Finite Group Databasebeta

← #25963125

Subgroups — #25963125

Order 11008.

5126 conjugacy classes of subgroups.

The subgroup lattice has 1682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×H(5,𝔽2)×D43C211yesmaximal, characteristic, complemented
2C2×#14583703C211yesmaximal, characteristic, complemented
3C2×#14583700C211yesmaximal, characteristic, complemented
4#19148262C211yesmaximal, characteristic, complemented
5#19143902C211yesmaximal, characteristic, complemented
6#19143899C211yesmaximal, characteristic, complemented
7#19143897C212yesmaximal, complemented
8#19143894C212yesmaximal, complemented
9#19143861C211yesmaximal, characteristic, complemented
10#19143860C212yesmaximal, complemented
11#19143858C212yesmaximal, complemented
12#19143844C212yesmaximal, complemented
13#19143843C211yesmaximal, characteristic, complemented
14#19143824C211yesmaximal, characteristic, complemented
15#19143819C212yesmaximal, complemented
16#19143815C211yesmaximal, characteristic, complemented
17#19143810C212yesmaximal, complemented
18C2×#14583031C211yesmaximal, characteristic, complemented
19#447×D43C212yesmaximal, complemented
20#19143120C211yesmaximal, characteristic, complemented
21#19143117C211yesmaximal, characteristic, complemented
22#19143043C211yesmaximal, characteristic, complemented
23C43×#3008C211yesmaximal, characteristic, complemented
24C2×#13063371—21no—
25C2×#13063371C2211yescharacteristic
26C2×#13063371C2211yescharacteristic, complemented
27C2×#13063371C2212yescomplemented
28C2×#13063370—22no—
29C2×#13063370—21no—
30C2×#13063370C2211yescharacteristic
31C2×#13063370C2212yescomplemented
32C2×#13063370C2211yescharacteristic, complemented
33H(5,𝔽2)×D43—28no—
34H(5,𝔽2)×D43—28no—
35C2×#41×D43—21no—
36C2×#41×D43C2211yescharacteristic
37C2×#41×D43C2212yescomplemented
38C2×#41×D43C2211yescharacteristic, complemented
39C22×D4×D43—22no—
40C22×D4×D43—21no—
41C22×D4×D43C2212yescomplemented
42C22×D4×D43C2211yescharacteristic, complemented
43#14583703—28no—
44#14583700—28no—
45C2×#13063353C2211yescharacteristic, complemented
46C2×#13063352C2212yescomplemented
47C2×#13063351C2211yescharacteristic, complemented
48C2×#13063351C2211yescharacteristic, complemented
49C2×#13063349C2212yescomplemented
50C2×#13063349C2212yescomplemented
51C2×#13063349C2212yescomplemented
52C2×#13063347C2211yescharacteristic, complemented
53C2×#13063346C2212yescomplemented
54C2×#13063345C2211yescharacteristic, complemented
55C2×#13063344C2212yescomplemented
56C22×#10621882C2211yescharacteristic, complemented
57C2×D8×D43C2212yescomplemented
58C2×D8×D43C2212yescomplemented
59C2×#13063333C2211yescharacteristic, complemented
60C2×#13063331C2211yescharacteristic, complemented
61#14583569—21no—
62#14583557—21no—
63#14583542—21no—
64#14583536—22no—
65#14583534—21no—
66#14583531—22no—
67#14583478C2212yescomplemented
68#14583477C2211yescharacteristic, complemented
69#14583465C2212yescomplemented
70#14583411C2211yescharacteristic, complemented
71#14583409C2212yescomplemented
72C2×#13063296C2211yescharacteristic, complemented
73#121×D43C2212yescomplemented
74#14583379C2211yescharacteristic, complemented
75#14583064C2211yescharacteristic, complemented
76#14583063C2212yescomplemented
77#14583062C2211yescharacteristic, complemented
78#14583061C2212yescomplemented
79#14583056C2211yescharacteristic, complemented
80#14583052C2212yescomplemented
81#14583051C2212yescomplemented
82#14583051C2211yescharacteristic, complemented
83#14583051C2212yescomplemented
84#14583050C2212yescomplemented
85#14583047C2211yescharacteristic, complemented
86#14583046C2212yescomplemented
87#14583045C2211yescharacteristic, complemented
88#14583044C2212yescomplemented
89#14583043C2212yescomplemented
90#14583042C2212yescomplemented
91#14583042C2212yescomplemented
92#14583041C2212yescomplemented
93#14583039C2211yescharacteristic, complemented
94#14583036C2212yescomplemented
95#14583035C2212yescomplemented
96#14583034C2211yescharacteristic, complemented
97#14583034C2212yescomplemented
98#14583034C2212yescomplemented
99#14583033C2212yescomplemented
100#14583032C2212yescomplemented
101#14583032C2212yescomplemented
102#14583031C2212yescomplemented
103#14583031C2212yescomplemented
104#14583031C2212yescomplemented
105#14583031C2212yescomplemented
106#14583031C2212yescomplemented
107#14582903C2211yescharacteristic, complemented
108#14582902C2212yescomplemented
109#14582902C2212yescomplemented
110#14582901C2211yescharacteristic, complemented
111#14582900C2211yescharacteristic, complemented
112#14582899C2212yescomplemented
113#14582897C2212yescomplemented
114#14582894C2212yescomplemented
115#14582893C2211yescharacteristic, complemented
116#14582892C2212yescomplemented
117C2×#13063247C2211yescharacteristic, complemented
118C2×#13063246C2211yescharacteristic, complemented
119#102×D43C2212yescomplemented
120#102×D43C2212yescomplemented
121#14582866C2211yescharacteristic, complemented
122#14582864C2212yescomplemented
123#14582864C2212yescomplemented
124#14582862C2211yescharacteristic, complemented
125#14582861C2212yescomplemented
126C2×(C2×D43)⋊C8C2211yescharacteristic, complemented
127C22⋊C8×D43C2212yescomplemented
128C2×H(5,𝔽2)×C43C2211yescharacteristic, complemented
129C2×AGL(1,ℤ/8)×C43C2211yescharacteristic, complemented
130C22×D8×C43C2211yescharacteristic, complemented
131C43×#535C2211yescharacteristic, complemented
132C43×#449C2212yescomplemented
133C43×#449C2212yescomplemented
134C43×#447C2212yescomplemented
135C43×#447C2212yescomplemented
136C43×#418C2211yescharacteristic, complemented
137C43×#416C2211yescharacteristic, complemented
138C43×#408C2211yescharacteristic, complemented
139C24×D43—22no—
140C24×D43—21no—
141#13063371—216no—
142#13063371—28no—
143#13063371—28no—
144#13063371—24no—
145#13063371—24no—
146#13063371—24no—
147#13063371D418yescomplemented
148#13063370—232no—
149#13063370—216no—
150#13063370—28no—
151#13063370—28no—
152#13063370—24no—
153#13063370—24no—
154#13063370—24no—
155#13063370D418yescomplemented
156C2×#10621902—21no—
157C2×#10621902D411yescharacteristic
158C2×#10621902C2311yescharacteristic
159C2×#10621902C2312yes—
160C2×#10621898—22no—
161C2×#10621898—21no—
162C2×#10621898—21no—
163C2×#10621898—22no—
164C2×#10621898C2312yes—
165C2×#10621898C2311yescharacteristic
166C2×#10621898C2312yes—
167C2×#10621898C2311yescharacteristic
168C2×#10621898C2311yescharacteristic, complemented
169C2×#10621900—21no—
170C2×#10621900—22no—
171C2×#10621900—21no—
172C2×#10621900—22no—
173C2×#10621900—21no—
174C2×#10621900D411yescharacteristic
175C2×#10621900D412yes—
176C2×#10621900C2311yescharacteristic
177C2×#10621900C2312yes—
178C2×#10621900C2312yescomplemented
179#41×D43—216no—
180#41×D43—24no—
181#41×D43—28no—
182#41×D43—28no—
183#41×D43—24no—
184#41×D43—24no—
185#41×D43—24no—
186C2×Q8×D43D411yescharacteristic
187C2×Q8×D43C2311yescharacteristic
188C22×D172—21no—
189C22×D172—22no—
190C22×D172C2312yes—
191C22×D172C2311yescharacteristic
192C22×C22⋊D43—22no—
193C22×C22⋊D43—22no—
194C22×C22⋊D43—22no—
195C22×C22⋊D43—21no—
196C22×C22⋊D43—22no—
197C22×C22⋊D43—21no—
198C22×C22⋊D43—22no—
199C2×D4×D43—232no—
200C2×D4×D43—216no—
201C2×D4×D43—22no—
202C2×D4×D43—21no—
203C2×D4×D43—22no—
204C2×D4×D43—21no—
205C2×D4×D43—24no—
206C2×D4×D43—22no—
207C2×D4×D43—22no—
208C2×D4×D43—22no—
209C2×D4×D43—28no—
210C2×D4×D43—28no—
211C2×D4×D43—22no—
212C2×D4×D43—21no—
213C2×D4×D43—22no—
214C2×D4×D43—21no—
215C2×D4×D43—24no—
216C2×D4×D43—22no—
217C2×D4×D43—21no—
218C2×D4×D43—22no—
219C2×D4×D43—21no—
220C2×D4×D43D412yes—
221C2×D4×D43D411yescharacteristic
222C2×D4×D43C2312yes—
223C2×D4×D43C2311yescharacteristic
224C2×D4×D43C2312yes—
225C2×D4×D43C2312yes—
226C2×D4×D43C2312yes—
227C2×D4×D43C2312yescomplemented
228C22×C4×D43—22no—
229C22×C4×D43—21no—
230C22×C4×D43C2312yes—
231C22×C4×D43C2311yescharacteristic
232#13063353—24no—
233#13063352—28no—
234#13063351—24no—
235#13063351—24no—
236#13063349—28no—
237#13063349—28no—
238#13063349—28no—
239#13063347—24no—
240#13063346—28no—
241#13063345—24no—
242#13063344—28no—
243C2×Dic172C2311yescharacteristic, complemented
244C2×#10621885C2311yescharacteristic, complemented
245C2×#10621873C2311yescharacteristic, complemented
246C2×#10621873C2312yescomplemented
247C2×#10621873C2311yescharacteristic, complemented
248C2×#10621883C2312yescomplemented
249C2×#10621883C2311yescharacteristic, complemented
250C2×#10621883C2312yescomplemented
251C2×#10621884C2311yescharacteristic, complemented
252C2×D344C2312yescomplemented
253C2×D344C2311yescharacteristic, complemented
254C2×#10621882—24no—
255C2×#10621882C2312yescomplemented
256C2×#10621882C2312yescomplemented
257C2×#10621882C2312yescomplemented
258C2×#10621882C2312yescomplemented
259C2×#10621882C2311yescharacteristic, complemented
260D8×D43—28no—
261D8×D43—28no—
262#13063333—24no—
263#13063331—24no—
264C2×#10621877C2311yescharacteristic, complemented
265C2×#10621872C2312yescomplemented
266C2×#10621872C2312yescomplemented
267C22×C43⋊C8C2311yescharacteristic, complemented
268C2×C8×D43C2312yescomplemented
269C2×C8×D43C2312yescomplemented
270#13063321—22no—
271#13063311—22no—
272#13063309—21no—
273#13063307—22no—
274#13063305C2311yescharacteristic
275#13063305C2311yescharacteristic, complemented
276#13063304C2312yescomplemented
277#13063302—22no—
278#13063301—21no—
279#13063300C2311yescharacteristic
280#13063300C2311yescharacteristic, complemented
281#13063299C2312yescomplemented
282#13063298—22no—
283#13063298—22no—
284#13063297—22no—
285#13063297—22no—
286#13063297—22no—
287#13063296—21no—
288#13063296—22no—
289#13063296—21no—
290#13063296—21no—
291#13063296C2312yes—
292#13063296C2312yescomplemented
293#13063295—21no—
294#13063295—22no—
295#13063293—22no—
296#13063293—22no—
297C4×Dic86—21no—
298C4×D172—21no—
299C4×D172—21no—
300C4×D172—21no—
301D4×Dic43—22no—
302(C22⋊D43)⋊C4—22no—
303(C22⋊D43)⋊C4—22no—
304#13063283C2312yescomplemented
305C2×C4⋊Dic43C2311yescharacteristic, complemented
306C4⋊C4×D43C2312yescomplemented
307C2×C22⋊Dic43—21no—
308C22⋊C4×D43—22no—
309#13063250C2312yescomplemented
310#13063249C2312yescomplemented
311#13063248C2311yescharacteristic, complemented
312#13063248C2311yescharacteristic, complemented
313#13063247C2312yescomplemented
314#13063247C2312yescomplemented
315#13063247C2312yescomplemented
316#13063246C2312yescomplemented
317#13063246C2312yescomplemented
318#13063246C2312yescomplemented
319#13063245C2312yescomplemented
320#13063245C2312yescomplemented
321#13063245C2311yescharacteristic, complemented
322#13063245C2311yescharacteristic, complemented
323C22⋊(C43⋊C8)C2312yescomplemented
324C22⋊(C43⋊C8)C2312yescomplemented
325(C2×D43)⋊C8C2312yes—
326(C2×D43)⋊C8C2311yescharacteristic
327(C2×D43)⋊C8C2311yescharacteristic
328(C2×D43)⋊C8C2312yescomplemented
329(C2×D43)⋊C8C2311yescharacteristic, complemented
330(C2×D43)⋊C8C2311yescharacteristic, complemented
331H(5,𝔽2)×C43—24no—
332H(5,𝔽2)×C43—24no—
333C2×#41×C43—21no—
334C2×#41×C43C2312yes—
335C2×#41×C43C2311yescharacteristic
336C2×#41×C43C2311yescharacteristic
337C22×D4×C43—22no—
338C22×D4×C43—21no—
339C22×D4×C43C2312yes—
340C22×D4×C43C2311yescharacteristic
341C22×D4×C43C2311yescharacteristic, complemented
342AGL(1,ℤ/8)×C43—24no—
343C2×SD16×C43C2312yescomplemented
344C2×D8×C43—24no—
345C2×D8×C43C2312yescomplemented
346C2×D8×C43C2312yescomplemented
347C2×D8×C43C2312yescomplemented
348C2×M16×C43C2311yescharacteristic, complemented
349C22×C8×C43C2311yescharacteristic, complemented
350#127×C43—21no—
351#124×C43—21no—
352#121×C43C2312yescomplemented
353#121×C43C2312yescomplemented
354#120×C43—22no—
355#117×C43C2311yescharacteristic, complemented
356#103×C43C2311yescharacteristic, complemented
357#103×C43C2311yescharacteristic, complemented
358#102×C43C2311yescharacteristic, complemented
359#102×C43C2312yescomplemented
360#102×C43C2312yescomplemented
361#102×C43C2311yescharacteristic, complemented
362C22⋊C8×C43C2312yescomplemented
363C22⋊C8×C43C2312yescomplemented
364C24×C43—22no—
365C24×C43—21no—
366C24×C43—21no—
367C23×D43—28no—
368C23×D43—216no—
369C23×D43—22no—
370C23×D43—21no—
371C23×D43—22no—
372C23×D43—21no—
373C23×D43—22no—
374C23×D43—22no—
375C23×D43—22no—
376C23×D43—22no—
377C23×D43—84no—
378C23×D43—82no—
379C23×D43—84no—
380C23×D43—82no—
381C23×D43C2×D412yes—
382C23×D43C2×D411yescharacteristic
383#41×C43—28no—
384#41×C43—24no—
385#41×C43—24no—
386#41×C43—22no—
387#41×C43—22no—
388#41×C43—22no—
389#41×C43C2×D414yescomplemented
390C2×Q8×C43C2×D411yescharacteristic
391C2×Q8×C43C2411yescharacteristic
392C2×D4×C43—28no—
393C2×D4×C43—216no—
394C2×D4×C43—24no—
395C2×D4×C43—24no—
396C2×D4×C43—22no—
397C2×D4×C43—21no—
398C2×D4×C43—22no—
399C2×D4×C43—21no—
400C2×D4×C43—22no—
401C2×D4×C43—21no—
402C2×D4×C43—22no—
403C2×D4×C43—22no—
404C2×D4×C43—22no—
405C2×D4×C43—22no—
406C2×D4×C43C2×D412yes—
407C2×D4×C43C2×D411yescharacteristic
408C2×D4×C43C2×D414yescomplemented
409C2×D4×C43C2412yes—
410C2×D4×C43C2412yes—
411C2×D4×C43C2411yescharacteristic
412C22×C4×C43—22no—
413C22×C4×C43—21no—
414C22×C4×C43C2412yes—
415C22×C4×C43C2411yescharacteristic
416C2×C22⋊D43—216no—
417C2×C22⋊D43—216no—
418C2×C22⋊D43—28no—
419C2×C22⋊D43—216no—
420C2×C22⋊D43—216no—
421C2×C22⋊D43—21no—
422C2×C22⋊D43—22no—
423C2×C22⋊D43—22no—
424C2×C22⋊D43—22no—
425C2×C22⋊D43—22no—
426C2×C22⋊D43—22no—
427C2×C22⋊D43—22no—
428C2×C22⋊D43—21no—
429C2×C22⋊D43—21no—
430C2×C22⋊D43—22no—
431C2×C22⋊D43—21no—
432C2×C22⋊D43—22no—
433C2×C22⋊D43—22no—
434C2×C22⋊D43—22no—
435C2×C22⋊D43—22no—
436C2×C22⋊D43—48no—
437C2×C22⋊D43—82no—
438C2×C22⋊D43C2×D412yes—
439C2×C22⋊D43C2×D412yes—
440C2×C22⋊D43C2×D412yes—
441C22×Dic43—21no—
442C22×Dic43—22no—
443C22×Dic43—22no—
444C22×Dic43—21no—
445C22×Dic43C2×D411yescharacteristic
446C22×Dic43C2×D412yes—
447#10621902—28no—
448#10621902—22no—
449#10621902—24no—
450#10621902—22no—
451#10621902—24no—
452#10621902C2×D418yescomplemented
453Q8×D43—22no—
454Q8×D43—24no—
455Q8×D43—22no—
456#10621900—28no—
457#10621900—216no—
458#10621900—216no—
459#10621900—22no—
460#10621900—28no—
461#10621900—24no—
462#10621900—24no—
463#10621900—24no—
464#10621900—28no—
465#10621900—24no—
466#10621900—22no—
467#10621900—44no—
468#10621900C2×D418yescomplemented
469D4×D43—28no—
470D4×D43—216no—
471D4×D43—28no—
472D4×D43—216no—
473D4×D43—28no—
474D4×D43—28no—
475D4×D43—216no—
476D4×D43—216no—
477D4×D43—216no—
478D4×D43—216no—
479D4×D43—216no—
480D4×D43—24no—
481D4×D43—22no—
482D4×D43—24no—
483D4×D43—28no—
484D4×D43—216no—
485D4×D43—24no—
486D4×D43—28no—
487D4×D43—22no—
488D4×D43—24no—
489D4×D43—24no—
490D4×D43—24no—
491D4×D43—24no—
492D4×D43—24no—
493D4×D43—24no—
494D4×D43—44no—
495D4×D43—84no—
496D4×D43C2×D418yescomplemented
497D4×D43C2×D418yescomplemented
498#10621898—216no—
499#10621898—28no—
500#10621898—216no—
501#10621898—22no—
502#10621898—24no—
503#10621898—24no—
504#10621898—24no—
505#10621898—22no—
506#10621898—22no—
507#10621898—28no—
508#10621898—24no—
509#10621898C2×D414yes—
510#10621898C2×D414yes—
511#10621898C2×D414yescomplemented
512C2×D172—216no—
513C2×D172—22no—
514C2×D172—21no—
515C2×D172—22no—
516C2×D172—28no—
517C2×D172—24no—
518C2×D172—24no—
519C2×D172—21no—
520C2×D172—22no—
521C2×D172—21no—
522C2×D172—21no—
523C2×D172C2×D412yes—
524C2×D172C2×D411yescharacteristic
525C2×D172C2×D414yescomplemented
526C2×D172C2411yescharacteristic
527C2×D172C2411yescharacteristic
528C2×D172C2412yes—
529C2×C4×D43—28no—
530C2×C4×D43—216no—
531C2×C4×D43—22no—
532C2×C4×D43—21no—
533C2×C4×D43—22no—
534C2×C4×D43—22no—
535C2×C4×D43—21no—
536C2×C4×D43—22no—
537C2×C4×D43—24no—
538C2×C4×D43—24no—
539C2×C4×D43—21no—
540C2×C4×D43—21no—
541C2×C4×D43—22no—
542C2×C4×D43C2×D412yes—
543C2×C4×D43C2×D412yes—
544C2×C4×D43C2×D411yescharacteristic
545C2×C4×D43C2×D411yescharacteristic
546C2×C4×D43C2411yescharacteristic
547C2×C4×D43C2411yescharacteristic
548C2×C4×D43C2412yes—
549C2×Dic86—21no—
550C2×Dic86C2×D412yes—
551C2×Dic86C2×D411yescharacteristic
552C2×Dic86C2411yescharacteristic
553C2×Dic86C2411yescharacteristic
554SD16×C43—24no—
555D8×C43—24no—
556D8×C43—24no—
557D8×C43—24no—
558M16×C43—22no—
559C2×C8×C43—22no—
560C2×C8×C43C2412yes—
561C2×C8×C43C2411yescharacteristic
562C2×C8×C43C2411yescharacteristic
563C4⋊C4×C43C2411yescharacteristic
564C4⋊C4×C43C2411yescharacteristic
565C22⋊C4×C43—22no—
566C22⋊C4×C43—22no—
567C22⋊C4×C43—21no—
568C42×C43—21no—
569C22⋊Dic43—22no—
570C22⋊Dic43—22no—
571C22⋊Dic43—22no—
572#10621885—22no—
573#10621884—22no—
574#10621883—24no—
575#10621883—22no—
576#10621883—24no—
577#10621882—22no—
578#10621882—24no—
579#10621882—24no—
580#10621882—24no—
581#10621882—24no—
582(C2×D43)⋊C4—22no—
583(C2×D43)⋊C4—21no—
584(C2×D43)⋊C4—21no—
585(C2×D43)⋊C4—22no—
586(C2×D43)⋊C4—21no—
587(C2×D43)⋊C4—21no—
588C4⋊Dic43—21no—
589C4⋊Dic43—21no—
590C4⋊Dic43—21no—
591C4⋊Dic43C2412yes—
592Dic43⋊C4—22no—
593Dic43⋊C4—22no—
594C4×Dic43—22no—
595#10621877—22no—
596C2×C43⋊C8—22no—
597C2×C43⋊C8C2412yes—
598C2×C43⋊C8C2411yescharacteristic
599C2×C43⋊C8C2411yescharacteristic
600Dic172—22no—
601D344—22no—
602D344—24no—
603#10621873—24no—
604#10621873—22no—
605#10621873—22no—
606#10621872—24no—
607#10621872—24no—
608C8×D43—24no—
609C8×D43—24no—
610C23×C43—28no—
611C23×C43—22no—
612C23×C43—21no—
613C23×C43—24no—
614C23×C43—22no—
615C23×C43—42no—
616C23×C43—81no—
617C23×C43—81no—
618C23×C43—82no—
619C23×C43—82no—
620C23×C43—81no—
621C23×C43—81no—
622C23×C43C22×D412yes—
623C23×C43C22×D411yescharacteristic
624C22×D43—28no—
625C22×D43—24no—
626C22×D43—22no—
627C22×D43—22no—
628C22×D43—21no—
629C22×D43—28no—
630C22×D43—28no—
631C22×D43—24no—
632C22×D43—24no—
633C22×D43—24no—
634C22×D43—22no—
635C22×D43—28no—
636C22×D43—28no—
637C22×D43—21no—
638C22×D43—42no—
639C22×D43—41no—
640C22×D43—42no—
641C22×D43—44no—
642C22×D43—42no—
643C22×D43—44no—
644C22×D43—44no—
645C22×D43—82no—
646C22×D43—82no—
647C22×D43—82no—
648C22×D43—82no—
649C22×D43—82no—
650C22×D43—82no—
651C22×D43—82no—
652C22×D43—82no—
653C22×D43—832no—
654C22×D43—816no—
655C22×D43—81no—
656C22×D43—82no—
657C22×D43—81no—
658C22×D43—82no—
659C22×D43C22×D411yescharacteristic
660C22×D43C22×D412yes—
661C22×D43C22×D411yescharacteristic
662Q8×C43—22no—
663Q8×C43—21no—
664Q8×C43C22×D412yes—
665D4×C43—28no—
666D4×C43—28no—
667D4×C43—24no—
668D4×C43—24no—
669D4×C43—22no—
670D4×C43—24no—
671D4×C43—22no—
672D4×C43—21no—
673D4×C43—22no—
674D4×C43—22no—
675D4×C43—42no—
676D4×C43—82no—
677D4×C43—82no—
678D4×C43C22×D414yes—
679D4×C43C22×D412yes—
680C2×C4×C43—28no—
681C2×C4×C43—21no—
682C2×C4×C43—24no—
683C2×C4×C43—22no—
684C2×C4×C43—22no—
685C2×C4×C43—21no—
686C2×C4×C43—21no—
687C2×C4×C43C22×D412yes—
688C2×C4×C43C22×D411yescharacteristic
689C2×C4×C43C22×D412yes—
690C2×C4×C43C22×D412yes—
691C2×C4×C43C2511yescharacteristic
692C22⋊D43—28no—
693C22⋊D43—28no—
694C22⋊D43—24no—
695C22⋊D43—28no—
696C22⋊D43—24no—
697C22⋊D43—24no—
698C22⋊D43—24no—
699C22⋊D43—28no—
700C22⋊D43—24no—
701C22⋊D43—28no—
702C22⋊D43—28no—
703C22⋊D43—42no—
704C22⋊D43—44no—
705C22⋊D43—44no—
706C22⋊D43—44no—
707C22⋊D43—82no—
708C22⋊D43—82no—
709C22⋊D43#12018yes—
710C2×Dic43—24no—
711C2×Dic43—22no—
712C2×Dic43—21no—
713C2×Dic43—24no—
714C2×Dic43—28no—
715C2×Dic43—22no—
716C2×Dic43—21no—
717C2×Dic43—44no—
718C2×Dic43—81no—
719C2×Dic43C22×D411yescharacteristic
720C2×Dic43C22×D411yescharacteristic
721C2×Dic43C22×D412yes—
722D172—24no—
723D172—28no—
724D172—28no—
725D172—24no—
726D172—24no—
727D172—21no—
728D172—22no—
729D172—21no—
730D172—21no—
731D172—42no—
732D172—81no—
733D172#12014yes—
734D172C22×D412yes—
735D172C22×D414yes—
736C4×D43—24no—
737C4×D43—24no—
738C4×D43—28no—
739C4×D43—24no—
740C4×D43—22no—
741C4×D43—24no—
742C4×D43—22no—
743C4×D43—21no—
744C4×D43—21no—
745C4×D43—21no—
746C4×D43—21no—
747C4×D43—24no—
748C4×D43—28no—
749C4×D43—42no—
750C4×D43—82no—
751C4×D43C22×D414yes—
752C4×D43C22×D414yes—
753Dic86—24no—
754Dic86—21no—
755Dic86—24no—
756Dic86—21no—
757Dic86—21no—
758Dic86#12014yes—
759Dic86C22×D412yes—
760C8×C43—21no—
761C8×C43—22no—
762C8×C43—21no—
763C43⋊C8—21no—
764C43⋊C8—22no—
765C43⋊C8—21no—
766#60372—431nomaximal, Sylow
767C22×C43—21no—
768C22×C43—21no—
769C22×C43—22no—
770C22×C43—24no—
771C22×C43—22no—
772C22×C43—22no—
773C22×C43—22no—
774C22×C43—41no—
775C22×C43—42no—
776C22×C43—41no—
777C22×C43—42no—
778C22×C43—42no—
779C22×C43—42no—
780C22×C43—42no—
781C22×C43—84no—
782C22×C43—88no—
783C22×C43—162no—
784C22×C43C2×#12012yes—
785C22×C43C23×D411yescharacteristic
786C2×D43—21no—
787C2×D43—22no—
788C2×D43—21no—
789C2×D43—22no—
790C2×D43—21no—
791C2×D43—24no—
792C2×D43—22no—
793C2×D43—21no—
794C2×D43—21no—
795C2×D43—48no—
796C2×D43—44no—
797C2×D43—48no—
798C2×D43—416no—
799C2×D43—41no—
800C2×D43—42no—
801C2×D43—41no—
802C2×D43—42no—
803C2×D43—41no—
804C2×D43—41no—
805C2×D43—41no—
806C2×D43—88no—
807C2×D43—88no—
808C2×D43—84no—
809C2×D43—88no—
810C2×D43—88no—
811C2×D43—164no—
812C2×D43C2×#12014yes—
813C2×D43#57612yescomplemented
814C4×C43—22no—
815C4×C43—22no—
816C4×C43—41no—
817C4×C43—41no—
818C4×C43C2×#12012yes—
819C4×C43C23×D411yescharacteristic
820C4×C43C23×D411yescharacteristic
821Dic43—21no—
822Dic43—21no—
823Dic43—22no—
824Dic43—41no—
825Dic43—42no—
826Dic43C2×#12014yes—
827C22×H(5,𝔽2)—431no—
828C2×#576—431no—
829C2×#576—431no—
830#3488—431no—
831#3012—432no—
832#3012—432no—
833#3012—431no—
834#3012—431no—
835#3008—432no—
836#3008—432no—
837#3008—431no—
838#3008D4311yescharacteristic, complemented
839#3006—432no—
840#3006—431no—
841#3003—432no—
842#3003—431no—
843#3002—432no—
844#3002—431no—
845C2×#447—432no—
846C2×#447—431no—
847#2897—431no—
848#2897—431no—
849#2880—431no—
850C2×C43—22no—
851C2×C43—42no—
852C2×C43—42no—
853C2×C43—44no—
854C2×C43—82no—
855C2×C43C22×#12011yescharacteristic
856C2×C43C2×#57611yescharacteristic
857C2×C43#358511yescharacteristic
858D43—22no—
859D43—24no—
860D43—41no—
861D43—42no—
862D43—44no—
863D43—81no—
864C2×H(5,𝔽2)—431no—
865C2×H(5,𝔽2)—432no—
866C2×H(5,𝔽2)—431no—
867C2×H(5,𝔽2)—431no—
868C2×H(5,𝔽2)—432no—
869C2×H(5,𝔽2)—431no—
870C2×H(5,𝔽2)—862no—
871C2×H(5,𝔽2)—861no—
872C2×H(5,𝔽2)—861no—
873C2×H(5,𝔽2)—868no—
874C2×H(5,𝔽2)—868no—
875C2×H(5,𝔽2)C2×D4311yescharacteristic, complemented
876C22×#41—431no—
877C22×#41—432no—
878C22×#41—431no—
879C22×#41—861no—
880C23×D4—432no—
881C23×D4—431no—
882C23×D4—862no—
883C23×D4—861no—
884#576—868no—
885#576—868no—
886C2×AGL(1,ℤ/8)—431no—
887C2×AGL(1,ℤ/8)—431no—
888C2×AGL(1,ℤ/8)—432no—
889C2×AGL(1,ℤ/8)—432no—
890C2×AGL(1,ℤ/8)—432no—
891C2×AGL(1,ℤ/8)—432no—
892C2×AGL(1,ℤ/8)—431no—
893C2×AGL(1,ℤ/8)C2×D4311yescharacteristic, complemented
894C2×#135—431no—
895C2×#135—432no—
896C2×#135—432no—
897C2×#135—431no—
898C22×D8—431no—
899C22×D8—432no—
900C22×D8—432no—
901C22×D8C2×D4311yescharacteristic, complemented
902C2×#131—431no—
903C2×#131—431no—
904#550—861no—
905#548—861no—
906#546—862no—
907#546—861no—
908D42—862no—
909D42—861no—
910#537—431no—
911#537—432no—
912#535—432no—
913#535C2×D4311yescharacteristic, complemented
914#525—432no—
915#525—431no—
916C2×#121—431no—
917C2×#121—432no—
918#520—431no—
919#452—432no—
920#452—431no—
921#452—431no—
922#452—432no—
923#451—431no—
924#450—432no—
925#450—432no—
926#450—431no—
927#450—432no—
928#450—432no—
929#449—432no—
930#449—432no—
931#449—432no—
932#449—432no—
933#449—432no—
934#449—431no—
935#449—431no—
936#449—432no—
937#449C2×D4312yescomplemented
938#449C2×D4312yescomplemented
939#448—432no—
940#448—431no—
941#447—432no—
942#447—432no—
943#447—432no—
944#447—432no—
945#447—432no—
946#447—432no—
947#447—432no—
948#447—432no—
949#447—431no—
950#447—432no—
951#447—432no—
952#447—432no—
953#447C2×D4312yescomplemented
954#447C2×D4312yescomplemented
955#418—431no—
956#418—432no—
957#418—432no—
958#418C2×D4311yescharacteristic, complemented
959#417—431no—
960#417—431no—
961#417—432no—
962#417—432no—
963#416—431no—
964#416—432no—
965#416—432no—
966#416C2×D4311yescharacteristic, complemented
967C2×#102—431no—
968C2×#102—431no—
969C2×#102—432no—
970C2×#102—432no—
971#408—431no—
972#408—432no—
973#408—432no—
974#408C2×D4311yescharacteristic, complemented
975#407—431no—
976#407—432no—
977C2×C22⋊C8—431no—
978C2×C22⋊C8—432no—
979C43#6037211yescharacteristic, complemented, Sylow
980C25—862no—
981C25—861no—
982H(5,𝔽2)—24no—
983H(5,𝔽2)—24no—
984H(5,𝔽2)—438no—
985H(5,𝔽2)—438no—
986H(5,𝔽2)—868no—
987H(5,𝔽2)—868no—
988H(5,𝔽2)—864no—
989H(5,𝔽2)—8632no—
990H(5,𝔽2)—8616no—
991H(5,𝔽2)—864no—
992H(5,𝔽2)—864no—
993H(5,𝔽2)—868no—
994H(5,𝔽2)—864no—
995H(5,𝔽2)—864no—
996H(5,𝔽2)—868no—
997H(5,𝔽2)—864no—
998H(5,𝔽2)—8616no—
999C2×#41—21no—
1000C2×#41—431no—
1001C2×#41—432no—
1002C2×#41—431no—
1003C2×#41—431no—
1004C2×#41—432no—
1005C2×#41—432no—
1006C2×#41—431no—
1007C2×#41—432no—
1008C2×#41—432no—
1009C2×#41—431no—
1010C2×#41—431no—
1011C2×#41—431no—
1012C2×#41—432no—
1013C2×#41—862no—
1014C2×#41—861no—
1015C2×#41—861no—
1016C2×#41—862no—
1017C2×#41—861no—
1018C2×#41—862no—
1019C2×#41—861no—
1020C2×#41—862no—
1021C2×#41—861no—
1022C2×#41—864no—
1023C2×#41—864no—
1024C2×#41—868no—
1025C2×#41—868no—
1026C2×#41—864no—
1027C2×#41—8616no—
1028C2×#41—864no—
1029C2×#41—861no—
1030C2×#41C22×D4312yes—
1031C2×#41C22×D4311yescharacteristic
1032C2×#41C22×D4311yescharacteristic
1033C22×Q8—431no—
1034C22×Q8—431no—
1035C22×D4—22no—
1036C22×D4—21no—
1037C22×D4—432no—
1038C22×D4—432no—
1039C22×D4—432no—
1040C22×D4—431no—
1041C22×D4—432no—
1042C22×D4—432no—
1043C22×D4—431no—
1044C22×D4—432no—
1045C22×D4—431no—
1046C22×D4—432no—
1047C22×D4—861no—
1048C22×D4—862no—
1049C22×D4—862no—
1050C22×D4—861no—
1051C22×D4—862no—
1052C22×D4—861no—
1053C22×D4—861no—
1054C22×D4—862no—
1055C22×D4—868no—
1056C22×D4—868no—
1057C22×D4—864no—
1058C22×D4—862no—
1059C22×D4—862no—
1060C22×D4—862no—
1061C22×D4—861no—
1062C22×D4—862no—
1063C22×D4—861no—
1064C22×D4—862no—
1065C22×D4—861no—
1066C22×D4—8616no—
1067C22×D4—8632no—
1068C22×D4—862no—
1069C22×D4—862no—
1070C22×D4—862no—
1071C22×D4—862no—
1072C22×D4—862no—
1073C22×D4—862no—
1074C22×D4—861no—
1075C22×D4—864no—
1076C22×D4—861no—
1077C22×D4C22×D4312yes—
1078C22×D4C22×D4311yescharacteristic
1079C22×D4C22×D4311yescharacteristic, complemented
1080C23×C4—432no—
1081C23×C4—431no—
1082C23×C4—862no—
1083C23×C4—861no—
1084AGL(1,ℤ/8)—24no—
1085AGL(1,ℤ/8)—864no—
1086AGL(1,ℤ/8)—868no—
1087AGL(1,ℤ/8)—868no—
1088AGL(1,ℤ/8)—868no—
1089AGL(1,ℤ/8)—868no—
1090AGL(1,ℤ/8)—864no—
1091AGL(1,ℤ/8)—864no—
1092#135—864no—
1093#135—868no—
1094#135—868no—
1095#135—864no—
1096C2×Q16—431no—
1097C2×Q16—431no—
1098C2×SD16—431no—
1099C2×SD16—432no—
1100C2×SD16—431no—
1101C2×SD16—432no—
1102C2×SD16—431no—
1103C2×SD16—431no—
1104C2×SD16—432no—
1105C2×SD16C22×D4312yescomplemented
1106C2×D8—24no—
1107C2×D8—432no—
1108C2×D8—431no—
1109C2×D8—432no—
1110C2×D8—432no—
1111C2×D8—432no—
1112C2×D8—431no—
1113C2×D8—432no—
1114C2×D8—868no—
1115C2×D8—868no—
1116C2×D8—864no—
1117C2×D8C22×D4312yescomplemented
1118C2×D8C22×D4312yescomplemented
1119C2×D8C22×D4312yescomplemented
1120#131—864no—
1121#131—864no—
1122C2×M16—431no—
1123C2×M16—432no—
1124C2×M16—432no—
1125C2×M16C22×D4311yescharacteristic, complemented
1126C22×C8—431no—
1127C22×C8—432no—
1128C22×C8—432no—
1129C22×C8C22×D4311yescharacteristic, complemented
1130#127—21no—
1131#127—862no—
1132#124—21no—
1133#124—862no—
1134#123—862no—
1135#123—861no—
1136C22⋊Q8—432no—
1137C22⋊Q8—431no—
1138C22⋊Q8—431no—
1139C22⋊Q8—862no—
1140C22⋊Q8—861no—
1141#121—432no—
1142#121—432no—
1143#121—432no—
1144#121—431no—
1145#121—431no—
1146#121—862no—
1147#121—862no—
1148#121—861no—
1149#121—861no—
1150#121—862no—
1151#121—862no—
1152#121—862no—
1153#121—862no—
1154#121—861no—
1155#121C22×D4312yescomplemented
1156#121C22×D4312yescomplemented
1157#120—22no—
1158#120—862no—
1159#120—861no—
1160#120—862no—
1161#120—862no—
1162C4×Q8—861no—
1163C4×D4—861no—
1164C4×D4—861no—
1165C4×D4—861no—
1166C4×D4—862no—
1167C4×D4—862no—
1168C4×D4—862no—
1169#117—432no—
1170#117C22×D4311yescharacteristic, complemented
1171C2×C4⋊C4—431no—
1172C2×C4⋊C4—432no—
1173C2×C22⋊C4—862no—
1174C2×C22⋊C4—861no—
1175#103—432no—
1176#103—432no—
1177#103—431no—
1178#103—431no—
1179#103C22×D4311yescharacteristic, complemented
1180#103C22×D4311yescharacteristic, complemented
1181#102—432no—
1182#102—432no—
1183#102—432no—
1184#102—432no—
1185#102—432no—
1186#102—432no—
1187#102—431no—
1188#102—432no—
1189#102—432no—
1190#102—431no—
1191#102C22×D4311yescharacteristic, complemented
1192#102C22×D4312yescomplemented
1193#102C22×D4312yescomplemented
1194#102C22×D4311yescharacteristic, complemented
1195C22⋊C8—432no—
1196C22⋊C8—432no—
1197C22⋊C8—431no—
1198C22⋊C8—431no—
1199C22⋊C8—432no—
1200C22⋊C8—431no—
1201C22⋊C8—431no—
1202C22⋊C8—432no—
1203C22⋊C8C22×D4312yescomplemented
1204C22⋊C8C22×D4312yescomplemented
1205C24—22no—
1206C24—21no—
1207C24—21no—
1208C24—432no—
1209C24—431no—
1210C24—862no—
1211C24—862no—
1212C24—862no—
1213C24—862no—
1214C24—861no—
1215C24—862no—
1216C24—8616no—
1217C24—868no—
1218C24—862no—
1219C24—861no—
1220C24—3442no—
1221C24—3444no—
1222C24—3442no—
1223C24—3444no—
1224#41—28no—
1225#41—24no—
1226#41—24no—
1227#41—22no—
1228#41—22no—
1229#41—22no—
1230#41—434no—
1231#41—434no—
1232#41—438no—
1233#41—438no—
1234#41—434no—
1235#41—864no—
1236#41—864no—
1237#41—864no—
1238#41—864no—
1239#41—868no—
1240#41—8616no—
1241#41—8616no—
1242#41—868no—
1243#41—864no—
1244#41—864no—
1245#41—864no—
1246#41—864no—
1247#41—868no—
1248#41—864no—
1249#41—862no—
1250#41—868no—
1251#41—8616no—
1252#41—8616no—
1253#41—868no—
1254#41—864no—
1255#41—862no—
1256#41—868no—
1257#41—862no—
1258#41—862no—
1259#41—862no—
1260#41—862no—
1261#41—862no—
1262#41—1724no—
1263#41D4×D4314yescomplemented
1264C2×Q8—431no—
1265C2×Q8—432no—
1266C2×Q8—431no—
1267C2×Q8—431no—
1268C2×Q8—861no—
1269C2×Q8—864no—
1270C2×Q8—862no—
1271C2×Q8—862no—
1272C2×Q8D4×D4311yescharacteristic
1273C2×Q8C23×D4311yescharacteristic
1274C2×D4—216no—
1275C2×D4—28no—
1276C2×D4—22no—
1277C2×D4—21no—
1278C2×D4—24no—
1279C2×D4—24no—
1280C2×D4—22no—
1281C2×D4—22no—
1282C2×D4—22no—
1283C2×D4—21no—
1284C2×D4—22no—
1285C2×D4—22no—
1286C2×D4—22no—
1287C2×D4—21no—
1288C2×D4—432no—
1289C2×D4—438no—
1290C2×D4—438no—
1291C2×D4—432no—
1292C2×D4—432no—
1293C2×D4—431no—
1294C2×D4—434no—
1295C2×D4—432no—
1296C2×D4—432no—
1297C2×D4—431no—
1298C2×D4—431no—
1299C2×D4—864no—
1300C2×D4—864no—
1301C2×D4—868no—
1302C2×D4—862no—
1303C2×D4—861no—
1304C2×D4—8616no—
1305C2×D4—861no—
1306C2×D4—861no—
1307C2×D4—864no—
1308C2×D4—864no—
1309C2×D4—864no—
1310C2×D4—864no—
1311C2×D4—862no—
1312C2×D4—862no—
1313C2×D4—862no—
1314C2×D4—861no—
1315C2×D4—862no—
1316C2×D4—862no—
1317C2×D4—868no—
1318C2×D4—864no—
1319C2×D4—864no—
1320C2×D4—862no—
1321C2×D4—864no—
1322C2×D4—8616no—
1323C2×D4—868no—
1324C2×D4—8616no—
1325C2×D4—8616no—
1326C2×D4—868no—
1327C2×D4—868no—
1328C2×D4—8616no—
1329C2×D4—8616no—
1330C2×D4—8616no—
1331C2×D4—8616no—
1332C2×D4—8616no—
1333C2×D4—868no—
1334C2×D4—868no—
1335C2×D4—8616no—
1336C2×D4—862no—
1337C2×D4—861no—
1338C2×D4—8616no—
1339C2×D4—8616no—
1340C2×D4—8616no—
1341C2×D4—868no—
1342C2×D4—862no—
1343C2×D4—861no—
1344C2×D4—862no—
1345C2×D4—864no—
1346C2×D4—864no—
1347C2×D4—862no—
1348C2×D4—862no—
1349C2×D4—862no—
1350C2×D4—862no—
1351C2×D4—861no—
1352C2×D4—862no—
1353C2×D4—861no—
1354C2×D4—862no—
1355C2×D4—3444no—
1356C2×D4—3442no—
1357C2×D4—1724no—
1358C2×D4—1728no—
1359C2×D4D4×D4312yes—
1360C2×D4D4×D4311yescharacteristic
1361C2×D4D4×D4314yescomplemented
1362C2×D4C23×D4312yes—
1363C2×D4C23×D4311yescharacteristic
1364C2×D4C23×D4312yes—
1365C22×C4—22no—
1366C22×C4—21no—
1367C22×C4—432no—
1368C22×C4—431no—
1369C22×C4—432no—
1370C22×C4—432no—
1371C22×C4—432no—
1372C22×C4—431no—
1373C22×C4—431no—
1374C22×C4—431no—
1375C22×C4—431no—
1376C22×C4—864no—
1377C22×C4—864no—
1378C22×C4—862no—
1379C22×C4—861no—
1380C22×C4—861no—
1381C22×C4—8616no—
1382C22×C4—868no—
1383C22×C4—862no—
1384C22×C4—862no—
1385C22×C4—861no—
1386C22×C4—862no—
1387C22×C4—862no—
1388C22×C4—862no—
1389C22×C4—862no—
1390C22×C4—861no—
1391C22×C4—861no—
1392C22×C4—861no—
1393C22×C4C23×D4312yes—
1394C22×C4C23×D4311yescharacteristic
1395Q16—862no—
1396Q16—862no—
1397SD16—24no—
1398SD16—862no—
1399SD16—864no—
1400SD16—862no—
1401SD16—864no—
1402SD16—862no—
1403SD16—862no—
1404SD16—864no—
1405D8—24no—
1406D8—24no—
1407D8—24no—
1408D8—862no—
1409D8—864no—
1410D8—864no—
1411D8—864no—
1412D8—864no—
1413D8—862no—
1414D8—864no—
1415M16—22no—
1416M16—864no—
1417M16—864no—
1418M16—862no—
1419C2×C8—22no—
1420C2×C8—431no—
1421C2×C8—432no—
1422C2×C8—431no—
1423C2×C8—864no—
1424C2×C8—864no—
1425C2×C8—862no—
1426C2×C8C23×D4311yescharacteristic
1427C2×C8C23×D4311yescharacteristic
1428C2×C8C23×D4312yes—
1429C4⋊C4—432no—
1430C4⋊C4—862no—
1431C4⋊C4—861no—
1432C4⋊C4—861no—
1433C4⋊C4—861no—
1434C4⋊C4—862no—
1435C4⋊C4C23×D4311yescharacteristic
1436C4⋊C4C23×D4311yescharacteristic
1437C22⋊C4—21no—
1438C22⋊C4—22no—
1439C22⋊C4—22no—
1440C22⋊C4—861no—
1441C22⋊C4—861no—
1442C22⋊C4—862no—
1443C22⋊C4—861no—
1444C22⋊C4—861no—
1445C22⋊C4—862no—
1446C22⋊C4—862no—
1447C22⋊C4—862no—
1448C22⋊C4—862no—
1449C42—21no—
1450C42—862no—
1451C23—28no—
1452C23—22no—
1453C23—21no—
1454C23—24no—
1455C23—22no—
1456C23—42no—
1457C23—81no—
1458C23—81no—
1459C23—82no—
1460C23—82no—
1461C23—81no—
1462C23—81no—
1463C23—431no—
1464C23—432no—
1465C23—431no—
1466C23—868no—
1467C23—868no—
1468C23—864no—
1469C23—862no—
1470C23—864no—
1471C23—868no—
1472C23—868no—
1473C23—868no—
1474C23—864no—
1475C23—864no—
1476C23—862no—
1477C23—862no—
1478C23—861no—
1479C23—861no—
1480C23—3441no—
1481C23—3441no—
1482C23—3442no—
1483C23—3442no—
1484C23—3442no—
1485C23—3442no—
1486C23—3442no—
1487C23—3442no—
1488C23—3442no—
1489C23—3442no—
1490C23—3442no—
1491C23—3442no—
1492C23—34416no—
1493C23—34432no—
1494C23—1721no—
1495C23—1722no—
1496C23—1724no—
1497C23—1722no—
1498C23—1724no—
1499C23—1724no—
1500C23—1722no—
1501C23C2×D4×D4312yes—
1502C23C2×D4×D4311yescharacteristic
1503Q8—22no—
1504Q8—21no—
1505Q8—434no—
1506Q8—432no—
1507Q8—864no—
1508Q8—864no—
1509Q8—861no—
1510Q8—861no—
1511Q8—861no—
1512Q8C2×D4×D4312yes—
1513D4—28no—
1514D4—28no—
1515D4—24no—
1516D4—24no—
1517D4—22no—
1518D4—24no—
1519D4—22no—
1520D4—21no—
1521D4—22no—
1522D4—22no—
1523D4—42no—
1524D4—82no—
1525D4—82no—
1526D4—438no—
1527D4—434no—
1528D4—434no—
1529D4—432no—
1530D4—864no—
1531D4—868no—
1532D4—864no—
1533D4—868no—
1534D4—864no—
1535D4—868no—
1536D4—868no—
1537D4—864no—
1538D4—868no—
1539D4—868no—
1540D4—864no—
1541D4—868no—
1542D4—868no—
1543D4—864no—
1544D4—864no—
1545D4—864no—
1546D4—861no—
1547D4—862no—
1548D4—861no—
1549D4—861no—
1550D4—3441no—
1551D4—3442no—
1552D4—3442no—
1553D4—1722no—
1554D4—1724no—
1555D4—1724no—
1556D4—1724no—
1557D4—1722no—
1558D4C2×D4×D4312yes—
1559D4C2×D4×D4314yes—
1560C2×C4—28no—
1561C2×C4—21no—
1562C2×C4—24no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—432no—
1568C2×C4—434no—
1569C2×C4—434no—
1570C2×C4—431no—
1571C2×C4—431no—
1572C2×C4—864no—
1573C2×C4—868no—
1574C2×C4—864no—
1575C2×C4—864no—
1576C2×C4—864no—
1577C2×C4—868no—
1578C2×C4—864no—
1579C2×C4—868no—
1580C2×C4—864no—
1581C2×C4—862no—
1582C2×C4—861no—
1583C2×C4—862no—
1584C2×C4—862no—
1585C2×C4—864no—
1586C2×C4—861no—
1587C2×C4—861no—
1588C2×C4—861no—
1589C2×C4—861no—
1590C2×C4—862no—
1591C2×C4—861no—
1592C2×C4—3442no—
1593C2×C4—3441no—
1594C2×C4—1724no—
1595C2×C4—1722no—
1596C2×C4C2×D4×D4312yes—
1597C2×C4C2×D4×D4311yescharacteristic
1598C2×C4C2×D4×D4312yes—
1599C2×C4C2×D4×D4312yes—
1600C2×C4C24×D4311yescharacteristic
1601C8—21no—
1602C8—21no—
1603C8—22no—
1604C8—861no—
1605C8—861no—
1606C8—862no—
1607C22—21no—
1608C22—21no—
1609C22—22no—
1610C22—22no—
1611C22—24no—
1612C22—22no—
1613C22—22no—
1614C22—42no—
1615C22—41no—
1616C22—42no—
1617C22—41no—
1618C22—42no—
1619C22—42no—
1620C22—42no—
1621C22—84no—
1622C22—88no—
1623C22—162no—
1624C22—432no—
1625C22—434no—
1626C22—862no—
1627C22—861no—
1628C22—862no—
1629C22—861no—
1630C22—861no—
1631C22—864no—
1632C22—862no—
1633C22—861no—
1634C22—861no—
1635C22—3444no—
1636C22—3448no—
1637C22—3448no—
1638C22—3448no—
1639C22—3448no—
1640C22—1724no—
1641C22—1728no—
1642C22—17216no—
1643C22—1728no—
1644C22—1721no—
1645C22—1721no—
1646C22—1721no—
1647C22—1722no—
1648C22—1721no—
1649C22—1722no—
1650C22—1721no—
1651C22—6884no—
1652C22#120×D4312yes—
1653C22C22×D4×D4311yescharacteristic
1654C4—22no—
1655C4—22no—
1656C4—41no—
1657C4—41no—
1658C4—434no—
1659C4—861no—
1660C4—861no—
1661C4—862no—
1662C4—1722no—
1663C4—1721no—
1664C4#120×D4312yes—
1665C4C22×D4×D4311yescharacteristic
1666C4C22×D4×D4311yescharacteristic
1667C2—22no—
1668C2—42no—
1669C2—44no—
1670C2—42no—
1671C2—82no—
1672C2—864no—
1673C2—862no—
1674C2—3441no—
1675C2—1721no—
1676C2—1724no—
1677C2—1722no—
1678C2C2×#120×D4311yescharacteristic
1679C2#576×D4311yescharacteristic
1680C2#1914937011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3008C2
socleC22×C43C23×D4
hypercenter#3008D43
hypocenterC43#60372
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C2×#41 ◁ #3008

Complements

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

NH ≅ G/Ntype
1. C2×H(5,𝔽2)×D43C2semidirect
2. C2×#14583703C2semidirect
3. C2×#14583700C2semidirect
4. #19148262C2semidirect
5. #19143902C2semidirect
6. #19143899C2semidirect
7. #19143897C2semidirect
8. #19143894C2semidirect
9. #19143861C2semidirect
10. #19143860C2semidirect
11. #19143858C2semidirect
12. #19143844C2semidirect
13. #19143843C2semidirect
14. #19143824C2semidirect
15. #19143819C2semidirect
16. #19143815C2semidirect
17. #19143810C2semidirect
18. C2×#14583031C2semidirect
19. #447×D43C2semidirect
20. #19143120C2semidirect
21. #19143117C2semidirect
22. #19143043C2semidirect
23. C43×#3008C2semidirect
26. C2×#13063371C22semidirect
27. C2×#13063371C22semidirect
31. C2×#13063370C22semidirect
32. C2×#13063370C22semidirect
37. C2×#41×D43C22semidirect
38. C2×#41×D43C22semidirect
41. C22×D4×D43C22semidirect
42. C22×D4×D43C22semidirect
45. C2×#13063353C22semidirect
46. C2×#13063352C22semidirect
47. C2×#13063351C22semidirect
48. C2×#13063351C22semidirect
49. C2×#13063349C22semidirect
50. C2×#13063349C22semidirect
51. C2×#13063349C22semidirect
52. C2×#13063347C22semidirect
53. C2×#13063346C22semidirect
54. C2×#13063345C22semidirect
55. C2×#13063344C22semidirect
56. C22×#10621882C22semidirect
57. C2×D8×D43C22semidirect
58. C2×D8×D43C22semidirect
59. C2×#13063333C22semidirect
60. C2×#13063331C22semidirect
67. #14583478C22semidirect
68. #14583477C22semidirect
69. #14583465C22semidirect
70. #14583411C22semidirect
71. #14583409C22semidirect
72. C2×#13063296C22semidirect
73. #121×D43C22semidirect
74. #14583379C22semidirect
75. #14583064C22semidirect
76. #14583063C22semidirect
77. #14583062C22semidirect
78. #14583061C22semidirect
79. #14583056C22semidirect
80. #14583052C22semidirect
81. #14583051C22semidirect
82. #14583051C22semidirect
83. #14583051C22semidirect
84. #14583050C22semidirect
85. #14583047C22semidirect
86. #14583046C22semidirect
87. #14583045C22semidirect
88. #14583044C22semidirect
89. #14583043C22semidirect
90. #14583042C22semidirect
91. #14583042C22semidirect
92. #14583041C22semidirect
93. #14583039C22semidirect
94. #14583036C22semidirect
95. #14583035C22semidirect
96. #14583034C22semidirect
97. #14583034C22semidirect
98. #14583034C22semidirect
99. #14583033C22semidirect
100. #14583032C22semidirect
101. #14583032C22semidirect
102. #14583031C22semidirect
103. #14583031C22semidirect
104. #14583031C22semidirect
105. #14583031C22semidirect
106. #14583031C22semidirect
107. #14582903C22semidirect
108. #14582902C22semidirect
109. #14582902C22semidirect
110. #14582901C22semidirect
111. #14582900C22semidirect
112. #14582899C22semidirect
113. #14582897C22semidirect
114. #14582894C22semidirect
115. #14582893C22semidirect
116. #14582892C22semidirect
117. C2×#13063247C22semidirect
118. C2×#13063246C22semidirect
119. #102×D43C22semidirect
120. #102×D43C22semidirect
121. #14582866C22semidirect
122. #14582864C22semidirect
123. #14582864C22semidirect
124. #14582862C22semidirect
125. #14582861C22semidirect
126. C2×(C2×D43)⋊C8C22semidirect
127. C22⋊C8×D43C22semidirect
128. C2×H(5,𝔽2)×C43C22semidirect
129. C2×AGL(1,ℤ/8)×C43C22semidirect
130. C22×D8×C43C22semidirect
131. C43×#535C22semidirect
132. C43×#449C22semidirect
133. C43×#449C22semidirect
134. C43×#447C22semidirect
135. C43×#447C22semidirect
136. C43×#418C22semidirect
137. C43×#416C22semidirect
138. C43×#408C22semidirect
147. #13063371D4semidirect
155. #13063370D4semidirect
168. C2×#10621898C23semidirect
178. C2×#10621900C23semidirect
227. C2×D4×D43C23semidirect
243. C2×Dic172C23semidirect
244. C2×#10621885C23semidirect
245. C2×#10621873C23semidirect
246. C2×#10621873C23semidirect
247. C2×#10621873C23semidirect
248. C2×#10621883C23semidirect
249. C2×#10621883C23semidirect
250. C2×#10621883C23semidirect
251. C2×#10621884C23semidirect
252. C2×D344C23semidirect
253. C2×D344C23semidirect
255. C2×#10621882C23semidirect
256. C2×#10621882C23semidirect
257. C2×#10621882C23semidirect
258. C2×#10621882C23semidirect
259. C2×#10621882C23semidirect
264. C2×#10621877C23semidirect
265. C2×#10621872C23semidirect
266. C2×#10621872C23semidirect
267. C22×C43⋊C8C23semidirect
268. C2×C8×D43C23semidirect
269. C2×C8×D43C23semidirect
275. #13063305C23semidirect
276. #13063304C23semidirect
280. #13063300C23semidirect
281. #13063299C23semidirect
292. #13063296C23semidirect
304. #13063283C23semidirect
305. C2×C4⋊Dic43C23semidirect
306. C4⋊C4×D43C23semidirect
309. #13063250C23semidirect
310. #13063249C23semidirect
311. #13063248C23semidirect
312. #13063248C23semidirect
313. #13063247C23semidirect
314. #13063247C23semidirect
315. #13063247C23semidirect
316. #13063246C23semidirect
317. #13063246C23semidirect
318. #13063246C23semidirect
319. #13063245C23semidirect
320. #13063245C23semidirect
321. #13063245C23semidirect
322. #13063245C23semidirect
323. C22⋊(C43⋊C8)C23semidirect
324. C22⋊(C43⋊C8)C23semidirect
328. (C2×D43)⋊C8C23semidirect
329. (C2×D43)⋊C8C23semidirect
330. (C2×D43)⋊C8C23semidirect
341. C22×D4×C43C23semidirect
343. C2×SD16×C43C23semidirect
345. C2×D8×C43C23semidirect
346. C2×D8×C43C23semidirect
347. C2×D8×C43C23semidirect
348. C2×M16×C43C23semidirect
349. C22×C8×C43C23semidirect
352. #121×C43C23semidirect
353. #121×C43C23semidirect
355. #117×C43C23semidirect
356. #103×C43C23semidirect
357. #103×C43C23semidirect
358. #102×C43C23semidirect
359. #102×C43C23semidirect
360. #102×C43C23semidirect
361. #102×C43C23semidirect
362. C22⋊C8×C43C23semidirect
363. C22⋊C8×C43C23semidirect
389. #41×C43C2×D4semidirect
408. C2×D4×C43C2×D4semidirect
452. #10621902C2×D4semidirect
468. #10621900C2×D4semidirect
496. D4×D43C2×D4semidirect
497. D4×D43C2×D4semidirect
511. #10621898C2×D4semidirect
525. C2×D172C2×D4semidirect
813. C2×D43#576semidirect
838. #3008D43semidirect
875. C2×H(5,𝔽2)C2×D43semidirect
893. C2×AGL(1,ℤ/8)C2×D43semidirect
901. C22×D8C2×D43semidirect
913. #535C2×D43semidirect
937. #449C2×D43semidirect
938. #449C2×D43semidirect
953. #447C2×D43semidirect
954. #447C2×D43semidirect
958. #418C2×D43semidirect
966. #416C2×D43semidirect
974. #408C2×D43semidirect
979. C43#60372semidirect
1079. C22×D4C22×D43semidirect
1105. C2×SD16C22×D43semidirect
1117. C2×D8C22×D43semidirect
1118. C2×D8C22×D43semidirect
1119. C2×D8C22×D43semidirect
1125. C2×M16C22×D43semidirect
1129. C22×C8C22×D43semidirect
1155. #121C22×D43semidirect
1156. #121C22×D43semidirect
1170. #117C22×D43semidirect
1179. #103C22×D43semidirect
1180. #103C22×D43semidirect
1191. #102C22×D43semidirect
1192. #102C22×D43semidirect
1193. #102C22×D43semidirect
1194. #102C22×D43semidirect
1203. C22⋊C8C22×D43semidirect
1204. C22⋊C8C22×D43semidirect
1263. #41D4×D43semidirect
1361. C2×D4D4×D43semidirect

Maximal subgroups

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

subgroupindex
C2×H(5,𝔽2)×D432
C2×#145837032
C2×#145837002
#191482622
#191439022
#191438992
#191438972
#191438942
#191438612
#191438602
#191438582
#191438442
#191438432
#191438242
#191438192
#191438152
#191438102
C2×#145830312
#447×D432
#191431202
#191431172
#191430432
C43×#30082
#6037243