Finite Group Databasebeta

← #7657642

Subgroups — #7657642

Order 512.

5457 conjugacy classes of subgroups.

The subgroup lattice has 1828 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42975C212yesmaximal, complemented
2#42974C212yesmaximal, complemented
3#42468C212yesmaximal, complemented
4#42467C212yesmaximal, complemented
5#42066C214yesmaximal, complemented
6#42065C214yesmaximal, complemented
7#40937C214yesmaximal, complemented
8#40922C214yesmaximal, complemented
9#39736C211yesmaximal, characteristic, complemented
10#39735C211yesmaximal, characteristic, complemented
11#39070C212yesmaximal, complemented
12#39066C212yesmaximal, complemented
13#38942C211yesmaximal, characteristic, complemented
14#38941C211yesmaximal, characteristic, complemented
15#37786C212yesmaximal, complemented
16#37782C212yesmaximal, complemented
17#37624C211yesmaximal, characteristic, complemented
18#37614C211yesmaximal, characteristic, complemented
19#37591C212yesmaximal, complemented
20#37587C212yesmaximal, complemented
21#36472C211yesmaximal, characteristic, complemented
22#36460C211yesmaximal, characteristic, complemented
23#36126C211yesmaximal, characteristic, complemented
24#36117C211yesmaximal, characteristic, complemented
25#35823C212yesmaximal, complemented
26#35785C212yesmaximal, complemented
27#35768C212yesmaximal, complemented
28#35730C212yesmaximal, complemented
29#35287C212yesmaximal, complemented
30#35272C211yesmaximal, characteristic, complemented
31#34624C212yesmaximal, complemented
32#34614C211yesmaximal, characteristic, complemented
33#34242C211yesmaximal, characteristic, complemented
34#34210C211yesmaximal, characteristic, complemented
35#34121C211yesmaximal, characteristic, complemented
36C2×#553C2212yescomplemented
37C2×#547C2212yescomplemented
38C2×#535C2212yes—
39C2×#532C2212yescomplemented
40C22×#127C2211yescharacteristic
41C2×#529C2211yescharacteristic
42C2×#529C2212yescomplemented
43C2×#518C2212yes—
44C2×C4×#41C2211yescharacteristic
45#2860C2212yescomplemented
46#2860C2212yescomplemented
47#2856C2211yescharacteristic
48#2856C2211yescharacteristic
49#2856C2211yescharacteristic
50#2856C2211yescharacteristic
51#2854C2212yescomplemented
52#2854C2212yescomplemented
53#2841C2214yes—
54#2830C2214yescomplemented
55#2829C2214yescomplemented
56#2829C2214yescomplemented
57#2828C2214yescomplemented
58#2818C2214yes—
59#2761C2214yescomplemented
60#2756C2214yescomplemented
61#2753C2214yescomplemented
62#2752C2214yescomplemented
63#2751C2214yescomplemented
64#2740C2214yescomplemented
65#2737C2214yescomplemented
66#2736C2214yes—
67#2735C2214yes—
68#2715C2214yescomplemented
69#2712C2214yescomplemented
70#2709C2214yescomplemented
71#2705C2214yescomplemented
72#2703C2214yescomplemented
73#2699C2214yescomplemented
74#2697C2214yes—
75#2691C2214yescomplemented
76#2686C2214yescomplemented
77#2685C2214yes—
78#2685C2214yes—
79#2685C2214yes—
80#2678C2214yes—
81#2673C2214yescomplemented
82#2670C2214yes—
83#2666C2214yescomplemented
84#2662C2214yescomplemented
85#2662C2214yescomplemented
86#2662C2214yescomplemented
87#2661C2214yescomplemented
88#2661C2214yescomplemented
89#2661C2214yescomplemented
90#2660C2212yescomplemented
91#2657C2212yes—
92#2651C2214yescomplemented
93#2648C2214yescomplemented
94#2647C2212yescomplemented
95#2641C2212yes—
96#2641C2212yescomplemented
97#2640C2212yescomplemented
98#2638C2214yescomplemented
99#2637C2212yescomplemented
100#2636C2212yescomplemented
101#2635C2214yescomplemented
102#2630C2212yes—
103#2630C2212yes—
104#2630C2214yescomplemented
105#2630C2214yescomplemented
106#2629C2212yes—
107#2629C2211yescharacteristic, complemented
108#2629C2211yescharacteristic, complemented
109#2628C2212yes—
110#2625C2211yescharacteristic
111#2624C2211yescharacteristic
112#2620C2211yescharacteristic, complemented
113#2620C2211yescharacteristic, complemented
114#2620C2212yescomplemented
115#2619C2212yes—
116#2619C2212yes—
117#2619C2212yes—
118#2619C2212yes—
119#2619C2212yescomplemented
120#2616C2211yescharacteristic
121#2615C2211yescharacteristic
122#2613C2214yes—
123#2603C2214yescomplemented
124#2602C2214yescomplemented
125#2595C2214yescomplemented
126#2593C2214yescomplemented
127#2593C2214yescomplemented
128#2571C2211yescharacteristic, complemented
129#2570C2212yescomplemented
130#2566C2212yescomplemented
131#2563C2212yescomplemented
132#2561C2214yes—
133#2560C2214yescomplemented
134#2559C2214yescomplemented
135#2554C2214yescomplemented
136#2554C2214yescomplemented
137#2552C2211yescharacteristic, complemented
138#2552C2211yescharacteristic, complemented
139#2551C2211yescharacteristic, complemented
140#2550C2212yescomplemented
141#2548C2211yescharacteristic
142#2548C2211yescharacteristic
143#2548C2212yes—
144#2548C2212yes—
145#2541C2211yescharacteristic
146#2541C2211yescharacteristic
147#2541C2212yes—
148#2541C2212yes—
149#2537C2212yescomplemented
150#2535C2212yescomplemented
151#2534C2214yes—
152#2526C2214yescomplemented
153#2513C2212yescomplemented
154#2513C2212yescomplemented
155#2512C2212yescomplemented
156#2512C2212yescomplemented
157#2512C2212yescomplemented
158#2512C2212yescomplemented
159#2501C2212yescomplemented
160#2500C2212yescomplemented
161#2500C2212yescomplemented
162#2500C2212yescomplemented
163#2491C2212yescomplemented
164#2491C2212yescomplemented
165#2491C2212yescomplemented
166#2490C2212yescomplemented
167#2490C2212yescomplemented
168#2490C2212yescomplemented
169#2480C2214yes—
170#2479C2214yescomplemented
171#2474C2214yescomplemented
172#2468C2214yescomplemented
173#2468C2214yescomplemented
174#2468C2214yescomplemented
175#2467C2214yescomplemented
176#2464C2214yescomplemented
177#2464C2214yescomplemented
178#2461C2214yescomplemented
179#2461C2214yescomplemented
180#2459C2214yescomplemented
181#2457C2214yescomplemented
182#2457C2214yescomplemented
183#2457C2214yescomplemented
184#2454C2212yescomplemented
185#2452C2212yescomplemented
186#2448C2212yescomplemented
187#2447C2212yescomplemented
188#2445C2212yescomplemented
189#2445C2212yescomplemented
190#2445C2214yescomplemented
191#2441C2212yes—
192#2439C2212yes—
193#2435C2212yes—
194#2433C2212yes—
195#2431C2214yescomplemented
196#2430C2214yescomplemented
197#2428C2212yescomplemented
198#2428C2212yescomplemented
199#2427C2212yescomplemented
200#2426C2212yescomplemented
201#2425C2214yescomplemented
202#2424C2214yes—
203#2422C2212yescomplemented
204#2422C2212yescomplemented
205#2420C2212yescomplemented
206#2420C2212yescomplemented
207#2420C2212yescomplemented
208#2420C2212yescomplemented
209#2418C2214yes—
210#2418C2214yes—
211#2416C2212yescomplemented
212#2414C2212yescomplemented
213#2414C2212yescomplemented
214#2414C2212yescomplemented
215#2411C2214yes—
216#2408C2212yes—
217#2408C2212yes—
218#2408C2212yes—
219#2408C2212yes—
220#2408C2212yes—
221#2408C2212yes—
222#2404C2214yes—
223#2396C2212yescomplemented
224#2392C2212yes—
225#2392C2212yes—
226#2392C2212yescomplemented
227#2392C2214yescomplemented
228#2392C2214yescomplemented
229#2388C2214yescomplemented
230#2388C2214yescomplemented
231#2373C2214yescomplemented
232#2366C2211yescharacteristic
233#2366C2211yescharacteristic
234#2366C2211yescharacteristic
235#2366C2211yescharacteristic
236#2366C2212yes—
237#2366C2212yes—
238#2363C2212yes—
239#2363C2212yescomplemented
240#2362C2212yes—
241#2361C2212yescomplemented
242#2361C2212yescomplemented
243#2361C2212yescomplemented
244#2357C2212yes—
245#2357C2212yescomplemented
246#2356C2212yescomplemented
247#2355C2211yescharacteristic, complemented
248#2355C2211yescharacteristic, complemented
249#2355C2211yescharacteristic, complemented
250#2354C2211yescharacteristic
251#2354C2211yescharacteristic
252#2354C2212yes—
253#2354C2212yescomplemented
254#2354C2211yescharacteristic, complemented
255#2353C2212yes—
256#2353C2212yescomplemented
257#2352C2211yescharacteristic
258#2352C2211yescharacteristic
259#2352C2212yes—
260#2352C2211yescharacteristic, complemented
261#2352C2211yescharacteristic, complemented
262Q8×C4⋊C4C2211yescharacteristic, complemented
263D4×C4⋊C4C2211yescharacteristic, complemented
264D4×C22⋊C4C2212yes—
265D4×C22⋊C4C2212yes—
266D4×C22⋊C4C2214yes—
267#2335C2214yes—
268#2328C2214yes—
269#2324C2212yescomplemented
270#2324C2212yescomplemented
271#2319C2212yescomplemented
272#2319C2212yescomplemented
273#2314C2212yescomplemented
274#2309C2212yes—
275#2309C2212yes—
276C4×#127C2212yes—
277C4×#127C2212yes—
278C4×#127C2212yescomplemented
279C4×#125C2212yescomplemented
280C4×#124C2212yescomplemented
281C4×#124C2212yescomplemented
282C4×C22⋊Q8C2211yescharacteristic, complemented
283C4×C22⋊Q8C2211yescharacteristic, complemented
284C4×#121C2211yescharacteristic, complemented
285C4×#121C2211yescharacteristic, complemented
286#2298C2212yes—
287#2298C2212yescomplemented
288#2297C2212yes—
289#2285C2211yescharacteristic
290#2285C2211yescharacteristic
291#2285C2211yescharacteristic, complemented
292#2283C2211yescharacteristic
293#2283C2211yescharacteristic, complemented
294#2274C2212yescomplemented
295C4×#117C2211yescharacteristic
296C4×#117C2212yescomplemented
297C4×#117C2211yescharacteristic, complemented
298C2×C4×C4⋊C4C2211yescharacteristic, complemented
299C22×#41C2311yescharacteristic
300C22×#41C2314yes—
301C23×D4C2312yes—
302C23×D4C2312yes—
303C23×D4C2312yes—
304#553—48no—
305#547—48no—
306#535—48no—
307#532—48no—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×#127—28no—
311C2×#127C2312yes—
312C2×#127C2312yes—
313C2×#127C2311yescharacteristic
314C2×#127C2311yescharacteristic
315C2×#127C2312yes—
316C2×#127C2312yes—
317C2×#127C2312yes—
318C2×#127C2314yes—
319#529—28no—
320#529—48no—
321C2×#126C2312yes—
322C2×#126C2314yes—
323C2×#126C2314yes—
324C2×#126C2314yes—
325C2×#126C2314yes—
326C2×#125C2311yescharacteristic
327C2×#125C2312yes—
328C2×#125C2312yes—
329C2×#124C2311yescharacteristic
330C2×#124C2312yes—
331C2×#124C2312yes—
332C2×#124C2314yes—
333C2×#124C2314yes—
334C2×#124C2314yes—
335C2×#123C2312yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×C22⋊Q8C2311yescharacteristic
343C2×C22⋊Q8C2311yescharacteristic
344C2×C22⋊Q8C2314yes—
345C2×C22⋊Q8C2311yescharacteristic
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2311yescharacteristic
349C2×#121C2311yescharacteristic
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2311yescharacteristic
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2314yes—
362C2×#121C2314yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2314yes—
368C2×#120C2314yes—
369C2×#120C2314yes—
370C2×#120C2314yes—
371C2×#120C2314yes—
372#518—48no—
373C4×#41—28no—
374C2×C4×Q8C2311yescharacteristic
375C2×C4×Q8C2311yescharacteristic
376C2×C4×Q8C2311yescharacteristic
377C2×C4×Q8C2312yes—
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2312yes—
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2312yes—
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2314yes—
392C2×C4×D4C2314yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2314yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2314yes—
399C2×C4×D4C2314yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2314yes—
403C2×C4×D4C2314yes—
404C2×C4×D4C2314yes—
405C2×#117C2311yescharacteristic
406C2×#117C2312yes—
407C2×#117C2311yescharacteristic
408C2×#117C2311yescharacteristic
409C2×#117C2311yescharacteristic
410C2×#117C2311yescharacteristic
411C2×#117C2311yescharacteristic
412C2×#117C2312yes—
413C2×#117C2312yes—
414C2×#117C2312yes—
415C2×#117C2311yescharacteristic
416C2×#117C2312yes—
417C2×#117C2314yes—
418C22×C4⋊C4C2312yes—
419C22×C4⋊C4C2311yescharacteristic
420C22×C4⋊C4C2311yescharacteristic
421C22×C22⋊C4C2314yes—
422C22×C22⋊C4C2314yes—
423C22×C42C2312yes—
424C22×C42C2311yescharacteristic
425C22×C42C2311yescharacteristic
426C22×C42C2311yescharacteristic
427#400C2314yes—
428#400C2314yes—
429#400C2314yes—
430#400C2312yes—
431#399C2314yes—
432#399C2314yes—
433#399C2314yes—
434#399C2312yes—
435#398C2312yes—
436#398C2314yes—
437#398C2314yes—
438#398C2312yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2312yes—
443#398C2312yes—
444#398C2314yes—
445#398C2312yes—
446#397C2314yes—
447#397C2312yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2312yes—
459#397C2312yes—
460#397C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2312yes—
464#396C2312yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2312yes—
471#396C2312yes—
472#396C2312yes—
473#396C2314yes—
474#396C2312yes—
475#396C2312yes—
476#396C2312yes—
477#395C2314yes—
478#395C2314yes—
479#395C2312yes—
480#395C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2312yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2312yes—
508#394C2312yes—
509#394C2312yes—
510#394C2314yes—
511#394C2314yes—
512#394C2312yes—
513#394C2312yes—
514#394C2312yes—
515#394C2314yes—
516#394C2314yes—
517#394C2312yes—
518#394C2312yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#393C2314yes—
523#393C2314yes—
524#393C2314yes—
525#393C2314yes—
526#393C2314yes—
527#393C2312yes—
528#392C2314yes—
529#392C2314yes—
530#392C2314yes—
531#392C2314yes—
532#392C2314yes—
533#392C2314yes—
534#392C2314yes—
535#392C2314yes—
536#392C2314yes—
537#392C2314yes—
538#392C2314yes—
539#392C2314yes—
540#392C2312yes—
541#392C2312yes—
542#392C2312yes—
543#392C2314yes—
544#392C2314yes—
545#392C2314yes—
546#392C2314yes—
547#391C2314yes—
548#391C2312yes—
549#391C2312yes—
550#391C2312yes—
551#391C2311yescharacteristic
552#391C2311yescharacteristic
553#390C2314yes—
554#390C2314yes—
555#390C2314yes—
556#390C2314yes—
557#390C2314yes—
558#390C2312yes—
559#390C2312yes—
560#390C2312yes—
561#390C2312yes—
562#390C2311yescharacteristic
563#390C2312yes—
564#390C2314yes—
565#390C2314yes—
566#390C2312yes—
567#390C2312yes—
568#390C2312yes—
569#390C2314yes—
570#390C2312yes—
571#390C2312yes—
572#390C2312yes—
573#390C2312yes—
574#390C2312yes—
575#390C2312yes—
576#390C2312yes—
577#390C2312yes—
578#390C2312yes—
579#390C2312yes—
580#390C2312yes—
581#390C2312yes—
582#390C2314yes—
583#390C2314yes—
584#390C2314yes—
585#390C2312yes—
586#390C2312yes—
587#390C2312yes—
588#390C2312yes—
589#390C2312yes—
590#390C2312yes—
591#390C2312yes—
592#390C2312yes—
593#390C2312yes—
594#390C2312yes—
595#390C2312yes—
596#390C2314yes—
597#390C2311yescharacteristic
598#390C2314yes—
599#389C2312yes—
600#389C2312yes—
601#389C2312yes—
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2311yescharacteristic
606#389C2311yescharacteristic
607#389C2312yes—
608#389C2312yes—
609#389C2312yes—
610#389C2314yes—
611#389C2314yes—
612#389C2312yes—
613#389C2311yescharacteristic
614#389C2311yescharacteristic
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2312yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2312yes—
624#388C2314yes—
625#388C2312yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2312yes—
645#388C2314yes—
646#388C2312yes—
647#388C2312yes—
648#388C2312yes—
649#388C2312yes—
650#388C2312yes—
651#388C2314yes—
652#388C2312yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#387C2312yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2312yes—
664#387C2312yes—
665#387C2314yes—
666#387C2312yes—
667#387C2312yes—
668#387C2312yes—
669#387C2312yes—
670#387C2312yes—
671#387C2312yes—
672#387C2312yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2312yes—
688#386C2312yes—
689#386C2312yes—
690#386C2312yes—
691#386C2314yes—
692#386C2314yes—
693#386C2312yes—
694#386C2312yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2312yes—
706#385C2312yes—
707#384C2311yescharacteristic
708#384C2311yescharacteristic
709#384C2312yes—
710#384C2311yescharacteristic
711#384C2312yes—
712#384C2312yes—
713#384C2311yescharacteristic
714#384C2311yescharacteristic
715#384C2311yescharacteristic
716#383C2312yes—
717#383C2312yes—
718#382C2312yes—
719#382C2311yescharacteristic
720#382C2312yes—
721#382C2311yescharacteristic
722#382C2312yes—
723#382C2312yes—
724#382C2312yes—
725#382C2311yescharacteristic
726#382C2311yescharacteristic
727#382C2312yes—
728#381C2314yes—
729#381C2314yes—
730#381C2314yes—
731#381C2312yes—
732#381C2312yes—
733#381C2314yes—
734#380C2314yes—
735#380C2314yes—
736#380C2312yes—
737#380C2312yes—
738#380C2314yes—
739#380C2311yescharacteristic
740#380C2311yescharacteristic
741#380C2312yes—
742#380C2312yes—
743#380C2311yescharacteristic
744#380C2311yescharacteristic
745#380C2311yescharacteristic
746#380C2311yescharacteristic
747#380C2311yescharacteristic
748#380C2312yes—
749#380C2311yescharacteristic
750#380C2311yescharacteristic
751#380C2311yescharacteristic
752#380C2312yes—
753#380C2314yes—
754#380C2311yescharacteristic
755#380C2311yescharacteristic
756#379C2314yes—
757#379C2314yes—
758#379C2314yes—
759#379C2314yes—
760#379C2314yes—
761#379C2314yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2311yescharacteristic
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812#376C2312yes—
813#376C2312yes—
814#376C2312yes—
815#376C2312yes—
816C2×#95C2312yes—
817C43C2312yes—
818C43C2312yes—
819C25C2414yes—
820C2×#41—24no—
821C2×#41—24no—
822C2×#41—42no—
823C2×#41—48no—
824C2×#41—48no—
825C2×#41—84no—
826C22×Q8C2411yescharacteristic
827C22×Q8C2411yescharacteristic
828C22×Q8C2414yes—
829C22×D4—28no—
830C22×D4—28no—
831C22×D4—28no—
832C22×D4—44no—
833C22×D4—44no—
834C22×D4—44no—
835C22×D4—44no—
836C22×D4—82no—
837C22×D4—82no—
838C22×D4C2411yescharacteristic
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2411yescharacteristic
844C22×D4C2411yescharacteristic
845C22×D4C2411yescharacteristic
846C22×D4C2414yes—
847C22×D4C2414yes—
848C22×D4C2412yes—
849C22×D4C2414yes—
850C22×D4C2412yes—
851C22×D4C2414yes—
852C22×D4C2412yes—
853C22×D4C2412yes—
854C22×D4C2414yes—
855C22×D4C2414yes—
856C22×D4C2414yes—
857C22×D4C2414yes—
858C22×D4C2412yes—
859C22×D4C2414yes—
860C22×D4C2414yes—
861C22×D4C2414yes—
862C23×C4C2411yescharacteristic
863C23×C4C2412yes—
864C23×C4C2411yescharacteristic
865C23×C4C2411yescharacteristic
866C23×C4C2412yes—
867C23×C4C2411yescharacteristic
868C23×C4C2411yescharacteristic
869C23×C4C2411yescharacteristic
870C23×C4C2414yes—
871C23×C4C2414yes—
872C23×C4C2414yes—
873C23×C4C2412yes—
874C23×C4C2411yescharacteristic
875C23×C4C2411yescharacteristic
876C23×C4C2414yes—
877C23×C4C2414yes—
878C23×C4C2411yescharacteristic
879C4⋊Q8—44no—
880C4⋊Q8—44no—
881#127—24no—
882#127—24no—
883#127—28no—
884#127—28no—
885#127—28no—
886#127—44no—
887#127—44no—
888#127—48no—
889#126—28no—
890#126—48no—
891#126—48no—
892#126—84no—
893#126—84no—
894#125—24no—
895#125—44no—
896#125—44no—
897#124—24no—
898#124—48no—
899#124—44no—
900#124—44no—
901#124—48no—
902#124—84no—
903#123—28no—
904#123—48no—
905#123—48no—
906#123—48no—
907#123—48no—
908#123—84no—
909#123—84no—
910C22⋊Q8—24no—
911C22⋊Q8—24no—
912C22⋊Q8—48no—
913C22⋊Q8—42no—
914#121—24no—
915#121—28no—
916#121—24no—
917#121—28no—
918#121—48no—
919#121—44no—
920#121—44no—
921#121—44no—
922#121—44no—
923#121—42no—
924#121—44no—
925#121—44no—
926#121—44no—
927#121—44no—
928#121—44no—
929#121—44no—
930#121—48no—
931#121—82no—
932#121—84no—
933#121—82no—
934#121—82no—
935#121—82no—
936#120—48no—
937#120—48no—
938#120—84no—
939#120—84no—
940C4×Q8—24no—
941C4×Q8—24no—
942C4×Q8—24no—
943C4×Q8—44no—
944C4×D4—24no—
945C4×D4—24no—
946C4×D4—24no—
947C4×D4—24no—
948C4×D4—28no—
949C4×D4—28no—
950C4×D4—28no—
951C4×D4—24no—
952C4×D4—24no—
953C4×D4—24no—
954C4×D4—48no—
955C4×D4—48no—
956C4×D4—44no—
957C4×D4—44no—
958C4×D4—44no—
959C4×D4—44no—
960C4×D4—44no—
961C4×D4—44no—
962C4×D4—44no—
963C4×D4—48no—
964C4×D4—44no—
965C4×D4—48no—
966C4×D4—44no—
967C4×D4—48no—
968C4×D4—84no—
969C4×D4—84no—
970C4×D4—84no—
971#117—24no—
972#117—24no—
973#117—24no—
974#117—24no—
975#117—24no—
976#117—28no—
977#117—44no—
978#117—44no—
979#117—48no—
980#117—42no—
981#117—42no—
982#117—44no—
983#117—44no—
984C2×C4⋊C4—24no—
985C2×C4⋊C4—28no—
986C2×C4⋊C4—42no—
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2411yescharacteristic
1045C2×C22⋊C4—48no—
1046C2×C22⋊C4—48no—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2411yescharacteristic
1051C2×C22⋊C4C2411yescharacteristic
1052C2×C22⋊C4C2411yescharacteristic
1053C2×C22⋊C4C2411yescharacteristic
1054C2×C22⋊C4C2411yescharacteristic
1055C2×C22⋊C4C2411yescharacteristic
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C42—28no—
1123C2×C42—24no—
1124C2×C42—24no—
1125C2×C42#4118yescomplemented
1126C2×C42C2412yes—
1127C2×C42C2411yescharacteristic
1128C2×C42C2411yescharacteristic
1129C2×C42C2412yes—
1130C2×C42C2412yes—
1131C2×C42C2412yes—
1132C2×C42C2412yes—
1133C2×C42C2412yes—
1134C2×C42C2412yes—
1135C2×C42C2412yes—
1136C2×C42C2412yes—
1137C2×C42C2411yescharacteristic
1138C2×C42C2411yescharacteristic
1139C2×C42C2411yescharacteristic
1140C2×C42C2411yescharacteristic
1141C2×C42C2412yes—
1142C2×C42C2412yes—
1143C2×C42C2414yes—
1144C2×C42C2414yes—
1145C2×C42C2412yes—
1146C2×C42C2412yes—
1147C2×C42C2414yes—
1148C2×C42C2412yes—
1149C2×C42C2412yes—
1150C2×C42C2412yes—
1151C2×C42C2414yes—
1152C2×C42C2412yes—
1153C2×C42C2411yescharacteristic
1154C2×C42C2411yescharacteristic
1155C2×C42C2411yescharacteristic
1156C2×C42C2411yescharacteristic
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2412yes—
1182#95C2414yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2414yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2414yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2414yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2414yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2414yes—
1206#95C2412yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2414yes—
1211C24—28no—
1212C24—44no—
1213C24—44no—
1214C24—44no—
1215C24—44no—
1216C24—44no—
1217C24—44no—
1218C24C2514yes—
1219C24C2514yes—
1220C24C2512yes—
1221C24C2511yescharacteristic
1222C24C2511yescharacteristic
1223C24C2511yescharacteristic
1224#41—416no—
1225#41—832no—
1226C2×Q8—22no—
1227C2×Q8—22no—
1228C2×Q8—22no—
1229C2×Q8—22no—
1230C2×Q8—22no—
1231C2×Q8—41no—
1232C2×Q8—44no—
1233C2×Q8—44no—
1234C2×Q8—44no—
1235C2×D4—22no—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—24no—
1239C2×D4—22no—
1240C2×D4—24no—
1241C2×D4—28no—
1242C2×D4—28no—
1243C2×D4—22no—
1244C2×D4—22no—
1245C2×D4—28no—
1246C2×D4—28no—
1247C2×D4—24no—
1248C2×D4—24no—
1249C2×D4—24no—
1250C2×D4—24no—
1251C2×D4—24no—
1252C2×D4—24no—
1253C2×D4—28no—
1254C2×D4—24no—
1255C2×D4—24no—
1256C2×D4—22no—
1257C2×D4—24no—
1258C2×D4—24no—
1259C2×D4—22no—
1260C2×D4—24no—
1261C2×D4—24no—
1262C2×D4—24no—
1263C2×D4—24no—
1264C2×D4—22no—
1265C2×D4—44no—
1266C2×D4—42no—
1267C2×D4—44no—
1268C2×D4—44no—
1269C2×D4—44no—
1270C2×D4—41no—
1271C2×D4—41no—
1272C2×D4—41no—
1273C2×D4—42no—
1274C2×D4—432no—
1275C2×D4—42no—
1276C2×D4—44no—
1277C2×D4—44no—
1278C2×D4—44no—
1279C2×D4—42no—
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—42no—
1289C2×D4—44no—
1290C2×D4—42no—
1291C2×D4—44no—
1292C2×D4—42no—
1293C2×D4—42no—
1294C2×D4—42no—
1295C2×D4—42no—
1296C2×D4—44no—
1297C2×D4—44no—
1298C2×D4—44no—
1299C2×D4—44no—
1300C2×D4—44no—
1301C2×D4—44no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C2×D4—44no—
1305C2×D4—44no—
1306C2×D4—44no—
1307C2×D4—44no—
1308C2×D4—816no—
1309C2×D4—816no—
1310C22×C4—22no—
1311C22×C4—22no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—24no—
1317C22×C4—24no—
1318C22×C4—22no—
1319C22×C4—22no—
1320C22×C4—22no—
1321C22×C4—24no—
1322C22×C4—22no—
1323C22×C4—24no—
1324C22×C4—24no—
1325C22×C4—22no—
1326C22×C4—22no—
1327C22×C4—22no—
1328C22×C4—24no—
1329C22×C4—22no—
1330C22×C4—22no—
1331C22×C4—22no—
1332C22×C4—22no—
1333C22×C4—28no—
1334C22×C4—28no—
1335C22×C4—28no—
1336C22×C4—41no—
1337C22×C4—41no—
1338C22×C4—42no—
1339C22×C4—42no—
1340C22×C4—44no—
1341C22×C4—44no—
1342C22×C4—44no—
1343C22×C4—44no—
1344C22×C4—44no—
1345C22×C4—44no—
1346C22×C4—41no—
1347C22×C4—41no—
1348C22×C4—41no—
1349C22×C4—41no—
1350C22×C4—42no—
1351C22×C4—44no—
1352C22×C4—44no—
1353C22×C4—44no—
1354C22×C4—44no—
1355C22×C4—44no—
1356C22×C4—44no—
1357C22×C4C2×#4114yes—
1358C22×C4C2×#4114yes—
1359C22×C4C2×#4114yes—
1360C22×C4H(5,𝔽2)14yes—
1361C22×C4C2512yes—
1362C22×C4C2512yes—
1363C22×C4C2511yescharacteristic
1364C22×C4C2512yes—
1365C22×C4C2512yes—
1366C22×C4C2512yes—
1367C22×C4C2512yes—
1368C22×C4C2512yes—
1369C22×C4C2511yescharacteristic
1370C22×C4C2511yescharacteristic
1371C22×C4C2512yes—
1372C22×C4C2512yes—
1373C22×C4C2512yes—
1374C22×C4C2514yes—
1375C22×C4C2511yescharacteristic
1376C22×C4C2511yescharacteristic
1377C22×C4C2512yes—
1378C22×C4C2514yes—
1379C22×C4C2512yes—
1380C22×C4C2512yes—
1381C22×C4C2512yes—
1382C22×C4C2511yescharacteristic
1383C22×C4C2511yescharacteristic
1384C22×C4C2511yescharacteristic
1385C22×C4C2511yescharacteristic
1386C22×C4C2512yes—
1387C22×C4C2511yescharacteristic
1388C22×C4C2511yescharacteristic
1389C22×C4C2511yescharacteristic
1390C4⋊C4—22no—
1391C4⋊C4—22no—
1392C4⋊C4—22no—
1393C4⋊C4—22no—
1394C4⋊C4—22no—
1395C4⋊C4—22no—
1396C4⋊C4—24no—
1397C4⋊C4—24no—
1398C4⋊C4—22no—
1399C4⋊C4—24no—
1400C4⋊C4—22no—
1401C4⋊C4—24no—
1402C4⋊C4—24no—
1403C4⋊C4—22no—
1404C4⋊C4—24no—
1405C4⋊C4—28no—
1406C4⋊C4—22no—
1407C4⋊C4—22no—
1408C4⋊C4—24no—
1409C4⋊C4—24no—
1410C4⋊C4—24no—
1411C4⋊C4—22no—
1412C4⋊C4—22no—
1413C4⋊C4—22no—
1414C4⋊C4—22no—
1415C4⋊C4—22no—
1416C4⋊C4—22no—
1417C4⋊C4—24no—
1418C4⋊C4—22no—
1419C4⋊C4—22no—
1420C4⋊C4—42no—
1421C4⋊C4—42no—
1422C4⋊C4—42no—
1423C4⋊C4—42no—
1424C4⋊C4—42no—
1425C4⋊C4—44no—
1426C4⋊C4—44no—
1427C4⋊C4—42no—
1428C4⋊C4—44no—
1429C4⋊C4—44no—
1430C4⋊C4—42no—
1431C4⋊C4—42no—
1432C4⋊C4—42no—
1433C4⋊C4—44no—
1434C4⋊C4—44no—
1435C4⋊C4—44no—
1436C4⋊C4—42no—
1437C4⋊C4—42no—
1438C4⋊C4—44no—
1439C4⋊C4—42no—
1440C4⋊C4—44no—
1441C4⋊C4—42no—
1442C4⋊C4—44no—
1443C4⋊C4—44no—
1444C4⋊C4—42no—
1445C4⋊C4—42no—
1446C4⋊C4—42no—
1447C4⋊C4H(5,𝔽2)14yes—
1448C22⋊C4—22no—
1449C22⋊C4—22no—
1450C22⋊C4—24no—
1451C22⋊C4—24no—
1452C22⋊C4—22no—
1453C22⋊C4—22no—
1454C22⋊C4—22no—
1455C22⋊C4—22no—
1456C22⋊C4—24no—
1457C22⋊C4—24no—
1458C22⋊C4—24no—
1459C22⋊C4—24no—
1460C22⋊C4—24no—
1461C22⋊C4—28no—
1462C22⋊C4—28no—
1463C22⋊C4—24no—
1464C22⋊C4—28no—
1465C22⋊C4—24no—
1466C22⋊C4—28no—
1467C22⋊C4—42no—
1468C22⋊C4—42no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—42no—
1472C22⋊C4—42no—
1473C22⋊C4—42no—
1474C22⋊C4—44no—
1475C22⋊C4—42no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—44no—
1479C22⋊C4—44no—
1480C22⋊C4—42no—
1481C22⋊C4—44no—
1482C22⋊C4—44no—
1483C22⋊C4—44no—
1484C22⋊C4—42no—
1485C22⋊C4—42no—
1486C22⋊C4—42no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—42no—
1490C22⋊C4—44no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4—44no—
1494C22⋊C4—44no—
1495C22⋊C4—44no—
1496C22⋊C4—44no—
1497C22⋊C4—42no—
1498C22⋊C4—42no—
1499C22⋊C4—44no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—44no—
1506C22⋊C4—44no—
1507C22⋊C4—42no—
1508C22⋊C4—44no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4—42no—
1512C22⋊C4—44no—
1513C22⋊C4—44no—
1514C22⋊C4—44no—
1515C22⋊C4—44no—
1516C22⋊C4—42no—
1517C22⋊C4—42no—
1518C22⋊C4—42no—
1519C22⋊C4—44no—
1520C22⋊C4—44no—
1521C22⋊C4—42no—
1522C22⋊C4—42no—
1523C42—22no—
1524C42—22no—
1525C42—22no—
1526C42—22no—
1527C42—22no—
1528C42—22no—
1529C42—24no—
1530C42—24no—
1531C42—24no—
1532C42—24no—
1533C42—24no—
1534C42—24no—
1535C42—24no—
1536C42—24no—
1537C42—24no—
1538C42—24no—
1539C42—24no—
1540C42—42no—
1541C42—44no—
1542C42—42no—
1543C42—44no—
1544C42—44no—
1545C42—42no—
1546C42—42no—
1547C42—42no—
1548C42—44no—
1549C42—42no—
1550C42C2×#4114yes—
1551C42C2×#4114yes—
1552C42C2×#4114yes—
1553C42C2×#4114yes—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—22no—
1567C23—21no—
1568C23—24no—
1569C23—24no—
1570C23—21no—
1571C23—24no—
1572C23—24no—
1573C23—24no—
1574C23—22no—
1575C23—24no—
1576C23—22no—
1577C23—21no—
1578C23—24no—
1579C23—21no—
1580C23—22no—
1581C23—21no—
1582C23—24no—
1583C23—24no—
1584C23—24no—
1585C23—22no—
1586C23—21no—
1587C23—24no—
1588C23—24no—
1589C23—24no—
1590C23—24no—
1591C23—22no—
1592C23—21no—
1593C23—22no—
1594C23—416no—
1595C23—88no—
1596C23—88no—
1597C23—164no—
1598C23—164no—
1599C23—164no—
1600C23—164no—
1601C23C22×#4112yes—
1602C23C2×H(5,𝔽2)12yes—
1603C23C2611yescharacteristic
1604Q8—44no—
1605Q8—44no—
1606Q8—88no—
1607D4—44no—
1608D4—44no—
1609D4—416no—
1610D4—416no—
1611D4—44no—
1612D4—48no—
1613D4—48no—
1614D4—48no—
1615D4—44no—
1616D4—48no—
1617D4—48no—
1618D4—88no—
1619D4—84no—
1620D4—84no—
1621D4—84no—
1622D4—88no—
1623D4—88no—
1624D4—84no—
1625D4—88no—
1626D4—88no—
1627D4—88no—
1628D4—88no—
1629D4—164no—
1630D4—164no—
1631C2×C4—21no—
1632C2×C4—22no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—22no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—28no—
1644C2×C4—28no—
1645C2×C4—28no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—21no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—24no—
1666C2×C4—24no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—22no—
1672C2×C4—24no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—21no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—24no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—21no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—21no—
1690C2×C4—22no—
1691C2×C4—21no—
1692C2×C4—22no—
1693C2×C4—21no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—24no—
1699C2×C4—21no—
1700C2×C4—22no—
1701C2×C4—21no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—24no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—44no—
1710C2×C4—48no—
1711C2×C4—44no—
1712C2×C4—44no—
1713C2×C4—48no—
1714C2×C4—44no—
1715C2×C4—82no—
1716C2×C4—82no—
1717C2×C4—88no—
1718C2×C4—88no—
1719C2×C4—88no—
1720C2×C4—84no—
1721C2×C4—164no—
1722C2×C4—164no—
1723C2×C4C22×#4112yes—
1724C2×C4C22×#4112yes—
1725C2×C4C22×#4112yes—
1726C2×C4C22×#4112yes—
1727C2×C4C22×#4112yes—
1728C2×C4C22×#4112yes—
1729C2×C4C2×H(5,𝔽2)12yes—
1730C2×C4C2×H(5,𝔽2)14yes—
1731C2×C4C2×H(5,𝔽2)12yes—
1732C2×C4C2×H(5,𝔽2)12yes—
1733C2×C4#58512yes—
1734C2×C4#58512yes—
1735C22—22no—
1736C22—22no—
1737C22—22no—
1738C22—22no—
1739C22—22no—
1740C22—22no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—44no—
1751C22—44no—
1752C22—42no—
1753C22—41no—
1754C22—44no—
1755C22—44no—
1756C22—42no—
1757C22—42no—
1758C22—44no—
1759C22—44no—
1760C22—41no—
1761C22—44no—
1762C22—44no—
1763C22—42no—
1764C22—41no—
1765C22—42no—
1766C22—41no—
1767C22—44no—
1768C22—44no—
1769C22—42no—
1770C22—44no—
1771C22—44no—
1772C22—41no—
1773C22—42no—
1774C22—44no—
1775C22—41no—
1776C22—44no—
1777C22—1616no—
1778C22C23×#4111yescharacteristic
1779C22C22×H(5,𝔽2)11yescharacteristic
1780C22C22×H(5,𝔽2)11yescharacteristic
1781C22C2×#58511yescharacteristic
1782C22C2×#58511yescharacteristic
1783C22H(7,𝔽2)11yescharacteristic
1784C22H(7,𝔽2)11yescharacteristic
1785C4—22no—
1786C4—22no—
1787C4—22no—
1788C4—22no—
1789C4—24no—
1790C4—22no—
1791C4—41no—
1792C4—42no—
1793C4—41no—
1794C4—41no—
1795C4—42no—
1796C4—42no—
1797C4—42no—
1798C4—42no—
1799C4—44no—
1800C4—42no—
1801C4—42no—
1802C4—42no—
1803C4—42no—
1804C4—41no—
1805C4—41no—
1806C4—42no—
1807C4—42no—
1808C4—42no—
1809C4—44no—
1810C4—42no—
1811C4—42no—
1812C4#346014yes—
1813C4#349414yes—
1814C2—42no—
1815C2—42no—
1816C2—81no—
1817C2—82no—
1818C2—84no—
1819C2—84no—
1820C2C2×#346011yescharacteristic
1821C2C2×#349411yescharacteristic
1822C2#6285511yescharacteristic
1823C2#6291211yescharacteristic
1824C2#6292311yescharacteristic
1825C2#6295511yescharacteristic
1826C2#6296911yescharacteristic
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. #42975C2semidirect
2. #42974C2semidirect
3. #42468C2semidirect
4. #42467C2semidirect
5. #42066C2semidirect
6. #42065C2semidirect
7. #40937C2semidirect
8. #40922C2semidirect
9. #39736C2semidirect
10. #39735C2semidirect
11. #39070C2semidirect
12. #39066C2semidirect
13. #38942C2semidirect
14. #38941C2semidirect
15. #37786C2semidirect
16. #37782C2semidirect
17. #37624C2semidirect
18. #37614C2semidirect
19. #37591C2semidirect
20. #37587C2semidirect
21. #36472C2semidirect
22. #36460C2semidirect
23. #36126C2semidirect
24. #36117C2semidirect
25. #35823C2semidirect
26. #35785C2semidirect
27. #35768C2semidirect
28. #35730C2semidirect
29. #35287C2semidirect
30. #35272C2semidirect
31. #34624C2semidirect
32. #34614C2semidirect
33. #34242C2semidirect
34. #34210C2semidirect
35. #34121C2semidirect
36. C2×#553C22semidirect
37. C2×#547C22semidirect
39. C2×#532C22semidirect
42. C2×#529C22semidirect
45. #2860C22semidirect
46. #2860C22semidirect
51. #2854C22semidirect
52. #2854C22semidirect
54. #2830C22semidirect
55. #2829C22semidirect
56. #2829C22semidirect
57. #2828C22semidirect
59. #2761C22semidirect
60. #2756C22semidirect
61. #2753C22semidirect
62. #2752C22semidirect
63. #2751C22semidirect
64. #2740C22semidirect
65. #2737C22semidirect
68. #2715C22semidirect
69. #2712C22semidirect
70. #2709C22semidirect
71. #2705C22semidirect
72. #2703C22semidirect
73. #2699C22semidirect
75. #2691C22semidirect
76. #2686C22semidirect
81. #2673C22semidirect
83. #2666C22semidirect
84. #2662C22semidirect
85. #2662C22semidirect
86. #2662C22semidirect
87. #2661C22semidirect
88. #2661C22semidirect
89. #2661C22semidirect
90. #2660C22semidirect
92. #2651C22semidirect
93. #2648C22semidirect
94. #2647C22semidirect
96. #2641C22semidirect
97. #2640C22semidirect
98. #2638C22semidirect
99. #2637C22semidirect
100. #2636C22semidirect
101. #2635C22semidirect
104. #2630C22semidirect
105. #2630C22semidirect
107. #2629C22semidirect
108. #2629C22semidirect
112. #2620C22semidirect
113. #2620C22semidirect
114. #2620C22semidirect
119. #2619C22semidirect
123. #2603C22semidirect
124. #2602C22semidirect
125. #2595C22semidirect
126. #2593C22semidirect
127. #2593C22semidirect
128. #2571C22semidirect
129. #2570C22semidirect
130. #2566C22semidirect
131. #2563C22semidirect
133. #2560C22semidirect
134. #2559C22semidirect
135. #2554C22semidirect
136. #2554C22semidirect
137. #2552C22semidirect
138. #2552C22semidirect
139. #2551C22semidirect
140. #2550C22semidirect
149. #2537C22semidirect
150. #2535C22semidirect
152. #2526C22semidirect
153. #2513C22semidirect
154. #2513C22semidirect
155. #2512C22semidirect
156. #2512C22semidirect
157. #2512C22semidirect
158. #2512C22semidirect
159. #2501C22semidirect
160. #2500C22semidirect
161. #2500C22semidirect
162. #2500C22semidirect
163. #2491C22semidirect
164. #2491C22semidirect
165. #2491C22semidirect
166. #2490C22semidirect
167. #2490C22semidirect
168. #2490C22semidirect
170. #2479C22semidirect
171. #2474C22semidirect
172. #2468C22semidirect
173. #2468C22semidirect
174. #2468C22semidirect
175. #2467C22semidirect
176. #2464C22semidirect
177. #2464C22semidirect
178. #2461C22semidirect
179. #2461C22semidirect
180. #2459C22semidirect
181. #2457C22semidirect
182. #2457C22semidirect
183. #2457C22semidirect
184. #2454C22semidirect
185. #2452C22semidirect
186. #2448C22semidirect
187. #2447C22semidirect
188. #2445C22semidirect
189. #2445C22semidirect
190. #2445C22semidirect
195. #2431C22semidirect
196. #2430C22semidirect
197. #2428C22semidirect
198. #2428C22semidirect
199. #2427C22semidirect
200. #2426C22semidirect
201. #2425C22semidirect
203. #2422C22semidirect
204. #2422C22semidirect
205. #2420C22semidirect
206. #2420C22semidirect
207. #2420C22semidirect
208. #2420C22semidirect
211. #2416C22semidirect
212. #2414C22semidirect
213. #2414C22semidirect
214. #2414C22semidirect
223. #2396C22semidirect
226. #2392C22semidirect
227. #2392C22semidirect
228. #2392C22semidirect
229. #2388C22semidirect
230. #2388C22semidirect
231. #2373C22semidirect
239. #2363C22semidirect
241. #2361C22semidirect
242. #2361C22semidirect
243. #2361C22semidirect
245. #2357C22semidirect
246. #2356C22semidirect
247. #2355C22semidirect
248. #2355C22semidirect
249. #2355C22semidirect
253. #2354C22semidirect
254. #2354C22semidirect
256. #2353C22semidirect
260. #2352C22semidirect
261. #2352C22semidirect
262. Q8×C4⋊C4C22semidirect
263. D4×C4⋊C4C22semidirect
269. #2324C22semidirect
270. #2324C22semidirect
271. #2319C22semidirect
272. #2319C22semidirect
273. #2314C22semidirect
278. C4×#127C22semidirect
279. C4×#125C22semidirect
280. C4×#124C22semidirect
281. C4×#124C22semidirect
282. C4×C22⋊Q8C22semidirect
283. C4×C22⋊Q8C22semidirect
284. C4×#121C22semidirect
285. C4×#121C22semidirect
287. #2298C22semidirect
291. #2285C22semidirect
293. #2283C22semidirect
294. #2274C22semidirect
296. C4×#117C22semidirect
297. C4×#117C22semidirect
298. C2×C4×C4⋊C4C22semidirect
1125. C2×C42#41semidirect

Maximal subgroups

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

subgroupindex
#429752
#429742
#424682
#424672
#420662
#420652
#409372
#409222
#397362
#397352
#390702
#390662
#389422
#389412
#377862
#377822
#376242
#376142
#375912
#375872
#364722
#364602
#361262
#361172
#358232
#357852
#357682
#357302
#352872
#352722
#346242
#346142
#342422
#342102
#341212