Finite Group Databasebeta

← #7693992

Subgroups — #7693992

Order 512.

10793 conjugacy classes of subgroups.

The subgroup lattice has 1768 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3499C211yesmaximal, characteristic, complemented
2C2×#3489C211yesmaximal, characteristic, complemented
3C2×#3487C211yesmaximal, characteristic, complemented
4C2×#3497C211yesmaximal, characteristic, complemented
5#59125C213yesmaximal, complemented
6#59066C213yesmaximal, complemented
7#59002C213yesmaximal, complemented
8#52096C213yesmaximal, complemented
9#45387C213yesmaximal, complemented
10#45241C213yesmaximal, complemented
11#45093C213yesmaximal, complemented
12#45091C213yesmaximal, complemented
13#44892C213yesmaximal, complemented
14#44884C213yesmaximal, complemented
15#39335C213yesmaximal, complemented
16#39334C213yesmaximal, complemented
17#37682C213yesmaximal, complemented
18#37675C213yesmaximal, complemented
19#37656C213yesmaximal, complemented
20#37651C213yesmaximal, complemented
21#36434C211yesmaximal, characteristic, complemented
22#36430C211yesmaximal, characteristic, complemented
23#36428C211yesmaximal, characteristic, complemented
24#35927C211yesmaximal, characteristic, complemented
25#35757C211yesmaximal, characteristic, complemented
26#35737C211yesmaximal, characteristic, complemented
27#35700C211yesmaximal, characteristic, complemented
28#35687C211yesmaximal, characteristic, complemented
29#35687C211yesmaximal, characteristic, complemented
30#34295C211yesmaximal, characteristic, complemented
31#34291C211yesmaximal, characteristic, complemented
32C22×2−1+4C2211yescharacteristic
33C22×2−1+4C2211yescharacteristic
34C22×2−1+4C2211yescharacteristic, complemented
35C23×#41C2211yescharacteristic
36#3499—216no—
37#3497—216no—
38#3489—216no—
39#3487—216no—
40C2×#550C2213yes—
41C2×#550C2211yescharacteristic
42C2×#550C2213yes—
43C2×#550C2211yescharacteristic
44C2×#550C2213yescomplemented
45C2×D4×Q8C2211yescharacteristic
46C2×D4×Q8C2211yescharacteristic
47C2×D4×Q8C2211yescharacteristic
48C2×D4×Q8C2213yescomplemented
49C2×D4×Q8C2211yescharacteristic, complemented
50C2×D4×Q8C2211yescharacteristic, complemented
51C2×D4×Q8C2211yescharacteristic, complemented
52C2×D4×Q8C2211yescharacteristic, complemented
53C2×#548C2213yes—
54C2×#548C2213yes—
55C2×#548C2211yescharacteristic
56C2×#548C2211yescharacteristic
57C2×#548C2211yescharacteristic
58C2×#548C2211yescharacteristic
59C2×#548C2211yescharacteristic
60C2×#548C2211yescharacteristic
61C2×#548C2213yescomplemented
62C2×#548C2211yescharacteristic, complemented
63C2×#548C2213yescomplemented
64C2×#547C2213yes—
65C2×#547C2213yes—
66C2×#547C2213yes—
67C2×#547C2213yes—
68C2×#547C2213yescomplemented
69C2×#547C2213yescomplemented
70C2×#546C2213yes—
71C2×#546C2213yes—
72C2×#537C2213yes—
73C2×#537C2213yescomplemented
74C2×#537C2213yescomplemented
75C2×#536C2213yes—
76C2×#536C2213yes—
77C2×#536C2213yescomplemented
78C2×#535C2213yes—
79C2×#535C2213yes—
80C2×#532C2213yes—
81C2×#532C2213yescomplemented
82C2×#532C2213yescomplemented
83C22×C4⋊Q8C2213yescomplemented
84C2×#525C2213yes—
85C2×#525C2213yes—
86C2×#525C2213yes—
87C22×C22⋊Q8C2213yes—
88C2×#520C2211yescharacteristic
89C2×#519C2211yescharacteristic
90C2×C4×#41C2211yescharacteristic, complemented
91C22×C4×Q8C2211yescharacteristic, complemented
92#2850C2213yescomplemented
93#2850C2213yescomplemented
94#2848C2213yes—
95#2682C2216yescomplemented
96#2681C2216yescomplemented
97#2680C2216yes—
98#2678C2216yes—
99#2677C2216yescomplemented
100#2677C2213yescomplemented
101#2676C2213yescomplemented
102#2676C2213yescomplemented
103#2675C2213yescomplemented
104#2674C2213yes—
105#2674C2216yescomplemented
106#2674C2216yescomplemented
107#2674C2213yescomplemented
108#2673C2211yescharacteristic
109#2673C2216yescomplemented
110#2673C2213yescomplemented
111#2673C2216yescomplemented
112#2673C2216yescomplemented
113#2672C2213yes—
114#2672C2213yescomplemented
115#2671C2213yes—
116#2671C2216yescomplemented
117#2671C2216yescomplemented
118#2671C2213yescomplemented
119#2670C2213yes—
120#2669C2213yes—
121#2669C2213yes—
122#2668C2216yes—
123#2668C2213yes—
124#2658C2213yescomplemented
125#2621C2213yes—
126#2621C2213yescomplemented
127#2616C2213yes—
128#2616C2213yescomplemented
129#2615C2213yescomplemented
130#2555C2216yescomplemented
131#2547C2213yescomplemented
132#2546C2213yescomplemented
133#2545C2213yescomplemented
134#2544C2213yescomplemented
135#2542C2213yescomplemented
136#2542C2213yescomplemented
137#2542C2213yescomplemented
138#2540C2213yescomplemented
139#2540C2213yescomplemented
140#2540C2213yescomplemented
141#2536C2213yescomplemented
142#2536C2213yescomplemented
143#2535C2213yescomplemented
144#2535C2213yescomplemented
145#2491C2216yescomplemented
146#2472C2216yes—
147#2464C2216yescomplemented
148#2461C2216yescomplemented
149#2449C2216yescomplemented
150#2449C2216yescomplemented
151#2445C2216yescomplemented
152#2443C2216yescomplemented
153#2443C2216yescomplemented
154#2443C2216yescomplemented
155#2443C2216yescomplemented
156#2443C2216yescomplemented
157#2443C2216yescomplemented
158#2440C2216yescomplemented
159#2436C2213yescomplemented
160#2435C2213yes—
161#2434C2213yescomplemented
162#2434C2213yescomplemented
163#2432C2213yes—
164#2432C2213yes—
165#2432C2213yes—
166#2432C2213yescomplemented
167#2432C2213yescomplemented
168#2432C2213yescomplemented
169#2431C2213yescomplemented
170#2431C2213yescomplemented
171#2429C2213yescomplemented
172#2429C2213yescomplemented
173#2429C2213yescomplemented
174#2428C2213yescomplemented
175#2428C2216yescomplemented
176#2427C2213yescomplemented
177#2427C2213yescomplemented
178#2427C2213yescomplemented
179#2426C2213yescomplemented
180#2424C2216yes—
181#2422C2216yescomplemented
182#2418C2216yes—
183#2418C2216yes—
184#2417C2213yescomplemented
185#2417C2213yescomplemented
186#2417C2213yescomplemented
187#2416C2213yescomplemented
188#2416C2216yescomplemented
189#2415C2213yes—
190#2415C2213yes—
191#2415C2213yescomplemented
192#2414C2213yescomplemented
193#2409C2213yescomplemented
194#2409C2213yescomplemented
195#2409C2213yescomplemented
196#2408C2213yes—
197#2407C2213yes—
198#2407C2213yes—
199#2407C2213yes—
200#2407C2213yescomplemented
201#2407C2213yescomplemented
202#2407C2213yescomplemented
203#2407C2213yescomplemented
204#2407C2213yescomplemented
205#2397C2213yescomplemented
206#2392C2213yes—
207#2392C2213yescomplemented
208#2388C2213yes—
209#2388C2213yescomplemented
210#2388C2213yescomplemented
211#2366C2213yescomplemented
212#2365C2213yescomplemented
213#2363C2213yescomplemented
214#2362C2213yes—
215#2361C2213yescomplemented
216#2360C2213yescomplemented
217#2352C2213yes—
218#2352C2213yescomplemented
219#2351C2211yescharacteristic, complemented
220#2351C2211yescharacteristic, complemented
221D4×C4⋊C4C2216yescomplemented
222#2341C2211yescharacteristic
223#2341C2211yescharacteristic
224#2341C2211yescharacteristic, complemented
225Q8×C22⋊C4C2211yescharacteristic
226Q8×C22⋊C4C2211yescharacteristic, complemented
227Q8×C22⋊C4C2211yescharacteristic, complemented
228Q8×C22⋊C4C2211yescharacteristic, complemented
229Q8×C22⋊C4C2211yescharacteristic, complemented
230#2328C2213yescomplemented
231#2327C2213yescomplemented
232#2324C2213yescomplemented
233#2323C2213yes—
234C4×C22⋊Q8C2213yescomplemented
235C4×#121C2213yescomplemented
236C4×#121C2213yescomplemented
237C4×#121C2213yescomplemented
238C4×#120C2213yes—
239#2290C2213yes—
240#2290C2213yescomplemented
241#2276C2211yescharacteristic, complemented
242C2×2−1+4—28no—
243C2×2−1+4—28no—
244C2×2−1+4—28no—
245C2×2−1+4—28no—
246C2×2−1+4—28no—
247C2×2−1+4—28no—
248C2×2−1+4—44no—
249C2×2−1+4—44no—
250C2×2−1+4—44no—
251C22×#41—28no—
252C22×#41—28no—
253C22×#41—44no—
254C22×#41C2311yescharacteristic
255C22×#41C2313yes—
256C22×#41C2313yes—
257C22×#41C2313yes—
258C22×#41C2313yes—
259C22×#41C2313yes—
260C22×#41C2313yes—
261C22×#41C2313yes—
262C22×#41C2313yes—
263C22×#41C2313yes—
264C22×#41C2313yes—
265C22×#41C2313yes—
266C22×#41C2311yescharacteristic
267C22×#41C2311yescharacteristic
268C23×Q8C2311yescharacteristic
269C23×Q8C2311yescharacteristic
270C23×Q8C2311yescharacteristic
271C23×Q8C2313yes—
272C23×Q8C2313yes—
273C23×Q8C2313yes—
274C23×Q8C2311yescharacteristic
275C23×Q8C2311yescharacteristic
276C23×D4C2313yes—
277C24×C4C2313yes—
278#550—28no—
279#550—224no—
280#550—224no—
281#550—224no—
282#550D4116yescomplemented
283D4×Q8—28no—
284D4×Q8—28no—
285D4×Q8—28no—
286D4×Q8—28no—
287D4×Q8—28no—
288D4×Q8—224no—
289D4×Q8—44no—
290D4×Q8D4116yescomplemented
291#548—28no—
292#548—28no—
293#548—28no—
294#548—28no—
295#548—224no—
296#548—224no—
297#548—224no—
298#548—28no—
299#548—28no—
300#548—224no—
301#548—44no—
302#547—224no—
303#547—224no—
304#547—224no—
305#547—224no—
306#547—224no—
307#547—224no—
308#546—224no—
309#546—224no—
310#537—224no—
311#537—224no—
312#537—224no—
313#536—224no—
314#536—224no—
315#536—224no—
316#535—224no—
317#535—224no—
318#532—224no—
319#532—224no—
320#532—224no—
321C2×C4⋊Q8—224no—
322C2×C4⋊Q8C2313yes—
323C2×C4⋊Q8C2313yes—
324C2×C4⋊Q8C2313yes—
325C2×C4⋊Q8C2316yes—
326C2×C4⋊Q8C2313yes—
327C2×C4⋊Q8C2313yes—
328C2×C4⋊Q8C2313yes—
329C2×C4⋊Q8C2313yes—
330C2×C4⋊Q8C2313yes—
331C2×C4⋊Q8C2313yes—
332C2×#127C2311yescharacteristic
333C2×#127C2313yes—
334C2×#127C2316yes—
335C2×#127C2313yes—
336C2×#127C2313yes—
337C2×#124C2313yes—
338C2×#124C2313yes—
339C2×#124C2313yes—
340C2×#124C2313yes—
341C2×#124C2313yes—
342C2×#124C2313yes—
343C2×#124C2316yes—
344C2×#124C2313yes—
345C2×#124C2313yes—
346C2×#124C2313yes—
347C2×#124C2313yes—
348C2×#124C2313yes—
349#525—224no—
350#525—224no—
351#525—224no—
352C2×#123C2313yes—
353C2×#123C2311yescharacteristic
354C2×#123C2313yes—
355C2×#123C2313yes—
356C2×#123C2316yes—
357C2×#123C2316yes—
358C2×#123C2316yes—
359C2×#123C2316yes—
360C2×#123C2316yes—
361C2×#123C2316yes—
362C2×C22⋊Q8—224no—
363C2×C22⋊Q8C2313yes—
364C2×C22⋊Q8C2313yes—
365C2×C22⋊Q8C2313yes—
366C2×C22⋊Q8C2313yes—
367C2×C22⋊Q8C2313yes—
368C2×C22⋊Q8C2313yes—
369C2×C22⋊Q8C2313yes—
370C2×C22⋊Q8C2313yes—
371C2×C22⋊Q8C2313yes—
372C2×C22⋊Q8C2313yes—
373C2×C22⋊Q8C2313yes—
374C2×C22⋊Q8C2313yes—
375C2×C22⋊Q8C2316yes—
376C2×C22⋊Q8C2313yes—
377C2×C22⋊Q8C2313yes—
378C2×C22⋊Q8C2313yes—
379C2×C22⋊Q8C2313yes—
380C2×C22⋊Q8C2313yes—
381C2×C22⋊Q8C2313yes—
382C2×C22⋊Q8C2313yes—
383C2×C22⋊Q8C2313yes—
384C2×C22⋊Q8C2316yes—
385C2×C22⋊Q8C2316yes—
386C2×C22⋊Q8C2313yes—
387C2×C22⋊Q8C2313yes—
388C2×C22⋊Q8C2313yes—
389C2×C22⋊Q8C2313yes—
390C2×C22⋊Q8C2313yes—
391C2×#121C2313yes—
392C2×#121C2313yes—
393C2×#121C2313yes—
394C2×#121C2313yes—
395C2×#121C2313yes—
396C2×#121C2313yes—
397C2×#121C2311yescharacteristic
398C2×#121C2313yes—
399C2×#121C2313yes—
400C2×#121C2313yes—
401C2×#121C2313yes—
402C2×#121C2313yes—
403C2×#121C2316yes—
404C2×#121C2313yes—
405C2×#121C2313yes—
406C2×#121C2313yes—
407C2×#121C2313yes—
408C2×#121C2316yes—
409C2×#121C2316yes—
410C2×#121C2316yes—
411C2×#121C2313yes—
412C2×#121C2316yes—
413C2×#121C2316yes—
414C2×#121C2313yes—
415C2×#121C2311yescharacteristic
416C2×#121C2313yes—
417C2×#121C2316yes—
418C2×#121C2313yes—
419C2×#121C2313yes—
420C2×#121C2313yes—
421C2×#121C2313yes—
422C2×#121C2313yes—
423C2×#120C2313yes—
424C2×#120C2313yes—
425C2×#120C2316yes—
426C2×#120C2313yes—
427C2×#120C2313yes—
428C2×#120C2313yes—
429#520—28no—
430#519—28no—
431C4×#41—28no—
432C2×C4×Q8—28no—
433C2×C4×Q8C2313yes—
434C2×C4×Q8C2313yes—
435C2×C4×Q8C2311yescharacteristic
436C2×C4×Q8C2311yescharacteristic
437C2×C4×Q8C2311yescharacteristic
438C2×C4×Q8C2311yescharacteristic
439C2×C4×Q8C2311yescharacteristic
440C2×C4×Q8C2313yes—
441C2×C4×Q8C2313yes—
442C2×C4×Q8C2311yescharacteristic
443C2×C4×Q8C2311yescharacteristic
444C2×C4×D4C2313yes—
445C2×C4×D4C2313yes—
446C2×C4×D4C2316yes—
447C2×C4×D4C2316yes—
448C2×C4×D4C2313yes—
449C2×C4×D4C2313yes—
450C2×C4×D4C2313yes—
451C2×C4×D4C2313yes—
452C2×C4×D4C2313yes—
453C2×C4×D4C2313yes—
454C2×C4×D4C2313yes—
455C2×C4×D4C2313yes—
456C2×C4×D4C2313yes—
457C2×C4×D4C2313yes—
458C2×C4×D4C2313yes—
459C2×C4×D4C2313yes—
460C2×C4×D4C2313yes—
461C2×C4×D4C2313yes—
462C2×C4×D4C2316yes—
463C2×C4×D4C2316yes—
464C2×C4×D4C2316yes—
465C2×C4×D4C2313yes—
466C2×C4×D4C2313yes—
467C2×C4×D4C2313yes—
468C2×C4×D4C2313yes—
469C2×#117C2313yes—
470C2×#117C2313yes—
471C2×#117C2313yes—
472C2×#117C2313yes—
473C22×C4⋊C4C2316yes—
474C22×C4⋊C4C2316yes—
475C22×C4⋊C4C2313yes—
476C22×C4⋊C4C2313yes—
477C22×C4⋊C4C2316yes—
478C22×C22⋊C4C2316yes—
479C22×C42C2313yes—
480C22×C42C2313yes—
481#399C2313yes—
482#399C2313yes—
483#399C2313yes—
484#399C2313yes—
485#399C2316yes—
486#399C2316yes—
487#399C2316yes—
488#398C2316yes—
489#398C2316yes—
490#398C2313yes—
491#398C2316yes—
492#398C2313yes—
493#398C2316yes—
494#397C2313yes—
495#397C2316yes—
496#397C2316yes—
497#397C2316yes—
498#397C2313yes—
499#397C2316yes—
500#396C2313yes—
501#396C2313yes—
502#396C2313yes—
503#396C2313yes—
504#396C2316yes—
505#396C2316yes—
506#395C2316yes—
507#395C2316yes—
508#395C2313yes—
509#395C2313yes—
510#395C2313yes—
511#394C2313yes—
512#394C2316yes—
513#394C2316yes—
514#394C2313yes—
515#394C2316yes—
516#394C2316yes—
517#394C2313yes—
518#394C2313yes—
519#394C2311yescharacteristic
520#394C2313yes—
521#394C2313yes—
522#394C2313yes—
523#394C2313yes—
524#394C2313yes—
525#394C2313yes—
526#394C2313yes—
527#394C2311yescharacteristic
528#394C2313yes—
529#394C2313yes—
530#394C2316yes—
531#394C2316yes—
532#394C2316yes—
533#394C2316yes—
534#394C2316yes—
535#394C2316yes—
536#393C2316yes—
537#393C2313yes—
538#393C2313yes—
539#393C2313yes—
540#392C2313yes—
541#392C2316yes—
542#392C2316yes—
543#392C2311yescharacteristic
544#392C2313yes—
545#392C2313yes—
546#392C2311yescharacteristic
547#392C2313yes—
548#392C2313yes—
549#392C2313yes—
550#392C2313yes—
551#392C2311yescharacteristic
552#392C2313yes—
553#392C2311yescharacteristic
554#392C2313yes—
555#392C2313yes—
556#392C2313yes—
557#392C2316yes—
558#392C2316yes—
559#391C2313yes—
560#391C2313yes—
561#391C2313yes—
562#391C2313yes—
563#391C2313yes—
564#391C2313yes—
565#391C2313yes—
566#391C2313yes—
567#391C2313yes—
568#391C2313yes—
569#390C2313yes—
570#390C2316yes—
571#390C2313yes—
572#390C2313yes—
573#390C2313yes—
574#390C2313yes—
575#390C2313yes—
576#390C2313yes—
577#390C2313yes—
578#390C2316yes—
579#390C2316yes—
580#390C2316yes—
581#389C2313yes—
582#389C2316yes—
583#389C2313yes—
584#389C2313yes—
585#389C2316yes—
586#389C2313yes—
587#389C2313yes—
588#389C2316yes—
589#389C2313yes—
590#388C2313yes—
591#388C2316yes—
592#388C2316yes—
593#388C2313yes—
594#388C2316yes—
595#388C2316yes—
596#388C2316yes—
597#388C2313yes—
598#388C2313yes—
599#388C2313yes—
600#388C2313yes—
601#388C2316yes—
602#388C2316yes—
603#388C2311yescharacteristic
604#388C2313yes—
605#387C2316yes—
606#387C2313yes—
607#387C2316yes—
608#387C2316yes—
609#387C2313yes—
610#387C2313yes—
611#387C2311yescharacteristic
612#386C2316yes—
613#386C2313yes—
614#386C2316yes—
615#386C2316yes—
616#386C2313yes—
617#386C2316yes—
618#386C2316yes—
619#386C2316yes—
620#386C2313yes—
621#386C2313yes—
622#386C2313yes—
623#386C2313yes—
624#386C2316yes—
625#386C2316yes—
626#386C2316yes—
627#386C2316yes—
628#386C2316yes—
629#386C2311yescharacteristic
630#386C2313yes—
631#386C2313yes—
632#386C2311yescharacteristic
633#386C2311yescharacteristic
634#386C2316yes—
635#386C2316yes—
636#385C2313yes—
637#385C2313yes—
638#385C2316yes—
639#385C2316yes—
640#385C2313yes—
641#385C2316yes—
642#385C2316yes—
643#385C2316yes—
644#385C2313yes—
645#385C2313yes—
646#385C2316yes—
647#385C2316yes—
648#385C2316yes—
649#385C2316yes—
650#385C2313yes—
651#385C2313yes—
652#384C2316yes—
653#382C2313yes—
654#382C2313yes—
655#380C2313yes—
656#380C2313yes—
657#380C2313yes—
658#380C2313yes—
659#380C2313yes—
660#380C2313yes—
661#380C2313yes—
662#380C2313yes—
663#380C2313yes—
664#380C2316yes—
665#380C2313yes—
666#380C2316yes—
667#379C2316yes—
668#379C2313yes—
669C4×C4⋊C4C2313yes—
670C4×C4⋊C4C2313yes—
671C4×C4⋊C4C2316yes—
672C4×C4⋊C4C2313yes—
673C4×C4⋊C4C2313yes—
674C4×C4⋊C4C2313yes—
675C4×C22⋊C4C2313yes—
676C4×C22⋊C4C2313yes—
677C4×C22⋊C4C2313yes—
678C4×C22⋊C4C2313yes—
679C4×C22⋊C4C2313yes—
680C4×C22⋊C4C2313yes—
681C4×C22⋊C4C2313yes—
682C4×C22⋊C4C2313yes—
683C4×C22⋊C4C2316yes—
684C4×C22⋊C4C2316yes—
685#376C2313yes—
686C25C2413yes—
6872−1+4—464no—
6882−1+4—464no—
6892−1+4—464no—
690C2×#41—24no—
691C2×#41—24no—
692C2×#41—212no—
693C2×#41—212no—
694C2×#41—212no—
695C2×#41—212no—
696C2×#41—212no—
697C2×#41—24no—
698C2×#41—24no—
699C2×#41—24no—
700C2×#41—24no—
701C2×#41—24no—
702C2×#41—212no—
703C2×#41—212no—
704C2×#41—212no—
705C2×#41—212no—
706C2×#41—212no—
707C2×#41—212no—
708C2×#41—212no—
709C2×#41—212no—
710C2×#41—212no—
711C2×#41—212no—
712C2×#41—212no—
713C2×#41—212no—
714C2×#41—212no—
715C2×#41—212no—
716C2×#41—212no—
717C2×#41—212no—
718C2×#41—212no—
719C2×#41—46no—
720C2×#41—46no—
721C2×#41—46no—
722C2×#41—46no—
723C2×#41—46no—
724C2×#41—46no—
725C2×#41—46no—
726C2×#41—46no—
727C2×#41—46no—
728C2×#41—46no—
729C2×#41—46no—
730C2×#41—464no—
731C2×#41C2×D418yes—
732C2×#41C2×D418yes—
733C22×Q8—24no—
734C22×Q8—24no—
735C22×Q8—24no—
736C22×Q8—24no—
737C22×Q8—212no—
738C22×Q8—212no—
739C22×Q8—212no—
740C22×Q8—24no—
741C22×Q8—24no—
742C22×Q8—24no—
743C22×Q8—24no—
744C22×Q8—24no—
745C22×Q8—24no—
746C22×Q8—24no—
747C22×Q8—24no—
748C22×Q8—24no—
749C22×Q8—212no—
750C22×Q8—212no—
751C22×Q8—212no—
752C22×Q8—46no—
753C22×Q8—46no—
754C22×Q8—46no—
755C22×Q8C2×D418yes—
756C22×Q8C2×D418yes—
757C22×Q8C2413yes—
758C22×Q8C2413yes—
759C22×Q8C2413yes—
760C22×Q8C2413yes—
761C22×Q8C2413yes—
762C22×Q8C2413yes—
763C22×Q8C2413yes—
764C22×Q8C2413yes—
765C22×Q8C2411yescharacteristic
766C22×D4—212no—
767C22×D4—212no—
768C22×D4—46no—
769C22×D4C2413yes—
770C22×D4C2411yescharacteristic
771C22×D4C2411yescharacteristic
772C22×D4C2413yes—
773C22×D4C2411yescharacteristic
774C22×D4C2413yes—
775C22×D4C2413yes—
776C22×D4C2411yescharacteristic
777C22×D4C2413yes—
778C22×D4C2416yes—
779C22×D4C2413yes—
780C22×D4C2413yes—
781C22×D4C2411yescharacteristic
782C22×D4C2413yes—
783C22×D4C2413yes—
784C22×D4C2411yescharacteristic
785C22×D4C2411yescharacteristic
786C22×D4C2411yescharacteristic
787C22×D4C2413yes—
788C22×D4C2413yes—
789C22×D4C2413yes—
790C22×D4C2413yes—
791C22×D4C2413yes—
792C22×D4C2416yes—
793C22×D4C2413yes—
794C22×D4C2413yes—
795C22×D4C2411yescharacteristic
796C22×D4C2413yes—
797C22×D4C2411yescharacteristic
798C22×D4C2416yes—
799C22×D4C2413yes—
800C23×C4—212no—
801C23×C4—212no—
802C23×C4—46no—
803C23×C4C2413yes—
804C23×C4C2413yes—
805C23×C4C2413yes—
806C23×C4C2413yes—
807C23×C4C2416yes—
808C23×C4C2413yes—
809C23×C4C2416yes—
810C23×C4C2413yes—
811C23×C4C2416yes—
812C23×C4C2413yes—
813C23×C4C2411yescharacteristic
814C23×C4C2413yes—
815C23×C4C2413yes—
816C23×C4C2413yes—
817C23×C4C2413yes—
818C23×C4C2416yes—
819C23×C4C2413yes—
820C23×C4C2413yes—
821C23×C4C2411yescharacteristic
822C4⋊Q8—212no—
823C4⋊Q8—212no—
824C4⋊Q8—212no—
825C4⋊Q8—212no—
826C4⋊Q8—224no—
827C4⋊Q8—212no—
828C4⋊Q8—212no—
829C4⋊Q8—212no—
830C4⋊Q8—46no—
831C4⋊Q8C2×D4124yes—
832#127—24no—
833#127—212no—
834#127—224no—
835#127—212no—
836#127C2×D4124yes—
837#124—212no—
838#124—212no—
839#124—212no—
840#124—212no—
841#124—212no—
842#124—212no—
843#124—212no—
844#124—212no—
845#124—224no—
846#124—212no—
847#124—212no—
848#124—46no—
849#123—24no—
850#123—212no—
851#123—224no—
852#123—224no—
853#123—224no—
854#123—224no—
855#123—212no—
856#123—212no—
857#123—224no—
858#123—224no—
859C22⋊Q8—212no—
860C22⋊Q8—212no—
861C22⋊Q8—212no—
862C22⋊Q8—212no—
863C22⋊Q8—212no—
864C22⋊Q8—212no—
865C22⋊Q8—212no—
866C22⋊Q8—212no—
867C22⋊Q8—212no—
868C22⋊Q8—212no—
869C22⋊Q8—224no—
870C22⋊Q8—212no—
871C22⋊Q8—212no—
872C22⋊Q8—212no—
873C22⋊Q8—212no—
874C22⋊Q8—212no—
875C22⋊Q8—212no—
876C22⋊Q8—212no—
877C22⋊Q8—212no—
878C22⋊Q8—212no—
879C22⋊Q8—212no—
880C22⋊Q8—224no—
881C22⋊Q8—224no—
882C22⋊Q8—46no—
883C22⋊Q8—46no—
884C22⋊Q8—46no—
885C22⋊Q8C2×D4124yes—
886C22⋊Q8C2×D4124yes—
887#121—24no—
888#121—212no—
889#121—212no—
890#121—212no—
891#121—224no—
892#121—212no—
893#121—212no—
894#121—224no—
895#121—224no—
896#121—212no—
897#121—212no—
898#121—224no—
899#121—224no—
900#121—212no—
901#121—212no—
902#121—24no—
903#121—212no—
904#121—212no—
905#121—224no—
906#121—212no—
907#121—212no—
908#121—212no—
909#121—212no—
910#121—212no—
911#121—212no—
912#121—212no—
913#121—224no—
914#121—46no—
915#121—46no—
916#121—46no—
917#121C2×D4124yes—
918#121C2×D4124yes—
919#120—212no—
920#120—224no—
921#120—212no—
922#120—212no—
923#120—212no—
924#120—46no—
925C4×Q8—24no—
926C4×Q8—24no—
927C4×Q8—24no—
928C4×Q8—24no—
929C4×Q8—24no—
930C4×Q8—212no—
931C4×Q8—212no—
932C4×Q8—212no—
933C4×Q8—212no—
934C4×Q8C2×D418yes—
935C4×Q8C2×D418yes—
936C4×D4—224no—
937C4×D4—224no—
938C4×D4—224no—
939C4×D4—212no—
940C4×D4—212no—
941C4×D4—212no—
942C4×D4—212no—
943C4×D4—212no—
944C4×D4—212no—
945C4×D4—212no—
946C4×D4—212no—
947C4×D4—212no—
948C4×D4—212no—
949C4×D4—224no—
950C4×D4—212no—
951C4×D4—212no—
952C4×D4—212no—
953C4×D4—212no—
954C4×D4—212no—
955C4×D4—212no—
956C4×D4—46no—
957C4×D4—46no—
958C4×D4—412no—
959C4×D4C2×D4124yes—
960C4×D4C2×D4124yes—
961#117—212no—
962#117—212no—
963#117—212no—
964#117—212no—
965C2×C4⋊C4—212no—
966C2×C4⋊C4—212no—
967C2×C4⋊C4—224no—
968C2×C4⋊C4—224no—
969C2×C4⋊C4—224no—
970C2×C4⋊C4C2413yes—
971C2×C4⋊C4C2413yes—
972C2×C4⋊C4C2413yes—
973C2×C4⋊C4C2413yes—
974C2×C4⋊C4C2413yes—
975C2×C4⋊C4C2413yes—
976C2×C4⋊C4C2413yes—
977C2×C4⋊C4C2413yes—
978C2×C4⋊C4C2416yes—
979C2×C4⋊C4C2416yes—
980C2×C4⋊C4C2416yes—
981C2×C4⋊C4C2416yes—
982C2×C4⋊C4C2416yes—
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2413yes—
985C2×C4⋊C4C2413yes—
986C2×C4⋊C4C2413yes—
987C2×C4⋊C4C2413yes—
988C2×C4⋊C4C2413yes—
989C2×C4⋊C4C2413yes—
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2413yes—
992C2×C4⋊C4C2413yes—
993C2×C4⋊C4C2416yes—
994C2×C4⋊C4C2413yes—
995C2×C4⋊C4C2413yes—
996C2×C4⋊C4C2413yes—
997C2×C4⋊C4C2413yes—
998C2×C4⋊C4C2413yes—
999C2×C4⋊C4C2413yes—
1000C2×C4⋊C4C2413yes—
1001C2×C4⋊C4C2416yes—
1002C2×C4⋊C4C2413yes—
1003C2×C4⋊C4C2413yes—
1004C2×C4⋊C4C2413yes—
1005C2×C4⋊C4C2416yes—
1006C2×C4⋊C4C2413yes—
1007C2×C4⋊C4C2413yes—
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C22⋊C4—224no—
1010C2×C22⋊C4C2413yes—
1011C2×C22⋊C4C2416yes—
1012C2×C22⋊C4C2416yes—
1013C2×C22⋊C4C2411yescharacteristic
1014C2×C22⋊C4C2413yes—
1015C2×C22⋊C4C2413yes—
1016C2×C22⋊C4C2413yes—
1017C2×C22⋊C4C2416yes—
1018C2×C22⋊C4C2413yes—
1019C2×C22⋊C4C2411yescharacteristic
1020C2×C22⋊C4C2411yescharacteristic
1021C2×C22⋊C4C2411yescharacteristic
1022C2×C22⋊C4C2411yescharacteristic
1023C2×C22⋊C4C2413yes—
1024C2×C22⋊C4C2413yes—
1025C2×C22⋊C4C2411yescharacteristic
1026C2×C22⋊C4C2411yescharacteristic
1027C2×C22⋊C4C2413yes—
1028C2×C22⋊C4C2413yes—
1029C2×C22⋊C4C2416yes—
1030C2×C22⋊C4C2413yes—
1031C2×C22⋊C4C2416yes—
1032C2×C22⋊C4C2413yes—
1033C2×C22⋊C4C2413yes—
1034C2×C22⋊C4C2413yes—
1035C2×C22⋊C4C2413yes—
1036C2×C22⋊C4C2416yes—
1037C2×C22⋊C4C2416yes—
1038C2×C22⋊C4C2413yes—
1039C2×C22⋊C4C2413yes—
1040C2×C22⋊C4C2413yes—
1041C2×C22⋊C4C2413yes—
1042C2×C22⋊C4C2413yes—
1043C2×C22⋊C4C2413yes—
1044C2×C22⋊C4C2413yes—
1045C2×C22⋊C4C2413yes—
1046C2×C22⋊C4C2413yes—
1047C2×C22⋊C4C2411yescharacteristic
1048C2×C22⋊C4C2411yescharacteristic
1049C2×C22⋊C4C2413yes—
1050C2×C22⋊C4C2413yes—
1051C2×C22⋊C4C2413yes—
1052C2×C22⋊C4C2416yes—
1053C2×C22⋊C4C2413yes—
1054C2×C22⋊C4C2416yes—
1055C2×C22⋊C4C2413yes—
1056C2×C22⋊C4C2411yescharacteristic
1057C2×C22⋊C4C2413yes—
1058C2×C22⋊C4C2411yescharacteristic
1059C2×C22⋊C4C2411yescharacteristic
1060C2×C22⋊C4C2411yescharacteristic
1061C2×C22⋊C4C2416yes—
1062C2×C22⋊C4C2413yes—
1063C2×C22⋊C4C2413yes—
1064C2×C22⋊C4C2413yes—
1065C2×C22⋊C4C2413yes—
1066C2×C22⋊C4C2413yes—
1067C2×C22⋊C4C2413yes—
1068C2×C22⋊C4C2416yes—
1069C2×C22⋊C4C2413yes—
1070C2×C22⋊C4C2413yes—
1071C2×C22⋊C4C2413yes—
1072C2×C22⋊C4C2413yes—
1073C2×C42—212no—
1074C2×C42—212no—
1075C2×C42C2413yes—
1076C2×C42C2413yes—
1077C2×C42C2413yes—
1078C2×C42C2416yes—
1079C2×C42C2413yes—
1080C2×C42C2413yes—
1081C2×C42C2413yes—
1082C2×C42C2413yes—
1083C2×C42C2413yes—
1084C2×C42C2411yescharacteristic
1085C2×C42C2416yes—
1086C2×C42C2413yes—
1087C2×C42C2413yes—
1088#95C2411yescharacteristic
1089#95C2413yes—
1090#95C2413yes—
1091#95C2413yes—
1092#95C2411yescharacteristic
1093#95C2413yes—
1094#95C2411yescharacteristic
1095#95C2411yescharacteristic
1096#95C2413yes—
1097#95C2413yes—
1098#95C2413yes—
1099#95C2413yes—
1100#95C2413yes—
1101#95C2416yes—
1102#95C2413yes—
1103#95C2413yes—
1104#95C2416yes—
1105#95C2416yes—
1106#95C2413yes—
1107#95C2413yes—
1108#95C2413yes—
1109#95C2413yes—
1110#95C2413yes—
1111#95C2411yescharacteristic
1112#95C2411yescharacteristic
1113#95C2416yes—
1114#95C2413yes—
1115#95C2413yes—
1116#95C2416yes—
1117#95C2416yes—
1118#95C2416yes—
1119C24—26no—
1120C24—26no—
1121C24—43no—
1122C24—43no—
1123C24—43no—
1124C24—43no—
1125C24—43no—
1126C24C2513yes—
1127C24C2511yescharacteristic
1128C24C2511yescharacteristic
1129C24C2511yescharacteristic
1130C24C2511yescharacteristic
1131C24C2513yes—
1132C24C2513yes—
1133C24C2511yescharacteristic
1134#41—232no—
1135#41—232no—
1136#41—448no—
1137#41—448no—
1138#41—448no—
1139#41—448no—
1140#41—448no—
1141#41—448no—
1142#41—448no—
1143#41—448no—
1144#41—448no—
1145#41—448no—
1146#41—448no—
1147#41—416no—
1148C2×Q8—232no—
1149C2×Q8—232no—
1150C2×Q8—26no—
1151C2×Q8—26no—
1152C2×Q8—26no—
1153C2×Q8—26no—
1154C2×Q8—26no—
1155C2×Q8—26no—
1156C2×Q8—26no—
1157C2×Q8—26no—
1158C2×Q8—26no—
1159C2×Q8—26no—
1160C2×Q8—26no—
1161C2×Q8—26no—
1162C2×Q8—26no—
1163C2×Q8—26no—
1164C2×Q8—26no—
1165C2×Q8—26no—
1166C2×Q8—26no—
1167C2×Q8—26no—
1168C2×Q8—26no—
1169C2×Q8—43no—
1170C2×Q8—43no—
1171C2×Q8—43no—
1172C2×Q8—448no—
1173C2×Q8—448no—
1174C2×Q8—448no—
1175C2×Q8—416no—
1176C2×Q8—416no—
1177C2×Q8—416no—
1178C2×Q8C22×D4112yes—
1179C2×Q8C22×D4112yes—
1180C2×Q8C22×D414yes—
1181C2×Q8C22×D414yes—
1182C2×Q8H(5,𝔽2)14yes—
1183C2×D4—22no—
1184C2×D4—22no—
1185C2×D4—22no—
1186C2×D4—26no—
1187C2×D4—26no—
1188C2×D4—22no—
1189C2×D4—26no—
1190C2×D4—26no—
1191C2×D4—26no—
1192C2×D4—26no—
1193C2×D4—212no—
1194C2×D4—26no—
1195C2×D4—26no—
1196C2×D4—26no—
1197C2×D4—22no—
1198C2×D4—22no—
1199C2×D4—26no—
1200C2×D4—26no—
1201C2×D4—212no—
1202C2×D4—26no—
1203C2×D4—26no—
1204C2×D4—26no—
1205C2×D4—26no—
1206C2×D4—26no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—26no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—212no—
1214C2×D4—26no—
1215C2×D4—26no—
1216C2×D4—26no—
1217C2×D4—26no—
1218C2×D4—26no—
1219C2×D4—26no—
1220C2×D4—26no—
1221C2×D4—26no—
1222C2×D4—26no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—448no—
1226C2×D4—41no—
1227C2×D4—46no—
1228C2×D4—46no—
1229C2×D4—46no—
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—41no—
1234C2×D4—41no—
1235C2×D4—41no—
1236C2×D4—43no—
1237C2×D4—43no—
1238C2×D4—41no—
1239C2×D4—41no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—41no—
1243C2×D4—41no—
1244C2×D4—41no—
1245C2×D4—41no—
1246C2×D4—41no—
1247C2×D4—43no—
1248C2×D4—43no—
1249C2×D4—43no—
1250C2×D4—43no—
1251C2×D4—43no—
1252C2×D4—43no—
1253C2×D4—43no—
1254C2×D4—43no—
1255C2×D4—43no—
1256C2×D4—43no—
1257C2×D4—43no—
1258C2×D4—43no—
1259C2×D4—43no—
1260C2×D4—43no—
1261C2×D4—43no—
1262C2×D4—43no—
1263C2×D4—43no—
1264C2×D4—43no—
1265C2×D4—43no—
1266C2×D4—43no—
1267C2×D4—43no—
1268C2×D4—46no—
1269C2×D4—43no—
1270C2×D4—46no—
1271C2×D4—43no—
1272C2×D4C22×D4112yes—
1273C2×D4C22×D4112yes—
1274C2×D4C22×D4112yes—
1275C2×D4C22×D4124yes—
1276C2×D4C22×D414yes—
1277C22×C4—26no—
1278C22×C4—26no—
1279C22×C4—26no—
1280C22×C4—26no—
1281C22×C4—26no—
1282C22×C4—26no—
1283C22×C4—26no—
1284C22×C4—26no—
1285C22×C4—212no—
1286C22×C4—26no—
1287C22×C4—212no—
1288C22×C4—212no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—26no—
1292C22×C4—26no—
1293C22×C4—212no—
1294C22×C4—26no—
1295C22×C4—212no—
1296C22×C4—212no—
1297C22×C4—26no—
1298C22×C4—26no—
1299C22×C4—26no—
1300C22×C4—26no—
1301C22×C4—26no—
1302C22×C4—26no—
1303C22×C4—26no—
1304C22×C4—26no—
1305C22×C4—26no—
1306C22×C4—26no—
1307C22×C4—22no—
1308C22×C4—26no—
1309C22×C4—26no—
1310C22×C4—26no—
1311C22×C4—26no—
1312C22×C4—26no—
1313C22×C4—26no—
1314C22×C4—212no—
1315C22×C4—41no—
1316C22×C4—43no—
1317C22×C4—43no—
1318C22×C4—43no—
1319C22×C4—43no—
1320C22×C4—43no—
1321C22×C4—41no—
1322C22×C4—41no—
1323C22×C4—46no—
1324C22×C4—46no—
1325C22×C4—46no—
1326C22×C4—448no—
1327C22×C4—46no—
1328C22×C4—43no—
1329C22×C4—46no—
1330C22×C4—43no—
1331C22×C4C22×D4112yes—
1332C22×C4C22×D4112yes—
1333C22×C4C22×D4112yes—
1334C22×C4C22×D4112yes—
1335C22×C4C2511yescharacteristic
1336C22×C4C2513yes—
1337C22×C4C2513yes—
1338C22×C4C2511yescharacteristic
1339C22×C4C2513yes—
1340C22×C4C2513yes—
1341C22×C4C2511yescharacteristic
1342C22×C4C2511yescharacteristic
1343C22×C4C2513yes—
1344C22×C4C2513yes—
1345C22×C4C2513yes—
1346C22×C4C2513yes—
1347C22×C4C2511yescharacteristic
1348C22×C4C2511yescharacteristic
1349C22×C4C2511yescharacteristic
1350C22×C4C2513yes—
1351C22×C4C2513yes—
1352C22×C4C2511yescharacteristic
1353C22×C4C2513yes—
1354C22×C4C2513yes—
1355C22×C4C2511yescharacteristic
1356C22×C4C2511yescharacteristic
1357C22×C4C2513yes—
1358C4⋊C4—26no—
1359C4⋊C4—26no—
1360C4⋊C4—26no—
1361C4⋊C4—26no—
1362C4⋊C4—26no—
1363C4⋊C4—26no—
1364C4⋊C4—26no—
1365C4⋊C4—212no—
1366C4⋊C4—26no—
1367C4⋊C4—212no—
1368C4⋊C4—212no—
1369C4⋊C4—212no—
1370C4⋊C4—212no—
1371C4⋊C4—22no—
1372C4⋊C4—26no—
1373C4⋊C4—26no—
1374C4⋊C4—26no—
1375C4⋊C4—26no—
1376C4⋊C4—26no—
1377C4⋊C4—26no—
1378C4⋊C4—22no—
1379C4⋊C4—26no—
1380C4⋊C4—26no—
1381C4⋊C4—26no—
1382C4⋊C4—212no—
1383C4⋊C4—26no—
1384C4⋊C4—26no—
1385C4⋊C4—26no—
1386C4⋊C4—43no—
1387C4⋊C4—43no—
1388C4⋊C4—43no—
1389C4⋊C4—43no—
1390C4⋊C4—43no—
1391C4⋊C4—46no—
1392C4⋊C4C22×D4112yes—
1393C4⋊C4C22×D4124yes—
1394C4⋊C4C22×D4112yes—
1395C4⋊C4C22×D4112yes—
1396C4⋊C4C22×D414yes—
1397C22⋊C4—26no—
1398C22⋊C4—26no—
1399C22⋊C4—22no—
1400C22⋊C4—26no—
1401C22⋊C4—26no—
1402C22⋊C4—26no—
1403C22⋊C4—212no—
1404C22⋊C4—212no—
1405C22⋊C4—212no—
1406C22⋊C4—26no—
1407C22⋊C4—26no—
1408C22⋊C4—212no—
1409C22⋊C4—212no—
1410C22⋊C4—22no—
1411C22⋊C4—26no—
1412C22⋊C4—26no—
1413C22⋊C4—26no—
1414C22⋊C4—212no—
1415C22⋊C4—22no—
1416C22⋊C4—22no—
1417C22⋊C4—22no—
1418C22⋊C4—22no—
1419C22⋊C4—22no—
1420C22⋊C4—26no—
1421C22⋊C4—26no—
1422C22⋊C4—212no—
1423C22⋊C4—26no—
1424C22⋊C4—26no—
1425C22⋊C4—26no—
1426C22⋊C4—26no—
1427C22⋊C4—26no—
1428C22⋊C4—26no—
1429C22⋊C4—26no—
1430C22⋊C4—26no—
1431C22⋊C4—26no—
1432C22⋊C4—26no—
1433C22⋊C4—26no—
1434C22⋊C4—22no—
1435C22⋊C4—43no—
1436C22⋊C4—46no—
1437C22⋊C4—41no—
1438C22⋊C4—43no—
1439C22⋊C4—43no—
1440C22⋊C4—43no—
1441C22⋊C4—43no—
1442C22⋊C4—43no—
1443C22⋊C4—41no—
1444C22⋊C4—41no—
1445C22⋊C4—46no—
1446C22⋊C4—43no—
1447C22⋊C4—41no—
1448C22⋊C4—46no—
1449C22⋊C4—41no—
1450C22⋊C4—43no—
1451C22⋊C4—43no—
1452C22⋊C4—43no—
1453C22⋊C4—43no—
1454C22⋊C4—43no—
1455C22⋊C4—46no—
1456C22⋊C4C22×D4112yes—
1457C22⋊C4C22×D4112yes—
1458C22⋊C4C22×D4112yes—
1459C22⋊C4C22×D4112yes—
1460C42—22no—
1461C42—26no—
1462C42—26no—
1463C42—26no—
1464C42—26no—
1465C42—26no—
1466C42—26no—
1467C42—212no—
1468C42—26no—
1469C42—26no—
1470C42—46no—
1471C42C22×D4112yes—
1472C42C22×D4112yes—
1473C23—21no—
1474C23—23no—
1475C23—23no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—23no—
1480C23—23no—
1481C23—23no—
1482C23—21no—
1483C23—23no—
1484C23—21no—
1485C23—21no—
1486C23—23no—
1487C23—21no—
1488C23—23no—
1489C23—23no—
1490C23—23no—
1491C23—21no—
1492C23—23no—
1493C23—23no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—23no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—23no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—23no—
1508C23—21no—
1509C23—21no—
1510C23—23no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—23no—
1516C23—21no—
1517C23—21no—
1518C23—23no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—23no—
1525C23—412no—
1526C23—412no—
1527C23—86no—
1528C23—86no—
1529C23—86no—
1530C23—86no—
1531C23—86no—
1532C23C23×D412yes—
1533C23C23×D416yes—
1534C23C23×D412yes—
1535C23C23×D416yes—
1536C23C2611yescharacteristic
1537Q8—224no—
1538Q8—224no—
1539Q8—412no—
1540Q8—412no—
1541Q8—412no—
1542Q8—412no—
1543Q8—412no—
1544Q8—412no—
1545Q8D42116yes—
1546D4—224no—
1547D4—224no—
1548D4—424no—
1549D4—44no—
1550D4—412no—
1551D4—44no—
1552D4—44no—
1553D4—424no—
1554D4—44no—
1555D4—44no—
1556D4—44no—
1557D4—412no—
1558D4—412no—
1559D4—412no—
1560D4—44no—
1561D4—44no—
1562D4—412no—
1563D4—412no—
1564D4—412no—
1565D4—44no—
1566D4—44no—
1567D4—412no—
1568D4—86no—
1569D4—86no—
1570D4—86no—
1571D4—86no—
1572D4—86no—
1573D4—86no—
1574D4—812no—
1575D4—86no—
1576D4—86no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—23no—
1580C2×C4—23no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—23no—
1585C2×C4—23no—
1586C2×C4—23no—
1587C2×C4—23no—
1588C2×C4—23no—
1589C2×C4—23no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—224no—
1596C2×C4—224no—
1597C2×C4—224no—
1598C2×C4—224no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—23no—
1603C2×C4—23no—
1604C2×C4—23no—
1605C2×C4—23no—
1606C2×C4—23no—
1607C2×C4—21no—
1608C2×C4—23no—
1609C2×C4—23no—
1610C2×C4—23no—
1611C2×C4—21no—
1612C2×C4—23no—
1613C2×C4—23no—
1614C2×C4—21no—
1615C2×C4—23no—
1616C2×C4—23no—
1617C2×C4—21no—
1618C2×C4—23no—
1619C2×C4—23no—
1620C2×C4—23no—
1621C2×C4—23no—
1622C2×C4—21no—
1623C2×C4—23no—
1624C2×C4—23no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—23no—
1630C2×C4—23no—
1631C2×C4—23no—
1632C2×C4—23no—
1633C2×C4—21no—
1634C2×C4—23no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—23no—
1638C2×C4—412no—
1639C2×C4—412no—
1640C2×C4—44no—
1641C2×C4—412no—
1642C2×C4—424no—
1643C2×C4—424no—
1644C2×C4—424no—
1645C2×C4—412no—
1646C2×C4—44no—
1647C2×C4—412no—
1648C2×C4—412no—
1649C2×C4—412no—
1650C2×C4—412no—
1651C2×C4—86no—
1652C2×C4—812no—
1653C2×C4C23×D412yes—
1654C2×C4C23×D416yes—
1655C2×C4C23×D412yes—
1656C2×C4C23×D416yes—
1657C2×C4C23×D412yes—
1658C2×C4C23×D416yes—
1659C2×C4C23×D412yes—
1660C2×C4C23×D416yes—
1661C2×C4C23×D416yes—
1662C2×C4C23×D416yes—
1663C2×C4C2×H(5,𝔽2)16yes—
1664C2×C4#58512yes—
1665C22—26no—
1666C22—26no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—26no—
1672C22—26no—
1673C22—22no—
1674C22—22no—
1675C22—26no—
1676C22—26no—
1677C22—41no—
1678C22—41no—
1679C22—43no—
1680C22—43no—
1681C22—41no—
1682C22—43no—
1683C22—43no—
1684C22—41no—
1685C22—43no—
1686C22—43no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—43no—
1691C22—43no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—43no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—43no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—43no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—43no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—43no—
1713C22—41no—
1714C22—43no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—43no—
1721C22—824no—
1722C22C24×D411yescharacteristic
1723C22C24×D411yescharacteristic
1724C22C22×H(5,𝔽2)11yescharacteristic
1725C22C2×#58511yescharacteristic
1726C222−1+611yescharacteristic
1727C222−1+611yescharacteristic
1728C222−1+611yescharacteristic
1729C4—26no—
1730C4—22no—
1731C4—26no—
1732C4—22no—
1733C4—22no—
1734C4—22no—
1735C4—22no—
1736C4—26no—
1737C4—26no—
1738C4—43no—
1739C4—41no—
1740C4—43no—
1741C4—41no—
1742C4—43no—
1743C4—41no—
1744C4—41no—
1745C4—43no—
1746C4—43no—
1747C4—41no—
1748C4—43no—
1749C4—43no—
1750C4—43no—
1751C4C2×D42112yes—
1752C2—46no—
1753C2—42no—
1754C2—46no—
1755C2—42no—
1756C2—81no—
1757C2—81no—
1758C2—81no—
1759C2—83no—
1760C2C22×D4211yescharacteristic
1761C2#6284811yescharacteristic
1762C2#6285911yescharacteristic
1763C2#6292211yescharacteristic
1764C2#6298811yescharacteristic
1765C2#6300211yescharacteristic
1766C2#6304411yescharacteristic
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×#3499C2semidirect
2. C2×#3489C2semidirect
3. C2×#3487C2semidirect
4. C2×#3497C2semidirect
5. #59125C2semidirect
6. #59066C2semidirect
7. #59002C2semidirect
8. #52096C2semidirect
9. #45387C2semidirect
10. #45241C2semidirect
11. #45093C2semidirect
12. #45091C2semidirect
13. #44892C2semidirect
14. #44884C2semidirect
15. #39335C2semidirect
16. #39334C2semidirect
17. #37682C2semidirect
18. #37675C2semidirect
19. #37656C2semidirect
20. #37651C2semidirect
21. #36434C2semidirect
22. #36430C2semidirect
23. #36428C2semidirect
24. #35927C2semidirect
25. #35757C2semidirect
26. #35737C2semidirect
27. #35700C2semidirect
28. #35687C2semidirect
29. #35687C2semidirect
30. #34295C2semidirect
31. #34291C2semidirect
34. C22×2−1+4C22semidirect
44. C2×#550C22semidirect
48. C2×D4×Q8C22semidirect
49. C2×D4×Q8C22semidirect
50. C2×D4×Q8C22semidirect
51. C2×D4×Q8C22semidirect
52. C2×D4×Q8C22semidirect
61. C2×#548C22semidirect
62. C2×#548C22semidirect
63. C2×#548C22semidirect
68. C2×#547C22semidirect
69. C2×#547C22semidirect
73. C2×#537C22semidirect
74. C2×#537C22semidirect
77. C2×#536C22semidirect
81. C2×#532C22semidirect
82. C2×#532C22semidirect
83. C22×C4⋊Q8C22semidirect
90. C2×C4×#41C22semidirect
91. C22×C4×Q8C22semidirect
92. #2850C22semidirect
93. #2850C22semidirect
95. #2682C22semidirect
96. #2681C22semidirect
99. #2677C22semidirect
100. #2677C22semidirect
101. #2676C22semidirect
102. #2676C22semidirect
103. #2675C22semidirect
105. #2674C22semidirect
106. #2674C22semidirect
107. #2674C22semidirect
109. #2673C22semidirect
110. #2673C22semidirect
111. #2673C22semidirect
112. #2673C22semidirect
114. #2672C22semidirect
116. #2671C22semidirect
117. #2671C22semidirect
118. #2671C22semidirect
124. #2658C22semidirect
126. #2621C22semidirect
128. #2616C22semidirect
129. #2615C22semidirect
130. #2555C22semidirect
131. #2547C22semidirect
132. #2546C22semidirect
133. #2545C22semidirect
134. #2544C22semidirect
135. #2542C22semidirect
136. #2542C22semidirect
137. #2542C22semidirect
138. #2540C22semidirect
139. #2540C22semidirect
140. #2540C22semidirect
141. #2536C22semidirect
142. #2536C22semidirect
143. #2535C22semidirect
144. #2535C22semidirect
145. #2491C22semidirect
147. #2464C22semidirect
148. #2461C22semidirect
149. #2449C22semidirect
150. #2449C22semidirect
151. #2445C22semidirect
152. #2443C22semidirect
153. #2443C22semidirect
154. #2443C22semidirect
155. #2443C22semidirect
156. #2443C22semidirect
157. #2443C22semidirect
158. #2440C22semidirect
159. #2436C22semidirect
161. #2434C22semidirect
162. #2434C22semidirect
166. #2432C22semidirect
167. #2432C22semidirect
168. #2432C22semidirect
169. #2431C22semidirect
170. #2431C22semidirect
171. #2429C22semidirect
172. #2429C22semidirect
173. #2429C22semidirect
174. #2428C22semidirect
175. #2428C22semidirect
176. #2427C22semidirect
177. #2427C22semidirect
178. #2427C22semidirect
179. #2426C22semidirect
181. #2422C22semidirect
184. #2417C22semidirect
185. #2417C22semidirect
186. #2417C22semidirect
187. #2416C22semidirect
188. #2416C22semidirect
191. #2415C22semidirect
192. #2414C22semidirect
193. #2409C22semidirect
194. #2409C22semidirect
195. #2409C22semidirect
200. #2407C22semidirect
201. #2407C22semidirect
202. #2407C22semidirect
203. #2407C22semidirect
204. #2407C22semidirect
205. #2397C22semidirect
207. #2392C22semidirect
209. #2388C22semidirect
210. #2388C22semidirect
211. #2366C22semidirect
212. #2365C22semidirect
213. #2363C22semidirect
215. #2361C22semidirect
216. #2360C22semidirect
218. #2352C22semidirect
219. #2351C22semidirect
220. #2351C22semidirect
221. D4×C4⋊C4C22semidirect
224. #2341C22semidirect
226. Q8×C22⋊C4C22semidirect
227. Q8×C22⋊C4C22semidirect
228. Q8×C22⋊C4C22semidirect
229. Q8×C22⋊C4C22semidirect
230. #2328C22semidirect
231. #2327C22semidirect
232. #2324C22semidirect
234. C4×C22⋊Q8C22semidirect
235. C4×#121C22semidirect
236. C4×#121C22semidirect
237. C4×#121C22semidirect
240. #2290C22semidirect
241. #2276C22semidirect
282. #550D4semidirect
290. D4×Q8D4semidirect

Maximal subgroups

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

subgroupindex
C2×#34992
C2×#34892
C2×#34872
C2×#34972
#591252
#590662
#590022
#520962
#453872
#452412
#450932
#450912
#448922
#448842
#393352
#393342
#376822
#376752
#376562
#376512
#364342
#364302
#364282
#359272
#357572
#357372
#357002
#356872
#342952
#342912