Finite Group Databasebeta

← #7880568

Subgroups — #7880568

Order 512.

5374 conjugacy classes of subgroups.

The subgroup lattice has 1808 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59641C211yesmaximal, characteristic, complemented
2#59414C212yesmaximal, complemented
3#59312C211yesmaximal, characteristic, complemented
4#59212C211yesmaximal, characteristic, complemented
5#59208C212yesmaximal, complemented
6#51456C214yesmaximal, complemented
7#49641C214yesmaximal, complemented
8#46768C214yesmaximal, complemented
9#45380C212yesmaximal, complemented
10#45023C212yesmaximal, complemented
11#44974C212yesmaximal, complemented
12#44899C212yesmaximal, complemented
13#43472C214yesmaximal, complemented
14#42975C212yesmaximal, complemented
15#42593C212yesmaximal, complemented
16#39937C212yesmaximal, complemented
17#39781C212yesmaximal, complemented
18#39498C211yesmaximal, characteristic, complemented
19#39342C211yesmaximal, characteristic, complemented
20#39194C211yesmaximal, characteristic, complemented
21#39066C212yesmaximal, complemented
22#38942C211yesmaximal, characteristic, complemented
23#37975C212yesmaximal, complemented
24#36460C211yesmaximal, characteristic, complemented
25#36258C211yesmaximal, characteristic, complemented
26#36182C211yesmaximal, characteristic, complemented
27#35853C212yesmaximal, complemented
28#35752C212yesmaximal, complemented
29#35593C212yesmaximal, complemented
30#35531C212yesmaximal, complemented
31#34800C211yesmaximal, characteristic, complemented
32#34715C211yesmaximal, characteristic, complemented
33#34493C211yesmaximal, characteristic, complemented
34#34207C211yesmaximal, characteristic, complemented
35#34193C211yesmaximal, characteristic, complemented
36C2×#559C2212yescomplemented
37C2×#553C2212yescomplemented
38C2×#552C2212yescomplemented
39C2×#546C2212yes—
40C2×D42C2211yescharacteristic
41C2×#535C2212yes—
42C2×#532C2211yescharacteristic
43C2×#520C2212yescomplemented
44C2×C4×#41C2211yescharacteristic
45#2860C2212yescomplemented
46#2859C2211yescharacteristic, complemented
47#2856C2211yescharacteristic
48#2856C2211yescharacteristic
49#2854C2212yes—
50#2828C2214yescomplemented
51#2807C2214yescomplemented
52#2801C2214yescomplemented
53#2801C2214yescomplemented
54#2800C2214yescomplemented
55#2788C2214yescomplemented
56#2778C2214yescomplemented
57#2760C2214yescomplemented
58#2759C2214yescomplemented
59#2757C2214yescomplemented
60#2756C2214yescomplemented
61#2752C2214yescomplemented
62#2749C2214yescomplemented
63#2749C2214yescomplemented
64#2746C2214yescomplemented
65#2746C2214yescomplemented
66#2736C2214yescomplemented
67#2721C2214yescomplemented
68#2711C2214yescomplemented
69#2710C2214yescomplemented
70#2710C2214yescomplemented
71#2707C2214yescomplemented
72#2706C2214yescomplemented
73#2705C2214yescomplemented
74#2701C2214yescomplemented
75#2699C2214yescomplemented
76#2685C2214yescomplemented
77#2685C2214yescomplemented
78#2685C2214yescomplemented
79#2678C2214yescomplemented
80#2673C2214yescomplemented
81#2670C2214yes—
82#2670C2214yescomplemented
83#2669C2214yes—
84#2662C2214yescomplemented
85#2662C2214yescomplemented
86#2651C2214yescomplemented
87#2641C2212yescomplemented
88#2635C2214yescomplemented
89#2628C2212yescomplemented
90#2624C2212yescomplemented
91#2615C2212yes—
92#2610C2214yescomplemented
93#2603C2214yescomplemented
94#2602C2214yescomplemented
95#2600C2214yescomplemented
96#2595C2214yescomplemented
97#2594C2214yescomplemented
98#2593C2214yescomplemented
99#2584C2212yescomplemented
100#2580C2212yes—
101#2580C2212yescomplemented
102#2571C2211yescharacteristic, complemented
103#2566C2212yescomplemented
104#2559C2214yescomplemented
105#2558C2214yescomplemented
106#2558C2214yescomplemented
107#2557C2214yescomplemented
108#2552C2212yescomplemented
109#2552C2211yescharacteristic, complemented
110#2548C2211yescharacteristic
111#2541C2212yes—
112#2541C2211yescharacteristic
113#2539C2214yescomplemented
114#2538C2211yescharacteristic
115#2537C2211yescharacteristic
116#2537C2212yescomplemented
117#2535C2212yescomplemented
118#2534C2214yescomplemented
119#2532C2212yescomplemented
120#2527C2214yescomplemented
121#2526C2214yescomplemented
122#2526C2214yescomplemented
123#2526C2212yescomplemented
124#2522C2214yescomplemented
125#2521C2214yescomplemented
126#2518C2212yescomplemented
127#2513C2211yescharacteristic
128#2512C2212yes—
129#2512C2212yescomplemented
130#2512C2212yescomplemented
131#2512C2212yescomplemented
132#2509C2212yescomplemented
133#2508C2211yescharacteristic, complemented
134#2504C2212yes—
135#2504C2212yescomplemented
136#2501C2212yes—
137#2501C2212yescomplemented
138#2500C2212yes—
139#2500C2211yescharacteristic
140#2500C2212yescomplemented
141#2500C2212yescomplemented
142#2500C2212yescomplemented
143#2497C2211yescharacteristic, complemented
144#2494C2212yescomplemented
145#2494C2212yescomplemented
146#2494C2212yescomplemented
147#2494C2212yescomplemented
148#2491C2212yes—
149#2491C2211yescharacteristic
150#2491C2212yescomplemented
151#2490C2212yes—
152#2490C2212yescomplemented
153#2486C2212yescomplemented
154#2485C2212yescomplemented
155#2485C2211yescharacteristic, complemented
156#2483C2214yescomplemented
157#2480C2214yescomplemented
158#2476C2212yescomplemented
159#2474C2212yescomplemented
160#2471C2214yescomplemented
161#2469C2214yescomplemented
162#2467C2214yescomplemented
163#2464C2214yescomplemented
164#2459C2212yescomplemented
165#2459C2212yescomplemented
166#2458C2214yescomplemented
167#2456C2214yescomplemented
168#2456C2212yescomplemented
169#2455C2214yescomplemented
170#2454C2212yes—
171#2451C2211yescharacteristic, complemented
172#2448C2214yescomplemented
173#2448C2214yescomplemented
174#2448C2212yescomplemented
175#2445C2211yescharacteristic
176#2445C2214yescomplemented
177#2445C2214yescomplemented
178#2445C2212yescomplemented
179#2445C2214yescomplemented
180#2442C2212yescomplemented
181#2441C2212yescomplemented
182#2441C2212yescomplemented
183#2441C2212yescomplemented
184#2439C2211yescharacteristic, complemented
185#2439C2211yescharacteristic, complemented
186#2433C2212yes—
187#2431C2211yescharacteristic
188#2428C2212yescomplemented
189#2426C2212yes—
190#2426C2211yescharacteristic, complemented
191#2426C2212yescomplemented
192#2426C2212yescomplemented
193#2424C2214yes—
194#2423C2212yescomplemented
195#2422C2212yescomplemented
196#2422C2212yescomplemented
197#2422C2212yescomplemented
198#2420C2211yescharacteristic
199#2420C2212yescomplemented
200#2420C2212yescomplemented
201#2418C2214yescomplemented
202#2418C2214yescomplemented
203#2418C2214yescomplemented
204#2418C2214yescomplemented
205#2418C2214yescomplemented
206#2416C2212yes—
207#2416C2212yescomplemented
208#2416C2212yescomplemented
209#2414C2212yes—
210#2414C2212yes—
211#2414C2212yes—
212#2414C2211yescharacteristic
213#2414C2212yescomplemented
214#2414C2211yescharacteristic, complemented
215#2414C2214yescomplemented
216#2413C2214yescomplemented
217#2411C2214yes—
218#2408C2212yes—
219#2408C2212yes—
220#2408C2212yes—
221#2407C2211yescharacteristic
222#2398C2212yescomplemented
223#2392C2214yescomplemented
224#2392C2212yescomplemented
225#2392C2212yescomplemented
226#2388C2212yescomplemented
227#2375C2214yes—
228#2366C2211yescharacteristic
229#2363C2212yes—
230#2363C2212yes—
231#2363C2212yescomplemented
232#2363C2212yescomplemented
233#2361C2212yes—
234#2361C2212yescomplemented
235#2361C2212yescomplemented
236#2361C2212yescomplemented
237#2361C2212yescomplemented
238#2361C2214yescomplemented
239#2358C2214yescomplemented
240#2357C2212yescomplemented
241#2354C2211yescharacteristic
242#2354C2211yescharacteristic
243#2354C2211yescharacteristic
244#2354C2212yescomplemented
245#2354C2211yescharacteristic, complemented
246#2354C2212yescomplemented
247#2354C2212yescomplemented
248#2352C2212yescomplemented
249Q8×C4⋊C4C2211yescharacteristic, complemented
250Q8×C4⋊C4C2211yescharacteristic, complemented
251D4×C4⋊C4C2211yescharacteristic
252D4×C4⋊C4C2212yescomplemented
253D4×C4⋊C4C2211yescharacteristic, complemented
254#2347C2214yescomplemented
255#2347C2212yescomplemented
256#2344C2212yescomplemented
257#2341C2212yes—
258D4×C22⋊C4C2212yes—
259D4×C22⋊C4C2212yes—
260D4×C22⋊C4C2212yes—
261#2334C2214yescomplemented
262#2326C2214yescomplemented
263#2324C2212yes—
264#2324C2212yes—
265#2323C2212yescomplemented
266#2321C2214yes—
267#2319C2212yes—
268#2319C2212yescomplemented
269#2319C2214yescomplemented
270#2317C2212yescomplemented
271#2311C2212yescomplemented
272#2309C2212yes—
273#2309C2212yes—
274C4×C4⋊Q8C2212yescomplemented
275C4×C4⋊Q8C2211yescharacteristic, complemented
276C4×#127C2212yes—
277C4×#127C2211yescharacteristic
278C4×#124C2212yescomplemented
279C4×#124C2212yescomplemented
280C4×#124C2211yescharacteristic, complemented
281C4×C22⋊Q8C2211yescharacteristic, complemented
282C4×#123C2212yescomplemented
283C4×#121C2211yescharacteristic
284C4×#121C2211yescharacteristic
285C4×#121C2211yescharacteristic, complemented
286#2298C2212yescomplemented
287#2297C2212yescomplemented
288#2293C2211yescharacteristic
289#2293C2211yescharacteristic
290C2×#390C2212yes—
291#2285C2212yescomplemented
292#2285C2211yescharacteristic, complemented
293C2×#384C2211yescharacteristic, complemented
294#2283C2211yescharacteristic, complemented
295#2283C2212yescomplemented
296#2276C2212yescomplemented
297C42×D4C2211yescharacteristic, complemented
298C4×#117C2211yescharacteristic, complemented
299C22×#41C2312yes—
300C22×#41C2311yescharacteristic
301C23×D4C2312yes—
302C23×D4C2312yes—
303#559—48no—
304#553—48no—
305#552—48no—
306#546—48no—
307D42—28no—
308#535—48no—
309#532—28no—
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×#127C2311yescharacteristic
313C2×#127C2311yescharacteristic
314C2×#127C2312yes—
315C2×#127C2314yes—
316C2×#126C2314yes—
317C2×#126C2314yes—
318C2×#126C2314yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2314yes—
322C2×#124C2312yes—
323C2×#124C2312yes—
324C2×#124C2311yescharacteristic
325C2×#124C2314yes—
326C2×#124C2312yes—
327C2×#124C2314yes—
328C2×#123C2314yes—
329C2×#123C2314yes—
330C2×#123C2314yes—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×#123C2312yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2311yescharacteristic
338C2×#121C2312yes—
339C2×#121C2312yes—
340C2×#121C2312yes—
341C2×#121C2311yescharacteristic
342C2×#121C2312yes—
343C2×#121C2311yescharacteristic
344C2×#121C2311yescharacteristic
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2314yes—
352C2×#121C2311yescharacteristic
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2314yes—
356C2×#121C2311yescharacteristic
357C2×#121C2312yes—
358C2×#121C2314yes—
359C2×#120C2314yes—
360C2×#120C2314yes—
361C2×#120C2314yes—
362C2×#120C2314yes—
363C2×#120C2314yes—
364#520—48no—
365C4×#41—28no—
366C2×C4×Q8C2312yes—
367C2×C4×Q8C2311yescharacteristic
368C2×C4×Q8C2311yescharacteristic
369C2×C4×Q8C2312yes—
370C2×C4×Q8C2314yes—
371C2×C4×Q8C2312yes—
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2312yes—
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2314yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2314yes—
387C2×C4×D4C2314yes—
388C2×C4×D4C2314yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2314yes—
391C2×C4×D4C2311yescharacteristic
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2311yescharacteristic
395C2×C4×D4C2312yes—
396C2×C4×D4C2314yes—
397C2×C4×D4C2311yescharacteristic
398C2×#117C2312yes—
399C2×#117C2311yescharacteristic
400C2×#117C2311yescharacteristic
401C2×#117C2312yes—
402C2×#117C2312yes—
403C2×#117C2312yes—
404C2×#117C2312yes—
405C2×#117C2311yescharacteristic
406C2×#117C2312yes—
407C2×#117C2314yes—
408C2×#117C2312yes—
409C2×#117C2312yes—
410C22×C4⋊C4C2312yes—
411C22×C4⋊C4C2312yes—
412C22×C4⋊C4C2312yes—
413C22×C4⋊C4C2312yes—
414C22×C4⋊C4C2312yes—
415C22×C22⋊C4C2314yes—
416C22×C22⋊C4C2314yes—
417C22×C22⋊C4C2314yes—
418C22×C42C2312yes—
419C22×C42C2311yescharacteristic
420C22×C42C2311yescharacteristic
421#401C2314yes—
422#401C2314yes—
423#400C2314yes—
424#400C2314yes—
425#400C2314yes—
426#400C2312yes—
427#400C2312yes—
428#399C2314yes—
429#399C2314yes—
430#399C2314yes—
431#399C2314yes—
432#399C2314yes—
433#399C2314yes—
434#399C2314yes—
435#398C2314yes—
436#398C2312yes—
437#398C2314yes—
438#398C2312yes—
439#398C2314yes—
440#398C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2312yes—
447#397C2314yes—
448#397C2312yes—
449#397C2312yes—
450#397C2312yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2312yes—
459#396C2312yes—
460#396C2314yes—
461#396C2314yes—
462#396C2312yes—
463#396C2312yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#395C2314yes—
469#395C2312yes—
470#394C2312yes—
471#394C2312yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2312yes—
479#394C2314yes—
480#394C2312yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2312yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2312yes—
489#394C2312yes—
490#394C2312yes—
491#394C2314yes—
492#394C2312yes—
493#394C2314yes—
494#394C2314yes—
495#394C2312yes—
496#394C2312yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#393C2314yes—
504#393C2314yes—
505#393C2312yes—
506#393C2314yes—
507#393C2312yes—
508#393C2312yes—
509#392C2314yes—
510#392C2314yes—
511#392C2314yes—
512#392C2314yes—
513#392C2314yes—
514#392C2314yes—
515#392C2314yes—
516#392C2314yes—
517#392C2312yes—
518#392C2312yes—
519#392C2312yes—
520#392C2312yes—
521#392C2312yes—
522#392C2314yes—
523#391C2314yes—
524#391C2312yes—
525#391C2311yescharacteristic
526#391C2311yescharacteristic
527#391C2312yes—
528#391C2312yes—
529#391C2312yes—
530#390C2312yes—
531#390C2312yes—
532#390C2312yes—
533#390C2314yes—
534#390C2312yes—
535#390C2314yes—
536#390C2312yes—
537#390C2311yescharacteristic
538#390C2311yescharacteristic
539#390C2314yes—
540#390C2314yes—
541#390C2312yes—
542#390C2312yes—
543#390C2312yes—
544#390C2314yes—
545#390C2314yes—
546#390C2312yes—
547#390C2312yes—
548#390C2312yes—
549#390C2312yes—
550#390C2312yes—
551#390C2314yes—
552#390C2314yes—
553#390C2311yescharacteristic
554#390C2312yes—
555#390C2311yescharacteristic
556#390C2314yes—
557#390C2312yes—
558#390C2312yes—
559#390C2312yes—
560#390C2312yes—
561#390C2314yes—
562#390C2314yes—
563#390C2312yes—
564#390C2314yes—
565#390C2312yes—
566#390C2311yescharacteristic
567#390C2311yescharacteristic
568#390C2314yes—
569#390C2314yes—
570#390C2311yescharacteristic
571#390C2312yes—
572#390C2314yes—
573#390C2312yes—
574#390C2312yes—
575#390C2311yescharacteristic
576#389C2312yes—
577#389C2312yes—
578#389C2314yes—
579#389C2311yescharacteristic
580#389C2311yescharacteristic
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2314yes—
585#389C2314yes—
586#389C2312yes—
587#389C2312yes—
588#389C2311yescharacteristic
589#389C2312yes—
590#389C2314yes—
591#389C2314yes—
592#389C2314yes—
593#389C2312yes—
594#389C2311yescharacteristic
595#389C2311yescharacteristic
596#389C2312yes—
597#389C2311yescharacteristic
598#389C2314yes—
599#389C2314yes—
600#389C2311yescharacteristic
601#389C2312yes—
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2311yescharacteristic
606#389C2311yescharacteristic
607#389C2311yescharacteristic
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2312yes—
618#388C2312yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2312yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2312yes—
637#388C2312yes—
638#388C2314yes—
639#388C2312yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2312yes—
647#388C2314yes—
648#388C2314yes—
649#388C2312yes—
650#388C2312yes—
651#388C2312yes—
652#388C2314yes—
653#388C2312yes—
654#388C2312yes—
655#388C2312yes—
656#388C2312yes—
657#388C2314yes—
658#388C2312yes—
659#388C2312yes—
660#388C2312yes—
661#388C2312yes—
662#388C2312yes—
663#387C2314yes—
664#387C2312yes—
665#387C2314yes—
666#387C2314yes—
667#387C2312yes—
668#387C2312yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2312yes—
674#387C2312yes—
675#387C2312yes—
676#387C2312yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2312yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2312yes—
696#386C2312yes—
697#386C2312yes—
698#386C2312yes—
699#386C2312yes—
700#386C2312yes—
701#386C2312yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2312yes—
715#385C2312yes—
716#384C2312yes—
717#384C2311yescharacteristic
718#384C2311yescharacteristic
719#384C2312yes—
720#384C2311yescharacteristic
721#384C2312yes—
722#384C2312yes—
723#384C2311yescharacteristic
724#384C2312yes—
725#384C2312yes—
726#383C2314yes—
727#383C2312yes—
728#382C2312yes—
729#382C2312yes—
730#382C2312yes—
731#382C2312yes—
732#382C2311yescharacteristic
733#382C2312yes—
734#382C2311yescharacteristic
735#382C2311yescharacteristic
736#381C2314yes—
737#381C2312yes—
738#381C2314yes—
739#381C2314yes—
740#381C2314yes—
741#381C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2314yes—
747#380C2312yes—
748#380C2314yes—
749#380C2312yes—
750#380C2312yes—
751#380C2312yes—
752#380C2312yes—
753#380C2314yes—
754#380C2311yescharacteristic
755#380C2311yescharacteristic
756#380C2312yes—
757#380C2312yes—
758#380C2311yescharacteristic
759#380C2311yescharacteristic
760#380C2311yescharacteristic
761#380C2311yescharacteristic
762#380C2314yes—
763#379C2314yes—
764#379C2314yes—
765#379C2314yes—
766#379C2314yes—
767#379C2314yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2314yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2314yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2311yescharacteristic
814#376C2312yes—
815#376C2314yes—
816#376C2312yes—
817C43C2311yescharacteristic
818C43C2312yes—
819C25C2414yes—
820C2×#41—24no—
821C2×#41—24no—
822C2×#41—28no—
823C2×#41—28no—
824C2×#41—44no—
825C2×#41—42no—
826C22×Q8C2412yes—
827C22×Q8C2411yescharacteristic
828C22×Q8C2412yes—
829C22×D4—28no—
830C22×D4—28no—
831C22×D4—44no—
832C22×D4—44no—
833C22×D4—44no—
834C22×D4—44no—
835C22×D4C2411yescharacteristic
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2411yescharacteristic
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2412yes—
844C22×D4C2411yescharacteristic
845C22×D4C2411yescharacteristic
846C22×D4C2412yes—
847C22×D4C2412yes—
848C22×D4C2414yes—
849C22×D4C2414yes—
850C22×D4C2414yes—
851C22×D4C2412yes—
852C22×D4C2414yes—
853C22×D4C2412yes—
854C22×D4C2414yes—
855C22×D4C2414yes—
856C22×D4C2414yes—
857C23×C4C2411yescharacteristic
858C23×C4C2412yes—
859C23×C4C2411yescharacteristic
860C23×C4C2412yes—
861C23×C4C2411yescharacteristic
862C23×C4C2412yes—
863C23×C4C2411yescharacteristic
864C23×C4C2412yes—
865C23×C4C2411yescharacteristic
866C23×C4C2412yes—
867C23×C4C2414yes—
868C23×C4C2411yescharacteristic
869C23×C4C2414yes—
870C23×C4C2414yes—
871C23×C4C2414yes—
872C23×C4C2414yes—
873C4⋊Q8—24no—
874C4⋊Q8—42no—
875#127—24no—
876#127—24no—
877#127—44no—
878#127—48no—
879#126—48no—
880#126—48no—
881#126—48no—
882#125—44no—
883#125—44no—
884#125—48no—
885#124—28no—
886#124—24no—
887#124—28no—
888#124—44no—
889#124—48no—
890#124—48no—
891#123—48no—
892#123—48no—
893#123—48no—
894#123—48no—
895#123—48no—
896#123—44no—
897#123—84no—
898#123—84no—
899C22⋊Q8—28no—
900C22⋊Q8—24no—
901#121—24no—
902#121—28no—
903#121—24no—
904#121—28no—
905#121—24no—
906#121—28no—
907#121—28no—
908#121—44no—
909#121—48no—
910#121—42no—
911#121—42no—
912#121—44no—
913#121—44no—
914#121—44no—
915#121—44no—
916#121—44no—
917#121—44no—
918#121—44no—
919#121—48no—
920#121—82no—
921#121—84no—
922#120—216no—
923#120—48no—
924#120—48no—
925#120—48no—
926#120—48no—
927C4×Q8—28no—
928C4×Q8—24no—
929C4×Q8—24no—
930C4×Q8—44no—
931C4×Q8—44no—
932C4×Q8—48no—
933C4×D4—24no—
934C4×D4—28no—
935C4×D4—28no—
936C4×D4—24no—
937C4×D4—28no—
938C4×D4—24no—
939C4×D4—24no—
940C4×D4—48no—
941C4×D4—44no—
942C4×D4—44no—
943C4×D4—48no—
944C4×D4—44no—
945C4×D4—44no—
946C4×D4—44no—
947C4×D4—44no—
948C4×D4—42no—
949C4×D4—44no—
950C4×D4—44no—
951C4×D4—44no—
952C4×D4—42no—
953C4×D4—48no—
954C4×D4—48no—
955C4×D4—48no—
956C4×D4—84no—
957C4×D4—82no—
958C4×D4#4118yes—
959#117—24no—
960#117—24no—
961#117—28no—
962#117—44no—
963#117—44no—
964#117—48no—
965#117—42no—
966#117—44no—
967#117—44no—
968#117—44no—
969#117—44no—
970#117—44no—
971C2×C4⋊C4—28no—
972C2×C4⋊C4—44no—
973C2×C4⋊C4—44no—
974C2×C4⋊C4—44no—
975C2×C4⋊C4—82no—
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2411yescharacteristic
1033C2×C22⋊C4—48no—
1034C2×C22⋊C4—84no—
1035C2×C22⋊C4—84no—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2411yescharacteristic
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2411yescharacteristic
1049C2×C22⋊C4C2411yescharacteristic
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2411yescharacteristic
1088C2×C22⋊C4C2411yescharacteristic
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2411yescharacteristic
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2412yes—
1113C2×C42—28no—
1114C2×C42—24no—
1115C2×C42—24no—
1116C2×C42C2411yescharacteristic
1117C2×C42C2411yescharacteristic
1118C2×C42C2411yescharacteristic
1119C2×C42C2412yes—
1120C2×C42C2412yes—
1121C2×C42C2412yes—
1122C2×C42C2414yes—
1123C2×C42C2412yes—
1124C2×C42C2412yes—
1125C2×C42C2411yescharacteristic
1126C2×C42C2411yescharacteristic
1127C2×C42C2411yescharacteristic
1128C2×C42C2412yes—
1129C2×C42C2411yescharacteristic
1130C2×C42C2412yes—
1131C2×C42C2412yes—
1132C2×C42C2411yescharacteristic
1133C2×C42C2412yes—
1134C2×C42C2411yescharacteristic
1135C2×C42C2411yescharacteristic
1136C2×C42C2414yes—
1137C2×C42C2414yes—
1138C2×C42C2414yes—
1139C2×C42C2414yes—
1140C2×C42C2414yes—
1141C2×C42C2412yes—
1142C2×C42C2412yes—
1143C2×C42C2411yescharacteristic
1144C2×C42C2411yescharacteristic
1145C2×C42C2414yes—
1146C2×C42C2411yescharacteristic
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2414yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2411yescharacteristic
1164#95C2411yescharacteristic
1165#95C2412yes—
1166#95C2411yescharacteristic
1167#95C2411yescharacteristic
1168#95C2411yescharacteristic
1169#95C2411yescharacteristic
1170#95C2412yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2414yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2414yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2414yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2414yes—
1203C24—28no—
1204C24—44no—
1205C24—44no—
1206C24—44no—
1207C24—44no—
1208C24—44no—
1209C24—44no—
1210C24C2512yes—
1211C24C2514yes—
1212C24C2511yescharacteristic
1213C24C2512yes—
1214C24C2512yes—
1215C24C2511yescharacteristic
1216#41—432no—
1217#41—416no—
1218C2×Q8—22no—
1219C2×Q8—24no—
1220C2×Q8—24no—
1221C2×Q8—22no—
1222C2×Q8—42no—
1223C2×Q8—42no—
1224C2×Q8—42no—
1225C2×Q8—42no—
1226C2×Q8H(5,𝔽2)14yes—
1227C2×D4—24no—
1228C2×D4—24no—
1229C2×D4—24no—
1230C2×D4—24no—
1231C2×D4—22no—
1232C2×D4—24no—
1233C2×D4—24no—
1234C2×D4—28no—
1235C2×D4—28no—
1236C2×D4—24no—
1237C2×D4—22no—
1238C2×D4—22no—
1239C2×D4—24no—
1240C2×D4—24no—
1241C2×D4—24no—
1242C2×D4—24no—
1243C2×D4—28no—
1244C2×D4—22no—
1245C2×D4—24no—
1246C2×D4—22no—
1247C2×D4—24no—
1248C2×D4—24no—
1249C2×D4—24no—
1250C2×D4—22no—
1251C2×D4—22no—
1252C2×D4—24no—
1253C2×D4—24no—
1254C2×D4—24no—
1255C2×D4—22no—
1256C2×D4—22no—
1257C2×D4—41no—
1258C2×D4—41no—
1259C2×D4—42no—
1260C2×D4—42no—
1261C2×D4—42no—
1262C2×D4—42no—
1263C2×D4—42no—
1264C2×D4—42no—
1265C2×D4—42no—
1266C2×D4—44no—
1267C2×D4—42no—
1268C2×D4—42no—
1269C2×D4—44no—
1270C2×D4—44no—
1271C2×D4—42no—
1272C2×D4—44no—
1273C2×D4—42no—
1274C2×D4—44no—
1275C2×D4—42no—
1276C2×D4—44no—
1277C2×D4—42no—
1278C2×D4—42no—
1279C2×D4—44no—
1280C2×D4—42no—
1281C2×D4—44no—
1282C2×D4—44no—
1283C2×D4—44no—
1284C2×D4—44no—
1285C2×D4—44no—
1286C2×D4—44no—
1287C2×D4—44no—
1288C2×D4—44no—
1289C2×D4—44no—
1290C2×D4—44no—
1291C2×D4—44no—
1292C2×D4—816no—
1293C2×D4—816no—
1294C2×D4C2×#4114yes—
1295C22×C4—22no—
1296C22×C4—24no—
1297C22×C4—24no—
1298C22×C4—22no—
1299C22×C4—24no—
1300C22×C4—24no—
1301C22×C4—28no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—24no—
1307C22×C4—24no—
1308C22×C4—24no—
1309C22×C4—22no—
1310C22×C4—24no—
1311C22×C4—22no—
1312C22×C4—24no—
1313C22×C4—22no—
1314C22×C4—24no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—22no—
1319C22×C4—24no—
1320C22×C4—22no—
1321C22×C4—41no—
1322C22×C4—42no—
1323C22×C4—42no—
1324C22×C4—44no—
1325C22×C4—44no—
1326C22×C4—41no—
1327C22×C4—41no—
1328C22×C4—42no—
1329C22×C4—44no—
1330C22×C4—44no—
1331C22×C4—44no—
1332C22×C4—44no—
1333C22×C4—44no—
1334C22×C4—44no—
1335C22×C4—44no—
1336C22×C4—44no—
1337C22×C4—44no—
1338C22×C4—44no—
1339C22×C4—44no—
1340C22×C4—44no—
1341C22×C4C2×#4118yes—
1342C22×C4H(5,𝔽2)14yes—
1343C22×C4C2511yescharacteristic
1344C22×C4C2512yes—
1345C22×C4C2512yes—
1346C22×C4C2511yescharacteristic
1347C22×C4C2512yes—
1348C22×C4C2512yes—
1349C22×C4C2512yes—
1350C22×C4C2511yescharacteristic
1351C22×C4C2512yes—
1352C22×C4C2514yes—
1353C22×C4C2512yes—
1354C22×C4C2511yescharacteristic
1355C22×C4C2511yescharacteristic
1356C22×C4C2511yescharacteristic
1357C22×C4C2512yes—
1358C22×C4C2511yescharacteristic
1359C22×C4C2511yescharacteristic
1360C22×C4C2512yes—
1361C22×C4C2514yes—
1362C22×C4C2512yes—
1363C22×C4C2512yes—
1364C22×C4C2514yes—
1365C22×C4C2512yes—
1366C22×C4C2511yescharacteristic
1367C22×C4C2511yescharacteristic
1368C22×C4C2512yes—
1369C22×C4C2511yescharacteristic
1370C22×C4C2511yescharacteristic
1371C22×C4C2511yescharacteristic
1372C4⋊C4—24no—
1373C4⋊C4—24no—
1374C4⋊C4—22no—
1375C4⋊C4—22no—
1376C4⋊C4—24no—
1377C4⋊C4—22no—
1378C4⋊C4—24no—
1379C4⋊C4—24no—
1380C4⋊C4—28no—
1381C4⋊C4—22no—
1382C4⋊C4—24no—
1383C4⋊C4—24no—
1384C4⋊C4—22no—
1385C4⋊C4—22no—
1386C4⋊C4—24no—
1387C4⋊C4—22no—
1388C4⋊C4—28no—
1389C4⋊C4—22no—
1390C4⋊C4—28no—
1391C4⋊C4—24no—
1392C4⋊C4—22no—
1393C4⋊C4—22no—
1394C4⋊C4—22no—
1395C4⋊C4—22no—
1396C4⋊C4—24no—
1397C4⋊C4—22no—
1398C4⋊C4—24no—
1399C4⋊C4—44no—
1400C4⋊C4—44no—
1401C4⋊C4—44no—
1402C4⋊C4—44no—
1403C4⋊C4—42no—
1404C4⋊C4—42no—
1405C4⋊C4—42no—
1406C4⋊C4—42no—
1407C4⋊C4—42no—
1408C4⋊C4—42no—
1409C4⋊C4—44no—
1410C4⋊C4—41no—
1411C4⋊C4—42no—
1412C4⋊C4—42no—
1413C4⋊C4—42no—
1414C4⋊C4—44no—
1415C4⋊C4—42no—
1416C4⋊C4—44no—
1417C4⋊C4—42no—
1418C4⋊C4—42no—
1419C4⋊C4—42no—
1420C4⋊C4—44no—
1421C4⋊C4—44no—
1422C4⋊C4—44no—
1423C4⋊C4—42no—
1424C4⋊C4—44no—
1425C4⋊C4—44no—
1426C4⋊C4—44no—
1427C4⋊C4—42no—
1428C4⋊C4C2×#4114yes—
1429C22⋊C4—24no—
1430C22⋊C4—24no—
1431C22⋊C4—24no—
1432C22⋊C4—22no—
1433C22⋊C4—24no—
1434C22⋊C4—24no—
1435C22⋊C4—24no—
1436C22⋊C4—24no—
1437C22⋊C4—28no—
1438C22⋊C4—28no—
1439C22⋊C4—28no—
1440C22⋊C4—24no—
1441C22⋊C4—22no—
1442C22⋊C4—24no—
1443C22⋊C4—24no—
1444C22⋊C4—28no—
1445C22⋊C4—28no—
1446C22⋊C4—24no—
1447C22⋊C4—22no—
1448C22⋊C4—24no—
1449C22⋊C4—28no—
1450C22⋊C4—42no—
1451C22⋊C4—44no—
1452C22⋊C4—42no—
1453C22⋊C4—42no—
1454C22⋊C4—42no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—42no—
1461C22⋊C4—42no—
1462C22⋊C4—42no—
1463C22⋊C4—42no—
1464C22⋊C4—42no—
1465C22⋊C4—42no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—42no—
1473C22⋊C4—42no—
1474C22⋊C4—41no—
1475C22⋊C4—41no—
1476C22⋊C4—44no—
1477C22⋊C4—41no—
1478C22⋊C4—44no—
1479C22⋊C4—42no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C22⋊C4—44no—
1483C22⋊C4—44no—
1484C22⋊C4—42no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—44no—
1491C22⋊C4—44no—
1492C22⋊C4—42no—
1493C22⋊C4—42no—
1494C22⋊C4—44no—
1495C22⋊C4—42no—
1496C22⋊C4—42no—
1497C22⋊C4—42no—
1498C22⋊C4—42no—
1499C22⋊C4—42no—
1500C22⋊C4—42no—
1501C22⋊C4—42no—
1502C22⋊C4—42no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4C2×#4118yes—
1506C42—22no—
1507C42—22no—
1508C42—24no—
1509C42—22no—
1510C42—24no—
1511C42—24no—
1512C42—22no—
1513C42—22no—
1514C42—22no—
1515C42—24no—
1516C42—28no—
1517C42—22no—
1518C42—24no—
1519C42—22no—
1520C42—24no—
1521C42—22no—
1522C42—22no—
1523C42—24no—
1524C42—24no—
1525C42—24no—
1526C42—42no—
1527C42—44no—
1528C42—44no—
1529C42—44no—
1530C42—44no—
1531C42—44no—
1532C42—41no—
1533C42—42no—
1534C42—41no—
1535C42—44no—
1536C42C2×#4114yes—
1537C23—21no—
1538C23—21no—
1539C23—22no—
1540C23—22no—
1541C23—22no—
1542C23—21no—
1543C23—22no—
1544C23—21no—
1545C23—21no—
1546C23—22no—
1547C23—22no—
1548C23—21no—
1549C23—21no—
1550C23—22no—
1551C23—22no—
1552C23—24no—
1553C23—22no—
1554C23—22no—
1555C23—24no—
1556C23—21no—
1557C23—24no—
1558C23—22no—
1559C23—22no—
1560C23—21no—
1561C23—21no—
1562C23—24no—
1563C23—22no—
1564C23—22no—
1565C23—21no—
1566C23—22no—
1567C23—24no—
1568C23—24no—
1569C23—22no—
1570C23—22no—
1571C23—21no—
1572C23—22no—
1573C23—22no—
1574C23—22no—
1575C23—24no—
1576C23—21no—
1577C23—88no—
1578C23—88no—
1579C23—88no—
1580C23—88no—
1581C23—88no—
1582C23—164no—
1583C23—164no—
1584C23C22×#4114yes—
1585C23C2×H(5,𝔽2)12yes—
1586C23C2611yescharacteristic
1587Q8—28no—
1588Q8—48no—
1589Q8—84no—
1590D4—28no—
1591D4—48no—
1592D4—48no—
1593D4—48no—
1594D4—48no—
1595D4—48no—
1596D4—44no—
1597D4—44no—
1598D4—48no—
1599D4—48no—
1600D4—44no—
1601D4—84no—
1602D4—88no—
1603D4—88no—
1604D4—84no—
1605D4—88no—
1606D4—88no—
1607D4—84no—
1608D4—84no—
1609D4—164no—
1610D4—164no—
1611D4—164no—
1612C2×C4—21no—
1613C2×C4—22no—
1614C2×C4—21no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—22no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—216no—
1623C2×C4—28no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—22no—
1628C2×C4—21no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—24no—
1634C2×C4—22no—
1635C2×C4—21no—
1636C2×C4—22no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—22no—
1640C2×C4—21no—
1641C2×C4—22no—
1642C2×C4—21no—
1643C2×C4—22no—
1644C2×C4—24no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—24no—
1648C2×C4—22no—
1649C2×C4—24no—
1650C2×C4—24no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—21no—
1657C2×C4—22no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—22no—
1661C2×C4—21no—
1662C2×C4—22no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—22no—
1666C2×C4—24no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—24no—
1670C2×C4—21no—
1671C2×C4—22no—
1672C2×C4—21no—
1673C2×C4—22no—
1674C2×C4—21no—
1675C2×C4—22no—
1676C2×C4—21no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—21no—
1681C2×C4—22no—
1682C2×C4—21no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—21no—
1686C2×C4—22no—
1687C2×C4—24no—
1688C2×C4—24no—
1689C2×C4—22no—
1690C2×C4—44no—
1691C2×C4—48no—
1692C2×C4—44no—
1693C2×C4—48no—
1694C2×C4—44no—
1695C2×C4—44no—
1696C2×C4—48no—
1697C2×C4—82no—
1698C2×C4—84no—
1699C2×C4—88no—
1700C2×C4—164no—
1701C2×C4—164no—
1702C2×C4—164no—
1703C2×C4—164no—
1704C2×C4C22×#4112yes—
1705C2×C4C22×#4114yes—
1706C2×C4C22×#4112yes—
1707C2×C4C22×#4112yes—
1708C2×C4C2×H(5,𝔽2)14yes—
1709C2×C4C2×H(5,𝔽2)12yes—
1710C2×C4C2×H(5,𝔽2)12yes—
1711C2×C4C2×H(5,𝔽2)12yes—
1712C2×C4#58512yes—
1713C2×C4#58512yes—
1714C2×C4#58512yes—
1715C22—24no—
1716C22—22no—
1717C22—24no—
1718C22—24no—
1719C22—22no—
1720C22—22no—
1721C22—41no—
1722C22—41no—
1723C22—42no—
1724C22—41no—
1725C22—42no—
1726C22—42no—
1727C22—41no—
1728C22—42no—
1729C22—41no—
1730C22—42no—
1731C22—44no—
1732C22—42no—
1733C22—42no—
1734C22—41no—
1735C22—44no—
1736C22—42no—
1737C22—42no—
1738C22—41no—
1739C22—42no—
1740C22—44no—
1741C22—41no—
1742C22—42no—
1743C22—44no—
1744C22—42no—
1745C22—41no—
1746C22—44no—
1747C22—42no—
1748C22—42no—
1749C22—42no—
1750C22—44no—
1751C22—42no—
1752C22—41no—
1753C22—44no—
1754C22—41no—
1755C22—42no—
1756C22—42no—
1757C22—1616no—
1758C22C23×#4111yescharacteristic
1759C22C22×H(5,𝔽2)11yescharacteristic
1760C22C22×H(5,𝔽2)11yescharacteristic
1761C22C2×#58511yescharacteristic
1762C22C2×#58511yescharacteristic
1763C22C2×#58511yescharacteristic
1764C22H(7,𝔽2)11yescharacteristic
1765C4—22no—
1766C4—22no—
1767C4—24no—
1768C4—22no—
1769C4—24no—
1770C4—42no—
1771C4—41no—
1772C4—42no—
1773C4—42no—
1774C4—42no—
1775C4—41no—
1776C4—41no—
1777C4—42no—
1778C4—41no—
1779C4—41no—
1780C4—42no—
1781C4—42no—
1782C4—41no—
1783C4—44no—
1784C4—44no—
1785C4—44no—
1786C4—42no—
1787C4—41no—
1788C4—42no—
1789C4—41no—
1790C4—42no—
1791C4—42no—
1792C4#349414yes—
1793C4#351314yes—
1794C2—42no—
1795C2—44no—
1796C2—81no—
1797C2—82no—
1798C2—84no—
1799C2—82no—
1800C2C2×#351311yescharacteristic
1801C2C2×#349411yescharacteristic
1802C2#6283611yescharacteristic
1803C2#6291611yescharacteristic
1804C2#6293811yescharacteristic
1805C2#6300811yescharacteristic
1806C2#6302211yescharacteristic
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. #59641C2semidirect
2. #59414C2semidirect
3. #59312C2semidirect
4. #59212C2semidirect
5. #59208C2semidirect
6. #51456C2semidirect
7. #49641C2semidirect
8. #46768C2semidirect
9. #45380C2semidirect
10. #45023C2semidirect
11. #44974C2semidirect
12. #44899C2semidirect
13. #43472C2semidirect
14. #42975C2semidirect
15. #42593C2semidirect
16. #39937C2semidirect
17. #39781C2semidirect
18. #39498C2semidirect
19. #39342C2semidirect
20. #39194C2semidirect
21. #39066C2semidirect
22. #38942C2semidirect
23. #37975C2semidirect
24. #36460C2semidirect
25. #36258C2semidirect
26. #36182C2semidirect
27. #35853C2semidirect
28. #35752C2semidirect
29. #35593C2semidirect
30. #35531C2semidirect
31. #34800C2semidirect
32. #34715C2semidirect
33. #34493C2semidirect
34. #34207C2semidirect
35. #34193C2semidirect
36. C2×#559C22semidirect
37. C2×#553C22semidirect
38. C2×#552C22semidirect
43. C2×#520C22semidirect
45. #2860C22semidirect
46. #2859C22semidirect
50. #2828C22semidirect
51. #2807C22semidirect
52. #2801C22semidirect
53. #2801C22semidirect
54. #2800C22semidirect
55. #2788C22semidirect
56. #2778C22semidirect
57. #2760C22semidirect
58. #2759C22semidirect
59. #2757C22semidirect
60. #2756C22semidirect
61. #2752C22semidirect
62. #2749C22semidirect
63. #2749C22semidirect
64. #2746C22semidirect
65. #2746C22semidirect
66. #2736C22semidirect
67. #2721C22semidirect
68. #2711C22semidirect
69. #2710C22semidirect
70. #2710C22semidirect
71. #2707C22semidirect
72. #2706C22semidirect
73. #2705C22semidirect
74. #2701C22semidirect
75. #2699C22semidirect
76. #2685C22semidirect
77. #2685C22semidirect
78. #2685C22semidirect
79. #2678C22semidirect
80. #2673C22semidirect
82. #2670C22semidirect
84. #2662C22semidirect
85. #2662C22semidirect
86. #2651C22semidirect
87. #2641C22semidirect
88. #2635C22semidirect
89. #2628C22semidirect
90. #2624C22semidirect
92. #2610C22semidirect
93. #2603C22semidirect
94. #2602C22semidirect
95. #2600C22semidirect
96. #2595C22semidirect
97. #2594C22semidirect
98. #2593C22semidirect
99. #2584C22semidirect
101. #2580C22semidirect
102. #2571C22semidirect
103. #2566C22semidirect
104. #2559C22semidirect
105. #2558C22semidirect
106. #2558C22semidirect
107. #2557C22semidirect
108. #2552C22semidirect
109. #2552C22semidirect
113. #2539C22semidirect
116. #2537C22semidirect
117. #2535C22semidirect
118. #2534C22semidirect
119. #2532C22semidirect
120. #2527C22semidirect
121. #2526C22semidirect
122. #2526C22semidirect
123. #2526C22semidirect
124. #2522C22semidirect
125. #2521C22semidirect
126. #2518C22semidirect
129. #2512C22semidirect
130. #2512C22semidirect
131. #2512C22semidirect
132. #2509C22semidirect
133. #2508C22semidirect
135. #2504C22semidirect
137. #2501C22semidirect
140. #2500C22semidirect
141. #2500C22semidirect
142. #2500C22semidirect
143. #2497C22semidirect
144. #2494C22semidirect
145. #2494C22semidirect
146. #2494C22semidirect
147. #2494C22semidirect
150. #2491C22semidirect
152. #2490C22semidirect
153. #2486C22semidirect
154. #2485C22semidirect
155. #2485C22semidirect
156. #2483C22semidirect
157. #2480C22semidirect
158. #2476C22semidirect
159. #2474C22semidirect
160. #2471C22semidirect
161. #2469C22semidirect
162. #2467C22semidirect
163. #2464C22semidirect
164. #2459C22semidirect
165. #2459C22semidirect
166. #2458C22semidirect
167. #2456C22semidirect
168. #2456C22semidirect
169. #2455C22semidirect
171. #2451C22semidirect
172. #2448C22semidirect
173. #2448C22semidirect
174. #2448C22semidirect
176. #2445C22semidirect
177. #2445C22semidirect
178. #2445C22semidirect
179. #2445C22semidirect
180. #2442C22semidirect
181. #2441C22semidirect
182. #2441C22semidirect
183. #2441C22semidirect
184. #2439C22semidirect
185. #2439C22semidirect
188. #2428C22semidirect
190. #2426C22semidirect
191. #2426C22semidirect
192. #2426C22semidirect
194. #2423C22semidirect
195. #2422C22semidirect
196. #2422C22semidirect
197. #2422C22semidirect
199. #2420C22semidirect
200. #2420C22semidirect
201. #2418C22semidirect
202. #2418C22semidirect
203. #2418C22semidirect
204. #2418C22semidirect
205. #2418C22semidirect
207. #2416C22semidirect
208. #2416C22semidirect
213. #2414C22semidirect
214. #2414C22semidirect
215. #2414C22semidirect
216. #2413C22semidirect
222. #2398C22semidirect
223. #2392C22semidirect
224. #2392C22semidirect
225. #2392C22semidirect
226. #2388C22semidirect
231. #2363C22semidirect
232. #2363C22semidirect
234. #2361C22semidirect
235. #2361C22semidirect
236. #2361C22semidirect
237. #2361C22semidirect
238. #2361C22semidirect
239. #2358C22semidirect
240. #2357C22semidirect
244. #2354C22semidirect
245. #2354C22semidirect
246. #2354C22semidirect
247. #2354C22semidirect
248. #2352C22semidirect
249. Q8×C4⋊C4C22semidirect
250. Q8×C4⋊C4C22semidirect
252. D4×C4⋊C4C22semidirect
253. D4×C4⋊C4C22semidirect
254. #2347C22semidirect
255. #2347C22semidirect
256. #2344C22semidirect
261. #2334C22semidirect
262. #2326C22semidirect
265. #2323C22semidirect
268. #2319C22semidirect
269. #2319C22semidirect
270. #2317C22semidirect
271. #2311C22semidirect
274. C4×C4⋊Q8C22semidirect
275. C4×C4⋊Q8C22semidirect
278. C4×#124C22semidirect
279. C4×#124C22semidirect
280. C4×#124C22semidirect
281. C4×C22⋊Q8C22semidirect
282. C4×#123C22semidirect
285. C4×#121C22semidirect
286. #2298C22semidirect
287. #2297C22semidirect
291. #2285C22semidirect
292. #2285C22semidirect
293. C2×#384C22semidirect
294. #2283C22semidirect
295. #2283C22semidirect
296. #2276C22semidirect
297. C42×D4C22semidirect
298. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#596412
#594142
#593122
#592122
#592082
#514562
#496412
#467682
#453802
#450232
#449742
#448992
#434722
#429752
#425932
#399372
#397812
#394982
#393422
#391942
#390662
#389422
#379752
#364602
#362582
#361822
#358532
#357522
#355932
#355312
#348002
#347152
#344932
#342072
#341932