Finite Group Databasebeta

← #27102519

Subgroups — #27102519

Order 12032.

2174 conjugacy classes of subgroups.

The subgroup lattice has 1952 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257692C211yesmaximal, characteristic, complemented
2#20257050C211yesmaximal, characteristic, complemented
3#20255537C211yesmaximal, characteristic, complemented
4#20255402C211yesmaximal, characteristic, complemented
5#20255395C211yesmaximal, characteristic, complemented
6#20255380C211yesmaximal, characteristic, complemented
7#20255331C211yesmaximal, characteristic, complemented
8#20255268C211yesmaximal, characteristic, complemented
9#20255234C211yesmaximal, characteristic, complemented
10#20255197C211yesmaximal, characteristic, complemented
11#20255142C211yesmaximal, characteristic, complemented
12#20255089C211yesmaximal, characteristic, complemented
13#20255066C211yesmaximal, characteristic, complemented
14#20255058C211yesmaximal, characteristic, complemented
15#20254931C211yesmaximal, characteristic, complemented
16#20254922C211yesmaximal, characteristic, complemented
17#20254886C211yesmaximal, characteristic, complemented
18#20254862C211yesmaximal, characteristic, complemented
19#20254486C211yesmaximal, characteristic, complemented
20#20254434C211yesmaximal, characteristic, complemented
21#20254285C211yesmaximal, characteristic, complemented
22#20254242C211yesmaximal, characteristic, complemented
23#20254156C211yesmaximal, characteristic, complemented
24#20254137C211yesmaximal, characteristic, complemented
25#20253651C211yesmaximal, characteristic, complemented
26#20253588C211yesmaximal, characteristic, complemented
27#20252656C211yesmaximal, characteristic, complemented
28#20252609C211yesmaximal, characteristic, complemented
29#449×D47C211yesmaximal, characteristic, complemented
30#20252440C211yesmaximal, characteristic, complemented
31C47×#3012C211yesmaximal, characteristic, complemented
32C2×#41×D47C2211yescharacteristic, complemented
33C2×#13094049C2211yescharacteristic, complemented
34C2×#13094047C2211yescharacteristic, complemented
35C2×#13094045C2211yescharacteristic, complemented
36C2×SD16×D47C2211yescharacteristic, complemented
37C22×#10625334C2211yescharacteristic, complemented
38C2×D8×D47C2211yescharacteristic, complemented
39#15689869—21no—
40#15689861—21no—
41#15689837C2211yescharacteristic, complemented
42#15689821C2211yescharacteristic, complemented
43#15689807C2211yescharacteristic, complemented
44#15689800—21no—
45#15689792C2211yescharacteristic, complemented
46#15689792C2211yescharacteristic, complemented
47#15689792C2211yescharacteristic, complemented
48#15689780C2211yescharacteristic
49#15689780C2211yescharacteristic, complemented
50#15689774C2211yescharacteristic, complemented
51#15689770—21no—
52#15689767—21no—
53#15689767—21no—
54#15689767C2211yescharacteristic, complemented
55#15689767C2211yescharacteristic, complemented
56#15689764C2211yescharacteristic, complemented
57#15689761C2211yescharacteristic, complemented
58#15689757C2211yescharacteristic, complemented
59D4×C22⋊D47—21no—
60D4×C22⋊D47—21no—
61D4×C22⋊D47C2211yescharacteristic
62D4×C22⋊D47C2211yescharacteristic, complemented
63#15689746C2211yescharacteristic, complemented
64#15689726C2211yescharacteristic, complemented
65#15689723—21no—
66#15689705—21no—
67#15689701—21no—
68#15689701C2211yescharacteristic, complemented
69#15689690—21no—
70#15689690C2211yescharacteristic, complemented
71#15689689—21no—
72#15689687C2211yescharacteristic, complemented
73#15689681—21no—
74#15689636C2211yescharacteristic, complemented
75#15689630—21no—
76#15689630C2211yescharacteristic
77C2×#13093995—21no—
78C2×#13093995C2211yescharacteristic, complemented
79#121×D47C2211yescharacteristic, complemented
80#15689606C2211yescharacteristic, complemented
81#15689511C2211yescharacteristic, complemented
82#15689509C2211yescharacteristic, complemented
83#15689504C2211yescharacteristic, complemented
84#15689498C2211yescharacteristic, complemented
85#15689486C2211yescharacteristic, complemented
86#15689481C2211yescharacteristic, complemented
87#15689476C2211yescharacteristic, complemented
88#15689468C2211yescharacteristic, complemented
89#15689465C2211yescharacteristic, complemented
90#15689458C2211yescharacteristic, complemented
91#15689456C2211yescharacteristic, complemented
92#15689448C2211yescharacteristic, complemented
93#15689446C2211yescharacteristic, complemented
94#15689446C2211yescharacteristic, complemented
95#15689442C2211yescharacteristic, complemented
96#15689437C2211yescharacteristic, complemented
97#15689436C2211yescharacteristic, complemented
98#15689435C2211yescharacteristic, complemented
99#15689435C2211yescharacteristic, complemented
100#15689434C2211yescharacteristic, complemented
101#15689428C2211yescharacteristic, complemented
102#15689425C2211yescharacteristic, complemented
103#15689416C2211yescharacteristic, complemented
104#15689401C2211yescharacteristic, complemented
105#15689376C2211yescharacteristic, complemented
106#15689371C2211yescharacteristic, complemented
107#15689369C2211yescharacteristic, complemented
108#15689367C2211yescharacteristic, complemented
109#15689362C2211yescharacteristic, complemented
110#15689359C2211yescharacteristic, complemented
111#15689358C2211yescharacteristic, complemented
112#15689358C2211yescharacteristic, complemented
113#15689358C2211yescharacteristic, complemented
114#15689358C2211yescharacteristic, complemented
115#15689357C2211yescharacteristic, complemented
116#15689356C2211yescharacteristic, complemented
117#15689356C2211yescharacteristic, complemented
118#15689352C2211yescharacteristic, complemented
119#15689349C2211yescharacteristic, complemented
120#15689349C2211yescharacteristic, complemented
121#15689347C2211yescharacteristic, complemented
122#15689343C2211yescharacteristic, complemented
123#15689340C2211yescharacteristic, complemented
124#15689337C2211yescharacteristic, complemented
125#15689337C2211yescharacteristic, complemented
126#15689336C2211yescharacteristic, complemented
127#15689321C2211yescharacteristic, complemented
128#15689321C2211yescharacteristic, complemented
129#15689317C2211yescharacteristic, complemented
130#15689317C2211yescharacteristic, complemented
131#15689316C2211yescharacteristic, complemented
132#15689316C2211yescharacteristic, complemented
133#15689285C2211yescharacteristic, complemented
134#15689283C2211yescharacteristic, complemented
135#15689277C2211yescharacteristic, complemented
136#15689276C2211yescharacteristic, complemented
137#15689272C2211yescharacteristic, complemented
138#15689271C2211yescharacteristic, complemented
139#15689270C2211yescharacteristic, complemented
140#15689270C2211yescharacteristic, complemented
141#15689269C2211yescharacteristic, complemented
142#15689268C2211yescharacteristic
143#15689268C2211yescharacteristic, complemented
144#15689268C2211yescharacteristic, complemented
145#15689268C2211yescharacteristic, complemented
146#15689268C2211yescharacteristic, complemented
147#15689267C2211yescharacteristic, complemented
148#15689267C2211yescharacteristic, complemented
149#15689267C2211yescharacteristic, complemented
150#15689266C2211yescharacteristic, complemented
151#15689265C2211yescharacteristic, complemented
152#15689263C2211yescharacteristic, complemented
153#15689259C2211yescharacteristic, complemented
154#15689258C2211yescharacteristic, complemented
155#15689257C2211yescharacteristic, complemented
156#15689257C2211yescharacteristic, complemented
157#15689257C2211yescharacteristic, complemented
158#15689257C2211yescharacteristic, complemented
159#15689255C2211yescharacteristic, complemented
160#15689255C2211yescharacteristic, complemented
161#15689235C2211yescharacteristic, complemented
162#15689226C2211yescharacteristic, complemented
163#15689226C2211yescharacteristic, complemented
164#15689224C2211yescharacteristic, complemented
165Q16×Dic47C2211yescharacteristic, complemented
166SD16×Dic47C2211yescharacteristic, complemented
167#15689203C2211yescharacteristic, complemented
168#15689203C2211yescharacteristic, complemented
169#15689197C2211yescharacteristic, complemented
170#15689197C2211yescharacteristic, complemented
171#15689192C2211yescharacteristic, complemented
172#15689192C2211yescharacteristic, complemented
173C8×C22⋊D47C2211yescharacteristic, complemented
174C8×C22⋊D47C2211yescharacteristic, complemented
175(C22⋊D47)⋊C8C2211yescharacteristic, complemented
176(C22⋊D47)⋊C8C2211yescharacteristic, complemented
177#15689181C2211yescharacteristic, complemented
178#15689181C2211yescharacteristic, complemented
179#15689128C2211yescharacteristic, complemented
180#15689119C2211yescharacteristic, complemented
181#15689118C2211yescharacteristic, complemented
182#15689116C2211yescharacteristic, complemented
183#103×D47C2211yescharacteristic, complemented
184#102×D47C2211yescharacteristic, complemented
185#15689090C2211yescharacteristic, complemented
186C22⋊C8×D47C2211yescharacteristic, complemented
187C22⋊C8×D47C2211yescharacteristic, complemented
188C2×H(5,𝔽2)×C47C2211yescharacteristic, complemented
189C2×AGL(1,ℤ/8)×C47C2211yescharacteristic, complemented
190C2×#135×C47C2211yescharacteristic, complemented
191C47×#537C2211yescharacteristic, complemented
192C47×#452C2211yescharacteristic, complemented
193C47×#452C2211yescharacteristic, complemented
194C47×#450C2211yescharacteristic, complemented
195C47×#450C2211yescharacteristic, complemented
196C47×#449C2211yescharacteristic, complemented
197C47×#449C2211yescharacteristic, complemented
198C47×#447C2211yescharacteristic, complemented
199C47×#447C2211yescharacteristic, complemented
200C47×#417C2211yescharacteristic, complemented
201C2×#102×C47C2211yescharacteristic, complemented
202C47×#408C2211yescharacteristic, complemented
203C2×#10625354C2311yescharacteristic
204C2×#10625354C2311yescharacteristic
205C2×#10625350—21no—
206C2×#10625350—21no—
207C2×#10625350C2311yescharacteristic
208C2×#10625352—21no—
209C2×#10625352C2311yescharacteristic
210#41×D47—42no—
211#41×D47—42no—
212C2×Q8×D47C2311yescharacteristic
213C22×D188C2311yescharacteristic
214C22×C22⋊D47—21no—
215C22×C22⋊D47—21no—
216C22×C22⋊D47—21no—
217C2×D4×D47—21no—
218C2×D4×D47—21no—
219C2×D4×D47—21no—
220C2×D4×D47C2311yescharacteristic
221C2×D4×D47C2311yescharacteristic
222C22×C4×D47—21no—
223C22×C4×D47C2311yescharacteristic
224#13094049—42no—
225#13094047—42no—
226#13094045—42no—
227C2×#10625337C2311yescharacteristic
228C2×#10625325C2311yescharacteristic
229C2×#10625325C2311yescharacteristic
230C2×#10625335C2311yescharacteristic
231C2×#10625336C2311yescharacteristic
232C2×#10625336C2311yescharacteristic
233C2×#10625336C2311yescharacteristic
234SD16×D47—42no—
235C2×D376C2311yescharacteristic
236C2×D376C2311yescharacteristic
237C2×#10625334—42no—
238C2×#10625334C2311yescharacteristic
239C2×#10625334C2311yescharacteristic
240C2×#10625334C2311yescharacteristic
241C2×#10625334C2311yescharacteristic
242C2×#10625334C2311yescharacteristic
243C2×#10625334C2311yescharacteristic
244C2×#10625334C2311yescharacteristic
245D8×D47—42no—
246C2×#10625329C2311yescharacteristic
247C22×C47⋊C8C2311yescharacteristic
248C2×C8×D47C2311yescharacteristic
249C2×C8×D47C2311yescharacteristic
250C2×C8×D47C2311yescharacteristic
251C2×C8×D47C2311yescharacteristic
252#13094023C2311yescharacteristic
253#13094020—21no—
254#13094020—21no—
255#13094020—21no—
256#13094020—21no—
257#13094020C2311yescharacteristic
258#13094020C2311yescharacteristic
259#13094020C2311yescharacteristic
260#13094019—21no—
261#13094019—21no—
262#13094017—21no—
263#13094015C2311yescharacteristic
264#13094014—21no—
265#13094013—21no—
266#13094013C2311yescharacteristic
267#13094011—21no—
268#13094011—21no—
269#13094011—21no—
270#13094011C2311yescharacteristic
271#13094011C2311yescharacteristic
272#13094010—21no—
273#13094010—21no—
274#13094009—21no—
275#13094009—21no—
276#13094009—21no—
277#13094009—21no—
278#13094008—21no—
279#13094007—21no—
280#13094007—21no—
281#13094006—21no—
282#13094006—21no—
283#13094006—21no—
284#13094005—21no—
285#13094005—21no—
286#13094005D411yescharacteristic
287#13094005D411yescharacteristic
288#13094004—21no—
289#13094003—21no—
290#13094003—21no—
291#13094003C2311yescharacteristic
292#13094003C2311yescharacteristic
293#13094002—21no—
294#13094000—21no—
295#13094000D411yescharacteristic
296#13094000D411yescharacteristic
297#13094000C2311yescharacteristic
298#13093999—21no—
299#13093999C2311yescharacteristic
300#13093999C2311yescharacteristic
301#13093998—21no—
302#13093998—21no—
303#13093998—21no—
304#13093998—21no—
305#13093998C2311yescharacteristic
306#13093998C2311yescharacteristic
307#13093998C2311yescharacteristic
308#13093998C2311yescharacteristic
309#13093998C2311yescharacteristic
310#13093998C2311yescharacteristic
311#13093997—21no—
312#13093997—21no—
313#13093996—21no—
314#13093996—21no—
315#13093996—21no—
316#13093996—21no—
317#13093996—21no—
318#13093996—21no—
319#13093996—21no—
320#13093996—21no—
321#13093996—21no—
322#13093996—21no—
323#13093995—21no—
324#13093995—21no—
325#13093995—21no—
326#13093995—21no—
327#13093995—21no—
328#13093995—21no—
329#13093995—21no—
330#13093995—21no—
331#13093995—21no—
332#13093995—21no—
333#13093995—21no—
334#13093995D411yescharacteristic
335#13093995D411yescharacteristic
336#13093995C2311yescharacteristic
337#13093995C2311yescharacteristic
338#13093995C2311yescharacteristic
339#13093995C2311yescharacteristic
340#13093995C2311yescharacteristic
341#13093994—21no—
342#13093994—21no—
343#13093994—21no—
344#13093993—21no—
345#13093993—21no—
346#13093993—21no—
347#13093993—21no—
348#13093993—21no—
349#13093993—21no—
350#13093992—21no—
351#13093992—21no—
352#13093992—21no—
353#13093992—21no—
354#13093992—21no—
355#13093992—21no—
356#13093992D411yescharacteristic
357#13093992D411yescharacteristic
358Q8×Dic47C2311yescharacteristic
359Q8×Dic47C2311yescharacteristic
360Q8×Dic47C2311yescharacteristic
361D4×Dic47—21no—
362D4×Dic47—21no—
363D4×Dic47C2311yescharacteristic
364D4×Dic47C2311yescharacteristic
365D4×Dic47C2311yescharacteristic
366#13093986—21no—
367#13093986C2311yescharacteristic
368#13093986C2311yescharacteristic
369C4×C22⋊D47—21no—
370C4×C22⋊D47—21no—
371C4×C22⋊D47—21no—
372C4×C22⋊D47—21no—
373C4×C22⋊D47—21no—
374C4×C22⋊D47—21no—
375C4×C22⋊D47C2311yescharacteristic
376C4×C22⋊D47C2311yescharacteristic
377C4×C22⋊D47C2311yescharacteristic
378C4×C22⋊D47C2311yescharacteristic
379(C22⋊D47)⋊C4—21no—
380#13093983—21no—
381#13093983C2311yescharacteristic
382#13093983C2311yescharacteristic
383#13093982—21no—
384#13093982C2311yescharacteristic
385#13093980—21no—
386C2×C4⋊Dic47—21no—
387C2×C4⋊Dic47C2311yescharacteristic
388C4⋊C4×D47C2311yescharacteristic
389C2×C22⋊Dic47—21no—
390C2×C22⋊Dic47—21no—
391C2×C22⋊Dic47—21no—
392C2×(C2×D47)⋊C4—21no—
393C22⋊C4×D47—21no—
394C22⋊C4×D47—21no—
395#13093958C2311yescharacteristic
396#13093958C2311yescharacteristic
397#13093957C2311yescharacteristic
398#13093957C2311yescharacteristic
399#13093957C2311yescharacteristic
400#13093957C2311yescharacteristic
401#13093956C2311yescharacteristic
402#13093956C2311yescharacteristic
403Dic47⋊C8C2311yescharacteristic
404Dic47⋊C8C2311yescharacteristic
405Dic47⋊C8C2311yescharacteristic
406Dic47⋊C8C2311yescharacteristic
407#13093949C2311yescharacteristic
408#13093949C2311yescharacteristic
409#13093948C2311yescharacteristic
410#13093948C2311yescharacteristic
411#13093948C2311yescharacteristic
412#13093948C2311yescharacteristic
413#13093947C2311yescharacteristic
414#13093947C2311yescharacteristic
415#13093946C2311yescharacteristic
416#13093946C2311yescharacteristic
417#13093946C2311yescharacteristic
418#13093946C2311yescharacteristic
419#13093946C2311yescharacteristic
420#13093946C2311yescharacteristic
421#13093945C2311yescharacteristic
422#13093945C2311yescharacteristic
423#13093945C2311yescharacteristic
424#13093945C2311yescharacteristic
425#13093945C2311yescharacteristic
426#13093945C2311yescharacteristic
427#13093945C2311yescharacteristic
428#13093945C2311yescharacteristic
429#13093944C2311yescharacteristic
430#13093944C2311yescharacteristic
431C22⋊(C47⋊C8)C2311yescharacteristic
432C22⋊(C47⋊C8)C2311yescharacteristic
433C22⋊(C47⋊C8)C2311yescharacteristic
434C22⋊(C47⋊C8)C2311yescharacteristic
435(C2×D47)⋊C8C2311yescharacteristic
436(C2×D47)⋊C8C2311yescharacteristic
437(C2×D47)⋊C8C2311yescharacteristic
438(C2×D47)⋊C8C2311yescharacteristic
439#13093934C2311yescharacteristic
440#13093934C2311yescharacteristic
441C8×Dic47C2311yescharacteristic
442C8×Dic47C2311yescharacteristic
443H(5,𝔽2)×C47—42no—
444H(5,𝔽2)×C47—42no—
445C2×#41×C47—21no—
446C2×#41×C47C2311yescharacteristic
447C2×#41×C47C2311yescharacteristic
448C2×#41×C47C2311yescharacteristic
449C2×#41×C47C2311yescharacteristic
450C2×#41×C47C2311yescharacteristic
451C22×D4×C47—21no—
452C22×D4×C47—21no—
453C22×D4×C47—21no—
454C22×D4×C47C2311yescharacteristic
455C22×D4×C47C2311yescharacteristic
456C22×D4×C47C2311yescharacteristic
457AGL(1,ℤ/8)×C47—42no—
458#135×C47—42no—
459C2×Q16×C47C2311yescharacteristic
460C2×SD16×C47C2311yescharacteristic
461C2×SD16×C47C2311yescharacteristic
462C2×SD16×C47C2311yescharacteristic
463C2×SD16×C47C2311yescharacteristic
464C2×D8×C47C2311yescharacteristic
465C2×D8×C47C2311yescharacteristic
466C2×D8×C47C2311yescharacteristic
467C2×M16×C47C2311yescharacteristic
468C22×C8×C47C2311yescharacteristic
469C22⋊Q8×C47—21no—
470C22⋊Q8×C47C2311yescharacteristic
471C22⋊Q8×C47C2311yescharacteristic
472#121×C47—21no—
473#121×C47—21no—
474#121×C47—21no—
475#121×C47C2311yescharacteristic
476#121×C47C2311yescharacteristic
477C2×C4⋊C4×C47C2311yescharacteristic
478#103×C47C2311yescharacteristic
479#103×C47C2311yescharacteristic
480#102×C47C2311yescharacteristic
481#102×C47C2311yescharacteristic
482#102×C47C2311yescharacteristic
483#102×C47C2311yescharacteristic
484#102×C47C2311yescharacteristic
485#102×C47C2311yescharacteristic
486C22⋊C8×C47C2311yescharacteristic
487C22⋊C8×C47C2311yescharacteristic
488C22⋊C8×C47C2311yescharacteristic
489C22⋊C8×C47C2311yescharacteristic
490C24×C47—21no—
491C24×C47—21no—
492C24×C47—21no—
493C23×D47—21no—
494C23×D47—21no—
495C23×D47—21no—
496C23×D47C2×D411yescharacteristic
497#41×C47—22no—
498#41×C47—22no—
499#41×C47—22no—
500#41×C47—22no—
501#41×C47—41no—
502#41×C47—41no—
503#41×C47—41no—
504#41×C47—41no—
505#41×C47—44no—
506#41×C47—41no—
507#41×C47—41no—
508C2×Q8×C47C2×D411yescharacteristic
509C2×Q8×C47C2411yescharacteristic
510C2×Q8×C47C2411yescharacteristic
511C2×D4×C47—21no—
512C2×D4×C47—22no—
513C2×D4×C47—22no—
514C2×D4×C47—21no—
515C2×D4×C47—21no—
516C2×D4×C47—21no—
517C2×D4×C47—21no—
518C2×D4×C47—21no—
519C2×D4×C47—21no—
520C2×D4×C47—21no—
521C2×D4×C47—21no—
522C2×D4×C47—41no—
523C2×D4×C47—41no—
524C2×D4×C47—41no—
525C2×D4×C47—41no—
526C2×D4×C47—44no—
527C2×D4×C47—44no—
528C2×D4×C47—44no—
529C2×D4×C47C2×D411yescharacteristic
530C2×D4×C47C2×D411yescharacteristic
531C2×D4×C47C2×D411yescharacteristic
532C2×D4×C47C2411yescharacteristic
533C2×D4×C47C2411yescharacteristic
534C2×D4×C47C2411yescharacteristic
535C2×D4×C47C2411yescharacteristic
536C22×C4×C47—21no—
537C22×C4×C47—21no—
538C22×C4×C47—21no—
539C22×C4×C47—21no—
540C22×C4×C47—21no—
541C22×C4×C47C2411yescharacteristic
542C22×C4×C47C2411yescharacteristic
543C22×C4×C47C2411yescharacteristic
544C2×C22⋊D47—21no—
545C2×C22⋊D47—21no—
546C2×C22⋊D47—21no—
547C2×C22⋊D47—21no—
548C2×C22⋊D47—21no—
549C2×C22⋊D47—21no—
550C2×C22⋊D47—21no—
551C2×C22⋊D47—21no—
552C2×C22⋊D47—21no—
553C2×C22⋊D47—21no—
554C2×C22⋊D47—21no—
555C2×C22⋊D47—21no—
556C2×C22⋊D47—21no—
557C2×C22⋊D47—21no—
558C2×C22⋊D47—21no—
559C2×C22⋊D47—21no—
560C2×C22⋊D47—21no—
561C2×C22⋊D47—21no—
562C2×C22⋊D47—21no—
563C2×C22⋊D47—21no—
564C2×C22⋊D47—21no—
565C2×C22⋊D47—82no—
566C2×C22⋊D47—82no—
567C2×C22⋊D47—82no—
568C2×C22⋊D47C2×D411yescharacteristic
569C2×C22⋊D47C2×D411yescharacteristic
570C2×C22⋊D47C2×D411yescharacteristic
571C2×C22⋊D47C2×D411yescharacteristic
572C22×Dic47—21no—
573C22×Dic47—21no—
574C22×Dic47—21no—
575C22×Dic47—21no—
576C22×Dic47—21no—
577C22×Dic47C2×D411yescharacteristic
578#10625354—22no—
579#10625354—41no—
580#10625354—41no—
581#10625354—41no—
582Q8×D47—22no—
583Q8×D47—41no—
584#10625352—22no—
585#10625352—41no—
586#10625352—44no—
587D4×D47—22no—
588D4×D47—41no—
589D4×D47—41no—
590D4×D47—41no—
591D4×D47—44no—
592D4×D47—82no—
593D4×D47—82no—
594#10625350—41no—
595#10625350—41no—
596#10625350—44no—
597#10625350—82no—
598C2×D188—21no—
599C2×D188—21no—
600C2×D188—21no—
601C2×D188—21no—
602C2×D188—21no—
603C2×D188—41no—
604C2×D188—41no—
605C2×D188C2411yescharacteristic
606C2×D188C2411yescharacteristic
607C2×D188C2411yescharacteristic
608C2×C4×D47—21no—
609C2×C4×D47—21no—
610C2×C4×D47—21no—
611C2×C4×D47—21no—
612C2×C4×D47—21no—
613C2×C4×D47—21no—
614C2×C4×D47—21no—
615C2×C4×D47—41no—
616C2×C4×D47—41no—
617C2×C4×D47—44no—
618C2×C4×D47C2×D411yescharacteristic
619C2×C4×D47C2×D411yescharacteristic
620C2×C4×D47C2411yescharacteristic
621C2×C4×D47C2411yescharacteristic
622C2×Dic94—21no—
623C2×Dic94—21no—
624C2×Dic94C2411yescharacteristic
625Q16×C47—22no—
626SD16×C47—22no—
627SD16×C47—22no—
628SD16×C47—41no—
629SD16×C47—41no—
630D8×C47—22no—
631D8×C47—41no—
632D8×C47—41no—
633M16×C47—41no—
634C2×C8×C47—41no—
635C2×C8×C47C2411yescharacteristic
636C2×C8×C47C2411yescharacteristic
637C2×C8×C47C2411yescharacteristic
638C2×C8×C47C2411yescharacteristic
639C4⋊C4×C47—21no—
640C4⋊C4×C47—21no—
641C4⋊C4×C47—21no—
642C4⋊C4×C47C2411yescharacteristic
643C4⋊C4×C47C2411yescharacteristic
644C22⋊C4×C47—21no—
645C22⋊C4×C47—21no—
646C22⋊C4×C47—21no—
647C22⋊C4×C47—21no—
648C22⋊Dic47—21no—
649C22⋊Dic47—21no—
650C22⋊Dic47—21no—
651C22⋊Dic47—21no—
652C22⋊Dic47—21no—
653C22⋊Dic47—21no—
654C22⋊Dic47—21no—
655C22⋊Dic47—21no—
656C22⋊Dic47—21no—
657C22⋊Dic47—21no—
658C22⋊Dic47—21no—
659C22⋊Dic47—21no—
660C22⋊Dic47—21no—
661C22⋊Dic47—21no—
662C22⋊Dic47—21no—
663C22⋊Dic47C2×D411yescharacteristic
664C22⋊Dic47C2×D411yescharacteristic
665C22⋊Dic47C2×D411yescharacteristic
666C22⋊Dic47C2×D411yescharacteristic
667C22⋊Dic47C2×D411yescharacteristic
668C22⋊Dic47C2×D411yescharacteristic
669#10625337—41no—
670#10625336—22no—
671#10625336—22no—
672#10625336—41no—
673#10625335—41no—
674#10625334—22no—
675#10625334—22no—
676#10625334—41no—
677#10625334—41no—
678#10625334—41no—
679#10625334—41no—
680#10625334—41no—
681(C2×D47)⋊C4—21no—
682(C2×D47)⋊C4—21no—
683(C2×D47)⋊C4—21no—
684(C2×D47)⋊C4—21no—
685(C2×D47)⋊C4—21no—
686(C2×D47)⋊C4—21no—
687(C2×D47)⋊C4—21no—
688(C2×D47)⋊C4—21no—
689(C2×D47)⋊C4—21no—
690(C2×D47)⋊C4—21no—
691(C2×D47)⋊C4—21no—
692(C2×D47)⋊C4—21no—
693(C2×D47)⋊C4—21no—
694(C2×D47)⋊C4—21no—
695(C2×D47)⋊C4C2×D411yescharacteristic
696(C2×D47)⋊C4C2×D411yescharacteristic
697(C2×D47)⋊C4C2×D411yescharacteristic
698(C2×D47)⋊C4C2×D411yescharacteristic
699C4⋊Dic47—21no—
700C4⋊Dic47—21no—
701C4⋊Dic47—21no—
702C4⋊Dic47—21no—
703C4⋊Dic47—21no—
704C4⋊Dic47C2×D411yescharacteristic
705C4⋊Dic47C2×D411yescharacteristic
706C4⋊Dic47C2411yescharacteristic
707C4⋊Dic47C2411yescharacteristic
708C4⋊Dic47C2411yescharacteristic
709C4⋊Dic47C2411yescharacteristic
710Dic47⋊C4—21no—
711Dic47⋊C4—21no—
712Dic47⋊C4—21no—
713Dic47⋊C4—21no—
714Dic47⋊C4—21no—
715Dic47⋊C4—21no—
716Dic47⋊C4C2×D411yescharacteristic
717Dic47⋊C4C2×D411yescharacteristic
718Dic47⋊C4C2×D411yescharacteristic
719Dic47⋊C4C2×D411yescharacteristic
720C4×Dic47—21no—
721C4×Dic47—21no—
722C4×Dic47—21no—
723C4×Dic47—21no—
724C4×Dic47—21no—
725C4×Dic47C2411yescharacteristic
726C4×Dic47C2411yescharacteristic
727#10625329—41no—
728C2×C47⋊C8—41no—
729C2×C47⋊C8C2411yescharacteristic
730C2×C47⋊C8C2411yescharacteristic
731C2×C47⋊C8C2411yescharacteristic
732C2×C47⋊C8C2411yescharacteristic
733D376—41no—
734D376—41no—
735#10625325—41no—
736#10625325—41no—
737C8×D47—41no—
738C8×D47—41no—
739C8×D47—41no—
740C8×D47—41no—
741C23×C47—21no—
742C23×C47—21no—
743C23×C47—21no—
744C23×C47—21no—
745C23×C47—42no—
746C23×C47—42no—
747C23×C47—42no—
748C23×C47—81no—
749C23×C47—81no—
750C23×C47—81no—
751C23×C47—81no—
752C23×C47—81no—
753C23×C47—81no—
754C23×C47C22×D411yescharacteristic
755C23×C47C22×D411yescharacteristic
756C23×C47C22×D411yescharacteristic
757C22×D47—22no—
758C22×D47—21no—
759C22×D47—21no—
760C22×D47—21no—
761C22×D47—41no—
762C22×D47—41no—
763C22×D47—42no—
764C22×D47—42no—
765C22×D47—42no—
766C22×D47—81no—
767C22×D47—81no—
768C22×D47—81no—
769C22×D47—81no—
770C22×D47—81no—
771C22×D47—81no—
772C22×D47C22×D411yescharacteristic
773C22×D47C22×D411yescharacteristic
774Q8×C47—21no—
775Q8×C47—21no—
776Q8×C47—21no—
777Q8×C47—41no—
778Q8×C47H(5,𝔽2)12yes—
779D4×C47—24no—
780D4×C47—21no—
781D4×C47—21no—
782D4×C47—21no—
783D4×C47—21no—
784D4×C47—21no—
785D4×C47—21no—
786D4×C47—21no—
787D4×C47—41no—
788D4×C47—41no—
789D4×C47—41no—
790D4×C47—42no—
791D4×C47—42no—
792D4×C47—42no—
793D4×C47—42no—
794D4×C47—42no—
795D4×C47—81no—
796D4×C47—81no—
797D4×C47—81no—
798D4×C47H(5,𝔽2)12yes—
799C2×C4×C47—24no—
800C2×C4×C47—21no—
801C2×C4×C47—21no—
802C2×C4×C47—21no—
803C2×C4×C47—21no—
804C2×C4×C47—21no—
805C2×C4×C47—21no—
806C2×C4×C47—21no—
807C2×C4×C47—21no—
808C2×C4×C47—21no—
809C2×C4×C47—21no—
810C2×C4×C47—42no—
811C2×C4×C47—42no—
812C2×C4×C47—81no—
813C2×C4×C47—81no—
814C2×C4×C47C22×D411yescharacteristic
815C2×C4×C47C22×D411yescharacteristic
816C2×C4×C47C22×D411yescharacteristic
817C2×C4×C47C2511yescharacteristic
818C22⋊D47—22no—
819C22⋊D47—22no—
820C22⋊D47—41no—
821C22⋊D47—41no—
822C22⋊D47—42no—
823C22⋊D47—42no—
824C22⋊D47—42no—
825C22⋊D47—42no—
826C22⋊D47—42no—
827C22⋊D47—81no—
828C22⋊D47—81no—
829C22⋊D47—81no—
830C22⋊D47—81no—
831C22⋊D47—81no—
832C22⋊D47—81no—
833C22⋊D47—81no—
834C22⋊D47—81no—
835C22⋊D47—81no—
836C22⋊D47—81no—
837C22⋊D47—81no—
838C22⋊D47—81no—
839C22⋊D47—81no—
840C22⋊D47—81no—
841C22⋊D47—81no—
842C22⋊D47—81no—
843C2×Dic47—21no—
844C2×Dic47—21no—
845C2×Dic47—21no—
846C2×Dic47—21no—
847C2×Dic47—21no—
848C2×Dic47—41no—
849C2×Dic47—42no—
850C2×Dic47—81no—
851C2×Dic47—81no—
852C2×Dic47—81no—
853C2×Dic47—81no—
854C2×Dic47C22×D411yescharacteristic
855C2×Dic47C22×D411yescharacteristic
856C2×Dic47C22×D411yescharacteristic
857C2×Dic47C22×D411yescharacteristic
858C2×Dic47C22×D411yescharacteristic
859C2×Dic47C22×D411yescharacteristic
860D188—21no—
861D188—21no—
862D188—21no—
863D188—21no—
864D188—21no—
865D188—21no—
866D188—42no—
867D188—42no—
868D188—81no—
869D188—81no—
870D188—81no—
871C4×D47—21no—
872C4×D47—21no—
873C4×D47—21no—
874C4×D47—21no—
875C4×D47—41no—
876C4×D47—41no—
877C4×D47—42no—
878C4×D47—42no—
879C4×D47—42no—
880C4×D47—42no—
881C4×D47—81no—
882C4×D47—81no—
883C4×D47—81no—
884Dic94—21no—
885Dic94—21no—
886Dic94—42no—
887Dic94—81no—
888C8×C47—21no—
889C8×C47—21no—
890C8×C47—21no—
891C8×C47—21no—
892C47⋊C8—21no—
893C47⋊C8—21no—
894C47⋊C8—21no—
895C47⋊C8—21no—
896#61639—471nomaximal, Sylow
897C22×C47—21no—
898C22×C47—21no—
899C22×C47—21no—
900C22×C47—21no—
901C22×C47—22no—
902C22×C47—21no—
903C22×C47—21no—
904C22×C47—21no—
905C22×C47—21no—
906C22×C47—21no—
907C22×C47—41no—
908C22×C47—41no—
909C22×C47—41no—
910C22×C47—41no—
911C22×C47—41no—
912C22×C47—41no—
913C22×C47—41no—
914C22×C47—41no—
915C22×C47—41no—
916C22×C47—41no—
917C22×C47—41no—
918C22×C47—162no—
919C22×C47—162no—
920C22×C47—162no—
921C22×C47C23×D411yescharacteristic
922C2×D47—21no—
923C2×D47—21no—
924C2×D47—21no—
925C2×D47—21no—
926C2×D47—21no—
927C2×D47—41no—
928C2×D47—41no—
929C2×D47—41no—
930C2×D47—41no—
931C2×D47—41no—
932C2×D47—41no—
933C2×D47—41no—
934C2×D47—41no—
935C2×D47—41no—
936C2×D47—82no—
937C2×D47—84no—
938C2×D47—162no—
939C2×D47—162no—
940C2×D47#57612yes—
941C4×C47—22no—
942C4×C47—21no—
943C4×C47—21no—
944C4×C47—21no—
945C4×C47—41no—
946C4×C47—41no—
947C4×C47—41no—
948C4×C47C2×H(5,𝔽2)11yescharacteristic
949C4×C47C2×H(5,𝔽2)11yescharacteristic
950Dic47—21no—
951Dic47—21no—
952Dic47—21no—
953Dic47—21no—
954Dic47—21no—
955Dic47—21no—
956Dic47—41no—
957Dic47—41no—
958Dic47—41no—
959Dic47—41no—
960Dic47—41no—
961#3542—471no—
962#3488—471no—
963#3319—471no—
964#3310—471no—
965#3309—471no—
966#3308—471no—
967#3305—471no—
968#3300—471no—
969#3297—471no—
970#3294—471no—
971#3287—471no—
972#3282—471no—
973#3280—471no—
974D4×D8—471no—
975#3268—471no—
976#3268—471no—
977#3265—471no—
978#3264—471no—
979#3224—471no—
980#3220—471no—
981#3203—471no—
982#3198—471no—
983#3188—471no—
984#3186—471no—
985#3124—471no—
986#3119—471no—
987#3012D4711yescharacteristic, complemented
988#3008—471no—
989#3002—471no—
990C2×#449—471no—
991#2977—471no—
992C2×C47—41no—
993C2×C47—42no—
994C2×C47—41no—
995C2×C47—41no—
996C2×C47—81no—
997C2×C47—81no—
998C2×C47—81no—
999C2×C47#348411yescharacteristic
1000C2×C47C2×#57611yescharacteristic
1001C2×C47#358411yescharacteristic
1002D47—22no—
1003D47—41no—
1004D47—81no—
1005D47—81no—
1006D47—81no—
1007C2×H(5,𝔽2)C2×D4711yescharacteristic, complemented
1008C22×#41—471no—
1009C2×AGL(1,ℤ/8)—471no—
1010C2×AGL(1,ℤ/8)C2×D4711yescharacteristic, complemented
1011C2×#135—471no—
1012C2×#135—471no—
1013C2×#135C2×D4711yescharacteristic, complemented
1014C22×SD16—471no—
1015C22×D8—471no—
1016C22×D8—471no—
1017#562—941no—
1018#560—941no—
1019#555—471no—
1020#553—471no—
1021#552—471no—
1022#551—941no—
1023#550—471no—
1024#550—471no—
1025#550—471no—
1026#548—471no—
1027#548—471no—
1028#547—471no—
1029#546—471no—
1030#546—471no—
1031#546—471no—
1032#546—471no—
1033#546—941no—
1034#546—941no—
1035#546—941no—
1036D42—471no—
1037D42—471no—
1038D42—471no—
1039D42—941no—
1040D42—941no—
1041#542—471no—
1042#540—471no—
1043#540—941no—
1044#538—941no—
1045#537—471no—
1046#537—941no—
1047#537C2×D4711yescharacteristic, complemented
1048#535—471no—
1049#535—471no—
1050#535—941no—
1051#535—941no—
1052#534—941no—
1053#525—471no—
1054#525—471no—
1055#525—941no—
1056C2×#121—471no—
1057C2×#121—471no—
1058C2×#121—941no—
1059#520—471no—
1060#496—471no—
1061#496—471no—
1062#495—471no—
1063#493—471no—
1064#490—471no—
1065#489—471no—
1066#488—471no—
1067#486—471no—
1068#485—471no—
1069#484—471no—
1070#484—471no—
1071#482—471no—
1072#482—471no—
1073#482—471no—
1074#481—471no—
1075#480—471no—
1076#480—471no—
1077#480—471no—
1078#480—471no—
1079#480—471no—
1080#479—471no—
1081#478—471no—
1082#477—471no—
1083#474—471no—
1084#469—471no—
1085#468—471no—
1086#468—471no—
1087#468—471no—
1088#467—471no—
1089#466—471no—
1090#466—471no—
1091#466—471no—
1092#466—471no—
1093#466—471no—
1094#466—471no—
1095#466—471no—
1096#466—471no—
1097#465—471no—
1098#465—471no—
1099#465—471no—
1100#464—471no—
1101#464—471no—
1102#463—471no—
1103#463—471no—
1104#463—471no—
1105#463—471no—
1106#460—471no—
1107#460—471no—
1108#459—471no—
1109#459—471no—
1110#459—471no—
1111#459—471no—
1112#452—471no—
1113#452—471no—
1114#452C2×D4711yescharacteristic, complemented
1115#452C2×D4711yescharacteristic, complemented
1116#451—471no—
1117#450—471no—
1118#450—471no—
1119#450C2×D4711yescharacteristic, complemented
1120#450C2×D4711yescharacteristic, complemented
1121#449—471no—
1122#449—471no—
1123#449—471no—
1124#449—471no—
1125#449—471no—
1126#449—471no—
1127#449—471no—
1128#449—471no—
1129#449—471no—
1130#449—471no—
1131#449—471no—
1132#449—471no—
1133#449—471no—
1134#449—471no—
1135#449C2×D4711yescharacteristic, complemented
1136#449C2×D4711yescharacteristic, complemented
1137#448—471no—
1138#447—471no—
1139#447—471no—
1140#447—471no—
1141#447—471no—
1142#447—471no—
1143#447—471no—
1144#447—471no—
1145#447—471no—
1146#447C2×D4711yescharacteristic, complemented
1147#447C2×D4711yescharacteristic, complemented
1148#442—471no—
1149#440—471no—
1150#440—471no—
1151#440—471no—
1152C4×Q16—471no—
1153C4×SD16—471no—
1154C4×D8—471no—
1155C4×D8—471no—
1156#435—471no—
1157#435—471no—
1158#435—471no—
1159#435—471no—
1160C8×D4—471no—
1161C8×D4—471no—
1162C8×D4—471no—
1163C8×D4—471no—
1164#433—471no—
1165#433—471no—
1166#418—471no—
1167#417C2×D4711yescharacteristic, complemented
1168#416—471no—
1169#416—471no—
1170#416—471no—
1171C2×#103—471no—
1172C2×#102—471no—
1173C2×#102C2×D4711yescharacteristic, complemented
1174#408—471no—
1175#408C2×D4711yescharacteristic, complemented
1176C2×C22⋊C8—471no—
1177C2×C22⋊C8—471no—
1178C47#6163911yescharacteristic, complemented, Sylow
1179H(5,𝔽2)—42no—
1180H(5,𝔽2)—42no—
1181C2×#41—21no—
1182C2×#41—471no—
1183C2×#41—471no—
1184C2×#41—471no—
1185C2×#41—471no—
1186C2×#41—941no—
1187C2×#41—941no—
1188C2×#41—941no—
1189C2×#41—1882no—
1190C2×#41—1882no—
1191C2×#41C22×D4711yescharacteristic
1192C2×#41C22×D4711yescharacteristic
1193C2×#41C22×D4711yescharacteristic
1194C2×#41C22×D4711yescharacteristic
1195C2×#41C22×D4711yescharacteristic
1196C22×Q8—471no—
1197C22×D4—21no—
1198C22×D4—21no—
1199C22×D4—21no—
1200C22×D4—471no—
1201C22×D4—471no—
1202C22×D4—471no—
1203C22×D4—941no—
1204C22×D4—941no—
1205C22×D4—941no—
1206C22×D4—941no—
1207C22×D4—941no—
1208C22×D4—941no—
1209C22×D4C22×D4711yescharacteristic
1210C22×D4C22×D4711yescharacteristic
1211C22×D4C22×D4711yescharacteristic
1212C23×C4—471no—
1213C23×C4—941no—
1214AGL(1,ℤ/8)—42no—
1215AGL(1,ℤ/8)—1882no—
1216#135—42no—
1217#135—1882no—
1218#135—1882no—
1219C2×Q16—471no—
1220C2×Q16C22×D4711yescharacteristic
1221C2×SD16—471no—
1222C2×SD16—471no—
1223C2×SD16—471no—
1224C2×SD16—471no—
1225C2×SD16—471no—
1226C2×SD16—471no—
1227C2×SD16—1882no—
1228C2×SD16C22×D4711yescharacteristic
1229C2×SD16C22×D4711yescharacteristic
1230C2×SD16C22×D4711yescharacteristic
1231C2×SD16C22×D4711yescharacteristic
1232C2×D8—471no—
1233C2×D8—471no—
1234C2×D8—471no—
1235C2×D8—471no—
1236C2×D8—471no—
1237C2×D8—471no—
1238C2×D8—471no—
1239C2×D8—471no—
1240C2×D8—471no—
1241C2×D8—1882no—
1242C2×D8—1882no—
1243C2×D8C22×D4711yescharacteristic
1244C2×D8C22×D4711yescharacteristic
1245C2×D8C22×D4711yescharacteristic
1246C2×M16—471no—
1247C2×M16C22×D4711yescharacteristic
1248C22×C8—471no—
1249C22×C8—471no—
1250C22×C8—471no—
1251C22×C8—471no—
1252C22×C8—471no—
1253C22×C8C22×D4711yescharacteristic
1254C4⋊Q8—471no—
1255#127—471no—
1256#127—471no—
1257#127—471no—
1258#127—941no—
1259#127—941no—
1260#127—941no—
1261#127—941no—
1262#126—941no—
1263#126—941no—
1264#126—941no—
1265#125—471no—
1266#125—941no—
1267#124—471no—
1268#124—471no—
1269#124—471no—
1270#124—941no—
1271#124—941no—
1272#124—941no—
1273#124—941no—
1274#124—941no—
1275#124—941no—
1276#123—471no—
1277#123—471no—
1278#123—941no—
1279#123—941no—
1280#123—941no—
1281#123—941no—
1282#123—941no—
1283#123—941no—
1284#123—941no—
1285#123—941no—
1286#123—941no—
1287#123—941no—
1288#123—941no—
1289#123—941no—
1290C22⋊Q8—21no—
1291C22⋊Q8—471no—
1292C22⋊Q8—471no—
1293C22⋊Q8—471no—
1294C22⋊Q8—471no—
1295C22⋊Q8—471no—
1296C22⋊Q8—941no—
1297C22⋊Q8—941no—
1298C22⋊Q8—941no—
1299C22⋊Q8—941no—
1300C22⋊Q8—941no—
1301C22⋊Q8C22×D4711yescharacteristic
1302C22⋊Q8C22×D4711yescharacteristic
1303#121—21no—
1304#121—21no—
1305#121—21no—
1306#121—471no—
1307#121—471no—
1308#121—471no—
1309#121—471no—
1310#121—471no—
1311#121—471no—
1312#121—471no—
1313#121—471no—
1314#121—471no—
1315#121—471no—
1316#121—471no—
1317#121—471no—
1318#121—471no—
1319#121—471no—
1320#121—471no—
1321#121—941no—
1322#121—941no—
1323#121—941no—
1324#121—941no—
1325#121—941no—
1326#121—941no—
1327#121—941no—
1328#121—941no—
1329#121—941no—
1330#121—941no—
1331#121—941no—
1332#121—941no—
1333#121—941no—
1334#121—941no—
1335#121—941no—
1336#121—941no—
1337#121—941no—
1338#121—941no—
1339#121—941no—
1340#121—941no—
1341#121—941no—
1342#121—941no—
1343#121—941no—
1344#121—941no—
1345#121—941no—
1346#121—941no—
1347#121—941no—
1348#121—941no—
1349#121C22×D4711yescharacteristic
1350#121C22×D4711yescharacteristic
1351#120—471no—
1352#120—471no—
1353#120—941no—
1354#120—941no—
1355#120—941no—
1356#120—941no—
1357#120—941no—
1358#120—941no—
1359#120—941no—
1360#120—941no—
1361#120—941no—
1362#120—941no—
1363#120—941no—
1364#120—941no—
1365#120—941no—
1366#120—941no—
1367#120—941no—
1368C4×Q8—471no—
1369C4×Q8—471no—
1370C4×Q8—471no—
1371C4×D4—471no—
1372C4×D4—471no—
1373C4×D4—471no—
1374C4×D4—471no—
1375C4×D4—471no—
1376C4×D4—471no—
1377C4×D4—471no—
1378C4×D4—471no—
1379C4×D4—471no—
1380C4×D4—941no—
1381C4×D4—941no—
1382C4×D4—941no—
1383C4×D4—941no—
1384C4×D4—941no—
1385C4×D4—941no—
1386C4×D4—941no—
1387C4×D4—941no—
1388C4×D4—941no—
1389C4×D4—941no—
1390#117—471no—
1391#117—471no—
1392#117—471no—
1393#117—941no—
1394#117—941no—
1395#117—941no—
1396C2×C4⋊C4—471no—
1397C2×C4⋊C4—471no—
1398C2×C4⋊C4—941no—
1399C2×C4⋊C4C22×D4711yescharacteristic
1400C2×C22⋊C4—941no—
1401C2×C22⋊C4—941no—
1402C2×C22⋊C4—941no—
1403C2×C22⋊C4—941no—
1404C2×C22⋊C4—941no—
1405C2×C22⋊C4—941no—
1406#107—471no—
1407#107—471no—
1408#107—471no—
1409#107—471no—
1410#107—471no—
1411#107—471no—
1412#106—471no—
1413#106—471no—
1414C4⋊C8—471no—
1415C4⋊C8—471no—
1416C4⋊C8—471no—
1417C4⋊C8—471no—
1418#103—471no—
1419#103—471no—
1420#103—471no—
1421#103—471no—
1422#103—471no—
1423#103—471no—
1424#103—471no—
1425#103—471no—
1426#103C22×D4711yescharacteristic
1427#103C22×D4711yescharacteristic
1428#102—471no—
1429#102—471no—
1430#102—471no—
1431#102—471no—
1432#102—471no—
1433#102—471no—
1434#102—471no—
1435#102—471no—
1436#102—471no—
1437#102—471no—
1438#102—471no—
1439#102—471no—
1440#102—471no—
1441#102—471no—
1442#102—471no—
1443#102—471no—
1444#102C22×D4711yescharacteristic
1445#102C22×D4711yescharacteristic
1446#102C22×D4711yescharacteristic
1447#102C22×D4711yescharacteristic
1448#102C22×D4711yescharacteristic
1449#102C22×D4711yescharacteristic
1450C22⋊C8—471no—
1451C22⋊C8—471no—
1452C22⋊C8—471no—
1453C22⋊C8—471no—
1454C22⋊C8—471no—
1455C22⋊C8—471no—
1456C22⋊C8—471no—
1457C22⋊C8—471no—
1458C22⋊C8C22×D4711yescharacteristic
1459C22⋊C8C22×D4711yescharacteristic
1460C22⋊C8C22×D4711yescharacteristic
1461C22⋊C8C22×D4711yescharacteristic
1462#97—471no—
1463#97—471no—
1464C4×C8—471no—
1465C4×C8—471no—
1466C24—21no—
1467C24—21no—
1468C24—21no—
1469C24—471no—
1470C24—941no—
1471C24—941no—
1472C24—941no—
1473#41—22no—
1474#41—22no—
1475#41—22no—
1476#41—22no—
1477#41—41no—
1478#41—41no—
1479#41—41no—
1480#41—41no—
1481#41—44no—
1482#41—41no—
1483#41—41no—
1484#41—942no—
1485#41—942no—
1486#41—3762no—
1487#41—1881no—
1488#41—1881no—
1489#41—1884no—
1490#41—1881no—
1491#41—1881no—
1492#41—1881no—
1493#41—1881no—
1494#41—1884no—
1495C2×Q8—471no—
1496C2×Q8—941no—
1497C2×Q8—941no—
1498C2×Q8—942no—
1499C2×Q8—1881no—
1500C2×Q8D4×D4711yescharacteristic
1501C2×Q8C23×D4711yescharacteristic
1502C2×Q8C23×D4711yescharacteristic
1503C2×D4—21no—
1504C2×D4—22no—
1505C2×D4—22no—
1506C2×D4—21no—
1507C2×D4—21no—
1508C2×D4—21no—
1509C2×D4—21no—
1510C2×D4—21no—
1511C2×D4—21no—
1512C2×D4—21no—
1513C2×D4—21no—
1514C2×D4—41no—
1515C2×D4—41no—
1516C2×D4—41no—
1517C2×D4—41no—
1518C2×D4—44no—
1519C2×D4—44no—
1520C2×D4—44no—
1521C2×D4—471no—
1522C2×D4—471no—
1523C2×D4—471no—
1524C2×D4—471no—
1525C2×D4—471no—
1526C2×D4—471no—
1527C2×D4—471no—
1528C2×D4—941no—
1529C2×D4—941no—
1530C2×D4—941no—
1531C2×D4—941no—
1532C2×D4—941no—
1533C2×D4—941no—
1534C2×D4—941no—
1535C2×D4—941no—
1536C2×D4—941no—
1537C2×D4—941no—
1538C2×D4—941no—
1539C2×D4—941no—
1540C2×D4—942no—
1541C2×D4—941no—
1542C2×D4—941no—
1543C2×D4—941no—
1544C2×D4—941no—
1545C2×D4—941no—
1546C2×D4—941no—
1547C2×D4—941no—
1548C2×D4—941no—
1549C2×D4—941no—
1550C2×D4—941no—
1551C2×D4—941no—
1552C2×D4—941no—
1553C2×D4—941no—
1554C2×D4—941no—
1555C2×D4—3762no—
1556C2×D4—3762no—
1557C2×D4—3762no—
1558C2×D4—3762no—
1559C2×D4—3762no—
1560C2×D4—1881no—
1561C2×D4—1881no—
1562C2×D4—1881no—
1563C2×D4—1881no—
1564C2×D4—1881no—
1565C2×D4—1884no—
1566C2×D4D4×D4711yescharacteristic
1567C2×D4D4×D4711yescharacteristic
1568C2×D4D4×D4711yescharacteristic
1569C2×D4C23×D4711yescharacteristic
1570C2×D4C23×D4711yescharacteristic
1571C2×D4C23×D4711yescharacteristic
1572C2×D4C23×D4711yescharacteristic
1573C22×C4—21no—
1574C22×C4—21no—
1575C22×C4—21no—
1576C22×C4—21no—
1577C22×C4—21no—
1578C22×C4—471no—
1579C22×C4—471no—
1580C22×C4—471no—
1581C22×C4—471no—
1582C22×C4—471no—
1583C22×C4—941no—
1584C22×C4—941no—
1585C22×C4—941no—
1586C22×C4—941no—
1587C22×C4—941no—
1588C22×C4—941no—
1589C22×C4—941no—
1590C22×C4—941no—
1591C22×C4—941no—
1592C22×C4—941no—
1593C22×C4—941no—
1594C22×C4—941no—
1595C22×C4—1881no—
1596C22×C4—1881no—
1597C22×C4—1884no—
1598C22×C4C23×D4711yescharacteristic
1599C22×C4C23×D4711yescharacteristic
1600C22×C4C23×D4711yescharacteristic
1601Q16—22no—
1602Q16—1881no—
1603SD16—22no—
1604SD16—22no—
1605SD16—41no—
1606SD16—41no—
1607SD16—942no—
1608SD16—942no—
1609SD16—1881no—
1610SD16—1881no—
1611SD16—1881no—
1612SD16—1881no—
1613D8—22no—
1614D8—41no—
1615D8—41no—
1616D8—942no—
1617D8—942no—
1618D8—1881no—
1619D8—1881no—
1620D8—1881no—
1621D8—1881no—
1622D8—1881no—
1623D8—1881no—
1624D8—1881no—
1625M16—41no—
1626M16—1881no—
1627C2×C8—41no—
1628C2×C8—471no—
1629C2×C8—471no—
1630C2×C8—471no—
1631C2×C8—471no—
1632C2×C8—1881no—
1633C2×C8—1881no—
1634C2×C8—1881no—
1635C2×C8—1881no—
1636C2×C8—1881no—
1637C2×C8C23×D4711yescharacteristic
1638C2×C8C23×D4711yescharacteristic
1639C2×C8C23×D4711yescharacteristic
1640C2×C8C23×D4711yescharacteristic
1641C4⋊C4—21no—
1642C4⋊C4—21no—
1643C4⋊C4—21no—
1644C4⋊C4—471no—
1645C4⋊C4—471no—
1646C4⋊C4—471no—
1647C4⋊C4—471no—
1648C4⋊C4—471no—
1649C4⋊C4—471no—
1650C4⋊C4—471no—
1651C4⋊C4—471no—
1652C4⋊C4—471no—
1653C4⋊C4—471no—
1654C4⋊C4—941no—
1655C4⋊C4—941no—
1656C4⋊C4—941no—
1657C4⋊C4—941no—
1658C4⋊C4—941no—
1659C4⋊C4—941no—
1660C4⋊C4—941no—
1661C4⋊C4—941no—
1662C4⋊C4—941no—
1663C4⋊C4—941no—
1664C4⋊C4—941no—
1665C4⋊C4C23×D4711yescharacteristic
1666C4⋊C4C23×D4711yescharacteristic
1667C22⋊C4—21no—
1668C22⋊C4—21no—
1669C22⋊C4—21no—
1670C22⋊C4—21no—
1671C22⋊C4—471no—
1672C22⋊C4—471no—
1673C22⋊C4—471no—
1674C22⋊C4—471no—
1675C22⋊C4—471no—
1676C22⋊C4—471no—
1677C22⋊C4—471no—
1678C22⋊C4—471no—
1679C22⋊C4—471no—
1680C22⋊C4—471no—
1681C22⋊C4—941no—
1682C22⋊C4—941no—
1683C22⋊C4—941no—
1684C22⋊C4—941no—
1685C22⋊C4—941no—
1686C22⋊C4—941no—
1687C22⋊C4—941no—
1688C22⋊C4—941no—
1689C22⋊C4—941no—
1690C22⋊C4—941no—
1691C22⋊C4—941no—
1692C22⋊C4—941no—
1693C22⋊C4—941no—
1694C22⋊C4—941no—
1695C22⋊C4—941no—
1696C22⋊C4—941no—
1697C22⋊C4—941no—
1698C22⋊C4—941no—
1699C22⋊C4—941no—
1700C22⋊C4—941no—
1701C22⋊C4—941no—
1702C22⋊C4—941no—
1703C22⋊C4—941no—
1704C22⋊C4—941no—
1705C22⋊C4—941no—
1706C22⋊C4—941no—
1707C22⋊C4—941no—
1708C22⋊C4—941no—
1709C22⋊C4—941no—
1710C42—471no—
1711C42—471no—
1712C42—941no—
1713C42—941no—
1714C42—941no—
1715C42—941no—
1716C42—941no—
1717C23—21no—
1718C23—21no—
1719C23—21no—
1720C23—21no—
1721C23—42no—
1722C23—42no—
1723C23—42no—
1724C23—81no—
1725C23—81no—
1726C23—81no—
1727C23—81no—
1728C23—81no—
1729C23—81no—
1730C23—471no—
1731C23—471no—
1732C23—942no—
1733C23—941no—
1734C23—941no—
1735C23—941no—
1736C23—3761no—
1737C23—3761no—
1738C23—3761no—
1739C23—3761no—
1740C23—3761no—
1741C23—3761no—
1742C23—1881no—
1743C23—1881no—
1744C23—1882no—
1745C23—1882no—
1746C23—1882no—
1747C23C2×D4×D4711yescharacteristic
1748C23C2×D4×D4711yescharacteristic
1749C23C2×D4×D4711yescharacteristic
1750Q8—21no—
1751Q8—21no—
1752Q8—21no—
1753Q8—41no—
1754Q8—941no—
1755Q8—941no—
1756Q8—3761no—
1757Q8—1882no—
1758Q8#1309406912yes—
1759D4—24no—
1760D4—21no—
1761D4—21no—
1762D4—21no—
1763D4—21no—
1764D4—21no—
1765D4—21no—
1766D4—21no—
1767D4—41no—
1768D4—41no—
1769D4—41no—
1770D4—42no—
1771D4—42no—
1772D4—42no—
1773D4—42no—
1774D4—42no—
1775D4—81no—
1776D4—81no—
1777D4—81no—
1778D4—942no—
1779D4—942no—
1780D4—941no—
1781D4—941no—
1782D4—941no—
1783D4—941no—
1784D4—941no—
1785D4—941no—
1786D4—3761no—
1787D4—3761no—
1788D4—3761no—
1789D4—3761no—
1790D4—3761no—
1791D4—3761no—
1792D4—3761no—
1793D4—3761no—
1794D4—3761no—
1795D4—3761no—
1796D4—3761no—
1797D4—3761no—
1798D4—3761no—
1799D4—3761no—
1800D4—3761no—
1801D4—3761no—
1802D4—3761no—
1803D4—3761no—
1804D4—3761no—
1805D4—1882no—
1806D4—1882no—
1807D4—1881no—
1808D4—1881no—
1809D4—1882no—
1810D4—1882no—
1811D4—1882no—
1812D4—1882no—
1813D4—1882no—
1814D4#1309406912yes—
1815C2×C4—24no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—21no—
1823C2×C4—21no—
1824C2×C4—21no—
1825C2×C4—21no—
1826C2×C4—42no—
1827C2×C4—42no—
1828C2×C4—81no—
1829C2×C4—81no—
1830C2×C4—471no—
1831C2×C4—471no—
1832C2×C4—471no—
1833C2×C4—471no—
1834C2×C4—471no—
1835C2×C4—471no—
1836C2×C4—941no—
1837C2×C4—941no—
1838C2×C4—941no—
1839C2×C4—941no—
1840C2×C4—941no—
1841C2×C4—941no—
1842C2×C4—941no—
1843C2×C4—941no—
1844C2×C4—941no—
1845C2×C4—3761no—
1846C2×C4—3761no—
1847C2×C4—3761no—
1848C2×C4—3761no—
1849C2×C4—3761no—
1850C2×C4—3761no—
1851C2×C4—3761no—
1852C2×C4—1881no—
1853C2×C4—1881no—
1854C2×C4—1882no—
1855C2×C4—1882no—
1856C2×C4—1882no—
1857C2×C4—1882no—
1858C2×C4—1881no—
1859C2×C4—1882no—
1860C2×C4C2×D4×D4711yescharacteristic
1861C2×C4C2×D4×D4711yescharacteristic
1862C2×C4C2×D4×D4711yescharacteristic
1863C2×C4C24×D4711yescharacteristic
1864C8—21no—
1865C8—21no—
1866C8—21no—
1867C8—21no—
1868C8—941no—
1869C8—941no—
1870C8—941no—
1871C8—941no—
1872C22—21no—
1873C22—21no—
1874C22—21no—
1875C22—21no—
1876C22—21no—
1877C22—21no—
1878C22—21no—
1879C22—22no—
1880C22—21no—
1881C22—21no—
1882C22—41no—
1883C22—41no—
1884C22—41no—
1885C22—41no—
1886C22—41no—
1887C22—41no—
1888C22—41no—
1889C22—41no—
1890C22—41no—
1891C22—41no—
1892C22—41no—
1893C22—162no—
1894C22—162no—
1895C22—162no—
1896C22—472no—
1897C22—941no—
1898C22—941no—
1899C22—941no—
1900C22—941no—
1901C22—941no—
1902C22—3764no—
1903C22—3762no—
1904C22—1881no—
1905C22—1881no—
1906C22—1881no—
1907C22—1881no—
1908C22—1881no—
1909C22—1881no—
1910C22—1881no—
1911C22—1881no—
1912C22—1881no—
1913C22—7522no—
1914C22—7522no—
1915C22C22×D4×D4711yescharacteristic
1916C4—21no—
1917C4—22no—
1918C4—21no—
1919C4—21no—
1920C4—41no—
1921C4—41no—
1922C4—41no—
1923C4—941no—
1924C4—941no—
1925C4—941no—
1926C4—941no—
1927C4—941no—
1928C4—941no—
1929C4—1881no—
1930C4—1881no—
1931C4—1881no—
1932C4—1881no—
1933C4—1881no—
1934C4C2×#1309406911yescharacteristic
1935C4C2×#1309406911yescharacteristic
1936C2—41no—
1937C2—41no—
1938C2—41no—
1939C2—42no—
1940C2—81no—
1941C2—81no—
1942C2—81no—
1943C2—942no—
1944C2—3761no—
1945C2—3761no—
1946C2—3761no—
1947C2—1881no—
1948C2#2025701711yescharacteristic
1949C2#576×D4711yescharacteristic
1950C2#2025816011yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3012C2
socleC22×C47C23×D4
hypercenter#3012D47
hypocenterC47#61639
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C2×#41 ◁ #3012

Complements

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

NH ≅ G/Ntype
1. #20257692C2semidirect
2. #20257050C2semidirect
3. #20255537C2semidirect
4. #20255402C2semidirect
5. #20255395C2semidirect
6. #20255380C2semidirect
7. #20255331C2semidirect
8. #20255268C2semidirect
9. #20255234C2semidirect
10. #20255197C2semidirect
11. #20255142C2semidirect
12. #20255089C2semidirect
13. #20255066C2semidirect
14. #20255058C2semidirect
15. #20254931C2semidirect
16. #20254922C2semidirect
17. #20254886C2semidirect
18. #20254862C2semidirect
19. #20254486C2semidirect
20. #20254434C2semidirect
21. #20254285C2semidirect
22. #20254242C2semidirect
23. #20254156C2semidirect
24. #20254137C2semidirect
25. #20253651C2semidirect
26. #20253588C2semidirect
27. #20252656C2semidirect
28. #20252609C2semidirect
29. #449×D47C2semidirect
30. #20252440C2semidirect
31. C47×#3012C2semidirect
32. C2×#41×D47C22semidirect
33. C2×#13094049C22semidirect
34. C2×#13094047C22semidirect
35. C2×#13094045C22semidirect
36. C2×SD16×D47C22semidirect
37. C22×#10625334C22semidirect
38. C2×D8×D47C22semidirect
41. #15689837C22semidirect
42. #15689821C22semidirect
43. #15689807C22semidirect
45. #15689792C22semidirect
46. #15689792C22semidirect
47. #15689792C22semidirect
49. #15689780C22semidirect
50. #15689774C22semidirect
54. #15689767C22semidirect
55. #15689767C22semidirect
56. #15689764C22semidirect
57. #15689761C22semidirect
58. #15689757C22semidirect
62. D4×C22⋊D47C22semidirect
63. #15689746C22semidirect
64. #15689726C22semidirect
68. #15689701C22semidirect
70. #15689690C22semidirect
72. #15689687C22semidirect
74. #15689636C22semidirect
78. C2×#13093995C22semidirect
79. #121×D47C22semidirect
80. #15689606C22semidirect
81. #15689511C22semidirect
82. #15689509C22semidirect
83. #15689504C22semidirect
84. #15689498C22semidirect
85. #15689486C22semidirect
86. #15689481C22semidirect
87. #15689476C22semidirect
88. #15689468C22semidirect
89. #15689465C22semidirect
90. #15689458C22semidirect
91. #15689456C22semidirect
92. #15689448C22semidirect
93. #15689446C22semidirect
94. #15689446C22semidirect
95. #15689442C22semidirect
96. #15689437C22semidirect
97. #15689436C22semidirect
98. #15689435C22semidirect
99. #15689435C22semidirect
100. #15689434C22semidirect
101. #15689428C22semidirect
102. #15689425C22semidirect
103. #15689416C22semidirect
104. #15689401C22semidirect
105. #15689376C22semidirect
106. #15689371C22semidirect
107. #15689369C22semidirect
108. #15689367C22semidirect
109. #15689362C22semidirect
110. #15689359C22semidirect
111. #15689358C22semidirect
112. #15689358C22semidirect
113. #15689358C22semidirect
114. #15689358C22semidirect
115. #15689357C22semidirect
116. #15689356C22semidirect
117. #15689356C22semidirect
118. #15689352C22semidirect
119. #15689349C22semidirect
120. #15689349C22semidirect
121. #15689347C22semidirect
122. #15689343C22semidirect
123. #15689340C22semidirect
124. #15689337C22semidirect
125. #15689337C22semidirect
126. #15689336C22semidirect
127. #15689321C22semidirect
128. #15689321C22semidirect
129. #15689317C22semidirect
130. #15689317C22semidirect
131. #15689316C22semidirect
132. #15689316C22semidirect
133. #15689285C22semidirect
134. #15689283C22semidirect
135. #15689277C22semidirect
136. #15689276C22semidirect
137. #15689272C22semidirect
138. #15689271C22semidirect
139. #15689270C22semidirect
140. #15689270C22semidirect
141. #15689269C22semidirect
143. #15689268C22semidirect
144. #15689268C22semidirect
145. #15689268C22semidirect
146. #15689268C22semidirect
147. #15689267C22semidirect
148. #15689267C22semidirect
149. #15689267C22semidirect
150. #15689266C22semidirect
151. #15689265C22semidirect
152. #15689263C22semidirect
153. #15689259C22semidirect
154. #15689258C22semidirect
155. #15689257C22semidirect
156. #15689257C22semidirect
157. #15689257C22semidirect
158. #15689257C22semidirect
159. #15689255C22semidirect
160. #15689255C22semidirect
161. #15689235C22semidirect
162. #15689226C22semidirect
163. #15689226C22semidirect
164. #15689224C22semidirect
165. Q16×Dic47C22semidirect
166. SD16×Dic47C22semidirect
167. #15689203C22semidirect
168. #15689203C22semidirect
169. #15689197C22semidirect
170. #15689197C22semidirect
171. #15689192C22semidirect
172. #15689192C22semidirect
173. C8×C22⋊D47C22semidirect
174. C8×C22⋊D47C22semidirect
175. (C22⋊D47)⋊C8C22semidirect
176. (C22⋊D47)⋊C8C22semidirect
177. #15689181C22semidirect
178. #15689181C22semidirect
179. #15689128C22semidirect
180. #15689119C22semidirect
181. #15689118C22semidirect
182. #15689116C22semidirect
183. #103×D47C22semidirect
184. #102×D47C22semidirect
185. #15689090C22semidirect
186. C22⋊C8×D47C22semidirect
187. C22⋊C8×D47C22semidirect
188. C2×H(5,𝔽2)×C47C22semidirect
189. C2×AGL(1,ℤ/8)×C47C22semidirect
190. C2×#135×C47C22semidirect
191. C47×#537C22semidirect
192. C47×#452C22semidirect
193. C47×#452C22semidirect
194. C47×#450C22semidirect
195. C47×#450C22semidirect
196. C47×#449C22semidirect
197. C47×#449C22semidirect
198. C47×#447C22semidirect
199. C47×#447C22semidirect
200. C47×#417C22semidirect
201. C2×#102×C47C22semidirect
202. C47×#408C22semidirect
987. #3012D47semidirect
1007. C2×H(5,𝔽2)C2×D47semidirect
1010. C2×AGL(1,ℤ/8)C2×D47semidirect
1013. C2×#135C2×D47semidirect
1047. #537C2×D47semidirect
1114. #452C2×D47semidirect
1115. #452C2×D47semidirect
1119. #450C2×D47semidirect
1120. #450C2×D47semidirect
1135. #449C2×D47semidirect
1136. #449C2×D47semidirect
1146. #447C2×D47semidirect
1147. #447C2×D47semidirect
1167. #417C2×D47semidirect
1173. C2×#102C2×D47semidirect
1175. #408C2×D47semidirect
1178. C47#61639semidirect

Maximal subgroups

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

subgroupindex
#202576922
#202570502
#202555372
#202554022
#202553952
#202553802
#202553312
#202552682
#202552342
#202551972
#202551422
#202550892
#202550662
#202550582
#202549312
#202549222
#202548862
#202548622
#202544862
#202544342
#202542852
#202542422
#202541562
#202541372
#202536512
#202535882
#202526562
#202526092
#449×D472
#202524402
C47×#30122
#6163947