Finite Group Databasebeta

← #7689207

Subgroups — #7689207

Order 512.

8932 conjugacy classes of subgroups.

The subgroup lattice has 1631 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3517C211yesmaximal, characteristic, complemented
2C22×#550C211yesmaximal, characteristic, complemented
3#59770C213yesmaximal, complemented
4#59124C213yesmaximal, complemented
5#59097C213yesmaximal, complemented
6#59028C213yesmaximal, complemented
7#59015C213yesmaximal, complemented
8#44935C213yesmaximal, complemented
9#44930C213yesmaximal, complemented
10#44895C213yesmaximal, complemented
11#44889C213yesmaximal, complemented
12#38089C213yesmaximal, complemented
13#38033C213yesmaximal, complemented
14#37694C213yesmaximal, complemented
15#37662C213yesmaximal, complemented
16#36455C211yesmaximal, characteristic, complemented
17#36435C211yesmaximal, characteristic, complemented
18#36433C211yesmaximal, characteristic, complemented
19#36429C211yesmaximal, characteristic, complemented
20#36429C211yesmaximal, characteristic, complemented
21#36157C213yesmaximal, complemented
22#36123C213yesmaximal, complemented
23#36049C211yesmaximal, characteristic, complemented
24#36029C211yesmaximal, characteristic, complemented
25#36029C211yesmaximal, characteristic, complemented
26#36005C211yesmaximal, characteristic, complemented
27#34670C213yesmaximal, complemented
28#34295C211yesmaximal, characteristic, complemented
29#34294C211yesmaximal, characteristic, complemented
30#34175C211yesmaximal, characteristic, complemented
31C22⋊C4×#41C211yesmaximal, characteristic, complemented
32C23×#41C2211yescharacteristic
33C23×#41C2211yescharacteristic
34#3517—216no—
35C2×#557C2211yescharacteristic, complemented
36C2×#553C2213yescomplemented
37C2×#553C2213yescomplemented
38C2×#550—216no—
39C2×#550C2211yescharacteristic
40C2×#550C2213yes—
41C2×#550C2213yes—
42C2×#550C2213yes—
43C2×#550C2213yes—
44C2×#550C2211yescharacteristic
45C2×#550C2211yescharacteristic
46C2×#550C2211yescharacteristic
47C2×#550C2211yescharacteristic, complemented
48C2×#550C2211yescharacteristic, complemented
49C2×#550C2213yescomplemented
50C2×#550C2211yescharacteristic, complemented
51C2×#550C2211yescharacteristic, complemented
52C2×#548C2211yescharacteristic
53C2×#547C2213yescomplemented
54C2×#546C2216yes—
55C2×#540C2213yescomplemented
56C2×#540C2213yescomplemented
57C2×#532C2213yescomplemented
58C22×#127C2213yes—
59C2×#529C2213yescomplemented
60C22×#121C2213yes—
61C22×#121C2213yes—
62C2×#520C2211yescharacteristic, complemented
63C2×#520C2211yescharacteristic, complemented
64C2×#520C2211yescharacteristic, complemented
65C2×C4×#41C2211yescharacteristic, complemented
66C2×C4×#41C2211yescharacteristic, complemented
67C22×C4×Q8C2211yescharacteristic
68C22×C4×D4C2213yes—
69#2856C2213yescomplemented
70#2854C2213yescomplemented
71#2851C2213yes—
72#2847C2213yes—
73#2847C2213yes—
74#2709C2216yescomplemented
75#2709C2216yescomplemented
76#2703C2216yescomplemented
77#2701C2216yescomplemented
78#2699C2216yescomplemented
79#2688C2216yescomplemented
80#2688C2216yescomplemented
81#2673C2216yescomplemented
82#2673C2216yescomplemented
83#2673C2216yescomplemented
84#2673C2216yescomplemented
85#2672C2216yescomplemented
86#2671C2216yescomplemented
87#2671C2216yescomplemented
88#2641C2213yescomplemented
89#2624C2213yescomplemented
90#2619C2213yescomplemented
91#2619C2213yescomplemented
92#2581C2213yescomplemented
93#2565C2213yescomplemented
94#2562C2213yescomplemented
95#2559C2216yescomplemented
96#2555C2216yescomplemented
97#2548C2213yescomplemented
98#2543C2216yescomplemented
99#2541C2213yescomplemented
100#2541C2213yescomplemented
101#2541C2213yescomplemented
102#2537C2213yescomplemented
103#2535C2213yescomplemented
104#2535C2213yescomplemented
105#2501C2213yescomplemented
106#2500C2213yescomplemented
107#2491C2213yescomplemented
108#2491C2213yescomplemented
109#2490C2213yescomplemented
110#2490C2213yescomplemented
111#2487C2213yescomplemented
112#2485C2213yescomplemented
113#2481C2213yes—
114#2480C2213yes—
115#2473C2211yescharacteristic
116#2472C2213yes—
117#2467C2216yescomplemented
118#2467C2213yescomplemented
119#2466C2213yescomplemented
120#2464C2216yescomplemented
121#2464C2216yescomplemented
122#2460C2213yescomplemented
123#2459C2213yescomplemented
124#2457C2216yescomplemented
125#2453C2213yescomplemented
126#2451C2213yescomplemented
127#2450C2213yescomplemented
128#2445C2213yescomplemented
129#2445C2213yescomplemented
130#2445C2213yescomplemented
131#2445C2213yescomplemented
132#2444C2216yescomplemented
133#2444C2213yescomplemented
134#2442C2213yes—
135#2440C2213yes—
136#2437C2213yes—
137#2433C2213yes—
138#2433C2213yes—
139#2431C2213yescomplemented
140#2431C2213yescomplemented
141#2431C2213yescomplemented
142#2431C2213yescomplemented
143#2431C2216yescomplemented
144#2430C2216yescomplemented
145#2430C2216yescomplemented
146#2428C2213yescomplemented
147#2428C2213yescomplemented
148#2428C2213yescomplemented
149#2428C2213yescomplemented
150#2428C2213yescomplemented
151#2428C2213yescomplemented
152#2428C2216yescomplemented
153#2425C2213yescomplemented
154#2425C2216yescomplemented
155#2422C2213yescomplemented
156#2422C2213yescomplemented
157#2422C2213yescomplemented
158#2420C2213yescomplemented
159#2419C2213yescomplemented
160#2418C2216yes—
161#2416C2213yescomplemented
162#2416C2213yescomplemented
163#2416C2213yescomplemented
164#2416C2213yescomplemented
165#2414C2213yescomplemented
166#2414C2213yescomplemented
167#2412C2213yes—
168#2410C2216yes—
169#2410C2216yes—
170#2410C2213yes—
171#2408C2216yes—
172#2408C2213yes—
173#2408C2213yes—
174#2407C2213yescomplemented
175#2407C2213yescomplemented
176#2407C2213yescomplemented
177#2407C2213yescomplemented
178#2405C2213yes—
179#2405C2216yes—
180#2398C2213yescomplemented
181#2395C2213yescomplemented
182#2392C2213yescomplemented
183#2392C2213yescomplemented
184#2367C2213yescomplemented
185#2366C2213yescomplemented
186#2364C2216yescomplemented
187#2363C2213yescomplemented
188#2361C2213yes—
189#2361C2213yescomplemented
190#2360C2213yescomplemented
191#2358C2216yes—
192#2352C2213yescomplemented
193#2351C2211yescharacteristic, complemented
194#2351C2211yescharacteristic, complemented
195Q8×C4⋊C4C2211yescharacteristic, complemented
196Q8×C4⋊C4C2211yescharacteristic, complemented
197D4×C4⋊C4C2213yes—
198#2341C2211yescharacteristic, complemented
199#2341C2211yescharacteristic, complemented
200#2341C2211yescharacteristic, complemented
201#2341C2211yescharacteristic, complemented
202#2341C2211yescharacteristic, complemented
203#2341C2211yescharacteristic, complemented
204#2341C2211yescharacteristic, complemented
205#2341C2211yescharacteristic, complemented
206#2341C2211yescharacteristic, complemented
207Q8×C22⋊C4C2211yescharacteristic
208Q8×C22⋊C4C2211yescharacteristic
209Q8×C22⋊C4C2211yescharacteristic
210#2339C2213yescomplemented
211#2339C2213yescomplemented
212#2339C2213yescomplemented
213#2339C2213yescomplemented
214D4×C22⋊C4C2213yes—
215D4×C22⋊C4C2213yes—
216D4×C22⋊C4C2213yes—
217D4×C22⋊C4C2213yes—
218#2328C2213yescomplemented
219#2326C2213yescomplemented
220#2324C2213yescomplemented
221#2323C2213yescomplemented
222#2311C2213yescomplemented
223#2311C2213yescomplemented
224C4×C22⋊Q8C2213yes—
225C4×#123C2213yescomplemented
226C4×#121C2213yes—
227C4×#121C2213yescomplemented
228C4×#121C2213yescomplemented
229C4×#120C2213yes—
230C4×#120C2213yes—
231#2297C2213yescomplemented
232#2297C2213yescomplemented
233#2290C2213yes—
234#2290C2213yescomplemented
235#2280C2213yes—
236#2280C2213yes—
237C2×#380C2213yes—
238#2276C2211yescharacteristic, complemented
239C2×C4×C22⋊C4C2213yes—
240C22×#41—28no—
241C22×#41—28no—
242C22×#41—28no—
243C22×#41—28no—
244C22×#41—44no—
245C22×#41—44no—
246C22×#41C2311yescharacteristic
247C22×#41C2311yescharacteristic
248C22×#41C2311yescharacteristic
249C22×#41C2313yes—
250C22×#41C2313yes—
251C22×#41C2313yes—
252C22×#41C2313yes—
253C22×#41C2311yescharacteristic
254C22×#41C2311yescharacteristic
255C22×#41C2316yes—
256C23×Q8C2311yescharacteristic
257C23×D4C2313yes—
258C23×D4C2313yes—
259C23×D4C2313yes—
260C23×D4C2316yes—
261C24×C4C2313yes—
262C24×C4C2313yes—
263#557—28no—
264#553—224no—
265#553—224no—
266#550—28no—
267#550—28no—
268#550—28no—
269#550—28no—
270#550—224no—
271#550—224no—
272#550—224no—
273#550—224no—
274#550—28no—
275#550—224no—
276#550—44no—
277#550—44no—
278#550D4116yescomplemented
279#548—28no—
280#547—224no—
281#546—424no—
282#540—224no—
283#540—224no—
284#532—224no—
285C2×C4⋊Q8C2313yes—
286C2×#127—224no—
287C2×#127C2313yes—
288C2×#127C2316yes—
289C2×#127C2316yes—
290C2×#127C2313yes—
291C2×#127C2313yes—
292C2×#127C2313yes—
293C2×#127C2313yes—
294C2×#127C2313yes—
295C2×#127C2313yes—
296C2×#127C2313yes—
297#529—224no—
298C2×#126C2313yes—
299C2×#126C2313yes—
300C2×#125C2313yes—
301C2×#125C2311yescharacteristic
302C2×#125C2313yes—
303C2×#124C2313yes—
304C2×#124C2313yes—
305C2×#124C2316yes—
306C2×#123C2313yes—
307C2×#123C2316yes—
308C2×#123C2313yes—
309C2×#123C2316yes—
310C2×#123C2316yes—
311C2×#123C2313yes—
312C2×#123C2316yes—
313C2×#123C2316yes—
314C2×C22⋊Q8C2313yes—
315C2×C22⋊Q8C2313yes—
316C2×C22⋊Q8C2313yes—
317C2×#121—224no—
318C2×#121—224no—
319C2×#121C2313yes—
320C2×#121C2313yes—
321C2×#121C2313yes—
322C2×#121C2313yes—
323C2×#121C2313yes—
324C2×#121C2313yes—
325C2×#121C2313yes—
326C2×#121C2316yes—
327C2×#121C2316yes—
328C2×#121C2313yes—
329C2×#121C2313yes—
330C2×#121C2313yes—
331C2×#121C2313yes—
332C2×#121C2316yes—
333C2×#121C2316yes—
334C2×#121C2316yes—
335C2×#121C2313yes—
336C2×#121C2316yes—
337C2×#121C2316yes—
338C2×#121C2313yes—
339C2×#121C2313yes—
340C2×#121C2316yes—
341C2×#121C2313yes—
342C2×#121C2313yes—
343C2×#121C2316yes—
344C2×#121C2313yes—
345C2×#121C2316yes—
346C2×#121C2316yes—
347C2×#121C2316yes—
348C2×#121C2316yes—
349C2×#121C2313yes—
350C2×#121C2313yes—
351C2×#120C2313yes—
352C2×#120C2316yes—
353C2×#120C2316yes—
354C2×#120C2313yes—
355#520—28no—
356#520—28no—
357#520—44no—
358C4×#41—28no—
359C4×#41—44no—
360C2×C4×Q8—28no—
361C2×C4×Q8C2313yes—
362C2×C4×Q8C2313yes—
363C2×C4×Q8C2311yescharacteristic
364C2×C4×Q8C2311yescharacteristic
365C2×C4×Q8C2311yescharacteristic
366C2×C4×Q8C2311yescharacteristic
367C2×C4×Q8C2311yescharacteristic
368C2×C4×Q8C2311yescharacteristic
369C2×C4×Q8C2311yescharacteristic
370C2×C4×Q8C2311yescharacteristic
371C2×C4×Q8C2313yes—
372C2×C4×Q8C2311yescharacteristic
373C2×C4×D4—224no—
374C2×C4×D4C2313yes—
375C2×C4×D4C2313yes—
376C2×C4×D4C2313yes—
377C2×C4×D4C2313yes—
378C2×C4×D4C2313yes—
379C2×C4×D4C2313yes—
380C2×C4×D4C2313yes—
381C2×C4×D4C2316yes—
382C2×C4×D4C2313yes—
383C2×C4×D4C2313yes—
384C2×C4×D4C2313yes—
385C2×C4×D4C2313yes—
386C2×C4×D4C2313yes—
387C2×C4×D4C2313yes—
388C2×C4×D4C2313yes—
389C2×C4×D4C2313yes—
390C2×C4×D4C2313yes—
391C2×C4×D4C2313yes—
392C2×C4×D4C2313yes—
393C2×C4×D4C2313yes—
394C2×C4×D4C2313yes—
395C2×C4×D4C2316yes—
396C2×C4×D4C2316yes—
397C2×C4×D4C2313yes—
398C2×C4×D4C2313yes—
399C2×C4×D4C2313yes—
400C2×#117C2313yes—
401C2×#117C2313yes—
402C2×#117C2313yes—
403C2×#117C2313yes—
404C2×#117C2313yes—
405C22×C4⋊C4C2313yes—
406C22×C4⋊C4C2313yes—
407C22×C4⋊C4C2313yes—
408C22×C4⋊C4C2311yescharacteristic
409C22×C4⋊C4C2313yes—
410C22×C22⋊C4C2313yes—
411C22×C22⋊C4C2313yes—
412C22×C22⋊C4C2313yes—
413C22×C22⋊C4C2316yes—
414C22×C22⋊C4C2313yes—
415C22×C42C2313yes—
416C22×C42C2313yes—
417C22×C42C2313yes—
418#400C2313yes—
419#400C2316yes—
420#400C2313yes—
421#400C2311yescharacteristic
422#399C2316yes—
423#399C2313yes—
424#398C2316yes—
425#398C2316yes—
426#398C2311yescharacteristic
427#398C2311yescharacteristic
428#398C2311yescharacteristic
429#397C2313yes—
430#397C2313yes—
431#397C2313yes—
432#397C2313yes—
433#397C2313yes—
434#397C2313yes—
435#397C2313yes—
436#397C2316yes—
437#396C2313yes—
438#396C2313yes—
439#396C2313yes—
440#396C2313yes—
441#395C2316yes—
442#394C2316yes—
443#394C2313yes—
444#394C2313yes—
445#394C2316yes—
446#394C2316yes—
447#394C2316yes—
448#394C2316yes—
449#394C2313yes—
450#394C2316yes—
451#394C2316yes—
452#394C2313yes—
453#394C2313yes—
454#394C2313yes—
455#394C2313yes—
456#394C2313yes—
457#394C2313yes—
458#394C2313yes—
459#394C2316yes—
460#394C2316yes—
461#394C2316yes—
462#394C2316yes—
463#394C2316yes—
464#394C2316yes—
465#394C2316yes—
466#393C2313yes—
467#393C2313yes—
468#392C2316yes—
469#392C2316yes—
470#392C2316yes—
471#392C2316yes—
472#392C2313yes—
473#392C2313yes—
474#392C2316yes—
475#392C2316yes—
476#392C2316yes—
477#392C2316yes—
478#392C2316yes—
479#392C2316yes—
480#392C2316yes—
481#392C2316yes—
482#391C2313yes—
483#391C2313yes—
484#391C2313yes—
485#391C2313yes—
486#391C2313yes—
487#391C2313yes—
488#391C2313yes—
489#390C2313yes—
490#390C2313yes—
491#390C2313yes—
492#390C2313yes—
493#390C2313yes—
494#390C2316yes—
495#390C2313yes—
496#390C2313yes—
497#390C2313yes—
498#390C2313yes—
499#390C2313yes—
500#390C2313yes—
501#390C2313yes—
502#390C2313yes—
503#390C2313yes—
504#390C2313yes—
505#390C2313yes—
506#390C2313yes—
507#390C2313yes—
508#390C2313yes—
509#390C2316yes—
510#390C2316yes—
511#389C2313yes—
512#389C2316yes—
513#389C2313yes—
514#389C2313yes—
515#389C2313yes—
516#389C2313yes—
517#389C2313yes—
518#389C2313yes—
519#389C2313yes—
520#389C2313yes—
521#389C2311yescharacteristic
522#388C2316yes—
523#388C2316yes—
524#388C2316yes—
525#388C2316yes—
526#388C2316yes—
527#388C2313yes—
528#388C2313yes—
529#388C2316yes—
530#388C2313yes—
531#388C2313yes—
532#388C2313yes—
533#388C2313yes—
534#388C2313yes—
535#388C2313yes—
536#387C2313yes—
537#387C2316yes—
538#387C2313yes—
539#387C2313yes—
540#387C2316yes—
541#387C2313yes—
542#387C2313yes—
543#387C2313yes—
544#387C2311yescharacteristic
545#387C2311yescharacteristic
546#386C2316yes—
547#386C2316yes—
548#386C2316yes—
549#386C2316yes—
550#386C2316yes—
551#386C2313yes—
552#386C2316yes—
553#386C2316yes—
554#386C2313yes—
555#386C2313yes—
556#386C2316yes—
557#386C2316yes—
558#386C2316yes—
559#386C2316yes—
560#386C2316yes—
561#386C2316yes—
562#386C2316yes—
563#386C2316yes—
564#386C2316yes—
565#386C2316yes—
566#386C2316yes—
567#386C2313yes—
568#386C2316yes—
569#386C2316yes—
570#386C2313yes—
571#386C2316yes—
572#386C2313yes—
573#386C2313yes—
574#386C2313yes—
575#386C2313yes—
576#386C2313yes—
577#386C2313yes—
578#386C2313yes—
579#386C2313yes—
580#385C2313yes—
581#385C2316yes—
582#385C2316yes—
583#385C2313yes—
584#385C2316yes—
585#385C2313yes—
586#385C2316yes—
587#385C2313yes—
588#385C2311yescharacteristic
589#385C2313yes—
590#385C2313yes—
591#385C2313yes—
592#385C2313yes—
593#385C2311yescharacteristic
594#385C2313yes—
595#385C2311yescharacteristic
596#385C2311yescharacteristic
597#384C2313yes—
598#384C2313yes—
599#382C2313yes—
600#382C2313yes—
601#381C2313yes—
602#381C2313yes—
603#381C2316yes—
604#381C2313yes—
605#380C2313yes—
606#380C2313yes—
607#380C2313yes—
608#380C2313yes—
609#380C2313yes—
610#380C2316yes—
611#380C2313yes—
612#380C2313yes—
613#380C2313yes—
614#380C2313yes—
615#380C2313yes—
616#380C2313yes—
617#380C2313yes—
618#380C2313yes—
619#380C2313yes—
620#380C2313yes—
621#380C2311yescharacteristic
622#380C2313yes—
623#380C2313yes—
624#379C2316yes—
625#379C2313yes—
626#379C2313yes—
627#379C2313yes—
628#379C2313yes—
629C4×C4⋊C4C2313yes—
630C4×C4⋊C4C2313yes—
631C4×C4⋊C4C2313yes—
632C4×C4⋊C4C2313yes—
633C4×C4⋊C4C2313yes—
634C4×C4⋊C4C2313yes—
635C4×C4⋊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⋊C4C2316yes—
651C4×C22⋊C4C2316yes—
652C4×C22⋊C4C2313yes—
653C4×C22⋊C4C2313yes—
654C4×C22⋊C4C2311yescharacteristic
655#376C2313yes—
656C2×#95C2316yes—
657C2×#95C2313yes—
658C2×#95C2313yes—
659C25C2413yes—
660C25C2413yes—
661C2×#41—24no—
662C2×#41—24no—
663C2×#41—24no—
664C2×#41—24no—
665C2×#41—24no—
666C2×#41—24no—
667C2×#41—212no—
668C2×#41—212no—
669C2×#41—212no—
670C2×#41—212no—
671C2×#41—24no—
672C2×#41—24no—
673C2×#41—24no—
674C2×#41—24no—
675C2×#41—24no—
676C2×#41—24no—
677C2×#41—24no—
678C2×#41—212no—
679C2×#41—212no—
680C2×#41—224no—
681C2×#41—212no—
682C2×#41—212no—
683C2×#41—46no—
684C2×#41—46no—
685C2×#41—46no—
686C2×#41—46no—
687C2×#41—412no—
688C2×#41—464no—
689C2×#41—464no—
690C2×#41—86no—
691C2×#41C2×D418yes—
692C2×#41C2×D418yes—
693C22×Q8—24no—
694C22×Q8—24no—
695C22×Q8#4118yescomplemented
696C22×Q8C2413yes—
697C22×Q8C2413yes—
698C22×Q8C2411yescharacteristic
699C22×D4—212no—
700C22×D4—212no—
701C22×D4—212no—
702C22×D4—224no—
703C22×D4—212no—
704C22×D4—212no—
705C22×D4—46no—
706C22×D4—46no—
707C22×D4—46no—
708C22×D4—46no—
709C22×D4—412no—
710C22×D4—86no—
711C22×D4C2413yes—
712C22×D4C2413yes—
713C22×D4C2413yes—
714C22×D4C2413yes—
715C22×D4C2413yes—
716C22×D4C2413yes—
717C22×D4C2413yes—
718C22×D4C2416yes—
719C22×D4C2416yes—
720C22×D4C2413yes—
721C22×D4C2413yes—
722C22×D4C2413yes—
723C22×D4C2416yes—
724C22×D4C2413yes—
725C22×D4C2413yes—
726C22×D4C2416yes—
727C22×D4C2416yes—
728C22×D4C2416yes—
729C22×D4C2416yes—
730C22×D4C2413yes—
731C22×D4C2416yes—
732C22×D4C2416yes—
733C22×D4C2413yes—
734C22×D4C2416yes—
735C23×C4—212no—
736C23×C4—212no—
737C23×C4—212no—
738C23×C4—212no—
739C23×C4—46no—
740C23×C4—46no—
741C23×C4C2413yes—
742C23×C4C2411yescharacteristic
743C23×C4C2413yes—
744C23×C4C2413yes—
745C23×C4C2411yescharacteristic
746C23×C4C2411yescharacteristic
747C23×C4C2413yes—
748C23×C4C2413yes—
749C23×C4C2413yes—
750C23×C4C2413yes—
751C23×C4C2413yes—
752C23×C4C2413yes—
753C23×C4C2413yes—
754C23×C4C2413yes—
755C23×C4C2413yes—
756C23×C4C2416yes—
757C23×C4C2413yes—
758C23×C4C2413yes—
759C23×C4C2416yes—
760C23×C4C2416yes—
761C23×C4C2413yes—
762C4⋊Q8—212no—
763#127—224no—
764#127—212no—
765#127—212no—
766#127—224no—
767#127—212no—
768#127—212no—
769#127—212no—
770#127—46no—
771#127—46no—
772#127C2×D4124yes—
773#126—212no—
774#126—212no—
775#125—24no—
776#125—212no—
777#125—212no—
778#124—212no—
779#124—212no—
780#124—412no—
781#123—212no—
782#123—224no—
783#123—212no—
784#123—224no—
785#123—412no—
786#123—412no—
787#123—46no—
788#123—86no—
789C22⋊Q8—212no—
790C22⋊Q8—212no—
791C22⋊Q8—212no—
792#121—212no—
793#121—212no—
794#121—224no—
795#121—224no—
796#121—212no—
797#121—224no—
798#121—212no—
799#121—224no—
800#121—224no—
801#121—212no—
802#121—212no—
803#121—212no—
804#121—212no—
805#121—212no—
806#121—212no—
807#121—212no—
808#121—212no—
809#121—224no—
810#121—224no—
811#121—46no—
812#121—412no—
813#121—412no—
814#121—412no—
815#121—412no—
816#121—46no—
817#121—46no—
818#121—46no—
819#121—46no—
820#121—86no—
821#121—86no—
822#121C2×D4124yes—
823#121C2×D4124yes—
824#120—212no—
825#120—412no—
826#120—46no—
827#120—412no—
828C4×Q8—24no—
829C4×Q8—24no—
830C4×Q8—24no—
831C4×Q8—24no—
832C4×Q8—24no—
833C4×Q8—24no—
834C4×Q8—24no—
835C4×Q8—24no—
836C4×Q8—212no—
837C4×Q8—212no—
838C4×Q8—212no—
839C4×Q8C2×D418yes—
840C4×D4—212no—
841C4×D4—212no—
842C4×D4—212no—
843C4×D4—212no—
844C4×D4—212no—
845C4×D4—212no—
846C4×D4—212no—
847C4×D4—212no—
848C4×D4—212no—
849C4×D4—212no—
850C4×D4—212no—
851C4×D4—212no—
852C4×D4—212no—
853C4×D4—212no—
854C4×D4—224no—
855C4×D4—212no—
856C4×D4—212no—
857C4×D4—46no—
858C4×D4—46no—
859C4×D4—46no—
860C4×D4—46no—
861C4×D4—46no—
862C4×D4—46no—
863C4×D4—412no—
864C4×D4—412no—
865C4×D4C2×D4124yes—
866#117—212no—
867#117—212no—
868#117—212no—
869#117—46no—
870#117—46no—
871C2×C4⋊C4—212no—
872C2×C4⋊C4—24no—
873C2×C4⋊C4—212no—
874C2×C4⋊C4—212no—
875C2×C4⋊C4—46no—
876C2×C4⋊C4C2413yes—
877C2×C4⋊C4C2413yes—
878C2×C4⋊C4C2413yes—
879C2×C4⋊C4C2413yes—
880C2×C4⋊C4C2411yescharacteristic
881C2×C4⋊C4C2411yescharacteristic
882C2×C4⋊C4C2411yescharacteristic
883C2×C4⋊C4C2413yes—
884C2×C4⋊C4C2413yes—
885C2×C4⋊C4C2413yes—
886C2×C4⋊C4C2416yes—
887C2×C4⋊C4C2411yescharacteristic
888C2×C4⋊C4C2411yescharacteristic
889C2×C4⋊C4C2413yes—
890C2×C4⋊C4C2413yes—
891C2×C4⋊C4C2411yescharacteristic
892C2×C4⋊C4C2411yescharacteristic
893C2×C4⋊C4C2413yes—
894C2×C4⋊C4C2416yes—
895C2×C4⋊C4C2413yes—
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2413yes—
898C2×C4⋊C4C2413yes—
899C2×C4⋊C4C2413yes—
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2413yes—
902C2×C4⋊C4C2413yes—
903C2×C4⋊C4C2413yes—
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2413yes—
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2416yes—
910C2×C4⋊C4C2413yes—
911C2×C4⋊C4C2416yes—
912C2×C4⋊C4C2413yes—
913C2×C4⋊C4C2413yes—
914C2×C4⋊C4C2411yescharacteristic
915C2×C22⋊C4—212no—
916C2×C22⋊C4—212no—
917C2×C22⋊C4—212no—
918C2×C22⋊C4—46no—
919C2×C22⋊C4—412no—
920C2×C22⋊C4C2413yes—
921C2×C22⋊C4C2411yescharacteristic
922C2×C22⋊C4C2413yes—
923C2×C22⋊C4C2413yes—
924C2×C22⋊C4C2413yes—
925C2×C22⋊C4C2413yes—
926C2×C22⋊C4C2413yes—
927C2×C22⋊C4C2413yes—
928C2×C22⋊C4C2413yes—
929C2×C22⋊C4C2413yes—
930C2×C22⋊C4C2413yes—
931C2×C22⋊C4C2413yes—
932C2×C22⋊C4C2413yes—
933C2×C22⋊C4C2413yes—
934C2×C22⋊C4C2416yes—
935C2×C22⋊C4C2413yes—
936C2×C22⋊C4C2413yes—
937C2×C22⋊C4C2413yes—
938C2×C22⋊C4C2411yescharacteristic
939C2×C22⋊C4C2413yes—
940C2×C22⋊C4C2413yes—
941C2×C22⋊C4C2413yes—
942C2×C22⋊C4C2413yes—
943C2×C22⋊C4C2413yes—
944C2×C22⋊C4C2411yescharacteristic
945C2×C22⋊C4C2413yes—
946C2×C22⋊C4C2413yes—
947C2×C22⋊C4C2416yes—
948C2×C22⋊C4C2416yes—
949C2×C22⋊C4C2416yes—
950C2×C22⋊C4C2413yes—
951C2×C22⋊C4C2413yes—
952C2×C22⋊C4C2413yes—
953C2×C22⋊C4C2416yes—
954C2×C22⋊C4C2413yes—
955C2×C22⋊C4C2416yes—
956C2×C22⋊C4C2413yes—
957C2×C22⋊C4C2413yes—
958C2×C22⋊C4C2416yes—
959C2×C22⋊C4C2413yes—
960C2×C22⋊C4C2413yes—
961C2×C22⋊C4C2416yes—
962C2×C22⋊C4C2416yes—
963C2×C22⋊C4C2413yes—
964C2×C22⋊C4C2413yes—
965C2×C22⋊C4C2416yes—
966C2×C22⋊C4C2413yes—
967C2×C22⋊C4C2413yes—
968C2×C22⋊C4C2413yes—
969C2×C22⋊C4C2416yes—
970C2×C22⋊C4C2416yes—
971C2×C22⋊C4C2413yes—
972C2×C22⋊C4C2413yes—
973C2×C22⋊C4C2413yes—
974C2×C22⋊C4C2413yes—
975C2×C22⋊C4C2413yes—
976C2×C22⋊C4C2413yes—
977C2×C22⋊C4C2413yes—
978C2×C22⋊C4C2413yes—
979C2×C22⋊C4C2411yescharacteristic
980C2×C42—212no—
981C2×C42—212no—
982C2×C42—46no—
983C2×C42C2413yes—
984C2×C42C2413yes—
985C2×C42C2413yes—
986C2×C42C2413yes—
987C2×C42C2413yes—
988C2×C42C2413yes—
989C2×C42C2413yes—
990C2×C42C2413yes—
991C2×C42C2413yes—
992C2×C42C2413yes—
993C2×C42C2413yes—
994C2×C42C2411yescharacteristic
995C2×C42C2413yes—
996C2×C42C2416yes—
997C2×C42C2411yescharacteristic
998C2×C42C2413yes—
999#95C2411yescharacteristic
1000#95C2411yescharacteristic
1001#95C2413yes—
1002#95C2413yes—
1003#95C2413yes—
1004#95C2413yes—
1005#95C2416yes—
1006#95C2413yes—
1007#95C2413yes—
1008#95C2413yes—
1009#95C2413yes—
1010#95C2416yes—
1011#95C2411yescharacteristic
1012#95C2413yes—
1013#95C2413yes—
1014#95C2413yes—
1015#95C2413yes—
1016#95C2411yescharacteristic
1017#95C2411yescharacteristic
1018#95C2411yescharacteristic
1019#95C2411yescharacteristic
1020#95C2411yescharacteristic
1021#95C2411yescharacteristic
1022#95C2411yescharacteristic
1023#95C2413yes—
1024#95C2413yes—
1025#95C2413yes—
1026#95C2413yes—
1027#95C2413yes—
1028#95C2413yes—
1029#95C2413yes—
1030#95C2416yes—
1031#95C2416yes—
1032#95C2411yescharacteristic
1033#95C2411yescharacteristic
1034#95C2413yes—
1035#95C2413yes—
1036#95C2413yes—
1037#95C2413yes—
1038#95C2413yes—
1039#95C2416yes—
1040C24—26no—
1041C24—26no—
1042C24—26no—
1043C24—26no—
1044C24—26no—
1045C24—26no—
1046C24—26no—
1047C24—26no—
1048C24—43no—
1049C24—43no—
1050C24—43no—
1051C24—43no—
1052C24—43no—
1053C24—43no—
1054C24C2513yes—
1055C24C2513yes—
1056C24C2513yes—
1057C24C2513yes—
1058C24C2513yes—
1059C24C2511yescharacteristic
1060#41—232no—
1061#41—232no—
1062#41—448no—
1063#41—448no—
1064#41—448no—
1065#41—448no—
1066#41—416no—
1067#41—416no—
1068#41—416no—
1069#41—848no—
1070C2×Q8—232no—
1071C2×Q8—26no—
1072C2×Q8—26no—
1073C2×Q8—26no—
1074C2×Q8—26no—
1075C2×Q8—43no—
1076C2×Q8C22×D414yes—
1077C2×Q8C2×#41112yes—
1078C2×Q8C2×#4114yes—
1079C2×Q8H(5,𝔽2)14yes—
1080C2×D4—26no—
1081C2×D4—26no—
1082C2×D4—26no—
1083C2×D4—212no—
1084C2×D4—212no—
1085C2×D4—26no—
1086C2×D4—26no—
1087C2×D4—26no—
1088C2×D4—212no—
1089C2×D4—26no—
1090C2×D4—212no—
1091C2×D4—212no—
1092C2×D4—212no—
1093C2×D4—26no—
1094C2×D4—26no—
1095C2×D4—26no—
1096C2×D4—26no—
1097C2×D4—212no—
1098C2×D4—26no—
1099C2×D4—26no—
1100C2×D4—26no—
1101C2×D4—212no—
1102C2×D4—212no—
1103C2×D4—26no—
1104C2×D4—26no—
1105C2×D4—26no—
1106C2×D4—26no—
1107C2×D4—26no—
1108C2×D4—26no—
1109C2×D4—26no—
1110C2×D4—26no—
1111C2×D4—26no—
1112C2×D4—26no—
1113C2×D4—26no—
1114C2×D4—448no—
1115C2×D4—448no—
1116C2×D4—46no—
1117C2×D4—43no—
1118C2×D4—43no—
1119C2×D4—43no—
1120C2×D4—43no—
1121C2×D4—43no—
1122C2×D4—43no—
1123C2×D4—46no—
1124C2×D4—46no—
1125C2×D4—46no—
1126C2×D4—43no—
1127C2×D4—448no—
1128C2×D4—43no—
1129C2×D4—43no—
1130C2×D4—46no—
1131C2×D4—46no—
1132C2×D4—43no—
1133C2×D4—43no—
1134C2×D4—46no—
1135C2×D4—46no—
1136C2×D4—46no—
1137C2×D4—43no—
1138C2×D4—46no—
1139C2×D4—43no—
1140C2×D4—43no—
1141C2×D4—46no—
1142C2×D4—46no—
1143C2×D4—46no—
1144C2×D4—46no—
1145C2×D4—46no—
1146C2×D4—46no—
1147C2×D4—46no—
1148C2×D4—46no—
1149C2×D4—46no—
1150C2×D4—46no—
1151C2×D4—848no—
1152C2×D4C22×D4112yes—
1153C2×D4C22×D4112yes—
1154C2×D4C22×D4112yes—
1155C2×D4C22×D4124yes—
1156C22×C4—22no—
1157C22×C4—22no—
1158C22×C4—26no—
1159C22×C4—26no—
1160C22×C4—26no—
1161C22×C4—26no—
1162C22×C4—26no—
1163C22×C4—26no—
1164C22×C4—22no—
1165C22×C4—26no—
1166C22×C4—26no—
1167C22×C4—26no—
1168C22×C4—22no—
1169C22×C4—22no—
1170C22×C4—26no—
1171C22×C4—26no—
1172C22×C4—212no—
1173C22×C4—26no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—26no—
1177C22×C4—26no—
1178C22×C4—26no—
1179C22×C4—26no—
1180C22×C4—26no—
1181C22×C4—26no—
1182C22×C4—26no—
1183C22×C4—26no—
1184C22×C4—26no—
1185C22×C4—26no—
1186C22×C4—26no—
1187C22×C4—26no—
1188C22×C4—26no—
1189C22×C4—26no—
1190C22×C4—26no—
1191C22×C4—26no—
1192C22×C4—212no—
1193C22×C4—26no—
1194C22×C4—41no—
1195C22×C4—41no—
1196C22×C4—43no—
1197C22×C4—43no—
1198C22×C4—43no—
1199C22×C4—43no—
1200C22×C4—43no—
1201C22×C4—43no—
1202C22×C4—448no—
1203C22×C4—448no—
1204C22×C4—43no—
1205C22×C4—43no—
1206C22×C4—46no—
1207C22×C4—43no—
1208C22×C4—43no—
1209C22×C4—46no—
1210C22×C4—43no—
1211C22×C4—43no—
1212C22×C4—46no—
1213C22×C4—43no—
1214C22×C4—46no—
1215C22×C4—46no—
1216C22×C4—46no—
1217C22×C4—46no—
1218C22×C4C22×D4112yes—
1219C22×C4C22×D4112yes—
1220C22×C4C2×#41112yes—
1221C22×C4C2511yescharacteristic
1222C22×C4C2511yescharacteristic
1223C22×C4C2511yescharacteristic
1224C22×C4C2511yescharacteristic
1225C22×C4C2513yes—
1226C22×C4C2513yes—
1227C22×C4C2511yescharacteristic
1228C22×C4C2513yes—
1229C22×C4C2511yescharacteristic
1230C22×C4C2513yes—
1231C22×C4C2511yescharacteristic
1232C22×C4C2513yes—
1233C22×C4C2513yes—
1234C22×C4C2513yes—
1235C22×C4C2513yes—
1236C22×C4C2511yescharacteristic
1237C22×C4C2511yescharacteristic
1238C22×C4C2511yescharacteristic
1239C22×C4C2513yes—
1240C22×C4C2511yescharacteristic
1241C22×C4C2513yes—
1242C22×C4C2511yescharacteristic
1243C22×C4C2511yescharacteristic
1244C22×C4C2511yescharacteristic
1245C22×C4C2513yes—
1246C4⋊C4—26no—
1247C4⋊C4—26no—
1248C4⋊C4—26no—
1249C4⋊C4—22no—
1250C4⋊C4—22no—
1251C4⋊C4—22no—
1252C4⋊C4—26no—
1253C4⋊C4—212no—
1254C4⋊C4—26no—
1255C4⋊C4—22no—
1256C4⋊C4—22no—
1257C4⋊C4—26no—
1258C4⋊C4—22no—
1259C4⋊C4—22no—
1260C4⋊C4—212no—
1261C4⋊C4—22no—
1262C4⋊C4—26no—
1263C4⋊C4—26no—
1264C4⋊C4—26no—
1265C4⋊C4—26no—
1266C4⋊C4—26no—
1267C4⋊C4—26no—
1268C4⋊C4—26no—
1269C4⋊C4—26no—
1270C4⋊C4—26no—
1271C4⋊C4—26no—
1272C4⋊C4—22no—
1273C4⋊C4—26no—
1274C4⋊C4—22no—
1275C4⋊C4—43no—
1276C4⋊C4—41no—
1277C4⋊C4—41no—
1278C4⋊C4—41no—
1279C4⋊C4—46no—
1280C4⋊C4—43no—
1281C4⋊C4—46no—
1282C4⋊C4—43no—
1283C4⋊C4C22×D4112yes—
1284C4⋊C4C22×D414yes—
1285C22⋊C4—26no—
1286C22⋊C4—26no—
1287C22⋊C4—26no—
1288C22⋊C4—212no—
1289C22⋊C4—26no—
1290C22⋊C4—26no—
1291C22⋊C4—26no—
1292C22⋊C4—22no—
1293C22⋊C4—26no—
1294C22⋊C4—26no—
1295C22⋊C4—22no—
1296C22⋊C4—26no—
1297C22⋊C4—22no—
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—212no—
1308C22⋊C4—26no—
1309C22⋊C4—26no—
1310C22⋊C4—26no—
1311C22⋊C4—26no—
1312C22⋊C4—26no—
1313C22⋊C4—43no—
1314C22⋊C4—43no—
1315C22⋊C4—46no—
1316C22⋊C4—46no—
1317C22⋊C4—43no—
1318C22⋊C4—43no—
1319C22⋊C4—46no—
1320C22⋊C4—46no—
1321C22⋊C4—43no—
1322C22⋊C4—43no—
1323C22⋊C4—43no—
1324C22⋊C4—43no—
1325C22⋊C4—46no—
1326C22⋊C4—46no—
1327C22⋊C4—46no—
1328C22⋊C4—43no—
1329C22⋊C4—43no—
1330C22⋊C4—46no—
1331C22⋊C4—46no—
1332C22⋊C4—43no—
1333C22⋊C4—43no—
1334C22⋊C4—43no—
1335C22⋊C4—43no—
1336C22⋊C4—46no—
1337C22⋊C4—43no—
1338C22⋊C4—43no—
1339C22⋊C4—43no—
1340C22⋊C4—43no—
1341C22⋊C4—43no—
1342C22⋊C4C22×D4112yes—
1343C22⋊C4C22×D4112yes—
1344C22⋊C4H(5,𝔽2)14yes—
1345C42—22no—
1346C42—26no—
1347C42—26no—
1348C42—26no—
1349C42—26no—
1350C42—26no—
1351C42—26no—
1352C42—26no—
1353C42—26no—
1354C42—26no—
1355C42—26no—
1356C42—26no—
1357C42—41no—
1358C42—43no—
1359C42—46no—
1360C42C22×D4112yes—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—23no—
1366C23—23no—
1367C23—23no—
1368C23—23no—
1369C23—23no—
1370C23—23no—
1371C23—23no—
1372C23—23no—
1373C23—23no—
1374C23—23no—
1375C23—23no—
1376C23—23no—
1377C23—23no—
1378C23—23no—
1379C23—23no—
1380C23—23no—
1381C23—23no—
1382C23—23no—
1383C23—23no—
1384C23—23no—
1385C23—23no—
1386C23—23no—
1387C23—23no—
1388C23—23no—
1389C23—23no—
1390C23—23no—
1391C23—23no—
1392C23—23no—
1393C23—23no—
1394C23—23no—
1395C23—23no—
1396C23—23no—
1397C23—23no—
1398C23—412no—
1399C23—412no—
1400C23—412no—
1401C23—412no—
1402C23—412no—
1403C23—412no—
1404C23—412no—
1405C23—412no—
1406C23—86no—
1407C23—86no—
1408C23—86no—
1409C23—86no—
1410C23—86no—
1411C23—86no—
1412C23C23×D416yes—
1413C23C23×D416yes—
1414C23C22×#4112yes—
1415C23C2×H(5,𝔽2)12yes—
1416C23#58512yes—
1417C23C2611yescharacteristic
1418Q8—224no—
1419Q8—412no—
1420Q8#546116yescomplemented
1421D4—224no—
1422D4—224no—
1423D4—412no—
1424D4—424no—
1425D4—412no—
1426D4—412no—
1427D4—424no—
1428D4—424no—
1429D4—412no—
1430D4—412no—
1431D4—412no—
1432D4—412no—
1433D4—412no—
1434D4—412no—
1435D4—86no—
1436D4—812no—
1437D4—812no—
1438D4—86no—
1439D4—812no—
1440D4—812no—
1441D4—812no—
1442D4—86no—
1443D4—166no—
1444D4—166no—
1445C2×C4—28no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—23no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—23no—
1454C2×C4—21no—
1455C2×C4—23no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—23no—
1461C2×C4—21no—
1462C2×C4—224no—
1463C2×C4—224no—
1464C2×C4—224no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—23no—
1468C2×C4—23no—
1469C2×C4—23no—
1470C2×C4—23no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—23no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—23no—
1482C2×C4—23no—
1483C2×C4—23no—
1484C2×C4—23no—
1485C2×C4—23no—
1486C2×C4—23no—
1487C2×C4—23no—
1488C2×C4—23no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—23no—
1493C2×C4—23no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—23no—
1497C2×C4—23no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—23no—
1502C2×C4—21no—
1503C2×C4—23no—
1504C2×C4—21no—
1505C2×C4—23no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—23no—
1509C2×C4—21no—
1510C2×C4—23no—
1511C2×C4—23no—
1512C2×C4—23no—
1513C2×C4—412no—
1514C2×C4—412no—
1515C2×C4—44no—
1516C2×C4—44no—
1517C2×C4—412no—
1518C2×C4—412no—
1519C2×C4—412no—
1520C2×C4—412no—
1521C2×C4—412no—
1522C2×C4—412no—
1523C2×C4—412no—
1524C2×C4—86no—
1525C2×C4—812no—
1526C2×C4—86no—
1527C2×C4—812no—
1528C2×C4—86no—
1529C2×C4—166no—
1530C2×C4C23×D412yes—
1531C2×C4C23×D412yes—
1532C2×C4C23×D416yes—
1533C2×C4C23×D412yes—
1534C2×C4C23×D416yes—
1535C2×C4C22×#4116yes—
1536C2×C4C22×#4116yes—
1537C2×C4C2×H(5,𝔽2)12yes—
1538C2×C4C2×H(5,𝔽2)12yes—
1539C2×C4C2×H(5,𝔽2)16yes—
1540C2×C4#58512yes—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—26no—
1548C22—26no—
1549C22—26no—
1550C22—26no—
1551C22—26no—
1552C22—26no—
1553C22—43no—
1554C22—43no—
1555C22—43no—
1556C22—43no—
1557C22—43no—
1558C22—43no—
1559C22—43no—
1560C22—43no—
1561C22—43no—
1562C22—43no—
1563C22—43no—
1564C22—43no—
1565C22—43no—
1566C22—43no—
1567C22—43no—
1568C22—43no—
1569C22—43no—
1570C22—43no—
1571C22—43no—
1572C22—43no—
1573C22—43no—
1574C22—43no—
1575C22—43no—
1576C22—43no—
1577C22—43no—
1578C22—43no—
1579C22—43no—
1580C22—43no—
1581C22—43no—
1582C22—824no—
1583C22—824no—
1584C22#351714yescomplemented
1585C22C24×D411yescharacteristic
1586C22C23×#4111yescharacteristic
1587C22C22×H(5,𝔽2)11yescharacteristic
1588C22C22×H(5,𝔽2)11yescharacteristic
1589C22C2×#58511yescharacteristic
1590C22C2×#58511yescharacteristic
1591C22H(7,𝔽2)11yescharacteristic
1592C4—22no—
1593C4—26no—
1594C4—22no—
1595C4—22no—
1596C4—22no—
1597C4—22no—
1598C4—22no—
1599C4—26no—
1600C4—43no—
1601C4—43no—
1602C4—43no—
1603C4—41no—
1604C4—43no—
1605C4—43no—
1606C4—43no—
1607C4—41no—
1608C4—43no—
1609C4—41no—
1610C4—41no—
1611C4—43no—
1612C4—41no—
1613C4—41no—
1614C4—41no—
1615C4—41no—
1616C4C2×#546112yes—
1617C2—24no—
1618C2—46no—
1619C2—46no—
1620C2—83no—
1621C2—83no—
1622C2—83no—
1623C2C22×#54611yescharacteristic
1624C2C2×#351711yescharacteristic
1625C2#6281111yescharacteristic
1626C2#6289911yescharacteristic
1627C2D4×H(5,𝔽2)11yescharacteristic
1628C2#6300611yescharacteristic
1629C2#6301411yescharacteristic
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×#3517C2semidirect
2. C22×#550C2semidirect
3. #59770C2semidirect
4. #59124C2semidirect
5. #59097C2semidirect
6. #59028C2semidirect
7. #59015C2semidirect
8. #44935C2semidirect
9. #44930C2semidirect
10. #44895C2semidirect
11. #44889C2semidirect
12. #38089C2semidirect
13. #38033C2semidirect
14. #37694C2semidirect
15. #37662C2semidirect
16. #36455C2semidirect
17. #36435C2semidirect
18. #36433C2semidirect
19. #36429C2semidirect
20. #36429C2semidirect
21. #36157C2semidirect
22. #36123C2semidirect
23. #36049C2semidirect
24. #36029C2semidirect
25. #36029C2semidirect
26. #36005C2semidirect
27. #34670C2semidirect
28. #34295C2semidirect
29. #34294C2semidirect
30. #34175C2semidirect
31. C22⋊C4×#41C2semidirect
35. C2×#557C22semidirect
36. C2×#553C22semidirect
37. C2×#553C22semidirect
47. C2×#550C22semidirect
48. C2×#550C22semidirect
49. C2×#550C22semidirect
50. C2×#550C22semidirect
51. C2×#550C22semidirect
53. C2×#547C22semidirect
55. C2×#540C22semidirect
56. C2×#540C22semidirect
57. C2×#532C22semidirect
59. C2×#529C22semidirect
62. C2×#520C22semidirect
63. C2×#520C22semidirect
64. C2×#520C22semidirect
65. C2×C4×#41C22semidirect
66. C2×C4×#41C22semidirect
69. #2856C22semidirect
70. #2854C22semidirect
74. #2709C22semidirect
75. #2709C22semidirect
76. #2703C22semidirect
77. #2701C22semidirect
78. #2699C22semidirect
79. #2688C22semidirect
80. #2688C22semidirect
81. #2673C22semidirect
82. #2673C22semidirect
83. #2673C22semidirect
84. #2673C22semidirect
85. #2672C22semidirect
86. #2671C22semidirect
87. #2671C22semidirect
88. #2641C22semidirect
89. #2624C22semidirect
90. #2619C22semidirect
91. #2619C22semidirect
92. #2581C22semidirect
93. #2565C22semidirect
94. #2562C22semidirect
95. #2559C22semidirect
96. #2555C22semidirect
97. #2548C22semidirect
98. #2543C22semidirect
99. #2541C22semidirect
100. #2541C22semidirect
101. #2541C22semidirect
102. #2537C22semidirect
103. #2535C22semidirect
104. #2535C22semidirect
105. #2501C22semidirect
106. #2500C22semidirect
107. #2491C22semidirect
108. #2491C22semidirect
109. #2490C22semidirect
110. #2490C22semidirect
111. #2487C22semidirect
112. #2485C22semidirect
117. #2467C22semidirect
118. #2467C22semidirect
119. #2466C22semidirect
120. #2464C22semidirect
121. #2464C22semidirect
122. #2460C22semidirect
123. #2459C22semidirect
124. #2457C22semidirect
125. #2453C22semidirect
126. #2451C22semidirect
127. #2450C22semidirect
128. #2445C22semidirect
129. #2445C22semidirect
130. #2445C22semidirect
131. #2445C22semidirect
132. #2444C22semidirect
133. #2444C22semidirect
139. #2431C22semidirect
140. #2431C22semidirect
141. #2431C22semidirect
142. #2431C22semidirect
143. #2431C22semidirect
144. #2430C22semidirect
145. #2430C22semidirect
146. #2428C22semidirect
147. #2428C22semidirect
148. #2428C22semidirect
149. #2428C22semidirect
150. #2428C22semidirect
151. #2428C22semidirect
152. #2428C22semidirect
153. #2425C22semidirect
154. #2425C22semidirect
155. #2422C22semidirect
156. #2422C22semidirect
157. #2422C22semidirect
158. #2420C22semidirect
159. #2419C22semidirect
161. #2416C22semidirect
162. #2416C22semidirect
163. #2416C22semidirect
164. #2416C22semidirect
165. #2414C22semidirect
166. #2414C22semidirect
174. #2407C22semidirect
175. #2407C22semidirect
176. #2407C22semidirect
177. #2407C22semidirect
180. #2398C22semidirect
181. #2395C22semidirect
182. #2392C22semidirect
183. #2392C22semidirect
184. #2367C22semidirect
185. #2366C22semidirect
186. #2364C22semidirect
187. #2363C22semidirect
189. #2361C22semidirect
190. #2360C22semidirect
192. #2352C22semidirect
193. #2351C22semidirect
194. #2351C22semidirect
195. Q8×C4⋊C4C22semidirect
196. Q8×C4⋊C4C22semidirect
198. #2341C22semidirect
199. #2341C22semidirect
200. #2341C22semidirect
201. #2341C22semidirect
202. #2341C22semidirect
203. #2341C22semidirect
204. #2341C22semidirect
205. #2341C22semidirect
206. #2341C22semidirect
210. #2339C22semidirect
211. #2339C22semidirect
212. #2339C22semidirect
213. #2339C22semidirect
218. #2328C22semidirect
219. #2326C22semidirect
220. #2324C22semidirect
221. #2323C22semidirect
222. #2311C22semidirect
223. #2311C22semidirect
225. C4×#123C22semidirect
227. C4×#121C22semidirect
228. C4×#121C22semidirect
231. #2297C22semidirect
232. #2297C22semidirect
234. #2290C22semidirect
238. #2276C22semidirect
278. #550D4semidirect
695. C22×Q8#41semidirect
1420. Q8#546semidirect
1584. C22#3517semidirect

Maximal subgroups

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

subgroupindex
C2×#35172
C22×#5502
#597702
#591242
#590972
#590282
#590152
#449352
#449302
#448952
#448892
#380892
#380332
#376942
#376622
#364552
#364352
#364332
#364292
#361572
#361232
#360492
#360292
#360052
#346702
#342952
#342942
#341752
C22⋊C4×#412