Finite Group Databasebeta

← #7688871

Subgroups — #7688871

Order 512.

8130 conjugacy classes of subgroups.

The subgroup lattice has 1576 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3524C211yesmaximal, characteristic, complemented
2C2×#3487C211yesmaximal, characteristic, complemented
3#59810C213yesmaximal, complemented
4#59806C213yesmaximal, complemented
5#59411C213yesmaximal, complemented
6#59101C213yesmaximal, complemented
7#59018C213yesmaximal, complemented
8#45097C213yesmaximal, complemented
9#45095C213yesmaximal, complemented
10#44899C213yesmaximal, complemented
11#44895C213yesmaximal, complemented
12#39438C213yesmaximal, complemented
13#39416C213yesmaximal, complemented
14#38035C213yesmaximal, complemented
15#37847C213yesmaximal, complemented
16#36467C211yesmaximal, characteristic, complemented
17#36444C211yesmaximal, characteristic, complemented
18#36432C211yesmaximal, characteristic, complemented
19#36430C211yesmaximal, characteristic, complemented
20#36428C211yesmaximal, characteristic, complemented
21#36376C213yesmaximal, complemented
22#36143C213yesmaximal, complemented
23#36005C211yesmaximal, characteristic, complemented
24#35786C211yesmaximal, characteristic, complemented
25#35771C211yesmaximal, characteristic, complemented
26#35687C211yesmaximal, characteristic, complemented
27#34829C213yesmaximal, complemented
28#34311C211yesmaximal, characteristic, complemented
29#34259C211yesmaximal, characteristic, complemented
30C4×#550C211yesmaximal, characteristic, complemented
31C22⋊C4×#41C211yesmaximal, characteristic, complemented
32C22×2−1+4C2211yescharacteristic
33C23×#41C2211yescharacteristic
34#3524—216no—
35#3487—216no—
36C2×#559C2213yescomplemented
37C2×#557C2211yescharacteristic, complemented
38C2×#555C2213yescomplemented
39C2×#553C2213yescomplemented
40C2×#552C2213yescomplemented
41C2×#550C2213yes—
42C2×#550C2211yescharacteristic
43C2×#550C2213yes—
44C2×#550C2211yescharacteristic
45C2×D4×Q8C2211yescharacteristic
46C2×D4×Q8C2211yescharacteristic, complemented
47C2×#548C2213yes—
48C2×#548C2213yes—
49C2×#548C2211yescharacteristic
50C2×#548C2211yescharacteristic
51C2×#548C2211yescharacteristic
52C2×#548C2211yescharacteristic
53C2×#548C2211yescharacteristic, complemented
54C2×#542C2213yescomplemented
55C2×#540C2213yescomplemented
56C2×#535C2213yes—
57C2×#535C2213yes—
58C2×#529C2213yescomplemented
59C2×#529C2213yescomplemented
60C2×#525C2213yes—
61C2×#525C2213yes—
62C2×#520C2211yescharacteristic, complemented
63C2×#519C2211yescharacteristic
64C2×#519C2211yescharacteristic, complemented
65C2×C4×#41C2211yescharacteristic
66C2×C4×#41C2211yescharacteristic
67C2×C4×#41C2211yescharacteristic, complemented
68#2861C2213yescomplemented
69#2857C2213yescomplemented
70#2855C2213yescomplemented
71#2850C2213yescomplemented
72#2848C2213yes—
73#2710C2216yescomplemented
74#2709C2216yescomplemented
75#2701C2216yescomplemented
76#2701C2216yescomplemented
77#2701C2216yescomplemented
78#2700C2216yescomplemented
79#2699C2216yescomplemented
80#2697C2216yes—
81#2689C2216yescomplemented
82#2686C2216yescomplemented
83#2685C2216yes—
84#2684C2216yes—
85#2678C2216yes—
86#2673C2216yescomplemented
87#2629C2213yes—
88#2624C2213yescomplemented
89#2620C2213yescomplemented
90#2616C2213yes—
91#2592C2213yescomplemented
92#2582C2213yescomplemented
93#2565C2213yescomplemented
94#2562C2213yescomplemented
95#2560C2213yescomplemented
96#2559C2213yescomplemented
97#2558C2213yes—
98#2557C2213yes—
99#2556C2213yescomplemented
100#2556C2216yescomplemented
101#2555C2213yescomplemented
102#2554C2211yescharacteristic
103#2553C2213yes—
104#2549C2213yescomplemented
105#2547C2213yescomplemented
106#2545C2213yescomplemented
107#2544C2216yescomplemented
108#2544C2213yescomplemented
109#2543C2213yescomplemented
110#2543C2216yescomplemented
111#2539C2213yes—
112#2538C2213yescomplemented
113#2537C2213yescomplemented
114#2535C2213yescomplemented
115#2534C2213yes—
116#2534C2216yes—
117#2521C2216yescomplemented
118#2521C2216yescomplemented
119#2501C2213yescomplemented
120#2499C2213yescomplemented
121#2492C2213yescomplemented
122#2491C2213yescomplemented
123#2490C2213yescomplemented
124#2489C2213yescomplemented
125#2488C2213yescomplemented
126#2487C2213yescomplemented
127#2485C2213yescomplemented
128#2476C2216yescomplemented
129#2472C2213yes—
130#2470C2216yes—
131#2466C2216yescomplemented
132#2459C2216yescomplemented
133#2453C2213yescomplemented
134#2451C2213yescomplemented
135#2447C2216yescomplemented
136#2447C2213yescomplemented
137#2447C2213yescomplemented
138#2445C2216yescomplemented
139#2445C2213yescomplemented
140#2445C2213yescomplemented
141#2444C2216yescomplemented
142#2444C2216yescomplemented
143#2441C2213yes—
144#2439C2213yes—
145#2435C2213yes—
146#2434C2213yescomplemented
147#2432C2213yes—
148#2432C2213yes—
149#2432C2213yes—
150#2432C2213yescomplemented
151#2429C2213yescomplemented
152#2428C2213yescomplemented
153#2427C2213yescomplemented
154#2427C2213yescomplemented
155#2427C2213yescomplemented
156#2426C2213yescomplemented
157#2425C2213yescomplemented
158#2425C2216yescomplemented
159#2425C2216yescomplemented
160#2424C2213yes—
161#2422C2213yescomplemented
162#2422C2213yescomplemented
163#2422C2213yescomplemented
164#2420C2213yescomplemented
165#2419C2216yescomplemented
166#2418C2216yes—
167#2415C2213yescomplemented
168#2415C2213yescomplemented
169#2415C2213yescomplemented
170#2415C2213yescomplemented
171#2414C2213yescomplemented
172#2414C2213yescomplemented
173#2409C2213yescomplemented
174#2408C2213yes—
175#2407C2213yes—
176#2407C2213yes—
177#2407C2213yes—
178#2407C2213yescomplemented
179#2396C2213yes—
180#2395C2213yescomplemented
181#2392C2213yescomplemented
182#2388C2213yes—
183#2366C2213yescomplemented
184#2365C2213yescomplemented
185#2363C2213yescomplemented
186#2363C2213yescomplemented
187#2362C2213yes—
188#2362C2213yescomplemented
189#2359C2216yescomplemented
190#2359C2216yescomplemented
191#2354C2213yes—
192#2354C2213yescomplemented
193#2351C2211yescharacteristic, complemented
194Q8×C4⋊C4C2211yescharacteristic, complemented
195Q8×C4⋊C4C2211yescharacteristic, complemented
196Q8×C4⋊C4C2211yescharacteristic, complemented
197#2349C2216yescomplemented
198#2341C2211yescharacteristic
199#2341C2211yescharacteristic
200#2341C2211yescharacteristic
201#2341C2211yescharacteristic
202#2341C2211yescharacteristic, complemented
203Q8×C22⋊C4C2211yescharacteristic
204Q8×C22⋊C4C2211yescharacteristic
205Q8×C22⋊C4C2211yescharacteristic
206Q8×C22⋊C4C2211yescharacteristic, complemented
207Q8×C22⋊C4C2211yescharacteristic, complemented
208Q8×C22⋊C4C2211yescharacteristic, complemented
209Q8×C22⋊C4C2211yescharacteristic, complemented
210#2339C2213yes—
211#2339C2213yes—
212#2339C2213yes—
213#2339C2213yes—
214#2339C2213yescomplemented
215#2339C2213yescomplemented
216D4×C22⋊C4C2213yes—
217D4×C22⋊C4C2213yes—
218#2323C2213yes—
219#2323C2213yescomplemented
220#2311C2213yes—
221#2310C2213yescomplemented
222C4×C4⋊Q8C2213yescomplemented
223C4×#127C2213yescomplemented
224C4×#124C2213yescomplemented
225C4×#123C2213yescomplemented
226C4×#121C2213yescomplemented
227C4×#121C2213yescomplemented
228C4×#121C2213yescomplemented
229C4×#121C2213yescomplemented
230C4×#120C2213yes—
231#2297C2213yes—
232#2297C2213yes—
233#2297C2213yes—
234C2×#391C2213yescomplemented
235#2293C2213yes—
236#2280C2213yes—
237C42×Q8C2211yescharacteristic, complemented
238C42×D4C2213yescomplemented
239C2×C4×C22⋊C4C2213yes—
240C2×2−1+4—28no—
241C2×2−1+4—28no—
242C2×2−1+4—44no—
243C22×#41—28no—
244C22×#41—28no—
245C22×#41—44no—
246C22×#41C2311yescharacteristic
247C22×#41C2313yes—
248C22×#41C2313yes—
249C22×#41C2313yes—
250C22×#41C2313yes—
251C22×#41C2313yes—
252C22×#41C2311yescharacteristic
253C22×#41C2311yescharacteristic
254C23×Q8C2311yescharacteristic
255C23×Q8C2311yescharacteristic
256C23×Q8C2313yes—
257C23×Q8C2311yescharacteristic
258C23×D4C2313yes—
259C24×C4C2313yes—
260#559—224no—
261#557—28no—
262#555—224no—
263#553—224no—
264#552—224no—
265#550—28no—
266#550—224no—
267#550—224no—
268#550D4116yescomplemented
269D4×Q8—28no—
270D4×Q8—44no—
271#548—28no—
272#548—28no—
273#548—28no—
274#548—224no—
275#548—28no—
276#548—224no—
277#548—44no—
278#542—224no—
279#540—224no—
280#535—224no—
281#535—224no—
282C2×C4⋊Q8C2313yes—
283C2×C4⋊Q8C2313yes—
284C2×C4⋊Q8C2313yes—
285C2×#127C2316yes—
286C2×#127C2313yes—
287C2×#127C2313yes—
288#529—224no—
289#529—224no—
290C2×#126C2311yescharacteristic
291C2×#126C2313yes—
292C2×#126C2316yes—
293C2×#125C2313yes—
294C2×#125C2313yes—
295C2×#125C2313yes—
296C2×#124C2313yes—
297C2×#124C2313yes—
298C2×#124C2313yes—
299C2×#124C2313yes—
300C2×#124C2316yes—
301C2×#124C2313yes—
302C2×#124C2316yes—
303C2×#124C2313yes—
304C2×#124C2313yes—
305#525—224no—
306#525—224no—
307C2×#123C2313yes—
308C2×#123C2311yescharacteristic
309C2×#123C2316yes—
310C2×#123C2313yes—
311C2×#123C2313yes—
312C2×#123C2316yes—
313C2×#123C2316yes—
314C2×#123C2316yes—
315C2×#123C2313yes—
316C2×C22⋊Q8C2313yes—
317C2×C22⋊Q8C2313yes—
318C2×C22⋊Q8C2313yes—
319C2×C22⋊Q8C2313yes—
320C2×C22⋊Q8C2313yes—
321C2×C22⋊Q8C2313yes—
322C2×C22⋊Q8C2313yes—
323C2×C22⋊Q8C2313yes—
324C2×C22⋊Q8C2313yes—
325C2×C22⋊Q8C2313yes—
326C2×C22⋊Q8C2313yes—
327C2×C22⋊Q8C2313yes—
328C2×#121C2313yes—
329C2×#121C2313yes—
330C2×#121C2313yes—
331C2×#121C2313yes—
332C2×#121C2313yes—
333C2×#121C2313yes—
334C2×#121C2313yes—
335C2×#121C2313yes—
336C2×#121C2316yes—
337C2×#121C2313yes—
338C2×#121C2316yes—
339C2×#121C2316yes—
340C2×#121C2313yes—
341C2×#121C2313yes—
342C2×#121C2313yes—
343C2×#121C2313yes—
344C2×#121C2313yes—
345C2×#120C2316yes—
346C2×#120C2313yes—
347C2×#120C2313yes—
348C2×#120C2313yes—
349#520—28no—
350#519—28no—
351#519—28no—
352C4×#41—28no—
353C4×#41—44no—
354C4×#41—44no—
355C2×C4×Q8C2313yes—
356C2×C4×Q8C2313yes—
357C2×C4×Q8C2313yes—
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2311yescharacteristic
363C2×C4×Q8C2311yescharacteristic
364C2×C4×Q8C2311yescharacteristic
365C2×C4×Q8C2311yescharacteristic
366C2×C4×Q8C2313yes—
367C2×C4×Q8C2313yes—
368C2×C4×Q8C2311yescharacteristic
369C2×C4×D4C2313yes—
370C2×C4×D4C2313yes—
371C2×C4×D4C2313yes—
372C2×C4×D4C2313yes—
373C2×C4×D4C2313yes—
374C2×C4×D4C2316yes—
375C2×C4×D4C2316yes—
376C2×C4×D4C2313yes—
377C2×C4×D4C2316yes—
378C2×C4×D4C2313yes—
379C2×C4×D4C2313yes—
380C2×C4×D4C2313yes—
381C2×C4×D4C2313yes—
382C2×C4×D4C2313yes—
383C2×C4×D4C2313yes—
384C2×C4×D4C2313yes—
385C2×C4×D4C2316yes—
386C2×C4×D4C2313yes—
387C2×C4×D4C2313yes—
388C2×C4×D4C2313yes—
389C2×C4×D4C2313yes—
390C2×C4×D4C2313yes—
391C2×C4×D4C2313yes—
392C2×#117C2313yes—
393C2×#117C2313yes—
394C2×#117C2313yes—
395C2×#117C2313yes—
396C2×#117C2313yes—
397C2×#117C2316yes—
398C2×#117C2313yes—
399C2×#117C2313yes—
400C2×#117C2313yes—
401C22×C4⋊C4C2313yes—
402C22×C22⋊C4C2313yes—
403C22×C22⋊C4C2313yes—
404C22×C42C2313yes—
405C22×C42C2313yes—
406C22×C42C2313yes—
407#400C2316yes—
408#400C2313yes—
409#400C2313yes—
410#399C2316yes—
411#399C2313yes—
412#399C2313yes—
413#398C2313yes—
414#398C2313yes—
415#398C2316yes—
416#398C2316yes—
417#398C2313yes—
418#398C2311yescharacteristic
419#397C2313yes—
420#397C2316yes—
421#397C2313yes—
422#397C2313yes—
423#397C2313yes—
424#397C2316yes—
425#397C2316yes—
426#397C2316yes—
427#397C2316yes—
428#397C2316yes—
429#397C2316yes—
430#396C2316yes—
431#396C2316yes—
432#396C2313yes—
433#396C2316yes—
434#396C2313yes—
435#396C2313yes—
436#396C2311yescharacteristic
437#395C2316yes—
438#395C2313yes—
439#395C2313yes—
440#394C2313yes—
441#394C2316yes—
442#394C2313yes—
443#394C2316yes—
444#394C2316yes—
445#394C2316yes—
446#394C2316yes—
447#394C2316yes—
448#394C2313yes—
449#394C2313yes—
450#394C2311yescharacteristic
451#394C2313yes—
452#394C2313yes—
453#394C2313yes—
454#394C2316yes—
455#394C2316yes—
456#394C2316yes—
457#394C2316yes—
458#394C2316yes—
459#394C2316yes—
460#394C2316yes—
461#394C2316yes—
462#393C2313yes—
463#393C2316yes—
464#393C2313yes—
465#392C2311yescharacteristic
466#392C2313yes—
467#392C2313yes—
468#392C2313yes—
469#392C2316yes—
470#392C2316yes—
471#391C2313yes—
472#391C2313yes—
473#391C2313yes—
474#391C2313yes—
475#391C2313yes—
476#391C2316yes—
477#391C2313yes—
478#391C2313yes—
479#391C2313yes—
480#391C2313yes—
481#391C2313yes—
482#391C2313yes—
483#391C2316yes—
484#391C2313yes—
485#391C2313yes—
486#391C2313yes—
487#391C2313yes—
488#391C2313yes—
489#391C2313yes—
490#390C2313yes—
491#390C2313yes—
492#390C2313yes—
493#390C2316yes—
494#390C2316yes—
495#390C2313yes—
496#390C2313yes—
497#390C2313yes—
498#390C2313yes—
499#390C2313yes—
500#390C2313yes—
501#390C2313yes—
502#390C2313yes—
503#390C2313yes—
504#390C2313yes—
505#390C2316yes—
506#390C2311yescharacteristic
507#390C2313yes—
508#390C2311yescharacteristic
509#390C2311yescharacteristic
510#389C2313yes—
511#389C2316yes—
512#389C2313yes—
513#389C2313yes—
514#389C2313yes—
515#389C2316yes—
516#389C2313yes—
517#389C2313yes—
518#389C2316yes—
519#389C2316yes—
520#389C2313yes—
521#389C2313yes—
522#389C2313yes—
523#389C2313yes—
524#389C2313yes—
525#389C2313yes—
526#388C2313yes—
527#388C2313yes—
528#388C2313yes—
529#388C2313yes—
530#388C2316yes—
531#388C2313yes—
532#388C2316yes—
533#388C2316yes—
534#388C2313yes—
535#388C2316yes—
536#388C2313yes—
537#388C2316yes—
538#388C2316yes—
539#388C2316yes—
540#388C2316yes—
541#388C2316yes—
542#388C2316yes—
543#388C2313yes—
544#388C2313yes—
545#388C2313yes—
546#388C2311yescharacteristic
547#388C2313yes—
548#388C2311yescharacteristic
549#388C2311yescharacteristic
550#387C2313yes—
551#387C2316yes—
552#387C2316yes—
553#387C2316yes—
554#387C2316yes—
555#387C2316yes—
556#387C2313yes—
557#386C2313yes—
558#386C2316yes—
559#386C2316yes—
560#386C2316yes—
561#386C2316yes—
562#386C2316yes—
563#386C2316yes—
564#386C2316yes—
565#386C2316yes—
566#386C2313yes—
567#386C2313yes—
568#386C2313yes—
569#386C2313yes—
570#386C2316yes—
571#386C2316yes—
572#386C2313yes—
573#386C2316yes—
574#386C2313yes—
575#386C2313yes—
576#386C2313yes—
577#386C2316yes—
578#386C2313yes—
579#386C2313yes—
580#386C2311yescharacteristic
581#385C2313yes—
582#385C2316yes—
583#385C2316yes—
584#385C2316yes—
585#385C2316yes—
586#385C2316yes—
587#385C2313yes—
588#385C2316yes—
589#385C2316yes—
590#385C2313yes—
591#385C2313yes—
592#384C2313yes—
593#384C2313yes—
594#384C2313yes—
595#382C2313yes—
596#382C2313yes—
597#381C2316yes—
598#381C2316yes—
599#381C2316yes—
600#381C2316yes—
601#381C2313yes—
602#380C2313yes—
603#380C2313yes—
604#380C2313yes—
605#380C2313yes—
606#380C2313yes—
607#380C2313yes—
608#380C2313yes—
609#380C2313yes—
610#380C2313yes—
611#380C2313yes—
612#380C2313yes—
613#380C2313yes—
614#380C2316yes—
615#380C2316yes—
616#380C2313yes—
617#380C2313yes—
618#379C2316yes—
619#379C2316yes—
620#379C2313yes—
621C4×C4⋊C4C2313yes—
622C4×C4⋊C4C2313yes—
623C4×C4⋊C4C2316yes—
624C4×C4⋊C4C2316yes—
625C4×C4⋊C4C2313yes—
626C4×C4⋊C4C2313yes—
627C4×C4⋊C4C2313yes—
628C4×C4⋊C4C2313yes—
629C4×C4⋊C4C2313yes—
630C4×C4⋊C4C2313yes—
631C4×C4⋊C4C2311yescharacteristic
632C4×C22⋊C4C2313yes—
633C4×C22⋊C4C2313yes—
634C4×C22⋊C4C2313yes—
635C4×C22⋊C4C2313yes—
636C4×C22⋊C4C2313yes—
637C4×C22⋊C4C2313yes—
638C4×C22⋊C4C2313yes—
639C4×C22⋊C4C2313yes—
640C4×C22⋊C4C2313yes—
641C4×C22⋊C4C2313yes—
642C4×C22⋊C4C2313yes—
643C4×C22⋊C4C2313yes—
644C4×C22⋊C4C2313yes—
645C4×C22⋊C4C2313yes—
646C4×C22⋊C4C2313yes—
647C4×C22⋊C4C2313yes—
648C4×C22⋊C4C2316yes—
649C4×C22⋊C4C2313yes—
650C4×C22⋊C4C2313yes—
651C4×C22⋊C4C2313yes—
652C4×C22⋊C4C2311yescharacteristic
653C2×#95C2313yes—
654C2×#95C2313yes—
655C2×#95C2316yes—
656C2×#95C2316yes—
657C43C2313yes—
658C25C2413yes—
6592−1+4—464no—
660C2×#41—24no—
661C2×#41—24no—
662C2×#41—24no—
663C2×#41—212no—
664C2×#41—212no—
665C2×#41—24no—
666C2×#41—212no—
667C2×#41—24no—
668C2×#41—24no—
669C2×#41—24no—
670C2×#41—212no—
671C2×#41—212no—
672C2×#41—212no—
673C2×#41—212no—
674C2×#41—212no—
675C2×#41—212no—
676C2×#41—212no—
677C2×#41—46no—
678C2×#41—46no—
679C2×#41—46no—
680C2×#41—46no—
681C2×#41—46no—
682C2×#41—464no—
683C2×#41C2×D418yes—
684C2×#41C2×D418yes—
685C22×Q8—24no—
686C22×Q8—24no—
687C22×Q8—24no—
688C22×Q8—24no—
689C22×Q8—24no—
690C22×Q8—212no—
691C22×Q8—24no—
692C22×Q8—24no—
693C22×Q8—24no—
694C22×Q8—212no—
695C22×Q8—46no—
696C22×Q8#4118yes—
697C22×Q8C2413yes—
698C22×Q8C2413yes—
699C22×Q8C2413yes—
700C22×Q8C2413yes—
701C22×Q8C2413yes—
702C22×Q8C2411yescharacteristic
703C22×D4—212no—
704C22×D4—212no—
705C22×D4—46no—
706C22×D4C2413yes—
707C22×D4C2411yescharacteristic
708C22×D4C2413yes—
709C22×D4C2411yescharacteristic
710C22×D4C2416yes—
711C22×D4C2413yes—
712C22×D4C2413yes—
713C22×D4C2413yes—
714C22×D4C2411yescharacteristic
715C22×D4C2413yes—
716C22×D4C2413yes—
717C22×D4C2413yes—
718C22×D4C2416yes—
719C22×D4C2413yes—
720C22×D4C2413yes—
721C22×D4C2413yes—
722C22×D4C2413yes—
723C22×D4C2416yes—
724C23×C4—212no—
725C23×C4—212no—
726C23×C4—46no—
727C23×C4C2413yes—
728C23×C4C2413yes—
729C23×C4C2413yes—
730C23×C4C2416yes—
731C23×C4C2413yes—
732C23×C4C2413yes—
733C23×C4C2411yescharacteristic
734C23×C4C2413yes—
735C23×C4C2413yes—
736C23×C4C2413yes—
737C23×C4C2413yes—
738C23×C4C2413yes—
739C23×C4C2413yes—
740C23×C4C2413yes—
741C23×C4C2416yes—
742C23×C4C2413yes—
743C23×C4C2413yes—
744C4⋊Q8—212no—
745C4⋊Q8—212no—
746C4⋊Q8—46no—
747#127—224no—
748#127—212no—
749#127C2×D4124yes—
750#126—24no—
751#126—212no—
752#126—224no—
753#125—212no—
754#125—212no—
755#125—212no—
756#124—212no—
757#124—212no—
758#124—212no—
759#124—224no—
760#124—212no—
761#124—224no—
762#124—212no—
763#124—46no—
764#124—46no—
765#123—224no—
766#123—212no—
767#123—224no—
768#123—24no—
769#123—212no—
770#123—212no—
771#123—412no—
772#123—46no—
773#123—412no—
774C22⋊Q8—212no—
775C22⋊Q8—212no—
776C22⋊Q8—212no—
777C22⋊Q8—212no—
778C22⋊Q8—212no—
779C22⋊Q8—212no—
780C22⋊Q8—212no—
781C22⋊Q8—212no—
782C22⋊Q8—212no—
783C22⋊Q8—46no—
784C22⋊Q8—46no—
785C22⋊Q8—46no—
786#121—212no—
787#121—212no—
788#121—212no—
789#121—212no—
790#121—224no—
791#121—224no—
792#121—212no—
793#121—212no—
794#121—224no—
795#121—212no—
796#121—212no—
797#121—212no—
798#121—46no—
799#121—46no—
800#121—46no—
801#121C2×D4124yes—
802#121C2×D4124yes—
803#120—224no—
804#120—212no—
805#120—212no—
806#120—46no—
807C4×Q8—24no—
808C4×Q8—24no—
809C4×Q8—24no—
810C4×Q8—24no—
811C4×Q8—24no—
812C4×Q8—24no—
813C4×Q8—24no—
814C4×Q8—24no—
815C4×Q8—212no—
816C4×Q8—212no—
817C4×Q8—212no—
818C4×Q8—212no—
819C4×Q8—212no—
820C4×Q8C2×D418yes—
821C4×D4—212no—
822C4×D4—212no—
823C4×D4—212no—
824C4×D4—212no—
825C4×D4—224no—
826C4×D4—224no—
827C4×D4—212no—
828C4×D4—212no—
829C4×D4—212no—
830C4×D4—212no—
831C4×D4—212no—
832C4×D4—224no—
833C4×D4—212no—
834C4×D4—46no—
835C4×D4—46no—
836C4×D4—46no—
837C4×D4—46no—
838C4×D4—46no—
839C4×D4—412no—
840C4×D4—46no—
841C4×D4—46no—
842C4×D4—46no—
843C4×D4C2×D4124yes—
844#117—212no—
845#117—212no—
846#117—212no—
847#117—212no—
848#117—224no—
849#117—212no—
850#117—212no—
851#117—46no—
852#117—46no—
853C2×C4⋊C4—212no—
854C2×C4⋊C4C2413yes—
855C2×C4⋊C4C2413yes—
856C2×C4⋊C4C2413yes—
857C2×C4⋊C4C2411yescharacteristic
858C2×C4⋊C4C2413yes—
859C2×C4⋊C4C2413yes—
860C2×C4⋊C4C2413yes—
861C2×C4⋊C4C2413yes—
862C2×C4⋊C4C2413yes—
863C2×C4⋊C4C2413yes—
864C2×C4⋊C4C2413yes—
865C2×C4⋊C4C2413yes—
866C2×C4⋊C4C2413yes—
867C2×C4⋊C4C2413yes—
868C2×C4⋊C4C2416yes—
869C2×C4⋊C4C2413yes—
870C2×C4⋊C4C2413yes—
871C2×C4⋊C4C2411yescharacteristic
872C2×C4⋊C4C2411yescharacteristic
873C2×C4⋊C4C2413yes—
874C2×C4⋊C4C2413yes—
875C2×C4⋊C4C2413yes—
876C2×C4⋊C4C2411yescharacteristic
877C2×C4⋊C4C2413yes—
878C2×C4⋊C4C2413yes—
879C2×C4⋊C4C2413yes—
880C2×C4⋊C4C2416yes—
881C2×C4⋊C4C2413yes—
882C2×C4⋊C4C2413yes—
883C2×C4⋊C4C2413yes—
884C2×C4⋊C4C2413yes—
885C2×C4⋊C4C2416yes—
886C2×C4⋊C4C2413yes—
887C2×C4⋊C4C2416yes—
888C2×C4⋊C4C2413yes—
889C2×C4⋊C4C2416yes—
890C2×C4⋊C4C2416yes—
891C2×C4⋊C4C2411yescharacteristic
892C2×C4⋊C4C2411yescharacteristic
893C2×C4⋊C4C2413yes—
894C2×C4⋊C4C2411yescharacteristic
895C2×C22⋊C4—46no—
896C2×C22⋊C4—46no—
897C2×C22⋊C4C2411yescharacteristic
898C2×C22⋊C4C2411yescharacteristic
899C2×C22⋊C4C2413yes—
900C2×C22⋊C4C2413yes—
901C2×C22⋊C4C2413yes—
902C2×C22⋊C4C2411yescharacteristic
903C2×C22⋊C4C2411yescharacteristic
904C2×C22⋊C4C2413yes—
905C2×C22⋊C4C2413yes—
906C2×C22⋊C4C2416yes—
907C2×C22⋊C4C2413yes—
908C2×C22⋊C4C2416yes—
909C2×C22⋊C4C2413yes—
910C2×C22⋊C4C2411yescharacteristic
911C2×C22⋊C4C2411yescharacteristic
912C2×C22⋊C4C2411yescharacteristic
913C2×C22⋊C4C2413yes—
914C2×C22⋊C4C2411yescharacteristic
915C2×C22⋊C4C2416yes—
916C2×C22⋊C4C2413yes—
917C2×C22⋊C4C2416yes—
918C2×C22⋊C4C2413yes—
919C2×C22⋊C4C2413yes—
920C2×C22⋊C4C2413yes—
921C2×C22⋊C4C2416yes—
922C2×C22⋊C4C2413yes—
923C2×C22⋊C4C2413yes—
924C2×C22⋊C4C2413yes—
925C2×C22⋊C4C2413yes—
926C2×C22⋊C4C2413yes—
927C2×C22⋊C4C2413yes—
928C2×C22⋊C4C2411yescharacteristic
929C2×C22⋊C4C2411yescharacteristic
930C2×C22⋊C4C2411yescharacteristic
931C2×C22⋊C4C2413yes—
932C2×C22⋊C4C2413yes—
933C2×C22⋊C4C2413yes—
934C2×C22⋊C4C2413yes—
935C2×C22⋊C4C2416yes—
936C2×C22⋊C4C2416yes—
937C2×C22⋊C4C2411yescharacteristic
938C2×C22⋊C4C2413yes—
939C2×C22⋊C4C2413yes—
940C2×C22⋊C4C2413yes—
941C2×C22⋊C4C2413yes—
942C2×C22⋊C4C2416yes—
943C2×C22⋊C4C2416yes—
944C2×C22⋊C4C2413yes—
945C2×C22⋊C4C2416yes—
946C2×C22⋊C4C2413yes—
947C2×C22⋊C4C2413yes—
948C2×C22⋊C4C2416yes—
949C2×C22⋊C4C2413yes—
950C2×C22⋊C4C2416yes—
951C2×C22⋊C4C2413yes—
952C2×C22⋊C4C2413yes—
953C2×C22⋊C4C2411yescharacteristic
954C2×C22⋊C4C2411yescharacteristic
955C2×C22⋊C4C2416yes—
956C2×C22⋊C4C2413yes—
957C2×C22⋊C4C2413yes—
958C2×C42—212no—
959C2×C42—46no—
960C2×C42—46no—
961C2×C42C2413yes—
962C2×C42C2413yes—
963C2×C42C2416yes—
964C2×C42C2413yes—
965C2×C42C2416yes—
966C2×C42C2413yes—
967C2×C42C2411yescharacteristic
968C2×C42C2413yes—
969C2×C42C2413yes—
970C2×C42C2413yes—
971C2×C42C2413yes—
972C2×C42C2413yes—
973C2×C42C2413yes—
974C2×C42C2411yescharacteristic
975C2×C42C2413yes—
976C2×C42C2413yes—
977C2×C42C2413yes—
978C2×C42C2413yes—
979C2×C42C2411yescharacteristic
980C2×C42C2411yescharacteristic
981C2×C42C2413yes—
982#95C2411yescharacteristic
983#95C2411yescharacteristic
984#95C2413yes—
985#95C2413yes—
986#95C2413yes—
987#95C2413yes—
988#95C2413yes—
989#95C2413yes—
990#95C2413yes—
991#95C2413yes—
992#95C2413yes—
993#95C2416yes—
994#95C2416yes—
995#95C2416yes—
996#95C2416yes—
997#95C2411yescharacteristic
998#95C2411yescharacteristic
999#95C2411yescharacteristic
1000#95C2413yes—
1001#95C2413yes—
1002#95C2413yes—
1003#95C2413yes—
1004#95C2413yes—
1005#95C2413yes—
1006#95C2413yes—
1007#95C2416yes—
1008#95C2413yes—
1009#95C2413yes—
1010#95C2413yes—
1011#95C2413yes—
1012#95C2413yes—
1013#95C2411yescharacteristic
1014#95C2416yes—
1015#95C2416yes—
1016#95C2413yes—
1017#95C2413yes—
1018#95C2413yes—
1019#95C2413yes—
1020#95C2413yes—
1021#95C2416yes—
1022#95C2416yes—
1023C24—26no—
1024C24—26no—
1025C24—43no—
1026C24—43no—
1027C24—43no—
1028C24—43no—
1029C24—43no—
1030C24C2513yes—
1031C24C2511yescharacteristic
1032C24C2511yescharacteristic
1033C24C2513yes—
1034C24C2513yes—
1035C24C2511yescharacteristic
1036#41—232no—
1037#41—232no—
1038#41—448no—
1039#41—448no—
1040#41—448no—
1041#41—448no—
1042#41—448no—
1043#41—416no—
1044C2×Q8—232no—
1045C2×Q8—26no—
1046C2×Q8—26no—
1047C2×Q8—26no—
1048C2×Q8—26no—
1049C2×Q8—26no—
1050C2×Q8—26no—
1051C2×Q8—26no—
1052C2×Q8—26no—
1053C2×Q8—26no—
1054C2×Q8—26no—
1055C2×Q8—26no—
1056C2×Q8—43no—
1057C2×Q8—43no—
1058C2×Q8—43no—
1059C2×Q8—448no—
1060C2×Q8—416no—
1061C2×Q8—416no—
1062C2×Q8C22×D414yes—
1063C2×Q8C2×#41112yes—
1064C2×Q8C2×#4114yes—
1065C2×Q8H(5,𝔽2)14yes—
1066C2×D4—26no—
1067C2×D4—212no—
1068C2×D4—26no—
1069C2×D4—22no—
1070C2×D4—22no—
1071C2×D4—26no—
1072C2×D4—26no—
1073C2×D4—212no—
1074C2×D4—26no—
1075C2×D4—26no—
1076C2×D4—26no—
1077C2×D4—22no—
1078C2×D4—26no—
1079C2×D4—26no—
1080C2×D4—26no—
1081C2×D4—26no—
1082C2×D4—212no—
1083C2×D4—26no—
1084C2×D4—26no—
1085C2×D4—26no—
1086C2×D4—26no—
1087C2×D4—26no—
1088C2×D4—22no—
1089C2×D4—22no—
1090C2×D4—448no—
1091C2×D4—41no—
1092C2×D4—43no—
1093C2×D4—46no—
1094C2×D4—43no—
1095C2×D4—46no—
1096C2×D4—41no—
1097C2×D4—46no—
1098C2×D4—41no—
1099C2×D4—41no—
1100C2×D4—43no—
1101C2×D4—43no—
1102C2×D4—43no—
1103C2×D4—43no—
1104C2×D4—43no—
1105C2×D4—43no—
1106C2×D4—43no—
1107C2×D4—43no—
1108C2×D4—43no—
1109C2×D4—43no—
1110C2×D4—46no—
1111C2×D4—46no—
1112C2×D4—43no—
1113C2×D4—43no—
1114C2×D4—43no—
1115C2×D4—43no—
1116C2×D4—43no—
1117C2×D4C22×D4112yes—
1118C2×D4C22×D4112yes—
1119C2×D4C22×D4124yes—
1120C2×D4C22×D4112yes—
1121C22×C4—26no—
1122C22×C4—26no—
1123C22×C4—26no—
1124C22×C4—26no—
1125C22×C4—26no—
1126C22×C4—26no—
1127C22×C4—212no—
1128C22×C4—26no—
1129C22×C4—22no—
1130C22×C4—26no—
1131C22×C4—26no—
1132C22×C4—212no—
1133C22×C4—26no—
1134C22×C4—26no—
1135C22×C4—26no—
1136C22×C4—26no—
1137C22×C4—22no—
1138C22×C4—26no—
1139C22×C4—26no—
1140C22×C4—26no—
1141C22×C4—26no—
1142C22×C4—212no—
1143C22×C4—26no—
1144C22×C4—26no—
1145C22×C4—26no—
1146C22×C4—26no—
1147C22×C4—26no—
1148C22×C4—26no—
1149C22×C4—26no—
1150C22×C4—41no—
1151C22×C4—43no—
1152C22×C4—43no—
1153C22×C4—46no—
1154C22×C4—448no—
1155C22×C4—43no—
1156C22×C4—43no—
1157C22×C4—43no—
1158C22×C4—43no—
1159C22×C4—43no—
1160C22×C4—43no—
1161C22×C4—43no—
1162C22×C4—43no—
1163C22×C4—43no—
1164C22×C4—46no—
1165C22×C4—46no—
1166C22×C4—43no—
1167C22×C4—43no—
1168C22×C4—43no—
1169C22×C4—43no—
1170C22×C4C22×D4112yes—
1171C22×C4C22×D4112yes—
1172C22×C4C2×#41112yes—
1173C22×C4C2511yescharacteristic
1174C22×C4C2513yes—
1175C22×C4C2513yes—
1176C22×C4C2511yescharacteristic
1177C22×C4C2511yescharacteristic
1178C22×C4C2513yes—
1179C22×C4C2511yescharacteristic
1180C22×C4C2511yescharacteristic
1181C22×C4C2513yes—
1182C22×C4C2513yes—
1183C22×C4C2511yescharacteristic
1184C22×C4C2513yes—
1185C22×C4C2513yes—
1186C22×C4C2513yes—
1187C22×C4C2513yes—
1188C22×C4C2513yes—
1189C22×C4C2511yescharacteristic
1190C22×C4C2513yes—
1191C22×C4C2511yescharacteristic
1192C22×C4C2511yescharacteristic
1193C22×C4C2513yes—
1194C22×C4C2511yescharacteristic
1195C22×C4C2511yescharacteristic
1196C22×C4C2511yescharacteristic
1197C22×C4C2513yes—
1198C4⋊C4—26no—
1199C4⋊C4—26no—
1200C4⋊C4—26no—
1201C4⋊C4—22no—
1202C4⋊C4—26no—
1203C4⋊C4—26no—
1204C4⋊C4—26no—
1205C4⋊C4—26no—
1206C4⋊C4—26no—
1207C4⋊C4—26no—
1208C4⋊C4—26no—
1209C4⋊C4—212no—
1210C4⋊C4—26no—
1211C4⋊C4—22no—
1212C4⋊C4—26no—
1213C4⋊C4—26no—
1214C4⋊C4—26no—
1215C4⋊C4—22no—
1216C4⋊C4—26no—
1217C4⋊C4—26no—
1218C4⋊C4—26no—
1219C4⋊C4—212no—
1220C4⋊C4—26no—
1221C4⋊C4—26no—
1222C4⋊C4—26no—
1223C4⋊C4—22no—
1224C4⋊C4—26no—
1225C4⋊C4—26no—
1226C4⋊C4—41no—
1227C4⋊C4—41no—
1228C4⋊C4—43no—
1229C4⋊C4—46no—
1230C4⋊C4—43no—
1231C4⋊C4—43no—
1232C4⋊C4—43no—
1233C4⋊C4—46no—
1234C4⋊C4—46no—
1235C4⋊C4—46no—
1236C4⋊C4—43no—
1237C4⋊C4C22×D4112yes—
1238C4⋊C4C22×D414yes—
1239C22⋊C4—26no—
1240C22⋊C4—212no—
1241C22⋊C4—26no—
1242C22⋊C4—212no—
1243C22⋊C4—26no—
1244C22⋊C4—26no—
1245C22⋊C4—212no—
1246C22⋊C4—26no—
1247C22⋊C4—212no—
1248C22⋊C4—26no—
1249C22⋊C4—26no—
1250C22⋊C4—26no—
1251C22⋊C4—22no—
1252C22⋊C4—22no—
1253C22⋊C4—26no—
1254C22⋊C4—22no—
1255C22⋊C4—22no—
1256C22⋊C4—22no—
1257C22⋊C4—22no—
1258C22⋊C4—26no—
1259C22⋊C4—212no—
1260C22⋊C4—26no—
1261C22⋊C4—26no—
1262C22⋊C4—22no—
1263C22⋊C4—22no—
1264C22⋊C4—26no—
1265C22⋊C4—26no—
1266C22⋊C4—26no—
1267C22⋊C4—26no—
1268C22⋊C4—26no—
1269C22⋊C4—26no—
1270C22⋊C4—22no—
1271C22⋊C4—22no—
1272C22⋊C4—22no—
1273C22⋊C4—43no—
1274C22⋊C4—43no—
1275C22⋊C4—43no—
1276C22⋊C4—43no—
1277C22⋊C4—46no—
1278C22⋊C4—41no—
1279C22⋊C4—41no—
1280C22⋊C4—46no—
1281C22⋊C4—46no—
1282C22⋊C4—46no—
1283C22⋊C4—46no—
1284C22⋊C4—43no—
1285C22⋊C4—41no—
1286C22⋊C4—43no—
1287C22⋊C4—43no—
1288C22⋊C4—43no—
1289C22⋊C4—43no—
1290C22⋊C4—43no—
1291C22⋊C4—43no—
1292C22⋊C4—46no—
1293C22⋊C4—46no—
1294C22⋊C4—46no—
1295C22⋊C4—43no—
1296C22⋊C4—43no—
1297C22⋊C4—43no—
1298C22⋊C4C22×D4112yes—
1299C22⋊C4C22×D4112yes—
1300C42—22no—
1301C42—26no—
1302C42—26no—
1303C42—26no—
1304C42—212no—
1305C42—212no—
1306C42—26no—
1307C42—26no—
1308C42—26no—
1309C42—26no—
1310C42—26no—
1311C42—26no—
1312C42—22no—
1313C42—26no—
1314C42—41no—
1315C42—41no—
1316C42—43no—
1317C42—43no—
1318C42—43no—
1319C42—43no—
1320C42C22×D4112yes—
1321C23—21no—
1322C23—23no—
1323C23—23no—
1324C23—23no—
1325C23—23no—
1326C23—21no—
1327C23—21no—
1328C23—21no—
1329C23—23no—
1330C23—23no—
1331C23—23no—
1332C23—21no—
1333C23—23no—
1334C23—23no—
1335C23—23no—
1336C23—21no—
1337C23—23no—
1338C23—23no—
1339C23—21no—
1340C23—23no—
1341C23—21no—
1342C23—21no—
1343C23—21no—
1344C23—23no—
1345C23—21no—
1346C23—21no—
1347C23—23no—
1348C23—21no—
1349C23—21no—
1350C23—23no—
1351C23—23no—
1352C23—23no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—23no—
1358C23—21no—
1359C23—21no—
1360C23—412no—
1361C23—412no—
1362C23—86no—
1363C23—86no—
1364C23—86no—
1365C23—86no—
1366C23—86no—
1367C23C23×D416yes—
1368C23C23×D416yes—
1369C23C22×#4112yes—
1370C23C2611yescharacteristic
1371Q8—224no—
1372Q8—412no—
1373Q8—412no—
1374Q8—412no—
1375Q8—86no—
1376Q8#546116yes—
1377D4—224no—
1378D4—224no—
1379D4—424no—
1380D4—412no—
1381D4—44no—
1382D4—424no—
1383D4—44no—
1384D4—412no—
1385D4—44no—
1386D4—412no—
1387D4—412no—
1388D4—86no—
1389D4—86no—
1390D4—86no—
1391D4—86no—
1392D4—812no—
1393D4—86no—
1394D4—86no—
1395C2×C4—23no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—23no—
1404C2×C4—21no—
1405C2×C4—23no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—23no—
1410C2×C4—21no—
1411C2×C4—224no—
1412C2×C4—224no—
1413C2×C4—224no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—23no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—23no—
1420C2×C4—23no—
1421C2×C4—23no—
1422C2×C4—23no—
1423C2×C4—23no—
1424C2×C4—21no—
1425C2×C4—23no—
1426C2×C4—23no—
1427C2×C4—21no—
1428C2×C4—23no—
1429C2×C4—21no—
1430C2×C4—23no—
1431C2×C4—23no—
1432C2×C4—23no—
1433C2×C4—23no—
1434C2×C4—21no—
1435C2×C4—23no—
1436C2×C4—23no—
1437C2×C4—23no—
1438C2×C4—23no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—23no—
1443C2×C4—23no—
1444C2×C4—23no—
1445C2×C4—23no—
1446C2×C4—23no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—23no—
1450C2×C4—23no—
1451C2×C4—21no—
1452C2×C4—23no—
1453C2×C4—23no—
1454C2×C4—23no—
1455C2×C4—23no—
1456C2×C4—23no—
1457C2×C4—21no—
1458C2×C4—23no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—412no—
1463C2×C4—44no—
1464C2×C4—412no—
1465C2×C4—424no—
1466C2×C4—412no—
1467C2×C4—412no—
1468C2×C4—412no—
1469C2×C4—86no—
1470C2×C4—86no—
1471C2×C4—86no—
1472C2×C4—86no—
1473C2×C4—86no—
1474C2×C4—812no—
1475C2×C4—86no—
1476C2×C4C23×D416yes—
1477C2×C4C23×D412yes—
1478C2×C4C23×D412yes—
1479C2×C4C23×D412yes—
1480C2×C4C23×D416yes—
1481C2×C4C22×#4116yes—
1482C2×C4C22×#4116yes—
1483C2×C4C2×H(5,𝔽2)16yes—
1484C2×C4#58512yes—
1485C2×C4#58512yes—
1486C2×C4#58512yes—
1487C22—26no—
1488C22—26no—
1489C22—22no—
1490C22—22no—
1491C22—26no—
1492C22—26no—
1493C22—22no—
1494C22—26no—
1495C22—26no—
1496C22—41no—
1497C22—43no—
1498C22—43no—
1499C22—43no—
1500C22—43no—
1501C22—41no—
1502C22—43no—
1503C22—43no—
1504C22—41no—
1505C22—43no—
1506C22—43no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—43no—
1511C22—41no—
1512C22—41no—
1513C22—43no—
1514C22—41no—
1515C22—43no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—43no—
1520C22—41no—
1521C22—41no—
1522C22—43no—
1523C22—41no—
1524C22—41no—
1525C22—43no—
1526C22—41no—
1527C22—41no—
1528C22—43no—
1529C22—824no—
1530C22C24×D411yescharacteristic
1531C22C23×#4111yescharacteristic
1532C22C22×H(5,𝔽2)11yescharacteristic
1533C22C2×#58511yescharacteristic
1534C22C2×#58511yescharacteristic
1535C22C2×#58511yescharacteristic
1536C222−1+611yescharacteristic
1537C4—26no—
1538C4—22no—
1539C4—22no—
1540C4—22no—
1541C4—22no—
1542C4—22no—
1543C4—22no—
1544C4—26no—
1545C4—41no—
1546C4—43no—
1547C4—41no—
1548C4—41no—
1549C4—43no—
1550C4—43no—
1551C4—43no—
1552C4—41no—
1553C4—43no—
1554C4—43no—
1555C4—43no—
1556C4—43no—
1557C4—41no—
1558C4—41no—
1559C4—43no—
1560C4—43no—
1561C4C2×#546112yes—
1562C2—46no—
1563C2—46no—
1564C2—42no—
1565C2—81no—
1566C2—81no—
1567C2—83no—
1568C2C22×#54611yescharacteristic
1569C2#6279311yescharacteristic
1570C2#6281211yescharacteristic
1571C2#6289711yescharacteristic
1572C2#6298811yescharacteristic
1573C2#6300511yescharacteristic
1574C2#6301911yescharacteristic
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×#3524C2semidirect
2. C2×#3487C2semidirect
3. #59810C2semidirect
4. #59806C2semidirect
5. #59411C2semidirect
6. #59101C2semidirect
7. #59018C2semidirect
8. #45097C2semidirect
9. #45095C2semidirect
10. #44899C2semidirect
11. #44895C2semidirect
12. #39438C2semidirect
13. #39416C2semidirect
14. #38035C2semidirect
15. #37847C2semidirect
16. #36467C2semidirect
17. #36444C2semidirect
18. #36432C2semidirect
19. #36430C2semidirect
20. #36428C2semidirect
21. #36376C2semidirect
22. #36143C2semidirect
23. #36005C2semidirect
24. #35786C2semidirect
25. #35771C2semidirect
26. #35687C2semidirect
27. #34829C2semidirect
28. #34311C2semidirect
29. #34259C2semidirect
30. C4×#550C2semidirect
31. C22⋊C4×#41C2semidirect
36. C2×#559C22semidirect
37. C2×#557C22semidirect
38. C2×#555C22semidirect
39. C2×#553C22semidirect
40. C2×#552C22semidirect
46. C2×D4×Q8C22semidirect
53. C2×#548C22semidirect
54. C2×#542C22semidirect
55. C2×#540C22semidirect
58. C2×#529C22semidirect
59. C2×#529C22semidirect
62. C2×#520C22semidirect
64. C2×#519C22semidirect
67. C2×C4×#41C22semidirect
68. #2861C22semidirect
69. #2857C22semidirect
70. #2855C22semidirect
71. #2850C22semidirect
73. #2710C22semidirect
74. #2709C22semidirect
75. #2701C22semidirect
76. #2701C22semidirect
77. #2701C22semidirect
78. #2700C22semidirect
79. #2699C22semidirect
81. #2689C22semidirect
82. #2686C22semidirect
86. #2673C22semidirect
88. #2624C22semidirect
89. #2620C22semidirect
91. #2592C22semidirect
92. #2582C22semidirect
93. #2565C22semidirect
94. #2562C22semidirect
95. #2560C22semidirect
96. #2559C22semidirect
99. #2556C22semidirect
100. #2556C22semidirect
101. #2555C22semidirect
104. #2549C22semidirect
105. #2547C22semidirect
106. #2545C22semidirect
107. #2544C22semidirect
108. #2544C22semidirect
109. #2543C22semidirect
110. #2543C22semidirect
112. #2538C22semidirect
113. #2537C22semidirect
114. #2535C22semidirect
117. #2521C22semidirect
118. #2521C22semidirect
119. #2501C22semidirect
120. #2499C22semidirect
121. #2492C22semidirect
122. #2491C22semidirect
123. #2490C22semidirect
124. #2489C22semidirect
125. #2488C22semidirect
126. #2487C22semidirect
127. #2485C22semidirect
128. #2476C22semidirect
131. #2466C22semidirect
132. #2459C22semidirect
133. #2453C22semidirect
134. #2451C22semidirect
135. #2447C22semidirect
136. #2447C22semidirect
137. #2447C22semidirect
138. #2445C22semidirect
139. #2445C22semidirect
140. #2445C22semidirect
141. #2444C22semidirect
142. #2444C22semidirect
146. #2434C22semidirect
150. #2432C22semidirect
151. #2429C22semidirect
152. #2428C22semidirect
153. #2427C22semidirect
154. #2427C22semidirect
155. #2427C22semidirect
156. #2426C22semidirect
157. #2425C22semidirect
158. #2425C22semidirect
159. #2425C22semidirect
161. #2422C22semidirect
162. #2422C22semidirect
163. #2422C22semidirect
164. #2420C22semidirect
165. #2419C22semidirect
167. #2415C22semidirect
168. #2415C22semidirect
169. #2415C22semidirect
170. #2415C22semidirect
171. #2414C22semidirect
172. #2414C22semidirect
173. #2409C22semidirect
178. #2407C22semidirect
180. #2395C22semidirect
181. #2392C22semidirect
183. #2366C22semidirect
184. #2365C22semidirect
185. #2363C22semidirect
186. #2363C22semidirect
188. #2362C22semidirect
189. #2359C22semidirect
190. #2359C22semidirect
192. #2354C22semidirect
193. #2351C22semidirect
194. Q8×C4⋊C4C22semidirect
195. Q8×C4⋊C4C22semidirect
196. Q8×C4⋊C4C22semidirect
197. #2349C22semidirect
202. #2341C22semidirect
206. Q8×C22⋊C4C22semidirect
207. Q8×C22⋊C4C22semidirect
208. Q8×C22⋊C4C22semidirect
209. Q8×C22⋊C4C22semidirect
214. #2339C22semidirect
215. #2339C22semidirect
219. #2323C22semidirect
221. #2310C22semidirect
222. C4×C4⋊Q8C22semidirect
223. C4×#127C22semidirect
224. C4×#124C22semidirect
225. C4×#123C22semidirect
226. C4×#121C22semidirect
227. C4×#121C22semidirect
228. C4×#121C22semidirect
229. C4×#121C22semidirect
234. C2×#391C22semidirect
237. C42×Q8C22semidirect
238. C42×D4C22semidirect
268. #550D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35242
C2×#34872
#598102
#598062
#594112
#591012
#590182
#450972
#450952
#448992
#448952
#394382
#394162
#380352
#378472
#364672
#364442
#364322
#364302
#364282
#363762
#361432
#360052
#357862
#357712
#356872
#348292
#343112
#342592
C4×#5502
C22⋊C4×#412