Finite Group Databasebeta

← #7674839

Subgroups — #7674839

Order 512.

5658 conjugacy classes of subgroups.

The subgroup lattice has 1659 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59856C212yesmaximal, complemented
2#59856C212yesmaximal, complemented
3#59305C212yesmaximal, complemented
4#59291C212yesmaximal, complemented
5#59274C212yesmaximal, complemented
6#59199C212yesmaximal, complemented
7#59136C212yesmaximal, complemented
8#59016C212yesmaximal, complemented
9#43937C214yesmaximal, complemented
10#43551C214yesmaximal, complemented
11#43124C214yesmaximal, complemented
12#43055C214yesmaximal, complemented
13#39686C214yesmaximal, complemented
14#39684C214yesmaximal, complemented
15#39605C212yesmaximal, complemented
16#39604C212yesmaximal, complemented
17#36553C212yesmaximal, complemented
18#36546C212yesmaximal, complemented
19#35368C212yesmaximal, complemented
20#35349C212yesmaximal, complemented
21#35010C212yesmaximal, complemented
22#35010C211yesmaximal, characteristic, complemented
23C2×#2417C211yesmaximal, characteristic, complemented
24C2×#2440C211yesmaximal, characteristic, complemented
25#34264C212yesmaximal
26#34212C211yesmaximal, characteristic, complemented
27#34181C211yesmaximal, characteristic, complemented
28C2×D4×C4⋊C4C211yesmaximal, characteristic, complemented
29C4×#534C211yesmaximal, characteristic
30C2×#554C2212yescomplemented
31C2×#534C2211yescharacteristic
32C22×C4⋊Q8C2211yescharacteristic, complemented
33C22×C22⋊Q8C2211yescharacteristic
34C22×C22⋊Q8C2212yes—
35C22×C22⋊Q8C2211yescharacteristic, complemented
36C2×#518C2212yes—
37C22×C4×D4C2211yescharacteristic
38C22×C4×D4C2211yescharacteristic
39C22×C4×D4C2212yes—
40C23×C4⋊C4C2211yescharacteristic
41C23×C4⋊C4C2211yescharacteristic, complemented
42#2855C2214yescomplemented
43#2855C2212yescomplemented
44#2848C2214yescomplemented
45#2848C2212yescomplemented
46#2802C2214yescomplemented
47#2802C2214yescomplemented
48#2792C2214yescomplemented
49#2791C2214yescomplemented
50#2790C2214yescomplemented
51#2790C2214yescomplemented
52#2790C2214yescomplemented
53#2788C2214yescomplemented
54#2784C2214yescomplemented
55#2780C2214yescomplemented
56#2780C2214yescomplemented
57#2780C2214yescomplemented
58#2774C2214yescomplemented
59#2768C2214yescomplemented
60#2768C2214yescomplemented
61#2763C2214yescomplemented
62#2755C2214yescomplemented
63#2748C2214yescomplemented
64#2742C2214yescomplemented
65#2729C2214yescomplemented
66#2729C2214yescomplemented
67#2720C2214yescomplemented
68#2704C2214yescomplemented
69#2692C2214yescomplemented
70#2627C2212yescomplemented
71#2627C2214yescomplemented
72#2626C2212yescomplemented
73#2626C2214yescomplemented
74#2590C2214yescomplemented
75#2589C2214yescomplemented
76#2588C2214yescomplemented
77#2587C2214yescomplemented
78#2587C2214yescomplemented
79#2587C2214yescomplemented
80#2586C2214yescomplemented
81#2585C2214yescomplemented
82#2583C2214yescomplemented
83#2579C2214yes—
84#2579C2214yescomplemented
85#2579C2214yescomplemented
86#2579C2214yescomplemented
87#2579C2214yescomplemented
88#2579C2214yescomplemented
89#2574C2214yescomplemented
90#2569C2214yescomplemented
91#2569C2214yescomplemented
92#2567C2212yescomplemented
93#2566C2214yescomplemented
94#2564C2214yes—
95#2564C2214yes—
96#2564C2214yescomplemented
97#2564C2214yescomplemented
98#2563C2212yescomplemented
99#2556C2214yescomplemented
100#2552C2212yescomplemented
101#2550C2214yescomplemented
102#2549C2214yescomplemented
103#2538C2212yescomplemented
104#2522C2214yescomplemented
105#2522C2214yescomplemented
106#2511C2212yescomplemented
107#2511C2212yescomplemented
108#2507C2214yescomplemented
109#2507C2212yescomplemented
110#2507C2212yescomplemented
111#2505C2214yescomplemented
112#2505C2214yescomplemented
113#2505C2214yescomplemented
114#2505C2214yescomplemented
115#2505C2214yescomplemented
116#2502C2212yescomplemented
117#2502C2212yescomplemented
118#2497C2212yescomplemented
119#2497C2212yescomplemented
120#2497C2212yescomplemented
121#2497C2212yescomplemented
122#2492C2212yescomplemented
123#2492C2212yescomplemented
124#2487C2212yes—
125#2487C2214yescomplemented
126#2487C2212yescomplemented
127#2487C2212yescomplemented
128#2487C2214yescomplemented
129#2473C2214yescomplemented
130#2473C2214yescomplemented
131#2473C2214yescomplemented
132#2473C2214yescomplemented
133#2473C2214yescomplemented
134#2452C2214yescomplemented
135#2450C2214yes—
136#2450C2214yes—
137#2450C2214yescomplemented
138#2449C2214yes—
139#2449C2214yes—
140#2449C2214yescomplemented
141#2442C2214yescomplemented
142#2442C2214yescomplemented
143#2440C2212yescomplemented
144#2440C2212yescomplemented
145#2440C2214yescomplemented
146#2440C2214yescomplemented
147#2440C2212yescomplemented
148#2440C2212yescomplemented
149#2440C2212yescomplemented
150#2440C2212yescomplemented
151#2438C2214yescomplemented
152#2438C2214yescomplemented
153#2437C2214yescomplemented
154#2437C2214yescomplemented
155#2423C2212yescomplemented
156#2423C2212yescomplemented
157#2417C2214yes—
158#2417C2214yes—
159#2417C2212yes—
160#2417C2212yes—
161#2417C2214yes—
162#2417C2212yescomplemented
163#2417C2212yescomplemented
164#2417C2214yescomplemented
165#2417C2212yescomplemented
166#2417C2212yescomplemented
167#2417C2212yescomplemented
168#2417C2212yescomplemented
169#2409C2212yes—
170#2409C2214yescomplemented
171#2409C2214yescomplemented
172C2×#398C2212yescomplemented
173C2×#398C2212yescomplemented
174C2×#396C2212yescomplemented
175C2×#395C2212yescomplemented
176#2369C2212yescomplemented
177#2368C2214yescomplemented
178#2364C2214yes—
179#2364C2214yes—
180#2361C2214yes—
181#2361C2214yes—
182#2360C2212yescomplemented
183#2360C2212yescomplemented
184#2360C2212yescomplemented
185#2360C2212yescomplemented
186#2359C2214yes—
187#2359C2214yes—
188#2358C2214yes—
189#2358C2214yes—
190#2355C2212yescomplemented
191#2349C2214yes—
192#2349C2214yescomplemented
193D4×C4⋊C4C2214yes—
194D4×C4⋊C4C2212yes—
195D4×C4⋊C4C2212yes—
196D4×C4⋊C4C2212yes—
197D4×C4⋊C4C2212yes—
198D4×C4⋊C4C2212yescomplemented
199D4×C4⋊C4C2212yescomplemented
200D4×C4⋊C4C2214yescomplemented
201D4×C4⋊C4C2212yescomplemented
202D4×C4⋊C4C2212yescomplemented
203D4×C4⋊C4C2212yescomplemented
204#2345C2214yescomplemented
205#2345C2212yescomplemented
206#2345C2212yescomplemented
207#2345C2212yescomplemented
208Q8×C22⋊C4C2212yescomplemented
209#2329C2212yescomplemented
210#2329C2212yescomplemented
211#2325C2212yes—
212#2325C2212yes—
213#2322C2212yes—
214#2322C2214yes—
215#2322C2212yes—
216#2321C2212yes—
217#2321C2214yes—
218#2321C2212yes—
219#2316C2212yescomplemented
220#2315C2212yes—
221#2315C2212yes—
222#2315C2211yescharacteristic
223#2315C2212yes—
224#2315C2212yescomplemented
225#2308C2211yescharacteristic
226#2308C2211yescharacteristic
227#2308C2212yes—
228C4×C22⋊Q8C2212yescomplemented
229C4×C22⋊Q8C2212yescomplemented
230C4×#123C2214yes—
231C4×#123C2212yes—
232C4×#123C2212yes—
233C4×#121C2212yes—
234C4×#121C2212yes—
235C4×#120C2214yes—
236C4×#120C2212yes—
237C4×#120C2212yes—
238C2×#391C2211yescharacteristic, complemented
239C2×#389C2212yescomplemented
240C2×#389C2211yescharacteristic, complemented
241C2×#389C2211yescharacteristic, complemented
242C2×#389C2211yescharacteristic, complemented
243C2×#386C2212yes—
244C2×#385C2212yes—
245C2×#385C2212yes—
246C2×#385C2212yescomplemented
247#2285C2212yescomplemented
248C2×#384C2211yescharacteristic, complemented
249C2×#384C2211yescharacteristic, complemented
250C2×#380C2212yes—
251C2×#380C2211yescharacteristic
252C2×#380C2211yescharacteristic
253C2×#380C2211yescharacteristic, complemented
254C2×#380C2211yescharacteristic, complemented
255C2×#380C2212yescomplemented
256#2273C2212yes—
257C2×C4×C4⋊C4C2211yescharacteristic, complemented
258C2×C4×C22⋊C4C2211yescharacteristic
259C23×Q8C2311yescharacteristic
260C23×Q8C2312yes—
261C23×D4C2311yescharacteristic
262C23×D4C2311yescharacteristic
263C24×C4C2311yescharacteristic
264C24×C4C2311yescharacteristic
265C24×C4C2312yes—
266C24×C4C2312yes—
267C24×C4C2311yescharacteristic
268#554—48no—
269#534Q8116yescomplemented
270C2×C4⋊Q8—44no—
271C2×C4⋊Q8C2312yes—
272C2×C4⋊Q8C2312yes—
273C2×C4⋊Q8C2314yes—
274C2×#125C2314yes—
275C2×#125C2314yes—
276C2×#123C2312yes—
277C2×#123C2312yes—
278C2×C22⋊Q8—28no—
279C2×C22⋊Q8—48no—
280C2×C22⋊Q8—44no—
281C2×C22⋊Q8C2312yes—
282C2×C22⋊Q8C2312yes—
283C2×C22⋊Q8C2312yes—
284C2×C22⋊Q8C2312yes—
285C2×C22⋊Q8C2312yes—
286C2×C22⋊Q8C2314yes—
287C2×C22⋊Q8C2314yes—
288C2×C22⋊Q8C2314yes—
289C2×C22⋊Q8C2312yes—
290C2×C22⋊Q8C2312yes—
291C2×C22⋊Q8C2314yes—
292C2×C22⋊Q8C2314yes—
293C2×C22⋊Q8C2314yes—
294C2×C22⋊Q8C2312yes—
295C2×C22⋊Q8C2314yes—
296C2×C22⋊Q8C2314yes—
297C2×C22⋊Q8C2314yes—
298C2×#121C2312yes—
299C2×#121C2312yes—
300C2×#120C2312yes—
301C2×#120C2312yes—
302#518—48no—
303C2×C4×Q8C2312yes—
304C2×C4×Q8C2312yes—
305C2×C4×D4—28no—
306C2×C4×D4—28no—
307C2×C4×D4—48no—
308C2×C4×D4C2312yes—
309C2×C4×D4C2312yes—
310C2×C4×D4C2312yes—
311C2×C4×D4C2312yes—
312C2×C4×D4C2312yes—
313C2×C4×D4C2312yes—
314C2×C4×D4C2312yes—
315C2×C4×D4C2312yes—
316C2×C4×D4C2312yes—
317C2×C4×D4C2314yes—
318C2×C4×D4C2314yes—
319C2×C4×D4C2314yes—
320C2×C4×D4C2314yes—
321C2×C4×D4C2314yes—
322C2×C4×D4C2314yes—
323C2×C4×D4C2314yes—
324C2×C4×D4C2314yes—
325C2×C4×D4C2314yes—
326C2×C4×D4C2312yes—
327C2×C4×D4C2314yes—
328C2×#117C2314yes—
329C22×C4⋊C4—44no—
330C22×C4⋊C4—44no—
331C22×C4⋊C4C2311yescharacteristic
332C22×C4⋊C4C2311yescharacteristic
333C22×C4⋊C4C2312yes—
334C22×C4⋊C4C2311yescharacteristic
335C22×C4⋊C4C2312yes—
336C22×C4⋊C4C2311yescharacteristic
337C22×C4⋊C4C2311yescharacteristic
338C22×C4⋊C4C2311yescharacteristic
339C22×C4⋊C4C2312yes—
340C22×C4⋊C4C2312yes—
341C22×C4⋊C4C2312yes—
342C22×C4⋊C4C2312yes—
343C22×C4⋊C4C2314yes—
344C22×C4⋊C4C2312yes—
345C22×C4⋊C4C2311yescharacteristic
346C22×C4⋊C4C2311yescharacteristic
347C22×C4⋊C4C2312yes—
348C22×C4⋊C4C2311yescharacteristic
349C22×C4⋊C4C2312yes—
350C22×C4⋊C4C2312yes—
351C22×C4⋊C4C2312yes—
352C22×C4⋊C4C2311yescharacteristic
353C22×C4⋊C4C2311yescharacteristic
354C22×C4⋊C4C2311yescharacteristic
355C22×C4⋊C4C2312yes—
356C22×C4⋊C4C2312yes—
357C22×C4⋊C4C2311yescharacteristic
358C22×C4⋊C4C2312yes—
359C22×C4⋊C4C2312yes—
360C22×C4⋊C4C2312yes—
361C22×C4⋊C4C2312yes—
362C22×C4⋊C4C2312yes—
363C22×C22⋊C4C2311yescharacteristic
364C22×C22⋊C4C2311yescharacteristic
365C22×C22⋊C4C2311yescharacteristic
366C22×C22⋊C4C2312yes—
367C22×C22⋊C4C2312yes—
368C22×C22⋊C4C2312yes—
369C22×C22⋊C4C2311yescharacteristic
370C22×C22⋊C4C2311yescharacteristic
371C22×C22⋊C4C2314yes—
372C22×C22⋊C4C2312yes—
373C22×C22⋊C4C2312yes—
374C22×C22⋊C4C2312yes—
375C22×C22⋊C4C2311yescharacteristic
376C22×C42C2311yescharacteristic
377C22×C42C2311yescharacteristic
378C22×C42C2312yes—
379C22×C42C2311yescharacteristic
380C22×C42C2311yescharacteristic
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#399C2314yes—
395#399C2314yes—
396#399C2314yes—
397#399C2314yes—
398#399C2314yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#396C2314yes—
426#396C2314yes—
427#396C2314yes—
428#396C2314yes—
429#396C2314yes—
430#396C2314yes—
431#396C2314yes—
432#396C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#395C2314yes—
440#395C2314yes—
441#395C2314yes—
442#395C2314yes—
443#395C2314yes—
444#395C2314yes—
445#395C2314yes—
446#395C2314yes—
447#395C2314yes—
448#393C2314yes—
449#393C2314yes—
450#393C2314yes—
451#393C2314yes—
452#393C2314yes—
453#391C2312yes—
454#391C2312yes—
455#391C2314yes—
456#391C2314yes—
457#391C2314yes—
458#391C2314yes—
459#391C2314yes—
460#391C2314yes—
461#391C2314yes—
462#391C2312yes—
463#391C2312yes—
464#391C2312yes—
465#391C2312yes—
466#390C2314yes—
467#390C2312yes—
468#390C2314yes—
469#390C2312yes—
470#389C2314yes—
471#389C2314yes—
472#389C2314yes—
473#389C2314yes—
474#389C2314yes—
475#389C2314yes—
476#389C2312yes—
477#389C2312yes—
478#389C2314yes—
479#389C2314yes—
480#389C2314yes—
481#389C2314yes—
482#389C2314yes—
483#389C2314yes—
484#389C2314yes—
485#389C2314yes—
486#389C2314yes—
487#389C2314yes—
488#389C2314yes—
489#389C2314yes—
490#389C2314yes—
491#389C2314yes—
492#389C2314yes—
493#389C2312yes—
494#389C2312yes—
495#389C2312yes—
496#389C2312yes—
497#389C2312yes—
498#389C2312yes—
499#389C2312yes—
500#389C2314yes—
501#389C2312yes—
502#389C2312yes—
503#389C2312yes—
504#389C2314yes—
505#388C2312yes—
506#388C2314yes—
507#388C2312yes—
508#388C2312yes—
509#388C2312yes—
510#388C2312yes—
511#388C2312yes—
512#388C2312yes—
513#388C2312yes—
514#388C2314yes—
515#388C2314yes—
516#388C2314yes—
517#388C2314yes—
518#388C2314yes—
519#388C2314yes—
520#388C2314yes—
521#387C2314yes—
522#387C2314yes—
523#387C2314yes—
524#387C2314yes—
525#387C2314yes—
526#387C2314yes—
527#387C2314yes—
528#387C2314yes—
529#387C2314yes—
530#387C2314yes—
531#387C2314yes—
532#387C2314yes—
533#387C2314yes—
534#387C2314yes—
535#387C2314yes—
536#387C2314yes—
537#387C2312yes—
538#387C2312yes—
539#387C2312yes—
540#387C2312yes—
541#387C2314yes—
542#387C2314yes—
543#387C2314yes—
544#387C2314yes—
545#387C2314yes—
546#387C2314yes—
547#387C2314yes—
548#387C2314yes—
549#387C2314yes—
550#387C2314yes—
551#387C2314yes—
552#387C2314yes—
553#386C2312yes—
554#386C2312yes—
555#386C2314yes—
556#386C2314yes—
557#386C2314yes—
558#386C2314yes—
559#386C2312yes—
560#386C2312yes—
561#386C2312yes—
562#386C2312yes—
563#386C2312yes—
564#386C2312yes—
565#386C2312yes—
566#386C2314yes—
567#386C2314yes—
568#386C2312yes—
569#386C2312yes—
570#386C2312yes—
571#386C2314yes—
572#386C2314yes—
573#386C2314yes—
574#386C2314yes—
575#386C2314yes—
576#386C2314yes—
577#385C2314yes—
578#385C2314yes—
579#385C2314yes—
580#385C2314yes—
581#385C2314yes—
582#385C2314yes—
583#385C2314yes—
584#385C2314yes—
585#385C2314yes—
586#385C2314yes—
587#385C2314yes—
588#385C2314yes—
589#385C2314yes—
590#385C2312yes—
591#385C2312yes—
592#385C2312yes—
593#385C2312yes—
594#385C2314yes—
595#385C2314yes—
596#385C2314yes—
597#385C2314yes—
598#385C2314yes—
599#385C2314yes—
600#385C2314yes—
601#385C2314yes—
602#385C2314yes—
603#385C2314yes—
604#385C2314yes—
605#385C2314yes—
606#385C2314yes—
607#385C2314yes—
608#385C2314yes—
609#385C2312yes—
610#385C2312yes—
611#385C2312yes—
612#385C2312yes—
613#385C2314yes—
614#385C2314yes—
615#385C2314yes—
616#385C2314yes—
617#385C2314yes—
618#385C2314yes—
619#385C2314yes—
620#385C2314yes—
621#385C2314yes—
622#385C2314yes—
623#385C2314yes—
624#385C2314yes—
625#385C2314yes—
626#385C2314yes—
627#384C2314yes—
628#384C2312yes—
629#384C2312yes—
630#384C2312yes—
631#384C2312yes—
632#384C2314yes—
633#384C2312yes—
634#384C2312yes—
635#382C2314yes—
636#382C2314yes—
637#382C2314yes—
638#381C2312yes—
639#381C2314yes—
640#381C2312yes—
641#380C2312yes—
642#380C2312yes—
643#380C2312yes—
644#380C2312yes—
645#380C2314yes—
646#380C2314yes—
647#380C2314yes—
648#380C2314yes—
649#380C2314yes—
650#380C2314yes—
651#380C2314yes—
652#380C2314yes—
653#380C2312yes—
654#380C2312yes—
655#380C2314yes—
656#380C2314yes—
657#380C2312yes—
658#380C2312yes—
659#380C2314yes—
660#380C2312yes—
661#380C2312yes—
662#380C2314yes—
663#380C2312yes—
664#380C2314yes—
665#380C2312yes—
666#380C2312yes—
667#380C2312yes—
668#380C2312yes—
669#380C2314yes—
670#380C2312yes—
671#380C2312yes—
672#380C2314yes—
673#380C2314yes—
674#380C2312yes—
675#380C2314yes—
676#379C2314yes—
677#379C2312yes—
678#379C2312yes—
679C4×C4⋊C4C2312yes—
680C4×C4⋊C4C2314yes—
681C4×C4⋊C4C2312yes—
682C4×C4⋊C4C2314yes—
683C4×C4⋊C4C2314yes—
684C4×C4⋊C4C2314yes—
685C4×C4⋊C4C2314yes—
686C4×C4⋊C4C2314yes—
687C4×C4⋊C4C2312yes—
688C4×C4⋊C4C2312yes—
689C4×C4⋊C4C2312yes—
690C4×C4⋊C4C2312yes—
691C4×C4⋊C4C2312yes—
692C4×C4⋊C4C2312yes—
693C4×C22⋊C4C2314yes—
694C4×C22⋊C4C2314yes—
695C4×C22⋊C4C2314yes—
696C4×C22⋊C4C2312yes—
697C4×C22⋊C4C2312yes—
698C4×C22⋊C4C2314yes—
699C4×C22⋊C4C2314yes—
700C4×C22⋊C4C2314yes—
701C4×C22⋊C4C2314yes—
702C4×C22⋊C4C2314yes—
703C4×C22⋊C4C2314yes—
704C4×C22⋊C4C2312yes—
705C4×C22⋊C4C2314yes—
706C4×C22⋊C4C2312yes—
707C4×C22⋊C4C2312yes—
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2312yes—
711C2×#95C2312yes—
712C2×#95C2312yes—
713C2×#95C2312yes—
714C2×#95C2314yes—
715C2×#95C2312yes—
716C2×#95C2312yes—
717C2×#95C2311yescharacteristic
718C2×#95C2311yescharacteristic
719C2×#95C2312yes—
720C2×#95C2312yes—
721C2×#95C2312yes—
722C2×#95C2312yes—
723C2×#95C2312yes—
724C25C2411yescharacteristic
725C25C2411yescharacteristic
726C25C2411yescharacteristic
727C22×Q8—24no—
728C22×Q8—44no—
729C22×Q8—42no—
730C22×Q8—44no—
731C22×Q8—42no—
732C22×Q8—82no—
733C22×Q8C2412yes—
734C22×Q8C2414yes—
735C22×Q8C2412yes—
736C22×Q8C2414yes—
737C22×D4—24no—
738C22×D4—24no—
739C22×D4—24no—
740C22×D4—24no—
741C22×D4C2×Q818yes—
742C22×D4C2×Q818yes—
743C22×D4C2412yes—
744C22×D4C2412yes—
745C22×D4C2412yes—
746C22×D4C2412yes—
747C22×D4C2412yes—
748C22×D4C2412yes—
749C23×C4—28no—
750C23×C4—24no—
751C23×C4—24no—
752C23×C4—42no—
753C23×C4—42no—
754C23×C4—42no—
755C23×C4—42no—
756C23×C4—44no—
757C23×C4—44no—
758C23×C4—42no—
759C23×C4—42no—
760C23×C4—44no—
761C23×C4—82no—
762C23×C4—82no—
763C23×C4#4118yes—
764C23×C4C2412yes—
765C23×C4C2412yes—
766C23×C4C2412yes—
767C23×C4C2412yes—
768C23×C4C2412yes—
769C23×C4C2411yescharacteristic
770C23×C4C2411yescharacteristic
771C23×C4C2411yescharacteristic
772C23×C4C2411yescharacteristic
773C23×C4C2411yescharacteristic
774C23×C4C2412yes—
775C23×C4C2412yes—
776C23×C4C2411yescharacteristic
777C23×C4C2411yescharacteristic
778C23×C4C2412yes—
779C23×C4C2412yes—
780C23×C4C2412yes—
781C23×C4C2412yes—
782C23×C4C2411yescharacteristic
783C23×C4C2412yes—
784C23×C4C2411yescharacteristic
785C23×C4C2411yescharacteristic
786C23×C4C2412yes—
787C23×C4C2411yescharacteristic
788C23×C4C2412yes—
789C23×C4C2414yes—
790C23×C4C2412yes—
791C23×C4C2412yes—
792C23×C4C2414yes—
793C23×C4C2414yes—
794C23×C4C2414yes—
795C23×C4C2411yescharacteristic
796C23×C4C2411yescharacteristic
797C23×C4C2411yescharacteristic
798C23×C4C2411yescharacteristic
799C23×C4C2411yescharacteristic
800C4⋊Q8—28no—
801C4⋊Q8—44no—
802C4⋊Q8—48no—
803#125—48no—
804#125—84no—
805#123C2×Q8116yescomplemented
806#123C2×Q8116yescomplemented
807C22⋊Q8—28no—
808C22⋊Q8—28no—
809C22⋊Q8—28no—
810C22⋊Q8—28no—
811C22⋊Q8—28no—
812C22⋊Q8—48no—
813C22⋊Q8—48no—
814C22⋊Q8—48no—
815C22⋊Q8—48no—
816C22⋊Q8—48no—
817C22⋊Q8—48no—
818C22⋊Q8—44no—
819C22⋊Q8—44no—
820C22⋊Q8—44no—
821C22⋊Q8—48no—
822C22⋊Q8—84no—
823C22⋊Q8—84no—
824#121C2×Q8116yescomplemented
825#121C2×Q8116yescomplemented
826#120C2×Q8116yescomplemented
827#120C2×Q8116yescomplemented
828C4×Q8—44no—
829C4×Q8—44no—
830C4×D4—28no—
831C4×D4—28no—
832C4×D4—28no—
833C4×D4—28no—
834C4×D4—28no—
835C4×D4—28no—
836C4×D4—28no—
837C4×D4—28no—
838C4×D4—44no—
839C4×D4—44no—
840C4×D4—48no—
841C4×D4—48no—
842C4×D4—48no—
843C4×D4—48no—
844C4×D4—48no—
845C4×D4—48no—
846C4×D4—48no—
847C4×D4—48no—
848C4×D4—48no—
849C4×D4—84no—
850#117—48no—
851C2×C4⋊C4—24no—
852C2×C4⋊C4—24no—
853C2×C4⋊C4—24no—
854C2×C4⋊C4—28no—
855C2×C4⋊C4—24no—
856C2×C4⋊C4—24no—
857C2×C4⋊C4—24no—
858C2×C4⋊C4—28no—
859C2×C4⋊C4—44no—
860C2×C4⋊C4—42no—
861C2×C4⋊C4—44no—
862C2×C4⋊C4—48no—
863C2×C4⋊C4—42no—
864C2×C4⋊C4—44no—
865C2×C4⋊C4—42no—
866C2×C4⋊C4—42no—
867C2×C4⋊C4—44no—
868C2×C4⋊C4—44no—
869C2×C4⋊C4—42no—
870C2×C4⋊C4—44no—
871C2×C4⋊C4—42no—
872C2×C4⋊C4—44no—
873C2×C4⋊C4—42no—
874C2×C4⋊C4—44no—
875C2×C4⋊C4—44no—
876C2×C4⋊C4—44no—
877C2×C4⋊C4—44no—
878C2×C4⋊C4—44no—
879C2×C4⋊C4—44no—
880C2×C4⋊C4—82no—
881C2×C4⋊C4—82no—
882C2×C4⋊C4—82no—
883C2×C4⋊C4C2411yescharacteristic
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2411yescharacteristic
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2414yes—
889C2×C4⋊C4C2411yescharacteristic
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2411yescharacteristic
949C2×C22⋊C4—24no—
950C2×C22⋊C4—24no—
951C2×C22⋊C4—28no—
952C2×C22⋊C4—28no—
953C2×C22⋊C4—28no—
954C2×C22⋊C4—24no—
955C2×C22⋊C4—24no—
956C2×C22⋊C4—24no—
957C2×C22⋊C4—44no—
958C2×C22⋊C4—48no—
959C2×C22⋊C4—44no—
960C2×C22⋊C4—82no—
961C2×C22⋊C4C2×Q818yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2412yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C42—24no—
1005C2×C42—24no—
1006C2×C42—42no—
1007C2×C42—42no—
1008C2×C42—44no—
1009C2×C42C2412yes—
1010C2×C42C2412yes—
1011C2×C42C2412yes—
1012C2×C42C2412yes—
1013C2×C42C2412yes—
1014C2×C42C2412yes—
1015C2×C42C2414yes—
1016C2×C42C2414yes—
1017C2×C42C2414yes—
1018C2×C42C2414yes—
1019C2×C42C2414yes—
1020C2×C42C2414yes—
1021C2×C42C2414yes—
1022C2×C42C2412yes—
1023C2×C42C2414yes—
1024C2×C42C2412yes—
1025#95C2414yes—
1026#95C2414yes—
1027#95C2414yes—
1028#95C2414yes—
1029#95C2412yes—
1030#95C2412yes—
1031#95C2412yes—
1032#95C2412yes—
1033#95C2414yes—
1034#95C2414yes—
1035#95C2414yes—
1036#95C2414yes—
1037#95C2414yes—
1038#95C2414yes—
1039#95C2414yes—
1040#95C2414yes—
1041#95C2414yes—
1042#95C2414yes—
1043#95C2414yes—
1044#95C2414yes—
1045#95C2414yes—
1046#95C2414yes—
1047#95C2414yes—
1048#95C2414yes—
1049#95C2414yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2414yes—
1054#95C2414yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2414yes—
1081C24—22no—
1082C24—22no—
1083C24—22no—
1084C24—22no—
1085C24—41no—
1086C24—41no—
1087C24—41no—
1088C24—41no—
1089C24—41no—
1090C24—41no—
1091C24—41no—
1092C24—41no—
1093C24—41no—
1094C24—41no—
1095C24—41no—
1096C24—41no—
1097C24C22×Q814yes—
1098C24C22×Q814yes—
1099C24C22×Q814yes—
1100C24C2×#4114yes—
1101C24H(5,𝔽2)14yes—
1102C24C2512yes—
1103C24C2512yes—
1104C24C2511yescharacteristic
1105C24C2511yescharacteristic
1106C24C2511yescharacteristic
1107C2×Q8—24no—
1108C2×Q8—24no—
1109C2×Q8—24no—
1110C2×Q8—28no—
1111C2×Q8—24no—
1112C2×Q8—44no—
1113C2×Q8—42no—
1114C2×Q8—44no—
1115C2×Q8—44no—
1116C2×Q8—44no—
1117C2×Q8—44no—
1118C2×Q8—42no—
1119C2×Q8—88no—
1120C2×Q8—816no—
1121C2×D4—232no—
1122C2×D4—232no—
1123C2×D4—24no—
1124C2×D4—24no—
1125C2×D4—24no—
1126C2×D4—24no—
1127C2×D4—24no—
1128C2×D4—24no—
1129C2×D4—24no—
1130C2×D4—24no—
1131C2×D4—42no—
1132C2×D4—42no—
1133C2×D4—42no—
1134C2×D4—42no—
1135C2×D4C22×Q818yes—
1136C2×D4C22×Q818yes—
1137C2×D4C22×Q818yes—
1138C2×D4C22×Q818yes—
1139C2×D4C22×Q818yes—
1140C2×D4C22×Q818yes—
1141C22×C4—22no—
1142C22×C4—22no—
1143C22×C4—22no—
1144C22×C4—22no—
1145C22×C4—22no—
1146C22×C4—22no—
1147C22×C4—22no—
1148C22×C4—22no—
1149C22×C4—22no—
1150C22×C4—22no—
1151C22×C4—22no—
1152C22×C4—22no—
1153C22×C4—24no—
1154C22×C4—22no—
1155C22×C4—22no—
1156C22×C4—24no—
1157C22×C4—24no—
1158C22×C4—22no—
1159C22×C4—24no—
1160C22×C4—22no—
1161C22×C4—24no—
1162C22×C4—24no—
1163C22×C4—24no—
1164C22×C4—24no—
1165C22×C4—24no—
1166C22×C4—24no—
1167C22×C4—24no—
1168C22×C4—24no—
1169C22×C4—24no—
1170C22×C4—24no—
1171C22×C4—24no—
1172C22×C4—24no—
1173C22×C4—24no—
1174C22×C4—24no—
1175C22×C4—24no—
1176C22×C4—24no—
1177C22×C4—24no—
1178C22×C4—24no—
1179C22×C4—24no—
1180C22×C4—28no—
1181C22×C4—416no—
1182C22×C4—41no—
1183C22×C4—41no—
1184C22×C4—41no—
1185C22×C4—41no—
1186C22×C4—41no—
1187C22×C4—41no—
1188C22×C4—41no—
1189C22×C4—42no—
1190C22×C4—41no—
1191C22×C4—41no—
1192C22×C4—41no—
1193C22×C4—42no—
1194C22×C4—41no—
1195C22×C4—41no—
1196C22×C4—41no—
1197C22×C4—42no—
1198C22×C4—41no—
1199C22×C4—42no—
1200C22×C4—42no—
1201C22×C4—41no—
1202C22×C4—41no—
1203C22×C4—41no—
1204C22×C4—41no—
1205C22×C4—42no—
1206C22×C4—42no—
1207C22×C4—42no—
1208C22×C4—42no—
1209C22×C4—44no—
1210C22×C4—42no—
1211C22×C4—42no—
1212C22×C4—41no—
1213C22×C4—42no—
1214C22×C4—42no—
1215C22×C4—42no—
1216C22×C4—42no—
1217C22×C4—41no—
1218C22×C4—42no—
1219C22×C4—42no—
1220C22×C4—42no—
1221C22×C4—42no—
1222C22×C4—44no—
1223C22×C4—44no—
1224C22×C4—44no—
1225C22×C4—42no—
1226C22×C4—44no—
1227C22×C4—42no—
1228C22×C4—41no—
1229C22×C4—42no—
1230C22×C4—42no—
1231C22×C4—41no—
1232C22×C4—42no—
1233C22×C4—42no—
1234C22×C4—44no—
1235C22×C4—44no—
1236C22×C4—44no—
1237C22×C4—44no—
1238C22×C4—44no—
1239C22×C4—44no—
1240C22×C4—416no—
1241C22×C4—88no—
1242C22×C4—816no—
1243C22×C4—816no—
1244C22×C4C22×Q814yes—
1245C22×C4C22×Q814yes—
1246C22×C4C22×Q814yes—
1247C22×C4C22×Q814yes—
1248C22×C4C2×#4114yes—
1249C22×C4C2×#4114yes—
1250C22×C4C2×#4114yes—
1251C22×C4C2×#4114yes—
1252C22×C4C2×#4114yes—
1253C22×C4C2×#4114yes—
1254C22×C4C2514yes—
1255C22×C4C2512yes—
1256C22×C4C2512yes—
1257C22×C4C2514yes—
1258C22×C4C2514yes—
1259C22×C4C2514yes—
1260C22×C4C2512yes—
1261C22×C4C2512yes—
1262C22×C4C2512yes—
1263C22×C4C2512yes—
1264C22×C4C2512yes—
1265C22×C4C2512yes—
1266C22×C4C2514yes—
1267C22×C4C2514yes—
1268C22×C4C2512yes—
1269C22×C4C2512yes—
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2511yescharacteristic
1274C22×C4C2511yescharacteristic
1275C22×C4C2511yescharacteristic
1276C22×C4C2512yes—
1277C22×C4C2511yescharacteristic
1278C4⋊C4—24no—
1279C4⋊C4—24no—
1280C4⋊C4—24no—
1281C4⋊C4—24no—
1282C4⋊C4—24no—
1283C4⋊C4—24no—
1284C4⋊C4—28no—
1285C4⋊C4—28no—
1286C4⋊C4—24no—
1287C4⋊C4—22no—
1288C4⋊C4—24no—
1289C4⋊C4—24no—
1290C4⋊C4—22no—
1291C4⋊C4—28no—
1292C4⋊C4—24no—
1293C4⋊C4—22no—
1294C4⋊C4—24no—
1295C4⋊C4—28no—
1296C4⋊C4—28no—
1297C4⋊C4—24no—
1298C4⋊C4—24no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4—42no—
1302C4⋊C4—42no—
1303C4⋊C4—44no—
1304C4⋊C4—42no—
1305C4⋊C4—42no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—42no—
1319C4⋊C4—44no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C4⋊C4—44no—
1323C4⋊C4—44no—
1324C4⋊C4—44no—
1325C4⋊C4—42no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—42no—
1341C4⋊C4C22×Q818yes—
1342C4⋊C4C22×Q818yes—
1343C4⋊C4H(5,𝔽2)14yes—
1344C22⋊C4—24no—
1345C22⋊C4—24no—
1346C22⋊C4—24no—
1347C22⋊C4—24no—
1348C22⋊C4—28no—
1349C22⋊C4—28no—
1350C22⋊C4—28no—
1351C22⋊C4—28no—
1352C22⋊C4—28no—
1353C22⋊C4—28no—
1354C22⋊C4—24no—
1355C22⋊C4—24no—
1356C22⋊C4—24no—
1357C22⋊C4—24no—
1358C22⋊C4—24no—
1359C22⋊C4—24no—
1360C22⋊C4—28no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—44no—
1366C22⋊C4—44no—
1367C22⋊C4—44no—
1368C22⋊C4—44no—
1369C22⋊C4—42no—
1370C22⋊C4—42no—
1371C22⋊C4—42no—
1372C22⋊C4—42no—
1373C22⋊C4—42no—
1374C22⋊C4—42no—
1375C22⋊C4—44no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—42no—
1379C22⋊C4—42no—
1380C22⋊C4C22×Q818yes—
1381C22⋊C4C22×Q818yes—
1382C22⋊C4C22×Q818yes—
1383C22⋊C4C22×Q818yes—
1384C22⋊C4C22×Q818yes—
1385C22⋊C4C22×Q818yes—
1386C42—24no—
1387C42—24no—
1388C42—24no—
1389C42—24no—
1390C42—24no—
1391C42—24no—
1392C42—42no—
1393C42—44no—
1394C42—44no—
1395C42—42no—
1396C42—44no—
1397C42—44no—
1398C42—44no—
1399C42—44no—
1400C42—44no—
1401C42—44no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—22no—
1415C23—22no—
1416C23—22no—
1417C23—22no—
1418C23—22no—
1419C23—22no—
1420C23—22no—
1421C23—22no—
1422C23—22no—
1423C23—22no—
1424C23—22no—
1425C23—22no—
1426C23—28no—
1427C23—28no—
1428C23—44no—
1429C23—44no—
1430C23—44no—
1431C23—44no—
1432C23—44no—
1433C23—44no—
1434C23—44no—
1435C23—44no—
1436C23—44no—
1437C23—44no—
1438C23—44no—
1439C23—44no—
1440C23—44no—
1441C23—44no—
1442C23—82no—
1443C23—82no—
1444C23—82no—
1445C23—82no—
1446C23#554116yescomplemented
1447C23C23×Q814yes—
1448C23C23×Q814yes—
1449C23C23×Q812yes—
1450C23C23×Q812yes—
1451C23C23×Q812yes—
1452C23C22×#4112yes—
1453C23C22×#4112yes—
1454C23C22×#4112yes—
1455C23C2×H(5,𝔽2)12yes—
1456C23C2×H(5,𝔽2)12yes—
1457C23C2×H(5,𝔽2)12yes—
1458C23C2611yescharacteristic
1459Q8—48no—
1460Q8—84no—
1461Q8—88no—
1462Q8—88no—
1463D4—216no—
1464D4—216no—
1465D4—216no—
1466D4—216no—
1467D4—48no—
1468D4—48no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—21no—
1475C2×C4—22no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—22no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—28no—
1486C2×C4—28no—
1487C2×C4—28no—
1488C2×C4—28no—
1489C2×C4—28no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—24no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—24no—
1496C2×C4—22no—
1497C2×C4—24no—
1498C2×C4—22no—
1499C2×C4—24no—
1500C2×C4—24no—
1501C2×C4—24no—
1502C2×C4—24no—
1503C2×C4—24no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—24no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—24no—
1516C2×C4—24no—
1517C2×C4—24no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—24no—
1521C2×C4—24no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—24no—
1528C2×C4—22no—
1529C2×C4—24no—
1530C2×C4—24no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—24no—
1535C2×C4—44no—
1536C2×C4—44no—
1537C2×C4—44no—
1538C2×C4—44no—
1539C2×C4—44no—
1540C2×C4—48no—
1541C2×C4—48no—
1542C2×C4—48no—
1543C2×C4—48no—
1544C2×C4—44no—
1545C2×C4—44no—
1546C2×C4—44no—
1547C2×C4—44no—
1548C2×C4—48no—
1549C2×C4—48no—
1550C2×C4—84no—
1551C2×C4—88no—
1552C2×C4—82no—
1553C2×C4—84no—
1554C2×C4—84no—
1555C2×C4—84no—
1556C2×C4—82no—
1557C2×C4—84no—
1558C2×C4—84no—
1559C2×C4—84no—
1560C2×C4—84no—
1561C2×C4—84no—
1562C2×C4—84no—
1563C2×C4—88no—
1564C2×C4—164no—
1565C2×C4—164no—
1566C2×C4C23×Q814yes—
1567C2×C4C23×Q814yes—
1568C2×C4C23×Q814yes—
1569C2×C4C23×Q814yes—
1570C2×C4C22×#4112yes—
1571C2×C4C22×#4112yes—
1572C2×C4C22×#4112yes—
1573C2×C4C22×#4112yes—
1574C2×C4C2×H(5,𝔽2)14yes—
1575C2×C4C2×H(5,𝔽2)12yes—
1576C2×C4#58512yes—
1577C22—22no—
1578C22—22no—
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—22no—
1595C22—24no—
1596C22—24no—
1597C22—24no—
1598C22—24no—
1599C22—24no—
1600C22—24no—
1601C22—416no—
1602C22—416no—
1603C22—42no—
1604C22—42no—
1605C22—42no—
1606C22—42no—
1607C22—42no—
1608C22—42no—
1609C22—42no—
1610C22—42no—
1611C22—88no—
1612C22C2×#55414yes—
1613C22C2×#55414yes—
1614C22C2×#55414yes—
1615C22C24×Q811yescharacteristic
1616C22C23×#4111yescharacteristic
1617C22C22×H(5,𝔽2)11yescharacteristic
1618C22C22×H(5,𝔽2)11yescharacteristic
1619C22C2×#58511yescharacteristic
1620C22H(7,𝔽2)11yescharacteristic
1621C222−1+611yescharacteristic
1622C4—24no—
1623C4—24no—
1624C4—22no—
1625C4—22no—
1626C4—22no—
1627C4—24no—
1628C4—24no—
1629C4—24no—
1630C4—42no—
1631C4—42no—
1632C4—44no—
1633C4—42no—
1634C4—42no—
1635C4—44no—
1636C4—42no—
1637C4—42no—
1638C4—42no—
1639C4—42no—
1640C4—44no—
1641C4—44no—
1642C4—42no—
1643C4—44no—
1644C4—44no—
1645C4#350514yes—
1646C2—24no—
1647C2—24no—
1648C2—24no—
1649C2—44no—
1650C2—44no—
1651C2C22×#55411yescharacteristic
1652C2C2×#350511yescharacteristic
1653C2#6285611yescharacteristic
1654C2#6289211yescharacteristic
1655C2#6290111yescharacteristic
1656C2Q8×H(5,𝔽2)11yescharacteristic
1657C2#6298911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#534C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59856C2semidirect
2. #59856C2semidirect
3. #59305C2semidirect
4. #59291C2semidirect
5. #59274C2semidirect
6. #59199C2semidirect
7. #59136C2semidirect
8. #59016C2semidirect
9. #43937C2semidirect
10. #43551C2semidirect
11. #43124C2semidirect
12. #43055C2semidirect
13. #39686C2semidirect
14. #39684C2semidirect
15. #39605C2semidirect
16. #39604C2semidirect
17. #36553C2semidirect
18. #36546C2semidirect
19. #35368C2semidirect
20. #35349C2semidirect
21. #35010C2semidirect
22. #35010C2semidirect
23. C2×#2417C2semidirect
24. C2×#2440C2semidirect
26. #34212C2semidirect
27. #34181C2semidirect
28. C2×D4×C4⋊C4C2semidirect
30. C2×#554C22semidirect
32. C22×C4⋊Q8C22semidirect
35. C22×C22⋊Q8C22semidirect
41. C23×C4⋊C4C22semidirect
42. #2855C22semidirect
43. #2855C22semidirect
44. #2848C22semidirect
45. #2848C22semidirect
46. #2802C22semidirect
47. #2802C22semidirect
48. #2792C22semidirect
49. #2791C22semidirect
50. #2790C22semidirect
51. #2790C22semidirect
52. #2790C22semidirect
53. #2788C22semidirect
54. #2784C22semidirect
55. #2780C22semidirect
56. #2780C22semidirect
57. #2780C22semidirect
58. #2774C22semidirect
59. #2768C22semidirect
60. #2768C22semidirect
61. #2763C22semidirect
62. #2755C22semidirect
63. #2748C22semidirect
64. #2742C22semidirect
65. #2729C22semidirect
66. #2729C22semidirect
67. #2720C22semidirect
68. #2704C22semidirect
69. #2692C22semidirect
70. #2627C22semidirect
71. #2627C22semidirect
72. #2626C22semidirect
73. #2626C22semidirect
74. #2590C22semidirect
75. #2589C22semidirect
76. #2588C22semidirect
77. #2587C22semidirect
78. #2587C22semidirect
79. #2587C22semidirect
80. #2586C22semidirect
81. #2585C22semidirect
82. #2583C22semidirect
84. #2579C22semidirect
85. #2579C22semidirect
86. #2579C22semidirect
87. #2579C22semidirect
88. #2579C22semidirect
89. #2574C22semidirect
90. #2569C22semidirect
91. #2569C22semidirect
92. #2567C22semidirect
93. #2566C22semidirect
96. #2564C22semidirect
97. #2564C22semidirect
98. #2563C22semidirect
99. #2556C22semidirect
100. #2552C22semidirect
101. #2550C22semidirect
102. #2549C22semidirect
103. #2538C22semidirect
104. #2522C22semidirect
105. #2522C22semidirect
106. #2511C22semidirect
107. #2511C22semidirect
108. #2507C22semidirect
109. #2507C22semidirect
110. #2507C22semidirect
111. #2505C22semidirect
112. #2505C22semidirect
113. #2505C22semidirect
114. #2505C22semidirect
115. #2505C22semidirect
116. #2502C22semidirect
117. #2502C22semidirect
118. #2497C22semidirect
119. #2497C22semidirect
120. #2497C22semidirect
121. #2497C22semidirect
122. #2492C22semidirect
123. #2492C22semidirect
125. #2487C22semidirect
126. #2487C22semidirect
127. #2487C22semidirect
128. #2487C22semidirect
129. #2473C22semidirect
130. #2473C22semidirect
131. #2473C22semidirect
132. #2473C22semidirect
133. #2473C22semidirect
134. #2452C22semidirect
137. #2450C22semidirect
140. #2449C22semidirect
141. #2442C22semidirect
142. #2442C22semidirect
143. #2440C22semidirect
144. #2440C22semidirect
145. #2440C22semidirect
146. #2440C22semidirect
147. #2440C22semidirect
148. #2440C22semidirect
149. #2440C22semidirect
150. #2440C22semidirect
151. #2438C22semidirect
152. #2438C22semidirect
153. #2437C22semidirect
154. #2437C22semidirect
155. #2423C22semidirect
156. #2423C22semidirect
162. #2417C22semidirect
163. #2417C22semidirect
164. #2417C22semidirect
165. #2417C22semidirect
166. #2417C22semidirect
167. #2417C22semidirect
168. #2417C22semidirect
170. #2409C22semidirect
171. #2409C22semidirect
172. C2×#398C22semidirect
173. C2×#398C22semidirect
174. C2×#396C22semidirect
175. C2×#395C22semidirect
176. #2369C22semidirect
177. #2368C22semidirect
182. #2360C22semidirect
183. #2360C22semidirect
184. #2360C22semidirect
185. #2360C22semidirect
190. #2355C22semidirect
192. #2349C22semidirect
198. D4×C4⋊C4C22semidirect
199. D4×C4⋊C4C22semidirect
200. D4×C4⋊C4C22semidirect
201. D4×C4⋊C4C22semidirect
202. D4×C4⋊C4C22semidirect
203. D4×C4⋊C4C22semidirect
204. #2345C22semidirect
205. #2345C22semidirect
206. #2345C22semidirect
207. #2345C22semidirect
208. Q8×C22⋊C4C22semidirect
209. #2329C22semidirect
210. #2329C22semidirect
219. #2316C22semidirect
224. #2315C22semidirect
228. C4×C22⋊Q8C22semidirect
229. C4×C22⋊Q8C22semidirect
238. C2×#391C22semidirect
239. C2×#389C22semidirect
240. C2×#389C22semidirect
241. C2×#389C22semidirect
242. C2×#389C22semidirect
246. C2×#385C22semidirect
247. #2285C22semidirect
248. C2×#384C22semidirect
249. C2×#384C22semidirect
253. C2×#380C22semidirect
254. C2×#380C22semidirect
255. C2×#380C22semidirect
257. C2×C4×C4⋊C4C22semidirect
269. #534Q8semidirect
805. #123C2×Q8semidirect
806. #123C2×Q8semidirect
824. #121C2×Q8semidirect
825. #121C2×Q8semidirect
826. #120C2×Q8semidirect
827. #120C2×Q8semidirect
1446. C23#554semidirect

Maximal subgroups

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

subgroupindex
#598562
#593052
#592912
#592742
#591992
#591362
#590162
#439372
#435512
#431242
#430552
#396862
#396842
#396052
#396042
#365532
#365462
#353682
#353492
#350102
C2×#24172
C2×#24402
#342642
#342122
#341812
C2×D4×C4⋊C42
C4×#5342