Finite Group Databasebeta

← #7671739

Subgroups — #7671739

Order 512.

5190 conjugacy classes of subgroups.

The subgroup lattice has 1865 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59960C212yesmaximal, complemented
2#59944C212yesmaximal, complemented
3#59904C212yesmaximal, complemented
4#59811C212yesmaximal, complemented
5#59575C212yesmaximal, complemented
6#59486C212yesmaximal, complemented
7#59398C212yesmaximal, complemented
8#59381C212yesmaximal, complemented
9#40081C212yesmaximal, complemented
10#40080C212yesmaximal, complemented
11#40069C212yesmaximal, complemented
12#40068C212yesmaximal, complemented
13#39118C212yesmaximal, complemented
14#38926C212yesmaximal, complemented
15#38278C212yesmaximal, complemented
16#38276C212yesmaximal, complemented
17#36635C211yesmaximal, characteristic, complemented
18#36598C211yesmaximal, characteristic, complemented
19#36559C211yesmaximal, characteristic, complemented
20#36507C212yesmaximal, complemented
21#36443C212yesmaximal, complemented
22#36241C212yesmaximal, complemented
23#36217C212yesmaximal, complemented
24#36210C211yesmaximal, characteristic, complemented
25#36210C211yesmaximal, characteristic, complemented
26#36188C211yesmaximal, characteristic, complemented
27#36149C211yesmaximal, characteristic, complemented
28#36149C211yesmaximal, characteristic, complemented
29#36127C211yesmaximal, characteristic, complemented
30#35552C212yesmaximal, complemented
31#35550C212yesmaximal, complemented
32#35284C211yesmaximal, characteristic, complemented
33#35283C211yesmaximal, characteristic, complemented
34#35218C212yesmaximal, complemented
35#34333C212yesmaximal, complemented
36#34226C211yesmaximal, characteristic, complemented
37#34226C211yesmaximal, characteristic, complemented
38C4×#532C211yesmaximal, characteristic, complemented
39C4×#529C211yesmaximal, characteristic, complemented
40C2×#556C2212yes—
41C2×#554C2212yes—
42C2×#547C2212yes—
43C2×#532C2211yescharacteristic
44C2×#532C2211yescharacteristic
45C2×#532C2211yescharacteristic
46C2×#529C2211yescharacteristic
47C2×C4×#41C2212yes—
48#2868C2211yescharacteristic
49#2868C2211yescharacteristic
50#2864C2212yes—
51#2863C2212yes—
52#2863C2212yes—
53#2862C2211yescharacteristic
54#2862C2211yescharacteristic
55#2859C2211yescharacteristic
56#2859C2211yescharacteristic
57#2857C2211yescharacteristic
58#2857C2211yescharacteristic
59#2857C2211yescharacteristic
60#2857C2211yescharacteristic
61#2857C2211yescharacteristic
62#2857C2211yescharacteristic
63#2855C2212yes—
64#2855C2212yes—
65#2853C2214yes—
66#2852C2214yes—
67#2851C2212yes—
68#2779C2214yes—
69#2770C2214yes—
70#2765C2214yes—
71#2761C2214yes—
72#2751C2214yes—
73#2750C2214yes—
74#2747C2214yes—
75#2745C2214yes—
76#2744C2214yes—
77#2741C2214yes—
78#2739C2214yes—
79#2730C2214yes—
80#2728C2214yes—
81#2695C2214yes—
82#2690C2214yes—
83#2676C2214yes—
84#2652C2214yes—
85#2648C2214yes—
86#2647C2212yes—
87#2647C2212yes—
88#2629C2212yes—
89#2628C2212yes—
90#2601C2214yes—
91#2599C2214yes—
92#2597C2214yes—
93#2595C2214yes—
94#2582C2212yes—
95#2578C2214yes—
96#2577C2214yes—
97#2576C2214yes—
98#2573C2214yes—
99#2571C2212yes—
100#2570C2212yes—
101#2570C2212yes—
102#2568C2212yes—
103#2568C2212yes—
104#2566C2212yes—
105#2566C2212yes—
106#2563C2212yes—
107#2562C2212yes—
108#2562C2212yes—
109#2560C2214yes—
110#2559C2214yes—
111#2557C2214yes—
112#2554C2214yes—
113#2547C2212yes—
114#2547C2212yes—
115#2547C2212yes—
116#2538C2212yes—
117#2538C2212yes—
118#2537C2212yes—
119#2537C2212yes—
120#2535C2212yes—
121#2535C2212yes—
122#2531C2214yes—
123#2530C2214yes—
124#2527C2214yes—
125#2526C2214yes—
126#2523C2214yes—
127#2518C2214yes—
128#2515C2214yes—
129#2514C2212yes—
130#2514C2212yes—
131#2511C2212yes—
132#2511C2212yes—
133#2511C2212yes—
134#2511C2212yes—
135#2510C2214yes—
136#2509C2212yes—
137#2509C2212yes—
138#2507C2212yes—
139#2507C2212yes—
140#2499C2212yes—
141#2499C2212yes—
142#2498C2214yes—
143#2497C2212yes—
144#2497C2212yes—
145#2496C2212yes—
146#2496C2212yes—
147#2496C2212yes—
148#2496C2212yes—
149#2495C2212yes—
150#2495C2212yes—
151#2494C2212yes—
152#2494C2212yes—
153#2494C2212yes—
154#2494C2212yes—
155#2493C2214yes—
156#2493C2214yes—
157#2493C2214yes—
158#2492C2212yes—
159#2492C2212yes—
160#2485C2212yes—
161#2485C2212yes—
162#2484C2214yes—
163#2481C2214yes—
164#2481C2214yes—
165#2468C2214yes—
166#2466C2214yes—
167#2461C2214yes—
168#2459C2214yes—
169#2458C2214yes—
170#2452C2212yes—
171#2452C2212yes—
172#2452C2212yes—
173#2452C2212yes—
174#2451C2212yes—
175#2451C2212yes—
176#2447C2212yes—
177#2447C2212yes—
178#2447C2212yes—
179#2447C2212yes—
180#2446C2212yes—
181#2446C2212yes—
182#2446C2212yes—
183#2446C2212yes—
184#2444C2214yes—
185#2443C2214yes—
186#2432C2212yes—
187#2432C2212yes—
188#2429C2212yes—
189#2429C2212yes—
190#2427C2212yes—
191#2427C2212yes—
192#2427C2212yes—
193#2427C2212yes—
194#2423C2212yes—
195#2423C2212yes—
196#2422C2212yes—
197#2422C2212yes—
198#2422C2212yes—
199#2422C2212yes—
200#2421C2212yes—
201#2421C2212yes—
202#2420C2212yes—
203#2420C2212yes—
204#2420C2212yes—
205#2420C2212yes—
206#2419C2214yes—
207#2419C2214yes—
208#2415C2212yes—
209#2415C2212yes—
210#2407C2212yes—
211#2407C2212yes—
212#2407C2212yes—
213#2407C2212yes—
214#2370C2212yes—
215#2370C2212yes—
216#2368C2214yes—
217#2368C2214yes—
218#2367C2212yes—
219#2367C2212yes—
220#2367C2212yes—
221#2367C2212yes—
222#2365C2212yes—
223#2365C2212yes—
224#2365C2212yes—
225#2363C2212yes—
226#2363C2212yes—
227#2363C2212yes—
228#2363C2212yes—
229#2362C2212yes—
230#2362C2212yes—
231#2360C2214yes—
232#2357C2212yes—
233#2357C2212yes—
234#2355C2212yes—
235#2355C2212yes—
236#2349C2212yes—
237#2349C2212yes—
238#2349C2212yes—
239#2349C2212yes—
240D4×C4⋊C4C2212yes—
241D4×C4⋊C4C2212yes—
242D4×C4⋊C4C2212yes—
243D4×C4⋊C4C2212yes—
244#2347C2212yes—
245#2347C2212yes—
246#2345C2214yes—
247#2341C2212yes—
248#2341C2212yes—
249#2339C2212yes—
250#2339C2212yes—
251#2339C2212yes—
252#2339C2212yes—
253#2339C2212yes—
254#2339C2212yes—
255#2331C2212yes—
256#2330C2212yes—
257#2329C2214yes—
258#2329C2214yes—
259#2324C2212yes—
260#2324C2212yes—
261#2324C2212yes—
262#2324C2212yes—
263#2319C2212yes—
264#2319C2212yes—
265#2314C2212yes—
266#2314C2212yes—
267C4×C4⋊Q8C2211yescharacteristic
268C4×C4⋊Q8C2211yescharacteristic
269C4×C4⋊Q8C2211yescharacteristic
270C4×C4⋊Q8C2211yescharacteristic
271C4×C4⋊Q8C2211yescharacteristic
272C4×C4⋊Q8C2211yescharacteristic
273C4×#127C2211yescharacteristic
274C4×#127C2211yescharacteristic
275C4×#127C2211yescharacteristic
276C4×#127C2211yescharacteristic
277C4×#125C2212yes—
278C4×#125C2211yescharacteristic
279C4×#125C2211yescharacteristic
280C4×#126C2211yescharacteristic
281C4×#126C2211yescharacteristic
282C4×#126C2211yescharacteristic
283C4×#126C2211yescharacteristic
284C4×#124C2211yescharacteristic
285C4×#124C2212yes—
286C4×#124C2212yes—
287C4×#124C2211yescharacteristic
288C4×C22⋊Q8C2211yescharacteristic
289C4×C22⋊Q8C2212yes—
290C4×C22⋊Q8C2212yes—
291C4×C22⋊Q8C2214yes—
292C4×C22⋊Q8C2211yescharacteristic
293C4×#123C2211yescharacteristic
294C4×#123C2211yescharacteristic
295C4×#123C2211yescharacteristic
296C4×#123C2211yescharacteristic
297C4×#121C2212yes—
298C4×#121C2212yes—
299C4×#121C2211yescharacteristic
300C4×#121C2212yes—
301C4×#121C2211yescharacteristic
302C4×#121C2212yes—
303#2298C2211yescharacteristic
304#2298C2211yescharacteristic
305#2297C2212yes—
306#2295C2212yes—
307#2295C2212yes—
308#2295C2211yescharacteristic
309#2293C2212yes—
310#2293C2212yes—
311#2293C2211yescharacteristic
312#2290C2211yescharacteristic
313#2290C2211yescharacteristic
314C2×#387C2214yes—
315#2285C2211yescharacteristic
316#2285C2211yescharacteristic
317#2285C2211yescharacteristic
318#2283C2211yescharacteristic
319#2283C2212yes—
320#2275C2212yes—
321#2275C2212yes—
322C42×Q8C2211yescharacteristic
323C42×D4C2212yes—
324C42×D4C2211yescharacteristic
325C42×D4C2211yescharacteristic
326C42×D4C2211yescharacteristic
327C42×D4C2212yes—
328C4×#117C2211yescharacteristic
329C4×#117C2211yescharacteristic
330C2×C43C2211yescharacteristic
331C22×#41C2312yes—
332C22×#41C2312yes—
333C22×#41C2312yes—
334#556—48no—
335#554—216no—
336#547—48no—
337#532—28no—
338#532—28no—
339#532—28no—
340C2×C4⋊Q8C2311yescharacteristic
341C2×C4⋊Q8C2311yescharacteristic
342C2×C4⋊Q8C2311yescharacteristic
343C2×C4⋊Q8C2312yes—
344C2×C4⋊Q8C2312yes—
345C2×C4⋊Q8C2312yes—
346C2×C4⋊Q8C2312yes—
347C2×C4⋊Q8C2312yes—
348C2×#127C2311yescharacteristic
349#529—28no—
350C2×#126C2311yescharacteristic
351C2×#126C2311yescharacteristic
352C2×#126C2314yes—
353C2×#126C2314yes—
354C2×#125C2311yescharacteristic
355C2×#125C2312yes—
356C2×#125C2312yes—
357C2×#124C2312yes—
358C2×#124C2312yes—
359C2×#124C2311yescharacteristic
360C2×#124C2312yes—
361C2×#124C2314yes—
362C2×#123C2311yescharacteristic
363C2×#123C2311yescharacteristic
364C2×#123C2314yes—
365C2×#123C2314yes—
366C2×C22⋊Q8C2314yes—
367C2×C22⋊Q8C2314yes—
368C2×C22⋊Q8C2314yes—
369C2×C22⋊Q8C2312yes—
370C2×C22⋊Q8C2311yescharacteristic
371C2×C22⋊Q8C2312yes—
372C2×C22⋊Q8C2312yes—
373C2×C22⋊Q8C2312yes—
374C2×C22⋊Q8C2312yes—
375C2×C22⋊Q8C2312yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#121C2312yes—
380C2×#121C2312yes—
381C2×#121C2311yescharacteristic
382C2×#121C2312yes—
383C2×#121C2314yes—
384C4×#41—48no—
385C2×C4×Q8C2312yes—
386C2×C4×Q8C2312yes—
387C2×C4×Q8C2312yes—
388C2×C4×Q8C2312yes—
389C2×C4×Q8C2312yes—
390C2×C4×Q8C2312yes—
391C2×C4×Q8C2311yescharacteristic
392C2×C4×Q8C2311yescharacteristic
393C2×C4×Q8C2314yes—
394C2×C4×Q8C2311yescharacteristic
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2311yescharacteristic
400C2×C4×D4C2311yescharacteristic
401C2×C4×D4C2312yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2312yes—
407C2×C4×D4C2311yescharacteristic
408C2×C4×D4C2311yescharacteristic
409C2×C4×D4C2311yescharacteristic
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2314yes—
419C2×C4×D4C2314yes—
420C2×C4×D4C2311yescharacteristic
421C2×C4×D4C2311yescharacteristic
422C2×C4×D4C2311yescharacteristic
423C2×C4×D4C2311yescharacteristic
424C2×#117C2311yescharacteristic
425C2×#117C2311yescharacteristic
426C2×#117C2311yescharacteristic
427C2×#117C2311yescharacteristic
428C2×#117C2312yes—
429C2×#117C2314yes—
430C2×#117C2312yes—
431C2×#117C2312yes—
432C22×C4⋊C4C2314yes—
433C22×C4⋊C4C2314yes—
434C22×C42C2311yescharacteristic
435C22×C42C2311yescharacteristic
436C22×C42C2311yescharacteristic
437C22×C42C2311yescharacteristic
438C22×C42C2311yescharacteristic
439C22×C42C2311yescharacteristic
440C22×C42C2314yes—
441C22×C42C2311yescharacteristic
442C22×C42C2311yescharacteristic
443C22×C42C2311yescharacteristic
444#401C2314yes—
445#401C2314yes—
446#400C2314yes—
447#400C2314yes—
448#400C2314yes—
449#400C2314yes—
450#400C2314yes—
451#400C2314yes—
452#400C2314yes—
453#400C2314yes—
454#400C2314yes—
455#400C2314yes—
456#400C2314yes—
457#400C2314yes—
458#400C2314yes—
459#400C2314yes—
460#400C2314yes—
461#399C2314yes—
462#398C2314yes—
463#398C2314yes—
464#398C2314yes—
465#398C2314yes—
466#398C2314yes—
467#398C2314yes—
468#398C2314yes—
469#398C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#397C2314yes—
484#397C2314yes—
485#397C2314yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2314yes—
491#396C2314yes—
492#395C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#393C2314yes—
504#393C2314yes—
505#393C2314yes—
506#392C2314yes—
507#392C2314yes—
508#391C2314yes—
509#391C2312yes—
510#391C2312yes—
511#391C2312yes—
512#391C2312yes—
513#391C2312yes—
514#391C2312yes—
515#391C2314yes—
516#391C2314yes—
517#391C2312yes—
518#391C2312yes—
519#391C2312yes—
520#391C2312yes—
521#391C2312yes—
522#391C2312yes—
523#391C2311yescharacteristic
524#391C2314yes—
525#391C2314yes—
526#391C2312yes—
527#391C2312yes—
528#391C2312yes—
529#391C2312yes—
530#391C2312yes—
531#391C2312yes—
532#391C2312yes—
533#391C2312yes—
534#391C2311yescharacteristic
535#390C2314yes—
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2312yes—
544#390C2312yes—
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2314yes—
549#390C2314yes—
550#390C2314yes—
551#390C2311yescharacteristic
552#390C2311yescharacteristic
553#389C2311yescharacteristic
554#389C2311yescharacteristic
555#389C2312yes—
556#389C2312yes—
557#389C2311yescharacteristic
558#389C2311yescharacteristic
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2314yes—
572#389C2314yes—
573#389C2314yes—
574#389C2314yes—
575#389C2314yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2312yes—
592#389C2312yes—
593#389C2312yes—
594#388C2311yescharacteristic
595#388C2311yescharacteristic
596#388C2311yescharacteristic
597#388C2311yescharacteristic
598#388C2311yescharacteristic
599#388C2311yescharacteristic
600#388C2311yescharacteristic
601#388C2311yescharacteristic
602#388C2311yescharacteristic
603#388C2311yescharacteristic
604#388C2311yescharacteristic
605#388C2311yescharacteristic
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2311yescharacteristic
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2311yescharacteristic
630#388C2314yes—
631#388C2311yescharacteristic
632#388C2311yescharacteristic
633#388C2314yes—
634#387C2311yescharacteristic
635#387C2311yescharacteristic
636#387C2311yescharacteristic
637#387C2311yescharacteristic
638#387C2311yescharacteristic
639#387C2311yescharacteristic
640#387C2311yescharacteristic
641#387C2311yescharacteristic
642#387C2311yescharacteristic
643#387C2311yescharacteristic
644#387C2311yescharacteristic
645#387C2311yescharacteristic
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2311yescharacteristic
650#387C2311yescharacteristic
651#387C2311yescharacteristic
652#387C2311yescharacteristic
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2311yescharacteristic
697#386C2311yescharacteristic
698#386C2311yescharacteristic
699#386C2311yescharacteristic
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2311yescharacteristic
706#385C2311yescharacteristic
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2311yescharacteristic
721#385C2311yescharacteristic
722#384C2311yescharacteristic
723#384C2311yescharacteristic
724#384C2311yescharacteristic
725#384C2311yescharacteristic
726#384C2312yes—
727#384C2312yes—
728#384C2312yes—
729#384C2312yes—
730#384C2312yes—
731#384C2312yes—
732#384C2312yes—
733#383C2311yescharacteristic
734#383C2311yescharacteristic
735#383C2314yes—
736#383C2314yes—
737#383C2314yes—
738#382C2312yes—
739#382C2311yescharacteristic
740#382C2311yescharacteristic
741#382C2312yes—
742#382C2312yes—
743#382C2314yes—
744#382C2312yes—
745#382C2312yes—
746#382C2312yes—
747#382C2312yes—
748#382C2312yes—
749#382C2312yes—
750#381C2314yes—
751#381C2314yes—
752#381C2314yes—
753#381C2314yes—
754#381C2314yes—
755#381C2314yes—
756#381C2314yes—
757#381C2311yescharacteristic
758#381C2311yescharacteristic
759#380C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2312yes—
764#380C2312yes—
765#380C2312yes—
766#380C2314yes—
767#380C2314yes—
768#380C2312yes—
769#380C2314yes—
770#380C2314yes—
771#380C2314yes—
772#380C2314yes—
773#380C2314yes—
774#380C2312yes—
775#380C2312yes—
776#380C2312yes—
777#380C2312yes—
778#380C2312yes—
779#380C2312yes—
780#380C2312yes—
781#380C2312yes—
782#380C2312yes—
783#380C2314yes—
784#380C2312yes—
785#380C2311yescharacteristic
786#380C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2314yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2314yes—
803C4×C4⋊C4C2314yes—
804C4×C4⋊C4C2311yescharacteristic
805C4×C4⋊C4C2311yescharacteristic
806C4×C4⋊C4C2311yescharacteristic
807C4×C4⋊C4C2311yescharacteristic
808C4×C4⋊C4C2311yescharacteristic
809C4×C4⋊C4C2311yescharacteristic
810C4×C4⋊C4C2311yescharacteristic
811C4×C4⋊C4C2311yescharacteristic
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2312yes—
818C4×C4⋊C4C2312yes—
819C4×C4⋊C4C2312yes—
820C4×C4⋊C4C2312yes—
821C4×C4⋊C4C2312yes—
822C4×C4⋊C4C2311yescharacteristic
823C4×C4⋊C4C2311yescharacteristic
824C4×C4⋊C4C2311yescharacteristic
825C4×C4⋊C4C2312yes—
826C4×C4⋊C4C2312yes—
827C4×C4⋊C4C2314yes—
828C4×C4⋊C4C2314yes—
829C4×C4⋊C4C2312yes—
830C4×C4⋊C4C2312yes—
831C4×C4⋊C4C2311yescharacteristic
832C4×C4⋊C4C2311yescharacteristic
833C4×C4⋊C4C2311yescharacteristic
834C4×C4⋊C4C2312yes—
835C4×C4⋊C4C2312yes—
836C4×C22⋊C4C2311yescharacteristic
837C4×C22⋊C4C2311yescharacteristic
838C4×C22⋊C4C2311yescharacteristic
839C4×C22⋊C4C2311yescharacteristic
840C4×C22⋊C4C2311yescharacteristic
841C4×C22⋊C4C2311yescharacteristic
842C4×C22⋊C4C2311yescharacteristic
843C4×C22⋊C4C2311yescharacteristic
844C4×C22⋊C4C2311yescharacteristic
845C4×C22⋊C4C2311yescharacteristic
846C4×C22⋊C4C2311yescharacteristic
847C4×C22⋊C4C2311yescharacteristic
848C4×C22⋊C4C2314yes—
849C4×C22⋊C4C2314yes—
850C4×C22⋊C4C2314yes—
851C4×C22⋊C4C2314yes—
852C4×C22⋊C4C2314yes—
853C4×C22⋊C4C2314yes—
854C4×C22⋊C4C2314yes—
855C4×C22⋊C4C2314yes—
856C4×C22⋊C4C2311yescharacteristic
857C4×C22⋊C4C2311yescharacteristic
858C4×C22⋊C4C2314yes—
859C4×C22⋊C4C2311yescharacteristic
860C4×C22⋊C4C2314yes—
861C4×C22⋊C4C2314yes—
862C4×C22⋊C4C2311yescharacteristic
863C4×C22⋊C4C2311yescharacteristic
864C4×C22⋊C4C2311yescharacteristic
865C4×C22⋊C4C2311yescharacteristic
866C4×C22⋊C4C2311yescharacteristic
867C4×C22⋊C4C2311yescharacteristic
868C4×C22⋊C4C2311yescharacteristic
869C4×C22⋊C4C2311yescharacteristic
870C4×C22⋊C4C2311yescharacteristic
871C4×C22⋊C4C2311yescharacteristic
872C4×C22⋊C4C2311yescharacteristic
873C4×C22⋊C4C2314yes—
874C4×C22⋊C4C2314yes—
875#376C2311yescharacteristic
876#376C2311yescharacteristic
877#376C2311yescharacteristic
878#376C2311yescharacteristic
879#376C2314yes—
880C2×#95C2314yes—
881C2×#95C2314yes—
882C2×#95C2314yes—
883C2×#95C2314yes—
884C43C2311yescharacteristic
885C43C2311yescharacteristic
886C43C2311yescharacteristic
887C43C2311yescharacteristic
888C43C2311yescharacteristic
889C43C2311yescharacteristic
890C43C2311yescharacteristic
891C43C2311yescharacteristic
892C43C2311yescharacteristic
893C43C2311yescharacteristic
894C2×#41—28no—
895C2×#41—28no—
896C2×#41—28no—
897C2×#41—28no—
898C2×#41—44no—
899C2×#41—44no—
900C2×#41—44no—
901C2×#41—44no—
902C2×#41—44no—
903C22×Q8C2412yes—
904C22×Q8C2412yes—
905C22×Q8C2412yes—
906C22×Q8C2414yes—
907C22×Q8C2411yescharacteristic
908C22×D4C2411yescharacteristic
909C22×D4C2411yescharacteristic
910C22×D4C2414yes—
911C22×D4C2412yes—
912C22×D4C2412yes—
913C22×D4C2412yes—
914C22×D4C2411yescharacteristic
915C22×D4C2414yes—
916C22×D4C2414yes—
917C23×C4C2411yescharacteristic
918C23×C4C2411yescharacteristic
919C23×C4C2411yescharacteristic
920C23×C4C2411yescharacteristic
921C23×C4C2411yescharacteristic
922C23×C4C2411yescharacteristic
923C23×C4C2411yescharacteristic
924C23×C4C2411yescharacteristic
925C23×C4C2414yes—
926C23×C4C2411yescharacteristic
927C23×C4C2411yescharacteristic
928C23×C4C2411yescharacteristic
929C23×C4C2414yes—
930C23×C4C2414yes—
931C23×C4C2414yes—
932C23×C4C2414yes—
933C23×C4C2414yes—
934C23×C4C2414yes—
935C23×C4C2411yescharacteristic
936C23×C4C2411yescharacteristic
937C4⋊Q8—24no—
938C4⋊Q8—24no—
939C4⋊Q8—24no—
940C4⋊Q8—28no—
941C4⋊Q8—44no—
942C4⋊Q8—44no—
943C4⋊Q8—44no—
944C4⋊Q8—44no—
945#127#4118yes—
946#126—24no—
947#126—24no—
948#126—48no—
949#126—48no—
950#125—24no—
951#125—28no—
952#125—28no—
953#124—24no—
954#124—28no—
955#124—28no—
956#124—28no—
957#124—48no—
958#123—24no—
959#123—24no—
960#123—48no—
961#123—48no—
962C22⋊Q8—24no—
963C22⋊Q8—216no—
964C22⋊Q8—28no—
965C22⋊Q8—216no—
966C22⋊Q8—216no—
967C22⋊Q8—44no—
968C22⋊Q8—44no—
969C22⋊Q8—44no—
970C22⋊Q8—44no—
971C22⋊Q8—44no—
972#121—28no—
973#121—28no—
974#121—28no—
975#121—28no—
976#121—28no—
977#121—28no—
978#121—24no—
979#121—48no—
980C4×Q8—42no—
981C4×Q8—42no—
982C4×Q8—48no—
983C4×Q8—44no—
984C4×Q8—44no—
985C4×Q8—44no—
986C4×Q8—44no—
987C4×Q8—44no—
988C4×Q8—44no—
989C4×Q8#4118yescomplemented
990C4×D4—28no—
991C4×D4—28no—
992C4×D4—28no—
993C4×D4—28no—
994C4×D4—28no—
995C4×D4—28no—
996C4×D4—24no—
997C4×D4—24no—
998C4×D4—24no—
999C4×D4—24no—
1000C4×D4—24no—
1001C4×D4—28no—
1002C4×D4—28no—
1003C4×D4—28no—
1004C4×D4—28no—
1005C4×D4—44no—
1006C4×D4—44no—
1007C4×D4—44no—
1008C4×D4—44no—
1009C4×D4—44no—
1010C4×D4—44no—
1011C4×D4—44no—
1012C4×D4—44no—
1013C4×D4—42no—
1014C4×D4—42no—
1015C4×D4—42no—
1016C4×D4—42no—
1017C4×D4—48no—
1018C4×D4—48no—
1019#117—28no—
1020#117—24no—
1021#117—24no—
1022#117—24no—
1023#117—24no—
1024#117—48no—
1025#117—44no—
1026#117—44no—
1027C2×C4⋊C4—216no—
1028C2×C4⋊C4—48no—
1029C2×C4⋊C4C2411yescharacteristic
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2411yescharacteristic
1040C2×C4⋊C4C2411yescharacteristic
1041C2×C4⋊C4C2411yescharacteristic
1042C2×C4⋊C4C2411yescharacteristic
1043C2×C4⋊C4C2411yescharacteristic
1044C2×C4⋊C4C2411yescharacteristic
1045C2×C4⋊C4C2411yescharacteristic
1046C2×C4⋊C4C2411yescharacteristic
1047C2×C4⋊C4C2411yescharacteristic
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2411yescharacteristic
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2411yescharacteristic
1060C2×C4⋊C4C2411yescharacteristic
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2414yes—
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2414yes—
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2411yescharacteristic
1071C2×C4⋊C4C2411yescharacteristic
1072C2×C4⋊C4C2411yescharacteristic
1073C2×C4⋊C4C2411yescharacteristic
1074C2×C4⋊C4C2414yes—
1075C2×C4⋊C4C2414yes—
1076C2×C4⋊C4C2411yescharacteristic
1077C2×C4⋊C4C2411yescharacteristic
1078C2×C4⋊C4C2411yescharacteristic
1079C2×C4⋊C4C2411yescharacteristic
1080C2×C4⋊C4C2411yescharacteristic
1081C2×C4⋊C4C2411yescharacteristic
1082C2×C4⋊C4C2414yes—
1083C2×C4⋊C4C2414yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2414yes—
1086C2×C4⋊C4C2414yes—
1087C2×C4⋊C4C2414yes—
1088C2×C4⋊C4C2414yes—
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2411yescharacteristic
1094C2×C4⋊C4C2411yescharacteristic
1095C2×C4⋊C4C2411yescharacteristic
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2411yescharacteristic
1098C2×C22⋊C4C2411yescharacteristic
1099C2×C22⋊C4C2411yescharacteristic
1100C2×C22⋊C4C2411yescharacteristic
1101C2×C22⋊C4C2411yescharacteristic
1102C2×C22⋊C4C2411yescharacteristic
1103C2×C22⋊C4C2411yescharacteristic
1104C2×C22⋊C4C2411yescharacteristic
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2411yescharacteristic
1115C2×C22⋊C4C2411yescharacteristic
1116C2×C22⋊C4C2411yescharacteristic
1117C2×C22⋊C4C2411yescharacteristic
1118C2×C22⋊C4C2411yescharacteristic
1119C2×C22⋊C4C2411yescharacteristic
1120C2×C22⋊C4C2411yescharacteristic
1121C2×C22⋊C4C2411yescharacteristic
1122C2×C22⋊C4C2411yescharacteristic
1123C2×C22⋊C4C2411yescharacteristic
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2411yescharacteristic
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2411yescharacteristic
1135C2×C22⋊C4C2411yescharacteristic
1136C2×C22⋊C4C2411yescharacteristic
1137C2×C22⋊C4C2411yescharacteristic
1138C2×C22⋊C4C2411yescharacteristic
1139C2×C22⋊C4C2411yescharacteristic
1140C2×C22⋊C4C2411yescharacteristic
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2414yes—
1149C2×C42—24no—
1150C2×C42—24no—
1151C2×C42—24no—
1152C2×C42—24no—
1153C2×C42—24no—
1154C2×C42—24no—
1155C2×C42—48no—
1156C2×C42—42no—
1157C2×C42—42no—
1158C2×C42—42no—
1159C2×C42C2411yescharacteristic
1160C2×C42C2414yes—
1161C2×C42C2411yescharacteristic
1162C2×C42C2411yescharacteristic
1163C2×C42C2411yescharacteristic
1164C2×C42C2411yescharacteristic
1165C2×C42C2411yescharacteristic
1166C2×C42C2411yescharacteristic
1167C2×C42C2411yescharacteristic
1168C2×C42C2411yescharacteristic
1169C2×C42C2411yescharacteristic
1170C2×C42C2411yescharacteristic
1171C2×C42C2411yescharacteristic
1172C2×C42C2411yescharacteristic
1173C2×C42C2411yescharacteristic
1174C2×C42C2411yescharacteristic
1175C2×C42C2411yescharacteristic
1176C2×C42C2411yescharacteristic
1177C2×C42C2411yescharacteristic
1178C2×C42C2411yescharacteristic
1179C2×C42C2411yescharacteristic
1180C2×C42C2411yescharacteristic
1181C2×C42C2411yescharacteristic
1182C2×C42C2411yescharacteristic
1183C2×C42C2411yescharacteristic
1184C2×C42C2411yescharacteristic
1185C2×C42C2411yescharacteristic
1186C2×C42C2411yescharacteristic
1187C2×C42C2411yescharacteristic
1188C2×C42C2411yescharacteristic
1189C2×C42C2411yescharacteristic
1190C2×C42C2411yescharacteristic
1191C2×C42C2411yescharacteristic
1192C2×C42C2411yescharacteristic
1193C2×C42C2411yescharacteristic
1194C2×C42C2411yescharacteristic
1195C2×C42C2414yes—
1196C2×C42C2414yes—
1197C2×C42C2414yes—
1198C2×C42C2414yes—
1199C2×C42C2414yes—
1200C2×C42C2414yes—
1201C2×C42C2414yes—
1202C2×C42C2414yes—
1203C2×C42C2411yescharacteristic
1204C2×C42C2411yescharacteristic
1205C2×C42C2411yescharacteristic
1206C2×C42C2411yescharacteristic
1207C2×C42C2411yescharacteristic
1208C2×C42C2411yescharacteristic
1209C2×C42C2411yescharacteristic
1210C2×C42C2411yescharacteristic
1211C2×C42C2411yescharacteristic
1212C2×C42C2411yescharacteristic
1213C2×C42C2411yescharacteristic
1214#95C2411yescharacteristic
1215#95C2411yescharacteristic
1216#95C2411yescharacteristic
1217#95C2411yescharacteristic
1218#95C2414yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2414yes—
1223#95C2414yes—
1224#95C2414yes—
1225#95C2414yes—
1226#95C2414yes—
1227#95C2414yes—
1228#95C2414yes—
1229#95C2414yes—
1230#95C2411yescharacteristic
1231#95C2411yescharacteristic
1232#95C2411yescharacteristic
1233#95C2411yescharacteristic
1234#95C2411yescharacteristic
1235#95C2411yescharacteristic
1236#95C2411yescharacteristic
1237#95C2411yescharacteristic
1238#95C2411yescharacteristic
1239#95C2411yescharacteristic
1240#95C2411yescharacteristic
1241#95C2411yescharacteristic
1242#95C2411yescharacteristic
1243#95C2411yescharacteristic
1244#95C2414yes—
1245#95C2414yes—
1246#95C2414yes—
1247#95C2414yes—
1248#95C2411yescharacteristic
1249#95C2411yescharacteristic
1250#95C2411yescharacteristic
1251#95C2414yes—
1252#95C2414yes—
1253#95C2411yescharacteristic
1254#95C2411yescharacteristic
1255#95C2411yescharacteristic
1256#95C2411yescharacteristic
1257#95C2411yescharacteristic
1258#95C2414yes—
1259#95C2411yescharacteristic
1260#95C2411yescharacteristic
1261#95C2411yescharacteristic
1262#95C2411yescharacteristic
1263#95C2411yescharacteristic
1264#95C2411yescharacteristic
1265#95C2414yes—
1266#95C2414yes—
1267#95C2414yes—
1268#95C2411yescharacteristic
1269#95C2411yescharacteristic
1270#95C2414yes—
1271#95C2414yes—
1272#95C2411yescharacteristic
1273#95C2411yescharacteristic
1274#95C2411yescharacteristic
1275#95C2411yescharacteristic
1276#95C2411yescharacteristic
1277#95C2411yescharacteristic
1278#95C2414yes—
1279#95C2414yes—
1280#95C2414yes—
1281#95C2414yes—
1282#95C2414yes—
1283#95C2414yes—
1284#95C2414yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2414yes—
1290#95C2414yes—
1291#95C2414yes—
1292#95C2414yes—
1293#95C2414yes—
1294#95C2414yes—
1295#95C2414yes—
1296C24C2511yescharacteristic
1297C24C2511yescharacteristic
1298C24C2514yes—
1299C24C2511yescharacteristic
1300#41—432no—
1301#41—816no—
1302#41—816no—
1303C2×Q8—24no—
1304C2×Q8—24no—
1305C2×Q8—24no—
1306C2×Q8—28no—
1307C2×Q8—24no—
1308C2×Q8—24no—
1309C2×Q8—24no—
1310C2×Q8—24no—
1311C2×Q8—24no—
1312C2×Q8—24no—
1313C2×Q8—41no—
1314C2×Q8—41no—
1315C2×Q8—44no—
1316C2×Q8—44no—
1317C2×Q8C2×#4114yes—
1318C2×D4—28no—
1319C2×D4—22no—
1320C2×D4—22no—
1321C2×D4—28no—
1322C2×D4—28no—
1323C2×D4—28no—
1324C2×D4—24no—
1325C2×D4—22no—
1326C2×D4—22no—
1327C2×D4—22no—
1328C2×D4—24no—
1329C2×D4—24no—
1330C2×D4—24no—
1331C2×D4—24no—
1332C2×D4—24no—
1333C2×D4—41no—
1334C2×D4—41no—
1335C2×D4—41no—
1336C2×D4—41no—
1337C2×D4—44no—
1338C2×D4—44no—
1339C2×D4—44no—
1340C2×D4—44no—
1341C2×D4—44no—
1342C2×D4C2×#4118yes—
1343C2×D4C2×#4118yes—
1344C2×D4C2×#4118yes—
1345C22×C4—22no—
1346C22×C4—22no—
1347C22×C4—28no—
1348C22×C4—22no—
1349C22×C4—22no—
1350C22×C4—28no—
1351C22×C4—28no—
1352C22×C4—22no—
1353C22×C4—22no—
1354C22×C4—22no—
1355C22×C4—22no—
1356C22×C4—22no—
1357C22×C4—22no—
1358C22×C4—22no—
1359C22×C4—22no—
1360C22×C4—22no—
1361C22×C4—22no—
1362C22×C4—22no—
1363C22×C4—22no—
1364C22×C4—22no—
1365C22×C4—28no—
1366C22×C4—22no—
1367C22×C4—22no—
1368C22×C4—22no—
1369C22×C4—22no—
1370C22×C4—22no—
1371C22×C4—22no—
1372C22×C4—22no—
1373C22×C4—22no—
1374C22×C4—22no—
1375C22×C4—22no—
1376C22×C4—22no—
1377C22×C4—22no—
1378C22×C4—22no—
1379C22×C4—22no—
1380C22×C4—22no—
1381C22×C4—28no—
1382C22×C4—28no—
1383C22×C4—28no—
1384C22×C4—28no—
1385C22×C4—41no—
1386C22×C4—41no—
1387C22×C4—41no—
1388C22×C4—41no—
1389C22×C4—41no—
1390C22×C4—41no—
1391C22×C4—44no—
1392C22×C4—44no—
1393C22×C4—44no—
1394C22×C4—44no—
1395C22×C4—44no—
1396C22×C4—44no—
1397C22×C4—44no—
1398C22×C4—44no—
1399C22×C4—44no—
1400C22×C4—44no—
1401C22×C4—44no—
1402C22×C4—44no—
1403C22×C4—44no—
1404C22×C4H(5,𝔽2)14yes—
1405C22×C4C2511yescharacteristic
1406C22×C4C2511yescharacteristic
1407C22×C4C2511yescharacteristic
1408C22×C4C2511yescharacteristic
1409C22×C4C2511yescharacteristic
1410C22×C4C2514yes—
1411C22×C4C2511yescharacteristic
1412C22×C4C2511yescharacteristic
1413C22×C4C2511yescharacteristic
1414C22×C4C2511yescharacteristic
1415C22×C4C2511yescharacteristic
1416C22×C4C2511yescharacteristic
1417C22×C4C2511yescharacteristic
1418C22×C4C2514yes—
1419C22×C4C2514yes—
1420C22×C4C2514yes—
1421C22×C4C2514yes—
1422C22×C4C2511yescharacteristic
1423C22×C4C2511yescharacteristic
1424C22×C4C2514yes—
1425C22×C4C2514yes—
1426C22×C4C2511yescharacteristic
1427C22×C4C2511yescharacteristic
1428C22×C4C2511yescharacteristic
1429C22×C4C2511yescharacteristic
1430C22×C4C2511yescharacteristic
1431C22×C4C2511yescharacteristic
1432C22×C4C2511yescharacteristic
1433C22×C4C2511yescharacteristic
1434C22×C4C2511yescharacteristic
1435C22×C4C2511yescharacteristic
1436C22×C4C2511yescharacteristic
1437C22×C4C2511yescharacteristic
1438C22×C4C2511yescharacteristic
1439C22×C4C2511yescharacteristic
1440C4⋊C4—28no—
1441C4⋊C4—28no—
1442C4⋊C4—28no—
1443C4⋊C4—22no—
1444C4⋊C4—22no—
1445C4⋊C4—22no—
1446C4⋊C4—22no—
1447C4⋊C4—24no—
1448C4⋊C4—24no—
1449C4⋊C4—24no—
1450C4⋊C4—24no—
1451C4⋊C4—24no—
1452C4⋊C4—24no—
1453C4⋊C4—22no—
1454C4⋊C4—24no—
1455C4⋊C4—22no—
1456C4⋊C4—22no—
1457C4⋊C4—24no—
1458C4⋊C4—24no—
1459C4⋊C4—28no—
1460C4⋊C4—28no—
1461C4⋊C4—22no—
1462C4⋊C4—28no—
1463C4⋊C4—24no—
1464C4⋊C4—24no—
1465C4⋊C4—24no—
1466C4⋊C4—22no—
1467C4⋊C4—22no—
1468C4⋊C4—22no—
1469C4⋊C4—22no—
1470C4⋊C4—22no—
1471C4⋊C4—24no—
1472C4⋊C4—24no—
1473C4⋊C4—24no—
1474C4⋊C4—24no—
1475C4⋊C4—24no—
1476C4⋊C4—24no—
1477C4⋊C4—44no—
1478C4⋊C4—44no—
1479C4⋊C4—44no—
1480C4⋊C4—44no—
1481C4⋊C4—41no—
1482C4⋊C4—41no—
1483C4⋊C4—41no—
1484C4⋊C4—41no—
1485C4⋊C4—41no—
1486C4⋊C4—41no—
1487C4⋊C4—41no—
1488C4⋊C4—41no—
1489C4⋊C4—41no—
1490C4⋊C4—41no—
1491C4⋊C4—44no—
1492C4⋊C4—44no—
1493C4⋊C4—44no—
1494C4⋊C4—44no—
1495C4⋊C4—44no—
1496C4⋊C4—44no—
1497C4⋊C4—44no—
1498C4⋊C4—44no—
1499C4⋊C4—44no—
1500C4⋊C4—44no—
1501C4⋊C4—44no—
1502C4⋊C4—44no—
1503C4⋊C4—44no—
1504C4⋊C4C2×#4114yes—
1505C4⋊C4C2×#4114yes—
1506C4⋊C4C2×#4114yes—
1507C22⋊C4—28no—
1508C22⋊C4—28no—
1509C22⋊C4—28no—
1510C22⋊C4—28no—
1511C22⋊C4—28no—
1512C22⋊C4—28no—
1513C22⋊C4—28no—
1514C22⋊C4—22no—
1515C22⋊C4—22no—
1516C22⋊C4—28no—
1517C22⋊C4—22no—
1518C22⋊C4—22no—
1519C22⋊C4—22no—
1520C22⋊C4—22no—
1521C22⋊C4—28no—
1522C22⋊C4—28no—
1523C22⋊C4—28no—
1524C22⋊C4—22no—
1525C22⋊C4—22no—
1526C22⋊C4—22no—
1527C22⋊C4—22no—
1528C22⋊C4—22no—
1529C22⋊C4—22no—
1530C22⋊C4—22no—
1531C22⋊C4—22no—
1532C22⋊C4—22no—
1533C22⋊C4—22no—
1534C22⋊C4—22no—
1535C22⋊C4—22no—
1536C22⋊C4—28no—
1537C22⋊C4—44no—
1538C22⋊C4—44no—
1539C22⋊C4—44no—
1540C22⋊C4—44no—
1541C22⋊C4—44no—
1542C22⋊C4—44no—
1543C22⋊C4—41no—
1544C22⋊C4—41no—
1545C22⋊C4—41no—
1546C22⋊C4—41no—
1547C22⋊C4—41no—
1548C22⋊C4—44no—
1549C22⋊C4—41no—
1550C22⋊C4—44no—
1551C22⋊C4—44no—
1552C22⋊C4—41no—
1553C22⋊C4—41no—
1554C22⋊C4—44no—
1555C22⋊C4—44no—
1556C22⋊C4—44no—
1557C22⋊C4—44no—
1558C22⋊C4—44no—
1559C22⋊C4—44no—
1560C42—22no—
1561C42—22no—
1562C42—22no—
1563C42—22no—
1564C42—22no—
1565C42—22no—
1566C42—22no—
1567C42—22no—
1568C42—22no—
1569C42—22no—
1570C42—22no—
1571C42—22no—
1572C42—22no—
1573C42—22no—
1574C42—22no—
1575C42—22no—
1576C42—28no—
1577C42—22no—
1578C42—22no—
1579C42—22no—
1580C42—22no—
1581C42—22no—
1582C42—22no—
1583C42—22no—
1584C42—22no—
1585C42—22no—
1586C42—22no—
1587C42—22no—
1588C42—22no—
1589C42—22no—
1590C42—22no—
1591C42—22no—
1592C42—22no—
1593C42—22no—
1594C42—22no—
1595C42—22no—
1596C42—41no—
1597C42—41no—
1598C42—41no—
1599C42—41no—
1600C42—41no—
1601C42—41no—
1602C42—44no—
1603C42—44no—
1604C42—44no—
1605C42—44no—
1606C42—44no—
1607C42—44no—
1608C42—44no—
1609C42—44no—
1610C42C2×#4114yes—
1611C42C2×#4114yes—
1612C42C2×#4114yes—
1613C42C2×#4114yes—
1614C422−1+414yes—
1615C23—24no—
1616C23—21no—
1617C23—21no—
1618C23—24no—
1619C23—24no—
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—24no—
1624C23—24no—
1625C23—24no—
1626C23—21no—
1627C23—21no—
1628C23—21no—
1629C23—21no—
1630C23—21no—
1631C23—21no—
1632C23—21no—
1633C23—21no—
1634C23—21no—
1635C23—21no—
1636C23—21no—
1637C23—21no—
1638C23—21no—
1639C23—21no—
1640C23—21no—
1641C23C22×#4118yes—
1642C23C2×H(5,𝔽2)12yes—
1643C23C2611yescharacteristic
1644Q8—44no—
1645Q8—48no—
1646Q8—48no—
1647Q8—48no—
1648Q8—88no—
1649D4—216no—
1650D4—216no—
1651D4—216no—
1652D4—44no—
1653D4—44no—
1654D4—44no—
1655D4—416no—
1656D4—88no—
1657D4—88no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—28no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—24no—
1691C2×C4—24no—
1692C2×C4—24no—
1693C2×C4—24no—
1694C2×C4—24no—
1695C2×C4—24no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—24no—
1699C2×C4—24no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—24no—
1704C2×C4—24no—
1705C2×C4—24no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—24no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—24no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—24no—
1734C2×C4—24no—
1735C2×C4—24no—
1736C2×C4—24no—
1737C2×C4—24no—
1738C2×C4—24no—
1739C2×C4—24no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—24no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—44no—
1747C2×C4—44no—
1748C2×C4—416no—
1749C2×C4—44no—
1750C2×C4—44no—
1751C2×C4—44no—
1752C2×C4—44no—
1753C2×C4—44no—
1754C2×C4—44no—
1755C2×C4—44no—
1756C2×C4—44no—
1757C2×C4—44no—
1758C2×C4—44no—
1759C2×C4—88no—
1760C2×C4—88no—
1761C2×C4—88no—
1762C2×C4—88no—
1763C2×C4—88no—
1764C2×C4—88no—
1765C2×C4C22×#4112yes—
1766C2×C4C22×#4112yes—
1767C2×C4C22×#4112yes—
1768C2×C4C22×#4112yes—
1769C2×C4C22×#4112yes—
1770C2×C4C22×#4112yes—
1771C2×C4C22×#4112yes—
1772C2×C4C22×#4112yes—
1773C2×C4C22×#4112yes—
1774C2×C4C22×#4112yes—
1775C2×C4C2×H(5,𝔽2)12yes—
1776C2×C4C2×H(5,𝔽2)12yes—
1777C2×C4C2×2−1+412yes—
1778C2×C4C2×2−1+412yes—
1779C2×C4C2×2−1+412yes—
1780C2×C4#58512yes—
1781C2×C4#58512yes—
1782C2×C4#58512yes—
1783C22—22no—
1784C22—28no—
1785C22—28no—
1786C22—22no—
1787C22—22no—
1788C22—28no—
1789C22—41no—
1790C22—44no—
1791C22—41no—
1792C22—44no—
1793C22—44no—
1794C22—41no—
1795C22—44no—
1796C22—41no—
1797C22—41no—
1798C22—41no—
1799C22—41no—
1800C22—41no—
1801C22—41no—
1802C22—41no—
1803C22—41no—
1804C22—41no—
1805C22—41no—
1806C22—41no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—41no—
1811C22C23×#4111yescharacteristic
1812C22C23×#4111yescharacteristic
1813C22C22×H(5,𝔽2)11yescharacteristic
1814C22C22×2−1+411yescharacteristic
1815C22C2×#58511yescharacteristic
1816C22C2×#58511yescharacteristic
1817C22C2×#58511yescharacteristic
1818C4—22no—
1819C4—22no—
1820C4—22no—
1821C4—22no—
1822C4—22no—
1823C4—22no—
1824C4—22no—
1825C4—22no—
1826C4—22no—
1827C4—41no—
1828C4—41no—
1829C4—44no—
1830C4—44no—
1831C4—41no—
1832C4—41no—
1833C4—41no—
1834C4—44no—
1835C4—41no—
1836C4—44no—
1837C4—44no—
1838C4—41no—
1839C4—44no—
1840C4—41no—
1841C4—41no—
1842C4—41no—
1843C4—44no—
1844C4—41no—
1845C4—41no—
1846C4—41no—
1847C4—41no—
1848C4—41no—
1849C4—41no—
1850C4#348214yes—
1851C4#351314yes—
1852C4#352114yes—
1853C2—42no—
1854C2—48no—
1855C2—81no—
1856C2—81no—
1857C2C2×#348211yescharacteristic
1858C2C2×#351311yescharacteristic
1859C2C2×#352111yescharacteristic
1860C2#6280011yescharacteristic
1861C2#6281511yescharacteristic
1862C2#6283511yescharacteristic
1863C2#6283811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59960C2semidirect
2. #59944C2semidirect
3. #59904C2semidirect
4. #59811C2semidirect
5. #59575C2semidirect
6. #59486C2semidirect
7. #59398C2semidirect
8. #59381C2semidirect
9. #40081C2semidirect
10. #40080C2semidirect
11. #40069C2semidirect
12. #40068C2semidirect
13. #39118C2semidirect
14. #38926C2semidirect
15. #38278C2semidirect
16. #38276C2semidirect
17. #36635C2semidirect
18. #36598C2semidirect
19. #36559C2semidirect
20. #36507C2semidirect
21. #36443C2semidirect
22. #36241C2semidirect
23. #36217C2semidirect
24. #36210C2semidirect
25. #36210C2semidirect
26. #36188C2semidirect
27. #36149C2semidirect
28. #36149C2semidirect
29. #36127C2semidirect
30. #35552C2semidirect
31. #35550C2semidirect
32. #35284C2semidirect
33. #35283C2semidirect
34. #35218C2semidirect
35. #34333C2semidirect
36. #34226C2semidirect
37. #34226C2semidirect
38. C4×#532C2semidirect
39. C4×#529C2semidirect
989. C4×Q8#41semidirect

Maximal subgroups

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

subgroupindex
#599602
#599442
#599042
#598112
#595752
#594862
#593982
#593812
#400812
#400802
#400692
#400682
#391182
#389262
#382782
#382762
#366352
#365982
#365592
#365072
#364432
#362412
#362172
#362102
#361882
#361492
#361272
#355522
#355502
#352842
#352832
#352182
#343332
#342262
C4×#5322
C4×#5292