Finite Group Databasebeta

← #7969221

Subgroups — #7969221

Order 512.

5189 conjugacy classes of subgroups.

The subgroup lattice has 1779 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59921C212yesmaximal, complemented
2#59421C211yesmaximal, characteristic, complemented
3#59304C211yesmaximal, characteristic, complemented
4#59242C211yesmaximal, characteristic, complemented
5#59027C212yesmaximal, complemented
6#51633C214yesmaximal, complemented
7#48354C214yesmaximal, complemented
8#45687C212yesmaximal, complemented
9#45625C212yesmaximal, complemented
10#45010C212yesmaximal, complemented
11#45006C212yesmaximal, complemented
12#44396C214yesmaximal, complemented
13#42957C212yesmaximal, complemented
14#42775C212yesmaximal, complemented
15#41344C214yesmaximal, complemented
16#40172C212yesmaximal, complemented
17#40100C212yesmaximal, complemented
18#39887C212yesmaximal, complemented
19#39596C211yesmaximal, characteristic, complemented
20#39044C212yesmaximal, complemented
21#38977C211yesmaximal, characteristic, complemented
22#38930C212yesmaximal, complemented
23#36504C211yesmaximal, characteristic, complemented
24#36405C211yesmaximal, characteristic, complemented
25#36204C212yesmaximal, complemented
26#36181C211yesmaximal, characteristic, complemented
27#36174C211yesmaximal, characteristic, complemented
28D4×C22⋊Q8C211yesmaximal, characteristic, complemented
29#35280C211yesmaximal, characteristic, complemented
30#35176C211yesmaximal, characteristic, complemented
31#35085C212yesmaximal, complemented
32#34935C211yesmaximal, characteristic, complemented
33#34720C211yesmaximal, characteristic, complemented
34#34466C212yesmaximal, complemented
35C4×#546C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic, complemented
37C2×#553C2212yes—
38C2×#552C2212yes—
39C2×D4×Q8C2211yescharacteristic
40C2×#546C2211yescharacteristic
41C2×#533C2211yescharacteristic, complemented
42C2×#525C2212yes—
43C22×C22⋊Q8C2212yes—
44C2×C4×#41C2211yescharacteristic
45C2×C4×#41C2211yescharacteristic
46C22×C4×D4C2211yescharacteristic
47#2859C2211yescharacteristic, complemented
48#2857C2211yescharacteristic
49#2857C2212yescomplemented
50#2857C2212yescomplemented
51#2857C2212yescomplemented
52#2857C2211yescharacteristic, complemented
53#2855C2212yescomplemented
54#2855C2212yescomplemented
55#2850C2212yescomplemented
56#2850C2212yescomplemented
57#2848C2212yes—
58#2838C2214yescomplemented
59#2836C2214yescomplemented
60#2787C2214yes—
61#2787C2214yescomplemented
62#2784C2214yescomplemented
63#2774C2214yescomplemented
64#2765C2214yescomplemented
65#2760C2214yescomplemented
66#2754C2214yescomplemented
67#2749C2214yes—
68#2746C2214yescomplemented
69#2745C2214yescomplemented
70#2743C2214yes—
71#2743C2214yescomplemented
72#2743C2214yescomplemented
73#2739C2214yescomplemented
74#2738C2214yescomplemented
75#2738C2214yescomplemented
76#2737C2214yescomplemented
77#2732C2214yescomplemented
78#2720C2214yescomplemented
79#2718C2214yes—
80#2718C2214yescomplemented
81#2706C2214yes—
82#2706C2214yes—
83#2702C2214yescomplemented
84#2698C2214yes—
85#2696C2214yes—
86#2695C2214yes—
87#2692C2214yescomplemented
88#2688C2214yes—
89#2687C2214yes—
90#2687C2214yescomplemented
91#2685C2214yes—
92#2678C2214yes—
93#2667C2214yescomplemented
94#2666C2214yescomplemented
95#2663C2214yes—
96#2663C2214yes—
97#2647C2214yescomplemented
98#2645C2212yescomplemented
99#2633C2214yescomplemented
100#2629C2214yescomplemented
101#2628C2212yescomplemented
102#2598C2214yescomplemented
103#2582C2212yescomplemented
104#2582C2211yescharacteristic, complemented
105#2582C2211yescharacteristic, complemented
106#2580C2212yes—
107#2578C2214yes—
108#2574C2214yescomplemented
109#2573C2214yes—
110#2571C2212yescomplemented
111#2567C2212yescomplemented
112#2566C2214yescomplemented
113#2565C2212yescomplemented
114#2564C2214yescomplemented
115#2564C2214yescomplemented
116#2561C2214yes—
117#2560C2214yescomplemented
118#2556C2214yescomplemented
119#2552C2211yescharacteristic, complemented
120#2546C2211yescharacteristic, complemented
121#2542C2211yescharacteristic
122#2542C2212yescomplemented
123#2540C2212yescomplemented
124#2538C2212yes—
125#2538C2211yescharacteristic
126#2538C2211yescharacteristic
127#2538C2211yescharacteristic
128#2537C2211yescharacteristic
129#2537C2211yescharacteristic
130#2536C2212yes—
131#2536C2212yescomplemented
132#2535C2212yes—
133#2534C2214yes—
134#2527C2214yes—
135#2526C2214yescomplemented
136#2524C2214yescomplemented
137#2523C2214yescomplemented
138#2522C2214yescomplemented
139#2518C2214yescomplemented
140#2514C2212yescomplemented
141#2514C2212yescomplemented
142#2508C2212yescomplemented
143#2507C2212yescomplemented
144#2506C2212yescomplemented
145#2506C2212yescomplemented
146#2503C2212yescomplemented
147#2503C2212yescomplemented
148#2501C2212yescomplemented
149#2499C2212yes—
150#2499C2212yes—
151#2497C2214yescomplemented
152#2496C2212yes—
153#2496C2212yes—
154#2496C2212yescomplemented
155#2495C2212yes—
156#2495C2212yescomplemented
157#2494C2212yescomplemented
158#2493C2214yescomplemented
159#2492C2212yescomplemented
160#2492C2212yescomplemented
161#2490C2212yescomplemented
162#2489C2212yes—
163#2489C2212yescomplemented
164#2489C2212yescomplemented
165#2487C2212yescomplemented
166#2486C2212yes—
167#2486C2212yes—
168#2486C2212yes—
169#2485C2212yes—
170#2480C2214yes—
171#2480C2214yes—
172#2479C2214yescomplemented
173#2478C2214yescomplemented
174#2477C2212yescomplemented
175#2477C2214yescomplemented
176#2475C2212yescomplemented
177#2473C2214yescomplemented
178#2468C2214yes—
179#2467C2214yescomplemented
180#2463C2212yes—
181#2460C2212yes—
182#2454C2212yes—
183#2452C2212yes—
184#2452C2211yescharacteristic, complemented
185#2449C2214yes—
186#2447C2212yes—
187#2447C2212yescomplemented
188#2446C2211yescharacteristic, complemented
189#2443C2214yescomplemented
190#2442C2212yescomplemented
191#2441C2212yescomplemented
192#2440C2212yes—
193#2439C2211yescharacteristic
194#2439C2212yescomplemented
195#2437C2214yes—
196#2436C2212yescomplemented
197#2434C2212yescomplemented
198#2432C2211yescharacteristic
199#2432C2212yes—
200#2429C2212yescomplemented
201#2427C2212yes—
202#2427C2211yescharacteristic, complemented
203#2426C2212yescomplemented
204#2423C2212yescomplemented
205#2423C2212yescomplemented
206#2422C2212yes—
207#2421C2211yescharacteristic, complemented
208#2421C2212yescomplemented
209#2420C2214yes—
210#2420C2212yes—
211#2418C2214yes—
212#2417C2212yes—
213#2417C2212yescomplemented
214#2417C2214yescomplemented
215#2417C2212yescomplemented
216#2416C2212yescomplemented
217#2415C2212yes—
218#2415C2211yescharacteristic
219#2412C2214yes—
220#2412C2214yes—
221#2409C2212yes—
222#2409C2212yescomplemented
223#2408C2212yes—
224#2407C2212yes—
225#2407C2211yescharacteristic
226#2398C2212yes—
227#2392C2214yes—
228#2392C2212yes—
229#2377C2214yescomplemented
230#2376C2214yescomplemented
231#2373C2214yescomplemented
232#2370C2212yescomplemented
233#2368C2214yescomplemented
234#2367C2211yescharacteristic
235#2365C2212yescomplemented
236#2364C2212yes—
237#2363C2212yes—
238#2363C2212yes—
239#2363C2212yes—
240#2363C2211yescharacteristic
241#2362C2212yes—
242#2360C2211yescharacteristic
243#2359C2212yes—
244#2358C2212yes—
245#2355C2211yescharacteristic, complemented
246#2355C2211yescharacteristic, complemented
247#2354C2211yescharacteristic, complemented
248#2354C2212yescomplemented
249#2352C2211yescharacteristic
250#2352C2214yescomplemented
251#2349C2211yescharacteristic
252D4×C4⋊C4C2211yescharacteristic
253D4×C4⋊C4C2212yes—
254D4×C4⋊C4C2212yescomplemented
255#2347C2212yes—
256#2346C2212yescomplemented
257#2344C2212yescomplemented
258#2344C2212yescomplemented
259#2342C2212yes—
260Q8×C22⋊C4C2212yescomplemented
261#2339C2211yescharacteristic
262D4×C22⋊C4C2211yescharacteristic
263D4×C22⋊C4C2212yes—
264#2334C2214yescomplemented
265#2330C2212yescomplemented
266#2324C2212yes—
267#2324C2214yescomplemented
268#2322C2214yescomplemented
269#2322C2214yescomplemented
270#2319C2212yes—
271#2319C2212yes—
272#2319C2214yescomplemented
273#2316C2212yescomplemented
274#2311C2212yes—
275C4×C4⋊Q8C2211yescharacteristic, complemented
276C4×#124C2211yescharacteristic
277C4×#124C2211yescharacteristic, complemented
278C4×C22⋊Q8C2211yescharacteristic
279C4×C22⋊Q8C2211yescharacteristic
280C4×C22⋊Q8C2212yescomplemented
281C4×C22⋊Q8C2212yescomplemented
282C4×#123C2212yes—
283C4×#121C2212yes—
284C4×#121C2212yes—
285C4×#121C2211yescharacteristic
286C4×#121C2212yes—
287C4×#121C2211yescharacteristic, complemented
288C4×#120C2212yes—
289#2296C2212yescomplemented
290#2295C2211yescharacteristic, complemented
291#2290C2212yescomplemented
292#2285C2211yescharacteristic
293C2×#384C2211yescharacteristic, complemented
294#2283C2212yescomplemented
295#2280C2212yes—
296C42×D4C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C2×C4×C22⋊C4C2212yes—
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C23×Q8C2312yes—
302C23×D4C2311yescharacteristic
303C24×C4C2312yes—
304#556—44no—
305#553—216no—
306#552—48no—
307D4×Q8—44no—
308#546—28no—
309#533—44no—
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2312yes—
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#126C2314yes—
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2314yes—
321C2×#125C2312yes—
322C2×#124C2311yescharacteristic
323C2×#124C2311yescharacteristic
324C2×#124C2312yes—
325#525—48no—
326C2×#123C2314yes—
327C2×#123C2312yes—
328C2×#123C2314yes—
329C2×#123C2314yes—
330C2×#123C2314yes—
331C2×C22⋊Q8—48no—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2311yescharacteristic
334C2×C22⋊Q8C2311yescharacteristic
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2311yescharacteristic
346C2×C22⋊Q8C2314yes—
347C2×C22⋊Q8C2311yescharacteristic
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×#121C2314yes—
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2311yescharacteristic
357C2×#121C2312yes—
358C2×#121C2311yescharacteristic
359C2×#120C2312yes—
360C2×#120C2314yes—
361C4×#41—44no—
362C4×#41—44no—
363C2×C4×Q8C2311yescharacteristic
364C2×C4×Q8C2311yescharacteristic
365C2×C4×Q8C2311yescharacteristic
366C2×C4×Q8C2312yes—
367C2×C4×Q8C2312yes—
368C2×C4×Q8C2311yescharacteristic
369C2×C4×Q8C2312yes—
370C2×C4×Q8C2311yescharacteristic
371C2×C4×D4—44no—
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2312yes—
374C2×C4×D4C2314yes—
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2312yes—
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2314yes—
383C2×C4×D4C2314yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2311yescharacteristic
388C2×C4×D4C2312yes—
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2311yescharacteristic
396C2×C4×D4C2312yes—
397C2×#117C2312yes—
398C2×#117C2312yes—
399C2×#117C2312yes—
400C2×#117C2311yescharacteristic
401C2×#117C2314yes—
402C2×#117C2312yes—
403C2×#117C2312yes—
404C2×#117C2311yescharacteristic
405C2×#117C2312yes—
406C22×C4⋊C4C2312yes—
407C22×C4⋊C4C2314yes—
408C22×C4⋊C4C2312yes—
409C22×C4⋊C4C2312yes—
410C22×C4⋊C4C2312yes—
411C22×C4⋊C4C2311yescharacteristic
412C22×C22⋊C4C2312yes—
413C22×C22⋊C4C2312yes—
414C22×C22⋊C4C2314yes—
415C22×C22⋊C4C2312yes—
416C22×C42C2311yescharacteristic
417C22×C42C2311yescharacteristic
418C22×C42C2312yes—
419C22×C42C2312yes—
420C22×C42C2312yes—
421#401C2314yes—
422#401C2314yes—
423#400C2314yes—
424#400C2314yes—
425#400C2314yes—
426#400C2314yes—
427#400C2314yes—
428#400C2314yes—
429#400C2312yes—
430#400C2314yes—
431#400C2314yes—
432#400C2314yes—
433#400C2314yes—
434#400C2312yes—
435#400C2314yes—
436#400C2314yes—
437#400C2314yes—
438#399C2314yes—
439#399C2314yes—
440#399C2314yes—
441#399C2314yes—
442#399C2314yes—
443#399C2314yes—
444#399C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2312yes—
458#398C2314yes—
459#398C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2312yes—
469#397C2314yes—
470#397C2314yes—
471#397C2312yes—
472#397C2312yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2312yes—
481#396C2312yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#395C2314yes—
488#395C2314yes—
489#395C2314yes—
490#395C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2312yes—
497#394C2312yes—
498#394C2312yes—
499#394C2314yes—
500#394C2312yes—
501#394C2312yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#393C2314yes—
506#393C2312yes—
507#393C2314yes—
508#393C2314yes—
509#393C2314yes—
510#393C2314yes—
511#393C2312yes—
512#392C2314yes—
513#392C2312yes—
514#392C2314yes—
515#391C2314yes—
516#391C2312yes—
517#391C2312yes—
518#391C2312yes—
519#391C2312yes—
520#391C2312yes—
521#391C2314yes—
522#391C2314yes—
523#391C2312yes—
524#391C2312yes—
525#391C2314yes—
526#391C2312yes—
527#391C2311yescharacteristic
528#391C2311yescharacteristic
529#391C2311yescharacteristic
530#391C2312yes—
531#391C2311yescharacteristic
532#391C2312yes—
533#391C2312yes—
534#391C2311yescharacteristic
535#391C2311yescharacteristic
536#390C2314yes—
537#390C2314yes—
538#390C2314yes—
539#390C2312yes—
540#390C2312yes—
541#390C2311yescharacteristic
542#390C2312yes—
543#390C2312yes—
544#390C2312yes—
545#390C2314yes—
546#390C2314yes—
547#390C2311yescharacteristic
548#390C2311yescharacteristic
549#390C2312yes—
550#390C2311yescharacteristic
551#389C2312yes—
552#389C2312yes—
553#389C2311yescharacteristic
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2311yescharacteristic
558#389C2314yes—
559#389C2312yes—
560#389C2314yes—
561#389C2312yes—
562#389C2314yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2314yes—
570#389C2314yes—
571#389C2314yes—
572#389C2314yes—
573#389C2312yes—
574#389C2312yes—
575#389C2311yescharacteristic
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2314yes—
585#389C2311yescharacteristic
586#389C2314yes—
587#389C2311yescharacteristic
588#389C2312yes—
589#389C2311yescharacteristic
590#388C2312yes—
591#388C2312yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2312yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2312yes—
612#388C2312yes—
613#388C2312yes—
614#388C2314yes—
615#388C2312yes—
616#388C2312yes—
617#388C2314yes—
618#388C2312yes—
619#388C2312yes—
620#388C2314yes—
621#388C2314yes—
622#388C2312yes—
623#388C2312yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2312yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2312yes—
638#387C2314yes—
639#387C2314yes—
640#387C2312yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2312yes—
646#387C2312yes—
647#387C2312yes—
648#387C2312yes—
649#387C2312yes—
650#387C2314yes—
651#387C2312yes—
652#387C2312yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2312yes—
662#386C2314yes—
663#386C2314yes—
664#386C2312yes—
665#386C2312yes—
666#386C2312yes—
667#386C2314yes—
668#386C2312yes—
669#386C2312yes—
670#386C2314yes—
671#386C2312yes—
672#386C2312yes—
673#386C2314yes—
674#386C2312yes—
675#386C2312yes—
676#386C2314yes—
677#385C2312yes—
678#385C2312yes—
679#385C2314yes—
680#385C2314yes—
681#385C2312yes—
682#385C2312yes—
683#385C2314yes—
684#385C2314yes—
685#385C2312yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2312yes—
692#385C2312yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2312yes—
698#385C2312yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2312yes—
703#384C2311yescharacteristic
704#384C2312yes—
705#384C2314yes—
706#384C2312yes—
707#384C2311yescharacteristic
708#384C2312yes—
709#384C2312yes—
710#384C2311yescharacteristic
711#384C2312yes—
712#383C2314yes—
713#383C2314yes—
714#383C2314yes—
715#382C2312yes—
716#382C2314yes—
717#382C2312yes—
718#382C2314yes—
719#382C2312yes—
720#382C2314yes—
721#382C2312yes—
722#382C2311yescharacteristic
723#382C2311yescharacteristic
724#381C2314yes—
725#381C2314yes—
726#381C2314yes—
727#381C2314yes—
728#381C2314yes—
729#381C2314yes—
730#381C2312yes—
731#381C2314yes—
732#381C2314yes—
733#380C2314yes—
734#380C2314yes—
735#380C2314yes—
736#380C2314yes—
737#380C2314yes—
738#380C2314yes—
739#380C2314yes—
740#380C2314yes—
741#380C2314yes—
742#380C2312yes—
743#380C2311yescharacteristic
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2311yescharacteristic
748#380C2311yescharacteristic
749#380C2312yes—
750#380C2314yes—
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2311yescharacteristic
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2312yes—
764#379C2314yes—
765#379C2314yes—
766#379C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2314yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2314yes—
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2312yes—
816#376C2312yes—
817#376C2314yes—
818C2×#95C2312yes—
819C2×#95C2312yes—
820C43C2311yescharacteristic
821C25C2412yes—
822C2×#41—24no—
823C2×#41—24no—
824C2×#41—24no—
825C2×#41—42no—
826C2×#41—42no—
827C2×#41—42no—
828C22×Q8—44no—
829C22×Q8—44no—
830C22×Q8—44no—
831C22×Q8C2412yes—
832C22×Q8C2411yescharacteristic
833C22×Q8C2411yescharacteristic
834C22×Q8C2411yescharacteristic
835C22×Q8C2412yes—
836C22×Q8C2414yes—
837C22×D4—24no—
838C22×D4—24no—
839C22×D4—42no—
840C22×D4C2411yescharacteristic
841C22×D4C2411yescharacteristic
842C22×D4C2412yes—
843C22×D4C2412yes—
844C22×D4C2411yescharacteristic
845C22×D4C2411yescharacteristic
846C22×D4C2412yes—
847C22×D4C2414yes—
848C22×D4C2414yes—
849C22×D4C2412yes—
850C22×D4C2412yes—
851C23×C4—28no—
852C23×C4—44no—
853C23×C4—44no—
854C23×C4C2411yescharacteristic
855C23×C4C2412yes—
856C23×C4C2411yescharacteristic
857C23×C4C2412yes—
858C23×C4C2412yes—
859C23×C4C2412yes—
860C23×C4C2411yescharacteristic
861C23×C4C2411yescharacteristic
862C23×C4C2411yescharacteristic
863C23×C4C2411yescharacteristic
864C23×C4C2414yes—
865C23×C4C2412yes—
866C23×C4C2412yes—
867C23×C4C2412yes—
868C23×C4C2412yes—
869C23×C4C2414yes—
870C23×C4C2412yes—
871C23×C4C2412yes—
872C23×C4C2412yes—
873C23×C4C2414yes—
874C23×C4C2412yes—
875C4⋊Q8—24no—
876C4⋊Q8—42no—
877C4⋊Q8—44no—
878C4⋊Q8—44no—
879C4⋊Q8—42no—
880#126—216no—
881#126—48no—
882#126—48no—
883#125—28no—
884#125—44no—
885#125—48no—
886#125—44no—
887#124—24no—
888#124—42no—
889#124—44no—
890#123—28no—
891#123—216no—
892#123—48no—
893#123—48no—
894#123—48no—
895C22⋊Q8—24no—
896C22⋊Q8—28no—
897C22⋊Q8—24no—
898C22⋊Q8—48no—
899C22⋊Q8—48no—
900C22⋊Q8—44no—
901C22⋊Q8—48no—
902C22⋊Q8—44no—
903C22⋊Q8—44no—
904C22⋊Q8—44no—
905C22⋊Q8—48no—
906C22⋊Q8—44no—
907C22⋊Q8—44no—
908C22⋊Q8—44no—
909C22⋊Q8—42no—
910C22⋊Q8—42no—
911C22⋊Q8—44no—
912C22⋊Q8—44no—
913C22⋊Q8—44no—
914#121—28no—
915#121—28no—
916#121—216no—
917#121—28no—
918#121—42no—
919#121—44no—
920#121—44no—
921#121#4118yescomplemented
922#120—28no—
923#120—48no—
924C4×Q8—24no—
925C4×Q8—24no—
926C4×Q8—24no—
927C4×Q8—44no—
928C4×Q8—42no—
929C4×Q8—42no—
930C4×Q8—44no—
931C4×Q8—44no—
932C4×D4—216no—
933C4×D4—28no—
934C4×D4—24no—
935C4×D4—24no—
936C4×D4—28no—
937C4×D4—24no—
938C4×D4—24no—
939C4×D4—24no—
940C4×D4—24no—
941C4×D4—24no—
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—48no—
953C4×D4—48no—
954C4×D4—42no—
955C4×D4—44no—
956C4×D4—44no—
957#117—28no—
958#117—28no—
959#117—44no—
960#117—44no—
961#117—44no—
962#117—48no—
963#117—42no—
964#117—42no—
965#117—44no—
966C2×C4⋊C4—28no—
967C2×C4⋊C4—44no—
968C2×C4⋊C4—42no—
969C2×C4⋊C4—44no—
970C2×C4⋊C4—48no—
971C2×C4⋊C4—44no—
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2411yescharacteristic
1038C2×C22⋊C4—28no—
1039C2×C22⋊C4—44no—
1040C2×C22⋊C4—44no—
1041C2×C22⋊C4—48no—
1042C2×C22⋊C4C2411yescharacteristic
1043C2×C22⋊C4C2411yescharacteristic
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2411yescharacteristic
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2411yescharacteristic
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2411yescharacteristic
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2411yescharacteristic
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C42—24no—
1103C2×C42—24no—
1104C2×C42—44no—
1105C2×C42—44no—
1106C2×C42—44no—
1107C2×C42C2414yes—
1108C2×C42C2411yescharacteristic
1109C2×C42C2411yescharacteristic
1110C2×C42C2412yes—
1111C2×C42C2412yes—
1112C2×C42C2414yes—
1113C2×C42C2411yescharacteristic
1114C2×C42C2411yescharacteristic
1115C2×C42C2412yes—
1116C2×C42C2411yescharacteristic
1117C2×C42C2411yescharacteristic
1118C2×C42C2412yes—
1119C2×C42C2411yescharacteristic
1120C2×C42C2412yes—
1121C2×C42C2411yescharacteristic
1122C2×C42C2411yescharacteristic
1123C2×C42C2411yescharacteristic
1124C2×C42C2412yes—
1125C2×C42C2412yes—
1126C2×C42C2414yes—
1127C2×C42C2414yes—
1128C2×C42C2412yes—
1129C2×C42C2412yes—
1130C2×C42C2411yescharacteristic
1131C2×C42C2411yescharacteristic
1132C2×C42C2412yes—
1133C2×C42C2414yes—
1134C2×C42C2412yes—
1135C2×C42C2414yes—
1136C2×C42C2411yescharacteristic
1137#95C2411yescharacteristic
1138#95C2411yescharacteristic
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2411yescharacteristic
1157#95C2411yescharacteristic
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2411yescharacteristic
1162#95C2411yescharacteristic
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2412yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2414yes—
1177#95C2412yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2414yes—
1188#95C2412yes—
1189#95C2414yes—
1190#95C2412yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2412yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205C24—24no—
1206C24—24no—
1207C24—24no—
1208C24—42no—
1209C24—42no—
1210C24—42no—
1211C24—42no—
1212C24C2512yes—
1213C24C2512yes—
1214C24C2511yescharacteristic
1215C24C2511yescharacteristic
1216C24C2512yes—
1217#41—416no—
1218#41—416no—
1219C2×Q8—22no—
1220C2×Q8—22no—
1221C2×Q8—22no—
1222C2×Q8—22no—
1223C2×Q8—24no—
1224C2×Q8—24no—
1225C2×Q8—22no—
1226C2×Q8—22no—
1227C2×Q8—22no—
1228C2×Q8—24no—
1229C2×Q8—22no—
1230C2×Q8—22no—
1231C2×Q8—24no—
1232C2×Q8—42no—
1233C2×Q8—44no—
1234C2×Q8—44no—
1235C2×Q8—44no—
1236C2×Q8—42no—
1237C2×Q8—816no—
1238C2×D4—22no—
1239C2×D4—24no—
1240C2×D4—24no—
1241C2×D4—22no—
1242C2×D4—24no—
1243C2×D4—24no—
1244C2×D4—24no—
1245C2×D4—24no—
1246C2×D4—28no—
1247C2×D4—28no—
1248C2×D4—22no—
1249C2×D4—22no—
1250C2×D4—22no—
1251C2×D4—22no—
1252C2×D4—22no—
1253C2×D4—22no—
1254C2×D4—22no—
1255C2×D4—42no—
1256C2×D4—42no—
1257C2×D4—42no—
1258C2×D4—42no—
1259C2×D4—41no—
1260C2×D4—42no—
1261C2×D4—42no—
1262C2×D4—44no—
1263C2×D4—44no—
1264C2×D4—42no—
1265C2×D4—44no—
1266C2×D4—44no—
1267C2×D4—42no—
1268C2×D4—416no—
1269C2×D4C2×#4114yes—
1270C2×D4C2×#4118yes—
1271C2×D42−1+414yes—
1272C22×C4—22no—
1273C22×C4—22no—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—24no—
1277C22×C4—28no—
1278C22×C4—28no—
1279C22×C4—24no—
1280C22×C4—24no—
1281C22×C4—24no—
1282C22×C4—24no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—24no—
1288C22×C4—24no—
1289C22×C4—22no—
1290C22×C4—24no—
1291C22×C4—24no—
1292C22×C4—24no—
1293C22×C4—24no—
1294C22×C4—24no—
1295C22×C4—22no—
1296C22×C4—24no—
1297C22×C4—22no—
1298C22×C4—22no—
1299C22×C4—24no—
1300C22×C4—24no—
1301C22×C4—22no—
1302C22×C4—24no—
1303C22×C4—24no—
1304C22×C4—24no—
1305C22×C4—42no—
1306C22×C4—42no—
1307C22×C4—41no—
1308C22×C4—42no—
1309C22×C4—42no—
1310C22×C4—42no—
1311C22×C4—42no—
1312C22×C4—42no—
1313C22×C4—44no—
1314C22×C4—42no—
1315C22×C4—44no—
1316C22×C4—42no—
1317C22×C4—44no—
1318C22×C4—44no—
1319C22×C4—42no—
1320C22×C4—42no—
1321C22×C4—44no—
1322C22×C4—41no—
1323C22×C4—42no—
1324C22×C4—44no—
1325C22×C4—42no—
1326C22×C4—42no—
1327C22×C4—42no—
1328C22×C4—42no—
1329C22×C4—41no—
1330C22×C4—42no—
1331C22×C4—42no—
1332C22×C4—44no—
1333C22×C4—816no—
1334C22×C4C2×#4114yes—
1335C22×C4H(5,𝔽2)14yes—
1336C22×C4C2511yescharacteristic
1337C22×C4C2511yescharacteristic
1338C22×C4C2512yes—
1339C22×C4C2512yes—
1340C22×C4C2511yescharacteristic
1341C22×C4C2511yescharacteristic
1342C22×C4C2512yes—
1343C22×C4C2514yes—
1344C22×C4C2511yescharacteristic
1345C22×C4C2512yes—
1346C22×C4C2512yes—
1347C22×C4C2512yes—
1348C22×C4C2512yes—
1349C22×C4C2512yes—
1350C22×C4C2512yes—
1351C22×C4C2514yes—
1352C22×C4C2512yes—
1353C22×C4C2514yes—
1354C22×C4C2512yes—
1355C22×C4C2511yescharacteristic
1356C22×C4C2514yes—
1357C22×C4C2512yes—
1358C22×C4C2511yescharacteristic
1359C22×C4C2512yes—
1360C22×C4C2511yescharacteristic
1361C22×C4C2511yescharacteristic
1362C22×C4C2511yescharacteristic
1363C22×C4C2511yescharacteristic
1364C22×C4C2511yescharacteristic
1365C22×C4C2511yescharacteristic
1366C4⋊C4—24no—
1367C4⋊C4—24no—
1368C4⋊C4—28no—
1369C4⋊C4—22no—
1370C4⋊C4—28no—
1371C4⋊C4—24no—
1372C4⋊C4—24no—
1373C4⋊C4—28no—
1374C4⋊C4—22no—
1375C4⋊C4—24no—
1376C4⋊C4—24no—
1377C4⋊C4—24no—
1378C4⋊C4—22no—
1379C4⋊C4—28no—
1380C4⋊C4—22no—
1381C4⋊C4—24no—
1382C4⋊C4—22no—
1383C4⋊C4—22no—
1384C4⋊C4—24no—
1385C4⋊C4—22no—
1386C4⋊C4—24no—
1387C4⋊C4—24no—
1388C4⋊C4—22no—
1389C4⋊C4—24no—
1390C4⋊C4—22no—
1391C4⋊C4—24no—
1392C4⋊C4—22no—
1393C4⋊C4—24no—
1394C4⋊C4—28no—
1395C4⋊C4—22no—
1396C4⋊C4—22no—
1397C4⋊C4—42no—
1398C4⋊C4—42no—
1399C4⋊C4—42no—
1400C4⋊C4—44no—
1401C4⋊C4—44no—
1402C4⋊C4—44no—
1403C4⋊C4—44no—
1404C4⋊C4—42no—
1405C4⋊C4—42no—
1406C4⋊C4—42no—
1407C4⋊C4—42no—
1408C4⋊C4—42no—
1409C4⋊C4—44no—
1410C4⋊C4—42no—
1411C4⋊C4—42no—
1412C4⋊C4—42no—
1413C4⋊C4—44no—
1414C4⋊C4—44no—
1415C4⋊C4—42no—
1416C4⋊C4—42no—
1417C4⋊C4—44no—
1418C4⋊C4—42no—
1419C4⋊C4—44no—
1420C4⋊C4—44no—
1421C4⋊C4—42no—
1422C4⋊C4—42no—
1423C4⋊C4—44no—
1424C4⋊C4—44no—
1425C4⋊C4—44no—
1426C4⋊C4—44no—
1427C4⋊C4—44no—
1428C4⋊C4—44no—
1429C4⋊C4—44no—
1430C4⋊C4—44no—
1431C4⋊C4C2×#4114yes—
1432C22⋊C4—24no—
1433C22⋊C4—24no—
1434C22⋊C4—22no—
1435C22⋊C4—28no—
1436C22⋊C4—28no—
1437C22⋊C4—24no—
1438C22⋊C4—24no—
1439C22⋊C4—28no—
1440C22⋊C4—28no—
1441C22⋊C4—22no—
1442C22⋊C4—24no—
1443C22⋊C4—28no—
1444C22⋊C4—22no—
1445C22⋊C4—24no—
1446C22⋊C4—28no—
1447C22⋊C4—24no—
1448C22⋊C4—24no—
1449C22⋊C4—24no—
1450C22⋊C4—24no—
1451C22⋊C4—22no—
1452C22⋊C4—24no—
1453C22⋊C4—22no—
1454C22⋊C4—24no—
1455C22⋊C4—24no—
1456C22⋊C4—42no—
1457C22⋊C4—42no—
1458C22⋊C4—42no—
1459C22⋊C4—42no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—42no—
1463C22⋊C4—42no—
1464C22⋊C4—42no—
1465C22⋊C4—44no—
1466C22⋊C4—42no—
1467C22⋊C4—42no—
1468C22⋊C4—42no—
1469C22⋊C4—42no—
1470C22⋊C4—42no—
1471C22⋊C4—42no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—42no—
1475C22⋊C4—42no—
1476C22⋊C4—41no—
1477C22⋊C4—44no—
1478C22⋊C4—44no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C22⋊C4—42no—
1483C22⋊C4—42no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—42no—
1490C22⋊C4—42no—
1491C22⋊C4C2×#4118yes—
1492C42—28no—
1493C42—22no—
1494C42—24no—
1495C42—22no—
1496C42—22no—
1497C42—22no—
1498C42—22no—
1499C42—22no—
1500C42—22no—
1501C42—24no—
1502C42—24no—
1503C42—28no—
1504C42—24no—
1505C42—22no—
1506C42—22no—
1507C42—22no—
1508C42—24no—
1509C42—42no—
1510C42—42no—
1511C42—42no—
1512C42—42no—
1513C42—42no—
1514C42—42no—
1515C42—44no—
1516C42—41no—
1517C42—44no—
1518C42—44no—
1519C42—44no—
1520C42—41no—
1521C42H(5,𝔽2)14yes—
1522C23—21no—
1523C23—22no—
1524C23—21no—
1525C23—22no—
1526C23—22no—
1527C23—21no—
1528C23—22no—
1529C23—21no—
1530C23—22no—
1531C23—21no—
1532C23—21no—
1533C23—22no—
1534C23—21no—
1535C23—22no—
1536C23—22no—
1537C23—22no—
1538C23—21no—
1539C23—21no—
1540C23—22no—
1541C23—21no—
1542C23—22no—
1543C23—21no—
1544C23—22no—
1545C23—21no—
1546C23—22no—
1547C23—22no—
1548C23—22no—
1549C23—22no—
1550C23—22no—
1551C23—22no—
1552C23—22no—
1553C23—48no—
1554C23—48no—
1555C23—48no—
1556C23—84no—
1557C23—84no—
1558C23—84no—
1559C23—84no—
1560C23C22×#4114yes—
1561C23C22×#4112yes—
1562C23C2×H(5,𝔽2)12yes—
1563C23C2×2−1+414yes—
1564C23C2611yescharacteristic
1565Q8—44no—
1566Q8—48no—
1567Q8—44no—
1568Q8—44no—
1569Q8—84no—
1570Q8—88no—
1571D4—28no—
1572D4—28no—
1573D4—48no—
1574D4—44no—
1575D4—48no—
1576D4—48no—
1577D4—48no—
1578D4—44no—
1579D4—84no—
1580D4—88no—
1581D4—88no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—22no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—22no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—28no—
1593C2×C4—28no—
1594C2×C4—22no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—22no—
1598C2×C4—24no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—24no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—22no—
1608C2×C4—24no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—24no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—21no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—24no—
1619C2×C4—24no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—24no—
1623C2×C4—22no—
1624C2×C4—21no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—24no—
1633C2×C4—21no—
1634C2×C4—22no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—21no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—24no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—24no—
1651C2×C4—21no—
1652C2×C4—24no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—24no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—22no—
1662C2×C4—21no—
1663C2×C4—44no—
1664C2×C4—48no—
1665C2×C4—48no—
1666C2×C4—48no—
1667C2×C4—44no—
1668C2×C4—44no—
1669C2×C4—48no—
1670C2×C4—48no—
1671C2×C4—84no—
1672C2×C4—84no—
1673C2×C4—82no—
1674C2×C4—84no—
1675C2×C4—84no—
1676C2×C4—84no—
1677C2×C4—88no—
1678C2×C4—88no—
1679C2×C4—84no—
1680C2×C4—84no—
1681C2×C4—88no—
1682C2×C4C22×#4114yes—
1683C2×C4C22×#4112yes—
1684C2×C4C22×#4112yes—
1685C2×C4C2×H(5,𝔽2)12yes—
1686C2×C4C2×H(5,𝔽2)12yes—
1687C2×C4C2×H(5,𝔽2)12yes—
1688C2×C4C2×H(5,𝔽2)12yes—
1689C2×C4C2×H(5,𝔽2)12yes—
1690C2×C4C2×2−1+412yes—
1691C2×C4#58512yes—
1692C2×C4#58512yes—
1693C22—22no—
1694C22—24no—
1695C22—24no—
1696C22—22no—
1697C22—24no—
1698C22—24no—
1699C22—22no—
1700C22—24no—
1701C22—22no—
1702C22—24no—
1703C22—22no—
1704C22—22no—
1705C22—42no—
1706C22—41no—
1707C22—41no—
1708C22—42no—
1709C22—41no—
1710C22—41no—
1711C22—42no—
1712C22—41no—
1713C22—42no—
1714C22—41no—
1715C22—42no—
1716C22—41no—
1717C22—42no—
1718C22—42no—
1719C22—42no—
1720C22—41no—
1721C22—42no—
1722C22—42no—
1723C22—42no—
1724C22—42no—
1725C22—42no—
1726C22—42no—
1727C22—42no—
1728C22—816no—
1729C22C23×#4111yescharacteristic
1730C22C22×H(5,𝔽2)11yescharacteristic
1731C22C22×H(5,𝔽2)11yescharacteristic
1732C22C22×2−1+411yescharacteristic
1733C22C2×#58511yescharacteristic
1734C22C2×#58511yescharacteristic
1735C222−1+611yescharacteristic
1736C4—24no—
1737C4—22no—
1738C4—22no—
1739C4—22no—
1740C4—22no—
1741C4—41no—
1742C4—42no—
1743C4—42no—
1744C4—41no—
1745C4—42no—
1746C4—41no—
1747C4—42no—
1748C4—42no—
1749C4—44no—
1750C4—44no—
1751C4—41no—
1752C4—42no—
1753C4—41no—
1754C4—42no—
1755C4—42no—
1756C4—41no—
1757C4—44no—
1758C4—41no—
1759C4—42no—
1760C4—42no—
1761C4—42no—
1762C4—42no—
1763C4—44no—
1764C4#352014yes—
1765C4#354214yes—
1766C2—42no—
1767C2—44no—
1768C2—44no—
1769C2—42no—
1770C2—82no—
1771C2C2×#354211yescharacteristic
1772C2C2×#352011yescharacteristic
1773C2#6280011yescharacteristic
1774C2#6292711yescharacteristic
1775C2#6294211yescharacteristic
1776C2#6299111yescharacteristic
1777C2#6302511yescharacteristic
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. #59921C2semidirect
2. #59421C2semidirect
3. #59304C2semidirect
4. #59242C2semidirect
5. #59027C2semidirect
6. #51633C2semidirect
7. #48354C2semidirect
8. #45687C2semidirect
9. #45625C2semidirect
10. #45010C2semidirect
11. #45006C2semidirect
12. #44396C2semidirect
13. #42957C2semidirect
14. #42775C2semidirect
15. #41344C2semidirect
16. #40172C2semidirect
17. #40100C2semidirect
18. #39887C2semidirect
19. #39596C2semidirect
20. #39044C2semidirect
21. #38977C2semidirect
22. #38930C2semidirect
23. #36504C2semidirect
24. #36405C2semidirect
25. #36204C2semidirect
26. #36181C2semidirect
27. #36174C2semidirect
28. D4×C22⋊Q8C2semidirect
29. #35280C2semidirect
30. #35176C2semidirect
31. #35085C2semidirect
32. #34935C2semidirect
33. #34720C2semidirect
34. #34466C2semidirect
35. C4×#546C2semidirect
36. C2×#556C22semidirect
41. C2×#533C22semidirect
47. #2859C22semidirect
49. #2857C22semidirect
50. #2857C22semidirect
51. #2857C22semidirect
52. #2857C22semidirect
53. #2855C22semidirect
54. #2855C22semidirect
55. #2850C22semidirect
56. #2850C22semidirect
58. #2838C22semidirect
59. #2836C22semidirect
61. #2787C22semidirect
62. #2784C22semidirect
63. #2774C22semidirect
64. #2765C22semidirect
65. #2760C22semidirect
66. #2754C22semidirect
68. #2746C22semidirect
69. #2745C22semidirect
71. #2743C22semidirect
72. #2743C22semidirect
73. #2739C22semidirect
74. #2738C22semidirect
75. #2738C22semidirect
76. #2737C22semidirect
77. #2732C22semidirect
78. #2720C22semidirect
80. #2718C22semidirect
83. #2702C22semidirect
87. #2692C22semidirect
90. #2687C22semidirect
93. #2667C22semidirect
94. #2666C22semidirect
97. #2647C22semidirect
98. #2645C22semidirect
99. #2633C22semidirect
100. #2629C22semidirect
101. #2628C22semidirect
102. #2598C22semidirect
103. #2582C22semidirect
104. #2582C22semidirect
105. #2582C22semidirect
108. #2574C22semidirect
110. #2571C22semidirect
111. #2567C22semidirect
112. #2566C22semidirect
113. #2565C22semidirect
114. #2564C22semidirect
115. #2564C22semidirect
117. #2560C22semidirect
118. #2556C22semidirect
119. #2552C22semidirect
120. #2546C22semidirect
122. #2542C22semidirect
123. #2540C22semidirect
131. #2536C22semidirect
135. #2526C22semidirect
136. #2524C22semidirect
137. #2523C22semidirect
138. #2522C22semidirect
139. #2518C22semidirect
140. #2514C22semidirect
141. #2514C22semidirect
142. #2508C22semidirect
143. #2507C22semidirect
144. #2506C22semidirect
145. #2506C22semidirect
146. #2503C22semidirect
147. #2503C22semidirect
148. #2501C22semidirect
151. #2497C22semidirect
154. #2496C22semidirect
156. #2495C22semidirect
157. #2494C22semidirect
158. #2493C22semidirect
159. #2492C22semidirect
160. #2492C22semidirect
161. #2490C22semidirect
163. #2489C22semidirect
164. #2489C22semidirect
165. #2487C22semidirect
172. #2479C22semidirect
173. #2478C22semidirect
174. #2477C22semidirect
175. #2477C22semidirect
176. #2475C22semidirect
177. #2473C22semidirect
179. #2467C22semidirect
184. #2452C22semidirect
187. #2447C22semidirect
188. #2446C22semidirect
189. #2443C22semidirect
190. #2442C22semidirect
191. #2441C22semidirect
194. #2439C22semidirect
196. #2436C22semidirect
197. #2434C22semidirect
200. #2429C22semidirect
202. #2427C22semidirect
203. #2426C22semidirect
204. #2423C22semidirect
205. #2423C22semidirect
207. #2421C22semidirect
208. #2421C22semidirect
213. #2417C22semidirect
214. #2417C22semidirect
215. #2417C22semidirect
216. #2416C22semidirect
222. #2409C22semidirect
229. #2377C22semidirect
230. #2376C22semidirect
231. #2373C22semidirect
232. #2370C22semidirect
233. #2368C22semidirect
235. #2365C22semidirect
245. #2355C22semidirect
246. #2355C22semidirect
247. #2354C22semidirect
248. #2354C22semidirect
250. #2352C22semidirect
254. D4×C4⋊C4C22semidirect
256. #2346C22semidirect
257. #2344C22semidirect
258. #2344C22semidirect
260. Q8×C22⋊C4C22semidirect
264. #2334C22semidirect
265. #2330C22semidirect
267. #2324C22semidirect
268. #2322C22semidirect
269. #2322C22semidirect
272. #2319C22semidirect
273. #2316C22semidirect
275. C4×C4⋊Q8C22semidirect
277. C4×#124C22semidirect
280. C4×C22⋊Q8C22semidirect
281. C4×C22⋊Q8C22semidirect
287. C4×#121C22semidirect
289. #2296C22semidirect
290. #2295C22semidirect
291. #2290C22semidirect
293. C2×#384C22semidirect
294. #2283C22semidirect
921. #121#41semidirect

Maximal subgroups

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

subgroupindex
#599212
#594212
#593042
#592422
#590272
#516332
#483542
#456872
#456252
#450102
#450062
#443962
#429572
#427752
#413442
#401722
#401002
#398872
#395962
#390442
#389772
#389302
#365042
#364052
#362042
#361812
#361742
D4×C22⋊Q82
#352802
#351762
#350852
#349352
#347202
#344662
C4×#5462