Finite Group Databasebeta

← #7657416

Subgroups — #7657416

Order 512.

4782 conjugacy classes of subgroups.

The subgroup lattice has 1689 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42642C212yesmaximal, complemented
2#42631C212yesmaximal, complemented
3#42559C212yesmaximal, complemented
4#42535C212yesmaximal, complemented
5#40910C214yesmaximal, complemented
6#40906C214yesmaximal, complemented
7#40900C214yesmaximal, complemented
8#40896C214yesmaximal, complemented
9#39607C211yesmaximal, characteristic, complemented
10#39606C211yesmaximal, characteristic, complemented
11#39515C211yesmaximal, characteristic, complemented
12#39377C211yesmaximal, characteristic, complemented
13#37887C212yesmaximal, complemented
14#37857C212yesmaximal, complemented
15#37856C212yesmaximal, complemented
16#37711C212yesmaximal, complemented
17#37637C211yesmaximal, characteristic, complemented
18#37627C211yesmaximal, characteristic, complemented
19#37510C212yesmaximal, complemented
20#37508C212yesmaximal, complemented
21#36185C211yesmaximal, characteristic, complemented
22#36161C211yesmaximal, characteristic, complemented
23#36160C211yesmaximal, characteristic
24#36134C211yesmaximal, characteristic, complemented
25#35993C212yesmaximal, complemented
26#35945C212yesmaximal, complemented
27#35895C212yesmaximal, complemented
28#35745C212yesmaximal, complemented
29#35283C211yesmaximal, characteristic, complemented
30#35260C212yesmaximal, complemented
31#34634C212yesmaximal, complemented
32#34619C211yesmaximal, characteristic, complemented
33#34324C211yesmaximal, characteristic, complemented
34#34321C211yesmaximal, characteristic, complemented
35D4×#117C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#555C2211yescharacteristic
38C2×#542C2212yescomplemented
39C2×#533C2212yescomplemented
40C22×C4×D4C2211yescharacteristic
41C22×#117C2212yes—
42#2868C2211yescharacteristic, complemented
43#2862C2211yescharacteristic, complemented
44#2857C2211yescharacteristic
45#2857C2211yescharacteristic
46#2857C2212yescomplemented
47#2850C2212yescomplemented
48#2848C2212yes—
49#2847C2212yes—
50#2837C2214yescomplemented
51#2834C2214yescomplemented
52#2831C2214yescomplemented
53#2827C2214yes—
54#2827C2214yescomplemented
55#2826C2214yes—
56#2798C2214yescomplemented
57#2768C2214yescomplemented
58#2759C2214yescomplemented
59#2755C2214yescomplemented
60#2748C2214yes—
61#2747C2214yescomplemented
62#2746C2214yescomplemented
63#2744C2214yescomplemented
64#2741C2214yes—
65#2740C2214yescomplemented
66#2738C2214yescomplemented
67#2735C2214yes—
68#2735C2214yes—
69#2730C2214yes—
70#2728C2214yescomplemented
71#2723C2214yescomplemented
72#2718C2214yescomplemented
73#2704C2214yes—
74#2702C2214yes—
75#2697C2214yes—
76#2696C2214yes—
77#2690C2214yescomplemented
78#2685C2214yes—
79#2674C2214yescomplemented
80#2655C2214yescomplemented
81#2654C2212yescomplemented
82#2654C2214yescomplemented
83#2654C2214yescomplemented
84#2653C2212yes—
85#2652C2214yescomplemented
86#2651C2214yescomplemented
87#2651C2214yescomplemented
88#2650C2212yescomplemented
89#2649C2212yes—
90#2649C2214yes—
91#2647C2212yescomplemented
92#2647C2211yescharacteristic, complemented
93#2647C2212yescomplemented
94#2645C2211yescharacteristic, complemented
95#2644C2212yes—
96#2644C2211yescharacteristic, complemented
97#2640C2211yescharacteristic, complemented
98#2637C2214yescomplemented
99#2633C2214yescomplemented
100#2630C2214yes—
101#2629C2212yes—
102#2629C2212yes—
103#2629C2212yescomplemented
104#2629C2212yescomplemented
105#2628C2211yescharacteristic
106#2628C2212yes—
107#2628C2212yescomplemented
108#2628C2212yescomplemented
109#2627C2214yescomplemented
110#2627C2214yescomplemented
111#2626C2214yes—
112#2626C2214yes—
113#2625C2211yescharacteristic
114#2625C2212yescomplemented
115#2625C2212yescomplemented
116#2624C2211yescharacteristic
117#2624C2212yescomplemented
118#2620C2211yescharacteristic
119#2620C2212yes—
120#2594C2214yescomplemented
121#2592C2212yes—
122#2590C2214yescomplemented
123#2581C2212yescomplemented
124#2577C2214yescomplemented
125#2577C2214yescomplemented
126#2576C2214yes—
127#2573C2214yes—
128#2567C2211yescharacteristic, complemented
129#2563C2211yescharacteristic
130#2558C2214yescomplemented
131#2553C2214yescomplemented
132#2552C2211yescharacteristic, complemented
133#2552C2211yescharacteristic, complemented
134#2552C2212yescomplemented
135#2547C2211yescharacteristic
136#2542C2212yes—
137#2542C2211yescharacteristic, complemented
138#2538C2211yescharacteristic
139#2538C2212yes—
140#2538C2212yes—
141#2537C2211yescharacteristic
142#2533C2214yescomplemented
143#2532C2214yescomplemented
144#2531C2214yescomplemented
145#2526C2214yes—
146#2522C2214yescomplemented
147#2521C2214yescomplemented
148#2521C2214yescomplemented
149#2520C2214yescomplemented
150#2519C2214yescomplemented
151#2515C2214yes—
152#2514C2212yescomplemented
153#2512C2212yes—
154#2511C2212yescomplemented
155#2511C2212yescomplemented
156#2508C2212yescomplemented
157#2507C2212yescomplemented
158#2507C2212yescomplemented
159#2506C2212yescomplemented
160#2502C2212yescomplemented
161#2501C2212yes—
162#2500C2212yescomplemented
163#2499C2212yescomplemented
164#2497C2212yes—
165#2497C2212yes—
166#2497C2212yescomplemented
167#2496C2212yescomplemented
168#2496C2212yescomplemented
169#2495C2212yescomplemented
170#2494C2212yescomplemented
171#2492C2212yes—
172#2492C2212yes—
173#2491C2212yes—
174#2490C2212yescomplemented
175#2489C2212yescomplemented
176#2485C2212yes—
177#2485C2212yes—
178#2481C2214yescomplemented
179#2480C2214yes—
180#2479C2214yes—
181#2477C2214yes—
182#2474C2214yescomplemented
183#2472C2214yes—
184#2472C2214yes—
185#2470C2214yescomplemented
186#2469C2214yescomplemented
187#2466C2214yes—
188#2459C2214yes—
189#2458C2214yescomplemented
190#2454C2212yescomplemented
191#2453C2212yescomplemented
192#2451C2212yescomplemented
193#2451C2212yescomplemented
194#2449C2214yescomplemented
195#2448C2212yes—
196#2448C2214yescomplemented
197#2447C2212yes—
198#2441C2212yescomplemented
199#2441C2212yescomplemented
200#2440C2212yescomplemented
201#2435C2212yes—
202#2429C2214yescomplemented
203#2427C2212yes—
204#2427C2212yes—
205#2426C2212yes—
206#2423C2212yes—
207#2423C2212yes—
208#2423C2214yescomplemented
209#2423C2212yescomplemented
210#2423C2212yescomplemented
211#2423C2212yescomplemented
212#2422C2212yescomplemented
213#2421C2214yescomplemented
214#2420C2212yes—
215#2418C2214yes—
216#2417C2212yes—
217#2415C2212yes—
218#2414C2212yes—
219#2408C2212yes—
220#2401C2212yescomplemented
221#2398C2212yes—
222#2396C2214yes—
223#2396C2214yes—
224#2396C2214yescomplemented
225#2396C2212yescomplemented
226#2396C2214yescomplemented
227#2395C2212yes—
228#2373C2214yescomplemented
229#2369C2211yescharacteristic, complemented
230#2367C2212yes—
231#2367C2212yes—
232#2367C2214yescomplemented
233#2365C2211yescharacteristic, complemented
234#2365C2212yescomplemented
235#2363C2212yes—
236#2363C2212yescomplemented
237#2362C2212yescomplemented
238#2362C2212yescomplemented
239#2362C2212yescomplemented
240#2361C2212yes—
241#2360C2212yes—
242#2355C2212yescomplemented
243#2354C2211yescharacteristic
244#2354C2211yescharacteristic
245#2354C2211yescharacteristic
246#2354C2211yescharacteristic
247#2352C2212yes—
248#2352C2212yes—
249#2352C2212yes—
250Q8×C4⋊C4C2211yescharacteristic, complemented
251Q8×C4⋊C4C2212yescomplemented
252D4×C4⋊C4C2211yescharacteristic
253D4×C4⋊C4C2211yescharacteristic
254D4×C4⋊C4C2211yescharacteristic, complemented
255#2347C2212yescomplemented
256#2347C2212yescomplemented
257#2346C2212yescomplemented
258#2344C2211yescharacteristic
259#2344C2211yescharacteristic
260#2342C2212yes—
261#2342C2212yes—
262D4×C22⋊C4C2211yescharacteristic
263D4×C22⋊C4C2211yescharacteristic
264#2337C2214yescomplemented
265#2334C2214yescomplemented
266#2331C2212yescomplemented
267#2326C2212yes—
268#2324C2212yes—
269#2324C2212yes—
270#2323C2212yes—
271#2314C2212yes—
272#2314C2212yescomplemented
273C4×C4⋊Q8C2211yescharacteristic, complemented
274C4×C4⋊Q8C2211yescharacteristic, complemented
275C4×C4⋊Q8C2211yescharacteristic, complemented
276C4×#124C2211yescharacteristic, complemented
277C4×C22⋊Q8C2211yescharacteristic
278C4×C22⋊Q8C2212yescomplemented
279C4×#121C2211yescharacteristic
280C4×#121C2212yescomplemented
281#2296C2212yescomplemented
282#2296C2212yescomplemented
283#2295C2211yescharacteristic, complemented
284#2293C2211yescharacteristic
285#2293C2211yescharacteristic
286#2293C2211yescharacteristic, complemented
287#2290C2212yes—
288#2290C2212yes—
289#2285C2211yescharacteristic
290#2285C2212yescomplemented
291#2280C2212yes—
292#2280C2212yes—
293#2280C2212yes—
294#2276C2212yescomplemented
295#2274C2212yescomplemented
296C42×D4C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C23×D4C2311yescharacteristic
300C24×C4C2312yes—
301#556—28no—
302#555—28no—
303#542—48no—
304#533—48no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×#126C2314yes—
312C2×#126C2314yes—
313C2×#126C2314yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#125C2314yes—
317C2×#124C2312yes—
318C2×#124C2314yes—
319C2×#124C2311yescharacteristic
320C2×#124C2312yes—
321C2×#124C2314yes—
322C2×#123C2314yes—
323C2×#123C2314yes—
324C2×C22⋊Q8C2311yescharacteristic
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2314yes—
331C2×C22⋊Q8C2314yes—
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2314yes—
335C2×#121C2311yescharacteristic
336C2×#121C2312yes—
337C2×#121C2312yes—
338C2×#121C2312yes—
339C2×#121C2312yes—
340C2×#120C2314yes—
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2314yes—
348C2×C4×Q8C2314yes—
349C2×C4×Q8C2312yes—
350C2×C4×D4—28no—
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2312yes—
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2312yes—
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2312yes—
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2312yes—
363C2×C4×D4C2314yes—
364C2×C4×D4C2311yescharacteristic
365C2×#117—48no—
366C2×#117C2311yescharacteristic
367C2×#117C2312yes—
368C2×#117C2312yes—
369C2×#117C2312yes—
370C2×#117C2312yes—
371C2×#117C2311yescharacteristic
372C2×#117C2312yes—
373C2×#117C2312yes—
374C2×#117C2312yes—
375C2×#117C2312yes—
376C2×#117C2312yes—
377C2×#117C2312yes—
378C2×#117C2312yes—
379C2×#117C2312yes—
380C2×#117C2312yes—
381C22×C4⋊C4C2311yescharacteristic
382C22×C4⋊C4C2312yes—
383C22×C4⋊C4C2312yes—
384C22×C4⋊C4C2312yes—
385C22×C22⋊C4C2312yes—
386C22×C22⋊C4C2312yes—
387C22×C22⋊C4C2312yes—
388C22×C42C2312yes—
389C22×C42C2311yescharacteristic
390C22×C42C2312yes—
391#401C2314yes—
392#401C2312yes—
393#400C2314yes—
394#400C2314yes—
395#400C2312yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2312yes—
403#400C2314yes—
404#400C2312yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2312yes—
409#400C2312yes—
410#400C2312yes—
411#400C2312yes—
412#399C2314yes—
413#399C2314yes—
414#399C2314yes—
415#399C2314yes—
416#399C2314yes—
417#399C2314yes—
418#399C2312yes—
419#399C2312yes—
420#399C2314yes—
421#399C2314yes—
422#399C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2312yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2312yes—
443#398C2312yes—
444#397C2312yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2312yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2312yes—
462#397C2312yes—
463#397C2312yes—
464#397C2312yes—
465#397C2312yes—
466#397C2312yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2312yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2312yes—
479#396C2312yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#395C2314yes—
484#395C2314yes—
485#395C2312yes—
486#395C2314yes—
487#395C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2312yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2312yes—
501#394C2312yes—
502#394C2312yes—
503#393C2314yes—
504#393C2314yes—
505#393C2312yes—
506#393C2314yes—
507#393C2314yes—
508#393C2312yes—
509#393C2312yes—
510#392C2314yes—
511#391C2312yes—
512#391C2312yes—
513#391C2312yes—
514#391C2312yes—
515#391C2312yes—
516#391C2312yes—
517#391C2312yes—
518#391C2314yes—
519#391C2314yes—
520#391C2314yes—
521#391C2312yes—
522#391C2312yes—
523#391C2314yes—
524#391C2312yes—
525#391C2312yes—
526#391C2312yes—
527#391C2311yescharacteristic
528#391C2311yescharacteristic
529#391C2311yescharacteristic
530#391C2311yescharacteristic
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#390C2314yes—
535#390C2314yes—
536#390C2312yes—
537#390C2311yescharacteristic
538#390C2311yescharacteristic
539#390C2311yescharacteristic
540#390C2311yescharacteristic
541#390C2314yes—
542#390C2311yescharacteristic
543#390C2311yescharacteristic
544#390C2312yes—
545#390C2311yescharacteristic
546#390C2311yescharacteristic
547#390C2314yes—
548#389C2312yes—
549#389C2312yes—
550#389C2311yescharacteristic
551#389C2312yes—
552#389C2311yescharacteristic
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2314yes—
558#389C2312yes—
559#389C2314yes—
560#389C2312yes—
561#389C2312yes—
562#389C2311yescharacteristic
563#389C2312yes—
564#389C2312yes—
565#389C2314yes—
566#389C2314yes—
567#389C2314yes—
568#389C2314yes—
569#389C2314yes—
570#389C2311yescharacteristic
571#389C2311yescharacteristic
572#389C2311yescharacteristic
573#389C2312yes—
574#389C2312yes—
575#389C2314yes—
576#389C2311yescharacteristic
577#389C2312yes—
578#389C2311yescharacteristic
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2311yescharacteristic
586#389C2311yescharacteristic
587#389C2311yescharacteristic
588#389C2311yescharacteristic
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2312yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2312yes—
603#388C2312yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2312yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2312yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2312yes—
621#388C2312yes—
622#388C2312yes—
623#388C2312yes—
624#388C2312yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2312yes—
630#388C2312yes—
631#388C2312yes—
632#388C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2312yes—
641#387C2314yes—
642#387C2314yes—
643#387C2312yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2312yes—
653#387C2314yes—
654#387C2314yes—
655#387C2312yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2312yes—
660#387C2312yes—
661#387C2314yes—
662#387C2312yes—
663#386C2312yes—
664#386C2314yes—
665#386C2312yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2312yes—
672#386C2312yes—
673#386C2314yes—
674#386C2314yes—
675#386C2312yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2312yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2312yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2312yes—
690#385C2312yes—
691#385C2314yes—
692#385C2312yes—
693#384C2311yescharacteristic
694#384C2311yescharacteristic
695#384C2311yescharacteristic
696#384C2312yes—
697#384C2312yes—
698#384C2312yes—
699#384C2311yescharacteristic
700#384C2311yescharacteristic
701#384C2312yes—
702#384C2312yes—
703#384C2312yes—
704#384C2312yes—
705#384C2312yes—
706#383C2314yes—
707#383C2314yes—
708#382C2312yes—
709#382C2312yes—
710#382C2312yes—
711#382C2314yes—
712#382C2312yes—
713#382C2311yescharacteristic
714#382C2314yes—
715#381C2312yes—
716#381C2312yes—
717#381C2314yes—
718#381C2314yes—
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2314yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2311yescharacteristic
730#380C2311yescharacteristic
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2314yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2311yescharacteristic
740#380C2311yescharacteristic
741#380C2314yes—
742#380C2314yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#379C2314yes—
747#379C2312yes—
748#379C2312yes—
749#379C2314yes—
750#379C2314yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2314yes—
783C4×C4⋊C4C2314yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810#376C2312yes—
811#376C2311yescharacteristic
812#376C2314yes—
813#376C2311yescharacteristic
814C43C2311yescharacteristic
815C43C2311yescharacteristic
816C25C2412yes—
817C22×Q8C2411yescharacteristic
818C22×Q8C2412yes—
819C22×Q8C2412yes—
820C22×Q8C2414yes—
821C22×Q8C2412yes—
822C22×D4—24no—
823C22×D4—42no—
824C22×D4—42no—
825C22×D4C2411yescharacteristic
826C22×D4C2411yescharacteristic
827C22×D4C2411yescharacteristic
828C22×D4C2412yes—
829C22×D4C2412yes—
830C22×D4C2414yes—
831C22×D4C2414yes—
832C23×C4—28no—
833C23×C4—28no—
834C23×C4—44no—
835C23×C4C2412yes—
836C23×C4C2411yescharacteristic
837C23×C4C2412yes—
838C23×C4C2412yes—
839C23×C4C2412yes—
840C23×C4C2412yes—
841C23×C4C2412yes—
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C23×C4C2412yes—
845C23×C4C2412yes—
846C23×C4C2412yes—
847C23×C4C2412yes—
848C23×C4C2414yes—
849C4⋊Q8—24no—
850C4⋊Q8—24no—
851C4⋊Q8—24no—
852C4⋊Q8—28no—
853C4⋊Q8—44no—
854C4⋊Q8—82no—
855#126—216no—
856#126—48no—
857#126—84no—
858#125—44no—
859#125—44no—
860#125—84no—
861#124—28no—
862#124—216no—
863#124—24no—
864#124—44no—
865#124—48no—
866#123—48no—
867#123—84no—
868C22⋊Q8—28no—
869C22⋊Q8—24no—
870C22⋊Q8—48no—
871C22⋊Q8—44no—
872C22⋊Q8—44no—
873C22⋊Q8—44no—
874C22⋊Q8—48no—
875C22⋊Q8—48no—
876C22⋊Q8—44no—
877C22⋊Q8—84no—
878C22⋊Q8—82no—
879#121—28no—
880#121—28no—
881#121—24no—
882#121—44no—
883#121—44no—
884#120—84no—
885C4×Q8—28no—
886C4×Q8—24no—
887C4×Q8—44no—
888C4×Q8—44no—
889C4×Q8—44no—
890C4×Q8—48no—
891C4×Q8—48no—
892C4×Q8—44no—
893C4×Q8—82no—
894C4×D4—24no—
895C4×D4—28no—
896C4×D4—24no—
897C4×D4—28no—
898C4×D4—24no—
899C4×D4—24no—
900C4×D4—42no—
901C4×D4—42no—
902C4×D4—42no—
903C4×D4—42no—
904C4×D4—44no—
905C4×D4—44no—
906C4×D4—84no—
907C4×D4#4118yes—
908#117—28no—
909#117—28no—
910#117—24no—
911#117—28no—
912#117—24no—
913#117—28no—
914#117—44no—
915#117—44no—
916#117—44no—
917#117—44no—
918#117—44no—
919#117—44no—
920#117—44no—
921#117—44no—
922#117—44no—
923C2×C4⋊C4—24no—
924C2×C4⋊C4—44no—
925C2×C4⋊C4—44no—
926C2×C4⋊C4—44no—
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2411yescharacteristic
999C2×C22⋊C4—28no—
1000C2×C22⋊C4—44no—
1001C2×C22⋊C4—44no—
1002C2×C22⋊C4C2411yescharacteristic
1003C2×C22⋊C4C2411yescharacteristic
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2411yescharacteristic
1013C2×C22⋊C4C2411yescharacteristic
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C42—24no—
1061C2×C42—28no—
1062C2×C42—44no—
1063C2×C42C2411yescharacteristic
1064C2×C42C2412yes—
1065C2×C42C2411yescharacteristic
1066C2×C42C2412yes—
1067C2×C42C2412yes—
1068C2×C42C2414yes—
1069C2×C42C2412yes—
1070C2×C42C2412yes—
1071C2×C42C2414yes—
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2412yes—
1080C2×C42C2411yescharacteristic
1081C2×C42C2412yes—
1082C2×C42C2412yes—
1083C2×C42C2412yes—
1084C2×C42C2414yes—
1085C2×C42C2414yes—
1086C2×C42C2414yes—
1087C2×C42C2411yescharacteristic
1088C2×C42C2414yes—
1089C2×C42C2414yes—
1090C2×C42C2414yes—
1091C2×C42C2414yes—
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2411yescharacteristic
1095C2×C42C2411yescharacteristic
1096C2×C42C2411yescharacteristic
1097#95C2412yes—
1098#95C2412yes—
1099#95C2411yescharacteristic
1100#95C2411yescharacteristic
1101#95C2411yescharacteristic
1102#95C2411yescharacteristic
1103#95C2411yescharacteristic
1104#95C2411yescharacteristic
1105#95C2411yescharacteristic
1106#95C2411yescharacteristic
1107#95C2414yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2414yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169C24—24no—
1170C24—24no—
1171C24—42no—
1172C24—42no—
1173C24—42no—
1174C24—42no—
1175C24—42no—
1176C24C2512yes—
1177C24C2512yes—
1178C24C2512yes—
1179C24C2511yescharacteristic
1180C2×Q8—22no—
1181C2×Q8—24no—
1182C2×Q8—24no—
1183C2×Q8—22no—
1184C2×Q8—24no—
1185C2×Q8—28no—
1186C2×Q8—22no—
1187C2×Q8—24no—
1188C2×Q8—24no—
1189C2×Q8—42no—
1190C2×Q8—42no—
1191C2×Q8—42no—
1192C2×Q8—44no—
1193C2×Q8—44no—
1194C2×Q8—42no—
1195C2×D4—24no—
1196C2×D4—28no—
1197C2×D4—24no—
1198C2×D4—22no—
1199C2×D4—22no—
1200C2×D4—22no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—42no—
1207C2×D4—42no—
1208C2×D4—42no—
1209C2×D4—44no—
1210C2×D4—42no—
1211C2×D4—44no—
1212C2×D4—44no—
1213C2×D4—44no—
1214C2×D4—44no—
1215C2×D4—416no—
1216C2×D4C2×#4114yes—
1217C22×C4—22no—
1218C22×C4—24no—
1219C22×C4—22no—
1220C22×C4—24no—
1221C22×C4—24no—
1222C22×C4—24no—
1223C22×C4—22no—
1224C22×C4—24no—
1225C22×C4—24no—
1226C22×C4—24no—
1227C22×C4—24no—
1228C22×C4—24no—
1229C22×C4—24no—
1230C22×C4—24no—
1231C22×C4—24no—
1232C22×C4—24no—
1233C22×C4—24no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—24no—
1238C22×C4—24no—
1239C22×C4—42no—
1240C22×C4—42no—
1241C22×C4—42no—
1242C22×C4—432no—
1243C22×C4—42no—
1244C22×C4—42no—
1245C22×C4—42no—
1246C22×C4—42no—
1247C22×C4—42no—
1248C22×C4—42no—
1249C22×C4—42no—
1250C22×C4—41no—
1251C22×C4—42no—
1252C22×C4—41no—
1253C22×C4—42no—
1254C22×C4—42no—
1255C22×C4—44no—
1256C22×C4—44no—
1257C22×C4—44no—
1258C22×C4C2×#4118yes—
1259C22×C42−1+414yes—
1260C22×C4C2511yescharacteristic
1261C22×C4C2511yescharacteristic
1262C22×C4C2511yescharacteristic
1263C22×C4C2512yes—
1264C22×C4C2512yes—
1265C22×C4C2514yes—
1266C22×C4C2511yescharacteristic
1267C22×C4C2511yescharacteristic
1268C22×C4C2511yescharacteristic
1269C22×C4C2512yes—
1270C22×C4C2512yes—
1271C22×C4C2514yes—
1272C22×C4C2511yescharacteristic
1273C22×C4C2512yes—
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2512yes—
1277C22×C4C2512yes—
1278C22×C4C2512yes—
1279C22×C4C2512yes—
1280C22×C4C2511yescharacteristic
1281C22×C4C2514yes—
1282C22×C4C2514yes—
1283C22×C4C2512yes—
1284C22×C4C2512yes—
1285C22×C4C2511yescharacteristic
1286C22×C4C2511yescharacteristic
1287C22×C4C2511yescharacteristic
1288C22×C4C2511yescharacteristic
1289C22×C4C2511yescharacteristic
1290C22×C4C2511yescharacteristic
1291C4⋊C4—24no—
1292C4⋊C4—22no—
1293C4⋊C4—22no—
1294C4⋊C4—22no—
1295C4⋊C4—24no—
1296C4⋊C4—24no—
1297C4⋊C4—24no—
1298C4⋊C4—28no—
1299C4⋊C4—24no—
1300C4⋊C4—24no—
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—24no—
1304C4⋊C4—24no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—24no—
1308C4⋊C4—24no—
1309C4⋊C4—24no—
1310C4⋊C4—28no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—24no—
1316C4⋊C4—22no—
1317C4⋊C4—24no—
1318C4⋊C4—22no—
1319C4⋊C4—22no—
1320C4⋊C4—22no—
1321C4⋊C4—24no—
1322C4⋊C4—44no—
1323C4⋊C4—42no—
1324C4⋊C4—42no—
1325C4⋊C4—42no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—44no—
1329C4⋊C4—42no—
1330C4⋊C4—44no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—44no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—42no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—42no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—42no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—44no—
1360C4⋊C4—42no—
1361C4⋊C4—44no—
1362C4⋊C4C2×#4114yes—
1363C22⋊C4—24no—
1364C22⋊C4—28no—
1365C22⋊C4—28no—
1366C22⋊C4—28no—
1367C22⋊C4—22no—
1368C22⋊C4—22no—
1369C22⋊C4—24no—
1370C22⋊C4—24no—
1371C22⋊C4—24no—
1372C22⋊C4—28no—
1373C22⋊C4—24no—
1374C22⋊C4—22no—
1375C22⋊C4—22no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—24no—
1381C22⋊C4—42no—
1382C22⋊C4—42no—
1383C22⋊C4—42no—
1384C22⋊C4—42no—
1385C22⋊C4—42no—
1386C22⋊C4—42no—
1387C22⋊C4—42no—
1388C22⋊C4—42no—
1389C22⋊C4—42no—
1390C22⋊C4—44no—
1391C22⋊C4—42no—
1392C22⋊C4—42no—
1393C22⋊C4—42no—
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—44no—
1403C22⋊C4—42no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—42no—
1420C22⋊C4C2×#4118yes—
1421C42—22no—
1422C42—22no—
1423C42—22no—
1424C42—28no—
1425C42—28no—
1426C42—24no—
1427C42—24no—
1428C42—24no—
1429C42—24no—
1430C42—22no—
1431C42—24no—
1432C42—22no—
1433C42—22no—
1434C42—22no—
1435C42—24no—
1436C42—22no—
1437C42—22no—
1438C42—24no—
1439C42—22no—
1440C42—42no—
1441C42—42no—
1442C42—41no—
1443C42—41no—
1444C42—44no—
1445C42—44no—
1446C42—44no—
1447C42—44no—
1448C42—44no—
1449C42—44no—
1450C42—41no—
1451C42—44no—
1452C42—41no—
1453C42C2×#4114yes—
1454C42H(5,𝔽2)14yes—
1455C23—21no—
1456C23—21no—
1457C23—22no—
1458C23—22no—
1459C23—21no—
1460C23—21no—
1461C23—22no—
1462C23—22no—
1463C23—22no—
1464C23—21no—
1465C23—21no—
1466C23—22no—
1467C23—22no—
1468C23—22no—
1469C23—22no—
1470C23—22no—
1471C23—22no—
1472C23—22no—
1473C23—22no—
1474C23—22no—
1475C23—22no—
1476C23—22no—
1477C23—22no—
1478C23—22no—
1479C23—22no—
1480C23—22no—
1481C23—48no—
1482C23—48no—
1483C23—84no—
1484C23—84no—
1485C23—84no—
1486C23—84no—
1487C23—84no—
1488C23C22×#4114yes—
1489C23C2×2−1+412yes—
1490C23C2611yescharacteristic
1491Q8—48no—
1492Q8—48no—
1493Q8—44no—
1494Q8—84no—
1495Q8—88no—
1496D4—28no—
1497D4—48no—
1498D4—44no—
1499D4—44no—
1500D4—88no—
1501D4—84no—
1502D4—164no—
1503C2×C4—21no—
1504C2×C4—22no—
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—28no—
1514C2×C4—216no—
1515C2×C4—22no—
1516C2×C4—21no—
1517C2×C4—22no—
1518C2×C4—21no—
1519C2×C4—22no—
1520C2×C4—24no—
1521C2×C4—24no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—24no—
1533C2×C4—24no—
1534C2×C4—22no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—21no—
1544C2×C4—22no—
1545C2×C4—21no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—22no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—22no—
1554C2×C4—24no—
1555C2×C4—24no—
1556C2×C4—24no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—21no—
1561C2×C4—24no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—22no—
1567C2×C4—24no—
1568C2×C4—22no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—24no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—24no—
1575C2×C4—22no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—21no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—24no—
1587C2×C4—48no—
1588C2×C4—48no—
1589C2×C4—48no—
1590C2×C4—48no—
1591C2×C4—44no—
1592C2×C4—48no—
1593C2×C4—82no—
1594C2×C4—84no—
1595C2×C4—84no—
1596C2×C4—84no—
1597C2×C4—84no—
1598C2×C4—164no—
1599C2×C4C22×#4114yes—
1600C2×C4C22×#4112yes—
1601C2×C4C22×#4112yes—
1602C2×C4C22×#4112yes—
1603C2×C4C2×H(5,𝔽2)12yes—
1604C2×C4C2×H(5,𝔽2)12yes—
1605C2×C4C2×H(5,𝔽2)12yes—
1606C2×C4C2×2−1+412yes—
1607C2×C4C2×2−1+412yes—
1608C2×C4#58512yes—
1609C2×C4#58512yes—
1610C22—22no—
1611C22—24no—
1612C22—24no—
1613C22—22no—
1614C22—24no—
1615C22—22no—
1616C22—41no—
1617C22—42no—
1618C22—41no—
1619C22—42no—
1620C22—41no—
1621C22—42no—
1622C22—41no—
1623C22—42no—
1624C22—42no—
1625C22—42no—
1626C22—42no—
1627C22—42no—
1628C22—42no—
1629C22—42no—
1630C22—42no—
1631C22—42no—
1632C22—42no—
1633C22—42no—
1634C22—42no—
1635C22—42no—
1636C22—42no—
1637C22—42no—
1638C22—816no—
1639C22C23×#4111yescharacteristic
1640C22C22×H(5,𝔽2)11yescharacteristic
1641C22C22×2−1+411yescharacteristic
1642C22C2×#58511yescharacteristic
1643C22C2×#58511yescharacteristic
1644C22H(7,𝔽2)11yescharacteristic
1645C222−1+611yescharacteristic
1646C4—22no—
1647C4—24no—
1648C4—22no—
1649C4—22no—
1650C4—22no—
1651C4—42no—
1652C4—42no—
1653C4—42no—
1654C4—41no—
1655C4—44no—
1656C4—42no—
1657C4—42no—
1658C4—41no—
1659C4—42no—
1660C4—42no—
1661C4—41no—
1662C4—41no—
1663C4—42no—
1664C4—42no—
1665C4—42no—
1666C4—41no—
1667C4—44no—
1668C4—42no—
1669C4—41no—
1670C4—42no—
1671C4—44no—
1672C4—44no—
1673C4—41no—
1674C4—41no—
1675C4#345514yes—
1676C4#352014yes—
1677C2—44no—
1678C2—42no—
1679C2—82no—
1680C2—82no—
1681C2C2×#345511yescharacteristic
1682C2C2×#352011yescharacteristic
1683C2#6285711yescharacteristic
1684C2#6292511yescharacteristic
1685C2#6292911yescharacteristic
1686C2#6295511yescharacteristic
1687C2#6295911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#36160C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42642C2semidirect
2. #42631C2semidirect
3. #42559C2semidirect
4. #42535C2semidirect
5. #40910C2semidirect
6. #40906C2semidirect
7. #40900C2semidirect
8. #40896C2semidirect
9. #39607C2semidirect
10. #39606C2semidirect
11. #39515C2semidirect
12. #39377C2semidirect
13. #37887C2semidirect
14. #37857C2semidirect
15. #37856C2semidirect
16. #37711C2semidirect
17. #37637C2semidirect
18. #37627C2semidirect
19. #37510C2semidirect
20. #37508C2semidirect
21. #36185C2semidirect
22. #36161C2semidirect
24. #36134C2semidirect
25. #35993C2semidirect
26. #35945C2semidirect
27. #35895C2semidirect
28. #35745C2semidirect
29. #35283C2semidirect
30. #35260C2semidirect
31. #34634C2semidirect
32. #34619C2semidirect
33. #34324C2semidirect
34. #34321C2semidirect
35. D4×#117C2semidirect
38. C2×#542C22semidirect
39. C2×#533C22semidirect
42. #2868C22semidirect
43. #2862C22semidirect
46. #2857C22semidirect
47. #2850C22semidirect
50. #2837C22semidirect
51. #2834C22semidirect
52. #2831C22semidirect
54. #2827C22semidirect
56. #2798C22semidirect
57. #2768C22semidirect
58. #2759C22semidirect
59. #2755C22semidirect
61. #2747C22semidirect
62. #2746C22semidirect
63. #2744C22semidirect
65. #2740C22semidirect
66. #2738C22semidirect
70. #2728C22semidirect
71. #2723C22semidirect
72. #2718C22semidirect
77. #2690C22semidirect
79. #2674C22semidirect
80. #2655C22semidirect
81. #2654C22semidirect
82. #2654C22semidirect
83. #2654C22semidirect
85. #2652C22semidirect
86. #2651C22semidirect
87. #2651C22semidirect
88. #2650C22semidirect
91. #2647C22semidirect
92. #2647C22semidirect
93. #2647C22semidirect
94. #2645C22semidirect
96. #2644C22semidirect
97. #2640C22semidirect
98. #2637C22semidirect
99. #2633C22semidirect
103. #2629C22semidirect
104. #2629C22semidirect
107. #2628C22semidirect
108. #2628C22semidirect
109. #2627C22semidirect
110. #2627C22semidirect
114. #2625C22semidirect
115. #2625C22semidirect
117. #2624C22semidirect
120. #2594C22semidirect
122. #2590C22semidirect
123. #2581C22semidirect
124. #2577C22semidirect
125. #2577C22semidirect
128. #2567C22semidirect
130. #2558C22semidirect
131. #2553C22semidirect
132. #2552C22semidirect
133. #2552C22semidirect
134. #2552C22semidirect
137. #2542C22semidirect
142. #2533C22semidirect
143. #2532C22semidirect
144. #2531C22semidirect
146. #2522C22semidirect
147. #2521C22semidirect
148. #2521C22semidirect
149. #2520C22semidirect
150. #2519C22semidirect
152. #2514C22semidirect
154. #2511C22semidirect
155. #2511C22semidirect
156. #2508C22semidirect
157. #2507C22semidirect
158. #2507C22semidirect
159. #2506C22semidirect
160. #2502C22semidirect
162. #2500C22semidirect
163. #2499C22semidirect
166. #2497C22semidirect
167. #2496C22semidirect
168. #2496C22semidirect
169. #2495C22semidirect
170. #2494C22semidirect
174. #2490C22semidirect
175. #2489C22semidirect
178. #2481C22semidirect
182. #2474C22semidirect
185. #2470C22semidirect
186. #2469C22semidirect
189. #2458C22semidirect
190. #2454C22semidirect
191. #2453C22semidirect
192. #2451C22semidirect
193. #2451C22semidirect
194. #2449C22semidirect
196. #2448C22semidirect
198. #2441C22semidirect
199. #2441C22semidirect
200. #2440C22semidirect
202. #2429C22semidirect
208. #2423C22semidirect
209. #2423C22semidirect
210. #2423C22semidirect
211. #2423C22semidirect
212. #2422C22semidirect
213. #2421C22semidirect
220. #2401C22semidirect
224. #2396C22semidirect
225. #2396C22semidirect
226. #2396C22semidirect
228. #2373C22semidirect
229. #2369C22semidirect
232. #2367C22semidirect
233. #2365C22semidirect
234. #2365C22semidirect
236. #2363C22semidirect
237. #2362C22semidirect
238. #2362C22semidirect
239. #2362C22semidirect
242. #2355C22semidirect
250. Q8×C4⋊C4C22semidirect
251. Q8×C4⋊C4C22semidirect
254. D4×C4⋊C4C22semidirect
255. #2347C22semidirect
256. #2347C22semidirect
257. #2346C22semidirect
264. #2337C22semidirect
265. #2334C22semidirect
266. #2331C22semidirect
272. #2314C22semidirect
273. C4×C4⋊Q8C22semidirect
274. C4×C4⋊Q8C22semidirect
275. C4×C4⋊Q8C22semidirect
276. C4×#124C22semidirect
278. C4×C22⋊Q8C22semidirect
280. C4×#121C22semidirect
281. #2296C22semidirect
282. #2296C22semidirect
283. #2295C22semidirect
286. #2293C22semidirect
290. #2285C22semidirect
294. #2276C22semidirect
295. #2274C22semidirect

Maximal subgroups

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

subgroupindex
#426422
#426312
#425592
#425352
#409102
#409062
#409002
#408962
#396072
#396062
#395152
#393772
#378872
#378572
#378562
#377112
#376372
#376272
#375102
#375082
#361852
#361612
#361602
#361342
#359932
#359452
#358952
#357452
#352832
#352602
#346342
#346192
#343242
#343212
D4×#1172