Finite Group Databasebeta

← #7689609

Subgroups — #7689609

Order 512.

5164 conjugacy classes of subgroups.

The subgroup lattice has 1741 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59883C214yesmaximal, complemented
2#59497C212yesmaximal, complemented
3#59451C211yesmaximal, characteristic, complemented
4#59276C212yesmaximal, complemented
5#59244C211yesmaximal, characteristic, complemented
6#59233C211yesmaximal, characteristic, complemented
7#59065C212yesmaximal, complemented
8#59017C212yesmaximal, complemented
9#45404C212yesmaximal, complemented
10#45215C212yesmaximal, complemented
11#44212C214yesmaximal, complemented
12#43663C214yesmaximal, complemented
13#40009C212yesmaximal, complemented
14#39911C212yesmaximal, complemented
15#39609C211yesmaximal, characteristic, complemented
16#39194C211yesmaximal, characteristic, complemented
17#38340C214yesmaximal, complemented
18#38206C212yesmaximal, complemented
19#36490C212yesmaximal, complemented
20#36473C211yesmaximal, characteristic, complemented
21#36404C211yesmaximal, characteristic, complemented
22#36310C212yesmaximal, complemented
23#36209C211yesmaximal, characteristic, complemented
24#36207C212yesmaximal, complemented
25#36132C211yesmaximal, characteristic, complemented
26#36100C211yesmaximal, characteristic, complemented
27#35800C212yesmaximal, complemented
28#35770C212yesmaximal, complemented
29#34813C212yesmaximal, complemented
30#34797C211yesmaximal, characteristic, complemented
31#34322C212yesmaximal, complemented
32#34316C211yesmaximal, characteristic, complemented
33#34186C211yesmaximal, characteristic, complemented
34C4×#546C211yesmaximal, characteristic, complemented
35#34129C211yesmaximal, characteristic, complemented
36C2×#556C2212yes—
37C2×#556C2212yescomplemented
38C2×#547C2211yescharacteristic
39C2×#546C2211yescharacteristic
40C2×#533C2212yescomplemented
41C2×#525C2212yes—
42C2×C4×#41C2211yescharacteristic
43C22×C4×D4C2211yescharacteristic
44#2866C2214yescomplemented
45#2860C2212yes—
46#2859C2211yescharacteristic, complemented
47#2857C2211yescharacteristic
48#2857C2211yescharacteristic, complemented
49#2855C2212yescomplemented
50#2851C2212yescomplemented
51#2848C2212yes—
52#2801C2214yescomplemented
53#2800C2214yescomplemented
54#2797C2214yescomplemented
55#2785C2214yescomplemented
56#2779C2214yescomplemented
57#2774C2214yescomplemented
58#2773C2214yescomplemented
59#2765C2214yescomplemented
60#2753C2214yes—
61#2751C2214yescomplemented
62#2742C2214yes—
63#2737C2214yescomplemented
64#2736C2214yes—
65#2723C2214yes—
66#2723C2214yescomplemented
67#2715C2214yes—
68#2714C2214yes—
69#2705C2214yes—
70#2685C2214yes—
71#2685C2214yes—
72#2670C2214yes—
73#2653C2214yes—
74#2648C2214yescomplemented
75#2628C2212yes—
76#2624C2212yes—
77#2610C2214yes—
78#2610C2214yescomplemented
79#2604C2214yescomplemented
80#2601C2214yescomplemented
81#2597C2214yescomplemented
82#2597C2214yescomplemented
83#2596C2214yescomplemented
84#2595C2214yescomplemented
85#2589C2214yescomplemented
86#2575C2214yescomplemented
87#2574C2214yescomplemented
88#2570C2212yescomplemented
89#2568C2211yescharacteristic, complemented
90#2567C2212yescomplemented
91#2563C2212yescomplemented
92#2563C2212yescomplemented
93#2554C2214yescomplemented
94#2551C2211yescharacteristic, complemented
95#2551C2211yescharacteristic, complemented
96#2542C2211yescharacteristic
97#2538C2211yescharacteristic, complemented
98#2537C2211yescharacteristic
99#2536C2212yes—
100#2532C2214yescomplemented
101#2531C2212yes—
102#2529C2212yescomplemented
103#2528C2214yescomplemented
104#2527C2214yescomplemented
105#2526C2214yes—
106#2521C2214yescomplemented
107#2521C2214yescomplemented
108#2518C2214yescomplemented
109#2518C2212yescomplemented
110#2517C2214yes—
111#2515C2214yescomplemented
112#2515C2214yescomplemented
113#2513C2212yes—
114#2512C2212yescomplemented
115#2512C2211yescharacteristic, complemented
116#2511C2212yescomplemented
117#2509C2212yescomplemented
118#2508C2212yescomplemented
119#2508C2212yescomplemented
120#2507C2211yescharacteristic, complemented
121#2505C2214yescomplemented
122#2500C2212yescomplemented
123#2500C2211yescharacteristic, complemented
124#2499C2212yescomplemented
125#2496C2212yes—
126#2496C2212yescomplemented
127#2495C2211yescharacteristic
128#2495C2212yes—
129#2495C2212yescomplemented
130#2494C2212yescomplemented
131#2494C2212yescomplemented
132#2492C2212yes—
133#2492C2212yescomplemented
134#2491C2212yes—
135#2491C2212yes—
136#2491C2212yes—
137#2491C2212yescomplemented
138#2490C2211yescharacteristic
139#2490C2212yescomplemented
140#2489C2212yes—
141#2489C2212yescomplemented
142#2489C2212yescomplemented
143#2488C2214yescomplemented
144#2488C2214yescomplemented
145#2485C2212yes—
146#2485C2212yes—
147#2485C2212yes—
148#2485C2211yescharacteristic
149#2482C2214yes—
150#2480C2214yes—
151#2472C2214yes—
152#2472C2214yes—
153#2470C2214yescomplemented
154#2469C2214yescomplemented
155#2469C2214yescomplemented
156#2469C2214yescomplemented
157#2468C2214yescomplemented
158#2467C2214yes—
159#2467C2212yes—
160#2465C2214yescomplemented
161#2465C2214yescomplemented
162#2459C2214yescomplemented
163#2458C2214yes—
164#2458C2214yescomplemented
165#2457C2214yescomplemented
166#2455C2214yes—
167#2452C2212yes—
168#2452C2212yes—
169#2451C2212yescomplemented
170#2448C2212yes—
171#2448C2214yescomplemented
172#2441C2212yescomplemented
173#2441C2211yescharacteristic, complemented
174#2439C2212yescomplemented
175#2439C2212yescomplemented
176#2439C2212yescomplemented
177#2426C2212yes—
178#2426C2214yes—
179#2423C2212yes—
180#2423C2212yescomplemented
181#2422C2212yes—
182#2421C2214yescomplemented
183#2421C2212yescomplemented
184#2420C2212yes—
185#2418C2214yes—
186#2415C2212yes—
187#2415C2212yescomplemented
188#2415C2212yescomplemented
189#2414C2212yes—
190#2414C2211yescharacteristic
191#2414C2212yescomplemented
192#2408C2212yes—
193#2407C2212yes—
194#2407C2212yes—
195#2407C2212yescomplemented
196#2398C2214yes—
197#2398C2214yescomplemented
198#2395C2212yescomplemented
199#2392C2212yes—
200#2374C2214yescomplemented
201#2373C2214yes—
202#2373C2214yescomplemented
203#2367C2214yes—
204#2367C2211yescharacteristic
205#2365C2211yescharacteristic, complemented
206#2365C2212yescomplemented
207#2365C2212yescomplemented
208#2365C2212yescomplemented
209#2364C2212yes—
210#2363C2212yes—
211#2363C2211yescharacteristic
212#2362C2212yescomplemented
213#2362C2212yescomplemented
214#2362C2212yescomplemented
215#2361C2212yes—
216#2360C2211yescharacteristic
217#2360C2212yescomplemented
218#2359C2212yes—
219#2358C2212yes—
220#2357C2212yes—
221#2357C2212yes—
222#2357C2214yes—
223#2356C2212yescomplemented
224#2355C2212yescomplemented
225#2354C2211yescharacteristic
226#2354C2211yescharacteristic
227#2354C2211yescharacteristic
228#2354C2211yescharacteristic
229#2354C2211yescharacteristic
230#2354C2212yes—
231#2354C2212yes—
232#2354C2211yescharacteristic, complemented
233#2354C2212yescomplemented
234#2354C2212yescomplemented
235#2352C2211yescharacteristic
236#2352C2212yescomplemented
237#2351C2214yescomplemented
238Q8×C4⋊C4C2211yescharacteristic, complemented
239Q8×C4⋊C4C2211yescharacteristic, complemented
240#2349C2211yescharacteristic
241D4×C4⋊C4C2212yes—
242#2346C2212yes—
243#2346C2212yescomplemented
244#2346C2214yescomplemented
245#2346C2212yescomplemented
246#2346C2212yescomplemented
247#2346C2212yescomplemented
248#2345C2212yescomplemented
249#2343C2214yescomplemented
250#2342C2212yes—
251#2341C2212yes—
252#2341C2212yescomplemented
253#2339C2211yescharacteristic
254D4×C22⋊C4C2211yescharacteristic
255#2335C2214yescomplemented
256#2334C2214yes—
257#2334C2214yescomplemented
258#2324C2212yes—
259#2323C2212yes—
260#2323C2212yescomplemented
261#2312C2214yes—
262#2309C2212yes—
263C4×C4⋊Q8C2211yescharacteristic, complemented
264C4×C4⋊Q8C2212yescomplemented
265C4×#125C2211yescharacteristic, complemented
266C4×#126C2212yescomplemented
267C4×#124C2214yes—
268C4×#124C2211yescharacteristic
269C4×#124C2214yescomplemented
270C4×C22⋊Q8C2211yescharacteristic
271C4×C22⋊Q8C2212yescomplemented
272C4×#123C2212yes—
273C4×#121C2211yescharacteristic
274C4×#121C2212yes—
275C4×#121C2211yescharacteristic
276C4×#121C2211yescharacteristic, complemented
277C4×#120C2212yes—
278#2297C2212yescomplemented
279#2297C2212yescomplemented
280#2295C2214yescomplemented
281#2293C2212yes—
282#2293C2212yes—
283#2293C2211yescharacteristic, complemented
284#2293C2214yescomplemented
285#2285C2211yescharacteristic
286#2285C2211yescharacteristic
287#2285C2211yescharacteristic, complemented
288#2285C2212yescomplemented
289#2280C2212yes—
290#2280C2212yes—
291#2274C2212yes—
292#2274C2212yescomplemented
293C42×Q8C2212yescomplemented
294C42×D4C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C4×#117C2211yescharacteristic, complemented
297C4×#117C2212yescomplemented
298C2×C4×C22⋊C4C2212yes—
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C23×D4C2311yescharacteristic
302C24×C4C2312yes—
303#556—216no—
304#556—48no—
305#547—28no—
306#546—28no—
307#533—48no—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×#126C2314yes—
314C2×#126C2314yes—
315C2×#126C2312yes—
316C2×#126C2314yes—
317C2×#126C2314yes—
318C2×#125C2311yescharacteristic
319C2×#125C2312yes—
320C2×#124C2314yes—
321C2×#124C2311yescharacteristic
322C2×#124C2314yes—
323C2×#124C2314yes—
324#525—48no—
325C2×#123C2314yes—
326C2×#123C2312yes—
327C2×#123C2314yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2311yescharacteristic
337C2×#121C2312yes—
338C2×#121C2311yescharacteristic
339C2×#121C2312yes—
340C2×#121C2311yescharacteristic
341C2×#121C2312yes—
342C2×#121C2312yes—
343C2×#121C2311yescharacteristic
344C2×#120C2312yes—
345C2×#120C2314yes—
346C4×#41—28no—
347C2×C4×Q8C2311yescharacteristic
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2314yes—
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2314yes—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2314yes—
356C2×C4×Q8C2314yes—
357C2×C4×D4—28no—
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2312yes—
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2312yes—
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2312yes—
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2312yes—
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2314yes—
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2314yes—
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2311yescharacteristic
378C2×#117C2312yes—
379C2×#117C2312yes—
380C2×#117C2311yescharacteristic
381C2×#117C2312yes—
382C2×#117C2312yes—
383C2×#117C2311yescharacteristic
384C2×#117C2312yes—
385C2×#117C2312yes—
386C2×#117C2314yes—
387C2×#117C2312yes—
388C2×#117C2312yes—
389C2×#117C2312yes—
390C2×#117C2312yes—
391C2×#117C2312yes—
392C2×#117C2311yescharacteristic
393C22×C4⋊C4C2312yes—
394C22×C4⋊C4C2311yescharacteristic
395C22×C22⋊C4C2312yes—
396C22×C22⋊C4C2312yes—
397C22×C22⋊C4C2312yes—
398C22×C42C2312yes—
399C22×C42C2311yescharacteristic
400C22×C42C2311yescharacteristic
401C22×C42C2312yes—
402#401C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2312yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#399C2314yes—
414#399C2314yes—
415#399C2314yes—
416#399C2314yes—
417#399C2312yes—
418#398C2314yes—
419#398C2314yes—
420#398C2312yes—
421#398C2312yes—
422#398C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2312yes—
428#397C2314yes—
429#397C2314yes—
430#397C2312yes—
431#397C2314yes—
432#397C2312yes—
433#397C2312yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#396C2312yes—
440#396C2314yes—
441#396C2314yes—
442#396C2312yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#395C2314yes—
447#395C2314yes—
448#395C2314yes—
449#395C2314yes—
450#394C2312yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2312yes—
458#394C2312yes—
459#394C2312yes—
460#394C2312yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#393C2314yes—
469#393C2314yes—
470#393C2314yes—
471#393C2314yes—
472#393C2314yes—
473#393C2314yes—
474#393C2314yes—
475#393C2314yes—
476#392C2314yes—
477#392C2314yes—
478#392C2312yes—
479#392C2314yes—
480#391C2314yes—
481#391C2312yes—
482#391C2312yes—
483#391C2312yes—
484#391C2312yes—
485#391C2312yes—
486#391C2314yes—
487#391C2311yescharacteristic
488#391C2314yes—
489#391C2311yescharacteristic
490#391C2312yes—
491#391C2312yes—
492#391C2314yes—
493#391C2314yes—
494#390C2314yes—
495#390C2314yes—
496#390C2312yes—
497#390C2312yes—
498#390C2314yes—
499#390C2312yes—
500#390C2312yes—
501#390C2314yes—
502#390C2314yes—
503#390C2314yes—
504#390C2311yescharacteristic
505#390C2311yescharacteristic
506#390C2312yes—
507#390C2314yes—
508#390C2314yes—
509#390C2311yescharacteristic
510#390C2312yes—
511#390C2314yes—
512#390C2312yes—
513#390C2312yes—
514#390C2312yes—
515#390C2311yescharacteristic
516#390C2312yes—
517#390C2312yes—
518#390C2311yescharacteristic
519#390C2311yescharacteristic
520#389C2311yescharacteristic
521#389C2311yescharacteristic
522#389C2311yescharacteristic
523#389C2312yes—
524#389C2314yes—
525#389C2312yes—
526#389C2312yes—
527#389C2314yes—
528#389C2314yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2314yes—
533#389C2312yes—
534#389C2314yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2314yes—
539#389C2311yescharacteristic
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2314yes—
547#389C2312yes—
548#389C2312yes—
549#389C2314yes—
550#389C2312yes—
551#389C2311yescharacteristic
552#389C2312yes—
553#389C2311yescharacteristic
554#389C2311yescharacteristic
555#389C2311yescharacteristic
556#389C2312yes—
557#388C2312yes—
558#388C2312yes—
559#388C2312yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2312yes—
580#388C2314yes—
581#388C2312yes—
582#388C2314yes—
583#388C2312yes—
584#388C2314yes—
585#388C2314yes—
586#388C2312yes—
587#388C2314yes—
588#388C2314yes—
589#388C2312yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2312yes—
594#388C2314yes—
595#388C2314yes—
596#388C2312yes—
597#388C2312yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2312yes—
608#388C2312yes—
609#388C2314yes—
610#388C2314yes—
611#388C2312yes—
612#388C2312yes—
613#388C2312yes—
614#388C2314yes—
615#388C2312yes—
616#388C2312yes—
617#387C2312yes—
618#387C2312yes—
619#387C2312yes—
620#387C2312yes—
621#387C2312yes—
622#387C2314yes—
623#387C2314yes—
624#387C2312yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2312yes—
647#387C2312yes—
648#387C2314yes—
649#386C2314yes—
650#386C2312yes—
651#386C2312yes—
652#386C2312yes—
653#386C2312yes—
654#386C2314yes—
655#386C2312yes—
656#386C2314yes—
657#386C2314yes—
658#386C2312yes—
659#386C2312yes—
660#386C2312yes—
661#386C2314yes—
662#386C2314yes—
663#386C2312yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2312yes—
668#385C2312yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2312yes—
675#385C2314yes—
676#385C2312yes—
677#385C2312yes—
678#384C2312yes—
679#384C2311yescharacteristic
680#384C2311yescharacteristic
681#384C2312yes—
682#384C2311yescharacteristic
683#384C2311yescharacteristic
684#384C2312yes—
685#384C2311yescharacteristic
686#383C2312yes—
687#383C2314yes—
688#382C2311yescharacteristic
689#382C2314yes—
690#382C2314yes—
691#382C2312yes—
692#382C2311yescharacteristic
693#382C2314yes—
694#382C2314yes—
695#382C2314yes—
696#382C2312yes—
697#382C2312yes—
698#382C2314yes—
699#382C2312yes—
700#382C2312yes—
701#381C2314yes—
702#381C2312yes—
703#381C2314yes—
704#381C2314yes—
705#380C2311yescharacteristic
706#380C2311yescharacteristic
707#380C2312yes—
708#380C2312yes—
709#380C2312yes—
710#380C2312yes—
711#380C2312yes—
712#380C2312yes—
713#380C2312yes—
714#380C2312yes—
715#380C2314yes—
716#380C2312yes—
717#380C2311yescharacteristic
718#380C2312yes—
719#380C2311yescharacteristic
720#380C2312yes—
721#380C2314yes—
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2311yescharacteristic
730#380C2311yescharacteristic
731#380C2312yes—
732#379C2314yes—
733#379C2314yes—
734#379C2314yes—
735#379C2312yes—
736C4×C4⋊C4C2311yescharacteristic
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C22⋊C4C2312yes—
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2311yescharacteristic
786C4×C22⋊C4C2311yescharacteristic
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2311yescharacteristic
809#376C2314yes—
810#376C2314yes—
811#376C2312yes—
812#376C2314yes—
813C2×#95C2312yes—
814C2×#95C2312yes—
815C43C2312yes—
816C43C2311yescharacteristic
817C43C2314yes—
818C25C2412yes—
819C2×#41—24no—
820C2×#41—24no—
821C2×#41—28no—
822C2×#41—42no—
823C2×#41—44no—
824C2×#41—44no—
825C22×Q8C2412yes—
826C22×Q8C2414yes—
827C22×Q8C2411yescharacteristic
828C22×Q8C2414yes—
829C22×D4—24no—
830C22×D4—24no—
831C22×D4—42no—
832C22×D4C2411yescharacteristic
833C22×D4C2411yescharacteristic
834C22×D4C2412yes—
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2411yescharacteristic
838C22×D4C2411yescharacteristic
839C22×D4C2412yes—
840C22×D4C2414yes—
841C22×D4C2414yes—
842C22×D4C2412yes—
843C23×C4—28no—
844C23×C4—44no—
845C23×C4—44no—
846C23×C4C2412yes—
847C23×C4C2411yescharacteristic
848C23×C4C2412yes—
849C23×C4C2411yescharacteristic
850C23×C4C2411yescharacteristic
851C23×C4C2412yes—
852C23×C4C2412yes—
853C23×C4C2411yescharacteristic
854C23×C4C2411yescharacteristic
855C23×C4C2412yes—
856C23×C4C2411yescharacteristic
857C23×C4C2412yes—
858C23×C4C2412yes—
859C23×C4C2414yes—
860C23×C4C2412yes—
861C23×C4C2412yes—
862C23×C4C2412yes—
863C4⋊Q8—28no—
864C4⋊Q8—28no—
865C4⋊Q8—24no—
866C4⋊Q8—44no—
867C4⋊Q8—44no—
868#126—216no—
869#126—216no—
870#126—44no—
871#126—48no—
872#126—48no—
873#125—24no—
874#125—44no—
875#124—24no—
876#124—216no—
877#124—48no—
878#124—48no—
879#123—28no—
880#123—216no—
881#123—48no—
882C22⋊Q8—28no—
883C22⋊Q8—28no—
884C22⋊Q8—28no—
885C22⋊Q8—48no—
886C22⋊Q8—48no—
887C22⋊Q8—44no—
888C22⋊Q8—44no—
889C22⋊Q8—44no—
890C22⋊Q8#4118yescomplemented
891#121—28no—
892#121—24no—
893#121—28no—
894#121—24no—
895#121—42no—
896#121—44no—
897#121—44no—
898#120—28no—
899#120—48no—
900C4×Q8—28no—
901C4×Q8—24no—
902C4×Q8—216no—
903C4×Q8—24no—
904C4×Q8—48no—
905C4×Q8—44no—
906C4×Q8—44no—
907C4×Q8—48no—
908C4×Q8—44no—
909C4×Q8—48no—
910C4×D4—24no—
911C4×D4—24no—
912C4×D4—28no—
913C4×D4—28no—
914C4×D4—24no—
915C4×D4—28no—
916C4×D4—24no—
917C4×D4—24no—
918C4×D4—28no—
919C4×D4—28no—
920C4×D4—24no—
921C4×D4—24no—
922C4×D4—48no—
923C4×D4—42no—
924C4×D4—48no—
925C4×D4—44no—
926C4×D4—42no—
927C4×D4—44no—
928C4×D4—42no—
929C4×D4#4118yes—
930#117—28no—
931#117—24no—
932#117—28no—
933#117—28no—
934#117—24no—
935#117—28no—
936#117—44no—
937#117—44no—
938#117—44no—
939#117—48no—
940#117—44no—
941#117—42no—
942#117—44no—
943#117—44no—
944#117—44no—
945C2×C4⋊C4—24no—
946C2×C4⋊C4—28no—
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C22⋊C4—28no—
1010C2×C22⋊C4—28no—
1011C2×C22⋊C4—44no—
1012C2×C22⋊C4C2411yescharacteristic
1013C2×C22⋊C4C2411yescharacteristic
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2411yescharacteristic
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2411yescharacteristic
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2411yescharacteristic
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2411yescharacteristic
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C42—28no—
1077C2×C42—24no—
1078C2×C42—24no—
1079C2×C42—44no—
1080C2×C42C2411yescharacteristic
1081C2×C42C2412yes—
1082C2×C42C2414yes—
1083C2×C42C2412yes—
1084C2×C42C2412yes—
1085C2×C42C2411yescharacteristic
1086C2×C42C2414yes—
1087C2×C42C2412yes—
1088C2×C42C2412yes—
1089C2×C42C2414yes—
1090C2×C42C2414yes—
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2411yescharacteristic
1095C2×C42C2411yescharacteristic
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099C2×C42C2411yescharacteristic
1100C2×C42C2412yes—
1101C2×C42C2414yes—
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104C2×C42C2414yes—
1105C2×C42C2414yes—
1106C2×C42C2414yes—
1107C2×C42C2412yes—
1108C2×C42C2414yes—
1109C2×C42C2411yescharacteristic
1110C2×C42C2414yes—
1111C2×C42C2412yes—
1112C2×C42C2412yes—
1113C2×C42C2414yes—
1114C2×C42C2414yes—
1115C2×C42C2412yes—
1116C2×C42C2411yescharacteristic
1117C2×C42C2411yescharacteristic
1118#95C2411yescharacteristic
1119#95C2411yescharacteristic
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2411yescharacteristic
1127#95C2412yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2411yescharacteristic
1145#95C2414yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2411yescharacteristic
1149#95C2411yescharacteristic
1150#95C2414yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2412yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2412yes—
1165#95C2414yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2414yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184C24—24no—
1185C24—24no—
1186C24—42no—
1187C24—42no—
1188C24—42no—
1189C24—42no—
1190C24—42no—
1191C24C2512yes—
1192C24C2512yes—
1193C24C2511yescharacteristic
1194C24C2511yescharacteristic
1195C24C2512yes—
1196#41—416no—
1197#41—816no—
1198C2×Q8—22no—
1199C2×Q8—28no—
1200C2×Q8—24no—
1201C2×Q8—28no—
1202C2×Q8—24no—
1203C2×Q8—22no—
1204C2×Q8—24no—
1205C2×Q8—44no—
1206C2×Q8—44no—
1207C2×Q8—44no—
1208C2×Q8—44no—
1209C2×Q8C2×#4114yes—
1210C2×D4—24no—
1211C2×D4—24no—
1212C2×D4—22no—
1213C2×D4—24no—
1214C2×D4—28no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—22no—
1218C2×D4—24no—
1219C2×D4—24no—
1220C2×D4—22no—
1221C2×D4—24no—
1222C2×D4—24no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—22no—
1227C2×D4—416no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—42no—
1231C2×D4—42no—
1232C2×D4—42no—
1233C2×D4—44no—
1234C2×D4—42no—
1235C2×D4—42no—
1236C2×D4—44no—
1237C2×D4—42no—
1238C2×D4—44no—
1239C2×D4—44no—
1240C2×D4—42no—
1241C2×D4—42no—
1242C2×D4—44no—
1243C2×D4C2×#4114yes—
1244C22×C4—22no—
1245C22×C4—24no—
1246C22×C4—22no—
1247C22×C4—24no—
1248C22×C4—24no—
1249C22×C4—24no—
1250C22×C4—24no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—24no—
1256C22×C4—24no—
1257C22×C4—24no—
1258C22×C4—24no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—24no—
1262C22×C4—22no—
1263C22×C4—24no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—24no—
1267C22×C4—24no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—22no—
1271C22×C4—24no—
1272C22×C4—24no—
1273C22×C4—28no—
1274C22×C4—24no—
1275C22×C4—41no—
1276C22×C4—42no—
1277C22×C4—42no—
1278C22×C4—42no—
1279C22×C4—42no—
1280C22×C4—42no—
1281C22×C4—42no—
1282C22×C4—42no—
1283C22×C4—44no—
1284C22×C4—41no—
1285C22×C4—42no—
1286C22×C4—42no—
1287C22×C4—42no—
1288C22×C4—42no—
1289C22×C4—42no—
1290C22×C4—41no—
1291C22×C4—42no—
1292C22×C4—44no—
1293C22×C4—816no—
1294C22×C4C2×#4118yes—
1295C22×C4C2×#4114yes—
1296C22×C4C2511yescharacteristic
1297C22×C4C2511yescharacteristic
1298C22×C4C2512yes—
1299C22×C4C2511yescharacteristic
1300C22×C4C2512yes—
1301C22×C4C2511yescharacteristic
1302C22×C4C2512yes—
1303C22×C4C2511yescharacteristic
1304C22×C4C2512yes—
1305C22×C4C2511yescharacteristic
1306C22×C4C2512yes—
1307C22×C4C2512yes—
1308C22×C4C2514yes—
1309C22×C4C2514yes—
1310C22×C4C2511yescharacteristic
1311C22×C4C2512yes—
1312C22×C4C2514yes—
1313C22×C4C2512yes—
1314C22×C4C2514yes—
1315C22×C4C2511yescharacteristic
1316C22×C4C2512yes—
1317C22×C4C2512yes—
1318C22×C4C2512yes—
1319C22×C4C2512yes—
1320C22×C4C2511yescharacteristic
1321C22×C4C2511yescharacteristic
1322C22×C4C2512yes—
1323C22×C4C2511yescharacteristic
1324C22×C4C2511yescharacteristic
1325C22×C4C2511yescharacteristic
1326C4⋊C4—24no—
1327C4⋊C4—22no—
1328C4⋊C4—24no—
1329C4⋊C4—28no—
1330C4⋊C4—24no—
1331C4⋊C4—24no—
1332C4⋊C4—24no—
1333C4⋊C4—22no—
1334C4⋊C4—24no—
1335C4⋊C4—24no—
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—28no—
1339C4⋊C4—28no—
1340C4⋊C4—24no—
1341C4⋊C4—28no—
1342C4⋊C4—22no—
1343C4⋊C4—24no—
1344C4⋊C4—24no—
1345C4⋊C4—22no—
1346C4⋊C4—28no—
1347C4⋊C4—24no—
1348C4⋊C4—24no—
1349C4⋊C4—28no—
1350C4⋊C4—22no—
1351C4⋊C4—24no—
1352C4⋊C4—22no—
1353C4⋊C4—22no—
1354C4⋊C4—22no—
1355C4⋊C4—22no—
1356C4⋊C4—24no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C4⋊C4—42no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—42no—
1369C4⋊C4—42no—
1370C4⋊C4—41no—
1371C4⋊C4—42no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4—42no—
1382C4⋊C4—42no—
1383C4⋊C4—44no—
1384C4⋊C4C2×#4114yes—
1385C4⋊C4C2×#4114yes—
1386C4⋊C4C2×#4118yes—
1387C4⋊C4H(5,𝔽2)14yes—
1388C22⋊C4—22no—
1389C22⋊C4—24no—
1390C22⋊C4—24no—
1391C22⋊C4—28no—
1392C22⋊C4—24no—
1393C22⋊C4—28no—
1394C22⋊C4—24no—
1395C22⋊C4—24no—
1396C22⋊C4—24no—
1397C22⋊C4—24no—
1398C22⋊C4—24no—
1399C22⋊C4—28no—
1400C22⋊C4—24no—
1401C22⋊C4—22no—
1402C22⋊C4—24no—
1403C22⋊C4—24no—
1404C22⋊C4—24no—
1405C22⋊C4—28no—
1406C22⋊C4—28no—
1407C22⋊C4—24no—
1408C22⋊C4—24no—
1409C22⋊C4—28no—
1410C22⋊C4—22no—
1411C22⋊C4—24no—
1412C22⋊C4—24no—
1413C22⋊C4—42no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C22⋊C4—44no—
1417C22⋊C4—42no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—42no—
1421C22⋊C4—42no—
1422C22⋊C4—44no—
1423C22⋊C4—42no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—42no—
1427C22⋊C4—44no—
1428C22⋊C4—42no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—41no—
1433C22⋊C4—41no—
1434C22⋊C4—42no—
1435C22⋊C4—42no—
1436C22⋊C4—42no—
1437C22⋊C4—41no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—42no—
1441C22⋊C4—42no—
1442C22⋊C4—42no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—42no—
1449C22⋊C4—42no—
1450C22⋊C4C2×#4118yes—
1451C22⋊C4C2×#4118yes—
1452C42—22no—
1453C42—22no—
1454C42—24no—
1455C42—22no—
1456C42—22no—
1457C42—22no—
1458C42—24no—
1459C42—22no—
1460C42—24no—
1461C42—28no—
1462C42—28no—
1463C42—22no—
1464C42—24no—
1465C42—28no—
1466C42—22no—
1467C42—24no—
1468C42—28no—
1469C42—24no—
1470C42—22no—
1471C42—24no—
1472C42—28no—
1473C42—24no—
1474C42—24no—
1475C42—22no—
1476C42—42no—
1477C42—42no—
1478C42—42no—
1479C42—41no—
1480C42—44no—
1481C42—42no—
1482C42—44no—
1483C42—44no—
1484C42—44no—
1485C42—41no—
1486C42—44no—
1487C42—44no—
1488C42—44no—
1489C42C2×#4114yes—
1490C23—22no—
1491C23—21no—
1492C23—22no—
1493C23—21no—
1494C23—21no—
1495C23—22no—
1496C23—21no—
1497C23—22no—
1498C23—21no—
1499C23—22no—
1500C23—22no—
1501C23—21no—
1502C23—22no—
1503C23—22no—
1504C23—21no—
1505C23—22no—
1506C23—22no—
1507C23—21no—
1508C23—21no—
1509C23—22no—
1510C23—22no—
1511C23—22no—
1512C23—22no—
1513C23—21no—
1514C23—22no—
1515C23—22no—
1516C23—21no—
1517C23—21no—
1518C23—22no—
1519C23—22no—
1520C23—22no—
1521C23—22no—
1522C23—21no—
1523C23—48no—
1524C23—48no—
1525C23—84no—
1526C23—84no—
1527C23—84no—
1528C23—84no—
1529C23—84no—
1530C23C22×#4112yes—
1531C23C22×#4114yes—
1532C23C2611yescharacteristic
1533Q8—28no—
1534Q8—416no—
1535Q8—48no—
1536Q8—88no—
1537D4—28no—
1538D4—48no—
1539D4—48no—
1540D4—48no—
1541D4—44no—
1542D4—44no—
1543D4—44no—
1544D4—84no—
1545D4—88no—
1546D4—88no—
1547D4—84no—
1548C2×C4—21no—
1549C2×C4—22no—
1550C2×C4—21no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—28no—
1563C2×C4—216no—
1564C2×C4—21no—
1565C2×C4—24no—
1566C2×C4—21no—
1567C2×C4—22no—
1568C2×C4—21no—
1569C2×C4—22no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—22no—
1574C2×C4—24no—
1575C2×C4—22no—
1576C2×C4—21no—
1577C2×C4—22no—
1578C2×C4—24no—
1579C2×C4—21no—
1580C2×C4—22no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—22no—
1584C2×C4—24no—
1585C2×C4—24no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—24no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—22no—
1592C2×C4—24no—
1593C2×C4—21no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—21no—
1599C2×C4—24no—
1600C2×C4—22no—
1601C2×C4—21no—
1602C2×C4—22no—
1603C2×C4—24no—
1604C2×C4—22no—
1605C2×C4—21no—
1606C2×C4—22no—
1607C2×C4—21no—
1608C2×C4—22no—
1609C2×C4—21no—
1610C2×C4—24no—
1611C2×C4—24no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—21no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—21no—
1618C2×C4—22no—
1619C2×C4—21no—
1620C2×C4—22no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—22no—
1624C2×C4—24no—
1625C2×C4—22no—
1626C2×C4—21no—
1627C2×C4—44no—
1628C2×C4—48no—
1629C2×C4—48no—
1630C2×C4—48no—
1631C2×C4—44no—
1632C2×C4—44no—
1633C2×C4—48no—
1634C2×C4—44no—
1635C2×C4—84no—
1636C2×C4—82no—
1637C2×C4—84no—
1638C2×C4—84no—
1639C2×C4—88no—
1640C2×C4—84no—
1641C2×C4—84no—
1642C2×C4C22×#4112yes—
1643C2×C4C22×#4112yes—
1644C2×C4C22×#4114yes—
1645C2×C4C22×#4114yes—
1646C2×C4C22×#4114yes—
1647C2×C4C22×#4112yes—
1648C2×C4C22×#4112yes—
1649C2×C4C22×#4112yes—
1650C2×C4C2×H(5,𝔽2)14yes—
1651C2×C4C2×H(5,𝔽2)12yes—
1652C2×C4#58512yes—
1653C2×C4#58512yes—
1654C2×C4#58512yes—
1655C22—22no—
1656C22—24no—
1657C22—24no—
1658C22—22no—
1659C22—22no—
1660C22—24no—
1661C22—42no—
1662C22—41no—
1663C22—42no—
1664C22—41no—
1665C22—41no—
1666C22—42no—
1667C22—42no—
1668C22—41no—
1669C22—42no—
1670C22—41no—
1671C22—42no—
1672C22—41no—
1673C22—42no—
1674C22—42no—
1675C22—42no—
1676C22—42no—
1677C22—41no—
1678C22—42no—
1679C22—41no—
1680C22—42no—
1681C22—41no—
1682C22—42no—
1683C22—42no—
1684C22—41no—
1685C22—42no—
1686C22—42no—
1687C22—41no—
1688C22—42no—
1689C22—42no—
1690C22—816no—
1691C22C23×#4111yescharacteristic
1692C22C23×#4111yescharacteristic
1693C22C22×H(5,𝔽2)11yescharacteristic
1694C22C2×#58511yescharacteristic
1695C22C2×#58511yescharacteristic
1696C22C2×#58511yescharacteristic
1697C222−1+611yescharacteristic
1698C4—24no—
1699C4—24no—
1700C4—22no—
1701C4—22no—
1702C4—24no—
1703C4—22no—
1704C4—24no—
1705C4—41no—
1706C4—44no—
1707C4—42no—
1708C4—41no—
1709C4—42no—
1710C4—41no—
1711C4—42no—
1712C4—44no—
1713C4—42no—
1714C4—41no—
1715C4—42no—
1716C4—41no—
1717C4—44no—
1718C4—44no—
1719C4—42no—
1720C4—41no—
1721C4—41no—
1722C4—42no—
1723C4—42no—
1724C4—42no—
1725C4—41no—
1726C4#347514yes—
1727C4#351414yes—
1728C2—44no—
1729C2—42no—
1730C2—82no—
1731C2—81no—
1732C2—82no—
1733C2C2×#347511yescharacteristic
1734C2C2×#351411yescharacteristic
1735C2#6279311yescharacteristic
1736C2#6293611yescharacteristic
1737C2#6298511yescharacteristic
1738C2#6299311yescharacteristic
1739C2#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. #59883C2semidirect
2. #59497C2semidirect
3. #59451C2semidirect
4. #59276C2semidirect
5. #59244C2semidirect
6. #59233C2semidirect
7. #59065C2semidirect
8. #59017C2semidirect
9. #45404C2semidirect
10. #45215C2semidirect
11. #44212C2semidirect
12. #43663C2semidirect
13. #40009C2semidirect
14. #39911C2semidirect
15. #39609C2semidirect
16. #39194C2semidirect
17. #38340C2semidirect
18. #38206C2semidirect
19. #36490C2semidirect
20. #36473C2semidirect
21. #36404C2semidirect
22. #36310C2semidirect
23. #36209C2semidirect
24. #36207C2semidirect
25. #36132C2semidirect
26. #36100C2semidirect
27. #35800C2semidirect
28. #35770C2semidirect
29. #34813C2semidirect
30. #34797C2semidirect
31. #34322C2semidirect
32. #34316C2semidirect
33. #34186C2semidirect
34. C4×#546C2semidirect
35. #34129C2semidirect
37. C2×#556C22semidirect
40. C2×#533C22semidirect
44. #2866C22semidirect
46. #2859C22semidirect
48. #2857C22semidirect
49. #2855C22semidirect
50. #2851C22semidirect
52. #2801C22semidirect
53. #2800C22semidirect
54. #2797C22semidirect
55. #2785C22semidirect
56. #2779C22semidirect
57. #2774C22semidirect
58. #2773C22semidirect
59. #2765C22semidirect
61. #2751C22semidirect
63. #2737C22semidirect
66. #2723C22semidirect
74. #2648C22semidirect
78. #2610C22semidirect
79. #2604C22semidirect
80. #2601C22semidirect
81. #2597C22semidirect
82. #2597C22semidirect
83. #2596C22semidirect
84. #2595C22semidirect
85. #2589C22semidirect
86. #2575C22semidirect
87. #2574C22semidirect
88. #2570C22semidirect
89. #2568C22semidirect
90. #2567C22semidirect
91. #2563C22semidirect
92. #2563C22semidirect
93. #2554C22semidirect
94. #2551C22semidirect
95. #2551C22semidirect
97. #2538C22semidirect
100. #2532C22semidirect
102. #2529C22semidirect
103. #2528C22semidirect
104. #2527C22semidirect
106. #2521C22semidirect
107. #2521C22semidirect
108. #2518C22semidirect
109. #2518C22semidirect
111. #2515C22semidirect
112. #2515C22semidirect
114. #2512C22semidirect
115. #2512C22semidirect
116. #2511C22semidirect
117. #2509C22semidirect
118. #2508C22semidirect
119. #2508C22semidirect
120. #2507C22semidirect
121. #2505C22semidirect
122. #2500C22semidirect
123. #2500C22semidirect
124. #2499C22semidirect
126. #2496C22semidirect
129. #2495C22semidirect
130. #2494C22semidirect
131. #2494C22semidirect
133. #2492C22semidirect
137. #2491C22semidirect
139. #2490C22semidirect
141. #2489C22semidirect
142. #2489C22semidirect
143. #2488C22semidirect
144. #2488C22semidirect
153. #2470C22semidirect
154. #2469C22semidirect
155. #2469C22semidirect
156. #2469C22semidirect
157. #2468C22semidirect
160. #2465C22semidirect
161. #2465C22semidirect
162. #2459C22semidirect
164. #2458C22semidirect
165. #2457C22semidirect
169. #2451C22semidirect
171. #2448C22semidirect
172. #2441C22semidirect
173. #2441C22semidirect
174. #2439C22semidirect
175. #2439C22semidirect
176. #2439C22semidirect
180. #2423C22semidirect
182. #2421C22semidirect
183. #2421C22semidirect
187. #2415C22semidirect
188. #2415C22semidirect
191. #2414C22semidirect
195. #2407C22semidirect
197. #2398C22semidirect
198. #2395C22semidirect
200. #2374C22semidirect
202. #2373C22semidirect
205. #2365C22semidirect
206. #2365C22semidirect
207. #2365C22semidirect
208. #2365C22semidirect
212. #2362C22semidirect
213. #2362C22semidirect
214. #2362C22semidirect
217. #2360C22semidirect
223. #2356C22semidirect
224. #2355C22semidirect
232. #2354C22semidirect
233. #2354C22semidirect
234. #2354C22semidirect
236. #2352C22semidirect
237. #2351C22semidirect
238. Q8×C4⋊C4C22semidirect
239. Q8×C4⋊C4C22semidirect
243. #2346C22semidirect
244. #2346C22semidirect
245. #2346C22semidirect
246. #2346C22semidirect
247. #2346C22semidirect
248. #2345C22semidirect
249. #2343C22semidirect
252. #2341C22semidirect
255. #2335C22semidirect
257. #2334C22semidirect
260. #2323C22semidirect
263. C4×C4⋊Q8C22semidirect
264. C4×C4⋊Q8C22semidirect
265. C4×#125C22semidirect
266. C4×#126C22semidirect
269. C4×#124C22semidirect
271. C4×C22⋊Q8C22semidirect
276. C4×#121C22semidirect
278. #2297C22semidirect
279. #2297C22semidirect
280. #2295C22semidirect
283. #2293C22semidirect
284. #2293C22semidirect
287. #2285C22semidirect
288. #2285C22semidirect
292. #2274C22semidirect
293. C42×Q8C22semidirect
296. C4×#117C22semidirect
297. C4×#117C22semidirect
890. C22⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
#598832
#594972
#594512
#592762
#592442
#592332
#590652
#590172
#454042
#452152
#442122
#436632
#400092
#399112
#396092
#391942
#383402
#382062
#364902
#364732
#364042
#363102
#362092
#362072
#361322
#361002
#358002
#357702
#348132
#347972
#343222
#343162
#341862
C4×#5462
#341292