Finite Group Databasebeta

← #7654472

Subgroups — #7654472

Order 512.

5288 conjugacy classes of subgroups.

The subgroup lattice has 1728 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42756C212yesmaximal, complemented
2#42754C212yesmaximal, complemented
3#41451C214yesmaximal, complemented
4#40892C214yesmaximal, complemented
5#40222C212yesmaximal, complemented
6#39657C212yesmaximal, complemented
7#39505C211yesmaximal, characteristic, complemented
8#39200C211yesmaximal, characteristic, complemented
9#39159C211yesmaximal, characteristic, complemented
10#38940C211yesmaximal, characteristic, complemented
11#38606C214yesmaximal, complemented
12#38170C214yesmaximal, complemented
13#38111C212yesmaximal, complemented
14#37853C212yesmaximal, complemented
15#37704C212yesmaximal, complemented
16#37665C212yesmaximal, complemented
17#37631C211yesmaximal, characteristic, complemented
18#37494C212yesmaximal, complemented
19#36303C211yesmaximal, characteristic, complemented
20#36274C212yesmaximal, complemented
21#36216C212yesmaximal, complemented
22#36153C211yesmaximal, characteristic
23D4×C4⋊Q8C211yesmaximal, characteristic, complemented
24D4×C22⋊Q8C211yesmaximal, characteristic, complemented
25#35939C212yesmaximal, complemented
26#35888C212yesmaximal, complemented
27#35283C211yesmaximal, characteristic, complemented
28#35228C212yesmaximal, complemented
29#35170C211yesmaximal, characteristic, complemented
30#35080C212yesmaximal, complemented
31#34969C211yesmaximal, characteristic, complemented
32C2×#2492C212yesmaximal, complemented
33#34334C211yesmaximal, characteristic, complemented
34C4×#547C211yesmaximal, characteristic, complemented
35#34126C211yesmaximal, characteristic, complemented
36C2×D4×Q8C2211yescharacteristic
37C2×D4×Q8C2212yes—
38C2×#547C2211yescharacteristic
39C2×#546C2212yes—
40C2×#542C2212yescomplemented
41C22×C4⋊Q8C2212yescomplemented
42C22×C22⋊Q8C2212yes—
43C2×C4×#41C2212yes—
44C22×C4×D4C2211yescharacteristic
45#2868C2211yescharacteristic, complemented
46#2862C2211yescharacteristic, complemented
47#2857C2211yescharacteristic
48#2857C2211yescharacteristic
49#2857C2212yescomplemented
50#2857C2212yescomplemented
51#2855C2214yescomplemented
52#2854C2212yes—
53#2853C2214yes—
54#2850C2212yescomplemented
55#2848C2212yes—
56#2847C2212yes—
57#2838C2214yescomplemented
58#2832C2214yescomplemented
59#2831C2214yescomplemented
60#2799C2214yescomplemented
61#2798C2214yescomplemented
62#2795C2214yescomplemented
63#2775C2214yescomplemented
64#2773C2214yescomplemented
65#2759C2214yescomplemented
66#2758C2214yescomplemented
67#2755C2214yescomplemented
68#2754C2214yescomplemented
69#2747C2214yes—
70#2745C2214yes—
71#2745C2214yescomplemented
72#2742C2214yes—
73#2738C2214yescomplemented
74#2737C2214yes—
75#2731C2214yescomplemented
76#2731C2214yescomplemented
77#2729C2214yescomplemented
78#2716C2214yescomplemented
79#2702C2214yes—
80#2700C2214yescomplemented
81#2692C2214yes—
82#2687C2214yescomplemented
83#2674C2214yescomplemented
84#2665C2214yescomplemented
85#2663C2214yescomplemented
86#2655C2214yescomplemented
87#2653C2214yes—
88#2653C2214yescomplemented
89#2650C2214yescomplemented
90#2650C2214yescomplemented
91#2649C2214yescomplemented
92#2647C2212yescomplemented
93#2645C2212yescomplemented
94#2645C2212yescomplemented
95#2643C2214yescomplemented
96#2640C2212yes—
97#2640C2212yescomplemented
98#2639C2214yes—
99#2628C2212yes—
100#2628C2212yescomplemented
101#2625C2212yescomplemented
102#2625C2212yescomplemented
103#2620C2212yescomplemented
104#2592C2212yes—
105#2582C2212yescomplemented
106#2568C2212yescomplemented
107#2568C2211yescharacteristic, complemented
108#2563C2212yes—
109#2561C2214yes—
110#2551C2212yescomplemented
111#2551C2211yescharacteristic, complemented
112#2551C2211yescharacteristic, complemented
113#2547C2211yescharacteristic
114#2547C2211yescharacteristic, complemented
115#2546C2212yescomplemented
116#2542C2211yescharacteristic
117#2538C2211yescharacteristic
118#2537C2211yescharacteristic
119#2530C2212yescomplemented
120#2527C2212yescomplemented
121#2525C2214yescomplemented
122#2521C2214yescomplemented
123#2520C2214yescomplemented
124#2514C2212yescomplemented
125#2511C2212yescomplemented
126#2511C2212yescomplemented
127#2511C2212yescomplemented
128#2511C2211yescharacteristic, complemented
129#2510C2214yescomplemented
130#2509C2211yescharacteristic, complemented
131#2503C2212yescomplemented
132#2500C2212yes—
133#2498C2214yes—
134#2497C2212yescomplemented
135#2496C2212yescomplemented
136#2495C2212yes—
137#2495C2212yescomplemented
138#2494C2211yescharacteristic
139#2494C2212yescomplemented
140#2493C2214yescomplemented
141#2493C2214yescomplemented
142#2493C2214yescomplemented
143#2492C2212yes—
144#2492C2214yes—
145#2492C2212yes—
146#2492C2214yes—
147#2492C2212yes—
148#2492C2212yes—
149#2492C2212yes—
150#2492C2211yescharacteristic
151#2492C2212yescomplemented
152#2492C2214yescomplemented
153#2492C2212yescomplemented
154#2492C2214yescomplemented
155#2492C2212yescomplemented
156#2492C2212yescomplemented
157#2492C2212yescomplemented
158#2492C2212yescomplemented
159#2491C2212yes—
160#2491C2212yes—
161#2491C2212yescomplemented
162#2488C2214yes—
163#2488C2214yes—
164#2488C2214yescomplemented
165#2488C2214yescomplemented
166#2486C2212yes—
167#2485C2212yes—
168#2482C2214yes—
169#2481C2214yescomplemented
170#2481C2214yescomplemented
171#2477C2212yes—
172#2472C2214yes—
173#2472C2214yes—
174#2470C2212yes—
175#2452C2212yes—
176#2452C2211yescharacteristic, complemented
177#2451C2212yescomplemented
178#2451C2212yescomplemented
179#2451C2212yescomplemented
180#2450C2214yescomplemented
181#2450C2214yescomplemented
182#2449C2214yes—
183#2448C2212yes—
184#2448C2212yes—
185#2447C2211yescharacteristic, complemented
186#2444C2214yes—
187#2443C2214yes—
188#2440C2212yes—
189#2440C2214yescomplemented
190#2440C2212yescomplemented
191#2440C2212yescomplemented
192#2439C2212yescomplemented
193#2439C2212yescomplemented
194#2438C2214yescomplemented
195#2438C2214yescomplemented
196#2437C2214yes—
197#2436C2214yes—
198#2436C2212yescomplemented
199#2434C2214yescomplemented
200#2427C2212yes—
201#2427C2211yescharacteristic
202#2427C2212yescomplemented
203#2426C2212yes—
204#2425C2214yes—
205#2423C2212yes—
206#2423C2212yes—
207#2423C2212yescomplemented
208#2422C2211yescharacteristic
209#2421C2212yes—
210#2418C2214yes—
211#2418C2214yes—
212#2417C2212yes—
213#2417C2212yes—
214#2417C2214yescomplemented
215#2416C2212yes—
216#2412C2214yes—
217#2409C2212yes—
218#2409C2214yescomplemented
219#2401C2212yescomplemented
220#2398C2212yes—
221C2×#400C2214yescomplemented
222C2×#393C2214yes—
223#2369C2212yescomplemented
224#2368C2214yescomplemented
225#2365C2211yescharacteristic, complemented
226#2365C2211yescharacteristic, complemented
227#2362C2212yescomplemented
228#2361C2212yescomplemented
229#2360C2212yescomplemented
230#2359C2214yescomplemented
231#2357C2211yescharacteristic
232#2357C2211yescharacteristic
233#2355C2211yescharacteristic, complemented
234#2354C2211yescharacteristic, complemented
235#2353C2212yes—
236#2353C2212yes—
237#2349C2212yes—
238#2349C2211yescharacteristic
239#2349C2211yescharacteristic
240D4×C4⋊C4C2211yescharacteristic
241D4×C4⋊C4C2212yes—
242D4×C4⋊C4C2211yescharacteristic
243D4×C4⋊C4C2212yes—
244#2345C2211yescharacteristic
245#2345C2211yescharacteristic
246#2344C2212yescomplemented
247#2342C2212yes—
248#2342C2212yes—
249Q8×C22⋊C4C2212yescomplemented
250#2339C2212yes—
251#2339C2212yes—
252#2339C2212yes—
253#2339C2212yes—
254D4×C22⋊C4C2211yescharacteristic
255D4×C22⋊C4C2211yescharacteristic
256D4×C22⋊C4C2212yes—
257#2337C2214yescomplemented
258#2335C2214yes—
259#2331C2212yescomplemented
260#2331C2212yescomplemented
261#2331C2212yescomplemented
262#2329C2214yescomplemented
263#2323C2212yescomplemented
264#2323C2212yescomplemented
265#2320C2212yescomplemented
266#2314C2212yes—
267#2314C2212yescomplemented
268C4×C4⋊Q8C2211yescharacteristic, complemented
269C4×C4⋊Q8C2211yescharacteristic, complemented
270C4×C4⋊Q8C2211yescharacteristic, complemented
271C4×#124C2211yescharacteristic, complemented
272C4×C22⋊Q8C2211yescharacteristic
273C4×C22⋊Q8C2212yescomplemented
274C4×C22⋊Q8C2212yescomplemented
275C4×C22⋊Q8C2212yescomplemented
276C4×#123C2212yes—
277C4×#123C2214yescomplemented
278C4×#121C2211yescharacteristic
279C4×#121C2212yescomplemented
280#2295C2211yescharacteristic, complemented
281C2×#391C2212yescomplemented
282C2×#391C2214yescomplemented
283C2×#391C2212yescomplemented
284#2293C2211yescharacteristic
285#2293C2211yescharacteristic
286#2290C2212yes—
287#2290C2212yes—
288C2×#388C2214yes—
289#2283C2211yescharacteristic
290#2280C2212yes—
291C2×#380C2212yes—
292#2275C2212yes—
293C42×D4C2211yescharacteristic
294C42×D4C2211yescharacteristic
295C42×D4C2211yescharacteristic, complemented
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2212yescomplemented
298C2×C4×C22⋊C4C2212yes—
299C22×#41C2312yes—
300C23×Q8C2312yes—
301C23×Q8C2314yes—
302C23×D4C2311yescharacteristic
303C24×C4C2312yes—
304D4×Q8—28no—
305D4×Q8—48no—
306#547—28no—
307#546—48no—
308#542—48no—
309C2×C4⋊Q8—48no—
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2312yes—
318C2×C4⋊Q8C2312yes—
319C2×C4⋊Q8C2312yes—
320C2×C4⋊Q8C2312yes—
321C2×C4⋊Q8C2314yes—
322C2×C4⋊Q8C2314yes—
323C2×#126C2314yes—
324C2×#124C2312yes—
325C2×#124C2314yes—
326C2×#124C2312yes—
327C2×#124C2311yescharacteristic
328C2×#124C2314yes—
329C2×#123C2312yes—
330C2×#123C2314yes—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×C22⋊Q8—48no—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2314yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2314yes—
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2314yes—
349C2×C22⋊Q8C2314yes—
350C2×#121C2312yes—
351C2×#121C2311yescharacteristic
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2314yes—
355C2×#120C2314yes—
356C4×#41—48no—
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×D4—28no—
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2312yes—
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2312yes—
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2312yes—
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2312yes—
379C2×C4×D4C2314yes—
380C2×C4×D4C2314yes—
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2311yescharacteristic
383C2×#117C2311yescharacteristic
384C2×#117C2312yes—
385C2×#117C2312yes—
386C2×#117C2311yescharacteristic
387C2×#117C2314yes—
388C2×#117C2312yes—
389C22×C4⋊C4C2312yes—
390C22×C4⋊C4C2311yescharacteristic
391C22×C4⋊C4C2312yes—
392C22×C4⋊C4C2312yes—
393C22×C4⋊C4C2314yes—
394C22×C4⋊C4C2314yes—
395C22×C22⋊C4C2312yes—
396C22×C22⋊C4C2312yes—
397C22×C22⋊C4C2314yes—
398C22×C22⋊C4C2312yes—
399C22×C22⋊C4C2314yes—
400C22×C42C2311yescharacteristic
401C22×C42C2312yes—
402C22×C42C2314yes—
403C22×C42C2312yes—
404C22×C42C2312yes—
405#401C2314yes—
406#401C2314yes—
407#401C2312yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2312yes—
421#400C2314yes—
422#400C2314yes—
423#400C2314yes—
424#400C2314yes—
425#400C2314yes—
426#400C2312yes—
427#400C2314yes—
428#400C2312yes—
429#400C2312yes—
430#400C2314yes—
431#400C2312yes—
432#399C2314yes—
433#399C2314yes—
434#399C2314yes—
435#399C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#397C2312yes—
446#397C2314yes—
447#397C2312yes—
448#397C2314yes—
449#397C2314yes—
450#397C2312yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2312yes—
458#397C2314yes—
459#397C2314yes—
460#397C2312yes—
461#397C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2312yes—
469#395C2314yes—
470#395C2314yes—
471#395C2314yes—
472#395C2314yes—
473#395C2314yes—
474#395C2314yes—
475#395C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2312yes—
482#394C2314yes—
483#394C2312yes—
484#394C2314yes—
485#393C2314yes—
486#393C2314yes—
487#393C2314yes—
488#393C2314yes—
489#393C2314yes—
490#393C2314yes—
491#393C2314yes—
492#393C2314yes—
493#393C2314yes—
494#393C2314yes—
495#393C2312yes—
496#393C2314yes—
497#393C2314yes—
498#393C2314yes—
499#393C2314yes—
500#393C2312yes—
501#391C2312yes—
502#391C2312yes—
503#391C2312yes—
504#391C2312yes—
505#391C2314yes—
506#391C2312yes—
507#391C2312yes—
508#391C2312yes—
509#391C2314yes—
510#391C2314yes—
511#391C2312yes—
512#391C2312yes—
513#391C2312yes—
514#391C2312yes—
515#391C2312yes—
516#391C2314yes—
517#391C2314yes—
518#391C2314yes—
519#391C2314yes—
520#391C2314yes—
521#391C2314yes—
522#391C2312yes—
523#391C2314yes—
524#391C2312yes—
525#391C2312yes—
526#391C2311yescharacteristic
527#391C2312yes—
528#391C2314yes—
529#391C2312yes—
530#391C2314yes—
531#391C2311yescharacteristic
532#391C2314yes—
533#391C2314yes—
534#391C2314yes—
535#391C2311yescharacteristic
536#391C2314yes—
537#391C2314yes—
538#391C2311yescharacteristic
539#391C2312yes—
540#390C2314yes—
541#390C2311yescharacteristic
542#390C2312yes—
543#390C2311yescharacteristic
544#390C2311yescharacteristic
545#390C2311yescharacteristic
546#390C2312yes—
547#390C2311yescharacteristic
548#390C2312yes—
549#390C2311yescharacteristic
550#389C2311yescharacteristic
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2311yescharacteristic
556#389C2312yes—
557#389C2311yescharacteristic
558#389C2312yes—
559#389C2314yes—
560#389C2312yes—
561#389C2314yes—
562#389C2311yescharacteristic
563#389C2312yes—
564#389C2314yes—
565#389C2311yescharacteristic
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2314yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2311yescharacteristic
575#389C2311yescharacteristic
576#389C2311yescharacteristic
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2311yescharacteristic
582#389C2311yescharacteristic
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2312yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2312yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2312yes—
603#388C2312yes—
604#388C2312yes—
605#388C2312yes—
606#388C2312yes—
607#388C2312yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2312yes—
613#388C2314yes—
614#388C2312yes—
615#388C2312yes—
616#388C2312yes—
617#388C2312yes—
618#388C2314yes—
619#388C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2312yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2312yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2312yes—
641#387C2314yes—
642#387C2314yes—
643#387C2312yes—
644#387C2312yes—
645#387C2312yes—
646#387C2314yes—
647#387C2312yes—
648#387C2312yes—
649#387C2312yes—
650#387C2312yes—
651#387C2312yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2312yes—
657#386C2314yes—
658#386C2312yes—
659#386C2312yes—
660#386C2312yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2312yes—
670#386C2312yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2312yes—
677#385C2314yes—
678#385C2314yes—
679#385C2312yes—
680#385C2312yes—
681#385C2312yes—
682#385C2312yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2312yes—
688#385C2312yes—
689#385C2312yes—
690#384C2311yescharacteristic
691#384C2311yescharacteristic
692#384C2311yescharacteristic
693#384C2312yes—
694#384C2312yes—
695#384C2312yes—
696#384C2312yes—
697#383C2314yes—
698#383C2314yes—
699#383C2312yes—
700#382C2314yes—
701#382C2311yescharacteristic
702#382C2312yes—
703#382C2312yes—
704#382C2312yes—
705#382C2311yescharacteristic
706#382C2312yes—
707#382C2311yescharacteristic
708#381C2314yes—
709#381C2314yes—
710#381C2314yes—
711#381C2314yes—
712#381C2312yes—
713#381C2312yes—
714#381C2312yes—
715#381C2312yes—
716#380C2311yescharacteristic
717#380C2312yes—
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2314yes—
726#380C2314yes—
727#380C2312yes—
728#380C2312yes—
729#380C2311yescharacteristic
730#380C2312yes—
731#380C2311yescharacteristic
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2314yes—
737#380C2314yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2314yes—
742#380C2312yes—
743#380C2314yes—
744#380C2311yescharacteristic
745#379C2312yes—
746#379C2314yes—
747#379C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2314yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2311yescharacteristic
784C4×C22⋊C4C2311yescharacteristic
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805#376C2312yes—
806#376C2311yescharacteristic
807#376C2312yes—
808#376C2311yescharacteristic
809C2×#95C2314yes—
810C2×#95C2314yes—
811C2×#95C2314yes—
812C2×#95C2314yes—
813C2×#95C2314yes—
814C2×#95C2312yes—
815C2×#95C2312yes—
816C2×#95C2314yes—
817C43C2311yescharacteristic
818C43C2311yescharacteristic
819C25C2412yes—
820C2×#41—28no—
821C2×#41—28no—
822C2×#41—28no—
823C22×Q8—28no—
824C22×Q8—48no—
825C22×Q8—44no—
826C22×Q8—48no—
827C22×Q8—44no—
828C22×Q8—48no—
829C22×Q8C2412yes—
830C22×Q8C2412yes—
831C22×Q8C2411yescharacteristic
832C22×Q8C2412yes—
833C22×Q8C2414yes—
834C22×Q8C2414yes—
835C22×Q8C2414yes—
836C22×Q8C2414yes—
837C22×D4—24no—
838C22×D4—24no—
839C22×D4—24no—
840C22×D4C2411yescharacteristic
841C22×D4C2414yes—
842C22×D4C2412yes—
843C22×D4C2411yescharacteristic
844C22×D4C2412yes—
845C22×D4C2414yes—
846C22×D4C2411yescharacteristic
847C23×C4—28no—
848C23×C4—44no—
849C23×C4—44no—
850C23×C4C2414yes—
851C23×C4C2411yescharacteristic
852C23×C4C2412yes—
853C23×C4C2412yes—
854C23×C4C2411yescharacteristic
855C23×C4C2411yescharacteristic
856C23×C4C2414yes—
857C23×C4C2412yes—
858C23×C4C2412yes—
859C23×C4C2412yes—
860C23×C4C2412yes—
861C23×C4C2414yes—
862C23×C4C2414yes—
863C23×C4C2412yes—
864C23×C4C2412yes—
865C23×C4C2412yes—
866C23×C4C2412yes—
867C23×C4C2412yes—
868C23×C4C2412yes—
869C4⋊Q8—28no—
870C4⋊Q8—24no—
871C4⋊Q8—28no—
872C4⋊Q8—24no—
873C4⋊Q8—24no—
874C4⋊Q8—44no—
875C4⋊Q8—44no—
876C4⋊Q8—44no—
877C4⋊Q8—44no—
878C4⋊Q8—44no—
879C4⋊Q8—44no—
880C4⋊Q8—48no—
881C4⋊Q8—48no—
882#126—48no—
883#124—42no—
884#124—44no—
885#124—44no—
886#124—48no—
887#124—48no—
888#123—216no—
889#123—28no—
890#123—48no—
891#123—48no—
892C22⋊Q8—28no—
893C22⋊Q8—28no—
894C22⋊Q8—24no—
895C22⋊Q8—28no—
896C22⋊Q8—216no—
897C22⋊Q8—48no—
898C22⋊Q8—48no—
899C22⋊Q8—48no—
900C22⋊Q8—48no—
901C22⋊Q8—48no—
902C22⋊Q8—44no—
903C22⋊Q8—44no—
904C22⋊Q8—44no—
905C22⋊Q8—44no—
906C22⋊Q8—48no—
907C22⋊Q8—44no—
908#121—28no—
909#121—42no—
910#121—44no—
911#121—44no—
912#121—48no—
913#120—48no—
914C4×Q8—24no—
915C4×Q8—44no—
916C4×Q8—44no—
917C4×Q8—44no—
918C4×Q8—44no—
919C4×Q8—44no—
920C4×D4—24no—
921C4×D4—28no—
922C4×D4—24no—
923C4×D4—28no—
924C4×D4—28no—
925C4×D4—24no—
926C4×D4—24no—
927C4×D4—24no—
928C4×D4—28no—
929C4×D4—24no—
930C4×D4—24no—
931C4×D4—28no—
932C4×D4—24no—
933C4×D4—24no—
934C4×D4—42no—
935C4×D4—44no—
936C4×D4—48no—
937C4×D4—48no—
938C4×D4#4118yes—
939#117—24no—
940#117—44no—
941#117—44no—
942#117—42no—
943#117—48no—
944#117—44no—
945C2×C4⋊C4—28no—
946C2×C4⋊C4—24no—
947C2×C4⋊C4—28no—
948C2×C4⋊C4—48no—
949C2×C4⋊C4—44no—
950C2×C4⋊C4—48no—
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C22⋊C4—28no—
1014C2×C22⋊C4—28no—
1015C2×C22⋊C4—44no—
1016C2×C22⋊C4—48no—
1017C2×C22⋊C4—48no—
1018C2×C22⋊C4C2411yescharacteristic
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2411yescharacteristic
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2411yescharacteristic
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2411yescharacteristic
1071C2×C42—24no—
1072C2×C42—44no—
1073C2×C42—44no—
1074C2×C42—44no—
1075C2×C42—48no—
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2412yes—
1079C2×C42C2412yes—
1080C2×C42C2411yescharacteristic
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083C2×C42C2412yes—
1084C2×C42C2411yescharacteristic
1085C2×C42C2411yescharacteristic
1086C2×C42C2411yescharacteristic
1087C2×C42C2411yescharacteristic
1088C2×C42C2412yes—
1089C2×C42C2411yescharacteristic
1090C2×C42C2412yes—
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2411yescharacteristic
1095C2×C42C2412yes—
1096C2×C42C2414yes—
1097C2×C42C2411yescharacteristic
1098C2×C42C2414yes—
1099C2×C42C2414yes—
1100C2×C42C2414yes—
1101C2×C42C2414yes—
1102C2×C42C2414yes—
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2412yes—
1106C2×C42C2412yes—
1107C2×C42C2412yes—
1108C2×C42C2411yescharacteristic
1109#95C2411yescharacteristic
1110#95C2411yescharacteristic
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2411yescharacteristic
1145#95C2411yescharacteristic
1146#95C2411yescharacteristic
1147#95C2411yescharacteristic
1148#95C2411yescharacteristic
1149#95C2411yescharacteristic
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2414yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2414yes—
1172#95C2412yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189C24—24no—
1190C24—24no—
1191C24—24no—
1192C24—24no—
1193C24—42no—
1194C24—42no—
1195C24—42no—
1196C24C2512yes—
1197C24C2512yes—
1198C24C2511yescharacteristic
1199C24C2512yes—
1200#41—432no—
1201C2×Q8—22no—
1202C2×Q8—24no—
1203C2×Q8—24no—
1204C2×Q8—28no—
1205C2×Q8—24no—
1206C2×Q8—24no—
1207C2×Q8—22no—
1208C2×Q8—24no—
1209C2×Q8—28no—
1210C2×Q8—24no—
1211C2×Q8—24no—
1212C2×Q8—24no—
1213C2×Q8—22no—
1214C2×Q8—28no—
1215C2×Q8—42no—
1216C2×Q8—44no—
1217C2×Q8—44no—
1218C2×Q8—44no—
1219C2×Q8—44no—
1220C2×Q8—44no—
1221C2×Q8—44no—
1222C2×Q8—44no—
1223C2×Q8—44no—
1224C2×Q8—44no—
1225C2×Q8—816no—
1226C2×Q8—832no—
1227C2×D4—24no—
1228C2×D4—28no—
1229C2×D4—28no—
1230C2×D4—24no—
1231C2×D4—24no—
1232C2×D4—28no—
1233C2×D4—24no—
1234C2×D4—22no—
1235C2×D4—22no—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—42no—
1241C2×D4—42no—
1242C2×D4—44no—
1243C2×D4—44no—
1244C2×D4—44no—
1245C2×D4—416no—
1246C2×D4C2×#4114yes—
1247C2×D4H(5,𝔽2)14yes—
1248C2×D42−1+414yes—
1249C22×C4—24no—
1250C22×C4—24no—
1251C22×C4—28no—
1252C22×C4—24no—
1253C22×C4—28no—
1254C22×C4—28no—
1255C22×C4—24no—
1256C22×C4—22no—
1257C22×C4—24no—
1258C22×C4—28no—
1259C22×C4—24no—
1260C22×C4—28no—
1261C22×C4—28no—
1262C22×C4—24no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—24no—
1267C22×C4—24no—
1268C22×C4—24no—
1269C22×C4—28no—
1270C22×C4—24no—
1271C22×C4—22no—
1272C22×C4—22no—
1273C22×C4—24no—
1274C22×C4—24no—
1275C22×C4—22no—
1276C22×C4—24no—
1277C22×C4—24no—
1278C22×C4—24no—
1279C22×C4—22no—
1280C22×C4—24no—
1281C22×C4—24no—
1282C22×C4—24no—
1283C22×C4—24no—
1284C22×C4—42no—
1285C22×C4—42no—
1286C22×C4—42no—
1287C22×C4—41no—
1288C22×C4—44no—
1289C22×C4—42no—
1290C22×C4—42no—
1291C22×C4—42no—
1292C22×C4—44no—
1293C22×C4—42no—
1294C22×C4—42no—
1295C22×C4—44no—
1296C22×C4—42no—
1297C22×C4—42no—
1298C22×C4—42no—
1299C22×C4—42no—
1300C22×C4—42no—
1301C22×C4—42no—
1302C22×C4—42no—
1303C22×C4—44no—
1304C22×C4—44no—
1305C22×C4—816no—
1306C22×C4C2×#4118yes—
1307C22×C4C2511yescharacteristic
1308C22×C4C2512yes—
1309C22×C4C2512yes—
1310C22×C4C2511yescharacteristic
1311C22×C4C2512yes—
1312C22×C4C2514yes—
1313C22×C4C2511yescharacteristic
1314C22×C4C2511yescharacteristic
1315C22×C4C2512yes—
1316C22×C4C2511yescharacteristic
1317C22×C4C2512yes—
1318C22×C4C2511yescharacteristic
1319C22×C4C2512yes—
1320C22×C4C2512yes—
1321C22×C4C2512yes—
1322C22×C4C2514yes—
1323C22×C4C2512yes—
1324C22×C4C2512yes—
1325C22×C4C2512yes—
1326C22×C4C2511yescharacteristic
1327C22×C4C2514yes—
1328C22×C4C2514yes—
1329C22×C4C2511yescharacteristic
1330C22×C4C2511yescharacteristic
1331C22×C4C2512yes—
1332C22×C4C2512yes—
1333C22×C4C2511yescharacteristic
1334C22×C4C2511yescharacteristic
1335C22×C4C2511yescharacteristic
1336C22×C4C2511yescharacteristic
1337C22×C4C2511yescharacteristic
1338C4⋊C4—22no—
1339C4⋊C4—24no—
1340C4⋊C4—22no—
1341C4⋊C4—24no—
1342C4⋊C4—28no—
1343C4⋊C4—24no—
1344C4⋊C4—22no—
1345C4⋊C4—24no—
1346C4⋊C4—28no—
1347C4⋊C4—24no—
1348C4⋊C4—24no—
1349C4⋊C4—28no—
1350C4⋊C4—24no—
1351C4⋊C4—24no—
1352C4⋊C4—24no—
1353C4⋊C4—22no—
1354C4⋊C4—24no—
1355C4⋊C4—28no—
1356C4⋊C4—28no—
1357C4⋊C4—22no—
1358C4⋊C4—24no—
1359C4⋊C4—24no—
1360C4⋊C4—22no—
1361C4⋊C4—22no—
1362C4⋊C4—22no—
1363C4⋊C4—22no—
1364C4⋊C4—22no—
1365C4⋊C4—24no—
1366C4⋊C4—24no—
1367C4⋊C4—22no—
1368C4⋊C4—22no—
1369C4⋊C4—22no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4—42no—
1376C4⋊C4—42no—
1377C4⋊C4—41no—
1378C4⋊C4—44no—
1379C4⋊C4—44no—
1380C4⋊C4—42no—
1381C4⋊C4—42no—
1382C4⋊C4—42no—
1383C4⋊C4—44no—
1384C4⋊C4—42no—
1385C4⋊C4—42no—
1386C4⋊C4—42no—
1387C4⋊C4—44no—
1388C4⋊C4—44no—
1389C4⋊C4—42no—
1390C4⋊C4—42no—
1391C4⋊C4—44no—
1392C4⋊C4—44no—
1393C4⋊C4—44no—
1394C4⋊C4—44no—
1395C4⋊C4—42no—
1396C4⋊C4—42no—
1397C4⋊C4—44no—
1398C4⋊C4C2×#4114yes—
1399C4⋊C4H(5,𝔽2)14yes—
1400C22⋊C4—24no—
1401C22⋊C4—28no—
1402C22⋊C4—24no—
1403C22⋊C4—28no—
1404C22⋊C4—28no—
1405C22⋊C4—24no—
1406C22⋊C4—24no—
1407C22⋊C4—22no—
1408C22⋊C4—24no—
1409C22⋊C4—24no—
1410C22⋊C4—24no—
1411C22⋊C4—24no—
1412C22⋊C4—24no—
1413C22⋊C4—24no—
1414C22⋊C4—28no—
1415C22⋊C4—24no—
1416C22⋊C4—28no—
1417C22⋊C4—24no—
1418C22⋊C4—24no—
1419C22⋊C4—24no—
1420C22⋊C4—24no—
1421C22⋊C4—22no—
1422C22⋊C4—24no—
1423C22⋊C4—24no—
1424C22⋊C4—42no—
1425C22⋊C4—42no—
1426C22⋊C4—42no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—42no—
1433C22⋊C4—42no—
1434C22⋊C4—41no—
1435C22⋊C4—44no—
1436C22⋊C4—42no—
1437C22⋊C4—42no—
1438C22⋊C4—42no—
1439C22⋊C4—42no—
1440C22⋊C4—44no—
1441C22⋊C4—42no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—42no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—42no—
1448C22⋊C4—42no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4C2×#4118yes—
1452C22⋊C42−1+414yes—
1453C42—22no—
1454C42—22no—
1455C42—22no—
1456C42—24no—
1457C42—22no—
1458C42—22no—
1459C42—24no—
1460C42—24no—
1461C42—22no—
1462C42—24no—
1463C42—22no—
1464C42—22no—
1465C42—22no—
1466C42—22no—
1467C42—22no—
1468C42—22no—
1469C42—24no—
1470C42—22no—
1471C42—22no—
1472C42—42no—
1473C42—42no—
1474C42—42no—
1475C42—42no—
1476C42—44no—
1477C42—44no—
1478C42—44no—
1479C42—42no—
1480C42—42no—
1481C42—41no—
1482C42—44no—
1483C42—44no—
1484C42—44no—
1485C42C2×#4114yes—
1486C23—22no—
1487C23—22no—
1488C23—22no—
1489C23—22no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—22no—
1497C23—22no—
1498C23—22no—
1499C23—22no—
1500C23—22no—
1501C23—22no—
1502C23—22no—
1503C23—22no—
1504C23—22no—
1505C23—22no—
1506C23—22no—
1507C23—22no—
1508C23—22no—
1509C23—22no—
1510C23—48no—
1511C23—48no—
1512C23—48no—
1513C23—48no—
1514C23—84no—
1515C23—84no—
1516C23—84no—
1517C23C22×#4114yes—
1518C23C2×H(5,𝔽2)14yes—
1519C23C2×2−1+412yes—
1520C23C2×2−1+414yes—
1521C23C2611yescharacteristic
1522Q8—48no—
1523Q8—48no—
1524Q8—48no—
1525Q8—44no—
1526Q8—88no—
1527Q8—88no—
1528Q8—88no—
1529Q8—88no—
1530D4—48no—
1531D4—416no—
1532D4—44no—
1533D4—44no—
1534D4—84no—
1535D4—164no—
1536D4#542116yescomplemented
1537C2×C4—21no—
1538C2×C4—22no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—22no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—216no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—24no—
1558C2×C4—24no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—21no—
1566C2×C4—22no—
1567C2×C4—21no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—24no—
1571C2×C4—24no—
1572C2×C4—24no—
1573C2×C4—24no—
1574C2×C4—24no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—24no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—22no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—21no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—21no—
1597C2×C4—24no—
1598C2×C4—22no—
1599C2×C4—21no—
1600C2×C4—22no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—24no—
1610C2×C4—24no—
1611C2×C4—22no—
1612C2×C4—21no—
1613C2×C4—24no—
1614C2×C4—21no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—48no—
1620C2×C4—48no—
1621C2×C4—44no—
1622C2×C4—416no—
1623C2×C4—48no—
1624C2×C4—416no—
1625C2×C4—44no—
1626C2×C4—48no—
1627C2×C4—48no—
1628C2×C4—44no—
1629C2×C4—84no—
1630C2×C4—84no—
1631C2×C4—84no—
1632C2×C4—84no—
1633C2×C4—84no—
1634C2×C4—84no—
1635C2×C4—88no—
1636C2×C4—88no—
1637C2×C4C22×#4112yes—
1638C2×C4C22×#4114yes—
1639C2×C4C22×#4112yes—
1640C2×C4C22×#4112yes—
1641C2×C4C2×H(5,𝔽2)14yes—
1642C2×C4C2×H(5,𝔽2)12yes—
1643C2×C4C2×H(5,𝔽2)12yes—
1644C2×C4C2×2−1+412yes—
1645C2×C4C2×2−1+412yes—
1646C2×C4C2×2−1+412yes—
1647C2×C4#58512yes—
1648C2×C4#58512yes—
1649C22—24no—
1650C22—24no—
1651C22—24no—
1652C22—24no—
1653C22—24no—
1654C22—24no—
1655C22—22no—
1656C22—22no—
1657C22—22no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—42no—
1663C22—42no—
1664C22—42no—
1665C22—42no—
1666C22—42no—
1667C22—42no—
1668C22—42no—
1669C22—42no—
1670C22—42no—
1671C22—42no—
1672C22—42no—
1673C22—42no—
1674C22—42no—
1675C22—42no—
1676C22—816no—
1677C22C2×#54218yes—
1678C22C23×#4111yescharacteristic
1679C22C22×H(5,𝔽2)11yescharacteristic
1680C22C22×H(5,𝔽2)11yescharacteristic
1681C22C22×2−1+411yescharacteristic
1682C22C22×2−1+411yescharacteristic
1683C22C2×#58511yescharacteristic
1684C22C2×#58511yescharacteristic
1685C4—24no—
1686C4—22no—
1687C4—22no—
1688C4—22no—
1689C4—24no—
1690C4—22no—
1691C4—44no—
1692C4—42no—
1693C4—41no—
1694C4—42no—
1695C4—44no—
1696C4—41no—
1697C4—42no—
1698C4—42no—
1699C4—42no—
1700C4—41no—
1701C4—42no—
1702C4—41no—
1703C4—42no—
1704C4—41no—
1705C4—42no—
1706C4—41no—
1707C4—42no—
1708C4—44no—
1709C4—42no—
1710C4—41no—
1711C4—42no—
1712C4—41no—
1713C4—44no—
1714C4C2×#54214yes—
1715C4#351414yes—
1716C2—28no—
1717C2—42no—
1718C2—82no—
1719C2—82no—
1720C2C22×#54211yescharacteristic
1721C2C2×#351411yescharacteristic
1722C2#6280511yescharacteristic
1723C2#6301211yescharacteristic
1724C2#6301311yescharacteristic
1725C2#6301611yescharacteristic
1726C2#6302511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#36153C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42756C2semidirect
2. #42754C2semidirect
3. #41451C2semidirect
4. #40892C2semidirect
5. #40222C2semidirect
6. #39657C2semidirect
7. #39505C2semidirect
8. #39200C2semidirect
9. #39159C2semidirect
10. #38940C2semidirect
11. #38606C2semidirect
12. #38170C2semidirect
13. #38111C2semidirect
14. #37853C2semidirect
15. #37704C2semidirect
16. #37665C2semidirect
17. #37631C2semidirect
18. #37494C2semidirect
19. #36303C2semidirect
20. #36274C2semidirect
21. #36216C2semidirect
23. D4×C4⋊Q8C2semidirect
24. D4×C22⋊Q8C2semidirect
25. #35939C2semidirect
26. #35888C2semidirect
27. #35283C2semidirect
28. #35228C2semidirect
29. #35170C2semidirect
30. #35080C2semidirect
31. #34969C2semidirect
32. C2×#2492C2semidirect
33. #34334C2semidirect
34. C4×#547C2semidirect
35. #34126C2semidirect
40. C2×#542C22semidirect
41. C22×C4⋊Q8C22semidirect
45. #2868C22semidirect
46. #2862C22semidirect
49. #2857C22semidirect
50. #2857C22semidirect
51. #2855C22semidirect
54. #2850C22semidirect
57. #2838C22semidirect
58. #2832C22semidirect
59. #2831C22semidirect
60. #2799C22semidirect
61. #2798C22semidirect
62. #2795C22semidirect
63. #2775C22semidirect
64. #2773C22semidirect
65. #2759C22semidirect
66. #2758C22semidirect
67. #2755C22semidirect
68. #2754C22semidirect
71. #2745C22semidirect
73. #2738C22semidirect
75. #2731C22semidirect
76. #2731C22semidirect
77. #2729C22semidirect
78. #2716C22semidirect
80. #2700C22semidirect
82. #2687C22semidirect
83. #2674C22semidirect
84. #2665C22semidirect
85. #2663C22semidirect
86. #2655C22semidirect
88. #2653C22semidirect
89. #2650C22semidirect
90. #2650C22semidirect
91. #2649C22semidirect
92. #2647C22semidirect
93. #2645C22semidirect
94. #2645C22semidirect
95. #2643C22semidirect
97. #2640C22semidirect
100. #2628C22semidirect
101. #2625C22semidirect
102. #2625C22semidirect
103. #2620C22semidirect
105. #2582C22semidirect
106. #2568C22semidirect
107. #2568C22semidirect
110. #2551C22semidirect
111. #2551C22semidirect
112. #2551C22semidirect
114. #2547C22semidirect
115. #2546C22semidirect
119. #2530C22semidirect
120. #2527C22semidirect
121. #2525C22semidirect
122. #2521C22semidirect
123. #2520C22semidirect
124. #2514C22semidirect
125. #2511C22semidirect
126. #2511C22semidirect
127. #2511C22semidirect
128. #2511C22semidirect
129. #2510C22semidirect
130. #2509C22semidirect
131. #2503C22semidirect
134. #2497C22semidirect
135. #2496C22semidirect
137. #2495C22semidirect
139. #2494C22semidirect
140. #2493C22semidirect
141. #2493C22semidirect
142. #2493C22semidirect
151. #2492C22semidirect
152. #2492C22semidirect
153. #2492C22semidirect
154. #2492C22semidirect
155. #2492C22semidirect
156. #2492C22semidirect
157. #2492C22semidirect
158. #2492C22semidirect
161. #2491C22semidirect
164. #2488C22semidirect
165. #2488C22semidirect
169. #2481C22semidirect
170. #2481C22semidirect
176. #2452C22semidirect
177. #2451C22semidirect
178. #2451C22semidirect
179. #2451C22semidirect
180. #2450C22semidirect
181. #2450C22semidirect
185. #2447C22semidirect
189. #2440C22semidirect
190. #2440C22semidirect
191. #2440C22semidirect
192. #2439C22semidirect
193. #2439C22semidirect
194. #2438C22semidirect
195. #2438C22semidirect
198. #2436C22semidirect
199. #2434C22semidirect
202. #2427C22semidirect
207. #2423C22semidirect
214. #2417C22semidirect
218. #2409C22semidirect
219. #2401C22semidirect
221. C2×#400C22semidirect
223. #2369C22semidirect
224. #2368C22semidirect
225. #2365C22semidirect
226. #2365C22semidirect
227. #2362C22semidirect
228. #2361C22semidirect
229. #2360C22semidirect
230. #2359C22semidirect
233. #2355C22semidirect
234. #2354C22semidirect
246. #2344C22semidirect
249. Q8×C22⋊C4C22semidirect
257. #2337C22semidirect
259. #2331C22semidirect
260. #2331C22semidirect
261. #2331C22semidirect
262. #2329C22semidirect
263. #2323C22semidirect
264. #2323C22semidirect
265. #2320C22semidirect
267. #2314C22semidirect
268. C4×C4⋊Q8C22semidirect
269. C4×C4⋊Q8C22semidirect
270. C4×C4⋊Q8C22semidirect
271. C4×#124C22semidirect
273. C4×C22⋊Q8C22semidirect
274. C4×C22⋊Q8C22semidirect
275. C4×C22⋊Q8C22semidirect
277. C4×#123C22semidirect
279. C4×#121C22semidirect
280. #2295C22semidirect
281. C2×#391C22semidirect
282. C2×#391C22semidirect
283. C2×#391C22semidirect
295. C42×D4C22semidirect
297. C2×C4×C4⋊C4C22semidirect
1536. D4#542semidirect

Maximal subgroups

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

subgroupindex
#427562
#427542
#414512
#408922
#402222
#396572
#395052
#392002
#391592
#389402
#386062
#381702
#381112
#378532
#377042
#376652
#376312
#374942
#363032
#362742
#362162
#361532
D4×C4⋊Q82
D4×C22⋊Q82
#359392
#358882
#352832
#352282
#351702
#350802
#349692
C2×#24922
#343342
C4×#5472
#341262