Finite Group Databasebeta

← #72315178

Subgroups — #72315178

Order 1024.

9807 conjugacy classes of subgroups.

The subgroup lattice has 1776 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10577624C211yesmaximal, characteristic, complemented
2C2×#62328C211yesmaximal, characteristic, complemented
3#7624893C218yesmaximal, complemented
4#7624888C218yesmaximal, complemented
5#7624873C214yesmaximal, complemented
6#7624867C218yesmaximal, complemented
7#7624860C212yesmaximal, complemented
8#7624857C212yesmaximal, complemented
9#7623815C214yesmaximal, complemented
10#7623725C214yesmaximal, complemented
11#7623714C214yesmaximal, complemented
12D4×#509C214yesmaximal, complemented
13#7623471C212yesmaximal, complemented
14#7623308C214yesmaximal, complemented
15#7623255C212yesmaximal, complemented
16#7622976C214yesmaximal, complemented
17#7622580C211yesmaximal, characteristic, complemented
18#62759—21no—
19C2×#3549—21no—
20C22×#509C2214yescomplemented
21C2×#3407C2212yescomplemented
22#62332C2212yescomplemented
23#62331—21no—
24#62330C2214yescomplemented
25#62329C2211yescharacteristic, complemented
26#62328—24no—
27#62328—21no—
28#62328—22no—
29#62328—21no—
30#62328C2212yes—
31#62328C2214yescomplemented
32#62328C2212yescomplemented
33#62328C2218yescomplemented
34#62328C2211yescharacteristic, complemented
35#62327—22no—
36#62326—21no—
37#62325C2214yescomplemented
38#62324C2214yescomplemented
39#62323—24no—
40#61234C2214yescomplemented
41C2×#3341C2214yescomplemented
42#61154—24no—
43C2×#3325—24no—
44D4×#135C2214yescomplemented
45C2×D4×D8C2214yescomplemented
46#60907—21no—
47C2×#3253—21no—
48#60749—22no—
49C2×#3199—22no—
50#60673C2212yescomplemented
51C2×#3169C2212yescomplemented
52#60450C2214yescomplemented
53C2×#3058C2214yescomplemented
54C2×#2931C2211yescharacteristic
55#33924C2218yescomplemented
56#33921C2218yescomplemented
57#33915C22116yescomplemented
58#33914C22116yescomplemented
59#33908C2218yescomplemented
60#33907C2218yescomplemented
61#33896C2218yescomplemented
62#33892C2218yescomplemented
63#33892C2218yescomplemented
64#33891C2218yescomplemented
65#33888C22116yescomplemented
66#33886C22116yescomplemented
67#33885C22116yescomplemented
68#33877C22116yescomplemented
69#33872C2218yescomplemented
70#33870C2218yescomplemented
71#33862C2218yescomplemented
72#33861C2218yescomplemented
73D4×SD32C2218yescomplemented
74D4×D16C2218yescomplemented
75#33840C2218yescomplemented
76#33838C2218yescomplemented
77#33831C22116yescomplemented
78#33830C22116yescomplemented
79#33820C2214yescomplemented
80#33819C2214yescomplemented
81#33817C2218yescomplemented
82#33813C2218yescomplemented
83#33812C2214yescomplemented
84#33811C2214yescomplemented
85#33766C2218yescomplemented
86#33766C2218yescomplemented
87#33765C2218yescomplemented
88#33765C2218yescomplemented
89#33764C22116yescomplemented
90#33764C22116yescomplemented
91#33751C2214yescomplemented
92#33748C2214yescomplemented
93#33746C2218yescomplemented
94#33737C2218yescomplemented
95#33736C2214yescomplemented
96#33733C2214yescomplemented
97#33731C2212yescomplemented
98#33717C2212yes—
99#33707C2212yescomplemented
100#33704C2212yescomplemented
101#33648C2218yescomplemented
102#33647C2218yescomplemented
103#33629C2214yescomplemented
104#33627C2214yescomplemented
105#33612C22116yescomplemented
106#33612C22116yescomplemented
107#33609C2218yescomplemented
108#33609C2218yescomplemented
109#33607C2218yescomplemented
110#33607C2218yescomplemented
111#33605C2218yescomplemented
112#33605C2218yescomplemented
113#33605C2214yescomplemented
114#33605C2218yescomplemented
115#33605C2214yescomplemented
116#33582C2214yescomplemented
117#33580C2214yescomplemented
118#33520C2218yescomplemented
119#33517C2218yescomplemented
120C4×#509C2214yescomplemented
121C4×#509C2214yescomplemented
122#33438C2218yescomplemented
123D4×M32C2214yescomplemented
124D4×M32C2214yescomplemented
125#33435C2214yescomplemented
126#33434C2212yescomplemented
127#33434C2212yescomplemented
128#33409C2214yescomplemented
129C2×#2150C2211yescharacteristic, complemented
130#33380C2214yescomplemented
131C2×#2140C2214yescomplemented
132#33333C2212yescomplemented
133C2×C4×M32C2211yescharacteristic, complemented
134C22×#135C2314yes—
135C23×D8C2314yes—
136C22×#131C2312yes—
137#3551—24no—
138#3550—21no—
139#3549—22no—
140#3549—28no—
141#3549—22no—
142#3549—24no—
143#3549—21no—
144#3549—44no—
145#3549—41no—
146#3549—41no—
147#3549—42no—
148#3548—22no—
149#3547—24no—
150#3546—24no—
151#3545—42no—
152#3544—41no—
153#3543—41no—
154#3542—44no—
155#3529—42no—
156C2×H(3,𝔽4)—42no—
157#3483—41no—
158#3481—41no—
159#3475—24no—
160C2×#555—24no—
161C2×#555—41no—
162D4×#41—24no—
163C2×D42—24no—
164C2×D42—41no—
165#3460—44no—
166#3449—24no—
167C2×#535—24no—
168C2×#535—44no—
169#3444—22no—
170C2×#532—22no—
171C2×#532D411yescharacteristic
172C2×#509—416no—
173C2×#509C2314yes—
174C2×#509C2318yes—
175C2×#509C2314yes—
176C2×#509C23116yescomplemented
177C22×SD32C2318yescomplemented
178C22×D16C2318yescomplemented
179#3407—48no—
180C2×#504C2314yescomplemented
181C2×#504C2318yescomplemented
182C2×#504C2314yescomplemented
183C22×M32C2311yescharacteristic
184C22×M32C2314yes—
185C22×M32C2311yescharacteristic
186C22×M32C2312yes—
187C22×M32C2314yes—
188#3342C2314yescomplemented
189#3341—24no—
190#3341—28no—
191#3341—24no—
192#3341C2318yes—
193#3341C23116yes—
194#3341C2318yes—
195#3341C2314yescomplemented
196#3340—24no—
197#3339C2318yescomplemented
198#3338C2314yescomplemented
199#3337—28no—
200#3336C2318yescomplemented
201#3335—24no—
202#3334C2314yescomplemented
203#3333—24no—
204#3332—24no—
205#3331—24no—
206#3330—24no—
207#3329—24no—
208#3328—24no—
209#3327—28no—
210#3326—28no—
211#3325—24no—
212#3325—28no—
213#3325—28no—
214#3325—28no—
215#3325—28no—
216#3325—216no—
217#3325—216no—
218#3324—24no—
219#3323—28no—
220#3322—28no—
221#3287C2314yescomplemented
222D4×Q16C2314yescomplemented
223#3285C2318yescomplemented
224#3284—24no—
225#3283C2314yescomplemented
226#3282—28no—
227D4×SD16—24no—
228#3280C2318yescomplemented
229D4×D8—24no—
230D4×D8—28no—
231D4×D8—24no—
232D4×D8C23116yes—
233D4×D8C2318yes—
234D4×D8C2318yes—
235D4×D8C2314yescomplemented
236#3256—24no—
237#3255—21no—
238#3254—22no—
239#3253—22no—
240#3253—28no—
241#3253—22no—
242#3253—24no—
243#3253—21no—
244#3252—24no—
245#3251—24no—
246#3204—24no—
247#3203—24no—
248#3202—22no—
249#3201—28no—
250#3200—24no—
251#3199—24no—
252#3199—216no—
253#3199—24no—
254#3199—24no—
255#3199—24no—
256#3199—22no—
257#3198—28no—
258#3170C2312yescomplemented
259#3170C2312yescomplemented
260#3169—22no—
261#3169—22no—
262#3169—22no—
263#3169—22no—
264#3169C2314yes—
265#3169C2314yes—
266#3169C2314yes—
267#3169C2314yes—
268#3169C2312yescomplemented
269#3169C2312yescomplemented
270#3168—22no—
271#3168—22no—
272#3168C2314yescomplemented
273#3168C2314yescomplemented
274#3167—22no—
275#3167—22no—
276#3160C2312yes—
277C2×#500C2312yes—
278#3147C2312yes—
279C2×#493C2312yes—
280#3131—22no—
281C2×#486—22no—
282#3091—28no—
283C2×#482—28no—
284#3076—24no—
285C2×#476—24no—
286#3061C2318yescomplemented
287#3061C2318yescomplemented
288#3060—24no—
289#3060—24no—
290#3059C2314yescomplemented
291#3059C2314yescomplemented
292#3058—24no—
293#3058—24no—
294#3058—24no—
295#3058—24no—
296#3058C2318yes—
297#3058C2318yes—
298#3058C2318yes—
299#3058C2318yes—
300#3058C2314yescomplemented
301#3058C2314yescomplemented
302#3057—24no—
303#3057—24no—
304#3054—24no—
305#3054—24no—
306C2×#469—24no—
307C2×#469—24no—
308#3050—22no—
309#3050C2314yes—
310#3050C2318yes—
311C2×#466—22no—
312C2×#466C2314yes—
313C2×#466C2318yes—
314#3035—24no—
315C2×#459—24no—
316#3002—28no—
317C2×#447—28no—
318C4×#135—22no—
319C4×#135C2314yes—
320C2×C4×D8—22no—
321C2×C4×D8C2314yes—
322#2931D414yes—
323#2931D411yescharacteristic
324#2931D412yes—
325#2931D411yescharacteristic
326#2931C2314yes—
327#2931C2311yescharacteristic
328#2931C2312yes—
329#2931C2311yescharacteristic
330C2×#436D414yes—
331C2×C8×D4C2314yes—
332C2×#427C2314yes—
333C2×#427C2314yes—
334C2×#423D411yescharacteristic
335#2896—24no—
336C2×#418—24no—
337C2×#408D412yes—
338C22×C4×C8C2311yescharacteristic
339#2255C2318yescomplemented
340#2254C2314yescomplemented
341#2252C2314yescomplemented
342#2250C2318yes—
343#2248C2314yes—
344#2246C2314yes—
345#2244C2318yes—
346#2243C2318yescomplemented
347#2241C2314yescomplemented
348#2240C2314yes—
349#2240C2314yes—
350#2240C2314yescomplemented
351#2237C23116yescomplemented
352#2237C23116yescomplemented
353#2234C23116yescomplemented
354#2234C23116yescomplemented
355#2234C23116yescomplemented
356#2234C23116yescomplemented
357#2233C23116yescomplemented
358#2232C23116yescomplemented
359#2228C23116yescomplemented
360#2227C2318yescomplemented
361#2226C2318yescomplemented
362#2226C2318yescomplemented
363#2225C2318yescomplemented
364#2224C2318yescomplemented
365#2224C2318yescomplemented
366#2220C23116yescomplemented
367#2220C23116yescomplemented
368#2220C2318yescomplemented
369#2220C23116yescomplemented
370#2220C2318yescomplemented
371#2218C23116yescomplemented
372#2218C23116yescomplemented
373#2218C2318yescomplemented
374#2218C23116yescomplemented
375#2218C2318yescomplemented
376#2217C23116yescomplemented
377#2217C23116yescomplemented
378#2217C23116yescomplemented
379#2217C2318yescomplemented
380#2217C2318yescomplemented
381#2215C23116yescomplemented
382#2215C23116yescomplemented
383#2215C23116yescomplemented
384#2215C2318yescomplemented
385#2215C2318yescomplemented
386#2210C23116yescomplemented
387#2208C2318yescomplemented
388#2207C2318yes—
389#2207C2318yes—
390#2206C2318yes—
391#2206C2318yes—
392#2206C2318yescomplemented
393#2187C23116yescomplemented
394#2187C23116yescomplemented
395#2186C23116yescomplemented
396#2186C23116yescomplemented
397#2185C23116yescomplemented
398#2184C23116yescomplemented
399#2184C23116yescomplemented
400#2184C23116yescomplemented
401#2177C2318yescomplemented
402#2177C2318yescomplemented
403#2175C2318yescomplemented
404#2175C2318yescomplemented
405C4×SD32C2318yescomplemented
406C4×SD32C2318yescomplemented
407C4×D16C2318yescomplemented
408C4×D16C2318yescomplemented
409#2169C2318yescomplemented
410#2169C2318yescomplemented
411#2168C23116yescomplemented
412#2168C23116yescomplemented
413D4×C16C2318yescomplemented
414D4×C16C2318yescomplemented
415#2159C2314yes—
416#2159C2318yes—
417#2159C2314yes—
418#2159C23116yescomplemented
419#2158C2318yescomplemented
420#2158C2318yescomplemented
421#2150C2314yes—
422#2150C2312yescomplemented
423#2150C2312yescomplemented
424C2×C4⋊C16C2314yescomplemented
425#2141C2318yescomplemented
426#2140C2318yes—
427#2140C2314yes—
428#2140C2314yes—
429#2140C2318yescomplemented
430#2140C2318yescomplemented
431#2140C2318yescomplemented
432#2139C2318yes—
433#2139C2314yes—
434#2139C2314yes—
435#2138C23116yescomplemented
436C2×#357C23116yescomplemented
437#2113C2314yescomplemented
438#2113C2314yescomplemented
439#2113C2318yescomplemented
440#2112C2318yes—
441C4×M32C2312yes—
442C4×M32C2312yes—
443C4×M32C2314yescomplemented
444C2×#346C2312yescomplemented
445C2×C4×C16C2312yescomplemented
446C22×#41—24no—
447C22×#41—42no—
448C22×#41C2×D412yes—
449C23×D4—24no—
450C23×D4—44no—
451C2×#135—22no—
452C2×#135—24no—
453C2×#135—24no—
454C2×#135—48no—
455C2×#135—48no—
456C2×#135C2414yes—
457C2×#135C2418yes—
458C22×Q16C2414yes—
459C22×SD16—24no—
460C22×D8—22no—
461C22×D8—24no—
462C22×D8—24no—
463C22×D8—24no—
464C22×D8—48no—
465C22×D8—48no—
466C22×D8C2414yes—
467C22×D8C2414yes—
468C22×D8C2418yes—
469C22×D8C2418yes—
470C2×#131—44no—
471C2×#131—44no—
472C2×#131C2×D412yes—
473C2×#131C2×D414yes—
474C2×#131C2×D412yes—
475C2×#131C2412yes—
476C2×#131C2414yes—
477C2×#131C2412yes—
478C22×M16C2×D412yes—
479C22×M16C2×D414yes—
480C23×C8C2×D411yescharacteristic
481C23×C8C2411yescharacteristic
482C23×C8C2414yes—
483#563—44no—
484#563—42no—
485#562—44no—
486#562—48no—
487H(3,𝔽4)—416no—
488H(3,𝔽4)—44no—
489H(3,𝔽4)—44no—
490H(3,𝔽4)—44no—
491H(3,𝔽4)—44no—
492H(3,𝔽4)—42no—
493#560—44no—
494#560—48no—
495#559—41no—
496Q82—41no—
497#556—24no—
498#555—24no—
499#555—28no—
500#555—216no—
501#555—28no—
502#555—48no—
503#555—42no—
504#555—42no—
505#555—44no—
506#555—41no—
507#555—44no—
508#555—44no—
509#555—44no—
510#555—44no—
511#555—48no—
512#554—24no—
513#554—42no—
514#553—28no—
515#553—44no—
516#552—28no—
517#552—44no—
518#551—44no—
519#551—48no—
520#550—24no—
521#550—42no—
522#550—44no—
523D4×Q8—24no—
524#548—28no—
525#547—24no—
526#547—24no—
527#547—44no—
528#546—28no—
529#546—44no—
530#546—44no—
531#546—48no—
532D42—28no—
533D42—216no—
534D42—28no—
535D42—24no—
536D42—44no—
537D42—48no—
538D42—42no—
539D42—42no—
540D42—44no—
541D42—41no—
542D42—44no—
543D42—44no—
544D42—48no—
545#544—44no—
546#542—44no—
547#542—48no—
548#542—44no—
549#540—44no—
550#540—44no—
551#540—48no—
552#538—48no—
553#538—48no—
554#537—28no—
555#537—28no—
556#537—44no—
557#536—24no—
558#536—24no—
559#536—44no—
560#535—28no—
561#535—28no—
562#535—28no—
563#535—28no—
564#535—24no—
565#535—24no—
566#535—44no—
567#535—44no—
568#535—44no—
569#535—44no—
570#535—44no—
571#535—44no—
572#535—48no—
573#535—48no—
574#535—416no—
575#535—48no—
576#535—48no—
577#535—416no—
578#535—44no—
579#534—44no—
580#534—44no—
581#533—22no—
582#533—22no—
583#533—22no—
584#532—22no—
585#532—22no—
586#532—24no—
587#532—24no—
588#532—24no—
589#532—24no—
590#532—22no—
591#532—44no—
592#532—44no—
593#532—44no—
594#532—42no—
595#532—42no—
596#532—42no—
597#532—42no—
598#532D814yes—
599#532D811yescharacteristic
600#532D811yescharacteristic
601#532D812yes—
602#532C2×D414yes—
603#532C2×D411yescharacteristic
604#532C2×D411yescharacteristic
605#532C2×D412yes—
606C2×C4⋊Q8—22no—
607C2×C4⋊Q8D811yescharacteristic
608C2×#127—22no—
609C2×#127—44no—
610C2×#127D811yescharacteristic
611#529—24no—
612#529—24no—
613#529—44no—
614#529—48no—
615#529—42no—
616#529—42no—
617#529—42no—
618#529—42no—
619C2×#124—44no—
620C2×#124—48no—
621C2×#124—42no—
622C2×#124D812yes—
623#525—28no—
624#525—24no—
625#525—44no—
626#525—44no—
627#525—42no—
628#525—42no—
629#525—48no—
630C2×#121—28no—
631C2×#121—24no—
632C2×#121—44no—
633C2×#121—42no—
634C2×#121—44no—
635C2×#121D814yes—
636C2×#120—44no—
637C2×#120—44no—
638C2×#120—48no—
639C4×#41—24no—
640C4×#41—44no—
641C4×#41—42no—
642C4×#41—42no—
643C2×C4×D4—24no—
644C2×C4×D4—44no—
645C2×C4×D4—42no—
646C2×C4×D4C2×D414yes—
647C2×#117—24no—
648C2×#117—24no—
649C2×#117—44no—
650C22×C42C2×D411yescharacteristic
651#509—216no—
652#509—432no—
653#509—416no—
654#509—48no—
655C2×SD32—416no—
656C2×SD32C2418yes—
657C2×SD32C24116yes—
658C2×SD32C2418yes—
659C2×D16—416no—
660C2×D16C2418yes—
661C2×D16C24116yes—
662C2×D16C2418yes—
663#504—48no—
664#504—48no—
665#504—416no—
666C2×M32—24no—
667C2×M32—216no—
668C2×M32—42no—
669C2×M32—48no—
670C2×M32—44no—
671C2×M32C2412yes—
672C2×M32C2411yescharacteristic
673C2×M32C2412yes—
674C2×M32C2414yes—
675C2×M32C2418yes—
676C2×M32C2412yes—
677C2×M32C2414yes—
678C2×M32C2418yes—
679C2×M32C2411yescharacteristic
680C22×C16C2412yes—
681C22×C16C2418yes—
682C22×C16C2412yes—
683C22×C16C2414yes—
684C22×C16C2418yes—
685#500—22no—
686#500—22no—
687#500C2412yes—
688#500C2412yes—
689#500C2414yes—
690#500C2414yes—
691#499—22no—
692#499C2414yes—
693#498—22no—
694#495—22no—
695#495C2414yes—
696#494C2412yes—
697#493—22no—
698#493—22no—
699#493C2414yes—
700#493C2414yes—
701#493C2412yes—
702#492—22no—
703#488—24no—
704#488—24no—
705#487—22no—
706#487—22no—
707#486—22no—
708#486—22no—
709#486—24no—
710#486—24no—
711#486—24no—
712#486—24no—
713#485—28no—
714#485—28no—
715#484—28no—
716#483—28no—
717#482—28no—
718#482—28no—
719#482—216no—
720#482—216no—
721#482—216no—
722#482—216no—
723#481—28no—
724#480—28no—
725#479—28no—
726#478—28no—
727#477—24no—
728#476—24no—
729#476—28no—
730#476—28no—
731#476—216no—
732#475—24no—
733#474—24no—
734#470—24no—
735#470—24no—
736#470—24no—
737#470—24no—
738#469—24no—
739#469—24no—
740#469—28no—
741#469—28no—
742#469—28no—
743#469—28no—
744#469—24no—
745#469—28no—
746#469—28no—
747#469—28no—
748#469—28no—
749#469—24no—
750#468—28no—
751#468—28no—
752#468—28no—
753#468—28no—
754#467—22no—
755#467—22no—
756#467C2418yes—
757#467C2418yes—
758#467C2414yes—
759#467C2414yes—
760#466—28no—
761#466—28no—
762#466—22no—
763#466—22no—
764#466—24no—
765#466—24no—
766#466—24no—
767#466—24no—
768#466—24no—
769#466—24no—
770#466C2418yes—
771#466C2418yes—
772#466C24116yes—
773#466C24116yes—
774#466C2414yes—
775#466C2414yes—
776#466C2418yes—
777#466C2418yes—
778#465—28no—
779#465—28no—
780#465—24no—
781#465—24no—
782#465—24no—
783#465—24no—
784#464—28no—
785#463—28no—
786#462—24no—
787#461—24no—
788#460—24no—
789#459—24no—
790#459—28no—
791#459—28no—
792#459—216no—
793#452—28no—
794#452—28no—
795#451—28no—
796#450—28no—
797#449—28no—
798#449—28no—
799#448—28no—
800#447—28no—
801#447—216no—
802#447—216no—
803#447—216no—
804#447—216no—
805C4×Q16—22no—
806C4×Q16—22no—
807C4×Q16C2414yes—
808C4×Q16C2414yes—
809C4×SD16—24no—
810C4×SD16—24no—
811C4×SD16—24no—
812C4×SD16—24no—
813C4×D8—22no—
814C4×D8—24no—
815C4×D8—24no—
816C4×D8—22no—
817C4×D8—24no—
818C4×D8—24no—
819C4×D8—24no—
820C4×D8—24no—
821C4×D8C2414yes—
822C4×D8C2414yes—
823C4×D8C2418yes—
824C4×D8C2418yes—
825#436C2×D414yes—
826#436C2×D414yes—
827#436C2×D414yes—
828#436C2×D414yes—
829#436C2×D418yes—
830#436C2×D418yes—
831C8×D4C2×D414yes—
832C8×D4C2×D418yes—
833C8×D4C2×D414yes—
834C8×D4C2414yes—
835C8×D4C2418yes—
836C8×D4C2414yes—
837#427—24no—
838#427—24no—
839#427—24no—
840#427—24no—
841#427—22no—
842#427C2414yes—
843#427C2414yes—
844#427C2418yes—
845#427C2418yes—
846#427C2414yes—
847C2×#107—22no—
848C2×#107C2418yes—
849C2×#107C2414yes—
850C2×#106—24no—
851C2×#106—24no—
852#423C2×D414yes—
853#423C2×D411yescharacteristic
854#423C2×D411yescharacteristic
855#423C2×D412yes—
856C2×C4⋊C8C2×D414yes—
857#419—24no—
858#419—24no—
859#418—28no—
860#418—28no—
861#418—28no—
862#418—28no—
863#418—24no—
864#418—24no—
865#417—28no—
866#417—28no—
867#416—28no—
868#416—24no—
869#416—24no—
870C2×#102—24no—
871C2×#102—28no—
872C2×#102—24no—
873#408C2×D418yes—
874#408C2×D412yes—
875#408C2×D412yes—
876#408C2×D412yes—
877#408C2×D412yes—
878C2×C22⋊C8C2×D418yes—
879C2×C4×C8C2×D412yes—
880C2×C4×C8C2×D411yescharacteristic
881C2×C4×C8C2×D412yes—
882C2×C4×C8C2×D411yescharacteristic
883C2×C4×C8C2411yescharacteristic
884C2×C4×C8C2411yescharacteristic
885C2×C4×C8C2412yes—
886C2×C4×C8C2412yes—
887#367C2418yes—
888#367C24116yes—
889#367C2418yes—
890#366C2418yes—
891#366C24116yes—
892#366C2418yes—
893C4⋊C16C2418yes—
894C4⋊C16C2418yes—
895#358C2418yes—
896#358C24116yes—
897#358C2418yes—
898#357C2418yes—
899#357C2418yes—
900#357C24116yes—
901#357C24116yes—
902#357C2418yes—
903#357C24116yes—
904#357C2418yes—
905#357C2418yes—
906#357C2418yes—
907C22⋊C16C24116yes—
908C22⋊C16C24116yes—
909#346C2414yes—
910#346C2414yes—
911C4×C16C2414yes—
912C4×C16C2414yes—
913C25—44no—
914C2×#41—24no—
915C2×#41—28no—
916C2×#41—44no—
917C2×#41—44no—
918C2×#41—44no—
919C2×#41—42no—
920C2×#41—42no—
921C2×#41—44no—
922C2×#41—44no—
923C2×#41—44no—
924C2×#41—44no—
925C2×#41—44no—
926C2×#41—44no—
927C2×#41—88no—
928C2×#41—88no—
929C2×#41—168no—
930C2×#41C2×D812yes—
931C2×#41C2×D814yes—
932C2×#41C2×D812yes—
933C2×#41C22×D412yes—
934C2×#41C22×D414yes—
935C2×#41C22×D412yes—
936C22×Q8—24no—
937C22×Q8—42no—
938C22×Q8C2×D812yes—
939C22×D4—24no—
940C22×D4—28no—
941C22×D4—28no—
942C22×D4—24no—
943C22×D4—48no—
944C22×D4—44no—
945C22×D4—44no—
946C22×D4—44no—
947C22×D4—48no—
948C22×D4—48no—
949C22×D4—416no—
950C22×D4—42no—
951C22×D4—42no—
952C22×D4—44no—
953C22×D4—44no—
954C22×D4—44no—
955C22×D4—88no—
956C22×D4—88no—
957C22×D4—1616no—
958C22×D4C2×D814yes—
959C22×D4C2×D812yes—
960C22×D4C2×D814yes—
961C23×C4—44no—
962C23×C4—44no—
963C23×C4C2×D812yes—
964C23×C4C22×D414yes—
965C23×C4C22×D411yescharacteristic
966#135—28no—
967#135—28no—
968#135—48no—
969#135—48no—
970#135—88no—
971#135—84no—
972#135—88no—
973C2×Q16—24no—
974C2×Q16—22no—
975C2×Q16—44no—
976C2×Q16—44no—
977C2×Q16C2514yes—
978C2×SD16—24no—
979C2×SD16—28no—
980C2×SD16—24no—
981C2×SD16—88no—
982C2×D8—24no—
983C2×D8—28no—
984C2×D8—28no—
985C2×D8—24no—
986C2×D8—24no—
987C2×D8—24no—
988C2×D8—22no—
989C2×D8—28no—
990C2×D8—28no—
991C2×D8—48no—
992C2×D8—48no—
993C2×D8—48no—
994C2×D8—48no—
995C2×D8—44no—
996C2×D8—44no—
997C2×D8—88no—
998C2×D8—88no—
999C2×D8—84no—
1000C2×D8—88no—
1001C2×D8C2518yes—
1002C2×D8C2514yes—
1003#131—44no—
1004#131—48no—
1005#131—44no—
1006#131—42no—
1007#131—42no—
1008#131—44no—
1009#131—42no—
1010#131—42no—
1011#131—44no—
1012C2×M16—48no—
1013C2×M16—44no—
1014C2×M16C22×D412yes—
1015C2×M16C22×D414yes—
1016C2×M16C22×D412yes—
1017C2×M16C22×D414yes—
1018C2×M16C22×D414yes—
1019C2×M16C22×D414yes—
1020C2×M16C22×D414yes—
1021C22×C8—22no—
1022C22×C8—28no—
1023C22×C8—22no—
1024C22×C8—28no—
1025C22×C8—42no—
1026C22×C8C22×D412yes—
1027C22×C8C22×D411yescharacteristic
1028C22×C8C22×D414yes—
1029C22×C8C22×D411yescharacteristic
1030C22×C8C22×D411yescharacteristic
1031C22×C8C22×D414yes—
1032C22×C8C22×D414yes—
1033C22×C8C22×D411yescharacteristic
1034C22×C8C22×D412yes—
1035C22×C8C22×D411yescharacteristic
1036C22×C8C2511yescharacteristic
1037C22×C8C2511yescharacteristic
1038C22×C8C2514yes—
1039C22×C8C2514yes—
1040C22×C8C2511yescharacteristic
1041C4⋊Q8—24no—
1042C4⋊Q8—24no—
1043C4⋊Q8—22no—
1044C4⋊Q8—22no—
1045C4⋊Q8—22no—
1046C4⋊Q8—44no—
1047C4⋊Q8—44no—
1048C4⋊Q8—44no—
1049C4⋊Q8—42no—
1050C4⋊Q8—42no—
1051C4⋊Q8C2×D814yes—
1052C4⋊Q8C2×D811yescharacteristic
1053C4⋊Q8C2×D811yescharacteristic
1054C4⋊Q8C2×D812yes—
1055#127—24no—
1056#127—24no—
1057#127—22no—
1058#127—48no—
1059#127—48no—
1060#127—48no—
1061#127—48no—
1062#127—44no—
1063#127—44no—
1064#127—44no—
1065#127—42no—
1066#127—42no—
1067#127C2×D814yes—
1068#127C2×D811yescharacteristic
1069#127C2×D811yescharacteristic
1070#127C2×D812yes—
1071#126—48no—
1072#126—48no—
1073#126—48no—
1074#126—44no—
1075#126—44no—
1076#125—24no—
1077#125—48no—
1078#125—44no—
1079#125—42no—
1080#125—42no—
1081#124—24no—
1082#124—48no—
1083#124—48no—
1084#124—48no—
1085#124—48no—
1086#124—44no—
1087#124—44no—
1088#124—44no—
1089#124—44no—
1090#124—44no—
1091#124—416no—
1092#124—416no—
1093#124—416no—
1094#124—416no—
1095#124—48no—
1096#124—48no—
1097#124—44no—
1098#124—44no—
1099#124—44no—
1100#124—44no—
1101#124—42no—
1102#124—42no—
1103#124C2×D818yes—
1104#124C2×D812yes—
1105#124C2×D812yes—
1106#124C2×D812yes—
1107#124C2×D812yes—
1108#123—44no—
1109#123—44no—
1110#123—44no—
1111#123—44no—
1112#123—48no—
1113#123—44no—
1114#123—48no—
1115#123—44no—
1116#123—44no—
1117#123—48no—
1118#123—48no—
1119#123—48no—
1120#123—48no—
1121C22⋊Q8—24no—
1122C22⋊Q8—24no—
1123C22⋊Q8—28no—
1124C22⋊Q8—28no—
1125C22⋊Q8—48no—
1126C22⋊Q8—48no—
1127C22⋊Q8—42no—
1128C22⋊Q8—42no—
1129C22⋊Q8—42no—
1130C22⋊Q8—42no—
1131C22⋊Q8—48no—
1132C22⋊Q8—44no—
1133C22⋊Q8—48no—
1134C22⋊Q8—48no—
1135#121—28no—
1136#121—28no—
1137#121—216no—
1138#121—216no—
1139#121—24no—
1140#121—24no—
1141#121—28no—
1142#121—28no—
1143#121—48no—
1144#121—48no—
1145#121—416no—
1146#121—48no—
1147#121—48no—
1148#121—48no—
1149#121—44no—
1150#121—48no—
1151#121—48no—
1152#121—48no—
1153#121—48no—
1154#121—48no—
1155#121—44no—
1156#121—44no—
1157#121—44no—
1158#121—48no—
1159#121—48no—
1160#121—44no—
1161#121—44no—
1162#121—44no—
1163#121—44no—
1164#121—42no—
1165#121—42no—
1166#121—42no—
1167#121—42no—
1168#121—48no—
1169#121—48no—
1170#121—416no—
1171#121—44no—
1172#121—48no—
1173#121—48no—
1174#121C2×D814yes—
1175#121C2×D814yes—
1176#121C2×D818yes—
1177#121C2×D814yes—
1178#121C2×D814yes—
1179#121C2×D818yes—
1180#120—44no—
1181#120—48no—
1182#120—48no—
1183#120—48no—
1184#120—48no—
1185#120—48no—
1186#120—48no—
1187#120—48no—
1188#120—48no—
1189#120—48no—
1190#120—44no—
1191#120—44no—
1192#120—44no—
1193#120—44no—
1194#120—48no—
1195#120—416no—
1196#120—416no—
1197#120—416no—
1198#120—416no—
1199#120—48no—
1200C4×Q8—24no—
1201C4×Q8—24no—
1202C4×Q8—44no—
1203C4×Q8—42no—
1204C4×Q8—42no—
1205C4×Q8—42no—
1206C4×Q8—42no—
1207C4×D4—28no—
1208C4×D4—28no—
1209C4×D4—24no—
1210C4×D4—24no—
1211C4×D4—44no—
1212C4×D4—44no—
1213C4×D4—48no—
1214C4×D4—44no—
1215C4×D4—44no—
1216C4×D4—48no—
1217C4×D4—44no—
1218C4×D4—44no—
1219C4×D4—44no—
1220C4×D4—44no—
1221C4×D4—44no—
1222C4×D4—48no—
1223C4×D4—48no—
1224C4×D4—44no—
1225C4×D4—44no—
1226C4×D4—42no—
1227C4×D4—44no—
1228C4×D4—44no—
1229C4×D4—44no—
1230C4×D4—44no—
1231C4×D4—42no—
1232C4×D4—42no—
1233C4×D4—42no—
1234C4×D4C2×D814yes—
1235C4×D4C2×D814yes—
1236C4×D4C2×D818yes—
1237C4×D4C22×D414yes—
1238C4×D4C22×D418yes—
1239C4×D4C22×D414yes—
1240#117—24no—
1241#117—28no—
1242#117—28no—
1243#117—24no—
1244#117—24no—
1245#117—44no—
1246#117—44no—
1247#117—44no—
1248#117—44no—
1249#117—42no—
1250#117—42no—
1251#117—48no—
1252#117—48no—
1253#117—416no—
1254#117—44no—
1255#117—48no—
1256#117—44no—
1257#117—44no—
1258#117—44no—
1259C2×C4⋊C4—24no—
1260C2×C4⋊C4—28no—
1261C2×C4⋊C4—42no—
1262C2×C4⋊C4—44no—
1263C2×C4⋊C4C2×D814yes—
1264C2×C22⋊C4—44no—
1265C2×C22⋊C4—44no—
1266C2×C22⋊C4—48no—
1267C2×C22⋊C4—44no—
1268C2×C22⋊C4—44no—
1269C2×C22⋊C4—48no—
1270C2×C22⋊C4C2×D818yes—
1271C2×C42—44no—
1272C2×C42—44no—
1273C2×C42—44no—
1274C2×C42C2×D811yescharacteristic
1275C2×C42C2×D811yescharacteristic
1276C2×C42C2×D812yes—
1277C2×C42C2×D811yescharacteristic
1278C2×C42C2×D811yescharacteristic
1279C2×C42C22×D412yes—
1280C2×C42C22×D411yescharacteristic
1281C2×C42C22×D412yes—
1282C2×C42C22×D411yescharacteristic
1283SD32—216no—
1284SD32—416no—
1285SD32—48no—
1286D16—216no—
1287D16—416no—
1288D16—48no—
1289M32—22no—
1290M32—28no—
1291M32—24no—
1292M32—24no—
1293M32—216no—
1294M32—42no—
1295M32—48no—
1296M32—44no—
1297M32H(5,𝔽2)14yes—
1298C2×C16—24no—
1299C2×C16—216no—
1300C2×C16—42no—
1301C2×C16—48no—
1302C2×C16—44no—
1303C2×C16C2514yes—
1304C2×C16C2512yes—
1305C2×C16C2518yes—
1306C2×C16C2512yes—
1307#107—24no—
1308#107—24no—
1309#107—24no—
1310#107—28no—
1311#107—22no—
1312#107—22no—
1313#107C2514yes—
1314#107C2514yes—
1315#107C2518yes—
1316#106—24no—
1317#106—28no—
1318#106—28no—
1319#106—24no—
1320#106—24no—
1321#106—24no—
1322C4⋊C8C22×D414yes—
1323C4⋊C8C22×D414yes—
1324C4⋊C8C22×D418yes—
1325#103—24no—
1326#103—24no—
1327#103—28no—
1328#103—28no—
1329#103—24no—
1330#103—24no—
1331#102—28no—
1332#102—28no—
1333#102—216no—
1334#102—216no—
1335#102—28no—
1336#102—28no—
1337#102—24no—
1338#102—24no—
1339#102—28no—
1340#102—28no—
1341#102—24no—
1342#102—24no—
1343C22⋊C8C22×D418yes—
1344C22⋊C8C22×D418yes—
1345C22⋊C8C22×D418yes—
1346C22⋊C8C22×D418yes—
1347C4×C8C22×D412yes—
1348C4×C8C22×D412yes—
1349C4×C8C22×D412yes—
1350C4×C8C22×D412yes—
1351C4×C8C22×D412yes—
1352C4×C8C22×D412yes—
1353C4×C8C2512yes—
1354C4×C8C2512yes—
1355C24—44no—
1356C24—44no—
1357C24—48no—
1358C24—48no—
1359C24—168no—
1360C24—1616no—
1361C24C22×D814yes—
1362C24C22×D811yescharacteristic
1363#41—42no—
1364#41—44no—
1365#41—42no—
1366#41—44no—
1367#41—48no—
1368#41—44no—
1369#41—42no—
1370#41—44no—
1371#41—42no—
1372#41—48no—
1373#41—48no—
1374#41—88no—
1375#41—88no—
1376#41—164no—
1377#41—168no—
1378#41—168no—
1379#41—168no—
1380#41—168no—
1381#41—164no—
1382#41—168no—
1383#41—168no—
1384#41—168no—
1385C2×Q8—24no—
1386C2×Q8—44no—
1387C2×Q8—42no—
1388C2×Q8—42no—
1389C2×Q8—44no—
1390C2×Q8—44no—
1391C2×Q8—44no—
1392C2×Q8—84no—
1393C2×Q8—84no—
1394C2×Q8—164no—
1395C2×Q8C22×D812yes—
1396C2×Q8C22×D814yes—
1397C2×Q8C22×D812yes—
1398C2×D4—24no—
1399C2×D4—28no—
1400C2×D4—48no—
1401C2×D4—44no—
1402C2×D4—48no—
1403C2×D4—44no—
1404C2×D4—48no—
1405C2×D4—48no—
1406C2×D4—44no—
1407C2×D4—44no—
1408C2×D4—416no—
1409C2×D4—416no—
1410C2×D4—48no—
1411C2×D4—48no—
1412C2×D4—48no—
1413C2×D4—48no—
1414C2×D4—48no—
1415C2×D4—42no—
1416C2×D4—44no—
1417C2×D4—44no—
1418C2×D4—44no—
1419C2×D4—42no—
1420C2×D4—44no—
1421C2×D4—44no—
1422C2×D4—48no—
1423C2×D4—48no—
1424C2×D4—44no—
1425C2×D4—88no—
1426C2×D4—88no—
1427C2×D4—84no—
1428C2×D4—88no—
1429C2×D4—88no—
1430C2×D4—84no—
1431C2×D4—88no—
1432C2×D4—168no—
1433C2×D4—168no—
1434C2×D4—168no—
1435C2×D4—164no—
1436C2×D4—168no—
1437C2×D4—1616no—
1438C2×D4—1616no—
1439C2×D4—1632no—
1440C2×D4—1616no—
1441C2×D4—168no—
1442C2×D4—168no—
1443C2×D4C22×D814yes—
1444C2×D4C22×D814yes—
1445C2×D4C22×D818yes—
1446C2×D4C22×D812yes—
1447C2×D4C22×D814yes—
1448C2×D4C22×D812yes—
1449C2×D4C22×D814yes—
1450C2×D4C22×D814yes—
1451C2×D4C22×D814yes—
1452C2×D4C22×D814yes—
1453C22×C4—22no—
1454C22×C4—28no—
1455C22×C4—22no—
1456C22×C4—28no—
1457C22×C4—44no—
1458C22×C4—44no—
1459C22×C4—48no—
1460C22×C4—44no—
1461C22×C4—44no—
1462C22×C4—44no—
1463C22×C4—48no—
1464C22×C4—48no—
1465C22×C4—44no—
1466C22×C4—48no—
1467C22×C4—816no—
1468C22×C4—168no—
1469C22×C4C22×D814yes—
1470C22×C4C22×D814yes—
1471C22×C4C22×D811yescharacteristic
1472C22×C4C22×D811yescharacteristic
1473C22×C4C22×D811yescharacteristic
1474C22×C4C22×D812yes—
1475C22×C4C22×D812yes—
1476C22×C4C22×D812yes—
1477C22×C4C22×D814yes—
1478C22×C4C22×D812yes—
1479C22×C4C22×D812yes—
1480C22×C4C22×D812yes—
1481C22×C4C23×D414yes—
1482C22×C4C23×D414yes—
1483C22×C4C23×D411yescharacteristic
1484C22×C4C23×D411yescharacteristic
1485C22×C4C23×D411yescharacteristic
1486Q16—24no—
1487Q16—24no—
1488Q16—84no—
1489Q16—82no—
1490SD16—48no—
1491SD16—88no—
1492SD16—84no—
1493D8—24no—
1494D8—28no—
1495D8—24no—
1496D8—28no—
1497D8—48no—
1498D8—88no—
1499D8—88no—
1500D8—84no—
1501D8—84no—
1502D8—84no—
1503D8—82no—
1504M16—44no—
1505M16—44no—
1506M16—44no—
1507M16—44no—
1508M16—42no—
1509M16—44no—
1510M16—42no—
1511C2×C8—24no—
1512C2×C8—22no—
1513C2×C8—28no—
1514C2×C8—21no—
1515C2×C8—24no—
1516C2×C8—21no—
1517C2×C8—24no—
1518C2×C8—21no—
1519C2×C8—21no—
1520C2×C8—24no—
1521C2×C8—24no—
1522C2×C8—22no—
1523C2×C8—22no—
1524C2×C8—28no—
1525C2×C8—28no—
1526C2×C8—41no—
1527C2×C8—42no—
1528C2×C8—41no—
1529C2×C8C23×D411yescharacteristic
1530C2×C8C23×D411yescharacteristic
1531C2×C8C23×D412yes—
1532C2×C8C23×D412yes—
1533C2×C8C23×D414yes—
1534C2×C8C23×D414yes—
1535C2×C8C23×D411yescharacteristic
1536C2×C8C2×H(5,𝔽2)12yes—
1537C2×C8#58512yes—
1538C2×C8C2611yescharacteristic
1539C4⋊C4—28no—
1540C4⋊C4—24no—
1541C4⋊C4—24no—
1542C4⋊C4—44no—
1543C4⋊C4—48no—
1544C4⋊C4—42no—
1545C4⋊C4—44no—
1546C4⋊C4—44no—
1547C4⋊C4—48no—
1548C4⋊C4—42no—
1549C4⋊C4—44no—
1550C4⋊C4—44no—
1551C4⋊C4—44no—
1552C4⋊C4—48no—
1553C4⋊C4—44no—
1554C4⋊C4—44no—
1555C4⋊C4—44no—
1556C4⋊C4—42no—
1557C4⋊C4—42no—
1558C4⋊C4C22×D814yes—
1559C4⋊C4C22×D814yes—
1560C4⋊C4C22×D818yes—
1561C22⋊C4—44no—
1562C22⋊C4—48no—
1563C22⋊C4—48no—
1564C22⋊C4—44no—
1565C22⋊C4—44no—
1566C22⋊C4—48no—
1567C22⋊C4—48no—
1568C22⋊C4—44no—
1569C22⋊C4—44no—
1570C22⋊C4—44no—
1571C22⋊C4—416no—
1572C22⋊C4—416no—
1573C22⋊C4—48no—
1574C22⋊C4—48no—
1575C22⋊C4—48no—
1576C22⋊C4—48no—
1577C22⋊C4—48no—
1578C22⋊C4—44no—
1579C22⋊C4—44no—
1580C22⋊C4—48no—
1581C22⋊C4—44no—
1582C22⋊C4—44no—
1583C22⋊C4—44no—
1584C22⋊C4C22×D818yes—
1585C22⋊C4C22×D818yes—
1586C22⋊C4C22×D818yes—
1587C22⋊C4C22×D818yes—
1588C42—44no—
1589C42—48no—
1590C42—48no—
1591C42—44no—
1592C42—44no—
1593C42—44no—
1594C42—44no—
1595C42C22×D812yes—
1596C42C22×D811yescharacteristic
1597C42C22×D812yes—
1598C42C22×D812yes—
1599C42C22×D811yescharacteristic
1600C42C22×D811yescharacteristic
1601C42C22×D812yes—
1602C42C22×D811yescharacteristic
1603C42C23×D412yes—
1604C42C23×D412yes—
1605C16—22no—
1606C16—28no—
1607C16—24no—
1608C16C2×H(5,𝔽2)14yes—
1609C23—22no—
1610C23—28no—
1611C23—42no—
1612C23—48no—
1613C23—44no—
1614C23—48no—
1615C23—88no—
1616C23—88no—
1617C23—88no—
1618C23—164no—
1619C23—168no—
1620C23—168no—
1621C23—1616no—
1622C23—1616no—
1623C23—168no—
1624C23—3232no—
1625C23C23×D814yes—
1626C23C23×D814yes—
1627C23C23×D811yescharacteristic
1628C23C23×D811yescharacteristic
1629C23C23×D811yescharacteristic
1630Q8—42no—
1631Q8—44no—
1632Q8—42no—
1633Q8—44no—
1634Q8—44no—
1635Q8—84no—
1636Q8—164no—
1637Q8—164no—
1638Q8—164no—
1639Q8—162no—
1640D4—28no—
1641D4—28no—
1642D4—48no—
1643D4—44no—
1644D4—44no—
1645D4—42no—
1646D4—44no—
1647D4—42no—
1648D4—44no—
1649D4—44no—
1650D4—48no—
1651D4—44no—
1652D4—48no—
1653D4—44no—
1654D4—88no—
1655D4—88no—
1656D4—88no—
1657D4—88no—
1658D4—84no—
1659D4—168no—
1660D4—168no—
1661D4—164no—
1662D4—164no—
1663D4—164no—
1664D4—162no—
1665D4—168no—
1666D4—1616no—
1667D4—1616no—
1668D4—168no—
1669D4—168no—
1670D4—168no—
1671D4—164no—
1672D4—164no—
1673D4—168no—
1674C2×C4—22no—
1675C2×C4—28no—
1676C2×C4—28no—
1677C2×C4—28no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—24no—
1683C2×C4—24no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—24no—
1687C2×C4—24no—
1688C2×C4—24no—
1689C2×C4—24no—
1690C2×C4—24no—
1691C2×C4—42no—
1692C2×C4—42no—
1693C2×C4—42no—
1694C2×C4—48no—
1695C2×C4—44no—
1696C2×C4—44no—
1697C2×C4—44no—
1698C2×C4—816no—
1699C2×C4—88no—
1700C2×C4—88no—
1701C2×C4—816no—
1702C2×C4—88no—
1703C2×C4—168no—
1704C2×C4—164no—
1705C2×C4—164no—
1706C2×C4—168no—
1707C2×C4#349612yes—
1708C2×C4C23×D814yes—
1709C2×C4C23×D812yes—
1710C2×C4C23×D814yes—
1711C2×C4C23×D811yescharacteristic
1712C2×C4C23×D811yescharacteristic
1713C2×C4C23×D812yes—
1714C2×C4C23×D812yes—
1715C2×C4C23×D811yescharacteristic
1716C2×C4C23×D812yes—
1717C2×C4#358412yes—
1718C2×C4C24×D411yescharacteristic
1719C8—21no—
1720C8—21no—
1721C8—24no—
1722C8—24no—
1723C8—22no—
1724C8—22no—
1725C8#349612yes—
1726C8C22×H(5,𝔽2)11yescharacteristic
1727C8C2×#58511yescharacteristic
1728C22—22no—
1729C22—22no—
1730C22—22no—
1731C22—28no—
1732C22—28no—
1733C22—24no—
1734C22—21no—
1735C22—21no—
1736C22—24no—
1737C22—82no—
1738C22—88no—
1739C22—88no—
1740C22—84no—
1741C22—84no—
1742C22—88no—
1743C22—84no—
1744C22—88no—
1745C22—1616no—
1746C22—328no—
1747C22—3216no—
1748C22—3216no—
1749C22#6224512yes—
1750C22C24×D811yescharacteristic
1751C4—22no—
1752C4—22no—
1753C4—22no—
1754C4—24no—
1755C4—21no—
1756C4—21no—
1757C4—24no—
1758C4—88no—
1759C4—84no—
1760C4—84no—
1761C4—84no—
1762C4#6224512yes—
1763C4#6263614yes—
1764C4C2×#349611yescharacteristic
1765C4C2×#358411yescharacteristic
1766C2—22no—
1767C2—41no—
1768C2—41no—
1769C2—44no—
1770C2—44no—
1771C2—168no—
1772C2—164no—
1773C2C2×#6224511yescharacteristic
1774C2C2×#6263612yes—
subgroupG/H
center, socleC22C24×D8
commutator, Frattini, cosocleC2×C8C26
LCSG ▷ C2×C8 ▷ C4 ▷ C2 ▷ C1
UCSC1 ◁ C22 ◁ C2×#532 ◁ C2×#2931 ◁ G
LECSG ▷ C2×C8 ▷ C4 ▷ C2 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #10577624C2semidirect
2. C2×#62328C2semidirect
3. #7624893C2semidirect
4. #7624888C2semidirect
5. #7624873C2semidirect
6. #7624867C2semidirect
7. #7624860C2semidirect
8. #7624857C2semidirect
9. #7623815C2semidirect
10. #7623725C2semidirect
11. #7623714C2semidirect
12. D4×#509C2semidirect
13. #7623471C2semidirect
14. #7623308C2semidirect
15. #7623255C2semidirect
16. #7622976C2semidirect
17. #7622580C2semidirect
20. C22×#509C22semidirect
21. C2×#3407C22semidirect
22. #62332C22semidirect
24. #62330C22semidirect
25. #62329C22semidirect
31. #62328C22semidirect
32. #62328C22semidirect
33. #62328C22semidirect
34. #62328C22semidirect
37. #62325C22semidirect
38. #62324C22semidirect
40. #61234C22semidirect
41. C2×#3341C22semidirect
44. D4×#135C22semidirect
45. C2×D4×D8C22semidirect
50. #60673C22semidirect
51. C2×#3169C22semidirect
52. #60450C22semidirect
53. C2×#3058C22semidirect
55. #33924C22semidirect
56. #33921C22semidirect
57. #33915C22semidirect
58. #33914C22semidirect
59. #33908C22semidirect
60. #33907C22semidirect
61. #33896C22semidirect
62. #33892C22semidirect
63. #33892C22semidirect
64. #33891C22semidirect
65. #33888C22semidirect
66. #33886C22semidirect
67. #33885C22semidirect
68. #33877C22semidirect
69. #33872C22semidirect
70. #33870C22semidirect
71. #33862C22semidirect
72. #33861C22semidirect
73. D4×SD32C22semidirect
74. D4×D16C22semidirect
75. #33840C22semidirect
76. #33838C22semidirect
77. #33831C22semidirect
78. #33830C22semidirect
79. #33820C22semidirect
80. #33819C22semidirect
81. #33817C22semidirect
82. #33813C22semidirect
83. #33812C22semidirect
84. #33811C22semidirect
85. #33766C22semidirect
86. #33766C22semidirect
87. #33765C22semidirect
88. #33765C22semidirect
89. #33764C22semidirect
90. #33764C22semidirect
91. #33751C22semidirect
92. #33748C22semidirect
93. #33746C22semidirect
94. #33737C22semidirect
95. #33736C22semidirect
96. #33733C22semidirect
97. #33731C22semidirect
99. #33707C22semidirect
100. #33704C22semidirect
101. #33648C22semidirect
102. #33647C22semidirect
103. #33629C22semidirect
104. #33627C22semidirect
105. #33612C22semidirect
106. #33612C22semidirect
107. #33609C22semidirect
108. #33609C22semidirect
109. #33607C22semidirect
110. #33607C22semidirect
111. #33605C22semidirect
112. #33605C22semidirect
113. #33605C22semidirect
114. #33605C22semidirect
115. #33605C22semidirect
116. #33582C22semidirect
117. #33580C22semidirect
118. #33520C22semidirect
119. #33517C22semidirect
120. C4×#509C22semidirect
121. C4×#509C22semidirect
122. #33438C22semidirect
123. D4×M32C22semidirect
124. D4×M32C22semidirect
125. #33435C22semidirect
126. #33434C22semidirect
127. #33434C22semidirect
128. #33409C22semidirect
129. C2×#2150C22semidirect
130. #33380C22semidirect
131. C2×#2140C22semidirect
132. #33333C22semidirect
133. C2×C4×M32C22semidirect
176. C2×#509C23semidirect
177. C22×SD32C23semidirect
178. C22×D16C23semidirect
180. C2×#504C23semidirect
181. C2×#504C23semidirect
182. C2×#504C23semidirect
188. #3342C23semidirect
195. #3341C23semidirect
197. #3339C23semidirect
198. #3338C23semidirect
200. #3336C23semidirect
202. #3334C23semidirect
221. #3287C23semidirect
222. D4×Q16C23semidirect
223. #3285C23semidirect
225. #3283C23semidirect
228. #3280C23semidirect
235. D4×D8C23semidirect
258. #3170C23semidirect
259. #3170C23semidirect
268. #3169C23semidirect
269. #3169C23semidirect
272. #3168C23semidirect
273. #3168C23semidirect
286. #3061C23semidirect
287. #3061C23semidirect
290. #3059C23semidirect
291. #3059C23semidirect
300. #3058C23semidirect
301. #3058C23semidirect
339. #2255C23semidirect
340. #2254C23semidirect
341. #2252C23semidirect
346. #2243C23semidirect
347. #2241C23semidirect
350. #2240C23semidirect
351. #2237C23semidirect
352. #2237C23semidirect
353. #2234C23semidirect
354. #2234C23semidirect
355. #2234C23semidirect
356. #2234C23semidirect
357. #2233C23semidirect
358. #2232C23semidirect
359. #2228C23semidirect
360. #2227C23semidirect
361. #2226C23semidirect
362. #2226C23semidirect
363. #2225C23semidirect
364. #2224C23semidirect
365. #2224C23semidirect
366. #2220C23semidirect
367. #2220C23semidirect
368. #2220C23semidirect
369. #2220C23semidirect
370. #2220C23semidirect
371. #2218C23semidirect
372. #2218C23semidirect
373. #2218C23semidirect
374. #2218C23semidirect
375. #2218C23semidirect
376. #2217C23semidirect
377. #2217C23semidirect
378. #2217C23semidirect
379. #2217C23semidirect
380. #2217C23semidirect
381. #2215C23semidirect
382. #2215C23semidirect
383. #2215C23semidirect
384. #2215C23semidirect
385. #2215C23semidirect
386. #2210C23semidirect
387. #2208C23semidirect
392. #2206C23semidirect
393. #2187C23semidirect
394. #2187C23semidirect
395. #2186C23semidirect
396. #2186C23semidirect
397. #2185C23semidirect
398. #2184C23semidirect
399. #2184C23semidirect
400. #2184C23semidirect
401. #2177C23semidirect
402. #2177C23semidirect
403. #2175C23semidirect
404. #2175C23semidirect
405. C4×SD32C23semidirect
406. C4×SD32C23semidirect
407. C4×D16C23semidirect
408. C4×D16C23semidirect
409. #2169C23semidirect
410. #2169C23semidirect
411. #2168C23semidirect
412. #2168C23semidirect
413. D4×C16C23semidirect
414. D4×C16C23semidirect
418. #2159C23semidirect
419. #2158C23semidirect
420. #2158C23semidirect
422. #2150C23semidirect
423. #2150C23semidirect
424. C2×C4⋊C16C23semidirect
425. #2141C23semidirect
429. #2140C23semidirect
430. #2140C23semidirect
431. #2140C23semidirect
435. #2138C23semidirect
436. C2×#357C23semidirect
437. #2113C23semidirect
438. #2113C23semidirect
439. #2113C23semidirect
443. C4×M32C23semidirect
444. C2×#346C23semidirect
445. C2×C4×C16C23semidirect

Maximal subgroups

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

subgroupindex
#105776242
C2×#623282
#76248932
#76248882
#76248732
#76248672
#76248602
#76248572
#76238152
#76237252
#76237142
D4×#5092
#76234712
#76233082
#76232552
#76229762
#76225802