes—
107#2666C2214yescomplemented
108#2666C2214yescomplemented
109#2666C2214yescomplemented
110#2651C2214yescomplemented
111#2651C2214yescomplemented
112#2651C2214yescomplemented
113#2629C2212yes—
114#2621C2212yes—
115#2616C2212yes—
116#2616C2212yes—
117#2606C2214yescomplemented
118#2584C2212yescomplemented
119#2580C2212yescomplemented
120#2576C2214yes—
121#2572C2214yes—
122#2571C2212yescomplemented
123#2571C2211yescharacteristic, complemented
124#2570C2212yescomplemented
125#2570C2212yescomplemented
126#2567C2211yescharacteristic, complemented
127#2563C2211yescharacteristic, complemented
128#2562C2212yes—
129#2560C2214yescomplemented
130#2558C2214yescomplemented
131#2552C2212yescomplemented
132#2552C2211yescharacteristic, complemented
133#2552C2212yescomplemented
134#2551C2212yescomplemented
135#2550C2214yescomplemented
136#2550C2212yescomplemented
137#2550C2212yescomplemented
138#2546C2212yescomplemented
139#2546C2211yescharacteristic, complemented
140#2542C2212yes—
141#2542C2211yescharacteristic, complemented
142#2538C2212yes—
143#2538C2211yescharacteristic, complemented
144#2538C2212yescomplemented
145#2538C2211yescharacteristic, complemented
146#2536C2212yes—
147#2534C2214yes—
148#2532C2214yescomplemented
149#2529C2214yescomplemented
150#2526C2214yes—
151#2525C2214yescomplemented
152#2519C2214yescomplemented
153#2518C2214yes—
154#2518C2214yes—
155#2516C2214yes—
156#2514C2212yescomplemented
157#2513C2212yescomplemented
158#2513C2212yescomplemented
159#2513C2212yescomplemented
160#2512C2212yescomplemented
161#2510C2214yes—
162#2508C2212yescomplemented
163#2507C2212yescomplemented
164#2507C2212yescomplemented
165#2506C2212yescomplemented
166#2506C2212yescomplemented
167#2500C2212yes—
168#2500C2212yes—
169#2498C2214yes—
170#2497C2212yes—
171#2497C2212yes—
172#2495C2212yes—
173#2495C2212yescomplemented
174#2495C2212yescomplemented
175#2494C2212yes—
176#2491C2212yes—
177#2490C2212yes—
178#2489C2212yescomplemented
179#2489C2212yescomplemented
180#2488C2214yes—
181#2488C2214yes—
182#2486C2212yes—
183#2486C2212yescomplemented
184#2485C2212yes—
185#2472C2214yes—
186#2465C2214yescomplemented
187#2465C2214yescomplemented
188#2454C2212yescomplemented
189#2454C2212yescomplemented
190#2453C2212yescomplemented
191#2449C2214yes—
192#2446C2212yescomplemented
193#2445C2212yescomplemented
194#2445C2212yescomplemented
195#2443C2214yes—
196#2443C2214yes—
197#2442C2214yes—
198#2441C2212yes—
199#2440C2214yes—
200#2439C2212yes—
201#2438C2214yes—
202#2438C2214yes—
203#2429C2212yescomplemented
204#2429C2214yescomplemented
205#2429C2212yescomplemented
206#2425C2214yes—
207#2425C2214yes—
208#2423C2214yescomplemented
209#2423C2212yescomplemented
210#2423C2212yescomplemented
211#2422C2212yes—
212#2420C2212yes—
213#2418C2214yes—
214#2417C2212yes—
215#2417C2212yes—
216#2417C2212yes—
217#2417C2214yes—
218#2415C2212yes—
219#2415C2212yescomplemented
220#2415C2212yescomplemented
221#2411C2214yes—
222#2409C2212yes—
223#2409C2212yes—
224#2409C2212yescomplemented
225#2379C2214yes—
226#2376C2214yes—
227#2374C2214yes—
228#2372C2214yes—
229#2369C2211yescharacteristic, complemented
230#2365C2211yescharacteristic, complemented
231#2363C2212yes—
232#2363C2212yes—
233#2362C2212yescomplemented
234#2362C2212yescomplemented
235#2360C2212yescomplemented
236#2360C2212yescomplemented
237#2359C2214yes—
238#2355C2211yescharacteristic, complemented
239#2354C2211yescharacteristic, complemented
240#2354C2211yescharacteristic, complemented
241#2353C2214yes—
242#2352C2212yes—
243Q8×C4⋊C4C2211yescharacteristic, complemented
244D4×C4⋊C4C2212yes—
245#2347C2212yes—
246#2346C2212yes—
247#2346C2212yescomplemented
248#2346C2212yescomplemented
249Q8×C22⋊C4C2212yescomplemented
250Q8×C22⋊C4C2212yescomplemented
251#2335C2214yescomplemented
252#2335C2214yescomplemented
253#2335C2214yescomplemented
254#2331C2214yescomplemented
255#2331C2214yescomplemented
256#2330C2214yescomplemented
257#2323C2212yes—
258#2323C2212yes—
259#2311C2212yes—
260C4×C22⋊Q8C2212yes—
261C4×C22⋊Q8C2212yes—
262C4×C22⋊Q8C2212yes—
263C4×C22⋊Q8C2212yes—
264C4×C22⋊Q8C2212yes—
265C4×C22⋊Q8C2212yes—
266C4×C22⋊Q8C2211yescharacteristic
267C4×C22⋊Q8C2212yes—
268C4×C22⋊Q8C2212yes—
269C4×C22⋊Q8C2211yescharacteristic
270C4×C22⋊Q8C2211yescharacteristic
271C4×C22⋊Q8C2211yescharacteristic
272C4×C22⋊Q8C2211yescharacteristic
273C4×C22⋊Q8C2211yescharacteristic
274C4×C22⋊Q8C2211yescharacteristic
275C4×C22⋊Q8C2211yescharacteristic
276C4×#121C2212yes—
277C4×#121C2212yes—
278C4×#121C2212yes—
279C4×#121C2211yescharacteristic
280C4×#121C2211yescharacteristic
281C4×#121C2211yescharacteristic
282C4×#121C2211yescharacteristic
283C4×#121C2212yes—
284#2297C2212yes—
285#2296C2212yes—
286C2×#391C2211yescharacteristic
287C2×#389C2211yescharacteristic
288C2×#387C2212yes—
289C2×#385C2212yes—
290#2285C2211yescharacteristic
291#2285C2211yescharacteristic
292#2285C2212yes—
293#2283C2212yes—
294#2280C2212yes—
295C2×#380C2211yescharacteristic
296C2×C4×C4⋊C4C2212yes—
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C22⋊C4C2212yes—
299C22×#41C2312yes—
300C23×Q8C2311yescharacteristic
301C23×Q8C2312yes—
302C24×C4C2311yescharacteristic
303C24×C4C2311yescharacteristic
304C24×C4C2311yescharacteristic
305#554—44no—
306#552—48no—
307D4×Q8—44no—
308D4×Q8—48no—
309#536—216no—
310#533—44no—
311#532—44no—
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2314yes—
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2311yescharacteristic
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2312yes—
318C2×C4⋊Q8C2314yes—
319C2×#127C2311yescharacteristic
320C2×#126C2314yes—
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#125C2314yes—
324C2×#125C2312yes—
325C2×#125C2314yes—
326C2×#124C2314yes—
327C2×#124C2312yes—
328#525—48no—
329C2×#123C2314yes—
330C2×#123C2314yes—
331C2×#123C2314yes—
332C2×#123C2312yes—
333C2×#123C2312yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×C22⋊Q8—28no—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2311yescharacteristic
342C2×C22⋊Q8C2311yescharacteristic
343C2×C22⋊Q8C2311yescharacteristic
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2314yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2314yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2314yes—
359C2×C22⋊Q8C2314yes—
360C2×C22⋊Q8C2311yescharacteristic
361C2×#121C2311yescharacteristic
362C2×#121C2311yescharacteristic
363C2×#121C2311yescharacteristic
364C2×#121C2311yescharacteristic
365C2×#121C2312yes—
366C2×#121C2311yescharacteristic
367C2×#121C2311yescharacteristic
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#120C2312yes—
373C2×#120C2312yes—
374C2×C4×Q8—44no—
375C2×C4×Q8C2311yescharacteristic
376C2×C4×Q8C2311yescharacteristic
377C2×C4×Q8C2312yes—
378C2×C4×Q8C2312yes—
379C2×C4×Q8C2312yes—
380C2×C4×Q8C2311yescharacteristic
381C2×C4×Q8C2312yes—
382C2×C4×Q8C2311yescharacteristic
383C2×C4×Q8C2312yes—
384C2×C4×Q8C2312yes—
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2311yescharacteristic
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2314yes—
392C2×C4×D4C2314yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×#117C2312yes—
397C2×#117C2312yes—
398C2×#117C2312yes—
399C2×#117C2312yes—
400C2×#117C2314yes—
401C2×#117C2312yes—
402C22×C4⋊C4C2311yescharacteristic
403C22×C4⋊C4C2312yes—
404C22×C4⋊C4C2311yescharacteristic
405C22×C4⋊C4C2312yes—
406C22×C4⋊C4C2311yescharacteristic
407C22×C4⋊C4C2312yes—
408C22×C4⋊C4C2312yes—
409C22×C22⋊C4C2312yes—
410C22×C22⋊C4C2312yes—
411C22×C42—44no—
412C22×C42C2312yes—
413C22×C42C2311yescharacteristic
414C22×C42C2311yescharacteristic
415C22×C42C2311yescharacteristic
416C22×C42C2311yescharacteristic
417C22×C42C2311yescharacteristic
418C22×C42C2311yescharacteristic
419C22×C42C2311yescharacteristic
420C22×C42C2312yes—
421C22×C42C2311yescharacteristic
422C22×C42C2311yescharacteristic
423C22×C42C2311yescharacteristic
424C22×C42C2311yescharacteristic
425C22×C42C2311yescharacteristic
426#401C2314yes—
427#400C2314yes—
428#400C2314yes—
429#400C2314yes—
430#400C2314yes—
431#400C2314yes—
432#400C2314yes—
433#400C2314yes—
434#400C2314yes—
435#400C2314yes—
436#400C2314yes—
437#399C2314yes—
438#399C2314yes—
439#399C2314yes—
440#399C2314yes—
441#399C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2314yes—
458#398C2314yes—
459#398C2314yes—
460#398C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#395C2314yes—
485#395C2314yes—
486#395C2314yes—
487#395C2314yes—
488#395C2314yes—
489#395C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#393C2314yes—
503#393C2314yes—
504#393C2314yes—
505#393C2314yes—
506#391C2312yes—
507#391C2314yes—
508#391C2312yes—
509#391C2314yes—
510#391C2312yes—
511#391C2312yes—
512#391C2312yes—
513#391C2314yes—
514#391C2314yes—
515#391C2314yes—
516#391C2311yescharacteristic
517#391C2312yes—
518#391C2312yes—
519#391C2312yes—
520#391C2312yes—
521#391C2312yes—
522#391C2312yes—
523#391C2314yes—
524#391C2311yescharacteristic
525#391C2311yescharacteristic
526#391C2311yescharacteristic
527#391C2312yes—
528#390C2312yes—
529#390C2312yes—
530#390C2314yes—
531#390C2311yescharacteristic
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2312yes—
536#390C2311yescharacteristic
537#390C2311yescharacteristic
538#390C2311yescharacteristic
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2314yes—
543#390C2314yes—
544#390C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2311yescharacteristic
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2311yescharacteristic
552#389C2312yes—
553#389C2314yes—
554#389C2312yes—
555#389C2312yes—
556#389C2314yes—
557#389C2314yes—
558#389C2312yes—
559#389C2312yes—
560#389C2311yescharacteristic
561#389C2314yes—
562#389C2314yes—
563#389C2312yes—
564#389C2314yes—
565#389C2314yes—
566#389C2314yes—
567#389C2314yes—
568#389C2314yes—
569#389C2314yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2311yescharacteristic
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2311yescharacteristic
582#389C2312yes—
583#389C2314yes—
584#389C2312yes—
585#389C2314yes—
586#389C2312yes—
587#389C2311yescharacteristic
588#389C2311yescharacteristic
589#389C2312yes—
590#389C2311yescharacteristic
591#389C2312yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2312yes—
613#388C2312yes—
614#388C2312yes—
615#388C2312yes—
616#388C2312yes—
617#388C2312yes—
618#388C2312yes—
619#388C2312yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2312yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2312yes—
654#387C2312yes—
655#387C2312yes—
656#387C2312yes—
657#387C2312yes—
658#387C2312yes—
659#387C2312yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2312yes—
664#386C2312yes—
665#386C2312yes—
666#386C2314yes—
667#386C2312yes—
668#386C2314yes—
669#386C2312yes—
670#386C2312yes—
671#386C2312yes—
672#386C2312yes—
673#386C2312yes—
674#386C2312yes—
675#386C2312yes—
676#386C2312yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#385C2312yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2312yes—
696#385C2312yes—
697#385C2312yes—
698#385C2312yes—
699#385C2312yes—
700#385C2312yes—
701#385C2312yes—
702#384C2312yes—
703#384C2311yescharacteristic
704#384C2312yes—
705#384C2311yescharacteristic
706#384C2312yes—
707#384C2314yes—
708#384C2311yescharacteristic
709#384C2311yescharacteristic
710#384C2312yes—
711#383C2314yes—
712#383C2314yes—
713#383C2314yes—
714#382C2312yes—
715#382C2312yes—
716#382C2312yes—
717#382C2312yes—
718#382C2314yes—
719#382C2312yes—
720#382C2314yes—
721#382C2314yes—
722#382C2312yes—
723#382C2314yes—
724#381C2314yes—
725#381C2314yes—
726#381C2314yes—
727#380C2311yescharacteristic
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2311yescharacteristic
734#380C2312yes—
735#380C2314yes—
736#380C2314yes—
737#380C2314yes—
738#380C2311yescharacteristic
739#380C2312yes—
740#380C2311yescharacteristic
741#380C2311yescharacteristic
742#380C2311yescharacteristic
743#380C2311yescharacteristic
744#380C2311yescharacteristic
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2314yes—
756#380C2312yes—
757#380C2312yes—
758#380C2311yescharacteristic
759#380C2314yes—
760#380C2312yes—
761#380C2312yes—
762#380C2311yescharacteristic
763#379C2314yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2314yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2314yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814#376C2314yes—
815#376C2314yes—
816C2×#95C2312yes—
817C2×#95C2312yes—
818C2×#95C2312yes—
819C2×#95C2312yes—
820C2×#95C2312yes—
821C25C2411yescharacteristic
822C2×#41—28no—
823C2×#41—44no—
824C2×#41—44no—
825C22×Q8—24no—
826C22×Q8—28no—
827C22×Q8—24no—
828C22×Q8—42no—
829C22×Q8—44no—
830C22×Q8—44no—
831C22×Q8C2411yescharacteristic
832C22×Q8C2412yes—
833C22×Q8C2412yes—
834C22×Q8C2411yescharacteristic
835C22×Q8C2412yes—
836C22×Q8C2414yes—
837C22×Q8C2412yes—
838C22×D4C2412yes—
839C22×D4C2412yes—
840C22×D4C2411yescharacteristic
841C22×D4C2411yescharacteristic
842C22×D4C2412yes—
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2412yes—
846C22×D4C2412yes—
847C22×D4C2412yes—
848C23×C4—24no—
849C23×C4—24no—
850C23×C4—24no—
851C23×C4—24no—
852C23×C4—42no—
853C23×C4—42no—
854C23×C4—42no—
855C23×C4—42no—
856C23×C4—42no—
857C23×C4C2412yes—
858C23×C4C2412yes—
859C23×C4C2412yes—
860C23×C4C2411yescharacteristic
861C23×C4C2411yescharacteristic
862C23×C4C2412yes—
863C23×C4C2412yes—
864C23×C4C2411yescharacteristic
865C23×C4C2411yescharacteristic
866C23×C4C2411yescharacteristic
867C23×C4C2411yescharacteristic
868C23×C4C2411yescharacteristic
869C23×C4C2411yescharacteristic
870C23×C4C2411yescharacteristic
871C23×C4C2411yescharacteristic
872C23×C4C2411yescharacteristic
873C23×C4C2411yescharacteristic
874C23×C4C2411yescharacteristic
875C23×C4C2411yescharacteristic
876C23×C4C2411yescharacteristic
877C23×C4C2412yes—
878C23×C4C2414yes—
879C23×C4C2411yescharacteristic
880C23×C4C2411yescharacteristic
881C23×C4C2414yes—
882C23×C4C2411yescharacteristic
883C4⋊Q8—216no—
884C4⋊Q8—24no—
885C4⋊Q8—24no—
886C4⋊Q8—42no—
887C4⋊Q8—44no—
888C4⋊Q8—44no—
889C4⋊Q8—48no—
890#127—42no—
891#126—48no—
892#125—44no—
893#125—44no—
894#125—44no—
895#125—48no—
896#125—48no—
897#124—216no—
898#124—44no—
899#123—216no—
900#123—216no—
901#123—44no—
902#123—44no—
903#123—48no—
904#123—48no—
905#123—48no—
906C22⋊Q8—24no—
907C22⋊Q8—28no—
908C22⋊Q8—24no—
909C22⋊Q8—28no—
910C22⋊Q8—28no—
911C22⋊Q8—24no—
912C22⋊Q8—28no—
913C22⋊Q8—28no—
914C22⋊Q8—28no—
915C22⋊Q8—44no—
916C22⋊Q8—44no—
917C22⋊Q8—48no—
918C22⋊Q8—48no—
919C22⋊Q8—48no—
920C22⋊Q8—48no—
921C22⋊Q8—44no—
922C22⋊Q8—44no—
923C22⋊Q8—44no—
924C22⋊Q8—44no—
925C22⋊Q8—44no—
926C22⋊Q8—44no—
927C22⋊Q8—44no—
928C22⋊Q8—44no—
929C22⋊Q8#4118yes—
930#121—24no—
931#121—24no—
932#121—24no—
933#121—24no—
934#121—44no—
935#121—44no—
936#121—44no—
937#121—42no—
938#121—42no—
939#121—44no—
940#121—44no—
941#120—44no—
942#120—44no—
943C4×Q8—24no—
944C4×Q8—24no—
945C4×Q8—44no—
946C4×Q8—44no—
947C4×Q8—42no—
948C4×Q8—42no—
949C4×Q8—44no—
950C4×Q8—44no—
951C4×Q8—44no—
952C4×Q8—44no—
953C4×D4—28no—
954C4×D4—28no—
955C4×D4—24no—
956C4×D4—24no—
957C4×D4—44no—
958C4×D4—44no—
959C4×D4—44no—
960C4×D4—44no—
961C4×D4—44no—
962C4×D4—48no—
963C4×D4—48no—
964#117—28no—
965#117—28no—
966#117—44no—
967#117—48no—
968#117—44no—
969#117—44no—
970C2×C4⋊C4—24no—
971C2×C4⋊C4—24no—
972C2×C4⋊C4—28no—
973C2×C4⋊C4—44no—
974C2×C4⋊C4—42no—
975C2×C4⋊C4—44no—
976C2×C4⋊C4—44no—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2411yescharacteristic
1047C2×C4⋊C4C2412yes—
1048C2×C22⋊C4—28no—
1049C2×C22⋊C4—44no—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2412yes—
1100C2×C42—28no—
1101C2×C42—24no—
1102C2×C42—24no—
1103C2×C42—24no—
1104C2×C42—44no—
1105C2×C42—42no—
1106C2×C42—42no—
1107C2×C42—42no—
1108C2×C42—42no—
1109C2×C42—42no—
1110C2×C42—42no—
1111C2×C42—42no—
1112C2×C42—42no—
1113C2×C42—42no—
1114C2×C42C2412yes—
1115C2×C42C2412yes—
1116C2×C42C2414yes—
1117C2×C42C2414yes—
1118C2×C42C2411yescharacteristic
1119C2×C42C2412yes—
1120C2×C42C2412yes—
1121C2×C42C2411yescharacteristic
1122C2×C42C2411yescharacteristic
1123C2×C42C2411yescharacteristic
1124C2×C42C2411yescharacteristic
1125C2×C42C2411yescharacteristic
1126C2×C42C2411yescharacteristic
1127C2×C42C2411yescharacteristic
1128C2×C42C2411yescharacteristic
1129C2×C42C2412yes—
1130C2×C42C2412yes—
1131C2×C42C2412yes—
1132C2×C42C2412yes—
1133C2×C42C2414yes—
1134C2×C42C2414yes—
1135C2×C42C2414yes—
1136C2×C42C2414yes—
1137C2×C42C2414yes—
1138C2×C42C2412yes—
1139C2×C42C2412yes—
1140C2×C42C2414yes—
1141C2×C42C2411yescharacteristic
1142C2×C42C2411yescharacteristic
1143C2×C42C2411yescharacteristic
1144C2×C42C2411yescharacteristic
1145C2×C42C2411yescharacteristic
1146C2×C42C2411yescharacteristic
1147C2×C42C2411yescharacteristic
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2412yes—
1195#95C2414yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2414yes—
1212C24—22no—
1213C24—22no—
1214C24—22no—
1215C24—22no—
1216C24—22no—
1217C24—41no—
1218C24—41no—
1219C24C2512yes—
1220C24C2512yes—
1221C24C2511yescharacteristic
1222C24C2511yescharacteristic
1223C24C2511yescharacteristic
1224#41—816no—
1225C2×Q8—24no—
1226C2×Q8—22no—
1227C2×Q8—24no—
1228C2×Q8—28no—
1229C2×Q8—24no—
1230C2×Q8—22no—
1231C2×Q8—22no—
1232C2×Q8—22no—
1233C2×Q8—24no—
1234C2×Q8—24no—
1235C2×Q8—24no—
1236C2×Q8—22no—
1237C2×Q8—24no—
1238C2×Q8—42no—
1239C2×Q8—42no—
1240C2×Q8—44no—
1241C2×Q8—44no—
1242C2×Q8—42no—
1243C2×Q8—42no—
1244C2×Q8—42no—
1245C2×Q8—416no—
1246C2×Q8—816no—
1247C2×Q8C2×#4114yes—
1248C2×D4—24no—
1249C2×D4—24no—
1250C2×D4—24no—
1251C2×D4—24no—
1252C2×D4—24no—
1253C2×D4—24no—
1254C2×D4—24no—
1255C2×D4—24no—
1256C2×D4—24no—
1257C2×D4—24no—
1258C2×D4—24no—
1259C2×D4—22no—
1260C2×D4—22no—
1261C2×D4—22no—
1262C2×D4—22no—
1263C2×D4—22no—
1264C2×D4—22no—
1265C2×D4—24no—
1266C2×D4—42no—
1267C2×D4—42no—
1268C2×D4—42no—
1269C2×D4—42no—
1270C2×D4—42no—
1271C2×D4—42no—
1272C2×D4—42no—
1273C2×D4—42no—
1274C2×D4—42no—
1275C2×D4—42no—
1276C2×D4—42no—
1277C2×D4—42no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—24no—
1288C22×C4—24no—
1289C22×C4—22no—
1290C22×C4—24no—
1291C22×C4—24no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—24no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—24no—
1298C22×C4—24no—
1299C22×C4—24no—
1300C22×C4—22no—
1301C22×C4—24no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—24no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—24no—
1311C22×C4—24no—
1312C22×C4—24no—
1313C22×C4—24no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—22no—
1319C22×C4—22no—
1320C22×C4—22no—
1321C22×C4—22no—
1322C22×C4—22no—
1323C22×C4—22no—
1324C22×C4—22no—
1325C22×C4—22no—
1326C22×C4—28no—
1327C22×C4—41no—
1328C22×C4—41no—
1329C22×C4—41no—
1330C22×C4—41no—
1331C22×C4—41no—
1332C22×C4—41no—
1333C22×C4—41no—
1334C22×C4—41no—
1335C22×C4—41no—
1336C22×C4—42no—
1337C22×C4—42no—
1338C22×C4—41no—
1339C22×C4—41no—
1340C22×C4—41no—
1341C22×C4—41no—
1342C22×C4—41no—
1343C22×C4—41no—
1344C22×C4—41no—
1345C22×C4—416no—
1346C22×C4—416no—
1347C22×C4—42no—
1348C22×C4—42no—
1349C22×C4—44no—
1350C22×C4—44no—
1351C22×C4—44no—
1352C22×C4—44no—
1353C22×C4—44no—
1354C22×C4—416no—
1355C22×C4C2×#4114yes—
1356C22×C4H(5,𝔽2)14yes—
1357C22×C42−1+414yes—
1358C22×C42−1+414yes—
1359C22×C4C2511yescharacteristic
1360C22×C4C2512yes—
1361C22×C4C2514yes—
1362C22×C4C2512yes—
1363C22×C4C2511yescharacteristic
1364C22×C4C2511yescharacteristic
1365C22×C4C2512yes—
1366C22×C4C2512yes—
1367C22×C4C2512yes—
1368C22×C4C2512yes—
1369C22×C4C2512yes—
1370C22×C4C2512yes—
1371C22×C4C2512yes—
1372C22×C4C2514yes—
1373C22×C4C2514yes—
1374C22×C4C2511yescharacteristic
1375C22×C4C2512yes—
1376C22×C4C2512yes—
1377C22×C4C2514yes—
1378C22×C4C2512yes—
1379C22×C4C2512yes—
1380C22×C4C2512yes—
1381C22×C4C2511yescharacteristic
1382C22×C4C2511yescharacteristic
1383C22×C4C2511yescharacteristic
1384C22×C4C2511yescharacteristic
1385C22×C4C2511yescharacteristic
1386C22×C4C2511yescharacteristic
1387C22×C4C2511yescharacteristic
1388C22×C4C2511yescharacteristic
1389C4⋊C4—24no—
1390C4⋊C4—22no—
1391C4⋊C4—24no—
1392C4⋊C4—24no—
1393C4⋊C4—24no—
1394C4⋊C4—24no—
1395C4⋊C4—28no—
1396C4⋊C4—28no—
1397C4⋊C4—28no—
1398C4⋊C4—22no—
1399C4⋊C4—22no—
1400C4⋊C4—24no—
1401C4⋊C4—22no—
1402C4⋊C4—24no—
1403C4⋊C4—22no—
1404C4⋊C4—24no—
1405C4⋊C4—24no—
1406C4⋊C4—24no—
1407C4⋊C4—24no—
1408C4⋊C4—24no—
1409C4⋊C4—22no—
1410C4⋊C4—22no—
1411C4⋊C4—24no—
1412C4⋊C4—24no—
1413C4⋊C4—24no—
1414C4⋊C4—28no—
1415C4⋊C4—24no—
1416C4⋊C4—24no—
1417C4⋊C4—22no—
1418C4⋊C4—22no—
1419C4⋊C4—22no—
1420C4⋊C4—22no—
1421C4⋊C4—24no—
1422C4⋊C4—24no—
1423C4⋊C4—24no—
1424C4⋊C4—28no—
1425C4⋊C4—42no—
1426C4⋊C4—42no—
1427C4⋊C4—42no—
1428C4⋊C4—42no—
1429C4⋊C4—42no—
1430C4⋊C4—44no—
1431C4⋊C4—42no—
1432C4⋊C4—42no—
1433C4⋊C4—44no—
1434C4⋊C4—44no—
1435C4⋊C4—44no—
1436C4⋊C4—42no—
1437C4⋊C4—42no—
1438C4⋊C4—42no—
1439C4⋊C4—44no—
1440C4⋊C4—44no—
1441C4⋊C4—44no—
1442C4⋊C4—44no—
1443C4⋊C4—44no—
1444C4⋊C4—42no—
1445C4⋊C4—42no—
1446C4⋊C4—42no—
1447C4⋊C4—44no—
1448C4⋊C4—44no—
1449C4⋊C4—44no—
1450C4⋊C4—44no—
1451C4⋊C4—44no—
1452C4⋊C4—44no—
1453C4⋊C4—44no—
1454C4⋊C4—44no—
1455C4⋊C4—44no—
1456C4⋊C4—44no—
1457C4⋊C4—44no—
1458C4⋊C4C2×#4114yes—
1459C4⋊C4C2×#4118yes—
1460C22⋊C4—24no—
1461C22⋊C4—28no—
1462C22⋊C4—24no—
1463C22⋊C4—28no—
1464C22⋊C4—24no—
1465C22⋊C4—28no—
1466C22⋊C4—28no—
1467C22⋊C4—24no—
1468C22⋊C4—24no—
1469C22⋊C4—28no—
1470C22⋊C4—28no—
1471C22⋊C4—28no—
1472C22⋊C4—24no—
1473C22⋊C4—24no—
1474C22⋊C4—24no—
1475C22⋊C4—24no—
1476C22⋊C4—24no—
1477C22⋊C4—24no—
1478C22⋊C4—24no—
1479C22⋊C4—24no—
1480C22⋊C4—42no—
1481C22⋊C4—42no—
1482C22⋊C4—42no—
1483C22⋊C4—42no—
1484C22⋊C4—42no—
1485C22⋊C4—42no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—42no—
1490C22⋊C4—42no—
1491C22⋊C4—42no—
1492C22⋊C4—42no—
1493C22⋊C4—42no—
1494C22⋊C4—42no—
1495C22⋊C4—44no—
1496C22⋊C4—44no—
1497C22⋊C4—44no—
1498C22⋊C4—42no—
1499C22⋊C4—42no—
1500C22⋊C4—42no—
1501C22⋊C4—42no—
1502C22⋊C4—44no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—44no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—44no—
1509C22⋊C4C2×#4118yes—
1510C42—28no—
1511C42—22no—
1512C42—22no—
1513C42—22no—
1514C42—22no—
1515C42—22no—
1516C42—22no—
1517C42—22no—
1518C42—22no—
1519C42—22no—
1520C42—24no—
1521C42—24no—
1522C42—24no—
1523C42—24no—
1524C42—24no—
1525C42—24no—
1526C42—24no—
1527C42—24no—
1528C42—28no—
1529C42—41no—
1530C42—41no—
1531C42—41no—
1532C42—41no—
1533C42—41no—
1534C42—41no—
1535C42—42no—
1536C42—42no—
1537C42—44no—
1538C42—44no—
1539C42—44no—
1540C42—44no—
1541C42—44no—
1542C42—44no—
1543C42H(5,𝔽2)14yes—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—28no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—22no—
1562C23—22no—
1563C23—22no—
1564C23—22no—
1565C23—22no—
1566C23—22no—
1567C23—22no—
1568C23—22no—
1569C23—22no—
1570C23—22no—
1571C23—22no—
1572C23—22no—
1573C23—22no—
1574C23—22no—
1575C23—44no—
1576C23—44no—
1577C23—44no—
1578C23—44no—
1579C23—44no—
1580C23—44no—
1581C23C22×#4112yes—
1582C23C2×H(5,𝔽2)12yes—
1583C23C2×2−1+412yes—
1584C23C2×2−1+412yes—
1585C23#58512yes—
1586C23C2611yescharacteristic
1587Q8—28no—
1588Q8—48no—
1589Q8—44no—
1590Q8—48no—
1591Q8—84no—
1592Q8—88no—
1593Q8—84no—
1594D4—48no—
1595D4—48no—
1596D4—44no—
1597D4—44no—
1598D4—84no—
1599D4—84no—
1600D4—84no—
1601D4—84no—
1602D4—84no—
1603D4—84no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—21no—
1613C2×C4—22no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—22no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—28no—
1621C2×C4—28no—
1622C2×C4—28no—
1623C2×C4—28no—
1624C2×C4—22no—
1625C2×C4—24no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—24no—
1629C2×C4—21no—
1630C2×C4—22no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—24no—
1644C2×C4—22no—
1645C2×C4—24no—
1646C2×C4—24no—
1647C2×C4—24no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—21no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—24no—
1658C2×C4—24no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—24no—
1669C2×C4—24no—
1670C2×C4—24no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—24no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—44no—
1685C2×C4—44no—
1686C2×C4—44no—
1687C2×C4—48no—
1688C2×C4—44no—
1689C2×C4—44no—
1690C2×C4—44no—
1691C2×C4—44no—
1692C2×C4—44no—
1693C2×C4—44no—
1694C2×C4—48no—
1695C2×C4—44no—
1696C2×C4—44no—
1697C2×C4—44no—
1698C2×C4—48no—
1699C2×C4—44no—
1700C2×C4—48no—
1701C2×C4—48no—
1702C2×C4—44no—
1703C2×C4—88no—
1704C2×C4—84no—
1705C2×C4—164no—
1706C2×C4C22×#4114yes—
1707C2×C4C22×#4114yes—
1708C2×C4C22×#4112yes—
1709C2×C4C22×#4112yes—
1710C2×C4C2×H(5,𝔽2)12yes—
1711C2×C4C2×H(5,𝔽2)12yes—
1712C2×C4C2×H(5,𝔽2)12yes—
1713C2×C4C2×H(5,𝔽2)12yes—
1714C2×C4C2×H(5,𝔽2)12yes—
1715C2×C4C2×2−1+412yes—
1716C2×C4C2×2−1+412yes—
1717C2×C4C2×2−1+412yes—
1718C2×C4C2×2−1+412yes—
1719C2×C4#58512yes—
1720C22—22no—
1721C22—22no—
1722C22—22no—
1723C22—22no—
1724C22—22no—
1725C22—22no—
1726C22—22no—
1727C22—22no—
1728C22—22no—
1729C22—22no—
1730C22—22no—
1731C22—22no—
1732C22—416no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—42no—
1742C22—42no—
1743C22—42no—
1744C22—42no—
1745C22—42no—
1746C22—42no—
1747C22—42no—
1748C22—42no—
1749C22—42no—
1750C22—42no—
1751C22—42no—
1752C22—42no—
1753C22—42no—
1754C22—42no—
1755C22#354714yes—
1756C22C23×#4111yescharacteristic
1757C22C22×H(5,𝔽2)11yescharacteristic
1758C22C22×H(5,𝔽2)11yescharacteristic
1759C22C22×2−1+411yescharacteristic
1760C22C22×2−1+411yescharacteristic
1761C22C2×#58511yescharacteristic
1762C22C2×#58511yescharacteristic
1763C4—22no—
1764C4—22no—
1765C4—22no—
1766C4—22no—
1767C4—24no—
1768C4—24no—
1769C4—22no—
1770C4—22no—
1771C4—41no—
1772C4—42no—
1773C4—42no—
1774C4—42no—
1775C4—42no—
1776C4—41no—
1777C4—42no—
1778C4—42no—
1779C4—42no—
1780C4—44no—
1781C4—44no—
1782C4—42no—
1783C4—41no—
1784C4—41no—
1785C4—42no—
1786C4—42no—
1787C4—44no—
1788C4—44no—
1789C4—42no—
1790C4—42no—
1791C4#351914yes—
1792C4#353814yes—
1793C2—24no—
1794C2—42no—
1795C2—42no—
1796C2—82no—
1797C2—82no—
1798C2C2×#353811yescharacteristic
1799C2C2×#354711yescharacteristic
1800C2C2×#351911yescharacteristic
1801C2#6278811yescharacteristic
1802C2#6280511yescharacteristic
1803C2#6282111yescharacteristic
1804C2#6283511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#36624C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59651C2semidirect
2. #59441C2semidirect
3. #59227C2semidirect
4. #59211C2semidirect
5. #59052C2semidirect
6. #59036C2semidirect
7. #45745C2semidirect
8. #45640C2semidirect
9. #45595C2semidirect
10. #40455C2semidirect
11. #40094C2semidirect
12. #40070C2semidirect
13. #40029C2semidirect
14. #39982C2semidirect
15. #39734C2semidirect
16. #39607C2semidirect
17. #39470C2semidirect
18. #39343C2semidirect
19. #38611C2semidirect
20. #37837C2semidirect
21. #37651C2semidirect
22. #37519C2semidirect
23. #36928C2semidirect
24. #36625C2semidirect
26. #36544C2semidirect
27. Q8×#121C2semidirect
28. #36208C2semidirect
29. #36203C2semidirect
30. #36186C2semidirect
31. #36176C2semidirect
32. #35239C2semidirect
33. #35082C2semidirect
34. #34412C2semidirect
35. C2×C4×C22⋊Q8C2semidirect
36. C2×#554C22semidirect
39. C2×D4×Q8C22semidirect
75. #2793C22semidirect
79. #2777C22semidirect
80. #2773C22semidirect
81. #2770C22semidirect
83. #2766C22semidirect
84. #2765C22semidirect
85. #2755C22semidirect
87. #2745C22semidirect
89. #2716C22semidirect
95. #2700C22semidirect
99. #2690C22semidirect
105. #2674C22semidirect
107. #2666C22semidirect
108. #2666C22semidirect
109. #2666C22semidirect
110. #2651C22semidirect
111. #2651C22semidirect
112. #2651C22semidirect
117. #2606C22semidirect
118. #2584C22semidirect
119. #2580C22semidirect
122. #2571C22semidirect
123. #2571C22semidirect
124. #2570C22semidirect
125. #2570C22semidirect
126. #2567C22semidirect
127. #2563C22semidirect
129. #2560C22semidirect
130. #2558C22semidirect
131. #2552C22semidirect
132. #2552C22semidirect
133. #2552C22semidirect
134. #2551C22semidirect
135. #2550C22semidirect
136. #2550C22semidirect
137. #2550C22semidirect
138. #2546C22semidirect
139. #2546C22semidirect
141. #2542C22semidirect
143. #2538C22semidirect
144. #2538C22semidirect
145. #2538C22semidirect
148. #2532C22semidirect
149. #2529C22semidirect
151. #2525C22semidirect
152. #2519C22semidirect
156. #2514C22semidirect
157. #2513C22semidirect
158. #2513C22semidirect
159. #2513C22semidirect
160. #2512C22semidirect
162. #2508C22semidirect
163. #2507C22semidirect
164. #2507C22semidirect
165. #2506C22semidirect
166. #2506C22semidirect
173. #2495C22semidirect
174. #2495C22semidirect
178. #2489C22semidirect
179. #2489C22semidirect
183. #2486C22semidirect
186. #2465C22semidirect
187. #2465C22semidirect
188. #2454C22semidirect
189. #2454C22semidirect
190. #2453C22semidirect
192. #2446C22semidirect
193. #2445C22semidirect
194. #2445C22semidirect
203. #2429C22semidirect
204. #2429C22semidirect
205. #2429C22semidirect
208. #2423C22semidirect
209. #2423C22semidirect
210. #2423C22semidirect
219. #2415C22semidirect
220. #2415C22semidirect
224. #2409C22semidirect
229. #2369C22semidirect
230. #2365C22semidirect
233. #2362C22semidirect
234. #2362C22semidirect
235. #2360C22semidirect
236. #2360C22semidirect
238. #2355C22semidirect
239. #2354C22semidirect
240. #2354C22semidirect
243. Q8×C4⋊C4C22semidirect
247. #2346C22semidirect
248. #2346C22semidirect
249. Q8×C22⋊C4C22semidirect
250. Q8×C22⋊C4C22semidirect
251. #2335C22semidirect
252. #2335C22semidirect
253. #2335C22semidirect
254. #2331C22semidirect
255. #2331C22semidirect
256. #2330C22semidirect

Maximal subgroups

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

subgroupindex
#596512
#594412
#592272
#592112
#590522
#590362
#457452
#456402
#455952
#404552
#400942
#400702
#400292
#399822
#397342
#396072
#394702
#393432
#386112
#378372
#376512
#375192
#369282
#366252
#366242
#365442
Q8×#1212
#362082
#362032
#361862
#361762
#352392
#350822
#344122
C2×C4×C22⋊Q82