Finite Group Databasebeta

← #7676332

Subgroups — #7676332

Order 512.

5782 conjugacy classes of subgroups.

The subgroup lattice has 1555 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59862C214yesmaximal, complemented
2#59861C214yesmaximal, complemented
3#59636C214yesmaximal, complemented
4#59635C214yesmaximal, complemented
5#43602C214yesmaximal, complemented
6#43598C214yesmaximal, complemented
7#43179C214yesmaximal, complemented
8#43175C214yesmaximal, complemented
9#39267C214yesmaximal, complemented
10#39265C214yesmaximal, complemented
11#39195C214yesmaximal, complemented
12#36521C214yesmaximal, complemented
13#35455C211yesmaximal, characteristic, complemented
14#35448C211yesmaximal, characteristic, complemented
15#35367C211yesmaximal, characteristic, complemented
16#35350C211yesmaximal, characteristic, complemented
17#35097C211yesmaximal, characteristic, complemented
18#35019C211yesmaximal, characteristic, complemented
19#34992C211yesmaximal, characteristic, complemented
20C2×#2561C211yesmaximal, characteristic, complemented
21C2×#2539C211yesmaximal, characteristic
22#34212C211yesmaximal, characteristic, complemented
23#34205C211yesmaximal, characteristic, complemented
24#34199C211yesmaximal, characteristic, complemented
25#34198C211yesmaximal, characteristic, complemented
26C2×#2342C211yesmaximal, characteristic, complemented
27C4×#543C211yesmaximal, characteristic, complemented
28C2×#543C2211yescharacteristic
29C22×#123C2211yescharacteristic
30C22×#123C2211yescharacteristic
31C22×C22⋊Q8C2211yescharacteristic
32C22×#121C2211yescharacteristic
33C22×#120C2211yescharacteristic
34C22×#120C2211yescharacteristic
35C2×#518C2211yescharacteristic
36C2×#518C2211yescharacteristic
37C22×#117C2211yescharacteristic
38C23×C22⋊C4C2211yescharacteristic
39C23×C22⋊C4C2211yescharacteristic
40#2853C2214yescomplemented
41#2850C2214yescomplemented
42#2849C2214yescomplemented
43#2808C2214yescomplemented
44#2808C2214yescomplemented
45#2807C2214yescomplemented
46#2804C2214yescomplemented
47#2803C2214yescomplemented
48#2803C2214yescomplemented
49#2798C2214yescomplemented
50#2798C2214yescomplemented
51#2797C2214yescomplemented
52#2797C2214yescomplemented
53#2796C2214yescomplemented
54#2796C2214yescomplemented
55#2773C2214yescomplemented
56#2773C2214yescomplemented
57#2771C2214yescomplemented
58#2754C2214yescomplemented
59#2754C2214yescomplemented
60#2752C2214yescomplemented
61#2751C2214yescomplemented
62#2751C2214yescomplemented
63#2724C2214yescomplemented
64#2712C2214yescomplemented
65#2710C2214yescomplemented
66#2710C2214yescomplemented
67#2639C2214yescomplemented
68#2623C2214yescomplemented
69#2622C2214yescomplemented
70#2607C2214yescomplemented
71#2602C2214yescomplemented
72#2602C2214yescomplemented
73#2600C2214yescomplemented
74#2597C2214yescomplemented
75#2597C2214yescomplemented
76#2597C2214yescomplemented
77#2597C2214yescomplemented
78#2596C2214yescomplemented
79#2596C2214yescomplemented
80#2595C2214yescomplemented
81#2595C2214yescomplemented
82#2593C2214yescomplemented
83#2593C2214yescomplemented
84#2592C2214yescomplemented
85#2591C2212yescomplemented
86#2591C2212yescomplemented
87#2589C2214yescomplemented
88#2589C2214yescomplemented
89#2580C2214yescomplemented
90#2575C2214yescomplemented
91#2575C2214yescomplemented
92#2561C2214yes—
93#2561C2214yes—
94#2561C2214yes—
95#2561C2212yescomplemented
96#2561C2212yescomplemented
97#2561C2212yescomplemented
98#2561C2212yescomplemented
99#2561C2214yescomplemented
100#2561C2212yescomplemented
101#2561C2212yescomplemented
102#2557C2214yescomplemented
103#2557C2214yescomplemented
104#2539C2212yes—
105#2539C2214yes—
106#2539C2212yes—
107#2539C2212yes—
108#2539C2212yes—
109#2539C2214yes—
110#2517C2214yescomplemented
111#2516C2214yescomplemented
112#2516C2214yescomplemented
113#2513C2214yescomplemented
114#2513C2214yescomplemented
115#2504C2212yescomplemented
116#2503C2212yescomplemented
117#2503C2214yescomplemented
118#2498C2214yescomplemented
119#2498C2214yescomplemented
120#2488C2214yescomplemented
121#2488C2214yescomplemented
122#2488C2214yescomplemented
123#2488C2214yescomplemented
124#2484C2214yescomplemented
125#2484C2214yescomplemented
126#2483C2214yes—
127#2483C2214yescomplemented
128#2482C2214yes—
129#2482C2214yescomplemented
130#2472C2214yescomplemented
131#2472C2214yescomplemented
132#2472C2214yescomplemented
133#2472C2214yescomplemented
134#2459C2214yescomplemented
135#2459C2214yescomplemented
136#2458C2214yescomplemented
137#2458C2214yescomplemented
138#2458C2214yescomplemented
139#2458C2214yescomplemented
140#2455C2214yescomplemented
141#2448C2214yescomplemented
142#2447C2214yescomplemented
143#2436C2212yescomplemented
144#2435C2214yes—
145#2435C2212yescomplemented
146#2419C2214yescomplemented
147#2419C2214yescomplemented
148#2419C2214yescomplemented
149#2419C2214yescomplemented
150#2418C2214yescomplemented
151#2418C2214yescomplemented
152#2418C2214yescomplemented
153#2418C2214yescomplemented
154#2412C2214yescomplemented
155#2412C2214yescomplemented
156#2405C2214yes—
157#2405C2214yes—
158C2×#399C2212yes—
159C2×#397C2212yescomplemented
160C2×#393C2212yescomplemented
161C2×#392C2212yes—
162#2374C2214yescomplemented
163#2374C2214yescomplemented
164#2368C2214yescomplemented
165#2367C2214yescomplemented
166#2364C2214yescomplemented
167#2361C2214yescomplemented
168#2360C2214yescomplemented
169#2359C2214yescomplemented
170#2359C2214yescomplemented
171#2358C2214yescomplemented
172#2358C2214yescomplemented
173#2357C2214yescomplemented
174#2345C2212yescomplemented
175#2345C2212yescomplemented
176#2345C2212yescomplemented
177#2344C2212yescomplemented
178#2344C2214yescomplemented
179#2342C2214yes—
180#2342C2214yes—
181#2342C2214yes—
182#2342C2214yescomplemented
183#2342C2214yescomplemented
184#2342C2214yescomplemented
185#2342C2212yescomplemented
186#2342C2212yescomplemented
187Q8×C22⋊C4C2212yescomplemented
188D4×C22⋊C4C2214yes—
189D4×C22⋊C4C2212yescomplemented
190#2329C2214yescomplemented
191#2329C2214yescomplemented
192#2329C2214yescomplemented
193#2329C2214yescomplemented
194#2325C2214yescomplemented
195#2322C2214yescomplemented
196#2321C2214yescomplemented
197#2315C2211yescharacteristic
198#2315C2211yescharacteristic
199#2315C2211yescharacteristic
200#2315C2211yescharacteristic
201#2315C2211yescharacteristic
202#2308C2211yescharacteristic
203#2308C2211yescharacteristic
204#2308C2211yescharacteristic
205#2308C2211yescharacteristic
206#2308C2211yescharacteristic
207#2308C2211yescharacteristic
208C4×C22⋊Q8C2214yescomplemented
209C4×C22⋊Q8C2214yescomplemented
210C4×C22⋊Q8C2214yescomplemented
211C4×C22⋊Q8C2214yescomplemented
212C4×#123C2214yescomplemented
213C4×#121C2214yescomplemented
214C4×#120C2214yescomplemented
215C2×#390C2212yes—
216C2×#390C2212yes—
217C2×#388C2212yescomplemented
218C2×#388C2212yescomplemented
219C2×#388C2212yescomplemented
220C2×#388C2212yescomplemented
221C2×#385C2212yescomplemented
222C2×#381C2211yescharacteristic
223C2×#381C2211yescharacteristic
224C2×#381C2211yescharacteristic
225C2×#380C2211yescharacteristic
226C2×#379C2211yescharacteristic
227C2×#379C2211yescharacteristic
228C2×#379C2211yescharacteristic
229#2273C2211yescharacteristic
230#2273C2211yescharacteristic
231C2×C4×C22⋊C4C2211yescharacteristic
232C2×C4×C22⋊C4C2211yescharacteristic
233C2×C4×C22⋊C4C2211yescharacteristic
234C2×C4×C22⋊C4C2212yescomplemented
235C26C2311yescharacteristic
236C23×Q8C2311yescharacteristic
237C23×D4C2311yescharacteristic
238C23×D4C2311yescharacteristic
239C23×D4C2312yes—
240C23×D4C2311yescharacteristic
241C23×D4C2312yes—
242C24×C4C2311yescharacteristic
243C24×C4C2312yes—
244C24×C4C2311yescharacteristic
245#543—28no—
246C2×#124C2314yes—
247C2×#124C2314yes—
248C2×#124C2314yescomplemented
249C2×#123—28no—
250C2×#123—44no—
251C2×#123C2312yes—
252C2×#123C2314yes—
253C2×#123C2312yes—
254C2×#123C2314yes—
255C2×#123C2312yes—
256C2×#123C2312yes—
257C2×#123C2314yes—
258C2×#123C2314yes—
259C2×#123C2314yes—
260C2×#123C2314yes—
261C2×C22⋊Q8—28no—
262C2×C22⋊Q8C2312yes—
263C2×C22⋊Q8C2312yes—
264C2×C22⋊Q8C2314yes—
265C2×C22⋊Q8C2312yes—
266C2×C22⋊Q8C2312yes—
267C2×C22⋊Q8C2314yes—
268C2×C22⋊Q8C2314yes—
269C2×#121—28no—
270C2×#121C2312yes—
271C2×#121C2312yes—
272C2×#121C2312yes—
273C2×#121C2312yes—
274C2×#120—28no—
275C2×#120—44no—
276C2×#120C2312yes—
277C2×#120C2314yes—
278C2×#120C2312yes—
279C2×#120C2312yes—
280C2×#120C2312yes—
281C2×#120C2314yes—
282#518—44no—
283#518—44no—
284C2×C4×Q8C2314yescomplemented
285C2×C4×Q8C2314yescomplemented
286C2×C4×D4C2314yes—
287C2×C4×D4C2314yes—
288C2×C4×D4C2314yes—
289C2×C4×D4C2314yes—
290C2×C4×D4C2314yes—
291C2×C4×D4C2314yes—
292C2×C4×D4C2314yescomplemented
293C2×#117—44no—
294C2×#117C2314yes—
295C2×#117C2312yes—
296C2×#117C2314yes—
297C2×#117C2312yes—
298C22×C4⋊C4C2311yescharacteristic
299C22×C4⋊C4C2311yescharacteristic
300C22×C4⋊C4C2311yescharacteristic
301C22×C4⋊C4C2312yes—
302C22×C4⋊C4C2311yescharacteristic
303C22×C4⋊C4C2312yes—
304C22×C4⋊C4C2312yes—
305C22×C4⋊C4C2312yes—
306C22×C22⋊C4—28no—
307C22×C22⋊C4—44no—
308C22×C22⋊C4C2312yes—
309C22×C22⋊C4C2312yes—
310C22×C22⋊C4C2312yes—
311C22×C22⋊C4C2312yes—
312C22×C22⋊C4C2311yescharacteristic
313C22×C22⋊C4C2311yescharacteristic
314C22×C22⋊C4C2311yescharacteristic
315C22×C22⋊C4C2311yescharacteristic
316C22×C22⋊C4C2311yescharacteristic
317C22×C22⋊C4C2311yescharacteristic
318C22×C22⋊C4C2311yescharacteristic
319C22×C22⋊C4C2311yescharacteristic
320C22×C22⋊C4C2311yescharacteristic
321C22×C22⋊C4C2311yescharacteristic
322C22×C22⋊C4C2311yescharacteristic
323C22×C22⋊C4C2311yescharacteristic
324C22×C22⋊C4C2311yescharacteristic
325C22×C22⋊C4C2311yescharacteristic
326C22×C22⋊C4C2311yescharacteristic
327C22×C22⋊C4C2312yes—
328C22×C22⋊C4C2312yes—
329C22×C22⋊C4C2312yes—
330C22×C22⋊C4C2312yes—
331C22×C22⋊C4C2314yes—
332C22×C22⋊C4C2312yes—
333C22×C22⋊C4C2314yes—
334C22×C22⋊C4C2312yes—
335C22×C22⋊C4C2312yes—
336C22×C22⋊C4C2312yes—
337C22×C22⋊C4C2312yes—
338C22×C22⋊C4C2312yes—
339C22×C22⋊C4C2312yes—
340C22×C22⋊C4C2312yes—
341C22×C22⋊C4C2312yes—
342C22×C22⋊C4C2311yescharacteristic
343C22×C42C2312yes—
344C22×C42C2312yes—
345C22×C42C2312yes—
346C22×C42C2312yes—
347#400C2314yescomplemented
348#400C2314yescomplemented
349#400C2314yescomplemented
350#400C2314yescomplemented
351#400C2314yescomplemented
352#400C2314yescomplemented
353#400C2314yescomplemented
354#400C2314yescomplemented
355#400C2314yescomplemented
356#400C2314yescomplemented
357#399C2314yes—
358#399C2314yes—
359#399C2314yes—
360#399C2314yes—
361#399C2314yes—
362#399C2314yes—
363#399C2314yescomplemented
364#399C2314yescomplemented
365#398C2314yescomplemented
366#398C2314yescomplemented
367#398C2314yescomplemented
368#398C2314yescomplemented
369#397C2314yes—
370#397C2314yes—
371#397C2314yes—
372#397C2314yes—
373#397C2314yes—
374#397C2314yes—
375#397C2314yes—
376#397C2314yes—
377#397C2314yes—
378#397C2314yes—
379#397C2314yes—
380#397C2314yes—
381#397C2314yescomplemented
382#397C2314yescomplemented
383#397C2314yescomplemented
384#397C2314yescomplemented
385#397C2314yescomplemented
386#397C2314yescomplemented
387#397C2314yescomplemented
388#397C2314yescomplemented
389#397C2314yescomplemented
390#397C2314yescomplemented
391#394C2314yes—
392#394C2314yes—
393#394C2314yes—
394#394C2314yes—
395#394C2314yes—
396#394C2314yes—
397#394C2314yes—
398#394C2314yes—
399#394C2314yes—
400#394C2314yes—
401#394C2314yes—
402#394C2314yes—
403#394C2314yescomplemented
404#394C2314yescomplemented
405#393C2314yes—
406#393C2314yes—
407#393C2314yes—
408#393C2314yes—
409#393C2314yes—
410#393C2314yes—
411#393C2314yescomplemented
412#393C2314yescomplemented
413#393C2314yescomplemented
414#393C2314yescomplemented
415#392C2314yes—
416#392C2314yes—
417#392C2314yes—
418#392C2314yes—
419#391C2314yescomplemented
420#391C2314yescomplemented
421#391C2314yescomplemented
422#391C2314yescomplemented
423#391C2314yescomplemented
424#391C2314yescomplemented
425#391C2314yescomplemented
426#391C2314yescomplemented
427#391C2314yescomplemented
428#390C2314yes—
429#390C2314yes—
430#390C2314yes—
431#390C2314yes—
432#390C2314yes—
433#390C2314yes—
434#390C2314yes—
435#390C2314yes—
436#390C2314yes—
437#390C2314yes—
438#390C2314yes—
439#390C2314yes—
440#390C2314yescomplemented
441#390C2314yescomplemented
442#389C2314yescomplemented
443#389C2314yescomplemented
444#389C2314yescomplemented
445#389C2314yescomplemented
446#389C2314yescomplemented
447#389C2314yescomplemented
448#389C2314yescomplemented
449#389C2314yescomplemented
450#389C2314yescomplemented
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#388C2314yes—
464#388C2314yes—
465#388C2314yes—
466#388C2314yes—
467#388C2314yes—
468#388C2314yes—
469#388C2314yes—
470#388C2314yes—
471#388C2314yes—
472#388C2314yes—
473#388C2314yes—
474#388C2314yes—
475#388C2314yes—
476#388C2314yes—
477#388C2314yes—
478#388C2314yes—
479#388C2314yescomplemented
480#388C2314yescomplemented
481#388C2314yescomplemented
482#388C2314yescomplemented
483#388C2314yescomplemented
484#388C2314yescomplemented
485#388C2314yescomplemented
486#388C2314yescomplemented
487#388C2314yescomplemented
488#388C2314yescomplemented
489#388C2314yescomplemented
490#388C2314yescomplemented
491#388C2314yescomplemented
492#388C2314yescomplemented
493#388C2314yescomplemented
494#388C2314yescomplemented
495#388C2314yescomplemented
496#388C2314yescomplemented
497#388C2314yescomplemented
498#388C2314yescomplemented
499#387C2314yescomplemented
500#387C2314yescomplemented
501#387C2314yescomplemented
502#387C2314yescomplemented
503#387C2314yescomplemented
504#387C2314yescomplemented
505#387C2314yescomplemented
506#387C2314yescomplemented
507#387C2314yescomplemented
508#387C2314yescomplemented
509#387C2314yescomplemented
510#387C2314yescomplemented
511#387C2314yescomplemented
512#387C2314yescomplemented
513#387C2314yescomplemented
514#387C2314yescomplemented
515#387C2314yescomplemented
516#387C2314yescomplemented
517#387C2314yescomplemented
518#387C2314yescomplemented
519#387C2314yescomplemented
520#387C2314yescomplemented
521#387C2314yescomplemented
522#387C2314yescomplemented
523#387C2314yescomplemented
524#387C2314yescomplemented
525#386C2314yes—
526#386C2314yes—
527#386C2314yes—
528#386C2314yes—
529#386C2312yes—
530#386C2312yes—
531#386C2312yes—
532#386C2312yes—
533#386C2312yes—
534#386C2312yes—
535#386C2312yes—
536#386C2312yes—
537#386C2314yes—
538#386C2314yes—
539#386C2314yes—
540#386C2314yes—
541#386C2314yes—
542#386C2314yes—
543#386C2314yes—
544#386C2314yes—
545#386C2314yes—
546#386C2314yes—
547#386C2314yes—
548#386C2314yes—
549#386C2314yescomplemented
550#386C2314yescomplemented
551#385C2314yes—
552#385C2314yes—
553#385C2314yes—
554#385C2314yes—
555#385C2314yes—
556#385C2314yes—
557#385C2314yes—
558#385C2314yes—
559#385C2314yes—
560#385C2314yes—
561#385C2314yes—
562#385C2314yes—
563#385C2314yes—
564#385C2314yes—
565#385C2314yes—
566#385C2314yes—
567#385C2314yes—
568#385C2314yes—
569#385C2314yescomplemented
570#385C2314yescomplemented
571#385C2314yescomplemented
572#385C2314yescomplemented
573#385C2314yescomplemented
574#385C2314yescomplemented
575#382C2314yescomplemented
576#382C2314yescomplemented
577#382C2314yescomplemented
578#381C2312yes—
579#381C2314yes—
580#381C2312yes—
581#381C2314yes—
582#381C2312yes—
583#381C2312yes—
584#381C2312yes—
585#381C2312yes—
586#381C2312yes—
587#381C2312yes—
588#381C2312yes—
589#381C2314yes—
590#381C2312yes—
591#381C2314yes—
592#381C2314yes—
593#381C2314yes—
594#381C2314yescomplemented
595#381C2314yescomplemented
596#380C2314yes—
597#380C2314yes—
598#380C2314yes—
599#380C2312yes—
600#380C2312yes—
601#380C2312yes—
602#380C2312yes—
603#380C2312yes—
604#380C2312yes—
605#380C2312yes—
606#380C2312yes—
607#379C2314yes—
608#379C2314yes—
609#379C2314yes—
610#379C2312yes—
611#379C2312yes—
612#379C2312yes—
613#379C2312yes—
614#379C2312yes—
615#379C2312yes—
616#379C2312yes—
617#379C2312yes—
618#379C2312yes—
619#379C2312yes—
620#379C2314yes—
621C4×C4⋊C4C2314yescomplemented
622C4×C4⋊C4C2314yescomplemented
623C4×C4⋊C4C2314yescomplemented
624C4×C4⋊C4C2314yescomplemented
625C4×C4⋊C4C2314yescomplemented
626C4×C4⋊C4C2314yescomplemented
627C4×C4⋊C4C2314yescomplemented
628C4×C4⋊C4C2314yescomplemented
629C4×C4⋊C4C2314yescomplemented
630C4×C22⋊C4C2312yes—
631C4×C22⋊C4C2312yes—
632C4×C22⋊C4C2314yes—
633C4×C22⋊C4C2312yes—
634C4×C22⋊C4C2312yes—
635C4×C22⋊C4C2312yes—
636C4×C22⋊C4C2314yes—
637C4×C22⋊C4C2314yes—
638C4×C22⋊C4C2314yes—
639C4×C22⋊C4C2314yes—
640C4×C22⋊C4C2314yes—
641C4×C22⋊C4C2312yes—
642C4×C22⋊C4C2312yes—
643C4×C22⋊C4C2312yes—
644C4×C22⋊C4C2312yes—
645C4×C22⋊C4C2314yes—
646C4×C22⋊C4C2314yes—
647C4×C22⋊C4C2312yes—
648C4×C22⋊C4C2314yes—
649C4×C22⋊C4C2312yes—
650C4×C22⋊C4C2312yes—
651C4×C22⋊C4C2314yes—
652C4×C22⋊C4C2312yes—
653C4×C22⋊C4C2312yes—
654C4×C22⋊C4C2312yes—
655C4×C22⋊C4C2312yes—
656C4×C22⋊C4C2314yescomplemented
657C4×C22⋊C4C2314yescomplemented
658C4×C22⋊C4C2314yescomplemented
659C4×C22⋊C4C2314yescomplemented
660C2×#95C2312yes—
661C2×#95C2312yes—
662C2×#95C2312yes—
663C2×#95C2312yes—
664C2×#95C2312yes—
665C2×#95C2312yes—
666C2×#95C2312yes—
667C2×#95C2312yes—
668C2×#95C2312yes—
669C2×#95C2312yes—
670C25—24no—
671C25—24no—
672C25—24no—
673C25—44no—
674C25—82no—
675C25C2411yescharacteristic
676C25C2412yes—
677C25C2412yes—
678C25C2411yescharacteristic
679C25C2411yescharacteristic
680C25C2411yescharacteristic
681C25C2411yescharacteristic
682C22×Q8—24no—
683C22×Q8—82no—
684C22×Q8C2412yes—
685C22×Q8C2414yes—
686C22×Q8C2412yes—
687C22×D4—24no—
688C22×D4—24no—
689C22×D4—24no—
690C22×D4—24no—
691C22×D4—24no—
692C22×D4—24no—
693C22×D4—28no—
694C22×D4—24no—
695C22×D4—44no—
696C22×D4—44no—
697C22×D4—44no—
698C22×D4—82no—
699C22×D4—82no—
700C22×D4—82no—
701C22×D4C2412yes—
702C22×D4C2412yes—
703C22×D4C2412yes—
704C22×D4C2412yes—
705C22×D4C2414yes—
706C22×D4C2412yes—
707C22×D4C2414yes—
708C22×D4C2414yes—
709C22×D4C2412yes—
710C22×D4C2414yes—
711C23×C4—24no—
712C23×C4—24no—
713C23×C4—24no—
714C23×C4—44no—
715C23×C4—44no—
716C23×C4—82no—
717C23×C4—82no—
718C23×C4#4118yes—
719C23×C4C2412yes—
720C23×C4C2411yescharacteristic
721C23×C4C2411yescharacteristic
722C23×C4C2411yescharacteristic
723C23×C4C2412yes—
724C23×C4C2411yescharacteristic
725C23×C4C2412yes—
726C23×C4C2411yescharacteristic
727C23×C4C2411yescharacteristic
728C23×C4C2412yes—
729C23×C4C2411yescharacteristic
730C23×C4C2411yescharacteristic
731C23×C4C2412yes—
732C23×C4C2412yes—
733C23×C4C2412yes—
734C23×C4C2412yes—
735C23×C4C2412yes—
736C23×C4C2414yes—
737C23×C4C2414yes—
738C23×C4C2414yes—
739C23×C4C2414yes—
740C23×C4C2411yescharacteristic
741C23×C4C2412yes—
742C23×C4C2411yescharacteristic
743C23×C4C2411yescharacteristic
744C23×C4C2411yescharacteristic
745C23×C4C2411yescharacteristic
746C23×C4C2411yescharacteristic
747#124—48no—
748#124—84no—
749#124—84no—
750#123—28no—
751#123—216no—
752#123—28no—
753#123—48no—
754#123—44no—
755#123—44no—
756#123—48no—
757#123—48no—
758#123—84no—
759#123—84no—
760C22⋊Q8—28no—
761C22⋊Q8—28no—
762C22⋊Q8—28no—
763C22⋊Q8—28no—
764C22⋊Q8—216no—
765C22⋊Q8—216no—
766C22⋊Q8—216no—
767#121—28no—
768#121—28no—
769#121—28no—
770#121—28no—
771#120—28no—
772#120—216no—
773#120—28no—
774#120—44no—
775#120—48no—
776#120—44no—
777C4×Q8—84no—
778C4×Q8—84no—
779C4×D4—48no—
780C4×D4—48no—
781C4×D4—48no—
782C4×D4—48no—
783C4×D4—48no—
784C4×D4—84no—
785C4×D4—84no—
786#117—48no—
787#117—48no—
788#117—44no—
789#117—44no—
790C2×C4⋊C4—24no—
791C2×C4⋊C4—24no—
792C2×C4⋊C4—24no—
793C2×C4⋊C4—24no—
794C2×C4⋊C4—28no—
795C2×C4⋊C4—44no—
796C2×C4⋊C4—44no—
797C2×C4⋊C4—82no—
798C2×C4⋊C4C2412yes—
799C2×C4⋊C4C2412yes—
800C2×C4⋊C4C2412yes—
801C2×C4⋊C4C2412yes—
802C2×C4⋊C4C2412yes—
803C2×C4⋊C4C2412yes—
804C2×C4⋊C4C2412yes—
805C2×C4⋊C4C2412yes—
806C2×C4⋊C4C2414yes—
807C2×C4⋊C4C2414yes—
808C2×C4⋊C4C2414yes—
809C2×C4⋊C4C2414yes—
810C2×C4⋊C4C2414yes—
811C2×C4⋊C4C2414yes—
812C2×C4⋊C4C2414yes—
813C2×C4⋊C4C2414yes—
814C2×C4⋊C4C2414yes—
815C2×C4⋊C4C2414yes—
816C2×C4⋊C4C2414yes—
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×C22⋊C4—24no—
830C2×C22⋊C4—24no—
831C2×C22⋊C4—24no—
832C2×C22⋊C4—24no—
833C2×C22⋊C4—24no—
834C2×C22⋊C4—24no—
835C2×C22⋊C4—24no—
836C2×C22⋊C4—24no—
837C2×C22⋊C4—24no—
838C2×C22⋊C4—28no—
839C2×C22⋊C4—28no—
840C2×C22⋊C4—28no—
841C2×C22⋊C4—28no—
842C2×C22⋊C4—24no—
843C2×C22⋊C4—24no—
844C2×C22⋊C4—24no—
845C2×C22⋊C4—24no—
846C2×C22⋊C4—28no—
847C2×C22⋊C4—24no—
848C2×C22⋊C4—24no—
849C2×C22⋊C4—28no—
850C2×C22⋊C4—48no—
851C2×C22⋊C4—48no—
852C2×C22⋊C4—44no—
853C2×C22⋊C4—44no—
854C2×C22⋊C4—44no—
855C2×C22⋊C4—44no—
856C2×C22⋊C4—44no—
857C2×C22⋊C4—44no—
858C2×C22⋊C4—44no—
859C2×C22⋊C4—44no—
860C2×C22⋊C4—82no—
861C2×C22⋊C4—82no—
862C2×C22⋊C4—82no—
863C2×C22⋊C4#4118yes—
864C2×C22⋊C4C2412yes—
865C2×C22⋊C4C2412yes—
866C2×C22⋊C4C2412yes—
867C2×C22⋊C4C2412yes—
868C2×C22⋊C4C2412yes—
869C2×C22⋊C4C2412yes—
870C2×C22⋊C4C2412yes—
871C2×C22⋊C4C2412yes—
872C2×C22⋊C4C2412yes—
873C2×C22⋊C4C2412yes—
874C2×C22⋊C4C2412yes—
875C2×C22⋊C4C2412yes—
876C2×C22⋊C4C2412yes—
877C2×C22⋊C4C2412yes—
878C2×C22⋊C4C2412yes—
879C2×C22⋊C4C2412yes—
880C2×C22⋊C4C2414yes—
881C2×C22⋊C4C2412yes—
882C2×C22⋊C4C2412yes—
883C2×C22⋊C4C2414yes—
884C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
900C2×C22⋊C4C2414yes—
901C2×C22⋊C4C2414yes—
902C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
931C2×C22⋊C4C2412yes—
932C2×C42—44no—
933C2×C42—82no—
934C2×C42—82no—
935C2×C42—82no—
936C2×C42C2414yes—
937C2×C42C2414yes—
938C2×C42C2414yes—
939C2×C42C2414yes—
940C2×C42C2414yes—
941C2×C42C2414yes—
942C2×C42C2414yes—
943C2×C42C2414yes—
944C2×C42C2414yes—
945C2×C42C2414yes—
946C2×C42C2414yes—
947C2×C42C2414yes—
948C2×C42C2414yes—
949C2×C42C2414yes—
950#95C2414yes—
951#95C2414yes—
952#95C2414yes—
953#95C2414yes—
954#95C2414yes—
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—
996C24—22no—
997C24—24no—
998C24—22no—
999C24—22no—
1000C24—22no—
1001C24—24no—
1002C24—24no—
1003C24—24no—
1004C24—24no—
1005C24—24no—
1006C24—24no—
1007C24—24no—
1008C24—24no—
1009C24—22no—
1010C24—22no—
1011C24—22no—
1012C24—22no—
1013C24—22no—
1014C24—22no—
1015C24—22no—
1016C24—22no—
1017C24—42no—
1018C24—42no—
1019C24—42no—
1020C24—42no—
1021C24—42no—
1022C24—42no—
1023C24—42no—
1024C24—42no—
1025C24—42no—
1026C24—42no—
1027C24—42no—
1028C24—42no—
1029C24—42no—
1030C24—42no—
1031C24—42no—
1032C24—416no—
1033C24—416no—
1034C24—816no—
1035C24—816no—
1036C24—88no—
1037C24C2×#4114yes—
1038C24C2×#4114yes—
1039C24H(5,𝔽2)14yes—
1040C24C2512yes—
1041C24C2512yes—
1042C24C2512yes—
1043C24C2512yes—
1044C24C2511yescharacteristic
1045C24C2511yescharacteristic
1046C24C2511yescharacteristic
1047C2×Q8—24no—
1048C2×Q8—28no—
1049C2×Q8—24no—
1050C2×Q8—44no—
1051C2×Q8—44no—
1052C2×Q8—44no—
1053C2×Q8—44no—
1054C2×Q8—88no—
1055C2×D4—24no—
1056C2×D4—24no—
1057C2×D4—24no—
1058C2×D4—24no—
1059C2×D4—24no—
1060C2×D4—24no—
1061C2×D4—24no—
1062C2×D4—24no—
1063C2×D4—24no—
1064C2×D4—24no—
1065C2×D4—24no—
1066C2×D4—24no—
1067C2×D4—28no—
1068C2×D4—28no—
1069C2×D4—28no—
1070C2×D4—24no—
1071C2×D4—28no—
1072C2×D4—24no—
1073C2×D4—44no—
1074C2×D4—44no—
1075C2×D4—44no—
1076C2×D4—44no—
1077C2×D4—44no—
1078C2×D4—44no—
1079C2×D4—44no—
1080C2×D4—44no—
1081C2×D4—44no—
1082C2×D4—44no—
1083C2×D4—416no—
1084C2×D4—416no—
1085C2×D4—816no—
1086C2×D4—88no—
1087C2×D4—816no—
1088C22×C4—24no—
1089C22×C4—22no—
1090C22×C4—22no—
1091C22×C4—24no—
1092C22×C4—22no—
1093C22×C4—24no—
1094C22×C4—22no—
1095C22×C4—22no—
1096C22×C4—22no—
1097C22×C4—22no—
1098C22×C4—24no—
1099C22×C4—22no—
1100C22×C4—22no—
1101C22×C4—24no—
1102C22×C4—24no—
1103C22×C4—22no—
1104C22×C4—24no—
1105C22×C4—22no—
1106C22×C4—22no—
1107C22×C4—24no—
1108C22×C4—22no—
1109C22×C4—22no—
1110C22×C4—22no—
1111C22×C4—22no—
1112C22×C4—24no—
1113C22×C4—24no—
1114C22×C4—24no—
1115C22×C4—24no—
1116C22×C4—24no—
1117C22×C4—28no—
1118C22×C4—42no—
1119C22×C4—42no—
1120C22×C4—42no—
1121C22×C4—42no—
1122C22×C4—42no—
1123C22×C4—42no—
1124C22×C4—42no—
1125C22×C4—42no—
1126C22×C4—42no—
1127C22×C4—42no—
1128C22×C4—42no—
1129C22×C4—42no—
1130C22×C4—42no—
1131C22×C4—42no—
1132C22×C4—42no—
1133C22×C4—44no—
1134C22×C4—44no—
1135C22×C4—42no—
1136C22×C4—42no—
1137C22×C4—42no—
1138C22×C4—42no—
1139C22×C4—42no—
1140C22×C4—42no—
1141C22×C4—42no—
1142C22×C4—42no—
1143C22×C4—42no—
1144C22×C4—42no—
1145C22×C4—44no—
1146C22×C4—44no—
1147C22×C4—42no—
1148C22×C4—44no—
1149C22×C4—44no—
1150C22×C4—44no—
1151C22×C4—44no—
1152C22×C4—44no—
1153C22×C4—44no—
1154C22×C4—44no—
1155C22×C4—416no—
1156C22×C4—88no—
1157C22×C4—816no—
1158C22×C4C2×#4114yes—
1159C22×C4C2×#4118yes—
1160C22×C4C2×#4114yes—
1161C22×C4C2×#4114yes—
1162C22×C4C2×#4114yes—
1163C22×C4C2×#4114yes—
1164C22×C4C2×#4114yes—
1165C22×C4C2512yes—
1166C22×C4C2514yes—
1167C22×C4C2512yes—
1168C22×C4C2512yes—
1169C22×C4C2514yes—
1170C22×C4C2514yes—
1171C22×C4C2512yes—
1172C22×C4C2512yes—
1173C22×C4C2512yes—
1174C22×C4C2512yes—
1175C22×C4C2512yes—
1176C22×C4C2514yes—
1177C22×C4C2514yes—
1178C22×C4C2514yes—
1179C22×C4C2514yes—
1180C22×C4C2511yescharacteristic
1181C22×C4C2514yes—
1182C22×C4C2511yescharacteristic
1183C22×C4C2511yescharacteristic
1184C22×C4C2511yescharacteristic
1185C4⋊C4—24no—
1186C4⋊C4—24no—
1187C4⋊C4—24no—
1188C4⋊C4—24no—
1189C4⋊C4—24no—
1190C4⋊C4—24no—
1191C4⋊C4—24no—
1192C4⋊C4—24no—
1193C4⋊C4—28no—
1194C4⋊C4—28no—
1195C4⋊C4—28no—
1196C4⋊C4—28no—
1197C4⋊C4—28no—
1198C4⋊C4—44no—
1199C4⋊C4—44no—
1200C4⋊C4—44no—
1201C4⋊C4—44no—
1202C4⋊C4—44no—
1203C4⋊C4—44no—
1204C4⋊C4—44no—
1205C4⋊C4—44no—
1206C4⋊C4—44no—
1207C4⋊C4—44no—
1208C4⋊C4—44no—
1209C4⋊C4—44no—
1210C4⋊C4—44no—
1211C4⋊C4—44no—
1212C4⋊C4—44no—
1213C4⋊C4—44no—
1214C4⋊C4—44no—
1215C4⋊C4—44no—
1216C22⋊C4—24no—
1217C22⋊C4—24no—
1218C22⋊C4—24no—
1219C22⋊C4—24no—
1220C22⋊C4—24no—
1221C22⋊C4—24no—
1222C22⋊C4—24no—
1223C22⋊C4—24no—
1224C22⋊C4—24no—
1225C22⋊C4—24no—
1226C22⋊C4—24no—
1227C22⋊C4—24no—
1228C22⋊C4—24no—
1229C22⋊C4—24no—
1230C22⋊C4—24no—
1231C22⋊C4—24no—
1232C22⋊C4—24no—
1233C22⋊C4—24no—
1234C22⋊C4—28no—
1235C22⋊C4—28no—
1236C22⋊C4—28no—
1237C22⋊C4—24no—
1238C22⋊C4—24no—
1239C22⋊C4—24no—
1240C22⋊C4—24no—
1241C22⋊C4—24no—
1242C22⋊C4—24no—
1243C22⋊C4—24no—
1244C22⋊C4—24no—
1245C22⋊C4—28no—
1246C22⋊C4—28no—
1247C22⋊C4—24no—
1248C22⋊C4—24no—
1249C22⋊C4—24no—
1250C22⋊C4—24no—
1251C22⋊C4—28no—
1252C22⋊C4—28no—
1253C22⋊C4—44no—
1254C22⋊C4—44no—
1255C22⋊C4—44no—
1256C22⋊C4—44no—
1257C22⋊C4—44no—
1258C22⋊C4—44no—
1259C22⋊C4—44no—
1260C22⋊C4—44no—
1261C22⋊C4—44no—
1262C22⋊C4—44no—
1263C22⋊C4—44no—
1264C22⋊C4—44no—
1265C22⋊C4—44no—
1266C22⋊C4—44no—
1267C22⋊C4—44no—
1268C22⋊C4—44no—
1269C22⋊C4—44no—
1270C22⋊C4—44no—
1271C22⋊C4—44no—
1272C22⋊C4—44no—
1273C22⋊C4—44no—
1274C22⋊C4—44no—
1275C22⋊C4—44no—
1276C22⋊C4—44no—
1277C22⋊C4—44no—
1278C22⋊C4—44no—
1279C22⋊C4—44no—
1280C22⋊C4—44no—
1281C22⋊C4—44no—
1282C22⋊C4C2×#4118yes—
1283C22⋊C4C2×#4118yes—
1284C42—44no—
1285C42—44no—
1286C42—44no—
1287C42—44no—
1288C42—44no—
1289C42—44no—
1290C42—44no—
1291C42—44no—
1292C42—44no—
1293C42—44no—
1294C42—44no—
1295C42—44no—
1296C42—44no—
1297C42—44no—
1298C23—22no—
1299C23—22no—
1300C23—22no—
1301C23—22no—
1302C23—22no—
1303C23—22no—
1304C23—28no—
1305C23—22no—
1306C23—22no—
1307C23—22no—
1308C23—22no—
1309C23—22no—
1310C23—22no—
1311C23—22no—
1312C23—22no—
1313C23—22no—
1314C23—22no—
1315C23—22no—
1316C23—22no—
1317C23—22no—
1318C23—22no—
1319C23—22no—
1320C23—22no—
1321C23—24no—
1322C23—24no—
1323C23—22no—
1324C23—22no—
1325C23—22no—
1326C23—24no—
1327C23—24no—
1328C23—44no—
1329C23—44no—
1330C23—48no—
1331C23—48no—
1332C23—48no—
1333C23—48no—
1334C23—48no—
1335C23—48no—
1336C23—48no—
1337C23—48no—
1338C23—48no—
1339C23—48no—
1340C23—44no—
1341C23—44no—
1342C23—44no—
1343C23—44no—
1344C23—48no—
1345C23—48no—
1346C23—44no—
1347C23—44no—
1348C23—44no—
1349C23—84no—
1350C23—84no—
1351C23—84no—
1352C23—84no—
1353C23—84no—
1354C23—84no—
1355C23—84no—
1356C23—84no—
1357C23—84no—
1358C23—82no—
1359C23—82no—
1360C23—84no—
1361C23—84no—
1362C23—82no—
1363C23—82no—
1364C23—84no—
1365C23—864no—
1366C23#559116yes—
1367C23C22×#4112yes—
1368C23C22×#4112yes—
1369C23C22×#4112yes—
1370C23C22×#4112yes—
1371C23C22×#4112yes—
1372C23C22×#4112yes—
1373C23C2×H(5,𝔽2)12yes—
1374C23C2×H(5,𝔽2)12yes—
1375C23C2×H(5,𝔽2)12yes—
1376C23#58514yes—
1377C23C2611yescharacteristic
1378Q8—48no—
1379Q8—88no—
1380Q8—84no—
1381D4—416no—
1382D4—48no—
1383D4—48no—
1384D4—48no—
1385D4—48no—
1386D4—48no—
1387D4—88no—
1388D4—84no—
1389D4—88no—
1390D4—88no—
1391C2×C4—24no—
1392C2×C4—22no—
1393C2×C4—24no—
1394C2×C4—22no—
1395C2×C4—22no—
1396C2×C4—22no—
1397C2×C4—22no—
1398C2×C4—22no—
1399C2×C4—22no—
1400C2×C4—22no—
1401C2×C4—22no—
1402C2×C4—24no—
1403C2×C4—24no—
1404C2×C4—22no—
1405C2×C4—22no—
1406C2×C4—22no—
1407C2×C4—22no—
1408C2×C4—22no—
1409C2×C4—22no—
1410C2×C4—22no—
1411C2×C4—22no—
1412C2×C4—24no—
1413C2×C4—24no—
1414C2×C4—24no—
1415C2×C4—22no—
1416C2×C4—22no—
1417C2×C4—24no—
1418C2×C4—24no—
1419C2×C4—22no—
1420C2×C4—24no—
1421C2×C4—24no—
1422C2×C4—24no—
1423C2×C4—24no—
1424C2×C4—24no—
1425C2×C4—24no—
1426C2×C4—24no—
1427C2×C4—24no—
1428C2×C4—24no—
1429C2×C4—24no—
1430C2×C4—24no—
1431C2×C4—24no—
1432C2×C4—24no—
1433C2×C4—24no—
1434C2×C4—24no—
1435C2×C4—24no—
1436C2×C4—24no—
1437C2×C4—24no—
1438C2×C4—44no—
1439C2×C4—44no—
1440C2×C4—44no—
1441C2×C4—44no—
1442C2×C4—44no—
1443C2×C4—44no—
1444C2×C4—48no—
1445C2×C4—48no—
1446C2×C4—48no—
1447C2×C4—48no—
1448C2×C4—44no—
1449C2×C4—44no—
1450C2×C4—48no—
1451C2×C4—44no—
1452C2×C4—44no—
1453C2×C4—84no—
1454C2×C4—84no—
1455C2×C4—82no—
1456C2×C4—82no—
1457C2×C4—84no—
1458C2×C4—84no—
1459C2×C4—88no—
1460C2×C4—84no—
1461C2×C4—82no—
1462C2×C4—82no—
1463C2×C4—88no—
1464C2×C4—164no—
1465C2×C4—164no—
1466C2×C4C22×#4112yes—
1467C2×C4C22×#4112yes—
1468C2×C4C22×#4118yes—
1469C2×C4C22×#4112yes—
1470C2×C4C22×#4112yes—
1471C22—24no—
1472C22—24no—
1473C22—24no—
1474C22—22no—
1475C22—22no—
1476C22—22no—
1477C22—22no—
1478C22—22no—
1479C22—22no—
1480C22—24no—
1481C22—24no—
1482C22—24no—
1483C22—24no—
1484C22—24no—
1485C22—24no—
1486C22—416no—
1487C22—416no—
1488C22—42no—
1489C22—42no—
1490C22—42no—
1491C22—42no—
1492C22—44no—
1493C22—42no—
1494C22—42no—
1495C22—44no—
1496C22—42no—
1497C22—42no—
1498C22—42no—
1499C22—42no—
1500C22—42no—
1501C22—42no—
1502C22—44no—
1503C22—44no—
1504C22—42no—
1505C22—42no—
1506C22—42no—
1507C22—42no—
1508C22—42no—
1509C22—816no—
1510C22—816no—
1511C22—88no—
1512C22—164no—
1513C22—164no—
1514C22C2×#55914yes—
1515C22C2×#55914yes—
1516C22C2×#55914yes—
1517C22C23×#4111yescharacteristic
1518C22C23×#4111yescharacteristic
1519C22C22×H(5,𝔽2)11yescharacteristic
1520C22C2×#58512yes—
1521C22H(7,𝔽2)12yes—
1522C4—28no—
1523C4—22no—
1524C4—22no—
1525C4—22no—
1526C4—22no—
1527C4—44no—
1528C4—44no—
1529C4—42no—
1530C4—42no—
1531C4—42no—
1532C4—42no—
1533C4—44no—
1534C4—44no—
1535C4—44no—
1536C4—44no—
1537C4—44no—
1538C4—42no—
1539C4—42no—
1540C4—42no—
1541C4—42no—
1542C2—24no—
1543C2—24no—
1544C2—24no—
1545C2—44no—
1546C2—82no—
1547C2—82no—
1548C2—82no—
1549C2C22×#55911yescharacteristic
1550C2#6281411yescharacteristic
1551C2#6284411yescharacteristic
1552C2#6290012yes—
1553C2#6299012yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#2539C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59862C2semidirect
2. #59861C2semidirect
3. #59636C2semidirect
4. #59635C2semidirect
5. #43602C2semidirect
6. #43598C2semidirect
7. #43179C2semidirect
8. #43175C2semidirect
9. #39267C2semidirect
10. #39265C2semidirect
11. #39195C2semidirect
12. #36521C2semidirect
13. #35455C2semidirect
14. #35448C2semidirect
15. #35367C2semidirect
16. #35350C2semidirect
17. #35097C2semidirect
18. #35019C2semidirect
19. #34992C2semidirect
20. C2×#2561C2semidirect
22. #34212C2semidirect
23. #34205C2semidirect
24. #34199C2semidirect
25. #34198C2semidirect
26. C2×#2342C2semidirect
27. C4×#543C2semidirect
40. #2853C22semidirect
41. #2850C22semidirect
42. #2849C22semidirect
43. #2808C22semidirect
44. #2808C22semidirect
45. #2807C22semidirect
46. #2804C22semidirect
47. #2803C22semidirect
48. #2803C22semidirect
49. #2798C22semidirect
50. #2798C22semidirect
51. #2797C22semidirect
52. #2797C22semidirect
53. #2796C22semidirect
54. #2796C22semidirect
55. #2773C22semidirect
56. #2773C22semidirect
57. #2771C22semidirect
58. #2754C22semidirect
59. #2754C22semidirect
60. #2752C22semidirect
61. #2751C22semidirect
62. #2751C22semidirect
63. #2724C22semidirect
64. #2712C22semidirect
65. #2710C22semidirect
66. #2710C22semidirect
67. #2639C22semidirect
68. #2623C22semidirect
69. #2622C22semidirect
70. #2607C22semidirect
71. #2602C22semidirect
72. #2602C22semidirect
73. #2600C22semidirect
74. #2597C22semidirect
75. #2597C22semidirect
76. #2597C22semidirect
77. #2597C22semidirect
78. #2596C22semidirect
79. #2596C22semidirect
80. #2595C22semidirect
81. #2595C22semidirect
82. #2593C22semidirect
83. #2593C22semidirect
84. #2592C22semidirect
85. #2591C22semidirect
86. #2591C22semidirect
87. #2589C22semidirect
88. #2589C22semidirect
89. #2580C22semidirect
90. #2575C22semidirect
91. #2575C22semidirect
95. #2561C22semidirect
96. #2561C22semidirect
97. #2561C22semidirect
98. #2561C22semidirect
99. #2561C22semidirect
100. #2561C22semidirect
101. #2561C22semidirect
102. #2557C22semidirect
103. #2557C22semidirect
110. #2517C22semidirect
111. #2516C22semidirect
112. #2516C22semidirect
113. #2513C22semidirect
114. #2513C22semidirect
115. #2504C22semidirect
116. #2503C22semidirect
117. #2503C22semidirect
118. #2498C22semidirect
119. #2498C22semidirect
120. #2488C22semidirect
121. #2488C22semidirect
122. #2488C22semidirect
123. #2488C22semidirect
124. #2484C22semidirect
125. #2484C22semidirect
127. #2483C22semidirect
129. #2482C22semidirect
130. #2472C22semidirect
131. #2472C22semidirect
132. #2472C22semidirect
133. #2472C22semidirect
134. #2459C22semidirect
135. #2459C22semidirect
136. #2458C22semidirect
137. #2458C22semidirect
138. #2458C22semidirect
139. #2458C22semidirect
140. #2455C22semidirect
141. #2448C22semidirect
142. #2447C22semidirect
143. #2436C22semidirect
145. #2435C22semidirect
146. #2419C22semidirect
147. #2419C22semidirect
148. #2419C22semidirect
149. #2419C22semidirect
150. #2418C22semidirect
151. #2418C22semidirect
152. #2418C22semidirect
153. #2418C22semidirect
154. #2412C22semidirect
155. #2412C22semidirect
159. C2×#397C22semidirect
160. C2×#393C22semidirect
162. #2374C22semidirect
163. #2374C22semidirect
164. #2368C22semidirect
165. #2367C22semidirect
166. #2364C22semidirect
167. #2361C22semidirect
168. #2360C22semidirect
169. #2359C22semidirect
170. #2359C22semidirect
171. #2358C22semidirect
172. #2358C22semidirect
173. #2357C22semidirect
174. #2345C22semidirect
175. #2345C22semidirect
176. #2345C22semidirect
177. #2344C22semidirect
178. #2344C22semidirect
182. #2342C22semidirect
183. #2342C22semidirect
184. #2342C22semidirect
185. #2342C22semidirect
186. #2342C22semidirect
187. Q8×C22⋊C4C22semidirect
189. D4×C22⋊C4C22semidirect
190. #2329C22semidirect
191. #2329C22semidirect
192. #2329C22semidirect
193. #2329C22semidirect
194. #2325C22semidirect
195. #2322C22semidirect
196. #2321C22semidirect
208. C4×C22⋊Q8C22semidirect
209. C4×C22⋊Q8C22semidirect
210. C4×C22⋊Q8C22semidirect
211. C4×C22⋊Q8C22semidirect
212. C4×#123C22semidirect
213. C4×#121C22semidirect
214. C4×#120C22semidirect
217. C2×#388C22semidirect
218. C2×#388C22semidirect
219. C2×#388C22semidirect
220. C2×#388C22semidirect
221. C2×#385C22semidirect
234. C2×C4×C22⋊C4C22semidirect
248. C2×#124C23semidirect
284. C2×C4×Q8C23semidirect
285. C2×C4×Q8C23semidirect
292. C2×C4×D4C23semidirect
347. #400C23semidirect
348. #400C23semidirect
349. #400C23semidirect
350. #400C23semidirect
351. #400C23semidirect
352. #400C23semidirect
353. #400C23semidirect
354. #400C23semidirect
355. #400C23semidirect
356. #400C23semidirect
363. #399C23semidirect
364. #399C23semidirect
365. #398C23semidirect
366. #398C23semidirect
367. #398C23semidirect
368. #398C23semidirect
381. #397C23semidirect
382. #397C23semidirect
383. #397C23semidirect
384. #397C23semidirect
385. #397C23semidirect
386. #397C23semidirect
387. #397C23semidirect
388. #397C23semidirect
389. #397C23semidirect
390. #397C23semidirect
403. #394C23semidirect
404. #394C23semidirect
411. #393C23semidirect
412. #393C23semidirect
413. #393C23semidirect
414. #393C23semidirect
419. #391C23semidirect
420. #391C23semidirect
421. #391C23semidirect
422. #391C23semidirect
423. #391C23semidirect
424. #391C23semidirect
425. #391C23semidirect
426. #391C23semidirect
427. #391C23semidirect
440. #390C23semidirect
441. #390C23semidirect
442. #389C23semidirect
443. #389C23semidirect
444. #389C23semidirect
445. #389C23semidirect
446. #389C23semidirect
447. #389C23semidirect
448. #389C23semidirect
449. #389C23semidirect
450. #389C23semidirect
479. #388C23semidirect
480. #388C23semidirect
481. #388C23semidirect
482. #388C23semidirect
483. #388C23semidirect
484. #388C23semidirect
485. #388C23semidirect
486. #388C23semidirect
487. #388C23semidirect
488. #388C23semidirect
489. #388C23semidirect
490. #388C23semidirect
491. #388C23semidirect
492. #388C23semidirect
493. #388C23semidirect
494. #388C23semidirect
495. #388C23semidirect
496. #388C23semidirect
497. #388C23semidirect
498. #388C23semidirect
499. #387C23semidirect
500. #387C23semidirect
501. #387C23semidirect
502. #387C23semidirect
503. #387C23semidirect
504. #387C23semidirect
505. #387C23semidirect
506. #387C23semidirect
507. #387C23semidirect
508. #387C23semidirect
509. #387C23semidirect
510. #387C23semidirect
511. #387C23semidirect
512. #387C23semidirect
513. #387C23semidirect
514. #387C23semidirect
515. #387C23semidirect
516. #387C23semidirect
517. #387C23semidirect
518. #387C23semidirect
519. #387C23semidirect
520. #387C23semidirect
521. #387C23semidirect
522. #387C23semidirect
523. #387C23semidirect
524. #387C23semidirect
549. #386C23semidirect
550. #386C23semidirect
569. #385C23semidirect
570. #385C23semidirect
571. #385C23semidirect
572. #385C23semidirect
573. #385C23semidirect
574. #385C23semidirect
575. #382C23semidirect
576. #382C23semidirect
577. #382C23semidirect
594. #381C23semidirect
595. #381C23semidirect
621. C4×C4⋊C4C23semidirect
622. C4×C4⋊C4C23semidirect
623. C4×C4⋊C4C23semidirect
624. C4×C4⋊C4C23semidirect
625. C4×C4⋊C4C23semidirect
626. C4×C4⋊C4C23semidirect
627. C4×C4⋊C4C23semidirect
628. C4×C4⋊C4C23semidirect
629. C4×C4⋊C4C23semidirect
656. C4×C22⋊C4C23semidirect
657. C4×C22⋊C4C23semidirect
658. C4×C22⋊C4C23semidirect
659. C4×C22⋊C4C23semidirect

Maximal subgroups

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

subgroupindex
#598622
#598612
#596362
#596352
#436022
#435982
#431792
#431752
#392672
#392652
#391952
#365212
#354552
#354482
#353672
#353502
#350972
#350192
#349922
C2×#25612
C2×#25392
#342122
#342052
#341992
#341982
C2×#23422
C4×#5432