Finite Group Databasebeta

← #27103314

Subgroups — #27103314

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#20257790C211yesmaximal, characteristic, complemented
2#20257148C211yesmaximal, characteristic, complemented
3#20255625C211yesmaximal, characteristic, complemented
4#20255623C211yesmaximal, characteristic, complemented
5#20255551C211yesmaximal, characteristic, complemented
6#20255549C211yesmaximal, characteristic, complemented
7#20255546C211yesmaximal, characteristic, complemented
8#20255544C211yesmaximal, characteristic, complemented
9#20255311C211yesmaximal, characteristic, complemented
10#20255309C211yesmaximal, characteristic, complemented
11D8×C22⋊D47C211yesmaximal, characteristic, complemented
12#20255058C211yesmaximal, characteristic, complemented
13#20254986C211yesmaximal, characteristic, complemented
14#20254982C211yesmaximal, characteristic, complemented
15#20254867C211yesmaximal, characteristic, complemented
16#20254864C211yesmaximal, characteristic, complemented
17#20254863C211yesmaximal, characteristic, complemented
18#20254378C211yesmaximal, characteristic, complemented
19#20254320C211yesmaximal, characteristic, complemented
20#20254244C211yesmaximal, characteristic, complemented
21#20254243C211yesmaximal, characteristic, complemented
22#20254236C211yesmaximal, characteristic, complemented
23#20254235C211yesmaximal, characteristic, complemented
24#20253477C211yesmaximal, characteristic, complemented
25#20253387C211yesmaximal, characteristic, complemented
26#20252655C211yesmaximal, characteristic, complemented
27#20252653C211yesmaximal, characteristic, complemented
28#20252652C211yesmaximal, characteristic, complemented
29#20252651C211yesmaximal, characteristic, complemented
30#20252460C211yesmaximal, characteristic, complemented
31C47×#3264C211yesmaximal, characteristic, complemented
32C2×#13094070C2211yescharacteristic, complemented
33C2×#13094069C2211yescharacteristic, complemented
34C2×#13094051C2211yescharacteristic, complemented
35C2×#13094050C2211yescharacteristic, complemented
36C2×#13094048C2211yescharacteristic, complemented
37C22×#10625334C2211yescharacteristic, complemented
38C2×D8×D47C2211yescharacteristic, complemented
39C2×D8×D47C2211yescharacteristic, complemented
40#15689866—21no—
41#15689866—21no—
42#15689838C2211yescharacteristic, complemented
43#15689838C2211yescharacteristic, complemented
44#15689837—21no—
45#15689837C2211yescharacteristic, complemented
46#15689837C2211yescharacteristic, complemented
47#15689775C2211yescharacteristic, complemented
48#15689772C2211yescharacteristic, complemented
49#15689771—21no—
50#15689769C2211yescharacteristic, complemented
51#15689768C2211yescharacteristic, complemented
52#15689766C2211yescharacteristic, complemented
53#15689763—21no—
54#15689762—21no—
55#15689758C2211yescharacteristic, complemented
56#15689757C2211yescharacteristic, complemented
57D4×C22⋊D47—21no—
58D4×C22⋊D47C2211yescharacteristic, complemented
59D4×C22⋊D47C2211yescharacteristic, complemented
60D4×C22⋊D47C2211yescharacteristic, complemented
61#15689755—21no—
62#15689703C2211yescharacteristic, complemented
63#15689702C2211yescharacteristic, complemented
64#15689690—21no—
65#15689690C2211yescharacteristic, complemented
66#15689690C2211yescharacteristic, complemented
67#15689689—21no—
68#15689689C2211yescharacteristic, complemented
69#15689689C2211yescharacteristic, complemented
70#15689688—21no—
71#15689688—21no—
72#15689684—21no—
73#15689683—21no—
74#15689672C2211yescharacteristic, complemented
75#15689671C2211yescharacteristic, complemented
76#15689670C2211yescharacteristic
77#15689670C2211yescharacteristic, complemented
78C2×#13093997—21no—
79#121×D47—21no—
80C4×D4×D47C2211yescharacteristic, complemented
81#15689510C2211yescharacteristic, complemented
82#15689498C2211yescharacteristic, complemented
83#15689494C2211yescharacteristic, complemented
84#15689483C2211yescharacteristic, complemented
85#15689482C2211yescharacteristic, complemented
86#15689472C2211yescharacteristic, complemented
87#15689468C2211yescharacteristic, complemented
88#15689467C2211yescharacteristic, complemented
89#15689465C2211yescharacteristic, complemented
90#15689463C2211yescharacteristic, complemented
91#15689461C2211yescharacteristic, complemented
92#15689449C2211yescharacteristic, complemented
93#15689448C2211yescharacteristic, complemented
94#15689445C2211yescharacteristic, complemented
95#15689444C2211yescharacteristic, complemented
96#15689443C2211yescharacteristic, complemented
97#15689440C2211yescharacteristic, complemented
98#15689435C2211yescharacteristic, complemented
99#15689435C2211yescharacteristic, complemented
100#15689412C2211yescharacteristic, complemented
101#15689411C2211yescharacteristic, complemented
102#15689404C2211yescharacteristic, complemented
103#15689403C2211yescharacteristic, complemented
104#15689375C2211yescharacteristic, complemented
105#15689374C2211yescharacteristic, complemented
106#15689373C2211yescharacteristic, complemented
107#15689371C2211yescharacteristic, complemented
108#15689369C2211yescharacteristic, complemented
109#15689368C2211yescharacteristic, complemented
110#15689366C2211yescharacteristic, complemented
111#15689359C2211yescharacteristic, complemented
112#15689358C2211yescharacteristic, complemented
113#15689357C2211yescharacteristic, complemented
114#15689356C2211yescharacteristic, complemented
115#15689351C2211yescharacteristic, complemented
116#15689350C2211yescharacteristic, complemented
117#15689349C2211yescharacteristic, complemented
118#15689339C2211yescharacteristic, complemented
119#15689338C2211yescharacteristic, complemented
120#15689335C2211yescharacteristic, complemented
121#15689326C2211yescharacteristic, complemented
122#15689326C2211yescharacteristic, complemented
123#15689317C2211yescharacteristic, complemented
124#15689316C2211yescharacteristic, complemented
125#15689316C2211yescharacteristic, complemented
126#15689316C2211yescharacteristic, complemented
127#15689315C2211yescharacteristic, complemented
128#15689275C2211yescharacteristic, complemented
129#15689274C2211yescharacteristic, complemented
130#15689272C2211yescharacteristic, complemented
131#15689271C2211yescharacteristic, complemented
132#15689270C2211yescharacteristic, complemented
133#15689269C2211yescharacteristic, complemented
134#15689268C2211yescharacteristic, complemented
135#15689267C2211yescharacteristic, complemented
136#15689267C2211yescharacteristic, complemented
137#15689267C2211yescharacteristic, complemented
138#15689267C2211yescharacteristic, complemented
139#15689267C2211yescharacteristic, complemented
140#15689266C2211yescharacteristic, complemented
141#15689265C2211yescharacteristic, complemented
142#15689265C2211yescharacteristic, complemented
143#15689265C2211yescharacteristic, complemented
144#15689265C2211yescharacteristic, complemented
145#15689265C2211yescharacteristic, complemented
146#15689259C2211yescharacteristic, complemented
147#15689258C2211yescharacteristic, complemented
148#15689258C2211yescharacteristic, complemented
149#15689257C2211yescharacteristic, complemented
150#15689257C2211yescharacteristic, complemented
151#15689256C2211yescharacteristic, complemented
152#15689255C2211yescharacteristic, complemented
153#15689255C2211yescharacteristic, complemented
154#15689255C2211yescharacteristic, complemented
155#15689255C2211yescharacteristic, complemented
156#15689255C2211yescharacteristic, complemented
157#15689255C2211yescharacteristic, complemented
158#15689255C2211yescharacteristic, complemented
159#15689255C2211yescharacteristic, complemented
160#15689236C2211yescharacteristic, complemented
161#15689233C2211yescharacteristic, complemented
162#15689233C2211yescharacteristic, complemented
163D8×Dic47C2211yescharacteristic, complemented
164D8×Dic47C2211yescharacteristic, complemented
165#15689203C2211yescharacteristic, complemented
166#15689203C2211yescharacteristic, complemented
167#15689199C2211yescharacteristic, complemented
168#15689198C2211yescharacteristic, complemented
169#15689196C2211yescharacteristic, complemented
170#15689195C2211yescharacteristic, complemented
171#15689193C2211yescharacteristic, complemented
172C8×C22⋊D47C2211yescharacteristic, complemented
173(C22⋊D47)⋊C8C2211yescharacteristic, complemented
174#15689178C2211yescharacteristic, complemented
175#15689175C2211yescharacteristic, complemented
176#15689129C2211yescharacteristic, complemented
177#15689128C2211yescharacteristic, complemented
178#15689126C2211yescharacteristic, complemented
179#15689126C2211yescharacteristic, complemented
180#15689120C2211yescharacteristic, complemented
181#15689119C2211yescharacteristic, complemented
182#15689118C2211yescharacteristic, complemented
183#15689116C2211yescharacteristic, complemented
184#15689091C2211yescharacteristic, complemented
185#15689089C2211yescharacteristic, complemented
186#15689088C2211yescharacteristic, complemented
187#15689088C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C47C2211yescharacteristic, complemented
189C22×D8×C47C2211yescharacteristic, complemented
190C47×#546C2211yescharacteristic, complemented
191D42×C47C2211yescharacteristic, complemented
192C47×#496C2211yescharacteristic, complemented
193C47×#469C2211yescharacteristic, complemented
194C47×#465C2211yescharacteristic, complemented
195C47×#463C2211yescharacteristic, complemented
196C47×#459C2211yescharacteristic, complemented
197C47×#450C2211yescharacteristic, complemented
198C47×#449C2211yescharacteristic, complemented
199C47×#447C2211yescharacteristic, complemented
200C47×#447C2211yescharacteristic, complemented
201C47×#442C2211yescharacteristic, complemented
202C47×#435C2211yescharacteristic, complemented
203#13094070—42no—
204#13094070—42no—
205#13094069—42no—
206#13094069—42no—
207C2×#10625354C2311yescharacteristic
208C2×#10625354C2311yescharacteristic
209C2×#10625350—21no—
210C2×#10625350—21no—
211C2×#10625350C2311yescharacteristic
212C2×#10625350C2311yescharacteristic
213C2×#10625350C2311yescharacteristic
214C2×#10625352—21no—
215C2×#10625352—21no—
216C2×#10625352C2311yescharacteristic
217C2×#10625352C2311yescharacteristic
218C22×D188—21no—
219C22×D188C2311yescharacteristic
220C22×C22⋊D47—21no—
221C22×C22⋊D47—21no—
222C22×C22⋊D47—21no—
223C22×C22⋊D47—21no—
224C22×C22⋊D47—21no—
225C2×D4×D47—21no—
226C2×D4×D47—21no—
227C2×D4×D47—21no—
228C2×D4×D47—21no—
229C2×D4×D47—21no—
230C2×D4×D47C2311yescharacteristic
231C2×D4×D47C2311yescharacteristic
232C2×D4×D47C2311yescharacteristic
233C2×D4×D47C2311yescharacteristic
234C2×D4×D47C2311yescharacteristic
235C22×C4×D47—21no—
236#13094051—42no—
237#13094050—42no—
238#13094048—42no—
239C2×#10625325C2311yescharacteristic
240C2×#10625335C2311yescharacteristic
241C2×#10625335C2311yescharacteristic
242C2×#10625335C2311yescharacteristic
243C2×#10625336C2311yescharacteristic
244C2×D376C2311yescharacteristic
245C2×D376C2311yescharacteristic
246C2×#10625334—42no—
247C2×#10625334C2311yescharacteristic
248C2×#10625334C2311yescharacteristic
249C2×#10625334C2311yescharacteristic
250C2×#10625334C2311yescharacteristic
251C2×#10625334C2311yescharacteristic
252C2×#10625334C2311yescharacteristic
253C2×#10625334C2311yescharacteristic
254C2×#10625334C2311yescharacteristic
255D8×D47—42no—
256D8×D47—42no—
257C2×#10625329C2311yescharacteristic
258C2×#10625324C2311yescharacteristic
259C2×#10625324C2311yescharacteristic
260C22×C47⋊C8C2311yescharacteristic
261C2×C8×D47C2311yescharacteristic
262C2×C8×D47C2311yescharacteristic
263#13094024C2311yescharacteristic
264#13094023D411yescharacteristic
265#13094023C2311yescharacteristic
266#13094022C2311yescharacteristic
267#13094020—21no—
268#13094020—21no—
269#13094020—21no—
270#13094020—21no—
271#13094020D411yescharacteristic
272#13094020C2311yescharacteristic
273#13094020C2311yescharacteristic
274#13094012C2311yescharacteristic
275#13094011—21no—
276#13094011—21no—
277#13094011—21no—
278#13094011—21no—
279#13094011—21no—
280#13094010—21no—
281#13094010—21no—
282#13094010—21no—
283#13094010—21no—
284#13094010—21no—
285#13094010—21no—
286#13094010—21no—
287#13094010—21no—
288#13094010—21no—
289#13094010D411yescharacteristic
290#13094010D411yescharacteristic
291#13094009—21no—
292#13094009—21no—
293#13094008—21no—
294#13094007—21no—
295#13094006—21no—
296#13094006—21no—
297#13094005—21no—
298#13094004C2311yescharacteristic
299#13094003C2311yescharacteristic
300#13094002—21no—
301#13094001—21no—
302#13094000C2311yescharacteristic
303#13093999—21no—
304#13093999D411yescharacteristic
305#13093999C2311yescharacteristic
306#13093999C2311yescharacteristic
307#13093998—21no—
308#13093998—21no—
309#13093998C2311yescharacteristic
310#13093998C2311yescharacteristic
311#13093998C2311yescharacteristic
312#13093997—21no—
313#13093997—21no—
314#13093997—21no—
315#13093997—21no—
316#13093997—21no—
317#13093997—21no—
318#13093997—21no—
319#13093997—21no—
320#13093997—21no—
321#13093997—21no—
322#13093997D411yescharacteristic
323#13093997D411yescharacteristic
324#13093996—21no—
325#13093996—21no—
326#13093996—21no—
327#13093996—21no—
328#13093996—21no—
329#13093996—21no—
330#13093996—21no—
331#13093995—21no—
332#13093995—21no—
333#13093995—21no—
334#13093995—21no—
335#13093995D411yescharacteristic
336#13093995C2311yescharacteristic
337#13093995C2311yescharacteristic
338#13093995C2311yescharacteristic
339#13093995C2311yescharacteristic
340#13093995C2311yescharacteristic
341#13093995C2311yescharacteristic
342#13093995C2311yescharacteristic
343#13093995C2311yescharacteristic
344#13093994—21no—
345#13093994—21no—
346#13093994—21no—
347#13093994—21no—
348#13093994—21no—
349#13093993—21no—
350#13093993—21no—
351#13093993—21no—
352#13093993—21no—
353#13093993—21no—
354#13093993—21no—
355#13093993—21no—
356#13093992—21no—
357#13093992—21no—
358#13093992—21no—
359#13093992—21no—
360#13093992—21no—
361#13093992—21no—
362#13093992—21no—
363#13093992—21no—
364#13093992—21no—
365C4×D188C2311yescharacteristic
366C4×D188C2311yescharacteristic
367C4×D188C2311yescharacteristic
368D4×Dic47—21no—
369D4×Dic47C2311yescharacteristic
370D4×Dic47C2311yescharacteristic
371D4×Dic47C2311yescharacteristic
372#13093986C2311yescharacteristic
373C4×C22⋊D47—21no—
374C4×C22⋊D47—21no—
375C4×C22⋊D47C2311yescharacteristic
376C4×C22⋊D47C2311yescharacteristic
377(C22⋊D47)⋊C4—21no—
378(C22⋊D47)⋊C4—21no—
379(C22⋊D47)⋊C4—21no—
380#13093983—21no—
381#13093983C2311yescharacteristic
382#13093983C2311yescharacteristic
383#13093982—21no—
384#13093982C2311yescharacteristic
385#13093982C2311yescharacteristic
386#13093980—21no—
387#13093980—21no—
388C2×Dic47⋊C4—21no—
389C4⋊C4×D47—21no—
390C4⋊C4×D47C2311yescharacteristic
391C2×(C2×D47)⋊C4—21no—
392C22⋊C4×D47—21no—
393C22⋊C4×D47—21no—
394C22⋊C4×D47—21no—
395C42×D47C2311yescharacteristic
396#13093958C2311yescharacteristic
397#13093958C2311yescharacteristic
398#13093957C2311yescharacteristic
399#13093957C2311yescharacteristic
400#13093956C2311yescharacteristic
401#13093955C2311yescharacteristic
402#13093955C2311yescharacteristic
403C4⋊(C47⋊C8)C2311yescharacteristic
404Dic47⋊C8C2311yescharacteristic
405Dic47⋊C8C2311yescharacteristic
406#13093949C2311yescharacteristic
407#13093949C2311yescharacteristic
408#13093949C2311yescharacteristic
409#13093948C2311yescharacteristic
410#13093948C2311yescharacteristic
411#13093948C2311yescharacteristic
412#13093947C2311yescharacteristic
413#13093946C2311yescharacteristic
414#13093946C2311yescharacteristic
415#13093946C2311yescharacteristic
416#13093946C2311yescharacteristic
417#13093946C2311yescharacteristic
418#13093946C2311yescharacteristic
419#13093946C2311yescharacteristic
420#13093945C2311yescharacteristic
421#13093945C2311yescharacteristic
422#13093945C2311yescharacteristic
423#13093945C2311yescharacteristic
424#13093945C2311yescharacteristic
425#13093945C2311yescharacteristic
426#13093945C2311yescharacteristic
427#13093945C2311yescharacteristic
428#13093945C2311yescharacteristic
429#13093944C2311yescharacteristic
430#13093944C2311yescharacteristic
431#13093944C2311yescharacteristic
432C22⋊(C47⋊C8)C2311yescharacteristic
433C22⋊(C47⋊C8)C2311yescharacteristic
434(C2×D47)⋊C8C2311yescharacteristic
435(C2×D47)⋊C8C2311yescharacteristic
436(C2×D47)⋊C8C2311yescharacteristic
437(C2×D47)⋊C8C2311yescharacteristic
438(C2×D47)⋊C8C2311yescharacteristic
439(C2×D47)⋊C8C2311yescharacteristic
440(C2×D47)⋊C8C2311yescharacteristic
441(C2×D47)⋊C8C2311yescharacteristic
442#13093935C2311yescharacteristic
443C8×Dic47C2311yescharacteristic
444C8×Dic47C2311yescharacteristic
445C2×#41×C47C2311yescharacteristic
446C22×D4×C47—21no—
447C22×D4×C47C2311yescharacteristic
448C22×D4×C47C2311yescharacteristic
449C22×D4×C47C2311yescharacteristic
450AGL(1,ℤ/8)×C47—42no—
451C2×SD16×C47C2311yescharacteristic
452C2×SD16×C47C2311yescharacteristic
453C2×SD16×C47C2311yescharacteristic
454C2×D8×C47—42no—
455C2×D8×C47C2311yescharacteristic
456C2×D8×C47C2311yescharacteristic
457C2×D8×C47C2311yescharacteristic
458C2×D8×C47C2311yescharacteristic
459C2×D8×C47C2311yescharacteristic
460C2×D8×C47C2311yescharacteristic
461C2×M16×C47C2311yescharacteristic
462C22×C8×C47C2311yescharacteristic
463#127×C47C2311yescharacteristic
464#124×C47C2311yescharacteristic
465#123×C47—21no—
466C22⋊Q8×C47C2311yescharacteristic
467#121×C47—21no—
468#121×C47—21no—
469#121×C47C2311yescharacteristic
470#121×C47C2311yescharacteristic
471#121×C47C2311yescharacteristic
472#120×C47—21no—
473#120×C47—21no—
474#120×C47—21no—
475C4×D4×C47C2311yescharacteristic
476C4×D4×C47C2311yescharacteristic
477C4×D4×C47C2311yescharacteristic
478C2×C22⋊C4×C47—21no—
479#106×C47C2311yescharacteristic
480C4⋊C8×C47C2311yescharacteristic
481#103×C47C2311yescharacteristic
482#102×C47C2311yescharacteristic
483#102×C47C2311yescharacteristic
484#102×C47C2311yescharacteristic
485#102×C47C2311yescharacteristic
486#102×C47C2311yescharacteristic
487C22⋊C8×C47C2311yescharacteristic
488C22⋊C8×C47C2311yescharacteristic
489#97×C47C2311yescharacteristic
490C24×C47—21no—
491C24×C47—21no—
492C24×C47—21no—
493C23×D47—21no—
494C23×D47—21no—
495C23×D47—21no—
496C23×D47—21no—
497C23×D47—21no—
498C23×D47—21no—
499#41×C47—22no—
500#41×C47—41no—
501C2×Q8×C47C2411yescharacteristic
502C2×D4×C47—22no—
503C2×D4×C47—21no—
504C2×D4×C47—21no—
505C2×D4×C47—21no—
506C2×D4×C47—21no—
507C2×D4×C47—21no—
508C2×D4×C47—21no—
509C2×D4×C47—21no—
510C2×D4×C47—21no—
511C2×D4×C47—21no—
512C2×D4×C47—41no—
513C2×D4×C47—41no—
514C2×D4×C47—41no—
515C2×D4×C47—41no—
516C2×D4×C47—41no—
517C2×D4×C47—82no—
518C2×D4×C47C2×D411yescharacteristic
519C2×D4×C47C2411yescharacteristic
520C2×D4×C47C2411yescharacteristic
521C2×D4×C47C2411yescharacteristic
522C2×D4×C47C2411yescharacteristic
523C2×D4×C47C2411yescharacteristic
524C22×C4×C47—21no—
525C22×C4×C47—21no—
526C22×C4×C47—21no—
527C22×C4×C47C2411yescharacteristic
528C22×C4×C47C2411yescharacteristic
529C2×C22⋊D47—21no—
530C2×C22⋊D47—21no—
531C2×C22⋊D47—21no—
532C2×C22⋊D47—21no—
533C2×C22⋊D47—21no—
534C2×C22⋊D47—21no—
535C2×C22⋊D47—21no—
536C2×C22⋊D47—21no—
537C2×C22⋊D47—21no—
538C2×C22⋊D47—21no—
539C2×C22⋊D47—21no—
540C2×C22⋊D47—21no—
541C2×C22⋊D47—21no—
542C2×C22⋊D47—21no—
543C2×C22⋊D47—21no—
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—44no—
553C2×C22⋊D47—44no—
554C2×C22⋊D47—82no—
555C2×C22⋊D47—82no—
556C2×C22⋊D47—82no—
557C2×C22⋊D47C2×D411yescharacteristic
558C2×C22⋊D47C2×D411yescharacteristic
559C2×C22⋊D47C2×D411yescharacteristic
560C2×C22⋊D47C2×D411yescharacteristic
561C2×C22⋊D47C2×D411yescharacteristic
562C2×C22⋊D47C2×D411yescharacteristic
563C22×Dic47—21no—
564C22×Dic47—21no—
565C22×Dic47—21no—
566C22×Dic47—21no—
567C22×Dic47—21no—
568#10625354—22no—
569#10625354—41no—
570#10625354—41no—
571#10625354—41no—
572#10625352—22no—
573#10625352—41no—
574#10625352—41no—
575#10625352—41no—
576#10625352—44no—
577#10625352—82no—
578D4×D47—22no—
579D4×D47—22no—
580D4×D47—22no—
581D4×D47—22no—
582D4×D47—41no—
583D4×D47—41no—
584D4×D47—41no—
585D4×D47—41no—
586D4×D47—41no—
587D4×D47—41no—
588D4×D47—44no—
589D4×D47—44no—
590D4×D47—44no—
591D4×D47—82no—
592D4×D47—82no—
593#10625350—22no—
594#10625350—41no—
595#10625350—41no—
596#10625350—41no—
597#10625350—41no—
598#10625350—41no—
599#10625350—44no—
600#10625350—82no—
601C2×D188—22no—
602C2×D188—21no—
603C2×D188—21no—
604C2×D188—21no—
605C2×D188—21no—
606C2×D188—21no—
607C2×D188—41no—
608C2×D188—44no—
609C2×D188C2×D411yescharacteristic
610C2×D188C2×D411yescharacteristic
611C2×D188C2×D411yescharacteristic
612C2×D188C2411yescharacteristic
613C2×D188C2411yescharacteristic
614C2×D188C2411yescharacteristic
615C2×C4×D47—21no—
616C2×C4×D47—21no—
617C2×C4×D47—21no—
618C2×C4×D47—21no—
619C2×C4×D47—21no—
620C2×C4×D47—21no—
621C2×C4×D47—21no—
622C2×C4×D47—82no—
623C2×C4×D47C2×D411yescharacteristic
624C2×C4×D47C2×D411yescharacteristic
625C2×C4×D47C2411yescharacteristic
626C2×C4×D47C2411yescharacteristic
627C2×C4×D47C2411yescharacteristic
628C2×Dic94—21no—
629C2×Dic94—21no—
630C2×Dic94C2×D411yescharacteristic
631C2×Dic94C2×D411yescharacteristic
632C2×Dic94C2411yescharacteristic
633SD16×C47—41no—
634SD16×C47—41no—
635SD16×C47—41no—
636D8×C47—22no—
637D8×C47—22no—
638D8×C47—22no—
639D8×C47—41no—
640D8×C47—41no—
641D8×C47—41no—
642M16×C47—41no—
643C2×C8×C47—41no—
644C2×C8×C47C2411yescharacteristic
645C2×C8×C47C2411yescharacteristic
646C2×C8×C47C2411yescharacteristic
647C2×C8×C47C2411yescharacteristic
648C4⋊C4×C47—21no—
649C4⋊C4×C47C2×D411yescharacteristic
650C4⋊C4×C47C2411yescharacteristic
651C4⋊C4×C47C2411yescharacteristic
652C22⋊C4×C47—21no—
653C22⋊C4×C47—21no—
654C22⋊C4×C47—21no—
655C22⋊C4×C47—21no—
656C22⋊C4×C47—21no—
657C22⋊C4×C47—21no—
658C22⋊C4×C47—21no—
659C22⋊C4×C47—21no—
660C22⋊C4×C47C2×D411yescharacteristic
661C22⋊C4×C47C2×D411yescharacteristic
662C42×C47C2411yescharacteristic
663C22⋊Dic47—21no—
664C22⋊Dic47—21no—
665C22⋊Dic47—21no—
666C22⋊Dic47—21no—
667C22⋊Dic47—21no—
668C22⋊Dic47—21no—
669C22⋊Dic47—21no—
670C22⋊Dic47—21no—
671C22⋊Dic47—21no—
672C22⋊Dic47—21no—
673C22⋊Dic47—21no—
674C22⋊Dic47—21no—
675C22⋊Dic47—21no—
676C22⋊Dic47—21no—
677C22⋊Dic47C2×D411yescharacteristic
678C22⋊Dic47C2×D411yescharacteristic
679#10625336—41no—
680#10625335—41no—
681#10625335—41no—
682#10625335—41no—
683#10625334—22no—
684#10625334—22no—
685#10625334—22no—
686#10625334—22no—
687#10625334—41no—
688#10625334—41no—
689#10625334—41no—
690#10625334—41no—
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)⋊C4—21no—
703(C2×D47)⋊C4—21no—
704(C2×D47)⋊C4—21no—
705(C2×D47)⋊C4C2×D411yescharacteristic
706(C2×D47)⋊C4C2×D411yescharacteristic
707(C2×D47)⋊C4C2×D411yescharacteristic
708(C2×D47)⋊C4C2×D411yescharacteristic
709C4⋊Dic47—21no—
710C4⋊Dic47—21no—
711C4⋊Dic47C2×D411yescharacteristic
712C4⋊Dic47C2411yescharacteristic
713C4⋊Dic47C2411yescharacteristic
714C4⋊Dic47C2411yescharacteristic
715C4⋊Dic47C2411yescharacteristic
716Dic47⋊C4—21no—
717Dic47⋊C4—21no—
718Dic47⋊C4—21no—
719Dic47⋊C4—21no—
720Dic47⋊C4—21no—
721Dic47⋊C4—21no—
722Dic47⋊C4C2×D411yescharacteristic
723Dic47⋊C4C2×D411yescharacteristic
724C4×Dic47—21no—
725C4×Dic47—21no—
726C4×Dic47—21no—
727C4×Dic47—21no—
728C4×Dic47C2×D411yescharacteristic
729C4×Dic47C2×D411yescharacteristic
730C4×Dic47C2411yescharacteristic
731#10625329—41no—
732C2×C47⋊C8—41no—
733C2×C47⋊C8C2411yescharacteristic
734C2×C47⋊C8C2411yescharacteristic
735C2×C47⋊C8C2411yescharacteristic
736C2×C47⋊C8C2411yescharacteristic
737D376—22no—
738D376—41no—
739#10625325—41no—
740#10625324—41no—
741#10625324—41no—
742C8×D47—41no—
743C8×D47—41no—
744C23×C47—21no—
745C23×C47—21no—
746C23×C47—21no—
747C23×C47—21no—
748C23×C47—21no—
749C23×C47—42no—
750C23×C47—81no—
751C23×C47—81no—
752C23×C47—81no—
753C23×C47—81no—
754C23×C47—81no—
755C23×C47—81no—
756C23×C47—81no—
757C23×C47—81no—
758C23×C47C22×D411yescharacteristic
759C23×C47C22×D411yescharacteristic
760C22×D47—21no—
761C22×D47—24no—
762C22×D47—21no—
763C22×D47—21no—
764C22×D47—42no—
765C22×D47—42no—
766C22×D47—42no—
767C22×D47—81no—
768C22×D47—81no—
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×D47C22×D411yescharacteristic
782C22×D47C22×D411yescharacteristic
783C22×D47C22×D411yescharacteristic
784Q8×C47—21no—
785Q8×C47—21no—
786D4×C47—21no—
787D4×C47—21no—
788D4×C47—21no—
789D4×C47—21no—
790D4×C47—21no—
791D4×C47—21no—
792D4×C47—21no—
793D4×C47—21no—
794D4×C47—21no—
795D4×C47—41no—
796D4×C47—42no—
797D4×C47—42no—
798D4×C47—42no—
799D4×C47—81no—
800D4×C47—81no—
801D4×C47—81no—
802D4×C47—81no—
803D4×C47—81no—
804D4×C47—81no—
805D4×C47H(5,𝔽2)12yes—
806C2×C4×C47—21no—
807C2×C4×C47—21no—
808C2×C4×C47—21no—
809C2×C4×C47—21no—
810C2×C4×C47—21no—
811C2×C4×C47—21no—
812C2×C4×C47—21no—
813C2×C4×C47—42no—
814C2×C4×C47—42no—
815C2×C4×C47—81no—
816C2×C4×C47C22×D411yescharacteristic
817C2×C4×C47C22×D411yescharacteristic
818C2×C4×C47C22×D411yescharacteristic
819C2×C4×C47C22×D411yescharacteristic
820C2×C4×C47C2511yescharacteristic
821C22⋊D47—24no—
822C22⋊D47—22no—
823C22⋊D47—22no—
824C22⋊D47—41no—
825C22⋊D47—41no—
826C22⋊D47—41no—
827C22⋊D47—41no—
828C22⋊D47—42no—
829C22⋊D47—42no—
830C22⋊D47—42no—
831C22⋊D47—42no—
832C22⋊D47—42no—
833C22⋊D47—42no—
834C22⋊D47—42no—
835C22⋊D47—81no—
836C22⋊D47—81no—
837C22⋊D47—81no—
838C22⋊D47—81no—
839C22⋊D47—81no—
840C22⋊D47—81no—
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—
850C2×Dic47—21no—
851C2×Dic47—21no—
852C2×Dic47—21no—
853C2×Dic47—21no—
854C2×Dic47—21no—
855C2×Dic47—42no—
856C2×Dic47—42no—
857C2×Dic47—42no—
858C2×Dic47—42no—
859C2×Dic47—42no—
860C2×Dic47C22×D411yescharacteristic
861C2×Dic47C22×D411yescharacteristic
862C2×Dic47C22×D411yescharacteristic
863C2×Dic47C22×D411yescharacteristic
864C2×Dic47C22×D411yescharacteristic
865D188—21no—
866D188—21no—
867D188—21no—
868D188—21no—
869D188—21no—
870D188—41no—
871D188—41no—
872D188—41no—
873D188—42no—
874D188—42no—
875D188—42no—
876D188—81no—
877D188—81no—
878D188H(5,𝔽2)12yes—
879C4×D47—21no—
880C4×D47—21no—
881C4×D47—21no—
882C4×D47—21no—
883C4×D47—21no—
884C4×D47—21no—
885C4×D47—22no—
886C4×D47—41no—
887C4×D47—42no—
888C4×D47—42no—
889C4×D47—42no—
890C4×D47—42no—
891C4×D47—42no—
892C4×D47—81no—
893C4×D47—81no—
894Dic94—21no—
895Dic94—21no—
896Dic94—41no—
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—22no—
912C22×C47—21no—
913C22×C47—21no—
914C22×C47—21no—
915C22×C47—21no—
916C22×C47—41no—
917C22×C47—41no—
918C22×C47—41no—
919C22×C47—41no—
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—162no—
931C22×C47—162no—
932C22×C47—162no—
933C22×C47C23×D411yescharacteristic
934C2×D47—21no—
935C2×D47—21no—
936C2×D47—21no—
937C2×D47—21no—
938C2×D47—21no—
939C2×D47—21no—
940C2×D47—22no—
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—84no—
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—21no—
962C4×C47—41no—
963C4×C47—41no—
964C4×C47—41no—
965C4×C47C2×H(5,𝔽2)11yescharacteristic
966C4×C47C2×H(5,𝔽2)11yescharacteristic
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#3264D4711yescharacteristic, complemented
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#3008—471no—
1007#2981—471no—
1008C2×C47—42no—
1009C2×C47—41no—
1010C2×C47—41no—
1011C2×C47—81no—
1012C2×C47—81no—
1013C2×C47—81no—
1014C2×C47—81no—
1015C2×C47#348411yescharacteristic
1016C2×C47C2×#57611yescharacteristic
1017C2×C47#358511yescharacteristic
1018D47—41no—
1019D47—41no—
1020D47—41no—
1021D47—42no—
1022D47—81no—
1023D47—81no—
1024C2×H(5,𝔽2)—471no—
1025C2×H(5,𝔽2)—471no—
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—941no—
1048#546—941no—
1049#546C2×D4711yescharacteristic, complemented
1050D42—471no—
1051D42—471no—
1052D42—471no—
1053D42—471no—
1054D42—471no—
1055D42—941no—
1056D42—941no—
1057D42C2×D4711yescharacteristic, complemented
1058#537—471no—
1059#537—471no—
1060#535—471no—
1061#535—471no—
1062#535—471no—
1063#535—471no—
1064#535—941no—
1065#535—941no—
1066#535—941no—
1067#535—941no—
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#496C2×D4711yescharacteristic, complemented
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#469C2×D4711yescharacteristic, complemented
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#465C2×D4711yescharacteristic, complemented
1117#463—471no—
1118#463—471no—
1119#463—471no—
1120#463C2×D4711yescharacteristic, complemented
1121#461—471no—
1122#461—471no—
1123#459—471no—
1124#459—471no—
1125#459—471no—
1126#459—471no—
1127#459—471no—
1128#459C2×D4711yescharacteristic, complemented
1129#450—471no—
1130#450—471no—
1131#450—471no—
1132#450C2×D4711yescharacteristic, complemented
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#449—471no—
1146#449—471no—
1147#449—471no—
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#447—471no—
1162#447—471no—
1163#447C2×D4711yescharacteristic, complemented
1164#447C2×D4711yescharacteristic, complemented
1165#442—471no—
1166#442—471no—
1167#442—471no—
1168#442C2×D4711yescharacteristic, complemented
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#435C2×D4711yescharacteristic, complemented
1179C8×D4—471no—
1180C8×D4—471no—
1181#432—471no—
1182#431—471no—
1183#418—471no—
1184#418—471no—
1185#418—471no—
1186#418—471no—
1187#416—471no—
1188#416—471no—
1189#416—471no—
1190#416—471no—
1191#408—471no—
1192#408—471no—
1193#408—471no—
1194#408—471no—
1195C47#6167911yescharacteristic, complemented, Sylow
1196H(5,𝔽2)—1882no—
1197H(5,𝔽2)—1882no—
1198H(5,𝔽2)—1882no—
1199H(5,𝔽2)—1882no—
1200C2×#41—471no—
1201C2×#41—471no—
1202C2×#41—471no—
1203C2×#41—471no—
1204C2×#41—471no—
1205C2×#41—471no—
1206C2×#41—471no—
1207C2×#41—941no—
1208C2×#41—941no—
1209C2×#41—941no—
1210C2×#41—941no—
1211C2×#41C22×D4711yescharacteristic
1212C22×D4—21no—
1213C22×D4—471no—
1214C22×D4—471no—
1215C22×D4—471no—
1216C22×D4—471no—
1217C22×D4—471no—
1218C22×D4—471no—
1219C22×D4—941no—
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×D4—941no—
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×SD16C22×D4711yescharacteristic
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—471no—
1279#127—471no—
1280#127—471no—
1281#127—941no—
1282#127—941no—
1283#127—941no—
1284#127—941no—
1285#127C22×D4711yescharacteristic
1286#124—471no—
1287#124—471no—
1288#124—471no—
1289#124—941no—
1290#124—941no—
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#124C22×D4711yescharacteristic
1304#123—21no—
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—941no—
1316C22⋊Q8—941no—
1317C22⋊Q8C22×D4711yescharacteristic
1318#121—21no—
1319#121—21no—
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—471no—
1335#121—471no—
1336#121—471no—
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#121—941no—
1361#121C22×D4711yescharacteristic
1362#121C22×D4711yescharacteristic
1363#121C22×D4711yescharacteristic
1364#120—21no—
1365#120—21no—
1366#120—21no—
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—941no—
1398C4×D4—941no—
1399C4×D4—941no—
1400C4×D4—941no—
1401C4×D4—941no—
1402C4×D4—941no—
1403C4×D4C22×D4711yescharacteristic
1404C4×D4C22×D4711yescharacteristic
1405C4×D4C22×D4711yescharacteristic
1406#117—471no—
1407#117—471no—
1408#117—471no—
1409#117—471no—
1410#117—941no—
1411#117—941no—
1412#117—941no—
1413#117—941no—
1414C2×C4⋊C4—471no—
1415C2×C4⋊C4—941no—
1416C2×C4⋊C4—941no—
1417C2×C22⋊C4—21no—
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#106C22×D4711yescharacteristic
1431C4⋊C8—471no—
1432C4⋊C8—471no—
1433C4⋊C8—471no—
1434C4⋊C8C22×D4711yescharacteristic
1435#103—471no—
1436#103—471no—
1437#103—471no—
1438#103—471no—
1439#103—471no—
1440#103—471no—
1441#103—471no—
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#102—471no—
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⋊C8—471no—
1476C22⋊C8—471no—
1477C22⋊C8C22×D4711yescharacteristic
1478C22⋊C8C22×D4711yescharacteristic
1479#97—471no—
1480#97C22×D4711yescharacteristic
1481C4×C8—471no—
1482C4×C8—471no—
1483C24—21no—
1484C24—21no—
1485C24—21no—
1486C24—941no—
1487C24—941no—
1488C24—941no—
1489C24—941no—
1490C24—941no—
1491C24—941no—
1492#41—22no—
1493#41—41no—
1494#41—942no—
1495#41—942no—
1496#41—942no—
1497#41—3762no—
1498#41—3762no—
1499#41—1881no—
1500#41—1881no—
1501#41—1881no—
1502#41—1881no—
1503#41—1881no—
1504#41—1884no—
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—471no—
1515C2×Q8—941no—
1516C2×Q8—941no—
1517C2×Q8C23×D4711yescharacteristic
1518C2×D4—22no—
1519C2×D4—21no—
1520C2×D4—21no—
1521C2×D4—21no—
1522C2×D4—21no—
1523C2×D4—21no—
1524C2×D4—21no—
1525C2×D4—21no—
1526C2×D4—21no—
1527C2×D4—21no—
1528C2×D4—41no—
1529C2×D4—41no—
1530C2×D4—41no—
1531C2×D4—41no—
1532C2×D4—41no—
1533C2×D4—82no—
1534C2×D4—471no—
1535C2×D4—471no—
1536C2×D4—471no—
1537C2×D4—471no—
1538C2×D4—471no—
1539C2×D4—471no—
1540C2×D4—471no—
1541C2×D4—471no—
1542C2×D4—471no—
1543C2×D4—471no—
1544C2×D4—471no—
1545C2×D4—471no—
1546C2×D4—942no—
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—941no—
1556C2×D4—941no—
1557C2×D4—941no—
1558C2×D4—941no—
1559C2×D4—941no—
1560C2×D4—942no—
1561C2×D4—942no—
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—941no—
1579C2×D4—3762no—
1580C2×D4—3762no—
1581C2×D4—3762no—
1582C2×D4—3762no—
1583C2×D4—3762no—
1584C2×D4—1881no—
1585C2×D4—1884no—
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×D4—1884no—
1596C2×D4—1884no—
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—471no—
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—941no—
1623C22×C4—3762no—
1624C22×C4C23×D4711yescharacteristic
1625C22×C4C23×D4711yescharacteristic
1626SD16—41no—
1627SD16—41no—
1628SD16—41no—
1629SD16—1881no—
1630SD16—1881no—
1631SD16—1881no—
1632SD16—1881no—
1633SD16—1881no—
1634D8—22no—
1635D8—22no—
1636D8—22no—
1637D8—41no—
1638D8—41no—
1639D8—41no—
1640D8—942no—
1641D8—942no—
1642D8—942no—
1643D8—942no—
1644D8—942no—
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—21no—
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⋊C4D4×D4711yescharacteristic
1683C4⋊C4C23×D4711yescharacteristic
1684C4⋊C4C23×D4711yescharacteristic
1685C22⋊C4—21no—
1686C22⋊C4—21no—
1687C22⋊C4—21no—
1688C22⋊C4—21no—
1689C22⋊C4—21no—
1690C22⋊C4—21no—
1691C22⋊C4—21no—
1692C22⋊C4—21no—
1693C22⋊C4—471no—
1694C22⋊C4—471no—
1695C22⋊C4—471no—
1696C22⋊C4—471no—
1697C22⋊C4—471no—
1698C22⋊C4—471no—
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⋊C4D4×D4711yescharacteristic
1728C22⋊C4D4×D4711yescharacteristic
1729C42—471no—
1730C42—471no—
1731C42—471no—
1732C42—941no—
1733C42—941no—
1734C42—941no—
1735C42—941no—
1736C42C23×D4711yescharacteristic
1737C23—21no—
1738C23—21no—
1739C23—21no—
1740C23—21no—
1741C23—21no—
1742C23—42no—
1743C23—81no—
1744C23—81no—
1745C23—81no—
1746C23—81no—
1747C23—81no—
1748C23—81no—
1749C23—81no—
1750C23—81no—
1751C23—471no—
1752C23—471no—
1753C23—471no—
1754C23—944no—
1755C23—941no—
1756C23—941no—
1757C23—941no—
1758C23—3761no—
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—
1774C23—1882no—
1775C23C2×D4×D4711yescharacteristic
1776C23C2×D4×D4711yescharacteristic
1777Q8—21no—
1778Q8—21no—
1779Q8—941no—
1780Q8—941no—
1781Q8—3761no—
1782Q8—3761no—
1783Q8—1881no—
1784Q8—1881no—
1785D4—21no—
1786D4—21no—
1787D4—21no—
1788D4—21no—
1789D4—21no—
1790D4—21no—
1791D4—21no—
1792D4—21no—
1793D4—21no—
1794D4—41no—
1795D4—42no—
1796D4—42no—
1797D4—42no—
1798D4—81no—
1799D4—81no—
1800D4—81no—
1801D4—81no—
1802D4—81no—
1803D4—81no—
1804D4—472no—
1805D4—942no—
1806D4—942no—
1807D4—944no—
1808D4—941no—
1809D4—941no—
1810D4—941no—
1811D4—941no—
1812D4—941no—
1813D4—3761no—
1814D4—3761no—
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—1881no—
1831D4—1881no—
1832D4—1881no—
1833D4—1882no—
1834D4—1882no—
1835D4—1882no—
1836D4—1882no—
1837D4—1882no—
1838D4—1881no—
1839D4—1881no—
1840D4—1881no—
1841D4—1881no—
1842D4—1882no—
1843D4—1882no—
1844D4—1882no—
1845D4—1882no—
1846D4—1882no—
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—42no—
1856C2×C4—42no—
1857C2×C4—81no—
1858C2×C4—471no—
1859C2×C4—471no—
1860C2×C4—471no—
1861C2×C4—471no—
1862C2×C4—471no—
1863C2×C4—942no—
1864C2×C4—941no—
1865C2×C4—941no—
1866C2×C4—941no—
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—3761no—
1876C2×C4—3761no—
1877C2×C4—1881no—
1878C2×C4—1882no—
1879C2×C4—1882no—
1880C2×C4—1882no—
1881C2×C4—1882no—
1882C2×C4—1882no—
1883C2×C4—1882no—
1884C2×C4—1882no—
1885C2×C4—1882no—
1886C2×C4—1882no—
1887C2×C4—1882no—
1888C2×C4C2×D4×D4711yescharacteristic
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—22no—
1908C22—41no—
1909C22—41no—
1910C22—41no—
1911C22—41no—
1912C22—41no—
1913C22—41no—
1914C22—41no—
1915C22—41no—
1916C22—41no—
1917C22—41no—
1918C22—41no—
1919C22—41no—
1920C22—41no—
1921C22—41no—
1922C22—162no—
1923C22—162no—
1924C22—162no—
1925C22—941no—
1926C22—941no—
1927C22—941no—
1928C22—941no—
1929C22—941no—
1930C22—941no—
1931C22—941no—
1932C22—941no—
1933C22—941no—
1934C22—942no—
1935C22—3764no—
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—21no—
1954C4—41no—
1955C4—41no—
1956C4—41no—
1957C4—472no—
1958C4—941no—
1959C4—941no—
1960C4—941no—
1961C4—941no—
1962C4—1881no—
1963C4—1881no—
1964C4—1881no—
1965C4—1881no—
1966C4—1881no—
1967C4H(5,𝔽2)×D4711yescharacteristic
1968C4C2×#1309406911yescharacteristic
1969C2—41no—
1970C2—41no—
1971C2—42no—
1972C2—81no—
1973C2—81no—
1974C2—81no—
1975C2—81no—
1976C2—3761no—
1977C2—3761no—
1978C2—1881no—
1979C2—1881no—
1980C2—1881no—
1981C2—1882no—
1982C2#2025701611yescharacteristic
1983C2#576×D4711yescharacteristic
1984C2#2025816411yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3264C2
socleC22×C47C23×D4
hypercenter#3264D47
hypocenterC47#61679
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3264

Complements

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

NH ≅ G/Ntype
1. #20257790C2semidirect
2. #20257148C2semidirect
3. #20255625C2semidirect
4. #20255623C2semidirect
5. #20255551C2semidirect
6. #20255549C2semidirect
7. #20255546C2semidirect
8. #20255544C2semidirect
9. #20255311C2semidirect
10. #20255309C2semidirect
11. D8×C22⋊D47C2semidirect
12. #20255058C2semidirect
13. #20254986C2semidirect
14. #20254982C2semidirect
15. #20254867C2semidirect
16. #20254864C2semidirect
17. #20254863C2semidirect
18. #20254378C2semidirect
19. #20254320C2semidirect
20. #20254244C2semidirect
21. #20254243C2semidirect
22. #20254236C2semidirect
23. #20254235C2semidirect
24. #20253477C2semidirect
25. #20253387C2semidirect
26. #20252655C2semidirect
27. #20252653C2semidirect
28. #20252652C2semidirect
29. #20252651C2semidirect
30. #20252460C2semidirect
31. C47×#3264C2semidirect
32. C2×#13094070C22semidirect
33. C2×#13094069C22semidirect
34. C2×#13094051C22semidirect
35. C2×#13094050C22semidirect
36. C2×#13094048C22semidirect
37. C22×#10625334C22semidirect
38. C2×D8×D47C22semidirect
39. C2×D8×D47C22semidirect
42. #15689838C22semidirect
43. #15689838C22semidirect
45. #15689837C22semidirect
46. #15689837C22semidirect
47. #15689775C22semidirect
48. #15689772C22semidirect
50. #15689769C22semidirect
51. #15689768C22semidirect
52. #15689766C22semidirect
55. #15689758C22semidirect
56. #15689757C22semidirect
58. D4×C22⋊D47C22semidirect
59. D4×C22⋊D47C22semidirect
60. D4×C22⋊D47C22semidirect
62. #15689703C22semidirect
63. #15689702C22semidirect
65. #15689690C22semidirect
66. #15689690C22semidirect
68. #15689689C22semidirect
69. #15689689C22semidirect
74. #15689672C22semidirect
75. #15689671C22semidirect
77. #15689670C22semidirect
80. C4×D4×D47C22semidirect
81. #15689510C22semidirect
82. #15689498C22semidirect
83. #15689494C22semidirect
84. #15689483C22semidirect
85. #15689482C22semidirect
86. #15689472C22semidirect
87. #15689468C22semidirect
88. #15689467C22semidirect
89. #15689465C22semidirect
90. #15689463C22semidirect
91. #15689461C22semidirect
92. #15689449C22semidirect
93. #15689448C22semidirect
94. #15689445C22semidirect
95. #15689444C22semidirect
96. #15689443C22semidirect
97. #15689440C22semidirect
98. #15689435C22semidirect
99. #15689435C22semidirect
100. #15689412C22semidirect
101. #15689411C22semidirect
102. #15689404C22semidirect
103. #15689403C22semidirect
104. #15689375C22semidirect
105. #15689374C22semidirect
106. #15689373C22semidirect
107. #15689371C22semidirect
108. #15689369C22semidirect
109. #15689368C22semidirect
110. #15689366C22semidirect
111. #15689359C22semidirect
112. #15689358C22semidirect
113. #15689357C22semidirect
114. #15689356C22semidirect
115. #15689351C22semidirect
116. #15689350C22semidirect
117. #15689349C22semidirect
118. #15689339C22semidirect
119. #15689338C22semidirect
120. #15689335C22semidirect
121. #15689326C22semidirect
122. #15689326C22semidirect
123. #15689317C22semidirect
124. #15689316C22semidirect
125. #15689316C22semidirect
126. #15689316C22semidirect
127. #15689315C22semidirect
128. #15689275C22semidirect
129. #15689274C22semidirect
130. #15689272C22semidirect
131. #15689271C22semidirect
132. #15689270C22semidirect
133. #15689269C22semidirect
134. #15689268C22semidirect
135. #15689267C22semidirect
136. #15689267C22semidirect
137. #15689267C22semidirect
138. #15689267C22semidirect
139. #15689267C22semidirect
140. #15689266C22semidirect
141. #15689265C22semidirect
142. #15689265C22semidirect
143. #15689265C22semidirect
144. #15689265C22semidirect
145. #15689265C22semidirect
146. #15689259C22semidirect
147. #15689258C22semidirect
148. #15689258C22semidirect
149. #15689257C22semidirect
150. #15689257C22semidirect
151. #15689256C22semidirect
152. #15689255C22semidirect
153. #15689255C22semidirect
154. #15689255C22semidirect
155. #15689255C22semidirect
156. #15689255C22semidirect
157. #15689255C22semidirect
158. #15689255C22semidirect
159. #15689255C22semidirect
160. #15689236C22semidirect
161. #15689233C22semidirect
162. #15689233C22semidirect
163. D8×Dic47C22semidirect
164. D8×Dic47C22semidirect
165. #15689203C22semidirect
166. #15689203C22semidirect
167. #15689199C22semidirect
168. #15689198C22semidirect
169. #15689196C22semidirect
170. #15689195C22semidirect
171. #15689193C22semidirect
172. C8×C22⋊D47C22semidirect
173. (C22⋊D47)⋊C8C22semidirect
174. #15689178C22semidirect
175. #15689175C22semidirect
176. #15689129C22semidirect
177. #15689128C22semidirect
178. #15689126C22semidirect
179. #15689126C22semidirect
180. #15689120C22semidirect
181. #15689119C22semidirect
182. #15689118C22semidirect
183. #15689116C22semidirect
184. #15689091C22semidirect
185. #15689089C22semidirect
186. #15689088C22semidirect
187. #15689088C22semidirect
188. C2×AGL(1,ℤ/8)×C47C22semidirect
189. C22×D8×C47C22semidirect
190. C47×#546C22semidirect
191. D42×C47C22semidirect
192. C47×#496C22semidirect
193. C47×#469C22semidirect
194. C47×#465C22semidirect
195. C47×#463C22semidirect
196. C47×#459C22semidirect
197. C47×#450C22semidirect
198. C47×#449C22semidirect
199. C47×#447C22semidirect
200. C47×#447C22semidirect
201. C47×#442C22semidirect
202. C47×#435C22semidirect
994. #3264D47semidirect
1029. C2×AGL(1,ℤ/8)C2×D47semidirect
1033. C22×D8C2×D47semidirect
1049. #546C2×D47semidirect
1057. D42C2×D47semidirect
1078. #496C2×D47semidirect
1104. #469C2×D47semidirect
1116. #465C2×D47semidirect
1120. #463C2×D47semidirect
1128. #459C2×D47semidirect
1132. #450C2×D47semidirect
1148. #449C2×D47semidirect
1163. #447C2×D47semidirect
1164. #447C2×D47semidirect
1168. #442C2×D47semidirect
1178. #435C2×D47semidirect
1195. C47#61679semidirect

Maximal subgroups

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

subgroupindex
#202577902
#202571482
#202556252
#202556232
#202555512
#202555492
#202555462
#202555442
#202553112
#202553092
D8×C22⋊D472
#202550582
#202549862
#202549822
#202548672
#202548642
#202548632
#202543782
#202543202
#202542442
#202542432
#202542362
#202542352
#202534772
#202533872
#202526552
#202526532
#202526522
#202526512
#202524602
C47×#32642
#6167947