Finite Group Databasebeta

← #7647058

Subgroups — #7647058

Order 512.

6726 conjugacy classes of subgroups.

The subgroup lattice has 1649 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3491C211yesmaximal, characteristic, complemented
2C2×#3455C211yesmaximal, characteristic, complemented
3#42392C212yesmaximal, complemented
4#42390C212yesmaximal, complemented
5#42316C212yesmaximal, complemented
6#42314C212yesmaximal, complemented
7#42157C212yesmaximal, complemented
8#42155C212yesmaximal, complemented
9#41960C212yesmaximal, complemented
10#41958C212yesmaximal, complemented
11#38387C214yesmaximal, complemented
12#38386C214yesmaximal, complemented
13#38383C214yesmaximal, complemented
14#38382C214yesmaximal, complemented
15#37555C211yesmaximal, characteristic, complemented
16#37554C211yesmaximal, characteristic, complemented
17#37452C212yesmaximal, complemented
18#37130C214yesmaximal, complemented
19#36740C212yesmaximal, complemented
20#36739C212yesmaximal, complemented
21#35365C214yesmaximal, complemented
22#35326C211yesmaximal, characteristic, complemented
23#35303C211yesmaximal, characteristic, complemented
24#35130C212yesmaximal, complemented
25#35064C212yesmaximal, complemented
26#35006C212yesmaximal, complemented
27#35004C212yesmaximal, complemented
28#34876C212yesmaximal, complemented
29C2×#2346C211yesmaximal, characteristic, complemented
30#3491—216no—
31C2×#552C2212yes—
32C2×#552C2212yes—
33C2×#552C2212yes—
34C2×#552C2212yes—
35C2×#551C2212yes—
36C2×#551C2212yes—
37C2×#551C2212yes—
38C2×#551C2212yes—
39C2×#543C2211yescharacteristic
40#3455—216no—
41C2×#542C2212yescomplemented
42C2×#542C2212yescomplemented
43C2×#541C2212yescomplemented
44C2×#540C2212yescomplemented
45C2×#539C2212yes—
46C2×#539C2211yescharacteristic
47C2×#539C2211yescharacteristic
48C2×#539C2212yescomplemented
49C2×#539C2212yescomplemented
50C2×#538C2212yes—
51C2×#538C2212yes—
52C2×#534C2211yescharacteristic
53C2×#533C2211yescharacteristic, complemented
54C2×#532C2211yescharacteristic, complemented
55C2×#529C2212yes—
56C2×#529C2211yescharacteristic
57C2×#529C2211yescharacteristic
58C2×#529C2214yescomplemented
59C2×#529C2214yescomplemented
60C2×#525C2212yes—
61C22×#123C2212yes—
62C2×#518C2212yes—
63C2×C4×#41C2212yescomplemented
64C22×#117C2211yescharacteristic
65#2857C2212yescomplemented
66#2856C2212yes—
67#2854C2214yescomplemented
68#2854C2214yescomplemented
69#2851C2214yescomplemented
70#2850C2212yes—
71#2850C2214yescomplemented
72#2850C2212yescomplemented
73#2822C2212yescomplemented
74#2820C2212yescomplemented
75#2820C2212yescomplemented
76#2819C2212yescomplemented
77#2814C2212yes—
78#2814C2212yes—
79#2813C2212yes—
80#2813C2212yes—
81#2727C2214yescomplemented
82#2726C2214yescomplemented
83#2725C2214yescomplemented
84#2725C2214yescomplemented
85#2718C2214yes—
86#2710C2214yes—
87#2707C2214yescomplemented
88#2707C2214yescomplemented
89#2706C2214yes—
90#2705C2214yescomplemented
91#2705C2214yescomplemented
92#2704C2214yescomplemented
93#2704C2214yescomplemented
94#2703C2214yes—
95#2702C2214yescomplemented
96#2702C2214yescomplemented
97#2700C2214yescomplemented
98#2698C2214yescomplemented
99#2689C2214yescomplemented
100#2687C2214yescomplemented
101#2685C2214yes—
102#2683C2214yescomplemented
103#2682C2214yescomplemented
104#2681C2214yescomplemented
105#2681C2214yescomplemented
106#2681C2214yescomplemented
107#2680C2214yescomplemented
108#2678C2214yes—
109#2674C2214yescomplemented
110#2672C2214yescomplemented
111#2670C2214yes—
112#2669C2214yes—
113#2663C2212yes—
114#2663C2212yes—
115#2661C2212yes—
116#2661C2212yes—
117#2660C2211yescharacteristic, complemented
118#2660C2211yescharacteristic, complemented
119#2659C2212yescomplemented
120#2658C2211yescharacteristic, complemented
121#2657C2211yescharacteristic, complemented
122#2656C2212yes—
123#2642C2211yescharacteristic, complemented
124#2641C2211yescharacteristic, complemented
125#2640C2211yescharacteristic, complemented
126#2640C2211yescharacteristic, complemented
127#2639C2212yes—
128#2639C2212yescomplemented
129#2637C2212yescomplemented
130#2637C2212yescomplemented
131#2637C2214yescomplemented
132#2636C2212yescomplemented
133#2636C2212yescomplemented
134#2636C2214yescomplemented
135#2630C2214yes—
136#2630C2214yes—
137#2628C2212yescomplemented
138#2628C2212yescomplemented
139#2627C2212yescomplemented
140#2626C2212yescomplemented
141#2621C2212yescomplemented
142#2619C2212yescomplemented
143#2618C2214yescomplemented
144#2618C2214yescomplemented
145#2618C2212yescomplemented
146#2617C2212yescomplemented
147#2611C2214yescomplemented
148#2611C2212yescomplemented
149#2611C2212yescomplemented
150#2610C2214yescomplemented
151#2610C2212yescomplemented
152#2610C2212yescomplemented
153#2609C2214yescomplemented
154#2609C2214yescomplemented
155#2604C2212yescomplemented
156#2604C2212yescomplemented
157#2604C2214yescomplemented
158#2603C2212yescomplemented
159#2603C2212yescomplemented
160#2603C2214yescomplemented
161#2602C2214yes—
162#2602C2214yes—
163#2591C2212yescomplemented
164#2583C2212yescomplemented
165#2581C2212yescomplemented
166#2581C2212yescomplemented
167#2580C2212yescomplemented
168#2580C2212yescomplemented
169#2579C2214yescomplemented
170#2564C2214yescomplemented
171#2564C2214yescomplemented
172#2561C2212yescomplemented
173#2560C2214yescomplemented
174#2560C2214yescomplemented
175#2558C2214yescomplemented
176#2558C2214yescomplemented
177#2556C2214yescomplemented
178#2556C2214yescomplemented
179#2554C2214yescomplemented
180#2554C2214yescomplemented
181#2543C2214yes—
182#2543C2214yescomplemented
183#2539C2212yescomplemented
184#2536C2212yescomplemented
185#2536C2212yescomplemented
186#2535C2212yescomplemented
187#2535C2212yescomplemented
188#2534C2214yescomplemented
189#2519C2214yescomplemented
190#2519C2214yescomplemented
191#2512C2214yescomplemented
192#2506C2214yescomplemented
193#2498C2212yescomplemented
194#2498C2212yescomplemented
195#2498C2212yescomplemented
196#2498C2212yescomplemented
197#2480C2214yescomplemented
198#2478C2214yescomplemented
199#2476C2214yescomplemented
200#2474C2214yescomplemented
201#2472C2214yescomplemented
202#2470C2214yescomplemented
203#2468C2214yes—
204#2466C2214yes—
205#2464C2214yes—
206#2461C2214yes—
207#2461C2214yescomplemented
208#2461C2214yescomplemented
209#2459C2214yes—
210#2457C2214yes—
211#2456C2214yes—
212#2455C2214yes—
213#2452C2214yescomplemented
214#2445C2214yescomplemented
215#2430C2212yescomplemented
216#2430C2212yescomplemented
217#2430C2212yescomplemented
218#2430C2212yescomplemented
219#2424C2214yescomplemented
220#2418C2214yescomplemented
221#2417C2214yescomplemented
222#2417C2214yescomplemented
223#2416C2214yes—
224#2416C2214yescomplemented
225#2412C2214yes—
226#2412C2214yes—
227#2410C2214yes—
228#2410C2214yes—
229#2399C2212yescomplemented
230#2398C2212yescomplemented
231#2398C2212yescomplemented
232#2397C2212yescomplemented
233#2346C2212yescomplemented
234#2346C2212yescomplemented
235#2346C2212yescomplemented
236#2346C2212yescomplemented
237#2346C2214yescomplemented
238#2346C2214yescomplemented
239#2328C2212yescomplemented
240#2327C2212yescomplemented
241#2326C2212yescomplemented
242#2326C2212yescomplemented
243#2325C2214yescomplemented
244#2325C2214yescomplemented
245#2322C2214yescomplemented
246#2321C2214yescomplemented
247C4×#121C2214yescomplemented
248C4×#121C2214yescomplemented
249C2×#389C2212yescomplemented
250#2290C2214yescomplemented
251#2290C2214yescomplemented
252C2×#388C2212yes—
253C2×#388C2212yes—
254C2×#382C2211yescharacteristic, complemented
255C2×#382C2211yescharacteristic, complemented
256C2×#380C2211yescharacteristic
257C2×C4×C4⋊C4C2212yescomplemented
258C2×C4×C22⋊C4C2211yescharacteristic
259C2×#376C2211yescharacteristic, complemented
260C2×#376C2211yescharacteristic, complemented
261C22×#41C2312yes—
262C23×D4C2312yes—
263C24×C4C2311yescharacteristic
264#552—216no—
265#552—216no—
266#552—216no—
267#552—216no—
268#551—216no—
269#551—216no—
270#551—216no—
271#551—216no—
272#543—28no—
273#542—216no—
274#542—216no—
275#541—216no—
276#540—216no—
277#539—216no—
278#539—28no—
279#539—28no—
280#539—216no—
281#539—216no—
282#538—216no—
283#538—216no—
284#534—28no—
285#533—28no—
286#532—28no—
287C2×C4⋊Q8C2311yescharacteristic
288C2×C4⋊Q8C2311yescharacteristic
289C2×C4⋊Q8C2311yescharacteristic
290C2×C4⋊Q8C2312yes—
291C2×#127C2311yescharacteristic
292C2×#127C2312yes—
293#529—232no—
294#529—232no—
295#529—216no—
296#529—28no—
297#529—28no—
298C2×#126C2312yes—
299C2×#126C2314yes—
300C2×#126C2312yes—
301C2×#126C2312yes—
302C2×#126C2312yes—
303C2×#126C2312yes—
304C2×#126C2314yes—
305C2×#126C2314yes—
306C2×#126C2314yes—
307C2×#126C2312yes—
308C2×#126C2312yes—
309C2×#126C2312yes—
310C2×#125C2311yescharacteristic
311C2×#125C2312yes—
312C2×#125C2311yescharacteristic
313C2×#125C2312yes—
314C2×#125C2314yes—
315C2×#125C2314yes—
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#124C2311yescharacteristic
321C2×#124C2312yes—
322C2×#124C2311yescharacteristic
323C2×#124C2312yes—
324C2×#124C2314yes—
325C2×#124C2314yes—
326C2×#124C2312yes—
327C2×#124C2312yes—
328#525—216no—
329C2×#123—216no—
330C2×#123C2312yes—
331C2×#123C2312yes—
332C2×#123C2314yes—
333C2×#123C2312yes—
334C2×#123C2312yes—
335C2×#123C2312yes—
336C2×#123C2312yes—
337C2×#123C2312yes—
338C2×#123C2312yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×#123C2312yes—
344C2×#123C2312yes—
345C2×#123C2312yes—
346C2×#123C2312yes—
347C2×#123C2312yes—
348C2×#123C2312yes—
349C2×#123C2314yes—
350C2×#123C2314yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2314yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2311yescharacteristic
358C2×C22⋊Q8C2311yescharacteristic
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2314yes—
361C2×C22⋊Q8C2312yes—
362C2×C22⋊Q8C2312yes—
363C2×C22⋊Q8C2312yes—
364C2×C22⋊Q8C2312yes—
365C2×C22⋊Q8C2312yes—
366C2×C22⋊Q8C2312yes—
367C2×C22⋊Q8C2312yes—
368C2×C22⋊Q8C2314yes—
369C2×C22⋊Q8C2314yes—
370C2×#121C2312yes—
371C2×#121C2311yescharacteristic
372C2×#121C2312yes—
373C2×#121C2311yescharacteristic
374C2×#121C2312yes—
375C2×#121C2314yes—
376C2×#121C2312yes—
377C2×#121C2314yes—
378C2×#121C2312yes—
379C2×#121C2314yes—
380C2×#121C2314yes—
381C2×#121C2314yes—
382C2×#121C2314yes—
383C2×#121C2314yes—
384C2×#121C2314yes—
385C2×#120C2314yes—
386C2×#120C2312yes—
387C2×#120C2312yes—
388C2×#120C2314yes—
389C2×#120C2314yes—
390#518—216no—
391C4×#41—216no—
392C2×C4×Q8C2311yescharacteristic
393C2×C4×Q8C2312yes—
394C2×C4×Q8C2311yescharacteristic
395C2×C4×Q8C2312yes—
396C2×C4×Q8C2312yes—
397C2×C4×Q8C2312yes—
398C2×C4×Q8C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2314yes—
401C2×C4×D4C2314yes—
402C2×C4×D4C2314yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2314yes—
406C2×C4×D4C2312yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2311yescharacteristic
409C2×C4×D4C2312yes—
410C2×C4×D4C2311yescharacteristic
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2314yes—
419C2×C4×D4C2314yes—
420C2×#117D4116yescomplemented
421C2×#117C2314yes—
422C2×#117C2312yes—
423C2×#117C2312yes—
424C2×#117C2312yes—
425C2×#117C2312yes—
426C2×#117C2312yes—
427C2×#117C2312yes—
428C2×#117C2312yes—
429C2×#117C2312yes—
430C2×#117C2312yes—
431C2×#117C2312yes—
432C2×#117C2312yes—
433C22×C4⋊C4C2312yes—
434C22×C4⋊C4C2312yes—
435C22×C4⋊C4C2312yes—
436C22×C4⋊C4C2312yes—
437C22×C4⋊C4C2312yes—
438C22×C4⋊C4C2311yescharacteristic
439C22×C4⋊C4C2311yescharacteristic
440C22×C22⋊C4C2312yes—
441C22×C22⋊C4C2312yes—
442C22×C22⋊C4C2312yes—
443C22×C22⋊C4C2312yes—
444C22×C22⋊C4C2312yes—
445C22×C22⋊C4C2312yes—
446C22×C22⋊C4C2312yes—
447C22×C22⋊C4C2311yescharacteristic
448C22×C22⋊C4C2311yescharacteristic
449C22×C42C2314yes—
450C22×C42C2312yes—
451C22×C42C2312yes—
452C22×C42C2312yes—
453C22×C42C2311yescharacteristic
454C22×C42C2311yescharacteristic
455#400C2314yes—
456#400C2314yes—
457#400C2312yes—
458#400C2314yes—
459#400C2312yes—
460#400C2312yes—
461#400C2312yes—
462#400C2314yes—
463#399C2314yes—
464#399C2314yes—
465#399C2312yes—
466#399C2314yes—
467#399C2312yes—
468#399C2312yes—
469#399C2312yes—
470#399C2314yes—
471#398C2314yes—
472#398C2314yes—
473#398C2312yes—
474#398C2312yes—
475#398C2314yes—
476#398C2314yes—
477#398C2314yes—
478#398C2314yes—
479#398C2312yes—
480#398C2314yes—
481#398C2314yes—
482#398C2314yes—
483#398C2312yes—
484#398C2314yes—
485#398C2314yes—
486#398C2314yes—
487#397C2314yes—
488#397C2314yes—
489#397C2312yes—
490#397C2312yes—
491#397C2312yes—
492#397C2314yes—
493#397C2314yes—
494#397C2314yes—
495#397C2312yes—
496#397C2314yes—
497#397C2314yes—
498#397C2314yes—
499#396C2314yes—
500#396C2314yes—
501#396C2314yes—
502#396C2314yes—
503#396C2314yes—
504#396C2314yes—
505#396C2314yes—
506#396C2314yes—
507#396C2314yes—
508#396C2314yes—
509#396C2314yes—
510#396C2314yes—
511#396C2314yes—
512#396C2314yes—
513#396C2314yes—
514#396C2314yes—
515#395C2314yes—
516#395C2314yes—
517#395C2312yes—
518#395C2314yes—
519#395C2312yes—
520#395C2312yes—
521#395C2312yes—
522#395C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2312yes—
528#394C2312yes—
529#394C2314yes—
530#394C2312yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2312yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2314yes—
544#394C2314yes—
545#394C2314yes—
546#394C2314yes—
547#393C2314yes—
548#393C2314yes—
549#393C2312yes—
550#393C2312yes—
551#393C2312yes—
552#393C2314yes—
553#393C2314yes—
554#393C2312yes—
555#392C2312yes—
556#392C2312yes—
557#392C2314yes—
558#392C2314yes—
559#392C2314yes—
560#392C2312yes—
561#392C2314yes—
562#392C2312yes—
563#392C2314yes—
564#392C2314yes—
565#392C2314yes—
566#392C2314yes—
567#391C2312yes—
568#391C2312yes—
569#391C2314yes—
570#391C2314yes—
571#391C2312yes—
572#391C2312yes—
573#390C2314yes—
574#390C2314yes—
575#390C2314yes—
576#390C2314yes—
577#390C2314yes—
578#390C2312yes—
579#390C2312yes—
580#390C2312yes—
581#390C2312yes—
582#390C2314yes—
583#390C2314yes—
584#390C2314yes—
585#390C2314yes—
586#390C2314yes—
587#389C2314yes—
588#389C2314yes—
589#389C2314yes—
590#389C2314yes—
591#389C2314yes—
592#389C2314yes—
593#389C2314yes—
594#389C2314yes—
595#389C2314yes—
596#389C2314yes—
597#389C2314yes—
598#389C2314yes—
599#389C2314yes—
600#389C2314yes—
601#389C2314yes—
602#389C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#384C2312yes—
692#384C2312yes—
693#382C2312yes—
694#382C2312yes—
695#382C2312yes—
696#382C2312yes—
697#382C2312yes—
698#382C2312yes—
699#382C2312yes—
700#382C2312yes—
701#382C2314yes—
702#381C2314yes—
703#381C2314yes—
704#380C2314yes—
705#380C2314yes—
706#380C2314yes—
707#380C2314yes—
708#380C2314yes—
709#380C2314yes—
710#380C2314yes—
711#380C2312yes—
712#380C2312yes—
713#380C2314yes—
714#380C2314yes—
715#379C2314yes—
716#379C2314yes—
717C4×C4⋊C4C2314yes—
718C4×C4⋊C4C2314yes—
719C4×C4⋊C4C2314yes—
720C4×C4⋊C4C2314yes—
721C4×C4⋊C4C2314yes—
722C4×C4⋊C4C2314yes—
723C4×C22⋊C4C2314yes—
724C4×C22⋊C4C2314yes—
725C4×C22⋊C4C2312yes—
726C4×C22⋊C4C2314yes—
727C4×C22⋊C4C2312yes—
728C4×C22⋊C4C2314yes—
729C4×C22⋊C4C2314yes—
730#376C2312yes—
731#376C2312yes—
732#376C2312yes—
733#376C2312yes—
734#376C2311yescharacteristic
735#376C2311yescharacteristic
736#376C2314yes—
737#376C2311yescharacteristic
738#376C2311yescharacteristic
739C2×#95C2312yes—
740C2×#95C2312yes—
741C2×#95C2312yes—
742C2×#95C2312yes—
743C2×#95C2311yescharacteristic
744C2×#95C2311yescharacteristic
745C2×#95C2311yescharacteristic
746C2×#95C2311yescharacteristic
747C25C2411yescharacteristic
748C25C2412yes—
749C2×#41—28no—
750C2×#41—48no—
751C22×Q8C2412yes—
752C22×Q8C2412yes—
753C22×Q8C2411yescharacteristic
754C22×Q8C2412yes—
755C22×Q8C2411yescharacteristic
756C22×Q8C2412yes—
757C22×D4—28no—
758C22×D4—48no—
759C22×D4C2414yes—
760C22×D4C2412yes—
761C22×D4C2412yes—
762C22×D4C2412yes—
763C22×D4C2412yes—
764C22×D4C2412yes—
765C22×D4C2414yes—
766C22×D4C2414yes—
767C22×D4C2412yes—
768C22×D4C2411yescharacteristic
769C22×D4C2411yescharacteristic
770C22×D4C2414yes—
771C22×D4C2412yes—
772C22×D4C2412yes—
773C22×D4C2414yes—
774C22×D4C2414yes—
775C22×D4C2414yes—
776C23×C4—44no—
777C23×C4C2×D418yes—
778C23×C4C2412yes—
779C23×C4C2411yescharacteristic
780C23×C4C2411yescharacteristic
781C23×C4C2412yes—
782C23×C4C2412yes—
783C23×C4C2412yes—
784C23×C4C2412yes—
785C23×C4C2412yes—
786C23×C4C2412yes—
787C23×C4C2412yes—
788C23×C4C2412yes—
789C23×C4C2412yes—
790C23×C4C2412yes—
791C23×C4C2414yes—
792C23×C4C2414yes—
793C23×C4C2414yes—
794C23×C4C2411yescharacteristic
795C23×C4C2411yescharacteristic
796C23×C4C2412yes—
797C23×C4C2412yes—
798C23×C4C2411yescharacteristic
799C23×C4C2411yescharacteristic
800C4⋊Q8—24no—
801C4⋊Q8—24no—
802C4⋊Q8—24no—
803C4⋊Q8—44no—
804#127—24no—
805#127—44no—
806#126—216no—
807#126—216no—
808#126—28no—
809#126—28no—
810#126—28no—
811#126—28no—
812#126—216no—
813#126—216no—
814#126—28no—
815#126—28no—
816#126—28no—
817#126—28no—
818#125—216no—
819#125—216no—
820#125—28no—
821#125—28no—
822#125—28no—
823#125—28no—
824#125—28no—
825#125—24no—
826#125—24no—
827#125—28no—
828#124—216no—
829#124—216no—
830#124—28no—
831#124—24no—
832#124—24no—
833#124—28no—
834#124—44no—
835#124—44no—
836#123—28no—
837#123—28no—
838#123—28no—
839#123—28no—
840#123—28no—
841#123—28no—
842#123—28no—
843#123—28no—
844#123—216no—
845#123—216no—
846#123—216no—
847#123—28no—
848#123—28no—
849#123—28no—
850#123—28no—
851#123—216no—
852#123—216no—
853#123—28no—
854#123—28no—
855#123—48no—
856#123—84no—
857C22⋊Q8—28no—
858C22⋊Q8—28no—
859C22⋊Q8—28no—
860C22⋊Q8—24no—
861C22⋊Q8—24no—
862C22⋊Q8—28no—
863C22⋊Q8—28no—
864C22⋊Q8—216no—
865C22⋊Q8—216no—
866C22⋊Q8—28no—
867C22⋊Q8—28no—
868C22⋊Q8—28no—
869C22⋊Q8—28no—
870C22⋊Q8—28no—
871C22⋊Q8—28no—
872C22⋊Q8—28no—
873C22⋊Q8—28no—
874C22⋊Q8—84no—
875C22⋊Q8—84no—
876#121—28no—
877#121—28no—
878#121—28no—
879#121—24no—
880#121—24no—
881#121—28no—
882#121—28no—
883#121—216no—
884#121—216no—
885#121—48no—
886#121—48no—
887#121—48no—
888#121—48no—
889#121—84no—
890#121—84no—
891#120—216no—
892#120—28no—
893#120—28no—
894#120—48no—
895#120—84no—
896C4×Q8—28no—
897C4×Q8—28no—
898C4×Q8—28no—
899C4×Q8—28no—
900C4×Q8—24no—
901C4×Q8—24no—
902C4×Q8—28no—
903C4×D4—216no—
904C4×D4—216no—
905C4×D4—28no—
906C4×D4—28no—
907C4×D4—28no—
908C4×D4—28no—
909C4×D4—216no—
910C4×D4—216no—
911C4×D4—28no—
912C4×D4—28no—
913C4×D4—28no—
914C4×D4—28no—
915C4×D4—28no—
916C4×D4—28no—
917C4×D4—28no—
918C4×D4—28no—
919C4×D4—28no—
920C4×D4—24no—
921C4×D4—24no—
922C4×D4—48no—
923C4×D4—48no—
924#117—28no—
925#117—28no—
926#117—28no—
927#117—216no—
928#117—28no—
929#117—28no—
930#117—28no—
931#117—28no—
932#117C2×D4116yes—
933#117C2×D4116yes—
934#117C2×D4116yes—
935#117C2×D4116yes—
936C2×C4⋊C4—28no—
937C2×C4⋊C4—28no—
938C2×C4⋊C4—44no—
939C2×C4⋊C4—82no—
940C2×C4⋊C4—82no—
941C2×C4⋊C4C2×D418yes—
942C2×C4⋊C4C2×D418yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C22⋊C4—28no—
1000C2×C22⋊C4—28no—
1001C2×C22⋊C4—28no—
1002C2×C22⋊C4—28no—
1003C2×C22⋊C4—28no—
1004C2×C22⋊C4—44no—
1005C2×C22⋊C4—82no—
1006C2×C22⋊C4C2×D418yes—
1007C2×C22⋊C4C2×D418yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C42—216no—
1070C2×C42—44no—
1071C2×C42—44no—
1072C2×C42—44no—
1073C2×C42C2×D418yes—
1074C2×C42C2×D418yes—
1075C2×C42C2414yes—
1076C2×C42C2412yes—
1077C2×C42C2412yes—
1078C2×C42C2412yes—
1079C2×C42C2412yes—
1080C2×C42C2414yes—
1081C2×C42C2414yes—
1082C2×C42C2414yes—
1083C2×C42C2412yes—
1084C2×C42C2412yes—
1085C2×C42C2414yes—
1086C2×C42C2412yes—
1087C2×C42C2412yes—
1088C2×C42C2414yes—
1089C2×C42C2414yes—
1090C2×C42C2412yes—
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2411yescharacteristic
1095C2×C42C2412yes—
1096#95C2412yes—
1097#95C2411yescharacteristic
1098#95C2411yescharacteristic
1099#95C2412yes—
1100#95C2412yes—
1101#95C2411yescharacteristic
1102#95C2412yes—
1103#95C2411yescharacteristic
1104#95C2412yes—
1105#95C2412yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140C24—24no—
1141C24—24no—
1142C24—42no—
1143C24—41no—
1144C24—41no—
1145C24—44no—
1146C24—44no—
1147C24—42no—
1148C24—42no—
1149C24C22×D414yes—
1150C24C2512yes—
1151C24C2512yes—
1152C24C2514yes—
1153C24C2512yes—
1154C24C2511yescharacteristic
1155#41—432no—
1156C2×Q8—24no—
1157C2×Q8—24no—
1158C2×Q8—22no—
1159C2×Q8—22no—
1160C2×Q8—24no—
1161C2×Q8—24no—
1162C2×Q8—44no—
1163C2×Q8—42no—
1164C2×Q8—42no—
1165C2×Q8—42no—
1166C2×Q8—42no—
1167C2×Q8—42no—
1168C2×Q8—42no—
1169C2×Q8—42no—
1170C2×Q8—42no—
1171C2×D4—28no—
1172C2×D4—24no—
1173C2×D4—24no—
1174C2×D4—24no—
1175C2×D4—24no—
1176C2×D4—28no—
1177C2×D4—28no—
1178C2×D4—28no—
1179C2×D4—28no—
1180C2×D4—28no—
1181C2×D4—28no—
1182C2×D4—24no—
1183C2×D4—24no—
1184C2×D4—22no—
1185C2×D4—22no—
1186C2×D4—24no—
1187C2×D4—24no—
1188C2×D4—28no—
1189C2×D4—44no—
1190C2×D4—44no—
1191C2×D4—44no—
1192C2×D4—44no—
1193C2×D4—44no—
1194C2×D4—44no—
1195C2×D4—44no—
1196C2×D4—44no—
1197C2×D4—44no—
1198C2×D4—42no—
1199C2×D4—42no—
1200C2×D4—44no—
1201C2×D4—42no—
1202C2×D4—42no—
1203C2×D4—42no—
1204C2×D4—42no—
1205C2×D4—44no—
1206C2×D4—42no—
1207C2×D4—42no—
1208C2×D4—44no—
1209C2×D4—44no—
1210C2×D4—44no—
1211C2×D4—44no—
1212C2×D4—44no—
1213C2×D4—44no—
1214C2×D4—44no—
1215C2×D4—432no—
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—28no—
1226C22×C4—24no—
1227C22×C4—28no—
1228C22×C4—28no—
1229C22×C4—24no—
1230C22×C4—24no—
1231C22×C4—24no—
1232C22×C4—24no—
1233C22×C4—42no—
1234C22×C4—42no—
1235C22×C4—41no—
1236C22×C4—41no—
1237C22×C4—416no—
1238C22×C4—44no—
1239C22×C4—44no—
1240C22×C4—42no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—44no—
1244C22×C4—44no—
1245C22×C4—44no—
1246C22×C4—42no—
1247C22×C4—42no—
1248C22×C4—42no—
1249C22×C4—42no—
1250C22×C4—42no—
1251C22×C4—42no—
1252C22×C4—44no—
1253C22×C4—44no—
1254C22×C4—44no—
1255C22×C4—44no—
1256C22×C4—42no—
1257C22×C4—44no—
1258C22×C4—42no—
1259C22×C4—44no—
1260C22×C4—42no—
1261C22×C4—42no—
1262C22×C4—44no—
1263C22×C4—42no—
1264C22×C4—42no—
1265C22×C4C22×D414yes—
1266C22×C4C22×D414yes—
1267C22×C4C22×D414yes—
1268C22×C4C22×D414yes—
1269C22×C4C22×D414yes—
1270C22×C4C22×D414yes—
1271C22×C4C22×D418yes—
1272C22×C4C22×D418yes—
1273C22×C4C2512yes—
1274C22×C4C2512yes—
1275C22×C4C2514yes—
1276C22×C4C2514yes—
1277C22×C4C2512yes—
1278C22×C4C2514yes—
1279C22×C4C2514yes—
1280C22×C4C2514yes—
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2512yes—
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2511yescharacteristic
1288C22×C4C2511yescharacteristic
1289C22×C4C2512yes—
1290C22×C4C2511yescharacteristic
1291C22×C4C2511yescharacteristic
1292C22×C4C2511yescharacteristic
1293C22×C4C2512yes—
1294C22×C4C2511yescharacteristic
1295C22×C4C2512yes—
1296C22×C4C2512yes—
1297C4⋊C4—24no—
1298C4⋊C4—24no—
1299C4⋊C4—24no—
1300C4⋊C4—24no—
1301C4⋊C4—24no—
1302C4⋊C4—24no—
1303C4⋊C4—24no—
1304C4⋊C4—24no—
1305C4⋊C4—24no—
1306C4⋊C4—24no—
1307C4⋊C4—24no—
1308C4⋊C4—24no—
1309C4⋊C4—24no—
1310C4⋊C4—24no—
1311C4⋊C4—28no—
1312C4⋊C4—28no—
1313C4⋊C4—24no—
1314C4⋊C4—24no—
1315C4⋊C4—24no—
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—22no—
1321C4⋊C4—22no—
1322C4⋊C4—28no—
1323C4⋊C4—28no—
1324C4⋊C4—28no—
1325C4⋊C4—28no—
1326C4⋊C4—24no—
1327C4⋊C4—22no—
1328C4⋊C4—22no—
1329C4⋊C4—24no—
1330C4⋊C4—24no—
1331C4⋊C4—28no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4C22×D418yes—
1350C4⋊C4C22×D418yes—
1351C4⋊C4C22×D418yes—
1352C4⋊C4C22×D418yes—
1353C22⋊C4—24no—
1354C22⋊C4—24no—
1355C22⋊C4—24no—
1356C22⋊C4—24no—
1357C22⋊C4—28no—
1358C22⋊C4—28no—
1359C22⋊C4—28no—
1360C22⋊C4—24no—
1361C22⋊C4—24no—
1362C22⋊C4—24no—
1363C22⋊C4—24no—
1364C22⋊C4—24no—
1365C22⋊C4—24no—
1366C22⋊C4—24no—
1367C22⋊C4—24no—
1368C22⋊C4—24no—
1369C22⋊C4—24no—
1370C22⋊C4—24no—
1371C22⋊C4—24no—
1372C22⋊C4—28no—
1373C22⋊C4—28no—
1374C22⋊C4—24no—
1375C22⋊C4—24no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—28no—
1379C22⋊C4—28no—
1380C22⋊C4—28no—
1381C22⋊C4—28no—
1382C22⋊C4—28no—
1383C22⋊C4—28no—
1384C22⋊C4—28no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4C22×D418yes—
1411C22⋊C4C22×D418yes—
1412C22⋊C4C22×D418yes—
1413C22⋊C4C22×D418yes—
1414C42—28no—
1415C42—28no—
1416C42—28no—
1417C42—24no—
1418C42—24no—
1419C42—24no—
1420C42—24no—
1421C42—28no—
1422C42—24no—
1423C42—24no—
1424C42—44no—
1425C42—42no—
1426C42—42no—
1427C42—44no—
1428C42—44no—
1429C42C22×D418yes—
1430C42C22×D414yes—
1431C42C22×D414yes—
1432C42C22×D414yes—
1433C42C22×D414yes—
1434C42C22×D418yes—
1435C23—22no—
1436C23—21no—
1437C23—21no—
1438C23—24no—
1439C23—24no—
1440C23—22no—
1441C23—22no—
1442C23—28no—
1443C23—22no—
1444C23—22no—
1445C23—24no—
1446C23—24no—
1447C23—24no—
1448C23—24no—
1449C23—24no—
1450C23—24no—
1451C23—24no—
1452C23—24no—
1453C23—24no—
1454C23—22no—
1455C23—24no—
1456C23—22no—
1457C23—22no—
1458C23—24no—
1459C23—22no—
1460C23—44no—
1461C23—44no—
1462C23—48no—
1463C23—84no—
1464C23—84no—
1465C23—84no—
1466C23—84no—
1467C23—164no—
1468C23—164no—
1469C23C23×D414yes—
1470C23C23×D412yes—
1471C23#58514yes—
1472C23C2611yescharacteristic
1473Q8—48no—
1474Q8—82no—
1475Q8—82no—
1476Q8—84no—
1477Q8—84no—
1478Q8—84no—
1479D4—48no—
1480D4—48no—
1481D4—48no—
1482D4—48no—
1483D4—48no—
1484D4—416no—
1485D4—84no—
1486D4—82no—
1487D4—82no—
1488D4—84no—
1489D4—84no—
1490D4—88no—
1491D4—88no—
1492D4—88no—
1493D4—88no—
1494D4—164no—
1495D4—164no—
1496C2×C4—24no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—24no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—21no—
1504C2×C4—22no—
1505C2×C4—21no—
1506C2×C4—22no—
1507C2×C4—21no—
1508C2×C4—22no—
1509C2×C4—21no—
1510C2×C4—28no—
1511C2×C4—28no—
1512C2×C4—24no—
1513C2×C4—24no—
1514C2×C4—24no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—24no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—24no—
1527C2×C4—24no—
1528C2×C4—24no—
1529C2×C4—24no—
1530C2×C4—22no—
1531C2×C4—24no—
1532C2×C4—24no—
1533C2×C4—24no—
1534C2×C4—24no—
1535C2×C4—24no—
1536C2×C4—24no—
1537C2×C4—24no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—24no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—24no—
1544C2×C4—24no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—24no—
1549C2×C4—22no—
1550C2×C4—48no—
1551C2×C4—48no—
1552C2×C4—44no—
1553C2×C4—44no—
1554C2×C4—44no—
1555C2×C4—44no—
1556C2×C4—48no—
1557C2×C4—416no—
1558C2×C4—48no—
1559C2×C4—84no—
1560C2×C4—84no—
1561C2×C4—88no—
1562C2×C4—84no—
1563C2×C4—88no—
1564C2×C4—84no—
1565C2×C4—84no—
1566C2×C4—84no—
1567C2×C4—84no—
1568C2×C4—84no—
1569C2×C4—84no—
1570C2×C4C23×D412yes—
1571C2×C4C23×D414yes—
1572C2×C4C23×D412yes—
1573C2×C4C23×D414yes—
1574C2×C4C23×D412yes—
1575C2×C4C23×D412yes—
1576C2×C4C23×D412yes—
1577C2×C4C23×D412yes—
1578C2×C4C23×D414yes—
1579C2×C4#58514yes—
1580C22—22no—
1581C22—22no—
1582C22—24no—
1583C22—24no—
1584C22—24no—
1585C22—24no—
1586C22—24no—
1587C22—44no—
1588C22—44no—
1589C22—44no—
1590C22—42no—
1591C22—42no—
1592C22—44no—
1593C22—42no—
1594C22—42no—
1595C22—44no—
1596C22—44no—
1597C22—44no—
1598C22—44no—
1599C22—44no—
1600C22—44no—
1601C22—44no—
1602C22—44no—
1603C22—44no—
1604C22—42no—
1605C22—42no—
1606C22—88no—
1607C22—168no—
1608C22#344914yes—
1609C22C24×D411yescharacteristic
1610C22C2×#58512yes—
1611C22C2×#58512yes—
1612C22H(7,𝔽2)11yescharacteristic
1613C222−1+611yescharacteristic
1614C4—24no—
1615C4—22no—
1616C4—22no—
1617C4—22no—
1618C4—24no—
1619C4—22no—
1620C4—24no—
1621C4—22no—
1622C4—24no—
1623C4—22no—
1624C4—42no—
1625C4—42no—
1626C4—44no—
1627C4—42no—
1628C4—42no—
1629C4—44no—
1630C4—42no—
1631C4—42no—
1632C4—44no—
1633C4—44no—
1634C4—42no—
1635C4—42no—
1636C4—42no—
1637C4—44no—
1638C2—24no—
1639C2—44no—
1640C2—84no—
1641C2—82no—
1642C2—82no—
1643C2C2×#344911yescharacteristic
1644C2#6281211yescharacteristic
1645C2#6285311yescharacteristic
1646C2#6290912yes—
1647C2#6291012yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3491C2semidirect
2. C2×#3455C2semidirect
3. #42392C2semidirect
4. #42390C2semidirect
5. #42316C2semidirect
6. #42314C2semidirect
7. #42157C2semidirect
8. #42155C2semidirect
9. #41960C2semidirect
10. #41958C2semidirect
11. #38387C2semidirect
12. #38386C2semidirect
13. #38383C2semidirect
14. #38382C2semidirect
15. #37555C2semidirect
16. #37554C2semidirect
17. #37452C2semidirect
18. #37130C2semidirect
19. #36740C2semidirect
20. #36739C2semidirect
21. #35365C2semidirect
22. #35326C2semidirect
23. #35303C2semidirect
24. #35130C2semidirect
25. #35064C2semidirect
26. #35006C2semidirect
27. #35004C2semidirect
28. #34876C2semidirect
29. C2×#2346C2semidirect
41. C2×#542C22semidirect
42. C2×#542C22semidirect
43. C2×#541C22semidirect
44. C2×#540C22semidirect
48. C2×#539C22semidirect
49. C2×#539C22semidirect
53. C2×#533C22semidirect
54. C2×#532C22semidirect
58. C2×#529C22semidirect
59. C2×#529C22semidirect
63. C2×C4×#41C22semidirect
65. #2857C22semidirect
67. #2854C22semidirect
68. #2854C22semidirect
69. #2851C22semidirect
71. #2850C22semidirect
72. #2850C22semidirect
73. #2822C22semidirect
74. #2820C22semidirect
75. #2820C22semidirect
76. #2819C22semidirect
81. #2727C22semidirect
82. #2726C22semidirect
83. #2725C22semidirect
84. #2725C22semidirect
87. #2707C22semidirect
88. #2707C22semidirect
90. #2705C22semidirect
91. #2705C22semidirect
92. #2704C22semidirect
93. #2704C22semidirect
95. #2702C22semidirect
96. #2702C22semidirect
97. #2700C22semidirect
98. #2698C22semidirect
99. #2689C22semidirect
100. #2687C22semidirect
102. #2683C22semidirect
103. #2682C22semidirect
104. #2681C22semidirect
105. #2681C22semidirect
106. #2681C22semidirect
107. #2680C22semidirect
109. #2674C22semidirect
110. #2672C22semidirect
117. #2660C22semidirect
118. #2660C22semidirect
119. #2659C22semidirect
120. #2658C22semidirect
121. #2657C22semidirect
123. #2642C22semidirect
124. #2641C22semidirect
125. #2640C22semidirect
126. #2640C22semidirect
128. #2639C22semidirect
129. #2637C22semidirect
130. #2637C22semidirect
131. #2637C22semidirect
132. #2636C22semidirect
133. #2636C22semidirect
134. #2636C22semidirect
137. #2628C22semidirect
138. #2628C22semidirect
139. #2627C22semidirect
140. #2626C22semidirect
141. #2621C22semidirect
142. #2619C22semidirect
143. #2618C22semidirect
144. #2618C22semidirect
145. #2618C22semidirect
146. #2617C22semidirect
147. #2611C22semidirect
148. #2611C22semidirect
149. #2611C22semidirect
150. #2610C22semidirect
151. #2610C22semidirect
152. #2610C22semidirect
153. #2609C22semidirect
154. #2609C22semidirect
155. #2604C22semidirect
156. #2604C22semidirect
157. #2604C22semidirect
158. #2603C22semidirect
159. #2603C22semidirect
160. #2603C22semidirect
163. #2591C22semidirect
164. #2583C22semidirect
165. #2581C22semidirect
166. #2581C22semidirect
167. #2580C22semidirect
168. #2580C22semidirect
169. #2579C22semidirect
170. #2564C22semidirect
171. #2564C22semidirect
172. #2561C22semidirect
173. #2560C22semidirect
174. #2560C22semidirect
175. #2558C22semidirect
176. #2558C22semidirect
177. #2556C22semidirect
178. #2556C22semidirect
179. #2554C22semidirect
180. #2554C22semidirect
182. #2543C22semidirect
183. #2539C22semidirect
184. #2536C22semidirect
185. #2536C22semidirect
186. #2535C22semidirect
187. #2535C22semidirect
188. #2534C22semidirect
189. #2519C22semidirect
190. #2519C22semidirect
191. #2512C22semidirect
192. #2506C22semidirect
193. #2498C22semidirect
194. #2498C22semidirect
195. #2498C22semidirect
196. #2498C22semidirect
197. #2480C22semidirect
198. #2478C22semidirect
199. #2476C22semidirect
200. #2474C22semidirect
201. #2472C22semidirect
202. #2470C22semidirect
207. #2461C22semidirect
208. #2461C22semidirect
213. #2452C22semidirect
214. #2445C22semidirect
215. #2430C22semidirect
216. #2430C22semidirect
217. #2430C22semidirect
218. #2430C22semidirect
219. #2424C22semidirect
220. #2418C22semidirect
221. #2417C22semidirect
222. #2417C22semidirect
224. #2416C22semidirect
229. #2399C22semidirect
230. #2398C22semidirect
231. #2398C22semidirect
232. #2397C22semidirect
233. #2346C22semidirect
234. #2346C22semidirect
235. #2346C22semidirect
236. #2346C22semidirect
237. #2346C22semidirect
238. #2346C22semidirect
239. #2328C22semidirect
240. #2327C22semidirect
241. #2326C22semidirect
242. #2326C22semidirect
243. #2325C22semidirect
244. #2325C22semidirect
245. #2322C22semidirect
246. #2321C22semidirect
247. C4×#121C22semidirect
248. C4×#121C22semidirect
249. C2×#389C22semidirect
250. #2290C22semidirect
251. #2290C22semidirect
254. C2×#382C22semidirect
255. C2×#382C22semidirect
257. C2×C4×C4⋊C4C22semidirect
259. C2×#376C22semidirect
260. C2×#376C22semidirect
420. C2×#117D4semidirect

Maximal subgroups

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

subgroupindex
C2×#34912
C2×#34552
#423922
#423902
#423162
#423142
#421572
#421552
#419602
#419582
#383872
#383862
#383832
#383822
#375552
#375542
#374522
#371302
#367402
#367392
#353652
#353262
#353032
#351302
#350642
#350062
#350042
#348762
C2×#23462