Finite Group Databasebeta

← #72314691

Subgroups — #72314691

Order 1024.

19529 conjugacy classes of subgroups.

The subgroup lattice has 3247 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#61959C211yesmaximal, characteristic, complemented
2C23×#459C211yesmaximal, characteristic, complemented
3#7671946C211yesmaximal, characteristic, complemented
4#7629799C211yesmaximal, characteristic, complemented
5#7522135C214yesmaximal, complemented
6#7521519C214yesmaximal, complemented
7#7518832C214yesmaximal, complemented
8#7518308C214yesmaximal, complemented
9#6672692C214yesmaximal, complemented
10#6671588C214yesmaximal, complemented
11#6670292C214yesmaximal, complemented
12#6668804C214yesmaximal, complemented
13#6629271C211yesmaximal, characteristic, complemented
14#6576598C214yesmaximal, complemented
15#6575386C214yesmaximal, complemented
16#6574190C214yesmaximal, complemented
17#6573477C214yesmaximal, complemented
18#6520395C211yesmaximal, characteristic, complemented
19#6519605C211yesmaximal, characteristic, complemented
20#6513390C211yesmaximal, characteristic, complemented
21#6512747C211yesmaximal, characteristic, complemented
22#6491562C211yesmaximal, characteristic, complemented
23#6490982C211yesmaximal, characteristic, complemented
24#6487751C211yesmaximal, characteristic, complemented
25#6487420C211yesmaximal, characteristic, complemented
26#6388920C211yesmaximal, characteristic, complemented
27#6387961C211yesmaximal, characteristic, complemented
28C24×D8C2212yescomplemented
29C2×#3498C2211yescharacteristic, complemented
30C2×#3484—21no—
31C2×#3475C2211yescharacteristic, complemented
32C23×#127C2211yescharacteristic
33C23×C4×D4C2211yescharacteristic, complemented
34#61959—216no—
35C2×#3397C2212yescomplemented
36C2×#3366C2212yescomplemented
37C2×#3325C2212yescomplemented
38C2×#3310C2214yescomplemented
39C2×#3272C2212yescomplemented
40C2×#3264C2214yescomplemented
41C2×#3264C2218yescomplemented
42C2×#3251C2212yescomplemented
43C2×#3246C2211yescharacteristic, complemented
44C2×#3217C2212yescomplemented
45C2×#3208C2211yescharacteristic, complemented
46C2×#3208C2211yescharacteristic, complemented
47C2×#3115C2212yescomplemented
48C2×#3100C2211yescharacteristic, complemented
49C2×#3100C2211yescharacteristic, complemented
50C2×#3038C2212yescomplemented
51C22×#459—216no—
52C22×#459C2211yescharacteristic
53C22×#459C2211yescharacteristic
54C22×#459C2212yescomplemented
55C22×#459C2214yescomplemented
56C22×#459C2212yescomplemented
57C22×#459C2211yescharacteristic, complemented
58C22×#459C2214yescomplemented
59C22×#459C2214yescomplemented
60C22×#459C2211yescharacteristic, complemented
61C22×#459C2214yescomplemented
62C2×#2989C2211yescharacteristic, complemented
63C23×C4⋊C8C2211yescharacteristic, complemented
64C23×#102C2212yescomplemented
65#59126—22no—
66#59126C2214yescomplemented
67#59124—22no—
68#59124C2214yescomplemented
69#39336—22no—
70#39336C2214yescomplemented
71#37674—24no—
72#36625C2211yescharacteristic, complemented
73#36624C2211yescharacteristic
74#36614—21no—
75#36163C2212yescomplemented
76#36162C2212yescomplemented
77#36161C2212yescomplemented
78#36160C2212yescomplemented
79#36159—22no—
80#36158—22no—
81#36157—22no—
82#36156—22no—
83#36155C2212yescomplemented
84#36154C2212yescomplemented
85#36153C2212yescomplemented
86#36152C2212yescomplemented
87#36121C2214yescomplemented
88D4×#127C2214yescomplemented
89D4×#120—22no—
90D4×#120C2214yes—
91#35528—21no—
92#35527—21no—
93#35274C2211yescharacteristic, complemented
94#35272C2211yescharacteristic, complemented
95#35222—21no—
96#34946C2211yescharacteristic, complemented
97#34935C2211yescharacteristic, complemented
98#34809—21no—
99#34737—21no—
100#34700C2214yescomplemented
101#34670—24no—
102#34210C2211yescharacteristic, complemented
103C4×#546C2214yescomplemented
104D4×#117C2211yescharacteristic, complemented
105C4×#525C2211yescharacteristic
106C2×#2280—21no—
107#33160C2212yescomplemented
108#33024C2212yescomplemented
109#33002C2212yescomplemented
110#33002C2212yescomplemented
111#32978C2212yescomplemented
112#32953C2212yescomplemented
113#32953C2212yescomplemented
114#32929C2214yescomplemented
115#32904C2214yescomplemented
116#32902C2212yescomplemented
117#32902C2212yescomplemented
118#32881C2214yescomplemented
119#32878C2212yescomplemented
120#31222C2218yescomplemented
121#31172C2218yescomplemented
122#31000C2218yescomplemented
123#30890C2218yescomplemented
124#30855C2218yescomplemented
125#30749C2218yescomplemented
126#30605C2218yescomplemented
127#30460C2218yescomplemented
128#29824C2212yescomplemented
129#29794C2212yescomplemented
130#29774C2214yescomplemented
131#29662C2214yescomplemented
132#29625C2214yescomplemented
133#28472C2214yescomplemented
134#28448C2214yescomplemented
135#28413C2214yescomplemented
136#28383C2214yescomplemented
137#28344C2214yescomplemented
138#28253C2214yescomplemented
139#28158C2214yescomplemented
140#28107C2214yescomplemented
141#27264C2218yescomplemented
142#26954C2218yescomplemented
143#26612C2218yescomplemented
144#26178C2218yescomplemented
145#25960C2218yescomplemented
146#25930C2212yescomplemented
147#25855C2214yescomplemented
148#25788C2214yescomplemented
149#25788C2218yescomplemented
150#25754C2212yescomplemented
151#25717C2214yescomplemented
152#25628C2212yescomplemented
153#25572C2212yescomplemented
154#25392C2214yescomplemented
155#25380C2218yescomplemented
156#25367C2214yescomplemented
157#25321C2214yescomplemented
158#25300C2214yescomplemented
159#25174C2218yescomplemented
160#25128C2218yescomplemented
161#25097C2218yescomplemented
162#25080C2218yescomplemented
163#24873C2218yescomplemented
164#24838C2214yescomplemented
165#24836C2214yescomplemented
166#24758C2214yescomplemented
167#24753C2214yescomplemented
168#24751C2214yescomplemented
169#24744C2218yescomplemented
170#24726C2214yescomplemented
171#24658C2214yescomplemented
172#24626C2214yescomplemented
173#24527C2214yescomplemented
174#24476C2214yescomplemented
175#24432C2218yescomplemented
176#24372C2218yescomplemented
177#24355C2214yescomplemented
178#24355C2218yescomplemented
179#24354C2214yescomplemented
180#24354C2218yescomplemented
181#24272C2214yescomplemented
182#24272C2218yescomplemented
183#24236C2214yescomplemented
184#24211C2214yescomplemented
185#24211C2214yescomplemented
186#24208C2214yescomplemented
187#24184C2214yescomplemented
188#24150C2214yescomplemented
189#24032C2214yescomplemented
190#23966C2214yescomplemented
191#23851C2214yescomplemented
192#23851C2218yescomplemented
193#23848C2214yescomplemented
194#23848C2218yescomplemented
195#23099C2214yescomplemented
196#23001C2214yescomplemented
197#22989C2214yescomplemented
198#22956C2214yescomplemented
199#22854C2218yescomplemented
200#22750C2214yescomplemented
201#22648C2214yescomplemented
202#22562C2214yescomplemented
203#22436C2214yescomplemented
204#22436C2218yescomplemented
205#22423C2218yescomplemented
206#22151C2214yescomplemented
207#22069C2214yescomplemented
208#21972C2211yescharacteristic, complemented
209#21959C2211yescharacteristic, complemented
210#21885C2211yescharacteristic, complemented
211#21884C2211yescharacteristic, complemented
212#21847C2211yescharacteristic, complemented
213#21803C2211yescharacteristic, complemented
214#21803C2211yescharacteristic, complemented
215#21503C2214yescomplemented
216C4×#447C2214yescomplemented
217C4×#447C2214yescomplemented
218#21440C2214yescomplemented
219#20732C2211yescharacteristic, complemented
220#20732C2211yescharacteristic, complemented
221#20714C2211yescharacteristic, complemented
222#20547C2211yescharacteristic, complemented
223C22×H(5,𝔽2)—21no—
224C24×D4—21no—
225C24×D4—21no—
226C24×D4C2311yescharacteristic
227C24×D4C2312yes—
228C25×C4—21no—
229C22×AGL(1,ℤ/8)C2314yescomplemented
230C23×D8—216no—
231C23×D8—416no—
232C23×D8C2318yes—
233C23×D8C2312yes—
234C23×D8C2312yes—
235C23×D8C2318yes—
236C23×D8C2312yes—
237C23×D8C2312yes—
238C24×C8C2312yes—
239#3498—28no—
240#3498—44no—
241#3484—416no—
242#3475—28no—
243#3475—44no—
244C2×#556C2311yescharacteristic, complemented
245C2×#555C2311yescharacteristic, complemented
246C2×#554C2311yescharacteristic, complemented
247C2×#553—21no—
248C2×#552—21no—
249C2×#552C2312yes—
250C2×#551—22no—
251C2×#550—21no—
252C2×#550C2312yescomplemented
253C2×#547C2311yescharacteristic, complemented
254C2×#546—24no—
255C2×#546—24no—
256C2×#546C2314yes—
257C2×#546C2312yes—
258C2×D42—24no—
259C2×D42—24no—
260C2×D42—22no—
261C2×D42—21no—
262C2×D42—24no—
263C2×D42C2314yes—
264C2×D42C2318yes—
265C2×D42C2312yescomplemented
266C2×#535—21no—
267C2×#535—22no—
268C2×#535—21no—
269C2×#535—21no—
270C2×#535—21no—
271C2×#534—24no—
272C2×#533C2311yescharacteristic
273C2×#532C2311yescharacteristic
274C2×#532C2312yescomplemented
275C22×#127—28no—
276C22×#127—22no—
277C22×#127—21no—
278C22×#127—21no—
279C22×#127—22no—
280C22×#127—44no—
281C22×#127C2311yescharacteristic
282C22×#127C2314yes—
283C22×#127C2314yes—
284C22×#127C2312yes—
285C22×#127C2311yescharacteristic
286C22×#127C2312yescomplemented
287C2×#529—22no—
288C2×#529C2312yescomplemented
289C2×#525—21no—
290C2×#525—21no—
291C2×#525—21no—
292C2×#525D411yescharacteristic
293C22×#120—24no—
294C2×#518—21no—
295C2×C4×#41C2311yescharacteristic
296C2×C4×#41C2312yescomplemented
297C22×C4×D4—22no—
298C22×C4×D4—21no—
299C22×C4×D4—22no—
300C22×C4×D4—21no—
301C22×C4×D4—28no—
302C22×C4×D4—44no—
303C22×C4×D4C2311yescharacteristic
304C22×C4×D4C2312yes—
305C22×C4×D4C2311yescharacteristic
306C22×C4×D4C2312yes—
307C22×C4×D4C2311yescharacteristic
308C22×C4×D4C2312yes—
309C22×C4×D4C2312yes—
310C22×C4×D4C2311yescharacteristic
311C22×#117—21no—
312C22×#117—21no—
313C23×C4⋊C4C2311yescharacteristic
314C23×C22⋊C4—21no—
315C23×C42C2311yescharacteristic
316#3397—216no—
317#3366—216no—
318#3325—216no—
319#3310—232no—
320#3272—216no—
321#3264—232no—
322#3264—432no—
323#3251—216no—
324#3246—28no—
325#3217—216no—
326#3208—28no—
327#3208—44no—
328C2×#496C2314yescomplemented
329C2×#496C2318yescomplemented
330C2×#492C2312yescomplemented
331C2×#492C2312yescomplemented
332C2×#490C2314yescomplemented
333C2×#486C2312yescomplemented
334C2×#486C2312yescomplemented
335#3115—216no—
336#3100—28no—
337#3100—44no—
338C2×#482C2314yescomplemented
339C2×#480C2312yes—
340C2×#480C2312yes—
341C2×#475C2312yescomplemented
342C2×#478C2314yescomplemented
343C2×#476C2312yescomplemented
344C2×#474C2311yescharacteristic, complemented
345C2×#474C2311yescharacteristic, complemented
346C2×#474C2312yescomplemented
347C2×#469C2314yescomplemented
348C2×#469C2318yescomplemented
349C2×#468C2314yescomplemented
350C2×#465C2314yes—
351C2×#465C2318yes—
352#3038—216no—
353C2×#460C2312yescomplemented
354C2×#460C2314yescomplemented
355C2×#460C2312yescomplemented
356C2×#460C2312yescomplemented
357C2×#460C2314yescomplemented
358C2×#463C2314yescomplemented
359C2×#463C2318yescomplemented
360C2×#461C2312yescomplemented
361C2×#459—232no—
362C2×#459—232no—
363C2×#459—232no—
364C2×#459—232no—
365C2×#459—28no—
366C2×#459—216no—
367C2×#459—216no—
368C2×#459—28no—
369C2×#459—28no—
370C2×#459D4116yescomplemented
371C2×#459C2312yes—
372C2×#459C2318yes—
373C2×#459C2314yes—
374C2×#459C2318yes—
375C2×#459C2312yes—
376C2×#459C2314yes—
377C2×#459C2314yes—
378C2×#459C2318yes—
379C2×#459C2312yes—
380C2×#459C2314yes—
381C2×#459C2312yes—
382C2×#459C2318yes—
383C2×#459C2312yes—
384C2×#459C2312yes—
385C2×#459C2312yes—
386C2×#459C2312yes—
387C2×#459C2314yescomplemented
388C2×#459C2311yescharacteristic, complemented
389C2×#459C2311yescharacteristic, complemented
390C2×#459C2312yescomplemented
391C2×#459C2318yescomplemented
392C2×#449C2314yescomplemented
393C2×#449C2318yescomplemented
394C2×#450C2314yes—
395C2×#450C2318yes—
396C2×#450C2318yes—
397C2×#450C2314yes—
398C2×#450C2314yescomplemented
399C2×#447C2312yes—
400C2×#447C2314yes—
401C2×#447C2312yes—
402C2×#447C2314yes—
403C2×#447C2314yescomplemented
404C2×#447C2318yescomplemented
405#2989—28no—
406C2×#446C2312yescomplemented
407C2×#442C2314yescomplemented
408C2×#442C2318yescomplemented
409C2×#440C2314yescomplemented
410C2×C4×D8C2312yescomplemented
411C2×C4×D8C2312yescomplemented
412C2×C4×D8C2314yescomplemented
413C2×#436C2312yescomplemented
414C2×#435C2314yes—
415C2×#435C2318yes—
416C2×#432C2312yescomplemented
417C2×#431C2311yescharacteristic
418C2×#431C2311yescharacteristic
419C2×#423C2312yescomplemented
420C22×C4⋊C8—28no—
421C22×C4⋊C8C2314yes—
422C22×C4⋊C8C2314yes—
423C22×C4⋊C8C2312yes—
424C22×C4⋊C8C2311yescharacteristic
425C22×C4⋊C8C2311yescharacteristic
426C2×#418C2314yescomplemented
427C22×#102—216no—
428C22×#102C2318yes—
429C22×#102C2318yes—
430C22×#102C2312yes—
431C22×#102C2312yes—
432C22×#102C2312yes—
433C22×#102C2312yes—
434#2867C2312yescomplemented
435#2858C2312yescomplemented
436#2857C2312yes—
437#2857C2312yes—
438#2857C2312yes—
439#2856C2312yes—
440#2856C2314yescomplemented
441#2855—21no—
442#2855C2312yes—
443#2854—21no—
444#2854C2312yes—
445#2851—22no—
446#2850—22no—
447#2849—22no—
448#2849—22no—
449#2849—22no—
450#2848—21no—
451#2848—22no—
452#2848—22no—
453#2848C2312yes—
454#2847—21no—
455#2847—22no—
456#2847—22no—
457#2847C2312yes—
458#2846—24no—
459#2846—22no—
460#2673—28no—
461#2673—28no—
462#2669—28no—
463#2669—28no—
464#2657—22no—
465#2619—22no—
466#2613—24no—
467#2563C2312yescomplemented
468#2562—22no—
469#2561—22no—
470#2548—21no—
471#2548C2312yescomplemented
472#2547C2312yescomplemented
473#2544—24no—
474#2541—24no—
475#2541—24no—
476#2541—22no—
477#2541—21no—
478#2541C2318yescomplemented
479#2541C2314yescomplemented
480#2541C2312yescomplemented
481#2538C2312yescomplemented
482#2537C2312yescomplemented
483#2536—21no—
484#2535—21no—
485#2534—22no—
486#2503C2312yes—
487#2487—22no—
488#2486—22no—
489#2486C2312yes—
490#2485—22no—
491#2485—22no—
492#2484—22no—
493#2483—22no—
494#2482—22no—
495#2481—24no—
496#2480—24no—
497#2480—24no—
498#2473—24no—
499#2472—24no—
500#2468—24no—
501#2467—24no—
502#2466—24no—
503#2460—24no—
504#2459—24no—
505#2457—24no—
506#2454C2314yescomplemented
507#2450—24no—
508#2447C2314yescomplemented
509#2445—24no—
510#2445C2318yescomplemented
511#2444—24no—
512#2442C2314yes—
513#2437—24no—
514#2435—24no—
515#2435C2314yes—
516#2435C2312yes—
517#2433—24no—
518#2433—24no—
519#2433—24no—
520#2433—24no—
521#2433—24no—
522#2433—22no—
523#2433C2318yes—
524#2433C2314yes—
525#2433C2318yescomplemented
526#2431—24no—
527#2431—24no—
528#2428—24no—
529#2428—24no—
530#2428—24no—
531#2428C2318yescomplemented
532#2427C2314yescomplemented
533#2425—24no—
534#2420C2314yescomplemented
535#2419—24no—
536#2418—24no—
537#2417—22no—
538#2417C2314yes—
539#2416—22no—
540#2415—22no—
541#2414—22no—
542#2413—22no—
543#2412—24no—
544#2412—22no—
545#2411—22no—
546#2410—24no—
547#2410—22no—
548#2410—28no—
549#2410—28no—
550#2410—24no—
551#2410—24no—
552#2408—24no—
553#2408—24no—
554#2408—24no—
555#2408—22no—
556#2408C2318yes—
557#2408C2314yes—
558#2408C2312yes—
559#2408C2314yes—
560#2405—24no—
561#2405—22no—
562#2403—28no—
563#2403—28no—
564#2403—24no—
565#2403—24no—
566#2398—22no—
567#2395—24no—
568#2392—24no—
569#2392—22no—
570#2367C2314yescomplemented
571#2366—22no—
572#2366C2314yescomplemented
573#2364—24no—
574#2363C2314yescomplemented
575#2360C2314yes—
576#2359—24no—
577#2358—24no—
578#2354C2312yescomplemented
579#2352—22no—
580#2352C2314yes—
581#2349C2314yescomplemented
582D4×C4⋊C4C2312yescomplemented
583#2344C2312yes—
584#2342—24no—
585#2342—22no—
586#2339C2314yescomplemented
587D4×C22⋊C4—24no—
588D4×C22⋊C4—22no—
589D4×C22⋊C4C2318yes—
590D4×C22⋊C4C2314yes—
591D4×C22⋊C4C2314yes—
592D4×C22⋊C4C2312yes—
593#2328—22no—
594#2309—21no—
595#2309—21no—
596C4×#127C2314yescomplemented
597C4×#124C2314yescomplemented
598C4×C22⋊Q8—22no—
599C4×C22⋊Q8D412yes—
600C4×C22⋊Q8C2312yes—
601C4×C22⋊Q8C2314yes—
602C4×#123—24no—
603C4×#123D412yes—
604C4×#123C2312yes—
605C4×#121—22no—
606C4×#121—24no—
607C4×#121D412yes—
608C4×#121C2314yes—
609C4×#121C2312yes—
610C4×#121C2314yescomplemented
611C4×#120—24no—
612C4×#120—24no—
613C4×#120D412yes—
614C4×#120C2312yes—
615#2297—21no—
616#2297D411yescharacteristic
617#2296—21no—
618#2296D411yescharacteristic
619#2293C2312yescomplemented
620#2290—22no—
621#2290D414yes—
622#2285C2311yescharacteristic
623#2285C2311yescharacteristic
624#2280—22no—
625#2280—22no—
626#2280—22no—
627#2280—22no—
628#2280—24no—
629#2280—21no—
630#2280—21no—
631#2280—21no—
632#2280—21no—
633#2280—21no—
634#2280D411yescharacteristic
635C2×#381—22no—
636C2×#380—22no—
637C2×#380—22no—
638C2×#379—22no—
639C42×D4C2314yes—
640C42×D4C2312yescomplemented
641C4×#117C2311yescharacteristic
642C2×C4×C22⋊C4—24no—
643#2092C2318yescomplemented
644#2088C2318yescomplemented
645#2073C2318yescomplemented
646#2067C2318yescomplemented
647#2066C2318yescomplemented
648#2065C2318yescomplemented
649#2065C2318yescomplemented
650#2055C2318yescomplemented
651#2055C2318yescomplemented
652#2054C2318yescomplemented
653#2054C2318yescomplemented
654#2054C2318yescomplemented
655#2041C2318yescomplemented
656#2041C2318yescomplemented
657#2041C2318yescomplemented
658#2041C2318yescomplemented
659#2034C2318yescomplemented
660#2033C2318yescomplemented
661#2025C2318yescomplemented
662#2014C2318yescomplemented
663#2014C2318yescomplemented
664#2014C2318yescomplemented
665#2012C2318yescomplemented
666#2012C2318yescomplemented
667#2012C2318yescomplemented
668#2011C2318yescomplemented
669#2011C2318yescomplemented
670#2011C2318yescomplemented
671#2000C2318yescomplemented
672#1999C2318yescomplemented
673#1999C2318yescomplemented
674#1999C2318yescomplemented
675#1988C2312yescomplemented
676#1987C2312yescomplemented
677#1984C2312yescomplemented
678#1982C2312yescomplemented
679#1982C2318yescomplemented
680#1982C2314yescomplemented
681#1982C2312yescomplemented
682#1982C2312yescomplemented
683#1981C2312yescomplemented
684#1973C2318yescomplemented
685#1972C2318yescomplemented
686#1972C2318yescomplemented
687#1972C2318yescomplemented
688#1961C2318yescomplemented
689#1957C2314yescomplemented
690#1957C2314yescomplemented
691#1954C2312yescomplemented
692#1948C2314yescomplemented
693#1948C2314yescomplemented
694#1940C2318yescomplemented
695#1939C2314yescomplemented
696#1936C2318yescomplemented
697#1936C2318yescomplemented
698#1926C2318yescomplemented
699#1925C2318yescomplemented
700#1924C2318yescomplemented
701#1917C2318yescomplemented
702#1895C2318yescomplemented
703#1893C2318yes—
704#1893C2314yes—
705#1892C2318yes—
706#1892C2314yes—
707#1880C2318yescomplemented
708#1879C2318yescomplemented
709#1879C2314yescomplemented
710#1879C2314yescomplemented
711#1879C2318yescomplemented
712#1879C2318yescomplemented
713#1879C2318yescomplemented
714#1879C2318yescomplemented
715#1879C2318yescomplemented
716#1879C2314yescomplemented
717#1879C2314yescomplemented
718#1877C2318yescomplemented
719#1875C2318yescomplemented
720#1874C2314yes—
721#1874C2314yes—
722#1869C2318yes—
723#1869C2314yes—
724#1864C2318yescomplemented
725#1862C2314yescomplemented
726#1862C2318yescomplemented
727#1862C2314yescomplemented
728#1862C2314yescomplemented
729#1862C2314yescomplemented
730#1852C2314yes—
731#1852C2314yes—
732#1851C2318yescomplemented
733#1850C2314yes—
734#1850C2318yes—
735#1842C2312yescomplemented
736#1831C2312yescomplemented
737#1823C2312yes—
738#1823C2312yes—
739#1817C2312yes—
740#1807C2318yes—
741#1807C2314yes—
742#1804C2318yescomplemented
743#1803C2314yescomplemented
744#1802C2314yescomplemented
745#1802C2312yescomplemented
746#1802C2312yescomplemented
747#1802C2312yescomplemented
748#1802C2312yescomplemented
749#1797C2312yes—
750#1797C2312yes—
751#1797C2314yescomplemented
752#1786C2314yes—
753#1786C2314yes—
754#1786C2318yes—
755#1786C2314yes—
756#1786C2312yes—
757#1786C2318yes—
758#1786C2314yes—
759#1786C2312yes—
760#1786C2318yescomplemented
761#1779C2312yes—
762#1770C2314yescomplemented
763#1767C2314yescomplemented
764#1762C2318yescomplemented
765C4×#102C2314yescomplemented
766C4×#102C2312yescomplemented
767C4×#102C2312yescomplemented
768#1752C2314yes—
769#1752C2318yes—
770C4×C22⋊C8C2314yes—
771C26—21no—
772C26—22no—
773C2×H(5,𝔽2)—48no—
774C2×H(5,𝔽2)—48no—
775C2×H(5,𝔽2)—84no—
776C22×#41—22no—
777C22×#41—21no—
778C22×#41—22no—
779C22×#41C2×D411yescharacteristic
780C22×#41C2412yes—
781C23×D4—24no—
782C23×D4—28no—
783C23×D4—28no—
784C23×D4—24no—
785C23×D4—22no—
786C23×D4—28no—
787C23×D4—21no—
788C23×D4—21no—
789C23×D4—21no—
790C23×D4—22no—
791C23×D4—21no—
792C23×D4—24no—
793C23×D4—22no—
794C23×D4—24no—
795C23×D4—24no—
796C23×D4—22no—
797C23×D4—24no—
798C23×D4—22no—
799C23×D4—21no—
800C23×D4—24no—
801C23×D4—22no—
802C23×D4—22no—
803C23×D4—44no—
804C23×D4—42no—
805C23×D4—48no—
806C23×D4—48no—
807C23×D4—44no—
808C23×D4—48no—
809C23×D4—48no—
810C23×D4—48no—
811C23×D4—84no—
812C23×D4—88no—
813C23×D4C2411yescharacteristic
814C23×D4C2412yes—
815C23×D4C2418yes—
816C23×D4C2411yescharacteristic
817C23×D4C2412yes—
818C23×D4C2412yes—
819C23×D4C2414yes—
820C23×D4C2412yes—
821C24×C4—21no—
822C24×C4—21no—
823C24×C4—21no—
824C24×C4—22no—
825C24×C4—22no—
826C24×C4—21no—
827C24×C4—21no—
828C24×C4—22no—
829C24×C4—22no—
830C24×C4—48no—
831C24×C4—48no—
832C24×C4—84no—
833C24×C4C2×D411yescharacteristic
834C24×C4C2×D411yescharacteristic
835C24×C4C2411yescharacteristic
836C2×AGL(1,ℤ/8)—216no—
837C2×AGL(1,ℤ/8)—416no—
838C22×SD16C2414yes—
839C22×SD16C2414yes—
840C22×SD16C2414yes—
841C22×SD16C2418yes—
842C22×D8—28no—
843C22×D8—28no—
844C22×D8—232no—
845C22×D8—232no—
846C22×D8—232no—
847C22×D8—28no—
848C22×D8—416no—
849C22×D8—48no—
850C22×D8—416no—
851C22×D8—48no—
852C22×D8—416no—
853C22×D8—48no—
854C22×D8—48no—
855C22×D8—4128no—
856C22×D8C2×D4116yescomplemented
857C22×D8C2414yes—
858C22×D8C2412yes—
859C22×D8C2418yes—
860C22×D8C2418yes—
861C22×D8C2414yes—
862C22×D8C2414yes—
863C22×D8C2412yes—
864C22×D8C2414yes—
865C22×D8C2414yes—
866C22×M16C2414yes—
867C23×C8—28no—
868C23×C8—48no—
869C23×C8C2418yes—
870C23×C8C2412yes—
871C23×C8C2412yes—
872#556—24no—
873#556—42no—
874#555—24no—
875#555—42no—
876#554—24no—
877#554—42no—
878#553—48no—
879#552—28no—
880#552—44no—
881#552—48no—
882#551—416no—
883#550—28no—
884#550—44no—
885#550—48no—
886#547—24no—
887#547—42no—
888#546—28no—
889#546—216no—
890#546—48no—
891#546—44no—
892#546—432no—
893#546—432no—
894D42—216no—
895D42—28no—
896D42—44no—
897D42—48no—
898D42—48no—
899D42—416no—
900D42—432no—
901D42—416no—
902D42—416no—
903D42—432no—
904D42—816no—
905#535—416no—
906#535—48no—
907#535—48no—
908#535—48no—
909#535—84no—
910#534—432no—
911#533—24no—
912#533—24no—
913#532—28no—
914#532—24no—
915#532—24no—
916#532—44no—
917C2×C4⋊Q8C2411yescharacteristic
918C2×C4⋊Q8C2411yescharacteristic
919C2×C4⋊Q8C2411yescharacteristic
920C2×#127—28no—
921C2×#127—216no—
922C2×#127—216no—
923C2×#127—28no—
924C2×#127—22no—
925C2×#127—21no—
926C2×#127—21no—
927C2×#127—24no—
928C2×#127—22no—
929C2×#127—21no—
930C2×#127—24no—
931C2×#127—24no—
932C2×#127—24no—
933C2×#127—24no—
934C2×#127—24no—
935C2×#127—21no—
936C2×#127—22no—
937C2×#127—22no—
938C2×#127—22no—
939C2×#127—24no—
940C2×#127—24no—
941C2×#127—24no—
942C2×#127—48no—
943C2×#127—48no—
944C2×#127—44no—
945C2×#127—416no—
946C2×#127—416no—
947C2×#127—44no—
948C2×#127—48no—
949C2×#127—48no—
950C2×#127C2×D418yes—
951C2×#127C2411yescharacteristic
952C2×#127C2412yes—
953C2×#127C2412yes—
954C2×#127C2414yes—
955C2×#127C2418yes—
956C2×#127C2412yes—
957C2×#127C2412yes—
958C2×#127C2418yes—
959#529—28no—
960#529—44no—
961#529—416no—
962C2×#126—22no—
963C2×#126—22no—
964C2×#126—22no—
965C2×#125—22no—
966C2×#125—21no—
967C2×#125C2412yes—
968C2×#124—22no—
969C2×#124—22no—
970C2×#124—21no—
971C2×#124—22no—
972C2×#124—22no—
973C2×#124—22no—
974C2×#124C2414yes—
975C2×#124C2412yes—
976#525—28no—
977#525—48no—
978#525—48no—
979#525—84no—
980C2×#123—22no—
981C2×#123—22no—
982C2×#123—22no—
983C2×#123—22no—
984C2×#123—24no—
985C2×#123—22no—
986C2×#123—28no—
987C2×#123—22no—
988C2×#123C2×D412yes—
989C2×C22⋊Q8—21no—
990C2×C22⋊Q8—21no—
991C2×C22⋊Q8—21no—
992C2×C22⋊Q8—22no—
993C2×C22⋊Q8—22no—
994C2×C22⋊Q8—22no—
995C2×C22⋊Q8—22no—
996C2×C22⋊Q8C2×D412yes—
997C2×C22⋊Q8C2412yes—
998C2×C22⋊Q8C2414yes—
999C2×C22⋊Q8C2412yes—
1000C2×#121—21no—
1001C2×#121—21no—
1002C2×#121—21no—
1003C2×#121—22no—
1004C2×#121—22no—
1005C2×#121—24no—
1006C2×#121—22no—
1007C2×#121—22no—
1008C2×#121—24no—
1009C2×#121—22no—
1010C2×#121—22no—
1011C2×#121—24no—
1012C2×#121—24no—
1013C2×#121—28no—
1014C2×#121—24no—
1015C2×#121—24no—
1016C2×#121—28no—
1017C2×#121—28no—
1018C2×#121—24no—
1019C2×#121—22no—
1020C2×#121—28no—
1021C2×#121C2×D412yes—
1022C2×#121C2412yes—
1023C2×#121C2414yes—
1024C2×#121C2414yes—
1025C2×#121C2414yes—
1026C2×#121C2412yes—
1027C2×#121C2418yes—
1028C2×#120—22no—
1029C2×#120—24no—
1030C2×#120—22no—
1031C2×#120—24no—
1032C2×#120—28no—
1033C2×#120—24no—
1034C2×#120—22no—
1035C2×#120—24no—
1036C2×#120—24no—
1037C2×#120—24no—
1038C2×#120—24no—
1039C2×#120—28no—
1040C2×#120—28no—
1041C2×#120—24no—
1042C2×#120—28no—
1043C2×#120—28no—
1044C2×#120—28no—
1045C2×#120—28no—
1046C2×#120—432no—
1047C2×#120C2×D412yes—
1048#518—48no—
1049C4×#41—24no—
1050C4×#41—24no—
1051C4×#41—28no—
1052C4×#41—44no—
1053C2×C4×Q8—21no—
1054C2×C4×Q8C2×D411yescharacteristic
1055C2×C4×Q8C2412yes—
1056C2×C4×Q8C2412yes—
1057C2×C4×Q8C2411yescharacteristic
1058C2×C4×D4—22no—
1059C2×C4×D4—22no—
1060C2×C4×D4—22no—
1061C2×C4×D4—24no—
1062C2×C4×D4—24no—
1063C2×C4×D4—24no—
1064C2×C4×D4—24no—
1065C2×C4×D4—28no—
1066C2×C4×D4—28no—
1067C2×C4×D4—28no—
1068C2×C4×D4—28no—
1069C2×C4×D4—24no—
1070C2×C4×D4—21no—
1071C2×C4×D4—21no—
1072C2×C4×D4—24no—
1073C2×C4×D4—21no—
1074C2×C4×D4—22no—
1075C2×C4×D4—22no—
1076C2×C4×D4—22no—
1077C2×C4×D4—21no—
1078C2×C4×D4—22no—
1079C2×C4×D4—22no—
1080C2×C4×D4—22no—
1081C2×C4×D4—22no—
1082C2×C4×D4—22no—
1083C2×C4×D4—22no—
1084C2×C4×D4—22no—
1085C2×C4×D4—22no—
1086C2×C4×D4—21no—
1087C2×C4×D4—24no—
1088C2×C4×D4—24no—
1089C2×C4×D4—24no—
1090C2×C4×D4—24no—
1091C2×C4×D4—48no—
1092C2×C4×D4—42no—
1093C2×C4×D4—42no—
1094C2×C4×D4—44no—
1095C2×C4×D4—44no—
1096C2×C4×D4—44no—
1097C2×C4×D4—44no—
1098C2×C4×D4—416no—
1099C2×C4×D4—416no—
1100C2×C4×D4—48no—
1101C2×C4×D4C2×D412yes—
1102C2×C4×D4C2×D411yescharacteristic
1103C2×C4×D4C2×D414yes—
1104C2×C4×D4C2×D414yes—
1105C2×C4×D4C2×D418yescomplemented
1106C2×C4×D4C2412yes—
1107C2×C4×D4C2412yes—
1108C2×C4×D4C2412yes—
1109C2×C4×D4C2414yes—
1110C2×C4×D4C2414yes—
1111C2×C4×D4C2412yes—
1112C2×C4×D4C2412yes—
1113C2×C4×D4C2412yes—
1114C2×C4×D4C2412yes—
1115C2×C4×D4C2412yes—
1116C2×C4×D4C2411yescharacteristic
1117C2×C4×D4C2411yescharacteristic
1118C2×C4×D4C2411yescharacteristic
1119C2×C4×D4C2411yescharacteristic
1120C2×C4×D4C2418yes—
1121C2×C4×D4C2414yes—
1122C2×C4×D4C2412yes—
1123C2×C4×D4C2411yescharacteristic
1124C2×#117—21no—
1125C2×#117—21no—
1126C2×#117—21no—
1127C2×#117—21no—
1128C2×#117—21no—
1129C2×#117—22no—
1130C2×#117—22no—
1131C2×#117—22no—
1132C2×#117—22no—
1133C2×#117—22no—
1134C2×#117—22no—
1135C2×#117—48no—
1136C2×#117—84no—
1137C2×#117C2×D411yescharacteristic
1138C2×#117C2×D411yescharacteristic
1139C2×#117C2×D412yes—
1140C2×#117C2×D411yescharacteristic
1141C2×#117C2412yes—
1142C22×C4⋊C4—24no—
1143C22×C4⋊C4—21no—
1144C22×C4⋊C4—22no—
1145C22×C4⋊C4—21no—
1146C22×C4⋊C4—21no—
1147C22×C4⋊C4—22no—
1148C22×C4⋊C4—42no—
1149C22×C4⋊C4C2411yescharacteristic
1150C22×C4⋊C4C2412yes—
1151C22×C4⋊C4C2412yes—
1152C22×C4⋊C4C2411yescharacteristic
1153C22×C22⋊C4—21no—
1154C22×C22⋊C4—21no—
1155C22×C22⋊C4—22no—
1156C22×C22⋊C4—21no—
1157C22×C22⋊C4—22no—
1158C22×C22⋊C4—21no—
1159C22×C22⋊C4—22no—
1160C22×C22⋊C4—22no—
1161C22×C22⋊C4—24no—
1162C22×C22⋊C4—28no—
1163C22×C22⋊C4—24no—
1164C22×C22⋊C4—22no—
1165C22×C22⋊C4—22no—
1166C22×C22⋊C4—24no—
1167C22×C22⋊C4—48no—
1168C22×C42—24no—
1169C22×C42—24no—
1170C22×C42—22no—
1171C22×C42—22no—
1172C22×C42C2×D412yes—
1173C22×C42C2×D412yes—
1174C22×C42C2×D411yescharacteristic
1175C22×C42C2×D411yescharacteristic
1176C22×C42C2412yes—
1177C22×C42C2412yes—
1178C22×C42C2411yescharacteristic
1179C22×C42C2412yes—
1180C22×C42C2411yescharacteristic
1181#496—216no—
1182#496—416no—
1183#492—28no—
1184#492—44no—
1185#490—216no—
1186#486—28no—
1187#486—44no—
1188#482—216no—
1189#480—28no—
1190#480—44no—
1191#478—216no—
1192#476—28no—
1193#475—28no—
1194#474—24no—
1195#474—24no—
1196#474—44no—
1197#469—216no—
1198#469—416no—
1199#468—216no—
1200#465—216no—
1201#465—416no—
1202#463—216no—
1203#463—416no—
1204#461—28no—
1205#460—28no—
1206#460—28no—
1207#460—28no—
1208#460—216no—
1209#460—48no—
1210#459—216no—
1211#459—232no—
1212#459—232no—
1213#459—216no—
1214#459—216no—
1215#459—24no—
1216#459—24no—
1217#459—28no—
1218#459—28no—
1219#459—28no—
1220#459—28no—
1221#459—216no—
1222#459—216no—
1223#459—232no—
1224#459—232no—
1225#459—44no—
1226#459—416no—
1227#459C2×D4116yescomplemented
1228#459C2×D4116yescomplemented
1229#459C2×D4116yescomplemented
1230#459C2×D4116yescomplemented
1231#450—216no—
1232#450—216no—
1233#450—48no—
1234#450—416no—
1235#450—416no—
1236#449—216no—
1237#449—416no—
1238#447—28no—
1239#447—216no—
1240#447—216no—
1241#447—44no—
1242#447—48no—
1243#447—416no—
1244#446—28no—
1245#442—216no—
1246#442—416no—
1247#440—216no—
1248C4×D8—28no—
1249C4×D8—28no—
1250C4×D8—48no—
1251#436—28no—
1252#435—216no—
1253#435—416no—
1254#432—28no—
1255#431—24no—
1256#431—24no—
1257C2×#107C2412yes—
1258C2×#107C2412yes—
1259C2×#107C2414yes—
1260C2×#106C2414yes—
1261C2×#106C2418yes—
1262#423—28no—
1263C2×C4⋊C8—28no—
1264C2×C4⋊C8—24no—
1265C2×C4⋊C8—216no—
1266C2×C4⋊C8—216no—
1267C2×C4⋊C8C2×D418yescomplemented
1268C2×C4⋊C8C2414yes—
1269C2×C4⋊C8C2412yes—
1270C2×C4⋊C8C2411yescharacteristic
1271C2×C4⋊C8C2411yescharacteristic
1272C2×C4⋊C8C2412yes—
1273C2×C4⋊C8C2418yes—
1274C2×C4⋊C8C2412yes—
1275C2×C4⋊C8C2418yes—
1276C2×C4⋊C8C2412yes—
1277C2×C4⋊C8C2412yes—
1278#418—216no—
1279C2×#103C2414yes—
1280C2×#103C2418yes—
1281C2×#102—28no—
1282C2×#102—28no—
1283C2×#102—28no—
1284C2×#102—232no—
1285C2×#102—232no—
1286C2×#102C2×D4116yescomplemented
1287C2×#102C2414yes—
1288C2×#102C2414yes—
1289C2×#102C2412yes—
1290C2×#102C2418yes—
1291C2×#102C2414yes—
1292C2×#102C2412yes—
1293C2×#102C2412yes—
1294C2×#102C2414yes—
1295C2×#102C2414yes—
1296C2×#102C2418yes—
1297C2×#102C2414yes—
1298C2×#102C2412yes—
1299C2×#102C2414yes—
1300C2×#102C2418yes—
1301C2×#102C2418yes—
1302C2×#102C2414yes—
1303C2×#102C2414yes—
1304C2×#102C2414yes—
1305C2×#102C2418yes—
1306C2×#102C2414yes—
1307C2×#102C2418yes—
1308C2×#102C2418yes—
1309C2×#102C2418yes—
1310C2×#102C2414yes—
1311C2×#102C2414yes—
1312C2×C22⋊C8C2414yes—
1313C2×C22⋊C8C2414yes—
1314C2×C22⋊C8C2412yes—
1315C2×C22⋊C8C2412yes—
1316C2×C22⋊C8C2414yes—
1317C2×C22⋊C8C2418yes—
1318C2×#97C2414yes—
1319C2×#97C2418yes—
1320C2×C4×C8C2412yes—
1321C2×C4×C8C2412yes—
1322#400—24no—
1323#400—24no—
1324#399—24no—
1325#398—22no—
1326#398—24no—
1327#398—24no—
1328#397—24no—
1329#397—22no—
1330#397—24no—
1331#397—24no—
1332#397—24no—
1333#397—24no—
1334#396—24no—
1335#396—24no—
1336#396—24no—
1337#394—24no—
1338#394—24no—
1339#394—22no—
1340#394—24no—
1341#394—28no—
1342#394—28no—
1343#394—24no—
1344#394—24no—
1345#394—24no—
1346#394—24no—
1347#394—28no—
1348#394—28no—
1349#394—24no—
1350#394—24no—
1351#393—24no—
1352#392—24no—
1353#392—24no—
1354#392—24no—
1355#392—22no—
1356#392—28no—
1357#392—28no—
1358#392—28no—
1359#392—28no—
1360#392—28no—
1361#392—28no—
1362#392—28no—
1363#392—28no—
1364#392—28no—
1365#392—28no—
1366#391—22no—
1367#391—22no—
1368#391C2×D412yes—
1369#391C2414yes—
1370#391C2414yes—
1371#390—24no—
1372#390—22no—
1373#390—22no—
1374#390—24no—
1375#390—24no—
1376#390—24no—
1377#390—24no—
1378#390—24no—
1379#390—24no—
1380#390—22no—
1381#390—22no—
1382#390C2×D412yes—
1383#390C2418yes—
1384#390C2414yes—
1385#390C2414yes—
1386#390C2414yes—
1387#390C2418yes—
1388#390C2418yes—
1389#390C2414yes—
1390#389—22no—
1391#389—22no—
1392#389—22no—
1393#389—22no—
1394#389—24no—
1395#389C2×D412yes—
1396#389C2×D412yes—
1397#389C2414yes—
1398#389C2414yes—
1399#389C2414yes—
1400#389C2414yes—
1401#388—24no—
1402#388—24no—
1403#388—24no—
1404#388—24no—
1405#388—24no—
1406#388—24no—
1407#388—24no—
1408#388—24no—
1409#388—24no—
1410#388—24no—
1411#388—24no—
1412#388C2×D414yes—
1413#388C2×D414yes—
1414#387—24no—
1415#387—24no—
1416#387—24no—
1417#387—24no—
1418#387—24no—
1419#387C2×D414yes—
1420#387C2×D414yes—
1421#386—24no—
1422#386—24no—
1423#386—24no—
1424#386—22no—
1425#386—24no—
1426#386—22no—
1427#386—24no—
1428#386—24no—
1429#386—24no—
1430#386—24no—
1431#386—24no—
1432#386—24no—
1433#386—28no—
1434#386—28no—
1435#386—28no—
1436#386—28no—
1437#386—24no—
1438#386—24no—
1439#386—24no—
1440#386—28no—
1441#386—28no—
1442#386C2×D412yes—
1443#386C2×D414yes—
1444#386C2×D412yes—
1445#386C2×D414yes—
1446#385—24no—
1447#385—22no—
1448#385—24no—
1449#385—22no—
1450#385—24no—
1451#385—24no—
1452#385—24no—
1453#385—24no—
1454#385—24no—
1455#385—24no—
1456#385—24no—
1457#385—24no—
1458#385C2×D414yes—
1459#385C2×D412yes—
1460#385C2×D414yes—
1461#385C2×D412yes—
1462#384C2412yes—
1463#384C2412yes—
1464#382—21no—
1465#382—21no—
1466#382C2414yes—
1467#381—22no—
1468#381—22no—
1469#381—22no—
1470#381—22no—
1471#381—22no—
1472#381—24no—
1473#381—24no—
1474#381—24no—
1475#381C2×D412yes—
1476#380—22no—
1477#380—22no—
1478#380—21no—
1479#380—22no—
1480#380—21no—
1481#380—22no—
1482#380—22no—
1483#380—22no—
1484#380—22no—
1485#380—22no—
1486#380—22no—
1487#380—22no—
1488#380—22no—
1489#380—22no—
1490#380—24no—
1491#380—24no—
1492#380—24no—
1493#380—24no—
1494#380—24no—
1495#380C2×D412yes—
1496#380C2×D412yes—
1497#380C2412yes—
1498#380C2414yes—
1499#380C2412yes—
1500#380C2414yes—
1501#380C2414yes—
1502#379—22no—
1503#379—22no—
1504#379—22no—
1505#379—24no—
1506#379—24no—
1507#379—24no—
1508#379—24no—
1509#379—22no—
1510#379—28no—
1511#379—28no—
1512#379—24no—
1513#379—22no—
1514#379—24no—
1515#379C2×D412yes—
1516C4×C4⋊C4—21no—
1517C4×C4⋊C4—21no—
1518C4×C4⋊C4—24no—
1519C4×C4⋊C4C2×D412yes—
1520C4×C4⋊C4C2×D414yes—
1521C4×C4⋊C4C2×D414yes—
1522C4×C4⋊C4C2414yes—
1523C4×C4⋊C4C2412yes—
1524C4×C4⋊C4C2412yes—
1525C4×C4⋊C4C2412yes—
1526C4×C4⋊C4C2414yes—
1527C4×C22⋊C4—24no—
1528C4×C22⋊C4—24no—
1529C4×C22⋊C4—24no—
1530C4×C22⋊C4—24no—
1531C4×C22⋊C4—24no—
1532C4×C22⋊C4—24no—
1533C4×C22⋊C4—22no—
1534C4×C22⋊C4—24no—
1535C4×C22⋊C4—24no—
1536C4×C22⋊C4—22no—
1537C4×C22⋊C4—24no—
1538C4×C22⋊C4—24no—
1539C4×C22⋊C4C2×D412yes—
1540C4×C22⋊C4C2×D414yes—
1541C4×C22⋊C4C2×D414yes—
1542C4×C22⋊C4C2×D414yes—
1543C4×C22⋊C4C2×D414yes—
1544C4×C22⋊C4C2412yes—
1545C4×C22⋊C4C2414yes—
1546C4×C22⋊C4C2414yes—
1547#376C2×D412yes—
1548C2×#95—24no—
1549C2×#95—24no—
1550C43C2412yes—
1551#340C2418yes—
1552#340C2418yes—
1553#340C2418yes—
1554#340C2414yes—
1555#340C2414yes—
1556#340C2414yes—
1557#340C2414yes—
1558#336C2414yes—
1559#336C2414yes—
1560#336C2418yes—
1561#336C2418yes—
1562#336C2418yes—
1563C25—21no—
1564C25—22no—
1565C25—22no—
1566C25—22no—
1567C25—21no—
1568C25—28no—
1569C25—22no—
1570C25—24no—
1571C25—44no—
1572C25—48no—
1573C25—48no—
1574C25—44no—
1575C25—48no—
1576C25—82no—
1577C25—84no—
1578C25—88no—
1579C25—88no—
1580C25—84no—
1581C25C22×D411yescharacteristic
1582H(5,𝔽2)—864no—
1583C2×#41—24no—
1584C2×#41—24no—
1585C2×#41—24no—
1586C2×#41—24no—
1587C2×#41—28no—
1588C2×#41—42no—
1589C2×#41—44no—
1590C2×#41—48no—
1591C2×#41—48no—
1592C2×#41—48no—
1593C2×#41—48no—
1594C2×#41—44no—
1595C2×#41—44no—
1596C2×#41—44no—
1597C2×#41—84no—
1598C2×#41—84no—
1599C22×Q8—21no—
1600C22×Q8—21no—
1601C22×Q8C22×D411yescharacteristic
1602C22×Q8C2512yes—
1603C22×D4—232no—
1604C22×D4—24no—
1605C22×D4—24no—
1606C22×D4—24no—
1607C22×D4—24no—
1608C22×D4—24no—
1609C22×D4—24no—
1610C22×D4—216no—
1611C22×D4—28no—
1612C22×D4—22no—
1613C22×D4—24no—
1614C22×D4—22no—
1615C22×D4—24no—
1616C22×D4—22no—
1617C22×D4—24no—
1618C22×D4—28no—
1619C22×D4—28no—
1620C22×D4—28no—
1621C22×D4—22no—
1622C22×D4—21no—
1623C22×D4—22no—
1624C22×D4—22no—
1625C22×D4—22no—
1626C22×D4—22no—
1627C22×D4—22no—
1628C22×D4—22no—
1629C22×D4—24no—
1630C22×D4—21no—
1631C22×D4—22no—
1632C22×D4—21no—
1633C22×D4—22no—
1634C22×D4—22no—
1635C22×D4—21no—
1636C22×D4—22no—
1637C22×D4—24no—
1638C22×D4—28no—
1639C22×D4—28no—
1640C22×D4—28no—
1641C22×D4—24no—
1642C22×D4—24no—
1643C22×D4—28no—
1644C22×D4—22no—
1645C22×D4—22no—
1646C22×D4—28no—
1647C22×D4—24no—
1648C22×D4—22no—
1649C22×D4—24no—
1650C22×D4—22no—
1651C22×D4—216no—
1652C22×D4—24no—
1653C22×D4—24no—
1654C22×D4—24no—
1655C22×D4—216no—
1656C22×D4—42no—
1657C22×D4—42no—
1658C22×D4—42no—
1659C22×D4—42no—
1660C22×D4—42no—
1661C22×D4—42no—
1662C22×D4—44no—
1663C22×D4—48no—
1664C22×D4—44no—
1665C22×D4—44no—
1666C22×D4—48no—
1667C22×D4—44no—
1668C22×D4—48no—
1669C22×D4—44no—
1670C22×D4—48no—
1671C22×D4—48no—
1672C22×D4—48no—
1673C22×D4—48no—
1674C22×D4—48no—
1675C22×D4—416no—
1676C22×D4—416no—
1677C22×D4—416no—
1678C22×D4—416no—
1679C22×D4—48no—
1680C22×D4—416no—
1681C22×D4—48no—
1682C22×D4—44no—
1683C22×D4—48no—
1684C22×D4—416no—
1685C22×D4—432no—
1686C22×D4—432no—
1687C22×D4—432no—
1688C22×D4—48no—
1689C22×D4—48no—
1690C22×D4—48no—
1691C22×D4—48no—
1692C22×D4—416no—
1693C22×D4—48no—
1694C22×D4—416no—
1695C22×D4—416no—
1696C22×D4—48no—
1697C22×D4—432no—
1698C22×D4—44no—
1699C22×D4—44no—
1700C22×D4—44no—
1701C22×D4—48no—
1702C22×D4—44no—
1703C22×D4—416no—
1704C22×D4—416no—
1705C22×D4—44no—
1706C22×D4—44no—
1707C22×D4—88no—
1708C22×D4—88no—
1709C22×D4—88no—
1710C22×D4—88no—
1711C22×D4—84no—
1712C22×D4—864no—
1713C22×D4—88no—
1714C22×D4—84no—
1715C22×D4—88no—
1716C22×D4—832no—
1717C22×D4—84no—
1718C22×D4—84no—
1719C22×D4—88no—
1720C22×D4—88no—
1721C22×D4—88no—
1722C22×D4—84no—
1723C22×D4—88no—
1724C22×D4—864no—
1725C22×D4—88no—
1726C22×D4—816no—
1727C22×D4—816no—
1728C22×D4C22×D414yes—
1729C22×D4C22×D412yes—
1730C22×D4C22×D411yescharacteristic
1731C22×D4C22×D414yes—
1732C22×D4C22×D418yes—
1733C22×D4H(5,𝔽2)18yescomplemented
1734C22×D4C2512yes—
1735C22×D4C2514yes—
1736C22×D4C2511yescharacteristic
1737C22×D4C2514yes—
1738C22×D4C2512yes—
1739C22×D4C2511yescharacteristic
1740C23×C4—24no—
1741C23×C4—24no—
1742C23×C4—22no—
1743C23×C4—22no—
1744C23×C4—24no—
1745C23×C4—24no—
1746C23×C4—21no—
1747C23×C4—24no—
1748C23×C4—28no—
1749C23×C4—21no—
1750C23×C4—21no—
1751C23×C4—21no—
1752C23×C4—21no—
1753C23×C4—21no—
1754C23×C4—22no—
1755C23×C4—22no—
1756C23×C4—22no—
1757C23×C4—22no—
1758C23×C4—22no—
1759C23×C4—22no—
1760C23×C4—24no—
1761C23×C4—22no—
1762C23×C4—22no—
1763C23×C4—22no—
1764C23×C4—22no—
1765C23×C4—22no—
1766C23×C4—24no—
1767C23×C4—28no—
1768C23×C4—44no—
1769C23×C4—44no—
1770C23×C4—48no—
1771C23×C4—48no—
1772C23×C4—48no—
1773C23×C4—48no—
1774C23×C4—44no—
1775C23×C4—44no—
1776C23×C4—44no—
1777C23×C4—44no—
1778C23×C4—44no—
1779C23×C4—44no—
1780C23×C4—44no—
1781C23×C4—48no—
1782C23×C4—48no—
1783C23×C4—48no—
1784C23×C4—48no—
1785C23×C4—44no—
1786C23×C4—44no—
1787C23×C4—44no—
1788C23×C4—84no—
1789C23×C4—84no—
1790C23×C4—84no—
1791C23×C4—84no—
1792C23×C4—82no—
1793C23×C4—82no—
1794C23×C4—864no—
1795C23×C4—82no—
1796C23×C4AGL(1,ℤ/8)18yescomplemented
1797C23×C4C22×D411yescharacteristic
1798C23×C4C22×D412yes—
1799C23×C4C22×D412yes—
1800C23×C4C22×D412yes—
1801C23×C4C22×D412yes—
1802C23×C4C22×D412yes—
1803C23×C4C22×D412yes—
1804C23×C4C22×D411yescharacteristic
1805C23×C4C22×D411yescharacteristic
1806C23×C4C22×D412yes—
1807C23×C4C22×D411yescharacteristic
1808C23×C4C22×D411yescharacteristic
1809C23×C4C2512yes—
1810C23×C4C2511yescharacteristic
1811C23×C4C2512yes—
1812AGL(1,ℤ/8)—832no—
1813C2×SD16—28no—
1814C2×SD16—28no—
1815C2×SD16—28no—
1816C2×SD16—48no—
1817C2×SD16—48no—
1818C2×SD16—48no—
1819C2×SD16—48no—
1820C2×SD16—48no—
1821C2×SD16—48no—
1822C2×D8—216no—
1823C2×D8—216no—
1824C2×D8—28no—
1825C2×D8—28no—
1826C2×D8—24no—
1827C2×D8—216no—
1828C2×D8—216no—
1829C2×D8—216no—
1830C2×D8—28no—
1831C2×D8—24no—
1832C2×D8—28no—
1833C2×D8—216no—
1834C2×D8—48no—
1835C2×D8—48no—
1836C2×D8—48no—
1837C2×D8—48no—
1838C2×D8—44no—
1839C2×D8—44no—
1840C2×D8—44no—
1841C2×D8—432no—
1842C2×D8—4128no—
1843C2×D8—432no—
1844C2×D8—4128no—
1845C2×D8—432no—
1846C2×D8—432no—
1847C2×D8C22×D4116yes—
1848C2×D8C22×D4116yes—
1849C2×M16—28no—
1850C2×M16—48no—
1851C22×C8—24no—
1852C22×C8—216no—
1853C22×C8—216no—
1854C22×C8—44no—
1855C22×C8—48no—
1856C22×C8—44no—
1857C22×C8—432no—
1858C22×C8C22×D418yes—
1859C22×C8C2514yes—
1860C22×C8C2512yes—
1861C22×C8C2512yes—
1862C22×C8C2514yes—
1863C22×C8C2514yes—
1864C4⋊Q8—22no—
1865C4⋊Q8—22no—
1866C4⋊Q8—22no—
1867C4⋊Q8—22no—
1868C4⋊Q8—22no—
1869C4⋊Q8—22no—
1870#127—216no—
1871#127—28no—
1872#127—28no—
1873#127—28no—
1874#127—24no—
1875#127—24no—
1876#127—22no—
1877#127—24no—
1878#127—24no—
1879#127—24no—
1880#127—24no—
1881#127—22no—
1882#127—48no—
1883#127—44no—
1884#127—48no—
1885#127—48no—
1886#127—416no—
1887#127—416no—
1888#127—416no—
1889#127—416no—
1890#127—416no—
1891#127—48no—
1892#127—48no—
1893#127—48no—
1894#127—48no—
1895#127—44no—
1896#127—44no—
1897#127—84no—
1898#127—88no—
1899#127C22×D418yes—
1900#127C22×D418yes—
1901#126—48no—
1902#126—48no—
1903#126—48no—
1904#125—24no—
1905#125—42no—
1906#125—48no—
1907#125—44no—
1908#124—24no—
1909#124—28no—
1910#124—42no—
1911#124—44no—
1912#124—48no—
1913#124—48no—
1914#124—48no—
1915#124—48no—
1916#124—44no—
1917#124—84no—
1918#123—28no—
1919#123—48no—
1920#123—48no—
1921#123—48no—
1922#123—416no—
1923#123—432no—
1924#123—48no—
1925#123—48no—
1926#123—84no—
1927C22⋊Q8—28no—
1928C22⋊Q8—24no—
1929C22⋊Q8—24no—
1930C22⋊Q8—28no—
1931C22⋊Q8—28no—
1932C22⋊Q8—24no—
1933C22⋊Q8—48no—
1934C22⋊Q8—42no—
1935C22⋊Q8—44no—
1936C22⋊Q8—44no—
1937C22⋊Q8—44no—
1938C22⋊Q8—48no—
1939C22⋊Q8—84no—
1940C22⋊Q8—84no—
1941#121—28no—
1942#121—24no—
1943#121—28no—
1944#121—28no—
1945#121—24no—
1946#121—24no—
1947#121—28no—
1948#121—28no—
1949#121—48no—
1950#121—416no—
1951#121—432no—
1952#121—42no—
1953#121—44no—
1954#121—44no—
1955#121—48no—
1956#121—416no—
1957#121—48no—
1958#121—416no—
1959#121—432no—
1960#121—416no—
1961#121—44no—
1962#121—44no—
1963#121—48no—
1964#121—416no—
1965#121—48no—
1966#121—44no—
1967#121—48no—
1968#121—48no—
1969#121—48no—
1970#121—816no—
1971#121—816no—
1972#121—88no—
1973#121—84no—
1974#121—88no—
1975#120—28no—
1976#120—416no—
1977#120—416no—
1978#120—416no—
1979#120—416no—
1980#120—432no—
1981#120—432no—
1982#120—48no—
1983#120—416no—
1984#120—416no—
1985#120—432no—
1986#120—48no—
1987#120—816no—
1988#120—88no—
1989#120—816no—
1990#120—816no—
1991#120—816no—
1992#120—88no—
1993#120—84no—
1994C4×Q8—24no—
1995C4×Q8—22no—
1996C4×Q8—22no—
1997C4×Q8—24no—
1998C4×Q8—24no—
1999C4×Q8—24no—
2000C4×Q8—42no—
2001C4×Q8—44no—
2002C4×D4—28no—
2003C4×D4—216no—
2004C4×D4—24no—
2005C4×D4—24no—
2006C4×D4—28no—
2007C4×D4—28no—
2008C4×D4—24no—
2009C4×D4—24no—
2010C4×D4—24no—
2011C4×D4—28no—
2012C4×D4—28no—
2013C4×D4—24no—
2014C4×D4—24no—
2015C4×D4—28no—
2016C4×D4—28no—
2017C4×D4—24no—
2018C4×D4—22no—
2019C4×D4—24no—
2020C4×D4—24no—
2021C4×D4—24no—
2022C4×D4—22no—
2023C4×D4—22no—
2024C4×D4—22no—
2025C4×D4—22no—
2026C4×D4—22no—
2027C4×D4—24no—
2028C4×D4—24no—
2029C4×D4—24no—
2030C4×D4—48no—
2031C4×D4—48no—
2032C4×D4—48no—
2033C4×D4—48no—
2034C4×D4—42no—
2035C4×D4—42no—
2036C4×D4—42no—
2037C4×D4—42no—
2038C4×D4—42no—
2039C4×D4—44no—
2040C4×D4—44no—
2041C4×D4—48no—
2042C4×D4—48no—
2043C4×D4—48no—
2044C4×D4—48no—
2045C4×D4—48no—
2046C4×D4—48no—
2047C4×D4—48no—
2048C4×D4—416no—
2049C4×D4—48no—
2050C4×D4—48no—
2051C4×D4—48no—
2052C4×D4—48no—
2053C4×D4—416no—
2054C4×D4—48no—
2055C4×D4—48no—
2056C4×D4—416no—
2057C4×D4—44no—
2058C4×D4—44no—
2059C4×D4—44no—
2060C4×D4—88no—
2061C4×D4—88no—
2062C4×D4C22×D414yes—
2063C4×D4C22×D414yes—
2064C4×D4C22×D414yes—
2065C4×D4C22×D414yes—
2066#117—24no—
2067#117—24no—
2068#117—24no—
2069#117—28no—
2070#117—24no—
2071#117—48no—
2072#117—48no—
2073#117—48no—
2074#117—42no—
2075#117—44no—
2076#117—44no—
2077#117—44no—
2078#117—44no—
2079#117—44no—
2080#117—84no—
2081#117—84no—
2082#117—84no—
2083C2×C4⋊C4—21no—
2084C2×C4⋊C4—22no—
2085C2×C4⋊C4—22no—
2086C2×C4⋊C4—22no—
2087C2×C4⋊C4—24no—
2088C2×C4⋊C4—24no—
2089C2×C4⋊C4—22no—
2090C2×C4⋊C4—22no—
2091C2×C4⋊C4—21no—
2092C2×C4⋊C4—21no—
2093C2×C4⋊C4—21no—
2094C2×C4⋊C4—22no—
2095C2×C4⋊C4—22no—
2096C2×C4⋊C4—22no—
2097C2×C4⋊C4—22no—
2098C2×C4⋊C4—22no—
2099C2×C4⋊C4—22no—
2100C2×C4⋊C4—21no—
2101C2×C4⋊C4—22no—
2102C2×C4⋊C4—24no—
2103C2×C4⋊C4—22no—
2104C2×C4⋊C4—22no—
2105C2×C4⋊C4—21no—
2106C2×C4⋊C4—24no—
2107C2×C4⋊C4—24no—
2108C2×C4⋊C4—24no—
2109C2×C4⋊C4—22no—
2110C2×C4⋊C4—24no—
2111C2×C4⋊C4—42no—
2112C2×C4⋊C4—42no—
2113C2×C4⋊C4—48no—
2114C2×C4⋊C4—44no—
2115C2×C4⋊C4—44no—
2116C2×C4⋊C4—44no—
2117C2×C4⋊C4—84no—
2118C2×C4⋊C4C22×D411yescharacteristic
2119C2×C4⋊C4C22×D411yescharacteristic
2120C2×C4⋊C4C22×D412yes—
2121C2×C4⋊C4C22×D412yes—
2122C2×C4⋊C4C22×D412yes—
2123C2×C4⋊C4C22×D412yes—
2124C2×C4⋊C4C22×D414yes—
2125C2×C4⋊C4C22×D414yes—
2126C2×C4⋊C4C22×D414yes—
2127C2×C4⋊C4C22×D414yes—
2128C2×C4⋊C4C2512yes—
2129C2×C4⋊C4C2512yes—
2130C2×C4⋊C4C2512yes—
2131C2×C4⋊C4C2514yes—
2132C2×C4⋊C4C2514yes—
2133C2×C4⋊C4C2511yescharacteristic
2134C2×C4⋊C4C2511yescharacteristic
2135C2×C22⋊C4—28no—
2136C2×C22⋊C4—21no—
2137C2×C22⋊C4—21no—
2138C2×C22⋊C4—21no—
2139C2×C22⋊C4—21no—
2140C2×C22⋊C4—22no—
2141C2×C22⋊C4—24no—
2142C2×C22⋊C4—22no—
2143C2×C22⋊C4—22no—
2144C2×C22⋊C4—24no—
2145C2×C22⋊C4—24no—
2146C2×C22⋊C4—22no—
2147C2×C22⋊C4—22no—
2148C2×C22⋊C4—22no—
2149C2×C22⋊C4—22no—
2150C2×C22⋊C4—22no—
2151C2×C22⋊C4—22no—
2152C2×C22⋊C4—22no—
2153C2×C22⋊C4—22no—
2154C2×C22⋊C4—22no—
2155C2×C22⋊C4—22no—
2156C2×C22⋊C4—28no—
2157C2×C22⋊C4—28no—
2158C2×C22⋊C4—28no—
2159C2×C22⋊C4—24no—
2160C2×C22⋊C4—24no—
2161C2×C22⋊C4—22no—
2162C2×C22⋊C4—24no—
2163C2×C22⋊C4—24no—
2164C2×C22⋊C4—22no—
2165C2×C22⋊C4—22no—
2166C2×C22⋊C4—24no—
2167C2×C22⋊C4—22no—
2168C2×C22⋊C4—24no—
2169C2×C22⋊C4—24no—
2170C2×C22⋊C4—24no—
2171C2×C22⋊C4—24no—
2172C2×C22⋊C4—24no—
2173C2×C22⋊C4—24no—
2174C2×C22⋊C4—24no—
2175C2×C22⋊C4—24no—
2176C2×C22⋊C4—28no—
2177C2×C22⋊C4—24no—
2178C2×C22⋊C4—28no—
2179C2×C22⋊C4—28no—
2180C2×C22⋊C4—28no—
2181C2×C22⋊C4—28no—
2182C2×C22⋊C4—24no—
2183C2×C22⋊C4—24no—
2184C2×C22⋊C4—48no—
2185C2×C22⋊C4—48no—
2186C2×C22⋊C4—48no—
2187C2×C22⋊C4—48no—
2188C2×C22⋊C4—48no—
2189C2×C22⋊C4—416no—
2190C2×C22⋊C4—416no—
2191C2×C22⋊C4—432no—
2192C2×C22⋊C4—44no—
2193C2×C22⋊C4—44no—
2194C2×C22⋊C4—44no—
2195C2×C22⋊C4—88no—
2196C2×C22⋊C4—84no—
2197C2×C22⋊C4C22×D412yes—
2198C2×C22⋊C4C22×D414yes—
2199C2×C22⋊C4C22×D412yes—
2200C2×C22⋊C4C22×D412yes—
2201C2×C22⋊C4C22×D414yes—
2202C2×C22⋊C4C22×D414yes—
2203C2×C22⋊C4C22×D412yes—
2204C2×C22⋊C4C22×D412yes—
2205C2×C22⋊C4C22×D414yes—
2206C2×C22⋊C4C22×D414yes—
2207C2×C22⋊C4C22×D414yes—
2208C2×C42—24no—
2209C2×C42—24no—
2210C2×C42—22no—
2211C2×C42—22no—
2212C2×C42—28no—
2213C2×C42—28no—
2214C2×C42—24no—
2215C2×C42—24no—
2216C2×C42—24no—
2217C2×C42—24no—
2218C2×C42—24no—
2219C2×C42—24no—
2220C2×C42—22no—
2221C2×C42—22no—
2222C2×C42—22no—
2223C2×C42—22no—
2224C2×C42—22no—
2225C2×C42—24no—
2226C2×C42—48no—
2227C2×C42—84no—
2228C2×C42C22×D412yes—
2229C2×C42C22×D412yes—
2230C2×C42C22×D412yes—
2231C2×C42C22×D412yes—
2232C2×C42C22×D412yes—
2233C2×C42C22×D412yes—
2234C2×C42C22×D412yes—
2235C2×C42C22×D412yes—
2236C2×C42C22×D412yes—
2237C2×C42C22×D414yes—
2238C2×C42C22×D411yescharacteristic
2239C2×C42C22×D411yescharacteristic
2240C2×C42C22×D414yes—
2241C2×C42H(5,𝔽2)14yes—
2242C2×C42C2512yes—
2243C2×C42C2514yes—
2244C2×C42C2512yes—
2245C2×C42C2511yescharacteristic
2246C2×C42C2511yescharacteristic
2247#107—24no—
2248#107—24no—
2249#107—44no—
2250#106—28no—
2251#106—48no—
2252C4⋊C8—216no—
2253C4⋊C8—28no—
2254C4⋊C8—24no—
2255C4⋊C8—24no—
2256C4⋊C8—22no—
2257C4⋊C8—22no—
2258C4⋊C8—24no—
2259C4⋊C8—48no—
2260C4⋊C8C22×D418yes—
2261C4⋊C8C22×D418yes—
2262#103—28no—
2263#103—48no—
2264#102—216no—
2265#102—28no—
2266#102—24no—
2267#102—24no—
2268#102—28no—
2269#102—28no—
2270#102—28no—
2271#102—216no—
2272#102—28no—
2273#102—28no—
2274#102—28no—
2275#102—24no—
2276#102—24no—
2277#102—44no—
2278#102—44no—
2279#102—48no—
2280#102—44no—
2281#102—44no—
2282#102—48no—
2283#102—48no—
2284#102—48no—
2285#102—48no—
2286#102—48no—
2287#102C22×D4116yes—
2288#102C22×D4116yes—
2289C22⋊C8—24no—
2290C22⋊C8—24no—
2291C22⋊C8—28no—
2292C22⋊C8—28no—
2293C22⋊C8—28no—
2294C22⋊C8—48no—
2295#97—28no—
2296#97—48no—
2297C4×C8—24no—
2298C4×C8—24no—
2299#95—24no—
2300#95—24no—
2301#95—24no—
2302#95—24no—
2303#95—24no—
2304#95—24no—
2305#95—24no—
2306#95—22no—
2307#95—24no—
2308#95—24no—
2309#95—24no—
2310#95—24no—
2311#95—24no—
2312#95—24no—
2313#95—22no—
2314#95—22no—
2315#95—24no—
2316#95—22no—
2317#95C22×D414yes—
2318#95C22×D414yes—
2319#95C22×D414yes—
2320#95C22×D414yes—
2321#95C22×D414yes—
2322#95C22×D414yes—
2323#95C22×D414yes—
2324#95C22×D414yes—
2325C24—24no—
2326C24—22no—
2327C24—24no—
2328C24—22no—
2329C24—21no—
2330C24—22no—
2331C24—21no—
2332C24—24no—
2333C24—24no—
2334C24—28no—
2335C24—28no—
2336C24—24no—
2337C24—22no—
2338C24—44no—
2339C24—44no—
2340C24—44no—
2341C24—44no—
2342C24—44no—
2343C24—44no—
2344C24—416no—
2345C24—48no—
2346C24—432no—
2347C24—48no—
2348C24—44no—
2349C24—42no—
2350C24—44no—
2351C24—44no—
2352C24—42no—
2353C24—42no—
2354C24—44no—
2355C24—44no—
2356C24—44no—
2357C24—44no—
2358C24—44no—
2359C24—42no—
2360C24—42no—
2361C24—416no—
2362C24—416no—
2363C24—416no—
2364C24—44no—
2365C24—44no—
2366C24—82no—
2367C24—82no—
2368C24—82no—
2369C24—82no—
2370C24—82no—
2371C24—82no—
2372C24—84no—
2373C24—88no—
2374C24—84no—
2375C24—88no—
2376C24—84no—
2377C24—88no—
2378C24—84no—
2379C24—84no—
2380C24—88no—
2381C24—88no—
2382C24—816no—
2383C24—832no—
2384C24—832no—
2385C24—816no—
2386C24—832no—
2387C24—832no—
2388C24—832no—
2389C24—1632no—
2390C24—1632no—
2391C24C2×AGL(1,ℤ/8)14yes—
2392C24C23×D412yes—
2393C24C23×D412yes—
2394C24C23×D411yescharacteristic
2395#41—416no—
2396#41—48no—
2397#41—84no—
2398#41—88no—
2399#41—832no—
2400#41—832no—
2401#41—816no—
2402C2×Q8—22no—
2403C2×Q8—22no—
2404C2×Q8—22no—
2405C2×Q8—22no—
2406C2×Q8—24no—
2407C2×Q8—22no—
2408C2×Q8—24no—
2409C2×Q8—42no—
2410C2×Q8—42no—
2411C2×Q8—42no—
2412C2×Q8—42no—
2413C2×Q8—82no—
2414C2×D4—28no—
2415C2×D4—216no—
2416C2×D4—28no—
2417C2×D4—216no—
2418C2×D4—28no—
2419C2×D4—24no—
2420C2×D4—28no—
2421C2×D4—28no—
2422C2×D4—24no—
2423C2×D4—24no—
2424C2×D4—22no—
2425C2×D4—22no—
2426C2×D4—24no—
2427C2×D4—21no—
2428C2×D4—22no—
2429C2×D4—28no—
2430C2×D4—22no—
2431C2×D4—22no—
2432C2×D4—21no—
2433C2×D4—24no—
2434C2×D4—22no—
2435C2×D4—24no—
2436C2×D4—24no—
2437C2×D4—28no—
2438C2×D4—22no—
2439C2×D4—22no—
2440C2×D4—22no—
2441C2×D4—28no—
2442C2×D4—22no—
2443C2×D4—28no—
2444C2×D4—24no—
2445C2×D4—24no—
2446C2×D4—22no—
2447C2×D4—28no—
2448C2×D4—28no—
2449C2×D4—28no—
2450C2×D4—28no—
2451C2×D4—28no—
2452C2×D4—28no—
2453C2×D4—22no—
2454C2×D4—22no—
2455C2×D4—44no—
2456C2×D4—48no—
2457C2×D4—48no—
2458C2×D4—48no—
2459C2×D4—48no—
2460C2×D4—48no—
2461C2×D4—48no—
2462C2×D4—48no—
2463C2×D4—48no—
2464C2×D4—48no—
2465C2×D4—432no—
2466C2×D4—432no—
2467C2×D4—44no—
2468C2×D4—44no—
2469C2×D4—44no—
2470C2×D4—44no—
2471C2×D4—44no—
2472C2×D4—44no—
2473C2×D4—48no—
2474C2×D4—464no—
2475C2×D4—432no—
2476C2×D4—44no—
2477C2×D4—48no—
2478C2×D4—48no—
2479C2×D4—48no—
2480C2×D4—48no—
2481C2×D4—416no—
2482C2×D4—416no—
2483C2×D4—416no—
2484C2×D4—48no—
2485C2×D4—416no—
2486C2×D4—44no—
2487C2×D4—48no—
2488C2×D4—48no—
2489C2×D4—48no—
2490C2×D4—416no—
2491C2×D4—44no—
2492C2×D4—48no—
2493C2×D4—48no—
2494C2×D4—48no—
2495C2×D4—48no—
2496C2×D4—44no—
2497C2×D4—48no—
2498C2×D4—48no—
2499C2×D4—44no—
2500C2×D4—44no—
2501C2×D4—44no—
2502C2×D4—48no—
2503C2×D4—416no—
2504C2×D4—42no—
2505C2×D4—42no—
2506C2×D4—42no—
2507C2×D4—44no—
2508C2×D4—44no—
2509C2×D4—44no—
2510C2×D4—44no—
2511C2×D4—44no—
2512C2×D4—44no—
2513C2×D4—416no—
2514C2×D4—432no—
2515C2×D4—44no—
2516C2×D4—44no—
2517C2×D4—416no—
2518C2×D4—44no—
2519C2×D4—44no—
2520C2×D4—42no—
2521C2×D4—44no—
2522C2×D4—44no—
2523C2×D4—44no—
2524C2×D4—44no—
2525C2×D4—42no—
2526C2×D4—88no—
2527C2×D4—816no—
2528C2×D4—88no—
2529C2×D4—816no—
2530C2×D4—864no—
2531C2×D4—864no—
2532C2×D4—84no—
2533C2×D4—88no—
2534C2×D4—84no—
2535C2×D4—88no—
2536C2×D4—84no—
2537C2×D4—84no—
2538C2×D4—88no—
2539C2×D4—84no—
2540C2×D4—832no—
2541C2×D4—864no—
2542C2×D4—832no—
2543C2×D4—88no—
2544C2×D4—88no—
2545C2×D4—88no—
2546C2×D4—88no—
2547C2×D4—88no—
2548C2×D4—88no—
2549C2×D4—88no—
2550C2×D4—88no—
2551C2×D4—88no—
2552C2×D4—816no—
2553C2×D4—864no—
2554C2×D4—832no—
2555C2×D4—84no—
2556C2×D4—816no—
2557C2×D4—864no—
2558C2×D4—832no—
2559C2×D4—84no—
2560C2×D4—88no—
2561C2×D4—88no—
2562C2×D4—84no—
2563C2×D4—84no—
2564C2×D4—832no—
2565C2×D4—864no—
2566C2×D4—816no—
2567C2×D4—168no—
2568C2×D4—1616no—
2569C2×D4—1664no—
2570C2×D4C23×D418yes—
2571C2×D4C23×D412yes—
2572C2×D4C23×D412yes—
2573C2×D4C2×H(5,𝔽2)14yes—
2574C2×D4C2×H(5,𝔽2)14yes—
2575C22×C4—28no—
2576C22×C4—28no—
2577C22×C4—216no—
2578C22×C4—22no—
2579C22×C4—22no—
2580C22×C4—24no—
2581C22×C4—22no—
2582C22×C4—22no—
2583C22×C4—22no—
2584C22×C4—22no—
2585C22×C4—22no—
2586C22×C4—22no—
2587C22×C4—22no—
2588C22×C4—24no—
2589C22×C4—24no—
2590C22×C4—24no—
2591C22×C4—24no—
2592C22×C4—24no—
2593C22×C4—232no—
2594C22×C4—24no—
2595C22×C4—24no—
2596C22×C4—24no—
2597C22×C4—24no—
2598C22×C4—21no—
2599C22×C4—21no—
2600C22×C4—22no—
2601C22×C4—24no—
2602C22×C4—22no—
2603C22×C4—24no—
2604C22×C4—22no—
2605C22×C4—24no—
2606C22×C4—24no—
2607C22×C4—24no—
2608C22×C4—24no—
2609C22×C4—24no—
2610C22×C4—24no—
2611C22×C4—24no—
2612C22×C4—24no—
2613C22×C4—24no—
2614C22×C4—24no—
2615C22×C4—24no—
2616C22×C4—22no—
2617C22×C4—24no—
2618C22×C4—22no—
2619C22×C4—22no—
2620C22×C4—24no—
2621C22×C4—22no—
2622C22×C4—42no—
2623C22×C4—42no—
2624C22×C4—42no—
2625C22×C4—42no—
2626C22×C4—44no—
2627C22×C4—44no—
2628C22×C4—44no—
2629C22×C4—44no—
2630C22×C4—44no—
2631C22×C4—44no—
2632C22×C4—48no—
2633C22×C4—44no—
2634C22×C4—44no—
2635C22×C4—48no—
2636C22×C4—48no—
2637C22×C4—44no—
2638C22×C4—48no—
2639C22×C4—416no—
2640C22×C4—416no—
2641C22×C4—42no—
2642C22×C4—42no—
2643C22×C4—432no—
2644C22×C4—42no—
2645C22×C4—42no—
2646C22×C4—42no—
2647C22×C4—42no—
2648C22×C4—42no—
2649C22×C4—42no—
2650C22×C4—42no—
2651C22×C4—42no—
2652C22×C4—42no—
2653C22×C4—44no—
2654C22×C4—44no—
2655C22×C4—42no—
2656C22×C4—42no—
2657C22×C4—44no—
2658C22×C4—44no—
2659C22×C4—44no—
2660C22×C4—44no—
2661C22×C4—44no—
2662C22×C4—44no—
2663C22×C4—44no—
2664C22×C4—44no—
2665C22×C4—44no—
2666C22×C4—44no—
2667C22×C4—44no—
2668C22×C4—44no—
2669C22×C4—44no—
2670C22×C4—82no—
2671C22×C4—82no—
2672C22×C4—82no—
2673C22×C4—82no—
2674C22×C4—84no—
2675C22×C4—816no—
2676C22×C4—832no—
2677C22×C4—832no—
2678C22×C4—832no—
2679C22×C4—832no—
2680C22×C4—84no—
2681C22×C4—84no—
2682C22×C4—84no—
2683C22×C4—88no—
2684C22×C4—88no—
2685C22×C4—816no—
2686C22×C4—82no—
2687C22×C4—82no—
2688C22×C4—816no—
2689C22×C4—816no—
2690C22×C4D4214yes—
2691C22×C4D4214yes—
2692C22×C4C2×AGL(1,ℤ/8)18yes—
2693C22×C4C2×AGL(1,ℤ/8)18yes—
2694C22×C4C2×AGL(1,ℤ/8)14yes—
2695C22×C4C2×AGL(1,ℤ/8)14yes—
2696C22×C4#57614yes—
2697C22×C4C23×D412yes—
2698C22×C4C23×D414yes—
2699C22×C4C23×D414yes—
2700C22×C4C23×D412yes—
2701C22×C4C23×D412yes—
2702C22×C4C23×D412yes—
2703C22×C4C23×D412yes—
2704C22×C4C23×D411yescharacteristic
2705C22×C4C23×D411yescharacteristic
2706C22×C4C23×D411yescharacteristic
2707C22×C4C23×D412yes—
2708C22×C4C23×D412yes—
2709C22×C4C23×D411yescharacteristic
2710C22×C4C23×D411yescharacteristic
2711C22×C4C2×H(5,𝔽2)12yes—
2712C22×C4C2×H(5,𝔽2)14yes—
2713C22×C4#58514yes—
2714C22×C4C2611yescharacteristic
2715SD16—88no—
2716SD16—88no—
2717SD16—88no—
2718SD16—168no—
2719D8—232no—
2720D8—416no—
2721D8—432no—
2722D8—432no—
2723D8—416no—
2724D8—416no—
2725D8—48no—
2726D8—84no—
2727D8—88no—
2728M16—88no—
2729C2×C8—28no—
2730C2×C8—22no—
2731C2×C8—22no—
2732C2×C8—24no—
2733C2×C8—24no—
2734C2×C8—24no—
2735C2×C8—24no—
2736C2×C8—28no—
2737C2×C8—24no—
2738C2×C8—24no—
2739C2×C8—48no—
2740C2×C8—432no—
2741C2×C8—48no—
2742C2×C8C23×D418yes—
2743C4⋊C4—21no—
2744C4⋊C4—21no—
2745C4⋊C4—24no—
2746C4⋊C4—22no—
2747C4⋊C4—22no—
2748C4⋊C4—24no—
2749C4⋊C4—24no—
2750C4⋊C4—28no—
2751C4⋊C4—24no—
2752C4⋊C4—28no—
2753C4⋊C4—24no—
2754C4⋊C4—22no—
2755C4⋊C4—22no—
2756C4⋊C4—22no—
2757C4⋊C4—24no—
2758C4⋊C4—24no—
2759C4⋊C4—22no—
2760C4⋊C4—22no—
2761C4⋊C4—22no—
2762C4⋊C4—24no—
2763C4⋊C4—24no—
2764C4⋊C4—44no—
2765C4⋊C4—44no—
2766C4⋊C4—44no—
2767C4⋊C4—44no—
2768C4⋊C4—44no—
2769C4⋊C4—44no—
2770C4⋊C4—44no—
2771C4⋊C4—44no—
2772C4⋊C4—42no—
2773C4⋊C4—42no—
2774C4⋊C4—42no—
2775C4⋊C4—44no—
2776C4⋊C4—42no—
2777C4⋊C4—44no—
2778C4⋊C4—42no—
2779C4⋊C4—48no—
2780C4⋊C4—44no—
2781C4⋊C4—48no—
2782C4⋊C4—44no—
2783C4⋊C4—84no—
2784C4⋊C4—84no—
2785C4⋊C4—82no—
2786C4⋊C4—84no—
2787C4⋊C4C23×D412yes—
2788C4⋊C4C23×D412yes—
2789C22⋊C4—28no—
2790C22⋊C4—24no—
2791C22⋊C4—28no—
2792C22⋊C4—24no—
2793C22⋊C4—28no—
2794C22⋊C4—24no—
2795C22⋊C4—24no—
2796C22⋊C4—24no—
2797C22⋊C4—24no—
2798C22⋊C4—24no—
2799C22⋊C4—24no—
2800C22⋊C4—24no—
2801C22⋊C4—28no—
2802C22⋊C4—28no—
2803C22⋊C4—44no—
2804C22⋊C4—44no—
2805C22⋊C4—44no—
2806C22⋊C4—44no—
2807C22⋊C4—44no—
2808C22⋊C4—44no—
2809C22⋊C4—44no—
2810C22⋊C4—48no—
2811C22⋊C4—48no—
2812C22⋊C4—44no—
2813C22⋊C4—44no—
2814C22⋊C4—48no—
2815C22⋊C4—48no—
2816C22⋊C4—48no—
2817C22⋊C4—44no—
2818C22⋊C4—44no—
2819C22⋊C4—48no—
2820C22⋊C4—416no—
2821C22⋊C4—416no—
2822C22⋊C4—416no—
2823C22⋊C4—48no—
2824C22⋊C4—48no—
2825C22⋊C4—44no—
2826C22⋊C4—48no—
2827C22⋊C4—44no—
2828C22⋊C4—48no—
2829C22⋊C4—44no—
2830C22⋊C4—44no—
2831C22⋊C4—44no—
2832C22⋊C4—44no—
2833C22⋊C4—44no—
2834C22⋊C4—48no—
2835C22⋊C4—48no—
2836C22⋊C4—84no—
2837C22⋊C4—84no—
2838C22⋊C4—84no—
2839C22⋊C4—88no—
2840C22⋊C4—88no—
2841C22⋊C4—84no—
2842C22⋊C4—84no—
2843C22⋊C4—84no—
2844C22⋊C4—88no—
2845C22⋊C4—88no—
2846C22⋊C4—88no—
2847C22⋊C4—84no—
2848C42—22no—
2849C42—22no—
2850C42—24no—
2851C42—22no—
2852C42—22no—
2853C42—24no—
2854C42—24no—
2855C42—24no—
2856C42—24no—
2857C42—24no—
2858C42—24no—
2859C42—24no—
2860C42—24no—
2861C42—24no—
2862C42—24no—
2863C42—44no—
2864C42—44no—
2865C42—44no—
2866C42—44no—
2867C42—44no—
2868C42—44no—
2869C42—84no—
2870C42D4214yes—
2871C42D4214yes—
2872C42C23×D412yes—
2873C42C23×D412yes—
2874C42C2×H(5,𝔽2)12yes—
2875C42C2×H(5,𝔽2)12yes—
2876C23—28no—
2877C23—28no—
2878C23—216no—
2879C23—216no—
2880C23—22no—
2881C23—22no—
2882C23—28no—
2883C23—22no—
2884C23—22no—
2885C23—22no—
2886C23—22no—
2887C23—24no—
2888C23—22no—
2889C23—24no—
2890C23—24no—
2891C23—22no—
2892C23—22no—
2893C23—24no—
2894C23—22no—
2895C23—22no—
2896C23—28no—
2897C23—48no—
2898C23—416no—
2899C23—48no—
2900C23—416no—
2901C23—41no—
2902C23—41no—
2903C23—42no—
2904C23—416no—
2905C23—48no—
2906C23—42no—
2907C23—42no—
2908C23—48no—
2909C23—44no—
2910C23—42no—
2911C23—41no—
2912C23—41no—
2913C23—42no—
2914C23—44no—
2915C23—42no—
2916C23—42no—
2917C23—42no—
2918C23—48no—
2919C23—42no—
2920C23—416no—
2921C23—44no—
2922C23—48no—
2923C23—44no—
2924C23—42no—
2925C23—44no—
2926C23—42no—
2927C23—44no—
2928C23—48no—
2929C23—42no—
2930C23—44no—
2931C23—84no—
2932C23—88no—
2933C23—88no—
2934C23—88no—
2935C23—88no—
2936C23—88no—
2937C23—88no—
2938C23—88no—
2939C23—88no—
2940C23—88no—
2941C23—88no—
2942C23—88no—
2943C23—88no—
2944C23—88no—
2945C23—88no—
2946C23—88no—
2947C23—832no—
2948C23—832no—
2949C23—832no—
2950C23—8128no—
2951C23—84no—
2952C23—88no—
2953C23—88no—
2954C23—88no—
2955C23—816no—
2956C23—88no—
2957C23—84no—
2958C23—832no—
2959C23—88no—
2960C23—168no—
2961C23—1616no—
2962C23—168no—
2963C23—1616no—
2964C23—1616no—
2965C23—168no—
2966C23—168no—
2967C23—16128no—
2968C23—168no—
2969C23—168no—
2970C23—1616no—
2971C23—328no—
2972C23C2×D4212yes—
2973C23#348814yes—
2974C23C22×AGL(1,ℤ/8)14yes—
2975C23C22×AGL(1,ℤ/8)12yes—
2976C23C2×#57612yes—
2977C23#358514yes—
2978C23C24×D411yescharacteristic
2979Q8—44no—
2980Q8—42no—
2981Q8—42no—
2982Q8—44no—
2983Q8—84no—
2984Q8—162no—
2985D4—28no—
2986D4—22no—
2987D4—24no—
2988D4—22no—
2989D4—22no—
2990D4—28no—
2991D4—24no—
2992D4—24no—
2993D4—48no—
2994D4—416no—
2995D4—48no—
2996D4—416no—
2997D4—416no—
2998D4—416no—
2999D4—48no—
3000D4—44no—
3001D4—42no—
3002D4—42no—
3003D4—42no—
3004D4—44no—
3005D4—44no—
3006D4—416no—
3007D4—416no—
3008D4—42no—
3009D4—42no—
3010D4—48no—
3011D4—44no—
3012D4—48no—
3013D4—88no—
3014D4—88no—
3015D4—832no—
3016D4—832no—
3017D4—88no—
3018D4—88no—
3019D4—84no—
3020D4—88no—
3021D4—832no—
3022D4—816no—
3023D4—88no—
3024D4—816no—
3025D4—816no—
3026D4—88no—
3027D4—88no—
3028D4—88no—
3029D4—84no—
3030D4—168no—
3031D4—168no—
3032D4—1616no—
3033D4—164no—
3034D4—168no—
3035D4—1616no—
3036D4—328no—
3037D4#348414yescomplemented
3038C2×C4—216no—
3039C2×C4—28no—
3040C2×C4—22no—
3041C2×C4—22no—
3042C2×C4—28no—
3043C2×C4—22no—
3044C2×C4—22no—
3045C2×C4—22no—
3046C2×C4—22no—
3047C2×C4—22no—
3048C2×C4—22no—
3049C2×C4—24no—
3050C2×C4—22no—
3051C2×C4—24no—
3052C2×C4—216no—
3053C2×C4—216no—
3054C2×C4—24no—
3055C2×C4—24no—
3056C2×C4—24no—
3057C2×C4—24no—
3058C2×C4—24no—
3059C2×C4—24no—
3060C2×C4—24no—
3061C2×C4—22no—
3062C2×C4—24no—
3063C2×C4—22no—
3064C2×C4—24no—
3065C2×C4—24no—
3066C2×C4—24no—
3067C2×C4—22no—
3068C2×C4—22no—
3069C2×C4—22no—
3070C2×C4—22no—
3071C2×C4—22no—
3072C2×C4—22no—
3073C2×C4—22no—
3074C2×C4—22no—
3075C2×C4—44no—
3076C2×C4—48no—
3077C2×C4—48no—
3078C2×C4—44no—
3079C2×C4—48no—
3080C2×C4—41no—
3081C2×C4—41no—
3082C2×C4—41no—
3083C2×C4—41no—
3084C2×C4—42no—
3085C2×C4—42no—
3086C2×C4—48no—
3087C2×C4—48no—
3088C2×C4—48no—
3089C2×C4—48no—
3090C2×C4—48no—
3091C2×C4—44no—
3092C2×C4—44no—
3093C2×C4—44no—
3094C2×C4—44no—
3095C2×C4—44no—
3096C2×C4—42no—
3097C2×C4—42no—
3098C2×C4—44no—
3099C2×C4—42no—
3100C2×C4—42no—
3101C2×C4—44no—
3102C2×C4—44no—
3103C2×C4—44no—
3104C2×C4—42no—
3105C2×C4—42no—
3106C2×C4—42no—
3107C2×C4—42no—
3108C2×C4—84no—
3109C2×C4—88no—
3110C2×C4—88no—
3111C2×C4—88no—
3112C2×C4—88no—
3113C2×C4—88no—
3114C2×C4—88no—
3115C2×C4—88no—
3116C2×C4—816no—
3117C2×C4—84no—
3118C2×C4—88no—
3119C2×C4—88no—
3120C2×C4—88no—
3121C2×C4—164no—
3122C2×C4—168no—
3123C2×C4—1616no—
3124C2×C4#3264116yescomplemented
3125C2×C4C2×D4212yes—
3126C2×C4C2×D4212yes—
3127C2×C4C2×D4212yes—
3128C2×C4C2×D4212yes—
3129C2×C4C2×D4212yes—
3130C2×C4#348814yes—
3131C2×C4C22×AGL(1,ℤ/8)14yes—
3132C2×C4C22×AGL(1,ℤ/8)12yes—
3133C2×C4C22×AGL(1,ℤ/8)12yes—
3134C2×C4C2×#57612yes—
3135C2×C4C2×#57612yes—
3136C2×C4C24×D411yescharacteristic
3137C2×C4C22×H(5,𝔽2)12yes—
3138C2×C4C22×H(5,𝔽2)11yescharacteristic
3139C2×C4C2×#58512yes—
3140C8—28no—
3141C8—44no—
3142C8—42no—
3143C8—42no—
3144C8—44no—
3145C22—232no—
3146C22—24no—
3147C22—24no—
3148C22—22no—
3149C22—24no—
3150C22—24no—
3151C22—24no—
3152C22—22no—
3153C22—24no—
3154C22—24no—
3155C22—24no—
3156C22—24no—
3157C22—44no—
3158C22—42no—
3159C22—42no—
3160C22—44no—
3161C22—44no—
3162C22—44no—
3163C22—42no—
3164C22—42no—
3165C22—44no—
3166C22—48no—
3167C22—42no—
3168C22—42no—
3169C22—48no—
3170C22—42no—
3171C22—48no—
3172C22—42no—
3173C22—44no—
3174C22—44no—
3175C22—832no—
3176C22—816no—
3177C22—832no—
3178C22—816no—
3179C22—88no—
3180C22—82no—
3181C22—82no—
3182C22—82no—
3183C22—82no—
3184C22—82no—
3185C22—82no—
3186C22—88no—
3187C22—84no—
3188C22—88no—
3189C22—84no—
3190C22—82no—
3191C22—82no—
3192C22—84no—
3193C22—84no—
3194C22—82no—
3195C22—84no—
3196C22—88no—
3197C22—1616no—
3198C22—1664no—
3199C22—1616no—
3200C22—3216no—
3201C22C2×#326414yes—
3202C22#6195918yescomplemented
3203C22C22×D4211yescharacteristic
3204C22C2×#348812yes—
3205C22C23×AGL(1,ℤ/8)11yescharacteristic
3206C22C22×#57611yescharacteristic
3207C22C2×#358512yes—
3208C4—22no—
3209C4—24no—
3210C4—24no—
3211C4—22no—
3212C4—22no—
3213C4—44no—
3214C4—42no—
3215C4—42no—
3216C4—42no—
3217C4—42no—
3218C4—42no—
3219C4—42no—
3220C4—44no—
3221C4—84no—
3222C4—82no—
3223C4—82no—
3224C4—82no—
3225C4—82no—
3226C4—84no—
3227C4C2×#326414yes—
3228C4C2×#326414yes—
3229C4C2×#348411yescharacteristic
3230C4#6281111yescharacteristic
3231C4#6281812yes—
3232C2—28no—
3233C2—24no—
3234C2—44no—
3235C2—82no—
3236C2—84no—
3237C2—82no—
3238C2—88no—
3239C2—164no—
3240C2—162no—
3241C2#767187011yescharacteristic
3242C2C22×#326411yescharacteristic
3243C2#1057610811yescharacteristic
3244C2C2×#6195912yes—
3245C2#1057892512yes—
subgroupG/H
center, socleC23C24×D4
commutator, Frattini, cosocleC22×C4C26
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#525 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#61959C2semidirect
2. C23×#459C2semidirect
3. #7671946C2semidirect
4. #7629799C2semidirect
5. #7522135C2semidirect
6. #7521519C2semidirect
7. #7518832C2semidirect
8. #7518308C2semidirect
9. #6672692C2semidirect
10. #6671588C2semidirect
11. #6670292C2semidirect
12. #6668804C2semidirect
13. #6629271C2semidirect
14. #6576598C2semidirect
15. #6575386C2semidirect
16. #6574190C2semidirect
17. #6573477C2semidirect
18. #6520395C2semidirect
19. #6519605C2semidirect
20. #6513390C2semidirect
21. #6512747C2semidirect
22. #6491562C2semidirect
23. #6490982C2semidirect
24. #6487751C2semidirect
25. #6487420C2semidirect
26. #6388920C2semidirect
27. #6387961C2semidirect
28. C24×D8C22semidirect
29. C2×#3498C22semidirect
31. C2×#3475C22semidirect
33. C23×C4×D4C22semidirect
35. C2×#3397C22semidirect
36. C2×#3366C22semidirect
37. C2×#3325C22semidirect
38. C2×#3310C22semidirect
39. C2×#3272C22semidirect
40. C2×#3264C22semidirect
41. C2×#3264C22semidirect
42. C2×#3251C22semidirect
43. C2×#3246C22semidirect
44. C2×#3217C22semidirect
45. C2×#3208C22semidirect
46. C2×#3208C22semidirect
47. C2×#3115C22semidirect
48. C2×#3100C22semidirect
49. C2×#3100C22semidirect
50. C2×#3038C22semidirect
54. C22×#459C22semidirect
55. C22×#459C22semidirect
56. C22×#459C22semidirect
57. C22×#459C22semidirect
58. C22×#459C22semidirect
59. C22×#459C22semidirect
60. C22×#459C22semidirect
61. C22×#459C22semidirect
62. C2×#2989C22semidirect
63. C23×C4⋊C8C22semidirect
64. C23×#102C22semidirect
66. #59126C22semidirect
68. #59124C22semidirect
70. #39336C22semidirect
72. #36625C22semidirect
75. #36163C22semidirect
76. #36162C22semidirect
77. #36161C22semidirect
78. #36160C22semidirect
83. #36155C22semidirect
84. #36154C22semidirect
85. #36153C22semidirect
86. #36152C22semidirect
87. #36121C22semidirect
88. D4×#127C22semidirect
93. #35274C22semidirect
94. #35272C22semidirect
96. #34946C22semidirect
97. #34935C22semidirect
100. #34700C22semidirect
102. #34210C22semidirect
103. C4×#546C22semidirect
104. D4×#117C22semidirect
107. #33160C22semidirect
108. #33024C22semidirect
109. #33002C22semidirect
110. #33002C22semidirect
111. #32978C22semidirect
112. #32953C22semidirect
113. #32953C22semidirect
114. #32929C22semidirect
115. #32904C22semidirect
116. #32902C22semidirect
117. #32902C22semidirect
118. #32881C22semidirect
119. #32878C22semidirect
120. #31222C22semidirect
121. #31172C22semidirect
122. #31000C22semidirect
123. #30890C22semidirect
124. #30855C22semidirect
125. #30749C22semidirect
126. #30605C22semidirect
127. #30460C22semidirect
128. #29824C22semidirect
129. #29794C22semidirect
130. #29774C22semidirect
131. #29662C22semidirect
132. #29625C22semidirect
133. #28472C22semidirect
134. #28448C22semidirect
135. #28413C22semidirect
136. #28383C22semidirect
137. #28344C22semidirect
138. #28253C22semidirect
139. #28158C22semidirect
140. #28107C22semidirect
141. #27264C22semidirect
142. #26954C22semidirect
143. #26612C22semidirect
144. #26178C22semidirect
145. #25960C22semidirect
146. #25930C22semidirect
147. #25855C22semidirect
148. #25788C22semidirect
149. #25788C22semidirect
150. #25754C22semidirect
151. #25717C22semidirect
152. #25628C22semidirect
153. #25572C22semidirect
154. #25392C22semidirect
155. #25380C22semidirect
156. #25367C22semidirect
157. #25321C22semidirect
158. #25300C22semidirect
159. #25174C22semidirect
160. #25128C22semidirect
161. #25097C22semidirect
162. #25080C22semidirect
163. #24873C22semidirect
164. #24838C22semidirect
165. #24836C22semidirect
166. #24758C22semidirect
167. #24753C22semidirect
168. #24751C22semidirect
169. #24744C22semidirect
170. #24726C22semidirect
171. #24658C22semidirect
172. #24626C22semidirect
173. #24527C22semidirect
174. #24476C22semidirect
175. #24432C22semidirect
176. #24372C22semidirect
177. #24355C22semidirect
178. #24355C22semidirect
179. #24354C22semidirect
180. #24354C22semidirect
181. #24272C22semidirect
182. #24272C22semidirect
183. #24236C22semidirect
184. #24211C22semidirect
185. #24211C22semidirect
186. #24208C22semidirect
187. #24184C22semidirect
188. #24150C22semidirect
189. #24032C22semidirect
190. #23966C22semidirect
191. #23851C22semidirect
192. #23851C22semidirect
193. #23848C22semidirect
194. #23848C22semidirect
195. #23099C22semidirect
196. #23001C22semidirect
197. #22989C22semidirect
198. #22956C22semidirect
199. #22854C22semidirect
200. #22750C22semidirect
201. #22648C22semidirect
202. #22562C22semidirect
203. #22436C22semidirect
204. #22436C22semidirect
205. #22423C22semidirect
206. #22151C22semidirect
207. #22069C22semidirect
208. #21972C22semidirect
209. #21959C22semidirect
210. #21885C22semidirect
211. #21884C22semidirect
212. #21847C22semidirect
213. #21803C22semidirect
214. #21803C22semidirect
215. #21503C22semidirect
216. C4×#447C22semidirect
217. C4×#447C22semidirect
218. #21440C22semidirect
219. #20732C22semidirect
220. #20732C22semidirect
221. #20714C22semidirect
222. #20547C22semidirect
229. C22×AGL(1,ℤ/8)C23semidirect
244. C2×#556C23semidirect
245. C2×#555C23semidirect
246. C2×#554C23semidirect
252. C2×#550C23semidirect
253. C2×#547C23semidirect
265. C2×D42C23semidirect
274. C2×#532C23semidirect
286. C22×#127C23semidirect
288. C2×#529C23semidirect
296. C2×C4×#41C23semidirect
328. C2×#496C23semidirect
329. C2×#496C23semidirect
330. C2×#492C23semidirect
331. C2×#492C23semidirect
332. C2×#490C23semidirect
333. C2×#486C23semidirect
334. C2×#486C23semidirect
338. C2×#482C23semidirect
341. C2×#475C23semidirect
342. C2×#478C23semidirect
343. C2×#476C23semidirect
344. C2×#474C23semidirect
345. C2×#474C23semidirect
346. C2×#474C23semidirect
347. C2×#469C23semidirect
348. C2×#469C23semidirect
349. C2×#468C23semidirect
353. C2×#460C23semidirect
354. C2×#460C23semidirect
355. C2×#460C23semidirect
356. C2×#460C23semidirect
357. C2×#460C23semidirect
358. C2×#463C23semidirect
359. C2×#463C23semidirect
360. C2×#461C23semidirect
370. C2×#459D4semidirect
387. C2×#459C23semidirect
388. C2×#459C23semidirect
389. C2×#459C23semidirect
390. C2×#459C23semidirect
391. C2×#459C23semidirect
392. C2×#449C23semidirect
393. C2×#449C23semidirect
398. C2×#450C23semidirect
403. C2×#447C23semidirect
404. C2×#447C23semidirect
406. C2×#446C23semidirect
407. C2×#442C23semidirect
408. C2×#442C23semidirect
409. C2×#440C23semidirect
410. C2×C4×D8C23semidirect
411. C2×C4×D8C23semidirect
412. C2×C4×D8C23semidirect
413. C2×#436C23semidirect
416. C2×#432C23semidirect
419. C2×#423C23semidirect
426. C2×#418C23semidirect
434. #2867C23semidirect
435. #2858C23semidirect
440. #2856C23semidirect
467. #2563C23semidirect
471. #2548C23semidirect
472. #2547C23semidirect
478. #2541C23semidirect
479. #2541C23semidirect
480. #2541C23semidirect
481. #2538C23semidirect
482. #2537C23semidirect
506. #2454C23semidirect
508. #2447C23semidirect
510. #2445C23semidirect
525. #2433C23semidirect
531. #2428C23semidirect
532. #2427C23semidirect
534. #2420C23semidirect
570. #2367C23semidirect
572. #2366C23semidirect
574. #2363C23semidirect
578. #2354C23semidirect
581. #2349C23semidirect
582. D4×C4⋊C4C23semidirect
586. #2339C23semidirect
596. C4×#127C23semidirect
597. C4×#124C23semidirect
610. C4×#121C23semidirect
619. #2293C23semidirect
640. C42×D4C23semidirect
643. #2092C23semidirect
644. #2088C23semidirect
645. #2073C23semidirect
646. #2067C23semidirect
647. #2066C23semidirect
648. #2065C23semidirect
649. #2065C23semidirect
650. #2055C23semidirect
651. #2055C23semidirect
652. #2054C23semidirect
653. #2054C23semidirect
654. #2054C23semidirect
655. #2041C23semidirect
656. #2041C23semidirect
657. #2041C23semidirect
658. #2041C23semidirect
659. #2034C23semidirect
660. #2033C23semidirect
661. #2025C23semidirect
662. #2014C23semidirect
663. #2014C23semidirect
664. #2014C23semidirect
665. #2012C23semidirect
666. #2012C23semidirect
667. #2012C23semidirect
668. #2011C23semidirect
669. #2011C23semidirect
670. #2011C23semidirect
671. #2000C23semidirect
672. #1999C23semidirect
673. #1999C23semidirect
674. #1999C23semidirect
675. #1988C23semidirect
676. #1987C23semidirect
677. #1984C23semidirect
678. #1982C23semidirect
679. #1982C23semidirect
680. #1982C23semidirect
681. #1982C23semidirect
682. #1982C23semidirect
683. #1981C23semidirect
684. #1973C23semidirect
685. #1972C23semidirect
686. #1972C23semidirect
687. #1972C23semidirect
688. #1961C23semidirect
689. #1957C23semidirect
690. #1957C23semidirect
691. #1954C23semidirect
692. #1948C23semidirect
693. #1948C23semidirect
694. #1940C23semidirect
695. #1939C23semidirect
696. #1936C23semidirect
697. #1936C23semidirect
698. #1926C23semidirect
699. #1925C23semidirect
700. #1924C23semidirect
701. #1917C23semidirect
702. #1895C23semidirect
707. #1880C23semidirect
708. #1879C23semidirect
709. #1879C23semidirect
710. #1879C23semidirect
711. #1879C23semidirect
712. #1879C23semidirect
713. #1879C23semidirect
714. #1879C23semidirect
715. #1879C23semidirect
716. #1879C23semidirect
717. #1879C23semidirect
718. #1877C23semidirect
719. #1875C23semidirect
724. #1864C23semidirect
725. #1862C23semidirect
726. #1862C23semidirect
727. #1862C23semidirect
728. #1862C23semidirect
729. #1862C23semidirect
732. #1851C23semidirect
735. #1842C23semidirect
736. #1831C23semidirect
742. #1804C23semidirect
743. #1803C23semidirect
744. #1802C23semidirect
745. #1802C23semidirect
746. #1802C23semidirect
747. #1802C23semidirect
748. #1802C23semidirect
751. #1797C23semidirect
760. #1786C23semidirect
762. #1770C23semidirect
763. #1767C23semidirect
764. #1762C23semidirect
765. C4×#102C23semidirect
766. C4×#102C23semidirect
767. C4×#102C23semidirect
856. C22×D8C2×D4semidirect
1105. C2×C4×D4C2×D4semidirect
1227. #459C2×D4semidirect
1228. #459C2×D4semidirect
1229. #459C2×D4semidirect
1230. #459C2×D4semidirect
1267. C2×C4⋊C8C2×D4semidirect
1286. C2×#102C2×D4semidirect
1733. C22×D4H(5,𝔽2)semidirect
1796. C23×C4AGL(1,ℤ/8)semidirect
3037. D4#3484semidirect
3124. C2×C4#3264semidirect
3202. C22#61959semidirect

Maximal subgroups

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

subgroupindex
C2×#619592
C23×#4592
#76719462
#76297992
#75221352
#75215192
#75188322
#75183082
#66726922
#66715882
#66702922
#66688042
#66292712
#65765982
#65753862
#65741902
#65734772
#65203952
#65196052
#65133902
#65127472
#64915622
#64909822
#64877512
#64874202
#63889202
#63879612