Finite Group Databasebeta

← #7676113

Subgroups — #7676113

Order 512.

6148 conjugacy classes of subgroups.

The subgroup lattice has 1590 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59269C214yesmaximal, complemented
2#59265C214yesmaximal, complemented
3#59195C214yesmaximal, complemented
4#59193C214yesmaximal, complemented
5#44786C214yesmaximal, complemented
6#44023C214yesmaximal, complemented
7#43975C214yesmaximal, complemented
8#43931C214yesmaximal, complemented
9#39037C214yesmaximal, complemented
10#38199C214yesmaximal, complemented
11#38114C214yesmaximal, complemented
12#36330C214yesmaximal, complemented
13#35370C211yesmaximal, characteristic, complemented
14#35367C211yesmaximal, characteristic, complemented
15#35359C211yesmaximal, characteristic, complemented
16#35350C211yesmaximal, characteristic, complemented
17#35090C211yesmaximal, characteristic, complemented
18#34995C211yesmaximal, characteristic, complemented
19#34992C211yesmaximal, characteristic, complemented
20C2×#2482C211yesmaximal, characteristic, complemented
21C2×#2404C211yesmaximal, characteristic
22#34251C211yesmaximal, characteristic, complemented
23#34198C211yesmaximal, characteristic, complemented
24#34177C211yesmaximal, characteristic, complemented
25#34172C211yesmaximal, characteristic, complemented
26C2×#2342C211yesmaximal, characteristic, complemented
27#34044C211yesmaximal, characteristic, complemented
28C23×#41C2211yescharacteristic
29C2×#543C2211yescharacteristic
30C22×#120C2211yescharacteristic
31C22×#120C2211yescharacteristic
32C2×#518C2211yescharacteristic
33C2×#518C2211yescharacteristic
34C22×#117C2211yescharacteristic
35C22×#117C2211yescharacteristic
36C23×C22⋊C4C2211yescharacteristic
37C23×C22⋊C4C2211yescharacteristic
38#2855C2214yescomplemented
39#2852C2214yescomplemented
40#2849C2214yescomplemented
41#2798C2214yescomplemented
42#2798C2214yescomplemented
43#2797C2214yescomplemented
44#2764C2214yescomplemented
45#2763C2214yescomplemented
46#2759C2214yescomplemented
47#2759C2214yescomplemented
48#2756C2214yescomplemented
49#2754C2214yescomplemented
50#2754C2214yescomplemented
51#2753C2214yescomplemented
52#2752C2214yescomplemented
53#2749C2214yescomplemented
54#2748C2214yescomplemented
55#2746C2214yescomplemented
56#2743C2214yescomplemented
57#2741C2214yescomplemented
58#2741C2214yescomplemented
59#2740C2214yescomplemented
60#2737C2214yescomplemented
61#2730C2214yescomplemented
62#2717C2214yescomplemented
63#2706C2214yescomplemented
64#2705C2214yescomplemented
65#2643C2214yescomplemented
66#2627C2214yescomplemented
67#2622C2214yescomplemented
68#2610C2214yescomplemented
69#2607C2214yescomplemented
70#2603C2214yescomplemented
71#2602C2214yescomplemented
72#2589C2214yescomplemented
73#2589C2214yescomplemented
74#2578C2214yescomplemented
75#2578C2214yescomplemented
76#2576C2214yescomplemented
77#2572C2214yescomplemented
78#2564C2214yescomplemented
79#2564C2214yescomplemented
80#2561C2214yes—
81#2557C2214yescomplemented
82#2554C2214yescomplemented
83#2553C2214yescomplemented
84#2553C2214yescomplemented
85#2532C2214yescomplemented
86#2532C2214yescomplemented
87#2531C2214yescomplemented
88#2531C2214yescomplemented
89#2527C2214yescomplemented
90#2527C2214yescomplemented
91#2526C2214yescomplemented
92#2523C2214yescomplemented
93#2521C2214yescomplemented
94#2521C2214yescomplemented
95#2518C2214yescomplemented
96#2518C2214yescomplemented
97#2516C2214yescomplemented
98#2510C2214yescomplemented
99#2510C2214yescomplemented
100#2510C2214yescomplemented
101#2510C2214yescomplemented
102#2510C2214yescomplemented
103#2498C2214yescomplemented
104#2493C2214yescomplemented
105#2493C2214yescomplemented
106#2488C2214yescomplemented
107#2483C2214yes—
108#2482C2214yes—
109#2482C2214yes—
110#2482C2214yes—
111#2482C2212yescomplemented
112#2482C2212yescomplemented
113#2482C2212yescomplemented
114#2482C2212yescomplemented
115#2481C2214yescomplemented
116#2481C2214yescomplemented
117#2481C2214yescomplemented
118#2480C2214yescomplemented
119#2480C2214yescomplemented
120#2472C2214yescomplemented
121#2472C2214yescomplemented
122#2472C2214yescomplemented
123#2472C2214yescomplemented
124#2471C2214yescomplemented
125#2467C2214yescomplemented
126#2461C2214yescomplemented
127#2450C2214yescomplemented
128#2449C2214yescomplemented
129#2438C2214yescomplemented
130#2438C2214yescomplemented
131#2438C2214yescomplemented
132#2438C2214yescomplemented
133#2438C2214yescomplemented
134#2437C2214yescomplemented
135#2435C2214yes—
136#2419C2214yescomplemented
137#2418C2214yescomplemented
138#2418C2214yescomplemented
139#2418C2214yescomplemented
140#2418C2214yescomplemented
141#2417C2214yescomplemented
142#2412C2214yescomplemented
143#2412C2214yescomplemented
144#2405C2214yes—
145#2405C2214yes—
146#2404C2212yes—
147#2404C2212yes—
148#2404C2214yes—
149#2404C2214yes—
150#2404C2212yes—
151#2404C2212yes—
152C2×#399C2212yescomplemented
153C2×#397C2212yescomplemented
154C2×#393C2212yes—
155C2×#392C2212yes—
156#2374C2214yescomplemented
157#2372C2214yescomplemented
158#2359C2214yescomplemented
159#2358C2214yescomplemented
160#2358C2214yescomplemented
161#2353C2214yescomplemented
162#2353C2214yescomplemented
163#2352C2214yescomplemented
164#2343C2214yescomplemented
165#2343C2214yescomplemented
166#2343C2214yescomplemented
167#2343C2214yescomplemented
168#2343C2214yescomplemented
169#2342C2214yes—
170#2342C2214yes—
171#2342C2214yes—
172#2342C2214yescomplemented
173#2342C2214yescomplemented
174#2342C2214yescomplemented
175#2339C2214yescomplemented
176#2339C2214yescomplemented
177#2339C2214yescomplemented
178#2339C2214yescomplemented
179D4×C22⋊C4C2214yes—
180#2321C2214yescomplemented
181#2318C2214yescomplemented
182#2315C2211yescharacteristic
183#2315C2211yescharacteristic
184#2315C2211yescharacteristic
185#2315C2211yescharacteristic
186#2315C2211yescharacteristic
187#2313C2212yescomplemented
188#2313C2212yescomplemented
189#2311C2214yescomplemented
190#2311C2212yescomplemented
191#2311C2212yescomplemented
192#2310C2212yescomplemented
193#2310C2212yescomplemented
194#2309C2212yescomplemented
195#2308C2211yescharacteristic
196#2308C2211yescharacteristic
197#2308C2211yescharacteristic
198#2308C2211yescharacteristic
199#2308C2211yescharacteristic
200#2308C2211yescharacteristic
201#2308C2212yescomplemented
202C4×#120C2214yescomplemented
203#2297C2212yescomplemented
204#2297C2212yescomplemented
205#2297C2214yescomplemented
206#2290C2214yescomplemented
207C2×#388C2212yescomplemented
208C2×#388C2212yescomplemented
209C2×#388C2212yescomplemented
210C2×#388C2212yescomplemented
211C2×#386C2211yescharacteristic
212C2×#386C2211yescharacteristic
213C2×#386C2212yes—
214C2×#386C2212yes—
215C2×#385C2211yescharacteristic
216C2×#385C2211yescharacteristic
217C2×#385C2212yescomplemented
218#2283C2212yescomplemented
219#2283C2212yescomplemented
220#2280C2212yescomplemented
221#2280C2212yescomplemented
222#2280C2212yescomplemented
223C2×#381C2211yescharacteristic
224C2×#381C2211yescharacteristic
225C2×#381C2211yescharacteristic
226C2×#381C2212yescomplemented
227C2×#380C2211yescharacteristic
228C2×#379C2211yescharacteristic
229C2×#379C2211yescharacteristic
230C2×#379C2211yescharacteristic
231#2273C2211yescharacteristic
232#2273C2211yescharacteristic
233C2×C4×C22⋊C4C2211yescharacteristic
234C2×C4×C22⋊C4C2212yescomplemented
235C26C2311yescharacteristic
236C22×#41—28no—
237C22×#41—28no—
238C22×#41—44no—
239C22×#41C2312yes—
240C22×#41C2312yes—
241C22×#41C2312yes—
242C22×#41C2312yes—
243C23×Q8C2311yescharacteristic
244C23×D4C2311yescharacteristic
245C23×D4C2311yescharacteristic
246C23×D4C2311yescharacteristic
247C23×D4C2312yes—
248C23×D4C2312yes—
249C24×C4C2311yescharacteristic
250C24×C4C2311yescharacteristic
251C24×C4C2311yescharacteristic
252C24×C4C2311yescharacteristic
253C24×C4C2312yes—
254#543—44no—
255C2×#126C2314yescomplemented
256C2×#126C2314yescomplemented
257C2×#124C2314yes—
258C2×#124C2314yes—
259C2×#123C2314yes—
260C2×#123C2314yes—
261C2×#123C2314yes—
262C2×#123C2314yes—
263C2×C22⋊Q8C2314yes—
264C2×C22⋊Q8C2314yes—
265C2×C22⋊Q8C2314yes—
266C2×C22⋊Q8C2314yescomplemented
267C2×#120—28no—
268C2×#120—44no—
269C2×#120C2312yes—
270C2×#120C2314yes—
271C2×#120C2312yes—
272C2×#120C2312yes—
273C2×#120C2312yes—
274C2×#120C2314yes—
275#518—28no—
276#518—44no—
277C2×C4×D4C2314yes—
278C2×C4×D4C2314yes—
279C2×C4×D4C2314yes—
280C2×C4×D4C2314yes—
281C2×C4×D4C2314yes—
282C2×C4×D4C2314yes—
283C2×#117—28no—
284C2×#117—44no—
285C2×#117C2312yes—
286C2×#117C2312yes—
287C2×#117C2312yes—
288C2×#117C2312yes—
289C2×#117C2312yes—
290C2×#117C2312yes—
291C2×#117C2312yes—
292C2×#117C2312yes—
293C2×#117C2312yes—
294C2×#117C2312yes—
295C2×#117C2314yescomplemented
296C22×C4⋊C4C2311yescharacteristic
297C22×C4⋊C4C2311yescharacteristic
298C22×C4⋊C4C2312yes—
299C22×C4⋊C4C2312yes—
300C22×C4⋊C4C2312yes—
301C22×C4⋊C4C2312yes—
302C22×C22⋊C4—28no—
303C22×C22⋊C4—44no—
304C22×C22⋊C4C2311yescharacteristic
305C22×C22⋊C4C2311yescharacteristic
306C22×C22⋊C4C2311yescharacteristic
307C22×C22⋊C4C2311yescharacteristic
308C22×C22⋊C4C2311yescharacteristic
309C22×C22⋊C4C2311yescharacteristic
310C22×C22⋊C4C2311yescharacteristic
311C22×C22⋊C4C2311yescharacteristic
312C22×C22⋊C4C2312yes—
313C22×C22⋊C4C2311yescharacteristic
314C22×C22⋊C4C2311yescharacteristic
315C22×C22⋊C4C2312yes—
316C22×C22⋊C4C2312yes—
317C22×C22⋊C4C2312yes—
318C22×C22⋊C4C2312yes—
319C22×C22⋊C4C2312yes—
320C22×C22⋊C4C2311yescharacteristic
321C22×C22⋊C4C2311yescharacteristic
322C22×C22⋊C4C2311yescharacteristic
323C22×C22⋊C4C2311yescharacteristic
324C22×C22⋊C4C2312yes—
325C22×C22⋊C4C2312yes—
326C22×C22⋊C4C2312yes—
327C22×C22⋊C4C2314yes—
328C22×C22⋊C4C2314yes—
329C22×C22⋊C4C2312yes—
330C22×C22⋊C4C2312yes—
331C22×C22⋊C4C2312yes—
332C22×C22⋊C4C2312yes—
333C22×C22⋊C4C2312yes—
334C22×C22⋊C4C2312yes—
335C22×C22⋊C4C2312yes—
336C22×C22⋊C4C2312yes—
337C22×C42C2311yescharacteristic
338C22×C42C2311yescharacteristic
339C22×C42C2312yes—
340C22×C42C2312yes—
341#401C2314yescomplemented
342#401C2314yescomplemented
343#400C2314yescomplemented
344#400C2314yescomplemented
345#400C2314yescomplemented
346#400C2314yescomplemented
347#400C2314yescomplemented
348#400C2314yescomplemented
349#400C2314yescomplemented
350#400C2314yescomplemented
351#400C2314yescomplemented
352#399C2314yes—
353#399C2314yes—
354#399C2314yes—
355#399C2314yes—
356#399C2314yes—
357#399C2314yes—
358#399C2314yescomplemented
359#398C2314yescomplemented
360#398C2314yescomplemented
361#398C2314yescomplemented
362#398C2314yescomplemented
363#398C2314yescomplemented
364#398C2314yescomplemented
365#397C2314yes—
366#397C2314yes—
367#397C2314yes—
368#397C2314yes—
369#397C2314yes—
370#397C2314yes—
371#397C2314yes—
372#397C2314yes—
373#397C2314yes—
374#397C2314yes—
375#397C2314yes—
376#397C2314yes—
377#397C2314yescomplemented
378#397C2314yescomplemented
379#397C2314yescomplemented
380#397C2314yescomplemented
381#397C2314yescomplemented
382#397C2314yescomplemented
383#396C2314yescomplemented
384#396C2314yescomplemented
385#396C2314yescomplemented
386#396C2314yescomplemented
387#395C2314yescomplemented
388#395C2314yescomplemented
389#395C2314yescomplemented
390#394C2314yes—
391#394C2314yes—
392#394C2314yes—
393#394C2314yes—
394#394C2314yes—
395#394C2314yes—
396#394C2314yes—
397#394C2314yes—
398#394C2314yes—
399#394C2314yes—
400#394C2314yes—
401#394C2314yes—
402#393C2314yes—
403#393C2314yes—
404#393C2314yes—
405#393C2314yes—
406#393C2314yes—
407#393C2314yes—
408#393C2314yescomplemented
409#392C2314yes—
410#392C2314yes—
411#392C2314yes—
412#392C2314yes—
413#391C2314yescomplemented
414#391C2314yescomplemented
415#391C2314yescomplemented
416#391C2314yescomplemented
417#391C2314yescomplemented
418#391C2314yescomplemented
419#391C2314yescomplemented
420#391C2314yescomplemented
421#391C2314yescomplemented
422#391C2314yescomplemented
423#391C2314yescomplemented
424#390C2314yes—
425#390C2314yes—
426#390C2314yes—
427#390C2314yes—
428#390C2314yescomplemented
429#390C2314yescomplemented
430#390C2314yescomplemented
431#390C2314yescomplemented
432#389C2314yescomplemented
433#389C2314yescomplemented
434#389C2314yescomplemented
435#388C2314yes—
436#388C2314yes—
437#388C2314yes—
438#388C2314yes—
439#388C2314yes—
440#388C2314yes—
441#388C2314yes—
442#388C2314yes—
443#388C2314yes—
444#388C2314yes—
445#388C2314yes—
446#388C2314yes—
447#388C2314yes—
448#388C2314yes—
449#388C2314yes—
450#388C2314yes—
451#388C2314yes—
452#388C2314yes—
453#388C2314yes—
454#388C2314yes—
455#388C2314yes—
456#388C2314yes—
457#388C2314yes—
458#388C2314yes—
459#388C2314yes—
460#388C2314yes—
461#388C2314yes—
462#388C2314yes—
463#388C2314yescomplemented
464#388C2314yescomplemented
465#388C2314yescomplemented
466#388C2314yescomplemented
467#388C2314yescomplemented
468#388C2314yescomplemented
469#388C2314yescomplemented
470#388C2314yescomplemented
471#388C2314yescomplemented
472#388C2314yescomplemented
473#387C2314yescomplemented
474#387C2314yescomplemented
475#387C2314yescomplemented
476#387C2314yescomplemented
477#387C2314yescomplemented
478#387C2314yescomplemented
479#387C2314yescomplemented
480#387C2314yescomplemented
481#387C2314yescomplemented
482#387C2314yescomplemented
483#387C2314yescomplemented
484#387C2314yescomplemented
485#387C2314yescomplemented
486#387C2314yescomplemented
487#387C2314yescomplemented
488#387C2314yescomplemented
489#387C2314yescomplemented
490#387C2314yescomplemented
491#387C2314yescomplemented
492#387C2314yescomplemented
493#387C2314yescomplemented
494#387C2314yescomplemented
495#387C2314yescomplemented
496#387C2314yescomplemented
497#386C2312yes—
498#386C2314yes—
499#386C2314yes—
500#386C2312yes—
501#386C2312yes—
502#386C2312yes—
503#386C2312yes—
504#386C2312yes—
505#386C2314yes—
506#386C2312yes—
507#386C2314yes—
508#386C2312yes—
509#386C2314yes—
510#386C2314yes—
511#386C2314yes—
512#386C2314yes—
513#386C2314yes—
514#386C2314yes—
515#386C2314yes—
516#386C2314yes—
517#386C2314yes—
518#386C2312yes—
519#386C2314yes—
520#386C2314yes—
521#386C2314yes—
522#386C2314yes—
523#386C2314yes—
524#386C2314yes—
525#386C2314yes—
526#386C2312yes—
527#386C2314yes—
528#386C2312yes—
529#386C2312yes—
530#386C2314yes—
531#386C2314yes—
532#386C2314yes—
533#386C2314yes—
534#386C2314yes—
535#386C2314yescomplemented
536#386C2314yescomplemented
537#386C2314yescomplemented
538#386C2314yescomplemented
539#385C2314yes—
540#385C2314yes—
541#385C2314yes—
542#385C2314yes—
543#385C2314yes—
544#385C2314yes—
545#385C2314yes—
546#385C2314yes—
547#385C2314yes—
548#385C2314yes—
549#385C2314yes—
550#385C2314yes—
551#385C2312yes—
552#385C2314yes—
553#385C2314yes—
554#385C2314yes—
555#385C2312yes—
556#385C2314yes—
557#385C2314yes—
558#385C2314yes—
559#385C2314yes—
560#385C2312yes—
561#385C2314yes—
562#385C2312yes—
563#385C2314yescomplemented
564#385C2314yescomplemented
565#383C2314yescomplemented
566#383C2314yescomplemented
567#383C2314yescomplemented
568#383C2314yescomplemented
569#383C2314yescomplemented
570#382C2314yescomplemented
571#382C2314yescomplemented
572#382C2314yescomplemented
573#381C2312yes—
574#381C2312yes—
575#381C2312yes—
576#381C2312yes—
577#381C2312yes—
578#381C2312yes—
579#381C2312yes—
580#381C2312yes—
581#381C2312yes—
582#381C2312yes—
583#381C2314yes—
584#381C2314yes—
585#381C2312yes—
586#381C2312yes—
587#381C2312yes—
588#381C2312yes—
589#381C2312yes—
590#381C2312yes—
591#381C2312yes—
592#381C2312yes—
593#381C2314yescomplemented
594#381C2314yescomplemented
595#381C2314yescomplemented
596#380C2312yes—
597#380C2314yes—
598#380C2312yes—
599#380C2312yes—
600#380C2312yes—
601#380C2314yes—
602#380C2314yes—
603#380C2314yes—
604#380C2314yes—
605#380C2314yescomplemented
606#380C2314yescomplemented
607#380C2314yescomplemented
608#380C2314yescomplemented
609#380C2314yescomplemented
610#380C2314yescomplemented
611#380C2314yescomplemented
612#380C2314yescomplemented
613#379C2314yes—
614#379C2314yes—
615#379C2312yes—
616#379C2312yes—
617#379C2312yes—
618#379C2312yes—
619#379C2312yes—
620#379C2312yes—
621#379C2312yes—
622#379C2312yes—
623#379C2314yes—
624#379C2312yes—
625#379C2314yes—
626#379C2312yes—
627C4×C4⋊C4C2314yescomplemented
628C4×C4⋊C4C2314yescomplemented
629C4×C4⋊C4C2314yescomplemented
630C4×C22⋊C4C2314yes—
631C4×C22⋊C4C2312yes—
632C4×C22⋊C4C2312yes—
633C4×C22⋊C4C2312yes—
634C4×C22⋊C4C2312yes—
635C4×C22⋊C4C2314yes—
636C4×C22⋊C4C2314yes—
637C4×C22⋊C4C2314yes—
638C4×C22⋊C4C2314yes—
639C4×C22⋊C4C2314yes—
640C4×C22⋊C4C2314yes—
641C4×C22⋊C4C2314yes—
642C4×C22⋊C4C2314yes—
643C4×C22⋊C4C2314yes—
644C4×C22⋊C4C2314yes—
645C4×C22⋊C4C2314yes—
646C4×C22⋊C4C2314yescomplemented
647C4×C22⋊C4C2314yescomplemented
648C4×C22⋊C4C2314yescomplemented
649C4×C22⋊C4C2314yescomplemented
650C4×C22⋊C4C2314yescomplemented
651C4×C22⋊C4C2314yescomplemented
652C4×C22⋊C4C2314yescomplemented
653#376C2314yescomplemented
654#376C2314yescomplemented
655#376C2314yescomplemented
656C2×#95C2312yes—
657C2×#95C2312yes—
658C2×#95C2312yes—
659C2×#95C2312yes—
660C2×#95C2312yes—
661C2×#95C2312yes—
662C2×#95C2312yes—
663C2×#95C2312yes—
664C2×#95C2312yes—
665C2×#95C2312yes—
666C2×#95C2312yes—
667C2×#95C2312yes—
668C2×#95C2314yescomplemented
669C2×#95C2314yescomplemented
670C25—24no—
671C25—24no—
672C25—24no—
673C25—44no—
674C25—82no—
675C25C2411yescharacteristic
676C25C2412yes—
677C25C2412yes—
678C25C2411yescharacteristic
679C25C2411yescharacteristic
680C25C2411yescharacteristic
681C25C2411yescharacteristic
682C2×#41—28no—
683C2×#41—28no—
684C2×#41—28no—
685C2×#41—28no—
686C2×#41—28no—
687C2×#41—28no—
688C2×#41—28no—
689C2×#41—28no—
690C2×#41—44no—
691C2×#41—44no—
692C2×#41—44no—
693C2×#41—44no—
694C2×#41—464no—
695C22×Q8—24no—
696C22×Q8—24no—
697C22×Q8—42no—
698C22×Q8C2412yes—
699C22×Q8C2412yes—
700C22×Q8C2414yes—
701C22×D4—24no—
702C22×D4—24no—
703C22×D4—24no—
704C22×D4—24no—
705C22×D4—24no—
706C22×D4—24no—
707C22×D4—28no—
708C22×D4—24no—
709C22×D4—42no—
710C22×D4—44no—
711C22×D4—44no—
712C22×D4—44no—
713C22×D4—82no—
714C22×D4—82no—
715C22×D4#4118yes—
716C22×D4C2412yes—
717C22×D4C2412yes—
718C22×D4C2414yes—
719C22×D4C2412yes—
720C22×D4C2412yes—
721C22×D4C2412yes—
722C22×D4C2412yes—
723C22×D4C2414yes—
724C22×D4C2414yes—
725C22×D4C2414yes—
726C23×C4—24no—
727C23×C4—24no—
728C23×C4—24no—
729C23×C4—24no—
730C23×C4—24no—
731C23×C4—24no—
732C23×C4—24no—
733C23×C4—42no—
734C23×C4—42no—
735C23×C4—44no—
736C23×C4—44no—
737C23×C4—82no—
738C23×C4—82no—
739C23×C4#4118yes—
740C23×C4C2411yescharacteristic
741C23×C4C2412yes—
742C23×C4C2412yes—
743C23×C4C2412yes—
744C23×C4C2412yes—
745C23×C4C2411yescharacteristic
746C23×C4C2411yescharacteristic
747C23×C4C2411yescharacteristic
748C23×C4C2411yescharacteristic
749C23×C4C2411yescharacteristic
750C23×C4C2411yescharacteristic
751C23×C4C2411yescharacteristic
752C23×C4C2412yes—
753C23×C4C2411yescharacteristic
754C23×C4C2411yescharacteristic
755C23×C4C2412yes—
756C23×C4C2412yes—
757C23×C4C2412yes—
758C23×C4C2411yescharacteristic
759C23×C4C2411yescharacteristic
760C23×C4C2412yes—
761C23×C4C2412yes—
762C23×C4C2412yes—
763C23×C4C2412yes—
764C23×C4C2411yescharacteristic
765C23×C4C2412yes—
766C23×C4C2412yes—
767C23×C4C2414yes—
768C23×C4C2411yescharacteristic
769C23×C4C2414yes—
770C23×C4C2414yes—
771C23×C4C2414yes—
772#126—84no—
773#126—84no—
774#124—48no—
775#124—84no—
776#123—48no—
777#123—48no—
778#123—84no—
779#123—84no—
780C22⋊Q8—48no—
781C22⋊Q8—48no—
782C22⋊Q8—48no—
783C22⋊Q8—84no—
784#120—28no—
785#120—216no—
786#120—28no—
787#120—44no—
788#120—48no—
789#120—44no—
790C4×D4—216no—
791C4×D4—216no—
792C4×D4—48no—
793C4×D4—48no—
794C4×D4—48no—
795C4×D4—84no—
796#117—28no—
797#117—28no—
798#117—28no—
799#117—28no—
800#117—28no—
801#117—44no—
802#117—44no—
803#117—44no—
804#117—44no—
805#117—44no—
806#117—84no—
807C2×C4⋊C4—24no—
808C2×C4⋊C4—24no—
809C2×C4⋊C4—44no—
810C2×C4⋊C4—82no—
811C2×C4⋊C4—82no—
812C2×C4⋊C4—82no—
813C2×C4⋊C4C2412yes—
814C2×C4⋊C4C2412yes—
815C2×C4⋊C4C2412yes—
816C2×C4⋊C4C2412yes—
817C2×C4⋊C4C2414yes—
818C2×C4⋊C4C2414yes—
819C2×C4⋊C4C2414yes—
820C2×C4⋊C4C2414yes—
821C2×C4⋊C4C2414yes—
822C2×C4⋊C4C2414yes—
823C2×C4⋊C4C2414yes—
824C2×C4⋊C4C2414yes—
825C2×C4⋊C4C2414yes—
826C2×C4⋊C4C2414yes—
827C2×C4⋊C4C2414yes—
828C2×C4⋊C4C2414yes—
829C2×C4⋊C4C2414yes—
830C2×C4⋊C4C2414yes—
831C2×C4⋊C4C2414yes—
832C2×C4⋊C4C2414yes—
833C2×C4⋊C4C2414yes—
834C2×C4⋊C4C2414yes—
835C2×C4⋊C4C2414yes—
836C2×C4⋊C4C2414yes—
837C2×C4⋊C4C2414yes—
838C2×C4⋊C4C2414yes—
839C2×C4⋊C4C2414yes—
840C2×C22⋊C4—24no—
841C2×C22⋊C4—24no—
842C2×C22⋊C4—28no—
843C2×C22⋊C4—24no—
844C2×C22⋊C4—24no—
845C2×C22⋊C4—24no—
846C2×C22⋊C4—24no—
847C2×C22⋊C4—24no—
848C2×C22⋊C4—24no—
849C2×C22⋊C4—24no—
850C2×C22⋊C4—24no—
851C2×C22⋊C4—24no—
852C2×C22⋊C4—24no—
853C2×C22⋊C4—24no—
854C2×C22⋊C4—24no—
855C2×C22⋊C4—28no—
856C2×C22⋊C4—28no—
857C2×C22⋊C4—28no—
858C2×C22⋊C4—28no—
859C2×C22⋊C4—28no—
860C2×C22⋊C4—48no—
861C2×C22⋊C4—48no—
862C2×C22⋊C4—44no—
863C2×C22⋊C4—44no—
864C2×C22⋊C4—44no—
865C2×C22⋊C4—44no—
866C2×C22⋊C4—44no—
867C2×C22⋊C4—44no—
868C2×C22⋊C4—82no—
869C2×C22⋊C4—82no—
870C2×C22⋊C4—82no—
871C2×C22⋊C4—82no—
872C2×C22⋊C4—82no—
873C2×C22⋊C4C2412yes—
874C2×C22⋊C4C2412yes—
875C2×C22⋊C4C2412yes—
876C2×C22⋊C4C2412yes—
877C2×C22⋊C4C2412yes—
878C2×C22⋊C4C2412yes—
879C2×C22⋊C4C2412yes—
880C2×C22⋊C4C2412yes—
881C2×C22⋊C4C2412yes—
882C2×C22⋊C4C2412yes—
883C2×C22⋊C4C2412yes—
884C2×C22⋊C4C2412yes—
885C2×C22⋊C4C2412yes—
886C2×C22⋊C4C2412yes—
887C2×C22⋊C4C2412yes—
888C2×C22⋊C4C2412yes—
889C2×C22⋊C4C2412yes—
890C2×C22⋊C4C2412yes—
891C2×C22⋊C4C2412yes—
892C2×C22⋊C4C2412yes—
893C2×C22⋊C4C2412yes—
894C2×C22⋊C4C2412yes—
895C2×C22⋊C4C2412yes—
896C2×C22⋊C4C2412yes—
897C2×C22⋊C4C2414yes—
898C2×C22⋊C4C2414yes—
899C2×C22⋊C4C2412yes—
900C2×C22⋊C4C2412yes—
901C2×C22⋊C4C2412yes—
902C2×C22⋊C4C2412yes—
903C2×C22⋊C4C2414yes—
904C2×C22⋊C4C2414yes—
905C2×C22⋊C4C2414yes—
906C2×C22⋊C4C2414yes—
907C2×C22⋊C4C2414yes—
908C2×C22⋊C4C2414yes—
909C2×C22⋊C4C2414yes—
910C2×C22⋊C4C2414yes—
911C2×C22⋊C4C2414yes—
912C2×C22⋊C4C2414yes—
913C2×C22⋊C4C2414yes—
914C2×C22⋊C4C2414yes—
915C2×C22⋊C4C2414yes—
916C2×C22⋊C4C2414yes—
917C2×C22⋊C4C2414yes—
918C2×C22⋊C4C2414yes—
919C2×C22⋊C4C2414yes—
920C2×C22⋊C4C2414yes—
921C2×C22⋊C4C2414yes—
922C2×C22⋊C4C2414yes—
923C2×C22⋊C4C2414yes—
924C2×C22⋊C4C2414yes—
925C2×C22⋊C4C2414yes—
926C2×C22⋊C4C2414yes—
927C2×C22⋊C4C2414yes—
928C2×C22⋊C4C2414yes—
929C2×C22⋊C4C2414yes—
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2414yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2414yes—
937C2×C42—24no—
938C2×C42—24no—
939C2×C42—44no—
940C2×C42—82no—
941C2×C42C2412yes—
942C2×C42C2412yes—
943C2×C42C2412yes—
944C2×C42C2412yes—
945C2×C42C2414yes—
946C2×C42C2414yes—
947C2×C42C2414yes—
948C2×C42C2414yes—
949C2×C42C2414yes—
950C2×C42C2414yes—
951C2×C42C2414yes—
952C2×C42C2414yes—
953C2×C42C2414yes—
954C2×C42C2414yes—
955#95C2414yes—
956#95C2414yes—
957#95C2414yes—
958#95C2414yes—
959#95C2414yes—
960#95C2414yes—
961#95C2414yes—
962#95C2414yes—
963#95C2414yes—
964#95C2414yes—
965#95C2414yes—
966#95C2414yes—
967#95C2414yes—
968#95C2414yes—
969#95C2414yes—
970#95C2414yes—
971#95C2414yes—
972#95C2414yes—
973#95C2414yes—
974#95C2414yes—
975#95C2414yes—
976#95C2414yes—
977#95C2414yes—
978#95C2414yes—
979#95C2414yes—
980#95C2414yes—
981#95C2414yes—
982#95C2414yes—
983#95C2414yes—
984#95C2414yes—
985#95C2414yes—
986#95C2414yes—
987#95C2414yes—
988#95C2414yes—
989#95C2414yes—
990#95C2414yes—
991#95C2414yes—
992#95C2414yes—
993#95C2414yes—
994#95C2414yes—
995#95C2414yes—
996#95C2414yes—
997#95C2414yes—
998#95C2414yes—
999#95C2414yes—
1000#95C2414yes—
1001#95C2414yes—
1002#95C2414yes—
1003#95C2414yes—
1004#95C2414yes—
1005C24—22no—
1006C24—24no—
1007C24—22no—
1008C24—22no—
1009C24—22no—
1010C24—22no—
1011C24—22no—
1012C24—22no—
1013C24—24no—
1014C24—24no—
1015C24—24no—
1016C24—24no—
1017C24—24no—
1018C24—24no—
1019C24—24no—
1020C24—24no—
1021C24—22no—
1022C24—22no—
1023C24—22no—
1024C24—22no—
1025C24—42no—
1026C24—42no—
1027C24—42no—
1028C24—42no—
1029C24—42no—
1030C24—42no—
1031C24—42no—
1032C24—42no—
1033C24—42no—
1034C24—42no—
1035C24—42no—
1036C24—42no—
1037C24—42no—
1038C24—42no—
1039C24—42no—
1040C24—416no—
1041C24—416no—
1042C24—816no—
1043C24—816no—
1044C24—88no—
1045C24C2×#4114yes—
1046C24C2×#4114yes—
1047C24C2×#4114yes—
1048C24H(5,𝔽2)14yes—
1049C24C2512yes—
1050C24C2512yes—
1051C24C2512yes—
1052C24C2512yes—
1053C24C2511yescharacteristic
1054C24C2511yescharacteristic
1055C24C2511yescharacteristic
1056#41—432no—
1057#41—432no—
1058#41—432no—
1059#41—432no—
1060C2×Q8—24no—
1061C2×Q8—24no—
1062C2×Q8—24no—
1063C2×Q8—24no—
1064C2×Q8—42no—
1065C2×Q8—42no—
1066C2×Q8—44no—
1067C2×Q8—44no—
1068C2×Q8—44no—
1069C2×Q8—416no—
1070C2×D4—232no—
1071C2×D4—24no—
1072C2×D4—24no—
1073C2×D4—24no—
1074C2×D4—24no—
1075C2×D4—28no—
1076C2×D4—24no—
1077C2×D4—24no—
1078C2×D4—24no—
1079C2×D4—24no—
1080C2×D4—24no—
1081C2×D4—24no—
1082C2×D4—24no—
1083C2×D4—24no—
1084C2×D4—28no—
1085C2×D4—28no—
1086C2×D4—28no—
1087C2×D4—24no—
1088C2×D4—24no—
1089C2×D4—44no—
1090C2×D4—42no—
1091C2×D4—42no—
1092C2×D4—416no—
1093C2×D4—44no—
1094C2×D4—44no—
1095C2×D4—44no—
1096C2×D4—44no—
1097C2×D4—44no—
1098C2×D4—44no—
1099C2×D4—44no—
1100C2×D4—416no—
1101C2×D4—816no—
1102C2×D4—816no—
1103C2×D4C2×#4118yes—
1104C2×D4C2×#4118yes—
1105C22×C4—232no—
1106C22×C4—22no—
1107C22×C4—22no—
1108C22×C4—22no—
1109C22×C4—22no—
1110C22×C4—22no—
1111C22×C4—22no—
1112C22×C4—22no—
1113C22×C4—22no—
1114C22×C4—22no—
1115C22×C4—22no—
1116C22×C4—22no—
1117C22×C4—22no—
1118C22×C4—22no—
1119C22×C4—22no—
1120C22×C4—22no—
1121C22×C4—22no—
1122C22×C4—22no—
1123C22×C4—22no—
1124C22×C4—24no—
1125C22×C4—24no—
1126C22×C4—24no—
1127C22×C4—22no—
1128C22×C4—22no—
1129C22×C4—22no—
1130C22×C4—22no—
1131C22×C4—22no—
1132C22×C4—24no—
1133C22×C4—24no—
1134C22×C4—24no—
1135C22×C4—28no—
1136C22×C4—24no—
1137C22×C4—24no—
1138C22×C4—24no—
1139C22×C4—24no—
1140C22×C4—24no—
1141C22×C4—24no—
1142C22×C4—28no—
1143C22×C4—24no—
1144C22×C4—24no—
1145C22×C4—24no—
1146C22×C4—24no—
1147C22×C4—24no—
1148C22×C4—24no—
1149C22×C4—42no—
1150C22×C4—42no—
1151C22×C4—42no—
1152C22×C4—42no—
1153C22×C4—42no—
1154C22×C4—42no—
1155C22×C4—42no—
1156C22×C4—42no—
1157C22×C4—416no—
1158C22×C4—42no—
1159C22×C4—44no—
1160C22×C4—44no—
1161C22×C4—42no—
1162C22×C4—42no—
1163C22×C4—42no—
1164C22×C4—42no—
1165C22×C4—42no—
1166C22×C4—42no—
1167C22×C4—42no—
1168C22×C4—42no—
1169C22×C4—42no—
1170C22×C4—42no—
1171C22×C4—42no—
1172C22×C4—42no—
1173C22×C4—42no—
1174C22×C4—42no—
1175C22×C4—42no—
1176C22×C4—42no—
1177C22×C4—42no—
1178C22×C4—42no—
1179C22×C4—44no—
1180C22×C4—44no—
1181C22×C4—44no—
1182C22×C4—44no—
1183C22×C4—42no—
1184C22×C4—44no—
1185C22×C4—42no—
1186C22×C4—42no—
1187C22×C4—44no—
1188C22×C4—44no—
1189C22×C4—44no—
1190C22×C4—416no—
1191C22×C4—88no—
1192C22×C4—816no—
1193C22×C4C2×#4114yes—
1194C22×C4C2×#4114yes—
1195C22×C4C2×#4114yes—
1196C22×C4C2×#4114yes—
1197C22×C4C2×#4114yes—
1198C22×C4C2×#4114yes—
1199C22×C4C2×#4114yes—
1200C22×C4C2512yes—
1201C22×C4C2514yes—
1202C22×C4C2512yes—
1203C22×C4C2514yes—
1204C22×C4C2512yes—
1205C22×C4C2514yes—
1206C22×C4C2512yes—
1207C22×C4C2514yes—
1208C22×C4C2514yes—
1209C22×C4C2512yes—
1210C22×C4C2514yes—
1211C22×C4C2514yes—
1212C22×C4C2512yes—
1213C22×C4C2512yes—
1214C22×C4C2514yes—
1215C22×C4C2511yescharacteristic
1216C22×C4C2511yescharacteristic
1217C22×C4C2512yes—
1218C22×C4C2511yescharacteristic
1219C22×C4C2511yescharacteristic
1220C4⋊C4—24no—
1221C4⋊C4—24no—
1222C4⋊C4—24no—
1223C4⋊C4—24no—
1224C4⋊C4—28no—
1225C4⋊C4—44no—
1226C4⋊C4—44no—
1227C4⋊C4—44no—
1228C4⋊C4—44no—
1229C4⋊C4—44no—
1230C4⋊C4—44no—
1231C4⋊C4—44no—
1232C4⋊C4—44no—
1233C4⋊C4—44no—
1234C4⋊C4—44no—
1235C4⋊C4—44no—
1236C4⋊C4—44no—
1237C4⋊C4—44no—
1238C4⋊C4—44no—
1239C4⋊C4—44no—
1240C4⋊C4—44no—
1241C4⋊C4—44no—
1242C4⋊C4—44no—
1243C4⋊C4—44no—
1244C4⋊C4—44no—
1245C4⋊C4—44no—
1246C4⋊C4—44no—
1247C22⋊C4—24no—
1248C22⋊C4—24no—
1249C22⋊C4—24no—
1250C22⋊C4—24no—
1251C22⋊C4—24no—
1252C22⋊C4—24no—
1253C22⋊C4—28no—
1254C22⋊C4—24no—
1255C22⋊C4—24no—
1256C22⋊C4—24no—
1257C22⋊C4—24no—
1258C22⋊C4—24no—
1259C22⋊C4—24no—
1260C22⋊C4—24no—
1261C22⋊C4—24no—
1262C22⋊C4—24no—
1263C22⋊C4—24no—
1264C22⋊C4—24no—
1265C22⋊C4—24no—
1266C22⋊C4—24no—
1267C22⋊C4—24no—
1268C22⋊C4—28no—
1269C22⋊C4—28no—
1270C22⋊C4—28no—
1271C22⋊C4—24no—
1272C22⋊C4—24no—
1273C22⋊C4—24no—
1274C22⋊C4—24no—
1275C22⋊C4—24no—
1276C22⋊C4—24no—
1277C22⋊C4—24no—
1278C22⋊C4—24no—
1279C22⋊C4—28no—
1280C22⋊C4—28no—
1281C22⋊C4—44no—
1282C22⋊C4—44no—
1283C22⋊C4—44no—
1284C22⋊C4—44no—
1285C22⋊C4—44no—
1286C22⋊C4—44no—
1287C22⋊C4—44no—
1288C22⋊C4—44no—
1289C22⋊C4—44no—
1290C22⋊C4—44no—
1291C22⋊C4—44no—
1292C22⋊C4—44no—
1293C22⋊C4—44no—
1294C22⋊C4—44no—
1295C22⋊C4—44no—
1296C22⋊C4—44no—
1297C22⋊C4—44no—
1298C22⋊C4—44no—
1299C22⋊C4—44no—
1300C22⋊C4—44no—
1301C22⋊C4—44no—
1302C22⋊C4—44no—
1303C22⋊C4—44no—
1304C22⋊C4—44no—
1305C22⋊C4—44no—
1306C22⋊C4—44no—
1307C22⋊C4—44no—
1308C22⋊C4—44no—
1309C22⋊C4—44no—
1310C22⋊C4—44no—
1311C42—24no—
1312C42—24no—
1313C42—24no—
1314C42—24no—
1315C42—28no—
1316C42—44no—
1317C42—44no—
1318C42—44no—
1319C42—44no—
1320C42—44no—
1321C42—44no—
1322C42—44no—
1323C42—44no—
1324C42—44no—
1325C23—22no—
1326C23—22no—
1327C23—22no—
1328C23—22no—
1329C23—22no—
1330C23—22no—
1331C23—28no—
1332C23—22no—
1333C23—22no—
1334C23—22no—
1335C23—22no—
1336C23—22no—
1337C23—24no—
1338C23—22no—
1339C23—24no—
1340C23—22no—
1341C23—22no—
1342C23—28no—
1343C23—22no—
1344C23—22no—
1345C23—22no—
1346C23—22no—
1347C23—22no—
1348C23—22no—
1349C23—24no—
1350C23—22no—
1351C23—22no—
1352C23—24no—
1353C23—22no—
1354C23—22no—
1355C23—44no—
1356C23—44no—
1357C23—48no—
1358C23—48no—
1359C23—48no—
1360C23—48no—
1361C23—48no—
1362C23—48no—
1363C23—48no—
1364C23—48no—
1365C23—48no—
1366C23—48no—
1367C23—48no—
1368C23—44no—
1369C23—48no—
1370C23—44no—
1371C23—44no—
1372C23—44no—
1373C23—44no—
1374C23—48no—
1375C23—48no—
1376C23—44no—
1377C23—84no—
1378C23—82no—
1379C23—82no—
1380C23—82no—
1381C23—82no—
1382C23—84no—
1383C23—84no—
1384C23—84no—
1385C23—84no—
1386C23—84no—
1387C23—84no—
1388C23—84no—
1389C23—84no—
1390C23—84no—
1391C23—864no—
1392C23#551116yes—
1393C23C22×#4114yes—
1394C23C22×#4112yes—
1395C23C22×#4112yes—
1396C23C22×#4112yes—
1397C23C22×#4112yes—
1398C23C22×#4112yes—
1399C23C22×#4112yes—
1400C23C2×H(5,𝔽2)12yes—
1401C23C2×H(5,𝔽2)12yes—
1402C23C2×H(5,𝔽2)12yes—
1403C23#58514yes—
1404C23C2611yescharacteristic
1405Q8—48no—
1406Q8—48no—
1407Q8—164no—
1408D4—216no—
1409D4—216no—
1410D4—48no—
1411D4—48no—
1412D4—416no—
1413D4—48no—
1414D4—48no—
1415D4—88no—
1416D4—88no—
1417D4—88no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—22no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—22no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—28no—
1429C2×C4—28no—
1430C2×C4—28no—
1431C2×C4—28no—
1432C2×C4—28no—
1433C2×C4—28no—
1434C2×C4—28no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—24no—
1440C2×C4—24no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—24no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—24no—
1447C2×C4—24no—
1448C2×C4—24no—
1449C2×C4—24no—
1450C2×C4—24no—
1451C2×C4—22no—
1452C2×C4—24no—
1453C2×C4—24no—
1454C2×C4—24no—
1455C2×C4—24no—
1456C2×C4—24no—
1457C2×C4—24no—
1458C2×C4—24no—
1459C2×C4—24no—
1460C2×C4—24no—
1461C2×C4—24no—
1462C2×C4—24no—
1463C2×C4—24no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—24no—
1467C2×C4—24no—
1468C2×C4—24no—
1469C2×C4—24no—
1470C2×C4—24no—
1471C2×C4—24no—
1472C2×C4—24no—
1473C2×C4—24no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—48no—
1477C2×C4—48no—
1478C2×C4—48no—
1479C2×C4—48no—
1480C2×C4—44no—
1481C2×C4—44no—
1482C2×C4—48no—
1483C2×C4—44no—
1484C2×C4—84no—
1485C2×C4—84no—
1486C2×C4—88no—
1487C2×C4—82no—
1488C2×C4—82no—
1489C2×C4—82no—
1490C2×C4—82no—
1491C2×C4—84no—
1492C2×C4—84no—
1493C2×C4—84no—
1494C2×C4—84no—
1495C2×C4—88no—
1496C2×C4—84no—
1497C2×C4—84no—
1498C2×C4—84no—
1499C2×C4—88no—
1500C2×C4—164no—
1501C2×C4C22×#4112yes—
1502C2×C4C22×#4112yes—
1503C2×C4C22×#4114yes—
1504C2×C4C22×#4112yes—
1505C2×C4C22×#4112yes—
1506C22—24no—
1507C22—24no—
1508C22—24no—
1509C22—22no—
1510C22—22no—
1511C22—22no—
1512C22—22no—
1513C22—22no—
1514C22—22no—
1515C22—24no—
1516C22—24no—
1517C22—24no—
1518C22—28no—
1519C22—24no—
1520C22—24no—
1521C22—24no—
1522C22—24no—
1523C22—416no—
1524C22—416no—
1525C22—42no—
1526C22—42no—
1527C22—42no—
1528C22—42no—
1529C22—42no—
1530C22—44no—
1531C22—42no—
1532C22—42no—
1533C22—42no—
1534C22—44no—
1535C22—42no—
1536C22—42no—
1537C22—42no—
1538C22—42no—
1539C22—44no—
1540C22—42no—
1541C22—42no—
1542C22—42no—
1543C22—42no—
1544C22—88no—
1545C22—816no—
1546C22—816no—
1547C22—88no—
1548C22—88no—
1549C22C2×#55114yes—
1550C22C2×#55114yes—
1551C22C2×#55114yes—
1552C22C23×#4111yescharacteristic
1553C22C23×#4111yescharacteristic
1554C22C22×H(5,𝔽2)11yescharacteristic
1555C22C2×#58512yes—
1556C22H(7,𝔽2)12yes—
1557C4—22no—
1558C4—22no—
1559C4—22no—
1560C4—22no—
1561C4—24no—
1562C4—44no—
1563C4—44no—
1564C4—44no—
1565C4—42no—
1566C4—42no—
1567C4—42no—
1568C4—42no—
1569C4—42no—
1570C4—42no—
1571C4—44no—
1572C4—44no—
1573C4—44no—
1574C4—44no—
1575C4—44no—
1576C4—42no—
1577C2—24no—
1578C2—24no—
1579C2—24no—
1580C2—44no—
1581C2—44no—
1582C2—82no—
1583C2—82no—
1584C2C22×#55111yescharacteristic
1585C2#6281411yescharacteristic
1586C2#6285511yescharacteristic
1587C2#6290012yes—
1588C2#6299012yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#2404C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59269C2semidirect
2. #59265C2semidirect
3. #59195C2semidirect
4. #59193C2semidirect
5. #44786C2semidirect
6. #44023C2semidirect
7. #43975C2semidirect
8. #43931C2semidirect
9. #39037C2semidirect
10. #38199C2semidirect
11. #38114C2semidirect
12. #36330C2semidirect
13. #35370C2semidirect
14. #35367C2semidirect
15. #35359C2semidirect
16. #35350C2semidirect
17. #35090C2semidirect
18. #34995C2semidirect
19. #34992C2semidirect
20. C2×#2482C2semidirect
22. #34251C2semidirect
23. #34198C2semidirect
24. #34177C2semidirect
25. #34172C2semidirect
26. C2×#2342C2semidirect
27. #34044C2semidirect
38. #2855C22semidirect
39. #2852C22semidirect
40. #2849C22semidirect
41. #2798C22semidirect
42. #2798C22semidirect
43. #2797C22semidirect
44. #2764C22semidirect
45. #2763C22semidirect
46. #2759C22semidirect
47. #2759C22semidirect
48. #2756C22semidirect
49. #2754C22semidirect
50. #2754C22semidirect
51. #2753C22semidirect
52. #2752C22semidirect
53. #2749C22semidirect
54. #2748C22semidirect
55. #2746C22semidirect
56. #2743C22semidirect
57. #2741C22semidirect
58. #2741C22semidirect
59. #2740C22semidirect
60. #2737C22semidirect
61. #2730C22semidirect
62. #2717C22semidirect
63. #2706C22semidirect
64. #2705C22semidirect
65. #2643C22semidirect
66. #2627C22semidirect
67. #2622C22semidirect
68. #2610C22semidirect
69. #2607C22semidirect
70. #2603C22semidirect
71. #2602C22semidirect
72. #2589C22semidirect
73. #2589C22semidirect
74. #2578C22semidirect
75. #2578C22semidirect
76. #2576C22semidirect
77. #2572C22semidirect
78. #2564C22semidirect
79. #2564C22semidirect
81. #2557C22semidirect
82. #2554C22semidirect
83. #2553C22semidirect
84. #2553C22semidirect
85. #2532C22semidirect
86. #2532C22semidirect
87. #2531C22semidirect
88. #2531C22semidirect
89. #2527C22semidirect
90. #2527C22semidirect
91. #2526C22semidirect
92. #2523C22semidirect
93. #2521C22semidirect
94. #2521C22semidirect
95. #2518C22semidirect
96. #2518C22semidirect
97. #2516C22semidirect
98. #2510C22semidirect
99. #2510C22semidirect
100. #2510C22semidirect
101. #2510C22semidirect
102. #2510C22semidirect
103. #2498C22semidirect
104. #2493C22semidirect
105. #2493C22semidirect
106. #2488C22semidirect
111. #2482C22semidirect
112. #2482C22semidirect
113. #2482C22semidirect
114. #2482C22semidirect
115. #2481C22semidirect
116. #2481C22semidirect
117. #2481C22semidirect
118. #2480C22semidirect
119. #2480C22semidirect
120. #2472C22semidirect
121. #2472C22semidirect
122. #2472C22semidirect
123. #2472C22semidirect
124. #2471C22semidirect
125. #2467C22semidirect
126. #2461C22semidirect
127. #2450C22semidirect
128. #2449C22semidirect
129. #2438C22semidirect
130. #2438C22semidirect
131. #2438C22semidirect
132. #2438C22semidirect
133. #2438C22semidirect
134. #2437C22semidirect
136. #2419C22semidirect
137. #2418C22semidirect
138. #2418C22semidirect
139. #2418C22semidirect
140. #2418C22semidirect
141. #2417C22semidirect
142. #2412C22semidirect
143. #2412C22semidirect
152. C2×#399C22semidirect
153. C2×#397C22semidirect
156. #2374C22semidirect
157. #2372C22semidirect
158. #2359C22semidirect
159. #2358C22semidirect
160. #2358C22semidirect
161. #2353C22semidirect
162. #2353C22semidirect
163. #2352C22semidirect
164. #2343C22semidirect
165. #2343C22semidirect
166. #2343C22semidirect
167. #2343C22semidirect
168. #2343C22semidirect
172. #2342C22semidirect
173. #2342C22semidirect
174. #2342C22semidirect
175. #2339C22semidirect
176. #2339C22semidirect
177. #2339C22semidirect
178. #2339C22semidirect
180. #2321C22semidirect
181. #2318C22semidirect
187. #2313C22semidirect
188. #2313C22semidirect
189. #2311C22semidirect
190. #2311C22semidirect
191. #2311C22semidirect
192. #2310C22semidirect
193. #2310C22semidirect
194. #2309C22semidirect
201. #2308C22semidirect
202. C4×#120C22semidirect
203. #2297C22semidirect
204. #2297C22semidirect
205. #2297C22semidirect
206. #2290C22semidirect
207. C2×#388C22semidirect
208. C2×#388C22semidirect
209. C2×#388C22semidirect
210. C2×#388C22semidirect
217. C2×#385C22semidirect
218. #2283C22semidirect
219. #2283C22semidirect
220. #2280C22semidirect
221. #2280C22semidirect
222. #2280C22semidirect
226. C2×#381C22semidirect
234. C2×C4×C22⋊C4C22semidirect
255. C2×#126C23semidirect
256. C2×#126C23semidirect
266. C2×C22⋊Q8C23semidirect
295. C2×#117C23semidirect
341. #401C23semidirect
342. #401C23semidirect
343. #400C23semidirect
344. #400C23semidirect
345. #400C23semidirect
346. #400C23semidirect
347. #400C23semidirect
348. #400C23semidirect
349. #400C23semidirect
350. #400C23semidirect
351. #400C23semidirect
358. #399C23semidirect
359. #398C23semidirect
360. #398C23semidirect
361. #398C23semidirect
362. #398C23semidirect
363. #398C23semidirect
364. #398C23semidirect
377. #397C23semidirect
378. #397C23semidirect
379. #397C23semidirect
380. #397C23semidirect
381. #397C23semidirect
382. #397C23semidirect
383. #396C23semidirect
384. #396C23semidirect
385. #396C23semidirect
386. #396C23semidirect
387. #395C23semidirect
388. #395C23semidirect
389. #395C23semidirect
408. #393C23semidirect
413. #391C23semidirect
414. #391C23semidirect
415. #391C23semidirect
416. #391C23semidirect
417. #391C23semidirect
418. #391C23semidirect
419. #391C23semidirect
420. #391C23semidirect
421. #391C23semidirect
422. #391C23semidirect
423. #391C23semidirect
428. #390C23semidirect
429. #390C23semidirect
430. #390C23semidirect
431. #390C23semidirect
432. #389C23semidirect
433. #389C23semidirect
434. #389C23semidirect
463. #388C23semidirect
464. #388C23semidirect
465. #388C23semidirect
466. #388C23semidirect
467. #388C23semidirect
468. #388C23semidirect
469. #388C23semidirect
470. #388C23semidirect
471. #388C23semidirect
472. #388C23semidirect
473. #387C23semidirect
474. #387C23semidirect
475. #387C23semidirect
476. #387C23semidirect
477. #387C23semidirect
478. #387C23semidirect
479. #387C23semidirect
480. #387C23semidirect
481. #387C23semidirect
482. #387C23semidirect
483. #387C23semidirect
484. #387C23semidirect
485. #387C23semidirect
486. #387C23semidirect
487. #387C23semidirect
488. #387C23semidirect
489. #387C23semidirect
490. #387C23semidirect
491. #387C23semidirect
492. #387C23semidirect
493. #387C23semidirect
494. #387C23semidirect
495. #387C23semidirect
496. #387C23semidirect
535. #386C23semidirect
536. #386C23semidirect
537. #386C23semidirect
538. #386C23semidirect
563. #385C23semidirect
564. #385C23semidirect
565. #383C23semidirect
566. #383C23semidirect
567. #383C23semidirect
568. #383C23semidirect
569. #383C23semidirect
570. #382C23semidirect
571. #382C23semidirect
572. #382C23semidirect
593. #381C23semidirect
594. #381C23semidirect
595. #381C23semidirect
605. #380C23semidirect
606. #380C23semidirect
607. #380C23semidirect
608. #380C23semidirect
609. #380C23semidirect
610. #380C23semidirect
611. #380C23semidirect
612. #380C23semidirect
627. C4×C4⋊C4C23semidirect
628. C4×C4⋊C4C23semidirect
629. C4×C4⋊C4C23semidirect
646. C4×C22⋊C4C23semidirect
647. C4×C22⋊C4C23semidirect
648. C4×C22⋊C4C23semidirect
649. C4×C22⋊C4C23semidirect
650. C4×C22⋊C4C23semidirect
651. C4×C22⋊C4C23semidirect
652. C4×C22⋊C4C23semidirect
653. #376C23semidirect
654. #376C23semidirect
655. #376C23semidirect
668. C2×#95C23semidirect
669. C2×#95C23semidirect

Maximal subgroups

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

subgroupindex
#592692
#592652
#591952
#591932
#447862
#440232
#439752
#439312
#390372
#381992
#381142
#363302
#353702
#353672
#353592
#353502
#350902
#349952
#349922
C2×#24822
C2×#24042
#342512
#341982
#341772
#341722
C2×#23422
#340442