Finite Group Databasebeta

← #7671728

Subgroups — #7671728

Order 512.

5020 conjugacy classes of subgroups.

The subgroup lattice has 1805 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59921C212yesmaximal, complemented
2#59919C212yesmaximal, complemented
3#59909C212yesmaximal, complemented
4#59833C212yesmaximal, complemented
5#59771C212yesmaximal, complemented
6#59569C212yesmaximal, complemented
7#59463C212yesmaximal, complemented
8#59462C212yesmaximal, complemented
9#39985C212yesmaximal, complemented
10#39984C212yesmaximal, complemented
11#39973C212yesmaximal, complemented
12#39972C212yesmaximal, complemented
13#39694C212yesmaximal, complemented
14#39692C212yesmaximal, complemented
15#39602C212yesmaximal, complemented
16#39590C212yesmaximal, complemented
17#36640C211yesmaximal, characteristic, complemented
18#36574C211yesmaximal, characteristic, complemented
19#36574C211yesmaximal, characteristic, complemented
20#36573C211yesmaximal, characteristic, complemented
21#36573C211yesmaximal, characteristic, complemented
22#36563C211yesmaximal, characteristic, complemented
23#36560C211yesmaximal, characteristic, complemented
24#36559C211yesmaximal, characteristic, complemented
25#36559C211yesmaximal, characteristic, complemented
26#36479C212yesmaximal, complemented
27#36431C212yesmaximal, complemented
28#36239C212yesmaximal, complemented
29#36219C212yesmaximal, complemented
30#35612C212yesmaximal, complemented
31#35602C212yesmaximal, complemented
32#35294C211yesmaximal, characteristic, complemented
33#35294C211yesmaximal, characteristic, complemented
34#35175C212yesmaximal, complemented
35#34333C212yesmaximal, complemented
36#34226C211yesmaximal, characteristic
37#34226C211yesmaximal, characteristic
38C4×#533C211yesmaximal, characteristic, complemented
39C4×#532C211yesmaximal, characteristic
40C2×#557C2212yes—
41C2×#554C2212yes—
42C2×#554C2212yes—
43C2×#533C2211yescharacteristic
44C2×#532C2211yescharacteristic
45C2×C4×#41C2212yes—
46#2868C2211yescharacteristic
47#2868C2211yescharacteristic
48#2864C2212yes—
49#2864C2212yes—
50#2859C2211yescharacteristic
51#2859C2211yescharacteristic
52#2859C2211yescharacteristic
53#2859C2211yescharacteristic
54#2859C2211yescharacteristic
55#2859C2211yescharacteristic
56#2859C2211yescharacteristic
57#2859C2211yescharacteristic
58#2859C2211yescharacteristic
59#2859C2211yescharacteristic
60#2855C2214yes—
61#2851C2212yes—
62#2851C2212yes—
63#2851C2212yes—
64#2851C2212yes—
65#2851C2214yes—
66#2804C2214yes—
67#2790C2214yes—
68#2790C2214yes—
69#2788C2214yes—
70#2784C2214yes—
71#2780C2214yes—
72#2780C2214yes—
73#2780C2214yes—
74#2768C2214yes—
75#2748C2214yes—
76#2742C2214yes—
77#2732C2214yes—
78#2729C2214yes—
79#2720C2214yes—
80#2692C2214yes—
81#2677C2214yes—
82#2667C2214yes—
83#2665C2214yes—
84#2629C2212yes—
85#2629C2212yes—
86#2628C2212yes—
87#2628C2212yes—
88#2608C2214yes—
89#2607C2214yes—
90#2589C2214yes—
91#2589C2214yes—
92#2587C2214yes—
93#2587C2214yes—
94#2584C2212yes—
95#2584C2212yes—
96#2584C2212yes—
97#2584C2212yes—
98#2582C2212yes—
99#2581C2212yes—
100#2581C2212yes—
101#2580C2212yes—
102#2580C2214yes—
103#2580C2212yes—
104#2580C2212yes—
105#2580C2212yes—
106#2580C2212yes—
107#2580C2212yes—
108#2579C2214yes—
109#2574C2214yes—
110#2574C2214yes—
111#2574C2214yes—
112#2570C2212yes—
113#2570C2212yes—
114#2570C2212yes—
115#2570C2212yes—
116#2569C2214yes—
117#2569C2214yes—
118#2568C2212yes—
119#2567C2212yes—
120#2566C2212yes—
121#2566C2214yes—
122#2566C2212yes—
123#2566C2212yes—
124#2566C2212yes—
125#2565C2212yes—
126#2565C2212yes—
127#2564C2214yes—
128#2563C2212yes—
129#2563C2212yes—
130#2556C2214yes—
131#2556C2214yes—
132#2556C2214yes—
133#2552C2212yes—
134#2550C2212yes—
135#2550C2212yes—
136#2550C2212yes—
137#2550C2212yes—
138#2550C2212yes—
139#2550C2212yes—
140#2546C2212yes—
141#2546C2212yes—
142#2538C2212yes—
143#2538C2212yes—
144#2538C2212yes—
145#2538C2212yes—
146#2522C2214yes—
147#2522C2214yes—
148#2522C2214yes—
149#2509C2212yes—
150#2509C2212yes—
151#2509C2212yes—
152#2509C2212yes—
153#2508C2212yes—
154#2508C2212yes—
155#2508C2212yes—
156#2508C2212yes—
157#2507C2212yes—
158#2507C2212yes—
159#2506C2212yes—
160#2506C2212yes—
161#2506C2212yes—
162#2506C2212yes—
163#2505C2214yes—
164#2505C2214yes—
165#2497C2214yes—
166#2492C2214yes—
167#2473C2214yes—
168#2473C2214yes—
169#2465C2214yes—
170#2454C2212yes—
171#2454C2212yes—
172#2454C2212yes—
173#2454C2212yes—
174#2454C2212yes—
175#2454C2212yes—
176#2454C2212yes—
177#2454C2212yes—
178#2454C2212yes—
179#2454C2212yes—
180#2454C2212yes—
181#2454C2214yes—
182#2454C2212yes—
183#2453C2212yes—
184#2453C2212yes—
185#2453C2212yes—
186#2453C2212yes—
187#2452C2212yes—
188#2452C2212yes—
189#2452C2212yes—
190#2452C2212yes—
191#2452C2212yes—
192#2452C2212yes—
193#2452C2212yes—
194#2452C2214yes—
195#2452C2212yes—
196#2451C2212yes—
197#2451C2212yes—
198#2450C2214yes—
199#2449C2214yes—
200#2441C2212yes—
201#2441C2212yes—
202#2441C2214yes—
203#2441C2212yes—
204#2441C2212yes—
205#2439C2212yes—
206#2439C2212yes—
207#2439C2214yes—
208#2439C2212yes—
209#2439C2212yes—
210#2438C2214yes—
211#2438C2214yes—
212#2370C2212yes—
213#2370C2212yes—
214#2370C2212yes—
215#2370C2212yes—
216#2369C2212yes—
217#2368C2214yes—
218#2368C2214yes—
219#2367C2212yes—
220#2367C2212yes—
221#2367C2212yes—
222#2367C2212yes—
223#2365C2212yes—
224#2365C2212yes—
225#2363C2212yes—
226#2363C2212yes—
227#2363C2212yes—
228#2363C2212yes—
229#2360C2214yes—
230#2357C2212yes—
231#2357C2212yes—
232#2355C2212yes—
233#2351C2212yes—
234#2351C2212yes—
235Q8×C4⋊C4C2212yes—
236#2349C2212yes—
237#2349C2212yes—
238#2349C2212yes—
239#2349C2212yes—
240#2349C2212yes—
241#2349C2212yes—
242#2349C2212yes—
243#2349C2212yes—
244D4×C4⋊C4C2212yes—
245D4×C4⋊C4C2212yes—
246D4×C4⋊C4C2212yes—
247D4×C4⋊C4C2212yes—
248#2345C2214yes—
249#2341C2212yes—
250#2341C2212yes—
251#2339C2212yes—
252#2339C2212yes—
253#2331C2212yes—
254#2331C2212yes—
255#2330C2212yes—
256#2330C2212yes—
257#2329C2214yes—
258#2329C2214yes—
259#2324C2212yes—
260#2324C2212yes—
261#2324C2212yes—
262#2324C2212yes—
263#2319C2212yes—
264#2319C2212yes—
265C4×C4⋊Q8C2211yescharacteristic
266C4×C4⋊Q8C2211yescharacteristic
267C4×C4⋊Q8C2211yescharacteristic
268C4×C4⋊Q8C2211yescharacteristic
269C4×C4⋊Q8C2211yescharacteristic
270C4×C4⋊Q8C2211yescharacteristic
271C4×C4⋊Q8C2211yescharacteristic
272C4×C4⋊Q8C2211yescharacteristic
273C4×C4⋊Q8C2211yescharacteristic
274C4×C4⋊Q8C2211yescharacteristic
275C4×#127C2211yescharacteristic
276C4×#127C2211yescharacteristic
277C4×#127C2211yescharacteristic
278C4×#127C2211yescharacteristic
279C4×#127C2211yescharacteristic
280C4×#127C2211yescharacteristic
281C4×#125C2212yes—
282C4×#125C2212yes—
283C4×#125C2212yes—
284C4×#125C2212yes—
285C4×#125C2211yescharacteristic
286C4×#125C2211yescharacteristic
287C4×#125C2211yescharacteristic
288C4×#125C2211yescharacteristic
289C4×#124C2212yes—
290C4×#124C2212yes—
291C4×C22⋊Q8C2211yescharacteristic
292C4×C22⋊Q8C2211yescharacteristic
293C4×C22⋊Q8C2214yes—
294C4×C22⋊Q8C2211yescharacteristic
295C4×C22⋊Q8C2211yescharacteristic
296C4×C22⋊Q8C2211yescharacteristic
297C4×C22⋊Q8C2211yescharacteristic
298C4×C22⋊Q8C2211yescharacteristic
299C4×C22⋊Q8C2211yescharacteristic
300C4×#121C2212yes—
301C4×#121C2212yes—
302C4×#121C2212yes—
303C4×#121C2212yes—
304#2297C2212yes—
305#2296C2211yescharacteristic
306#2296C2211yescharacteristic
307#2296C2212yes—
308#2296C2212yes—
309#2295C2211yescharacteristic
310#2295C2211yescharacteristic
311#2295C2211yescharacteristic
312#2295C2211yescharacteristic
313#2293C2212yes—
314#2293C2212yes—
315C2×#387C2214yes—
316#2285C2211yescharacteristic
317#2285C2211yescharacteristic
318#2285C2211yescharacteristic
319#2285C2211yescharacteristic
320#2275C2212yes—
321#2275C2212yes—
322C42×Q8C2211yescharacteristic
323C42×Q8C2211yescharacteristic
324C42×Q8C2211yescharacteristic
325C42×Q8C2211yescharacteristic
326C42×D4C2212yes—
327C42×D4C2212yes—
328C4×#117C2211yescharacteristic
329C4×#117C2211yescharacteristic
330C2×C43C2211yescharacteristic
331C22×#41C2312yes—
332#557—48no—
333#554—216no—
334#554—48no—
335#533—28no—
336#532Q8116yescomplemented
337C2×C4⋊Q8C2311yescharacteristic
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2312yes—
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2312yes—
343C2×C4⋊Q8C2312yes—
344C2×C4⋊Q8C2312yes—
345C2×C4⋊Q8C2314yes—
346C2×C4⋊Q8C2311yescharacteristic
347C2×#127C2311yescharacteristic
348C2×#125C2311yescharacteristic
349C2×#125C2311yescharacteristic
350C2×#125C2312yes—
351C2×#125C2312yes—
352C2×#125C2312yes—
353C2×#125C2312yes—
354C2×#125C2312yes—
355C2×#125C2312yes—
356C2×#125C2314yes—
357C2×#125C2312yes—
358C2×#125C2312yes—
359C2×#125C2312yes—
360C2×#125C2312yes—
361C2×#125C2314yes—
362C2×#124C2312yes—
363C2×C22⋊Q8C2314yes—
364C2×C22⋊Q8C2314yes—
365C2×C22⋊Q8C2314yes—
366C2×C22⋊Q8C2311yescharacteristic
367C2×C22⋊Q8C2311yescharacteristic
368C2×C22⋊Q8C2311yescharacteristic
369C2×C22⋊Q8C2311yescharacteristic
370C2×C22⋊Q8C2314yes—
371C2×C22⋊Q8C2314yes—
372C2×C22⋊Q8C2314yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C4×#41—48no—
376C2×C4×Q8C2312yes—
377C2×C4×Q8C2311yescharacteristic
378C2×C4×Q8C2311yescharacteristic
379C2×C4×Q8C2311yescharacteristic
380C2×C4×Q8C2311yescharacteristic
381C2×C4×Q8C2311yescharacteristic
382C2×C4×Q8C2312yes—
383C2×C4×Q8C2311yescharacteristic
384C2×C4×Q8C2312yes—
385C2×C4×Q8C2311yescharacteristic
386C2×C4×Q8C2311yescharacteristic
387C2×C4×Q8C2311yescharacteristic
388C2×C4×Q8C2312yes—
389C2×C4×Q8C2311yescharacteristic
390C2×C4×Q8C2312yes—
391C2×C4×Q8C2311yescharacteristic
392C2×C4×Q8C2312yes—
393C2×C4×Q8C2314yes—
394C2×C4×Q8C2311yescharacteristic
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2312yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2314yes—
414C2×C4×D4C2314yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2312yes—
417C2×#117C2311yescharacteristic
418C2×#117C2311yescharacteristic
419C2×#117C2311yescharacteristic
420C2×#117C2311yescharacteristic
421C2×#117C2312yes—
422C2×#117C2312yes—
423C2×#117C2314yes—
424C2×#117C2312yes—
425C22×C4⋊C4C2314yes—
426C22×C4⋊C4C2314yes—
427C22×C42C2311yescharacteristic
428C22×C42C2311yescharacteristic
429C22×C42C2311yescharacteristic
430C22×C42C2311yescharacteristic
431C22×C42C2314yes—
432C22×C42C2311yescharacteristic
433C22×C42C2311yescharacteristic
434C22×C42C2311yescharacteristic
435#400C2314yes—
436#400C2314yes—
437#400C2314yes—
438#400C2314yes—
439#400C2314yes—
440#400C2314yes—
441#400C2314yes—
442#400C2314yes—
443#400C2314yes—
444#400C2314yes—
445#399C2314yes—
446#399C2314yes—
447#399C2314yes—
448#399C2314yes—
449#399C2314yes—
450#399C2314yes—
451#399C2314yes—
452#399C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2314yes—
458#398C2314yes—
459#398C2314yes—
460#398C2314yes—
461#398C2314yes—
462#398C2314yes—
463#398C2314yes—
464#398C2314yes—
465#398C2314yes—
466#398C2314yes—
467#398C2314yes—
468#398C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#395C2314yes—
486#395C2314yes—
487#395C2314yes—
488#395C2314yes—
489#395C2314yes—
490#395C2314yes—
491#393C2314yes—
492#393C2314yes—
493#393C2314yes—
494#393C2314yes—
495#393C2314yes—
496#393C2314yes—
497#393C2314yes—
498#393C2314yes—
499#391C2312yes—
500#391C2312yes—
501#391C2312yes—
502#391C2311yescharacteristic
503#391C2312yes—
504#391C2312yes—
505#391C2312yes—
506#391C2311yescharacteristic
507#391C2311yescharacteristic
508#391C2311yescharacteristic
509#391C2311yescharacteristic
510#391C2311yescharacteristic
511#391C2311yescharacteristic
512#391C2311yescharacteristic
513#391C2314yes—
514#391C2314yes—
515#391C2314yes—
516#391C2314yes—
517#391C2314yes—
518#391C2314yes—
519#391C2314yes—
520#391C2314yes—
521#391C2314yes—
522#390C2312yes—
523#390C2312yes—
524#390C2312yes—
525#390C2312yes—
526#390C2312yes—
527#390C2312yes—
528#390C2312yes—
529#390C2312yes—
530#390C2312yes—
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2314yes—
541#390C2314yes—
542#390C2314yes—
543#390C2314yes—
544#389C2311yescharacteristic
545#389C2311yescharacteristic
546#389C2311yescharacteristic
547#389C2311yescharacteristic
548#389C2311yescharacteristic
549#389C2311yescharacteristic
550#389C2311yescharacteristic
551#389C2311yescharacteristic
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2311yescharacteristic
571#389C2311yescharacteristic
572#389C2312yes—
573#389C2311yescharacteristic
574#389C2311yescharacteristic
575#389C2311yescharacteristic
576#389C2311yescharacteristic
577#389C2312yes—
578#389C2311yescharacteristic
579#389C2311yescharacteristic
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2312yes—
592#389C2314yes—
593#389C2312yes—
594#389C2314yes—
595#389C2312yes—
596#389C2312yes—
597#389C2312yes—
598#389C2312yes—
599#389C2312yes—
600#389C2312yes—
601#389C2314yes—
602#389C2314yes—
603#389C2314yes—
604#389C2312yes—
605#389C2314yes—
606#389C2314yes—
607#389C2314yes—
608#389C2312yes—
609#389C2314yes—
610#389C2314yes—
611#389C2314yes—
612#389C2314yes—
613#389C2314yes—
614#389C2314yes—
615#389C2312yes—
616#389C2312yes—
617#389C2312yes—
618#389C2312yes—
619#389C2314yes—
620#389C2312yes—
621#389C2312yes—
622#389C2312yes—
623#389C2312yes—
624#389C2312yes—
625#389C2312yes—
626#389C2312yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#387C2311yescharacteristic
640#387C2311yescharacteristic
641#387C2314yes—
642#387C2311yescharacteristic
643#387C2314yes—
644#387C2314yes—
645#387C2311yescharacteristic
646#387C2311yescharacteristic
647#387C2311yescharacteristic
648#387C2311yescharacteristic
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2311yescharacteristic
655#387C2311yescharacteristic
656#387C2311yescharacteristic
657#387C2311yescharacteristic
658#387C2311yescharacteristic
659#387C2311yescharacteristic
660#387C2311yescharacteristic
661#387C2311yescharacteristic
662#387C2311yescharacteristic
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#385C2311yescharacteristic
692#385C2314yes—
693#385C2311yescharacteristic
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2311yescharacteristic
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2311yescharacteristic
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2311yescharacteristic
724#385C2311yescharacteristic
725#385C2311yescharacteristic
726#385C2311yescharacteristic
727#384C2311yescharacteristic
728#384C2311yescharacteristic
729#384C2311yescharacteristic
730#384C2311yescharacteristic
731#384C2311yescharacteristic
732#384C2311yescharacteristic
733#384C2311yescharacteristic
734#384C2311yescharacteristic
735#384C2312yes—
736#384C2312yes—
737#384C2312yes—
738#384C2314yes—
739#384C2312yes—
740#384C2312yes—
741#384C2312yes—
742#382C2311yescharacteristic
743#382C2311yescharacteristic
744#382C2312yes—
745#382C2312yes—
746#382C2312yes—
747#382C2312yes—
748#382C2312yes—
749#382C2312yes—
750#382C2312yes—
751#382C2314yes—
752#382C2312yes—
753#382C2312yes—
754#382C2312yes—
755#382C2312yes—
756#382C2312yes—
757#382C2314yes—
758#382C2312yes—
759#381C2314yes—
760#381C2314yes—
761#380C2314yes—
762#380C2314yes—
763#380C2314yes—
764#380C2314yes—
765#380C2314yes—
766#380C2314yes—
767#380C2314yes—
768#380C2314yes—
769#380C2314yes—
770#380C2314yes—
771#380C2314yes—
772#380C2312yes—
773#380C2312yes—
774#380C2314yes—
775#380C2312yes—
776#380C2312yes—
777#380C2312yes—
778#380C2312yes—
779#380C2311yescharacteristic
780#380C2311yescharacteristic
781#380C2311yescharacteristic
782#380C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2314yes—
786C4×C4⋊C4C2314yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2314yes—
790C4×C4⋊C4C2314yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2311yescharacteristic
805C4×C4⋊C4C2311yescharacteristic
806C4×C4⋊C4C2311yescharacteristic
807C4×C4⋊C4C2311yescharacteristic
808C4×C4⋊C4C2311yescharacteristic
809C4×C4⋊C4C2311yescharacteristic
810C4×C4⋊C4C2311yescharacteristic
811C4×C4⋊C4C2311yescharacteristic
812C4×C4⋊C4C2311yescharacteristic
813C4×C4⋊C4C2311yescharacteristic
814C4×C4⋊C4C2311yescharacteristic
815C4×C4⋊C4C2311yescharacteristic
816C4×C4⋊C4C2311yescharacteristic
817C4×C4⋊C4C2312yes—
818C4×C4⋊C4C2312yes—
819C4×C4⋊C4C2312yes—
820C4×C4⋊C4C2312yes—
821C4×C4⋊C4C2312yes—
822C4×C4⋊C4C2312yes—
823C4×C4⋊C4C2312yes—
824C4×C4⋊C4C2312yes—
825C4×C4⋊C4C2312yes—
826C4×C4⋊C4C2312yes—
827C4×C4⋊C4C2312yes—
828C4×C4⋊C4C2312yes—
829C4×C4⋊C4C2311yescharacteristic
830C4×C4⋊C4C2311yescharacteristic
831C4×C4⋊C4C2311yescharacteristic
832C4×C4⋊C4C2311yescharacteristic
833C4×C4⋊C4C2311yescharacteristic
834C4×C4⋊C4C2311yescharacteristic
835C4×C4⋊C4C2311yescharacteristic
836C4×C4⋊C4C2311yescharacteristic
837C4×C4⋊C4C2311yescharacteristic
838C4×C4⋊C4C2314yes—
839C4×C4⋊C4C2312yes—
840C4×C4⋊C4C2314yes—
841C4×C4⋊C4C2312yes—
842C4×C4⋊C4C2311yescharacteristic
843C4×C4⋊C4C2311yescharacteristic
844C4×C4⋊C4C2311yescharacteristic
845C4×C4⋊C4C2314yes—
846C4×C4⋊C4C2311yescharacteristic
847C4×C4⋊C4C2311yescharacteristic
848C4×C4⋊C4C2311yescharacteristic
849C4×C4⋊C4C2311yescharacteristic
850C4×C4⋊C4C2311yescharacteristic
851C4×C4⋊C4C2311yescharacteristic
852C4×C22⋊C4C2314yes—
853C4×C22⋊C4C2314yes—
854C4×C22⋊C4C2314yes—
855C4×C22⋊C4C2314yes—
856C4×C22⋊C4C2314yes—
857C4×C22⋊C4C2314yes—
858C4×C22⋊C4C2314yes—
859C4×C22⋊C4C2314yes—
860C4×C22⋊C4C2314yes—
861C4×C22⋊C4C2314yes—
862C4×C22⋊C4C2311yescharacteristic
863C4×C22⋊C4C2311yescharacteristic
864C4×C22⋊C4C2311yescharacteristic
865C4×C22⋊C4C2311yescharacteristic
866C4×C22⋊C4C2314yes—
867C4×C22⋊C4C2311yescharacteristic
868C4×C22⋊C4C2311yescharacteristic
869C4×C22⋊C4C2311yescharacteristic
870C4×C22⋊C4C2311yescharacteristic
871C4×C22⋊C4C2314yes—
872#376C2311yescharacteristic
873#376C2311yescharacteristic
874#376C2311yescharacteristic
875#376C2311yescharacteristic
876C2×#95C2314yes—
877C2×#95C2314yes—
878C2×#95C2314yes—
879C2×#95C2314yes—
880C43C2311yescharacteristic
881C43C2311yescharacteristic
882C43C2311yescharacteristic
883C43C2311yescharacteristic
884C43C2311yescharacteristic
885C43C2311yescharacteristic
886C43C2311yescharacteristic
887C43C2311yescharacteristic
888C43C2311yescharacteristic
889C43C2311yescharacteristic
890C43C2311yescharacteristic
891C43C2311yescharacteristic
892C2×#41—44no—
893C2×#41—44no—
894C2×#41C2×Q8116yes—
895C22×Q8C2411yescharacteristic
896C22×Q8C2411yescharacteristic
897C22×Q8C2412yes—
898C22×Q8C2411yescharacteristic
899C22×Q8C2414yes—
900C22×Q8C2414yes—
901C22×Q8C2411yescharacteristic
902C22×D4C2412yes—
903C22×D4C2412yes—
904C22×D4C2412yes—
905C22×D4C2414yes—
906C23×C4C2411yescharacteristic
907C23×C4C2411yescharacteristic
908C23×C4C2411yescharacteristic
909C23×C4C2411yescharacteristic
910C23×C4C2414yes—
911C23×C4C2414yes—
912C23×C4C2414yes—
913C23×C4C2414yes—
914C23×C4C2411yescharacteristic
915C23×C4C2411yescharacteristic
916C23×C4C2414yes—
917C23×C4C2414yes—
918C23×C4C2411yescharacteristic
919C23×C4C2414yes—
920C4⋊Q8—24no—
921C4⋊Q8—24no—
922C4⋊Q8—28no—
923C4⋊Q8—44no—
924C4⋊Q8—44no—
925C4⋊Q8—44no—
926C4⋊Q8—44no—
927C4⋊Q8—44no—
928C4⋊Q8—48no—
929C4⋊Q8C2×Q818yes—
930#127C2×Q818yes—
931#125—24no—
932#125—24no—
933#125—28no—
934#125—28no—
935#125—28no—
936#125—44no—
937#125—44no—
938#125—44no—
939#125—44no—
940#125—44no—
941#125—44no—
942#125—48no—
943#125—44no—
944#125—48no—
945#124C2×Q8116yes—
946C22⋊Q8—24no—
947C22⋊Q8—216no—
948C22⋊Q8—24no—
949C22⋊Q8—24no—
950C22⋊Q8—24no—
951C22⋊Q8—216no—
952C22⋊Q8—216no—
953C22⋊Q8—48no—
954C22⋊Q8—48no—
955C22⋊Q8—48no—
956#121C2×Q8116yes—
957#121C2×Q8116yes—
958C4×Q8—24no—
959C4×Q8—24no—
960C4×Q8—24no—
961C4×Q8—28no—
962C4×Q8—24no—
963C4×Q8—24no—
964C4×Q8—42no—
965C4×Q8—42no—
966C4×Q8—42no—
967C4×Q8—42no—
968C4×Q8—42no—
969C4×Q8—42no—
970C4×Q8—48no—
971C4×Q8—44no—
972C4×Q8—44no—
973C4×Q8—44no—
974C4×Q8—44no—
975C4×Q8—44no—
976C4×Q8#4118yescomplemented
977C4×D4—28no—
978C4×D4—28no—
979C4×D4—28no—
980C4×D4—28no—
981C4×D4—44no—
982C4×D4—44no—
983C4×D4—44no—
984C4×D4—44no—
985C4×D4—44no—
986C4×D4—44no—
987C4×D4—44no—
988C4×D4—44no—
989C4×D4—44no—
990C4×D4—44no—
991C4×D4—44no—
992C4×D4—44no—
993C4×D4—44no—
994C4×D4—44no—
995C4×D4—48no—
996C4×D4—48no—
997C4×D4C2×Q8116yes—
998C4×D4C2×Q8116yes—
999#117—24no—
1000#117—24no—
1001#117—42no—
1002#117—42no—
1003#117—48no—
1004#117—44no—
1005#117—44no—
1006#117—44no—
1007C2×C4⋊C4—216no—
1008C2×C4⋊C4—48no—
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2411yescharacteristic
1038C2×C4⋊C4C2411yescharacteristic
1039C2×C4⋊C4C2411yescharacteristic
1040C2×C4⋊C4C2411yescharacteristic
1041C2×C4⋊C4C2411yescharacteristic
1042C2×C4⋊C4C2411yescharacteristic
1043C2×C4⋊C4C2411yescharacteristic
1044C2×C4⋊C4C2411yescharacteristic
1045C2×C4⋊C4C2411yescharacteristic
1046C2×C4⋊C4C2411yescharacteristic
1047C2×C4⋊C4C2411yescharacteristic
1048C2×C4⋊C4C2411yescharacteristic
1049C2×C4⋊C4C2411yescharacteristic
1050C2×C4⋊C4C2411yescharacteristic
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2411yescharacteristic
1058C2×C4⋊C4C2411yescharacteristic
1059C2×C4⋊C4C2411yescharacteristic
1060C2×C4⋊C4C2411yescharacteristic
1061C2×C4⋊C4C2414yes—
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2414yes—
1064C2×C4⋊C4C2411yescharacteristic
1065C2×C4⋊C4C2411yescharacteristic
1066C2×C4⋊C4C2411yescharacteristic
1067C2×C4⋊C4C2411yescharacteristic
1068C2×C4⋊C4C2411yescharacteristic
1069C2×C4⋊C4C2411yescharacteristic
1070C2×C4⋊C4C2411yescharacteristic
1071C2×C4⋊C4C2411yescharacteristic
1072C2×C4⋊C4C2411yescharacteristic
1073C2×C4⋊C4C2411yescharacteristic
1074C2×C4⋊C4C2411yescharacteristic
1075C2×C4⋊C4C2411yescharacteristic
1076C2×C4⋊C4C2411yescharacteristic
1077C2×C4⋊C4C2411yescharacteristic
1078C2×C4⋊C4C2411yescharacteristic
1079C2×C4⋊C4C2411yescharacteristic
1080C2×C4⋊C4C2411yescharacteristic
1081C2×C4⋊C4C2411yescharacteristic
1082C2×C4⋊C4C2414yes—
1083C2×C4⋊C4C2414yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2414yes—
1086C2×C4⋊C4C2414yes—
1087C2×C4⋊C4C2414yes—
1088C2×C4⋊C4C2414yes—
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2414yes—
1096C2×C4⋊C4C2414yes—
1097C2×C4⋊C4C2414yes—
1098C2×C4⋊C4C2414yes—
1099C2×C4⋊C4C2414yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2411yescharacteristic
1103C2×C4⋊C4C2411yescharacteristic
1104C2×C4⋊C4C2411yescharacteristic
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2411yescharacteristic
1107C2×C22⋊C4C2411yescharacteristic
1108C2×C22⋊C4C2411yescharacteristic
1109C2×C22⋊C4C2411yescharacteristic
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2411yescharacteristic
1116C2×C22⋊C4C2411yescharacteristic
1117C2×C22⋊C4C2411yescharacteristic
1118C2×C22⋊C4C2411yescharacteristic
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2414yes—
1136C2×C42—24no—
1137C2×C42—24no—
1138C2×C42—48no—
1139C2×C42—42no—
1140C2×C42—42no—
1141C2×C42—42no—
1142C2×C42—42no—
1143C2×C42C2×Q818yes—
1144C2×C42C2411yescharacteristic
1145C2×C42C2411yescharacteristic
1146C2×C42C2411yescharacteristic
1147C2×C42C2411yescharacteristic
1148C2×C42C2411yescharacteristic
1149C2×C42C2411yescharacteristic
1150C2×C42C2411yescharacteristic
1151C2×C42C2411yescharacteristic
1152C2×C42C2411yescharacteristic
1153C2×C42C2411yescharacteristic
1154C2×C42C2411yescharacteristic
1155C2×C42C2411yescharacteristic
1156C2×C42C2411yescharacteristic
1157C2×C42C2411yescharacteristic
1158C2×C42C2411yescharacteristic
1159C2×C42C2411yescharacteristic
1160C2×C42C2411yescharacteristic
1161C2×C42C2411yescharacteristic
1162C2×C42C2411yescharacteristic
1163C2×C42C2414yes—
1164C2×C42C2411yescharacteristic
1165C2×C42C2411yescharacteristic
1166C2×C42C2411yescharacteristic
1167C2×C42C2411yescharacteristic
1168C2×C42C2411yescharacteristic
1169C2×C42C2411yescharacteristic
1170C2×C42C2411yescharacteristic
1171C2×C42C2411yescharacteristic
1172C2×C42C2411yescharacteristic
1173C2×C42C2411yescharacteristic
1174C2×C42C2411yescharacteristic
1175C2×C42C2411yescharacteristic
1176C2×C42C2411yescharacteristic
1177C2×C42C2411yescharacteristic
1178C2×C42C2411yescharacteristic
1179C2×C42C2411yescharacteristic
1180C2×C42C2411yescharacteristic
1181C2×C42C2414yes—
1182C2×C42C2414yes—
1183C2×C42C2414yes—
1184C2×C42C2414yes—
1185C2×C42C2414yes—
1186C2×C42C2414yes—
1187C2×C42C2414yes—
1188C2×C42C2414yes—
1189C2×C42C2411yescharacteristic
1190C2×C42C2411yescharacteristic
1191C2×C42C2411yescharacteristic
1192C2×C42C2411yescharacteristic
1193C2×C42C2411yescharacteristic
1194C2×C42C2411yescharacteristic
1195C2×C42C2411yescharacteristic
1196C2×C42C2411yescharacteristic
1197C2×C42C2411yescharacteristic
1198C2×C42C2411yescharacteristic
1199C2×C42C2411yescharacteristic
1200C2×C42C2411yescharacteristic
1201C2×C42C2411yescharacteristic
1202C2×C42C2411yescharacteristic
1203C2×C42C2411yescharacteristic
1204C2×C42C2411yescharacteristic
1205#95C2411yescharacteristic
1206#95C2411yescharacteristic
1207#95C2411yescharacteristic
1208#95C2411yescharacteristic
1209#95C2414yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2414yes—
1217#95C2414yes—
1218#95C2414yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2411yescharacteristic
1222#95C2411yescharacteristic
1223#95C2411yescharacteristic
1224#95C2411yescharacteristic
1225#95C2411yescharacteristic
1226#95C2411yescharacteristic
1227#95C2411yescharacteristic
1228#95C2411yescharacteristic
1229#95C2411yescharacteristic
1230#95C2411yescharacteristic
1231#95C2411yescharacteristic
1232#95C2411yescharacteristic
1233#95C2411yescharacteristic
1234#95C2411yescharacteristic
1235#95C2414yes—
1236#95C2414yes—
1237#95C2414yes—
1238#95C2414yes—
1239#95C2414yes—
1240#95C2414yes—
1241#95C2411yescharacteristic
1242#95C2411yescharacteristic
1243#95C2411yescharacteristic
1244#95C2411yescharacteristic
1245#95C2411yescharacteristic
1246#95C2411yescharacteristic
1247#95C2411yescharacteristic
1248#95C2411yescharacteristic
1249#95C2411yescharacteristic
1250#95C2411yescharacteristic
1251#95C2411yescharacteristic
1252#95C2411yescharacteristic
1253#95C2411yescharacteristic
1254#95C2411yescharacteristic
1255#95C2411yescharacteristic
1256#95C2411yescharacteristic
1257#95C2411yescharacteristic
1258#95C2411yescharacteristic
1259#95C2411yescharacteristic
1260#95C2411yescharacteristic
1261#95C2411yescharacteristic
1262#95C2411yescharacteristic
1263#95C2414yes—
1264#95C2414yes—
1265#95C2414yes—
1266#95C2414yes—
1267#95C2414yes—
1268#95C2414yes—
1269#95C2414yes—
1270#95C2414yes—
1271#95C2414yes—
1272#95C2414yes—
1273#95C2414yes—
1274#95C2414yes—
1275#95C2414yes—
1276#95C2414yes—
1277#95C2414yes—
1278#95C2414yes—
1279#95C2414yes—
1280#95C2414yes—
1281#95C2414yes—
1282#95C2414yes—
1283C24C2511yescharacteristic
1284C24C2514yes—
1285#41—432no—
1286C2×Q8—22no—
1287C2×Q8—22no—
1288C2×Q8—22no—
1289C2×Q8—28no—
1290C2×Q8—24no—
1291C2×Q8—22no—
1292C2×Q8—22no—
1293C2×Q8—24no—
1294C2×Q8—41no—
1295C2×Q8—41no—
1296C2×Q8—41no—
1297C2×Q8—41no—
1298C2×Q8—41no—
1299C2×Q8—41no—
1300C2×Q8—44no—
1301C2×Q8—44no—
1302C2×Q8—44no—
1303C2×Q8—44no—
1304C2×Q8—44no—
1305C2×Q8C22×Q818yes—
1306C2×Q8C2×#4114yes—
1307C2×D4—24no—
1308C2×D4—24no—
1309C2×D4—24no—
1310C2×D4—24no—
1311C2×D4—24no—
1312C2×D4—24no—
1313C2×D4—44no—
1314C2×D4—44no—
1315C2×D4C22×Q818yes—
1316C2×D4C22×Q818yes—
1317C2×D4C22×Q818yes—
1318C2×D4C22×Q8116yes—
1319C22×C4—22no—
1320C22×C4—22no—
1321C22×C4—22no—
1322C22×C4—22no—
1323C22×C4—22no—
1324C22×C4—22no—
1325C22×C4—22no—
1326C22×C4—22no—
1327C22×C4—22no—
1328C22×C4—22no—
1329C22×C4—28no—
1330C22×C4—28no—
1331C22×C4—28no—
1332C22×C4—28no—
1333C22×C4—44no—
1334C22×C4—41no—
1335C22×C4—41no—
1336C22×C4—41no—
1337C22×C4—41no—
1338C22×C4—41no—
1339C22×C4—41no—
1340C22×C4—41no—
1341C22×C4—41no—
1342C22×C4—44no—
1343C22×C4—44no—
1344C22×C4—44no—
1345C22×C4—44no—
1346C22×C4—44no—
1347C22×C4—44no—
1348C22×C4—44no—
1349C22×C4—44no—
1350C22×C4—44no—
1351C22×C4—44no—
1352C22×C4—44no—
1353C22×C4—44no—
1354C22×C4—44no—
1355C22×C4—44no—
1356C22×C4—44no—
1357C22×C4C22×Q814yes—
1358C22×C4C22×Q814yes—
1359C22×C4C22×Q814yes—
1360C22×C4C22×Q8116yes—
1361C22×C4C2511yescharacteristic
1362C22×C4C2511yescharacteristic
1363C22×C4C2511yescharacteristic
1364C22×C4C2511yescharacteristic
1365C22×C4C2511yescharacteristic
1366C22×C4C2511yescharacteristic
1367C22×C4C2511yescharacteristic
1368C22×C4C2511yescharacteristic
1369C22×C4C2514yes—
1370C22×C4C2514yes—
1371C22×C4C2511yescharacteristic
1372C22×C4C2511yescharacteristic
1373C22×C4C2511yescharacteristic
1374C22×C4C2514yes—
1375C22×C4C2514yes—
1376C22×C4C2514yes—
1377C22×C4C2514yes—
1378C22×C4C2511yescharacteristic
1379C22×C4C2511yescharacteristic
1380C22×C4C2511yescharacteristic
1381C22×C4C2511yescharacteristic
1382C22×C4C2511yescharacteristic
1383C22×C4C2511yescharacteristic
1384C22×C4C2511yescharacteristic
1385C22×C4C2511yescharacteristic
1386C22×C4C2514yes—
1387C22×C4C2511yescharacteristic
1388C22×C4C2511yescharacteristic
1389C22×C4C2511yescharacteristic
1390C22×C4C2511yescharacteristic
1391C22×C4C2511yescharacteristic
1392C22×C4C2511yescharacteristic
1393C22×C4C2511yescharacteristic
1394C22×C4C2511yescharacteristic
1395C22×C4C2511yescharacteristic
1396C22×C4C2511yescharacteristic
1397C22×C4C2511yescharacteristic
1398C4⋊C4—28no—
1399C4⋊C4—28no—
1400C4⋊C4—28no—
1401C4⋊C4—22no—
1402C4⋊C4—22no—
1403C4⋊C4—22no—
1404C4⋊C4—22no—
1405C4⋊C4—24no—
1406C4⋊C4—24no—
1407C4⋊C4—24no—
1408C4⋊C4—22no—
1409C4⋊C4—22no—
1410C4⋊C4—22no—
1411C4⋊C4—22no—
1412C4⋊C4—22no—
1413C4⋊C4—22no—
1414C4⋊C4—22no—
1415C4⋊C4—22no—
1416C4⋊C4—22no—
1417C4⋊C4—28no—
1418C4⋊C4—28no—
1419C4⋊C4—22no—
1420C4⋊C4—28no—
1421C4⋊C4—24no—
1422C4⋊C4—28no—
1423C4⋊C4—24no—
1424C4⋊C4—24no—
1425C4⋊C4—24no—
1426C4⋊C4—22no—
1427C4⋊C4—22no—
1428C4⋊C4—22no—
1429C4⋊C4—22no—
1430C4⋊C4—22no—
1431C4⋊C4—28no—
1432C4⋊C4—24no—
1433C4⋊C4—24no—
1434C4⋊C4—24no—
1435C4⋊C4—24no—
1436C4⋊C4—24no—
1437C4⋊C4—24no—
1438C4⋊C4—24no—
1439C4⋊C4—24no—
1440C4⋊C4—24no—
1441C4⋊C4—24no—
1442C4⋊C4—24no—
1443C4⋊C4—44no—
1444C4⋊C4—44no—
1445C4⋊C4—41no—
1446C4⋊C4—41no—
1447C4⋊C4—41no—
1448C4⋊C4—41no—
1449C4⋊C4—44no—
1450C4⋊C4—41no—
1451C4⋊C4—41no—
1452C4⋊C4—41no—
1453C4⋊C4—41no—
1454C4⋊C4—41no—
1455C4⋊C4—41no—
1456C4⋊C4—41no—
1457C4⋊C4—41no—
1458C4⋊C4—41no—
1459C4⋊C4—41no—
1460C4⋊C4—41no—
1461C4⋊C4—41no—
1462C4⋊C4—44no—
1463C4⋊C4—44no—
1464C4⋊C4—41no—
1465C4⋊C4—41no—
1466C4⋊C4—41no—
1467C4⋊C4—41no—
1468C4⋊C4—41no—
1469C4⋊C4—41no—
1470C4⋊C4—44no—
1471C4⋊C4—44no—
1472C4⋊C4—44no—
1473C4⋊C4—44no—
1474C4⋊C4—44no—
1475C4⋊C4—44no—
1476C4⋊C4—44no—
1477C4⋊C4—44no—
1478C4⋊C4—44no—
1479C4⋊C4—44no—
1480C4⋊C4—44no—
1481C4⋊C4—44no—
1482C4⋊C4—44no—
1483C4⋊C4—44no—
1484C4⋊C4—44no—
1485C4⋊C4—44no—
1486C4⋊C4—44no—
1487C4⋊C4—44no—
1488C4⋊C4—44no—
1489C4⋊C4C22×Q818yes—
1490C4⋊C4C22×Q818yes—
1491C4⋊C4C2×#4114yes—
1492C4⋊C4C2×#4114yes—
1493C4⋊C4C2×#4114yes—
1494C22⋊C4—22no—
1495C22⋊C4—22no—
1496C22⋊C4—22no—
1497C22⋊C4—22no—
1498C22⋊C4—28no—
1499C22⋊C4—28no—
1500C22⋊C4—28no—
1501C22⋊C4—28no—
1502C22⋊C4—41no—
1503C22⋊C4—41no—
1504C22⋊C4—41no—
1505C22⋊C4—41no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—44no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4—44no—
1512C22⋊C4—44no—
1513C22⋊C4—44no—
1514C22⋊C4—44no—
1515C22⋊C4—44no—
1516C22⋊C4—44no—
1517C22⋊C4—44no—
1518C22⋊C4—44no—
1519C22⋊C4—44no—
1520C22⋊C4—44no—
1521C22⋊C4—44no—
1522C22⋊C4—44no—
1523C22⋊C4C22×Q8116yes—
1524C22⋊C4C22×Q8116yes—
1525C42—22no—
1526C42—22no—
1527C42—22no—
1528C42—22no—
1529C42—22no—
1530C42—22no—
1531C42—22no—
1532C42—22no—
1533C42—28no—
1534C42—22no—
1535C42—22no—
1536C42—22no—
1537C42—22no—
1538C42—22no—
1539C42—22no—
1540C42—22no—
1541C42—22no—
1542C42—22no—
1543C42—22no—
1544C42—22no—
1545C42—22no—
1546C42—22no—
1547C42—22no—
1548C42—22no—
1549C42—22no—
1550C42—22no—
1551C42—22no—
1552C42—22no—
1553C42—22no—
1554C42—22no—
1555C42—22no—
1556C42—22no—
1557C42—22no—
1558C42—22no—
1559C42—22no—
1560C42—22no—
1561C42—22no—
1562C42—41no—
1563C42—41no—
1564C42—41no—
1565C42—41no—
1566C42—41no—
1567C42—41no—
1568C42—41no—
1569C42—41no—
1570C42—44no—
1571C42—44no—
1572C42—44no—
1573C42—44no—
1574C42—44no—
1575C42—44no—
1576C42—44no—
1577C42—44no—
1578C42C22×Q814yes—
1579C42C22×Q814yes—
1580C42C22×Q814yes—
1581C42C22×Q814yes—
1582C42C2×#4114yes—
1583C42C2×#4114yes—
1584C42C2×#4114yes—
1585C42H(5,𝔽2)14yes—
1586C23—21no—
1587C23—24no—
1588C23—24no—
1589C23—21no—
1590C23—21no—
1591C23—21no—
1592C23—21no—
1593C23—24no—
1594C23—24no—
1595C23—24no—
1596C23—24no—
1597C23—21no—
1598C23C23×Q818yes—
1599C23C23×Q812yes—
1600C23C2611yescharacteristic
1601Q8—216no—
1602Q8—44no—
1603Q8—44no—
1604Q8—44no—
1605Q8—44no—
1606Q8—88no—
1607Q8—164no—
1608D4—216no—
1609D4—216no—
1610D4—216no—
1611D4—416no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—24no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—24no—
1635C2×C4—21no—
1636C2×C4—28no—
1637C2×C4—28no—
1638C2×C4—28no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—24no—
1645C2×C4—24no—
1646C2×C4—24no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—24no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—24no—
1656C2×C4—24no—
1657C2×C4—24no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—24no—
1695C2×C4—24no—
1696C2×C4—24no—
1697C2×C4—24no—
1698C2×C4—24no—
1699C2×C4—24no—
1700C2×C4—24no—
1701C2×C4—24no—
1702C2×C4—24no—
1703C2×C4—24no—
1704C2×C4—24no—
1705C2×C4—416no—
1706C2×C4—44no—
1707C2×C4—44no—
1708C2×C4—44no—
1709C2×C4—44no—
1710C2×C4—88no—
1711C2×C4—88no—
1712C2×C4—88no—
1713C2×C4—88no—
1714C2×C4—164no—
1715C2×C4—164no—
1716C2×C4C23×Q812yes—
1717C2×C4C23×Q812yes—
1718C2×C4C23×Q812yes—
1719C2×C4C23×Q818yes—
1720C2×C4C23×Q812yes—
1721C2×C4C23×Q812yes—
1722C2×C4C23×Q812yes—
1723C2×C4C22×#4112yes—
1724C2×C4C22×#4112yes—
1725C2×C4C22×#4112yes—
1726C2×C4C22×#4112yes—
1727C2×C4C22×#4112yes—
1728C2×C4C22×#4112yes—
1729C2×C4C22×#4112yes—
1730C2×C4C2×H(5,𝔽2)12yes—
1731C2×C4C2×H(5,𝔽2)12yes—
1732C2×C4C2×H(5,𝔽2)12yes—
1733C2×C4#58512yes—
1734C2×C4#58512yes—
1735C2×C4#58512yes—
1736C2×C4#58512yes—
1737C22—22no—
1738C22—28no—
1739C22—22no—
1740C22—28no—
1741C22—22no—
1742C22—28no—
1743C22—41no—
1744C22—44no—
1745C22—41no—
1746C22—44no—
1747C22—41no—
1748C22—44no—
1749C22—41no—
1750C22—44no—
1751C22C24×Q811yescharacteristic
1752C22C23×#4111yescharacteristic
1753C22C22×H(5,𝔽2)11yescharacteristic
1754C22C2×#58511yescharacteristic
1755C22C2×#58511yescharacteristic
1756C22C2×#58511yescharacteristic
1757C22C2×#58511yescharacteristic
1758C4—22no—
1759C4—28no—
1760C4—22no—
1761C4—22no—
1762C4—22no—
1763C4—22no—
1764C4—22no—
1765C4—22no—
1766C4—22no—
1767C4—22no—
1768C4—22no—
1769C4—22no—
1770C4—44no—
1771C4—44no—
1772C4—41no—
1773C4—41no—
1774C4—41no—
1775C4—44no—
1776C4—41no—
1777C4—41no—
1778C4—41no—
1779C4—41no—
1780C4—41no—
1781C4—44no—
1782C4—41no—
1783C4—44no—
1784C4—41no—
1785C4—41no—
1786C4—41no—
1787C4—41no—
1788C4—41no—
1789C4—41no—
1790C4—44no—
1791C4—41no—
1792C4Q8×#4114yes—
1793C4#350114yes—
1794C4#350414yes—
1795C2—42no—
1796C2—48no—
1797C2C2×Q8×#4111yescharacteristic
1798C2C2×#350111yescharacteristic
1799C2#6280011yescharacteristic
1800C2C2×#350411yescharacteristic
1801C2#6281511yescharacteristic
1802C2#6283611yescharacteristic
1803C2#6283911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#532C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59921C2semidirect
2. #59919C2semidirect
3. #59909C2semidirect
4. #59833C2semidirect
5. #59771C2semidirect
6. #59569C2semidirect
7. #59463C2semidirect
8. #59462C2semidirect
9. #39985C2semidirect
10. #39984C2semidirect
11. #39973C2semidirect
12. #39972C2semidirect
13. #39694C2semidirect
14. #39692C2semidirect
15. #39602C2semidirect
16. #39590C2semidirect
17. #36640C2semidirect
18. #36574C2semidirect
19. #36574C2semidirect
20. #36573C2semidirect
21. #36573C2semidirect
22. #36563C2semidirect
23. #36560C2semidirect
24. #36559C2semidirect
25. #36559C2semidirect
26. #36479C2semidirect
27. #36431C2semidirect
28. #36239C2semidirect
29. #36219C2semidirect
30. #35612C2semidirect
31. #35602C2semidirect
32. #35294C2semidirect
33. #35294C2semidirect
34. #35175C2semidirect
35. #34333C2semidirect
38. C4×#533C2semidirect
336. #532Q8semidirect
976. C4×Q8#41semidirect

Maximal subgroups

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

subgroupindex
#599212
#599192
#599092
#598332
#597712
#595692
#594632
#594622
#399852
#399842
#399732
#399722
#396942
#396922
#396022
#395902
#366402
#365742
#365732
#365632
#365602
#365592
#364792
#364312
#362392
#362192
#356122
#356022
#352942
#351752
#343332
#342262
C4×#5332
C4×#5322