Finite Group Databasebeta

← #7686119

Subgroups — #7686119

Order 512.

5202 conjugacy classes of subgroups.

The subgroup lattice has 1702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59575C212yesmaximal, complemented
2#59462C212yesmaximal, complemented
3#59437C211yesmaximal, characteristic, complemented
4#59329C211yesmaximal, characteristic, complemented
5#59230C211yesmaximal, characteristic, complemented
6#59203C212yesmaximal, complemented
7#59194C214yesmaximal, complemented
8#59111C212yesmaximal, complemented
9#44977C212yesmaximal, complemented
10#44919C212yesmaximal, complemented
11#43682C214yesmaximal, complemented
12#43673C214yesmaximal, complemented
13#39035C212yesmaximal, complemented
14#39025C212yesmaximal, complemented
15#38967C211yesmaximal, characteristic, complemented
16#38923C211yesmaximal, characteristic, complemented
17#38399C214yesmaximal, complemented
18#37853C212yesmaximal, complemented
19#36555C211yesmaximal, characteristic, complemented
20#36449C211yesmaximal, characteristic, complemented
21#36307C212yesmaximal, complemented
22#36181C211yesmaximal, characteristic, complemented
23#36163C212yesmaximal, complemented
24#36162C212yesmaximal
25#36161C211yesmaximal, characteristic, complemented
26#36133C211yesmaximal, characteristic, complemented
27#35770C212yesmaximal, complemented
28#35726C212yesmaximal, complemented
29#34946C212yesmaximal, complemented
30#34700C211yesmaximal, characteristic
31#34322C211yesmaximal, characteristic, complemented
32#34242C211yesmaximal, characteristic, complemented
33#34178C212yesmaximal, complemented
34C4×#552C211yesmaximal, characteristic, complemented
35C2×D4×C4⋊C4C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#552C2211yescharacteristic
38C2×#552C2212yes—
39C2×#533C2212yes—
40C2×#529C2211yescharacteristic
41C22×C4×D4C2211yescharacteristic
42C22×C4×D4C2212yes—
43C23×C4⋊C4C2212yes—
44#2864C2212yescomplemented
45#2863C2212yescomplemented
46#2859C2211yescharacteristic, complemented
47#2857C2211yescharacteristic
48#2857C2211yescharacteristic, complemented
49#2855C2212yes—
50#2849C2214yes—
51#2848C2212yes—
52#2794C2214yescomplemented
53#2788C2214yescomplemented
54#2787C2214yescomplemented
55#2786C2214yescomplemented
56#2784C2214yescomplemented
57#2779C2214yescomplemented
58#2770C2214yescomplemented
59#2768C2214yescomplemented
60#2747C2214yescomplemented
61#2747C2214yescomplemented
62#2747C2214yescomplemented
63#2745C2214yescomplemented
64#2744C2214yescomplemented
65#2742C2214yescomplemented
66#2742C2214yescomplemented
67#2738C2214yescomplemented
68#2737C2214yescomplemented
69#2725C2214yescomplemented
70#2722C2214yescomplemented
71#2719C2214yescomplemented
72#2695C2214yescomplemented
73#2653C2214yescomplemented
74#2652C2214yescomplemented
75#2628C2212yescomplemented
76#2625C2212yescomplemented
77#2595C2214yescomplemented
78#2590C2214yescomplemented
79#2589C2214yescomplemented
80#2587C2214yescomplemented
81#2582C2211yescharacteristic, complemented
82#2578C2214yescomplemented
83#2577C2214yescomplemented
84#2577C2214yescomplemented
85#2574C2214yescomplemented
86#2574C2214yescomplemented
87#2574C2214yescomplemented
88#2571C2211yescharacteristic, complemented
89#2570C2212yescomplemented
90#2570C2212yescomplemented
91#2565C2212yescomplemented
92#2563C2212yes—
93#2563C2212yes—
94#2563C2212yescomplemented
95#2562C2214yes—
96#2562C2214yes—
97#2561C2214yes—
98#2561C2214yes—
99#2551C2211yescharacteristic, complemented
100#2550C2212yescomplemented
101#2547C2212yes—
102#2547C2211yescharacteristic
103#2547C2212yes—
104#2546C2211yescharacteristic, complemented
105#2538C2211yescharacteristic
106#2533C2214yescomplemented
107#2533C2214yescomplemented
108#2531C2214yescomplemented
109#2530C2214yescomplemented
110#2530C2214yescomplemented
111#2528C2214yescomplemented
112#2523C2214yescomplemented
113#2522C2214yescomplemented
114#2522C2214yescomplemented
115#2517C2214yescomplemented
116#2514C2212yescomplemented
117#2511C2212yescomplemented
118#2511C2212yescomplemented
119#2509C2212yescomplemented
120#2508C2212yescomplemented
121#2506C2212yescomplemented
122#2506C2212yescomplemented
123#2506C2212yescomplemented
124#2503C2212yes—
125#2503C2212yes—
126#2503C2212yes—
127#2499C2212yescomplemented
128#2497C2212yescomplemented
129#2496C2212yescomplemented
130#2496C2212yescomplemented
131#2495C2212yescomplemented
132#2495C2212yescomplemented
133#2494C2212yescomplemented
134#2493C2214yes—
135#2492C2212yescomplemented
136#2488C2214yes—
137#2486C2212yes—
138#2486C2212yes—
139#2485C2212yes—
140#2485C2212yescomplemented
141#2485C2212yescomplemented
142#2484C2214yes—
143#2484C2214yes—
144#2482C2214yes—
145#2481C2214yescomplemented
146#2481C2214yescomplemented
147#2480C2212yes—
148#2480C2214yes—
149#2473C2214yescomplemented
150#2473C2214yescomplemented
151#2469C2214yescomplemented
152#2468C2212yes—
153#2467C2214yes—
154#2467C2214yes—
155#2466C2214yes—
156#2462C2214yescomplemented
157#2460C2214yes—
158#2460C2214yes—
159#2457C2212yes—
160#2454C2212yes—
161#2454C2212yes—
162#2454C2211yescharacteristic
163#2453C2212yescomplemented
164#2453C2212yescomplemented
165#2453C2214yescomplemented
166#2451C2212yescomplemented
167#2447C2212yes—
168#2447C2211yescharacteristic
169#2446C2212yescomplemented
170#2446C2212yescomplemented
171#2442C2211yescharacteristic
172#2442C2212yescomplemented
173#2442C2212yescomplemented
174#2440C2212yes—
175#2439C2212yescomplemented
176#2439C2212yescomplemented
177#2438C2214yes—
178#2438C2214yes—
179#2435C2212yes—
180#2435C2211yescharacteristic
181#2429C2212yescomplemented
182#2427C2212yes—
183#2427C2212yes—
184#2427C2211yescharacteristic
185#2423C2212yescomplemented
186#2421C2212yescomplemented
187#2420C2211yescharacteristic
188#2418C2212yes—
189#2417C2211yescharacteristic
190#2417C2212yescomplemented
191#2417C2212yescomplemented
192#2415C2212yes—
193#2413C2214yes—
194#2411C2214yes—
195#2408C2211yescharacteristic
196#2398C2214yes—
197#2398C2214yes—
198#2395C2212yes—
199#2392C2212yes—
200#2373C2214yescomplemented
201#2373C2214yescomplemented
202#2373C2212yescomplemented
203#2371C2212yescomplemented
204#2370C2211yescharacteristic, complemented
205#2367C2212yes—
206#2367C2212yes—
207#2367C2212yes—
208#2365C2211yescharacteristic, complemented
209#2365C2212yescomplemented
210#2363C2212yes—
211#2363C2212yes—
212#2362C2211yescharacteristic, complemented
213#2362C2212yescomplemented
214#2360C2212yes—
215#2360C2211yescharacteristic
216#2360C2212yescomplemented
217#2360C2212yescomplemented
218#2359C2212yes—
219#2356C2211yescharacteristic, complemented
220#2355C2211yescharacteristic, complemented
221#2355C2211yescharacteristic, complemented
222#2354C2211yescharacteristic
223#2354C2212yescomplemented
224#2352C2211yescharacteristic
225#2352C2212yescomplemented
226#2352C2212yescomplemented
227#2351C2212yescomplemented
228Q8×C4⋊C4C2211yescharacteristic, complemented
229D4×C4⋊C4C2211yescharacteristic
230D4×C4⋊C4C2211yescharacteristic
231D4×C4⋊C4C2211yescharacteristic
232D4×C4⋊C4C2212yes—
233D4×C4⋊C4C2211yescharacteristic
234D4×C4⋊C4C2212yes—
235D4×C4⋊C4C2212yes—
236D4×C4⋊C4C2212yes—
237D4×C4⋊C4C2214yes—
238#2346C2212yescomplemented
239#2346C2211yescharacteristic, complemented
240#2345C2212yescomplemented
241#2345C2214yescomplemented
242#2345C2212yescomplemented
243#2345C2212yescomplemented
244#2345C2214yescomplemented
245#2345C2212yescomplemented
246#2344C2212yes—
247#2344C2212yes—
248#2344C2214yes—
249#2344C2212yes—
250#2344C2212yes—
251#2344C2212yes—
252#2344C2211yescharacteristic
253#2344C2214yes—
254#2343C2212yes—
255#2343C2214yes—
256#2335C2214yescomplemented
257#2334C2214yescomplemented
258#2323C2212yescomplemented
259#2316C2212yescomplemented
260#2316C2212yescomplemented
261#2314C2212yescomplemented
262#2313C2214yescomplemented
263#2313C2214yescomplemented
264C4×C4⋊Q8C2211yescharacteristic, complemented
265C4×#125C2211yescharacteristic, complemented
266C4×#125C2212yescomplemented
267C4×#125C2212yescomplemented
268C4×#126C2212yescomplemented
269C4×#124C2212yes—
270C4×#124C2211yescharacteristic
271C4×#124C2212yes—
272C4×#124C2212yes—
273C4×#124C2212yes—
274C4×C22⋊Q8C2211yescharacteristic
275C4×C22⋊Q8C2211yescharacteristic
276C4×C22⋊Q8C2211yescharacteristic, complemented
277C4×#123C2212yes—
278C4×#121C2211yescharacteristic
279C4×#120C2212yes—
280#2295C2212yescomplemented
281#2293C2211yescharacteristic
282C2×#389C2212yes—
283C2×#385C2214yes—
284#2285C2211yescharacteristic, complemented
285C2×#384C2211yescharacteristic
286#2280C2214yes—
287#2280C2214yes—
288#2280C2212yes—
289#2280C2214yes—
290#2280C2212yes—
291C2×#380C2212yes—
292#2274C2212yescomplemented
293#2274C2212yescomplemented
294C42×Q8C2211yescharacteristic, complemented
295C42×D4C2211yescharacteristic
296C4×#117C2212yes—
297C4×#117C2211yescharacteristic, complemented
298C2×C4×C4⋊C4C2211yescharacteristic
299C23×D4C2311yescharacteristic
300C24×C4C2312yes—
301C24×C4C2314yes—
302#556—28no—
303#552—28no—
304#552—48no—
305#533—48no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310#529—28no—
311C2×#126C2312yes—
312C2×#126C2314yes—
313C2×#126C2312yes—
314C2×#126C2314yes—
315C2×#125C2311yescharacteristic
316C2×#125C2311yescharacteristic
317C2×#125C2312yes—
318C2×#125C2314yes—
319C2×#125C2312yes—
320C2×#125C2314yes—
321C2×#124C2312yes—
322C2×#124C2312yes—
323C2×#124C2311yescharacteristic
324C2×#124C2311yescharacteristic
325C2×#123C2312yes—
326C2×#123C2312yes—
327C2×#123C2314yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2311yescharacteristic
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2311yescharacteristic
332C2×C22⋊Q8C2311yescharacteristic
333C2×C22⋊Q8C2311yescharacteristic
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×#121C2311yescharacteristic
338C2×#121C2311yescharacteristic
339C2×#120C2312yes—
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2311yescharacteristic
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2314yes—
349C2×C4×D4—28no—
350C2×C4×D4—48no—
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2312yes—
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2312yes—
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2312yes—
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2314yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2314yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2311yescharacteristic
368C2×#117C2312yes—
369C2×#117C2312yes—
370C2×#117C2312yes—
371C2×#117C2311yescharacteristic
372C2×#117C2312yes—
373C2×#117C2312yes—
374C2×#117C2314yes—
375C2×#117C2312yes—
376C2×#117C2314yes—
377C2×#117C2314yes—
378C2×#117C2311yescharacteristic
379C2×#117C2312yes—
380C22×C4⋊C4—216no—
381C22×C4⋊C4C2314yes—
382C22×C4⋊C4C2312yes—
383C22×C4⋊C4C2314yes—
384C22×C4⋊C4C2312yes—
385C22×C4⋊C4C2312yes—
386C22×C4⋊C4C2312yes—
387C22×C4⋊C4C2312yes—
388C22×C4⋊C4C2314yes—
389C22×C4⋊C4C2312yes—
390C22×C4⋊C4C2311yescharacteristic
391C22×C4⋊C4C2312yes—
392C22×C4⋊C4C2311yescharacteristic
393C22×C4⋊C4C2311yescharacteristic
394C22×C22⋊C4C2312yes—
395C22×C22⋊C4C2314yes—
396C22×C42C2312yes—
397C22×C42C2311yescharacteristic
398C22×C42C2311yescharacteristic
399#401C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2312yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#399C2312yes—
419#399C2314yes—
420#399C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2312yes—
429#398C2314yes—
430#398C2312yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2312yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2312yes—
446#397C2312yes—
447#397C2312yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#396C2312yes—
453#396C2314yes—
454#396C2314yes—
455#396C2312yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#395C2314yes—
460#395C2314yes—
461#395C2314yes—
462#394C2312yes—
463#394C2312yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2312yes—
468#394C2312yes—
469#394C2312yes—
470#394C2314yes—
471#393C2314yes—
472#393C2314yes—
473#393C2314yes—
474#393C2314yes—
475#393C2314yes—
476#392C2312yes—
477#391C2312yes—
478#391C2312yes—
479#391C2312yes—
480#391C2314yes—
481#391C2314yes—
482#391C2314yes—
483#391C2312yes—
484#391C2312yes—
485#391C2312yes—
486#391C2312yes—
487#391C2312yes—
488#391C2312yes—
489#391C2312yes—
490#391C2311yescharacteristic
491#391C2311yescharacteristic
492#391C2311yescharacteristic
493#391C2311yescharacteristic
494#390C2311yescharacteristic
495#390C2311yescharacteristic
496#390C2312yes—
497#390C2312yes—
498#390C2314yes—
499#390C2314yes—
500#390C2311yescharacteristic
501#390C2311yescharacteristic
502#389C2311yescharacteristic
503#389C2312yes—
504#389C2311yescharacteristic
505#389C2312yes—
506#389C2312yes—
507#389C2312yes—
508#389C2312yes—
509#389C2312yes—
510#389C2311yescharacteristic
511#389C2311yescharacteristic
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2311yescharacteristic
517#389C2314yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2314yes—
523#389C2314yes—
524#389C2314yes—
525#389C2312yes—
526#389C2314yes—
527#389C2312yes—
528#389C2314yes—
529#389C2314yes—
530#389C2314yes—
531#389C2314yes—
532#389C2314yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2314yes—
543#389C2311yescharacteristic
544#389C2311yescharacteristic
545#389C2312yes—
546#389C2312yes—
547#389C2311yescharacteristic
548#388C2312yes—
549#388C2312yes—
550#388C2312yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2312yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2312yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2312yes—
570#388C2312yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2312yes—
577#388C2312yes—
578#388C2312yes—
579#387C2312yes—
580#387C2312yes—
581#387C2312yes—
582#387C2312yes—
583#387C2314yes—
584#387C2312yes—
585#387C2314yes—
586#387C2312yes—
587#387C2312yes—
588#387C2312yes—
589#387C2312yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2312yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2312yes—
629#387C2314yes—
630#387C2312yes—
631#387C2312yes—
632#387C2312yes—
633#386C2312yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2312yes—
639#386C2312yes—
640#386C2312yes—
641#386C2312yes—
642#385C2312yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2312yes—
655#385C2314yes—
656#385C2312yes—
657#385C2312yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2312yes—
663#385C2312yes—
664#385C2312yes—
665#384C2311yescharacteristic
666#384C2312yes—
667#384C2312yes—
668#384C2312yes—
669#384C2311yescharacteristic
670#384C2311yescharacteristic
671#384C2312yes—
672#383C2312yes—
673#383C2314yes—
674#383C2314yes—
675#382C2312yes—
676#382C2312yes—
677#382C2311yescharacteristic
678#382C2312yes—
679#382C2312yes—
680#382C2312yes—
681#382C2314yes—
682#382C2312yes—
683#382C2312yes—
684#382C2314yes—
685#382C2311yescharacteristic
686#381C2314yes—
687#381C2314yes—
688#381C2314yes—
689#381C2314yes—
690#381C2312yes—
691#381C2312yes—
692#381C2314yes—
693#381C2314yes—
694#381C2314yes—
695#381C2312yes—
696#380C2314yes—
697#380C2314yes—
698#380C2314yes—
699#380C2314yes—
700#380C2314yes—
701#380C2314yes—
702#380C2314yes—
703#380C2314yes—
704#380C2311yescharacteristic
705#380C2312yes—
706#380C2312yes—
707#380C2312yes—
708#380C2314yes—
709#380C2314yes—
710#380C2312yes—
711#380C2312yes—
712#380C2314yes—
713#380C2314yes—
714#380C2314yes—
715#380C2312yes—
716#380C2312yes—
717#380C2312yes—
718#380C2312yes—
719#380C2311yescharacteristic
720#380C2311yescharacteristic
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2314yes—
731#380C2311yescharacteristic
732#379C2312yes—
733#379C2312yes—
734#379C2314yes—
735#379C2314yes—
736#379C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C22⋊C4C2311yescharacteristic
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2311yescharacteristic
809#376C2314yes—
810#376C2312yes—
811#376C2312yes—
812#376C2312yes—
813C2×#95C2312yes—
814C2×#95C2314yes—
815C43C2312yes—
816C43C2312yes—
817C43C2311yescharacteristic
818C25C2412yes—
819C22×Q8C2411yescharacteristic
820C22×Q8C2411yescharacteristic
821C22×Q8C2412yes—
822C22×Q8C2414yes—
823C22×D4—24no—
824C22×D4—24no—
825C22×D4—24no—
826C22×D4C2412yes—
827C22×D4C2411yescharacteristic
828C22×D4C2411yescharacteristic
829C22×D4C2411yescharacteristic
830C22×D4C2412yes—
831C22×D4C2412yes—
832C23×C4—28no—
833C23×C4—28no—
834C23×C4—216no—
835C23×C4—44no—
836C23×C4—48no—
837C23×C4—48no—
838C23×C4C2414yes—
839C23×C4C2412yes—
840C23×C4C2411yescharacteristic
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C23×C4C2412yes—
844C23×C4C2412yes—
845C23×C4C2412yes—
846C23×C4C2411yescharacteristic
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2411yescharacteristic
850C23×C4C2412yes—
851C23×C4C2414yes—
852C23×C4C2414yes—
853C23×C4C2414yes—
854C23×C4C2414yes—
855C23×C4C2411yescharacteristic
856C4⋊Q8—24no—
857C4⋊Q8—44no—
858C4⋊Q8—44no—
859C4⋊Q8—44no—
860#126—28no—
861#126—28no—
862#126—216no—
863#126—48no—
864#125—24no—
865#125—28no—
866#125—24no—
867#125—48no—
868#125—44no—
869#125—48no—
870#124—24no—
871#124—28no—
872#124—28no—
873#124—24no—
874#123—28no—
875#123—28no—
876#123—48no—
877C22⋊Q8—24no—
878C22⋊Q8—28no—
879C22⋊Q8—24no—
880C22⋊Q8—28no—
881C22⋊Q8—24no—
882C22⋊Q8—24no—
883C22⋊Q8—48no—
884C22⋊Q8—44no—
885C22⋊Q8—44no—
886#121—24no—
887#121—24no—
888#120—44no—
889C4×Q8—24no—
890C4×Q8—28no—
891C4×Q8—24no—
892C4×Q8—24no—
893C4×Q8—48no—
894C4×Q8—42no—
895C4×Q8—44no—
896C4×Q8—44no—
897C4×Q8—44no—
898C4×D4—24no—
899C4×D4—28no—
900C4×D4—28no—
901C4×D4—24no—
902C4×D4—24no—
903C4×D4—24no—
904C4×D4—28no—
905C4×D4—24no—
906C4×D4—44no—
907C4×D4—44no—
908C4×D4—48no—
909C4×D4—48no—
910C4×D4—44no—
911C4×D4—44no—
912C4×D4—44no—
913C4×D4—42no—
914C4×D4#4118yes—
915#117—28no—
916#117—28no—
917#117—28no—
918#117—24no—
919#117—44no—
920#117—44no—
921#117—48no—
922#117—48no—
923#117—48no—
924#117—42no—
925#117—44no—
926#117—44no—
927C2×C4⋊C4—216no—
928C2×C4⋊C4—28no—
929C2×C4⋊C4—28no—
930C2×C4⋊C4—28no—
931C2×C4⋊C4—28no—
932C2×C4⋊C4—28no—
933C2×C4⋊C4—28no—
934C2×C4⋊C4—216no—
935C2×C4⋊C4—216no—
936C2×C4⋊C4—24no—
937C2×C4⋊C4—42no—
938C2×C4⋊C4—44no—
939C2×C4⋊C4#4118yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C22⋊C4—28no—
1013C2×C22⋊C4—48no—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2411yescharacteristic
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2411yescharacteristic
1020C2×C22⋊C4C2411yescharacteristic
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2411yescharacteristic
1032C2×C22⋊C4C2411yescharacteristic
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2411yescharacteristic
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C42—28no—
1064C2×C42—24no—
1065C2×C42—24no—
1066C2×C42C2411yescharacteristic
1067C2×C42C2412yes—
1068C2×C42C2411yescharacteristic
1069C2×C42C2412yes—
1070C2×C42C2412yes—
1071C2×C42C2412yes—
1072C2×C42C2414yes—
1073C2×C42C2412yes—
1074C2×C42C2412yes—
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081C2×C42C2411yescharacteristic
1082C2×C42C2412yes—
1083C2×C42C2411yescharacteristic
1084C2×C42C2411yescharacteristic
1085C2×C42C2412yes—
1086C2×C42C2411yescharacteristic
1087C2×C42C2414yes—
1088C2×C42C2414yes—
1089C2×C42C2414yes—
1090C2×C42C2414yes—
1091C2×C42C2412yes—
1092C2×C42C2412yes—
1093C2×C42C2412yes—
1094C2×C42C2414yes—
1095C2×C42C2414yes—
1096C2×C42C2414yes—
1097C2×C42C2411yescharacteristic
1098C2×C42C2412yes—
1099C2×C42C2412yes—
1100C2×C42C2411yescharacteristic
1101C2×C42C2412yes—
1102C2×C42C2411yescharacteristic
1103#95C2412yes—
1104#95C2414yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2411yescharacteristic
1112#95C2411yescharacteristic
1113#95C2412yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2411yescharacteristic
1128#95C2411yescharacteristic
1129#95C2412yes—
1130#95C2412yes—
1131#95C2411yescharacteristic
1132#95C2411yescharacteristic
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2412yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179C24—24no—
1180C24—24no—
1181C24—24no—
1182C24—24no—
1183C24—24no—
1184C24—42no—
1185C24—42no—
1186C24C2511yescharacteristic
1187C24C2512yes—
1188C24C2512yes—
1189C24C2511yescharacteristic
1190C2×Q8—22no—
1191C2×Q8—22no—
1192C2×Q8—22no—
1193C2×Q8—24no—
1194C2×Q8—24no—
1195C2×Q8—22no—
1196C2×Q8—22no—
1197C2×Q8—24no—
1198C2×Q8—22no—
1199C2×Q8—44no—
1200C2×Q8—44no—
1201C2×Q8—44no—
1202C2×D4—232no—
1203C2×D4—24no—
1204C2×D4—24no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—24no—
1209C2×D4—24no—
1210C2×D4—22no—
1211C2×D4—24no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—42no—
1216C2×D4—42no—
1217C2×D4—42no—
1218C2×D4—42no—
1219C2×D4C2×#4114yes—
1220C2×D42−1+414yes—
1221C22×C4—24no—
1222C22×C4—24no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—24no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—24no—
1229C22×C4—24no—
1230C22×C4—28no—
1231C22×C4—24no—
1232C22×C4—28no—
1233C22×C4—22no—
1234C22×C4—28no—
1235C22×C4—24no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—24no—
1240C22×C4—24no—
1241C22×C4—24no—
1242C22×C4—24no—
1243C22×C4—22no—
1244C22×C4—24no—
1245C22×C4—24no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—24no—
1250C22×C4—22no—
1251C22×C4—28no—
1252C22×C4—28no—
1253C22×C4—28no—
1254C22×C4—28no—
1255C22×C4—42no—
1256C22×C4—42no—
1257C22×C4—42no—
1258C22×C4—41no—
1259C22×C4—432no—
1260C22×C4—42no—
1261C22×C4—44no—
1262C22×C4—44no—
1263C22×C4—44no—
1264C22×C4—44no—
1265C22×C4—41no—
1266C22×C4—44no—
1267C22×C4—44no—
1268C22×C4—44no—
1269C22×C4—44no—
1270C22×C4—41no—
1271C22×C4—42no—
1272C22×C4—832no—
1273C22×C4C2×#4118yes—
1274C22×C4C2×#4114yes—
1275C22×C4C2×#4118yes—
1276C22×C4H(5,𝔽2)14yes—
1277C22×C4C2511yescharacteristic
1278C22×C4C2512yes—
1279C22×C4C2512yes—
1280C22×C4C2512yes—
1281C22×C4C2511yescharacteristic
1282C22×C4C2512yes—
1283C22×C4C2511yescharacteristic
1284C22×C4C2512yes—
1285C22×C4C2511yescharacteristic
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2511yescharacteristic
1289C22×C4C2511yescharacteristic
1290C22×C4C2514yes—
1291C22×C4C2512yes—
1292C22×C4C2512yes—
1293C22×C4C2514yes—
1294C22×C4C2512yes—
1295C22×C4C2514yes—
1296C22×C4C2512yes—
1297C22×C4C2514yes—
1298C22×C4C2511yescharacteristic
1299C22×C4C2511yescharacteristic
1300C22×C4C2511yescharacteristic
1301C22×C4C2512yes—
1302C22×C4C2511yescharacteristic
1303C22×C4C2512yes—
1304C22×C4C2512yes—
1305C22×C4C2511yescharacteristic
1306C22×C4C2511yescharacteristic
1307C22×C4C2511yescharacteristic
1308C4⋊C4—28no—
1309C4⋊C4—28no—
1310C4⋊C4—28no—
1311C4⋊C4—28no—
1312C4⋊C4—28no—
1313C4⋊C4—24no—
1314C4⋊C4—24no—
1315C4⋊C4—24no—
1316C4⋊C4—22no—
1317C4⋊C4—22no—
1318C4⋊C4—24no—
1319C4⋊C4—22no—
1320C4⋊C4—24no—
1321C4⋊C4—24no—
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—22no—
1325C4⋊C4—24no—
1326C4⋊C4—22no—
1327C4⋊C4—28no—
1328C4⋊C4—24no—
1329C4⋊C4—24no—
1330C4⋊C4—24no—
1331C4⋊C4—24no—
1332C4⋊C4—24no—
1333C4⋊C4—24no—
1334C4⋊C4—24no—
1335C4⋊C4—24no—
1336C4⋊C4—28no—
1337C4⋊C4—24no—
1338C4⋊C4—22no—
1339C4⋊C4—24no—
1340C4⋊C4—22no—
1341C4⋊C4—28no—
1342C4⋊C4—22no—
1343C4⋊C4—22no—
1344C4⋊C4—22no—
1345C4⋊C4—22no—
1346C4⋊C4—24no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—44no—
1351C4⋊C4—42no—
1352C4⋊C4—44no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—42no—
1367C4⋊C4—41no—
1368C4⋊C4—42no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4C2×#4114yes—
1377C4⋊C4C2×#4114yes—
1378C4⋊C4C2×#4118yes—
1379C4⋊C4C2×#4114yes—
1380C22⋊C4—24no—
1381C22⋊C4—22no—
1382C22⋊C4—24no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—28no—
1386C22⋊C4—24no—
1387C22⋊C4—28no—
1388C22⋊C4—22no—
1389C22⋊C4—24no—
1390C22⋊C4—28no—
1391C22⋊C4—24no—
1392C22⋊C4—28no—
1393C22⋊C4—24no—
1394C22⋊C4—24no—
1395C22⋊C4—28no—
1396C22⋊C4—24no—
1397C22⋊C4—22no—
1398C22⋊C4—24no—
1399C22⋊C4—24no—
1400C22⋊C4—24no—
1401C22⋊C4—24no—
1402C22⋊C4—24no—
1403C22⋊C4—22no—
1404C22⋊C4—24no—
1405C22⋊C4—22no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—42no—
1411C22⋊C4—42no—
1412C22⋊C4—44no—
1413C22⋊C4—42no—
1414C22⋊C4—44no—
1415C22⋊C4—42no—
1416C22⋊C4—42no—
1417C22⋊C4—42no—
1418C22⋊C4—42no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—42no—
1422C22⋊C4—42no—
1423C22⋊C4—41no—
1424C22⋊C4—42no—
1425C22⋊C4—42no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4C2×#4118yes—
1429C42—22no—
1430C42—22no—
1431C42—22no—
1432C42—22no—
1433C42—22no—
1434C42—22no—
1435C42—24no—
1436C42—24no—
1437C42—28no—
1438C42—24no—
1439C42—22no—
1440C42—24no—
1441C42—24no—
1442C42—24no—
1443C42—24no—
1444C42—24no—
1445C42—22no—
1446C42—22no—
1447C42—24no—
1448C42—22no—
1449C42—24no—
1450C42—41no—
1451C42—42no—
1452C42—42no—
1453C42—44no—
1454C42—42no—
1455C42—42no—
1456C42—44no—
1457C42—44no—
1458C42—42no—
1459C42—44no—
1460C42—44no—
1461C42—44no—
1462C42—44no—
1463C42—41no—
1464C42—42no—
1465C42C2×#4114yes—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—216no—
1471C23—22no—
1472C23—22no—
1473C23—22no—
1474C23—22no—
1475C23—22no—
1476C23—22no—
1477C23—22no—
1478C23—22no—
1479C23—22no—
1480C23—22no—
1481C23—22no—
1482C23—22no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—48no—
1491C23—48no—
1492C23—48no—
1493C23—48no—
1494C23—48no—
1495C23—48no—
1496C23C22×#4114yes—
1497C23C22×#4112yes—
1498C23C2×H(5,𝔽2)12yes—
1499C23C2×2−1+414yes—
1500C23#58512yes—
1501C23C2611yescharacteristic
1502Q8—44no—
1503Q8—44no—
1504Q8—48no—
1505Q8—88no—
1506D4—216no—
1507D4—28no—
1508D4—28no—
1509D4—44no—
1510D4—84no—
1511D4—84no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—21no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—21no—
1521C2×C4—22no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—216no—
1525C2×C4—28no—
1526C2×C4—216no—
1527C2×C4—28no—
1528C2×C4—22no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—24no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—21no—
1542C2×C4—22no—
1543C2×C4—24no—
1544C2×C4—24no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—24no—
1552C2×C4—24no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—24no—
1556C2×C4—24no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—21no—
1560C2×C4—22no—
1561C2×C4—21no—
1562C2×C4—22no—
1563C2×C4—24no—
1564C2×C4—22no—
1565C2×C4—21no—
1566C2×C4—22no—
1567C2×C4—21no—
1568C2×C4—22no—
1569C2×C4—21no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—22no—
1578C2×C4—24no—
1579C2×C4—21no—
1580C2×C4—24no—
1581C2×C4—22no—
1582C2×C4—21no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—24no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—21no—
1592C2×C4—24no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—21no—
1597C2×C4—48no—
1598C2×C4—44no—
1599C2×C4—48no—
1600C2×C4—48no—
1601C2×C4—416no—
1602C2×C4—44no—
1603C2×C4—48no—
1604C2×C4—44no—
1605C2×C4—82no—
1606C2×C4—88no—
1607C2×C4—88no—
1608C2×C4—88no—
1609C2×C4—88no—
1610C2×C4—84no—
1611C2×C4C22×#4112yes—
1612C2×C4C22×#4114yes—
1613C2×C4C22×#4114yes—
1614C2×C4C22×#4114yes—
1615C2×C4C22×#4112yes—
1616C2×C4C22×#4112yes—
1617C2×C4C22×#4112yes—
1618C2×C4C22×#4112yes—
1619C2×C4C2×H(5,𝔽2)12yes—
1620C2×C4C2×H(5,𝔽2)12yes—
1621C2×C4C2×2−1+412yes—
1622C2×C4#58512yes—
1623C22—22no—
1624C22—22no—
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—22no—
1629C22—24no—
1630C22—24no—
1631C22—24no—
1632C22—24no—
1633C22—24no—
1634C22—24no—
1635C22—432no—
1636C22—42no—
1637C22—42no—
1638C22—42no—
1639C22—42no—
1640C22—42no—
1641C22—42no—
1642C22—42no—
1643C22—42no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22#351414yes—
1652C22C23×#4111yescharacteristic
1653C22C23×#4111yescharacteristic
1654C22C22×H(5,𝔽2)11yescharacteristic
1655C22C22×2−1+411yescharacteristic
1656C22C2×#58511yescharacteristic
1657C22C2×#58511yescharacteristic
1658C222−1+611yescharacteristic
1659C4—22no—
1660C4—22no—
1661C4—24no—
1662C4—24no—
1663C4—22no—
1664C4—24no—
1665C4—42no—
1666C4—41no—
1667C4—41no—
1668C4—42no—
1669C4—41no—
1670C4—42no—
1671C4—41no—
1672C4—42no—
1673C4—42no—
1674C4—41no—
1675C4—42no—
1676C4—44no—
1677C4—44no—
1678C4—44no—
1679C4—41no—
1680C4—41no—
1681C4—42no—
1682C4—42no—
1683C4—44no—
1684C4—42no—
1685C4—41no—
1686C4—42no—
1687C4—42no—
1688C4#347514yes—
1689C4#349214yes—
1690C2—24no—
1691C2—44no—
1692C2—44no—
1693C2—81no—
1694C2C2×#347511yescharacteristic
1695C2C2×#349211yescharacteristic
1696C2C2×#351411yescharacteristic
1697C2#6292511yescharacteristic
1698C2#6299311yescharacteristic
1699C2#6299811yescharacteristic
1700C2#6302311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2408C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #59575C2semidirect
2. #59462C2semidirect
3. #59437C2semidirect
4. #59329C2semidirect
5. #59230C2semidirect
6. #59203C2semidirect
7. #59194C2semidirect
8. #59111C2semidirect
9. #44977C2semidirect
10. #44919C2semidirect
11. #43682C2semidirect
12. #43673C2semidirect
13. #39035C2semidirect
14. #39025C2semidirect
15. #38967C2semidirect
16. #38923C2semidirect
17. #38399C2semidirect
18. #37853C2semidirect
19. #36555C2semidirect
20. #36449C2semidirect
21. #36307C2semidirect
22. #36181C2semidirect
23. #36163C2semidirect
25. #36161C2semidirect
26. #36133C2semidirect
27. #35770C2semidirect
28. #35726C2semidirect
29. #34946C2semidirect
31. #34322C2semidirect
32. #34242C2semidirect
33. #34178C2semidirect
34. C4×#552C2semidirect
35. C2×D4×C4⋊C4C2semidirect
44. #2864C22semidirect
45. #2863C22semidirect
46. #2859C22semidirect
48. #2857C22semidirect
52. #2794C22semidirect
53. #2788C22semidirect
54. #2787C22semidirect
55. #2786C22semidirect
56. #2784C22semidirect
57. #2779C22semidirect
58. #2770C22semidirect
59. #2768C22semidirect
60. #2747C22semidirect
61. #2747C22semidirect
62. #2747C22semidirect
63. #2745C22semidirect
64. #2744C22semidirect
65. #2742C22semidirect
66. #2742C22semidirect
67. #2738C22semidirect
68. #2737C22semidirect
69. #2725C22semidirect
70. #2722C22semidirect
71. #2719C22semidirect
72. #2695C22semidirect
73. #2653C22semidirect
74. #2652C22semidirect
75. #2628C22semidirect
76. #2625C22semidirect
77. #2595C22semidirect
78. #2590C22semidirect
79. #2589C22semidirect
80. #2587C22semidirect
81. #2582C22semidirect
82. #2578C22semidirect
83. #2577C22semidirect
84. #2577C22semidirect
85. #2574C22semidirect
86. #2574C22semidirect
87. #2574C22semidirect
88. #2571C22semidirect
89. #2570C22semidirect
90. #2570C22semidirect
91. #2565C22semidirect
94. #2563C22semidirect
99. #2551C22semidirect
100. #2550C22semidirect
104. #2546C22semidirect
106. #2533C22semidirect
107. #2533C22semidirect
108. #2531C22semidirect
109. #2530C22semidirect
110. #2530C22semidirect
111. #2528C22semidirect
112. #2523C22semidirect
113. #2522C22semidirect
114. #2522C22semidirect
115. #2517C22semidirect
116. #2514C22semidirect
117. #2511C22semidirect
118. #2511C22semidirect
119. #2509C22semidirect
120. #2508C22semidirect
121. #2506C22semidirect
122. #2506C22semidirect
123. #2506C22semidirect
127. #2499C22semidirect
128. #2497C22semidirect
129. #2496C22semidirect
130. #2496C22semidirect
131. #2495C22semidirect
132. #2495C22semidirect
133. #2494C22semidirect
135. #2492C22semidirect
140. #2485C22semidirect
141. #2485C22semidirect
145. #2481C22semidirect
146. #2481C22semidirect
149. #2473C22semidirect
150. #2473C22semidirect
151. #2469C22semidirect
156. #2462C22semidirect
163. #2453C22semidirect
164. #2453C22semidirect
165. #2453C22semidirect
166. #2451C22semidirect
169. #2446C22semidirect
170. #2446C22semidirect
172. #2442C22semidirect
173. #2442C22semidirect
175. #2439C22semidirect
176. #2439C22semidirect
181. #2429C22semidirect
185. #2423C22semidirect
186. #2421C22semidirect
190. #2417C22semidirect
191. #2417C22semidirect
200. #2373C22semidirect
201. #2373C22semidirect
202. #2373C22semidirect
203. #2371C22semidirect
204. #2370C22semidirect
208. #2365C22semidirect
209. #2365C22semidirect
212. #2362C22semidirect
213. #2362C22semidirect
216. #2360C22semidirect
217. #2360C22semidirect
219. #2356C22semidirect
220. #2355C22semidirect
221. #2355C22semidirect
223. #2354C22semidirect
225. #2352C22semidirect
226. #2352C22semidirect
227. #2351C22semidirect
228. Q8×C4⋊C4C22semidirect
238. #2346C22semidirect
239. #2346C22semidirect
240. #2345C22semidirect
241. #2345C22semidirect
242. #2345C22semidirect
243. #2345C22semidirect
244. #2345C22semidirect
245. #2345C22semidirect
256. #2335C22semidirect
257. #2334C22semidirect
258. #2323C22semidirect
259. #2316C22semidirect
260. #2316C22semidirect
261. #2314C22semidirect
262. #2313C22semidirect
263. #2313C22semidirect
264. C4×C4⋊Q8C22semidirect
265. C4×#125C22semidirect
266. C4×#125C22semidirect
267. C4×#125C22semidirect
268. C4×#126C22semidirect
276. C4×C22⋊Q8C22semidirect
280. #2295C22semidirect
284. #2285C22semidirect
292. #2274C22semidirect
293. #2274C22semidirect
294. C42×Q8C22semidirect
297. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#595752
#594622
#594372
#593292
#592302
#592032
#591942
#591112
#449772
#449192
#436822
#436732
#390352
#390252
#389672
#389232
#383992
#378532
#365552
#364492
#363072
#361812
#361632
#361622
#361612
#361332
#357702
#357262
#349462
#347002
#343222
#342422
#341782
C4×#5522
C2×D4×C4⋊C42