Finite Group Databasebeta

← #7710302

Subgroups — #7710302

Order 512.

5828 conjugacy classes of subgroups.

The subgroup lattice has 1711 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59644C212yesmaximal, complemented
2#59414C212yesmaximal, complemented
3#59087C214yesmaximal, complemented
4#46016C211yesmaximal, characteristic, complemented
5#46015C211yesmaximal, characteristic, complemented
6#46005C211yesmaximal, characteristic, complemented
7#45996C211yesmaximal, characteristic, complemented
8#45988C212yesmaximal, complemented
9#45977C212yesmaximal, complemented
10#40433C214yesmaximal, complemented
11#40129C212yesmaximal, complemented
12#40056C212yesmaximal, complemented
13#40002C212yesmaximal, complemented
14#39953C212yesmaximal, complemented
15#38831C212yesmaximal, complemented
16#38768C212yesmaximal, complemented
17#38577C214yesmaximal, complemented
18#38486C212yesmaximal, complemented
19#38424C212yesmaximal, complemented
20#37604C212yesmaximal, complemented
21#37038C214yesmaximal, complemented
22#36639C211yesmaximal, characteristic, complemented
23#36631C211yesmaximal, characteristic, complemented
24#36580C212yesmaximal, complemented
25#36148C212yesmaximal, complemented
26#36123C212yesmaximal, complemented
27#36096C212yesmaximal, complemented
28#35080C212yesmaximal, complemented
29#35078C212yesmaximal, complemented
30#34529C212yesmaximal, complemented
31C2×C4×#124C211yesmaximal, characteristic, complemented
32C2×H(3,𝔽4)C2212yes—
33C2×#559C2212yescomplemented
34C2×#546C2212yescomplemented
35C2×#546C2214yescomplemented
36C2×#533C2211yescharacteristic, complemented
37C2×#532C2211yescharacteristic
38C2×#529C2212yescomplemented
39C22×#124C2211yescharacteristic
40C2×#525C2212yes—
41C22×#121C2212yescomplemented
42C22×C4×Q8C2211yescharacteristic, complemented
43C22×C4×D4C2211yescharacteristic
44#2862C2211yescharacteristic, complemented
45#2862C2211yescharacteristic, complemented
46#2861C2212yescomplemented
47#2861C2212yescomplemented
48#2861C2212yescomplemented
49#2860C2212yescomplemented
50#2860C2212yescomplemented
51#2859C2211yescharacteristic, complemented
52#2858C2211yescharacteristic, complemented
53#2858C2211yescharacteristic, complemented
54#2858C2211yescharacteristic, complemented
55#2857C2211yescharacteristic, complemented
56#2856C2211yescharacteristic
57#2856C2212yes—
58#2854C2212yescomplemented
59#2854C2212yescomplemented
60#2850C2212yescomplemented
61#2850C2212yescomplemented
62#2850C2212yescomplemented
63#2850C2212yescomplemented
64#2850C2212yescomplemented
65#2850C2212yescomplemented
66#2848C2212yescomplemented
67#2847C2212yes—
68#2845C2212yescomplemented
69#2819C2212yescomplemented
70#2819C2212yescomplemented
71#2819C2212yescomplemented
72#2808C2212yescomplemented
73#2806C2212yescomplemented
74#2804C2212yescomplemented
75#2803C2214yescomplemented
76#2781C2214yescomplemented
77#2781C2214yescomplemented
78#2778C2214yescomplemented
79#2768C2214yescomplemented
80#2759C2214yescomplemented
81#2756C2214yescomplemented
82#2754C2214yescomplemented
83#2754C2214yescomplemented
84#2753C2214yescomplemented
85#2735C2214yescomplemented
86#2733C2212yescomplemented
87#2733C2212yescomplemented
88#2733C2214yescomplemented
89#2732C2212yes—
90#2730C2214yescomplemented
91#2712C2214yescomplemented
92#2712C2214yescomplemented
93#2712C2214yescomplemented
94#2711C2214yescomplemented
95#2710C2214yescomplemented
96#2710C2214yescomplemented
97#2706C2214yescomplemented
98#2706C2214yescomplemented
99#2704C2214yescomplemented
100#2684C2214yes—
101#2682C2212yescomplemented
102#2679C2212yes—
103#2678C2214yescomplemented
104#2670C2214yescomplemented
105#2670C2214yescomplemented
106#2670C2214yescomplemented
107#2670C2214yescomplemented
108#2661C2214yescomplemented
109#2661C2214yescomplemented
110#2661C2214yescomplemented
111#2661C2214yescomplemented
112#2653C2214yescomplemented
113#2653C2214yescomplemented
114#2653C2214yescomplemented
115#2649C2214yescomplemented
116#2602C2214yescomplemented
117#2595C2214yescomplemented
118#2593C2214yescomplemented
119#2592C2212yescomplemented
120#2592C2212yescomplemented
121#2589C2214yescomplemented
122#2582C2212yescomplemented
123#2580C2212yescomplemented
124#2580C2212yescomplemented
125#2559C2214yescomplemented
126#2558C2214yescomplemented
127#2557C2214yescomplemented
128#2555C2214yescomplemented
129#2554C2214yescomplemented
130#2548C2212yescomplemented
131#2543C2214yescomplemented
132#2543C2214yescomplemented
133#2543C2214yescomplemented
134#2540C2212yes—
135#2539C2214yescomplemented
136#2535C2212yes—
137#2510C2214yescomplemented
138#2504C2212yescomplemented
139#2502C2212yescomplemented
140#2500C2212yescomplemented
141#2500C2212yescomplemented
142#2495C2212yescomplemented
143#2494C2212yescomplemented
144#2492C2212yescomplemented
145#2491C2212yescomplemented
146#2491C2212yescomplemented
147#2491C2212yescomplemented
148#2480C2214yescomplemented
149#2477C2214yescomplemented
150#2474C2214yescomplemented
151#2472C2214yescomplemented
152#2472C2214yescomplemented
153#2472C2214yescomplemented
154#2467C2214yescomplemented
155#2464C2214yescomplemented
156#2464C2214yescomplemented
157#2464C2214yescomplemented
158#2460C2214yescomplemented
159#2458C2214yescomplemented
160#2458C2214yescomplemented
161#2458C2214yescomplemented
162#2458C2214yescomplemented
163#2456C2214yes—
164#2456C2214yescomplemented
165#2450C2214yescomplemented
166#2450C2214yescomplemented
167#2448C2214yescomplemented
168#2443C2214yescomplemented
169#2443C2214yescomplemented
170#2443C2214yescomplemented
171#2440C2212yescomplemented
172#2439C2212yescomplemented
173#2436C2214yescomplemented
174#2435C2212yescomplemented
175#2433C2212yescomplemented
176#2433C2212yescomplemented
177#2432C2212yescomplemented
178#2431C2212yescomplemented
179#2431C2212yescomplemented
180#2430C2214yescomplemented
181#2429C2212yescomplemented
182#2428C2212yescomplemented
183#2428C2212yescomplemented
184#2427C2212yescomplemented
185#2426C2212yescomplemented
186#2426C2212yescomplemented
187#2424C2214yes—
188#2423C2212yescomplemented
189#2422C2212yescomplemented
190#2422C2212yescomplemented
191#2421C2212yescomplemented
192#2418C2214yescomplemented
193#2418C2214yescomplemented
194#2418C2214yescomplemented
195#2417C2212yes—
196#2414C2212yescomplemented
197#2414C2214yescomplemented
198#2411C2214yescomplemented
199#2411C2214yescomplemented
200#2410C2214yescomplemented
201#2410C2214yescomplemented
202#2410C2214yescomplemented
203#2408C2212yes—
204#2407C2212yescomplemented
205#2403C2214yes—
206#2379C2212yes—
207#2379C2212yescomplemented
208#2379C2212yescomplemented
209#2367C2214yescomplemented
210#2367C2214yescomplemented
211#2367C2214yescomplemented
212#2362C2212yescomplemented
213#2361C2212yescomplemented
214#2361C2214yescomplemented
215#2359C2214yescomplemented
216#2358C2214yes—
217#2358C2214yescomplemented
218#2358C2214yescomplemented
219#2355C2212yescomplemented
220#2352C2212yescomplemented
221#2341C2212yescomplemented
222D4×C22⋊C4C2214yescomplemented
223D4×C22⋊C4C2212yescomplemented
224#2337C2214yescomplemented
225#2337C2214yescomplemented
226#2337C2214yescomplemented
227#2335C2214yescomplemented
228#2321C2214yes—
229#2321C2214yescomplemented
230#2321C2214yescomplemented
231#2321C2214yescomplemented
232C4×C4⋊Q8C2211yescharacteristic, complemented
233C4×#127C2211yescharacteristic, complemented
234C4×#124C2211yescharacteristic
235C4×#124C2211yescharacteristic
236C4×#124C2211yescharacteristic
237C4×#124C2211yescharacteristic
238C4×#124C2212yescomplemented
239C4×#124C2212yescomplemented
240C4×#124C2212yescomplemented
241C4×#124C2212yescomplemented
242C4×#124C2212yescomplemented
243C4×#124C2212yescomplemented
244C4×#124C2212yescomplemented
245C4×#124C2212yescomplemented
246C4×#124C2211yescharacteristic, complemented
247C4×#124C2211yescharacteristic, complemented
248C4×#124C2211yescharacteristic, complemented
249C4×#124C2211yescharacteristic, complemented
250C4×#124C2212yescomplemented
251C4×C22⋊Q8C2212yescomplemented
252C4×#121C2212yescomplemented
253C4×#121C2212yescomplemented
254C4×#121C2212yescomplemented
255#2297C2212yescomplemented
256#2297C2212yescomplemented
257C2×#391C2211yescharacteristic, complemented
258#2293C2212yescomplemented
259#2293C2212yescomplemented
260C2×#390C2211yescharacteristic
261C2×#388C2212yescomplemented
262C2×#388C2212yescomplemented
263C2×#382C2211yescharacteristic, complemented
264C2×C4×C22⋊C4C2212yescomplemented
265C2×C4×C22⋊C4C2212yescomplemented
266C2×C43C2211yescharacteristic, complemented
267C22×#41C2312yes—
268C22×#41C2312yes—
269C23×Q8C2311yescharacteristic
270C23×D4C2311yescharacteristic
271C23×D4C2314yes—
272C23×D4C2312yes—
273C24×C4C2312yes—
274H(3,𝔽4)—216no—
275#559—48no—
276#546—416no—
277#546—48no—
278#533—44no—
279#532—44no—
280C2×C4⋊Q8C2311yescharacteristic
281C2×C4⋊Q8C2311yescharacteristic
282C2×C4⋊Q8C2311yescharacteristic
283C2×C4⋊Q8C2311yescharacteristic
284C2×#127C2311yescharacteristic
285C2×#127C2312yes—
286C2×#127C2311yescharacteristic
287#529—48no—
288C2×#126C2314yes—
289C2×#125C2312yes—
290C2×#125C2312yes—
291C2×#124—28no—
292C2×#124C2311yescharacteristic
293C2×#124C2312yes—
294C2×#124C2312yes—
295C2×#124C2312yes—
296C2×#124C2314yes—
297C2×#124C2314yes—
298C2×#124C2314yes—
299C2×#124C2312yes—
300C2×#124C2312yes—
301C2×#124C2311yescharacteristic
302C2×#124C2311yescharacteristic
303C2×#124C2312yes—
304C2×#124C2312yes—
305C2×#124C2312yes—
306C2×#124C2312yes—
307C2×#124C2312yes—
308C2×#124C2314yes—
309C2×#124C2314yes—
310C2×#124C2311yescharacteristic
311#525—48no—
312C2×#123C2314yes—
313C2×#123C2314yes—
314C2×#123C2314yes—
315C2×#123C2314yes—
316C2×#123C2314yes—
317C2×#123C2314yes—
318C2×#123C2314yes—
319C2×C22⋊Q8C2312yes—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2314yes—
326C2×#121—48no—
327C2×#121C2312yes—
328C2×#121C2312yes—
329C2×#121C2312yes—
330C2×#121C2312yes—
331C2×#121C2312yes—
332C2×#121C2312yes—
333C2×#121C2312yes—
334C2×#121C2314yes—
335C2×#121C2314yes—
336C2×#121C2314yes—
337C2×#121C2314yes—
338C2×#121C2314yes—
339C2×#121C2312yes—
340C2×#121C2312yes—
341C2×#121C2312yes—
342C2×#121C2314yes—
343C2×#121C2314yes—
344C2×#120C2314yes—
345C2×#120C2314yes—
346C2×#120C2314yes—
347C2×#120C2314yes—
348C2×#120C2314yes—
349C2×#120C2314yes—
350C2×#120C2314yes—
351C2×#120C2314yes—
352C2×C4×Q8—44no—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2311yescharacteristic
363C2×C4×D4—44no—
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2314yes—
369C2×C4×D4C2314yes—
370C2×C4×D4C2314yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2314yes—
373C2×C4×D4C2314yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2312yes—
377C2×C4×D4C2314yes—
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2312yes—
381C2×C4×D4C2311yescharacteristic
382C2×#117C2312yes—
383C2×#117C2312yes—
384C2×#117C2314yes—
385C22×C4⋊C4C2312yes—
386C22×C4⋊C4C2312yes—
387C22×C4⋊C4C2311yescharacteristic
388C22×C4⋊C4C2311yescharacteristic
389C22×C22⋊C4C2312yes—
390C22×C22⋊C4C2312yes—
391C22×C22⋊C4C2312yes—
392C22×C22⋊C4C2314yes—
393C22×C22⋊C4C2314yes—
394C22×C22⋊C4C2314yes—
395C22×C22⋊C4C2312yes—
396C22×C22⋊C4C2312yes—
397C22×C42C2311yescharacteristic
398C22×C42C2311yescharacteristic
399C22×C42C2311yescharacteristic
400C22×C42C2311yescharacteristic
401C22×C42C2311yescharacteristic
402C22×C42C2311yescharacteristic
403C22×C42C2312yes—
404C22×C42C2311yescharacteristic
405#401C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#399C2314yes—
410#399C2314yes—
411#399C2314yes—
412#399C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#396C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#395C2314yes—
438#394C2314yes—
439#394C2314yes—
440#394C2314yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#393C2314yes—
462#393C2314yes—
463#393C2314yes—
464#393C2314yes—
465#393C2314yes—
466#393C2314yes—
467#393C2314yes—
468#393C2314yes—
469#393C2314yes—
470#392C2314yes—
471#392C2314yes—
472#392C2314yes—
473#392C2314yes—
474#392C2314yes—
475#392C2314yes—
476#392C2314yes—
477#392C2314yes—
478#392C2314yes—
479#392C2314yes—
480#392C2314yes—
481#392C2314yes—
482#392C2314yes—
483#392C2314yes—
484#392C2314yes—
485#391C2312yes—
486#391C2312yes—
487#391C2312yes—
488#391C2314yes—
489#391C2312yes—
490#391C2314yes—
491#391C2312yes—
492#391C2311yescharacteristic
493#391C2312yes—
494#391C2312yes—
495#391C2314yes—
496#391C2314yes—
497#391C2312yes—
498#391C2312yes—
499#391C2312yes—
500#391C2312yes—
501#391C2312yes—
502#391C2312yes—
503#391C2311yescharacteristic
504#391C2312yes—
505#391C2311yescharacteristic
506#391C2311yescharacteristic
507#390C2312yes—
508#390C2312yes—
509#390C2312yes—
510#390C2311yescharacteristic
511#390C2314yes—
512#390C2312yes—
513#390C2312yes—
514#390C2312yes—
515#390C2314yes—
516#390C2314yes—
517#390C2314yes—
518#390C2312yes—
519#390C2312yes—
520#390C2312yes—
521#390C2312yes—
522#390C2314yes—
523#390C2312yes—
524#390C2312yes—
525#390C2314yes—
526#390C2314yes—
527#390C2312yes—
528#390C2312yes—
529#390C2314yes—
530#390C2314yes—
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2314yes—
541#390C2311yescharacteristic
542#390C2312yes—
543#390C2311yescharacteristic
544#390C2311yescharacteristic
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2314yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2312yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2312yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2312yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2312yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2312yes—
605#388C2312yes—
606#388C2312yes—
607#388C2312yes—
608#388C2312yes—
609#388C2312yes—
610#388C2312yes—
611#388C2312yes—
612#388C2312yes—
613#388C2312yes—
614#388C2312yes—
615#388C2312yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
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#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#384C2311yescharacteristic
672#384C2311yescharacteristic
673#384C2312yes—
674#383C2314yes—
675#382C2311yescharacteristic
676#382C2312yes—
677#382C2312yes—
678#382C2312yes—
679#382C2312yes—
680#382C2312yes—
681#382C2312yes—
682#382C2311yescharacteristic
683#382C2312yes—
684#382C2312yes—
685#382C2311yescharacteristic
686#382C2311yescharacteristic
687#380C2314yes—
688#380C2312yes—
689#380C2312yes—
690#380C2312yes—
691#380C2312yes—
692#380C2312yes—
693#380C2314yes—
694#380C2314yes—
695#380C2312yes—
696#379C2314yes—
697#379C2314yes—
698#379C2314yes—
699#379C2314yes—
700#379C2314yes—
701C4×C4⋊C4C2312yes—
702C4×C4⋊C4C2312yes—
703C4×C4⋊C4C2314yes—
704C4×C4⋊C4C2314yes—
705C4×C4⋊C4C2312yes—
706C4×C4⋊C4C2314yes—
707C4×C4⋊C4C2312yes—
708C4×C22⋊C4C2314yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2312yes—
711C4×C22⋊C4C2314yes—
712C4×C22⋊C4C2314yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2314yes—
715C4×C22⋊C4C2314yes—
716C4×C22⋊C4C2314yes—
717C4×C22⋊C4C2312yes—
718C4×C22⋊C4C2312yes—
719C4×C22⋊C4C2314yes—
720C4×C22⋊C4C2312yes—
721C4×C22⋊C4C2314yes—
722C4×C22⋊C4C2314yes—
723C4×C22⋊C4C2312yes—
724C4×C22⋊C4C2312yes—
725C4×C22⋊C4C2312yes—
726C4×C22⋊C4C2312yes—
727C4×C22⋊C4C2312yes—
728C4×C22⋊C4C2312yes—
729C4×C22⋊C4C2312yes—
730C4×C22⋊C4C2312yes—
731C4×C22⋊C4C2312yes—
732C4×C22⋊C4C2314yes—
733C4×C22⋊C4C2312yes—
734C2×#95C2312yes—
735C2×#95C2312yes—
736C2×#95C2312yes—
737C2×#95C2312yes—
738C43C2311yescharacteristic
739C43C2311yescharacteristic
740C43C2311yescharacteristic
741C43C2311yescharacteristic
742C43C2311yescharacteristic
743C43C2311yescharacteristic
744C43C2311yescharacteristic
745C43C2311yescharacteristic
746C25C2412yes—
747C25C2414yes—
748C2×#41—28no—
749C2×#41—44no—
750C2×#41—44no—
751C2×#41—44no—
752C2×#41—44no—
753C2×#41—44no—
754C22×Q8—24no—
755C22×Q8—42no—
756C22×Q8—42no—
757C22×Q8C2412yes—
758C22×Q8C2412yes—
759C22×Q8C2411yescharacteristic
760C22×Q8C2412yes—
761C22×Q8C2412yes—
762C22×Q8C2412yes—
763C22×Q8C2411yescharacteristic
764C22×D4—24no—
765C22×D4—42no—
766C22×D4—44no—
767C22×D4—44no—
768C22×D4—44no—
769C22×D4—42no—
770C22×D4—48no—
771C22×D4—48no—
772C22×D4—48no—
773C22×D4C2414yes—
774C22×D4C2412yes—
775C22×D4C2414yes—
776C22×D4C2412yes—
777C22×D4C2412yes—
778C22×D4C2411yescharacteristic
779C22×D4C2414yes—
780C22×D4C2414yes—
781C22×D4C2412yes—
782C22×D4C2412yes—
783C22×D4C2414yes—
784C22×D4C2412yes—
785C22×D4C2412yes—
786C22×D4C2414yes—
787C22×D4C2414yes—
788C22×D4C2414yes—
789C22×D4C2414yes—
790C22×D4C2414yes—
791C22×D4C2414yes—
792C22×D4C2411yescharacteristic
793C23×C4—28no—
794C23×C4—44no—
795C23×C4—44no—
796C23×C4C2411yescharacteristic
797C23×C4C2412yes—
798C23×C4C2412yes—
799C23×C4C2411yescharacteristic
800C23×C4C2412yes—
801C23×C4C2411yescharacteristic
802C23×C4C2411yescharacteristic
803C23×C4C2411yescharacteristic
804C23×C4C2411yescharacteristic
805C23×C4C2411yescharacteristic
806C23×C4C2412yes—
807C23×C4C2412yes—
808C23×C4C2412yes—
809C23×C4C2414yes—
810C23×C4C2414yes—
811C23×C4C2412yes—
812C23×C4C2414yes—
813C23×C4C2414yes—
814C23×C4C2414yes—
815C4⋊Q8—42no—
816C4⋊Q8—42no—
817C4⋊Q8—42no—
818C4⋊Q8—42no—
819#127—42no—
820#127—42no—
821#127—44no—
822#126—48no—
823#125—44no—
824#125—44no—
825#124—24no—
826#124—216no—
827#124—24no—
828#124—28no—
829#124—28no—
830#124—216no—
831#124—216no—
832#124—24no—
833#124—28no—
834#124—28no—
835#124—28no—
836#124—44no—
837#124—44no—
838#124—44no—
839#124—44no—
840#124—44no—
841#124—48no—
842#124—48no—
843#124#4118yescomplemented
844#123—216no—
845#123—48no—
846#123—48no—
847#123—48no—
848#123—48no—
849#123—48no—
850#123—48no—
851C22⋊Q8—28no—
852C22⋊Q8—44no—
853C22⋊Q8—44no—
854C22⋊Q8—48no—
855C22⋊Q8—44no—
856C22⋊Q8—44no—
857C22⋊Q8—44no—
858#121—28no—
859#121—28no—
860#121—48no—
861#121—48no—
862#121—48no—
863#121—48no—
864#121—44no—
865#121—44no—
866#121—44no—
867#121—44no—
868#121—44no—
869#121—48no—
870#121—44no—
871#121—48no—
872#121—44no—
873#121—44no—
874#121—48no—
875#120—216no—
876#120—216no—
877#120—216no—
878#120—48no—
879#120—48no—
880#120—48no—
881#120—48no—
882#120—48no—
883C4×Q8—28no—
884C4×Q8—42no—
885C4×Q8—42no—
886C4×Q8—42no—
887C4×Q8—42no—
888C4×Q8—44no—
889C4×Q8—44no—
890C4×Q8—44no—
891C4×Q8—44no—
892C4×Q8—44no—
893C4×D4—28no—
894C4×D4—28no—
895C4×D4—42no—
896C4×D4—42no—
897C4×D4—44no—
898C4×D4—44no—
899C4×D4—44no—
900C4×D4—44no—
901C4×D4—44no—
902C4×D4—44no—
903C4×D4—42no—
904C4×D4—42no—
905C4×D4—48no—
906C4×D4—48no—
907C4×D4—48no—
908C4×D4—48no—
909C4×D4—48no—
910C4×D4—48no—
911#117—48no—
912#117—44no—
913#117—44no—
914C2×C4⋊C4—42no—
915C2×C4⋊C4—44no—
916C2×C4⋊C4—42no—
917C2×C4⋊C4—44no—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2412yes—
957C2×C22⋊C4—28no—
958C2×C22⋊C4—28no—
959C2×C22⋊C4—28no—
960C2×C22⋊C4—44no—
961C2×C22⋊C4—44no—
962C2×C22⋊C4—48no—
963C2×C22⋊C4—48no—
964C2×C22⋊C4—48no—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2412yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C42—24no—
1032C2×C42—24no—
1033C2×C42—24no—
1034C2×C42—24no—
1035C2×C42—44no—
1036C2×C42—42no—
1037C2×C42—42no—
1038C2×C42—42no—
1039C2×C42C2411yescharacteristic
1040C2×C42C2411yescharacteristic
1041C2×C42C2411yescharacteristic
1042C2×C42C2411yescharacteristic
1043C2×C42C2411yescharacteristic
1044C2×C42C2411yescharacteristic
1045C2×C42C2411yescharacteristic
1046C2×C42C2411yescharacteristic
1047C2×C42C2412yes—
1048C2×C42C2412yes—
1049C2×C42C2414yes—
1050C2×C42C2411yescharacteristic
1051C2×C42C2411yescharacteristic
1052C2×C42C2411yescharacteristic
1053C2×C42C2411yescharacteristic
1054C2×C42C2411yescharacteristic
1055C2×C42C2411yescharacteristic
1056C2×C42C2411yescharacteristic
1057C2×C42C2411yescharacteristic
1058C2×C42C2411yescharacteristic
1059C2×C42C2411yescharacteristic
1060C2×C42C2414yes—
1061C2×C42C2414yes—
1062C2×C42C2414yes—
1063C2×C42C2414yes—
1064C2×C42C2414yes—
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2411yescharacteristic
1071C2×C42C2411yescharacteristic
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121C24—24no—
1122C24—24no—
1123C24—24no—
1124C24—24no—
1125C24—28no—
1126C24—42no—
1127C24—42no—
1128C24—42no—
1129C24—44no—
1130C24—44no—
1131C24—44no—
1132C24—44no—
1133C24—44no—
1134C24—44no—
1135C24C2512yes—
1136C24C2514yes—
1137C24C2514yes—
1138C24C2512yes—
1139C24C2511yescharacteristic
1140#41—816no—
1141#41—816no—
1142C2×Q8—24no—
1143C2×Q8—22no—
1144C2×Q8—24no—
1145C2×Q8—24no—
1146C2×Q8—24no—
1147C2×Q8—24no—
1148C2×Q8—24no—
1149C2×Q8—24no—
1150C2×Q8—24no—
1151C2×Q8—41no—
1152C2×Q8—41no—
1153C2×Q8—41no—
1154C2×Q8—42no—
1155C2×Q8—41no—
1156C2×Q8—42no—
1157C2×Q8—42no—
1158C2×Q8—42no—
1159C2×Q8—42no—
1160C2×Q8—42no—
1161C2×Q8—42no—
1162C2×Q8—416no—
1163C2×Q8C2×#4114yes—
1164C2×D4—24no—
1165C2×D4—28no—
1166C2×D4—28no—
1167C2×D4—28no—
1168C2×D4—28no—
1169C2×D4—28no—
1170C2×D4—28no—
1171C2×D4—28no—
1172C2×D4—28no—
1173C2×D4—22no—
1174C2×D4—28no—
1175C2×D4—24no—
1176C2×D4—24no—
1177C2×D4—24no—
1178C2×D4—24no—
1179C2×D4—24no—
1180C2×D4—24no—
1181C2×D4—24no—
1182C2×D4—24no—
1183C2×D4—24no—
1184C2×D4—24no—
1185C2×D4—24no—
1186C2×D4—41no—
1187C2×D4—41no—
1188C2×D4—41no—
1189C2×D4—42no—
1190C2×D4—41no—
1191C2×D4—416no—
1192C2×D4—44no—
1193C2×D4—44no—
1194C2×D4—42no—
1195C2×D4—42no—
1196C2×D4—44no—
1197C2×D4—44no—
1198C2×D4—44no—
1199C2×D4—44no—
1200C2×D4—44no—
1201C2×D4—44no—
1202C2×D4—44no—
1203C2×D4—44no—
1204C2×D4—44no—
1205C2×D4—44no—
1206C2×D4—42no—
1207C2×D4—44no—
1208C2×D4—44no—
1209C2×D4—42no—
1210C2×D4—42no—
1211C2×D4—42no—
1212C2×D4—42no—
1213C2×D4—44no—
1214C2×D4—44no—
1215C2×D4—44no—
1216C2×D4—42no—
1217C2×D4—44no—
1218C2×D4—44no—
1219C2×D4—44no—
1220C2×D4—44no—
1221C2×D4—44no—
1222C2×D4—44no—
1223C2×D4—44no—
1224C2×D4—816no—
1225C2×D4—832no—
1226C2×D4C2×#4114yes—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—24no—
1239C22×C4—24no—
1240C22×C4—24no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—24no—
1244C22×C4—22no—
1245C22×C4—24no—
1246C22×C4—24no—
1247C22×C4—24no—
1248C22×C4—24no—
1249C22×C4—22no—
1250C22×C4—24no—
1251C22×C4—24no—
1252C22×C4—24no—
1253C22×C4—28no—
1254C22×C4—28no—
1255C22×C4—24no—
1256C22×C4—42no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—41no—
1261C22×C4—42no—
1262C22×C4—42no—
1263C22×C4—44no—
1264C22×C4—44no—
1265C22×C4—42no—
1266C22×C4—44no—
1267C22×C4—42no—
1268C22×C4—42no—
1269C22×C4—44no—
1270C22×C4—44no—
1271C22×C4—44no—
1272C22×C4—44no—
1273C22×C4—42no—
1274C22×C4—42no—
1275C22×C4—42no—
1276C22×C4—44no—
1277C22×C4—44no—
1278C22×C4—44no—
1279C22×C4—44no—
1280C22×C4—44no—
1281C22×C4—44no—
1282C22×C4—816no—
1283C22×C4H(5,𝔽2)14yes—
1284C22×C4H(5,𝔽2)14yes—
1285C22×C4C2511yescharacteristic
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2514yes—
1289C22×C4C2512yes—
1290C22×C4C2514yes—
1291C22×C4C2514yes—
1292C22×C4C2511yescharacteristic
1293C22×C4C2511yescharacteristic
1294C22×C4C2512yes—
1295C22×C4C2514yes—
1296C22×C4C2512yes—
1297C22×C4C2514yes—
1298C22×C4C2514yes—
1299C22×C4C2511yescharacteristic
1300C22×C4C2511yescharacteristic
1301C22×C4C2511yescharacteristic
1302C22×C4C2511yescharacteristic
1303C22×C4C2512yes—
1304C22×C4C2511yescharacteristic
1305C22×C4C2511yescharacteristic
1306C22×C4C2511yescharacteristic
1307C22×C4C2511yescharacteristic
1308C22×C4C2511yescharacteristic
1309C22×C4C2511yescharacteristic
1310C22×C4C2511yescharacteristic
1311C4⋊C4—24no—
1312C4⋊C4—24no—
1313C4⋊C4—24no—
1314C4⋊C4—24no—
1315C4⋊C4—24no—
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—28no—
1319C4⋊C4—24no—
1320C4⋊C4—28no—
1321C4⋊C4—28no—
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—41no—
1325C4⋊C4—41no—
1326C4⋊C4—41no—
1327C4⋊C4—41no—
1328C4⋊C4—42no—
1329C4⋊C4—42no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—44no—
1335C4⋊C4—42no—
1336C4⋊C4—44no—
1337C4⋊C4—42no—
1338C4⋊C4—44no—
1339C4⋊C4—42no—
1340C4⋊C4—44no—
1341C4⋊C4—42no—
1342C4⋊C4—44no—
1343C4⋊C4—42no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—42no—
1350C22⋊C4—24no—
1351C22⋊C4—24no—
1352C22⋊C4—28no—
1353C22⋊C4—28no—
1354C22⋊C4—28no—
1355C22⋊C4—24no—
1356C22⋊C4—24no—
1357C22⋊C4—24no—
1358C22⋊C4—24no—
1359C22⋊C4—28no—
1360C22⋊C4—28no—
1361C22⋊C4—28no—
1362C22⋊C4—28no—
1363C22⋊C4—28no—
1364C22⋊C4—28no—
1365C22⋊C4—24no—
1366C22⋊C4—24no—
1367C22⋊C4—24no—
1368C22⋊C4—24no—
1369C22⋊C4—24no—
1370C22⋊C4—24no—
1371C22⋊C4—28no—
1372C22⋊C4—28no—
1373C22⋊C4—28no—
1374C22⋊C4—28no—
1375C22⋊C4—28no—
1376C22⋊C4—28no—
1377C22⋊C4—28no—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—28no—
1381C22⋊C4—42no—
1382C22⋊C4—42no—
1383C22⋊C4—42no—
1384C22⋊C4—42no—
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⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4C2×#4118yes—
1415C22⋊C4C2×#4118yes—
1416C42—22no—
1417C42—22no—
1418C42—22no—
1419C42—28no—
1420C42—22no—
1421C42—22no—
1422C42—22no—
1423C42—22no—
1424C42—22no—
1425C42—22no—
1426C42—22no—
1427C42—22no—
1428C42—22no—
1429C42—22no—
1430C42—22no—
1431C42—24no—
1432C42—24no—
1433C42—22no—
1434C42—22no—
1435C42—22no—
1436C42—22no—
1437C42—41no—
1438C42—41no—
1439C42—41no—
1440C42—41no—
1441C42—41no—
1442C42—41no—
1443C42—41no—
1444C42—41no—
1445C42—42no—
1446C42—42no—
1447C42—44no—
1448C42—44no—
1449C42—44no—
1450C42—44no—
1451C42—44no—
1452C42C2×#4114yes—
1453C42H(5,𝔽2)14yes—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—22no—
1459C23—22no—
1460C23—22no—
1461C23—22no—
1462C23—22no—
1463C23—22no—
1464C23—22no—
1465C23—24no—
1466C23—24no—
1467C23—24no—
1468C23—24no—
1469C23—22no—
1470C23—24no—
1471C23—24no—
1472C23—24no—
1473C23—22no—
1474C23—22no—
1475C23—24no—
1476C23—22no—
1477C23—24no—
1478C23—24no—
1479C23—22no—
1480C23—24no—
1481C23—24no—
1482C23—24no—
1483C23—24no—
1484C23—22no—
1485C23—48no—
1486C23—48no—
1487C23—48no—
1488C23—48no—
1489C23—84no—
1490C23—84no—
1491C23—84no—
1492C23—88no—
1493C23—88no—
1494C23—88no—
1495C23—88no—
1496C23—88no—
1497C23—164no—
1498C23—164no—
1499C23C22×#4114yes—
1500C23C2×H(5,𝔽2)12yes—
1501C23C2×H(5,𝔽2)12yes—
1502C23#58512yes—
1503C23C2611yescharacteristic
1504Q8—44no—
1505Q8—48no—
1506Q8—44no—
1507Q8—48no—
1508Q8—84no—
1509Q8—84no—
1510Q8—84no—
1511D4—44no—
1512D4—48no—
1513D4—44no—
1514D4—416no—
1515D4—416no—
1516D4—48no—
1517D4—48no—
1518D4—88no—
1519D4—84no—
1520D4—84no—
1521D4—84no—
1522D4—84no—
1523D4—88no—
1524D4—88no—
1525D4—88no—
1526D4—88no—
1527D4—88no—
1528D4—88no—
1529D4—164no—
1530D4—164no—
1531C2×C4—28no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—22no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—22no—
1552C2×C4—28no—
1553C2×C4—28no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—24no—
1557C2×C4—24no—
1558C2×C4—22no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—24no—
1568C2×C4—24no—
1569C2×C4—22no—
1570C2×C4—24no—
1571C2×C4—24no—
1572C2×C4—24no—
1573C2×C4—24no—
1574C2×C4—24no—
1575C2×C4—24no—
1576C2×C4—22no—
1577C2×C4—24no—
1578C2×C4—22no—
1579C2×C4—24no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—24no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—24no—
1593C2×C4—24no—
1594C2×C4—24no—
1595C2×C4—24no—
1596C2×C4—22no—
1597C2×C4—24no—
1598C2×C4—22no—
1599C2×C4—44no—
1600C2×C4—44no—
1601C2×C4—44no—
1602C2×C4—44no—
1603C2×C4—48no—
1604C2×C4—48no—
1605C2×C4—48no—
1606C2×C4—88no—
1607C2×C4—84no—
1608C2×C4—84no—
1609C2×C4—88no—
1610C2×C4—84no—
1611C2×C4—84no—
1612C2×C4—88no—
1613C2×C4—88no—
1614C2×C4—164no—
1615C2×C4C22×#4114yes—
1616C2×C4C22×#4112yes—
1617C2×C4C22×#4112yes—
1618C2×C4C22×#4112yes—
1619C2×C4C2×H(5,𝔽2)12yes—
1620C2×C4C2×H(5,𝔽2)12yes—
1621C2×C4C2×H(5,𝔽2)12yes—
1622C2×C4C2×H(5,𝔽2)12yes—
1623C2×C4C2×H(5,𝔽2)12yes—
1624C2×C4C2×H(5,𝔽2)12yes—
1625C2×C4C2×H(5,𝔽2)12yes—
1626C2×C4#58512yes—
1627C2×C4#58512yes—
1628C22—22no—
1629C22—22no—
1630C22—22no—
1631C22—22no—
1632C22—22no—
1633C22—22no—
1634C22—24no—
1635C22—24no—
1636C22—24no—
1637C22—42no—
1638C22—42no—
1639C22—42no—
1640C22—42no—
1641C22—42no—
1642C22—44no—
1643C22—44no—
1644C22—44no—
1645C22—44no—
1646C22—42no—
1647C22—42no—
1648C22—44no—
1649C22—44no—
1650C22—44no—
1651C22—44no—
1652C22—44no—
1653C22—44no—
1654C22—42no—
1655C22—42no—
1656C22—44no—
1657C22—42no—
1658C22—44no—
1659C22—44no—
1660C22—44no—
1661C22—42no—
1662C22—816no—
1663C22—1616no—
1664C22#355814yes—
1665C22C23×#4111yescharacteristic
1666C22C22×H(5,𝔽2)11yescharacteristic
1667C22C22×H(5,𝔽2)11yescharacteristic
1668C22C22×H(5,𝔽2)11yescharacteristic
1669C22C2×#58511yescharacteristic
1670C22C2×#58511yescharacteristic
1671C22C2×#58511yescharacteristic
1672C4—22no—
1673C4—22no—
1674C4—22no—
1675C4—22no—
1676C4—22no—
1677C4—24no—
1678C4—22no—
1679C4—22no—
1680C4—22no—
1681C4—22no—
1682C4—42no—
1683C4—42no—
1684C4—44no—
1685C4—44no—
1686C4—44no—
1687C4—42no—
1688C4—41no—
1689C4—41no—
1690C4—44no—
1691C4—44no—
1692C4—41no—
1693C4—41no—
1694C4—42no—
1695C4—44no—
1696C4—42no—
1697C4#355814yes—
1698C2—24no—
1699C2—44no—
1700C2—82no—
1701C2—84no—
1702C2—84no—
1703C2C2×#355811yescharacteristic
1704C2C2×#355811yescharacteristic
1705C2#6277311yescharacteristic
1706C2#6280011yescharacteristic
1707C2#6280011yescharacteristic
1708C2#6282811yescharacteristic
1709C2#6283411yescharacteristic
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. #59644C2semidirect
2. #59414C2semidirect
3. #59087C2semidirect
4. #46016C2semidirect
5. #46015C2semidirect
6. #46005C2semidirect
7. #45996C2semidirect
8. #45988C2semidirect
9. #45977C2semidirect
10. #40433C2semidirect
11. #40129C2semidirect
12. #40056C2semidirect
13. #40002C2semidirect
14. #39953C2semidirect
15. #38831C2semidirect
16. #38768C2semidirect
17. #38577C2semidirect
18. #38486C2semidirect
19. #38424C2semidirect
20. #37604C2semidirect
21. #37038C2semidirect
22. #36639C2semidirect
23. #36631C2semidirect
24. #36580C2semidirect
25. #36148C2semidirect
26. #36123C2semidirect
27. #36096C2semidirect
28. #35080C2semidirect
29. #35078C2semidirect
30. #34529C2semidirect
31. C2×C4×#124C2semidirect
33. C2×#559C22semidirect
34. C2×#546C22semidirect
35. C2×#546C22semidirect
36. C2×#533C22semidirect
38. C2×#529C22semidirect
41. C22×#121C22semidirect
42. C22×C4×Q8C22semidirect
44. #2862C22semidirect
45. #2862C22semidirect
46. #2861C22semidirect
47. #2861C22semidirect
48. #2861C22semidirect
49. #2860C22semidirect
50. #2860C22semidirect
51. #2859C22semidirect
52. #2858C22semidirect
53. #2858C22semidirect
54. #2858C22semidirect
55. #2857C22semidirect
58. #2854C22semidirect
59. #2854C22semidirect
60. #2850C22semidirect
61. #2850C22semidirect
62. #2850C22semidirect
63. #2850C22semidirect
64. #2850C22semidirect
65. #2850C22semidirect
66. #2848C22semidirect
68. #2845C22semidirect
69. #2819C22semidirect
70. #2819C22semidirect
71. #2819C22semidirect
72. #2808C22semidirect
73. #2806C22semidirect
74. #2804C22semidirect
75. #2803C22semidirect
76. #2781C22semidirect
77. #2781C22semidirect
78. #2778C22semidirect
79. #2768C22semidirect
80. #2759C22semidirect
81. #2756C22semidirect
82. #2754C22semidirect
83. #2754C22semidirect
84. #2753C22semidirect
85. #2735C22semidirect
86. #2733C22semidirect
87. #2733C22semidirect
88. #2733C22semidirect
90. #2730C22semidirect
91. #2712C22semidirect
92. #2712C22semidirect
93. #2712C22semidirect
94. #2711C22semidirect
95. #2710C22semidirect
96. #2710C22semidirect
97. #2706C22semidirect
98. #2706C22semidirect
99. #2704C22semidirect
101. #2682C22semidirect
103. #2678C22semidirect
104. #2670C22semidirect
105. #2670C22semidirect
106. #2670C22semidirect
107. #2670C22semidirect
108. #2661C22semidirect
109. #2661C22semidirect
110. #2661C22semidirect
111. #2661C22semidirect
112. #2653C22semidirect
113. #2653C22semidirect
114. #2653C22semidirect
115. #2649C22semidirect
116. #2602C22semidirect
117. #2595C22semidirect
118. #2593C22semidirect
119. #2592C22semidirect
120. #2592C22semidirect
121. #2589C22semidirect
122. #2582C22semidirect
123. #2580C22semidirect
124. #2580C22semidirect
125. #2559C22semidirect
126. #2558C22semidirect
127. #2557C22semidirect
128. #2555C22semidirect
129. #2554C22semidirect
130. #2548C22semidirect
131. #2543C22semidirect
132. #2543C22semidirect
133. #2543C22semidirect
135. #2539C22semidirect
137. #2510C22semidirect
138. #2504C22semidirect
139. #2502C22semidirect
140. #2500C22semidirect
141. #2500C22semidirect
142. #2495C22semidirect
143. #2494C22semidirect
144. #2492C22semidirect
145. #2491C22semidirect
146. #2491C22semidirect
147. #2491C22semidirect
148. #2480C22semidirect
149. #2477C22semidirect
150. #2474C22semidirect
151. #2472C22semidirect
152. #2472C22semidirect
153. #2472C22semidirect
154. #2467C22semidirect
155. #2464C22semidirect
156. #2464C22semidirect
157. #2464C22semidirect
158. #2460C22semidirect
159. #2458C22semidirect
160. #2458C22semidirect
161. #2458C22semidirect
162. #2458C22semidirect
164. #2456C22semidirect
165. #2450C22semidirect
166. #2450C22semidirect
167. #2448C22semidirect
168. #2443C22semidirect
169. #2443C22semidirect
170. #2443C22semidirect
171. #2440C22semidirect
172. #2439C22semidirect
173. #2436C22semidirect
174. #2435C22semidirect
175. #2433C22semidirect
176. #2433C22semidirect
177. #2432C22semidirect
178. #2431C22semidirect
179. #2431C22semidirect
180. #2430C22semidirect
181. #2429C22semidirect
182. #2428C22semidirect
183. #2428C22semidirect
184. #2427C22semidirect
185. #2426C22semidirect
186. #2426C22semidirect
188. #2423C22semidirect
189. #2422C22semidirect
190. #2422C22semidirect
191. #2421C22semidirect
192. #2418C22semidirect
193. #2418C22semidirect
194. #2418C22semidirect
196. #2414C22semidirect
197. #2414C22semidirect
198. #2411C22semidirect
199. #2411C22semidirect
200. #2410C22semidirect
201. #2410C22semidirect
202. #2410C22semidirect
204. #2407C22semidirect
207. #2379C22semidirect
208. #2379C22semidirect
209. #2367C22semidirect
210. #2367C22semidirect
211. #2367C22semidirect
212. #2362C22semidirect
213. #2361C22semidirect
214. #2361C22semidirect
215. #2359C22semidirect
217. #2358C22semidirect
218. #2358C22semidirect
219. #2355C22semidirect
220. #2352C22semidirect
221. #2341C22semidirect
222. D4×C22⋊C4C22semidirect
223. D4×C22⋊C4C22semidirect
224. #2337C22semidirect
225. #2337C22semidirect
226. #2337C22semidirect
227. #2335C22semidirect
229. #2321C22semidirect
230. #2321C22semidirect
231. #2321C22semidirect
232. C4×C4⋊Q8C22semidirect
233. C4×#127C22semidirect
238. C4×#124C22semidirect
239. C4×#124C22semidirect
240. C4×#124C22semidirect
241. C4×#124C22semidirect
242. C4×#124C22semidirect
243. C4×#124C22semidirect
244. C4×#124C22semidirect
245. C4×#124C22semidirect
246. C4×#124C22semidirect
247. C4×#124C22semidirect
248. C4×#124C22semidirect
249. C4×#124C22semidirect
250. C4×#124C22semidirect
251. C4×C22⋊Q8C22semidirect
252. C4×#121C22semidirect
253. C4×#121C22semidirect
254. C4×#121C22semidirect
255. #2297C22semidirect
256. #2297C22semidirect
257. C2×#391C22semidirect
258. #2293C22semidirect
259. #2293C22semidirect
261. C2×#388C22semidirect
262. C2×#388C22semidirect
263. C2×#382C22semidirect
264. C2×C4×C22⋊C4C22semidirect
265. C2×C4×C22⋊C4C22semidirect
266. C2×C43C22semidirect
843. #124#41semidirect

Maximal subgroups

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

subgroupindex
#596442
#594142
#590872
#460162
#460152
#460052
#459962
#459882
#459772
#404332
#401292
#400562
#400022
#399532
#388312
#387682
#385772
#384862
#384242
#376042
#370382
#366392
#366312
#365802
#361482
#361232
#360962
#350802
#350782
#345292
C2×C4×#1242