Finite Group Databasebeta

← #7684787

Subgroups — #7684787

Order 512.

5586 conjugacy classes of subgroups.

The subgroup lattice has 1775 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59948C214yesmaximal, complemented
2#59767C212yesmaximal, complemented
3#59427C211yesmaximal, characteristic, complemented
4#59230C211yesmaximal, characteristic, complemented
5#59229C211yesmaximal, characteristic, complemented
6#59225C212yesmaximal, complemented
7#59203C212yesmaximal, complemented
8#59135C212yesmaximal, complemented
9#45384C212yesmaximal, complemented
10#45078C212yesmaximal, complemented
11#43645C214yesmaximal, complemented
12#43056C214yesmaximal, complemented
13#39505C211yesmaximal, characteristic, complemented
14#39504C212yesmaximal, complemented
15#38940C211yesmaximal, characteristic, complemented
16#38939C212yesmaximal, complemented
17#38284C212yesmaximal, complemented
18#38281C214yesmaximal, complemented
19#36303C212yesmaximal, complemented
20#36288C211yesmaximal, characteristic, complemented
21#36259C211yesmaximal, characteristic, complemented
22#36235C212yesmaximal, complemented
23#36203C212yesmaximal, complemented
24#36194C211yesmaximal, characteristic, complemented
25#36153C211yesmaximal, characteristic, complemented
26D4×C4⋊Q8C211yesmaximal, characteristic, complemented
27#35939C212yesmaximal, complemented
28#35821C212yesmaximal, complemented
29#34800C211yesmaximal, characteristic, complemented
30C2×#2439C212yesmaximal, complemented
31#34308C211yesmaximal, characteristic, complemented
32#34260C212yesmaximal, complemented
33#34191C211yesmaximal, characteristic, complemented
34C4×#546C211yesmaximal, characteristic, complemented
35D4×#117C211yesmaximal, characteristic, complemented
36C2×#555C2212yescomplemented
37C2×D4×Q8C2212yes—
38C2×#547C2211yescharacteristic
39C2×#547C2212yes—
40C2×#546C2211yescharacteristic
41C2×#546C2212yes—
42C22×C4⋊Q8C2212yescomplemented
43C2×#520C2212yes—
44C2×C4×#41C2211yescharacteristic
45C22×C4×D4C2211yescharacteristic
46C22×#117C2212yes—
47#2868C2211yescharacteristic, complemented
48#2862C2212yescomplemented
49#2857C2211yescharacteristic
50#2857C2212yescomplemented
51#2857C2211yescharacteristic, complemented
52#2854C2212yescomplemented
53#2850C2214yescomplemented
54#2847C2212yes—
55#2809C2214yescomplemented
56#2808C2214yescomplemented
57#2795C2214yescomplemented
58#2785C2214yescomplemented
59#2784C2214yes—
60#2783C2214yescomplemented
61#2783C2214yescomplemented
62#2783C2214yescomplemented
63#2781C2214yescomplemented
64#2775C2214yescomplemented
65#2775C2214yescomplemented
66#2775C2214yescomplemented
67#2769C2214yescomplemented
68#2744C2214yes—
69#2744C2214yescomplemented
70#2737C2214yes—
71#2737C2214yescomplemented
72#2731C2214yescomplemented
73#2731C2214yescomplemented
74#2731C2214yescomplemented
75#2686C2214yescomplemented
76#2640C2212yes—
77#2639C2214yes—
78#2620C2212yes—
79#2618C2214yes—
80#2612C2214yescomplemented
81#2612C2214yescomplemented
82#2610C2214yes—
83#2609C2214yes—
84#2592C2212yes—
85#2574C2214yes—
86#2574C2214yescomplemented
87#2574C2214yescomplemented
88#2572C2214yes—
89#2571C2212yescomplemented
90#2568C2212yescomplemented
91#2563C2212yes—
92#2563C2212yes—
93#2563C2212yescomplemented
94#2563C2212yescomplemented
95#2561C2214yes—
96#2551C2212yescomplemented
97#2551C2211yescharacteristic, complemented
98#2551C2211yescharacteristic, complemented
99#2547C2211yescharacteristic
100#2547C2212yescomplemented
101#2546C2212yescomplemented
102#2546C2211yescharacteristic, complemented
103#2545C2212yes—
104#2538C2212yes—
105#2538C2211yescharacteristic, complemented
106#2537C2211yescharacteristic
107#2534C2214yes—
108#2532C2214yescomplemented
109#2532C2212yescomplemented
110#2531C2214yescomplemented
111#2529C2214yescomplemented
112#2526C2214yes—
113#2526C2212yescomplemented
114#2518C2212yes—
115#2518C2214yescomplemented
116#2513C2211yescharacteristic, complemented
117#2508C2212yescomplemented
118#2508C2212yescomplemented
119#2508C2211yescharacteristic, complemented
120#2503C2214yescomplemented
121#2500C2211yescharacteristic
122#2500C2212yescomplemented
123#2497C2212yes—
124#2497C2212yescomplemented
125#2497C2212yescomplemented
126#2497C2211yescharacteristic, complemented
127#2497C2212yescomplemented
128#2495C2212yescomplemented
129#2495C2212yescomplemented
130#2492C2212yes—
131#2492C2212yes—
132#2492C2212yescomplemented
133#2492C2212yescomplemented
134#2492C2212yescomplemented
135#2492C2212yescomplemented
136#2491C2212yes—
137#2491C2212yes—
138#2491C2212yescomplemented
139#2491C2214yescomplemented
140#2491C2211yescharacteristic, complemented
141#2488C2214yes—
142#2488C2214yes—
143#2488C2214yescomplemented
144#2488C2214yescomplemented
145#2488C2214yescomplemented
146#2488C2214yescomplemented
147#2486C2212yes—
148#2486C2212yescomplemented
149#2485C2211yescharacteristic
150#2485C2212yescomplemented
151#2485C2212yescomplemented
152#2476C2214yescomplemented
153#2474C2214yescomplemented
154#2474C2214yescomplemented
155#2472C2214yes—
156#2472C2214yes—
157#2459C2212yes—
158#2440C2212yescomplemented
159#2440C2214yescomplemented
160#2440C2212yescomplemented
161#2439C2214yes—
162#2439C2212yes—
163#2439C2214yes—
164#2439C2212yes—
165#2439C2212yes—
166#2439C2211yescharacteristic
167#2439C2212yescomplemented
168#2439C2212yescomplemented
169#2439C2214yescomplemented
170#2439C2214yescomplemented
171#2439C2212yescomplemented
172#2439C2212yescomplemented
173#2439C2212yescomplemented
174#2439C2214yescomplemented
175#2436C2214yes—
176#2436C2214yescomplemented
177#2434C2214yescomplemented
178#2429C2212yes—
179#2429C2212yescomplemented
180#2427C2212yes—
181#2426C2212yes—
182#2425C2214yes—
183#2425C2214yes—
184#2425C2214yescomplemented
185#2424C2214yes—
186#2420C2212yescomplemented
187#2417C2212yes—
188#2417C2212yes—
189#2416C2212yes—
190#2416C2212yes—
191#2416C2214yes—
192#2416C2212yescomplemented
193#2415C2212yescomplemented
194#2414C2211yescharacteristic
195#2413C2214yes—
196#2413C2214yescomplemented
197#2412C2214yes—
198#2411C2214yes—
199#2398C2212yes—
200#2392C2212yes—
201C2×#396C2214yes—
202C2×#393C2214yes—
203#2372C2214yescomplemented
204#2369C2212yescomplemented
205#2369C2212yescomplemented
206#2367C2211yescharacteristic
207#2365C2211yescharacteristic, complemented
208#2364C2212yes—
209#2363C2212yes—
210#2363C2211yescharacteristic
211#2361C2212yescomplemented
212#2360C2211yescharacteristic
213#2360C2212yescomplemented
214#2359C2212yes—
215#2359C2214yescomplemented
216#2358C2212yes—
217#2356C2212yescomplemented
218#2355C2211yescharacteristic, complemented
219#2355C2211yescharacteristic, complemented
220#2355C2212yescomplemented
221#2354C2211yescharacteristic
222#2354C2211yescharacteristic
223#2354C2212yes—
224#2353C2214yescomplemented
225#2352C2211yescharacteristic
226#2352C2212yes—
227#2352C2212yes—
228#2352C2214yescomplemented
229#2352C2212yescomplemented
230#2352C2212yescomplemented
231#2349C2211yescharacteristic
232D4×C4⋊C4C2211yescharacteristic
233D4×C4⋊C4C2211yescharacteristic
234D4×C4⋊C4C2211yescharacteristic
235D4×C4⋊C4C2212yes—
236D4×C4⋊C4C2211yescharacteristic, complemented
237#2346C2212yes—
238#2346C2212yescomplemented
239#2346C2212yescomplemented
240#2345C2212yescomplemented
241#2344C2212yes—
242#2344C2212yescomplemented
243#2344C2212yescomplemented
244#2343C2214yescomplemented
245#2343C2214yescomplemented
246#2343C2214yescomplemented
247#2342C2212yes—
248#2342C2214yes—
249#2339C2212yes—
250#2339C2212yes—
251#2339C2212yes—
252#2339C2211yescharacteristic
253#2339C2212yes—
254D4×C22⋊C4C2212yes—
255D4×C22⋊C4C2211yescharacteristic
256#2323C2212yescomplemented
257#2322C2214yescomplemented
258#2320C2212yescomplemented
259#2320C2212yescomplemented
260#2318C2214yescomplemented
261#2318C2214yescomplemented
262#2314C2212yescomplemented
263#2313C2214yescomplemented
264C4×C4⋊Q8C2211yescharacteristic, complemented
265C4×C4⋊Q8C2211yescharacteristic, complemented
266C4×#124C2211yescharacteristic
267C4×#124C2212yescomplemented
268C4×C22⋊Q8C2211yescharacteristic
269C4×#123C2212yes—
270C4×#121C2211yescharacteristic
271C4×#121C2211yescharacteristic
272C4×#121C2212yes—
273C4×#121C2212yescomplemented
274C4×#121C2211yescharacteristic, complemented
275C4×#120C2212yes—
276#2298C2212yescomplemented
277#2295C2212yescomplemented
278C2×#391C2214yescomplemented
279#2293C2212yes—
280#2293C2211yescharacteristic, complemented
281C2×#389C2212yescomplemented
282C2×#389C2212yescomplemented
283#2290C2214yes—
284#2290C2214yescomplemented
285C2×#387C2214yescomplemented
286#2285C2211yescharacteristic
287#2285C2211yescharacteristic, complemented
288#2283C2211yescharacteristic, complemented
289#2283C2212yescomplemented
290C2×#382C2212yescomplemented
291#2280C2212yes—
292C2×#380C2212yes—
293#2275C2212yes—
294C42×D4C2211yescharacteristic
295C42×D4C2212yes—
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C22⋊C4C2212yes—
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C23×Q8C2314yes—
302C23×D4C2311yescharacteristic
303C24×C4C2312yes—
304#555—48no—
305D4×Q8—48no—
306#547—28no—
307#547—48no—
308#546—28no—
309#546—48no—
310C2×C4⋊Q8—48no—
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×#124C2311yescharacteristic
324C2×#124C2312yes—
325C2×#124C2314yes—
326C2×#124C2314yes—
327C2×#124C2314yes—
328C2×#124C2312yes—
329C2×#123C2314yes—
330C2×#123C2312yes—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×#123C2314yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2311yescharacteristic
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2312yes—
342C2×#121C2311yescharacteristic
343C2×#121C2312yes—
344C2×#121C2312yes—
345C2×#121C2311yescharacteristic
346C2×#121C2311yescharacteristic
347C2×#121C2312yes—
348C2×#121C2314yes—
349C2×#121C2312yes—
350C2×#121C2314yes—
351C2×#121C2314yes—
352C2×#120C2312yes—
353C2×#120C2314yes—
354#520—216no—
355C4×#41—28no—
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2312yes—
361C2×C4×D4—28no—
362C2×C4×D4C2312yes—
363C2×C4×D4C2314yes—
364C2×C4×D4C2314yes—
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2312yes—
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2312yes—
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2312yes—
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2312yes—
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2312yes—
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2312yes—
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2311yescharacteristic
386C2×#117—48no—
387C2×#117C2312yes—
388C2×#117C2312yes—
389C2×#117C2314yes—
390C2×#117C2311yescharacteristic
391C2×#117C2311yescharacteristic
392C2×#117C2312yes—
393C2×#117C2311yescharacteristic
394C2×#117C2314yes—
395C2×#117C2314yes—
396C2×#117C2312yes—
397C2×#117C2312yes—
398C2×#117C2312yes—
399C2×#117C2314yes—
400C22×C4⋊C4C2314yes—
401C22×C4⋊C4C2311yescharacteristic
402C22×C4⋊C4C2312yes—
403C22×C4⋊C4C2312yes—
404C22×C4⋊C4C2312yes—
405C22×C4⋊C4C2312yes—
406C22×C4⋊C4C2314yes—
407C22×C4⋊C4C2312yes—
408C22×C4⋊C4C2314yes—
409C22×C22⋊C4C2312yes—
410C22×C22⋊C4C2312yes—
411C22×C22⋊C4C2314yes—
412C22×C22⋊C4C2314yes—
413C22×C22⋊C4C2312yes—
414C22×C42C2312yes—
415C22×C42C2311yescharacteristic
416C22×C42C2311yescharacteristic
417C22×C42C2314yes—
418C22×C42C2312yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2314yes—
424#400C2314yes—
425#400C2312yes—
426#400C2312yes—
427#400C2314yes—
428#400C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2312yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#397C2312yes—
438#397C2314yes—
439#397C2312yes—
440#397C2314yes—
441#397C2314yes—
442#397C2312yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2312yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2312yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#395C2314yes—
464#395C2314yes—
465#395C2314yes—
466#395C2314yes—
467#394C2312yes—
468#394C2312yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2312yes—
477#394C2312yes—
478#394C2312yes—
479#394C2314yes—
480#394C2314yes—
481#393C2314yes—
482#393C2314yes—
483#393C2314yes—
484#393C2314yes—
485#393C2314yes—
486#393C2314yes—
487#393C2314yes—
488#393C2314yes—
489#393C2314yes—
490#393C2314yes—
491#393C2314yes—
492#393C2312yes—
493#393C2314yes—
494#393C2314yes—
495#393C2312yes—
496#392C2312yes—
497#391C2312yes—
498#391C2312yes—
499#391C2311yescharacteristic
500#391C2312yes—
501#391C2312yes—
502#391C2314yes—
503#391C2314yes—
504#391C2314yes—
505#391C2314yes—
506#391C2312yes—
507#391C2312yes—
508#391C2312yes—
509#391C2312yes—
510#391C2314yes—
511#391C2312yes—
512#391C2311yescharacteristic
513#391C2314yes—
514#391C2314yes—
515#391C2314yes—
516#391C2314yes—
517#391C2312yes—
518#391C2314yes—
519#391C2314yes—
520#390C2314yes—
521#390C2314yes—
522#390C2311yescharacteristic
523#390C2312yes—
524#390C2314yes—
525#390C2311yescharacteristic
526#390C2312yes—
527#390C2312yes—
528#390C2311yescharacteristic
529#390C2312yes—
530#390C2311yescharacteristic
531#390C2312yes—
532#390C2311yescharacteristic
533#390C2311yescharacteristic
534#389C2312yes—
535#389C2311yescharacteristic
536#389C2312yes—
537#389C2311yescharacteristic
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2314yes—
542#389C2311yescharacteristic
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2314yes—
547#389C2312yes—
548#389C2312yes—
549#389C2311yescharacteristic
550#389C2312yes—
551#389C2312yes—
552#389C2311yescharacteristic
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2314yes—
558#389C2312yes—
559#389C2314yes—
560#389C2314yes—
561#389C2312yes—
562#389C2314yes—
563#389C2312yes—
564#389C2314yes—
565#389C2311yescharacteristic
566#389C2311yescharacteristic
567#389C2312yes—
568#389C2311yescharacteristic
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2312yes—
578#388C2314yes—
579#388C2314yes—
580#388C2312yes—
581#388C2314yes—
582#388C2314yes—
583#388C2312yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2312yes—
596#388C2312yes—
597#388C2312yes—
598#388C2312yes—
599#388C2314yes—
600#388C2314yes—
601#388C2312yes—
602#388C2312yes—
603#388C2312yes—
604#388C2312yes—
605#388C2312yes—
606#388C2312yes—
607#388C2312yes—
608#388C2314yes—
609#388C2312yes—
610#388C2312yes—
611#388C2312yes—
612#388C2312yes—
613#388C2312yes—
614#387C2312yes—
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#387C2312yes—
628#387C2312yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2312yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2312yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2312yes—
643#387C2312yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2312yes—
656#386C2312yes—
657#386C2312yes—
658#386C2314yes—
659#386C2312yes—
660#386C2314yes—
661#386C2312yes—
662#386C2312yes—
663#386C2312yes—
664#386C2314yes—
665#386C2312yes—
666#386C2312yes—
667#385C2312yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2312yes—
672#385C2312yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2312yes—
677#385C2312yes—
678#385C2314yes—
679#384C2311yescharacteristic
680#384C2311yescharacteristic
681#384C2312yes—
682#384C2312yes—
683#384C2311yescharacteristic
684#384C2311yescharacteristic
685#384C2312yes—
686#383C2314yes—
687#383C2314yes—
688#383C2314yes—
689#383C2312yes—
690#382C2314yes—
691#382C2314yes—
692#382C2312yes—
693#382C2314yes—
694#382C2312yes—
695#382C2314yes—
696#382C2311yescharacteristic
697#382C2312yes—
698#382C2314yes—
699#382C2314yes—
700#382C2314yes—
701#382C2314yes—
702#382C2312yes—
703#382C2311yescharacteristic
704#382C2311yescharacteristic
705#382C2312yes—
706#381C2314yes—
707#381C2314yes—
708#381C2314yes—
709#381C2314yes—
710#381C2314yes—
711#381C2312yes—
712#381C2312yes—
713#381C2314yes—
714#380C2311yescharacteristic
715#380C2312yes—
716#380C2312yes—
717#380C2312yes—
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2311yescharacteristic
723#380C2314yes—
724#380C2314yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2314yes—
730#380C2312yes—
731#380C2314yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2311yescharacteristic
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2311yescharacteristic
741#380C2314yes—
742#380C2311yescharacteristic
743#380C2312yes—
744#380C2311yescharacteristic
745#379C2312yes—
746#379C2314yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C22⋊C4C2314yes—
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2311yescharacteristic
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807#376C2312yes—
808#376C2314yes—
809#376C2314yes—
810#376C2314yes—
811#376C2312yes—
812C2×#95C2314yes—
813C2×#95C2314yes—
814C2×#95C2314yes—
815C2×#95C2314yes—
816C2×#95C2312yes—
817C2×#95C2314yes—
818C2×#95C2312yes—
819C43C2311yescharacteristic
820C43C2312yes—
821C25C2412yes—
822C2×#41—24no—
823C2×#41—28no—
824C2×#41—24no—
825C2×#41—28no—
826C2×#41—28no—
827C2×#41—24no—
828C22×Q8—48no—
829C22×Q8—48no—
830C22×Q8—48no—
831C22×Q8C2411yescharacteristic
832C22×Q8C2412yes—
833C22×Q8C2412yes—
834C22×Q8C2414yes—
835C22×Q8C2414yes—
836C22×Q8C2414yes—
837C22×D4—24no—
838C22×D4—24no—
839C22×D4—24no—
840C22×D4C2411yescharacteristic
841C22×D4C2412yes—
842C22×D4C2414yes—
843C22×D4C2412yes—
844C22×D4C2411yescharacteristic
845C22×D4C2411yescharacteristic
846C22×D4C2412yes—
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2414yes—
850C22×D4C2411yescharacteristic
851C23×C4—28no—
852C23×C4—28no—
853C23×C4—44no—
854C23×C4C2414yes—
855C23×C4C2412yes—
856C23×C4C2412yes—
857C23×C4C2411yescharacteristic
858C23×C4C2411yescharacteristic
859C23×C4C2412yes—
860C23×C4C2411yescharacteristic
861C23×C4C2414yes—
862C23×C4C2412yes—
863C23×C4C2412yes—
864C23×C4C2412yes—
865C23×C4C2412yes—
866C23×C4C2412yes—
867C23×C4C2411yescharacteristic
868C23×C4C2411yescharacteristic
869C23×C4C2414yes—
870C23×C4C2414yes—
871C23×C4C2412yes—
872C23×C4C2414yes—
873C23×C4C2411yescharacteristic
874C23×C4C2412yes—
875C4⋊Q8—24no—
876C4⋊Q8—28no—
877C4⋊Q8—24no—
878C4⋊Q8—44no—
879C4⋊Q8—44no—
880C4⋊Q8—44no—
881C4⋊Q8—44no—
882C4⋊Q8—44no—
883C4⋊Q8—44no—
884C4⋊Q8—44no—
885C4⋊Q8—48no—
886C4⋊Q8—48no—
887#124—24no—
888#124—44no—
889#124—48no—
890#124—48no—
891#124—44no—
892#124—48no—
893#123—28no—
894#123—216no—
895#123—48no—
896#123—48no—
897#123—48no—
898C22⋊Q8—24no—
899C22⋊Q8—28no—
900C22⋊Q8—48no—
901C22⋊Q8—48no—
902C22⋊Q8—48no—
903C22⋊Q8—44no—
904C22⋊Q8—44no—
905C22⋊Q8—44no—
906#121—28no—
907#121—28no—
908#121—24no—
909#121—24no—
910#121—24no—
911#121—48no—
912#121—44no—
913#121—44no—
914#121—48no—
915#121—48no—
916#120—28no—
917#120—48no—
918C4×Q8—24no—
919C4×Q8—28no—
920C4×Q8—24no—
921C4×Q8—28no—
922C4×Q8—44no—
923C4×D4—24no—
924C4×D4—24no—
925C4×D4—28no—
926C4×D4—28no—
927C4×D4—28no—
928C4×D4—24no—
929C4×D4—28no—
930C4×D4—28no—
931C4×D4—216no—
932C4×D4—24no—
933C4×D4—24no—
934C4×D4—28no—
935C4×D4—28no—
936C4×D4—216no—
937C4×D4—24no—
938C4×D4—24no—
939C4×D4—24no—
940C4×D4—42no—
941C4×D4—44no—
942C4×D4—44no—
943C4×D4—44no—
944C4×D4—44no—
945C4×D4#4118yes—
946C4×D4#4118yes—
947#117—24no—
948#117—24no—
949#117—24no—
950#117—28no—
951#117—28no—
952#117—216no—
953#117—28no—
954#117—48no—
955#117—48no—
956#117—48no—
957#117—44no—
958#117—44no—
959#117—44no—
960C2×C4⋊C4—216no—
961C2×C4⋊C4—28no—
962C2×C4⋊C4—24no—
963C2×C4⋊C4—28no—
964C2×C4⋊C4—28no—
965C2×C4⋊C4—44no—
966C2×C4⋊C4—44no—
967C2×C4⋊C4—48no—
968C2×C4⋊C4—48no—
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C4⋊C4C2411yescharacteristic
1028C2×C4⋊C4C2411yescharacteristic
1029C2×C22⋊C4—28no—
1030C2×C22⋊C4—28no—
1031C2×C22⋊C4—44no—
1032C2×C22⋊C4—48no—
1033C2×C22⋊C4—48no—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2411yescharacteristic
1036C2×C22⋊C4C2411yescharacteristic
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2411yescharacteristic
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2411yescharacteristic
1058C2×C22⋊C4C2411yescharacteristic
1059C2×C22⋊C4C2411yescharacteristic
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C42—28no—
1095C2×C42—24no—
1096C2×C42—24no—
1097C2×C42—48no—
1098C2×C42—44no—
1099C2×C42C2414yes—
1100C2×C42C2412yes—
1101C2×C42C2412yes—
1102C2×C42C2411yescharacteristic
1103C2×C42C2412yes—
1104C2×C42C2414yes—
1105C2×C42C2414yes—
1106C2×C42C2412yes—
1107C2×C42C2412yes—
1108C2×C42C2412yes—
1109C2×C42C2412yes—
1110C2×C42C2411yescharacteristic
1111C2×C42C2411yescharacteristic
1112C2×C42C2411yescharacteristic
1113C2×C42C2411yescharacteristic
1114C2×C42C2411yescharacteristic
1115C2×C42C2412yes—
1116C2×C42C2412yes—
1117C2×C42C2411yescharacteristic
1118C2×C42C2411yescharacteristic
1119C2×C42C2411yescharacteristic
1120C2×C42C2411yescharacteristic
1121C2×C42C2414yes—
1122C2×C42C2414yes—
1123C2×C42C2414yes—
1124C2×C42C2412yes—
1125C2×C42C2414yes—
1126C2×C42C2412yes—
1127C2×C42C2412yes—
1128C2×C42C2411yescharacteristic
1129C2×C42C2412yes—
1130C2×C42C2414yes—
1131C2×C42C2411yescharacteristic
1132C2×C42C2411yescharacteristic
1133#95C2412yes—
1134#95C2411yescharacteristic
1135#95C2411yescharacteristic
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2414yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2411yescharacteristic
1178#95C2414yes—
1179#95C2414yes—
1180#95C2411yescharacteristic
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2411yescharacteristic
1185#95C2411yescharacteristic
1186#95C2412yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2412yes—
1202#95C2412yes—
1203C24—24no—
1204C24—24no—
1205C24—24no—
1206C24—24no—
1207C24—42no—
1208C24—42no—
1209C24—42no—
1210C24C2512yes—
1211C24C2512yes—
1212C24C2511yescharacteristic
1213C24C2511yescharacteristic
1214C24C2512yes—
1215#41—416no—
1216#41—432no—
1217C2×Q8—22no—
1218C2×Q8—24no—
1219C2×Q8—22no—
1220C2×Q8—24no—
1221C2×Q8—24no—
1222C2×Q8—22no—
1223C2×Q8—24no—
1224C2×Q8—28no—
1225C2×Q8—24no—
1226C2×Q8—28no—
1227C2×Q8—42no—
1228C2×Q8—44no—
1229C2×Q8—44no—
1230C2×Q8—44no—
1231C2×Q8—44no—
1232C2×Q8—44no—
1233C2×Q8—44no—
1234C2×Q8—44no—
1235C2×Q8—832no—
1236C2×D4—24no—
1237C2×D4—24no—
1238C2×D4—28no—
1239C2×D4—24no—
1240C2×D4—24no—
1241C2×D4—28no—
1242C2×D4—28no—
1243C2×D4—24no—
1244C2×D4—24no—
1245C2×D4—22no—
1246C2×D4—24no—
1247C2×D4—22no—
1248C2×D4—22no—
1249C2×D4—22no—
1250C2×D4—22no—
1251C2×D4—24no—
1252C2×D4—22no—
1253C2×D4—22no—
1254C2×D4—24no—
1255C2×D4—22no—
1256C2×D4—41no—
1257C2×D4—42no—
1258C2×D4—42no—
1259C2×D4—42no—
1260C2×D4—42no—
1261C2×D4—42no—
1262C2×D4—42no—
1263C2×D4—44no—
1264C2×D4—44no—
1265C2×D4—44no—
1266C2×D4—416no—
1267C2×D4C2×#4114yes—
1268C2×D4C2×#4114yes—
1269C2×D4H(5,𝔽2)14yes—
1270C22×C4—22no—
1271C22×C4—24no—
1272C22×C4—22no—
1273C22×C4—24no—
1274C22×C4—24no—
1275C22×C4—24no—
1276C22×C4—28no—
1277C22×C4—28no—
1278C22×C4—24no—
1279C22×C4—28no—
1280C22×C4—24no—
1281C22×C4—28no—
1282C22×C4—24no—
1283C22×C4—24no—
1284C22×C4—24no—
1285C22×C4—28no—
1286C22×C4—28no—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—24no—
1291C22×C4—24no—
1292C22×C4—24no—
1293C22×C4—24no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—24no—
1297C22×C4—28no—
1298C22×C4—24no—
1299C22×C4—22no—
1300C22×C4—24no—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—24no—
1305C22×C4—24no—
1306C22×C4—24no—
1307C22×C4—24no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—28no—
1311C22×C4—42no—
1312C22×C4—42no—
1313C22×C4—42no—
1314C22×C4—42no—
1315C22×C4—42no—
1316C22×C4—42no—
1317C22×C4—44no—
1318C22×C4—432no—
1319C22×C4—44no—
1320C22×C4—42no—
1321C22×C4—44no—
1322C22×C4—44no—
1323C22×C4—41no—
1324C22×C4—41no—
1325C22×C4—41no—
1326C22×C4—41no—
1327C22×C4—44no—
1328C22×C4—42no—
1329C22×C4—44no—
1330C22×C4—44no—
1331C22×C4C2×#4118yes—
1332C22×C4C2×#4118yes—
1333C22×C42−1+414yes—
1334C22×C4C2511yescharacteristic
1335C22×C4C2512yes—
1336C22×C4C2512yes—
1337C22×C4C2511yescharacteristic
1338C22×C4C2512yes—
1339C22×C4C2512yes—
1340C22×C4C2511yescharacteristic
1341C22×C4C2514yes—
1342C22×C4C2512yes—
1343C22×C4C2511yescharacteristic
1344C22×C4C2512yes—
1345C22×C4C2511yescharacteristic
1346C22×C4C2512yes—
1347C22×C4C2512yes—
1348C22×C4C2514yes—
1349C22×C4C2511yescharacteristic
1350C22×C4C2512yes—
1351C22×C4C2512yes—
1352C22×C4C2514yes—
1353C22×C4C2514yes—
1354C22×C4C2511yescharacteristic
1355C22×C4C2511yescharacteristic
1356C22×C4C2512yes—
1357C22×C4C2512yes—
1358C22×C4C2511yescharacteristic
1359C22×C4C2512yes—
1360C22×C4C2511yescharacteristic
1361C22×C4C2511yescharacteristic
1362C22×C4C2511yescharacteristic
1363C22×C4C2511yescharacteristic
1364C4⋊C4—28no—
1365C4⋊C4—24no—
1366C4⋊C4—22no—
1367C4⋊C4—24no—
1368C4⋊C4—22no—
1369C4⋊C4—28no—
1370C4⋊C4—28no—
1371C4⋊C4—24no—
1372C4⋊C4—24no—
1373C4⋊C4—28no—
1374C4⋊C4—24no—
1375C4⋊C4—22no—
1376C4⋊C4—24no—
1377C4⋊C4—24no—
1378C4⋊C4—22no—
1379C4⋊C4—24no—
1380C4⋊C4—24no—
1381C4⋊C4—28no—
1382C4⋊C4—24no—
1383C4⋊C4—22no—
1384C4⋊C4—24no—
1385C4⋊C4—22no—
1386C4⋊C4—24no—
1387C4⋊C4—28no—
1388C4⋊C4—24no—
1389C4⋊C4—24no—
1390C4⋊C4—24no—
1391C4⋊C4—22no—
1392C4⋊C4—22no—
1393C4⋊C4—22no—
1394C4⋊C4—22no—
1395C4⋊C4—22no—
1396C4⋊C4—42no—
1397C4⋊C4—44no—
1398C4⋊C4—44no—
1399C4⋊C4—44no—
1400C4⋊C4—44no—
1401C4⋊C4—44no—
1402C4⋊C4—44no—
1403C4⋊C4—44no—
1404C4⋊C4—42no—
1405C4⋊C4—42no—
1406C4⋊C4—42no—
1407C4⋊C4—42no—
1408C4⋊C4—41no—
1409C4⋊C4—42no—
1410C4⋊C4—42no—
1411C4⋊C4—42no—
1412C4⋊C4—42no—
1413C4⋊C4—44no—
1414C4⋊C4—44no—
1415C4⋊C4—44no—
1416C4⋊C4—44no—
1417C4⋊C4—44no—
1418C4⋊C4—44no—
1419C4⋊C4—42no—
1420C4⋊C4—42no—
1421C4⋊C4C2×#4114yes—
1422C4⋊C4C2×#4114yes—
1423C4⋊C4H(5,𝔽2)14yes—
1424C22⋊C4—24no—
1425C22⋊C4—28no—
1426C22⋊C4—24no—
1427C22⋊C4—28no—
1428C22⋊C4—24no—
1429C22⋊C4—28no—
1430C22⋊C4—24no—
1431C22⋊C4—22no—
1432C22⋊C4—22no—
1433C22⋊C4—24no—
1434C22⋊C4—24no—
1435C22⋊C4—24no—
1436C22⋊C4—24no—
1437C22⋊C4—24no—
1438C22⋊C4—24no—
1439C22⋊C4—24no—
1440C22⋊C4—24no—
1441C22⋊C4—22no—
1442C22⋊C4—24no—
1443C22⋊C4—24no—
1444C22⋊C4—28no—
1445C22⋊C4—24no—
1446C22⋊C4—28no—
1447C22⋊C4—24no—
1448C22⋊C4—22no—
1449C22⋊C4—24no—
1450C22⋊C4—22no—
1451C22⋊C4—24no—
1452C22⋊C4—22no—
1453C22⋊C4—24no—
1454C22⋊C4—42no—
1455C22⋊C4—42no—
1456C22⋊C4—42no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—42no—
1463C22⋊C4—42no—
1464C22⋊C4—42no—
1465C22⋊C4—44no—
1466C22⋊C4—42no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—42no—
1470C22⋊C4—42no—
1471C22⋊C4—42no—
1472C22⋊C4—42no—
1473C22⋊C4—44no—
1474C22⋊C4—42no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—44no—
1479C22⋊C4—42no—
1480C22⋊C4—44no—
1481C22⋊C4—42no—
1482C22⋊C4C2×#4118yes—
1483C22⋊C4C2×#4118yes—
1484C42—22no—
1485C42—22no—
1486C42—24no—
1487C42—22no—
1488C42—22no—
1489C42—22no—
1490C42—22no—
1491C42—24no—
1492C42—24no—
1493C42—28no—
1494C42—24no—
1495C42—28no—
1496C42—24no—
1497C42—22no—
1498C42—28no—
1499C42—24no—
1500C42—24no—
1501C42—24no—
1502C42—22no—
1503C42—24no—
1504C42—22no—
1505C42—22no—
1506C42—44no—
1507C42—44no—
1508C42—42no—
1509C42—42no—
1510C42—41no—
1511C42—44no—
1512C42—42no—
1513C42—44no—
1514C42—42no—
1515C42—44no—
1516C42C2×#4114yes—
1517C42C2×#4114yes—
1518C23—22no—
1519C23—22no—
1520C23—22no—
1521C23—22no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—22no—
1529C23—22no—
1530C23—22no—
1531C23—21no—
1532C23—22no—
1533C23—21no—
1534C23—22no—
1535C23—22no—
1536C23—21no—
1537C23—21no—
1538C23—22no—
1539C23—22no—
1540C23—21no—
1541C23—22no—
1542C23—22no—
1543C23—22no—
1544C23—22no—
1545C23—21no—
1546C23—22no—
1547C23—22no—
1548C23—21no—
1549C23—48no—
1550C23—48no—
1551C23—48no—
1552C23—48no—
1553C23—84no—
1554C23—84no—
1555C23—84no—
1556C23C22×#4114yes—
1557C23C22×#4114yes—
1558C23C2×H(5,𝔽2)14yes—
1559C23C2×2−1+412yes—
1560C23C2611yescharacteristic
1561Q8—48no—
1562Q8—44no—
1563Q8—48no—
1564Q8—88no—
1565Q8—88no—
1566Q8—88no—
1567D4—44no—
1568D4—48no—
1569D4—48no—
1570D4—416no—
1571D4—44no—
1572D4—44no—
1573D4—84no—
1574D4—84no—
1575D4—84no—
1576D4—164no—
1577D4#555116yescomplemented
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—21no—
1585C2×C4—22no—
1586C2×C4—21no—
1587C2×C4—22no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—22no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—22no—
1594C2×C4—28no—
1595C2×C4—216no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—22no—
1599C2×C4—21no—
1600C2×C4—22no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—24no—
1604C2×C4—22no—
1605C2×C4—24no—
1606C2×C4—22no—
1607C2×C4—21no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—21no—
1612C2×C4—24no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—24no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—21no—
1621C2×C4—22no—
1622C2×C4—21no—
1623C2×C4—24no—
1624C2×C4—24no—
1625C2×C4—24no—
1626C2×C4—24no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—24no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—21no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—21no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—21no—
1643C2×C4—24no—
1644C2×C4—21no—
1645C2×C4—24no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—24no—
1655C2×C4—21no—
1656C2×C4—48no—
1657C2×C4—48no—
1658C2×C4—48no—
1659C2×C4—48no—
1660C2×C4—416no—
1661C2×C4—48no—
1662C2×C4—48no—
1663C2×C4—416no—
1664C2×C4—44no—
1665C2×C4—44no—
1666C2×C4—48no—
1667C2×C4—44no—
1668C2×C4—48no—
1669C2×C4—88no—
1670C2×C4—82no—
1671C2×C4—82no—
1672C2×C4—88no—
1673C2×C4—84no—
1674C2×C4—88no—
1675C2×C4C22×#4112yes—
1676C2×C4C22×#4112yes—
1677C2×C4C22×#4114yes—
1678C2×C4C22×#4114yes—
1679C2×C4C22×#4112yes—
1680C2×C4C22×#4112yes—
1681C2×C4C22×#4112yes—
1682C2×C4C22×#4112yes—
1683C2×C4C2×H(5,𝔽2)14yes—
1684C2×C4C2×H(5,𝔽2)12yes—
1685C2×C4C2×H(5,𝔽2)12yes—
1686C2×C4C2×2−1+412yes—
1687C2×C4C2×2−1+412yes—
1688C2×C4#58512yes—
1689C22—24no—
1690C22—24no—
1691C22—24no—
1692C22—24no—
1693C22—24no—
1694C22—24no—
1695C22—22no—
1696C22—22no—
1697C22—22no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—42no—
1703C22—41no—
1704C22—42no—
1705C22—41no—
1706C22—42no—
1707C22—42no—
1708C22—41no—
1709C22—42no—
1710C22—42no—
1711C22—42no—
1712C22—41no—
1713C22—42no—
1714C22—41no—
1715C22—42no—
1716C22—42no—
1717C22—42no—
1718C22—41no—
1719C22—42no—
1720C22—42no—
1721C22—41no—
1722C22—42no—
1723C22—816no—
1724C22C2×#55518yes—
1725C22C23×#4111yescharacteristic
1726C22C23×#4111yescharacteristic
1727C22C22×H(5,𝔽2)11yescharacteristic
1728C22C22×H(5,𝔽2)11yescharacteristic
1729C22C22×2−1+411yescharacteristic
1730C22C2×#58511yescharacteristic
1731C222−1+611yescharacteristic
1732C4—22no—
1733C4—24no—
1734C4—22no—
1735C4—24no—
1736C4—22no—
1737C4—22no—
1738C4—24no—
1739C4—22no—
1740C4—44no—
1741C4—42no—
1742C4—41no—
1743C4—42no—
1744C4—41no—
1745C4—44no—
1746C4—42no—
1747C4—42no—
1748C4—44no—
1749C4—41no—
1750C4—42no—
1751C4—42no—
1752C4—42no—
1753C4—41no—
1754C4—42no—
1755C4—41no—
1756C4—42no—
1757C4—41no—
1758C4—42no—
1759C4—44no—
1760C4C2×#55514yes—
1761C4#352014yes—
1762C2—28no—
1763C2—42no—
1764C2—82no—
1765C2—81no—
1766C2—82no—
1767C2C22×#55511yescharacteristic
1768C2C2×#352011yescharacteristic
1769C2#6280511yescharacteristic
1770C2#6291511yescharacteristic
1771C2#6298411yescharacteristic
1772C2#6300911yescharacteristic
1773C2#6301211yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59948C2semidirect
2. #59767C2semidirect
3. #59427C2semidirect
4. #59230C2semidirect
5. #59229C2semidirect
6. #59225C2semidirect
7. #59203C2semidirect
8. #59135C2semidirect
9. #45384C2semidirect
10. #45078C2semidirect
11. #43645C2semidirect
12. #43056C2semidirect
13. #39505C2semidirect
14. #39504C2semidirect
15. #38940C2semidirect
16. #38939C2semidirect
17. #38284C2semidirect
18. #38281C2semidirect
19. #36303C2semidirect
20. #36288C2semidirect
21. #36259C2semidirect
22. #36235C2semidirect
23. #36203C2semidirect
24. #36194C2semidirect
25. #36153C2semidirect
26. D4×C4⋊Q8C2semidirect
27. #35939C2semidirect
28. #35821C2semidirect
29. #34800C2semidirect
30. C2×#2439C2semidirect
31. #34308C2semidirect
32. #34260C2semidirect
33. #34191C2semidirect
34. C4×#546C2semidirect
35. D4×#117C2semidirect
36. C2×#555C22semidirect
42. C22×C4⋊Q8C22semidirect
47. #2868C22semidirect
48. #2862C22semidirect
50. #2857C22semidirect
51. #2857C22semidirect
52. #2854C22semidirect
53. #2850C22semidirect
55. #2809C22semidirect
56. #2808C22semidirect
57. #2795C22semidirect
58. #2785C22semidirect
60. #2783C22semidirect
61. #2783C22semidirect
62. #2783C22semidirect
63. #2781C22semidirect
64. #2775C22semidirect
65. #2775C22semidirect
66. #2775C22semidirect
67. #2769C22semidirect
69. #2744C22semidirect
71. #2737C22semidirect
72. #2731C22semidirect
73. #2731C22semidirect
74. #2731C22semidirect
75. #2686C22semidirect
80. #2612C22semidirect
81. #2612C22semidirect
86. #2574C22semidirect
87. #2574C22semidirect
89. #2571C22semidirect
90. #2568C22semidirect
93. #2563C22semidirect
94. #2563C22semidirect
96. #2551C22semidirect
97. #2551C22semidirect
98. #2551C22semidirect
100. #2547C22semidirect
101. #2546C22semidirect
102. #2546C22semidirect
105. #2538C22semidirect
108. #2532C22semidirect
109. #2532C22semidirect
110. #2531C22semidirect
111. #2529C22semidirect
113. #2526C22semidirect
115. #2518C22semidirect
116. #2513C22semidirect
117. #2508C22semidirect
118. #2508C22semidirect
119. #2508C22semidirect
120. #2503C22semidirect
122. #2500C22semidirect
124. #2497C22semidirect
125. #2497C22semidirect
126. #2497C22semidirect
127. #2497C22semidirect
128. #2495C22semidirect
129. #2495C22semidirect
132. #2492C22semidirect
133. #2492C22semidirect
134. #2492C22semidirect
135. #2492C22semidirect
138. #2491C22semidirect
139. #2491C22semidirect
140. #2491C22semidirect
143. #2488C22semidirect
144. #2488C22semidirect
145. #2488C22semidirect
146. #2488C22semidirect
148. #2486C22semidirect
150. #2485C22semidirect
151. #2485C22semidirect
152. #2476C22semidirect
153. #2474C22semidirect
154. #2474C22semidirect
158. #2440C22semidirect
159. #2440C22semidirect
160. #2440C22semidirect
167. #2439C22semidirect
168. #2439C22semidirect
169. #2439C22semidirect
170. #2439C22semidirect
171. #2439C22semidirect
172. #2439C22semidirect
173. #2439C22semidirect
174. #2439C22semidirect
176. #2436C22semidirect
177. #2434C22semidirect
179. #2429C22semidirect
184. #2425C22semidirect
186. #2420C22semidirect
192. #2416C22semidirect
193. #2415C22semidirect
196. #2413C22semidirect
203. #2372C22semidirect
204. #2369C22semidirect
205. #2369C22semidirect
207. #2365C22semidirect
211. #2361C22semidirect
213. #2360C22semidirect
215. #2359C22semidirect
217. #2356C22semidirect
218. #2355C22semidirect
219. #2355C22semidirect
220. #2355C22semidirect
224. #2353C22semidirect
228. #2352C22semidirect
229. #2352C22semidirect
230. #2352C22semidirect
236. D4×C4⋊C4C22semidirect
238. #2346C22semidirect
239. #2346C22semidirect
240. #2345C22semidirect
242. #2344C22semidirect
243. #2344C22semidirect
244. #2343C22semidirect
245. #2343C22semidirect
246. #2343C22semidirect
256. #2323C22semidirect
257. #2322C22semidirect
258. #2320C22semidirect
259. #2320C22semidirect
260. #2318C22semidirect
261. #2318C22semidirect
262. #2314C22semidirect
263. #2313C22semidirect
264. C4×C4⋊Q8C22semidirect
265. C4×C4⋊Q8C22semidirect
267. C4×#124C22semidirect
273. C4×#121C22semidirect
274. C4×#121C22semidirect
276. #2298C22semidirect
277. #2295C22semidirect
278. C2×#391C22semidirect
280. #2293C22semidirect
281. C2×#389C22semidirect
282. C2×#389C22semidirect
284. #2290C22semidirect
285. C2×#387C22semidirect
287. #2285C22semidirect
288. #2283C22semidirect
289. #2283C22semidirect
290. C2×#382C22semidirect
1577. D4#555semidirect

Maximal subgroups

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

subgroupindex
#599482
#597672
#594272
#592302
#592292
#592252
#592032
#591352
#453842
#450782
#436452
#430562
#395052
#395042
#389402
#389392
#382842
#382812
#363032
#362882
#362592
#362352
#362032
#361942
#361532
D4×C4⋊Q82
#359392
#358212
#348002
C2×#24392
#343082
#342602
#341912
C4×#5462
D4×#1172