Finite Group Databasebeta

← #7711063

Subgroups — #7711063

Order 512.

7180 conjugacy classes of subgroups.

The subgroup lattice has 1737 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3562C212yesmaximal, complemented
2#59829C212yesmaximal, complemented
3#59818C212yesmaximal, complemented
4#59415C212yesmaximal, complemented
5#59414C212yesmaximal, complemented
6#45788C214yesmaximal, complemented
7#45785C212yesmaximal, complemented
8#45784C212yesmaximal, complemented
9#39957C212yesmaximal, complemented
10#39956C212yesmaximal, complemented
11#39454C212yesmaximal, complemented
12#39452C212yesmaximal, complemented
13#39440C214yesmaximal, complemented
14#39417C212yesmaximal, complemented
15#39416C212yesmaximal, complemented
16#39373C211yesmaximal, characteristic, complemented
17#39372C211yesmaximal, characteristic, complemented
18#39356C211yesmaximal, characteristic, complemented
19#39355C211yesmaximal, characteristic, complemented
20#38433C212yesmaximal, complemented
21#38432C212yesmaximal, complemented
22#37553C212yesmaximal, complemented
23#37132C212yesmaximal, complemented
24#37131C212yesmaximal, complemented
25#36631C211yesmaximal, characteristic, complemented
26#36631C211yesmaximal, characteristic, complemented
27#36430C212yesmaximal, complemented
28#36266C214yesmaximal, complemented
29#36218C212yesmaximal, complemented
30#35009C214yesmaximal, complemented
31C4×#532C211yesmaximal, characteristic, complemented
32#3562—232no—
33C2×#562C2214yescomplemented
34C2×#560C2214yescomplemented
35C2×#559C2212yes—
36C2×#556C2212yescomplemented
37C2×#553C2214yescomplemented
38C2×#551C2214yescomplemented
39C2×#550C2212yes—
40C2×#548C2212yes—
41C2×#548C2212yescomplemented
42C2×#548C2212yescomplemented
43C2×#547C2212yes—
44C2×#546C2212yes—
45C2×#546C2212yescomplemented
46C2×#546C2212yescomplemented
47C2×#541C2212yescomplemented
48C2×#540C2212yes—
49C2×#540C2214yescomplemented
50C2×#539C2214yescomplemented
51C2×#538C2214yescomplemented
52C2×#538C2214yescomplemented
53C2×#536C2212yescomplemented
54C2×#535C2212yes—
55C2×#532C2211yescharacteristic
56C2×#529C2212yescomplemented
57C2×#529C2212yescomplemented
58C2×C4×#41C2212yescomplemented
59#2861C2212yescomplemented
60#2861C2212yescomplemented
61#2860C2211yescharacteristic
62#2860C2212yescomplemented
63#2860C2211yescharacteristic, complemented
64#2860C2212yescomplemented
65#2860C2212yescomplemented
66#2859C2211yescharacteristic, complemented
67#2859C2211yescharacteristic, complemented
68#2858C2211yescharacteristic
69#2858C2211yescharacteristic
70#2857C2211yescharacteristic, complemented
71#2857C2211yescharacteristic, complemented
72#2856C2211yescharacteristic
73#2856C2211yescharacteristic
74#2854C2211yescharacteristic
75#2854C2214yes—
76#2854C2212yescomplemented
77#2854C2211yescharacteristic, complemented
78#2854C2212yescomplemented
79#2854C2212yescomplemented
80#2850C2212yescomplemented
81#2850C2212yescomplemented
82#2850C2214yescomplemented
83#2814C2214yescomplemented
84#2813C2214yescomplemented
85#2727C2212yes—
86#2727C2212yes—
87#2726C2212yescomplemented
88#2726C2212yescomplemented
89#2724C2212yescomplemented
90#2724C2212yescomplemented
91#2718C2214yescomplemented
92#2717C2214yescomplemented
93#2708C2214yescomplemented
94#2707C2214yescomplemented
95#2706C2214yescomplemented
96#2705C2214yescomplemented
97#2704C2214yescomplemented
98#2702C2214yescomplemented
99#2701C2214yescomplemented
100#2699C2214yescomplemented
101#2698C2214yescomplemented
102#2697C2214yescomplemented
103#2686C2214yescomplemented
104#2683C2212yescomplemented
105#2683C2212yescomplemented
106#2682C2212yes—
107#2682C2212yes—
108#2682C2212yescomplemented
109#2682C2212yescomplemented
110#2682C2212yescomplemented
111#2682C2212yescomplemented
112#2680C2214yescomplemented
113#2679C2212yes—
114#2679C2212yes—
115#2678C2214yescomplemented
116#2674C2214yescomplemented
117#2673C2214yescomplemented
118#2672C2214yescomplemented
119#2671C2214yescomplemented
120#2671C2214yescomplemented
121#2670C2214yescomplemented
122#2669C2214yes—
123#2669C2214yescomplemented
124#2668C2214yescomplemented
125#2664C2214yescomplemented
126#2663C2214yescomplemented
127#2662C2214yescomplemented
128#2661C2214yescomplemented
129#2630C2214yescomplemented
130#2630C2214yescomplemented
131#2629C2212yescomplemented
132#2629C2212yescomplemented
133#2620C2212yes—
134#2620C2212yescomplemented
135#2602C2214yescomplemented
136#2602C2214yescomplemented
137#2601C2214yescomplemented
138#2601C2214yescomplemented
139#2583C2214yescomplemented
140#2581C2212yescomplemented
141#2580C2212yescomplemented
142#2560C2214yescomplemented
143#2559C2214yescomplemented
144#2558C2214yescomplemented
145#2557C2214yescomplemented
146#2556C2214yescomplemented
147#2555C2214yes—
148#2554C2214yescomplemented
149#2553C2214yescomplemented
150#2549C2214yescomplemented
151#2545C2212yescomplemented
152#2544C2212yes—
153#2544C2214yescomplemented
154#2543C2214yes—
155#2543C2214yescomplemented
156#2539C2214yescomplemented
157#2539C2214yescomplemented
158#2536C2212yes—
159#2536C2212yescomplemented
160#2535C2212yes—
161#2535C2214yescomplemented
162#2535C2212yescomplemented
163#2534C2214yescomplemented
164#2534C2214yescomplemented
165#2521C2214yescomplemented
166#2521C2214yescomplemented
167#2519C2214yescomplemented
168#2519C2214yescomplemented
169#2488C2214yescomplemented
170#2474C2214yescomplemented
171#2472C2214yes—
172#2472C2214yescomplemented
173#2470C2214yescomplemented
174#2468C2214yescomplemented
175#2466C2214yescomplemented
176#2464C2214yes—
177#2464C2214yescomplemented
178#2464C2214yescomplemented
179#2461C2214yescomplemented
180#2461C2214yescomplemented
181#2456C2214yescomplemented
182#2448C2212yescomplemented
183#2447C2212yescomplemented
184#2446C2212yescomplemented
185#2445C2212yes—
186#2434C2212yescomplemented
187#2433C2212yes—
188#2432C2212yes—
189#2431C2212yes—
190#2429C2212yescomplemented
191#2428C2212yes—
192#2428C2214yescomplemented
193#2427C2212yescomplemented
194#2427C2214yescomplemented
195#2426C2212yes—
196#2425C2214yescomplemented
197#2425C2214yescomplemented
198#2425C2214yescomplemented
199#2425C2214yescomplemented
200#2424C2214yes—
201#2424C2214yes—
202#2424C2214yes—
203#2424C2214yescomplemented
204#2423C2212yescomplemented
205#2423C2212yescomplemented
206#2422C2212yescomplemented
207#2422C2212yescomplemented
208#2418C2214yescomplemented
209#2415C2214yescomplemented
210#2415C2212yescomplemented
211#2415C2212yescomplemented
212#2414C2212yes—
213#2414C2214yescomplemented
214#2414C2212yescomplemented
215#2413C2214yescomplemented
216#2411C2214yes—
217#2409C2212yescomplemented
218#2408C2212yescomplemented
219#2407C2212yes—
220#2407C2212yes—
221#2359C2214yescomplemented
222#2359C2214yescomplemented
223#2358C2214yescomplemented
224#2358C2214yescomplemented
225#2351C2212yescomplemented
226#2349C2212yescomplemented
227#2341C2212yescomplemented
228Q8×C22⋊C4C2212yescomplemented
229#2339C2212yes—
230D4×C22⋊C4C2212yescomplemented
231#2322C2214yescomplemented
232#2321C2214yescomplemented
233C4×C4⋊Q8C2211yescharacteristic, complemented
234C4×C4⋊Q8C2211yescharacteristic, complemented
235C4×C4⋊Q8C2211yescharacteristic, complemented
236C4×C4⋊Q8C2211yescharacteristic, complemented
237C4×#127C2211yescharacteristic
238C4×#127C2211yescharacteristic
239C4×#127C2211yescharacteristic
240C4×#127C2211yescharacteristic
241C4×#124C2212yescomplemented
242C4×#124C2212yescomplemented
243C4×#124C2212yescomplemented
244C4×#124C2212yescomplemented
245C4×#121C2211yescharacteristic
246C4×#121C2212yescomplemented
247C4×#121C2212yescomplemented
248C4×#121C2212yescomplemented
249C4×#121C2212yescomplemented
250C4×#121C2211yescharacteristic, complemented
251C4×#121C2212yescomplemented
252C4×#121C2214yescomplemented
253C4×#121C2212yescomplemented
254C4×#121C2212yescomplemented
255#2297C2212yescomplemented
256#2293C2211yescharacteristic
257#2293C2212yescomplemented
258#2293C2212yescomplemented
259#2293C2212yescomplemented
260#2293C2211yescharacteristic, complemented
261#2293C2212yescomplemented
262#2293C2212yescomplemented
263C2×#388C2214yescomplemented
264#2285C2211yescharacteristic, complemented
265C42×D4C2212yescomplemented
266C42×D4C2212yescomplemented
267C2×C43C2211yescharacteristic, complemented
268C22×#41C2312yes—
269C22×#41C2312yes—
270C22×#41C2312yes—
271C23×Q8C2312yes—
272C23×D4C2312yes—
273#562—232no—
274#560—232no—
275#559—216no—
276#556—216no—
277#553—232no—
278#551—232no—
279#550—216no—
280#548—216no—
281#548—216no—
282#548—48no—
283#547—216no—
284#546—216no—
285#546—216no—
286#546—48no—
287#541—216no—
288#540—216no—
289#540—232no—
290#539—232no—
291#538—232no—
292#538—232no—
293#536—216no—
294#535—216no—
295#532D4116yescomplemented
296C2×C4⋊Q8C2312yes—
297C2×C4⋊Q8C2311yescharacteristic
298C2×C4⋊Q8C2311yescharacteristic
299C2×C4⋊Q8C2311yescharacteristic
300C2×#127C2314yes—
301C2×#127C2312yes—
302C2×#127C2311yescharacteristic
303C2×#127C2311yescharacteristic
304C2×#127C2311yescharacteristic
305#529—216no—
306#529—216no—
307C2×#126C2314yes—
308C2×#126C2312yes—
309C2×#126C2312yes—
310C2×#126C2314yes—
311C2×#126C2314yes—
312C2×#126C2314yes—
313C2×#126C2314yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#125C2314yes—
317C2×#125C2314yes—
318C2×#124C2312yes—
319C2×#124C2312yes—
320C2×#124C2312yes—
321C2×#124C2314yes—
322C2×#124C2312yes—
323C2×#124C2312yes—
324C2×#124C2314yes—
325C2×#124C2314yes—
326C2×#124C2312yes—
327C2×#124C2314yes—
328C2×#124C2312yes—
329C2×#123C2312yes—
330C2×#123C2314yes—
331C2×#123C2314yes—
332C2×#123C2312yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×#123C2314yes—
345C2×#123C2314yes—
346C2×C22⋊Q8C2314yes—
347C2×C22⋊Q8C2314yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2314yes—
353C2×C22⋊Q8C2314yes—
354C2×C22⋊Q8C2314yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2314yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2314yes—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2314yes—
364C2×#121C2314yes—
365C2×#121C2314yes—
366C2×#121C2314yes—
367C2×#121C2314yes—
368C2×#121C2314yes—
369C2×#121C2314yes—
370C2×#121C2314yes—
371C2×#121C2314yes—
372C2×#121C2314yes—
373C2×#121C2311yescharacteristic
374C2×#121C2314yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2311yescharacteristic
379C2×#121C2312yes—
380C2×#121C2312yes—
381C2×#121C2314yes—
382C2×#121C2314yes—
383C2×#121C2312yes—
384C2×#121C2312yes—
385C2×#120C2314yes—
386C2×#120C2314yes—
387C2×#120C2314yes—
388C2×#120C2314yes—
389C2×#120C2314yes—
390C2×#120C2314yes—
391C2×#120C2314yes—
392C2×#120C2314yes—
393C4×#41—48no—
394C2×C4×Q8C2312yes—
395C2×C4×Q8C2312yes—
396C2×C4×Q8C2312yes—
397C2×C4×Q8C2312yes—
398C2×C4×Q8C2312yes—
399C2×C4×Q8C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2311yescharacteristic
404C2×C4×D4C2311yescharacteristic
405C2×C4×D4C2314yes—
406C2×C4×D4C2314yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2314yes—
410C2×C4×D4C2314yes—
411C2×C4×D4C2314yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2314yes—
423C2×C4×D4C2314yes—
424C2×C4×D4C2314yes—
425C2×C4×D4C2312yes—
426C2×C4×D4C2312yes—
427C2×#117C2314yes—
428C2×#117C2314yes—
429C2×#117C2312yes—
430C2×#117C2312yes—
431C2×#117C2314yes—
432C2×#117C2312yes—
433C22×C4⋊C4C2314yes—
434C22×C22⋊C4C2314yes—
435C22×C22⋊C4C2314yes—
436C22×C22⋊C4C2314yes—
437C22×C22⋊C4C2314yes—
438C22×C42C2311yescharacteristic
439C22×C42C2311yescharacteristic
440C22×C42C2314yes—
441C22×C42C2311yescharacteristic
442C22×C42C2311yescharacteristic
443C22×C42C2311yescharacteristic
444C22×C42C2311yescharacteristic
445C22×C42C2311yescharacteristic
446#400C2314yes—
447#400C2314yes—
448#399C2314yes—
449#399C2314yes—
450#399C2314yes—
451#399C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2314yes—
458#398C2314yes—
459#398C2314yes—
460#398C2314yes—
461#398C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
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#395C2314yes—
485#395C2314yes—
486#395C2314yes—
487#395C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#393C2314yes—
513#393C2314yes—
514#392C2314yes—
515#392C2314yes—
516#392C2314yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#392C2314yes—
521#392C2314yes—
522#392C2314yes—
523#392C2314yes—
524#392C2314yes—
525#392C2314yes—
526#391C2314yes—
527#391C2312yes—
528#391C2312yes—
529#391C2312yes—
530#391C2312yes—
531#391C2312yes—
532#391C2312yes—
533#391C2314yes—
534#391C2312yes—
535#391C2312yes—
536#390C2314yes—
537#390C2312yes—
538#390C2312yes—
539#390C2311yescharacteristic
540#390C2312yes—
541#390C2312yes—
542#390C2311yescharacteristic
543#390C2312yes—
544#390C2312yes—
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2312yes—
549#390C2312yes—
550#390C2312yes—
551#390C2314yes—
552#390C2312yes—
553#390C2312yes—
554#390C2314yes—
555#390C2314yes—
556#390C2311yescharacteristic
557#390C2312yes—
558#390C2312yes—
559#390C2312yes—
560#390C2311yescharacteristic
561#390C2312yes—
562#390C2311yescharacteristic
563#390C2312yes—
564#390C2311yescharacteristic
565#390C2312yes—
566#390C2312yes—
567#390C2314yes—
568#390C2312yes—
569#390C2311yescharacteristic
570#390C2311yescharacteristic
571#390C2312yes—
572#390C2312yes—
573#389C2311yescharacteristic
574#389C2311yescharacteristic
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2314yes—
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2314yes—
591#389C2311yescharacteristic
592#389C2314yes—
593#389C2312yes—
594#389C2311yescharacteristic
595#389C2312yes—
596#389C2312yes—
597#389C2311yescharacteristic
598#389C2312yes—
599#389C2311yescharacteristic
600#389C2311yescharacteristic
601#389C2311yescharacteristic
602#389C2312yes—
603#389C2312yes—
604#389C2314yes—
605#389C2314yes—
606#388C2312yes—
607#388C2314yes—
608#388C2314yes—
609#388C2312yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2312yes—
614#388C2314yes—
615#388C2314yes—
616#388C2312yes—
617#388C2312yes—
618#388C2314yes—
619#388C2312yes—
620#388C2312yes—
621#388C2312yes—
622#388C2312yes—
623#388C2312yes—
624#388C2314yes—
625#388C2314yes—
626#388C2312yes—
627#388C2312yes—
628#388C2314yes—
629#388C2312yes—
630#388C2314yes—
631#388C2312yes—
632#388C2314yes—
633#388C2312yes—
634#388C2314yes—
635#388C2312yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2312yes—
663#386C2312yes—
664#386C2314yes—
665#386C2312yes—
666#386C2314yes—
667#386C2312yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#384C2311yescharacteristic
697#384C2311yescharacteristic
698#384C2311yescharacteristic
699#384C2311yescharacteristic
700#384C2311yescharacteristic
701#384C2311yescharacteristic
702#382C2312yes—
703#382C2312yes—
704#382C2312yes—
705#382C2314yes—
706#381C2314yes—
707#381C2314yes—
708#380C2312yes—
709#380C2312yes—
710#380C2312yes—
711#380C2314yes—
712#380C2312yes—
713#380C2314yes—
714#380C2311yescharacteristic
715#380C2314yes—
716#380C2312yes—
717#380C2312yes—
718#380C2311yescharacteristic
719#380C2312yes—
720#380C2312yes—
721#380C2314yes—
722#380C2312yes—
723#379C2314yes—
724#379C2314yes—
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2311yescharacteristic
727C4×C4⋊C4C2311yescharacteristic
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2312yes—
737C4×C22⋊C4C2314yes—
738C4×C22⋊C4C2314yes—
739C4×C22⋊C4C2314yes—
740C4×C22⋊C4C2312yes—
741C4×C22⋊C4C2312yes—
742C4×C22⋊C4C2314yes—
743C4×C22⋊C4C2314yes—
744C4×C22⋊C4C2314yes—
745C4×C22⋊C4C2314yes—
746C4×C22⋊C4C2312yes—
747C4×C22⋊C4C2312yes—
748C4×C22⋊C4C2314yes—
749C4×C22⋊C4C2314yes—
750C4×C22⋊C4C2314yes—
751C2×#95C2314yes—
752C2×#95C2314yes—
753C43C2311yescharacteristic
754C43C2311yescharacteristic
755C43C2311yescharacteristic
756C43C2311yescharacteristic
757C43C2311yescharacteristic
758C43C2311yescharacteristic
759C43C2311yescharacteristic
760C43C2311yescharacteristic
761C25C2414yes—
762C2×#41—28no—
763C2×#41—28no—
764C2×#41—44no—
765C2×#41—44no—
766C2×#41—44no—
767C2×#41—44no—
768C2×#41—44no—
769C2×#41—44no—
770C2×#41C2×D4116yes—
771C22×Q8—28no—
772C22×Q8—44no—
773C22×Q8—44no—
774C22×Q8C2412yes—
775C22×Q8C2412yes—
776C22×Q8C2412yes—
777C22×Q8C2414yes—
778C22×D4—28no—
779C22×D4—44no—
780C22×D4—44no—
781C22×D4C2412yes—
782C22×D4C2412yes—
783C22×D4C2411yescharacteristic
784C22×D4C2412yes—
785C22×D4C2414yes—
786C22×D4C2412yes—
787C22×D4C2414yes—
788C22×D4C2412yes—
789C22×D4C2412yes—
790C22×D4C2412yes—
791C22×D4C2414yes—
792C22×D4C2414yes—
793C22×D4C2414yes—
794C22×D4C2412yes—
795C22×D4C2411yescharacteristic
796C22×D4C2414yes—
797C22×D4C2414yes—
798C22×D4C2414yes—
799C22×D4C2414yes—
800C22×D4C2414yes—
801C22×D4C2412yes—
802C22×D4C2412yes—
803C22×D4C2414yes—
804C23×C4C2412yes—
805C23×C4C2412yes—
806C23×C4C2411yescharacteristic
807C23×C4C2411yescharacteristic
808C23×C4C2411yescharacteristic
809C23×C4C2414yes—
810C23×C4C2414yes—
811C23×C4C2414yes—
812C23×C4C2414yes—
813C23×C4C2414yes—
814C23×C4C2414yes—
815C23×C4C2414yes—
816C23×C4C2411yescharacteristic
817C23×C4C2414yes—
818C23×C4C2411yescharacteristic
819C23×C4C2414yes—
820C23×C4C2411yescharacteristic
821C23×C4C2411yescharacteristic
822C4⋊Q8—28no—
823C4⋊Q8—42no—
824C4⋊Q8—42no—
825C4⋊Q8C2×D418yes—
826#127—28no—
827#127—216no—
828#127—42no—
829#127—42no—
830#127C2×D418yes—
831#126—216no—
832#126—216no—
833#126—216no—
834#126—216no—
835#126—216no—
836#126—28no—
837#126—28no—
838#125—216no—
839#125—216no—
840#125—28no—
841#125—28no—
842#124—28no—
843#124—28no—
844#124—216no—
845#124—216no—
846#124—216no—
847#124—28no—
848#124—28no—
849#124—28no—
850#124—44no—
851#124—48no—
852#124C2×D4116yes—
853#123—216no—
854#123—216no—
855#123—216no—
856#123—28no—
857#123—28no—
858#123—216no—
859#123—216no—
860#123—216no—
861#123—216no—
862#123—216no—
863#123—216no—
864#123—216no—
865#123—216no—
866#123—48no—
867#123—48no—
868#123—48no—
869#123—48no—
870C22⋊Q8—28no—
871C22⋊Q8—28no—
872C22⋊Q8—28no—
873C22⋊Q8—28no—
874C22⋊Q8—216no—
875C22⋊Q8—216no—
876C22⋊Q8—216no—
877C22⋊Q8—216no—
878C22⋊Q8—216no—
879C22⋊Q8—48no—
880C22⋊Q8—44no—
881C22⋊Q8—44no—
882#121—216no—
883#121—216no—
884#121—216no—
885#121—216no—
886#121—216no—
887#121—28no—
888#121—216no—
889#121—28no—
890#121—216no—
891#121—216no—
892#121—28no—
893#121—28no—
894#121—216no—
895#121—216no—
896#121—216no—
897#121—42no—
898#121—48no—
899#121—44no—
900#121—44no—
901#121—42no—
902#121—48no—
903#121—48no—
904#121—44no—
905#121—44no—
906#121—44no—
907#121C2×D4116yes—
908#121C2×D4116yes—
909#120—216no—
910#120—216no—
911#120—216no—
912#120—216no—
913#120—48no—
914#120—48no—
915#120—48no—
916#120—48no—
917C4×Q8—28no—
918C4×Q8—28no—
919C4×Q8—28no—
920C4×Q8—28no—
921C4×Q8—28no—
922C4×Q8—44no—
923C4×D4—28no—
924C4×D4—28no—
925C4×D4—216no—
926C4×D4—28no—
927C4×D4—28no—
928C4×D4—216no—
929C4×D4—216no—
930C4×D4—216no—
931C4×D4—216no—
932C4×D4—28no—
933C4×D4—28no—
934C4×D4—28no—
935C4×D4—24no—
936C4×D4—24no—
937C4×D4—44no—
938C4×D4—44no—
939C4×D4—44no—
940C4×D4—44no—
941C4×D4—48no—
942C4×D4—44no—
943C4×D4—44no—
944C4×D4—44no—
945C4×D4—44no—
946C4×D4—48no—
947C4×D4—48no—
948C4×D4C2×D4116yes—
949C4×D4C2×D4116yes—
950#117—216no—
951#117—28no—
952#117—28no—
953#117—216no—
954#117—48no—
955#117—44no—
956C2×C4⋊C4—216no—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C22⋊C4—216no—
1011C2×C22⋊C4—216no—
1012C2×C22⋊C4—48no—
1013C2×C22⋊C4—48no—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C42—24no—
1079C2×C42—48no—
1080C2×C42—42no—
1081C2×C42—42no—
1082C2×C42—42no—
1083C2×C42—42no—
1084C2×C42—42no—
1085C2×C42C2×D418yes—
1086C2×C42C2411yescharacteristic
1087C2×C42C2414yes—
1088C2×C42C2412yes—
1089C2×C42C2412yes—
1090C2×C42C2414yes—
1091C2×C42C2411yescharacteristic
1092C2×C42C2414yes—
1093C2×C42C2414yes—
1094C2×C42C2411yescharacteristic
1095C2×C42C2411yescharacteristic
1096C2×C42C2411yescharacteristic
1097C2×C42C2411yescharacteristic
1098C2×C42C2411yescharacteristic
1099C2×C42C2411yescharacteristic
1100C2×C42C2411yescharacteristic
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104C2×C42C2411yescharacteristic
1105C2×C42C2414yes—
1106C2×C42C2414yes—
1107C2×C42C2411yescharacteristic
1108C2×C42C2411yescharacteristic
1109C2×C42C2411yescharacteristic
1110C2×C42C2411yescharacteristic
1111C2×C42C2411yescharacteristic
1112C2×C42C2411yescharacteristic
1113C2×C42C2411yescharacteristic
1114C2×C42C2411yescharacteristic
1115C2×C42C2411yescharacteristic
1116C2×C42C2411yescharacteristic
1117C2×C42C2411yescharacteristic
1118C2×C42C2411yescharacteristic
1119C2×C42C2411yescharacteristic
1120C2×C42C2411yescharacteristic
1121C2×C42C2411yescharacteristic
1122#95C2412yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2412yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158C24—28no—
1159C24—44no—
1160C24—44no—
1161C24—44no—
1162C24—44no—
1163C24—44no—
1164C24—44no—
1165C24C2512yes—
1166C24C2514yes—
1167C24C2512yes—
1168C24C2514yes—
1169C24C2511yescharacteristic
1170#41—432no—
1171#41—816no—
1172#41—816no—
1173C2×Q8—24no—
1174C2×Q8—24no—
1175C2×Q8—28no—
1176C2×Q8—24no—
1177C2×Q8—24no—
1178C2×Q8—24no—
1179C2×Q8—24no—
1180C2×Q8—44no—
1181C2×Q8—42no—
1182C2×Q8—42no—
1183C2×Q8—44no—
1184C2×Q8—816no—
1185C2×Q8C22×D418yes—
1186C2×D4—24no—
1187C2×D4—28no—
1188C2×D4—28no—
1189C2×D4—28no—
1190C2×D4—28no—
1191C2×D4—28no—
1192C2×D4—24no—
1193C2×D4—28no—
1194C2×D4—28no—
1195C2×D4—24no—
1196C2×D4—24no—
1197C2×D4—28no—
1198C2×D4—24no—
1199C2×D4—24no—
1200C2×D4—22no—
1201C2×D4—22no—
1202C2×D4—24no—
1203C2×D4—24no—
1204C2×D4—24no—
1205C2×D4—24no—
1206C2×D4—24no—
1207C2×D4—44no—
1208C2×D4—42no—
1209C2×D4—42no—
1210C2×D4—42no—
1211C2×D4—42no—
1212C2×D4—44no—
1213C2×D4—44no—
1214C2×D4—42no—
1215C2×D4—42no—
1216C2×D4—44no—
1217C2×D4—44no—
1218C2×D4—44no—
1219C2×D4—44no—
1220C2×D4—44no—
1221C2×D4—44no—
1222C2×D4—44no—
1223C2×D4—42no—
1224C2×D4—41no—
1225C2×D4—42no—
1226C2×D4—41no—
1227C2×D4—42no—
1228C2×D4—42no—
1229C2×D4—44no—
1230C2×D4—44no—
1231C2×D4—42no—
1232C2×D4—44no—
1233C2×D4—42no—
1234C2×D4—44no—
1235C2×D4—44no—
1236C2×D4—44no—
1237C2×D4—44no—
1238C2×D4—44no—
1239C2×D4—42no—
1240C2×D4—41no—
1241C2×D4—42no—
1242C2×D4—42no—
1243C2×D4—41no—
1244C2×D4—42no—
1245C2×D4—44no—
1246C2×D4—44no—
1247C2×D4—44no—
1248C2×D4—44no—
1249C2×D4—44no—
1250C2×D4—44no—
1251C2×D4—816no—
1252C2×D4C22×D418yes—
1253C2×D4C22×D418yes—
1254C2×D4C22×D418yes—
1255C2×D4C22×D4116yes—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—28no—
1259C22×C4—28no—
1260C22×C4—28no—
1261C22×C4—24no—
1262C22×C4—24no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—24no—
1266C22×C4—24no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—22no—
1271C22×C4—24no—
1272C22×C4—24no—
1273C22×C4—28no—
1274C22×C4—28no—
1275C22×C4—28no—
1276C22×C4—28no—
1277C22×C4—28no—
1278C22×C4—44no—
1279C22×C4—41no—
1280C22×C4—41no—
1281C22×C4—41no—
1282C22×C4—41no—
1283C22×C4—41no—
1284C22×C4—41no—
1285C22×C4—41no—
1286C22×C4—41no—
1287C22×C4—41no—
1288C22×C4—41no—
1289C22×C4—44no—
1290C22×C4—44no—
1291C22×C4—44no—
1292C22×C4—44no—
1293C22×C4—44no—
1294C22×C4—44no—
1295C22×C4—44no—
1296C22×C4—44no—
1297C22×C4—44no—
1298C22×C4—44no—
1299C22×C4—44no—
1300C22×C4—44no—
1301C22×C4—44no—
1302C22×C4—44no—
1303C22×C4—44no—
1304C22×C4—44no—
1305C22×C4—44no—
1306C22×C4C22×D414yes—
1307C22×C4C22×D414yes—
1308C22×C4C22×D414yes—
1309C22×C4C22×D4116yes—
1310C22×C4C2511yescharacteristic
1311C22×C4C2514yes—
1312C22×C4C2514yes—
1313C22×C4C2511yescharacteristic
1314C22×C4C2512yes—
1315C22×C4C2512yes—
1316C22×C4C2514yes—
1317C22×C4C2512yes—
1318C22×C4C2512yes—
1319C22×C4C2514yes—
1320C22×C4C2514yes—
1321C22×C4C2512yes—
1322C22×C4C2512yes—
1323C22×C4C2511yescharacteristic
1324C22×C4C2511yescharacteristic
1325C22×C4C2514yes—
1326C22×C4C2511yescharacteristic
1327C22×C4C2511yescharacteristic
1328C22×C4C2511yescharacteristic
1329C22×C4C2511yescharacteristic
1330C22×C4C2511yescharacteristic
1331C22×C4C2511yescharacteristic
1332C22×C4C2511yescharacteristic
1333C22×C4C2511yescharacteristic
1334C22×C4C2511yescharacteristic
1335C22×C4C2511yescharacteristic
1336C4⋊C4—24no—
1337C4⋊C4—28no—
1338C4⋊C4—28no—
1339C4⋊C4—28no—
1340C4⋊C4—24no—
1341C4⋊C4—24no—
1342C4⋊C4—24no—
1343C4⋊C4—28no—
1344C4⋊C4—24no—
1345C4⋊C4—24no—
1346C4⋊C4—28no—
1347C4⋊C4—24no—
1348C4⋊C4—24no—
1349C4⋊C4—24no—
1350C4⋊C4—24no—
1351C4⋊C4—28no—
1352C4⋊C4—28no—
1353C4⋊C4—24no—
1354C4⋊C4—28no—
1355C4⋊C4—28no—
1356C4⋊C4—28no—
1357C4⋊C4—24no—
1358C4⋊C4—24no—
1359C4⋊C4—28no—
1360C4⋊C4—24no—
1361C4⋊C4—22no—
1362C4⋊C4—22no—
1363C4⋊C4—24no—
1364C4⋊C4—24no—
1365C4⋊C4—24no—
1366C4⋊C4—44no—
1367C4⋊C4—42no—
1368C4⋊C4—42no—
1369C4⋊C4—42no—
1370C4⋊C4—42no—
1371C4⋊C4—42no—
1372C4⋊C4—42no—
1373C4⋊C4—44no—
1374C4⋊C4—41no—
1375C4⋊C4—42no—
1376C4⋊C4—42no—
1377C4⋊C4—41no—
1378C4⋊C4—44no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—41no—
1384C4⋊C4—41no—
1385C4⋊C4—42no—
1386C4⋊C4—42no—
1387C4⋊C4C22×D418yes—
1388C4⋊C4C22×D418yes—
1389C22⋊C4—28no—
1390C22⋊C4—28no—
1391C22⋊C4—28no—
1392C22⋊C4—28no—
1393C22⋊C4—24no—
1394C22⋊C4—28no—
1395C22⋊C4—28no—
1396C22⋊C4—24no—
1397C22⋊C4—28no—
1398C22⋊C4—24no—
1399C22⋊C4—24no—
1400C22⋊C4—28no—
1401C22⋊C4—28no—
1402C22⋊C4—28no—
1403C22⋊C4—28no—
1404C22⋊C4—24no—
1405C22⋊C4—24no—
1406C22⋊C4—28no—
1407C22⋊C4—24no—
1408C22⋊C4—24no—
1409C22⋊C4—24no—
1410C22⋊C4—24no—
1411C22⋊C4—28no—
1412C22⋊C4—28no—
1413C22⋊C4—28no—
1414C22⋊C4—24no—
1415C22⋊C4—28no—
1416C22⋊C4—28no—
1417C22⋊C4—24no—
1418C22⋊C4—28no—
1419C22⋊C4—24no—
1420C22⋊C4—28no—
1421C22⋊C4—28no—
1422C22⋊C4—28no—
1423C22⋊C4—28no—
1424C22⋊C4—24no—
1425C22⋊C4—24no—
1426C22⋊C4—28no—
1427C22⋊C4—24no—
1428C22⋊C4—24no—
1429C22⋊C4—24no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—42no—
1439C22⋊C4—42no—
1440C22⋊C4—44no—
1441C22⋊C4—44no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—42no—
1450C22⋊C4—42no—
1451C22⋊C4C22×D4116yes—
1452C22⋊C4C22×D4116yes—
1453C42—28no—
1454C42—24no—
1455C42—24no—
1456C42—28no—
1457C42—28no—
1458C42—22no—
1459C42—22no—
1460C42—22no—
1461C42—28no—
1462C42—22no—
1463C42—22no—
1464C42—22no—
1465C42—22no—
1466C42—22no—
1467C42—22no—
1468C42—22no—
1469C42—22no—
1470C42—22no—
1471C42—22no—
1472C42—41no—
1473C42—41no—
1474C42—41no—
1475C42—41no—
1476C42—41no—
1477C42—41no—
1478C42—41no—
1479C42—41no—
1480C42—41no—
1481C42—41no—
1482C42—44no—
1483C42—44no—
1484C42C22×D414yes—
1485C42C22×D414yes—
1486C42C22×D414yes—
1487C42C22×D414yes—
1488C42H(5,𝔽2)14yes—
1489C23—24no—
1490C23—21no—
1491C23—24no—
1492C23—24no—
1493C23—24no—
1494C23—24no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—24no—
1501C23—22no—
1502C23—24no—
1503C23—22no—
1504C23—24no—
1505C23—22no—
1506C23—22no—
1507C23—22no—
1508C23—22no—
1509C23—22no—
1510C23—24no—
1511C23—24no—
1512C23—22no—
1513C23—22no—
1514C23—22no—
1515C23—24no—
1516C23—24no—
1517C23—22no—
1518C23—22no—
1519C23—22no—
1520C23—24no—
1521C23—22no—
1522C23—88no—
1523C23—88no—
1524C23—88no—
1525C23—88no—
1526C23—88no—
1527C23—164no—
1528C23—164no—
1529C23C23×D412yes—
1530C23C23×D418yes—
1531C23C2611yescharacteristic
1532Q8—216no—
1533Q8—48no—
1534Q8—84no—
1535Q8—88no—
1536D4—216no—
1537D4—48no—
1538D4—48no—
1539D4—416no—
1540D4—48no—
1541D4—84no—
1542D4—82no—
1543D4—82no—
1544D4—84no—
1545D4—84no—
1546D4—84no—
1547D4—88no—
1548D4—84no—
1549D4—88no—
1550D4—88no—
1551D4—88no—
1552D4—84no—
1553D4—88no—
1554D4—88no—
1555D4—88no—
1556D4—88no—
1557D4—88no—
1558D4—164no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—24no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—24no—
1583C2×C4—28no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—24no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—24no—
1590C2×C4—24no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—21no—
1594C2×C4—24no—
1595C2×C4—24no—
1596C2×C4—24no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—22no—
1605C2×C4—24no—
1606C2×C4—24no—
1607C2×C4—24no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—24no—
1611C2×C4—22no—
1612C2×C4—24no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—24no—
1616C2×C4—24no—
1617C2×C4—22no—
1618C2×C4—24no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—24no—
1623C2×C4—44no—
1624C2×C4—44no—
1625C2×C4—416no—
1626C2×C4—44no—
1627C2×C4—44no—
1628C2×C4—44no—
1629C2×C4—44no—
1630C2×C4—48no—
1631C2×C4—48no—
1632C2×C4—88no—
1633C2×C4—88no—
1634C2×C4—88no—
1635C2×C4—88no—
1636C2×C4—88no—
1637C2×C4—88no—
1638C2×C4—88no—
1639C2×C4—88no—
1640C2×C4C23×D412yes—
1641C2×C4C23×D418yes—
1642C2×C4C23×D412yes—
1643C2×C4C23×D412yes—
1644C2×C4C23×D412yes—
1645C2×C4C23×D412yes—
1646C2×C4C23×D412yes—
1647C2×C4C2×H(5,𝔽2)12yes—
1648C2×C4C2×H(5,𝔽2)12yes—
1649C2×C4C2×H(5,𝔽2)12yes—
1650C2×C4#58512yes—
1651C2×C4#58512yes—
1652C2×C4#58512yes—
1653C2×C4#58512yes—
1654C2×C4#58512yes—
1655C22—22no—
1656C22—28no—
1657C22—22no—
1658C22—22no—
1659C22—28no—
1660C22—28no—
1661C22—41no—
1662C22—44no—
1663C22—41no—
1664C22—44no—
1665C22—41no—
1666C22—44no—
1667C22—41no—
1668C22—44no—
1669C22—44no—
1670C22—42no—
1671C22—42no—
1672C22—42no—
1673C22—44no—
1674C22—42no—
1675C22—42no—
1676C22—42no—
1677C22—44no—
1678C22—44no—
1679C22—42no—
1680C22—42no—
1681C22—44no—
1682C22—42no—
1683C22—42no—
1684C22—42no—
1685C22—44no—
1686C22—42no—
1687C22—42no—
1688C22—44no—
1689C22—42no—
1690C22—1616no—
1691C22C24×D411yescharacteristic
1692C22C22×H(5,𝔽2)11yescharacteristic
1693C22C2×#58511yescharacteristic
1694C22C2×#58511yescharacteristic
1695C22C2×#58511yescharacteristic
1696C22C2×#58511yescharacteristic
1697C22C2×#58511yescharacteristic
1698C4—22no—
1699C4—22no—
1700C4—22no—
1701C4—22no—
1702C4—28no—
1703C4—22no—
1704C4—22no—
1705C4—22no—
1706C4—22no—
1707C4—22no—
1708C4—22no—
1709C4—22no—
1710C4—41no—
1711C4—44no—
1712C4—42no—
1713C4—42no—
1714C4—44no—
1715C4—42no—
1716C4—44no—
1717C4—42no—
1718C4—44no—
1719C4—42no—
1720C4—42no—
1721C4—41no—
1722C4—44no—
1723C4#349614yes—
1724C2—42no—
1725C2—48no—
1726C2—82no—
1727C2—84no—
1728C2—82no—
1729C2#6274311yescharacteristic
1730C2#6274811yescharacteristic
1731C2C2×#349611yescharacteristic
1732C2#6281211yescharacteristic
1733C2#6281211yescharacteristic
1734C2#6282811yescharacteristic
1735C2#6283611yescharacteristic
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×#3562C2semidirect
2. #59829C2semidirect
3. #59818C2semidirect
4. #59415C2semidirect
5. #59414C2semidirect
6. #45788C2semidirect
7. #45785C2semidirect
8. #45784C2semidirect
9. #39957C2semidirect
10. #39956C2semidirect
11. #39454C2semidirect
12. #39452C2semidirect
13. #39440C2semidirect
14. #39417C2semidirect
15. #39416C2semidirect
16. #39373C2semidirect
17. #39372C2semidirect
18. #39356C2semidirect
19. #39355C2semidirect
20. #38433C2semidirect
21. #38432C2semidirect
22. #37553C2semidirect
23. #37132C2semidirect
24. #37131C2semidirect
25. #36631C2semidirect
26. #36631C2semidirect
27. #36430C2semidirect
28. #36266C2semidirect
29. #36218C2semidirect
30. #35009C2semidirect
31. C4×#532C2semidirect
33. C2×#562C22semidirect
34. C2×#560C22semidirect
36. C2×#556C22semidirect
37. C2×#553C22semidirect
38. C2×#551C22semidirect
41. C2×#548C22semidirect
42. C2×#548C22semidirect
45. C2×#546C22semidirect
46. C2×#546C22semidirect
47. C2×#541C22semidirect
49. C2×#540C22semidirect
50. C2×#539C22semidirect
51. C2×#538C22semidirect
52. C2×#538C22semidirect
53. C2×#536C22semidirect
56. C2×#529C22semidirect
57. C2×#529C22semidirect
58. C2×C4×#41C22semidirect
59. #2861C22semidirect
60. #2861C22semidirect
62. #2860C22semidirect
63. #2860C22semidirect
64. #2860C22semidirect
65. #2860C22semidirect
66. #2859C22semidirect
67. #2859C22semidirect
70. #2857C22semidirect
71. #2857C22semidirect
76. #2854C22semidirect
77. #2854C22semidirect
78. #2854C22semidirect
79. #2854C22semidirect
80. #2850C22semidirect
81. #2850C22semidirect
82. #2850C22semidirect
83. #2814C22semidirect
84. #2813C22semidirect
87. #2726C22semidirect
88. #2726C22semidirect
89. #2724C22semidirect
90. #2724C22semidirect
91. #2718C22semidirect
92. #2717C22semidirect
93. #2708C22semidirect
94. #2707C22semidirect
95. #2706C22semidirect
96. #2705C22semidirect
97. #2704C22semidirect
98. #2702C22semidirect
99. #2701C22semidirect
100. #2699C22semidirect
101. #2698C22semidirect
102. #2697C22semidirect
103. #2686C22semidirect
104. #2683C22semidirect
105. #2683C22semidirect
108. #2682C22semidirect
109. #2682C22semidirect
110. #2682C22semidirect
111. #2682C22semidirect
112. #2680C22semidirect
115. #2678C22semidirect
116. #2674C22semidirect
117. #2673C22semidirect
118. #2672C22semidirect
119. #2671C22semidirect
120. #2671C22semidirect
121. #2670C22semidirect
123. #2669C22semidirect
124. #2668C22semidirect
125. #2664C22semidirect
126. #2663C22semidirect
127. #2662C22semidirect
128. #2661C22semidirect
129. #2630C22semidirect
130. #2630C22semidirect
131. #2629C22semidirect
132. #2629C22semidirect
134. #2620C22semidirect
135. #2602C22semidirect
136. #2602C22semidirect
137. #2601C22semidirect
138. #2601C22semidirect
139. #2583C22semidirect
140. #2581C22semidirect
141. #2580C22semidirect
142. #2560C22semidirect
143. #2559C22semidirect
144. #2558C22semidirect
145. #2557C22semidirect
146. #2556C22semidirect
148. #2554C22semidirect
149. #2553C22semidirect
150. #2549C22semidirect
151. #2545C22semidirect
153. #2544C22semidirect
155. #2543C22semidirect
156. #2539C22semidirect
157. #2539C22semidirect
159. #2536C22semidirect
161. #2535C22semidirect
162. #2535C22semidirect
163. #2534C22semidirect
164. #2534C22semidirect
165. #2521C22semidirect
166. #2521C22semidirect
167. #2519C22semidirect
168. #2519C22semidirect
169. #2488C22semidirect
170. #2474C22semidirect
172. #2472C22semidirect
173. #2470C22semidirect
174. #2468C22semidirect
175. #2466C22semidirect
177. #2464C22semidirect
178. #2464C22semidirect
179. #2461C22semidirect
180. #2461C22semidirect
181. #2456C22semidirect
182. #2448C22semidirect
183. #2447C22semidirect
184. #2446C22semidirect
186. #2434C22semidirect
190. #2429C22semidirect
192. #2428C22semidirect
193. #2427C22semidirect
194. #2427C22semidirect
196. #2425C22semidirect
197. #2425C22semidirect
198. #2425C22semidirect
199. #2425C22semidirect
203. #2424C22semidirect
204. #2423C22semidirect
205. #2423C22semidirect
206. #2422C22semidirect
207. #2422C22semidirect
208. #2418C22semidirect
209. #2415C22semidirect
210. #2415C22semidirect
211. #2415C22semidirect
213. #2414C22semidirect
214. #2414C22semidirect
215. #2413C22semidirect
217. #2409C22semidirect
218. #2408C22semidirect
221. #2359C22semidirect
222. #2359C22semidirect
223. #2358C22semidirect
224. #2358C22semidirect
225. #2351C22semidirect
226. #2349C22semidirect
227. #2341C22semidirect
228. Q8×C22⋊C4C22semidirect
230. D4×C22⋊C4C22semidirect
231. #2322C22semidirect
232. #2321C22semidirect
233. C4×C4⋊Q8C22semidirect
234. C4×C4⋊Q8C22semidirect
235. C4×C4⋊Q8C22semidirect
236. C4×C4⋊Q8C22semidirect
241. C4×#124C22semidirect
242. C4×#124C22semidirect
243. C4×#124C22semidirect
244. C4×#124C22semidirect
246. C4×#121C22semidirect
247. C4×#121C22semidirect
248. C4×#121C22semidirect
249. C4×#121C22semidirect
250. C4×#121C22semidirect
251. C4×#121C22semidirect
252. C4×#121C22semidirect
253. C4×#121C22semidirect
254. C4×#121C22semidirect
255. #2297C22semidirect
257. #2293C22semidirect
258. #2293C22semidirect
259. #2293C22semidirect
260. #2293C22semidirect
261. #2293C22semidirect
262. #2293C22semidirect
263. C2×#388C22semidirect
264. #2285C22semidirect
265. C42×D4C22semidirect
266. C42×D4C22semidirect
267. C2×C43C22semidirect
295. #532D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35622
#598292
#598182
#594152
#594142
#457882
#457852
#457842
#399572
#399562
#394542
#394522
#394402
#394172
#394162
#393732
#393722
#393562
#393552
#384332
#384322
#375532
#371322
#371312
#366312
#364302
#362662
#362182
#350092
C4×#5322