Finite Group Databasebeta

← #7656592

Subgroups — #7656592

Order 512.

7290 conjugacy classes of subgroups.

The subgroup lattice has 1698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3513C212yesmaximal, complemented
2#42443C212yesmaximal, complemented
3#42442C212yesmaximal, complemented
4#42439C212yesmaximal, complemented
5#42438C212yesmaximal, complemented
6#40533C214yesmaximal, complemented
7#40532C214yesmaximal, complemented
8#40529C214yesmaximal, complemented
9#40528C214yesmaximal, complemented
10#39486C211yesmaximal, characteristic, complemented
11#39358C211yesmaximal, characteristic, complemented
12#38949C212yesmaximal, complemented
13#38086C214yesmaximal, complemented
14#37866C212yesmaximal, complemented
15#37678C212yesmaximal, complemented
16#37620C212yesmaximal, complemented
17#37452C214yesmaximal, complemented
18#36424C212yesmaximal, complemented
19#36186C211yesmaximal, characteristic, complemented
20#36126C211yesmaximal, characteristic, complemented
21#35823C212yesmaximal, complemented
22#35808C212yesmaximal, complemented
23#35778C212yesmaximal, complemented
24#35763C212yesmaximal, complemented
25#35103C211yesmaximal, characteristic, complemented
26#35089C212yesmaximal, complemented
27#34633C212yesmaximal, complemented
28#34594C211yesmaximal, characteristic, complemented
29C2×#2354C211yesmaximal, characteristic, complemented
30#3513—232no—
31C2×#559C2212yes—
32C2×#554C2212yescomplemented
33C2×#553C2212yes—
34C2×#553C2214yescomplemented
35C2×#552C2212yescomplemented
36C2×#551C2214yescomplemented
37C2×#551C2214yescomplemented
38C2×#547C2212yescomplemented
39C2×#546C2212yes—
40C2×#546C2214yescomplemented
41C2×#546C2212yescomplemented
42C2×D42C2212yes—
43C2×#542C2212yes—
44C2×#540C2212yes—
45C2×#539C2214yescomplemented
46C2×#538C2214yescomplemented
47C2×#534C2212yes—
48C2×#532C2212yescomplemented
49C2×#529C2212yescomplemented
50C2×#529C2212yescomplemented
51C2×#525C2214yescomplemented
52C22×#123C2214yescomplemented
53C2×#520C2212yescomplemented
54C2×#518C2212yescomplemented
55C22×C4×D4C2211yescharacteristic
56C22×#117C2212yescomplemented
57#2857C2211yescharacteristic, complemented
58#2856C2211yescharacteristic
59#2854C2212yes—
60#2854C2212yescomplemented
61#2854C2214yescomplemented
62#2850C2212yescomplemented
63#2823C2214yescomplemented
64#2823C2214yescomplemented
65#2814C2214yescomplemented
66#2814C2214yescomplemented
67#2813C2214yescomplemented
68#2813C2214yescomplemented
69#2724C2212yescomplemented
70#2718C2214yescomplemented
71#2710C2214yescomplemented
72#2706C2214yescomplemented
73#2703C2214yescomplemented
74#2701C2214yescomplemented
75#2701C2214yescomplemented
76#2700C2214yescomplemented
77#2699C2214yescomplemented
78#2698C2214yescomplemented
79#2697C2214yescomplemented
80#2689C2214yescomplemented
81#2687C2214yescomplemented
82#2685C2214yescomplemented
83#2682C2212yes—
84#2682C2212yescomplemented
85#2681C2214yescomplemented
86#2680C2214yescomplemented
87#2679C2212yes—
88#2678C2214yes—
89#2678C2214yescomplemented
90#2678C2214yescomplemented
91#2674C2214yescomplemented
92#2672C2214yescomplemented
93#2670C2214yescomplemented
94#2669C2214yescomplemented
95#2664C2212yescomplemented
96#2664C2212yescomplemented
97#2662C2212yescomplemented
98#2662C2212yescomplemented
99#2659C2211yescharacteristic, complemented
100#2656C2211yescharacteristic
101#2639C2212yescomplemented
102#2630C2214yescomplemented
103#2630C2214yescomplemented
104#2630C2214yescomplemented
105#2630C2214yescomplemented
106#2629C2214yescomplemented
107#2629C2212yescomplemented
108#2629C2212yescomplemented
109#2627C2214yescomplemented
110#2626C2214yescomplemented
111#2621C2214yescomplemented
112#2620C2214yescomplemented
113#2620C2214yescomplemented
114#2620C2214yescomplemented
115#2620C2212yescomplemented
116#2620C2212yescomplemented
117#2619C2214yescomplemented
118#2618C2211yescharacteristic
119#2618C2212yescomplemented
120#2618C2214yescomplemented
121#2618C2212yescomplemented
122#2618C2211yescharacteristic, complemented
123#2618C2212yescomplemented
124#2618C2214yescomplemented
125#2618C2214yescomplemented
126#2617C2212yes—
127#2617C2214yescomplemented
128#2617C2212yescomplemented
129#2617C2214yescomplemented
130#2601C2214yescomplemented
131#2601C2214yescomplemented
132#2582C2212yescomplemented
133#2579C2214yescomplemented
134#2579C2214yescomplemented
135#2566C2212yescomplemented
136#2565C2212yescomplemented
137#2560C2214yescomplemented
138#2558C2214yescomplemented
139#2556C2214yescomplemented
140#2554C2214yescomplemented
141#2552C2211yescharacteristic, complemented
142#2551C2211yescharacteristic, complemented
143#2550C2212yescomplemented
144#2545C2212yescomplemented
145#2544C2212yescomplemented
146#2542C2211yescharacteristic, complemented
147#2541C2211yescharacteristic, complemented
148#2540C2212yescomplemented
149#2538C2212yescomplemented
150#2538C2212yescomplemented
151#2537C2212yescomplemented
152#2534C2214yescomplemented
153#2534C2214yescomplemented
154#2519C2214yescomplemented
155#2512C2212yescomplemented
156#2506C2212yescomplemented
157#2498C2214yescomplemented
158#2498C2214yescomplemented
159#2492C2212yescomplemented
160#2491C2212yescomplemented
161#2490C2212yescomplemented
162#2489C2212yescomplemented
163#2480C2214yescomplemented
164#2478C2214yescomplemented
165#2476C2214yescomplemented
166#2474C2214yescomplemented
167#2472C2214yescomplemented
168#2470C2214yescomplemented
169#2468C2214yescomplemented
170#2466C2214yescomplemented
171#2464C2214yescomplemented
172#2461C2214yescomplemented
173#2461C2214yescomplemented
174#2459C2214yescomplemented
175#2457C2214yescomplemented
176#2456C2214yescomplemented
177#2455C2214yescomplemented
178#2452C2212yescomplemented
179#2447C2212yescomplemented
180#2447C2212yescomplemented
181#2445C2212yes—
182#2445C2212yes—
183#2445C2212yescomplemented
184#2435C2212yescomplemented
185#2433C2212yes—
186#2432C2212yescomplemented
187#2431C2212yes—
188#2430C2214yescomplemented
189#2430C2214yescomplemented
190#2424C2214yescomplemented
191#2422C2212yes—
192#2422C2212yescomplemented
193#2420C2212yes—
194#2420C2212yescomplemented
195#2418C2214yescomplemented
196#2417C2212yescomplemented
197#2417C2212yescomplemented
198#2417C2214yescomplemented
199#2416C2212yes—
200#2416C2212yescomplemented
201#2416C2214yescomplemented
202#2413C2214yescomplemented
203#2413C2214yescomplemented
204#2413C2214yescomplemented
205#2413C2214yescomplemented
206#2412C2214yescomplemented
207#2412C2214yescomplemented
208#2411C2214yescomplemented
209#2411C2214yescomplemented
210#2411C2214yescomplemented
211#2411C2214yescomplemented
212#2410C2214yes—
213#2410C2214yescomplemented
214#2408C2212yes—
215#2408C2212yescomplemented
216#2407C2212yes—
217#2407C2212yescomplemented
218#2396C2212yescomplemented
219#2396C2212yescomplemented
220#2392C2212yescomplemented
221#2392C2212yescomplemented
222#2392C2214yescomplemented
223#2392C2214yescomplemented
224#2392C2214yescomplemented
225#2392C2214yescomplemented
226#2367C2212yescomplemented
227#2366C2211yescharacteristic, complemented
228#2365C2211yescharacteristic, complemented
229#2363C2212yescomplemented
230#2362C2212yescomplemented
231#2361C2212yescomplemented
232#2360C2212yescomplemented
233#2354C2214yescomplemented
234#2354C2214yescomplemented
235#2354C2212yescomplemented
236#2354C2212yescomplemented
237#2354C2212yescomplemented
238#2354C2212yescomplemented
239#2354C2211yescharacteristic, complemented
240#2352C2212yescomplemented
241D4×C4⋊C4C2211yescharacteristic, complemented
242#2325C2212yescomplemented
243#2325C2212yescomplemented
244#2315C2212yescomplemented
245#2308C2214yescomplemented
246C4×#121C2211yescharacteristic
247C4×#121C2211yescharacteristic, complemented
248C4×#121C2212yescomplemented
249#2297C2214yescomplemented
250C2×#390C2211yescharacteristic
251C2×#390C2211yescharacteristic
252C2×#388C2212yescomplemented
253C2×#388C2212yescomplemented
254#2285C2212yescomplemented
255C2×#384C2211yescharacteristic, complemented
256C2×#380C2212yescomplemented
257C2×C4×C4⋊C4C2211yescharacteristic, complemented
258C2×C4×C4⋊C4C2211yescharacteristic, complemented
259C2×C4×C4⋊C4C2211yescharacteristic, complemented
260C22×#41C2312yes—
261C22×#41C2314yes—
262C23×D4C2314yes—
263C23×D4C2312yes—
264C23×D4C2311yescharacteristic
265C24×C4C2312yes—
266#559—216no—
267#554—216no—
268#553—216no—
269#553—232no—
270#552—216no—
271#551—232no—
272#551—232no—
273#547—216no—
274#546—216no—
275#546—216no—
276#546—232no—
277D42—216no—
278#542—216no—
279#540—216no—
280#539—232no—
281#538—232no—
282#534—48no—
283#532—48no—
284C2×C4⋊Q8C2312yes—
285C2×C4⋊Q8C2311yescharacteristic
286C2×C4⋊Q8C2312yes—
287C2×#127C2312yes—
288C2×#127C2311yescharacteristic
289C2×#127C2312yes—
290#529—216no—
291#529—216no—
292C2×#126C2314yes—
293C2×#126C2314yes—
294C2×#126C2312yes—
295C2×#126C2312yes—
296C2×#126C2314yes—
297C2×#126C2314yes—
298C2×#125C2312yes—
299C2×#125C2312yes—
300C2×#125C2314yes—
301C2×#125C2312yes—
302C2×#124C2312yes—
303C2×#124C2312yes—
304C2×#124C2314yes—
305C2×#124C2314yes—
306C2×#124C2312yes—
307C2×#124C2312yes—
308C2×#124C2314yes—
309#525—232no—
310C2×#123—232no—
311C2×#123C2314yes—
312C2×#123C2314yes—
313C2×#123C2312yes—
314C2×#123C2314yes—
315C2×#123C2312yes—
316C2×#123C2314yes—
317C2×#123C2314yes—
318C2×#123C2314yes—
319C2×#123C2314yes—
320C2×#123C2314yes—
321C2×#123C2314yes—
322C2×#123C2314yes—
323C2×#123C2314yes—
324C2×#123C2314yes—
325C2×#123C2314yes—
326C2×#123C2314yes—
327C2×#123C2314yes—
328C2×#123C2314yes—
329C2×C22⋊Q8C2314yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2314yes—
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2314yes—
340C2×#121C2312yes—
341C2×#121C2312yes—
342C2×#121C2311yescharacteristic
343C2×#121C2311yescharacteristic
344C2×#121C2314yes—
345C2×#121C2314yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2314yes—
350C2×#121C2314yes—
351C2×#121C2314yes—
352C2×#121C2314yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2314yes—
356C2×#121C2312yes—
357C2×#121C2314yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2314yes—
361C2×#120C2314yes—
362C2×#120C2314yes—
363C2×#120C2314yes—
364C2×#120C2314yes—
365C2×#120C2314yes—
366C2×#120C2314yes—
367C2×#120C2314yes—
368C2×#120C2314yes—
369#520—216no—
370#518—216no—
371C2×C4×Q8C2312yes—
372C2×C4×Q8C2312yes—
373C2×C4×Q8C2312yes—
374C2×C4×D4D4116yescomplemented
375C2×C4×D4C2312yes—
376C2×C4×D4C2314yes—
377C2×C4×D4C2314yes—
378C2×C4×D4C2314yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2314yes—
381C2×C4×D4C2314yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2314yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2314yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2311yescharacteristic
393C2×C4×D4C2314yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2314yes—
397C2×C4×D4C2312yes—
398C2×#117—48no—
399C2×#117C2314yes—
400C2×#117C2312yes—
401C2×#117C2312yes—
402C2×#117C2312yes—
403C2×#117C2314yes—
404C2×#117C2314yes—
405C2×#117C2314yes—
406C2×#117C2314yes—
407C2×#117C2314yes—
408C2×#117C2314yes—
409C22×C4⋊C4C2314yes—
410C22×C4⋊C4C2312yes—
411C22×C4⋊C4C2311yescharacteristic
412C22×C4⋊C4C2314yes—
413C22×C4⋊C4C2312yes—
414C22×C4⋊C4C2311yescharacteristic
415C22×C4⋊C4C2311yescharacteristic
416C22×C4⋊C4C2311yescharacteristic
417C22×C4⋊C4C2312yes—
418C22×C4⋊C4C2311yescharacteristic
419C22×C22⋊C4C2314yes—
420C22×C22⋊C4C2312yes—
421C22×C22⋊C4C2314yes—
422C22×C22⋊C4C2314yes—
423C22×C22⋊C4C2314yes—
424C22×C22⋊C4C2312yes—
425C22×C22⋊C4C2312yes—
426C22×C22⋊C4C2312yes—
427C22×C22⋊C4C2312yes—
428C22×C42C2312yes—
429C22×C42C2311yescharacteristic
430C22×C42C2312yes—
431C22×C42C2311yescharacteristic
432C22×C42C2311yescharacteristic
433#400C2314yes—
434#400C2314yes—
435#400C2312yes—
436#400C2312yes—
437#399C2314yes—
438#399C2314yes—
439#399C2312yes—
440#399C2312yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2312yes—
450#398C2314yes—
451#398C2312yes—
452#398C2312yes—
453#398C2314yes—
454#398C2312yes—
455#398C2314yes—
456#398C2314yes—
457#398C2312yes—
458#398C2312yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2312yes—
470#397C2312yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2312yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2312yes—
490#396C2312yes—
491#396C2312yes—
492#396C2314yes—
493#396C2314yes—
494#396C2312yes—
495#396C2312yes—
496#396C2314yes—
497#396C2312yes—
498#396C2312yes—
499#395C2314yes—
500#395C2314yes—
501#395C2312yes—
502#395C2312yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2312yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2312yes—
522#394C2312yes—
523#394C2314yes—
524#394C2312yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2312yes—
536#394C2312yes—
537#393C2314yes—
538#393C2314yes—
539#393C2312yes—
540#393C2312yes—
541#392C2314yes—
542#392C2314yes—
543#392C2314yes—
544#392C2314yes—
545#392C2314yes—
546#392C2314yes—
547#392C2314yes—
548#392C2314yes—
549#392C2314yes—
550#392C2314yes—
551#392C2312yes—
552#392C2312yes—
553#391C2314yes—
554#391C2312yes—
555#391C2312yes—
556#391C2312yes—
557#391C2312yes—
558#391C2314yes—
559#391C2314yes—
560#390C2314yes—
561#390C2312yes—
562#390C2312yes—
563#390C2312yes—
564#390C2312yes—
565#390C2314yes—
566#390C2312yes—
567#390C2312yes—
568#390C2312yes—
569#390C2312yes—
570#390C2312yes—
571#390C2312yes—
572#390C2312yes—
573#390C2312yes—
574#390C2312yes—
575#390C2314yes—
576#390C2312yes—
577#390C2314yes—
578#390C2314yes—
579#390C2312yes—
580#390C2312yes—
581#390C2314yes—
582#390C2312yes—
583#390C2311yescharacteristic
584#390C2311yescharacteristic
585#389C2312yes—
586#389C2312yes—
587#389C2314yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2314yes—
592#389C2314yes—
593#389C2312yes—
594#389C2312yes—
595#389C2312yes—
596#389C2312yes—
597#389C2312yes—
598#389C2314yes—
599#389C2311yescharacteristic
600#389C2312yes—
601#389C2311yescharacteristic
602#388C2312yes—
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#388C2312yes—
628#388C2312yes—
629#388C2312yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#386C2314yes—
637#386C2312yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2312yes—
656#386C2314yes—
657#386C2312yes—
658#386C2312yes—
659#386C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#384C2311yescharacteristic
675#384C2311yescharacteristic
676#384C2314yes—
677#384C2312yes—
678#384C2312yes—
679#384C2312yes—
680#384C2312yes—
681#382C2312yes—
682#382C2314yes—
683#381C2314yes—
684#381C2314yes—
685#381C2314yes—
686#381C2314yes—
687#380C2311yescharacteristic
688#380C2312yes—
689#380C2314yes—
690#380C2314yes—
691#380C2314yes—
692#380C2312yes—
693#380C2312yes—
694#380C2312yes—
695#380C2312yes—
696#380C2314yes—
697#380C2314yes—
698#380C2312yes—
699#380C2311yescharacteristic
700#380C2314yes—
701#380C2312yes—
702#380C2314yes—
703#380C2314yes—
704#379C2314yes—
705#379C2314yes—
706#379C2314yes—
707#379C2314yes—
708C4×C4⋊C4C2314yes—
709C4×C4⋊C4C2312yes—
710C4×C4⋊C4C2312yes—
711C4×C4⋊C4C2312yes—
712C4×C4⋊C4C2312yes—
713C4×C4⋊C4C2311yescharacteristic
714C4×C4⋊C4C2312yes—
715C4×C4⋊C4C2311yescharacteristic
716C4×C4⋊C4C2312yes—
717C4×C4⋊C4C2312yes—
718C4×C4⋊C4C2311yescharacteristic
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2311yescharacteristic
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2314yes—
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2311yescharacteristic
725C4×C4⋊C4C2311yescharacteristic
726C4×C4⋊C4C2312yes—
727C4×C22⋊C4C2314yes—
728C4×C22⋊C4C2314yes—
729C4×C22⋊C4C2314yes—
730C4×C22⋊C4C2312yes—
731C4×C22⋊C4C2312yes—
732C4×C22⋊C4C2312yes—
733C4×C22⋊C4C2314yes—
734C4×C22⋊C4C2312yes—
735C2×#95C2311yescharacteristic
736C2×#95C2311yescharacteristic
737C2×#95C2312yes—
738C2×#95C2312yes—
739C25C2412yes—
740C25C2414yes—
741C2×#41—28no—
742C2×#41—216no—
743C2×#41—48no—
744C2×#41—48no—
745C2×#41—44no—
746C2×#41—44no—
747C22×Q8C2412yes—
748C22×Q8C2412yes—
749C22×Q8C2414yes—
750C22×D4—216no—
751C22×D4—28no—
752C22×D4—42no—
753C22×D4—42no—
754C22×D4—44no—
755C22×D4—44no—
756C22×D4—48no—
757C22×D4—48no—
758C22×D4C2×D418yes—
759C22×D4C2412yes—
760C22×D4C2412yes—
761C22×D4C2414yes—
762C22×D4C2412yes—
763C22×D4C2412yes—
764C22×D4C2411yescharacteristic
765C22×D4C2414yes—
766C22×D4C2414yes—
767C22×D4C2411yescharacteristic
768C22×D4C2414yes—
769C22×D4C2414yes—
770C22×D4C2412yes—
771C22×D4C2412yes—
772C22×D4C2414yes—
773C22×D4C2414yes—
774C22×D4C2414yes—
775C22×D4C2412yes—
776C22×D4C2414yes—
777C22×D4C2414yes—
778C22×D4C2412yes—
779C22×D4C2412yes—
780C23×C4—44no—
781C23×C4—44no—
782C23×C4C2×D4116yes—
783C23×C4C2412yes—
784C23×C4C2412yes—
785C23×C4C2412yes—
786C23×C4C2411yescharacteristic
787C23×C4C2411yescharacteristic
788C23×C4C2412yes—
789C23×C4C2412yes—
790C23×C4C2414yes—
791C23×C4C2414yes—
792C23×C4C2411yescharacteristic
793C23×C4C2411yescharacteristic
794C23×C4C2411yescharacteristic
795C23×C4C2414yes—
796C23×C4C2414yes—
797C23×C4C2414yes—
798C23×C4C2414yes—
799C23×C4C2411yescharacteristic
800C23×C4C2414yes—
801C23×C4C2414yes—
802C23×C4C2411yescharacteristic
803C4⋊Q8—28no—
804C4⋊Q8—44no—
805C4⋊Q8—42no—
806#127—28no—
807#127—42no—
808#127—44no—
809#126—216no—
810#126—216no—
811#126—216no—
812#126—216no—
813#126—28no—
814#126—28no—
815#125—216no—
816#125—28no—
817#125—28no—
818#125—28no—
819#124—28no—
820#124—216no—
821#124—216no—
822#124—28no—
823#124—28no—
824#124—48no—
825#124—44no—
826#123—216no—
827#123—28no—
828#123—216no—
829#123—216no—
830#123—216no—
831#123—216no—
832#123—216no—
833#123—216no—
834#123—216no—
835#123—28no—
836#123—216no—
837#123—216no—
838#123—216no—
839#123—216no—
840#123—48no—
841#123—48no—
842#123—84no—
843#123—84no—
844C22⋊Q8—216no—
845C22⋊Q8—216no—
846C22⋊Q8—28no—
847C22⋊Q8—28no—
848C22⋊Q8—216no—
849C22⋊Q8—28no—
850C22⋊Q8—216no—
851C22⋊Q8—216no—
852C22⋊Q8—44no—
853C22⋊Q8—44no—
854C22⋊Q8—84no—
855#121—216no—
856#121—216no—
857#121—28no—
858#121—28no—
859#121—216no—
860#121—216no—
861#121—28no—
862#121—28no—
863#121—24no—
864#121—28no—
865#121—24no—
866#121—28no—
867#121—216no—
868#121—216no—
869#121—44no—
870#121—44no—
871#121—44no—
872#121—44no—
873#121—48no—
874#121—48no—
875#121—84no—
876#120—216no—
877#120—216no—
878#120—216no—
879#120—216no—
880#120—48no—
881#120—48no—
882#120—84no—
883#120—84no—
884C4×Q8—28no—
885C4×Q8—28no—
886C4×Q8—28no—
887C4×D4—28no—
888C4×D4—28no—
889C4×D4—216no—
890C4×D4—216no—
891C4×D4—216no—
892C4×D4—216no—
893C4×D4—28no—
894C4×D4—28no—
895C4×D4—216no—
896C4×D4—28no—
897C4×D4—216no—
898C4×D4—216no—
899C4×D4—28no—
900C4×D4—28no—
901C4×D4—48no—
902C4×D4—44no—
903C4×D4—44no—
904C4×D4—44no—
905C4×D4—42no—
906C4×D4—42no—
907C4×D4C2×D4116yes—
908C4×D4C2×D4132yes—
909C4×D4C2×D4116yes—
910#117—216no—
911#117—28no—
912#117—216no—
913#117—28no—
914#117—28no—
915#117—216no—
916#117—48no—
917#117—48no—
918#117—48no—
919#117—48no—
920C2×C4⋊C4—216no—
921C2×C4⋊C4—216no—
922C2×C4⋊C4—24no—
923C2×C4⋊C4—28no—
924C2×C4⋊C4—42no—
925C2×C4⋊C4—42no—
926C2×C4⋊C4—42no—
927C2×C4⋊C4—44no—
928C2×C4⋊C4—82no—
929C2×C4⋊C4C2×D418yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2412yes—
989C2×C22⋊C4—216no—
990C2×C22⋊C4—216no—
991C2×C22⋊C4—216no—
992C2×C22⋊C4—28no—
993C2×C22⋊C4—216no—
994C2×C22⋊C4—44no—
995C2×C22⋊C4—82no—
996C2×C22⋊C4—82no—
997C2×C22⋊C4C2×D4116yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C42—28no—
1064C2×C42—42no—
1065C2×C42—42no—
1066C2×C42—44no—
1067C2×C42C2×D418yes—
1068C2×C42C2414yes—
1069C2×C42C2414yes—
1070C2×C42C2414yes—
1071C2×C42C2412yes—
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2412yes—
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2412yes—
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080C2×C42C2414yes—
1081C2×C42C2414yes—
1082C2×C42C2412yes—
1083C2×C42C2411yescharacteristic
1084C2×C42C2411yescharacteristic
1085C2×C42C2412yes—
1086C2×C42C2412yes—
1087#95C2412yes—
1088#95C2414yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2414yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2414yes—
1102#95C2412yes—
1103#95C2414yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127C24—24no—
1128C24—24no—
1129C24—28no—
1130C24—42no—
1131C24—42no—
1132C24—42no—
1133C24—42no—
1134C24—44no—
1135C24—44no—
1136C24—44no—
1137C24—44no—
1138C24—44no—
1139C24—44no—
1140C24C22×D418yes—
1141C24C2512yes—
1142C24C2514yes—
1143C24C2512yes—
1144C24C2514yes—
1145C24C2511yescharacteristic
1146#41—432no—
1147#41—832no—
1148C2×Q8—24no—
1149C2×Q8—24no—
1150C2×Q8—28no—
1151C2×Q8—24no—
1152C2×Q8—24no—
1153C2×Q8—42no—
1154C2×Q8—44no—
1155C2×Q8—42no—
1156C2×Q8—44no—
1157C2×D4—28no—
1158C2×D4—28no—
1159C2×D4—24no—
1160C2×D4—28no—
1161C2×D4—24no—
1162C2×D4—24no—
1163C2×D4—28no—
1164C2×D4—24no—
1165C2×D4—24no—
1166C2×D4—28no—
1167C2×D4—24no—
1168C2×D4—28no—
1169C2×D4—28no—
1170C2×D4—28no—
1171C2×D4—28no—
1172C2×D4—24no—
1173C2×D4—24no—
1174C2×D4—28no—
1175C2×D4—22no—
1176C2×D4—24no—
1177C2×D4—22no—
1178C2×D4—24no—
1179C2×D4—24no—
1180C2×D4—24no—
1181C2×D4—24no—
1182C2×D4—416no—
1183C2×D4—41no—
1184C2×D4—42no—
1185C2×D4—42no—
1186C2×D4—44no—
1187C2×D4—44no—
1188C2×D4—41no—
1189C2×D4—44no—
1190C2×D4—44no—
1191C2×D4—44no—
1192C2×D4—41no—
1193C2×D4—42no—
1194C2×D4—44no—
1195C2×D4—44no—
1196C2×D4—42no—
1197C2×D4—44no—
1198C2×D4—44no—
1199C2×D4—44no—
1200C2×D4—44no—
1201C2×D4—42no—
1202C2×D4—42no—
1203C2×D4—44no—
1204C2×D4—42no—
1205C2×D4—44no—
1206C2×D4—44no—
1207C2×D4—41no—
1208C2×D4—42no—
1209C2×D4—42no—
1210C2×D4—44no—
1211C2×D4—44no—
1212C2×D4—44no—
1213C2×D4—44no—
1214C2×D4—42no—
1215C2×D4—44no—
1216C2×D4—44no—
1217C2×D4—42no—
1218C2×D4—42no—
1219C2×D4—432no—
1220C2×D4—832no—
1221C2×D4C22×D418yes—
1222C2×D4C22×D418yes—
1223C22×C4—24no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—24no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—28no—
1230C22×C4—22no—
1231C22×C4—28no—
1232C22×C4—28no—
1233C22×C4—24no—
1234C22×C4—24no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—24no—
1238C22×C4—24no—
1239C22×C4—24no—
1240C22×C4—24no—
1241C22×C4—24no—
1242C22×C4—24no—
1243C22×C4—28no—
1244C22×C4—28no—
1245C22×C4—28no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—44no—
1250C22×C4—44no—
1251C22×C4—432no—
1252C22×C4—44no—
1253C22×C4—44no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—44no—
1258C22×C4—44no—
1259C22×C4—41no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—42no—
1264C22×C4—42no—
1265C22×C4—42no—
1266C22×C4—42no—
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×C4C22×D414yes—
1278C22×C4C22×D414yes—
1279C22×C4C22×D418yes—
1280C22×C4C22×D414yes—
1281C22×C4C22×D4116yes—
1282C22×C4C22×D4116yes—
1283C22×C4H(5,𝔽2)14yes—
1284C22×C4C2511yescharacteristic
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2511yescharacteristic
1288C22×C4C2512yes—
1289C22×C4C2512yes—
1290C22×C4C2514yes—
1291C22×C4C2514yes—
1292C22×C4C2512yes—
1293C22×C4C2512yes—
1294C22×C4C2514yes—
1295C22×C4C2512yes—
1296C22×C4C2514yes—
1297C22×C4C2512yes—
1298C22×C4C2512yes—
1299C22×C4C2512yes—
1300C22×C4C2512yes—
1301C22×C4C2512yes—
1302C22×C4C2512yes—
1303C22×C4C2511yescharacteristic
1304C22×C4C2512yes—
1305C22×C4C2511yescharacteristic
1306C22×C4C2511yescharacteristic
1307C22×C4C2511yescharacteristic
1308C4⋊C4—28no—
1309C4⋊C4—24no—
1310C4⋊C4—24no—
1311C4⋊C4—28no—
1312C4⋊C4—24no—
1313C4⋊C4—28no—
1314C4⋊C4—28no—
1315C4⋊C4—28no—
1316C4⋊C4—28no—
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—24no—
1321C4⋊C4—28no—
1322C4⋊C4—28no—
1323C4⋊C4—28no—
1324C4⋊C4—24no—
1325C4⋊C4—24no—
1326C4⋊C4—28no—
1327C4⋊C4—24no—
1328C4⋊C4—24no—
1329C4⋊C4—24no—
1330C4⋊C4—24no—
1331C4⋊C4—24no—
1332C4⋊C4—22no—
1333C4⋊C4—24no—
1334C4⋊C4—22no—
1335C4⋊C4—22no—
1336C4⋊C4—24no—
1337C4⋊C4—22no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—42no—
1341C4⋊C4—42no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—42no—
1347C4⋊C4—41no—
1348C4⋊C4—41no—
1349C4⋊C4—41no—
1350C4⋊C4—41no—
1351C4⋊C4—42no—
1352C4⋊C4—44no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C4⋊C4—42no—
1363C4⋊C4—42no—
1364C4⋊C4C22×D414yes—
1365C4⋊C4C22×D414yes—
1366C4⋊C4C22×D418yes—
1367C22⋊C4—24no—
1368C22⋊C4—28no—
1369C22⋊C4—28no—
1370C22⋊C4—28no—
1371C22⋊C4—28no—
1372C22⋊C4—24no—
1373C22⋊C4—28no—
1374C22⋊C4—28no—
1375C22⋊C4—28no—
1376C22⋊C4—28no—
1377C22⋊C4—24no—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—28no—
1381C22⋊C4—28no—
1382C22⋊C4—28no—
1383C22⋊C4—28no—
1384C22⋊C4—28no—
1385C22⋊C4—24no—
1386C22⋊C4—24no—
1387C22⋊C4—28no—
1388C22⋊C4—24no—
1389C22⋊C4—24no—
1390C22⋊C4—28no—
1391C22⋊C4—24no—
1392C22⋊C4—28no—
1393C22⋊C4—28no—
1394C22⋊C4—24no—
1395C22⋊C4—28no—
1396C22⋊C4—24no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—42no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4—42no—
1408C22⋊C4—42no—
1409C22⋊C4—42no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—42no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—42no—
1422C22⋊C4—42no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—42no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4C22×D4116yes—
1431C22⋊C4C22×D4116yes—
1432C42—28no—
1433C42—28no—
1434C42—28no—
1435C42—24no—
1436C42—24no—
1437C42—24no—
1438C42—24no—
1439C42—24no—
1440C42—24no—
1441C42—24no—
1442C42—22no—
1443C42—22no—
1444C42—41no—
1445C42—41no—
1446C42—42no—
1447C42—44no—
1448C42—44no—
1449C42C22×D418yes—
1450C42C22×D418yes—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—24no—
1456C23—24no—
1457C23—24no—
1458C23—24no—
1459C23—24no—
1460C23—24no—
1461C23—216no—
1462C23—22no—
1463C23—24no—
1464C23—22no—
1465C23—22no—
1466C23—24no—
1467C23—22no—
1468C23—22no—
1469C23—22no—
1470C23—22no—
1471C23—22no—
1472C23—24no—
1473C23—24no—
1474C23—22no—
1475C23—24no—
1476C23—22no—
1477C23—24no—
1478C23—22no—
1479C23—22no—
1480C23—24no—
1481C23—22no—
1482C23—22no—
1483C23—48no—
1484C23—48no—
1485C23—416no—
1486C23—84no—
1487C23—84no—
1488C23—84no—
1489C23—84no—
1490C23—88no—
1491C23—88no—
1492C23—164no—
1493C23—164no—
1494C23—164no—
1495C23—164no—
1496C23C23×D418yes—
1497C23C23×D412yes—
1498C23C2×H(5,𝔽2)12yes—
1499C23#58512yes—
1500C23C2611yescharacteristic
1501Q8—48no—
1502Q8—84no—
1503Q8—88no—
1504D4—216no—
1505D4—48no—
1506D4—44no—
1507D4—416no—
1508D4—416no—
1509D4—48no—
1510D4—416no—
1511D4—48no—
1512D4—48no—
1513D4—84no—
1514D4—84no—
1515D4—82no—
1516D4—88no—
1517D4—88no—
1518D4—88no—
1519D4—88no—
1520D4—88no—
1521D4—84no—
1522D4—88no—
1523D4—162no—
1524D4—164no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—22no—
1539C2×C4—28no—
1540C2×C4—216no—
1541C2×C4—28no—
1542C2×C4—22no—
1543C2×C4—24no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—24no—
1547C2×C4—22no—
1548C2×C4—24no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—24no—
1555C2×C4—22no—
1556C2×C4—24no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—21no—
1560C2×C4—22no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—22no—
1564C2×C4—24no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—24no—
1572C2×C4—24no—
1573C2×C4—22no—
1574C2×C4—24no—
1575C2×C4—22no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—22no—
1579C2×C4—21no—
1580C2×C4—22no—
1581C2×C4—24no—
1582C2×C4—22no—
1583C2×C4—24no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—24no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—416no—
1591C2×C4—416no—
1592C2×C4—44no—
1593C2×C4—44no—
1594C2×C4—44no—
1595C2×C4—416no—
1596C2×C4—48no—
1597C2×C4—48no—
1598C2×C4—88no—
1599C2×C4—88no—
1600C2×C4—88no—
1601C2×C4—88no—
1602C2×C4—82no—
1603C2×C4—82no—
1604C2×C4—84no—
1605C2×C4—84no—
1606C2×C4—88no—
1607C2×C4C23×D414yes—
1608C2×C4C23×D414yes—
1609C2×C4C23×D412yes—
1610C2×C4C23×D414yes—
1611C2×C4C23×D414yes—
1612C2×C4C23×D412yes—
1613C2×C4C2×H(5,𝔽2)12yes—
1614C2×C4C2×H(5,𝔽2)12yes—
1615C2×C4#58512yes—
1616C2×C4#58512yes—
1617C22—22no—
1618C22—22no—
1619C22—22no—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—28no—
1624C22—28no—
1625C22—28no—
1626C22—44no—
1627C22—44no—
1628C22—44no—
1629C22—44no—
1630C22—42no—
1631C22—44no—
1632C22—42no—
1633C22—44no—
1634C22—42no—
1635C22—42no—
1636C22—42no—
1637C22—44no—
1638C22—42no—
1639C22—42no—
1640C22—42no—
1641C22—44no—
1642C22—42no—
1643C22—42no—
1644C22—44no—
1645C22—42no—
1646C22—44no—
1647C22—42no—
1648C22—42no—
1649C22—44no—
1650C22—42no—
1651C22—816no—
1652C22—1616no—
1653C22#349614yes—
1654C22C24×D411yescharacteristic
1655C22C22×H(5,𝔽2)11yescharacteristic
1656C22C2×#58511yescharacteristic
1657C22C2×#58511yescharacteristic
1658C22C2×#58511yescharacteristic
1659C22H(7,𝔽2)11yescharacteristic
1660C222−1+611yescharacteristic
1661C4—24no—
1662C4—24no—
1663C4—24no—
1664C4—24no—
1665C4—22no—
1666C4—22no—
1667C4—22no—
1668C4—42no—
1669C4—44no—
1670C4—42no—
1671C4—44no—
1672C4—42no—
1673C4—42no—
1674C4—42no—
1675C4—41no—
1676C4—42no—
1677C4—41no—
1678C4—42no—
1679C4—42no—
1680C4—44no—
1681C4—42no—
1682C4—42no—
1683C4—44no—
1684C4#344914yes—
1685C2—24no—
1686C2—48no—
1687C2—82no—
1688C2—84no—
1689C2—82no—
1690C2C2×#344911yescharacteristic
1691C2C2×#349611yescharacteristic
1692C2#6285311yescharacteristic
1693C2#6290111yescharacteristic
1694C2#6291011yescharacteristic
1695C2#6295511yescharacteristic
1696C2#6296411yescharacteristic
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×#3513C2semidirect
2. #42443C2semidirect
3. #42442C2semidirect
4. #42439C2semidirect
5. #42438C2semidirect
6. #40533C2semidirect
7. #40532C2semidirect
8. #40529C2semidirect
9. #40528C2semidirect
10. #39486C2semidirect
11. #39358C2semidirect
12. #38949C2semidirect
13. #38086C2semidirect
14. #37866C2semidirect
15. #37678C2semidirect
16. #37620C2semidirect
17. #37452C2semidirect
18. #36424C2semidirect
19. #36186C2semidirect
20. #36126C2semidirect
21. #35823C2semidirect
22. #35808C2semidirect
23. #35778C2semidirect
24. #35763C2semidirect
25. #35103C2semidirect
26. #35089C2semidirect
27. #34633C2semidirect
28. #34594C2semidirect
29. C2×#2354C2semidirect
32. C2×#554C22semidirect
34. C2×#553C22semidirect
35. C2×#552C22semidirect
36. C2×#551C22semidirect
37. C2×#551C22semidirect
38. C2×#547C22semidirect
40. C2×#546C22semidirect
41. C2×#546C22semidirect
45. C2×#539C22semidirect
46. C2×#538C22semidirect
48. C2×#532C22semidirect
49. C2×#529C22semidirect
50. C2×#529C22semidirect
51. C2×#525C22semidirect
52. C22×#123C22semidirect
53. C2×#520C22semidirect
54. C2×#518C22semidirect
56. C22×#117C22semidirect
57. #2857C22semidirect
60. #2854C22semidirect
61. #2854C22semidirect
62. #2850C22semidirect
63. #2823C22semidirect
64. #2823C22semidirect
65. #2814C22semidirect
66. #2814C22semidirect
67. #2813C22semidirect
68. #2813C22semidirect
69. #2724C22semidirect
70. #2718C22semidirect
71. #2710C22semidirect
72. #2706C22semidirect
73. #2703C22semidirect
74. #2701C22semidirect
75. #2701C22semidirect
76. #2700C22semidirect
77. #2699C22semidirect
78. #2698C22semidirect
79. #2697C22semidirect
80. #2689C22semidirect
81. #2687C22semidirect
82. #2685C22semidirect
84. #2682C22semidirect
85. #2681C22semidirect
86. #2680C22semidirect
89. #2678C22semidirect
90. #2678C22semidirect
91. #2674C22semidirect
92. #2672C22semidirect
93. #2670C22semidirect
94. #2669C22semidirect
95. #2664C22semidirect
96. #2664C22semidirect
97. #2662C22semidirect
98. #2662C22semidirect
99. #2659C22semidirect
101. #2639C22semidirect
102. #2630C22semidirect
103. #2630C22semidirect
104. #2630C22semidirect
105. #2630C22semidirect
106. #2629C22semidirect
107. #2629C22semidirect
108. #2629C22semidirect
109. #2627C22semidirect
110. #2626C22semidirect
111. #2621C22semidirect
112. #2620C22semidirect
113. #2620C22semidirect
114. #2620C22semidirect
115. #2620C22semidirect
116. #2620C22semidirect
117. #2619C22semidirect
119. #2618C22semidirect
120. #2618C22semidirect
121. #2618C22semidirect
122. #2618C22semidirect
123. #2618C22semidirect
124. #2618C22semidirect
125. #2618C22semidirect
127. #2617C22semidirect
128. #2617C22semidirect
129. #2617C22semidirect
130. #2601C22semidirect
131. #2601C22semidirect
132. #2582C22semidirect
133. #2579C22semidirect
134. #2579C22semidirect
135. #2566C22semidirect
136. #2565C22semidirect
137. #2560C22semidirect
138. #2558C22semidirect
139. #2556C22semidirect
140. #2554C22semidirect
141. #2552C22semidirect
142. #2551C22semidirect
143. #2550C22semidirect
144. #2545C22semidirect
145. #2544C22semidirect
146. #2542C22semidirect
147. #2541C22semidirect
148. #2540C22semidirect
149. #2538C22semidirect
150. #2538C22semidirect
151. #2537C22semidirect
152. #2534C22semidirect
153. #2534C22semidirect
154. #2519C22semidirect
155. #2512C22semidirect
156. #2506C22semidirect
157. #2498C22semidirect
158. #2498C22semidirect
159. #2492C22semidirect
160. #2491C22semidirect
161. #2490C22semidirect
162. #2489C22semidirect
163. #2480C22semidirect
164. #2478C22semidirect
165. #2476C22semidirect
166. #2474C22semidirect
167. #2472C22semidirect
168. #2470C22semidirect
169. #2468C22semidirect
170. #2466C22semidirect
171. #2464C22semidirect
172. #2461C22semidirect
173. #2461C22semidirect
174. #2459C22semidirect
175. #2457C22semidirect
176. #2456C22semidirect
177. #2455C22semidirect
178. #2452C22semidirect
179. #2447C22semidirect
180. #2447C22semidirect
183. #2445C22semidirect
184. #2435C22semidirect
186. #2432C22semidirect
188. #2430C22semidirect
189. #2430C22semidirect
190. #2424C22semidirect
192. #2422C22semidirect
194. #2420C22semidirect
195. #2418C22semidirect
196. #2417C22semidirect
197. #2417C22semidirect
198. #2417C22semidirect
200. #2416C22semidirect
201. #2416C22semidirect
202. #2413C22semidirect
203. #2413C22semidirect
204. #2413C22semidirect
205. #2413C22semidirect
206. #2412C22semidirect
207. #2412C22semidirect
208. #2411C22semidirect
209. #2411C22semidirect
210. #2411C22semidirect
211. #2411C22semidirect
213. #2410C22semidirect
215. #2408C22semidirect
217. #2407C22semidirect
218. #2396C22semidirect
219. #2396C22semidirect
220. #2392C22semidirect
221. #2392C22semidirect
222. #2392C22semidirect
223. #2392C22semidirect
224. #2392C22semidirect
225. #2392C22semidirect
226. #2367C22semidirect
227. #2366C22semidirect
228. #2365C22semidirect
229. #2363C22semidirect
230. #2362C22semidirect
231. #2361C22semidirect
232. #2360C22semidirect
233. #2354C22semidirect
234. #2354C22semidirect
235. #2354C22semidirect
236. #2354C22semidirect
237. #2354C22semidirect
238. #2354C22semidirect
239. #2354C22semidirect
240. #2352C22semidirect
241. D4×C4⋊C4C22semidirect
242. #2325C22semidirect
243. #2325C22semidirect
244. #2315C22semidirect
245. #2308C22semidirect
247. C4×#121C22semidirect
248. C4×#121C22semidirect
249. #2297C22semidirect
252. C2×#388C22semidirect
253. C2×#388C22semidirect
254. #2285C22semidirect
255. C2×#384C22semidirect
256. C2×#380C22semidirect
257. C2×C4×C4⋊C4C22semidirect
258. C2×C4×C4⋊C4C22semidirect
259. C2×C4×C4⋊C4C22semidirect
374. C2×C4×D4D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35132
#424432
#424422
#424392
#424382
#405332
#405322
#405292
#405282
#394862
#393582
#389492
#380862
#378662
#376782
#376202
#374522
#364242
#361862
#361262
#358232
#358082
#357782
#357632
#351032
#350892
#346332
#345942
C2×#23542