Finite Group Databasebeta

← #7653651

Subgroups — #7653651

Order 512.

4902 conjugacy classes of subgroups.

The subgroup lattice has 1694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42543C212yesmaximal, complemented
2#42535C212yesmaximal, complemented
3#40832C214yesmaximal, complemented
4#40820C214yesmaximal, complemented
5#40069C212yesmaximal, complemented
6#40060C214yesmaximal, complemented
7#39377C211yesmaximal, characteristic, complemented
8#39200C211yesmaximal, characteristic, complemented
9#39149C211yesmaximal, characteristic, complemented
10#39020C212yesmaximal, complemented
11#39012C214yesmaximal, complemented
12#38930C211yesmaximal, characteristic, complemented
13#38116C212yesmaximal, complemented
14#37897C212yesmaximal, complemented
15#37859C212yesmaximal, complemented
16#37668C212yesmaximal, complemented
17#37628C211yesmaximal, characteristic, complemented
18#37509C212yesmaximal, complemented
19#36553C212yesmaximal, complemented
20#36487C212yesmaximal, complemented
21#36406C211yesmaximal, characteristic, complemented
22#36194C211yesmaximal, characteristic, complemented
23#36161C211yesmaximal, characteristic, complemented
24#36100C211yesmaximal, characteristic
25#35911C212yesmaximal, complemented
26#35880C212yesmaximal, complemented
27#35283C211yesmaximal, characteristic, complemented
28#35196C211yesmaximal, characteristic, complemented
29#35155C212yesmaximal, complemented
30#35014C212yesmaximal, complemented
31#34969C211yesmaximal, characteristic, complemented
32#34742C212yesmaximal, complemented
33#34324C211yesmaximal, characteristic, complemented
34C4×#547C211yesmaximal, characteristic, complemented
35#34126C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#547C2211yescharacteristic
38C2×#542C2212yescomplemented
39C2×#525C2212yes—
40C2×C4×#41C2212yescomplemented
41C22×C4×D4C2211yescharacteristic
42#2868C2211yescharacteristic, complemented
43#2862C2211yescharacteristic, complemented
44#2857C2211yescharacteristic
45#2857C2211yescharacteristic
46#2857C2212yescomplemented
47#2857C2212yescomplemented
48#2855C2214yescomplemented
49#2855C2212yescomplemented
50#2853C2214yescomplemented
51#2850C2212yes—
52#2848C2212yes—
53#2848C2212yes—
54#2836C2214yescomplemented
55#2835C2214yescomplemented
56#2827C2214yes—
57#2778C2214yes—
58#2776C2214yescomplemented
59#2773C2214yescomplemented
60#2754C2214yescomplemented
61#2750C2214yescomplemented
62#2747C2214yescomplemented
63#2747C2214yescomplemented
64#2745C2214yescomplemented
65#2743C2214yes—
66#2741C2214yes—
67#2741C2214yes—
68#2739C2214yes—
69#2739C2214yescomplemented
70#2738C2214yescomplemented
71#2736C2214yes—
72#2735C2214yes—
73#2728C2214yescomplemented
74#2718C2214yescomplemented
75#2697C2214yes—
76#2696C2214yes—
77#2695C2214yescomplemented
78#2687C2214yescomplemented
79#2684C2214yes—
80#2674C2214yescomplemented
81#2655C2214yescomplemented
82#2654C2214yescomplemented
83#2653C2214yes—
84#2652C2214yescomplemented
85#2650C2214yescomplemented
86#2649C2214yescomplemented
87#2647C2212yescomplemented
88#2647C2212yescomplemented
89#2647C2212yescomplemented
90#2646C2214yescomplemented
91#2645C2212yescomplemented
92#2644C2212yes—
93#2638C2214yescomplemented
94#2630C2214yes—
95#2628C2212yes—
96#2628C2212yescomplemented
97#2626C2214yes—
98#2625C2212yescomplemented
99#2625C2212yescomplemented
100#2621C2212yescomplemented
101#2596C2214yescomplemented
102#2596C2214yescomplemented
103#2596C2214yescomplemented
104#2592C2212yes—
105#2589C2214yes—
106#2589C2214yescomplemented
107#2588C2214yescomplemented
108#2587C2214yes—
109#2587C2214yescomplemented
110#2585C2214yescomplemented
111#2585C2214yescomplemented
112#2582C2212yescomplemented
113#2575C2214yescomplemented
114#2574C2214yes—
115#2571C2211yescharacteristic, complemented
116#2571C2211yescharacteristic, complemented
117#2570C2212yescomplemented
118#2563C2212yes—
119#2553C2214yescomplemented
120#2553C2214yescomplemented
121#2547C2211yescharacteristic
122#2546C2211yescharacteristic, complemented
123#2542C2211yescharacteristic
124#2542C2211yescharacteristic, complemented
125#2538C2212yes—
126#2538C2211yescharacteristic
127#2537C2211yescharacteristic
128#2536C2212yes—
129#2530C2214yes—
130#2530C2212yescomplemented
131#2527C2214yescomplemented
132#2527C2214yescomplemented
133#2527C2212yescomplemented
134#2526C2214yescomplemented
135#2516C2214yescomplemented
136#2513C2212yes—
137#2511C2211yescharacteristic, complemented
138#2511C2212yescomplemented
139#2511C2212yescomplemented
140#2511C2212yescomplemented
141#2509C2212yescomplemented
142#2509C2211yescharacteristic, complemented
143#2507C2212yescomplemented
144#2505C2214yescomplemented
145#2503C2212yescomplemented
146#2501C2212yes—
147#2499C2212yescomplemented
148#2497C2212yes—
149#2497C2212yes—
150#2497C2214yescomplemented
151#2497C2212yescomplemented
152#2496C2212yescomplemented
153#2494C2212yes—
154#2494C2211yescharacteristic
155#2492C2212yes—
156#2492C2212yes—
157#2492C2211yescharacteristic
158#2492C2212yescomplemented
159#2492C2214yescomplemented
160#2491C2212yes—
161#2488C2214yescomplemented
162#2485C2212yes—
163#2480C2214yes—
164#2478C2214yescomplemented
165#2477C2212yes—
166#2474C2214yescomplemented
167#2470C2212yes—
168#2468C2214yes—
169#2466C2214yes—
170#2466C2214yescomplemented
171#2459C2214yes—
172#2455C2214yes—
173#2452C2211yescharacteristic, complemented
174#2451C2212yescomplemented
175#2451C2212yescomplemented
176#2450C2214yes—
177#2448C2212yes—
178#2447C2212yes—
179#2447C2214yescomplemented
180#2447C2211yescharacteristic, complemented
181#2440C2212yescomplemented
182#2439C2212yescomplemented
183#2439C2212yescomplemented
184#2435C2212yes—
185#2432C2212yescomplemented
186#2429C2212yes—
187#2429C2212yescomplemented
188#2427C2211yescharacteristic
189#2427C2212yes—
190#2427C2212yes—
191#2426C2212yes—
192#2423C2212yes—
193#2423C2212yes—
194#2423C2212yescomplemented
195#2423C2212yescomplemented
196#2422C2212yes—
197#2422C2211yescharacteristic
198#2422C2212yescomplemented
199#2421C2212yes—
200#2421C2212yescomplemented
201#2421C2212yescomplemented
202#2421C2212yescomplemented
203#2420C2212yes—
204#2420C2212yescomplemented
205#2419C2214yescomplemented
206#2419C2214yescomplemented
207#2419C2214yescomplemented
208#2418C2214yes—
209#2418C2214yes—
210#2418C2214yes—
211#2417C2212yes—
212#2415C2212yes—
213#2415C2212yes—
214#2408C2212yes—
215#2407C2212yes—
216#2401C2212yescomplemented
217#2398C2212yes—
218#2395C2214yes—
219#2395C2214yescomplemented
220#2373C2214yescomplemented
221#2369C2212yescomplemented
222#2367C2212yes—
223#2367C2212yes—
224#2365C2211yescharacteristic, complemented
225#2365C2211yescharacteristic, complemented
226#2362C2212yescomplemented
227#2362C2212yescomplemented
228#2361C2212yes—
229#2361C2212yes—
230#2360C2212yes—
231#2360C2212yescomplemented
232#2360C2212yescomplemented
233#2359C2214yescomplemented
234#2357C2211yescharacteristic
235#2357C2211yescharacteristic
236#2355C2212yescomplemented
237#2355C2212yescomplemented
238#2354C2211yescharacteristic
239#2354C2211yescharacteristic
240#2353C2212yes—
241#2353C2212yes—
242Q8×C4⋊C4C2211yescharacteristic, complemented
243#2349C2211yescharacteristic
244#2349C2211yescharacteristic
245D4×C4⋊C4C2212yes—
246D4×C4⋊C4C2211yescharacteristic, complemented
247#2346C2212yescomplemented
248#2345C2211yescharacteristic
249#2345C2211yescharacteristic
250#2344C2212yescomplemented
251#2342C2212yes—
252#2342C2212yes—
253#2339C2212yescomplemented
254D4×C22⋊C4C2211yescharacteristic
255D4×C22⋊C4C2211yescharacteristic
256#2334C2214yescomplemented
257#2331C2212yescomplemented
258#2329C2214yescomplemented
259#2327C2212yescomplemented
260#2326C2212yes—
261#2324C2212yescomplemented
262#2323C2212yescomplemented
263#2319C2212yescomplemented
264#2314C2212yes—
265#2314C2212yescomplemented
266#2312C2214yes—
267C4×C4⋊Q8C2211yescharacteristic, complemented
268C4×C4⋊Q8C2211yescharacteristic, complemented
269C4×C4⋊Q8C2211yescharacteristic, complemented
270C4×#124C2211yescharacteristic, complemented
271C4×C22⋊Q8C2211yescharacteristic
272C4×C22⋊Q8C2212yescomplemented
273C4×C22⋊Q8C2212yescomplemented
274C4×C22⋊Q8C2212yescomplemented
275C4×#123C2214yes—
276C4×#123C2212yes—
277C4×#123C2214yescomplemented
278C4×#123C2214yescomplemented
279C4×#121C2211yescharacteristic
280C4×#121C2212yes—
281#2297C2212yescomplemented
282#2296C2212yescomplemented
283#2295C2211yescharacteristic, complemented
284#2293C2211yescharacteristic
285#2293C2211yescharacteristic
286#2290C2212yes—
287#2290C2212yes—
288#2285C2212yescomplemented
289#2283C2211yescharacteristic
290#2280C2212yes—
291#2280C2212yes—
292#2276C2212yescomplemented
293C42×D4C2211yescharacteristic
294C42×D4C2211yescharacteristic
295C42×D4C2211yescharacteristic, complemented
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2212yescomplemented
298C2×C4×C22⋊C4C2212yes—
299C22×#41C2312yes—
300C23×D4C2311yescharacteristic
301C24×C4C2312yes—
302#556—28no—
303#547—28no—
304#542—48no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×#126C2314yes—
313C2×#126C2314yes—
314C2×#124C2312yes—
315C2×#124C2311yescharacteristic
316C2×#124C2312yes—
317C2×#124C2314yes—
318#525—48no—
319C2×#123C2314yes—
320C2×#123C2312yes—
321C2×#123C2314yes—
322C2×#123C2314yes—
323C2×#123C2314yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2314yes—
328C2×C22⋊Q8C2311yescharacteristic
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×#121C2312yes—
338C2×#121C2312yes—
339C2×#121C2311yescharacteristic
340C2×#121C2312yes—
341C2×#120C2314yes—
342C4×#41—48no—
343C2×C4×Q8C2311yescharacteristic
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×D4—28no—
352C2×C4×D4C2312yes—
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2312yes—
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2312yes—
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2314yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2314yes—
368C2×C4×D4C2314yes—
369C2×C4×D4C2314yes—
370C2×C4×D4C2311yescharacteristic
371C2×#117C2311yescharacteristic
372C2×#117C2312yes—
373C2×#117C2312yes—
374C2×#117C2312yes—
375C2×#117C2311yescharacteristic
376C2×#117C2314yes—
377C2×#117C2312yes—
378C2×#117C2312yes—
379C22×C4⋊C4C2312yes—
380C22×C4⋊C4C2311yescharacteristic
381C22×C4⋊C4C2312yes—
382C22×C22⋊C4C2312yes—
383C22×C22⋊C4C2312yes—
384C22×C22⋊C4C2312yes—
385C22×C42C2311yescharacteristic
386C22×C42C2312yes—
387C22×C42C2314yes—
388C22×C42C2312yes—
389C22×C42C2312yes—
390#401C2314yes—
391#401C2312yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2312yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2312yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2312yes—
405#400C2314yes—
406#400C2314yes—
407#400C2312yes—
408#400C2312yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#399C2314yes—
416#399C2314yes—
417#399C2314yes—
418#399C2314yes—
419#399C2314yes—
420#399C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2312yes—
446#397C2312yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2312yes—
453#397C2314yes—
454#397C2312yes—
455#397C2312yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2312yes—
464#395C2314yes—
465#395C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2312yes—
475#394C2314yes—
476#394C2314yes—
477#394C2312yes—
478#393C2314yes—
479#393C2314yes—
480#393C2314yes—
481#393C2312yes—
482#393C2314yes—
483#393C2314yes—
484#393C2312yes—
485#392C2314yes—
486#391C2312yes—
487#391C2312yes—
488#391C2312yes—
489#391C2314yes—
490#391C2312yes—
491#391C2312yes—
492#391C2314yes—
493#391C2312yes—
494#391C2312yes—
495#391C2311yescharacteristic
496#391C2312yes—
497#391C2312yes—
498#391C2314yes—
499#391C2314yes—
500#391C2314yes—
501#391C2314yes—
502#391C2312yes—
503#391C2312yes—
504#391C2311yescharacteristic
505#391C2312yes—
506#391C2312yes—
507#391C2311yescharacteristic
508#391C2312yes—
509#391C2311yescharacteristic
510#390C2312yes—
511#390C2312yes—
512#390C2311yescharacteristic
513#390C2312yes—
514#390C2314yes—
515#390C2311yescharacteristic
516#390C2312yes—
517#390C2311yescharacteristic
518#390C2311yescharacteristic
519#390C2311yescharacteristic
520#390C2312yes—
521#390C2311yescharacteristic
522#389C2311yescharacteristic
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2311yescharacteristic
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2314yes—
537#389C2311yescharacteristic
538#389C2312yes—
539#389C2314yes—
540#389C2314yes—
541#389C2314yes—
542#389C2314yes—
543#389C2314yes—
544#389C2314yes—
545#389C2312yes—
546#389C2312yes—
547#389C2314yes—
548#389C2314yes—
549#389C2312yes—
550#389C2311yescharacteristic
551#389C2311yescharacteristic
552#389C2311yescharacteristic
553#389C2311yescharacteristic
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2311yescharacteristic
560#389C2311yescharacteristic
561#389C2311yescharacteristic
562#388C2312yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2312yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2312yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2312yes—
589#388C2314yes—
590#388C2312yes—
591#388C2312yes—
592#388C2314yes—
593#388C2314yes—
594#388C2312yes—
595#388C2312yes—
596#388C2312yes—
597#388C2312yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2312yes—
602#388C2312yes—
603#388C2312yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2312yes—
613#387C2314yes—
614#387C2314yes—
615#387C2312yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2312yes—
624#387C2312yes—
625#387C2312yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2312yes—
633#387C2312yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2312yes—
638#387C2314yes—
639#387C2312yes—
640#387C2314yes—
641#387C2312yes—
642#387C2312yes—
643#386C2312yes—
644#386C2314yes—
645#386C2312yes—
646#386C2312yes—
647#386C2312yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2312yes—
654#386C2314yes—
655#386C2314yes—
656#386C2312yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2312yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2312yes—
669#385C2314yes—
670#385C2312yes—
671#385C2312yes—
672#385C2312yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2312yes—
678#385C2314yes—
679#385C2312yes—
680#385C2312yes—
681#384C2311yescharacteristic
682#384C2311yescharacteristic
683#384C2311yescharacteristic
684#384C2312yes—
685#384C2312yes—
686#384C2312yes—
687#384C2312yes—
688#384C2312yes—
689#384C2312yes—
690#383C2312yes—
691#382C2312yes—
692#382C2312yes—
693#382C2312yes—
694#382C2312yes—
695#382C2311yescharacteristic
696#382C2312yes—
697#382C2314yes—
698#382C2312yes—
699#382C2311yescharacteristic
700#382C2311yescharacteristic
701#381C2314yes—
702#381C2312yes—
703#381C2314yes—
704#381C2312yes—
705#381C2314yes—
706#381C2312yes—
707#381C2312yes—
708#381C2314yes—
709#381C2314yes—
710#380C2314yes—
711#380C2314yes—
712#380C2314yes—
713#380C2312yes—
714#380C2312yes—
715#380C2312yes—
716#380C2312yes—
717#380C2312yes—
718#380C2314yes—
719#380C2312yes—
720#380C2314yes—
721#380C2311yescharacteristic
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2311yescharacteristic
726#380C2311yescharacteristic
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2314yes—
735#380C2312yes—
736#380C2311yescharacteristic
737#379C2314yes—
738#379C2314yes—
739#379C2312yes—
740#379C2312yes—
741#379C2314yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2311yescharacteristic
786C4×C22⋊C4C2311yescharacteristic
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806#376C2312yes—
807#376C2312yes—
808#376C2311yescharacteristic
809#376C2314yes—
810#376C2311yescharacteristic
811C2×#95C2312yes—
812C2×#95C2314yes—
813C2×#95C2312yes—
814C43C2311yescharacteristic
815C43C2311yescharacteristic
816C25C2412yes—
817C2×#41—28no—
818C2×#41—28no—
819C2×#41—44no—
820C22×Q8C2411yescharacteristic
821C22×Q8C2412yes—
822C22×Q8C2412yes—
823C22×Q8C2412yes—
824C22×Q8C2414yes—
825C22×D4—24no—
826C22×D4—42no—
827C22×D4—42no—
828C22×D4C2411yescharacteristic
829C22×D4C2412yes—
830C22×D4C2414yes—
831C22×D4C2411yescharacteristic
832C22×D4C2411yescharacteristic
833C22×D4C2412yes—
834C22×D4C2414yes—
835C23×C4—28no—
836C23×C4—44no—
837C23×C4—44no—
838C23×C4C2412yes—
839C23×C4C2411yescharacteristic
840C23×C4C2412yes—
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C23×C4C2414yes—
844C23×C4C2412yes—
845C23×C4C2412yes—
846C23×C4C2412yes—
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2412yes—
850C23×C4C2414yes—
851C23×C4C2412yes—
852C23×C4C2412yes—
853C23×C4C2412yes—
854C23×C4C2412yes—
855C4⋊Q8—24no—
856C4⋊Q8—24no—
857C4⋊Q8—42no—
858C4⋊Q8—44no—
859C4⋊Q8—44no—
860C4⋊Q8—44no—
861C4⋊Q8—44no—
862#126—216no—
863#126—48no—
864#124—28no—
865#124—24no—
866#124—44no—
867#124—48no—
868#123—216no—
869#123—28no—
870#123—48no—
871#123—48no—
872#123—48no—
873C22⋊Q8—28no—
874C22⋊Q8—28no—
875C22⋊Q8—48no—
876C22⋊Q8—44no—
877C22⋊Q8—44no—
878C22⋊Q8—44no—
879C22⋊Q8—44no—
880C22⋊Q8—42no—
881C22⋊Q8—44no—
882C22⋊Q8—48no—
883C22⋊Q8—44no—
884C22⋊Q8—44no—
885C22⋊Q8—44no—
886#121—28no—
887#121—24no—
888#121—28no—
889#121—44no—
890#120—48no—
891C4×Q8—28no—
892C4×Q8—24no—
893C4×Q8—44no—
894C4×Q8—44no—
895C4×Q8—44no—
896C4×Q8—44no—
897C4×Q8—44no—
898C4×Q8—44no—
899C4×D4—24no—
900C4×D4—24no—
901C4×D4—28no—
902C4×D4—28no—
903C4×D4—24no—
904C4×D4—28no—
905C4×D4—24no—
906C4×D4—24no—
907C4×D4—42no—
908C4×D4—42no—
909C4×D4—42no—
910C4×D4—42no—
911C4×D4—42no—
912C4×D4—44no—
913C4×D4—48no—
914C4×D4—48no—
915C4×D4—48no—
916C4×D4—48no—
917C4×D4#4118yes—
918#117—28no—
919#117—24no—
920#117—44no—
921#117—44no—
922#117—42no—
923#117—48no—
924#117—44no—
925#117—44no—
926C2×C4⋊C4—24no—
927C2×C4⋊C4—28no—
928C2×C4⋊C4—44no—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2411yescharacteristic
994C2×C22⋊C4—28no—
995C2×C22⋊C4—28no—
996C2×C22⋊C4—44no—
997C2×C22⋊C4C2411yescharacteristic
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2411yescharacteristic
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2411yescharacteristic
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2411yescharacteristic
1052C2×C42—24no—
1053C2×C42—44no—
1054C2×C42—44no—
1055C2×C42—44no—
1056C2×C42—48no—
1057C2×C42C2411yescharacteristic
1058C2×C42C2411yescharacteristic
1059C2×C42C2412yes—
1060C2×C42C2414yes—
1061C2×C42C2411yescharacteristic
1062C2×C42C2412yes—
1063C2×C42C2411yescharacteristic
1064C2×C42C2411yescharacteristic
1065C2×C42C2411yescharacteristic
1066C2×C42C2411yescharacteristic
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2411yescharacteristic
1071C2×C42C2412yes—
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2412yes—
1075C2×C42C2412yes—
1076C2×C42C2411yescharacteristic
1077C2×C42C2412yes—
1078C2×C42C2414yes—
1079C2×C42C2414yes—
1080C2×C42C2411yescharacteristic
1081C2×C42C2414yes—
1082C2×C42C2414yes—
1083C2×C42C2414yes—
1084C2×C42C2414yes—
1085C2×C42C2414yes—
1086C2×C42C2412yes—
1087C2×C42C2412yes—
1088C2×C42C2412yes—
1089C2×C42C2412yes—
1090C2×C42C2412yes—
1091C2×C42C2411yescharacteristic
1092#95C2411yescharacteristic
1093#95C2411yescharacteristic
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2411yescharacteristic
1107#95C2411yescharacteristic
1108#95C2411yescharacteristic
1109#95C2411yescharacteristic
1110#95C2411yescharacteristic
1111#95C2411yescharacteristic
1112#95C2414yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2412yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2414yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170C24—24no—
1171C24—24no—
1172C24—42no—
1173C24—42no—
1174C24—42no—
1175C24—42no—
1176C24—42no—
1177C24C2512yes—
1178C24C2512yes—
1179C24C2512yes—
1180C24C2511yescharacteristic
1181#41—432no—
1182C2×Q8—22no—
1183C2×Q8—24no—
1184C2×Q8—24no—
1185C2×Q8—22no—
1186C2×Q8—24no—
1187C2×Q8—24no—
1188C2×Q8—24no—
1189C2×Q8—22no—
1190C2×Q8—24no—
1191C2×Q8—24no—
1192C2×Q8—42no—
1193C2×Q8—42no—
1194C2×Q8—44no—
1195C2×Q8—44no—
1196C2×Q8—44no—
1197C2×D4—24no—
1198C2×D4—28no—
1199C2×D4—24no—
1200C2×D4—28no—
1201C2×D4—24no—
1202C2×D4—28no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—42no—
1211C2×D4—42no—
1212C2×D4—42no—
1213C2×D4—44no—
1214C2×D4—44no—
1215C2×D4—44no—
1216C2×D4—416no—
1217C2×D4C2×#4114yes—
1218C2×D4H(5,𝔽2)14yes—
1219C22×C4—24no—
1220C22×C4—24no—
1221C22×C4—24no—
1222C22×C4—28no—
1223C22×C4—22no—
1224C22×C4—24no—
1225C22×C4—28no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—24no—
1230C22×C4—28no—
1231C22×C4—24no—
1232C22×C4—24no—
1233C22×C4—22no—
1234C22×C4—24no—
1235C22×C4—24no—
1236C22×C4—24no—
1237C22×C4—24no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—24no—
1242C22×C4—24no—
1243C22×C4—24no—
1244C22×C4—24no—
1245C22×C4—24no—
1246C22×C4—42no—
1247C22×C4—41no—
1248C22×C4—44no—
1249C22×C4—42no—
1250C22×C4—42no—
1251C22×C4—42no—
1252C22×C4—42no—
1253C22×C4—42no—
1254C22×C4—42no—
1255C22×C4—44no—
1256C22×C4—42no—
1257C22×C4—42no—
1258C22×C4—42no—
1259C22×C4—42no—
1260C22×C4—42no—
1261C22×C4—42no—
1262C22×C4—42no—
1263C22×C4—42no—
1264C22×C4—42no—
1265C22×C4—44no—
1266C22×C4—42no—
1267C22×C4—42no—
1268C22×C4—42no—
1269C22×C4—816no—
1270C22×C4C2×#4118yes—
1271C22×C4C2511yescharacteristic
1272C22×C4C2512yes—
1273C22×C4C2511yescharacteristic
1274C22×C4C2511yescharacteristic
1275C22×C4C2511yescharacteristic
1276C22×C4C2511yescharacteristic
1277C22×C4C2512yes—
1278C22×C4C2511yescharacteristic
1279C22×C4C2512yes—
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2514yes—
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2514yes—
1289C22×C4C2512yes—
1290C22×C4C2511yescharacteristic
1291C22×C4C2511yescharacteristic
1292C22×C4C2514yes—
1293C22×C4C2514yes—
1294C22×C4C2512yes—
1295C22×C4C2512yes—
1296C22×C4C2511yescharacteristic
1297C22×C4C2511yescharacteristic
1298C22×C4C2511yescharacteristic
1299C22×C4C2511yescharacteristic
1300C22×C4C2511yescharacteristic
1301C22×C4C2511yescharacteristic
1302C4⋊C4—24no—
1303C4⋊C4—22no—
1304C4⋊C4—24no—
1305C4⋊C4—28no—
1306C4⋊C4—22no—
1307C4⋊C4—24no—
1308C4⋊C4—22no—
1309C4⋊C4—28no—
1310C4⋊C4—24no—
1311C4⋊C4—24no—
1312C4⋊C4—24no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—24no—
1316C4⋊C4—24no—
1317C4⋊C4—22no—
1318C4⋊C4—22no—
1319C4⋊C4—24no—
1320C4⋊C4—24no—
1321C4⋊C4—22no—
1322C4⋊C4—24no—
1323C4⋊C4—22no—
1324C4⋊C4—22no—
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—22no—
1328C4⋊C4—24no—
1329C4⋊C4—22no—
1330C4⋊C4—28no—
1331C4⋊C4—44no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—41no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—42no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C4⋊C4—42no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4C2×#4114yes—
1367C22⋊C4—24no—
1368C22⋊C4—28no—
1369C22⋊C4—28no—
1370C22⋊C4—28no—
1371C22⋊C4—24no—
1372C22⋊C4—28no—
1373C22⋊C4—24no—
1374C22⋊C4—28no—
1375C22⋊C4—24no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—22no—
1379C22⋊C4—24no—
1380C22⋊C4—24no—
1381C22⋊C4—24no—
1382C22⋊C4—24no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—24no—
1386C22⋊C4—22no—
1387C22⋊C4—24no—
1388C22⋊C4—24no—
1389C22⋊C4—42no—
1390C22⋊C4—42no—
1391C22⋊C4—42no—
1392C22⋊C4—42no—
1393C22⋊C4—41no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C22⋊C4—42no—
1400C22⋊C4—42no—
1401C22⋊C4—42no—
1402C22⋊C4—42no—
1403C22⋊C4—42no—
1404C22⋊C4—42no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—42no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—42no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4C2×#4118yes—
1421C22⋊C42−1+414yes—
1422C42—22no—
1423C42—22no—
1424C42—22no—
1425C42—28no—
1426C42—24no—
1427C42—22no—
1428C42—24no—
1429C42—22no—
1430C42—22no—
1431C42—22no—
1432C42—22no—
1433C42—22no—
1434C42—24no—
1435C42—24no—
1436C42—22no—
1437C42—22no—
1438C42—22no—
1439C42—22no—
1440C42—24no—
1441C42—22no—
1442C42—42no—
1443C42—42no—
1444C42—42no—
1445C42—42no—
1446C42—42no—
1447C42—42no—
1448C42—44no—
1449C42—44no—
1450C42—44no—
1451C42—41no—
1452C42—44no—
1453C42—44no—
1454C42—44no—
1455C42—44no—
1456C42C2×#4114yes—
1457C23—22no—
1458C23—21no—
1459C23—22no—
1460C23—21no—
1461C23—22no—
1462C23—22no—
1463C23—21no—
1464C23—22no—
1465C23—22no—
1466C23—21no—
1467C23—22no—
1468C23—22no—
1469C23—21no—
1470C23—21no—
1471C23—22no—
1472C23—22no—
1473C23—22no—
1474C23—22no—
1475C23—22no—
1476C23—22no—
1477C23—22no—
1478C23—22no—
1479C23—22no—
1480C23—22no—
1481C23—22no—
1482C23—48no—
1483C23—48no—
1484C23—84no—
1485C23—84no—
1486C23—84no—
1487C23—84no—
1488C23—84no—
1489C23C22×#4114yes—
1490C23C2×H(5,𝔽2)14yes—
1491C23C2×2−1+412yes—
1492C23C2611yescharacteristic
1493Q8—48no—
1494Q8—44no—
1495Q8—48no—
1496Q8—84no—
1497Q8—164no—
1498D4—28no—
1499D4—28no—
1500D4—48no—
1501D4—416no—
1502D4—48no—
1503D4—44no—
1504D4—88no—
1505C2×C4—21no—
1506C2×C4—22no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—22no—
1515C2×C4—216no—
1516C2×C4—22no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—22no—
1521C2×C4—24no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—24no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—24no—
1534C2×C4—24no—
1535C2×C4—24no—
1536C2×C4—22no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—21no—
1547C2×C4—22no—
1548C2×C4—21no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—21no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—21no—
1563C2×C4—24no—
1564C2×C4—24no—
1565C2×C4—21no—
1566C2×C4—24no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—21no—
1573C2×C4—22no—
1574C2×C4—24no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—21no—
1580C2×C4—24no—
1581C2×C4—24no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—24no—
1585C2×C4—22no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—48no—
1589C2×C4—44no—
1590C2×C4—416no—
1591C2×C4—48no—
1592C2×C4—44no—
1593C2×C4—48no—
1594C2×C4—44no—
1595C2×C4—84no—
1596C2×C4—84no—
1597C2×C4—84no—
1598C2×C4—84no—
1599C2×C4—84no—
1600C2×C4—88no—
1601C2×C4—84no—
1602C2×C4—84no—
1603C2×C4—84no—
1604C2×C4C22×#4114yes—
1605C2×C4C22×#4112yes—
1606C2×C4C22×#4112yes—
1607C2×C4C22×#4112yes—
1608C2×C4C2×H(5,𝔽2)12yes—
1609C2×C4C2×2−1+412yes—
1610C2×C4C2×2−1+412yes—
1611C2×C4#58512yes—
1612C2×C4#58512yes—
1613C2×C4#58512yes—
1614C2×C4#58512yes—
1615C22—24no—
1616C22—22no—
1617C22—24no—
1618C22—22no—
1619C22—24no—
1620C22—24no—
1621C22—22no—
1622C22—24no—
1623C22—24no—
1624C22—42no—
1625C22—42no—
1626C22—41no—
1627C22—42no—
1628C22—42no—
1629C22—41no—
1630C22—42no—
1631C22—42no—
1632C22—41no—
1633C22—42no—
1634C22—42no—
1635C22—41no—
1636C22—42no—
1637C22—42no—
1638C22—42no—
1639C22—42no—
1640C22—42no—
1641C22—42no—
1642C22—42no—
1643C22—816no—
1644C22C23×#4111yescharacteristic
1645C22C22×H(5,𝔽2)11yescharacteristic
1646C22C22×2−1+411yescharacteristic
1647C22C2×#58511yescharacteristic
1648C22C2×#58511yescharacteristic
1649C22C2×#58511yescharacteristic
1650C22C2×#58511yescharacteristic
1651C4—22no—
1652C4—22no—
1653C4—24no—
1654C4—22no—
1655C4—22no—
1656C4—41no—
1657C4—42no—
1658C4—42no—
1659C4—42no—
1660C4—41no—
1661C4—42no—
1662C4—44no—
1663C4—44no—
1664C4—41no—
1665C4—41no—
1666C4—42no—
1667C4—42no—
1668C4—41no—
1669C4—44no—
1670C4—42no—
1671C4—42no—
1672C4—41no—
1673C4—42no—
1674C4—42no—
1675C4—42no—
1676C4—41no—
1677C4—42no—
1678C4—41no—
1679C4—44no—
1680C4#345514yes—
1681C4#351314yes—
1682C2—44no—
1683C2—44no—
1684C2—42no—
1685C2—82no—
1686C2C2×#345511yescharacteristic
1687C2C2×#351311yescharacteristic
1688C2#6280511yescharacteristic
1689C2#6301311yescharacteristic
1690C2#6302111yescharacteristic
1691C2#6302511yescharacteristic
1692C2#6302811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#36100C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42543C2semidirect
2. #42535C2semidirect
3. #40832C2semidirect
4. #40820C2semidirect
5. #40069C2semidirect
6. #40060C2semidirect
7. #39377C2semidirect
8. #39200C2semidirect
9. #39149C2semidirect
10. #39020C2semidirect
11. #39012C2semidirect
12. #38930C2semidirect
13. #38116C2semidirect
14. #37897C2semidirect
15. #37859C2semidirect
16. #37668C2semidirect
17. #37628C2semidirect
18. #37509C2semidirect
19. #36553C2semidirect
20. #36487C2semidirect
21. #36406C2semidirect
22. #36194C2semidirect
23. #36161C2semidirect
25. #35911C2semidirect
26. #35880C2semidirect
27. #35283C2semidirect
28. #35196C2semidirect
29. #35155C2semidirect
30. #35014C2semidirect
31. #34969C2semidirect
32. #34742C2semidirect
33. #34324C2semidirect
34. C4×#547C2semidirect
35. #34126C2semidirect
38. C2×#542C22semidirect
40. C2×C4×#41C22semidirect
42. #2868C22semidirect
43. #2862C22semidirect
46. #2857C22semidirect
47. #2857C22semidirect
48. #2855C22semidirect
49. #2855C22semidirect
50. #2853C22semidirect
54. #2836C22semidirect
55. #2835C22semidirect
58. #2776C22semidirect
59. #2773C22semidirect
60. #2754C22semidirect
61. #2750C22semidirect
62. #2747C22semidirect
63. #2747C22semidirect
64. #2745C22semidirect
69. #2739C22semidirect
70. #2738C22semidirect
73. #2728C22semidirect
74. #2718C22semidirect
77. #2695C22semidirect
78. #2687C22semidirect
80. #2674C22semidirect
81. #2655C22semidirect
82. #2654C22semidirect
84. #2652C22semidirect
85. #2650C22semidirect
86. #2649C22semidirect
87. #2647C22semidirect
88. #2647C22semidirect
89. #2647C22semidirect
90. #2646C22semidirect
91. #2645C22semidirect
93. #2638C22semidirect
96. #2628C22semidirect
98. #2625C22semidirect
99. #2625C22semidirect
100. #2621C22semidirect
101. #2596C22semidirect
102. #2596C22semidirect
103. #2596C22semidirect
106. #2589C22semidirect
107. #2588C22semidirect
109. #2587C22semidirect
110. #2585C22semidirect
111. #2585C22semidirect
112. #2582C22semidirect
113. #2575C22semidirect
115. #2571C22semidirect
116. #2571C22semidirect
117. #2570C22semidirect
119. #2553C22semidirect
120. #2553C22semidirect
122. #2546C22semidirect
124. #2542C22semidirect
130. #2530C22semidirect
131. #2527C22semidirect
132. #2527C22semidirect
133. #2527C22semidirect
134. #2526C22semidirect
135. #2516C22semidirect
137. #2511C22semidirect
138. #2511C22semidirect
139. #2511C22semidirect
140. #2511C22semidirect
141. #2509C22semidirect
142. #2509C22semidirect
143. #2507C22semidirect
144. #2505C22semidirect
145. #2503C22semidirect
147. #2499C22semidirect
150. #2497C22semidirect
151. #2497C22semidirect
152. #2496C22semidirect
158. #2492C22semidirect
159. #2492C22semidirect
161. #2488C22semidirect
164. #2478C22semidirect
166. #2474C22semidirect
170. #2466C22semidirect
173. #2452C22semidirect
174. #2451C22semidirect
175. #2451C22semidirect
179. #2447C22semidirect
180. #2447C22semidirect
181. #2440C22semidirect
182. #2439C22semidirect
183. #2439C22semidirect
185. #2432C22semidirect
187. #2429C22semidirect
194. #2423C22semidirect
195. #2423C22semidirect
198. #2422C22semidirect
200. #2421C22semidirect
201. #2421C22semidirect
202. #2421C22semidirect
204. #2420C22semidirect
205. #2419C22semidirect
206. #2419C22semidirect
207. #2419C22semidirect
216. #2401C22semidirect
219. #2395C22semidirect
220. #2373C22semidirect
221. #2369C22semidirect
224. #2365C22semidirect
225. #2365C22semidirect
226. #2362C22semidirect
227. #2362C22semidirect
231. #2360C22semidirect
232. #2360C22semidirect
233. #2359C22semidirect
236. #2355C22semidirect
237. #2355C22semidirect
242. Q8×C4⋊C4C22semidirect
246. D4×C4⋊C4C22semidirect
247. #2346C22semidirect
250. #2344C22semidirect
253. #2339C22semidirect
256. #2334C22semidirect
257. #2331C22semidirect
258. #2329C22semidirect
259. #2327C22semidirect
261. #2324C22semidirect
262. #2323C22semidirect
263. #2319C22semidirect
265. #2314C22semidirect
267. C4×C4⋊Q8C22semidirect
268. C4×C4⋊Q8C22semidirect
269. C4×C4⋊Q8C22semidirect
270. C4×#124C22semidirect
272. C4×C22⋊Q8C22semidirect
273. C4×C22⋊Q8C22semidirect
274. C4×C22⋊Q8C22semidirect
277. C4×#123C22semidirect
278. C4×#123C22semidirect
281. #2297C22semidirect
282. #2296C22semidirect
283. #2295C22semidirect
288. #2285C22semidirect
292. #2276C22semidirect
295. C42×D4C22semidirect
297. C2×C4×C4⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#425432
#425352
#408322
#408202
#400692
#400602
#393772
#392002
#391492
#390202
#390122
#389302
#381162
#378972
#378592
#376682
#376282
#375092
#365532
#364872
#364062
#361942
#361612
#361002
#359112
#358802
#352832
#351962
#351552
#350142
#349692
#347422
#343242
C4×#5472
#341262