Finite Group Databasebeta

← #7713032

Subgroups — #7713032

Order 512.

6754 conjugacy classes of subgroups.

The subgroup lattice has 1728 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3541C211yesmaximal, characteristic, complemented
2C22×#539C211yesmaximal, characteristic, complemented
3#48783C212yesmaximal, complemented
4#48782C212yesmaximal, complemented
5#47860C214yesmaximal, complemented
6#47859C214yesmaximal, complemented
7#47837C212yesmaximal, complemented
8#47836C212yesmaximal, complemented
9#46833C214yesmaximal, complemented
10#46820C212yesmaximal, complemented
11#46819C212yesmaximal, complemented
12#46375C214yesmaximal, complemented
13#46361C212yesmaximal, complemented
14#46360C212yesmaximal, complemented
15#39134C212yesmaximal, complemented
16#39133C212yesmaximal, complemented
17#39129C212yesmaximal, complemented
18#39128C212yesmaximal, complemented
19#39122C212yesmaximal, complemented
20#39121C212yesmaximal, complemented
21#39117C212yesmaximal, complemented
22#39116C212yesmaximal, complemented
23#37448C211yesmaximal, characteristic, complemented
24#37437C211yesmaximal, characteristic, complemented
25#36956C212yesmaximal, complemented
26#36956C212yesmaximal, complemented
27#35091C212yesmaximal, complemented
28#35057C211yesmaximal, characteristic, complemented
29#35057C211yesmaximal, characteristic, complemented
30#34986C212yesmaximal, complemented
31#34370C211yesmaximal, characteristic, complemented
32#3541—216no—
33C2×#563C2212yescomplemented
34C2×#562C2212yescomplemented
35C2×#556C2211yescharacteristic, complemented
36C2×#554C2212yes—
37C2×#554C2211yescharacteristic
38C2×#553C2212yes—
39C2×#553C2211yescharacteristic
40C2×#552C2211yescharacteristic, complemented
41C2×D4×Q8C2211yescharacteristic
42C2×#548C2211yescharacteristic
43C2×#548C2211yescharacteristic, complemented
44C2×#547C2211yescharacteristic, complemented
45C2×#542C2212yescomplemented
46C2×#542C2211yescharacteristic, complemented
47C2×#541C2211yescharacteristic, complemented
48C2×#539—216no—
49C2×#539C2212yes—
50C2×#539C2212yes—
51C2×#539C2214yes—
52C2×#539C2212yes—
53C2×#539C2212yes—
54C2×#539C2214yes—
55C2×#539C2212yescomplemented
56C2×#538C2212yes—
57C2×#538C2212yes—
58C2×#537C2211yescharacteristic, complemented
59C2×#536C2211yescharacteristic, complemented
60C22×#126C2212yes—
61C22×#125C2212yes—
62C2×#525C2211yescharacteristic
63C2×#525C2211yescharacteristic
64C22×#123C2212yes—
65C22×#123C2212yes—
66C22×C22⋊Q8C2212yes—
67C22×C22⋊Q8C2211yescharacteristic
68C22×#121C2211yescharacteristic
69C22×C4×D4C2212yes—
70C23×C4⋊C4C2211yescharacteristic
71#2855C2212yes—
72#2854C2212yes—
73#2849C2211yescharacteristic
74#2849C2212yes—
75#2849C2212yes—
76#2849C2211yescharacteristic
77#2849C2211yescharacteristic
78#2849C2211yescharacteristic
79#2848C2212yes—
80#2847C2212yes—
81#2816C2212yes—
82#2815C2212yes—
83#2813C2212yes—
84#2813C2212yes—
85#2732C2214yescomplemented
86#2732C2214yescomplemented
87#2730C2214yescomplemented
88#2730C2214yescomplemented
89#2729C2214yescomplemented
90#2729C2214yescomplemented
91#2728C2214yescomplemented
92#2728C2214yescomplemented
93#2727C2214yescomplemented
94#2725C2214yescomplemented
95#2723C2214yescomplemented
96#2721C2214yescomplemented
97#2721C2214yescomplemented
98#2721C2214yescomplemented
99#2719C2214yescomplemented
100#2719C2214yescomplemented
101#2718C2214yescomplemented
102#2718C2214yescomplemented
103#2718C2214yescomplemented
104#2718C2214yescomplemented
105#2716C2214yescomplemented
106#2714C2214yescomplemented
107#2710C2214yescomplemented
108#2710C2214yescomplemented
109#2710C2214yescomplemented
110#2710C2214yescomplemented
111#2707C2214yescomplemented
112#2706C2214yescomplemented
113#2706C2214yescomplemented
114#2706C2214yescomplemented
115#2706C2214yescomplemented
116#2705C2214yescomplemented
117#2705C2214yescomplemented
118#2703C2214yescomplemented
119#2703C2214yescomplemented
120#2703C2214yescomplemented
121#2703C2214yescomplemented
122#2702C2214yescomplemented
123#2696C2214yescomplemented
124#2694C2214yescomplemented
125#2694C2214yescomplemented
126#2694C2214yescomplemented
127#2690C2214yescomplemented
128#2690C2214yescomplemented
129#2682C2214yescomplemented
130#2681C2214yescomplemented
131#2674C2214yescomplemented
132#2673C2214yescomplemented
133#2661C2214yes—
134#2635C2212yes—
135#2635C2212yes—
136#2627C2212yes—
137#2627C2212yes—
138#2627C2212yes—
139#2626C2212yes—
140#2624C2212yes—
141#2620C2212yes—
142#2619C2212yes—
143#2618C2212yes—
144#2618C2212yes—
145#2618C2212yes—
146#2617C2212yes—
147#2615C2212yes—
148#2613C2212yes—
149#2613C2212yes—
150#2613C2212yes—
151#2613C2212yes—
152#2591C2212yescomplemented
153#2591C2212yescomplemented
154#2583C2212yescomplemented
155#2583C2212yescomplemented
156#2579C2214yescomplemented
157#2579C2212yescomplemented
158#2579C2212yescomplemented
159#2561C2212yes—
160#2561C2212yes—
161#2561C2212yes—
162#2560C2214yescomplemented
163#2558C2214yescomplemented
164#2554C2214yescomplemented
165#2554C2214yescomplemented
166#2552C2214yescomplemented
167#2550C2214yescomplemented
168#2539C2212yes—
169#2539C2212yes—
170#2539C2212yes—
171#2538C2214yescomplemented
172#2536C2214yescomplemented
173#2534C2212yes—
174#2534C2212yes—
175#2534C2212yes—
176#2534C2212yes—
177#2534C2212yes—
178#2534C2212yes—
179#2519C2214yescomplemented
180#2512C2214yescomplemented
181#2503C2211yescharacteristic
182#2503C2212yes—
183#2503C2212yes—
184#2501C2211yescharacteristic
185#2501C2212yes—
186#2501C2212yes—
187#2500C2212yes—
188#2490C2214yescomplemented
189#2489C2214yescomplemented
190#2486C2212yes—
191#2486C2212yes—
192#2486C2212yes—
193#2486C2212yes—
194#2486C2212yes—
195#2484C2212yescomplemented
196#2484C2212yescomplemented
197#2481C2214yescomplemented
198#2479C2214yescomplemented
199#2471C2214yescomplemented
200#2469C2214yescomplemented
201#2468C2214yescomplemented
202#2468C2214yescomplemented
203#2467C2214yescomplemented
204#2466C2214yescomplemented
205#2466C2214yescomplemented
206#2464C2214yescomplemented
207#2464C2214yescomplemented
208#2461C2214yescomplemented
209#2461C2214yescomplemented
210#2461C2214yescomplemented
211#2459C2214yescomplemented
212#2459C2214yescomplemented
213#2458C2214yescomplemented
214#2457C2214yescomplemented
215#2457C2214yescomplemented
216#2456C2214yescomplemented
217#2456C2214yescomplemented
218#2456C2214yescomplemented
219#2455C2214yescomplemented
220#2455C2214yescomplemented
221#2454C2214yescomplemented
222#2453C2214yescomplemented
223#2445C2214yescomplemented
224#2443C2214yescomplemented
225#2442C2214yescomplemented
226#2441C2214yescomplemented
227#2435C2211yescharacteristic
228#2433C2211yescharacteristic
229#2431C2212yes—
230#2429C2214yescomplemented
231#2426C2214yescomplemented
232#2423C2214yescomplemented
233#2421C2214yescomplemented
234#2414C2214yes—
235#2413C2212yescomplemented
236#2413C2212yescomplemented
237#2413C2214yescomplemented
238#2409C2214yescomplemented
239#2408C2212yes—
240#2407C2214yescomplemented
241#2406C2212yescomplemented
242#2406C2212yescomplemented
243#2378C2212yescomplemented
244#2378C2212yescomplemented
245#2362C2214yescomplemented
246#2345C2212yes—
247#2345C2212yes—
248#2345C2212yes—
249Q8×C22⋊C4C2212yes—
250#2332C2212yescomplemented
251#2332C2212yescomplemented
252#2323C2214yescomplemented
253#2322C2212yes—
254#2322C2212yes—
255#2322C2212yes—
256#2322C2212yes—
257#2322C2212yes—
258#2322C2212yes—
259#2321C2212yes—
260#2321C2212yes—
261#2312C2212yes—
262#2312C2212yes—
263C4×#123C2212yes—
264C4×#123C2212yes—
265C4×#120C2212yes—
266C4×#120C2212yes—
267#2280C2211yescharacteristic
268#2280C2211yescharacteristic
269C22×#41C2311yescharacteristic
270C22×#41C2311yescharacteristic
271C22×#41C2311yescharacteristic
272C23×Q8C2311yescharacteristic
273C23×Q8C2311yescharacteristic
274C23×D4C2312yes—
275C23×D4C2311yescharacteristic
276C24×C4C2311yescharacteristic
277C24×C4C2312yes—
278C24×C4C2311yescharacteristic
279C24×C4C2311yescharacteristic
280#563—216no—
281#562—216no—
282#556—28no—
283#554—28no—
284#554—216no—
285#553—216no—
286#553—28no—
287#552—28no—
288D4×Q8—28no—
289#548—28no—
290#548—28no—
291#547—28no—
292#542—28no—
293#542—216no—
294#541—28no—
295#539—216no—
296#539—216no—
297#539—232no—
298#539—216no—
299#539—216no—
300#539—232no—
301#539—216no—
302#538—216no—
303#538—216no—
304#537—28no—
305#536—28no—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×#127C2312yes—
311C2×#126—216no—
312C2×#126C2314yes—
313C2×#126C2314yes—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#126C2312yes—
317C2×#126C2312yes—
318C2×#126C2312yes—
319C2×#126C2312yes—
320C2×#126C2312yes—
321C2×#126C2312yes—
322C2×#126C2312yes—
323C2×#125—216no—
324C2×#125C2314yes—
325C2×#125C2314yes—
326C2×#125C2314yes—
327C2×#125C2314yes—
328C2×#125C2312yes—
329C2×#125C2312yes—
330C2×#125C2312yes—
331C2×#125C2311yescharacteristic
332C2×#125C2312yes—
333C2×#124C2312yes—
334C2×#124C2312yes—
335C2×#124C2312yes—
336C2×#124C2312yes—
337C2×#124C2312yes—
338C2×#124C2311yescharacteristic
339C2×#124C2312yes—
340#525—28no—
341#525—28no—
342C2×#123—216no—
343C2×#123—216no—
344C2×#123C2312yes—
345C2×#123C2314yes—
346C2×#123C2314yes—
347C2×#123C2314yes—
348C2×#123C2314yes—
349C2×#123C2314yes—
350C2×#123C2314yes—
351C2×#123C2314yes—
352C2×#123C2314yes—
353C2×#123C2311yescharacteristic
354C2×#123C2311yescharacteristic
355C2×#123C2312yes—
356C2×#123C2312yes—
357C2×#123C2312yes—
358C2×#123C2312yes—
359C2×#123C2312yes—
360C2×#123C2312yes—
361C2×#123C2312yes—
362C2×#123C2312yes—
363C2×#123C2312yes—
364C2×#123C2312yes—
365C2×#123C2312yes—
366C2×#123C2312yes—
367C2×#123C2312yes—
368C2×#123C2312yes—
369C2×#123C2312yes—
370C2×#123C2312yes—
371C2×#123C2314yes—
372C2×#123C2312yes—
373C2×C22⋊Q8—216no—
374C2×C22⋊Q8D4116yescomplemented
375C2×C22⋊Q8C2312yes—
376C2×C22⋊Q8C2311yescharacteristic
377C2×C22⋊Q8C2311yescharacteristic
378C2×C22⋊Q8C2312yes—
379C2×C22⋊Q8C2312yes—
380C2×C22⋊Q8C2311yescharacteristic
381C2×C22⋊Q8C2311yescharacteristic
382C2×C22⋊Q8C2314yes—
383C2×C22⋊Q8C2314yes—
384C2×C22⋊Q8C2314yes—
385C2×C22⋊Q8C2314yes—
386C2×C22⋊Q8C2311yescharacteristic
387C2×C22⋊Q8C2311yescharacteristic
388C2×C22⋊Q8C2312yes—
389C2×C22⋊Q8C2311yescharacteristic
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2312yes—
392C2×C22⋊Q8C2312yes—
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2314yes—
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2311yescharacteristic
397C2×C22⋊Q8C2311yescharacteristic
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2311yescharacteristic
400C2×C22⋊Q8C2311yescharacteristic
401C2×#121—28no—
402C2×#121C2312yes—
403C2×#121C2311yescharacteristic
404C2×#121C2311yescharacteristic
405C2×#121C2312yes—
406C2×#121C2312yes—
407C2×#121C2312yes—
408C2×#121C2311yescharacteristic
409C2×#121C2311yescharacteristic
410C2×#121C2312yes—
411C2×#121C2312yes—
412C2×#121C2312yes—
413C2×#121C2312yes—
414C2×#121C2312yes—
415C2×#121C2311yescharacteristic
416C2×#121C2312yes—
417C2×#121C2312yes—
418C2×#121C2314yes—
419C2×#121C2314yes—
420C2×#120C2311yescharacteristic
421C2×#120C2312yes—
422C2×#120C2311yescharacteristic
423C2×#120C2312yes—
424C2×#120C2312yes—
425C2×#120C2312yes—
426C2×#120C2312yes—
427C2×C4×Q8C2311yescharacteristic
428C2×C4×Q8C2311yescharacteristic
429C2×C4×Q8C2311yescharacteristic
430C2×C4×Q8C2312yes—
431C2×C4×Q8C2314yes—
432C2×C4×D4—216no—
433C2×C4×D4C2312yes—
434C2×C4×D4C2312yes—
435C2×C4×D4C2312yes—
436C2×C4×D4C2311yescharacteristic
437C2×C4×D4C2311yescharacteristic
438C2×C4×D4C2312yes—
439C2×C4×D4C2312yes—
440C2×C4×D4C2311yescharacteristic
441C2×C4×D4C2311yescharacteristic
442C2×C4×D4C2312yes—
443C2×C4×D4C2314yes—
444C2×C4×D4C2314yes—
445C2×C4×D4C2314yes—
446C2×C4×D4C2314yes—
447C2×C4×D4C2312yes—
448C2×C4×D4C2311yescharacteristic
449C2×C4×D4C2314yes—
450C2×C4×D4C2314yes—
451C2×#117C2311yescharacteristic
452C2×#117C2311yescharacteristic
453C2×#117C2311yescharacteristic
454C2×#117C2312yes—
455C2×#117C2312yes—
456C2×#117C2312yes—
457C22×C4⋊C4—28no—
458C22×C4⋊C4C2312yes—
459C22×C4⋊C4C2312yes—
460C22×C4⋊C4C2312yes—
461C22×C4⋊C4C2312yes—
462C22×C4⋊C4C2312yes—
463C22×C4⋊C4C2312yes—
464C22×C4⋊C4C2312yes—
465C22×C4⋊C4C2311yescharacteristic
466C22×C4⋊C4C2312yes—
467C22×C4⋊C4C2312yes—
468C22×C4⋊C4C2311yescharacteristic
469C22×C4⋊C4C2312yes—
470C22×C4⋊C4C2312yes—
471C22×C4⋊C4C2311yescharacteristic
472C22×C22⋊C4C2312yes—
473C22×C22⋊C4C2312yes—
474C22×C22⋊C4C2312yes—
475C22×C22⋊C4C2312yes—
476C22×C22⋊C4C2312yes—
477C22×C42C2312yes—
478#400C2314yes—
479#400C2314yes—
480#400C2314yes—
481#400C2312yes—
482#400C2312yes—
483#400C2314yes—
484#400C2314yes—
485#400C2314yes—
486#400C2314yes—
487#399C2314yes—
488#399C2314yes—
489#399C2312yes—
490#399C2312yes—
491#399C2314yes—
492#399C2314yes—
493#399C2314yes—
494#399C2314yes—
495#399C2314yes—
496#399C2314yes—
497#398C2314yes—
498#398C2314yes—
499#398C2314yes—
500#398C2314yes—
501#398C2314yes—
502#398C2314yes—
503#398C2314yes—
504#398C2314yes—
505#398C2314yes—
506#398C2314yes—
507#398C2314yes—
508#398C2314yes—
509#398C2314yes—
510#398C2314yes—
511#397C2314yes—
512#397C2314yes—
513#397C2314yes—
514#397C2314yes—
515#397C2314yes—
516#397C2314yes—
517#397C2314yes—
518#397C2314yes—
519#397C2314yes—
520#396C2314yes—
521#396C2314yes—
522#396C2314yes—
523#396C2314yes—
524#396C2314yes—
525#396C2314yes—
526#396C2314yes—
527#396C2314yes—
528#396C2314yes—
529#396C2314yes—
530#396C2314yes—
531#396C2314yes—
532#396C2314yes—
533#396C2314yes—
534#395C2314yes—
535#395C2314yes—
536#395C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2314yes—
544#394C2314yes—
545#394C2314yes—
546#394C2314yes—
547#394C2314yes—
548#394C2314yes—
549#394C2314yes—
550#394C2314yes—
551#394C2314yes—
552#394C2314yes—
553#394C2312yes—
554#394C2312yes—
555#394C2314yes—
556#394C2314yes—
557#394C2314yes—
558#394C2314yes—
559#393C2314yes—
560#393C2314yes—
561#393C2314yes—
562#393C2314yes—
563#392C2314yes—
564#392C2314yes—
565#392C2314yes—
566#392C2314yes—
567#392C2314yes—
568#392C2314yes—
569#392C2314yes—
570#392C2314yes—
571#392C2314yes—
572#392C2314yes—
573#392C2312yes—
574#392C2312yes—
575#392C2314yes—
576#392C2314yes—
577#392C2314yes—
578#391C2314yes—
579#391C2314yes—
580#391C2314yes—
581#391C2314yes—
582#391C2314yes—
583#391C2312yes—
584#391C2314yes—
585#390C2314yes—
586#390C2314yes—
587#390C2314yes—
588#390C2312yes—
589#390C2312yes—
590#390C2312yes—
591#390C2314yes—
592#390C2314yes—
593#390C2314yes—
594#390C2314yes—
595#390C2314yes—
596#390C2314yes—
597#390C2314yes—
598#390C2314yes—
599#390C2314yes—
600#389C2314yes—
601#389C2314yes—
602#389C2314yes—
603#389C2314yes—
604#389C2314yes—
605#389C2314yes—
606#389C2314yes—
607#389C2314yes—
608#389C2314yes—
609#389C2314yes—
610#389C2314yes—
611#389C2314yes—
612#389C2314yes—
613#389C2314yes—
614#389C2314yes—
615#389C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#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#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#386C2314yes—
667#386C2312yes—
668#386C2312yes—
669#386C2314yes—
670#386C2314yes—
671#386C2312yes—
672#386C2312yes—
673#386C2312yes—
674#386C2314yes—
675#386C2312yes—
676#386C2312yes—
677#386C2314yes—
678#386C2312yes—
679#386C2314yes—
680#386C2314yes—
681#386C2312yes—
682#386C2314yes—
683#386C2312yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#385C2312yes—
692#385C2312yes—
693#385C2312yes—
694#385C2312yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2312yes—
702#385C2314yes—
703#385C2312yes—
704#385C2312yes—
705#385C2314yes—
706#385C2312yes—
707#385C2314yes—
708#385C2314yes—
709#385C2312yes—
710#385C2314yes—
711#385C2312yes—
712#385C2314yes—
713#385C2314yes—
714#384C2312yes—
715#384C2314yes—
716#384C2314yes—
717#382C2312yes—
718#382C2314yes—
719#382C2314yes—
720#381C2312yes—
721#381C2312yes—
722#381C2312yes—
723#381C2312yes—
724#381C2312yes—
725#381C2312yes—
726#381C2312yes—
727#381C2312yes—
728#381C2312yes—
729#381C2314yes—
730#381C2312yes—
731#381C2312yes—
732#381C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2314yes—
740#380C2314yes—
741#380C2312yes—
742#380C2312yes—
743#380C2314yes—
744#380C2314yes—
745#380C2314yes—
746#380C2314yes—
747#380C2314yes—
748#379C2312yes—
749#379C2312yes—
750#379C2312yes—
751#379C2312yes—
752#379C2312yes—
753#379C2311yescharacteristic
754#379C2311yescharacteristic
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2314yes—
760C4×C22⋊C4C2314yes—
761C4×C22⋊C4C2312yes—
762C4×C22⋊C4C2312yes—
763C4×C22⋊C4C2312yes—
764C4×C22⋊C4C2312yes—
765C4×C22⋊C4C2312yes—
766C4×C22⋊C4C2311yescharacteristic
767C4×C22⋊C4C2311yescharacteristic
768C4×C22⋊C4C2312yes—
769C4×C22⋊C4C2312yes—
770C4×C22⋊C4C2314yes—
771C4×C22⋊C4C2314yes—
772C4×C22⋊C4C2314yes—
773C25C2412yes—
774C25C2411yescharacteristic
775C2×#41—24no—
776C2×#41—24no—
777C2×#41—24no—
778C2×#41—82no—
779C2×#41—82no—
780C2×#41—82no—
781C22×Q8—24no—
782C22×Q8—82no—
783C22×Q8—82no—
784C22×Q8C2×D418yes—
785C22×Q8C2412yes—
786C22×Q8C2411yescharacteristic
787C22×Q8C2412yes—
788C22×Q8C2411yescharacteristic
789C22×Q8C2412yes—
790C22×Q8C2411yescharacteristic
791C22×Q8C2411yescharacteristic
792C22×D4—28no—
793C22×D4—24no—
794C22×D4—44no—
795C22×D4—44no—
796C22×D4—82no—
797C22×D4C2412yes—
798C22×D4C2411yescharacteristic
799C22×D4C2411yescharacteristic
800C22×D4C2414yes—
801C22×D4C2414yes—
802C22×D4C2411yescharacteristic
803C22×D4C2412yes—
804C22×D4C2411yescharacteristic
805C22×D4C2412yes—
806C22×D4C2411yescharacteristic
807C22×D4C2411yescharacteristic
808C22×D4C2412yes—
809C22×D4C2411yescharacteristic
810C22×D4C2412yes—
811C22×D4C2412yes—
812C22×D4C2411yescharacteristic
813C22×D4C2412yes—
814C22×D4C2414yes—
815C22×D4C2414yes—
816C22×D4C2414yes—
817C22×D4C2414yes—
818C23×C4—24no—
819C23×C4—24no—
820C23×C4—28no—
821C23×C4—44no—
822C23×C4—82no—
823C23×C4—82no—
824C23×C4—84no—
825C23×C4C2×D418yes—
826C23×C4C2412yes—
827C23×C4C2412yes—
828C23×C4C2412yes—
829C23×C4C2412yes—
830C23×C4C2412yes—
831C23×C4C2412yes—
832C23×C4C2412yes—
833C23×C4C2412yes—
834C23×C4C2412yes—
835C23×C4C2412yes—
836C23×C4C2412yes—
837C23×C4C2411yescharacteristic
838C23×C4C2411yescharacteristic
839C23×C4C2412yes—
840C23×C4C2414yes—
841C23×C4C2414yes—
842C23×C4C2412yes—
843C23×C4C2411yescharacteristic
844C23×C4C2412yes—
845C23×C4C2411yescharacteristic
846C23×C4C2411yescharacteristic
847C23×C4C2411yescharacteristic
848C23×C4C2411yescharacteristic
849C23×C4C2411yescharacteristic
850C4⋊Q8—24no—
851C4⋊Q8—28no—
852C4⋊Q8—28no—
853C4⋊Q8—24no—
854#127—82no—
855#126—216no—
856#126—216no—
857#126—216no—
858#126—216no—
859#126—28no—
860#126—28no—
861#126—28no—
862#126—28no—
863#126—28no—
864#126—28no—
865#126—28no—
866#125—216no—
867#125—216no—
868#125—216no—
869#125—216no—
870#125—28no—
871#125—28no—
872#125—24no—
873#125—28no—
874#125—28no—
875#124—24no—
876#124—28no—
877#124—28no—
878#124—28no—
879#124—28no—
880#124—28no—
881#124—82no—
882#123—24no—
883#123—24no—
884#123—28no—
885#123—216no—
886#123—216no—
887#123—216no—
888#123—216no—
889#123—28no—
890#123—28no—
891#123—28no—
892#123—216no—
893#123—216no—
894#123—216no—
895#123—216no—
896#123—28no—
897#123—28no—
898#123—28no—
899#123—28no—
900#123—44no—
901#123—44no—
902#123—44no—
903#123—44no—
904#123—44no—
905#123—44no—
906#123—44no—
907#123—44no—
908#123—82no—
909#123—84no—
910#123—82no—
911C22⋊Q8—216no—
912C22⋊Q8—216no—
913C22⋊Q8—216no—
914C22⋊Q8—216no—
915C22⋊Q8—24no—
916C22⋊Q8—24no—
917C22⋊Q8—28no—
918C22⋊Q8—28no—
919C22⋊Q8—24no—
920C22⋊Q8—24no—
921C22⋊Q8—24no—
922C22⋊Q8—24no—
923C22⋊Q8—28no—
924C22⋊Q8—28no—
925C22⋊Q8—24no—
926C22⋊Q8—28no—
927C22⋊Q8—28no—
928C22⋊Q8—28no—
929C22⋊Q8—28no—
930C22⋊Q8—84no—
931C22⋊Q8C2×D418yes—
932C22⋊Q8C2×D418yes—
933C22⋊Q8C2×D4116yes—
934C22⋊Q8C2×D418yes—
935C22⋊Q8C2×D418yes—
936C22⋊Q8C2×D4116yes—
937#121—28no—
938#121—28no—
939#121—28no—
940#121—28no—
941#121—24no—
942#121—24no—
943#121—24no—
944#121—24no—
945#121—28no—
946#121—28no—
947#121—24no—
948#121—28no—
949#121—28no—
950#121—28no—
951#121—28no—
952#121—28no—
953#121—84no—
954#121—84no—
955#120—24no—
956#120—28no—
957#120—24no—
958#120—44no—
959#120—44no—
960#120—44no—
961#120—44no—
962C4×Q8—24no—
963C4×Q8—24no—
964C4×Q8—24no—
965C4×Q8—28no—
966C4×Q8—84no—
967C4×D4—28no—
968C4×D4—24no—
969C4×D4—24no—
970C4×D4—24no—
971C4×D4—24no—
972C4×D4—28no—
973C4×D4—28no—
974C4×D4—28no—
975C4×D4—28no—
976C4×D4—28no—
977C4×D4—28no—
978C4×D4—24no—
979C4×D4—216no—
980C4×D4—216no—
981C4×D4—216no—
982C4×D4—216no—
983C4×D4—84no—
984C4×D4—84no—
985#117—24no—
986#117—24no—
987#117—24no—
988#117—28no—
989#117—82no—
990#117—82no—
991C2×C4⋊C4—28no—
992C2×C4⋊C4—28no—
993C2×C4⋊C4—28no—
994C2×C4⋊C4—28no—
995C2×C4⋊C4—28no—
996C2×C4⋊C4—28no—
997C2×C4⋊C4—28no—
998C2×C4⋊C4—24no—
999C2×C4⋊C4—28no—
1000C2×C4⋊C4—28no—
1001C2×C4⋊C4—24no—
1002C2×C4⋊C4—28no—
1003C2×C4⋊C4C2×D4116yes—
1004C2×C4⋊C4C2×D418yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C4⋊C4C2411yescharacteristic
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2411yescharacteristic
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2411yescharacteristic
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2411yescharacteristic
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2412yes—
1064C2×C22⋊C4—28no—
1065C2×C22⋊C4—28no—
1066C2×C22⋊C4—28no—
1067C2×C22⋊C4—28no—
1068C2×C22⋊C4C2×D4116yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2411yescharacteristic
1078C2×C22⋊C4C2411yescharacteristic
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2411yescharacteristic
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2411yescharacteristic
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2411yescharacteristic
1086C2×C22⋊C4C2411yescharacteristic
1087C2×C22⋊C4C2411yescharacteristic
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2411yescharacteristic
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2411yescharacteristic
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2411yescharacteristic
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2412yes—
1138C2×C42—28no—
1139C2×C42C2412yes—
1140C2×C42C2411yescharacteristic
1141C2×C42C2411yescharacteristic
1142C2×C42C2412yes—
1143C2×C42C2412yes—
1144C2×C42C2412yes—
1145C2×C42C2414yes—
1146C2×C42C2414yes—
1147C2×C42C2412yes—
1148C2×C42C2414yes—
1149C2×C42C2412yes—
1150C2×C42C2412yes—
1151C2×C42C2414yes—
1152C2×C42C2414yes—
1153C2×C42C2414yes—
1154C2×C42C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192C24—24no—
1193C24—24no—
1194C24—24no—
1195C24—24no—
1196C24—42no—
1197C24—42no—
1198C24—44no—
1199C24—44no—
1200C24C22×D414yes—
1201C24C2514yes—
1202C24C2512yes—
1203C24C2511yescharacteristic
1204C24C2511yescharacteristic
1205C24C2511yescharacteristic
1206C24C2511yescharacteristic
1207C24C2511yescharacteristic
1208#41—88no—
1209#41—88no—
1210#41—88no—
1211C2×Q8—22no—
1212C2×Q8—24no—
1213C2×Q8—22no—
1214C2×Q8—24no—
1215C2×Q8—44no—
1216C2×Q8—42no—
1217C2×Q8—42no—
1218C2×Q8—42no—
1219C2×Q8—44no—
1220C2×Q8—42no—
1221C2×Q8—44no—
1222C2×Q8—88no—
1223C2×Q8—88no—
1224C2×Q8C22×D414yes—
1225C2×Q8C22×D414yes—
1226C2×Q8C22×D418yes—
1227C2×D4—22no—
1228C2×D4—22no—
1229C2×D4—24no—
1230C2×D4—28no—
1231C2×D4—28no—
1232C2×D4—24no—
1233C2×D4—24no—
1234C2×D4—24no—
1235C2×D4—24no—
1236C2×D4—22no—
1237C2×D4—24no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—24no—
1241C2×D4—22no—
1242C2×D4—22no—
1243C2×D4—24no—
1244C2×D4—22no—
1245C2×D4—24no—
1246C2×D4—24no—
1247C2×D4—24no—
1248C2×D4—44no—
1249C2×D4—44no—
1250C2×D4—44no—
1251C2×D4—44no—
1252C2×D4—42no—
1253C2×D4—44no—
1254C2×D4—44no—
1255C2×D4—44no—
1256C2×D4—44no—
1257C2×D4—44no—
1258C2×D4—44no—
1259C2×D4—42no—
1260C2×D4—44no—
1261C2×D4—42no—
1262C2×D4—42no—
1263C2×D4—42no—
1264C2×D4—42no—
1265C2×D4—44no—
1266C2×D4—44no—
1267C2×D4—44no—
1268C2×D4—42no—
1269C2×D4—44no—
1270C2×D4—42no—
1271C2×D4—44no—
1272C2×D4—44no—
1273C2×D4—44no—
1274C2×D4—44no—
1275C2×D4—44no—
1276C2×D4—44no—
1277C2×D4—432no—
1278C2×D4—88no—
1279C22×C4—24no—
1280C22×C4—24no—
1281C22×C4—24no—
1282C22×C4—24no—
1283C22×C4—24no—
1284C22×C4—24no—
1285C22×C4—24no—
1286C22×C4—24no—
1287C22×C4—24no—
1288C22×C4—24no—
1289C22×C4—24no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—24no—
1293C22×C4—24no—
1294C22×C4—24no—
1295C22×C4—24no—
1296C22×C4—24no—
1297C22×C4—28no—
1298C22×C4—28no—
1299C22×C4—42no—
1300C22×C4—42no—
1301C22×C4—44no—
1302C22×C4—44no—
1303C22×C4—44no—
1304C22×C4—42no—
1305C22×C4—42no—
1306C22×C4—44no—
1307C22×C4—42no—
1308C22×C4—42no—
1309C22×C4—44no—
1310C22×C4—42no—
1311C22×C4—42no—
1312C22×C4—44no—
1313C22×C4—44no—
1314C22×C4—44no—
1315C22×C4—44no—
1316C22×C4—44no—
1317C22×C4—44no—
1318C22×C4—44no—
1319C22×C4—42no—
1320C22×C4—44no—
1321C22×C4—42no—
1322C22×C4—44no—
1323C22×C4—44no—
1324C22×C4—416no—
1325C22×C4—88no—
1326C22×C4—816no—
1327C22×C4—88no—
1328C22×C4C22×D418yes—
1329C22×C4C22×D414yes—
1330C22×C4C22×D418yes—
1331C22×C4C22×D414yes—
1332C22×C4C22×D414yes—
1333C22×C4C22×D414yes—
1334C22×C4C22×D414yes—
1335C22×C4C22×D414yes—
1336C22×C4C2514yes—
1337C22×C4C2514yes—
1338C22×C4C2514yes—
1339C22×C4C2511yescharacteristic
1340C22×C4C2512yes—
1341C22×C4C2511yescharacteristic
1342C22×C4C2514yes—
1343C22×C4C2511yescharacteristic
1344C22×C4C2514yes—
1345C22×C4C2514yes—
1346C22×C4C2512yes—
1347C22×C4C2514yes—
1348C22×C4C2511yescharacteristic
1349C22×C4C2512yes—
1350C22×C4C2511yescharacteristic
1351C22×C4C2511yescharacteristic
1352C22×C4C2511yescharacteristic
1353C22×C4C2512yes—
1354C22×C4C2512yes—
1355C22×C4C2511yescharacteristic
1356C22×C4C2512yes—
1357C22×C4C2512yes—
1358C22×C4C2511yescharacteristic
1359C22×C4C2511yescharacteristic
1360C4⋊C4—28no—
1361C4⋊C4—28no—
1362C4⋊C4—28no—
1363C4⋊C4—28no—
1364C4⋊C4—22no—
1365C4⋊C4—22no—
1366C4⋊C4—28no—
1367C4⋊C4—28no—
1368C4⋊C4—24no—
1369C4⋊C4—24no—
1370C4⋊C4—24no—
1371C4⋊C4—24no—
1372C4⋊C4—28no—
1373C4⋊C4—28no—
1374C4⋊C4—24no—
1375C4⋊C4—28no—
1376C4⋊C4—28no—
1377C4⋊C4—22no—
1378C4⋊C4—22no—
1379C4⋊C4—22no—
1380C4⋊C4—24no—
1381C4⋊C4—22no—
1382C4⋊C4—22no—
1383C4⋊C4—24no—
1384C4⋊C4—24no—
1385C4⋊C4—24no—
1386C4⋊C4—22no—
1387C4⋊C4—24no—
1388C4⋊C4—24no—
1389C4⋊C4—24no—
1390C4⋊C4—24no—
1391C4⋊C4—24no—
1392C4⋊C4—24no—
1393C4⋊C4—24no—
1394C4⋊C4—44no—
1395C4⋊C4—44no—
1396C4⋊C4—44no—
1397C4⋊C4—44no—
1398C4⋊C4—44no—
1399C4⋊C4—44no—
1400C4⋊C4—44no—
1401C4⋊C4—44no—
1402C4⋊C4—44no—
1403C4⋊C4—44no—
1404C4⋊C4—44no—
1405C4⋊C4—44no—
1406C4⋊C4—44no—
1407C4⋊C4—44no—
1408C4⋊C4—44no—
1409C4⋊C4—44no—
1410C4⋊C4—44no—
1411C4⋊C4—44no—
1412C4⋊C4C22×D414yes—
1413C4⋊C4C22×D418yes—
1414C4⋊C4C22×D418yes—
1415C4⋊C4C22×D414yes—
1416C4⋊C4C22×D418yes—
1417C4⋊C4C22×D418yes—
1418C4⋊C4C22×D418yes—
1419C22⋊C4—22no—
1420C22⋊C4—24no—
1421C22⋊C4—22no—
1422C22⋊C4—22no—
1423C22⋊C4—24no—
1424C22⋊C4—22no—
1425C22⋊C4—22no—
1426C22⋊C4—24no—
1427C22⋊C4—22no—
1428C22⋊C4—24no—
1429C22⋊C4—24no—
1430C22⋊C4—24no—
1431C22⋊C4—24no—
1432C22⋊C4—28no—
1433C22⋊C4—28no—
1434C22⋊C4—28no—
1435C22⋊C4—28no—
1436C22⋊C4—28no—
1437C22⋊C4—28no—
1438C22⋊C4—28no—
1439C22⋊C4—28no—
1440C22⋊C4—22no—
1441C22⋊C4—24no—
1442C22⋊C4—24no—
1443C22⋊C4—22no—
1444C22⋊C4—24no—
1445C22⋊C4—24no—
1446C22⋊C4—24no—
1447C22⋊C4—22no—
1448C22⋊C4—24no—
1449C22⋊C4—22no—
1450C22⋊C4—24no—
1451C22⋊C4—24no—
1452C22⋊C4—24no—
1453C22⋊C4—24no—
1454C22⋊C4—42no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—42no—
1460C22⋊C4—44no—
1461C22⋊C4—42no—
1462C22⋊C4—44no—
1463C22⋊C4—42no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—44no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C22⋊C4—44no—
1483C22⋊C4—44no—
1484C22⋊C4C22×D418yes—
1485C22⋊C4C22×D418yes—
1486C22⋊C4C22×D418yes—
1487C22⋊C4C22×D418yes—
1488C42—28no—
1489C42—28no—
1490C42—24no—
1491C42—22no—
1492C42—22no—
1493C42—24no—
1494C42—24no—
1495C42—24no—
1496C42—24no—
1497C42—44no—
1498C42—44no—
1499C42—44no—
1500C42—42no—
1501C42—42no—
1502C42—44no—
1503C42—44no—
1504C23—22no—
1505C23—22no—
1506C23—22no—
1507C23—22no—
1508C23—22no—
1509C23—22no—
1510C23—22no—
1511C23—22no—
1512C23—28no—
1513C23—24no—
1514C23—21no—
1515C23—21no—
1516C23—22no—
1517C23—22no—
1518C23—22no—
1519C23—22no—
1520C23—22no—
1521C23—24no—
1522C23—24no—
1523C23—24no—
1524C23—22no—
1525C23—24no—
1526C23—22no—
1527C23—24no—
1528C23—24no—
1529C23—24no—
1530C23—22no—
1531C23—24no—
1532C23—22no—
1533C23—44no—
1534C23—44no—
1535C23—416no—
1536C23—48no—
1537C23—48no—
1538C23—48no—
1539C23—88no—
1540C23—88no—
1541C23C23×D412yes—
1542C23C23×D412yes—
1543C23C23×D412yes—
1544C23#58514yes—
1545C23C2611yescharacteristic
1546Q8—44no—
1547Q8—48no—
1548Q8—44no—
1549Q8—44no—
1550Q8—84no—
1551Q8—84no—
1552Q8—82no—
1553D4—44no—
1554D4—416no—
1555D4—416no—
1556D4—48no—
1557D4—44no—
1558D4—44no—
1559D4—84no—
1560D4—84no—
1561D4—84no—
1562D4—82no—
1563D4—84no—
1564D4—82no—
1565D4—84no—
1566D4—82no—
1567D4—82no—
1568D4—82no—
1569D4—84no—
1570D4—88no—
1571D4—88no—
1572D4—164no—
1573D4—164no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—24no—
1577C2×C4—24no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—24no—
1581C2×C4—24no—
1582C2×C4—22no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—22no—
1587C2×C4—21no—
1588C2×C4—24no—
1589C2×C4—24no—
1590C2×C4—21no—
1591C2×C4—22no—
1592C2×C4—24no—
1593C2×C4—21no—
1594C2×C4—24no—
1595C2×C4—24no—
1596C2×C4—24no—
1597C2×C4—24no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—24no—
1602C2×C4—24no—
1603C2×C4—24no—
1604C2×C4—24no—
1605C2×C4—22no—
1606C2×C4—24no—
1607C2×C4—24no—
1608C2×C4—24no—
1609C2×C4—24no—
1610C2×C4—24no—
1611C2×C4—24no—
1612C2×C4—22no—
1613C2×C4—24no—
1614C2×C4—22no—
1615C2×C4—24no—
1616C2×C4—24no—
1617C2×C4—24no—
1618C2×C4—24no—
1619C2×C4—22no—
1620C2×C4—24no—
1621C2×C4—22no—
1622C2×C4—44no—
1623C2×C4—44no—
1624C2×C4—44no—
1625C2×C4—44no—
1626C2×C4—48no—
1627C2×C4—44no—
1628C2×C4—44no—
1629C2×C4—48no—
1630C2×C4—44no—
1631C2×C4—44no—
1632C2×C4—48no—
1633C2×C4—48no—
1634C2×C4—48no—
1635C2×C4—48no—
1636C2×C4—48no—
1637C2×C4—84no—
1638C2×C4—84no—
1639C2×C4—88no—
1640C2×C4—88no—
1641C2×C4—84no—
1642C2×C4—84no—
1643C2×C4—84no—
1644C2×C4—84no—
1645C2×C4—84no—
1646C2×C4C23×D414yes—
1647C2×C4C23×D414yes—
1648C2×C4C23×D412yes—
1649C2×C4C23×D412yes—
1650C2×C4C23×D414yes—
1651C2×C4C23×D414yes—
1652C2×C4C23×D412yes—
1653C2×C4C23×D412yes—
1654C22—22no—
1655C22—22no—
1656C22—28no—
1657C22—22no—
1658C22—22no—
1659C22—22no—
1660C22—22no—
1661C22—22no—
1662C22—22no—
1663C22—416no—
1664C22—44no—
1665C22—44no—
1666C22—44no—
1667C22—42no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—42no—
1673C22—44no—
1674C22—41no—
1675C22—42no—
1676C22—41no—
1677C22—44no—
1678C22—44no—
1679C22—44no—
1680C22—44no—
1681C22—44no—
1682C22—44no—
1683C22—44no—
1684C22—44no—
1685C22—44no—
1686C22—816no—
1687C22#348714yes—
1688C22C24×D411yescharacteristic
1689C22C2×#58512yes—
1690C22H(7,𝔽2)12yes—
1691C222−1+612yes—
1692C4—22no—
1693C4—22no—
1694C4—22no—
1695C4—22no—
1696C4—24no—
1697C4—24no—
1698C4—24no—
1699C4—24no—
1700C4—44no—
1701C4—44no—
1702C4—42no—
1703C4—41no—
1704C4—41no—
1705C4—44no—
1706C4—41no—
1707C4—41no—
1708C4—42no—
1709C4—41no—
1710C4—42no—
1711C4—41no—
1712C4—44no—
1713C4—44no—
1714C4—44no—
1715C4—44no—
1716C2—24no—
1717C2—42no—
1718C2—42no—
1719C2—81no—
1720C2—81no—
1721C2—82no—
1722C2—84no—
1723C2C2×#348711yescharacteristic
1724C2#6284211yescharacteristic
1725C2#6285911yescharacteristic
1726C2#6286814yes—
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×#3541C2semidirect
2. C22×#539C2semidirect
3. #48783C2semidirect
4. #48782C2semidirect
5. #47860C2semidirect
6. #47859C2semidirect
7. #47837C2semidirect
8. #47836C2semidirect
9. #46833C2semidirect
10. #46820C2semidirect
11. #46819C2semidirect
12. #46375C2semidirect
13. #46361C2semidirect
14. #46360C2semidirect
15. #39134C2semidirect
16. #39133C2semidirect
17. #39129C2semidirect
18. #39128C2semidirect
19. #39122C2semidirect
20. #39121C2semidirect
21. #39117C2semidirect
22. #39116C2semidirect
23. #37448C2semidirect
24. #37437C2semidirect
25. #36956C2semidirect
26. #36956C2semidirect
27. #35091C2semidirect
28. #35057C2semidirect
29. #35057C2semidirect
30. #34986C2semidirect
31. #34370C2semidirect
33. C2×#563C22semidirect
34. C2×#562C22semidirect
35. C2×#556C22semidirect
40. C2×#552C22semidirect
43. C2×#548C22semidirect
44. C2×#547C22semidirect
45. C2×#542C22semidirect
46. C2×#542C22semidirect
47. C2×#541C22semidirect
55. C2×#539C22semidirect
58. C2×#537C22semidirect
59. C2×#536C22semidirect
85. #2732C22semidirect
86. #2732C22semidirect
87. #2730C22semidirect
88. #2730C22semidirect
89. #2729C22semidirect
90. #2729C22semidirect
91. #2728C22semidirect
92. #2728C22semidirect
93. #2727C22semidirect
94. #2725C22semidirect
95. #2723C22semidirect
96. #2721C22semidirect
97. #2721C22semidirect
98. #2721C22semidirect
99. #2719C22semidirect
100. #2719C22semidirect
101. #2718C22semidirect
102. #2718C22semidirect
103. #2718C22semidirect
104. #2718C22semidirect
105. #2716C22semidirect
106. #2714C22semidirect
107. #2710C22semidirect
108. #2710C22semidirect
109. #2710C22semidirect
110. #2710C22semidirect
111. #2707C22semidirect
112. #2706C22semidirect
113. #2706C22semidirect
114. #2706C22semidirect
115. #2706C22semidirect
116. #2705C22semidirect
117. #2705C22semidirect
118. #2703C22semidirect
119. #2703C22semidirect
120. #2703C22semidirect
121. #2703C22semidirect
122. #2702C22semidirect
123. #2696C22semidirect
124. #2694C22semidirect
125. #2694C22semidirect
126. #2694C22semidirect
127. #2690C22semidirect
128. #2690C22semidirect
129. #2682C22semidirect
130. #2681C22semidirect
131. #2674C22semidirect
132. #2673C22semidirect
152. #2591C22semidirect
153. #2591C22semidirect
154. #2583C22semidirect
155. #2583C22semidirect
156. #2579C22semidirect
157. #2579C22semidirect
158. #2579C22semidirect
162. #2560C22semidirect
163. #2558C22semidirect
164. #2554C22semidirect
165. #2554C22semidirect
166. #2552C22semidirect
167. #2550C22semidirect
171. #2538C22semidirect
172. #2536C22semidirect
179. #2519C22semidirect
180. #2512C22semidirect
188. #2490C22semidirect
189. #2489C22semidirect
195. #2484C22semidirect
196. #2484C22semidirect
197. #2481C22semidirect
198. #2479C22semidirect
199. #2471C22semidirect
200. #2469C22semidirect
201. #2468C22semidirect
202. #2468C22semidirect
203. #2467C22semidirect
204. #2466C22semidirect
205. #2466C22semidirect
206. #2464C22semidirect
207. #2464C22semidirect
208. #2461C22semidirect
209. #2461C22semidirect
210. #2461C22semidirect
211. #2459C22semidirect
212. #2459C22semidirect
213. #2458C22semidirect
214. #2457C22semidirect
215. #2457C22semidirect
216. #2456C22semidirect
217. #2456C22semidirect
218. #2456C22semidirect
219. #2455C22semidirect
220. #2455C22semidirect
221. #2454C22semidirect
222. #2453C22semidirect
223. #2445C22semidirect
224. #2443C22semidirect
225. #2442C22semidirect
226. #2441C22semidirect
230. #2429C22semidirect
231. #2426C22semidirect
232. #2423C22semidirect
233. #2421C22semidirect
235. #2413C22semidirect
236. #2413C22semidirect
237. #2413C22semidirect
238. #2409C22semidirect
240. #2407C22semidirect
241. #2406C22semidirect
242. #2406C22semidirect
243. #2378C22semidirect
244. #2378C22semidirect
245. #2362C22semidirect
250. #2332C22semidirect
251. #2332C22semidirect
252. #2323C22semidirect
374. C2×C22⋊Q8D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35412
C22×#5392
#487832
#487822
#478602
#478592
#478372
#478362
#468332
#468202
#468192
#463752
#463612
#463602
#391342
#391332
#391292
#391282
#391222
#391212
#391172
#391162
#374482
#374372
#369562
#350912
#350572
#349862
#343702