Finite Group Databasebeta

← #7671710

Subgroups — #7671710

Order 512.

5280 conjugacy classes of subgroups.

The subgroup lattice has 1730 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59605C214yesmaximal, complemented
2#59594C214yesmaximal, complemented
3#59556C212yesmaximal, complemented
4#59488C212yesmaximal, complemented
5#59120C212yesmaximal, complemented
6#59103C212yesmaximal, complemented
7#39056C212yesmaximal, complemented
8#39046C212yesmaximal, complemented
9#38987C211yesmaximal, characteristic, complemented
10#38977C211yesmaximal, characteristic, complemented
11#38966C211yesmaximal, characteristic, complemented
12#38957C211yesmaximal, characteristic, complemented
13#38653C214yesmaximal, complemented
14#38633C214yesmaximal, complemented
15#36631C211yesmaximal, characteristic, complemented
16#36405C211yesmaximal, characteristic, complemented
17#36402C212yesmaximal, complemented
18#36391C212yesmaximal, complemented
19#36386C212yesmaximal, complemented
20#36315C212yesmaximal, complemented
21#36302C211yesmaximal, characteristic, complemented
22#36293C212yesmaximal, complemented
23#36293C212yesmaximal, complemented
24#36272C211yesmaximal, characteristic, complemented
25#36258C211yesmaximal, characteristic
26#35588C212yesmaximal, complemented
27#35523C212yesmaximal, complemented
28#35300C212yesmaximal, complemented
29#35186C211yesmaximal, characteristic, complemented
30#35176C211yesmaximal, characteristic, complemented
31#34322C211yesmaximal, characteristic, complemented
32#34310C211yesmaximal, characteristic, complemented
33#34255C212yesmaximal, complemented
34C4×#529C211yesmaximal, characteristic, complemented
35#34026C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#552C2212yescomplemented
38C2×#546C2212yes—
39C2×D42C2211yescharacteristic
40C2×#529C2211yescharacteristic
41C2×#529C2212yescomplemented
42C2×#518C2212yes—
43C2×C4×#41C2211yescharacteristic
44#2861C2212yescomplemented
45#2861C2212yescomplemented
46#2861C2212yescomplemented
47#2860C2212yescomplemented
48#2860C2212yescomplemented
49#2860C2212yescomplemented
50#2859C2211yescharacteristic, complemented
51#2859C2212yescomplemented
52#2858C2211yescharacteristic
53#2857C2211yescharacteristic, complemented
54#2857C2212yescomplemented
55#2856C2211yescharacteristic
56#2855C2212yescomplemented
57#2855C2212yescomplemented
58#2854C2212yes—
59#2854C2212yescomplemented
60#2854C2212yescomplemented
61#2850C2212yescomplemented
62#2790C2214yescomplemented
63#2786C2214yescomplemented
64#2772C2214yescomplemented
65#2768C2214yescomplemented
66#2765C2214yescomplemented
67#2761C2214yescomplemented
68#2746C2214yescomplemented
69#2740C2214yescomplemented
70#2739C2214yescomplemented
71#2735C2214yescomplemented
72#2718C2214yescomplemented
73#2708C2214yescomplemented
74#2706C2214yescomplemented
75#2697C2214yescomplemented
76#2685C2214yes—
77#2685C2214yes—
78#2667C2214yescomplemented
79#2651C2214yescomplemented
80#2645C2212yescomplemented
81#2644C2212yescomplemented
82#2629C2212yescomplemented
83#2620C2212yes—
84#2611C2214yescomplemented
85#2609C2214yescomplemented
86#2603C2214yescomplemented
87#2600C2214yescomplemented
88#2597C2214yescomplemented
89#2597C2214yescomplemented
90#2595C2214yescomplemented
91#2594C2214yescomplemented
92#2587C2214yescomplemented
93#2582C2211yescharacteristic, complemented
94#2578C2214yescomplemented
95#2576C2214yescomplemented
96#2576C2214yescomplemented
97#2573C2214yescomplemented
98#2566C2212yes—
99#2559C2214yescomplemented
100#2559C2214yescomplemented
101#2558C2214yescomplemented
102#2558C2214yescomplemented
103#2553C2214yescomplemented
104#2553C2214yescomplemented
105#2552C2211yescharacteristic, complemented
106#2552C2211yescharacteristic, complemented
107#2552C2212yescomplemented
108#2548C2211yescharacteristic
109#2548C2211yescharacteristic
110#2547C2212yescomplemented
111#2546C2211yescharacteristic, complemented
112#2545C2212yescomplemented
113#2542C2211yescharacteristic
114#2538C2211yescharacteristic
115#2534C2214yescomplemented
116#2534C2214yescomplemented
117#2531C2214yescomplemented
118#2531C2214yescomplemented
119#2531C2214yescomplemented
120#2531C2214yescomplemented
121#2529C2214yescomplemented
122#2529C2214yescomplemented
123#2529C2214yescomplemented
124#2526C2214yescomplemented
125#2526C2214yescomplemented
126#2522C2214yescomplemented
127#2519C2214yescomplemented
128#2513C2212yescomplemented
129#2513C2212yescomplemented
130#2512C2212yescomplemented
131#2508C2212yescomplemented
132#2508C2212yescomplemented
133#2507C2212yescomplemented
134#2503C2212yescomplemented
135#2500C2212yes—
136#2500C2212yescomplemented
137#2497C2214yescomplemented
138#2496C2212yescomplemented
139#2494C2212yescomplemented
140#2490C2212yescomplemented
141#2489C2212yescomplemented
142#2489C2212yescomplemented
143#2485C2212yescomplemented
144#2485C2214yescomplemented
145#2482C2214yescomplemented
146#2482C2214yescomplemented
147#2480C2214yescomplemented
148#2480C2214yescomplemented
149#2480C2214yescomplemented
150#2479C2214yescomplemented
151#2479C2214yescomplemented
152#2478C2214yescomplemented
153#2476C2214yescomplemented
154#2475C2214yescomplemented
155#2470C2214yescomplemented
156#2468C2214yescomplemented
157#2468C2214yescomplemented
158#2468C2214yescomplemented
159#2466C2214yescomplemented
160#2455C2214yescomplemented
161#2454C2212yes—
162#2454C2212yes—
163#2454C2212yescomplemented
164#2454C2212yescomplemented
165#2448C2212yescomplemented
166#2448C2212yescomplemented
167#2447C2212yes—
168#2447C2212yes—
169#2447C2212yescomplemented
170#2447C2212yescomplemented
171#2442C2212yescomplemented
172#2442C2212yescomplemented
173#2441C2212yescomplemented
174#2435C2212yes—
175#2435C2212yes—
176#2435C2212yes—
177#2432C2212yes—
178#2429C2212yescomplemented
179#2427C2212yescomplemented
180#2426C2212yes—
181#2426C2212yes—
182#2426C2212yes—
183#2424C2214yes—
184#2423C2212yescomplemented
185#2422C2212yes—
186#2420C2214yescomplemented
187#2418C2214yescomplemented
188#2416C2212yes—
189#2415C2212yescomplemented
190#2415C2212yescomplemented
191#2414C2212yes—
192#2411C2214yes—
193#2408C2212yes—
194#2373C2214yescomplemented
195#2373C2214yescomplemented
196#2367C2212yes—
197#2366C2211yescharacteristic
198#2365C2211yescharacteristic, complemented
199#2365C2212yescomplemented
200#2363C2212yes—
201#2363C2212yescomplemented
202#2362C2212yescomplemented
203#2361C2212yes—
204#2360C2212yescomplemented
205#2360C2212yescomplemented
206#2358C2214yes—
207#2357C2214yescomplemented
208#2357C2214yescomplemented
209#2355C2211yescharacteristic, complemented
210#2354C2211yescharacteristic
211#2354C2212yescomplemented
212#2354C2214yescomplemented
213#2354C2214yescomplemented
214#2351C2212yescomplemented
215D4×C4⋊C4C2211yescharacteristic
216D4×C4⋊C4C2211yescharacteristic
217#2346C2212yescomplemented
218#2346C2214yescomplemented
219#2342C2214yescomplemented
220#2342C2214yescomplemented
221#2342C2214yescomplemented
222#2342C2214yescomplemented
223#2342C2214yescomplemented
224#2342C2214yescomplemented
225D4×C22⋊C4C2212yes—
226D4×C22⋊C4C2212yes—
227D4×C22⋊C4C2212yes—
228#2334C2214yescomplemented
229#2330C2212yescomplemented
230#2326C2212yescomplemented
231#2324C2212yes—
232#2323C2212yescomplemented
233#2321C2214yes—
234#2319C2212yes—
235#2319C2212yes—
236#2319C2212yescomplemented
237#2319C2212yescomplemented
238#2317C2212yescomplemented
239#2309C2212yes—
240C4×C4⋊Q8C2211yescharacteristic, complemented
241C4×#127C2211yescharacteristic
242C4×#125C2211yescharacteristic, complemented
243C4×#125C2211yescharacteristic, complemented
244C4×#126C2212yescomplemented
245C4×#126C2212yescomplemented
246C4×#124C2212yes—
247C4×#124C2211yescharacteristic
248C4×#124C2211yescharacteristic
249C4×#124C2212yescomplemented
250C4×C22⋊Q8C2211yescharacteristic, complemented
251C4×C22⋊Q8C2211yescharacteristic, complemented
252C4×#123C2212yescomplemented
253C4×#123C2212yescomplemented
254C4×#121C2212yes—
255C4×#121C2211yescharacteristic
256C4×#121C2211yescharacteristic
257C4×#121C2212yescomplemented
258C4×#121C2212yescomplemented
259#2298C2212yescomplemented
260#2298C2212yescomplemented
261#2298C2212yescomplemented
262#2297C2211yescharacteristic
263#2297C2211yescharacteristic
264#2296C2212yescomplemented
265#2296C2211yescharacteristic, complemented
266#2296C2211yescharacteristic, complemented
267#2295C2212yescomplemented
268#2295C2211yescharacteristic, complemented
269#2295C2211yescharacteristic, complemented
270#2295C2211yescharacteristic, complemented
271#2295C2211yescharacteristic, complemented
272#2295C2211yescharacteristic, complemented
273#2293C2211yescharacteristic
274#2293C2211yescharacteristic
275#2293C2211yescharacteristic
276#2293C2212yes—
277#2293C2211yescharacteristic
278#2293C2211yescharacteristic
279#2293C2212yescomplemented
280#2293C2212yescomplemented
281#2293C2212yescomplemented
282C2×#390C2212yes—
283C2×#390C2212yes—
284#2290C2212yescomplemented
285#2290C2212yescomplemented
286#2290C2212yescomplemented
287#2290C2212yescomplemented
288#2290C2212yescomplemented
289#2283C2211yescharacteristic, complemented
290#2274C2212yescomplemented
291C42×Q8C2211yescharacteristic, complemented
292C42×D4C2211yescharacteristic
293C42×D4C2212yescomplemented
294C4×#117C2212yescomplemented
295C4×#117C2211yescharacteristic, complemented
296C4×#117C2212yescomplemented
297C4×#117C2212yescomplemented
298C2×C43C2211yescharacteristic, complemented
299C22×#41C2311yescharacteristic
300C23×D4C2312yes—
301C23×D4C2312yes—
302#556—28no—
303#552—48no—
304#546—48no—
305D42—28no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×#127C2311yescharacteristic
309#529—28no—
310#529—48no—
311C2×#126C2312yes—
312C2×#126C2314yes—
313C2×#126C2314yes—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#125C2311yescharacteristic
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2314yes—
321C2×#124C2312yes—
322C2×#124C2311yescharacteristic
323C2×#124C2312yes—
324C2×#124C2312yes—
325C2×#124C2312yes—
326C2×#124C2312yes—
327C2×#123C2312yes—
328C2×#123C2314yes—
329C2×#123C2314yes—
330C2×#123C2314yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2311yescharacteristic
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×#121C2312yes—
338C2×#121C2312yes—
339C2×#121C2312yes—
340C2×#121C2311yescharacteristic
341C2×#121C2312yes—
342C2×#121C2312yes—
343C2×#121C2314yes—
344C2×#120C2314yes—
345C2×#120C2314yes—
346#518—216no—
347C4×#41—28no—
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2311yescharacteristic
356C2×C4×D4C2312yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2314yes—
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2312yes—
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2314yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2314yes—
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2311yescharacteristic
376C2×#117C2312yes—
377C2×#117C2312yes—
378C2×#117C2312yes—
379C2×#117C2311yescharacteristic
380C2×#117C2312yes—
381C2×#117C2312yes—
382C2×#117C2311yescharacteristic
383C2×#117C2312yes—
384C2×#117C2312yes—
385C2×#117C2314yes—
386C2×#117C2312yes—
387C2×#117C2314yes—
388C2×#117C2314yes—
389C2×#117C2312yes—
390C2×#117C2311yescharacteristic
391C22×C4⋊C4C2312yes—
392C22×C4⋊C4C2312yes—
393C22×C22⋊C4C2314yes—
394C22×C22⋊C4C2314yes—
395C22×C22⋊C4C2314yes—
396C22×C22⋊C4C2314yes—
397C22×C22⋊C4C2314yes—
398C22×C42C2312yes—
399C22×C42C2311yescharacteristic
400C22×C42C2311yescharacteristic
401C22×C42C2311yescharacteristic
402C22×C42C2311yescharacteristic
403C22×C42C2311yescharacteristic
404C22×C42C2311yescharacteristic
405C22×C42C2312yes—
406C22×C42C2311yescharacteristic
407#401C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#399C2314yes—
415#399C2314yes—
416#399C2314yes—
417#399C2314yes—
418#399C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#392C2314yes—
471#391C2312yes—
472#391C2312yes—
473#391C2312yes—
474#391C2312yes—
475#391C2311yescharacteristic
476#391C2312yes—
477#391C2311yescharacteristic
478#391C2312yes—
479#391C2311yescharacteristic
480#391C2312yes—
481#391C2311yescharacteristic
482#391C2311yescharacteristic
483#391C2311yescharacteristic
484#390C2312yes—
485#390C2312yes—
486#390C2312yes—
487#390C2311yescharacteristic
488#390C2312yes—
489#390C2312yes—
490#390C2312yes—
491#390C2314yes—
492#390C2314yes—
493#390C2311yescharacteristic
494#390C2312yes—
495#390C2312yes—
496#390C2312yes—
497#390C2314yes—
498#390C2312yes—
499#390C2312yes—
500#390C2311yescharacteristic
501#390C2312yes—
502#390C2312yes—
503#390C2314yes—
504#390C2314yes—
505#390C2314yes—
506#390C2312yes—
507#390C2312yes—
508#390C2312yes—
509#390C2312yes—
510#390C2312yes—
511#390C2312yes—
512#390C2312yes—
513#390C2314yes—
514#390C2312yes—
515#390C2311yescharacteristic
516#390C2311yescharacteristic
517#390C2311yescharacteristic
518#389C2311yescharacteristic
519#389C2311yescharacteristic
520#389C2311yescharacteristic
521#389C2311yescharacteristic
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2314yes—
528#389C2312yes—
529#389C2312yes—
530#389C2314yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2314yes—
537#389C2314yes—
538#389C2314yes—
539#389C2314yes—
540#389C2312yes—
541#389C2311yescharacteristic
542#389C2312yes—
543#389C2312yes—
544#389C2314yes—
545#389C2312yes—
546#389C2314yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2311yescharacteristic
552#389C2314yes—
553#389C2311yescharacteristic
554#389C2311yescharacteristic
555#389C2311yescharacteristic
556#389C2311yescharacteristic
557#389C2311yescharacteristic
558#389C2311yescharacteristic
559#388C2312yes—
560#388C2312yes—
561#388C2312yes—
562#388C2312yes—
563#388C2312yes—
564#388C2312yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2312yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2312yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2312yes—
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#388C2314yes—
613#388C2312yes—
614#388C2312yes—
615#388C2312yes—
616#388C2312yes—
617#388C2312yes—
618#388C2312yes—
619#388C2312yes—
620#387C2312yes—
621#387C2312yes—
622#387C2312yes—
623#387C2312yes—
624#387C2312yes—
625#387C2312yes—
626#387C2312yes—
627#387C2312yes—
628#387C2312yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2312yes—
643#387C2312yes—
644#387C2312yes—
645#387C2312yes—
646#387C2312yes—
647#387C2312yes—
648#387C2312yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2312yes—
660#386C2312yes—
661#386C2312yes—
662#386C2312yes—
663#386C2312yes—
664#386C2312yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2312yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2312yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2312yes—
684#385C2312yes—
685#385C2312yes—
686#385C2312yes—
687#384C2311yescharacteristic
688#384C2311yescharacteristic
689#384C2312yes—
690#384C2314yes—
691#384C2312yes—
692#384C2312yes—
693#383C2312yes—
694#382C2311yescharacteristic
695#382C2311yescharacteristic
696#382C2312yes—
697#382C2314yes—
698#382C2314yes—
699#382C2314yes—
700#382C2314yes—
701#382C2312yes—
702#381C2314yes—
703#381C2314yes—
704#381C2314yes—
705#381C2314yes—
706#381C2314yes—
707#381C2314yes—
708#381C2312yes—
709#380C2314yes—
710#380C2314yes—
711#380C2314yes—
712#380C2314yes—
713#380C2312yes—
714#380C2312yes—
715#380C2312yes—
716#380C2312yes—
717#380C2314yes—
718#380C2314yes—
719#380C2312yes—
720#380C2312yes—
721#380C2314yes—
722#380C2314yes—
723#380C2311yescharacteristic
724#380C2311yescharacteristic
725#379C2314yes—
726#379C2314yes—
727#379C2314yes—
728#379C2314yes—
729#379C2314yes—
730#379C2314yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2311yescharacteristic
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C22⋊C4C2312yes—
770C4×C22⋊C4C2312yes—
771C4×C22⋊C4C2312yes—
772C4×C22⋊C4C2312yes—
773C4×C22⋊C4C2312yes—
774C4×C22⋊C4C2312yes—
775C4×C22⋊C4C2314yes—
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800#376C2312yes—
801#376C2312yes—
802#376C2314yes—
803#376C2312yes—
804#376C2312yes—
805#376C2312yes—
806#376C2312yes—
807#376C2312yes—
808C43C2311yescharacteristic
809C43C2311yescharacteristic
810C43C2311yescharacteristic
811C43C2311yescharacteristic
812C43C2311yescharacteristic
813C43C2312yes—
814C43C2311yescharacteristic
815C43C2312yes—
816C43C2311yescharacteristic
817C43C2311yescharacteristic
818C25C2414yes—
819C2×#41—24no—
820C2×#41—24no—
821C2×#41—42no—
822C22×Q8C2412yes—
823C22×Q8C2411yescharacteristic
824C22×Q8C2411yescharacteristic
825C22×D4—28no—
826C22×D4—28no—
827C22×D4—28no—
828C22×D4—44no—
829C22×D4—44no—
830C22×D4—44no—
831C22×D4C2412yes—
832C22×D4C2412yes—
833C22×D4C2412yes—
834C22×D4C2412yes—
835C22×D4C2414yes—
836C22×D4C2411yescharacteristic
837C22×D4C2411yescharacteristic
838C22×D4C2412yes—
839C22×D4C2414yes—
840C22×D4C2414yes—
841C23×C4C2412yes—
842C23×C4C2411yescharacteristic
843C23×C4C2412yes—
844C23×C4C2412yes—
845C23×C4C2411yescharacteristic
846C23×C4C2411yescharacteristic
847C23×C4C2412yes—
848C23×C4C2411yescharacteristic
849C23×C4C2414yes—
850C23×C4C2412yes—
851C23×C4C2414yes—
852C23×C4C2414yes—
853C23×C4C2411yescharacteristic
854C23×C4C2411yescharacteristic
855C23×C4C2411yescharacteristic
856C23×C4C2414yes—
857C23×C4C2412yes—
858C4⋊Q8—24no—
859C4⋊Q8—44no—
860#127—24no—
861#126—28no—
862#126—216no—
863#126—48no—
864#126—48no—
865#126—48no—
866#125—24no—
867#125—44no—
868#125—44no—
869#125—48no—
870#125—44no—
871#124—24no—
872#124—28no—
873#124—44no—
874#124—44no—
875#124—44no—
876#124—44no—
877#123—28no—
878#123—48no—
879#123—48no—
880#123—48no—
881C22⋊Q8—28no—
882C22⋊Q8—28no—
883C22⋊Q8—24no—
884C22⋊Q8—44no—
885C22⋊Q8—44no—
886C22⋊Q8—44no—
887#121—24no—
888#121—28no—
889#121—28no—
890#121—28no—
891#121—44no—
892#121—48no—
893#121—44no—
894#120—216no—
895#120—48no—
896C4×Q8—24no—
897C4×Q8—28no—
898C4×Q8—24no—
899C4×Q8—24no—
900C4×Q8—24no—
901C4×Q8—42no—
902C4×Q8—44no—
903C4×Q8—44no—
904C4×D4—24no—
905C4×D4—28no—
906C4×D4—28no—
907C4×D4—216no—
908C4×D4—28no—
909C4×D4—28no—
910C4×D4—28no—
911C4×D4—28no—
912C4×D4—216no—
913C4×D4—28no—
914C4×D4—24no—
915C4×D4—44no—
916C4×D4—42no—
917C4×D4—44no—
918C4×D4—44no—
919C4×D4—44no—
920C4×D4—44no—
921C4×D4—48no—
922C4×D4#4118yes—
923C4×D4#4118yescomplemented
924#117—28no—
925#117—28no—
926#117—24no—
927#117—24no—
928#117—28no—
929#117—28no—
930#117—28no—
931#117—44no—
932#117—44no—
933#117—44no—
934#117—44no—
935#117—48no—
936#117—48no—
937#117—48no—
938#117—42no—
939C2×C4⋊C4—44no—
940C2×C4⋊C4—44no—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C22⋊C4—216no—
1002C2×C22⋊C4—216no—
1003C2×C22⋊C4—48no—
1004C2×C22⋊C4—48no—
1005C2×C22⋊C4—48no—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C42—28no—
1066C2×C42—24no—
1067C2×C42—24no—
1068C2×C42—24no—
1069C2×C42—44no—
1070C2×C42—42no—
1071C2×C42—42no—
1072C2×C42—42no—
1073C2×C42—42no—
1074C2×C42C2411yescharacteristic
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083C2×C42C2412yes—
1084C2×C42C2412yes—
1085C2×C42C2414yes—
1086C2×C42C2412yes—
1087C2×C42C2414yes—
1088C2×C42C2412yes—
1089C2×C42C2411yescharacteristic
1090C2×C42C2412yes—
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2412yes—
1095C2×C42C2412yes—
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099C2×C42C2411yescharacteristic
1100C2×C42C2411yescharacteristic
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104C2×C42C2411yescharacteristic
1105C2×C42C2411yescharacteristic
1106C2×C42C2414yes—
1107C2×C42C2414yes—
1108C2×C42C2412yes—
1109C2×C42C2412yes—
1110C2×C42C2412yes—
1111C2×C42C2414yes—
1112C2×C42C2412yes—
1113C2×C42C2411yescharacteristic
1114C2×C42C2411yescharacteristic
1115C2×C42C2411yescharacteristic
1116C2×C42C2411yescharacteristic
1117C2×C42C2411yescharacteristic
1118C2×C42C2411yescharacteristic
1119C2×C42C2411yescharacteristic
1120C2×C42C2411yescharacteristic
1121C2×C42C2412yes—
1122C2×C42C2412yes—
1123C2×C42C2411yescharacteristic
1124C2×C42C2411yescharacteristic
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187C24—28no—
1188C24—28no—
1189C24—44no—
1190C24—44no—
1191C24—44no—
1192C24—44no—
1193C24—44no—
1194C24C2514yes—
1195C24C2512yes—
1196C24C2512yes—
1197C24C2511yescharacteristic
1198#41—416no—
1199C2×Q8—22no—
1200C2×Q8—22no—
1201C2×Q8—22no—
1202C2×Q8—24no—
1203C2×Q8—24no—
1204C2×Q8—22no—
1205C2×Q8—22no—
1206C2×Q8—24no—
1207C2×Q8—22no—
1208C2×D4—28no—
1209C2×D4—24no—
1210C2×D4—24no—
1211C2×D4—24no—
1212C2×D4—24no—
1213C2×D4—28no—
1214C2×D4—28no—
1215C2×D4—22no—
1216C2×D4—24no—
1217C2×D4—28no—
1218C2×D4—24no—
1219C2×D4—24no—
1220C2×D4—24no—
1221C2×D4—22no—
1222C2×D4—24no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—24no—
1226C2×D4—24no—
1227C2×D4—432no—
1228C2×D4—42no—
1229C2×D4—44no—
1230C2×D4—42no—
1231C2×D4—42no—
1232C2×D4—44no—
1233C2×D4—42no—
1234C2×D4—44no—
1235C2×D4—44no—
1236C2×D4—44no—
1237C2×D4—816no—
1238C2×D4C2×#4114yes—
1239C2×D4C2×#4114yes—
1240C22×C4—22no—
1241C22×C4—24no—
1242C22×C4—22no—
1243C22×C4—24no—
1244C22×C4—24no—
1245C22×C4—24no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—28no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—24no—
1255C22×C4—24no—
1256C22×C4—24no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—24no—
1261C22×C4—24no—
1262C22×C4—28no—
1263C22×C4—28no—
1264C22×C4—24no—
1265C22×C4—42no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—41no—
1273C22×C4—41no—
1274C22×C4—42no—
1275C22×C4—42no—
1276C22×C4—42no—
1277C22×C4—42no—
1278C22×C4—44no—
1279C22×C4—44no—
1280C22×C4—44no—
1281C22×C4—44no—
1282C22×C4—42no—
1283C22×C4—44no—
1284C22×C4—44no—
1285C22×C4—44no—
1286C22×C4—44no—
1287C22×C4—44no—
1288C22×C4C2×#4118yes—
1289C22×C4C2×#4118yes—
1290C22×C4H(5,𝔽2)14yes—
1291C22×C4C2512yes—
1292C22×C4C2511yescharacteristic
1293C22×C4C2511yescharacteristic
1294C22×C4C2511yescharacteristic
1295C22×C4C2512yes—
1296C22×C4C2512yes—
1297C22×C4C2512yes—
1298C22×C4C2512yes—
1299C22×C4C2512yes—
1300C22×C4C2512yes—
1301C22×C4C2512yes—
1302C22×C4C2512yes—
1303C22×C4C2512yes—
1304C22×C4C2514yes—
1305C22×C4C2514yes—
1306C22×C4C2511yescharacteristic
1307C22×C4C2511yescharacteristic
1308C22×C4C2511yescharacteristic
1309C22×C4C2514yes—
1310C22×C4C2512yes—
1311C22×C4C2512yes—
1312C22×C4C2511yescharacteristic
1313C22×C4C2511yescharacteristic
1314C22×C4C2512yes—
1315C22×C4C2511yescharacteristic
1316C22×C4C2512yes—
1317C22×C4C2511yescharacteristic
1318C22×C4C2511yescharacteristic
1319C22×C4C2511yescharacteristic
1320C22×C4C2511yescharacteristic
1321C22×C4C2511yescharacteristic
1322C4⋊C4—22no—
1323C4⋊C4—24no—
1324C4⋊C4—24no—
1325C4⋊C4—24no—
1326C4⋊C4—22no—
1327C4⋊C4—24no—
1328C4⋊C4—24no—
1329C4⋊C4—24no—
1330C4⋊C4—24no—
1331C4⋊C4—24no—
1332C4⋊C4—22no—
1333C4⋊C4—24no—
1334C4⋊C4—22no—
1335C4⋊C4—28no—
1336C4⋊C4—24no—
1337C4⋊C4—24no—
1338C4⋊C4—24no—
1339C4⋊C4—22no—
1340C4⋊C4—24no—
1341C4⋊C4—22no—
1342C4⋊C4—28no—
1343C4⋊C4—24no—
1344C4⋊C4—24no—
1345C4⋊C4—22no—
1346C4⋊C4—24no—
1347C4⋊C4—24no—
1348C4⋊C4—22no—
1349C4⋊C4—22no—
1350C4⋊C4—24no—
1351C4⋊C4—22no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—42no—
1355C4⋊C4—44no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C4⋊C4—44no—
1366C4⋊C4—42no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—42no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4—44no—
1380C4⋊C4C2×#4114yes—
1381C4⋊C4C2×#4114yes—
1382C22⋊C4—28no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—24no—
1386C22⋊C4—28no—
1387C22⋊C4—24no—
1388C22⋊C4—28no—
1389C22⋊C4—24no—
1390C22⋊C4—24no—
1391C22⋊C4—28no—
1392C22⋊C4—24no—
1393C22⋊C4—28no—
1394C22⋊C4—24no—
1395C22⋊C4—28no—
1396C22⋊C4—28no—
1397C22⋊C4—24no—
1398C22⋊C4—24no—
1399C22⋊C4—24no—
1400C22⋊C4—28no—
1401C22⋊C4—24no—
1402C22⋊C4—28no—
1403C22⋊C4—24no—
1404C22⋊C4—24no—
1405C22⋊C4—28no—
1406C22⋊C4—28no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—42no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C22⋊C4—42no—
1417C22⋊C4—42no—
1418C22⋊C4—42no—
1419C22⋊C4—44no—
1420C22⋊C4—42no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—42no—
1425C22⋊C4—42no—
1426C22⋊C4—42no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4C2×#4118yes—
1440C22⋊C4C2×#4118yes—
1441C42—22no—
1442C42—24no—
1443C42—22no—
1444C42—22no—
1445C42—22no—
1446C42—24no—
1447C42—24no—
1448C42—22no—
1449C42—22no—
1450C42—28no—
1451C42—24no—
1452C42—24no—
1453C42—28no—
1454C42—24no—
1455C42—22no—
1456C42—22no—
1457C42—22no—
1458C42—22no—
1459C42—24no—
1460C42—24no—
1461C42—22no—
1462C42—22no—
1463C42—22no—
1464C42—22no—
1465C42—22no—
1466C42—22no—
1467C42—22no—
1468C42—24no—
1469C42—22no—
1470C42—24no—
1471C42—24no—
1472C42—24no—
1473C42—42no—
1474C42—41no—
1475C42—41no—
1476C42—41no—
1477C42—41no—
1478C42—41no—
1479C42—42no—
1480C42—41no—
1481C42—41no—
1482C42—41no—
1483C42—42no—
1484C42—42no—
1485C42—42no—
1486C42—44no—
1487C42—44no—
1488C42—44no—
1489C42—42no—
1490C42C2×#4114yes—
1491C42C2×#4114yes—
1492C23—22no—
1493C23—21no—
1494C23—21no—
1495C23—22no—
1496C23—22no—
1497C23—22no—
1498C23—22no—
1499C23—22no—
1500C23—21no—
1501C23—21no—
1502C23—22no—
1503C23—22no—
1504C23—22no—
1505C23—22no—
1506C23—22no—
1507C23—21no—
1508C23—21no—
1509C23—22no—
1510C23—24no—
1511C23—24no—
1512C23—24no—
1513C23—24no—
1514C23—24no—
1515C23—24no—
1516C23—24no—
1517C23—416no—
1518C23—88no—
1519C23—88no—
1520C23—88no—
1521C23—88no—
1522C23—164no—
1523C23—164no—
1524C23C22×#4114yes—
1525C23C22×#4114yes—
1526C23C2×H(5,𝔽2)12yes—
1527C23C2611yescharacteristic
1528Q8—44no—
1529Q8—48no—
1530Q8—44no—
1531D4—28no—
1532D4—28no—
1533D4—416no—
1534D4—48no—
1535D4—48no—
1536D4—48no—
1537D4—48no—
1538D4—84no—
1539D4—88no—
1540D4—88no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—22no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—22no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—216no—
1558C2×C4—28no—
1559C2×C4—22no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—22no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—24no—
1569C2×C4—22no—
1570C2×C4—24no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—24no—
1582C2×C4—24no—
1583C2×C4—24no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—22no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—24no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—24no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—24no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—24no—
1621C2×C4—22no—
1622C2×C4—48no—
1623C2×C4—44no—
1624C2×C4—44no—
1625C2×C4—48no—
1626C2×C4—48no—
1627C2×C4—44no—
1628C2×C4—44no—
1629C2×C4—44no—
1630C2×C4—44no—
1631C2×C4—48no—
1632C2×C4—88no—
1633C2×C4—88no—
1634C2×C4—84no—
1635C2×C4—88no—
1636C2×C4—164no—
1637C2×C4C22×#4114yes—
1638C2×C4C22×#4112yes—
1639C2×C4C22×#4114yes—
1640C2×C4C22×#4112yes—
1641C2×C4C22×#4112yes—
1642C2×C4C22×#4112yes—
1643C2×C4C22×#4112yes—
1644C2×C4C22×#4112yes—
1645C2×C4C2×H(5,𝔽2)12yes—
1646C2×C4C2×H(5,𝔽2)12yes—
1647C2×C4#58512yes—
1648C2×C4#58512yes—
1649C2×C4#58512yes—
1650C2×C4#58512yes—
1651C22—24no—
1652C22—22no—
1653C22—24no—
1654C22—22no—
1655C22—24no—
1656C22—24no—
1657C22—22no—
1658C22—24no—
1659C22—24no—
1660C22—41no—
1661C22—42no—
1662C22—42no—
1663C22—42no—
1664C22—41no—
1665C22—42no—
1666C22—41no—
1667C22—42no—
1668C22—42no—
1669C22—42no—
1670C22—42no—
1671C22—41no—
1672C22—44no—
1673C22—44no—
1674C22—44no—
1675C22—44no—
1676C22—44no—
1677C22—44no—
1678C22—44no—
1679C22—1616no—
1680C22C23×#4111yescharacteristic
1681C22C23×#4111yescharacteristic
1682C22C22×H(5,𝔽2)11yescharacteristic
1683C22C2×#58511yescharacteristic
1684C22C2×#58511yescharacteristic
1685C22C2×#58511yescharacteristic
1686C22C2×#58511yescharacteristic
1687C4—22no—
1688C4—24no—
1689C4—22no—
1690C4—22no—
1691C4—22no—
1692C4—22no—
1693C4—22no—
1694C4—24no—
1695C4—41no—
1696C4—42no—
1697C4—42no—
1698C4—42no—
1699C4—44no—
1700C4—41no—
1701C4—42no—
1702C4—44no—
1703C4—42no—
1704C4—42no—
1705C4—42no—
1706C4—42no—
1707C4—41no—
1708C4—42no—
1709C4—42no—
1710C4—41no—
1711C4—41no—
1712C4—42no—
1713C4—44no—
1714C4—41no—
1715C4—42no—
1716C4#347514yes—
1717C4#349414yes—
1718C2—42no—
1719C2—44no—
1720C2—44no—
1721C2—84no—
1722C2C2×#347511yescharacteristic
1723C2#6278111yescharacteristic
1724C2C2×#349411yescharacteristic
1725C2#6280011yescharacteristic
1726C2#6281011yescharacteristic
1727C2#6282711yescharacteristic
1728C2#6283611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#36258C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59605C2semidirect
2. #59594C2semidirect
3. #59556C2semidirect
4. #59488C2semidirect
5. #59120C2semidirect
6. #59103C2semidirect
7. #39056C2semidirect
8. #39046C2semidirect
9. #38987C2semidirect
10. #38977C2semidirect
11. #38966C2semidirect
12. #38957C2semidirect
13. #38653C2semidirect
14. #38633C2semidirect
15. #36631C2semidirect
16. #36405C2semidirect
17. #36402C2semidirect
18. #36391C2semidirect
19. #36386C2semidirect
20. #36315C2semidirect
21. #36302C2semidirect
22. #36293C2semidirect
23. #36293C2semidirect
24. #36272C2semidirect
26. #35588C2semidirect
27. #35523C2semidirect
28. #35300C2semidirect
29. #35186C2semidirect
30. #35176C2semidirect
31. #34322C2semidirect
32. #34310C2semidirect
33. #34255C2semidirect
34. C4×#529C2semidirect
35. #34026C2semidirect
37. C2×#552C22semidirect
41. C2×#529C22semidirect
44. #2861C22semidirect
45. #2861C22semidirect
46. #2861C22semidirect
47. #2860C22semidirect
48. #2860C22semidirect
49. #2860C22semidirect
50. #2859C22semidirect
51. #2859C22semidirect
53. #2857C22semidirect
54. #2857C22semidirect
56. #2855C22semidirect
57. #2855C22semidirect
59. #2854C22semidirect
60. #2854C22semidirect
61. #2850C22semidirect
62. #2790C22semidirect
63. #2786C22semidirect
64. #2772C22semidirect
65. #2768C22semidirect
66. #2765C22semidirect
67. #2761C22semidirect
68. #2746C22semidirect
69. #2740C22semidirect
70. #2739C22semidirect
71. #2735C22semidirect
72. #2718C22semidirect
73. #2708C22semidirect
74. #2706C22semidirect
75. #2697C22semidirect
78. #2667C22semidirect
79. #2651C22semidirect
80. #2645C22semidirect
81. #2644C22semidirect
82. #2629C22semidirect
84. #2611C22semidirect
85. #2609C22semidirect
86. #2603C22semidirect
87. #2600C22semidirect
88. #2597C22semidirect
89. #2597C22semidirect
90. #2595C22semidirect
91. #2594C22semidirect
92. #2587C22semidirect
93. #2582C22semidirect
94. #2578C22semidirect
95. #2576C22semidirect
96. #2576C22semidirect
97. #2573C22semidirect
99. #2559C22semidirect
100. #2559C22semidirect
101. #2558C22semidirect
102. #2558C22semidirect
103. #2553C22semidirect
104. #2553C22semidirect
105. #2552C22semidirect
106. #2552C22semidirect
107. #2552C22semidirect
110. #2547C22semidirect
111. #2546C22semidirect
112. #2545C22semidirect
115. #2534C22semidirect
116. #2534C22semidirect
117. #2531C22semidirect
118. #2531C22semidirect
119. #2531C22semidirect
120. #2531C22semidirect
121. #2529C22semidirect
122. #2529C22semidirect
123. #2529C22semidirect
124. #2526C22semidirect
125. #2526C22semidirect
126. #2522C22semidirect
127. #2519C22semidirect
128. #2513C22semidirect
129. #2513C22semidirect
130. #2512C22semidirect
131. #2508C22semidirect
132. #2508C22semidirect
133. #2507C22semidirect
134. #2503C22semidirect
136. #2500C22semidirect
137. #2497C22semidirect
138. #2496C22semidirect
139. #2494C22semidirect
140. #2490C22semidirect
141. #2489C22semidirect
142. #2489C22semidirect
143. #2485C22semidirect
144. #2485C22semidirect
145. #2482C22semidirect
146. #2482C22semidirect
147. #2480C22semidirect
148. #2480C22semidirect
149. #2480C22semidirect
150. #2479C22semidirect
151. #2479C22semidirect
152. #2478C22semidirect
153. #2476C22semidirect
154. #2475C22semidirect
155. #2470C22semidirect
156. #2468C22semidirect
157. #2468C22semidirect
158. #2468C22semidirect
159. #2466C22semidirect
160. #2455C22semidirect
163. #2454C22semidirect
164. #2454C22semidirect
165. #2448C22semidirect
166. #2448C22semidirect
169. #2447C22semidirect
170. #2447C22semidirect
171. #2442C22semidirect
172. #2442C22semidirect
173. #2441C22semidirect
178. #2429C22semidirect
179. #2427C22semidirect
184. #2423C22semidirect
186. #2420C22semidirect
187. #2418C22semidirect
189. #2415C22semidirect
190. #2415C22semidirect
194. #2373C22semidirect
195. #2373C22semidirect
198. #2365C22semidirect
199. #2365C22semidirect
201. #2363C22semidirect
202. #2362C22semidirect
204. #2360C22semidirect
205. #2360C22semidirect
207. #2357C22semidirect
208. #2357C22semidirect
209. #2355C22semidirect
211. #2354C22semidirect
212. #2354C22semidirect
213. #2354C22semidirect
214. #2351C22semidirect
217. #2346C22semidirect
218. #2346C22semidirect
219. #2342C22semidirect
220. #2342C22semidirect
221. #2342C22semidirect
222. #2342C22semidirect
223. #2342C22semidirect
224. #2342C22semidirect
228. #2334C22semidirect
229. #2330C22semidirect
230. #2326C22semidirect
232. #2323C22semidirect
236. #2319C22semidirect
237. #2319C22semidirect
238. #2317C22semidirect
240. C4×C4⋊Q8C22semidirect
242. C4×#125C22semidirect
243. C4×#125C22semidirect
244. C4×#126C22semidirect
245. C4×#126C22semidirect
249. C4×#124C22semidirect
250. C4×C22⋊Q8C22semidirect
251. C4×C22⋊Q8C22semidirect
252. C4×#123C22semidirect
253. C4×#123C22semidirect
257. C4×#121C22semidirect
258. C4×#121C22semidirect
259. #2298C22semidirect
260. #2298C22semidirect
261. #2298C22semidirect
264. #2296C22semidirect
265. #2296C22semidirect
266. #2296C22semidirect
267. #2295C22semidirect
268. #2295C22semidirect
269. #2295C22semidirect
270. #2295C22semidirect
271. #2295C22semidirect
272. #2295C22semidirect
279. #2293C22semidirect
280. #2293C22semidirect
281. #2293C22semidirect
284. #2290C22semidirect
285. #2290C22semidirect
286. #2290C22semidirect
287. #2290C22semidirect
288. #2290C22semidirect
289. #2283C22semidirect
290. #2274C22semidirect
291. C42×Q8C22semidirect
293. C42×D4C22semidirect
294. C4×#117C22semidirect
295. C4×#117C22semidirect
296. C4×#117C22semidirect
297. C4×#117C22semidirect
298. C2×C43C22semidirect
923. C4×D4#41semidirect

Maximal subgroups

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

subgroupindex
#596052
#595942
#595562
#594882
#591202
#591032
#390562
#390462
#389872
#389772
#389662
#389572
#386532
#386332
#366312
#364052
#364022
#363912
#363862
#363152
#363022
#362932
#362722
#362582
#355882
#355232
#353002
#351862
#351762
#343222
#343102
#342552
C4×#5292
#340262