Finite Group Databasebeta

← #27082806

Subgroups — #27082806

Order 12032.

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)×D47C211yesmaximal, characteristic, complemented
2C2×#15689927C211yesmaximal, characteristic, complemented
3C2×#15689924C211yesmaximal, characteristic, complemented
4#20257055C211yesmaximal, characteristic, complemented
5#20252695C211yesmaximal, characteristic, complemented
6#20252692C211yesmaximal, characteristic, complemented
7#20252690C212yesmaximal, complemented
8#20252687C212yesmaximal, complemented
9#20252654C211yesmaximal, characteristic, complemented
10#20252653C212yesmaximal, complemented
11#20252651C212yesmaximal, complemented
12#20252637C212yesmaximal, complemented
13#20252636C211yesmaximal, characteristic, complemented
14#20252617C211yesmaximal, characteristic, complemented
15#20252612C212yesmaximal, complemented
16#20252608C211yesmaximal, characteristic, complemented
17#20252603C212yesmaximal, complemented
18C2×#15689255C211yesmaximal, characteristic, complemented
19#447×D47C212yesmaximal, complemented
20#20251913C211yesmaximal, characteristic, complemented
21#20251910C211yesmaximal, characteristic, complemented
22#20251836C211yesmaximal, characteristic, complemented
23C47×#3008C211yesmaximal, characteristic, complemented
24C2×#13094070—21no—
25C2×#13094070C2211yescharacteristic
26C2×#13094070C2211yescharacteristic, complemented
27C2×#13094070C2212yescomplemented
28C2×#13094069—22no—
29C2×#13094069—21no—
30C2×#13094069C2211yescharacteristic
31C2×#13094069C2212yescomplemented
32C2×#13094069C2211yescharacteristic, complemented
33H(5,𝔽2)×D47—28no—
34H(5,𝔽2)×D47—28no—
35C2×#41×D47—21no—
36C2×#41×D47C2211yescharacteristic
37C2×#41×D47C2212yescomplemented
38C2×#41×D47C2211yescharacteristic, complemented
39C22×D4×D47—22no—
40C22×D4×D47—21no—
41C22×D4×D47C2212yescomplemented
42C22×D4×D47C2211yescharacteristic, complemented
43#15689927—28no—
44#15689924—28no—
45C2×#13094052C2211yescharacteristic, complemented
46C2×#13094051C2212yescomplemented
47C2×#13094050C2211yescharacteristic, complemented
48C2×#13094050C2211yescharacteristic, complemented
49C2×#13094048C2212yescomplemented
50C2×#13094048C2212yescomplemented
51C2×#13094048C2212yescomplemented
52C2×#13094046C2211yescharacteristic, complemented
53C2×#13094045C2212yescomplemented
54C2×#13094044C2211yescharacteristic, complemented
55C2×#13094043C2212yescomplemented
56C22×#10625334C2211yescharacteristic, complemented
57C2×D8×D47C2212yescomplemented
58C2×D8×D47C2212yescomplemented
59C2×#13094032C2211yescharacteristic, complemented
60C2×#13094030C2211yescharacteristic, complemented
61#15689793—21no—
62#15689781—21no—
63#15689766—21no—
64#15689760—22no—
65#15689758—21no—
66#15689755—22no—
67#15689702C2212yescomplemented
68#15689701C2211yescharacteristic, complemented
69#15689689C2212yescomplemented
70#15689635C2211yescharacteristic, complemented
71#15689633C2212yescomplemented
72C2×#13093995C2211yescharacteristic, complemented
73#121×D47C2212yescomplemented
74#15689603C2211yescharacteristic, complemented
75#15689288C2211yescharacteristic, complemented
76#15689287C2212yescomplemented
77#15689286C2211yescharacteristic, complemented
78#15689285C2212yescomplemented
79#15689280C2211yescharacteristic, complemented
80#15689276C2212yescomplemented
81#15689275C2212yescomplemented
82#15689275C2211yescharacteristic, complemented
83#15689275C2212yescomplemented
84#15689274C2212yescomplemented
85#15689271C2211yescharacteristic, complemented
86#15689270C2212yescomplemented
87#15689269C2211yescharacteristic, complemented
88#15689268C2212yescomplemented
89#15689267C2212yescomplemented
90#15689266C2212yescomplemented
91#15689266C2212yescomplemented
92#15689265C2212yescomplemented
93#15689263C2211yescharacteristic, complemented
94#15689260C2212yescomplemented
95#15689259C2212yescomplemented
96#15689258C2211yescharacteristic, complemented
97#15689258C2212yescomplemented
98#15689258C2212yescomplemented
99#15689257C2212yescomplemented
100#15689256C2212yescomplemented
101#15689256C2212yescomplemented
102#15689255C2212yescomplemented
103#15689255C2212yescomplemented
104#15689255C2212yescomplemented
105#15689255C2212yescomplemented
106#15689255C2212yescomplemented
107#15689127C2211yescharacteristic, complemented
108#15689126C2212yescomplemented
109#15689126C2212yescomplemented
110#15689125C2211yescharacteristic, complemented
111#15689124C2211yescharacteristic, complemented
112#15689123C2212yescomplemented
113#15689121C2212yescomplemented
114#15689118C2212yescomplemented
115#15689117C2211yescharacteristic, complemented
116#15689116C2212yescomplemented
117C2×#13093946C2211yescharacteristic, complemented
118C2×#13093945C2211yescharacteristic, complemented
119#102×D47C2212yescomplemented
120#102×D47C2212yescomplemented
121#15689090C2211yescharacteristic, complemented
122#15689088C2212yescomplemented
123#15689088C2212yescomplemented
124#15689086C2211yescharacteristic, complemented
125#15689085C2212yescomplemented
126C2×(C2×D47)⋊C8C2211yescharacteristic, complemented
127C22⋊C8×D47C2212yescomplemented
128C2×H(5,𝔽2)×C47C2211yescharacteristic, complemented
129C2×AGL(1,ℤ/8)×C47C2211yescharacteristic, complemented
130C22×D8×C47C2211yescharacteristic, complemented
131C47×#535C2211yescharacteristic, complemented
132C47×#449C2212yescomplemented
133C47×#449C2212yescomplemented
134C47×#447C2212yescomplemented
135C47×#447C2212yescomplemented
136C47×#418C2211yescharacteristic, complemented
137C47×#416C2211yescharacteristic, complemented
138C47×#408C2211yescharacteristic, complemented
139C24×D47—22no—
140C24×D47—21no—
141#13094070—216no—
142#13094070—28no—
143#13094070—28no—
144#13094070—24no—
145#13094070—24no—
146#13094070—24no—
147#13094070D418yescomplemented
148#13094069—232no—
149#13094069—216no—
150#13094069—28no—
151#13094069—28no—
152#13094069—24no—
153#13094069—24no—
154#13094069—24no—
155#13094069D418yescomplemented
156C2×#10625354—21no—
157C2×#10625354D411yescharacteristic
158C2×#10625354C2311yescharacteristic
159C2×#10625354C2312yes—
160C2×#10625350—22no—
161C2×#10625350—21no—
162C2×#10625350—21no—
163C2×#10625350—22no—
164C2×#10625350C2312yes—
165C2×#10625350C2311yescharacteristic
166C2×#10625350C2312yes—
167C2×#10625350C2311yescharacteristic
168C2×#10625350C2311yescharacteristic, complemented
169C2×#10625352—21no—
170C2×#10625352—22no—
171C2×#10625352—21no—
172C2×#10625352—22no—
173C2×#10625352—21no—
174C2×#10625352D412yes—
175C2×#10625352D411yescharacteristic
176C2×#10625352C2311yescharacteristic
177C2×#10625352C2312yes—
178C2×#10625352C2312yescomplemented
179#41×D47—216no—
180#41×D47—24no—
181#41×D47—28no—
182#41×D47—28no—
183#41×D47—24no—
184#41×D47—24no—
185#41×D47—24no—
186C2×Q8×D47D411yescharacteristic
187C2×Q8×D47C2311yescharacteristic
188C22×D188—21no—
189C22×D188—22no—
190C22×D188C2312yes—
191C22×D188C2311yescharacteristic
192C22×C22⋊D47—22no—
193C22×C22⋊D47—22no—
194C22×C22⋊D47—22no—
195C22×C22⋊D47—21no—
196C22×C22⋊D47—22no—
197C22×C22⋊D47—21no—
198C22×C22⋊D47—22no—
199C2×D4×D47—232no—
200C2×D4×D47—216no—
201C2×D4×D47—22no—
202C2×D4×D47—21no—
203C2×D4×D47—22no—
204C2×D4×D47—21no—
205C2×D4×D47—24no—
206C2×D4×D47—22no—
207C2×D4×D47—22no—
208C2×D4×D47—22no—
209C2×D4×D47—28no—
210C2×D4×D47—28no—
211C2×D4×D47—22no—
212C2×D4×D47—21no—
213C2×D4×D47—22no—
214C2×D4×D47—21no—
215C2×D4×D47—24no—
216C2×D4×D47—22no—
217C2×D4×D47—21no—
218C2×D4×D47—22no—
219C2×D4×D47—21no—
220C2×D4×D47D412yes—
221C2×D4×D47D411yescharacteristic
222C2×D4×D47C2312yes—
223C2×D4×D47C2311yescharacteristic
224C2×D4×D47C2312yes—
225C2×D4×D47C2312yes—
226C2×D4×D47C2312yes—
227C2×D4×D47C2312yescomplemented
228C22×C4×D47—22no—
229C22×C4×D47—21no—
230C22×C4×D47C2312yes—
231C22×C4×D47C2311yescharacteristic
232#13094052—24no—
233#13094051—28no—
234#13094050—24no—
235#13094050—24no—
236#13094048—28no—
237#13094048—28no—
238#13094048—28no—
239#13094046—24no—
240#13094045—28no—
241#13094044—24no—
242#13094043—28no—
243C2×Dic188C2311yescharacteristic, complemented
244C2×#10625337C2311yescharacteristic, complemented
245C2×#10625325C2311yescharacteristic, complemented
246C2×#10625325C2312yescomplemented
247C2×#10625325C2311yescharacteristic, complemented
248C2×#10625335C2312yescomplemented
249C2×#10625335C2311yescharacteristic, complemented
250C2×#10625335C2312yescomplemented
251C2×#10625336C2311yescharacteristic, complemented
252C2×D376C2312yescomplemented
253C2×D376C2311yescharacteristic, complemented
254C2×#10625334—24no—
255C2×#10625334C2312yescomplemented
256C2×#10625334C2312yescomplemented
257C2×#10625334C2312yescomplemented
258C2×#10625334C2311yescharacteristic, complemented
259C2×#10625334C2312yescomplemented
260D8×D47—28no—
261D8×D47—28no—
262#13094032—24no—
263#13094030—24no—
264C2×#10625329C2311yescharacteristic, complemented
265C2×#10625324C2312yescomplemented
266C2×#10625324C2312yescomplemented
267C22×C47⋊C8C2311yescharacteristic, complemented
268C2×C8×D47C2312yescomplemented
269C2×C8×D47C2312yescomplemented
270#13094020—22no—
271#13094010—22no—
272#13094008—21no—
273#13094006—22no—
274#13094004C2311yescharacteristic
275#13094004C2311yescharacteristic, complemented
276#13094003C2312yescomplemented
277#13094001—22no—
278#13094000—21no—
279#13093999C2311yescharacteristic
280#13093999C2311yescharacteristic, complemented
281#13093998C2312yescomplemented
282#13093997—22no—
283#13093997—22no—
284#13093996—22no—
285#13093996—22no—
286#13093996—22no—
287#13093995—21no—
288#13093995—22no—
289#13093995—21no—
290#13093995—21no—
291#13093995C2312yes—
292#13093995C2312yescomplemented
293#13093994—21no—
294#13093994—22no—
295#13093992—22no—
296#13093992—22no—
297C4×Dic94—21no—
298C4×D188—21no—
299C4×D188—21no—
300C4×D188—21no—
301D4×Dic47—22no—
302(C22⋊D47)⋊C4—22no—
303(C22⋊D47)⋊C4—22no—
304#13093982C2312yescomplemented
305C2×C4⋊Dic47C2311yescharacteristic, complemented
306C4⋊C4×D47C2312yescomplemented
307C2×C22⋊Dic47—21no—
308C22⋊C4×D47—22no—
309#13093949C2312yescomplemented
310#13093948C2312yescomplemented
311#13093947C2311yescharacteristic, complemented
312#13093947C2311yescharacteristic, complemented
313#13093946C2312yescomplemented
314#13093946C2312yescomplemented
315#13093946C2312yescomplemented
316#13093945C2312yescomplemented
317#13093945C2312yescomplemented
318#13093945C2312yescomplemented
319#13093944C2311yescharacteristic, complemented
320#13093944C2311yescharacteristic, complemented
321#13093944C2312yescomplemented
322#13093944C2312yescomplemented
323C22⋊(C47⋊C8)C2312yescomplemented
324C22⋊(C47⋊C8)C2312yescomplemented
325(C2×D47)⋊C8C2311yescharacteristic
326(C2×D47)⋊C8C2311yescharacteristic
327(C2×D47)⋊C8C2312yes—
328(C2×D47)⋊C8C2311yescharacteristic, complemented
329(C2×D47)⋊C8C2311yescharacteristic, complemented
330(C2×D47)⋊C8C2312yescomplemented
331H(5,𝔽2)×C47—24no—
332H(5,𝔽2)×C47—24no—
333C2×#41×C47—21no—
334C2×#41×C47C2312yes—
335C2×#41×C47C2311yescharacteristic
336C2×#41×C47C2311yescharacteristic
337C22×D4×C47—22no—
338C22×D4×C47—21no—
339C22×D4×C47C2312yes—
340C22×D4×C47C2311yescharacteristic
341C22×D4×C47C2311yescharacteristic, complemented
342AGL(1,ℤ/8)×C47—24no—
343C2×SD16×C47C2312yescomplemented
344C2×D8×C47—24no—
345C2×D8×C47C2312yescomplemented
346C2×D8×C47C2312yescomplemented
347C2×D8×C47C2312yescomplemented
348C2×M16×C47C2311yescharacteristic, complemented
349C22×C8×C47C2311yescharacteristic, complemented
350#127×C47—21no—
351#124×C47—21no—
352#121×C47C2312yescomplemented
353#121×C47C2312yescomplemented
354#120×C47—22no—
355#117×C47C2311yescharacteristic, complemented
356#103×C47C2311yescharacteristic, complemented
357#103×C47C2311yescharacteristic, complemented
358#102×C47C2312yescomplemented
359#102×C47C2312yescomplemented
360#102×C47C2311yescharacteristic, complemented
361#102×C47C2311yescharacteristic, complemented
362C22⋊C8×C47C2312yescomplemented
363C22⋊C8×C47C2312yescomplemented
364C24×C47—22no—
365C24×C47—21no—
366C24×C47—21no—
367C23×D47—28no—
368C23×D47—216no—
369C23×D47—22no—
370C23×D47—21no—
371C23×D47—22no—
372C23×D47—21no—
373C23×D47—22no—
374C23×D47—22no—
375C23×D47—22no—
376C23×D47—22no—
377C23×D47—84no—
378C23×D47—82no—
379C23×D47—84no—
380C23×D47—82no—
381C23×D47C2×D412yes—
382C23×D47C2×D411yescharacteristic
383#41×C47—28no—
384#41×C47—24no—
385#41×C47—24no—
386#41×C47—22no—
387#41×C47—22no—
388#41×C47—22no—
389#41×C47C2×D414yescomplemented
390C2×Q8×C47C2×D411yescharacteristic
391C2×Q8×C47C2411yescharacteristic
392C2×D4×C47—216no—
393C2×D4×C47—28no—
394C2×D4×C47—22no—
395C2×D4×C47—21no—
396C2×D4×C47—24no—
397C2×D4×C47—24no—
398C2×D4×C47—22no—
399C2×D4×C47—22no—
400C2×D4×C47—22no—
401C2×D4×C47—21no—
402C2×D4×C47—22no—
403C2×D4×C47—22no—
404C2×D4×C47—22no—
405C2×D4×C47—21no—
406C2×D4×C47C2×D412yes—
407C2×D4×C47C2×D411yescharacteristic
408C2×D4×C47C2×D414yescomplemented
409C2×D4×C47C2412yes—
410C2×D4×C47C2412yes—
411C2×D4×C47C2411yescharacteristic
412C22×C4×C47—22no—
413C22×C4×C47—21no—
414C22×C4×C47C2412yes—
415C22×C4×C47C2411yescharacteristic
416C2×C22⋊D47—216no—
417C2×C22⋊D47—28no—
418C2×C22⋊D47—216no—
419C2×C22⋊D47—216no—
420C2×C22⋊D47—22no—
421C2×C22⋊D47—21no—
422C2×C22⋊D47—21no—
423C2×C22⋊D47—22no—
424C2×C22⋊D47—216no—
425C2×C22⋊D47—21no—
426C2×C22⋊D47—22no—
427C2×C22⋊D47—22no—
428C2×C22⋊D47—22no—
429C2×C22⋊D47—22no—
430C2×C22⋊D47—21no—
431C2×C22⋊D47—22no—
432C2×C22⋊D47—22no—
433C2×C22⋊D47—22no—
434C2×C22⋊D47—22no—
435C2×C22⋊D47—22no—
436C2×C22⋊D47—48no—
437C2×C22⋊D47—82no—
438C2×C22⋊D47C2×D412yes—
439C2×C22⋊D47C2×D412yes—
440C2×C22⋊D47C2×D412yes—
441C22×Dic47—21no—
442C22×Dic47—22no—
443C22×Dic47—21no—
444C22×Dic47—22no—
445C22×Dic47C2×D411yescharacteristic
446C22×Dic47C2×D412yes—
447#10625354—28no—
448#10625354—22no—
449#10625354—24no—
450#10625354—22no—
451#10625354—24no—
452#10625354C2×D418yescomplemented
453Q8×D47—22no—
454Q8×D47—24no—
455Q8×D47—22no—
456#10625352—28no—
457#10625352—216no—
458#10625352—216no—
459#10625352—22no—
460#10625352—28no—
461#10625352—24no—
462#10625352—24no—
463#10625352—24no—
464#10625352—28no—
465#10625352—24no—
466#10625352—22no—
467#10625352—44no—
468#10625352C2×D418yescomplemented
469D4×D47—28no—
470D4×D47—216no—
471D4×D47—28no—
472D4×D47—216no—
473D4×D47—216no—
474D4×D47—216no—
475D4×D47—216no—
476D4×D47—216no—
477D4×D47—28no—
478D4×D47—28no—
479D4×D47—216no—
480D4×D47—24no—
481D4×D47—22no—
482D4×D47—24no—
483D4×D47—28no—
484D4×D47—216no—
485D4×D47—24no—
486D4×D47—28no—
487D4×D47—22no—
488D4×D47—24no—
489D4×D47—24no—
490D4×D47—24no—
491D4×D47—24no—
492D4×D47—24no—
493D4×D47—24no—
494D4×D47—44no—
495D4×D47—84no—
496D4×D47C2×D418yescomplemented
497D4×D47C2×D418yescomplemented
498#10625350—216no—
499#10625350—28no—
500#10625350—216no—
501#10625350—22no—
502#10625350—24no—
503#10625350—24no—
504#10625350—24no—
505#10625350—22no—
506#10625350—22no—
507#10625350—28no—
508#10625350—24no—
509#10625350C2×D414yes—
510#10625350C2×D414yes—
511#10625350C2×D414yescomplemented
512C2×D188—216no—
513C2×D188—21no—
514C2×D188—22no—
515C2×D188—22no—
516C2×D188—21no—
517C2×D188—22no—
518C2×D188—28no—
519C2×D188—24no—
520C2×D188—24no—
521C2×D188—21no—
522C2×D188—21no—
523C2×D188C2×D412yes—
524C2×D188C2×D411yescharacteristic
525C2×D188C2×D414yescomplemented
526C2×D188C2411yescharacteristic
527C2×D188C2411yescharacteristic
528C2×D188C2412yes—
529C2×C4×D47—28no—
530C2×C4×D47—216no—
531C2×C4×D47—21no—
532C2×C4×D47—22no—
533C2×C4×D47—21no—
534C2×C4×D47—22no—
535C2×C4×D47—22no—
536C2×C4×D47—21no—
537C2×C4×D47—22no—
538C2×C4×D47—24no—
539C2×C4×D47—24no—
540C2×C4×D47—21no—
541C2×C4×D47—22no—
542C2×C4×D47C2×D412yes—
543C2×C4×D47C2×D412yes—
544C2×C4×D47C2×D411yescharacteristic
545C2×C4×D47C2×D411yescharacteristic
546C2×C4×D47C2411yescharacteristic
547C2×C4×D47C2411yescharacteristic
548C2×C4×D47C2412yes—
549C2×Dic94—21no—
550C2×Dic94C2×D412yes—
551C2×Dic94C2×D411yescharacteristic
552C2×Dic94C2411yescharacteristic
553C2×Dic94C2411yescharacteristic
554SD16×C47—24no—
555D8×C47—24no—
556D8×C47—24no—
557D8×C47—24no—
558M16×C47—22no—
559C2×C8×C47—22no—
560C2×C8×C47C2411yescharacteristic
561C2×C8×C47C2411yescharacteristic
562C2×C8×C47C2412yes—
563C4⋊C4×C47C2411yescharacteristic
564C4⋊C4×C47C2411yescharacteristic
565C22⋊C4×C47—21no—
566C22⋊C4×C47—22no—
567C22⋊C4×C47—22no—
568C42×C47—21no—
569C22⋊Dic47—22no—
570C22⋊Dic47—22no—
571C22⋊Dic47—22no—
572#10625337—22no—
573#10625336—22no—
574#10625335—24no—
575#10625335—22no—
576#10625335—24no—
577#10625334—22no—
578#10625334—24no—
579#10625334—24no—
580#10625334—24no—
581#10625334—24no—
582(C2×D47)⋊C4—22no—
583(C2×D47)⋊C4—21no—
584(C2×D47)⋊C4—21no—
585(C2×D47)⋊C4—22no—
586(C2×D47)⋊C4—21no—
587(C2×D47)⋊C4—21no—
588C4⋊Dic47—21no—
589C4⋊Dic47—21no—
590C4⋊Dic47—21no—
591C4⋊Dic47C2412yes—
592Dic47⋊C4—22no—
593Dic47⋊C4—22no—
594C4×Dic47—22no—
595#10625329—22no—
596C2×C47⋊C8—22no—
597C2×C47⋊C8C2412yes—
598C2×C47⋊C8C2411yescharacteristic
599C2×C47⋊C8C2411yescharacteristic
600Dic188—22no—
601D376—22no—
602D376—24no—
603#10625325—24no—
604#10625325—22no—
605#10625325—22no—
606#10625324—24no—
607#10625324—24no—
608C8×D47—24no—
609C8×D47—24no—
610C23×C47—28no—
611C23×C47—21no—
612C23×C47—22no—
613C23×C47—24no—
614C23×C47—22no—
615C23×C47—42no—
616C23×C47—81no—
617C23×C47—81no—
618C23×C47—82no—
619C23×C47—82no—
620C23×C47—81no—
621C23×C47—81no—
622C23×C47C22×D412yes—
623C23×C47C22×D411yescharacteristic
624C22×D47—24no—
625C22×D47—28no—
626C22×D47—22no—
627C22×D47—21no—
628C22×D47—22no—
629C22×D47—28no—
630C22×D47—28no—
631C22×D47—24no—
632C22×D47—24no—
633C22×D47—24no—
634C22×D47—22no—
635C22×D47—28no—
636C22×D47—28no—
637C22×D47—21no—
638C22×D47—42no—
639C22×D47—41no—
640C22×D47—42no—
641C22×D47—44no—
642C22×D47—42no—
643C22×D47—44no—
644C22×D47—44no—
645C22×D47—82no—
646C22×D47—82no—
647C22×D47—82no—
648C22×D47—82no—
649C22×D47—82no—
650C22×D47—82no—
651C22×D47—82no—
652C22×D47—82no—
653C22×D47—832no—
654C22×D47—816no—
655C22×D47—81no—
656C22×D47—82no—
657C22×D47—81no—
658C22×D47—82no—
659C22×D47C22×D411yescharacteristic
660C22×D47C22×D412yes—
661C22×D47C22×D411yescharacteristic
662Q8×C47—22no—
663Q8×C47—21no—
664Q8×C47C22×D412yes—
665D4×C47—28no—
666D4×C47—28no—
667D4×C47—24no—
668D4×C47—24no—
669D4×C47—22no—
670D4×C47—24no—
671D4×C47—22no—
672D4×C47—21no—
673D4×C47—22no—
674D4×C47—22no—
675D4×C47—42no—
676D4×C47—82no—
677D4×C47—82no—
678D4×C47C22×D414yes—
679D4×C47C22×D412yes—
680C2×C4×C47—28no—
681C2×C4×C47—21no—
682C2×C4×C47—24no—
683C2×C4×C47—22no—
684C2×C4×C47—22no—
685C2×C4×C47—21no—
686C2×C4×C47—21no—
687C2×C4×C47C22×D412yes—
688C2×C4×C47C22×D411yescharacteristic
689C2×C4×C47C22×D412yes—
690C2×C4×C47C22×D412yes—
691C2×C4×C47C2511yescharacteristic
692C22⋊D47—28no—
693C22⋊D47—24no—
694C22⋊D47—28no—
695C22⋊D47—24no—
696C22⋊D47—28no—
697C22⋊D47—24no—
698C22⋊D47—24no—
699C22⋊D47—28no—
700C22⋊D47—24no—
701C22⋊D47—28no—
702C22⋊D47—28no—
703C22⋊D47—42no—
704C22⋊D47—44no—
705C22⋊D47—44no—
706C22⋊D47—44no—
707C22⋊D47—82no—
708C22⋊D47—82no—
709C22⋊D47#12018yes—
710C2×Dic47—24no—
711C2×Dic47—22no—
712C2×Dic47—21no—
713C2×Dic47—24no—
714C2×Dic47—28no—
715C2×Dic47—22no—
716C2×Dic47—21no—
717C2×Dic47—44no—
718C2×Dic47—81no—
719C2×Dic47C22×D411yescharacteristic
720C2×Dic47C22×D411yescharacteristic
721C2×Dic47C22×D412yes—
722D188—24no—
723D188—28no—
724D188—28no—
725D188—24no—
726D188—24no—
727D188—21no—
728D188—22no—
729D188—21no—
730D188—21no—
731D188—42no—
732D188—81no—
733D188#12014yes—
734D188C22×D412yes—
735D188C22×D414yes—
736C4×D47—24no—
737C4×D47—24no—
738C4×D47—28no—
739C4×D47—24no—
740C4×D47—22no—
741C4×D47—24no—
742C4×D47—22no—
743C4×D47—21no—
744C4×D47—21no—
745C4×D47—21no—
746C4×D47—21no—
747C4×D47—24no—
748C4×D47—28no—
749C4×D47—42no—
750C4×D47—82no—
751C4×D47C22×D414yes—
752C4×D47C22×D414yes—
753Dic94—24no—
754Dic94—21no—
755Dic94—24no—
756Dic94—21no—
757Dic94—21no—
758Dic94#12014yes—
759Dic94C22×D412yes—
760C8×C47—21no—
761C8×C47—22no—
762C8×C47—21no—
763C47⋊C8—21no—
764C47⋊C8—22no—
765C47⋊C8—21no—
766#60372—471nomaximal, Sylow
767C22×C47—21no—
768C22×C47—21no—
769C22×C47—22no—
770C22×C47—22no—
771C22×C47—22no—
772C22×C47—24no—
773C22×C47—22no—
774C22×C47—41no—
775C22×C47—42no—
776C22×C47—41no—
777C22×C47—42no—
778C22×C47—42no—
779C22×C47—42no—
780C22×C47—42no—
781C22×C47—84no—
782C22×C47—88no—
783C22×C47—162no—
784C22×C47C2×#12012yes—
785C22×C47C23×D411yescharacteristic
786C2×D47—21no—
787C2×D47—22no—
788C2×D47—21no—
789C2×D47—22no—
790C2×D47—21no—
791C2×D47—21no—
792C2×D47—22no—
793C2×D47—24no—
794C2×D47—21no—
795C2×D47—48no—
796C2×D47—44no—
797C2×D47—48no—
798C2×D47—416no—
799C2×D47—41no—
800C2×D47—42no—
801C2×D47—41no—
802C2×D47—42no—
803C2×D47—41no—
804C2×D47—41no—
805C2×D47—41no—
806C2×D47—88no—
807C2×D47—88no—
808C2×D47—84no—
809C2×D47—88no—
810C2×D47—88no—
811C2×D47—164no—
812C2×D47C2×#12014yes—
813C2×D47#57612yescomplemented
814C4×C47—22no—
815C4×C47—22no—
816C4×C47—41no—
817C4×C47—41no—
818C4×C47C2×#12012yes—
819C4×C47C23×D411yescharacteristic
820C4×C47C23×D411yescharacteristic
821Dic47—21no—
822Dic47—21no—
823Dic47—22no—
824Dic47—41no—
825Dic47—42no—
826Dic47C2×#12014yes—
827C22×H(5,𝔽2)—471no—
828C2×#576—471no—
829C2×#576—471no—
830#3488—471no—
831#3012—472no—
832#3012—472no—
833#3012—471no—
834#3012—471no—
835#3008—472no—
836#3008—472no—
837#3008—471no—
838#3008D4711yescharacteristic, complemented
839#3006—472no—
840#3006—471no—
841#3003—472no—
842#3003—471no—
843#3002—472no—
844#3002—471no—
845C2×#447—472no—
846C2×#447—471no—
847#2897—471no—
848#2897—471no—
849#2880—471no—
850C2×C47—22no—
851C2×C47—42no—
852C2×C47—42no—
853C2×C47—44no—
854C2×C47—82no—
855C2×C47C22×#12011yescharacteristic
856C2×C47C2×#57611yescharacteristic
857C2×C47#358511yescharacteristic
858D47—22no—
859D47—24no—
860D47—41no—
861D47—42no—
862D47—44no—
863D47—81no—
864C2×H(5,𝔽2)—471no—
865C2×H(5,𝔽2)—472no—
866C2×H(5,𝔽2)—471no—
867C2×H(5,𝔽2)—471no—
868C2×H(5,𝔽2)—472no—
869C2×H(5,𝔽2)—471no—
870C2×H(5,𝔽2)—942no—
871C2×H(5,𝔽2)—941no—
872C2×H(5,𝔽2)—941no—
873C2×H(5,𝔽2)—948no—
874C2×H(5,𝔽2)—948no—
875C2×H(5,𝔽2)C2×D4711yescharacteristic, complemented
876C22×#41—471no—
877C22×#41—472no—
878C22×#41—471no—
879C22×#41—941no—
880C23×D4—472no—
881C23×D4—471no—
882C23×D4—942no—
883C23×D4—941no—
884#576—948no—
885#576—948no—
886C2×AGL(1,ℤ/8)—471no—
887C2×AGL(1,ℤ/8)—471no—
888C2×AGL(1,ℤ/8)—472no—
889C2×AGL(1,ℤ/8)—472no—
890C2×AGL(1,ℤ/8)—472no—
891C2×AGL(1,ℤ/8)—472no—
892C2×AGL(1,ℤ/8)—471no—
893C2×AGL(1,ℤ/8)C2×D4711yescharacteristic, complemented
894C2×#135—471no—
895C2×#135—472no—
896C2×#135—472no—
897C2×#135—471no—
898C22×D8—471no—
899C22×D8—472no—
900C22×D8—472no—
901C22×D8C2×D4711yescharacteristic, complemented
902C2×#131—471no—
903C2×#131—471no—
904#550—941no—
905#548—941no—
906#546—942no—
907#546—941no—
908D42—942no—
909D42—941no—
910#537—471no—
911#537—472no—
912#535—472no—
913#535C2×D4711yescharacteristic, complemented
914#525—472no—
915#525—471no—
916C2×#121—471no—
917C2×#121—472no—
918#520—471no—
919#452—472no—
920#452—471no—
921#452—471no—
922#452—472no—
923#451—471no—
924#450—472no—
925#450—472no—
926#450—471no—
927#450—472no—
928#450—472no—
929#449—472no—
930#449—472no—
931#449—472no—
932#449—472no—
933#449—472no—
934#449—471no—
935#449—471no—
936#449—472no—
937#449C2×D4712yescomplemented
938#449C2×D4712yescomplemented
939#448—472no—
940#448—471no—
941#447—472no—
942#447—472no—
943#447—472no—
944#447—472no—
945#447—472no—
946#447—472no—
947#447—472no—
948#447—472no—
949#447—471no—
950#447—472no—
951#447—472no—
952#447—472no—
953#447C2×D4712yescomplemented
954#447C2×D4712yescomplemented
955#418—471no—
956#418—472no—
957#418—472no—
958#418C2×D4711yescharacteristic, complemented
959#417—471no—
960#417—471no—
961#417—472no—
962#417—472no—
963#416—471no—
964#416—472no—
965#416—472no—
966#416C2×D4711yescharacteristic, complemented
967C2×#102—471no—
968C2×#102—471no—
969C2×#102—472no—
970C2×#102—472no—
971#408—471no—
972#408—472no—
973#408—472no—
974#408C2×D4711yescharacteristic, complemented
975#407—471no—
976#407—472no—
977C2×C22⋊C8—471no—
978C2×C22⋊C8—472no—
979C47#6037211yescharacteristic, complemented, Sylow
980C25—942no—
981C25—941no—
982H(5,𝔽2)—24no—
983H(5,𝔽2)—24no—
984H(5,𝔽2)—478no—
985H(5,𝔽2)—478no—
986H(5,𝔽2)—948no—
987H(5,𝔽2)—948no—
988H(5,𝔽2)—944no—
989H(5,𝔽2)—9432no—
990H(5,𝔽2)—9416no—
991H(5,𝔽2)—944no—
992H(5,𝔽2)—944no—
993H(5,𝔽2)—948no—
994H(5,𝔽2)—944no—
995H(5,𝔽2)—944no—
996H(5,𝔽2)—948no—
997H(5,𝔽2)—944no—
998H(5,𝔽2)—9416no—
999C2×#41—21no—
1000C2×#41—471no—
1001C2×#41—472no—
1002C2×#41—471no—
1003C2×#41—471no—
1004C2×#41—472no—
1005C2×#41—472no—
1006C2×#41—471no—
1007C2×#41—472no—
1008C2×#41—472no—
1009C2×#41—471no—
1010C2×#41—471no—
1011C2×#41—471no—
1012C2×#41—472no—
1013C2×#41—942no—
1014C2×#41—941no—
1015C2×#41—941no—
1016C2×#41—942no—
1017C2×#41—941no—
1018C2×#41—942no—
1019C2×#41—941no—
1020C2×#41—942no—
1021C2×#41—941no—
1022C2×#41—944no—
1023C2×#41—944no—
1024C2×#41—948no—
1025C2×#41—948no—
1026C2×#41—944no—
1027C2×#41—9416no—
1028C2×#41—944no—
1029C2×#41—941no—
1030C2×#41C22×D4712yes—
1031C2×#41C22×D4711yescharacteristic
1032C2×#41C22×D4711yescharacteristic
1033C22×Q8—471no—
1034C22×Q8—471no—
1035C22×D4—22no—
1036C22×D4—21no—
1037C22×D4—472no—
1038C22×D4—472no—
1039C22×D4—472no—
1040C22×D4—471no—
1041C22×D4—472no—
1042C22×D4—472no—
1043C22×D4—471no—
1044C22×D4—472no—
1045C22×D4—471no—
1046C22×D4—472no—
1047C22×D4—941no—
1048C22×D4—942no—
1049C22×D4—942no—
1050C22×D4—941no—
1051C22×D4—942no—
1052C22×D4—941no—
1053C22×D4—941no—
1054C22×D4—942no—
1055C22×D4—948no—
1056C22×D4—948no—
1057C22×D4—944no—
1058C22×D4—942no—
1059C22×D4—942no—
1060C22×D4—942no—
1061C22×D4—941no—
1062C22×D4—942no—
1063C22×D4—941no—
1064C22×D4—942no—
1065C22×D4—941no—
1066C22×D4—9416no—
1067C22×D4—9432no—
1068C22×D4—942no—
1069C22×D4—942no—
1070C22×D4—942no—
1071C22×D4—942no—
1072C22×D4—942no—
1073C22×D4—942no—
1074C22×D4—941no—
1075C22×D4—944no—
1076C22×D4—941no—
1077C22×D4C22×D4712yes—
1078C22×D4C22×D4711yescharacteristic
1079C22×D4C22×D4711yescharacteristic, complemented
1080C23×C4—472no—
1081C23×C4—471no—
1082C23×C4—942no—
1083C23×C4—941no—
1084AGL(1,ℤ/8)—24no—
1085AGL(1,ℤ/8)—944no—
1086AGL(1,ℤ/8)—948no—
1087AGL(1,ℤ/8)—948no—
1088AGL(1,ℤ/8)—948no—
1089AGL(1,ℤ/8)—948no—
1090AGL(1,ℤ/8)—944no—
1091AGL(1,ℤ/8)—944no—
1092#135—944no—
1093#135—948no—
1094#135—948no—
1095#135—944no—
1096C2×Q16—471no—
1097C2×Q16—471no—
1098C2×SD16—471no—
1099C2×SD16—472no—
1100C2×SD16—471no—
1101C2×SD16—472no—
1102C2×SD16—471no—
1103C2×SD16—471no—
1104C2×SD16—472no—
1105C2×SD16C22×D4712yescomplemented
1106C2×D8—24no—
1107C2×D8—472no—
1108C2×D8—471no—
1109C2×D8—472no—
1110C2×D8—472no—
1111C2×D8—472no—
1112C2×D8—471no—
1113C2×D8—472no—
1114C2×D8—948no—
1115C2×D8—948no—
1116C2×D8—944no—
1117C2×D8C22×D4712yescomplemented
1118C2×D8C22×D4712yescomplemented
1119C2×D8C22×D4712yescomplemented
1120#131—944no—
1121#131—944no—
1122C2×M16—471no—
1123C2×M16—472no—
1124C2×M16—472no—
1125C2×M16C22×D4711yescharacteristic, complemented
1126C22×C8—471no—
1127C22×C8—472no—
1128C22×C8—472no—
1129C22×C8C22×D4711yescharacteristic, complemented
1130#127—21no—
1131#127—942no—
1132#124—21no—
1133#124—942no—
1134#123—942no—
1135#123—941no—
1136C22⋊Q8—472no—
1137C22⋊Q8—471no—
1138C22⋊Q8—471no—
1139C22⋊Q8—942no—
1140C22⋊Q8—941no—
1141#121—472no—
1142#121—472no—
1143#121—472no—
1144#121—471no—
1145#121—471no—
1146#121—942no—
1147#121—942no—
1148#121—941no—
1149#121—941no—
1150#121—942no—
1151#121—942no—
1152#121—942no—
1153#121—942no—
1154#121—941no—
1155#121C22×D4712yescomplemented
1156#121C22×D4712yescomplemented
1157#120—22no—
1158#120—942no—
1159#120—941no—
1160#120—942no—
1161#120—942no—
1162C4×Q8—941no—
1163C4×D4—941no—
1164C4×D4—941no—
1165C4×D4—941no—
1166C4×D4—942no—
1167C4×D4—942no—
1168C4×D4—942no—
1169#117—472no—
1170#117C22×D4711yescharacteristic, complemented
1171C2×C4⋊C4—471no—
1172C2×C4⋊C4—472no—
1173C2×C22⋊C4—942no—
1174C2×C22⋊C4—941no—
1175#103—472no—
1176#103—472no—
1177#103—471no—
1178#103—471no—
1179#103C22×D4711yescharacteristic, complemented
1180#103C22×D4711yescharacteristic, complemented
1181#102—472no—
1182#102—472no—
1183#102—472no—
1184#102—472no—
1185#102—472no—
1186#102—472no—
1187#102—471no—
1188#102—472no—
1189#102—471no—
1190#102—472no—
1191#102C22×D4711yescharacteristic, complemented
1192#102C22×D4712yescomplemented
1193#102C22×D4712yescomplemented
1194#102C22×D4711yescharacteristic, complemented
1195C22⋊C8—472no—
1196C22⋊C8—472no—
1197C22⋊C8—471no—
1198C22⋊C8—471no—
1199C22⋊C8—472no—
1200C22⋊C8—471no—
1201C22⋊C8—471no—
1202C22⋊C8—472no—
1203C22⋊C8C22×D4712yescomplemented
1204C22⋊C8C22×D4712yescomplemented
1205C24—22no—
1206C24—21no—
1207C24—21no—
1208C24—472no—
1209C24—471no—
1210C24—942no—
1211C24—942no—
1212C24—942no—
1213C24—942no—
1214C24—941no—
1215C24—942no—
1216C24—9416no—
1217C24—948no—
1218C24—942no—
1219C24—941no—
1220C24—3762no—
1221C24—3764no—
1222C24—3762no—
1223C24—3764no—
1224#41—28no—
1225#41—24no—
1226#41—24no—
1227#41—22no—
1228#41—22no—
1229#41—22no—
1230#41—474no—
1231#41—474no—
1232#41—478no—
1233#41—478no—
1234#41—474no—
1235#41—944no—
1236#41—944no—
1237#41—944no—
1238#41—944no—
1239#41—948no—
1240#41—9416no—
1241#41—9416no—
1242#41—948no—
1243#41—944no—
1244#41—944no—
1245#41—944no—
1246#41—944no—
1247#41—948no—
1248#41—944no—
1249#41—942no—
1250#41—948no—
1251#41—9416no—
1252#41—9416no—
1253#41—948no—
1254#41—944no—
1255#41—942no—
1256#41—948no—
1257#41—942no—
1258#41—942no—
1259#41—942no—
1260#41—942no—
1261#41—942no—
1262#41—1884no—
1263#41D4×D4714yescomplemented
1264C2×Q8—471no—
1265C2×Q8—472no—
1266C2×Q8—471no—
1267C2×Q8—471no—
1268C2×Q8—941no—
1269C2×Q8—944no—
1270C2×Q8—942no—
1271C2×Q8—942no—
1272C2×Q8D4×D4711yescharacteristic
1273C2×Q8C23×D4711yescharacteristic
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—472no—
1289C2×D4—478no—
1290C2×D4—478no—
1291C2×D4—472no—
1292C2×D4—472no—
1293C2×D4—471no—
1294C2×D4—474no—
1295C2×D4—472no—
1296C2×D4—472no—
1297C2×D4—471no—
1298C2×D4—471no—
1299C2×D4—944no—
1300C2×D4—944no—
1301C2×D4—948no—
1302C2×D4—942no—
1303C2×D4—941no—
1304C2×D4—9416no—
1305C2×D4—941no—
1306C2×D4—941no—
1307C2×D4—944no—
1308C2×D4—944no—
1309C2×D4—944no—
1310C2×D4—944no—
1311C2×D4—942no—
1312C2×D4—942no—
1313C2×D4—942no—
1314C2×D4—941no—
1315C2×D4—942no—
1316C2×D4—942no—
1317C2×D4—948no—
1318C2×D4—944no—
1319C2×D4—944no—
1320C2×D4—942no—
1321C2×D4—944no—
1322C2×D4—9416no—
1323C2×D4—948no—
1324C2×D4—9416no—
1325C2×D4—9416no—
1326C2×D4—948no—
1327C2×D4—948no—
1328C2×D4—9416no—
1329C2×D4—9416no—
1330C2×D4—9416no—
1331C2×D4—9416no—
1332C2×D4—9416no—
1333C2×D4—948no—
1334C2×D4—948no—
1335C2×D4—9416no—
1336C2×D4—942no—
1337C2×D4—941no—
1338C2×D4—9416no—
1339C2×D4—9416no—
1340C2×D4—9416no—
1341C2×D4—948no—
1342C2×D4—942no—
1343C2×D4—941no—
1344C2×D4—942no—
1345C2×D4—944no—
1346C2×D4—944no—
1347C2×D4—942no—
1348C2×D4—942no—
1349C2×D4—942no—
1350C2×D4—942no—
1351C2×D4—941no—
1352C2×D4—942no—
1353C2×D4—941no—
1354C2×D4—942no—
1355C2×D4—3764no—
1356C2×D4—3762no—
1357C2×D4—1884no—
1358C2×D4—1888no—
1359C2×D4D4×D4712yes—
1360C2×D4D4×D4711yescharacteristic
1361C2×D4D4×D4714yescomplemented
1362C2×D4C23×D4712yes—
1363C2×D4C23×D4711yescharacteristic
1364C2×D4C23×D4712yes—
1365C22×C4—22no—
1366C22×C4—21no—
1367C22×C4—472no—
1368C22×C4—471no—
1369C22×C4—472no—
1370C22×C4—472no—
1371C22×C4—472no—
1372C22×C4—471no—
1373C22×C4—471no—
1374C22×C4—471no—
1375C22×C4—471no—
1376C22×C4—944no—
1377C22×C4—944no—
1378C22×C4—942no—
1379C22×C4—941no—
1380C22×C4—941no—
1381C22×C4—9416no—
1382C22×C4—948no—
1383C22×C4—942no—
1384C22×C4—942no—
1385C22×C4—941no—
1386C22×C4—942no—
1387C22×C4—942no—
1388C22×C4—942no—
1389C22×C4—942no—
1390C22×C4—941no—
1391C22×C4—941no—
1392C22×C4—941no—
1393C22×C4C23×D4712yes—
1394C22×C4C23×D4711yescharacteristic
1395Q16—942no—
1396Q16—942no—
1397SD16—24no—
1398SD16—942no—
1399SD16—944no—
1400SD16—942no—
1401SD16—944no—
1402SD16—942no—
1403SD16—942no—
1404SD16—944no—
1405D8—24no—
1406D8—24no—
1407D8—24no—
1408D8—942no—
1409D8—944no—
1410D8—944no—
1411D8—944no—
1412D8—944no—
1413D8—942no—
1414D8—944no—
1415M16—22no—
1416M16—944no—
1417M16—944no—
1418M16—942no—
1419C2×C8—22no—
1420C2×C8—471no—
1421C2×C8—472no—
1422C2×C8—471no—
1423C2×C8—944no—
1424C2×C8—944no—
1425C2×C8—942no—
1426C2×C8C23×D4711yescharacteristic
1427C2×C8C23×D4711yescharacteristic
1428C2×C8C23×D4712yes—
1429C4⋊C4—472no—
1430C4⋊C4—942no—
1431C4⋊C4—941no—
1432C4⋊C4—941no—
1433C4⋊C4—942no—
1434C4⋊C4—941no—
1435C4⋊C4C23×D4711yescharacteristic
1436C4⋊C4C23×D4711yescharacteristic
1437C22⋊C4—21no—
1438C22⋊C4—22no—
1439C22⋊C4—22no—
1440C22⋊C4—941no—
1441C22⋊C4—941no—
1442C22⋊C4—942no—
1443C22⋊C4—941no—
1444C22⋊C4—941no—
1445C22⋊C4—942no—
1446C22⋊C4—942no—
1447C22⋊C4—942no—
1448C22⋊C4—942no—
1449C42—21no—
1450C42—942no—
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—471no—
1464C23—472no—
1465C23—471no—
1466C23—948no—
1467C23—948no—
1468C23—944no—
1469C23—942no—
1470C23—944no—
1471C23—948no—
1472C23—948no—
1473C23—948no—
1474C23—944no—
1475C23—944no—
1476C23—942no—
1477C23—942no—
1478C23—941no—
1479C23—941no—
1480C23—3761no—
1481C23—3761no—
1482C23—3762no—
1483C23—3762no—
1484C23—3762no—
1485C23—3762no—
1486C23—3762no—
1487C23—3762no—
1488C23—3762no—
1489C23—3762no—
1490C23—3762no—
1491C23—3762no—
1492C23—37616no—
1493C23—37632no—
1494C23—1881no—
1495C23—1882no—
1496C23—1884no—
1497C23—1882no—
1498C23—1884no—
1499C23—1884no—
1500C23—1882no—
1501C23C2×D4×D4712yes—
1502C23C2×D4×D4711yescharacteristic
1503Q8—22no—
1504Q8—21no—
1505Q8—474no—
1506Q8—472no—
1507Q8—944no—
1508Q8—944no—
1509Q8—941no—
1510Q8—941no—
1511Q8—941no—
1512Q8C2×D4×D4712yes—
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—478no—
1527D4—474no—
1528D4—474no—
1529D4—472no—
1530D4—944no—
1531D4—948no—
1532D4—944no—
1533D4—948no—
1534D4—944no—
1535D4—948no—
1536D4—948no—
1537D4—944no—
1538D4—948no—
1539D4—948no—
1540D4—944no—
1541D4—948no—
1542D4—948no—
1543D4—944no—
1544D4—944no—
1545D4—944no—
1546D4—941no—
1547D4—942no—
1548D4—941no—
1549D4—941no—
1550D4—3761no—
1551D4—3762no—
1552D4—3762no—
1553D4—1882no—
1554D4—1884no—
1555D4—1884no—
1556D4—1884no—
1557D4—1882no—
1558D4C2×D4×D4712yes—
1559D4C2×D4×D4714yes—
1560C2×C4—28no—
1561C2×C4—21no—
1562C2×C4—24no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—472no—
1568C2×C4—474no—
1569C2×C4—474no—
1570C2×C4—471no—
1571C2×C4—471no—
1572C2×C4—944no—
1573C2×C4—948no—
1574C2×C4—944no—
1575C2×C4—944no—
1576C2×C4—944no—
1577C2×C4—948no—
1578C2×C4—944no—
1579C2×C4—948no—
1580C2×C4—944no—
1581C2×C4—942no—
1582C2×C4—941no—
1583C2×C4—942no—
1584C2×C4—942no—
1585C2×C4—944no—
1586C2×C4—941no—
1587C2×C4—941no—
1588C2×C4—941no—
1589C2×C4—941no—
1590C2×C4—942no—
1591C2×C4—941no—
1592C2×C4—3762no—
1593C2×C4—3761no—
1594C2×C4—1884no—
1595C2×C4—1882no—
1596C2×C4C2×D4×D4712yes—
1597C2×C4C2×D4×D4711yescharacteristic
1598C2×C4C2×D4×D4712yes—
1599C2×C4C2×D4×D4712yes—
1600C2×C4C24×D4711yescharacteristic
1601C8—21no—
1602C8—21no—
1603C8—22no—
1604C8—941no—
1605C8—941no—
1606C8—942no—
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—472no—
1625C22—474no—
1626C22—942no—
1627C22—941no—
1628C22—942no—
1629C22—941no—
1630C22—941no—
1631C22—944no—
1632C22—942no—
1633C22—941no—
1634C22—941no—
1635C22—3764no—
1636C22—3768no—
1637C22—3768no—
1638C22—3768no—
1639C22—3768no—
1640C22—1884no—
1641C22—1888no—
1642C22—18816no—
1643C22—1888no—
1644C22—1881no—
1645C22—1881no—
1646C22—1881no—
1647C22—1882no—
1648C22—1881no—
1649C22—1882no—
1650C22—1881no—
1651C22—7524no—
1652C22#120×D4712yes—
1653C22C22×D4×D4711yescharacteristic
1654C4—22no—
1655C4—22no—
1656C4—41no—
1657C4—41no—
1658C4—474no—
1659C4—941no—
1660C4—941no—
1661C4—942no—
1662C4—1882no—
1663C4—1881no—
1664C4#120×D4712yes—
1665C4C22×D4×D4711yescharacteristic
1666C4C22×D4×D4711yescharacteristic
1667C2—22no—
1668C2—42no—
1669C2—44no—
1670C2—42no—
1671C2—82no—
1672C2—944no—
1673C2—942no—
1674C2—3761no—
1675C2—1881no—
1676C2—1884no—
1677C2—1882no—
1678C2C2×#120×D4711yescharacteristic
1679C2#576×D4711yescharacteristic
1680C2#2025816311yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3008C2
socleC22×C47C23×D4
hypercenter#3008D47
hypocenterC47#60372
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C2×#41 ◁ #3008

Complements

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

NH ≅ G/Ntype
1. C2×H(5,𝔽2)×D47C2semidirect
2. C2×#15689927C2semidirect
3. C2×#15689924C2semidirect
4. #20257055C2semidirect
5. #20252695C2semidirect
6. #20252692C2semidirect
7. #20252690C2semidirect
8. #20252687C2semidirect
9. #20252654C2semidirect
10. #20252653C2semidirect
11. #20252651C2semidirect
12. #20252637C2semidirect
13. #20252636C2semidirect
14. #20252617C2semidirect
15. #20252612C2semidirect
16. #20252608C2semidirect
17. #20252603C2semidirect
18. C2×#15689255C2semidirect
19. #447×D47C2semidirect
20. #20251913C2semidirect
21. #20251910C2semidirect
22. #20251836C2semidirect
23. C47×#3008C2semidirect
26. C2×#13094070C22semidirect
27. C2×#13094070C22semidirect
31. C2×#13094069C22semidirect
32. C2×#13094069C22semidirect
37. C2×#41×D47C22semidirect
38. C2×#41×D47C22semidirect
41. C22×D4×D47C22semidirect
42. C22×D4×D47C22semidirect
45. C2×#13094052C22semidirect
46. C2×#13094051C22semidirect
47. C2×#13094050C22semidirect
48. C2×#13094050C22semidirect
49. C2×#13094048C22semidirect
50. C2×#13094048C22semidirect
51. C2×#13094048C22semidirect
52. C2×#13094046C22semidirect
53. C2×#13094045C22semidirect
54. C2×#13094044C22semidirect
55. C2×#13094043C22semidirect
56. C22×#10625334C22semidirect
57. C2×D8×D47C22semidirect
58. C2×D8×D47C22semidirect
59. C2×#13094032C22semidirect
60. C2×#13094030C22semidirect
67. #15689702C22semidirect
68. #15689701C22semidirect
69. #15689689C22semidirect
70. #15689635C22semidirect
71. #15689633C22semidirect
72. C2×#13093995C22semidirect
73. #121×D47C22semidirect
74. #15689603C22semidirect
75. #15689288C22semidirect
76. #15689287C22semidirect
77. #15689286C22semidirect
78. #15689285C22semidirect
79. #15689280C22semidirect
80. #15689276C22semidirect
81. #15689275C22semidirect
82. #15689275C22semidirect
83. #15689275C22semidirect
84. #15689274C22semidirect
85. #15689271C22semidirect
86. #15689270C22semidirect
87. #15689269C22semidirect
88. #15689268C22semidirect
89. #15689267C22semidirect
90. #15689266C22semidirect
91. #15689266C22semidirect
92. #15689265C22semidirect
93. #15689263C22semidirect
94. #15689260C22semidirect
95. #15689259C22semidirect
96. #15689258C22semidirect
97. #15689258C22semidirect
98. #15689258C22semidirect
99. #15689257C22semidirect
100. #15689256C22semidirect
101. #15689256C22semidirect
102. #15689255C22semidirect
103. #15689255C22semidirect
104. #15689255C22semidirect
105. #15689255C22semidirect
106. #15689255C22semidirect
107. #15689127C22semidirect
108. #15689126C22semidirect
109. #15689126C22semidirect
110. #15689125C22semidirect
111. #15689124C22semidirect
112. #15689123C22semidirect
113. #15689121C22semidirect
114. #15689118C22semidirect
115. #15689117C22semidirect
116. #15689116C22semidirect
117. C2×#13093946C22semidirect
118. C2×#13093945C22semidirect
119. #102×D47C22semidirect
120. #102×D47C22semidirect
121. #15689090C22semidirect
122. #15689088C22semidirect
123. #15689088C22semidirect
124. #15689086C22semidirect
125. #15689085C22semidirect
126. C2×(C2×D47)⋊C8C22semidirect
127. C22⋊C8×D47C22semidirect
128. C2×H(5,𝔽2)×C47C22semidirect
129. C2×AGL(1,ℤ/8)×C47C22semidirect
130. C22×D8×C47C22semidirect
131. C47×#535C22semidirect
132. C47×#449C22semidirect
133. C47×#449C22semidirect
134. C47×#447C22semidirect
135. C47×#447C22semidirect
136. C47×#418C22semidirect
137. C47×#416C22semidirect
138. C47×#408C22semidirect
147. #13094070D4semidirect
155. #13094069D4semidirect
168. C2×#10625350C23semidirect
178. C2×#10625352C23semidirect
227. C2×D4×D47C23semidirect
243. C2×Dic188C23semidirect
244. C2×#10625337C23semidirect
245. C2×#10625325C23semidirect
246. C2×#10625325C23semidirect
247. C2×#10625325C23semidirect
248. C2×#10625335C23semidirect
249. C2×#10625335C23semidirect
250. C2×#10625335C23semidirect
251. C2×#10625336C23semidirect
252. C2×D376C23semidirect
253. C2×D376C23semidirect
255. C2×#10625334C23semidirect
256. C2×#10625334C23semidirect
257. C2×#10625334C23semidirect
258. C2×#10625334C23semidirect
259. C2×#10625334C23semidirect
264. C2×#10625329C23semidirect
265. C2×#10625324C23semidirect
266. C2×#10625324C23semidirect
267. C22×C47⋊C8C23semidirect
268. C2×C8×D47C23semidirect
269. C2×C8×D47C23semidirect
275. #13094004C23semidirect
276. #13094003C23semidirect
280. #13093999C23semidirect
281. #13093998C23semidirect
292. #13093995C23semidirect
304. #13093982C23semidirect
305. C2×C4⋊Dic47C23semidirect
306. C4⋊C4×D47C23semidirect
309. #13093949C23semidirect
310. #13093948C23semidirect
311. #13093947C23semidirect
312. #13093947C23semidirect
313. #13093946C23semidirect
314. #13093946C23semidirect
315. #13093946C23semidirect
316. #13093945C23semidirect
317. #13093945C23semidirect
318. #13093945C23semidirect
319. #13093944C23semidirect
320. #13093944C23semidirect
321. #13093944C23semidirect
322. #13093944C23semidirect
323. C22⋊(C47⋊C8)C23semidirect
324. C22⋊(C47⋊C8)C23semidirect
328. (C2×D47)⋊C8C23semidirect
329. (C2×D47)⋊C8C23semidirect
330. (C2×D47)⋊C8C23semidirect
341. C22×D4×C47C23semidirect
343. C2×SD16×C47C23semidirect
345. C2×D8×C47C23semidirect
346. C2×D8×C47C23semidirect
347. C2×D8×C47C23semidirect
348. C2×M16×C47C23semidirect
349. C22×C8×C47C23semidirect
352. #121×C47C23semidirect
353. #121×C47C23semidirect
355. #117×C47C23semidirect
356. #103×C47C23semidirect
357. #103×C47C23semidirect
358. #102×C47C23semidirect
359. #102×C47C23semidirect
360. #102×C47C23semidirect
361. #102×C47C23semidirect
362. C22⋊C8×C47C23semidirect
363. C22⋊C8×C47C23semidirect
389. #41×C47C2×D4semidirect
408. C2×D4×C47C2×D4semidirect
452. #10625354C2×D4semidirect
468. #10625352C2×D4semidirect
496. D4×D47C2×D4semidirect
497. D4×D47C2×D4semidirect
511. #10625350C2×D4semidirect
525. C2×D188C2×D4semidirect
813. C2×D47#576semidirect
838. #3008D47semidirect
875. C2×H(5,𝔽2)C2×D47semidirect
893. C2×AGL(1,ℤ/8)C2×D47semidirect
901. C22×D8C2×D47semidirect
913. #535C2×D47semidirect
937. #449C2×D47semidirect
938. #449C2×D47semidirect
953. #447C2×D47semidirect
954. #447C2×D47semidirect
958. #418C2×D47semidirect
966. #416C2×D47semidirect
974. #408C2×D47semidirect
979. C47#60372semidirect
1079. C22×D4C22×D47semidirect
1105. C2×SD16C22×D47semidirect
1117. C2×D8C22×D47semidirect
1118. C2×D8C22×D47semidirect
1119. C2×D8C22×D47semidirect
1125. C2×M16C22×D47semidirect
1129. C22×C8C22×D47semidirect
1155. #121C22×D47semidirect
1156. #121C22×D47semidirect
1170. #117C22×D47semidirect
1179. #103C22×D47semidirect
1180. #103C22×D47semidirect
1191. #102C22×D47semidirect
1192. #102C22×D47semidirect
1193. #102C22×D47semidirect
1194. #102C22×D47semidirect
1203. C22⋊C8C22×D47semidirect
1204. C22⋊C8C22×D47semidirect
1263. #41D4×D47semidirect
1361. C2×D4D4×D47semidirect

Maximal subgroups

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

subgroupindex
C2×H(5,𝔽2)×D472
C2×#156899272
C2×#156899242
#202570552
#202526952
#202526922
#202526902
#202526872
#202526542
#202526532
#202526512
#202526372
#202526362
#202526172
#202526122
#202526082
#202526032
C2×#156892552
#447×D472
#202519132
#202519102
#202518362
C47×#30082
#6037247