Finite Group Databasebeta

← #27103315

Subgroups — #27103315

Order 12032.

2224 conjugacy classes of subgroups.

The subgroup lattice has 1986 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257791C211yesmaximal, characteristic, complemented
2#20257147C211yesmaximal, characteristic, complemented
3#20255626C211yesmaximal, characteristic, complemented
4#20255623C211yesmaximal, characteristic, complemented
5#20255548C211yesmaximal, characteristic, complemented
6#20255545C211yesmaximal, characteristic, complemented
7#20255540C211yesmaximal, characteristic, complemented
8#20255537C211yesmaximal, characteristic, complemented
9#20255312C211yesmaximal, characteristic, complemented
10#20255309C211yesmaximal, characteristic, complemented
11D8×C22⋊D47C211yesmaximal, characteristic, complemented
12#20255058C211yesmaximal, characteristic, complemented
13#20254982C211yesmaximal, characteristic, complemented
14#20254981C211yesmaximal, characteristic, complemented
15#20254871C211yesmaximal, characteristic, complemented
16#20254868C211yesmaximal, characteristic, complemented
17#20254862C211yesmaximal, characteristic, complemented
18#20254861C211yesmaximal, characteristic, complemented
19#20254380C211yesmaximal, characteristic, complemented
20#20254319C211yesmaximal, characteristic, complemented
21#20254242C211yesmaximal, characteristic, complemented
22#20254240C211yesmaximal, characteristic, complemented
23#20254239C211yesmaximal, characteristic, complemented
24#20254237C211yesmaximal, characteristic, complemented
25#20253474C211yesmaximal, characteristic, complemented
26#20253383C211yesmaximal, characteristic, complemented
27#20252656C211yesmaximal, characteristic, complemented
28#20252651C211yesmaximal, characteristic, complemented
29#20252651C211yesmaximal, characteristic, complemented
30#20252461C211yesmaximal, characteristic, complemented
31C47×#3008C211yesmaximal, characteristic, complemented
32C2×#13094069C2211yescharacteristic, complemented
33C2×#13094049C2211yescharacteristic, complemented
34C2×#13094048C2211yescharacteristic, complemented
35C2×#13094048C2211yescharacteristic, complemented
36C22×#10625334C2211yescharacteristic, complemented
37C2×D8×D47C2211yescharacteristic, complemented
38C2×D8×D47C2211yescharacteristic, complemented
39#15689866—21no—
40#15689865—21no—
41#15689837C2211yescharacteristic, complemented
42#15689837C2211yescharacteristic, complemented
43#15689836C2211yescharacteristic, complemented
44#15689836C2211yescharacteristic, complemented
45#15689835—21no—
46#15689772—21no—
47#15689772C2211yescharacteristic, complemented
48#15689772C2211yescharacteristic, complemented
49#15689767—21no—
50#15689767C2211yescharacteristic, complemented
51#15689767C2211yescharacteristic, complemented
52#15689761—21no—
53#15689761C2211yescharacteristic, complemented
54#15689761C2211yescharacteristic, complemented
55#15689757C2211yescharacteristic, complemented
56#15689757C2211yescharacteristic, complemented
57D4×C22⋊D47—21no—
58D4×C22⋊D47C2211yescharacteristic, complemented
59D4×C22⋊D47C2211yescharacteristic, complemented
60D4×C22⋊D47C2211yescharacteristic, complemented
61D4×C22⋊D47C2211yescharacteristic, complemented
62#15689755—21no—
63#15689701C2211yescharacteristic, complemented
64#15689701C2211yescharacteristic, complemented
65#15689689C2211yescharacteristic, complemented
66#15689689C2211yescharacteristic, complemented
67#15689688—21no—
68#15689688—21no—
69#15689687C2211yescharacteristic, complemented
70#15689686—21no—
71#15689686—21no—
72#15689682—21no—
73#15689682—21no—
74#15689669C2211yescharacteristic
75#15689669C2211yescharacteristic, complemented
76#15689668C2211yescharacteristic, complemented
77#15689668C2211yescharacteristic, complemented
78C2×#13093996—21no—
79C2×#13093996—21no—
80C2×D4×Dic47C2211yescharacteristic, complemented
81#15689511C2211yescharacteristic, complemented
82#15689509C2211yescharacteristic, complemented
83#15689498C2211yescharacteristic, complemented
84#15689494C2211yescharacteristic, complemented
85#15689484C2211yescharacteristic, complemented
86#15689481C2211yescharacteristic, complemented
87#15689472C2211yescharacteristic, complemented
88#15689468C2211yescharacteristic, complemented
89#15689465C2211yescharacteristic, complemented
90#15689464C2211yescharacteristic, complemented
91#15689463C2211yescharacteristic, complemented
92#15689462C2211yescharacteristic, complemented
93#15689448C2211yescharacteristic, complemented
94#15689447C2211yescharacteristic, complemented
95#15689446C2211yescharacteristic, complemented
96#15689445C2211yescharacteristic, complemented
97#15689442C2211yescharacteristic, complemented
98#15689439C2211yescharacteristic, complemented
99#15689437C2211yescharacteristic, complemented
100#15689434C2211yescharacteristic, complemented
101#15689411C2211yescharacteristic, complemented
102#15689411C2211yescharacteristic, complemented
103#15689401C2211yescharacteristic, complemented
104#15689401C2211yescharacteristic, complemented
105#15689376C2211yescharacteristic, complemented
106#15689375C2211yescharacteristic, complemented
107#15689374C2211yescharacteristic, complemented
108#15689373C2211yescharacteristic, complemented
109#15689372C2211yescharacteristic, complemented
110#15689369C2211yescharacteristic, complemented
111#15689367C2211yescharacteristic, complemented
112#15689366C2211yescharacteristic, complemented
113#15689359C2211yescharacteristic, complemented
114#15689358C2211yescharacteristic, complemented
115#15689357C2211yescharacteristic, complemented
116#15689356C2211yescharacteristic, complemented
117#15689355C2211yescharacteristic, complemented
118#15689352C2211yescharacteristic, complemented
119#15689350C2211yescharacteristic, complemented
120#15689349C2211yescharacteristic, complemented
121#15689341C2211yescharacteristic, complemented
122#15689340C2211yescharacteristic, complemented
123#15689337C2211yescharacteristic, complemented
124#15689336C2211yescharacteristic, complemented
125#15689327C2211yescharacteristic, complemented
126#15689326C2211yescharacteristic, complemented
127#15689317C2211yescharacteristic, complemented
128#15689316C2211yescharacteristic, complemented
129#15689316C2211yescharacteristic, complemented
130#15689316C2211yescharacteristic, complemented
131#15689316C2211yescharacteristic, complemented
132#15689316C2211yescharacteristic, complemented
133#15689276C2211yescharacteristic, complemented
134#15689274C2211yescharacteristic, complemented
135#15689272C2211yescharacteristic, complemented
136#15689272C2211yescharacteristic, complemented
137#15689270C2211yescharacteristic, complemented
138#15689270C2211yescharacteristic, complemented
139#15689269C2211yescharacteristic, complemented
140#15689269C2211yescharacteristic, complemented
141#15689268C2211yescharacteristic, complemented
142#15689268C2211yescharacteristic, complemented
143#15689268C2211yescharacteristic, complemented
144#15689268C2211yescharacteristic, complemented
145#15689266C2211yescharacteristic, complemented
146#15689266C2211yescharacteristic, complemented
147#15689265C2211yescharacteristic, complemented
148#15689265C2211yescharacteristic, complemented
149#15689259C2211yescharacteristic, complemented
150#15689258C2211yescharacteristic, complemented
151#15689258C2211yescharacteristic, complemented
152#15689257C2211yescharacteristic, complemented
153#15689257C2211yescharacteristic, complemented
154#15689257C2211yescharacteristic, complemented
155#15689257C2211yescharacteristic, complemented
156#15689257C2211yescharacteristic, complemented
157#15689255C2211yescharacteristic, complemented
158#15689255C2211yescharacteristic, complemented
159#15689255C2211yescharacteristic, complemented
160#15689255C2211yescharacteristic, complemented
161#15689235C2211yescharacteristic, complemented
162#15689235C2211yescharacteristic, complemented
163#15689232C2211yescharacteristic, complemented
164#15689232C2211yescharacteristic, complemented
165D8×Dic47C2211yescharacteristic, complemented
166D8×Dic47C2211yescharacteristic, complemented
167#15689203C2211yescharacteristic, complemented
168#15689203C2211yescharacteristic, complemented
169#15689199C2211yescharacteristic, complemented
170#15689198C2211yescharacteristic, complemented
171#15689197C2211yescharacteristic, complemented
172#15689194C2211yescharacteristic, complemented
173#15689192C2211yescharacteristic, complemented
174#15689191C2211yescharacteristic, complemented
175C8×C22⋊D47C2211yescharacteristic, complemented
176(C22⋊D47)⋊C8C2211yescharacteristic, complemented
177#15689177C2211yescharacteristic, complemented
178#15689173C2211yescharacteristic, complemented
179#15689128C2211yescharacteristic, complemented
180#15689126C2211yescharacteristic, complemented
181#15689126C2211yescharacteristic, complemented
182#15689119C2211yescharacteristic, complemented
183#15689116C2211yescharacteristic, complemented
184#15689116C2211yescharacteristic, complemented
185#15689090C2211yescharacteristic, complemented
186#15689088C2211yescharacteristic, complemented
187#15689088C2211yescharacteristic, complemented
188C2×H(5,𝔽2)×C47C2211yescharacteristic, complemented
189C2×AGL(1,ℤ/8)×C47C2211yescharacteristic, complemented
190C22×D8×C47C2211yescharacteristic, complemented
191C47×#535C2211yescharacteristic, complemented
192C47×#449C2211yescharacteristic, complemented
193C47×#449C2211yescharacteristic, complemented
194C47×#449C2211yescharacteristic, complemented
195C47×#449C2211yescharacteristic, complemented
196C47×#447C2211yescharacteristic, complemented
197C47×#447C2211yescharacteristic, complemented
198C47×#447C2211yescharacteristic, complemented
199C47×#447C2211yescharacteristic, complemented
200C47×#418C2211yescharacteristic, complemented
201C47×#416C2211yescharacteristic, complemented
202C47×#408C2211yescharacteristic, complemented
203#13094069—42no—
204#13094069—42no—
205C2×#10625350C2311yescharacteristic
206C2×#10625350C2311yescharacteristic
207C2×#10625352—21no—
208C2×#10625352—21no—
209C2×#10625352—21no—
210C2×#10625352C2311yescharacteristic
211C2×#10625352C2311yescharacteristic
212C22×D188C2311yescharacteristic
213C22×C22⋊D47—21no—
214C22×C22⋊D47—21no—
215C22×C22⋊D47—21no—
216C22×C22⋊D47—21no—
217C22×C22⋊D47—21no—
218C22×C22⋊D47—21no—
219C2×D4×D47—21no—
220C2×D4×D47—21no—
221C2×D4×D47—21no—
222C2×D4×D47C2311yescharacteristic
223C2×D4×D47C2311yescharacteristic
224C2×D4×D47C2311yescharacteristic
225C2×D4×D47C2311yescharacteristic
226C23×Dic47—21no—
227#13094049—42no—
228#13094048—42no—
229#13094048—42no—
230C2×#10625325C2311yescharacteristic
231C2×#10625325C2311yescharacteristic
232C2×#10625335C2311yescharacteristic
233C2×#10625335C2311yescharacteristic
234C2×#10625336C2311yescharacteristic
235C2×#10625336C2311yescharacteristic
236C2×D376C2311yescharacteristic
237C2×D376C2311yescharacteristic
238C2×#10625334—42no—
239C2×#10625334C2311yescharacteristic
240C2×#10625334C2311yescharacteristic
241C2×#10625334C2311yescharacteristic
242C2×#10625334C2311yescharacteristic
243C2×#10625334C2311yescharacteristic
244C2×#10625334C2311yescharacteristic
245C2×#10625334C2311yescharacteristic
246C2×#10625334C2311yescharacteristic
247D8×D47—42no—
248D8×D47—42no—
249C2×#10625329C2311yescharacteristic
250C2×#10625324C2311yescharacteristic
251C2×#10625324C2311yescharacteristic
252C22×C47⋊C8C2311yescharacteristic
253C2×C8×D47C2311yescharacteristic
254C2×C8×D47C2311yescharacteristic
255#13094023C2311yescharacteristic
256#13094023C2311yescharacteristic
257#13094022D411yescharacteristic
258#13094022C2311yescharacteristic
259#13094020—21no—
260#13094020—21no—
261#13094020—21no—
262#13094020D411yescharacteristic
263#13094020C2311yescharacteristic
264#13094020C2311yescharacteristic
265#13094020C2311yescharacteristic
266#13094013—21no—
267#13094013D411yescharacteristic
268#13094013C2311yescharacteristic
269#13094012—21no—
270#13094012—21no—
271#13094011—21no—
272#13094011—21no—
273#13094011D411yescharacteristic
274#13094011C2311yescharacteristic
275#13094010—21no—
276#13094010—21no—
277#13094010—21no—
278#13094010—21no—
279#13094010—21no—
280#13094010—21no—
281#13094010—21no—
282#13094010—21no—
283#13094007—21no—
284#13094007—21no—
285#13094007—21no—
286#13094007—21no—
287#13094005—21no—
288#13094005—21no—
289#13094005—21no—
290#13094005—21no—
291#13094003—21no—
292#13094003C2311yescharacteristic
293#13094003C2311yescharacteristic
294#13094000—21no—
295#13094000C2311yescharacteristic
296#13094000C2311yescharacteristic
297#13093999C2311yescharacteristic
298#13093999C2311yescharacteristic
299#13093998—21no—
300#13093998C2311yescharacteristic
301#13093998C2311yescharacteristic
302#13093998C2311yescharacteristic
303#13093998C2311yescharacteristic
304#13093998C2311yescharacteristic
305#13093998C2311yescharacteristic
306#13093997—21no—
307#13093997—21no—
308#13093997—21no—
309#13093997—21no—
310#13093996—21no—
311#13093996—21no—
312#13093996—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#13093996—21no—
324#13093996—21no—
325#13093996—21no—
326#13093996—21no—
327#13093996—21no—
328#13093996—21no—
329#13093996—21no—
330#13093996D411yescharacteristic
331#13093996D411yescharacteristic
332#13093996D411yescharacteristic
333#13093996D411yescharacteristic
334#13093995—21no—
335#13093995C2311yescharacteristic
336#13093995C2311yescharacteristic
337#13093995C2311yescharacteristic
338#13093995C2311yescharacteristic
339#13093994—21no—
340#13093994—21no—
341#13093994—21no—
342#13093994—21no—
343#13093993—21no—
344#13093993—21no—
345#13093993—21no—
346#13093993—21no—
347#13093993—21no—
348#13093993—21no—
349#13093992—21no—
350#13093992—21no—
351#13093992—21no—
352#13093992—21no—
353#13093992—21no—
354#13093992—21no—
355#13093992—21no—
356#13093992—21no—
357#13093992—21no—
358#13093992—21no—
359#13093992—21no—
360#13093992—21no—
361D4×Dic47—21no—
362D4×Dic47—21no—
363D4×Dic47C2311yescharacteristic
364D4×Dic47C2311yescharacteristic
365D4×Dic47C2311yescharacteristic
366D4×Dic47C2311yescharacteristic
367D4×Dic47C2311yescharacteristic
368D4×Dic47C2311yescharacteristic
369#13093986C2311yescharacteristic
370#13093986C2311yescharacteristic
371C4×C22⋊D47—21no—
372C4×C22⋊D47—21no—
373C4×C22⋊D47C2311yescharacteristic
374C4×C22⋊D47C2311yescharacteristic
375C4×C22⋊D47C2311yescharacteristic
376C4×C22⋊D47C2311yescharacteristic
377(C22⋊D47)⋊C4—21no—
378(C22⋊D47)⋊C4—21no—
379#13093983C2311yescharacteristic
380#13093982C2311yescharacteristic
381#13093982C2311yescharacteristic
382#13093981—21no—
383#13093981—21no—
384#13093980—21no—
385#13093980—21no—
386C2×C4⋊Dic47C2311yescharacteristic
387C2×Dic47⋊C4—21no—
388C2×Dic47⋊C4—21no—
389C2×C22⋊Dic47—21no—
390C2×C22⋊Dic47—21no—
391C2×C22⋊Dic47—21no—
392C2×(C2×D47)⋊C4—21no—
393C2×(C2×D47)⋊C4—21no—
394C2×C4×Dic47C2311yescharacteristic
395#13093958C2311yescharacteristic
396#13093958C2311yescharacteristic
397#13093957C2311yescharacteristic
398#13093957C2311yescharacteristic
399#13093956C2311yescharacteristic
400#13093956C2311yescharacteristic
401#13093955C2311yescharacteristic
402#13093955C2311yescharacteristic
403Dic47⋊C8C2311yescharacteristic
404Dic47⋊C8C2311yescharacteristic
405Dic47⋊C8C2311yescharacteristic
406Dic47⋊C8C2311yescharacteristic
407#13093949C2311yescharacteristic
408#13093949C2311yescharacteristic
409#13093948C2311yescharacteristic
410#13093948C2311yescharacteristic
411#13093947C2311yescharacteristic
412#13093947C2311yescharacteristic
413#13093946C2311yescharacteristic
414#13093946C2311yescharacteristic
415#13093946C2311yescharacteristic
416#13093946C2311yescharacteristic
417#13093946C2311yescharacteristic
418#13093946C2311yescharacteristic
419#13093945C2311yescharacteristic
420#13093945C2311yescharacteristic
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
450C22×D4×C47—21no—
451C22×D4×C47—21no—
452C22×D4×C47—21no—
453C22×D4×C47C2311yescharacteristic
454C22×D4×C47C2311yescharacteristic
455C22×D4×C47C2311yescharacteristic
456C22×D4×C47C2311yescharacteristic
457AGL(1,ℤ/8)×C47—42no—
458C2×SD16×C47C2311yescharacteristic
459C2×SD16×C47C2311yescharacteristic
460C2×D8×C47—42no—
461C2×D8×C47C2311yescharacteristic
462C2×D8×C47C2311yescharacteristic
463C2×D8×C47C2311yescharacteristic
464C2×D8×C47C2311yescharacteristic
465C2×D8×C47C2311yescharacteristic
466C2×D8×C47C2311yescharacteristic
467C2×M16×C47C2311yescharacteristic
468C22×C8×C47C2311yescharacteristic
469#127×C47—21no—
470#124×C47—21no—
471#121×C47C2311yescharacteristic
472#121×C47C2311yescharacteristic
473#121×C47C2311yescharacteristic
474#121×C47C2311yescharacteristic
475#120×C47—21no—
476#120×C47—21no—
477#117×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—
493C24×C47—21no—
494C23×D47—21no—
495C23×D47—21no—
496C23×D47—21no—
497C23×D47—21no—
498C23×D47—21no—
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—41no—
506#41×C47—41no—
507#41×C47—44no—
508C2×Q8×C47C2×D411yescharacteristic
509C2×Q8×C47C2411yescharacteristic
510C2×D4×C47—22no—
511C2×D4×C47—22no—
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—21no—
523C2×D4×C47—21no—
524C2×D4×C47—21no—
525C2×D4×C47—41no—
526C2×D4×C47—41no—
527C2×D4×C47—41no—
528C2×D4×C47—41no—
529C2×D4×C47—44no—
530C2×D4×C47—44no—
531C2×D4×C47—44no—
532C2×D4×C47C2×D411yescharacteristic
533C2×D4×C47C2×D411yescharacteristic
534C2×D4×C47C2×D411yescharacteristic
535C2×D4×C47C2411yescharacteristic
536C2×D4×C47C2411yescharacteristic
537C2×D4×C47C2411yescharacteristic
538C2×D4×C47C2411yescharacteristic
539C2×D4×C47C2411yescharacteristic
540C22×C4×C47—21no—
541C22×C4×C47—21no—
542C22×C4×C47—21no—
543C22×C4×C47C2411yescharacteristic
544C22×C4×C47C2411yescharacteristic
545C22×C4×C47C2411yescharacteristic
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—21no—
566C2×C22⋊D47—21no—
567C2×C22⋊D47—21no—
568C2×C22⋊D47—21no—
569C2×C22⋊D47—44no—
570C2×C22⋊D47—44no—
571C2×C22⋊D47—82no—
572C2×C22⋊D47—82no—
573C2×C22⋊D47—82no—
574C2×C22⋊D47—82no—
575C2×C22⋊D47C2×D411yescharacteristic
576C2×C22⋊D47C2×D411yescharacteristic
577C2×C22⋊D47C2×D411yescharacteristic
578C2×C22⋊D47C2×D411yescharacteristic
579C2×C22⋊D47C2×D411yescharacteristic
580C2×C22⋊D47C2×D411yescharacteristic
581C22×Dic47—21no—
582C22×Dic47—21no—
583C22×Dic47—21no—
584C22×Dic47—21no—
585C22×Dic47—21no—
586C22×Dic47—21no—
587C22×Dic47—21no—
588C22×Dic47—21no—
589C22×Dic47—21no—
590C22×Dic47—82no—
591C22×Dic47C2×D411yescharacteristic
592C22×Dic47C2×D411yescharacteristic
593#10625352—22no—
594#10625352—22no—
595#10625352—41no—
596#10625352—41no—
597#10625352—44no—
598#10625352—82no—
599#10625352—82no—
600D4×D47—22no—
601D4×D47—22no—
602D4×D47—41no—
603D4×D47—41no—
604D4×D47—41no—
605D4×D47—41no—
606D4×D47—41no—
607D4×D47—41no—
608D4×D47—44no—
609D4×D47—82no—
610D4×D47—82no—
611#10625350—41no—
612#10625350—41no—
613#10625350—41no—
614#10625350—41no—
615C2×D188—21no—
616C2×D188—21no—
617C2×D188—21no—
618C2×D188—41no—
619C2×D188—41no—
620C2×D188C2×D411yescharacteristic
621C2×D188C2411yescharacteristic
622C2×D188C2411yescharacteristic
623C2×D188C2411yescharacteristic
624C2×C4×D47—21no—
625C2×C4×D47—21no—
626C2×C4×D47—21no—
627C2×C4×D47C2411yescharacteristic
628C2×C4×D47C2411yescharacteristic
629C2×Dic94—21no—
630C2×Dic94—21no—
631C2×Dic94C2×D411yescharacteristic
632C2×Dic94C2411yescharacteristic
633SD16×C47—41no—
634SD16×C47—41no—
635D8×C47—22no—
636D8×C47—22no—
637D8×C47—22no—
638D8×C47—22no—
639D8×C47—41no—
640D8×C47—41no—
641M16×C47—41no—
642C2×C8×C47—41no—
643C2×C8×C47C2411yescharacteristic
644C2×C8×C47C2411yescharacteristic
645C2×C8×C47C2411yescharacteristic
646C2×C8×C47C2411yescharacteristic
647C4⋊C4×C47C2411yescharacteristic
648C4⋊C4×C47C2411yescharacteristic
649C22⋊C4×C47—21no—
650C22⋊C4×C47—21no—
651C22⋊C4×C47—21no—
652C22⋊C4×C47—21no—
653C22⋊C4×C47—21no—
654C42×C47—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⋊Dic47—21no—
664C22⋊Dic47—21no—
665C22⋊Dic47—21no—
666C22⋊Dic47—21no—
667C22⋊Dic47—21no—
668C22⋊Dic47—21no—
669C22⋊Dic47—21no—
670C22⋊Dic47C2×D411yescharacteristic
671C22⋊Dic47C2×D411yescharacteristic
672C22⋊Dic47C2×D411yescharacteristic
673C22⋊Dic47C2×D411yescharacteristic
674#10625336—41no—
675#10625336—41no—
676#10625335—41no—
677#10625335—41no—
678#10625334—22no—
679#10625334—22no—
680#10625334—22no—
681#10625334—22no—
682#10625334—41no—
683#10625334—41no—
684#10625334—41no—
685#10625334—41no—
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)⋊C4—21no—
696(C2×D47)⋊C4—21no—
697(C2×D47)⋊C4—21no—
698(C2×D47)⋊C4—21no—
699(C2×D47)⋊C4—21no—
700(C2×D47)⋊C4—21no—
701(C2×D47)⋊C4—21no—
702(C2×D47)⋊C4C2×D411yescharacteristic
703(C2×D47)⋊C4C2×D411yescharacteristic
704(C2×D47)⋊C4C2×D411yescharacteristic
705(C2×D47)⋊C4C2×D411yescharacteristic
706C4⋊Dic47—21no—
707C4⋊Dic47C2411yescharacteristic
708C4⋊Dic47C2411yescharacteristic
709C4⋊Dic47C2411yescharacteristic
710C4⋊Dic47C2411yescharacteristic
711Dic47⋊C4—21no—
712Dic47⋊C4—21no—
713Dic47⋊C4—21no—
714Dic47⋊C4—21no—
715Dic47⋊C4—21no—
716Dic47⋊C4—21no—
717Dic47⋊C4—21no—
718Dic47⋊C4—21no—
719Dic47⋊C4C2×D411yescharacteristic
720Dic47⋊C4C2×D411yescharacteristic
721Dic47⋊C4C2×D411yescharacteristic
722Dic47⋊C4C2×D411yescharacteristic
723C4×Dic47—21no—
724C4×Dic47—21no—
725C4×Dic47—21no—
726C4×Dic47C2×D411yescharacteristic
727C4×Dic47C2×D411yescharacteristic
728C4×Dic47C2411yescharacteristic
729C4×Dic47C2411yescharacteristic
730#10625329—41no—
731C2×C47⋊C8—41no—
732C2×C47⋊C8C2411yescharacteristic
733C2×C47⋊C8C2411yescharacteristic
734C2×C47⋊C8C2411yescharacteristic
735C2×C47⋊C8C2411yescharacteristic
736D376—41no—
737D376—41no—
738#10625325—41no—
739#10625325—41no—
740#10625324—41no—
741#10625324—41no—
742C8×D47—41no—
743C8×D47—41no—
744C23×C47—24no—
745C23×C47—21no—
746C23×C47—21no—
747C23×C47—21no—
748C23×C47—21no—
749C23×C47—21no—
750C23×C47—42no—
751C23×C47—42no—
752C23×C47—81no—
753C23×C47—81no—
754C23×C47—81no—
755C23×C47—81no—
756C23×C47—81no—
757C23×C47—81no—
758C23×C47—81no—
759C23×C47—81no—
760C23×C47—81no—
761C23×C47C22×D411yescharacteristic
762C23×C47C22×D411yescharacteristic
763C23×C47C22×D411yescharacteristic
764C22×D47—21no—
765C22×D47—21no—
766C22×D47—21no—
767C22×D47—42no—
768C22×D47—42no—
769C22×D47—81no—
770C22×D47—81no—
771C22×D47—81no—
772C22×D47—81no—
773C22×D47—81no—
774C22×D47—81no—
775C22×D47—81no—
776C22×D47—81no—
777C22×D47—81no—
778C22×D47—81no—
779C22×D47—81no—
780C22×D47—81no—
781C22×D47—81no—
782C22×D47C22×D411yescharacteristic
783C22×D47C22×D411yescharacteristic
784Q8×C47—21no—
785Q8×C47—21no—
786Q8×C47—41no—
787D4×C47—24no—
788D4×C47—21no—
789D4×C47—21no—
790D4×C47—21no—
791D4×C47—21no—
792D4×C47—21no—
793D4×C47—21no—
794D4×C47—21no—
795D4×C47—21no—
796D4×C47—41no—
797D4×C47—41no—
798D4×C47—41no—
799D4×C47—42no—
800D4×C47—42no—
801D4×C47—42no—
802D4×C47—42no—
803D4×C47—42no—
804D4×C47—81no—
805D4×C47—81no—
806D4×C47—81no—
807D4×C47—81no—
808D4×C47—81no—
809D4×C47H(5,𝔽2)12yes—
810D4×C47H(5,𝔽2)12yes—
811C2×C4×C47—21no—
812C2×C4×C47—21no—
813C2×C4×C47—21no—
814C2×C4×C47—21no—
815C2×C4×C47—21no—
816C2×C4×C47—21no—
817C2×C4×C47—21no—
818C2×C4×C47—21no—
819C2×C4×C47—21no—
820C2×C4×C47—42no—
821C2×C4×C47—42no—
822C2×C4×C47—42no—
823C2×C4×C47C22×D411yescharacteristic
824C2×C4×C47C22×D411yescharacteristic
825C2×C4×C47C22×D411yescharacteristic
826C2×C4×C47C2511yescharacteristic
827C22⋊D47—22no—
828C22⋊D47—22no—
829C22⋊D47—41no—
830C22⋊D47—41no—
831C22⋊D47—41no—
832C22⋊D47—41no—
833C22⋊D47—42no—
834C22⋊D47—42no—
835C22⋊D47—42no—
836C22⋊D47—42no—
837C22⋊D47—42no—
838C22⋊D47—42no—
839C22⋊D47—42no—
840C22⋊D47—42no—
841C22⋊D47—81no—
842C22⋊D47—81no—
843C22⋊D47—81no—
844C22⋊D47—81no—
845C22⋊D47—81no—
846C22⋊D47—81no—
847C22⋊D47—81no—
848C22⋊D47—81no—
849C22⋊D47—81no—
850C22⋊D47—81no—
851C22⋊D47—81no—
852C22⋊D47—81no—
853C22⋊D47—81no—
854C22⋊D47—81no—
855C22⋊D47—81no—
856C2×Dic47—22no—
857C2×Dic47—21no—
858C2×Dic47—21no—
859C2×Dic47—21no—
860C2×Dic47—21no—
861C2×Dic47—21no—
862C2×Dic47—41no—
863C2×Dic47—42no—
864C2×Dic47—42no—
865C2×Dic47—42no—
866C2×Dic47—42no—
867C2×Dic47—42no—
868C2×Dic47—42no—
869C2×Dic47—81no—
870C2×Dic47—81no—
871C2×Dic47—81no—
872C2×Dic47C22×D411yescharacteristic
873C2×Dic47C22×D411yescharacteristic
874C2×Dic47C22×D411yescharacteristic
875C2×Dic47C22×D411yescharacteristic
876C2×Dic47C22×D411yescharacteristic
877C2×Dic47C22×D411yescharacteristic
878D188—21no—
879D188—21no—
880D188—21no—
881D188—21no—
882D188—21no—
883D188—21no—
884D188—41no—
885D188—81no—
886D188—81no—
887D188—81no—
888C4×D47—21no—
889C4×D47—21no—
890C4×D47—21no—
891C4×D47—21no—
892C4×D47—42no—
893C4×D47—42no—
894C4×D47—42no—
895Dic94—21no—
896Dic94—21no—
897Dic94—41no—
898Dic94—81no—
899Dic94—81no—
900C8×C47—21no—
901C8×C47—21no—
902C8×C47—21no—
903C8×C47—21no—
904C47⋊C8—21no—
905C47⋊C8—21no—
906C47⋊C8—21no—
907C47⋊C8—21no—
908#61679—471nomaximal, Sylow
909C22×C47—21no—
910C22×C47—21no—
911C22×C47—21no—
912C22×C47—22no—
913C22×C47—22no—
914C22×C47—21no—
915C22×C47—21no—
916C22×C47—21no—
917C22×C47—21no—
918C22×C47—21no—
919C22×C47—21no—
920C22×C47—41no—
921C22×C47—41no—
922C22×C47—41no—
923C22×C47—41no—
924C22×C47—41no—
925C22×C47—41no—
926C22×C47—41no—
927C22×C47—41no—
928C22×C47—41no—
929C22×C47—41no—
930C22×C47—41no—
931C22×C47—41no—
932C22×C47—41no—
933C22×C47—84no—
934C22×C47—162no—
935C22×C47—162no—
936C22×C47—162no—
937C22×C47C23×D411yescharacteristic
938C2×D47—21no—
939C2×D47—21no—
940C2×D47—21no—
941C2×D47—21no—
942C2×D47—21no—
943C2×D47—21no—
944C2×D47—41no—
945C2×D47—41no—
946C2×D47—41no—
947C2×D47—41no—
948C2×D47—41no—
949C2×D47—41no—
950C2×D47—41no—
951C2×D47—41no—
952C2×D47—41no—
953C2×D47—162no—
954C2×D47—162no—
955C2×D47—162no—
956C2×D47—162no—
957C2×D47—162no—
958C4×C47—21no—
959C4×C47—21no—
960C4×C47—21no—
961C4×C47—41no—
962C4×C47—41no—
963C4×C47—41no—
964C4×C47C2×H(5,𝔽2)11yescharacteristic
965C4×C47C2×H(5,𝔽2)11yescharacteristic
966Dic47—21no—
967Dic47—21no—
968Dic47—21no—
969Dic47—21no—
970Dic47—21no—
971Dic47—41no—
972Dic47—41no—
973Dic47—41no—
974Dic47—41no—
975Dic47—41no—
976Dic47#57612yes—
977#3549—471no—
978#3496—471no—
979#3325—471no—
980#3325—471no—
981#3319—471no—
982#3319—471no—
983#3319—471no—
984#3319—471no—
985#3303—471no—
986#3303—471no—
987D4×D8—471no—
988D4×D8—471no—
989#3272—471no—
990#3272—471no—
991#3264—471no—
992#3264—471no—
993#3264—471no—
994#3264—471no—
995#3214—471no—
996#3207—471no—
997#3198—471no—
998#3198—471no—
999#3198—471no—
1000#3198—471no—
1001#3109—471no—
1002#3100—471no—
1003#3008—471no—
1004#3008—471no—
1005#3008—471no—
1006#3008D4711yescharacteristic, complemented
1007#2981—471no—
1008C2×C47—41no—
1009C2×C47—42no—
1010C2×C47—42no—
1011C2×C47—41no—
1012C2×C47—41no—
1013C2×C47—81no—
1014C2×C47—81no—
1015C2×C47—81no—
1016C2×C47#348411yescharacteristic
1017C2×C47C2×#57611yescharacteristic
1018C2×C47#358511yescharacteristic
1019D47—41no—
1020D47—41no—
1021D47—81no—
1022D47—81no—
1023D47—81no—
1024C2×H(5,𝔽2)—471no—
1025C2×H(5,𝔽2)C2×D4711yescharacteristic, complemented
1026C2×AGL(1,ℤ/8)—471no—
1027C2×AGL(1,ℤ/8)—471no—
1028C2×AGL(1,ℤ/8)—471no—
1029C2×AGL(1,ℤ/8)C2×D4711yescharacteristic, complemented
1030C22×D8—471no—
1031C22×D8—471no—
1032C22×D8—471no—
1033C22×D8C2×D4711yescharacteristic, complemented
1034H(3,𝔽4)—941no—
1035H(3,𝔽4)—941no—
1036#555—471no—
1037#555—471no—
1038#555—471no—
1039#555—471no—
1040#555—941no—
1041#547—471no—
1042#547—471no—
1043#547—941no—
1044#546—471no—
1045#546—471no—
1046#546—471no—
1047#546—471no—
1048#546—941no—
1049#546—941no—
1050D42—471no—
1051D42—471no—
1052D42—471no—
1053D42—471no—
1054D42—471no—
1055D42—471no—
1056D42—941no—
1057D42—941no—
1058#537—471no—
1059#537—471no—
1060#535—471no—
1061#535—471no—
1062#535—471no—
1063#535—941no—
1064#535—941no—
1065#535—941no—
1066#535—941no—
1067#535C2×D4711yescharacteristic, complemented
1068#534—941no—
1069#534—941no—
1070#532—471no—
1071#532—471no—
1072#532—471no—
1073#532—471no—
1074C2×#121—941no—
1075C2×#121—941no—
1076C2×C4×D4—471no—
1077#496—471no—
1078#496—471no—
1079#493—471no—
1080#492—471no—
1081#489—471no—
1082#489—471no—
1083#487—471no—
1084#486—471no—
1085#485—471no—
1086#485—471no—
1087#485—471no—
1088#485—471no—
1089#482—471no—
1090#482—471no—
1091#482—471no—
1092#482—471no—
1093#481—471no—
1094#481—471no—
1095#480—471no—
1096#480—471no—
1097#476—471no—
1098#476—471no—
1099#474—471no—
1100#474—471no—
1101#469—471no—
1102#469—471no—
1103#469—471no—
1104#469—471no—
1105#468—471no—
1106#468—471no—
1107#468—471no—
1108#468—471no—
1109#466—471no—
1110#466—471no—
1111#466—471no—
1112#466—471no—
1113#465—471no—
1114#465—471no—
1115#465—471no—
1116#465—471no—
1117#463—471no—
1118#463—471no—
1119#463—471no—
1120#463—471no—
1121#461—471no—
1122#461—471no—
1123#459—471no—
1124#459—471no—
1125#459—471no—
1126#459—471no—
1127#459—471no—
1128#459—471no—
1129#450—471no—
1130#450—471no—
1131#450—471no—
1132#450—471no—
1133#449—471no—
1134#449—471no—
1135#449—471no—
1136#449—471no—
1137#449—471no—
1138#449—471no—
1139#449—471no—
1140#449—471no—
1141#449—471no—
1142#449—471no—
1143#449—471no—
1144#449—471no—
1145#449C2×D4711yescharacteristic, complemented
1146#449C2×D4711yescharacteristic, complemented
1147#449C2×D4711yescharacteristic, complemented
1148#449C2×D4711yescharacteristic, complemented
1149#447—471no—
1150#447—471no—
1151#447—471no—
1152#447—471no—
1153#447—471no—
1154#447—471no—
1155#447—471no—
1156#447—471no—
1157#447—471no—
1158#447—471no—
1159#447—471no—
1160#447—471no—
1161#447C2×D4711yescharacteristic, complemented
1162#447C2×D4711yescharacteristic, complemented
1163#447C2×D4711yescharacteristic, complemented
1164#447C2×D4711yescharacteristic, complemented
1165#442—471no—
1166#442—471no—
1167#442—471no—
1168#442—471no—
1169C4×D8—471no—
1170C4×D8—471no—
1171C4×D8—471no—
1172C4×D8—471no—
1173#436—471no—
1174#436—471no—
1175#435—471no—
1176#435—471no—
1177#435—471no—
1178#435—471no—
1179C8×D4—471no—
1180C8×D4—471no—
1181#432—471no—
1182#431—471no—
1183#418—471no—
1184#418—471no—
1185#418—471no—
1186#418C2×D4711yescharacteristic, complemented
1187#416—471no—
1188#416—471no—
1189#416—471no—
1190#416C2×D4711yescharacteristic, complemented
1191#408—471no—
1192#408—471no—
1193#408—471no—
1194#408C2×D4711yescharacteristic, complemented
1195C47#6167911yescharacteristic, complemented, Sylow
1196H(5,𝔽2)—42no—
1197H(5,𝔽2)—42no—
1198H(5,𝔽2)—1882no—
1199H(5,𝔽2)—1882no—
1200C2×#41—21no—
1201C2×#41—471no—
1202C2×#41—471no—
1203C2×#41—471no—
1204C2×#41—471no—
1205C2×#41—941no—
1206C2×#41—941no—
1207C2×#41—941no—
1208C2×#41C22×D4711yescharacteristic
1209C2×#41C22×D4711yescharacteristic
1210C2×#41C22×D4711yescharacteristic
1211C2×#41C22×D4711yescharacteristic
1212C22×D4—21no—
1213C22×D4—21no—
1214C22×D4—21no—
1215C22×D4—471no—
1216C22×D4—471no—
1217C22×D4—471no—
1218C22×D4—471no—
1219C22×D4—471no—
1220C22×D4—941no—
1221C22×D4—941no—
1222C22×D4—941no—
1223C22×D4—941no—
1224C22×D4—941no—
1225C22×D4—941no—
1226C22×D4—941no—
1227C22×D4—941no—
1228C22×D4—941no—
1229C22×D4C22×D4711yescharacteristic
1230C22×D4C22×D4711yescharacteristic
1231C22×D4C22×D4711yescharacteristic
1232C22×D4C22×D4711yescharacteristic
1233C23×C4—941no—
1234AGL(1,ℤ/8)—42no—
1235AGL(1,ℤ/8)—1882no—
1236AGL(1,ℤ/8)—1882no—
1237AGL(1,ℤ/8)—1882no—
1238C2×SD16—471no—
1239C2×SD16—471no—
1240C2×SD16—471no—
1241C2×SD16—471no—
1242C2×SD16—471no—
1243C2×SD16—471no—
1244C2×SD16C22×D4711yescharacteristic
1245C2×SD16C22×D4711yescharacteristic
1246C2×D8—42no—
1247C2×D8—471no—
1248C2×D8—471no—
1249C2×D8—471no—
1250C2×D8—471no—
1251C2×D8—471no—
1252C2×D8—471no—
1253C2×D8—471no—
1254C2×D8—471no—
1255C2×D8—471no—
1256C2×D8—471no—
1257C2×D8—1882no—
1258C2×D8—1882no—
1259C2×D8—1882no—
1260C2×D8C22×D4711yescharacteristic
1261C2×D8C22×D4711yescharacteristic
1262C2×D8C22×D4711yescharacteristic
1263C2×D8C22×D4711yescharacteristic
1264C2×D8C22×D4711yescharacteristic
1265C2×D8C22×D4711yescharacteristic
1266C2×M16—471no—
1267C2×M16—471no—
1268C2×M16—471no—
1269C2×M16C22×D4711yescharacteristic
1270C22×C8—471no—
1271C22×C8—471no—
1272C22×C8—471no—
1273C22×C8C22×D4711yescharacteristic
1274C4⋊Q8—471no—
1275C4⋊Q8—471no—
1276C4⋊Q8—471no—
1277C4⋊Q8—471no—
1278#127—21no—
1279#127—471no—
1280#127—471no—
1281#127—471no—
1282#127—471no—
1283#127—941no—
1284#127—941no—
1285#127—941no—
1286#124—21no—
1287#124—471no—
1288#124—471no—
1289#124—471no—
1290#124—471no—
1291#124—941no—
1292#124—941no—
1293#124—941no—
1294#124—941no—
1295#124—941no—
1296#124—941no—
1297#124—941no—
1298#124—941no—
1299#124—941no—
1300#124—941no—
1301#124—941no—
1302#124—941no—
1303#124—941no—
1304#123—941no—
1305#123—941no—
1306#123—941no—
1307#123—941no—
1308#123—941no—
1309#123—941no—
1310#123—941no—
1311#123—941no—
1312C22⋊Q8—471no—
1313C22⋊Q8—471no—
1314C22⋊Q8—471no—
1315C22⋊Q8—471no—
1316C22⋊Q8—941no—
1317C22⋊Q8—941no—
1318#121—471no—
1319#121—471no—
1320#121—471no—
1321#121—471no—
1322#121—471no—
1323#121—471no—
1324#121—471no—
1325#121—471no—
1326#121—471no—
1327#121—471no—
1328#121—471no—
1329#121—471no—
1330#121—471no—
1331#121—471no—
1332#121—471no—
1333#121—471no—
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#121—941no—
1350#121—941no—
1351#121—941no—
1352#121—941no—
1353#121—941no—
1354#121—941no—
1355#121—941no—
1356#121—941no—
1357#121—941no—
1358#121—941no—
1359#121—941no—
1360#121C22×D4711yescharacteristic
1361#121C22×D4711yescharacteristic
1362#121C22×D4711yescharacteristic
1363#121C22×D4711yescharacteristic
1364#120—21no—
1365#120—21no—
1366#120—941no—
1367#120—941no—
1368#120—941no—
1369#120—941no—
1370#120—941no—
1371#120—941no—
1372#120—941no—
1373#120—941no—
1374#120—941no—
1375#120—941no—
1376#120—941no—
1377#120—941no—
1378#120—941no—
1379#120—941no—
1380#120—941no—
1381#120—941no—
1382#120—941no—
1383#120—941no—
1384#120—941no—
1385#120—941no—
1386#120—941no—
1387#120—941no—
1388C4×D4—471no—
1389C4×D4—471no—
1390C4×D4—471no—
1391C4×D4—471no—
1392C4×D4—471no—
1393C4×D4—471no—
1394C4×D4—471no—
1395C4×D4—471no—
1396C4×D4—471no—
1397C4×D4—471no—
1398C4×D4—471no—
1399C4×D4—471no—
1400C4×D4—941no—
1401C4×D4—941no—
1402C4×D4—941no—
1403C4×D4—941no—
1404C4×D4—941no—
1405C4×D4—941no—
1406#117—471no—
1407#117—471no—
1408#117—471no—
1409#117—941no—
1410#117—941no—
1411#117—941no—
1412#117—941no—
1413#117C22×D4711yescharacteristic
1414C2×C4⋊C4—471no—
1415C2×C4⋊C4—941no—
1416C2×C4⋊C4—941no—
1417C2×C22⋊C4—941no—
1418C2×C22⋊C4—941no—
1419C2×C22⋊C4—941no—
1420C2×C22⋊C4—941no—
1421C2×C22⋊C4—941no—
1422C2×C42—471no—
1423#107—471no—
1424#107—471no—
1425#107—471no—
1426#107—471no—
1427#106—471no—
1428#106—471no—
1429#106—471no—
1430#106—471no—
1431C4⋊C8—471no—
1432C4⋊C8—471no—
1433C4⋊C8—471no—
1434C4⋊C8—471no—
1435#103—471no—
1436#103—471no—
1437#103—471no—
1438#103—471no—
1439#103—471no—
1440#103—471no—
1441#103C22×D4711yescharacteristic
1442#103C22×D4711yescharacteristic
1443#102—471no—
1444#102—471no—
1445#102—471no—
1446#102—471no—
1447#102—471no—
1448#102—471no—
1449#102—471no—
1450#102—471no—
1451#102—471no—
1452#102—471no—
1453#102—471no—
1454#102—471no—
1455#102—471no—
1456#102—471no—
1457#102—471no—
1458#102—471no—
1459#102—471no—
1460#102—471no—
1461#102C22×D4711yescharacteristic
1462#102C22×D4711yescharacteristic
1463#102C22×D4711yescharacteristic
1464#102C22×D4711yescharacteristic
1465#102C22×D4711yescharacteristic
1466#102C22×D4711yescharacteristic
1467C22⋊C8—471no—
1468C22⋊C8—471no—
1469C22⋊C8—471no—
1470C22⋊C8—471no—
1471C22⋊C8—471no—
1472C22⋊C8—471no—
1473C22⋊C8—471no—
1474C22⋊C8—471no—
1475C22⋊C8C22×D4711yescharacteristic
1476C22⋊C8C22×D4711yescharacteristic
1477C22⋊C8C22×D4711yescharacteristic
1478C22⋊C8C22×D4711yescharacteristic
1479#97—471no—
1480#97—471no—
1481C4×C8—471no—
1482C4×C8—471no—
1483C24—21no—
1484C24—21no—
1485C24—21no—
1486C24—21no—
1487C24—941no—
1488C24—941no—
1489C24—941no—
1490C24—941no—
1491C24—941no—
1492#41—22no—
1493#41—22no—
1494#41—41no—
1495#41—41no—
1496#41—41no—
1497#41—41no—
1498#41—41no—
1499#41—41no—
1500#41—44no—
1501#41—942no—
1502#41—942no—
1503#41—3762no—
1504#41—3762no—
1505#41—1881no—
1506#41—1881no—
1507#41—1881no—
1508#41—1881no—
1509#41—1881no—
1510#41—1881no—
1511#41—1884no—
1512C2×Q8—471no—
1513C2×Q8—471no—
1514C2×Q8—941no—
1515C2×Q8—941no—
1516C2×Q8D4×D4711yescharacteristic
1517C2×Q8C23×D4711yescharacteristic
1518C2×D4—22no—
1519C2×D4—22no—
1520C2×D4—22no—
1521C2×D4—22no—
1522C2×D4—21no—
1523C2×D4—21no—
1524C2×D4—21no—
1525C2×D4—21no—
1526C2×D4—21no—
1527C2×D4—21no—
1528C2×D4—21no—
1529C2×D4—21no—
1530C2×D4—21no—
1531C2×D4—21no—
1532C2×D4—21no—
1533C2×D4—41no—
1534C2×D4—41no—
1535C2×D4—41no—
1536C2×D4—41no—
1537C2×D4—44no—
1538C2×D4—44no—
1539C2×D4—44no—
1540C2×D4—471no—
1541C2×D4—471no—
1542C2×D4—471no—
1543C2×D4—471no—
1544C2×D4—471no—
1545C2×D4—471no—
1546C2×D4—471no—
1547C2×D4—471no—
1548C2×D4—471no—
1549C2×D4—471no—
1550C2×D4—941no—
1551C2×D4—941no—
1552C2×D4—941no—
1553C2×D4—941no—
1554C2×D4—941no—
1555C2×D4—941no—
1556C2×D4—941no—
1557C2×D4—941no—
1558C2×D4—941no—
1559C2×D4—941no—
1560C2×D4—941no—
1561C2×D4—941no—
1562C2×D4—942no—
1563C2×D4—942no—
1564C2×D4—941no—
1565C2×D4—941no—
1566C2×D4—941no—
1567C2×D4—941no—
1568C2×D4—941no—
1569C2×D4—941no—
1570C2×D4—941no—
1571C2×D4—941no—
1572C2×D4—941no—
1573C2×D4—941no—
1574C2×D4—941no—
1575C2×D4—941no—
1576C2×D4—941no—
1577C2×D4—941no—
1578C2×D4—3762no—
1579C2×D4—3762no—
1580C2×D4—3762no—
1581C2×D4—3762no—
1582C2×D4—3762no—
1583C2×D4—3762no—
1584C2×D4—1881no—
1585C2×D4—1881no—
1586C2×D4—1881no—
1587C2×D4—1881no—
1588C2×D4—1881no—
1589C2×D4—1881no—
1590C2×D4—1881no—
1591C2×D4—1881no—
1592C2×D4—1884no—
1593C2×D4—1884no—
1594C2×D4—1884no—
1595C2×D4D4×D4711yescharacteristic
1596C2×D4D4×D4711yescharacteristic
1597C2×D4D4×D4711yescharacteristic
1598C2×D4C23×D4711yescharacteristic
1599C2×D4C23×D4711yescharacteristic
1600C2×D4C23×D4711yescharacteristic
1601C2×D4C23×D4711yescharacteristic
1602C2×D4C23×D4711yescharacteristic
1603C22×C4—21no—
1604C22×C4—21no—
1605C22×C4—21no—
1606C22×C4—471no—
1607C22×C4—471no—
1608C22×C4—471no—
1609C22×C4—471no—
1610C22×C4—941no—
1611C22×C4—941no—
1612C22×C4—941no—
1613C22×C4—941no—
1614C22×C4—941no—
1615C22×C4—941no—
1616C22×C4—941no—
1617C22×C4—941no—
1618C22×C4—941no—
1619C22×C4—941no—
1620C22×C4—941no—
1621C22×C4—941no—
1622C22×C4—3762no—
1623C22×C4C23×D4711yescharacteristic
1624C22×C4C23×D4711yescharacteristic
1625C22×C4C23×D4711yescharacteristic
1626SD16—41no—
1627SD16—41no—
1628SD16—1881no—
1629SD16—1881no—
1630SD16—1881no—
1631SD16—1881no—
1632SD16—1881no—
1633SD16—1881no—
1634D8—22no—
1635D8—22no—
1636D8—22no—
1637D8—22no—
1638D8—41no—
1639D8—41no—
1640D8—942no—
1641D8—942no—
1642D8—942no—
1643D8—942no—
1644D8—1881no—
1645D8—1881no—
1646D8—1881no—
1647D8—1881no—
1648D8—1881no—
1649D8—1881no—
1650M16—41no—
1651M16—1881no—
1652M16—1881no—
1653M16—1881no—
1654C2×C8—41no—
1655C2×C8—471no—
1656C2×C8—471no—
1657C2×C8—471no—
1658C2×C8—471no—
1659C2×C8—1881no—
1660C2×C8—1881no—
1661C2×C8—1881no—
1662C2×C8C23×D4711yescharacteristic
1663C2×C8C23×D4711yescharacteristic
1664C2×C8C23×D4711yescharacteristic
1665C2×C8C23×D4711yescharacteristic
1666C4⋊C4—471no—
1667C4⋊C4—471no—
1668C4⋊C4—471no—
1669C4⋊C4—471no—
1670C4⋊C4—471no—
1671C4⋊C4—471no—
1672C4⋊C4—471no—
1673C4⋊C4—471no—
1674C4⋊C4—941no—
1675C4⋊C4—941no—
1676C4⋊C4—941no—
1677C4⋊C4—941no—
1678C4⋊C4—941no—
1679C4⋊C4—941no—
1680C4⋊C4—941no—
1681C4⋊C4—941no—
1682C4⋊C4—941no—
1683C4⋊C4C23×D4711yescharacteristic
1684C4⋊C4C23×D4711yescharacteristic
1685C22⋊C4—21no—
1686C22⋊C4—21no—
1687C22⋊C4—21no—
1688C22⋊C4—21no—
1689C22⋊C4—21no—
1690C22⋊C4—471no—
1691C22⋊C4—471no—
1692C22⋊C4—471no—
1693C22⋊C4—471no—
1694C22⋊C4—471no—
1695C22⋊C4—471no—
1696C22⋊C4—471no—
1697C22⋊C4—471no—
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—
1710C22⋊C4—941no—
1711C22⋊C4—941no—
1712C22⋊C4—941no—
1713C22⋊C4—941no—
1714C22⋊C4—941no—
1715C22⋊C4—941no—
1716C22⋊C4—941no—
1717C22⋊C4—941no—
1718C22⋊C4—941no—
1719C22⋊C4—941no—
1720C22⋊C4—941no—
1721C22⋊C4—941no—
1722C22⋊C4—941no—
1723C22⋊C4—941no—
1724C22⋊C4—941no—
1725C22⋊C4—941no—
1726C22⋊C4—941no—
1727C22⋊C4—941no—
1728C22⋊C4—941no—
1729C42—21no—
1730C42—471no—
1731C42—471no—
1732C42—471no—
1733C42—471no—
1734C42—941no—
1735C42—941no—
1736C42—941no—
1737C23—24no—
1738C23—21no—
1739C23—21no—
1740C23—21no—
1741C23—21no—
1742C23—21no—
1743C23—42no—
1744C23—42no—
1745C23—81no—
1746C23—81no—
1747C23—81no—
1748C23—81no—
1749C23—81no—
1750C23—81no—
1751C23—81no—
1752C23—81no—
1753C23—81no—
1754C23—471no—
1755C23—471no—
1756C23—941no—
1757C23—941no—
1758C23—941no—
1759C23—3761no—
1760C23—3761no—
1761C23—3761no—
1762C23—3761no—
1763C23—3761no—
1764C23—3761no—
1765C23—3761no—
1766C23—3761no—
1767C23—3761no—
1768C23—3761no—
1769C23—3761no—
1770C23—3761no—
1771C23—3761no—
1772C23—1882no—
1773C23—1882no—
1774C23C2×D4×D4711yescharacteristic
1775C23C2×D4×D4711yescharacteristic
1776C23C2×D4×D4711yescharacteristic
1777Q8—21no—
1778Q8—21no—
1779Q8—41no—
1780Q8—941no—
1781Q8—941no—
1782Q8—3761no—
1783Q8—3761no—
1784Q8—1881no—
1785D4—24no—
1786D4—21no—
1787D4—21no—
1788D4—21no—
1789D4—21no—
1790D4—21no—
1791D4—21no—
1792D4—21no—
1793D4—21no—
1794D4—41no—
1795D4—41no—
1796D4—41no—
1797D4—42no—
1798D4—42no—
1799D4—42no—
1800D4—42no—
1801D4—42no—
1802D4—81no—
1803D4—81no—
1804D4—81no—
1805D4—81no—
1806D4—81no—
1807D4—942no—
1808D4—942no—
1809D4—941no—
1810D4—941no—
1811D4—941no—
1812D4—941no—
1813D4—941no—
1814D4—941no—
1815D4—3761no—
1816D4—3761no—
1817D4—3761no—
1818D4—3761no—
1819D4—3761no—
1820D4—3761no—
1821D4—3761no—
1822D4—3761no—
1823D4—3761no—
1824D4—3761no—
1825D4—3761no—
1826D4—3761no—
1827D4—3761no—
1828D4—3761no—
1829D4—3761no—
1830D4—3761no—
1831D4—3761no—
1832D4—3761no—
1833D4—1881no—
1834D4—1882no—
1835D4—1882no—
1836D4—1881no—
1837D4—1881no—
1838D4—1881no—
1839D4—1881no—
1840D4—1882no—
1841D4—1882no—
1842D4—1882no—
1843D4—1882no—
1844D4—1882no—
1845D4—1882no—
1846D4#1309406912yes—
1847D4#1309406912yes—
1848C2×C4—21no—
1849C2×C4—21no—
1850C2×C4—21no—
1851C2×C4—21no—
1852C2×C4—21no—
1853C2×C4—21no—
1854C2×C4—21no—
1855C2×C4—21no—
1856C2×C4—21no—
1857C2×C4—42no—
1858C2×C4—42no—
1859C2×C4—42no—
1860C2×C4—471no—
1861C2×C4—471no—
1862C2×C4—471no—
1863C2×C4—471no—
1864C2×C4—471no—
1865C2×C4—471no—
1866C2×C4—942no—
1867C2×C4—941no—
1868C2×C4—941no—
1869C2×C4—941no—
1870C2×C4—941no—
1871C2×C4—941no—
1872C2×C4—941no—
1873C2×C4—941no—
1874C2×C4—941no—
1875C2×C4—941no—
1876C2×C4—3761no—
1877C2×C4—3761no—
1878C2×C4—3761no—
1879C2×C4—1882no—
1880C2×C4—1882no—
1881C2×C4—1882no—
1882C2×C4—1882no—
1883C2×C4—1882no—
1884C2×C4—1882no—
1885C2×C4—1881no—
1886C2×C4—1882no—
1887C2×C4—1882no—
1888C2×C4—1882no—
1889C2×C4C2×D4×D4711yescharacteristic
1890C2×C4C2×D4×D4711yescharacteristic
1891C2×C4C2×D4×D4711yescharacteristic
1892C2×C4C24×D4711yescharacteristic
1893C8—21no—
1894C8—21no—
1895C8—21no—
1896C8—21no—
1897C8—941no—
1898C8—941no—
1899C8—941no—
1900C8—941no—
1901C22—21no—
1902C22—21no—
1903C22—21no—
1904C22—21no—
1905C22—21no—
1906C22—21no—
1907C22—21no—
1908C22—21no—
1909C22—21no—
1910C22—22no—
1911C22—22no—
1912C22—41no—
1913C22—41no—
1914C22—41no—
1915C22—41no—
1916C22—41no—
1917C22—41no—
1918C22—41no—
1919C22—41no—
1920C22—41no—
1921C22—41no—
1922C22—41no—
1923C22—41no—
1924C22—41no—
1925C22—84no—
1926C22—162no—
1927C22—162no—
1928C22—162no—
1929C22—941no—
1930C22—941no—
1931C22—941no—
1932C22—941no—
1933C22—941no—
1934C22—941no—
1935C22—1881no—
1936C22—1881no—
1937C22—1881no—
1938C22—1881no—
1939C22—1881no—
1940C22—1881no—
1941C22—1881no—
1942C22—1881no—
1943C22—1881no—
1944C22—7522no—
1945C22—7522no—
1946C22—7522no—
1947C22—7522no—
1948C22—7522no—
1949C22C22×D4×D4711yescharacteristic
1950C4—21no—
1951C4—21no—
1952C4—21no—
1953C4—41no—
1954C4—41no—
1955C4—41no—
1956C4—472no—
1957C4—941no—
1958C4—941no—
1959C4—941no—
1960C4—941no—
1961C4—941no—
1962C4—1881no—
1963C4—1881no—
1964C4—1881no—
1965C4—1881no—
1966C4—1881no—
1967C4C2×#1309406911yescharacteristic
1968C4C2×#1309406911yescharacteristic
1969C2—41no—
1970C2—41no—
1971C2—41no—
1972C2—42no—
1973C2—42no—
1974C2—81no—
1975C2—81no—
1976C2—81no—
1977C2—3761no—
1978C2—3761no—
1979C2—3761no—
1980C2—1881no—
1981C2—1881no—
1982C2#2025701711yescharacteristic
1983C2#576×D4711yescharacteristic
1984C2#2025816311yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3008C2
socleC22×C47C23×D4
hypercenter#3008D47
hypocenterC47#61679
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. #20257791C2semidirect
2. #20257147C2semidirect
3. #20255626C2semidirect
4. #20255623C2semidirect
5. #20255548C2semidirect
6. #20255545C2semidirect
7. #20255540C2semidirect
8. #20255537C2semidirect
9. #20255312C2semidirect
10. #20255309C2semidirect
11. D8×C22⋊D47C2semidirect
12. #20255058C2semidirect
13. #20254982C2semidirect
14. #20254981C2semidirect
15. #20254871C2semidirect
16. #20254868C2semidirect
17. #20254862C2semidirect
18. #20254861C2semidirect
19. #20254380C2semidirect
20. #20254319C2semidirect
21. #20254242C2semidirect
22. #20254240C2semidirect
23. #20254239C2semidirect
24. #20254237C2semidirect
25. #20253474C2semidirect
26. #20253383C2semidirect
27. #20252656C2semidirect
28. #20252651C2semidirect
29. #20252651C2semidirect
30. #20252461C2semidirect
31. C47×#3008C2semidirect
32. C2×#13094069C22semidirect
33. C2×#13094049C22semidirect
34. C2×#13094048C22semidirect
35. C2×#13094048C22semidirect
36. C22×#10625334C22semidirect
37. C2×D8×D47C22semidirect
38. C2×D8×D47C22semidirect
41. #15689837C22semidirect
42. #15689837C22semidirect
43. #15689836C22semidirect
44. #15689836C22semidirect
47. #15689772C22semidirect
48. #15689772C22semidirect
50. #15689767C22semidirect
51. #15689767C22semidirect
53. #15689761C22semidirect
54. #15689761C22semidirect
55. #15689757C22semidirect
56. #15689757C22semidirect
58. D4×C22⋊D47C22semidirect
59. D4×C22⋊D47C22semidirect
60. D4×C22⋊D47C22semidirect
61. D4×C22⋊D47C22semidirect
63. #15689701C22semidirect
64. #15689701C22semidirect
65. #15689689C22semidirect
66. #15689689C22semidirect
69. #15689687C22semidirect
75. #15689669C22semidirect
76. #15689668C22semidirect
77. #15689668C22semidirect
80. C2×D4×Dic47C22semidirect
81. #15689511C22semidirect
82. #15689509C22semidirect
83. #15689498C22semidirect
84. #15689494C22semidirect
85. #15689484C22semidirect
86. #15689481C22semidirect
87. #15689472C22semidirect
88. #15689468C22semidirect
89. #15689465C22semidirect
90. #15689464C22semidirect
91. #15689463C22semidirect
92. #15689462C22semidirect
93. #15689448C22semidirect
94. #15689447C22semidirect
95. #15689446C22semidirect
96. #15689445C22semidirect
97. #15689442C22semidirect
98. #15689439C22semidirect
99. #15689437C22semidirect
100. #15689434C22semidirect
101. #15689411C22semidirect
102. #15689411C22semidirect
103. #15689401C22semidirect
104. #15689401C22semidirect
105. #15689376C22semidirect
106. #15689375C22semidirect
107. #15689374C22semidirect
108. #15689373C22semidirect
109. #15689372C22semidirect
110. #15689369C22semidirect
111. #15689367C22semidirect
112. #15689366C22semidirect
113. #15689359C22semidirect
114. #15689358C22semidirect
115. #15689357C22semidirect
116. #15689356C22semidirect
117. #15689355C22semidirect
118. #15689352C22semidirect
119. #15689350C22semidirect
120. #15689349C22semidirect
121. #15689341C22semidirect
122. #15689340C22semidirect
123. #15689337C22semidirect
124. #15689336C22semidirect
125. #15689327C22semidirect
126. #15689326C22semidirect
127. #15689317C22semidirect
128. #15689316C22semidirect
129. #15689316C22semidirect
130. #15689316C22semidirect
131. #15689316C22semidirect
132. #15689316C22semidirect
133. #15689276C22semidirect
134. #15689274C22semidirect
135. #15689272C22semidirect
136. #15689272C22semidirect
137. #15689270C22semidirect
138. #15689270C22semidirect
139. #15689269C22semidirect
140. #15689269C22semidirect
141. #15689268C22semidirect
142. #15689268C22semidirect
143. #15689268C22semidirect
144. #15689268C22semidirect
145. #15689266C22semidirect
146. #15689266C22semidirect
147. #15689265C22semidirect
148. #15689265C22semidirect
149. #15689259C22semidirect
150. #15689258C22semidirect
151. #15689258C22semidirect
152. #15689257C22semidirect
153. #15689257C22semidirect
154. #15689257C22semidirect
155. #15689257C22semidirect
156. #15689257C22semidirect
157. #15689255C22semidirect
158. #15689255C22semidirect
159. #15689255C22semidirect
160. #15689255C22semidirect
161. #15689235C22semidirect
162. #15689235C22semidirect
163. #15689232C22semidirect
164. #15689232C22semidirect
165. D8×Dic47C22semidirect
166. D8×Dic47C22semidirect
167. #15689203C22semidirect
168. #15689203C22semidirect
169. #15689199C22semidirect
170. #15689198C22semidirect
171. #15689197C22semidirect
172. #15689194C22semidirect
173. #15689192C22semidirect
174. #15689191C22semidirect
175. C8×C22⋊D47C22semidirect
176. (C22⋊D47)⋊C8C22semidirect
177. #15689177C22semidirect
178. #15689173C22semidirect
179. #15689128C22semidirect
180. #15689126C22semidirect
181. #15689126C22semidirect
182. #15689119C22semidirect
183. #15689116C22semidirect
184. #15689116C22semidirect
185. #15689090C22semidirect
186. #15689088C22semidirect
187. #15689088C22semidirect
188. C2×H(5,𝔽2)×C47C22semidirect
189. C2×AGL(1,ℤ/8)×C47C22semidirect
190. C22×D8×C47C22semidirect
191. C47×#535C22semidirect
192. C47×#449C22semidirect
193. C47×#449C22semidirect
194. C47×#449C22semidirect
195. C47×#449C22semidirect
196. C47×#447C22semidirect
197. C47×#447C22semidirect
198. C47×#447C22semidirect
199. C47×#447C22semidirect
200. C47×#418C22semidirect
201. C47×#416C22semidirect
202. C47×#408C22semidirect
1006. #3008D47semidirect
1025. C2×H(5,𝔽2)C2×D47semidirect
1029. C2×AGL(1,ℤ/8)C2×D47semidirect
1033. C22×D8C2×D47semidirect
1067. #535C2×D47semidirect
1145. #449C2×D47semidirect
1146. #449C2×D47semidirect
1147. #449C2×D47semidirect
1148. #449C2×D47semidirect
1161. #447C2×D47semidirect
1162. #447C2×D47semidirect
1163. #447C2×D47semidirect
1164. #447C2×D47semidirect
1186. #418C2×D47semidirect
1190. #416C2×D47semidirect
1194. #408C2×D47semidirect
1195. C47#61679semidirect

Maximal subgroups

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

subgroupindex
#202577912
#202571472
#202556262
#202556232
#202555482
#202555452
#202555402
#202555372
#202553122
#202553092
D8×C22⋊D472
#202550582
#202549822
#202549812
#202548712
#202548682
#202548622
#202548612
#202543802
#202543192
#202542422
#202542402
#202542392
#202542372
#202534742
#202533832
#202526562
#202526512
#202524612
C47×#30082
#6167947