Finite Group Databasebeta

← #26005287

Subgroups — #26005287

Order 11008.

7274 conjugacy classes of subgroups.

The subgroup lattice has 2464 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149144C212yesmaximal, complemented
2#19149139C214yesmaximal, complemented
3#19149137C212yesmaximal, complemented
4#19149124C212yesmaximal, complemented
5#19149122C212yesmaximal, complemented
6#19149109C212yesmaximal, complemented
7#19149107C212yesmaximal, complemented
8#19148942C214yesmaximal, complemented
9#19148931C212yesmaximal, complemented
10#19148920C212yesmaximal, complemented
11#19148673C212yesmaximal, complemented
12#19148672C212yesmaximal, complemented
13#19148621C212yesmaximal, complemented
14#19148614C212yesmaximal, complemented
15#19148530C212yesmaximal, complemented
16#19148528C214yesmaximal, complemented
17#19148520C212yesmaximal, complemented
18#19148434C211yesmaximal, characteristic, complemented
19#19148432C212yesmaximal, complemented
20#19148429C211yesmaximal, characteristic, complemented
21#19148354C212yesmaximal, complemented
22#19148352C211yesmaximal, characteristic, complemented
23#19148325C212yesmaximal, complemented
24#19148324C212yesmaximal, complemented
25#19148317C214yesmaximal, complemented
26#19148236C212yesmaximal, complemented
27#19148235C212yesmaximal, complemented
28C2×#14583444C211yesmaximal, characteristic, complemented
29C2×#14583430C211yesmaximal, characteristic, complemented
30C2×#14583429C211yesmaximal, characteristic, complemented
31C43×#3496C211yesmaximal, characteristic, complemented
32C2×#13063370C2212yescomplemented
33C22×#10621900C2212yescomplemented
34#14583652C2214yescomplemented
35#14583650C2214yescomplemented
36#14583650C2214yescomplemented
37#14583646C2214yescomplemented
38#14583644C2214yescomplemented
39#14583642C2214yescomplemented
40#14583638C2214yescomplemented
41#14583637C2214yescomplemented
42#14583635C2212yescomplemented
43#14583633C2214yescomplemented
44#14583632C2212yescomplemented
45#14583632C2212yescomplemented
46#14583629C2212yescomplemented
47#14583613C2214yescomplemented
48#14583613C2212yescomplemented
49#14583611C2214yescomplemented
50#14583610C2212yescomplemented
51#14583608C2212yescomplemented
52#14583608C2212yescomplemented
53#14583604C2212yescomplemented
54#14583603C2214yescomplemented
55#14583601C2214yescomplemented
56#14583601C2212yescomplemented
57#14583598C2214yescomplemented
58#14583598C2214yescomplemented
59#14583597C2212yescomplemented
60#14583596C2214yescomplemented
61#14583596C2212yescomplemented
62#14583595C2212yescomplemented
63#14583594C2214yescomplemented
64#14583592C2214yescomplemented
65#14583592C2214yescomplemented
66#14583592C2214yescomplemented
67#14583592C2214yescomplemented
68#14583592C2214yescomplemented
69#14583589C2212yescomplemented
70#14583586C2214yescomplemented
71#14583584C2212yescomplemented
72#14583580C2214yescomplemented
73#14583580C2214yescomplemented
74#14583579C2214yescomplemented
75#14583578C2214yescomplemented
76#14583578C2214yescomplemented
77#14583576C2214yescomplemented
78#14583575C2214yescomplemented
79#14583575C2214yescomplemented
80#14583575C2214yescomplemented
81#14583572C2214yescomplemented
82#14583569C2212yescomplemented
83#14583567C2212yescomplemented
84#14583558C2212yescomplemented
85#14583555C2214yescomplemented
86#14583555C2212yescomplemented
87#14583550C2212yescomplemented
88#14583549C2214yescomplemented
89#14583549C2212yescomplemented
90#14583549C2214yescomplemented
91#14583548C2214yescomplemented
92#14583548C2214yescomplemented
93#14583548C2214yescomplemented
94#14583548C2214yescomplemented
95#14583548C2214yescomplemented
96#14583548C2214yescomplemented
97#14583547C2214yescomplemented
98#14583547C2214yescomplemented
99#14583546C2212yescomplemented
100#14583545C2212yescomplemented
101#14583543C2214yescomplemented
102#14583543C2214yescomplemented
103#14583543C2214yescomplemented
104#14583543C2212yescomplemented
105#14583543C2214yescomplemented
106#14583543C2214yescomplemented
107#14583543C2214yescomplemented
108#14583543C2212yescomplemented
109#14583539C2214yescomplemented
110#14583538C2214yescomplemented
111#14583538C2214yescomplemented
112#14583538C2214yescomplemented
113#14583537C2214yescomplemented
114#14583537C2214yescomplemented
115#14583536C2214yescomplemented
116#14583536C2214yescomplemented
117#14583536C2214yescomplemented
118#14583536C2214yescomplemented
119#14583533C2212yescomplemented
120D4×C22⋊D43C2214yescomplemented
121D4×C22⋊D43C2212yescomplemented
122D4×C22⋊D43C2214yescomplemented
123D4×C22⋊D43C2212yescomplemented
124#14583530C2212yescomplemented
125#14583528C2214yescomplemented
126#14583526C2212yescomplemented
127#14583523C2212yescomplemented
128#14583519C2214yescomplemented
129#14583517C2214yescomplemented
130#14583517C2214yescomplemented
131#14583516C2212yescomplemented
132#14583516C2212yescomplemented
133#14583514C2212yescomplemented
134#14583514C2214yescomplemented
135#14583513C2214yescomplemented
136#14583513C2214yescomplemented
137#14583503C2212yescomplemented
138#14583502C2212yescomplemented
139#14583502C2212yescomplemented
140#14583500C2212yescomplemented
141#14583499C2214yescomplemented
142#14583499C2214yescomplemented
143#14583498C2214yescomplemented
144#14583496C2212yescomplemented
145#14583495C2214yescomplemented
146#14583494C2212yescomplemented
147#14583494C2214yescomplemented
148#14583493C2214yescomplemented
149#14583492C2214yescomplemented
150#14583487C2212yescomplemented
151#14583487C2214yescomplemented
152#14583486C2212yescomplemented
153#14583486C2214yescomplemented
154#14583485C2214yescomplemented
155#14583484C2214yescomplemented
156#14583484C2214yescomplemented
157#14583484C2214yescomplemented
158#14583484C2214yescomplemented
159#14583481C2214yescomplemented
160#14583481C2214yescomplemented
161#14583477C2214yescomplemented
162#14583476C2212yescomplemented
163#14583471C2214yescomplemented
164#14583470C2214yescomplemented
165#14583466C2212yescomplemented
166#14583464C2214yescomplemented
167#14583462C2212yescomplemented
168#14583459C2214yescomplemented
169#14583458C2214yescomplemented
170#14583458C2212yescomplemented
171#14583458C2212yescomplemented
172#14583458C2212yescomplemented
173#14583458C2214yescomplemented
174#14583457C2212yescomplemented
175#14583445C2214yescomplemented
176#14583444C2212yescomplemented
177#14583444C2212yescomplemented
178#14583444C2212yescomplemented
179#14583444C2212yescomplemented
180#14583444C2212yescomplemented
181#14583444C2212yescomplemented
182#14583444C2212yescomplemented
183#14583444C2212yescomplemented
184#14583444C2212yescomplemented
185C2×#13063324C2211yescharacteristic, complemented
186C2×#13063321C2211yescharacteristic, complemented
187#14583433C2212yescomplemented
188#14583430C2212yescomplemented
189#14583430C2212yescomplemented
190#14583430C2212yescomplemented
191#14583430C2212yescomplemented
192#14583430C2212yescomplemented
193#14583430C2212yescomplemented
194#14583430C2212yescomplemented
195#14583430C2212yescomplemented
196#14583430C2212yescomplemented
197#14583429C2212yescomplemented
198#14583429C2212yescomplemented
199#14583429C2212yescomplemented
200#14583429C2212yescomplemented
201#14583429C2212yescomplemented
202#14583429C2212yescomplemented
203#14583429C2212yescomplemented
204#14583429C2212yescomplemented
205#14583426C2214yescomplemented
206C2×#13063320C2211yescharacteristic, complemented
207C2×#13063318C2211yescharacteristic, complemented
208C2×#13063318C2212yescomplemented
209C2×#13063316C2211yescharacteristic, complemented
210C2×#13063315C2211yescharacteristic, complemented
211C2×#13063312C2211yescharacteristic, complemented
212C2×#13063311C2211yescharacteristic, complemented
213C2×#13063311C2212yescomplemented
214#14583410C2212yescomplemented
215#14583409C2212yescomplemented
216#14583406C2214yescomplemented
217#14583405C2214yescomplemented
218#14583405C2214yescomplemented
219C2×#13063309C2211yescharacteristic, complemented
220C2×#13063306C2211yescharacteristic, complemented
221C2×#13063306C2212yescomplemented
222C2×#13063306C2214yescomplemented
223#123×D43C2214yescomplemented
224C2×#13063304C2211yescharacteristic, complemented
225C2×#13063302C2211yescharacteristic, complemented
226C2×#13063299C2211yescharacteristic, complemented
227C2×#13063297C2211yescharacteristic
228C2×#13063297C2214yescomplemented
229C2×#13063297C2212yescomplemented
230#121×D43C2212yescomplemented
231#14583380C2212yescomplemented
232#14583378C2214yescomplemented
233#14583378C2212yescomplemented
234#14583374C2212yescomplemented
235#14583374C2212yescomplemented
236#14583372C2214yescomplemented
237#14583372C2212yescomplemented
238#14583371C2212yescomplemented
239C2×C4×Dic86C2211yescharacteristic, complemented
240C2×#13063290C2211yescharacteristic, complemented
241C2×D4×Dic43C2212yescomplemented
242C2×D4×Dic43C2211yescharacteristic, complemented
243C2×D4×Dic43C2211yescharacteristic, complemented
244C2×#13063287C2211yescharacteristic, complemented
245C2×C4×C22⋊D43C2211yescharacteristic, complemented
246C2×C4×C22⋊D43C2211yescharacteristic, complemented
247C2×(C22⋊D43)⋊C4C2212yescomplemented
248C2×#13063284C2211yescharacteristic, complemented
249C2×#13063282C2211yescharacteristic, complemented
250C2×#13063281C2212yescomplemented
251C22×C4×Dic43C2211yescharacteristic, complemented
252C2×H(5,𝔽2)×C43C2212yescomplemented
253C43×#547C2212yescomplemented
254C43×#547C2212yescomplemented
255C43×#546C2214yescomplemented
256C43×#546C2214yescomplemented
257D42×C43C2212yescomplemented
258D42×C43C2212yescomplemented
259C43×#537C2212yescomplemented
260C43×#534C2212yescomplemented
261C43×#534C2212yescomplemented
262C43×#532C2212yescomplemented
263C2×#121×C43C2211yescharacteristic
264C2×#121×C43C2212yescomplemented
265C2×#121×C43C2211yescharacteristic, complemented
266C2×C4×D4×C43C2211yescharacteristic, complemented
267#13063370—48no—
268C2×#10621898C2312yes—
269C2×#10621898C2314yes—
270C2×#10621900—48no—
271C2×#10621900C2312yes—
272C2×#10621900C2314yes—
273C2×#10621900C2314yes—
274C2×#10621900C2314yes—
275C2×#10621900C2314yes—
276C2×#10621900C2314yes—
277C2×#10621900C2314yes—
278C2×#10621900C2314yes—
279C22×Dic86C2311yescharacteristic
280C22×Dic86C2311yescharacteristic
281C22×Dic86C2312yes—
282C22×D172C2311yescharacteristic
283C22×C22⋊D43C2311yescharacteristic
284C22×C22⋊D43C2312yes—
285C22×C22⋊D43C2312yes—
286C22×C22⋊D43C2311yescharacteristic
287C22×C22⋊D43C2314yes—
288C22×C22⋊D43C2314yes—
289C22×C22⋊D43C2312yes—
290C2×D4×D43C2312yes—
291C2×D4×D43C2314yes—
292C2×D4×D43C2314yes—
293C23×Dic43C2311yescharacteristic
294C23×Dic43C2311yescharacteristic
295C23×Dic43C2312yes—
296C23×Dic43C2312yes—
297C22×C4×D43C2311yescharacteristic
298C22×C4×D43C2312yes—
299#13063324C2312yes—
300#13063324C2312yes—
301#13063324C2314yes—
302#13063324C2314yes—
303#13063324C2312yes—
304#13063324C2312yes—
305#13063324C2312yes—
306#13063323C2314yes—
307#13063323C2314yes—
308#13063323C2314yes—
309#13063321C2312yes—
310#13063321C2314yes—
311#13063321C2312yes—
312#13063321C2312yes—
313#13063321C2312yes—
314#13063321C2312yes—
315#13063320C2314yes—
316#13063320C2314yes—
317#13063320C2312yes—
318#13063320C2314yes—
319#13063320C2314yes—
320#13063320C2312yes—
321#13063320C2312yes—
322#13063320C2312yes—
323#13063319C2314yes—
324#13063318C2314yes—
325#13063318C2314yes—
326#13063318C2314yes—
327#13063318C2314yes—
328#13063318C2314yes—
329#13063318C2314yes—
330#13063318C2312yes—
331#13063318C2314yes—
332#13063318C2314yes—
333#13063318C2314yes—
334#13063318C2312yes—
335#13063318C2312yes—
336#13063318C2312yes—
337#13063318C2314yes—
338#13063318C2314yes—
339#13063317C2312yes—
340#13063316C2312yes—
341#13063316C2314yes—
342#13063316C2312yes—
343#13063316C2312yes—
344#13063316C2312yes—
345#13063316C2312yes—
346#13063315C2314yes—
347#13063315C2314yes—
348#13063315C2314yes—
349#13063315C2314yes—
350#13063315C2312yes—
351#13063315C2312yes—
352#13063315C2312yes—
353#13063315C2312yes—
354#13063314C2314yes—
355#13063313C2312yes—
356#13063312C2314yes—
357#13063312C2312yes—
358#13063312C2314yes—
359#13063312C2314yes—
360#13063312C2314yes—
361#13063312C2312yes—
362#13063312C2312yes—
363#13063312C2312yes—
364#13063312C2312yes—
365#13063311C2314yes—
366#13063311C2314yes—
367#13063311C2314yes—
368#13063311C2314yes—
369#13063311C2314yes—
370#13063311C2314yes—
371#13063311C2314yes—
372#13063311C2314yes—
373#13063311C2312yes—
374#13063311C2312yes—
375#13063311C2314yes—
376#13063311C2312yes—
377#13063311C2312yes—
378#13063311C2314yes—
379#13063311C2314yes—
380#13063310C2314yes—
381#13063310C2314yes—
382#13063310C2314yes—
383#13063310C2314yes—
384#13063309C2314yes—
385#13063309C2314yes—
386#13063309C2314yes—
387#13063309C2312yes—
388#13063309C2312yes—
389#13063309C2312yes—
390#13063309C2312yes—
391#13063308C2314yes—
392#13063308C2314yes—
393#13063308C2314yes—
394#13063308C2314yes—
395#13063308C2314yes—
396#13063308C2314yes—
397#13063308C2314yes—
398#13063308C2314yes—
399#13063307C2314yes—
400#13063307C2314yes—
401#13063307C2314yes—
402#13063307C2314yes—
403#13063307C2314yes—
404#13063307C2314yes—
405#13063307C2314yes—
406#13063307C2314yes—
407#13063307C2314yes—
408#13063306C2314yes—
409#13063306C2314yes—
410#13063306C2314yes—
411#13063306C2314yes—
412#13063306C2314yes—
413#13063306C2314yes—
414#13063306C2314yes—
415#13063306C2314yes—
416#13063306C2314yes—
417#13063306C2314yes—
418#13063306C2314yes—
419#13063306C2314yes—
420#13063306C2312yes—
421#13063306C2312yes—
422#13063306C2312yes—
423#13063306C2312yes—
424#13063306C2314yes—
425#13063306C2314yes—
426#13063306C2314yes—
427#13063306C2314yes—
428#13063305C2314yes—
429#13063305C2312yes—
430#13063304C2312yes—
431#13063304C2312yes—
432#13063304C2314yes—
433#13063304C2314yes—
434#13063304C2314yes—
435#13063304C2312yes—
436#13063304C2314yes—
437#13063304C2314yes—
438#13063304C2314yes—
439#13063304C2312yes—
440#13063304C2312yes—
441#13063303C2314yes—
442#13063303C2314yes—
443#13063303C2314yes—
444#13063303C2314yes—
445#13063302C2314yes—
446#13063302C2314yes—
447#13063302C2314yes—
448#13063302C2312yes—
449#13063302C2314yes—
450#13063302C2314yes—
451#13063302C2314yes—
452#13063302C2314yes—
453#13063302C2312yes—
454#13063302C2314yes—
455#13063302C2312yes—
456#13063302C2312yes—
457#13063301C2314yes—
458#13063301C2314yes—
459#13063301C2314yes—
460#13063301C2314yes—
461#13063300C2312yes—
462#13063299C2312yes—
463#13063299C2312yes—
464#13063299C2314yes—
465#13063299C2312yes—
466#13063299C2314yes—
467#13063299C2312yes—
468#13063299C2312yes—
469#13063298C2314yes—
470#13063298C2314yes—
471#13063298C2314yes—
472#13063298C2314yes—
473#13063298C2314yes—
474#13063297C2314yes—
475#13063297C2314yes—
476#13063297C2314yes—
477#13063297C2314yes—
478#13063297C2314yes—
479#13063297C2314yes—
480#13063297C2314yes—
481#13063297C2314yes—
482#13063297C2314yes—
483#13063297C2314yes—
484#13063297C2314yes—
485#13063297C2314yes—
486#13063297C2314yes—
487#13063297C2314yes—
488#13063297C2314yes—
489#13063297C2314yes—
490#13063297C2314yes—
491#13063297C2314yes—
492#13063297C2314yes—
493#13063297C2314yes—
494#13063297C2314yes—
495#13063297C2314yes—
496#13063297C2312yes—
497#13063297C2312yes—
498#13063297C2312yes—
499#13063297C2312yes—
500#13063297C2314yes—
501#13063297C2314yes—
502#13063296C2314yes—
503#13063296C2314yes—
504#13063296C2314yes—
505#13063296C2312yes—
506#13063296C2314yes—
507#13063296C2314yes—
508#13063296C2314yes—
509#13063296C2312yes—
510#13063296C2314yes—
511#13063295C2314yes—
512#13063294C2314yes—
513#13063294C2314yes—
514#13063294C2314yes—
515#13063294C2314yes—
516#13063294C2314yes—
517#13063294C2314yes—
518#13063294C2314yes—
519#13063293C2314yes—
520#13063293C2314yes—
521#13063293C2314yes—
522#13063293C2314yes—
523#13063293C2314yes—
524#13063293C2314yes—
525#13063293C2314yes—
526#13063293C2314yes—
527C4×Dic86C2312yes—
528C4×Dic86C2312yes—
529C4×Dic86C2312yes—
530C4×Dic86C2312yes—
531C4×Dic86C2312yes—
532#13063290C2312yes—
533#13063290C2314yes—
534#13063290C2312yes—
535#13063290C2312yes—
536#13063290C2312yes—
537#13063290C2312yes—
538C4×D172C2312yes—
539D4×Dic43C2314yes—
540D4×Dic43C2314yes—
541D4×Dic43C2314yes—
542D4×Dic43C2312yes—
543D4×Dic43C2312yes—
544D4×Dic43C2314yes—
545D4×Dic43C2312yes—
546D4×Dic43C2314yes—
547D4×Dic43C2314yes—
548D4×Dic43C2314yes—
549D4×Dic43C2312yes—
550D4×Dic43C2314yes—
551D4×Dic43C2314yes—
552D4×Dic43C2314yes—
553D4×Dic43C2314yes—
554D4×Dic43C2312yes—
555D4×Dic43C2312yes—
556D4×Dic43C2312yes—
557D4×Dic43C2312yes—
558D4×Dic43C2312yes—
559D4×Dic43C2312yes—
560#13063287C2312yes—
561#13063287C2312yes—
562#13063287C2312yes—
563#13063287C2312yes—
564#13063287C2312yes—
565C4×C22⋊D43C2314yes—
566C4×C22⋊D43C2312yes—
567C4×C22⋊D43C2312yes—
568C4×C22⋊D43C2312yes—
569C4×C22⋊D43C2314yes—
570C4×C22⋊D43C2314yes—
571C4×C22⋊D43C2314yes—
572C4×C22⋊D43C2314yes—
573C4×C22⋊D43C2314yes—
574C4×C22⋊D43C2312yes—
575C4×C22⋊D43C2312yes—
576C4×C22⋊D43C2314yes—
577C4×C22⋊D43C2314yes—
578C4×C22⋊D43C2314yes—
579C4×C22⋊D43C2312yes—
580C4×C22⋊D43C2314yes—
581C4×C22⋊D43C2314yes—
582C4×C22⋊D43C2312yes—
583C4×C22⋊D43C2312yes—
584(C22⋊D43)⋊C4C2314yes—
585(C22⋊D43)⋊C4C2314yes—
586(C22⋊D43)⋊C4C2314yes—
587(C22⋊D43)⋊C4C2314yes—
588(C22⋊D43)⋊C4C2314yes—
589(C22⋊D43)⋊C4C2314yes—
590(C22⋊D43)⋊C4C2314yes—
591(C22⋊D43)⋊C4C2314yes—
592(C22⋊D43)⋊C4C2314yes—
593(C22⋊D43)⋊C4C2314yes—
594(C22⋊D43)⋊C4C2314yes—
595(C22⋊D43)⋊C4C2314yes—
596#13063284C2314yes—
597#13063284C2312yes—
598#13063284C2312yes—
599#13063284C2312yes—
600#13063284C2312yes—
601#13063284C2312yes—
602#13063283C2314yes—
603#13063283C2312yes—
604#13063282C2312yes—
605#13063282C2314yes—
606#13063282C2312yes—
607#13063282C2312yes—
608#13063282C2312yes—
609#13063281C2314yes—
610#13063281C2314yes—
611#13063281C2314yes—
612#13063281C2314yes—
613#13063281C2314yes—
614#13063281C2314yes—
615#13063281C2314yes—
616#13063281C2314yes—
617C2×C4⋊Dic43C2311yescharacteristic
618C2×C4⋊Dic43C2311yescharacteristic
619C2×C4⋊Dic43C2311yescharacteristic
620C2×C4⋊Dic43C2311yescharacteristic
621C2×C4⋊Dic43C2312yes—
622C2×C4⋊Dic43C2311yescharacteristic
623C2×Dic43⋊C4C2312yes—
624C2×Dic43⋊C4C2311yescharacteristic
625C2×Dic43⋊C4C2311yescharacteristic
626C2×Dic43⋊C4C2312yes—
627C2×Dic43⋊C4C2314yes—
628C2×Dic43⋊C4C2314yes—
629C2×Dic43⋊C4C2314yes—
630C2×Dic43⋊C4C2312yes—
631C2×Dic43⋊C4C2311yescharacteristic
632C2×Dic43⋊C4C2311yescharacteristic
633C2×Dic43⋊C4C2312yes—
634C2×Dic43⋊C4C2311yescharacteristic
635C2×Dic43⋊C4C2311yescharacteristic
636C4⋊C4×D43C2314yes—
637C4⋊C4×D43C2314yes—
638C4⋊C4×D43C2312yes—
639C2×C22⋊Dic43C2314yes—
640C2×C22⋊Dic43C2314yes—
641C2×C22⋊Dic43C2314yes—
642C2×C22⋊Dic43C2312yes—
643C2×C22⋊Dic43C2314yes—
644C2×C22⋊Dic43C2312yes—
645C2×C22⋊Dic43C2311yescharacteristic
646C2×C22⋊Dic43C2311yescharacteristic
647C2×C22⋊Dic43C2311yescharacteristic
648C2×C22⋊Dic43C2311yescharacteristic
649C2×C22⋊Dic43C2312yes—
650C2×C22⋊Dic43C2312yes—
651C2×C22⋊Dic43C2312yes—
652C2×(C2×D43)⋊C4C2312yes—
653C2×(C2×D43)⋊C4C2314yes—
654C2×(C2×D43)⋊C4C2312yes—
655C2×(C2×D43)⋊C4C2311yescharacteristic
656C2×(C2×D43)⋊C4C2311yescharacteristic
657C2×(C2×D43)⋊C4C2311yescharacteristic
658C2×(C2×D43)⋊C4C2311yescharacteristic
659C22⋊C4×D43C2314yes—
660C22⋊C4×D43C2314yes—
661C22⋊C4×D43C2314yes—
662C22⋊C4×D43C2314yes—
663C2×C4×Dic43C2311yescharacteristic
664C2×C4×Dic43C2311yescharacteristic
665C2×C4×Dic43C2311yescharacteristic
666C2×C4×Dic43C2311yescharacteristic
667C2×C4×Dic43C2311yescharacteristic
668C2×C4×Dic43C2311yescharacteristic
669C2×C4×Dic43C2311yescharacteristic
670C2×C4×Dic43C2311yescharacteristic
671C2×C4×Dic43C2311yescharacteristic
672C2×C4×Dic43C2311yescharacteristic
673C2×C4×Dic43C2311yescharacteristic
674C2×C4×Dic43C2311yescharacteristic
675C2×C4×Dic43C2312yes—
676C2×C4×Dic43C2311yescharacteristic
677H(5,𝔽2)×C43—48no—
678C2×#41×C43C2314yes—
679C2×#41×C43C2314yes—
680C2×#41×C43C2314yes—
681C22×D4×C43C2311yescharacteristic
682C22×D4×C43C2312yes—
683C22×D4×C43C2312yes—
684C22×D4×C43C2311yescharacteristic
685C22×D4×C43C2314yes—
686C22×D4×C43C2311yescharacteristic
687C22×D4×C43C2312yes—
688C22×D4×C43C2314yes—
689C22×D4×C43C2314yes—
690C23×C4×C43C2311yescharacteristic
691C23×C4×C43C2311yescharacteristic
692C4⋊Q8×C43C2312yes—
693#127×C43C2312yes—
694#124×C43C2314yes—
695#123×C43C2314yes—
696#123×C43C2314yes—
697#123×C43C2314yes—
698#123×C43C2314yes—
699C22⋊Q8×C43C2314yes—
700C22⋊Q8×C43C2314yes—
701#121×C43C2312yes—
702#121×C43C2314yes—
703#121×C43C2312yes—
704#121×C43C2312yes—
705#121×C43C2312yes—
706#121×C43C2312yes—
707#121×C43C2312yes—
708#121×C43C2312yes—
709#121×C43C2314yes—
710#121×C43C2312yes—
711#121×C43C2312yes—
712#121×C43C2314yes—
713#121×C43C2312yes—
714#121×C43C2314yes—
715#121×C43C2314yes—
716#120×C43C2314yes—
717#120×C43C2314yes—
718#120×C43C2314yes—
719#120×C43C2314yes—
720C4×D4×C43C2312yes—
721C4×D4×C43C2312yes—
722C4×D4×C43C2312yes—
723C4×D4×C43C2312yes—
724C4×D4×C43C2314yes—
725C4×D4×C43C2312yes—
726C4×D4×C43C2312yes—
727C2×C4⋊C4×C43C2311yescharacteristic
728C2×C4⋊C4×C43C2311yescharacteristic
729C2×C4⋊C4×C43C2311yescharacteristic
730C2×C4⋊C4×C43C2312yes—
731C2×C22⋊C4×C43C2311yescharacteristic
732C2×C22⋊C4×C43C2311yescharacteristic
733C2×C22⋊C4×C43C2312yes—
734C2×C22⋊C4×C43C2314yes—
735C2×C22⋊C4×C43C2312yes—
736C2×C42×C43C2311yescharacteristic
737C24×C43C2412yes—
738C24×C43C2412yes—
739C24×C43C2411yescharacteristic
740C24×C43C2414yes—
741C24×C43C2411yescharacteristic
742C23×D43C2412yes—
743C23×D43C2411yescharacteristic
744C23×D43C2414yes—
745#41×C43—48no—
746#41×C43—48no—
747#41×C43—48no—
748C2×Q8×C43C2414yes—
749C2×D4×C43—24no—
750C2×D4×C43—28no—
751C2×D4×C43—28no—
752C2×D4×C43—48no—
753C2×D4×C43—48no—
754C2×D4×C43—48no—
755C2×D4×C43—42no—
756C2×D4×C43—42no—
757C2×D4×C43—44no—
758C2×D4×C43C2412yes—
759C2×D4×C43C2412yes—
760C2×D4×C43C2412yes—
761C2×D4×C43C2412yes—
762C2×D4×C43C2414yes—
763C2×D4×C43C2414yes—
764C2×D4×C43C2414yes—
765C2×D4×C43C2414yes—
766C2×D4×C43C2414yes—
767C2×D4×C43C2412yes—
768C2×D4×C43C2414yes—
769C2×D4×C43C2412yes—
770C2×D4×C43C2414yes—
771C2×D4×C43C2414yes—
772C2×D4×C43C2414yes—
773C22×C4×C43—42no—
774C22×C4×C43—42no—
775C22×C4×C43C2411yescharacteristic
776C22×C4×C43C2411yescharacteristic
777C22×C4×C43C2412yes—
778C22×C4×C43C2412yes—
779C22×C4×C43C2411yescharacteristic
780C22×C4×C43C2411yescharacteristic
781C22×C4×C43C2412yes—
782C22×C4×C43C2411yescharacteristic
783C22×C4×C43C2411yescharacteristic
784C22×C4×C43C2411yescharacteristic
785C22×C4×C43C2412yes—
786C22×C4×C43C2411yescharacteristic
787C22×C4×C43C2411yescharacteristic
788C22×C4×C43C2414yes—
789C22×C4×C43C2414yes—
790C22×C4×C43C2414yes—
791C2×C22⋊D43—28no—
792C2×C22⋊D43—24no—
793C2×C22⋊D43—44no—
794C2×C22⋊D43—48no—
795C2×C22⋊D43—42no—
796C2×C22⋊D43—44no—
797C2×C22⋊D43—48no—
798C2×C22⋊D43C2414yes—
799C2×C22⋊D43C2414yes—
800C2×C22⋊D43C2412yes—
801C2×C22⋊D43C2412yes—
802C2×C22⋊D43C2414yes—
803C2×C22⋊D43C2412yes—
804C2×C22⋊D43C2414yes—
805C2×C22⋊D43C2414yes—
806C2×C22⋊D43C2414yes—
807C2×C22⋊D43C2414yes—
808C2×C22⋊D43C2414yes—
809C2×C22⋊D43C2414yes—
810C2×C22⋊D43C2412yes—
811C2×C22⋊D43C2414yes—
812C2×C22⋊D43C2414yes—
813C2×C22⋊D43C2414yes—
814C2×C22⋊D43C2414yes—
815C2×C22⋊D43C2414yes—
816C22×Dic43—24no—
817C22×Dic43—44no—
818C22×Dic43—42no—
819C22×Dic43—44no—
820C22×Dic43C2411yescharacteristic
821C22×Dic43C2411yescharacteristic
822C22×Dic43C2411yescharacteristic
823C22×Dic43C2411yescharacteristic
824C22×Dic43C2411yescharacteristic
825C22×Dic43C2411yescharacteristic
826C22×Dic43C2411yescharacteristic
827C22×Dic43C2411yescharacteristic
828C22×Dic43C2411yescharacteristic
829C22×Dic43C2411yescharacteristic
830C22×Dic43C2412yes—
831C22×Dic43C2414yes—
832C22×Dic43C2411yescharacteristic
833C22×Dic43C2411yescharacteristic
834C22×Dic43C2411yescharacteristic
835C22×Dic43C2411yescharacteristic
836C22×Dic43C2412yes—
837C22×Dic43C2414yes—
838C22×Dic43C2411yescharacteristic
839C22×Dic43C2412yes—
840C22×Dic43C2414yes—
841C22×Dic43C2414yes—
842C22×Dic43C2414yes—
843C22×Dic43C2414yes—
844C22×Dic43C2414yes—
845#10621900—44no—
846#10621900—48no—
847#10621900—48no—
848#10621900—48no—
849#10621900—48no—
850#10621900—48no—
851#10621900—48no—
852#10621900—48no—
853D4×D43—48no—
854D4×D43—48no—
855D4×D43—44no—
856#10621898—44no—
857#10621898—48no—
858C2×D172—42no—
859C2×D172C2412yes—
860C2×D172C2412yes—
861C2×D172C2414yes—
862C2×C4×D43—44no—
863C2×C4×D43—42no—
864C2×C4×D43C2412yes—
865C2×C4×D43C2414yes—
866C2×C4×D43C2414yes—
867C2×C4×D43C2412yes—
868C2×C4×D43C2414yes—
869C2×C4×D43C2414yes—
870C2×C4×D43C2414yes—
871C2×C4×D43C2414yes—
872C2×Dic86—42no—
873C2×Dic86—42no—
874C2×Dic86—44no—
875C2×Dic86C2412yes—
876C2×Dic86C2412yes—
877C2×Dic86C2412yes—
878C2×Dic86C2412yes—
879C2×Dic86C2414yes—
880C2×Dic86C2414yes—
881C2×Dic86C2414yes—
882C4⋊C4×C43C2412yes—
883C4⋊C4×C43C2412yes—
884C4⋊C4×C43C2412yes—
885C4⋊C4×C43C2412yes—
886C4⋊C4×C43C2414yes—
887C4⋊C4×C43C2412yes—
888C4⋊C4×C43C2412yes—
889C4⋊C4×C43C2414yes—
890C22⋊C4×C43C2414yes—
891C22⋊C4×C43C2414yes—
892C22⋊C4×C43C2412yes—
893C22⋊C4×C43C2412yes—
894C22⋊C4×C43C2412yes—
895C22⋊C4×C43C2412yes—
896C22⋊C4×C43C2414yes—
897C22⋊C4×C43C2414yes—
898C22⋊C4×C43C2414yes—
899C22⋊C4×C43C2414yes—
900C22⋊C4×C43C2414yes—
901C22⋊C4×C43C2414yes—
902C42×C43C2412yes—
903C42×C43C2412yes—
904C22⋊Dic43C2414yes—
905C22⋊Dic43C2414yes—
906C22⋊Dic43C2414yes—
907C22⋊Dic43C2414yes—
908C22⋊Dic43C2412yes—
909C22⋊Dic43C2412yes—
910C22⋊Dic43C2412yes—
911C22⋊Dic43C2412yes—
912C22⋊Dic43C2414yes—
913C22⋊Dic43C2414yes—
914C22⋊Dic43C2414yes—
915C22⋊Dic43C2412yes—
916C22⋊Dic43C2412yes—
917C22⋊Dic43C2414yes—
918C22⋊Dic43C2412yes—
919C22⋊Dic43C2412yes—
920C22⋊Dic43C2414yes—
921C22⋊Dic43C2414yes—
922C22⋊Dic43C2414yes—
923C22⋊Dic43C2414yes—
924C22⋊Dic43C2414yes—
925C22⋊Dic43C2414yes—
926C22⋊Dic43C2414yes—
927C22⋊Dic43C2414yes—
928C22⋊Dic43C2414yes—
929C22⋊Dic43C2414yes—
930(C2×D43)⋊C4C2412yes—
931(C2×D43)⋊C4C2412yes—
932(C2×D43)⋊C4C2414yes—
933(C2×D43)⋊C4C2414yes—
934(C2×D43)⋊C4C2414yes—
935(C2×D43)⋊C4C2414yes—
936(C2×D43)⋊C4C2414yes—
937(C2×D43)⋊C4C2414yes—
938(C2×D43)⋊C4C2412yes—
939(C2×D43)⋊C4C2414yes—
940(C2×D43)⋊C4C2412yes—
941(C2×D43)⋊C4C2412yes—
942(C2×D43)⋊C4C2414yes—
943(C2×D43)⋊C4C2412yes—
944(C2×D43)⋊C4C2412yes—
945(C2×D43)⋊C4C2412yes—
946(C2×D43)⋊C4C2414yes—
947(C2×D43)⋊C4C2414yes—
948(C2×D43)⋊C4C2414yes—
949(C2×D43)⋊C4C2414yes—
950C4⋊Dic43C2412yes—
951C4⋊Dic43C2412yes—
952C4⋊Dic43C2412yes—
953C4⋊Dic43C2412yes—
954C4⋊Dic43C2412yes—
955C4⋊Dic43C2412yes—
956C4⋊Dic43C2412yes—
957C4⋊Dic43C2414yes—
958C4⋊Dic43C2414yes—
959C4⋊Dic43C2412yes—
960C4⋊Dic43C2412yes—
961C4⋊Dic43C2412yes—
962C4⋊Dic43C2414yes—
963C4⋊Dic43C2414yes—
964Dic43⋊C4C2414yes—
965Dic43⋊C4C2414yes—
966Dic43⋊C4C2414yes—
967Dic43⋊C4C2414yes—
968Dic43⋊C4C2414yes—
969Dic43⋊C4C2412yes—
970Dic43⋊C4C2412yes—
971Dic43⋊C4C2412yes—
972Dic43⋊C4C2414yes—
973Dic43⋊C4C2414yes—
974Dic43⋊C4C2414yes—
975Dic43⋊C4C2412yes—
976Dic43⋊C4C2412yes—
977Dic43⋊C4C2414yes—
978Dic43⋊C4C2414yes—
979Dic43⋊C4C2412yes—
980Dic43⋊C4C2412yes—
981Dic43⋊C4C2414yes—
982Dic43⋊C4C2414yes—
983Dic43⋊C4C2412yes—
984Dic43⋊C4C2412yes—
985Dic43⋊C4C2412yes—
986Dic43⋊C4C2414yes—
987Dic43⋊C4C2414yes—
988Dic43⋊C4C2412yes—
989Dic43⋊C4C2412yes—
990Dic43⋊C4C2414yes—
991Dic43⋊C4C2414yes—
992C4×Dic43C2411yescharacteristic
993C4×Dic43C2411yescharacteristic
994C4×Dic43C2411yescharacteristic
995C4×Dic43C2411yescharacteristic
996C4×Dic43C2411yescharacteristic
997C4×Dic43C2411yescharacteristic
998C4×Dic43C2411yescharacteristic
999C4×Dic43C2411yescharacteristic
1000C4×Dic43C2411yescharacteristic
1001C4×Dic43C2411yescharacteristic
1002C4×Dic43C2411yescharacteristic
1003C4×Dic43C2411yescharacteristic
1004C4×Dic43C2411yescharacteristic
1005C4×Dic43C2411yescharacteristic
1006C4×Dic43C2411yescharacteristic
1007C4×Dic43C2411yescharacteristic
1008C4×Dic43C2414yes—
1009C4×Dic43C2412yes—
1010C4×Dic43C2414yes—
1011C4×Dic43C2412yes—
1012C4×Dic43C2414yes—
1013C4×Dic43C2414yes—
1014C4×Dic43C2414yes—
1015C4×Dic43C2414yes—
1016C23×C43—24no—
1017C23×C43—24no—
1018C23×C43—22no—
1019C23×C43—41no—
1020C23×C43—41no—
1021C23×C43—42no—
1022C23×C43—42no—
1023C23×C43—41no—
1024C23×C43—41no—
1025C23×C43—42no—
1026C23×C43—42no—
1027C23×C43—44no—
1028C23×C43—44no—
1029C23×C43—44no—
1030C23×C43H(5,𝔽2)14yes—
1031C23×C43C2512yes—
1032C23×C43C2514yes—
1033C23×C43C2514yes—
1034C23×C43C2511yescharacteristic
1035C23×C43C2511yescharacteristic
1036C23×C43C2511yescharacteristic
1037C22×D43—24no—
1038C22×D43—22no—
1039C22×D43—41no—
1040C22×D43—42no—
1041C22×D43—41no—
1042C22×D43—42no—
1043C22×D43—44no—
1044C22×D43—44no—
1045C22×D43—44no—
1046C22×D43C2512yes—
1047C22×D43C2514yes—
1048Q8×C43—44no—
1049D4×C43—28no—
1050D4×C43—28no—
1051D4×C43—28no—
1052D4×C43—28no—
1053D4×C43—24no—
1054D4×C43—24no—
1055D4×C43—24no—
1056D4×C43—24no—
1057D4×C43—44no—
1058D4×C43—44no—
1059D4×C43—44no—
1060D4×C43—44no—
1061D4×C43—42no—
1062D4×C43—44no—
1063D4×C43—42no—
1064C2×C4×C43—24no—
1065C2×C4×C43—24no—
1066C2×C4×C43—22no—
1067C2×C4×C43—22no—
1068C2×C4×C43—22no—
1069C2×C4×C43—22no—
1070C2×C4×C43—24no—
1071C2×C4×C43—41no—
1072C2×C4×C43—41no—
1073C2×C4×C43—41no—
1074C2×C4×C43—42no—
1075C2×C4×C43—41no—
1076C2×C4×C43—41no—
1077C2×C4×C43—44no—
1078C2×C4×C43—44no—
1079C2×C4×C43—44no—
1080C2×C4×C43C2511yescharacteristic
1081C2×C4×C43C2511yescharacteristic
1082C2×C4×C43C2511yescharacteristic
1083C2×C4×C43C2514yes—
1084C2×C4×C43C2512yes—
1085C2×C4×C43C2512yes—
1086C2×C4×C43C2514yes—
1087C2×C4×C43C2512yes—
1088C2×C4×C43C2511yescharacteristic
1089C22⋊D43—24no—
1090C22⋊D43—28no—
1091C22⋊D43—24no—
1092C22⋊D43—28no—
1093C22⋊D43—28no—
1094C22⋊D43—24no—
1095C22⋊D43—44no—
1096C22⋊D43—44no—
1097C22⋊D43—44no—
1098C22⋊D43—44no—
1099C22⋊D43—44no—
1100C22⋊D43—44no—
1101C22⋊D43—44no—
1102C22⋊D43—44no—
1103C22⋊D43—42no—
1104C22⋊D43—44no—
1105C22⋊D43—44no—
1106C22⋊D43—44no—
1107C2×Dic43—22no—
1108C2×Dic43—24no—
1109C2×Dic43—22no—
1110C2×Dic43—22no—
1111C2×Dic43—22no—
1112C2×Dic43—22no—
1113C2×Dic43—22no—
1114C2×Dic43—22no—
1115C2×Dic43—22no—
1116C2×Dic43—28no—
1117C2×Dic43—22no—
1118C2×Dic43—22no—
1119C2×Dic43—42no—
1120C2×Dic43—41no—
1121C2×Dic43—41no—
1122C2×Dic43—44no—
1123C2×Dic43—44no—
1124C2×Dic43—44no—
1125C2×Dic43—44no—
1126C2×Dic43—44no—
1127C2×Dic43—41no—
1128C2×Dic43—41no—
1129C2×Dic43—42no—
1130C2×Dic43—44no—
1131C2×Dic43—41no—
1132C2×Dic43C2511yescharacteristic
1133C2×Dic43C2514yes—
1134C2×Dic43C2511yescharacteristic
1135C2×Dic43C2511yescharacteristic
1136C2×Dic43C2511yescharacteristic
1137C2×Dic43C2511yescharacteristic
1138C2×Dic43C2511yescharacteristic
1139C2×Dic43C2512yes—
1140C2×Dic43C2511yescharacteristic
1141C2×Dic43C2512yes—
1142C2×Dic43C2512yes—
1143C2×Dic43C2514yes—
1144C2×Dic43C2514yes—
1145C2×Dic43C2511yescharacteristic
1146D172—24no—
1147D172—42no—
1148D172—44no—
1149C4×D43—24no—
1150C4×D43—42no—
1151C4×D43—44no—
1152C4×D43—44no—
1153C4×D43—44no—
1154C4×D43—44no—
1155C4×D43—44no—
1156C4×D43—44no—
1157Dic86—24no—
1158Dic86—24no—
1159Dic86—42no—
1160Dic86—42no—
1161Dic86—44no—
1162Dic86—44no—
1163Dic86—44no—
1164#62822—431nomaximal, Sylow
1165C22×C43—21no—
1166C22×C43—21no—
1167C22×C43—21no—
1168C22×C43—21no—
1169C22×C43—21no—
1170C22×C43—21no—
1171C22×C43—24no—
1172C22×C43—22no—
1173C22×C43—24no—
1174C22×C43—24no—
1175C22×C43—24no—
1176C22×C43—22no—
1177C22×C43—22no—
1178C22×C43—24no—
1179C22×C43—24no—
1180C22×C43—44no—
1181C22×C43—84no—
1182C22×C43—82no—
1183C22×C43—84no—
1184C22×C43—164no—
1185C22×C43C2×H(5,𝔽2)12yes—
1186C22×C43C2×H(5,𝔽2)12yes—
1187C22×C43C2×H(5,𝔽2)12yes—
1188C22×C43C2611yescharacteristic
1189C2×D43—22no—
1190C2×D43—24no—
1191C2×D43—22no—
1192C2×D43—22no—
1193C2×D43—24no—
1194C2×D43—24no—
1195C2×D43—84no—
1196C2×D43—82no—
1197C2×D43—164no—
1198C4×C43—24no—
1199C4×C43—24no—
1200C4×C43—22no—
1201C4×C43—22no—
1202C4×C43—21no—
1203C4×C43—21no—
1204C4×C43—22no—
1205C4×C43—21no—
1206C4×C43#58512yes—
1207Dic43—21no—
1208Dic43—21no—
1209Dic43—24no—
1210Dic43—22no—
1211Dic43—21no—
1212Dic43—21no—
1213Dic43—24no—
1214Dic43—22no—
1215Dic43—21no—
1216Dic43—22no—
1217Dic43—24no—
1218Dic43—21no—
1219Dic43—21no—
1220Dic43#58512yes—
1221#3560—434no—
1222#3560—432no—
1223#3560—432no—
1224#3559—432no—
1225#3559—432no—
1226#3558—432no—
1227#3558—432no—
1228#3545—434no—
1229#3544—432no—
1230#3543—432no—
1231#3522—432no—
1232#3522—432no—
1233#3519—432no—
1234#3519—432no—
1235#3513—432no—
1236#3513—434no—
1237#3513—432no—
1238#3505—432no—
1239#3505—431no—
1240#3505—431no—
1241#3496—432no—
1242#3496—431no—
1243#3496D4311yescharacteristic, complemented
1244#3494—434no—
1245#3494—432no—
1246#3494—432no—
1247#3485—432no—
1248#3485—432no—
1249C2×#532—431no—
1250C2×#529—431no—
1251C2×#529—431no—
1252C2×C43—22no—
1253C2×C43—22no—
1254C2×C43—22no—
1255C2×C43—44no—
1256C2×C43—44no—
1257C2×C43—42no—
1258C2×C43C22×H(5,𝔽2)11yescharacteristic
1259C2×C43C2×#58511yescharacteristic
1260C2×C43C2×#58511yescharacteristic
1261D43—44no—
1262D43—42no—
1263C2×H(5,𝔽2)—432no—
1264C2×H(5,𝔽2)C2×D4312yescomplemented
1265C22×#41—432no—
1266#563—434no—
1267#563—434no—
1268#563—434no—
1269#562—434no—
1270#562—434no—
1271H(3,𝔽4)—434no—
1272#560—434no—
1273#560—434no—
1274#559—432no—
1275#559—434no—
1276#559—432no—
1277#559—432no—
1278Q82—432no—
1279#555—434no—
1280#555—434no—
1281#555—432no—
1282#554—432no—
1283#554—434no—
1284#554—432no—
1285#554—432no—
1286#554—432no—
1287#553—434no—
1288#553—434no—
1289#553—434no—
1290#553—434no—
1291#553—434no—
1292#553—434no—
1293#553—434no—
1294#553—432no—
1295#553—434no—
1296#553—432no—
1297#553—432no—
1298#553—434no—
1299#553—434no—
1300#553—432no—
1301#552—434no—
1302#552—432no—
1303#552—432no—
1304#551—434no—
1305#551—434no—
1306#551—434no—
1307#551—434no—
1308#551—434no—
1309#551—434no—
1310#551—434no—
1311#551—434no—
1312#551—434no—
1313#551—434no—
1314#550—432no—
1315#550—432no—
1316#548—434no—
1317#548—432no—
1318#548—432no—
1319#547—434no—
1320#547—434no—
1321#547—434no—
1322#547—434no—
1323#547—434no—
1324#547—434no—
1325#547—434no—
1326#547—434no—
1327#547—434no—
1328#547—434no—
1329#547—432no—
1330#547—432no—
1331#547C2×D4312yescomplemented
1332#547C2×D4312yescomplemented
1333#546—434no—
1334#546—434no—
1335#546—434no—
1336#546—434no—
1337#546—434no—
1338#546—434no—
1339#546—434no—
1340#546—434no—
1341#546—432no—
1342#546—432no—
1343#546—434no—
1344#546—434no—
1345#546—434no—
1346#546—432no—
1347#546—434no—
1348#546—434no—
1349#546—434no—
1350#546—434no—
1351#546—432no—
1352#546—434no—
1353#546C2×D4314yescomplemented
1354#546C2×D4314yescomplemented
1355D42—434no—
1356D42—434no—
1357D42—432no—
1358D42—432no—
1359D42—432no—
1360D42C2×D4312yescomplemented
1361D42C2×D4312yescomplemented
1362#544—432no—
1363#544—434no—
1364#544—432no—
1365#542—432no—
1366#542—434no—
1367#542—434no—
1368#542—434no—
1369#542—434no—
1370#542—434no—
1371#542—432no—
1372#542—432no—
1373#542—432no—
1374#542—434no—
1375#540—432no—
1376#540—434no—
1377#540—432no—
1378#540—434no—
1379#540—432no—
1380#540—432no—
1381#539—434no—
1382#539—434no—
1383#539—434no—
1384#539—434no—
1385#539—432no—
1386#539—434no—
1387#539—432no—
1388#538—434no—
1389#538—432no—
1390#538—434no—
1391#538—434no—
1392#538—434no—
1393#538—434no—
1394#538—434no—
1395#538—434no—
1396#538—434no—
1397#538—432no—
1398#538—434no—
1399#537—434no—
1400#537—432no—
1401#537C2×D4312yescomplemented
1402#536—434no—
1403#536—434no—
1404#535—432no—
1405#535—432no—
1406#535—434no—
1407#534—432no—
1408#534—432no—
1409#534—432no—
1410#534—434no—
1411#534—434no—
1412#534—432no—
1413#534—434no—
1414#534C2×D4312yescomplemented
1415#534C2×D4312yescomplemented
1416#532—434no—
1417#532—432no—
1418#532—432no—
1419#532—432no—
1420#532—432no—
1421#532—432no—
1422#532—432no—
1423#532—432no—
1424#532—432no—
1425#532—432no—
1426#532C2×D4312yescomplemented
1427C2×C4⋊Q8—431no—
1428C2×#127—431no—
1429#529—434no—
1430#529—432no—
1431#529—432no—
1432#529—432no—
1433#529—432no—
1434#529—432no—
1435#529—432no—
1436#529—432no—
1437#529—432no—
1438#529—432no—
1439#529—432no—
1440#529—432no—
1441#529—432no—
1442#529—432no—
1443#529—432no—
1444#529—432no—
1445#529—432no—
1446#529—432no—
1447#529—432no—
1448C2×#126—431no—
1449C2×#126—431no—
1450C2×#126—432no—
1451C2×#125—431no—
1452C2×#125—431no—
1453C2×#124—431no—
1454C2×#124—431no—
1455C2×#124—432no—
1456#525—434no—
1457#525—432no—
1458#525—432no—
1459#525—434no—
1460#525—434no—
1461C2×#123—432no—
1462C2×#123—431no—
1463C2×#123—434no—
1464C2×#123—434no—
1465C2×#123—431no—
1466C2×C22⋊Q8—431no—
1467C2×C22⋊Q8—431no—
1468C2×#121—431no—
1469C2×#121—432no—
1470C2×#121—434no—
1471C2×#121—431no—
1472C2×#121—432no—
1473C2×#121C2×D4311yescharacteristic
1474C2×#121C2×D4311yescharacteristic, complemented
1475C2×#121C2×D4312yescomplemented
1476#520—434no—
1477#520—432no—
1478#520—432no—
1479#518—432no—
1480#518—432no—
1481#518—432no—
1482#518—432no—
1483#518—434no—
1484C2×C4×Q8—431no—
1485C2×C4×Q8—431no—
1486C2×C4×D4—432no—
1487C2×C4×D4—431no—
1488C2×C4×D4—431no—
1489C2×C4×D4—431no—
1490C2×C4×D4—431no—
1491C2×C4×D4—431no—
1492C2×C4×D4—432no—
1493C2×C4×D4C2×D4311yescharacteristic, complemented
1494C2×#117—431no—
1495C2×#117—432no—
1496C2×#117—431no—
1497C22×C42—431no—
1498C43#6282211yescharacteristic, complemented, Sylow
1499H(5,𝔽2)—48no—
1500H(5,𝔽2)—1728no—
1501C2×#41—434no—
1502C2×#41—432no—
1503C2×#41—434no—
1504C2×#41—434no—
1505C2×#41—434no—
1506C2×#41—434no—
1507C2×#41—434no—
1508C2×#41—434no—
1509C2×#41—432no—
1510C2×#41—434no—
1511C2×#41—1728no—
1512C2×#41C22×D4314yes—
1513C2×#41C22×D4314yes—
1514C2×#41C22×D4314yes—
1515C22×Q8—431no—
1516C22×Q8—431no—
1517C22×Q8—432no—
1518C22×D4—431no—
1519C22×D4—432no—
1520C22×D4—431no—
1521C22×D4—432no—
1522C22×D4—434no—
1523C22×D4—434no—
1524C22×D4—432no—
1525C22×D4—432no—
1526C22×D4—434no—
1527C22×D4—434no—
1528C22×D4—431no—
1529C22×D4C22×D4312yes—
1530C22×D4C22×D4311yescharacteristic
1531C22×D4C22×D4312yes—
1532C22×D4C22×D4311yescharacteristic
1533C22×D4C22×D4311yescharacteristic
1534C22×D4C22×D4312yes—
1535C22×D4C22×D4314yes—
1536C22×D4C22×D4314yes—
1537C22×D4C22×D4314yes—
1538C23×C4—431no—
1539C23×C4—432no—
1540C23×C4—431no—
1541C23×C4—432no—
1542C23×C4—431no—
1543C23×C4—432no—
1544C23×C4C22×D4311yescharacteristic
1545C23×C4C22×D4311yescharacteristic
1546C4⋊Q8—434no—
1547C4⋊Q8—434no—
1548C4⋊Q8—434no—
1549C4⋊Q8—432no—
1550C4⋊Q8—432no—
1551C4⋊Q8—432no—
1552C4⋊Q8—432no—
1553C4⋊Q8—432no—
1554C4⋊Q8—434no—
1555C4⋊Q8—434no—
1556C4⋊Q8C22×D4312yes—
1557#127—432no—
1558#127—432no—
1559#127—432no—
1560#127—432no—
1561#127—434no—
1562#127—432no—
1563#127C22×D4312yes—
1564#126—432no—
1565#126—432no—
1566#126—432no—
1567#126—432no—
1568#126—434no—
1569#126—434no—
1570#126—434no—
1571#126—434no—
1572#126—432no—
1573#126—434no—
1574#126—432no—
1575#126—434no—
1576#126—432no—
1577#126—434no—
1578#126—432no—
1579#126—434no—
1580#126—434no—
1581#126—434no—
1582#126—434no—
1583#126—434no—
1584#126—434no—
1585#126—434no—
1586#126—434no—
1587#126—434no—
1588#125—432no—
1589#125—432no—
1590#125—432no—
1591#125—432no—
1592#125—432no—
1593#125—432no—
1594#125—432no—
1595#125—432no—
1596#125—434no—
1597#125—432no—
1598#125—434no—
1599#125—434no—
1600#125—434no—
1601#125—434no—
1602#125—432no—
1603#124—434no—
1604#124—432no—
1605#124—432no—
1606#124—432no—
1607#124—432no—
1608#124—432no—
1609#124—434no—
1610#124—434no—
1611#124—434no—
1612#124—434no—
1613#124—432no—
1614#124—432no—
1615#124—432no—
1616#124—432no—
1617#124—434no—
1618#124—434no—
1619#124—434no—
1620#124—434no—
1621#124—434no—
1622#124—434no—
1623#124—434no—
1624#124—434no—
1625#124—434no—
1626#124—434no—
1627#124—434no—
1628#124—432no—
1629#124C22×D4314yes—
1630#123—434no—
1631#123—432no—
1632#123—434no—
1633#123—432no—
1634#123—434no—
1635#123—432no—
1636#123—434no—
1637#123—432no—
1638#123—434no—
1639#123—434no—
1640#123—434no—
1641#123—434no—
1642#123—434no—
1643#123—434no—
1644#123—434no—
1645#123—434no—
1646#123—434no—
1647#123—434no—
1648#123—434no—
1649#123—434no—
1650#123—434no—
1651#123—434no—
1652#123—434no—
1653#123—434no—
1654#123—434no—
1655#123—434no—
1656#123—434no—
1657#123—434no—
1658#123—434no—
1659#123—434no—
1660#123—434no—
1661#123—434no—
1662#123—432no—
1663#123—432no—
1664#123—432no—
1665#123—432no—
1666#123—434no—
1667#123—434no—
1668#123—434no—
1669#123—434no—
1670#123—434no—
1671#123—434no—
1672#123—434no—
1673#123—434no—
1674#123—434no—
1675#123—434no—
1676#123—434no—
1677#123—434no—
1678#123C22×D4314yes—
1679#123C22×D4314yes—
1680#123C22×D4314yes—
1681#123C22×D4314yes—
1682C22⋊Q8—434no—
1683C22⋊Q8—434no—
1684C22⋊Q8—434no—
1685C22⋊Q8—434no—
1686C22⋊Q8—432no—
1687C22⋊Q8—432no—
1688C22⋊Q8—432no—
1689C22⋊Q8—432no—
1690C22⋊Q8—432no—
1691C22⋊Q8—434no—
1692C22⋊Q8—434no—
1693C22⋊Q8—434no—
1694C22⋊Q8—434no—
1695C22⋊Q8—434no—
1696C22⋊Q8—434no—
1697C22⋊Q8—432no—
1698C22⋊Q8—434no—
1699C22⋊Q8—434no—
1700C22⋊Q8—434no—
1701C22⋊Q8—434no—
1702C22⋊Q8—434no—
1703C22⋊Q8—432no—
1704C22⋊Q8—432no—
1705C22⋊Q8—432no—
1706C22⋊Q8—432no—
1707C22⋊Q8—434no—
1708C22⋊Q8—434no—
1709C22⋊Q8—434no—
1710C22⋊Q8—434no—
1711C22⋊Q8—434no—
1712C22⋊Q8—434no—
1713C22⋊Q8—434no—
1714C22⋊Q8—434no—
1715C22⋊Q8C22×D4314yes—
1716C22⋊Q8C22×D4314yes—
1717#121—432no—
1718#121—434no—
1719#121—432no—
1720#121—432no—
1721#121—432no—
1722#121—434no—
1723#121—434no—
1724#121—434no—
1725#121—434no—
1726#121—434no—
1727#121—434no—
1728#121—434no—
1729#121—434no—
1730#121—432no—
1731#121—434no—
1732#121—434no—
1733#121—434no—
1734#121—434no—
1735#121—434no—
1736#121—434no—
1737#121—432no—
1738#121—434no—
1739#121—434no—
1740#121—434no—
1741#121—434no—
1742#121—434no—
1743#121—434no—
1744#121—434no—
1745#121—434no—
1746#121—434no—
1747#121—434no—
1748#121—434no—
1749#121—434no—
1750#121—434no—
1751#121—434no—
1752#121—434no—
1753#121—434no—
1754#121—432no—
1755#121—432no—
1756#121—432no—
1757#121—432no—
1758#121—432no—
1759#121—434no—
1760#121—434no—
1761#121—432no—
1762#121—434no—
1763#121—434no—
1764#121—434no—
1765#121—434no—
1766#121—434no—
1767#121C22×D4312yes—
1768#121C22×D4312yes—
1769#121C22×D4312yes—
1770#121C22×D4312yes—
1771#121C22×D4312yes—
1772#121C22×D4312yes—
1773#121C22×D4312yes—
1774#121C22×D4312yes—
1775#121C22×D4314yes—
1776#121C22×D4314yes—
1777#121C22×D4312yes—
1778#121C22×D4312yes—
1779#121C22×D4314yes—
1780#121C22×D4314yes—
1781#121C22×D4314yes—
1782#120—434no—
1783#120—434no—
1784#120—434no—
1785#120—434no—
1786#120—434no—
1787#120—434no—
1788#120—434no—
1789#120—434no—
1790#120—434no—
1791#120—434no—
1792#120—434no—
1793#120—434no—
1794#120—434no—
1795#120—434no—
1796#120—434no—
1797#120—434no—
1798#120C22×D4314yes—
1799#120C22×D4314yes—
1800#120C22×D4314yes—
1801#120C22×D4314yes—
1802C4×Q8—432no—
1803C4×Q8—432no—
1804C4×Q8—432no—
1805C4×Q8—432no—
1806C4×Q8—434no—
1807C4×Q8—432no—
1808C4×Q8—432no—
1809C4×Q8—432no—
1810C4×Q8—432no—
1811C4×Q8—432no—
1812C4×Q8—432no—
1813C4×D4—432no—
1814C4×D4—432no—
1815C4×D4—432no—
1816C4×D4—434no—
1817C4×D4—434no—
1818C4×D4—432no—
1819C4×D4—434no—
1820C4×D4—432no—
1821C4×D4—434no—
1822C4×D4—432no—
1823C4×D4—432no—
1824C4×D4—432no—
1825C4×D4—434no—
1826C4×D4—434no—
1827C4×D4—434no—
1828C4×D4—434no—
1829C4×D4—434no—
1830C4×D4—434no—
1831C4×D4—432no—
1832C4×D4—432no—
1833C4×D4—434no—
1834C4×D4—432no—
1835C4×D4—432no—
1836C4×D4—432no—
1837C4×D4—432no—
1838C4×D4—432no—
1839C4×D4—432no—
1840C4×D4—432no—
1841C4×D4—432no—
1842C4×D4—434no—
1843C4×D4—434no—
1844C4×D4—434no—
1845C4×D4—434no—
1846C4×D4—434no—
1847C4×D4—434no—
1848C4×D4—434no—
1849C4×D4—434no—
1850C4×D4—434no—
1851C4×D4—434no—
1852C4×D4—434no—
1853C4×D4—432no—
1854C4×D4—432no—
1855C4×D4—432no—
1856C4×D4—432no—
1857C4×D4—432no—
1858C4×D4—434no—
1859C4×D4—434no—
1860C4×D4—434no—
1861C4×D4—434no—
1862C4×D4—434no—
1863C4×D4—434no—
1864C4×D4—434no—
1865C4×D4—434no—
1866C4×D4—434no—
1867C4×D4—434no—
1868C4×D4—434no—
1869C4×D4—434no—
1870C4×D4—432no—
1871C4×D4C22×D4312yes—
1872C4×D4C22×D4312yes—
1873C4×D4C22×D4312yes—
1874C4×D4C22×D4312yes—
1875C4×D4C22×D4312yes—
1876C4×D4C22×D4312yes—
1877C4×D4C22×D4314yes—
1878#117—432no—
1879#117—432no—
1880#117—432no—
1881#117—432no—
1882#117—434no—
1883#117—432no—
1884#117—432no—
1885#117—434no—
1886#117—434no—
1887#117—434no—
1888#117—434no—
1889#117—434no—
1890#117—434no—
1891#117—434no—
1892#117—434no—
1893#117—434no—
1894#117—432no—
1895#117—432no—
1896#117—432no—
1897#117—432no—
1898#117—434no—
1899C2×C4⋊C4—431no—
1900C2×C4⋊C4—432no—
1901C2×C4⋊C4—431no—
1902C2×C4⋊C4—432no—
1903C2×C4⋊C4—431no—
1904C2×C4⋊C4—431no—
1905C2×C4⋊C4—432no—
1906C2×C4⋊C4—431no—
1907C2×C4⋊C4—431no—
1908C2×C4⋊C4—431no—
1909C2×C4⋊C4—431no—
1910C2×C4⋊C4—432no—
1911C2×C4⋊C4—431no—
1912C2×C4⋊C4—432no—
1913C2×C4⋊C4—431no—
1914C2×C4⋊C4—431no—
1915C2×C4⋊C4—434no—
1916C2×C4⋊C4—434no—
1917C2×C4⋊C4—434no—
1918C2×C4⋊C4—432no—
1919C2×C4⋊C4—434no—
1920C2×C4⋊C4—434no—
1921C2×C4⋊C4C22×D4311yescharacteristic
1922C2×C4⋊C4C22×D4311yescharacteristic
1923C2×C4⋊C4C22×D4311yescharacteristic
1924C2×C4⋊C4C22×D4312yes—
1925C2×C22⋊C4—431no—
1926C2×C22⋊C4—431no—
1927C2×C22⋊C4—432no—
1928C2×C22⋊C4—432no—
1929C2×C22⋊C4—431no—
1930C2×C22⋊C4—432no—
1931C2×C22⋊C4—431no—
1932C2×C22⋊C4—432no—
1933C2×C22⋊C4—432no—
1934C2×C22⋊C4—434no—
1935C2×C22⋊C4—434no—
1936C2×C22⋊C4—434no—
1937C2×C22⋊C4—434no—
1938C2×C22⋊C4—431no—
1939C2×C22⋊C4—431no—
1940C2×C22⋊C4—432no—
1941C2×C22⋊C4—432no—
1942C2×C22⋊C4—431no—
1943C2×C22⋊C4—431no—
1944C2×C22⋊C4—434no—
1945C2×C22⋊C4—434no—
1946C2×C22⋊C4—434no—
1947C2×C22⋊C4—434no—
1948C2×C22⋊C4—434no—
1949C2×C22⋊C4C22×D4312yes—
1950C2×C22⋊C4C22×D4312yes—
1951C2×C22⋊C4C22×D4311yescharacteristic
1952C2×C22⋊C4C22×D4311yescharacteristic
1953C2×C22⋊C4C22×D4314yes—
1954C2×C42—431no—
1955C2×C42—431no—
1956C2×C42—432no—
1957C2×C42—431no—
1958C2×C42—431no—
1959C2×C42—431no—
1960C2×C42—431no—
1961C2×C42—431no—
1962C2×C42—431no—
1963C2×C42—431no—
1964C2×C42—431no—
1965C2×C42—431no—
1966C2×C42—431no—
1967C2×C42—431no—
1968C2×C42C22×D4311yescharacteristic
1969C24—431no—
1970C24—432no—
1971C24—434no—
1972C24C23×D4311yescharacteristic
1973C24C23×D4312yes—
1974C24C23×D4312yes—
1975C24C23×D4314yes—
1976C24C23×D4311yescharacteristic
1977#41—48no—
1978#41—48no—
1979#41—48no—
1980#41—1728no—
1981#41—1724no—
1982#41—1728no—
1983#41—1728no—
1984#41—1728no—
1985#41—1728no—
1986#41—1728no—
1987#41—1728no—
1988#41—1724no—
1989#41—1728no—
1990C2×Q8—432no—
1991C2×Q8—432no—
1992C2×Q8—432no—
1993C2×Q8—432no—
1994C2×Q8—434no—
1995C2×Q8—434no—
1996C2×Q8—434no—
1997C2×Q8—1724no—
1998C2×Q8—1722no—
1999C2×Q8—1722no—
2000C2×Q8C23×D4314yes—
2001C2×D4—28no—
2002C2×D4—24no—
2003C2×D4—28no—
2004C2×D4—42no—
2005C2×D4—42no—
2006C2×D4—44no—
2007C2×D4—48no—
2008C2×D4—48no—
2009C2×D4—48no—
2010C2×D4—432no—
2011C2×D4—434no—
2012C2×D4—432no—
2013C2×D4—434no—
2014C2×D4—434no—
2015C2×D4—432no—
2016C2×D4—434no—
2017C2×D4—434no—
2018C2×D4—434no—
2019C2×D4—432no—
2020C2×D4—434no—
2021C2×D4—434no—
2022C2×D4—434no—
2023C2×D4—434no—
2024C2×D4—434no—
2025C2×D4—434no—
2026C2×D4—434no—
2027C2×D4—434no—
2028C2×D4—432no—
2029C2×D4—432no—
2030C2×D4—434no—
2031C2×D4—868no—
2032C2×D4—864no—
2033C2×D4—1722no—
2034C2×D4—1724no—
2035C2×D4—1724no—
2036C2×D4—1722no—
2037C2×D4—1728no—
2038C2×D4—1724no—
2039C2×D4—1728no—
2040C2×D4—1728no—
2041C2×D4—1728no—
2042C2×D4C23×D4312yes—
2043C2×D4C23×D4312yes—
2044C2×D4C23×D4314yes—
2045C2×D4C23×D4314yes—
2046C2×D4C23×D4314yes—
2047C2×D4C23×D4314yes—
2048C2×D4C23×D4312yes—
2049C2×D4C23×D4312yes—
2050C2×D4C23×D4312yes—
2051C2×D4C23×D4314yes—
2052C2×D4C23×D4312yes—
2053C2×D4C23×D4314yes—
2054C2×D4C23×D4314yes—
2055C2×D4C23×D4314yes—
2056C2×D4C23×D4314yes—
2057C22×C4—42no—
2058C22×C4—42no—
2059C22×C4—431no—
2060C22×C4—431no—
2061C22×C4—431no—
2062C22×C4—431no—
2063C22×C4—431no—
2064C22×C4—431no—
2065C22×C4—431no—
2066C22×C4—431no—
2067C22×C4—431no—
2068C22×C4—431no—
2069C22×C4—432no—
2070C22×C4—434no—
2071C22×C4—431no—
2072C22×C4—431no—
2073C22×C4—431no—
2074C22×C4—431no—
2075C22×C4—432no—
2076C22×C4—431no—
2077C22×C4—432no—
2078C22×C4—434no—
2079C22×C4—434no—
2080C22×C4—434no—
2081C22×C4—434no—
2082C22×C4—434no—
2083C22×C4—434no—
2084C22×C4—432no—
2085C22×C4—434no—
2086C22×C4—434no—
2087C22×C4—432no—
2088C22×C4—434no—
2089C22×C4—434no—
2090C22×C4—434no—
2091C22×C4—434no—
2092C22×C4—864no—
2093C22×C4—1722no—
2094C22×C4—1724no—
2095C22×C4—1722no—
2096C22×C4—1724no—
2097C22×C4—1724no—
2098C22×C4C23×D4311yescharacteristic
2099C22×C4C23×D4311yescharacteristic
2100C22×C4C23×D4311yescharacteristic
2101C22×C4C23×D4312yes—
2102C22×C4C23×D4311yescharacteristic
2103C22×C4C23×D4312yes—
2104C22×C4C23×D4312yes—
2105C22×C4C23×D4311yescharacteristic
2106C22×C4C23×D4311yescharacteristic
2107C22×C4C23×D4311yescharacteristic
2108C22×C4C23×D4311yescharacteristic
2109C22×C4C23×D4311yescharacteristic
2110C22×C4C23×D4314yes—
2111C22×C4C23×D4312yes—
2112C22×C4C23×D4314yes—
2113C22×C4C23×D4314yes—
2114C4⋊C4—434no—
2115C4⋊C4—432no—
2116C4⋊C4—432no—
2117C4⋊C4—432no—
2118C4⋊C4—434no—
2119C4⋊C4—432no—
2120C4⋊C4—432no—
2121C4⋊C4—434no—
2122C4⋊C4—432no—
2123C4⋊C4—434no—
2124C4⋊C4—434no—
2125C4⋊C4—434no—
2126C4⋊C4—432no—
2127C4⋊C4—434no—
2128C4⋊C4—432no—
2129C4⋊C4—432no—
2130C4⋊C4—432no—
2131C4⋊C4—434no—
2132C4⋊C4—432no—
2133C4⋊C4—432no—
2134C4⋊C4—434no—
2135C4⋊C4—432no—
2136C4⋊C4—432no—
2137C4⋊C4—432no—
2138C4⋊C4—434no—
2139C4⋊C4—432no—
2140C4⋊C4—434no—
2141C4⋊C4—434no—
2142C4⋊C4—432no—
2143C4⋊C4—432no—
2144C4⋊C4—432no—
2145C4⋊C4—434no—
2146C4⋊C4—434no—
2147C4⋊C4—434no—
2148C4⋊C4—432no—
2149C4⋊C4—434no—
2150C4⋊C4—432no—
2151C4⋊C4—432no—
2152C4⋊C4—434no—
2153C4⋊C4—434no—
2154C4⋊C4—434no—
2155C4⋊C4—434no—
2156C4⋊C4C23×D4312yes—
2157C4⋊C4C23×D4314yes—
2158C4⋊C4C23×D4314yes—
2159C4⋊C4C23×D4312yes—
2160C4⋊C4C23×D4312yes—
2161C4⋊C4C23×D4312yes—
2162C4⋊C4C23×D4312yes—
2163C4⋊C4C23×D4312yes—
2164C22⋊C4—432no—
2165C22⋊C4—434no—
2166C22⋊C4—432no—
2167C22⋊C4—432no—
2168C22⋊C4—434no—
2169C22⋊C4—432no—
2170C22⋊C4—434no—
2171C22⋊C4—434no—
2172C22⋊C4—434no—
2173C22⋊C4—434no—
2174C22⋊C4—432no—
2175C22⋊C4—432no—
2176C22⋊C4—434no—
2177C22⋊C4—434no—
2178C22⋊C4—432no—
2179C22⋊C4—432no—
2180C22⋊C4—434no—
2181C22⋊C4—434no—
2182C22⋊C4—434no—
2183C22⋊C4—434no—
2184C22⋊C4—434no—
2185C22⋊C4—434no—
2186C22⋊C4—434no—
2187C22⋊C4—434no—
2188C22⋊C4—434no—
2189C22⋊C4—434no—
2190C22⋊C4—432no—
2191C22⋊C4—432no—
2192C22⋊C4—432no—
2193C22⋊C4—434no—
2194C22⋊C4—434no—
2195C22⋊C4—434no—
2196C22⋊C4—432no—
2197C22⋊C4—432no—
2198C22⋊C4—432no—
2199C22⋊C4—432no—
2200C22⋊C4—434no—
2201C22⋊C4—432no—
2202C22⋊C4—434no—
2203C22⋊C4—434no—
2204C22⋊C4—434no—
2205C22⋊C4—434no—
2206C22⋊C4—434no—
2207C22⋊C4—434no—
2208C22⋊C4—434no—
2209C22⋊C4—434no—
2210C22⋊C4C23×D4312yes—
2211C22⋊C4C23×D4314yes—
2212C22⋊C4C23×D4314yes—
2213C22⋊C4C23×D4314yes—
2214C22⋊C4C23×D4314yes—
2215C22⋊C4C23×D4314yes—
2216C22⋊C4C23×D4312yes—
2217C22⋊C4C23×D4314yes—
2218C22⋊C4C23×D4314yes—
2219C22⋊C4C23×D4312yes—
2220C22⋊C4C23×D4312yes—
2221C22⋊C4C23×D4314yes—
2222C42—431no—
2223C42—431no—
2224C42—431no—
2225C42—431no—
2226C42—431no—
2227C42—431no—
2228C42—431no—
2229C42—431no—
2230C42—431no—
2231C42—431no—
2232C42—431no—
2233C42—431no—
2234C42—431no—
2235C42—431no—
2236C42—431no—
2237C42—431no—
2238C42—434no—
2239C42—432no—
2240C42—434no—
2241C42—432no—
2242C42—434no—
2243C42—434no—
2244C42—434no—
2245C42—434no—
2246C42C23×D4312yes—
2247C42C23×D4312yes—
2248C23—24no—
2249C23—22no—
2250C23—24no—
2251C23—41no—
2252C23—41no—
2253C23—41no—
2254C23—42no—
2255C23—42no—
2256C23—42no—
2257C23—41no—
2258C23—42no—
2259C23—44no—
2260C23—44no—
2261C23—44no—
2262C23—432no—
2263C23—434no—
2264C23—864no—
2265C23—862no—
2266C23—1721no—
2267C23—1721no—
2268C23—1722no—
2269C23—1722no—
2270C23—1724no—
2271C23—1724no—
2272C23—1724no—
2273C23#1306337014yes—
2274C23C24×D4312yes—
2275C23C24×D4314yes—
2276C23C24×D4314yes—
2277C23C24×D4311yescharacteristic
2278C23C24×D4311yescharacteristic
2279C23C24×D4311yescharacteristic
2280Q8—44no—
2281Q8—864no—
2282Q8—864no—
2283Q8—1724no—
2284Q8—1724no—
2285Q8—1722no—
2286Q8—1722no—
2287Q8—1724no—
2288D4—24no—
2289D4—24no—
2290D4—28no—
2291D4—28no—
2292D4—28no—
2293D4—28no—
2294D4—24no—
2295D4—24no—
2296D4—44no—
2297D4—44no—
2298D4—44no—
2299D4—44no—
2300D4—42no—
2301D4—42no—
2302D4—44no—
2303D4—864no—
2304D4—868no—
2305D4—864no—
2306D4—864no—
2307D4—868no—
2308D4—868no—
2309D4—864no—
2310D4—1724no—
2311D4—1722no—
2312D4—1724no—
2313D4—1724no—
2314D4—1724no—
2315D4—1724no—
2316D4—1724no—
2317D4—1724no—
2318D4—1724no—
2319D4—1722no—
2320D4—1724no—
2321D4—1724no—
2322D4—1724no—
2323D4—1724no—
2324C2×C4—24no—
2325C2×C4—22no—
2326C2×C4—24no—
2327C2×C4—22no—
2328C2×C4—22no—
2329C2×C4—22no—
2330C2×C4—24no—
2331C2×C4—42no—
2332C2×C4—41no—
2333C2×C4—41no—
2334C2×C4—41no—
2335C2×C4—41no—
2336C2×C4—44no—
2337C2×C4—44no—
2338C2×C4—44no—
2339C2×C4—41no—
2340C2×C4—431no—
2341C2×C4—431no—
2342C2×C4—431no—
2343C2×C4—432no—
2344C2×C4—434no—
2345C2×C4—431no—
2346C2×C4—431no—
2347C2×C4—431no—
2348C2×C4—431no—
2349C2×C4—431no—
2350C2×C4—434no—
2351C2×C4—432no—
2352C2×C4—434no—
2353C2×C4—432no—
2354C2×C4—862no—
2355C2×C4—862no—
2356C2×C4—862no—
2357C2×C4—868no—
2358C2×C4—862no—
2359C2×C4—862no—
2360C2×C4—862no—
2361C2×C4—862no—
2362C2×C4—862no—
2363C2×C4—862no—
2364C2×C4—864no—
2365C2×C4—862no—
2366C2×C4—864no—
2367C2×C4—1724no—
2368C2×C4—1724no—
2369C2×C4—1722no—
2370C2×C4—1724no—
2371C2×C4—1724no—
2372C2×C4—1724no—
2373C2×C4—1724no—
2374C2×C4—1724no—
2375C2×C4—1724no—
2376C2×C4—1724no—
2377C2×C4—1721no—
2378C2×C4—1721no—
2379C2×C4—1722no—
2380C2×C4—1721no—
2381C2×C4—1721no—
2382C2×C4—1724no—
2383C2×C4—1721no—
2384C2×C4—1722no—
2385C2×C4—1724no—
2386C2×C4—1724no—
2387C2×C4C24×D4311yescharacteristic
2388C2×C4C24×D4311yescharacteristic
2389C2×C4C24×D4311yescharacteristic
2390C2×C4C24×D4312yes—
2391C2×C4C24×D4312yes—
2392C2×C4C24×D4314yes—
2393C2×C4C24×D4314yes—
2394C2×C4C24×D4312yes—
2395C2×C4C24×D4311yescharacteristic
2396C22—21no—
2397C22—21no—
2398C22—21no—
2399C22—21no—
2400C22—21no—
2401C22—21no—
2402C22—22no—
2403C22—24no—
2404C22—24no—
2405C22—24no—
2406C22—24no—
2407C22—22no—
2408C22—22no—
2409C22—24no—
2410C22—24no—
2411C22—44no—
2412C22—84no—
2413C22—84no—
2414C22—82no—
2415C22—164no—
2416C22—864no—
2417C22—862no—
2418C22—864no—
2419C22—862no—
2420C22—862no—
2421C22—864no—
2422C22—3444no—
2423C22—3442no—
2424C22—6884no—
2425C22C2×#1306337012yes—
2426C22C2×#1306337012yes—
2427C22C2×#1306337012yes—
2428C22C25×D4311yescharacteristic
2429C4—22no—
2430C4—24no—
2431C4—24no—
2432C4—22no—
2433C4—21no—
2434C4—22no—
2435C4—21no—
2436C4—21no—
2437C4—432no—
2438C4—861no—
2439C4—861no—
2440C4—861no—
2441C4—861no—
2442C4—862no—
2443C4—864no—
2444C4—861no—
2445C4—864no—
2446C4—861no—
2447C4—861no—
2448C4—862no—
2449C4—862no—
2450C4—864no—
2451C4#1458373412yes—
2452C2—22no—
2453C2—22no—
2454C2—22no—
2455C2—42no—
2456C2—44no—
2457C2—44no—
2458C2—1722no—
2459C2—1724no—
2460C2C22×#1306337011yescharacteristic
2461C2#585×D4311yescharacteristic
2462C2C2×#1458373411yescharacteristic
subgroupG/H
center, FrattiniC22C25×D43
commutator, socle, cosocleC22×C43C26
FittingC43×#3496C2
hypercenter#3496D43
hypocenterC43#62822
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ #3496

Complements

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

NH ≅ G/Ntype
1. #19149144C2semidirect
2. #19149139C2semidirect
3. #19149137C2semidirect
4. #19149124C2semidirect
5. #19149122C2semidirect
6. #19149109C2semidirect
7. #19149107C2semidirect
8. #19148942C2semidirect
9. #19148931C2semidirect
10. #19148920C2semidirect
11. #19148673C2semidirect
12. #19148672C2semidirect
13. #19148621C2semidirect
14. #19148614C2semidirect
15. #19148530C2semidirect
16. #19148528C2semidirect
17. #19148520C2semidirect
18. #19148434C2semidirect
19. #19148432C2semidirect
20. #19148429C2semidirect
21. #19148354C2semidirect
22. #19148352C2semidirect
23. #19148325C2semidirect
24. #19148324C2semidirect
25. #19148317C2semidirect
26. #19148236C2semidirect
27. #19148235C2semidirect
28. C2×#14583444C2semidirect
29. C2×#14583430C2semidirect
30. C2×#14583429C2semidirect
31. C43×#3496C2semidirect
32. C2×#13063370C22semidirect
33. C22×#10621900C22semidirect
34. #14583652C22semidirect
35. #14583650C22semidirect
36. #14583650C22semidirect
37. #14583646C22semidirect
38. #14583644C22semidirect
39. #14583642C22semidirect
40. #14583638C22semidirect
41. #14583637C22semidirect
42. #14583635C22semidirect
43. #14583633C22semidirect
44. #14583632C22semidirect
45. #14583632C22semidirect
46. #14583629C22semidirect
47. #14583613C22semidirect
48. #14583613C22semidirect
49. #14583611C22semidirect
50. #14583610C22semidirect
51. #14583608C22semidirect
52. #14583608C22semidirect
53. #14583604C22semidirect
54. #14583603C22semidirect
55. #14583601C22semidirect
56. #14583601C22semidirect
57. #14583598C22semidirect
58. #14583598C22semidirect
59. #14583597C22semidirect
60. #14583596C22semidirect
61. #14583596C22semidirect
62. #14583595C22semidirect
63. #14583594C22semidirect
64. #14583592C22semidirect
65. #14583592C22semidirect
66. #14583592C22semidirect
67. #14583592C22semidirect
68. #14583592C22semidirect
69. #14583589C22semidirect
70. #14583586C22semidirect
71. #14583584C22semidirect
72. #14583580C22semidirect
73. #14583580C22semidirect
74. #14583579C22semidirect
75. #14583578C22semidirect
76. #14583578C22semidirect
77. #14583576C22semidirect
78. #14583575C22semidirect
79. #14583575C22semidirect
80. #14583575C22semidirect
81. #14583572C22semidirect
82. #14583569C22semidirect
83. #14583567C22semidirect
84. #14583558C22semidirect
85. #14583555C22semidirect
86. #14583555C22semidirect
87. #14583550C22semidirect
88. #14583549C22semidirect
89. #14583549C22semidirect
90. #14583549C22semidirect
91. #14583548C22semidirect
92. #14583548C22semidirect
93. #14583548C22semidirect
94. #14583548C22semidirect
95. #14583548C22semidirect
96. #14583548C22semidirect
97. #14583547C22semidirect
98. #14583547C22semidirect
99. #14583546C22semidirect
100. #14583545C22semidirect
101. #14583543C22semidirect
102. #14583543C22semidirect
103. #14583543C22semidirect
104. #14583543C22semidirect
105. #14583543C22semidirect
106. #14583543C22semidirect
107. #14583543C22semidirect
108. #14583543C22semidirect
109. #14583539C22semidirect
110. #14583538C22semidirect
111. #14583538C22semidirect
112. #14583538C22semidirect
113. #14583537C22semidirect
114. #14583537C22semidirect
115. #14583536C22semidirect
116. #14583536C22semidirect
117. #14583536C22semidirect
118. #14583536C22semidirect
119. #14583533C22semidirect
120. D4×C22⋊D43C22semidirect
121. D4×C22⋊D43C22semidirect
122. D4×C22⋊D43C22semidirect
123. D4×C22⋊D43C22semidirect
124. #14583530C22semidirect
125. #14583528C22semidirect
126. #14583526C22semidirect
127. #14583523C22semidirect
128. #14583519C22semidirect
129. #14583517C22semidirect
130. #14583517C22semidirect
131. #14583516C22semidirect
132. #14583516C22semidirect
133. #14583514C22semidirect
134. #14583514C22semidirect
135. #14583513C22semidirect
136. #14583513C22semidirect
137. #14583503C22semidirect
138. #14583502C22semidirect
139. #14583502C22semidirect
140. #14583500C22semidirect
141. #14583499C22semidirect
142. #14583499C22semidirect
143. #14583498C22semidirect
144. #14583496C22semidirect
145. #14583495C22semidirect
146. #14583494C22semidirect
147. #14583494C22semidirect
148. #14583493C22semidirect
149. #14583492C22semidirect
150. #14583487C22semidirect
151. #14583487C22semidirect
152. #14583486C22semidirect
153. #14583486C22semidirect
154. #14583485C22semidirect
155. #14583484C22semidirect
156. #14583484C22semidirect
157. #14583484C22semidirect
158. #14583484C22semidirect
159. #14583481C22semidirect
160. #14583481C22semidirect
161. #14583477C22semidirect
162. #14583476C22semidirect
163. #14583471C22semidirect
164. #14583470C22semidirect
165. #14583466C22semidirect
166. #14583464C22semidirect
167. #14583462C22semidirect
168. #14583459C22semidirect
169. #14583458C22semidirect
170. #14583458C22semidirect
171. #14583458C22semidirect
172. #14583458C22semidirect
173. #14583458C22semidirect
174. #14583457C22semidirect
175. #14583445C22semidirect
176. #14583444C22semidirect
177. #14583444C22semidirect
178. #14583444C22semidirect
179. #14583444C22semidirect
180. #14583444C22semidirect
181. #14583444C22semidirect
182. #14583444C22semidirect
183. #14583444C22semidirect
184. #14583444C22semidirect
185. C2×#13063324C22semidirect
186. C2×#13063321C22semidirect
187. #14583433C22semidirect
188. #14583430C22semidirect
189. #14583430C22semidirect
190. #14583430C22semidirect
191. #14583430C22semidirect
192. #14583430C22semidirect
193. #14583430C22semidirect
194. #14583430C22semidirect
195. #14583430C22semidirect
196. #14583430C22semidirect
197. #14583429C22semidirect
198. #14583429C22semidirect
199. #14583429C22semidirect
200. #14583429C22semidirect
201. #14583429C22semidirect
202. #14583429C22semidirect
203. #14583429C22semidirect
204. #14583429C22semidirect
205. #14583426C22semidirect
206. C2×#13063320C22semidirect
207. C2×#13063318C22semidirect
208. C2×#13063318C22semidirect
209. C2×#13063316C22semidirect
210. C2×#13063315C22semidirect
211. C2×#13063312C22semidirect
212. C2×#13063311C22semidirect
213. C2×#13063311C22semidirect
214. #14583410C22semidirect
215. #14583409C22semidirect
216. #14583406C22semidirect
217. #14583405C22semidirect
218. #14583405C22semidirect
219. C2×#13063309C22semidirect
220. C2×#13063306C22semidirect
221. C2×#13063306C22semidirect
222. C2×#13063306C22semidirect
223. #123×D43C22semidirect
224. C2×#13063304C22semidirect
225. C2×#13063302C22semidirect
226. C2×#13063299C22semidirect
228. C2×#13063297C22semidirect
229. C2×#13063297C22semidirect
230. #121×D43C22semidirect
231. #14583380C22semidirect
232. #14583378C22semidirect
233. #14583378C22semidirect
234. #14583374C22semidirect
235. #14583374C22semidirect
236. #14583372C22semidirect
237. #14583372C22semidirect
238. #14583371C22semidirect
239. C2×C4×Dic86C22semidirect
240. C2×#13063290C22semidirect
241. C2×D4×Dic43C22semidirect
242. C2×D4×Dic43C22semidirect
243. C2×D4×Dic43C22semidirect
244. C2×#13063287C22semidirect
245. C2×C4×C22⋊D43C22semidirect
246. C2×C4×C22⋊D43C22semidirect
247. C2×(C22⋊D43)⋊C4C22semidirect
248. C2×#13063284C22semidirect
249. C2×#13063282C22semidirect
250. C2×#13063281C22semidirect
251. C22×C4×Dic43C22semidirect
252. C2×H(5,𝔽2)×C43C22semidirect
253. C43×#547C22semidirect
254. C43×#547C22semidirect
255. C43×#546C22semidirect
256. C43×#546C22semidirect
257. D42×C43C22semidirect
258. D42×C43C22semidirect
259. C43×#537C22semidirect
260. C43×#534C22semidirect
261. C43×#534C22semidirect
262. C43×#532C22semidirect
264. C2×#121×C43C22semidirect
265. C2×#121×C43C22semidirect
266. C2×C4×D4×C43C22semidirect
1243. #3496D43semidirect
1264. C2×H(5,𝔽2)C2×D43semidirect
1331. #547C2×D43semidirect
1332. #547C2×D43semidirect
1353. #546C2×D43semidirect
1354. #546C2×D43semidirect
1360. D42C2×D43semidirect
1361. D42C2×D43semidirect
1401. #537C2×D43semidirect
1414. #534C2×D43semidirect
1415. #534C2×D43semidirect
1426. #532C2×D43semidirect
1474. C2×#121C2×D43semidirect
1475. C2×#121C2×D43semidirect
1493. C2×C4×D4C2×D43semidirect
1498. C43#62822semidirect

Maximal subgroups

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

subgroupindex
#191491442
#191491392
#191491372
#191491242
#191491222
#191491092
#191491072
#191489422
#191489312
#191489202
#191486732
#191486722
#191486212
#191486142
#191485302
#191485282
#191485202
#191484342
#191484322
#191484292
#191483542
#191483522
#191483252
#191483242
#191483172
#191482362
#191482352
C2×#145834442
C2×#145834302
C2×#145834292
C43×#34962
#6282243