Finite Group Databasebeta

← #7681164

Subgroups — #7681164

Order 512.

5305 conjugacy classes of subgroups.

The subgroup lattice has 1829 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59857C212yesmaximal, complemented
2#59856C212yesmaximal, complemented
3#59689C214yesmaximal, complemented
4#59686C214yesmaximal, complemented
5#59677C212yesmaximal, complemented
6#59548C212yesmaximal, complemented
7#45397C212yesmaximal, complemented
8#45371C212yesmaximal, complemented
9#44976C212yesmaximal, complemented
10#44975C212yesmaximal, complemented
11#43269C214yesmaximal, complemented
12#43226C214yesmaximal, complemented
13#39261C212yesmaximal, complemented
14#39260C212yesmaximal, complemented
15#39259C212yesmaximal, complemented
16#39258C212yesmaximal, complemented
17#39191C212yesmaximal, complemented
18#39186C212yesmaximal, complemented
19#36498C212yesmaximal, complemented
20#36477C212yesmaximal, complemented
21#35564C211yesmaximal, characteristic, complemented
22#35557C211yesmaximal, characteristic, complemented
23#35518C211yesmaximal, characteristic, complemented
24#35518C211yesmaximal, characteristic, complemented
25#35265C211yesmaximal, characteristic, complemented
26#35263C211yesmaximal, characteristic, complemented
27#35255C211yesmaximal, characteristic, complemented
28C2×#2497C211yesmaximal, characteristic, complemented
29#34743C211yesmaximal, characteristic, complemented
30#34252C211yesmaximal, characteristic, complemented
31#34250C211yesmaximal, characteristic, complemented
32#34207C211yesmaximal, characteristic, complemented
33#34202C211yesmaximal, characteristic, complemented
34#34136C211yesmaximal, characteristic, complemented
35C4×#537C211yesmaximal, characteristic, complemented
36C2×#537C2211yescharacteristic
37C2×#537C2211yescharacteristic
38C2×#532C2211yescharacteristic
39C2×#525C2211yescharacteristic
40C2×#525C2211yescharacteristic
41C2×#525C2211yescharacteristic
42C2×#520C2211yescharacteristic
43C2×#520C2211yescharacteristic
44C2×#520C2211yescharacteristic
45C2×C4×#41C2211yescharacteristic
46C2×C4×#41C2211yescharacteristic
47C22×#117C2211yescharacteristic
48#2864C2212yescomplemented
49#2859C2212yescomplemented
50#2855C2212yes—
51#2855C2212yescomplemented
52#2854C2212yes—
53#2854C2212yescomplemented
54#2802C2214yescomplemented
55#2802C2214yescomplemented
56#2800C2214yes—
57#2800C2214yes—
58#2795C2214yes—
59#2786C2214yescomplemented
60#2782C2214yescomplemented
61#2781C2214yes—
62#2780C2214yes—
63#2779C2214yescomplemented
64#2772C2214yescomplemented
65#2770C2214yescomplemented
66#2753C2214yes—
67#2753C2214yes—
68#2753C2214yescomplemented
69#2750C2214yes—
70#2749C2214yes—
71#2747C2214yescomplemented
72#2739C2214yescomplemented
73#2718C2214yescomplemented
74#2711C2214yes—
75#2711C2214yescomplemented
76#2701C2214yes—
77#2691C2214yes—
78#2647C2212yescomplemented
79#2647C2212yescomplemented
80#2625C2212yes—
81#2625C2212yescomplemented
82#2624C2212yes—
83#2624C2212yescomplemented
84#2608C2214yes—
85#2608C2214yescomplemented
86#2603C2214yes—
87#2601C2214yescomplemented
88#2597C2214yescomplemented
89#2597C2214yescomplemented
90#2596C2214yescomplemented
91#2595C2214yes—
92#2595C2214yescomplemented
93#2593C2214yes—
94#2587C2214yes—
95#2587C2214yescomplemented
96#2579C2214yes—
97#2570C2214yescomplemented
98#2569C2214yescomplemented
99#2566C2214yes—
100#2559C2214yes—
101#2554C2214yes—
102#2543C2214yes—
103#2538C2212yes—
104#2538C2212yes—
105#2537C2212yes—
106#2537C2212yes—
107#2536C2212yes—
108#2536C2212yes—
109#2535C2212yes—
110#2535C2212yes—
111#2530C2214yescomplemented
112#2529C2214yes—
113#2529C2214yescomplemented
114#2525C2214yes—
115#2525C2214yescomplemented
116#2522C2214yescomplemented
117#2512C2212yescomplemented
118#2512C2212yescomplemented
119#2511C2212yescomplemented
120#2511C2212yescomplemented
121#2509C2212yescomplemented
122#2508C2212yescomplemented
123#2507C2212yescomplemented
124#2506C2212yescomplemented
125#2505C2214yes—
126#2498C2214yes—
127#2497C2212yes—
128#2497C2212yes—
129#2497C2212yes—
130#2497C2212yes—
131#2497C2212yes—
132#2497C2212yes—
133#2497C2212yes—
134#2497C2212yes—
135#2497C2212yescomplemented
136#2497C2212yescomplemented
137#2496C2212yescomplemented
138#2496C2212yescomplemented
139#2487C2212yes—
140#2487C2214yescomplemented
141#2486C2212yes—
142#2485C2212yes—
143#2485C2212yes—
144#2485C2214yescomplemented
145#2481C2214yes—
146#2481C2214yes—
147#2481C2214yescomplemented
148#2473C2214yes—
149#2470C2214yes—
150#2468C2214yescomplemented
151#2457C2214yes—
152#2457C2214yescomplemented
153#2456C2214yes—
154#2456C2214yes—
155#2444C2214yes—
156#2444C2214yes—
157#2443C2214yes—
158#2429C2211yescharacteristic
159#2429C2211yescharacteristic
160#2429C2212yescomplemented
161#2428C2211yescharacteristic
162#2428C2211yescharacteristic
163#2428C2212yescomplemented
164#2427C2211yescharacteristic
165#2427C2211yescharacteristic
166#2427C2212yescomplemented
167#2426C2211yescharacteristic
168#2426C2211yescharacteristic
169#2426C2212yescomplemented
170#2425C2212yes—
171#2425C2214yes—
172#2425C2214yes—
173#2425C2212yes—
174#2424C2212yes—
175#2424C2214yes—
176#2424C2214yes—
177#2424C2212yes—
178#2423C2212yescomplemented
179#2422C2212yescomplemented
180#2421C2212yescomplemented
181#2420C2212yescomplemented
182#2417C2212yes—
183#2417C2212yes—
184#2417C2212yescomplemented
185#2416C2214yes—
186#2416C2214yes—
187#2416C2212yes—
188#2416C2212yes—
189#2416C2212yescomplemented
190#2415C2212yes—
191#2415C2212yes—
192#2415C2212yescomplemented
193#2414C2214yes—
194#2414C2212yes—
195#2414C2212yes—
196#2414C2212yescomplemented
197#2412C2214yes—
198C2×#400C2212yes—
199#2392C2212yes—
200#2392C2212yes—
201C2×#396C2212yes—
202#2370C2214yescomplemented
203#2364C2214yes—
204#2364C2214yescomplemented
205#2363C2211yescharacteristic
206#2363C2211yescharacteristic
207#2362C2211yescharacteristic
208#2362C2211yescharacteristic
209#2361C2214yes—
210#2361C2214yes—
211#2361C2211yescharacteristic
212#2361C2211yescharacteristic
213#2360C2211yescharacteristic
214#2360C2211yescharacteristic
215#2359C2212yes—
216#2359C2214yes—
217#2359C2212yes—
218#2358C2212yes—
219#2358C2214yes—
220#2358C2212yes—
221#2357C2214yes—
222#2357C2212yescomplemented
223#2356C2212yescomplemented
224#2355C2212yescomplemented
225#2354C2212yes—
226#2354C2212yescomplemented
227#2354C2212yescomplemented
228#2354C2212yescomplemented
229#2352C2212yes—
230#2352C2212yes—
231#2351C2212yescomplemented
232Q8×C4⋊C4C2212yescomplemented
233#2349C2214yes—
234#2349C2212yescomplemented
235D4×C4⋊C4C2214yes—
236D4×C4⋊C4C2212yes—
237D4×C4⋊C4C2212yescomplemented
238D4×C4⋊C4C2212yescomplemented
239D4×C4⋊C4C2212yescomplemented
240#2347C2212yescomplemented
241#2346C2212yescomplemented
242#2345C2212yescomplemented
243#2344C2212yescomplemented
244#2326C2212yescomplemented
245#2326C2212yescomplemented
246#2325C2214yes—
247#2324C2212yes—
248#2324C2212yescomplemented
249#2324C2212yescomplemented
250#2323C2212yes—
251#2323C2212yescomplemented
252#2323C2212yescomplemented
253#2318C2214yes—
254#2317C2211yescharacteristic
255#2317C2211yescharacteristic
256#2317C2211yescharacteristic
257#2317C2212yescomplemented
258#2316C2211yescharacteristic
259#2316C2211yescharacteristic
260#2316C2212yescomplemented
261#2311C2211yescharacteristic
262#2311C2211yescharacteristic
263#2311C2211yescharacteristic
264#2311C2211yescharacteristic
265#2311C2211yescharacteristic
266C4×C4⋊Q8C2212yescomplemented
267C4×#127C2212yescomplemented
268C4×C22⋊Q8C2212yes—
269C4×C22⋊Q8C2212yescomplemented
270C4×C22⋊Q8C2212yescomplemented
271C4×#121C2212yes—
272C4×#121C2214yes—
273C4×#121C2212yes—
274C4×#121C2212yes—
275C4×#121C2212yescomplemented
276C4×#121C2212yescomplemented
277#2297C2211yescharacteristic
278#2297C2211yescharacteristic
279#2296C2211yescharacteristic
280#2296C2211yescharacteristic
281#2296C2212yescomplemented
282#2293C2212yes—
283C2×#389C2211yescharacteristic
284C2×#389C2211yescharacteristic
285C2×#389C2212yescomplemented
286#2290C2214yes—
287#2290C2212yes—
288#2290C2212yes—
289C2×#388C2212yes—
290C2×#387C2212yes—
291C2×#384C2211yescharacteristic
292C2×#380C2211yescharacteristic
293C2×#380C2211yescharacteristic
294#2274C2211yescharacteristic
295C42×D4C2212yes—
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C22×#41C2311yescharacteristic
302C24×C4C2311yescharacteristic
303#537—28no—
304#537—44no—
305#532—28no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×#127C2311yescharacteristic
308C2×#126C2314yes—
309C2×#126C2314yes—
310C2×#125C2314yes—
311C2×#124C2311yescharacteristic
312C2×#124C2311yescharacteristic
313#525—28no—
314#525—28no—
315#525—44no—
316C2×#123C2312yes—
317C2×#123C2312yes—
318C2×#123C2312yes—
319C2×#123C2314yes—
320C2×#123C2314yes—
321C2×C22⋊Q8C2311yescharacteristic
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2311yescharacteristic
325C2×C22⋊Q8C2311yescharacteristic
326C2×C22⋊Q8C2311yescharacteristic
327C2×C22⋊Q8C2311yescharacteristic
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2311yescharacteristic
330C2×C22⋊Q8C2312yes—
331C2×#121C2311yescharacteristic
332C2×#121C2312yes—
333C2×#121C2312yes—
334C2×#121C2314yes—
335C2×#121C2311yescharacteristic
336C2×#121C2312yes—
337C2×#121C2312yes—
338C2×#121C2311yescharacteristic
339C2×#121C2312yes—
340C2×#121C2311yescharacteristic
341C2×#121C2311yescharacteristic
342C2×#121C2312yes—
343C2×#121C2314yes—
344C2×#121C2311yescharacteristic
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2314yes—
348C2×#121C2314yes—
349C2×#121C2314yes—
350C2×#120C2312yes—
351C2×#120C2312yes—
352C2×#120C2312yes—
353#520—28no—
354#520—28no—
355#520—44no—
356C4×#41—44no—
357C4×#41—44no—
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2311yescharacteristic
363C2×C4×Q8C2311yescharacteristic
364C2×C4×Q8C2311yescharacteristic
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2314yes—
368C2×C4×D4C2314yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2314yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2312yes—
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2314yes—
390C2×C4×D4C2314yes—
391C2×C4×D4C2314yes—
392C2×C4×D4C2314yes—
393C2×#117—44no—
394C2×#117C2311yescharacteristic
395C2×#117C2311yescharacteristic
396C2×#117C2311yescharacteristic
397C2×#117C2311yescharacteristic
398C2×#117C2312yes—
399C2×#117C2312yes—
400C2×#117C2312yes—
401C2×#117C2312yes—
402C2×#117C2312yes—
403C2×#117C2312yes—
404C2×#117C2311yescharacteristic
405C2×#117C2311yescharacteristic
406C2×#117C2312yes—
407C2×#117C2314yes—
408C2×#117C2311yescharacteristic
409C22×C4⋊C4C2311yescharacteristic
410C22×C4⋊C4C2311yescharacteristic
411C22×C4⋊C4C2311yescharacteristic
412C22×C4⋊C4C2312yes—
413C22×C4⋊C4C2311yescharacteristic
414C22×C4⋊C4C2312yes—
415C22×C4⋊C4C2312yes—
416C22×C4⋊C4C2311yescharacteristic
417C22×C4⋊C4C2311yescharacteristic
418C22×C4⋊C4C2312yes—
419C22×C4⋊C4C2314yes—
420C22×C4⋊C4C2312yes—
421C22×C4⋊C4C2312yes—
422C22×C4⋊C4C2312yes—
423C22×C22⋊C4C2311yescharacteristic
424C22×C22⋊C4C2312yes—
425C22×C22⋊C4C2311yescharacteristic
426C22×C22⋊C4C2312yes—
427C22×C22⋊C4C2312yes—
428C22×C42C2311yescharacteristic
429C22×C42C2311yescharacteristic
430C22×C42C2312yes—
431C22×C42C2312yes—
432C22×C42C2312yes—
433C22×C42C2312yes—
434#400C2314yes—
435#400C2314yes—
436#400C2314yes—
437#400C2314yes—
438#400C2314yes—
439#400C2314yes—
440#400C2314yes—
441#400C2314yes—
442#400C2314yes—
443#400C2314yes—
444#400C2314yes—
445#400C2314yes—
446#400C2314yes—
447#400C2314yes—
448#399C2314yes—
449#399C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2312yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2314yes—
458#398C2314yes—
459#398C2312yes—
460#398C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2312yes—
472#397C2312yes—
473#397C2314yes—
474#396C2312yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2312yes—
484#396C2314yes—
485#396C2314yes—
486#396C2312yes—
487#396C2312yes—
488#396C2314yes—
489#396C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2312yes—
495#394C2314yes—
496#394C2314yes—
497#394C2312yes—
498#394C2314yes—
499#394C2314yes—
500#394C2312yes—
501#394C2312yes—
502#394C2312yes—
503#394C2312yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#392C2314yes—
510#392C2312yes—
511#392C2312yes—
512#392C2314yes—
513#392C2314yes—
514#391C2312yes—
515#391C2312yes—
516#391C2312yes—
517#391C2312yes—
518#391C2312yes—
519#391C2311yescharacteristic
520#391C2311yescharacteristic
521#391C2311yescharacteristic
522#391C2311yescharacteristic
523#390C2312yes—
524#390C2312yes—
525#390C2314yes—
526#390C2314yes—
527#390C2314yes—
528#390C2314yes—
529#390C2312yes—
530#390C2312yes—
531#390C2312yes—
532#390C2314yes—
533#390C2314yes—
534#390C2312yes—
535#390C2314yes—
536#390C2311yescharacteristic
537#390C2311yescharacteristic
538#390C2312yes—
539#390C2312yes—
540#390C2311yescharacteristic
541#390C2311yescharacteristic
542#390C2312yes—
543#389C2314yes—
544#389C2314yes—
545#389C2314yes—
546#389C2314yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2311yescharacteristic
556#389C2312yes—
557#389C2312yes—
558#389C2314yes—
559#389C2314yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2311yescharacteristic
566#389C2314yes—
567#389C2314yes—
568#389C2314yes—
569#389C2314yes—
570#389C2312yes—
571#389C2311yescharacteristic
572#389C2311yescharacteristic
573#389C2311yescharacteristic
574#389C2314yes—
575#389C2312yes—
576#389C2314yes—
577#389C2312yes—
578#389C2314yes—
579#389C2312yes—
580#389C2311yescharacteristic
581#389C2312yes—
582#389C2312yes—
583#389C2311yescharacteristic
584#389C2311yescharacteristic
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2312yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2312yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2312yes—
615#388C2314yes—
616#388C2312yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2312yes—
622#388C2314yes—
623#388C2314yes—
624#388C2312yes—
625#388C2312yes—
626#388C2312yes—
627#388C2312yes—
628#388C2312yes—
629#388C2312yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2312yes—
634#387C2312yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2312yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2312yes—
660#387C2312yes—
661#387C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2312yes—
668#386C2312yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2312yes—
674#386C2314yes—
675#386C2312yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2312yes—
680#386C2314yes—
681#386C2314yes—
682#386C2312yes—
683#386C2312yes—
684#386C2312yes—
685#386C2312yes—
686#386C2312yes—
687#386C2314yes—
688#386C2314yes—
689#386C2312yes—
690#386C2312yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2312yes—
703#385C2312yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2312yes—
710#385C2314yes—
711#385C2312yes—
712#385C2312yes—
713#385C2312yes—
714#385C2312yes—
715#385C2312yes—
716#384C2312yes—
717#384C2314yes—
718#384C2312yes—
719#384C2312yes—
720#384C2312yes—
721#384C2312yes—
722#384C2312yes—
723#384C2312yes—
724#383C2314yes—
725#382C2314yes—
726#382C2314yes—
727#382C2312yes—
728#382C2312yes—
729#382C2312yes—
730#382C2314yes—
731#381C2314yes—
732#381C2314yes—
733#381C2314yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2314yes—
746#380C2314yes—
747#380C2314yes—
748#380C2314yes—
749#380C2314yes—
750#380C2314yes—
751#380C2314yes—
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2314yes—
760#380C2312yes—
761#380C2312yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2312yes—
811#376C2312yes—
812#376C2314yes—
813C2×#95C2314yes—
814C2×#95C2312yes—
815C2×#95C2312yes—
816C2×#95C2311yescharacteristic
817C2×#95C2312yes—
818C2×#95C2311yescharacteristic
819C2×#95C2312yes—
820C2×#95C2312yes—
821C43C2312yes—
822C25C2411yescharacteristic
823C2×#41—24no—
824C2×#41—24no—
825C2×#41—24no—
826C2×#41—24no—
827C2×#41—24no—
828C2×#41—24no—
829C2×#41—24no—
830C2×#41—24no—
831C2×#41#4118yes—
832C22×Q8C2411yescharacteristic
833C22×Q8C2411yescharacteristic
834C22×Q8C2411yescharacteristic
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2411yescharacteristic
838C22×D4C2411yescharacteristic
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2412yes—
844C22×D4C2411yescharacteristic
845C22×D4C2412yes—
846C22×D4C2412yes—
847C22×D4C2412yes—
848C22×D4C2414yes—
849C22×D4C2412yes—
850C22×D4C2414yes—
851C23×C4—24no—
852C23×C4—24no—
853C23×C4—24no—
854C23×C4C2411yescharacteristic
855C23×C4C2412yes—
856C23×C4C2411yescharacteristic
857C23×C4C2411yescharacteristic
858C23×C4C2411yescharacteristic
859C23×C4C2412yes—
860C23×C4C2411yescharacteristic
861C23×C4C2411yescharacteristic
862C23×C4C2411yescharacteristic
863C23×C4C2411yescharacteristic
864C23×C4C2412yes—
865C23×C4C2412yes—
866C23×C4C2412yes—
867C23×C4C2412yes—
868C23×C4C2411yescharacteristic
869C23×C4C2412yes—
870C23×C4C2412yes—
871C23×C4C2414yes—
872C23×C4C2414yes—
873C23×C4C2412yes—
874C23×C4C2412yes—
875C23×C4C2412yes—
876C23×C4C2414yes—
877C23×C4C2412yes—
878C23×C4C2412yes—
879C23×C4C2411yescharacteristic
880C4⋊Q8—24no—
881#127—24no—
882#126—84no—
883#126—84no—
884#125—48no—
885#124—24no—
886#124—24no—
887#123—28no—
888#123—28no—
889#123—44no—
890#123—84no—
891#123—84no—
892C22⋊Q8—24no—
893C22⋊Q8—24no—
894C22⋊Q8—28no—
895C22⋊Q8—28no—
896C22⋊Q8—24no—
897C22⋊Q8—24no—
898C22⋊Q8—42no—
899C22⋊Q8—42no—
900C22⋊Q8—44no—
901C22⋊Q8—44no—
902#121—24no—
903#121—24no—
904#121—28no—
905#121—28no—
906#121—28no—
907#121—216no—
908#121—28no—
909#121—24no—
910#121—24no—
911#121—28no—
912#121—44no—
913#121—48no—
914#121—42no—
915#121—42no—
916#121—44no—
917#121—44no—
918#121—48no—
919#121—84no—
920#121—84no—
921#120—28no—
922#120—28no—
923#120—44no—
924C4×Q8—28no—
925C4×Q8—28no—
926C4×Q8—42no—
927C4×Q8—42no—
928C4×Q8—42no—
929C4×Q8—42no—
930C4×Q8—44no—
931C4×D4—28no—
932C4×D4—28no—
933C4×D4—28no—
934C4×D4—28no—
935C4×D4—216no—
936C4×D4—216no—
937C4×D4—28no—
938C4×D4—28no—
939C4×D4—28no—
940C4×D4—28no—
941C4×D4—28no—
942C4×D4—44no—
943C4×D4—42no—
944C4×D4—42no—
945C4×D4—42no—
946C4×D4—42no—
947C4×D4—44no—
948C4×D4—44no—
949C4×D4—44no—
950C4×D4—44no—
951C4×D4—44no—
952C4×D4—44no—
953C4×D4—44no—
954C4×D4—48no—
955C4×D4—84no—
956C4×D4—84no—
957C4×D4—84no—
958C4×D4—84no—
959#117—24no—
960#117—24no—
961#117—24no—
962#117—24no—
963#117—28no—
964#117—28no—
965#117—44no—
966#117—44no—
967#117—44no—
968#117—44no—
969#117—42no—
970#117—42no—
971#117—44no—
972#117—84no—
973#117#4118yes—
974C2×C4⋊C4—24no—
975C2×C4⋊C4—24no—
976C2×C4⋊C4—24no—
977C2×C4⋊C4—24no—
978C2×C4⋊C4—28no—
979C2×C4⋊C4—28no—
980C2×C4⋊C4—44no—
981C2×C4⋊C4—42no—
982C2×C4⋊C4—42no—
983C2×C4⋊C4—44no—
984C2×C4⋊C4—84no—
985C2×C4⋊C4—82no—
986C2×C4⋊C4—82no—
987C2×C4⋊C4—82no—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2411yescharacteristic
1050C2×C4⋊C4C2411yescharacteristic
1051C2×C22⋊C4—24no—
1052C2×C22⋊C4—42no—
1053C2×C22⋊C4—44no—
1054C2×C22⋊C4—82no—
1055C2×C22⋊C4—82no—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2411yescharacteristic
1059C2×C22⋊C4C2411yescharacteristic
1060C2×C22⋊C4C2411yescharacteristic
1061C2×C22⋊C4C2411yescharacteristic
1062C2×C22⋊C4C2411yescharacteristic
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2411yescharacteristic
1091C2×C22⋊C4C2411yescharacteristic
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2411yescharacteristic
1120C2×C42—24no—
1121C2×C42—24no—
1122C2×C42—44no—
1123C2×C42—44no—
1124C2×C42—44no—
1125C2×C42—82no—
1126C2×C42C2412yes—
1127C2×C42C2412yes—
1128C2×C42C2411yescharacteristic
1129C2×C42C2411yescharacteristic
1130C2×C42C2412yes—
1131C2×C42C2412yes—
1132C2×C42C2414yes—
1133C2×C42C2414yes—
1134C2×C42C2411yescharacteristic
1135C2×C42C2411yescharacteristic
1136C2×C42C2411yescharacteristic
1137C2×C42C2411yescharacteristic
1138C2×C42C2412yes—
1139C2×C42C2412yes—
1140C2×C42C2411yescharacteristic
1141C2×C42C2411yescharacteristic
1142C2×C42C2412yes—
1143C2×C42C2412yes—
1144C2×C42C2414yes—
1145C2×C42C2414yes—
1146C2×C42C2414yes—
1147C2×C42C2412yes—
1148C2×C42C2412yes—
1149C2×C42C2412yes—
1150C2×C42C2412yes—
1151C2×C42C2412yes—
1152C2×C42C2412yes—
1153C2×C42C2414yes—
1154C2×C42C2414yes—
1155C2×C42C2412yes—
1156#95C2412yes—
1157#95C2414yes—
1158#95C2411yescharacteristic
1159#95C2411yescharacteristic
1160#95C2411yescharacteristic
1161#95C2411yescharacteristic
1162#95C2411yescharacteristic
1163#95C2411yescharacteristic
1164#95C2411yescharacteristic
1165#95C2411yescharacteristic
1166#95C2414yes—
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#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2412yes—
1186#95C2414yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2412yes—
1193#95C2414yes—
1194#95C2412yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2412yes—
1200#95C2414yes—
1201#95C2412yes—
1202#95C2414yes—
1203#95C2412yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2414yes—
1215#95C2414yes—
1216C24—22no—
1217C24—22no—
1218C24—22no—
1219C24—22no—
1220C24—41no—
1221C24—41no—
1222C24—41no—
1223C24C2511yescharacteristic
1224C24C2512yes—
1225C24C2512yes—
1226C24C2512yes—
1227C24C2511yescharacteristic
1228C24C2511yescharacteristic
1229#41—232no—
1230#41—416no—
1231#41—416no—
1232C2×Q8—22no—
1233C2×Q8—22no—
1234C2×Q8—22no—
1235C2×Q8—22no—
1236C2×Q8—22no—
1237C2×Q8—22no—
1238C2×Q8—22no—
1239C2×Q8—22no—
1240C2×Q8C2×#4114yes—
1241C2×D4—24no—
1242C2×D4—24no—
1243C2×D4—24no—
1244C2×D4—24no—
1245C2×D4—24no—
1246C2×D4—24no—
1247C2×D4—24no—
1248C2×D4—24no—
1249C2×D4—24no—
1250C2×D4—24no—
1251C2×D4—24no—
1252C2×D4—24no—
1253C2×D4—24no—
1254C2×D4—24no—
1255C2×D4—28no—
1256C2×D4—24no—
1257C2×D4—22no—
1258C2×D4—22no—
1259C2×D4—24no—
1260C2×D4—22no—
1261C2×D4—22no—
1262C2×D4—22no—
1263C2×D4—24no—
1264C2×D4—22no—
1265C2×D4—22no—
1266C2×D4—22no—
1267C2×D4—24no—
1268C2×D4—24no—
1269C2×D4—42no—
1270C2×D4—42no—
1271C2×D4—42no—
1272C2×D4—42no—
1273C2×D4—42no—
1274C2×D4—42no—
1275C2×D4—44no—
1276C2×D4—42no—
1277C2×D4—44no—
1278C2×D4—42no—
1279C2×D4—42no—
1280C2×D4—42no—
1281C2×D4—42no—
1282C2×D4—42no—
1283C2×D4—42no—
1284C2×D4—44no—
1285C2×D4—44no—
1286C2×D4—44no—
1287C2×D4C2×#4118yes—
1288C2×D4C2×#4114yes—
1289C22×C4—24no—
1290C22×C4—24no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—24no—
1298C22×C4—24no—
1299C22×C4—24no—
1300C22×C4—22no—
1301C22×C4—24no—
1302C22×C4—24no—
1303C22×C4—24no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—24no—
1309C22×C4—24no—
1310C22×C4—22no—
1311C22×C4—22no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—24no—
1315C22×C4—22no—
1316C22×C4—24no—
1317C22×C4—22no—
1318C22×C4—22no—
1319C22×C4—22no—
1320C22×C4—24no—
1321C22×C4—22no—
1322C22×C4—22no—
1323C22×C4—22no—
1324C22×C4—28no—
1325C22×C4—28no—
1326C22×C4—24no—
1327C22×C4—24no—
1328C22×C4—41no—
1329C22×C4—41no—
1330C22×C4—41no—
1331C22×C4—42no—
1332C22×C4—42no—
1333C22×C4—42no—
1334C22×C4—42no—
1335C22×C4—42no—
1336C22×C4—42no—
1337C22×C4—42no—
1338C22×C4—42no—
1339C22×C4—41no—
1340C22×C4—42no—
1341C22×C4—42no—
1342C22×C4—42no—
1343C22×C4—42no—
1344C22×C4—42no—
1345C22×C4—42no—
1346C22×C4—42no—
1347C22×C4—41no—
1348C22×C4—44no—
1349C22×C4—44no—
1350C22×C4—42no—
1351C22×C4—42no—
1352C22×C4—42no—
1353C22×C4—42no—
1354C22×C4—42no—
1355C22×C4—44no—
1356C22×C4—44no—
1357C22×C4—42no—
1358C22×C4—42no—
1359C22×C4—42no—
1360C22×C4—44no—
1361C22×C4—44no—
1362C22×C4—44no—
1363C22×C4—416no—
1364C22×C4C2×#4118yes—
1365C22×C4C2×#4114yes—
1366C22×C4C2×#4114yes—
1367C22×C4H(5,𝔽2)14yes—
1368C22×C4C2512yes—
1369C22×C4C2511yescharacteristic
1370C22×C4C2512yes—
1371C22×C4C2511yescharacteristic
1372C22×C4C2514yes—
1373C22×C4C2512yes—
1374C22×C4C2512yes—
1375C22×C4C2512yes—
1376C22×C4C2511yescharacteristic
1377C22×C4C2511yescharacteristic
1378C22×C4C2512yes—
1379C22×C4C2514yes—
1380C22×C4C2511yescharacteristic
1381C22×C4C2511yescharacteristic
1382C22×C4C2512yes—
1383C22×C4C2512yes—
1384C22×C4C2511yescharacteristic
1385C22×C4C2514yes—
1386C22×C4C2514yes—
1387C22×C4C2512yes—
1388C22×C4C2512yes—
1389C22×C4C2512yes—
1390C22×C4C2512yes—
1391C22×C4C2512yes—
1392C22×C4C2511yescharacteristic
1393C22×C4C2511yescharacteristic
1394C22×C4C2511yescharacteristic
1395C22×C4C2511yescharacteristic
1396C22×C4C2511yescharacteristic
1397C4⋊C4—24no—
1398C4⋊C4—24no—
1399C4⋊C4—28no—
1400C4⋊C4—28no—
1401C4⋊C4—24no—
1402C4⋊C4—24no—
1403C4⋊C4—24no—
1404C4⋊C4—24no—
1405C4⋊C4—22no—
1406C4⋊C4—22no—
1407C4⋊C4—24no—
1408C4⋊C4—24no—
1409C4⋊C4—24no—
1410C4⋊C4—24no—
1411C4⋊C4—24no—
1412C4⋊C4—24no—
1413C4⋊C4—28no—
1414C4⋊C4—24no—
1415C4⋊C4—24no—
1416C4⋊C4—22no—
1417C4⋊C4—22no—
1418C4⋊C4—22no—
1419C4⋊C4—22no—
1420C4⋊C4—22no—
1421C4⋊C4—22no—
1422C4⋊C4—24no—
1423C4⋊C4—24no—
1424C4⋊C4—28no—
1425C4⋊C4—24no—
1426C4⋊C4—44no—
1427C4⋊C4—42no—
1428C4⋊C4—42no—
1429C4⋊C4—44no—
1430C4⋊C4—42no—
1431C4⋊C4—44no—
1432C4⋊C4—44no—
1433C4⋊C4—44no—
1434C4⋊C4—44no—
1435C4⋊C4—44no—
1436C4⋊C4—44no—
1437C4⋊C4—44no—
1438C4⋊C4—44no—
1439C4⋊C4—42no—
1440C4⋊C4—42no—
1441C4⋊C4—42no—
1442C4⋊C4—42no—
1443C4⋊C4—42no—
1444C4⋊C4—44no—
1445C4⋊C4—42no—
1446C4⋊C4—42no—
1447C4⋊C4—42no—
1448C4⋊C4—44no—
1449C4⋊C4—44no—
1450C4⋊C4—44no—
1451C4⋊C4—44no—
1452C4⋊C4—44no—
1453C4⋊C4—44no—
1454C4⋊C4—44no—
1455C4⋊C4—44no—
1456C4⋊C4—42no—
1457C4⋊C4—42no—
1458C4⋊C4C2×#4114yes—
1459C4⋊C4C2×#4114yes—
1460C22⋊C4—24no—
1461C22⋊C4—24no—
1462C22⋊C4—24no—
1463C22⋊C4—24no—
1464C22⋊C4—24no—
1465C22⋊C4—28no—
1466C22⋊C4—24no—
1467C22⋊C4—24no—
1468C22⋊C4—24no—
1469C22⋊C4—22no—
1470C22⋊C4—28no—
1471C22⋊C4—28no—
1472C22⋊C4—24no—
1473C22⋊C4—24no—
1474C22⋊C4—24no—
1475C22⋊C4—24no—
1476C22⋊C4—24no—
1477C22⋊C4—24no—
1478C22⋊C4—24no—
1479C22⋊C4—24no—
1480C22⋊C4—28no—
1481C22⋊C4—22no—
1482C22⋊C4—22no—
1483C22⋊C4—24no—
1484C22⋊C4—24no—
1485C22⋊C4—22no—
1486C22⋊C4—22no—
1487C22⋊C4—24no—
1488C22⋊C4—41no—
1489C22⋊C4—41no—
1490C22⋊C4—42no—
1491C22⋊C4—42no—
1492C22⋊C4—44no—
1493C22⋊C4—44no—
1494C22⋊C4—44no—
1495C22⋊C4—44no—
1496C22⋊C4—42no—
1497C22⋊C4—42no—
1498C22⋊C4—42no—
1499C22⋊C4—42no—
1500C22⋊C4—44no—
1501C22⋊C4—42no—
1502C22⋊C4—44no—
1503C22⋊C4—42no—
1504C22⋊C4—42no—
1505C22⋊C4—42no—
1506C22⋊C4—42no—
1507C22⋊C4—44no—
1508C22⋊C4—44no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4—44no—
1512C22⋊C4—42no—
1513C22⋊C4—44no—
1514C22⋊C4—44no—
1515C22⋊C4—44no—
1516C22⋊C4—44no—
1517C22⋊C4—44no—
1518C22⋊C4—42no—
1519C22⋊C4—44no—
1520C22⋊C4—42no—
1521C22⋊C4—42no—
1522C22⋊C4C2×#4118yes—
1523C22⋊C42−1+414yes—
1524C42—22no—
1525C42—22no—
1526C42—22no—
1527C42—22no—
1528C42—24no—
1529C42—28no—
1530C42—28no—
1531C42—22no—
1532C42—22no—
1533C42—22no—
1534C42—22no—
1535C42—24no—
1536C42—24no—
1537C42—24no—
1538C42—24no—
1539C42—24no—
1540C42—42no—
1541C42—42no—
1542C42—42no—
1543C42—42no—
1544C42—42no—
1545C42—42no—
1546C42—44no—
1547C42—44no—
1548C42—44no—
1549C42—44no—
1550C42—42no—
1551C42—42no—
1552C42—44no—
1553C42C2×#4118yes—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—22no—
1559C23—21no—
1560C23—21no—
1561C23—22no—
1562C23—21no—
1563C23—22no—
1564C23—21no—
1565C23—22no—
1566C23—21no—
1567C23—21no—
1568C23—22no—
1569C23—22no—
1570C23—22no—
1571C23—21no—
1572C23—21no—
1573C23—22no—
1574C23—22no—
1575C23—22no—
1576C23—21no—
1577C23—22no—
1578C23—22no—
1579C23—21no—
1580C23—22no—
1581C23—22no—
1582C23—21no—
1583C23—22no—
1584C23—22no—
1585C23—22no—
1586C23—22no—
1587C23—22no—
1588C23—21no—
1589C23—21no—
1590C23—22no—
1591C23—44no—
1592C23—44no—
1593C23—44no—
1594C23—44no—
1595C23—82no—
1596C23—82no—
1597C23—82no—
1598C23C22×#4114yes—
1599C23C22×#4112yes—
1600C23C22×#4112yes—
1601C23C2×H(5,𝔽2)12yes—
1602C23C2×2−1+412yes—
1603C23C2611yescharacteristic
1604Q8—28no—
1605Q8—44no—
1606Q8—44no—
1607D4—216no—
1608D4—28no—
1609D4—48no—
1610D4—48no—
1611D4—48no—
1612D4—48no—
1613D4—48no—
1614D4—48no—
1615D4—44no—
1616D4—44no—
1617D4—84no—
1618D4—88no—
1619D4—84no—
1620D4—84no—
1621D4—84no—
1622D4—164no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—22no—
1626C2×C4—21no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—216no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—24no—
1642C2×C4—24no—
1643C2×C4—24no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—21no—
1661C2×C4—22no—
1662C2×C4—24no—
1663C2×C4—22no—
1664C2×C4—21no—
1665C2×C4—22no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—21no—
1673C2×C4—22no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—22no—
1677C2×C4—24no—
1678C2×C4—22no—
1679C2×C4—24no—
1680C2×C4—21no—
1681C2×C4—24no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—24no—
1686C2×C4—22no—
1687C2×C4—24no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—24no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—24no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—21no—
1697C2×C4—24no—
1698C2×C4—21no—
1699C2×C4—44no—
1700C2×C4—44no—
1701C2×C4—44no—
1702C2×C4—44no—
1703C2×C4—44no—
1704C2×C4—44no—
1705C2×C4—44no—
1706C2×C4—44no—
1707C2×C4—48no—
1708C2×C4—48no—
1709C2×C4—88no—
1710C2×C4—88no—
1711C2×C4—84no—
1712C2×C4—84no—
1713C2×C4—84no—
1714C2×C4—84no—
1715C2×C4—84no—
1716C2×C4—82no—
1717C2×C4—84no—
1718C2×C4—84no—
1719C2×C4—84no—
1720C2×C4—84no—
1721C2×C4—84no—
1722C2×C4—164no—
1723C2×C4#553116yes—
1724C2×C4C22×#4114yes—
1725C2×C4C22×#4114yes—
1726C2×C4C22×#4114yes—
1727C2×C4C22×#4112yes—
1728C2×C4C22×#4112yes—
1729C2×C4C22×#4112yes—
1730C2×C4C22×#4112yes—
1731C2×C4C2×H(5,𝔽2)12yes—
1732C2×C4C2×H(5,𝔽2)12yes—
1733C2×C4C2×2−1+412yes—
1734C2×C4C2×2−1+412yes—
1735C2×C4#58512yes—
1736C22—22no—
1737C22—22no—
1738C22—22no—
1739C22—22no—
1740C22—22no—
1741C22—22no—
1742C22—22no—
1743C22—24no—
1744C22—24no—
1745C22—22no—
1746C22—22no—
1747C22—24no—
1748C22—41no—
1749C22—42no—
1750C22—42no—
1751C22—41no—
1752C22—41no—
1753C22—42no—
1754C22—42no—
1755C22—41no—
1756C22—42no—
1757C22—42no—
1758C22—41no—
1759C22—42no—
1760C22—42no—
1761C22—41no—
1762C22—42no—
1763C22—42no—
1764C22—41no—
1765C22—42no—
1766C22—41no—
1767C22—42no—
1768C22—42no—
1769C22—41no—
1770C22—42no—
1771C22—42no—
1772C22—42no—
1773C22—41no—
1774C22—41no—
1775C22—42no—
1776C22—42no—
1777C22—88no—
1778C22C2×#55314yes—
1779C22C23×#4111yescharacteristic
1780C22C23×#4111yescharacteristic
1781C22C22×H(5,𝔽2)11yescharacteristic
1782C22C22×2−1+411yescharacteristic
1783C22C2×#58511yescharacteristic
1784C22H(7,𝔽2)11yescharacteristic
1785C22H(7,𝔽2)11yescharacteristic
1786C4—22no—
1787C4—22no—
1788C4—24no—
1789C4—24no—
1790C4—22no—
1791C4—24no—
1792C4—41no—
1793C4—42no—
1794C4—41no—
1795C4—44no—
1796C4—42no—
1797C4—44no—
1798C4—44no—
1799C4—42no—
1800C4—41no—
1801C4—41no—
1802C4—42no—
1803C4—44no—
1804C4—42no—
1805C4—41no—
1806C4—42no—
1807C4—42no—
1808C4—42no—
1809C4—41no—
1810C4—41no—
1811C4—42no—
1812C4—42no—
1813C4C2×#55314yes—
1814C4C2×#55314yes—
1815C2—24no—
1816C2—44no—
1817C2—42no—
1818C2—82no—
1819C2—82no—
1820C2—81no—
1821C2C22×#55311yescharacteristic
1822C2#6280511yescharacteristic
1823C2#6285811yescharacteristic
1824C2#6293011yescharacteristic
1825C2#6294411yescharacteristic
1826C2#6300011yescharacteristic
1827C2#6300811yescharacteristic
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. #59857C2semidirect
2. #59856C2semidirect
3. #59689C2semidirect
4. #59686C2semidirect
5. #59677C2semidirect
6. #59548C2semidirect
7. #45397C2semidirect
8. #45371C2semidirect
9. #44976C2semidirect
10. #44975C2semidirect
11. #43269C2semidirect
12. #43226C2semidirect
13. #39261C2semidirect
14. #39260C2semidirect
15. #39259C2semidirect
16. #39258C2semidirect
17. #39191C2semidirect
18. #39186C2semidirect
19. #36498C2semidirect
20. #36477C2semidirect
21. #35564C2semidirect
22. #35557C2semidirect
23. #35518C2semidirect
24. #35518C2semidirect
25. #35265C2semidirect
26. #35263C2semidirect
27. #35255C2semidirect
28. C2×#2497C2semidirect
29. #34743C2semidirect
30. #34252C2semidirect
31. #34250C2semidirect
32. #34207C2semidirect
33. #34202C2semidirect
34. #34136C2semidirect
35. C4×#537C2semidirect
48. #2864C22semidirect
49. #2859C22semidirect
51. #2855C22semidirect
53. #2854C22semidirect
54. #2802C22semidirect
55. #2802C22semidirect
59. #2786C22semidirect
60. #2782C22semidirect
63. #2779C22semidirect
64. #2772C22semidirect
65. #2770C22semidirect
68. #2753C22semidirect
71. #2747C22semidirect
72. #2739C22semidirect
73. #2718C22semidirect
75. #2711C22semidirect
78. #2647C22semidirect
79. #2647C22semidirect
81. #2625C22semidirect
83. #2624C22semidirect
85. #2608C22semidirect
87. #2601C22semidirect
88. #2597C22semidirect
89. #2597C22semidirect
90. #2596C22semidirect
92. #2595C22semidirect
95. #2587C22semidirect
97. #2570C22semidirect
98. #2569C22semidirect
111. #2530C22semidirect
113. #2529C22semidirect
115. #2525C22semidirect
116. #2522C22semidirect
117. #2512C22semidirect
118. #2512C22semidirect
119. #2511C22semidirect
120. #2511C22semidirect
121. #2509C22semidirect
122. #2508C22semidirect
123. #2507C22semidirect
124. #2506C22semidirect
135. #2497C22semidirect
136. #2497C22semidirect
137. #2496C22semidirect
138. #2496C22semidirect
140. #2487C22semidirect
144. #2485C22semidirect
147. #2481C22semidirect
150. #2468C22semidirect
152. #2457C22semidirect
160. #2429C22semidirect
163. #2428C22semidirect
166. #2427C22semidirect
169. #2426C22semidirect
178. #2423C22semidirect
179. #2422C22semidirect
180. #2421C22semidirect
181. #2420C22semidirect
184. #2417C22semidirect
189. #2416C22semidirect
192. #2415C22semidirect
196. #2414C22semidirect
202. #2370C22semidirect
204. #2364C22semidirect
222. #2357C22semidirect
223. #2356C22semidirect
224. #2355C22semidirect
226. #2354C22semidirect
227. #2354C22semidirect
228. #2354C22semidirect
231. #2351C22semidirect
232. Q8×C4⋊C4C22semidirect
234. #2349C22semidirect
237. D4×C4⋊C4C22semidirect
238. D4×C4⋊C4C22semidirect
239. D4×C4⋊C4C22semidirect
240. #2347C22semidirect
241. #2346C22semidirect
242. #2345C22semidirect
243. #2344C22semidirect
244. #2326C22semidirect
245. #2326C22semidirect
248. #2324C22semidirect
249. #2324C22semidirect
251. #2323C22semidirect
252. #2323C22semidirect
257. #2317C22semidirect
260. #2316C22semidirect
266. C4×C4⋊Q8C22semidirect
267. C4×#127C22semidirect
269. C4×C22⋊Q8C22semidirect
270. C4×C22⋊Q8C22semidirect
275. C4×#121C22semidirect
276. C4×#121C22semidirect
281. #2296C22semidirect
285. C2×#389C22semidirect

Maximal subgroups

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

subgroupindex
#598572
#598562
#596892
#596862
#596772
#595482
#453972
#453712
#449762
#449752
#432692
#432262
#392612
#392602
#392592
#392582
#391912
#391862
#364982
#364772
#355642
#355572
#355182
#352652
#352632
#352552
C2×#24972
#347432
#342522
#342502
#342072
#342022
#341362
C4×#5372