Finite Group Databasebeta

← #27102400

Subgroups — #27102400

Order 12032.

2146 conjugacy classes of subgroups.

The subgroup lattice has 1916 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257619C211yesmaximal, characteristic, complemented
2#20257034C211yesmaximal, characteristic, complemented
3#20255564C211yesmaximal, characteristic, complemented
4#20255563C211yesmaximal, characteristic, complemented
5#20255561C211yesmaximal, characteristic, complemented
6#20255554C211yesmaximal, characteristic, complemented
7#20255297C211yesmaximal, characteristic, complemented
8#20255296C211yesmaximal, characteristic, complemented
9#20255290C211yesmaximal, characteristic, complemented
10#20255283C211yesmaximal, characteristic, complemented
11#20255082C211yesmaximal, characteristic, complemented
12D4×#10625335C211yesmaximal, characteristic, complemented
13#20255079C211yesmaximal, characteristic, complemented
14SD16×C22⋊D47C211yesmaximal, characteristic, complemented
15#20254887C211yesmaximal, characteristic, complemented
16#20254882C211yesmaximal, characteristic, complemented
17#20254877C211yesmaximal, characteristic, complemented
18#20254446C211yesmaximal, characteristic, complemented
19#20254444C211yesmaximal, characteristic, complemented
20#20254257C211yesmaximal, characteristic, complemented
21#20254256C211yesmaximal, characteristic, complemented
22#20254150C211yesmaximal, characteristic, complemented
23#20254148C211yesmaximal, characteristic, complemented
24#20253678C211yesmaximal, characteristic, complemented
25#20253677C211yesmaximal, characteristic, complemented
26#20252673C211yesmaximal, characteristic, complemented
27#20252671C211yesmaximal, characteristic, complemented
28C2×#15689260C211yesmaximal, characteristic, complemented
29#448×D47C211yesmaximal, characteristic, complemented
30#20252439C211yesmaximal, characteristic, complemented
31C47×#3265C211yesmaximal, characteristic, complemented
32C2×#13094071C2211yescharacteristic, complemented
33C22×Q8×D47C2211yescharacteristic, complemented
34C2×#13094048C2211yescharacteristic, complemented
35C22×#10625335C2211yescharacteristic, complemented
36C22×#10625335C2211yescharacteristic, complemented
37C2×SD16×D47C2211yescharacteristic, complemented
38C2×SD16×D47C2211yescharacteristic, complemented
39C2×SD16×D47C2211yescharacteristic, complemented
40#15689862—21no—
41#15689861—21no—
42#15689825C2211yescharacteristic
43#15689823C2211yescharacteristic
44#15689820C2211yescharacteristic
45#15689819C2211yescharacteristic
46Q8×D188C2211yescharacteristic, complemented
47D4×Dic94—21no—
48D4×Dic94C2211yescharacteristic, complemented
49Q8×C22⋊D47C2211yescharacteristic, complemented
50#15689786—21no—
51#15689786C2211yescharacteristic, complemented
52#15689781—21no—
53#15689781C2211yescharacteristic, complemented
54#15689780C2211yescharacteristic, complemented
55#15689779—21no—
56#15689779C2211yescharacteristic, complemented
57#15689758C2211yescharacteristic
58D4×C22⋊D47—21no—
59D4×C22⋊D47C2211yescharacteristic
60D4×C22⋊D47C2211yescharacteristic
61#15689755—21no—
62#15689727C2211yescharacteristic
63#15689724C2211yescharacteristic
64#15689708—21no—
65#15689705—21no—
66#15689696—21no—
67#15689696C2211yescharacteristic, complemented
68#15689693—21no—
69#15689693C2211yescharacteristic, complemented
70#15689690C2211yescharacteristic
71#15689689C2211yescharacteristic
72#15689683—21no—
73#15689682—21no—
74#15689633—21no—
75#15689633C2211yescharacteristic, complemented
76#15689632—21no—
77#15689632C2211yescharacteristic
78C2×#13093995C2211yescharacteristic
79#121×D47C2211yescharacteristic
80#15689599C2211yescharacteristic, complemented
81#15689511C2211yescharacteristic, complemented
82#15689495C2211yescharacteristic, complemented
83#15689494C2211yescharacteristic, complemented
84#15689492C2211yescharacteristic, complemented
85#15689490C2211yescharacteristic, complemented
86#15689477C2211yescharacteristic, complemented
87#15689476C2211yescharacteristic, complemented
88#15689466C2211yescharacteristic, complemented
89#15689465C2211yescharacteristic, complemented
90#15689463C2211yescharacteristic, complemented
91#15689461C2211yescharacteristic, complemented
92#15689460C2211yescharacteristic, complemented
93#15689459C2211yescharacteristic, complemented
94#15689450C2211yescharacteristic, complemented
95#15689446C2211yescharacteristic, complemented
96#15689445C2211yescharacteristic, complemented
97#15689445C2211yescharacteristic, complemented
98#15689440C2211yescharacteristic, complemented
99#15689439C2211yescharacteristic, complemented
100#15689432C2211yescharacteristic, complemented
101#15689431C2211yescharacteristic, complemented
102#15689430C2211yescharacteristic, complemented
103#15689429C2211yescharacteristic, complemented
104#15689369C2211yescharacteristic, complemented
105#15689368C2211yescharacteristic, complemented
106#15689366C2211yescharacteristic, complemented
107#15689357C2211yescharacteristic, complemented
108#15689356C2211yescharacteristic, complemented
109#15689356C2211yescharacteristic, complemented
110#15689354C2211yescharacteristic, complemented
111#15689352C2211yescharacteristic, complemented
112#15689351C2211yescharacteristic, complemented
113#15689351C2211yescharacteristic, complemented
114#15689351C2211yescharacteristic, complemented
115#15689350C2211yescharacteristic, complemented
116#15689350C2211yescharacteristic, complemented
117#15689349C2211yescharacteristic, complemented
118#15689336C2211yescharacteristic, complemented
119#15689336C2211yescharacteristic, complemented
120#15689335C2211yescharacteristic, complemented
121#15689329C2211yescharacteristic, complemented
122#15689328C2211yescharacteristic, complemented
123#15689326C2211yescharacteristic, complemented
124#15689326C2211yescharacteristic, complemented
125#15689322C2211yescharacteristic, complemented
126#15689321C2211yescharacteristic, complemented
127#15689320C2211yescharacteristic, complemented
128#15689275C2211yescharacteristic, complemented
129#15689275C2211yescharacteristic, complemented
130#15689274C2211yescharacteristic, complemented
131#15689274C2211yescharacteristic, complemented
132#15689272C2211yescharacteristic, complemented
133#15689269C2211yescharacteristic, complemented
134#15689268C2211yescharacteristic, complemented
135#15689265C2211yescharacteristic, complemented
136#15689265C2211yescharacteristic, complemented
137#15689265C2211yescharacteristic, complemented
138#15689265C2211yescharacteristic, complemented
139#15689265C2211yescharacteristic, complemented
140#15689264C2211yescharacteristic, complemented
141#15689264C2211yescharacteristic, complemented
142#15689263C2211yescharacteristic, complemented
143#15689263C2211yescharacteristic, complemented
144#15689262C2211yescharacteristic, complemented
145#15689261C2211yescharacteristic, complemented
146#15689261C2211yescharacteristic, complemented
147#15689260C2211yescharacteristic, complemented
148#15689260C2211yescharacteristic, complemented
149#15689260C2211yescharacteristic, complemented
150#15689260C2211yescharacteristic, complemented
151#15689260C2211yescharacteristic, complemented
152#15689260C2211yescharacteristic, complemented
153#15689260C2211yescharacteristic, complemented
154#15689260C2211yescharacteristic, complemented
155#15689260C2211yescharacteristic, complemented
156#15689260C2211yescharacteristic, complemented
157#15689260C2211yescharacteristic, complemented
158#15689260C2211yescharacteristic, complemented
159#15689255C2211yescharacteristic, complemented
160#15689225C2211yescharacteristic, complemented
161#15689224C2211yescharacteristic, complemented
162#15689220C2211yescharacteristic, complemented
163#15689214C2211yescharacteristic, complemented
164SD16×Dic47C2211yescharacteristic, complemented
165C4×#10625336C2211yescharacteristic, complemented
166C4×#10625335C2211yescharacteristic, complemented
167#15689196C2211yescharacteristic, complemented
168#15689192C2211yescharacteristic, complemented
169#15689191C2211yescharacteristic, complemented
170D4×C47⋊C8C2211yescharacteristic, complemented
171#15689188C2211yescharacteristic, complemented
172C8×C22⋊D47C2211yescharacteristic, complemented
173(C22⋊D47)⋊C8C2211yescharacteristic, complemented
174#15689185C2211yescharacteristic, complemented
175#15689183C2211yescharacteristic, complemented
176#15689133C2211yescharacteristic, complemented
177#15689130C2211yescharacteristic, complemented
178#15689119C2211yescharacteristic, complemented
179#15689116C2211yescharacteristic, complemented
180C2×#13093949C2211yescharacteristic, complemented
181C2×#13093948C2211yescharacteristic, complemented
182#103×D47C2211yescharacteristic, complemented
183#103×D47C2211yescharacteristic, complemented
184#15689091C2211yescharacteristic, complemented
185#15689088C2211yescharacteristic, complemented
186C2×(C2×D47)⋊C8C2211yescharacteristic, complemented
187C22⋊C8×D47C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C47C2211yescharacteristic, complemented
189C22×SD16×C47C2211yescharacteristic, complemented
190C47×#548C2211yescharacteristic, complemented
191D42×C47C2211yescharacteristic
192C47×#496C2211yescharacteristic, complemented
193C47×#468C2211yescharacteristic, complemented
194C47×#466C2211yescharacteristic, complemented
195C47×#463C2211yescharacteristic, complemented
196C47×#460C2211yescharacteristic, complemented
197C47×#450C2211yescharacteristic, complemented
198C47×#449C2211yescharacteristic, complemented
199C47×#448C2211yescharacteristic, complemented
200C47×#447C2211yescharacteristic, complemented
201C47×#440C2211yescharacteristic, complemented
202C47×#435C2211yescharacteristic, complemented
203#13094071—42no—
204#13094071—42no—
205C2×#10625350—21no—
206C2×#10625350C2311yescharacteristic
207C2×#10625352—21no—
208C2×#10625352—21no—
209C2×#10625352C2311yescharacteristic
210C2×#10625352C2311yescharacteristic
211C22×Dic94—21no—
212C22×Dic94—21no—
213C22×Dic94C2311yescharacteristic
214C22×Dic94C2311yescharacteristic
215C2×Q8×D47—21no—
216C2×Q8×D47—21no—
217C2×Q8×D47—42no—
218C2×Q8×D47—42no—
219C2×Q8×D47C2311yescharacteristic
220C2×Q8×D47C2311yescharacteristic
221C2×Q8×D47C2311yescharacteristic
222C2×Q8×D47C2311yescharacteristic
223C2×Q8×D47C2311yescharacteristic
224C22×C22⋊D47—21no—
225C22×C22⋊D47—21no—
226C22×C22⋊D47—21no—
227C2×D4×D47—21no—
228C2×D4×D47—21no—
229C2×D4×D47C2311yescharacteristic
230C2×D4×D47C2311yescharacteristic
231C22×C4×D47—21no—
232C22×C4×D47C2311yescharacteristic
233#13094048—42no—
234C2×#10625325C2311yescharacteristic
235C2×#10625325C2311yescharacteristic
236C2×#10625325C2311yescharacteristic
237C2×#10625335—42no—
238C2×#10625335—42no—
239C2×#10625335C2311yescharacteristic
240C2×#10625335C2311yescharacteristic
241C2×#10625335C2311yescharacteristic
242C2×#10625335C2311yescharacteristic
243C2×#10625335C2311yescharacteristic
244C2×#10625335C2311yescharacteristic
245C2×#10625335C2311yescharacteristic
246C2×#10625335C2311yescharacteristic
247C2×#10625335C2311yescharacteristic
248C2×#10625336C2311yescharacteristic
249C2×#10625336C2311yescharacteristic
250SD16×D47—42no—
251SD16×D47—42no—
252SD16×D47—42no—
253C2×#10625334C2311yescharacteristic
254C2×#10625324C2311yescharacteristic
255C22×C47⋊C8C2311yescharacteristic
256C22×C47⋊C8C2311yescharacteristic
257C2×C8×D47C2311yescharacteristic
258C2×C8×D47C2311yescharacteristic
259C2×C8×D47C2311yescharacteristic
260#13094024—21no—
261#13094024C2311yescharacteristic
262#13094023—21no—
263#13094023—21no—
264#13094023—21no—
265#13094022—21no—
266#13094022C2311yescharacteristic
267#13094020—21no—
268#13094020—21no—
269#13094020C2311yescharacteristic
270#13094019—21no—
271#13094017—21no—
272#13094017—21no—
273#13094017—21no—
274#13094016C2311yescharacteristic
275#13094015C2311yescharacteristic
276#13094011—21no—
277#13094011—21no—
278#13094011C2311yescharacteristic
279#13094010—21no—
280#13094010—21no—
281#13094010—21no—
282#13094010—21no—
283#13094009—21no—
284#13094009D411yescharacteristic
285#13094008—21no—
286#13094007—21no—
287#13094007—21no—
288#13094006—21no—
289#13094006—21no—
290#13094006—21no—
291#13094006—21no—
292#13094006—21no—
293#13094006—21no—
294#13094006D411yescharacteristic
295#13094005—21no—
296#13094005—21no—
297#13094005—21no—
298#13094004—21no—
299#13094004—21no—
300#13094004C2311yescharacteristic
301#13094004C2311yescharacteristic
302#13094003—21no—
303#13094003—21no—
304#13094003C2311yescharacteristic
305#13094003C2311yescharacteristic
306#13094002—21no—
307#13094002D411yescharacteristic
308#13094001—21no—
309#13094001—21no—
310#13094001—21no—
311#13094001—21no—
312#13094001—21no—
313#13094001—21no—
314#13094001—21no—
315#13094001D411yescharacteristic
316#13094000—21no—
317#13094000C2311yescharacteristic
318#13093999C2311yescharacteristic
319#13093998—21no—
320#13093998C2311yescharacteristic
321#13093998C2311yescharacteristic
322#13093997—21no—
323#13093997—21no—
324#13093997—21no—
325#13093997—21no—
326#13093997D411yescharacteristic
327#13093996—21no—
328#13093996—21no—
329#13093996—21no—
330#13093996—21no—
331#13093996—21no—
332#13093996—21no—
333#13093996—21no—
334#13093996—21no—
335#13093996D411yescharacteristic
336#13093995—21no—
337#13093995—21no—
338#13093995—21no—
339#13093995—21no—
340#13093995—21no—
341#13093995C2311yescharacteristic
342#13093995C2311yescharacteristic
343#13093995C2311yescharacteristic
344#13093995C2311yescharacteristic
345#13093995C2311yescharacteristic
346#13093995C2311yescharacteristic
347#13093995C2311yescharacteristic
348#13093995C2311yescharacteristic
349#13093994—21no—
350#13093994D411yescharacteristic
351#13093993—21no—
352#13093993—21no—
353#13093993—21no—
354#13093993—21no—
355#13093992—21no—
356#13093992—21no—
357#13093992—21no—
358#13093992—21no—
359#13093992—21no—
360#13093992—21no—
361#13093992D411yescharacteristic
362Q8×Dic47C2311yescharacteristic
363C4×Dic94—21no—
364C4×Dic94C2311yescharacteristic
365#13093989—21no—
366#13093989C2311yescharacteristic
367C4×D188—21no—
368C4×D188C2311yescharacteristic
369C4×D188C2311yescharacteristic
370D4×Dic47—21no—
371D4×Dic47—21no—
372D4×Dic47—21no—
373D4×Dic47—21no—
374D4×Dic47C2311yescharacteristic
375D4×Dic47C2311yescharacteristic
376C4×C22⋊D47—21no—
377C4×C22⋊D47—21no—
378C4×C22⋊D47—21no—
379C4×C22⋊D47C2311yescharacteristic
380C4×C22⋊D47C2311yescharacteristic
381(C22⋊D47)⋊C4—21no—
382(C22⋊D47)⋊C4—21no—
383(C22⋊D47)⋊C4—21no—
384(C22⋊D47)⋊C4—21no—
385(C22⋊D47)⋊C4—21no—
386#13093983C2311yescharacteristic
387#13093982—21no—
388#13093982C2311yescharacteristic
389#13093982C2311yescharacteristic
390#13093981—21no—
391#13093981C2311yescharacteristic
392C2×C4⋊Dic47C2311yescharacteristic
393C4⋊C4×D47C2311yescharacteristic
394C2×C22⋊Dic47—21no—
395C22⋊C4×D47—21no—
396#13093958C2311yescharacteristic
397#13093958C2311yescharacteristic
398#13093957C2311yescharacteristic
399#13093956C2311yescharacteristic
400#13093955C2311yescharacteristic
401#13093955C2311yescharacteristic
402#13093955C2311yescharacteristic
403C4⋊(C47⋊C8)C2311yescharacteristic
404Dic47⋊C8C2311yescharacteristic
405Dic47⋊C8C2311yescharacteristic
406#13093949C2311yescharacteristic
407#13093949C2311yescharacteristic
408#13093949C2311yescharacteristic
409#13093949C2311yescharacteristic
410#13093949C2311yescharacteristic
411#13093949C2311yescharacteristic
412#13093949C2311yescharacteristic
413#13093949C2311yescharacteristic
414#13093949C2311yescharacteristic
415#13093948C2311yescharacteristic
416#13093948C2311yescharacteristic
417#13093948C2311yescharacteristic
418#13093948C2311yescharacteristic
419#13093948C2311yescharacteristic
420#13093948C2311yescharacteristic
421#13093947C2311yescharacteristic
422#13093947C2311yescharacteristic
423#13093947C2311yescharacteristic
424#13093946C2311yescharacteristic
425#13093945C2311yescharacteristic
426#13093945C2311yescharacteristic
427#13093945C2311yescharacteristic
428#13093945C2311yescharacteristic
429#13093945C2311yescharacteristic
430#13093945C2311yescharacteristic
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#13093934C2311yescharacteristic
443C4×C47⋊C8C2311yescharacteristic
444C8×Dic47C2311yescharacteristic
445C2×#41×C47C2311yescharacteristic
446C22×Q8×C47C2311yescharacteristic
447C22×D4×C47—21no—
448C22×D4×C47C2311yescharacteristic
449C22×D4×C47C2311yescharacteristic
450AGL(1,ℤ/8)×C47—42no—
451C2×SD16×C47—42no—
452C2×SD16×C47C2311yescharacteristic
453C2×SD16×C47C2311yescharacteristic
454C2×SD16×C47C2311yescharacteristic
455C2×SD16×C47C2311yescharacteristic
456C2×SD16×C47C2311yescharacteristic
457C2×SD16×C47C2311yescharacteristic
458C2×D8×C47C2311yescharacteristic
459C2×D8×C47C2311yescharacteristic
460C2×D8×C47C2311yescharacteristic
461C2×M16×C47C2311yescharacteristic
462C22×C8×C47C2311yescharacteristic
463#127×C47C2311yescharacteristic
464#124×C47—21no—
465#124×C47C2311yescharacteristic
466C22⋊Q8×C47—21no—
467C22⋊Q8×C47C2311yescharacteristic
468#121×C47—21no—
469#121×C47—21no—
470#121×C47C2311yescharacteristic
471#121×C47C2311yescharacteristic
472#121×C47C2311yescharacteristic
473#120×C47—21no—
474#120×C47—21no—
475C4×Q8×C47C2311yescharacteristic
476C4×D4×C47—21no—
477C4×D4×C47C2311yescharacteristic
478C4×D4×C47C2311yescharacteristic
479#107×C47C2311yescharacteristic
480C4⋊C8×C47C2311yescharacteristic
481#103×C47C2311yescharacteristic
482#103×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—
492C23×D47—21no—
493C23×D47—21no—
494C23×D47C2×D411yescharacteristic
495#41×C47—22no—
496#41×C47—41no—
497C2×Q8×C47—21no—
498C2×Q8×C47—22no—
499C2×Q8×C47—41no—
500C2×Q8×C47C2411yescharacteristic
501C2×Q8×C47C2411yescharacteristic
502C2×D4×C47—21no—
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—41no—
511C2×D4×C47—41no—
512C2×D4×C47—41no—
513C2×D4×C47—41no—
514C2×D4×C47—82no—
515C2×D4×C47C2×D411yescharacteristic
516C2×D4×C47C2411yescharacteristic
517C2×D4×C47C2411yescharacteristic
518C2×D4×C47C2411yescharacteristic
519C2×D4×C47C2411yescharacteristic
520C22×C4×C47—21no—
521C22×C4×C47—21no—
522C22×C4×C47—21no—
523C22×C4×C47C2411yescharacteristic
524C22×C4×C47C2411yescharacteristic
525C2×C22⋊D47—21no—
526C2×C22⋊D47—21no—
527C2×C22⋊D47—21no—
528C2×C22⋊D47—21no—
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—82no—
542C2×C22⋊D47—82no—
543C2×C22⋊D47—82no—
544C2×C22⋊D47C2×D411yescharacteristic
545C2×C22⋊D47C2×D411yescharacteristic
546C2×C22⋊D47C2×D411yescharacteristic
547C2×C22⋊D47C2×D411yescharacteristic
548C22×Dic47—21no—
549C22×Dic47—21no—
550C22×Dic47—21no—
551C22×Dic47—21no—
552C22×Dic47—21no—
553C22×Dic47—21no—
554C22×Dic47—21no—
555C22×Dic47C2×D411yescharacteristic
556Q8×D47—22no—
557Q8×D47—22no—
558Q8×D47—22no—
559Q8×D47—22no—
560Q8×D47—22no—
561Q8×D47—41no—
562Q8×D47—41no—
563Q8×D47—41no—
564Q8×D47—41no—
565Q8×D47—41no—
566Q8×D47—44no—
567Q8×D47—44no—
568#10625352—22no—
569#10625352—41no—
570#10625352—41no—
571#10625352—41no—
572#10625352—44no—
573#10625352—44no—
574D4×D47—41no—
575D4×D47—41no—
576D4×D47—41no—
577D4×D47—41no—
578D4×D47—82no—
579D4×D47—82no—
580#10625350—41no—
581#10625350—41no—
582#10625350—44no—
583C2×D188—21no—
584C2×D188C2×D411yescharacteristic
585C2×D188C2×D411yescharacteristic
586C2×D188C2411yescharacteristic
587C2×C4×D47—21no—
588C2×C4×D47—21no—
589C2×C4×D47—21no—
590C2×C4×D47—21no—
591C2×C4×D47—21no—
592C2×C4×D47—21no—
593C2×C4×D47—21no—
594C2×C4×D47—41no—
595C2×C4×D47—41no—
596C2×C4×D47—44no—
597C2×C4×D47C2×D411yescharacteristic
598C2×C4×D47C2×D411yescharacteristic
599C2×C4×D47C2411yescharacteristic
600C2×C4×D47C2411yescharacteristic
601C2×C4×D47C2411yescharacteristic
602C2×Dic94—21no—
603C2×Dic94—22no—
604C2×Dic94—22no—
605C2×Dic94—21no—
606C2×Dic94—21no—
607C2×Dic94—21no—
608C2×Dic94—21no—
609C2×Dic94—21no—
610C2×Dic94—21no—
611C2×Dic94—41no—
612C2×Dic94—41no—
613C2×Dic94—44no—
614C2×Dic94—44no—
615C2×Dic94C2×D411yescharacteristic
616C2×Dic94C2411yescharacteristic
617C2×Dic94C2411yescharacteristic
618C2×Dic94C2411yescharacteristic
619SD16×C47—22no—
620SD16×C47—22no—
621SD16×C47—22no—
622SD16×C47—41no—
623SD16×C47—41no—
624SD16×C47—41no—
625D8×C47—41no—
626D8×C47—41no—
627D8×C47—41no—
628M16×C47—41no—
629C2×C8×C47—41no—
630C2×C8×C47C2411yescharacteristic
631C2×C8×C47C2411yescharacteristic
632C2×C8×C47C2411yescharacteristic
633C2×C8×C47C2411yescharacteristic
634C4⋊C4×C47—21no—
635C4⋊C4×C47—21no—
636C4⋊C4×C47C2×D411yescharacteristic
637C4⋊C4×C47C2411yescharacteristic
638C4⋊C4×C47C2411yescharacteristic
639C22⋊C4×C47—21no—
640C22⋊C4×C47—21no—
641C22⋊C4×C47—21no—
642C22⋊C4×C47—21no—
643C22⋊C4×C47—21no—
644C22⋊C4×C47—21no—
645C22⋊C4×C47—21no—
646C22⋊C4×C47C2×D411yescharacteristic
647C22⋊C4×C47C2×D411yescharacteristic
648C42×C47—21no—
649C42×C47C2411yescharacteristic
650C22⋊Dic47—21no—
651C22⋊Dic47—21no—
652C22⋊Dic47—21no—
653C22⋊Dic47—21no—
654C22⋊Dic47—21no—
655C22⋊Dic47—21no—
656C22⋊Dic47—21no—
657C22⋊Dic47—21no—
658C22⋊Dic47—21no—
659C22⋊Dic47—21no—
660C22⋊Dic47—21no—
661C22⋊Dic47—21no—
662C22⋊Dic47—21no—
663C22⋊Dic47—21no—
664C22⋊Dic47—21no—
665C22⋊Dic47C2×D411yescharacteristic
666C22⋊Dic47C2×D411yescharacteristic
667#10625336—22no—
668#10625336—41no—
669#10625335—22no—
670#10625335—22no—
671#10625335—22no—
672#10625335—41no—
673#10625335—41no—
674#10625335—41no—
675#10625335—41no—
676#10625335—41no—
677#10625335—41no—
678#10625334—41no—
679(C2×D47)⋊C4—21no—
680(C2×D47)⋊C4—21no—
681(C2×D47)⋊C4—21no—
682(C2×D47)⋊C4—21no—
683(C2×D47)⋊C4—21no—
684(C2×D47)⋊C4—21no—
685(C2×D47)⋊C4—21no—
686(C2×D47)⋊C4—21no—
687(C2×D47)⋊C4—21no—
688(C2×D47)⋊C4C2×D411yescharacteristic
689(C2×D47)⋊C4C2×D411yescharacteristic
690(C2×D47)⋊C4C2×D411yescharacteristic
691(C2×D47)⋊C4C2×D411yescharacteristic
692(C2×D47)⋊C4C2×D411yescharacteristic
693(C2×D47)⋊C4C2×D411yescharacteristic
694C4⋊Dic47—21no—
695C4⋊Dic47—21no—
696C4⋊Dic47—21no—
697C4⋊Dic47—21no—
698C4⋊Dic47—21no—
699C4⋊Dic47—21no—
700C4⋊Dic47—21no—
701C4⋊Dic47C2×D411yescharacteristic
702C4⋊Dic47C2411yescharacteristic
703C4⋊Dic47C2411yescharacteristic
704C4⋊Dic47C2411yescharacteristic
705C4⋊Dic47C2411yescharacteristic
706Dic47⋊C4—21no—
707Dic47⋊C4—21no—
708Dic47⋊C4—21no—
709Dic47⋊C4—21no—
710Dic47⋊C4—21no—
711Dic47⋊C4—21no—
712Dic47⋊C4—21no—
713Dic47⋊C4—21no—
714Dic47⋊C4—21no—
715Dic47⋊C4—21no—
716Dic47⋊C4—21no—
717Dic47⋊C4C2×D411yescharacteristic
718Dic47⋊C4C2×D411yescharacteristic
719Dic47⋊C4C2×D411yescharacteristic
720Dic47⋊C4C2×D411yescharacteristic
721C4×Dic47—21no—
722C4×Dic47—21no—
723C4×Dic47—21no—
724C4×Dic47—21no—
725C4×Dic47—21no—
726C4×Dic47—21no—
727C4×Dic47C2411yescharacteristic
728C2×C47⋊C8—41no—
729C2×C47⋊C8—41no—
730C2×C47⋊C8C2411yescharacteristic
731C2×C47⋊C8C2411yescharacteristic
732C2×C47⋊C8C2411yescharacteristic
733C2×C47⋊C8C2411yescharacteristic
734#10625325—22no—
735#10625325—41no—
736#10625325—41no—
737#10625324—41no—
738C8×D47—41no—
739C8×D47—41no—
740C8×D47—41no—
741C23×C47—21no—
742C23×C47—21no—
743C23×C47—21no—
744C23×C47—21no—
745C23×C47—42no—
746C23×C47—81no—
747C23×C47—81no—
748C23×C47—81no—
749C23×C47—81no—
750C23×C47—81no—
751C23×C47C22×D411yescharacteristic
752C23×C47C22×D411yescharacteristic
753C22×D47—22no—
754C22×D47—22no—
755C22×D47—21no—
756C22×D47—41no—
757C22×D47—42no—
758C22×D47—81no—
759C22×D47—81no—
760C22×D47—81no—
761C22×D47—81no—
762C22×D47—81no—
763C22×D47C22×D411yescharacteristic
764C22×D47C22×D411yescharacteristic
765C22×D47C22×D411yescharacteristic
766Q8×C47—21no—
767Q8×C47—21no—
768Q8×C47—21no—
769Q8×C47—42no—
770Q8×C47H(5,𝔽2)12yes—
771D4×C47—22no—
772D4×C47—21no—
773D4×C47—21no—
774D4×C47—21no—
775D4×C47—21no—
776D4×C47—21no—
777D4×C47—21no—
778D4×C47—21no—
779D4×C47—21no—
780D4×C47—42no—
781D4×C47—42no—
782D4×C47—42no—
783D4×C47—81no—
784D4×C47—81no—
785D4×C47—81no—
786D4×C47—81no—
787D4×C47—81no—
788C2×C4×C47—21no—
789C2×C4×C47—21no—
790C2×C4×C47—21no—
791C2×C4×C47—21no—
792C2×C4×C47—21no—
793C2×C4×C47—21no—
794C2×C4×C47—21no—
795C2×C4×C47—21no—
796C2×C4×C47—42no—
797C2×C4×C47—42no—
798C2×C4×C47—81no—
799C2×C4×C47C22×D411yescharacteristic
800C2×C4×C47C22×D411yescharacteristic
801C2×C4×C47C22×D411yescharacteristic
802C2×C4×C47C22×D411yescharacteristic
803C2×C4×C47C2511yescharacteristic
804C22⋊D47—22no—
805C22⋊D47—22no—
806C22⋊D47—41no—
807C22⋊D47—41no—
808C22⋊D47—42no—
809C22⋊D47—42no—
810C22⋊D47—42no—
811C22⋊D47—42no—
812C22⋊D47—42no—
813C22⋊D47—42no—
814C22⋊D47—81no—
815C22⋊D47—81no—
816C22⋊D47—81no—
817C22⋊D47—81no—
818C22⋊D47—81no—
819C22⋊D47—81no—
820C22⋊D47—81no—
821C22⋊D47—81no—
822C22⋊D47—81no—
823C22⋊D47—81no—
824C2×Dic47—21no—
825C2×Dic47—21no—
826C2×Dic47—21no—
827C2×Dic47—21no—
828C2×Dic47—21no—
829C2×Dic47—21no—
830C2×Dic47—21no—
831C2×Dic47—41no—
832C2×Dic47—42no—
833C2×Dic47—42no—
834C2×Dic47—42no—
835C2×Dic47—42no—
836C2×Dic47—81no—
837C2×Dic47—81no—
838C2×Dic47—81no—
839C2×Dic47C22×D411yescharacteristic
840C2×Dic47C22×D411yescharacteristic
841C2×Dic47C22×D411yescharacteristic
842C2×Dic47C22×D411yescharacteristic
843C2×Dic47C22×D411yescharacteristic
844D188—22no—
845D188—21no—
846D188—21no—
847D188—41no—
848D188—81no—
849C4×D47—24no—
850C4×D47—21no—
851C4×D47—21no—
852C4×D47—21no—
853C4×D47—21no—
854C4×D47—21no—
855C4×D47—21no—
856C4×D47—41no—
857C4×D47—41no—
858C4×D47—42no—
859C4×D47—42no—
860C4×D47—42no—
861C4×D47—42no—
862C4×D47—81no—
863C4×D47—81no—
864Dic94—24no—
865Dic94—21no—
866Dic94—21no—
867Dic94—21no—
868Dic94—21no—
869Dic94—21no—
870Dic94—41no—
871Dic94—42no—
872Dic94—42no—
873Dic94—42no—
874Dic94—42no—
875Dic94—42no—
876Dic94—42no—
877Dic94H(5,𝔽2)12yes—
878C8×C47—21no—
879C8×C47—21no—
880C8×C47—21no—
881C8×C47—21no—
882C47⋊C8—21no—
883C47⋊C8—21no—
884C47⋊C8—21no—
885C47⋊C8—21no—
886#61633—471nomaximal, Sylow
887C22×C47—21no—
888C22×C47—21no—
889C22×C47—21no—
890C22×C47—21no—
891C22×C47—21no—
892C22×C47—41no—
893C22×C47—41no—
894C22×C47—41no—
895C22×C47—41no—
896C22×C47—41no—
897C22×C47—41no—
898C22×C47—41no—
899C22×C47—41no—
900C22×C47—41no—
901C22×C47—41no—
902C22×C47—41no—
903C22×C47—41no—
904C22×C47—162no—
905C22×C47—162no—
906C22×C47#57712yes—
907C22×C47C23×D411yescharacteristic
908C2×D47—21no—
909C2×D47—21no—
910C2×D47—21no—
911C2×D47—21no—
912C2×D47—21no—
913C2×D47—21no—
914C2×D47—21no—
915C2×D47—21no—
916C2×D47—44no—
917C2×D47—41no—
918C2×D47—41no—
919C2×D47—41no—
920C2×D47—162no—
921C2×D47—162no—
922C2×D47#57712yes—
923C4×C47—22no—
924C4×C47—21no—
925C4×C47—21no—
926C4×C47—21no—
927C4×C47—21no—
928C4×C47—41no—
929C4×C47—41no—
930C4×C47—41no—
931C4×C47C2×H(5,𝔽2)11yescharacteristic
932C4×C47C2×H(5,𝔽2)11yescharacteristic
933Dic47—21no—
934Dic47—22no—
935Dic47—21no—
936Dic47—21no—
937Dic47—21no—
938Dic47—21no—
939Dic47—41no—
940Dic47—41no—
941Dic47—41no—
942Dic47—41no—
943Dic47—41no—
944Dic47—41no—
945#3537—471no—
946#3486—471no—
947#3320—471no—
948#3320—471no—
949#3320—471no—
950#3320—471no—
951#3301—471no—
952#3301—471no—
953#3301—471no—
954#3301—471no—
955D4×SD16—471no—
956D4×SD16—471no—
957D4×SD16—471no—
958D4×SD16—471no—
959#3265—471no—
960#3265—471no—
961#3265—471no—
962#3265D4711yescharacteristic, complemented
963#3221—471no—
964#3221—471no—
965#3200—471no—
966#3200—471no—
967#3188—471no—
968#3188—471no—
969#3126—471no—
970#3126—471no—
971#3010—471no—
972#3010—471no—
973C2×#448—471no—
974C2×#448—471no—
975#2977—471no—
976C2×C47—22no—
977C2×C47—41no—
978C2×C47—81no—
979C2×C47—81no—
980C2×C47—81no—
981C2×C47—81no—
982C2×C47#348411yescharacteristic
983C2×C47C2×#57711yescharacteristic
984C2×C47C2×#57711yescharacteristic
985D47—22no—
986D47—41no—
987D47—41no—
988D47—81no—
989C2×2−1+4—471no—
990C23×Q8—471no—
991C2×AGL(1,ℤ/8)—471no—
992C2×AGL(1,ℤ/8)C2×D4711yescharacteristic, complemented
993C22×SD16—471no—
994C22×SD16—471no—
995C22×SD16—471no—
996C22×SD16—471no—
997C22×SD16—471no—
998C22×SD16C2×D4711yescharacteristic, complemented
999#560—941no—
1000#560—941no—
1001#553—471no—
1002#553—471no—
1003#553—471no—
1004#553—471no—
1005D4×Q8—471no—
1006D4×Q8—471no—
1007D4×Q8—471no—
1008D4×Q8—471no—
1009D4×Q8—941no—
1010D4×Q8—941no—
1011#548—471no—
1012#548—471no—
1013#548—471no—
1014#548—941no—
1015#548—941no—
1016#548C2×D4711yescharacteristic, complemented
1017D42—471no—
1018D42—471no—
1019D42—471no—
1020D42—941no—
1021D42—941no—
1022D42C2×D4711yescharacteristic
1023#540—471no—
1024#540—471no—
1025#538—941no—
1026#538—941no—
1027#536—471no—
1028#536—471no—
1029#536—941no—
1030#536—941no—
1031#535—471no—
1032#535—471no—
1033#534—941no—
1034#534—941no—
1035#525—471no—
1036#525—471no—
1037#525—941no—
1038#525—941no—
1039C2×#121—471no—
1040C2×#121—471no—
1041#519—471no—
1042#496—471no—
1043#496C2×D4711yescharacteristic, complemented
1044#492—471no—
1045#492—471no—
1046#491—471no—
1047#491—471no—
1048#488—471no—
1049#488—471no—
1050#485—471no—
1051#485—471no—
1052#485—471no—
1053#485—471no—
1054#484—471no—
1055#484—471no—
1056#482—471no—
1057#482—471no—
1058#482—471no—
1059#482—471no—
1060#481—471no—
1061#481—471no—
1062#479—471no—
1063#479—471no—
1064#479—471no—
1065#479—471no—
1066#468—471no—
1067#468—471no—
1068#468—471no—
1069#468C2×D4711yescharacteristic, complemented
1070#466—471no—
1071#466—471no—
1072#466—471no—
1073#466C2×D4711yescharacteristic, complemented
1074#465—471no—
1075#465—471no—
1076#465—471no—
1077#465—471no—
1078#465—471no—
1079#465—471no—
1080#465—471no—
1081#465—471no—
1082#463—471no—
1083#463—471no—
1084#463—471no—
1085#463C2×D4711yescharacteristic, complemented
1086#461—471no—
1087#461—471no—
1088#461—471no—
1089#461—471no—
1090#460—471no—
1091#460—471no—
1092#460—471no—
1093#460C2×D4711yescharacteristic, complemented
1094#450—471no—
1095#450—471no—
1096#450—471no—
1097#450—471no—
1098#450—471no—
1099#450C2×D4711yescharacteristic, complemented
1100#449—471no—
1101#449—471no—
1102#449—471no—
1103#449—471no—
1104#449—471no—
1105#449—471no—
1106#449—471no—
1107#449C2×D4711yescharacteristic, complemented
1108#448—471no—
1109#448—471no—
1110#448—471no—
1111#448—471no—
1112#448—471no—
1113#448—471no—
1114#448—471no—
1115#448—471no—
1116#448—471no—
1117#448—471no—
1118#448—471no—
1119#448—471no—
1120#448—471no—
1121#448—471no—
1122#448—471no—
1123#448—471no—
1124#448—471no—
1125#448—471no—
1126#448—471no—
1127#448C2×D4711yescharacteristic, complemented
1128#447—471no—
1129#447C2×D4711yescharacteristic, complemented
1130#440—471no—
1131#440—471no—
1132#440—471no—
1133#440C2×D4711yescharacteristic, complemented
1134C4×SD16—471no—
1135C4×SD16—471no—
1136C4×SD16—471no—
1137C4×SD16—471no—
1138#435—471no—
1139#435—471no—
1140#435—471no—
1141#435C2×D4711yescharacteristic, complemented
1142C8×D4—471no—
1143C8×D4—471no—
1144C8×D4—471no—
1145C8×D4—471no—
1146#433—471no—
1147#433—471no—
1148#419—471no—
1149#419—471no—
1150#416—471no—
1151#416—471no—
1152C2×#103—471no—
1153C2×#103—471no—
1154C2×#103—471no—
1155C2×#103—471no—
1156#408—471no—
1157#408—471no—
1158C2×C22⋊C8—471no—
1159C2×C22⋊C8—471no—
1160C47#6163311yescharacteristic, complemented, Sylow
11612−1+4—1882no—
11622−1+4—1882no—
1163C2×#41—471no—
1164C2×#41—471no—
1165C2×#41—471no—
1166C2×#41—941no—
1167C2×#41—941no—
1168C2×#41—941no—
1169C2×#41C22×D4711yescharacteristic
1170C22×Q8—471no—
1171C22×Q8—471no—
1172C22×Q8—471no—
1173C22×Q8—471no—
1174C22×Q8—471no—
1175C22×Q8—471no—
1176C22×Q8—471no—
1177C22×Q8—941no—
1178C22×Q8—941no—
1179C22×Q8—941no—
1180C22×Q8—941no—
1181C22×Q8—1882no—
1182C22×Q8—1882no—
1183C22×Q8C22×D4711yescharacteristic
1184C22×D4—21no—
1185C22×D4—471no—
1186C22×D4—471no—
1187C22×D4—941no—
1188C22×D4—941no—
1189C22×D4—941no—
1190C22×D4—941no—
1191C22×D4—941no—
1192C22×D4C22×D4711yescharacteristic
1193C22×D4C22×D4711yescharacteristic
1194C23×C4—471no—
1195C23×C4—941no—
1196AGL(1,ℤ/8)—42no—
1197AGL(1,ℤ/8)—1882no—
1198C2×SD16—42no—
1199C2×SD16—471no—
1200C2×SD16—471no—
1201C2×SD16—471no—
1202C2×SD16—471no—
1203C2×SD16—471no—
1204C2×SD16—471no—
1205C2×SD16—471no—
1206C2×SD16—471no—
1207C2×SD16—471no—
1208C2×SD16—471no—
1209C2×SD16—471no—
1210C2×SD16—471no—
1211C2×SD16—471no—
1212C2×SD16—471no—
1213C2×SD16—1882no—
1214C2×SD16—1882no—
1215C2×SD16—1882no—
1216C2×SD16—1882no—
1217C2×SD16—1882no—
1218C2×SD16C22×D4711yescharacteristic
1219C2×SD16C22×D4711yescharacteristic
1220C2×SD16C22×D4711yescharacteristic
1221C2×SD16C22×D4711yescharacteristic
1222C2×SD16C22×D4711yescharacteristic
1223C2×SD16C22×D4711yescharacteristic
1224C2×D8—471no—
1225C2×D8C22×D4711yescharacteristic
1226C2×D8C22×D4711yescharacteristic
1227C2×D8C22×D4711yescharacteristic
1228C2×M16—471no—
1229C2×M16C22×D4711yescharacteristic
1230C22×C8—471no—
1231C22×C8—471no—
1232C22×C8—471no—
1233C22×C8—471no—
1234C22×C8—471no—
1235C22×C8C22×D4711yescharacteristic
1236C4⋊Q8—471no—
1237C4⋊Q8—471no—
1238C4⋊Q8—941no—
1239C4⋊Q8—941no—
1240C4⋊Q8—941no—
1241C4⋊Q8—941no—
1242C4⋊Q8—941no—
1243#127—471no—
1244#127—941no—
1245#127—941no—
1246#127C22×D4711yescharacteristic
1247#126—941no—
1248#126—941no—
1249#126—941no—
1250#126—941no—
1251#125—471no—
1252#125—471no—
1253#124—21no—
1254#124—471no—
1255#124—941no—
1256#124—941no—
1257#124—941no—
1258#124—941no—
1259#124—941no—
1260#124—941no—
1261#124C22×D4711yescharacteristic
1262#123—471no—
1263#123—471no—
1264#123—941no—
1265#123—941no—
1266#123—941no—
1267#123—941no—
1268#123—941no—
1269#123—941no—
1270#123—941no—
1271#123—941no—
1272#123—941no—
1273#123—941no—
1274#123—941no—
1275#123—941no—
1276#123—941no—
1277C22⋊Q8—21no—
1278C22⋊Q8—471no—
1279C22⋊Q8—471no—
1280C22⋊Q8—471no—
1281C22⋊Q8—471no—
1282C22⋊Q8—471no—
1283C22⋊Q8—471no—
1284C22⋊Q8—471no—
1285C22⋊Q8—941no—
1286C22⋊Q8—941no—
1287C22⋊Q8—941no—
1288C22⋊Q8—941no—
1289C22⋊Q8—941no—
1290C22⋊Q8—941no—
1291C22⋊Q8—941no—
1292C22⋊Q8—941no—
1293C22⋊Q8—941no—
1294C22⋊Q8—941no—
1295C22⋊Q8—941no—
1296C22⋊Q8—941no—
1297C22⋊Q8—941no—
1298C22⋊Q8C22×D4711yescharacteristic
1299#121—21no—
1300#121—21no—
1301#121—471no—
1302#121—471no—
1303#121—471no—
1304#121—471no—
1305#121—471no—
1306#121—471no—
1307#121—471no—
1308#121—471no—
1309#121—471no—
1310#121—471no—
1311#121—471no—
1312#121—471no—
1313#121—471no—
1314#121—941no—
1315#121—941no—
1316#121—941no—
1317#121—941no—
1318#121—941no—
1319#121—941no—
1320#121—941no—
1321#121—941no—
1322#121—941no—
1323#121—941no—
1324#121—941no—
1325#121—941no—
1326#121—941no—
1327#121—941no—
1328#121—941no—
1329#121—941no—
1330#121—941no—
1331#121—941no—
1332#121C22×D4711yescharacteristic
1333#121C22×D4711yescharacteristic
1334#121C22×D4711yescharacteristic
1335#120—21no—
1336#120—21no—
1337#120—471no—
1338#120—471no—
1339#120—941no—
1340#120—941no—
1341#120—941no—
1342#120—941no—
1343#120—941no—
1344#120—941no—
1345#120—941no—
1346#120—941no—
1347#120—941no—
1348#120—941no—
1349#120—941no—
1350C4×Q8—471no—
1351C4×Q8—471no—
1352C4×Q8—471no—
1353C4×Q8—941no—
1354C4×Q8—941no—
1355C4×Q8C22×D4711yescharacteristic
1356C4×D4—21no—
1357C4×D4—471no—
1358C4×D4—471no—
1359C4×D4—471no—
1360C4×D4—471no—
1361C4×D4—471no—
1362C4×D4—471no—
1363C4×D4—941no—
1364C4×D4—941no—
1365C4×D4—941no—
1366C4×D4—941no—
1367C4×D4—941no—
1368C4×D4—941no—
1369C4×D4—941no—
1370C4×D4—941no—
1371C4×D4—941no—
1372C4×D4—941no—
1373C4×D4—941no—
1374C4×D4—941no—
1375C4×D4—941no—
1376C4×D4C22×D4711yescharacteristic
1377C4×D4C22×D4711yescharacteristic
1378#117—471no—
1379#117—471no—
1380#117—471no—
1381#117—471no—
1382#117—941no—
1383#117—941no—
1384C2×C4⋊C4—471no—
1385C2×C4⋊C4—471no—
1386C2×C22⋊C4—941no—
1387C2×C22⋊C4—941no—
1388#107—471no—
1389#107—471no—
1390#107—471no—
1391#107C22×D4711yescharacteristic
1392#106—471no—
1393#106—471no—
1394#106—471no—
1395#106—471no—
1396C4⋊C8—471no—
1397C4⋊C8—471no—
1398C4⋊C8—471no—
1399C4⋊C8C22×D4711yescharacteristic
1400#103—471no—
1401#103—471no—
1402#103—471no—
1403#103—471no—
1404#103—471no—
1405#103—471no—
1406#103—471no—
1407#103—471no—
1408#103—471no—
1409#103—471no—
1410#103—471no—
1411#103—471no—
1412#103—471no—
1413#103—471no—
1414#103—471no—
1415#103—471no—
1416#103—471no—
1417#103—471no—
1418#103C22×D4711yescharacteristic
1419#103C22×D4711yescharacteristic
1420#102—471no—
1421#102—471no—
1422#102—471no—
1423#102—471no—
1424#102—471no—
1425#102—471no—
1426#102—471no—
1427#102—471no—
1428#102C22×D4711yescharacteristic
1429#102C22×D4711yescharacteristic
1430#102C22×D4711yescharacteristic
1431#102C22×D4711yescharacteristic
1432C22⋊C8—471no—
1433C22⋊C8—471no—
1434C22⋊C8—471no—
1435C22⋊C8—471no—
1436C22⋊C8—471no—
1437C22⋊C8—471no—
1438C22⋊C8—471no—
1439C22⋊C8—471no—
1440C22⋊C8—471no—
1441C22⋊C8—471no—
1442C22⋊C8C22×D4711yescharacteristic
1443C22⋊C8C22×D4711yescharacteristic
1444#97—471no—
1445#97C22×D4711yescharacteristic
1446C4×C8—471no—
1447C4×C8—471no—
1448C24—21no—
1449C24—21no—
1450C24—471no—
1451C24—941no—
1452C24—941no—
1453#41—22no—
1454#41—41no—
1455#41—942no—
1456#41—1881no—
1457#41—1881no—
1458#41—1884no—
1459#41—1881no—
1460#41—1881no—
1461#41—1881no—
1462#41—1884no—
1463#41—1884no—
1464C2×Q8—21no—
1465C2×Q8—22no—
1466C2×Q8—41no—
1467C2×Q8—471no—
1468C2×Q8—471no—
1469C2×Q8—471no—
1470C2×Q8—471no—
1471C2×Q8—941no—
1472C2×Q8—941no—
1473C2×Q8—941no—
1474C2×Q8—941no—
1475C2×Q8—941no—
1476C2×Q8—942no—
1477C2×Q8—942no—
1478C2×Q8—942no—
1479C2×Q8—942no—
1480C2×Q8—941no—
1481C2×Q8—941no—
1482C2×Q8—942no—
1483C2×Q8—942no—
1484C2×Q8—942no—
1485C2×Q8—1881no—
1486C2×Q8—1881no—
1487C2×Q8—1884no—
1488C2×Q8—1884no—
1489C2×Q8—1881no—
1490C2×Q8—1881no—
1491C2×Q8—1881no—
1492C2×Q8—1881no—
1493C2×Q8—1881no—
1494C2×Q8—1884no—
1495C2×Q8—1884no—
1496C2×Q8C23×D4711yescharacteristic
1497C2×Q8C23×D4711yescharacteristic
1498C2×D4—21no—
1499C2×D4—21no—
1500C2×D4—21no—
1501C2×D4—21no—
1502C2×D4—21no—
1503C2×D4—21no—
1504C2×D4—21no—
1505C2×D4—21no—
1506C2×D4—41no—
1507C2×D4—41no—
1508C2×D4—41no—
1509C2×D4—41no—
1510C2×D4—82no—
1511C2×D4—471no—
1512C2×D4—471no—
1513C2×D4—471no—
1514C2×D4—471no—
1515C2×D4—471no—
1516C2×D4—471no—
1517C2×D4—471no—
1518C2×D4—941no—
1519C2×D4—941no—
1520C2×D4—941no—
1521C2×D4—941no—
1522C2×D4—941no—
1523C2×D4—941no—
1524C2×D4—941no—
1525C2×D4—941no—
1526C2×D4—941no—
1527C2×D4—941no—
1528C2×D4—941no—
1529C2×D4—941no—
1530C2×D4—941no—
1531C2×D4—941no—
1532C2×D4—941no—
1533C2×D4—941no—
1534C2×D4—941no—
1535C2×D4—3762no—
1536C2×D4—3762no—
1537C2×D4—3762no—
1538C2×D4—3762no—
1539C2×D4—3762no—
1540C2×D4—1881no—
1541C2×D4—1881no—
1542C2×D4—1881no—
1543C2×D4—1881no—
1544C2×D4D4×D4711yescharacteristic
1545C2×D4C23×D4711yescharacteristic
1546C2×D4C23×D4711yescharacteristic
1547C2×D4C23×D4711yescharacteristic
1548C2×D4C23×D4711yescharacteristic
1549C22×C4—21no—
1550C22×C4—21no—
1551C22×C4—21no—
1552C22×C4—471no—
1553C22×C4—471no—
1554C22×C4—471no—
1555C22×C4—471no—
1556C22×C4—471no—
1557C22×C4—471no—
1558C22×C4—941no—
1559C22×C4—941no—
1560C22×C4—941no—
1561C22×C4—941no—
1562C22×C4—941no—
1563C22×C4—941no—
1564C22×C4—941no—
1565C22×C4—941no—
1566C22×C4—941no—
1567C22×C4—941no—
1568C22×C4—941no—
1569C22×C4—941no—
1570C22×C4—941no—
1571C22×C4—941no—
1572C22×C4—1881no—
1573C22×C4—1881no—
1574C22×C4—1884no—
1575C22×C4C23×D4711yescharacteristic
1576C22×C4C23×D4711yescharacteristic
1577SD16—22no—
1578SD16—22no—
1579SD16—22no—
1580SD16—41no—
1581SD16—41no—
1582SD16—41no—
1583SD16—942no—
1584SD16—942no—
1585SD16—942no—
1586SD16—942no—
1587SD16—942no—
1588SD16—1881no—
1589SD16—1881no—
1590SD16—1881no—
1591SD16—1881no—
1592SD16—1881no—
1593SD16—1881no—
1594SD16—1881no—
1595SD16—1881no—
1596SD16—1881no—
1597D8—41no—
1598D8—41no—
1599D8—41no—
1600D8—1881no—
1601M16—41no—
1602M16—1881no—
1603C2×C8—41no—
1604C2×C8—471no—
1605C2×C8—471no—
1606C2×C8—471no—
1607C2×C8—471no—
1608C2×C8—1881no—
1609C2×C8—1881no—
1610C2×C8—1881no—
1611C2×C8—1881no—
1612C2×C8—1881no—
1613C2×C8C23×D4711yescharacteristic
1614C2×C8C23×D4711yescharacteristic
1615C2×C8C23×D4711yescharacteristic
1616C2×C8C23×D4711yescharacteristic
1617C4⋊C4—21no—
1618C4⋊C4—21no—
1619C4⋊C4—471no—
1620C4⋊C4—471no—
1621C4⋊C4—471no—
1622C4⋊C4—471no—
1623C4⋊C4—471no—
1624C4⋊C4—471no—
1625C4⋊C4—471no—
1626C4⋊C4—471no—
1627C4⋊C4—471no—
1628C4⋊C4—941no—
1629C4⋊C4—941no—
1630C4⋊C4—941no—
1631C4⋊C4—941no—
1632C4⋊C4—941no—
1633C4⋊C4—941no—
1634C4⋊C4—941no—
1635C4⋊C4—941no—
1636C4⋊C4—941no—
1637C4⋊C4—941no—
1638C4⋊C4—941no—
1639C4⋊C4—941no—
1640C4⋊C4—941no—
1641C4⋊C4—941no—
1642C4⋊C4—941no—
1643C4⋊C4—941no—
1644C4⋊C4—941no—
1645C4⋊C4—941no—
1646C4⋊C4D4×D4711yescharacteristic
1647C4⋊C4C23×D4711yescharacteristic
1648C4⋊C4C23×D4711yescharacteristic
1649C22⋊C4—21no—
1650C22⋊C4—21no—
1651C22⋊C4—21no—
1652C22⋊C4—21no—
1653C22⋊C4—21no—
1654C22⋊C4—21no—
1655C22⋊C4—21no—
1656C22⋊C4—471no—
1657C22⋊C4—471no—
1658C22⋊C4—471no—
1659C22⋊C4—471no—
1660C22⋊C4—471no—
1661C22⋊C4—471no—
1662C22⋊C4—471no—
1663C22⋊C4—471no—
1664C22⋊C4—941no—
1665C22⋊C4—941no—
1666C22⋊C4—941no—
1667C22⋊C4—941no—
1668C22⋊C4—941no—
1669C22⋊C4—941no—
1670C22⋊C4—941no—
1671C22⋊C4—941no—
1672C22⋊C4—941no—
1673C22⋊C4—941no—
1674C22⋊C4—941no—
1675C22⋊C4—941no—
1676C22⋊C4—941no—
1677C22⋊C4—941no—
1678C22⋊C4—941no—
1679C22⋊C4—941no—
1680C22⋊C4—941no—
1681C22⋊C4—941no—
1682C22⋊C4—941no—
1683C22⋊C4—941no—
1684C22⋊C4—941no—
1685C22⋊C4—941no—
1686C22⋊C4—941no—
1687C22⋊C4—941no—
1688C22⋊C4D4×D4711yescharacteristic
1689C22⋊C4D4×D4711yescharacteristic
1690C42—21no—
1691C42—471no—
1692C42—941no—
1693C42—941no—
1694C42—941no—
1695C42—941no—
1696C42—941no—
1697C42—941no—
1698C42C23×D4711yescharacteristic
1699C23—21no—
1700C23—21no—
1701C23—21no—
1702C23—21no—
1703C23—42no—
1704C23—81no—
1705C23—81no—
1706C23—81no—
1707C23—81no—
1708C23—81no—
1709C23—471no—
1710C23—471no—
1711C23—471no—
1712C23—942no—
1713C23—942no—
1714C23—941no—
1715C23—3761no—
1716C23—3761no—
1717C23—3761no—
1718C23—3761no—
1719C23—3761no—
1720C23—1881no—
1721C23—1882no—
1722C23C2×D4×D4711yescharacteristic
1723C23C2×D4×D4711yescharacteristic
1724Q8—21no—
1725Q8—21no—
1726Q8—21no—
1727Q8—42no—
1728Q8—472no—
1729Q8—944no—
1730Q8—941no—
1731Q8—941no—
1732Q8—941no—
1733Q8—941no—
1734Q8—941no—
1735Q8—1881no—
1736Q8—1882no—
1737Q8—1882no—
1738Q8—1882no—
1739Q8—1882no—
1740Q8—1882no—
1741Q8—1882no—
1742Q8#1309406912yes—
1743D4—22no—
1744D4—21no—
1745D4—21no—
1746D4—21no—
1747D4—21no—
1748D4—21no—
1749D4—21no—
1750D4—21no—
1751D4—21no—
1752D4—42no—
1753D4—42no—
1754D4—42no—
1755D4—81no—
1756D4—81no—
1757D4—81no—
1758D4—81no—
1759D4—81no—
1760D4—942no—
1761D4—942no—
1762D4—942no—
1763D4—941no—
1764D4—941no—
1765D4—3761no—
1766D4—3761no—
1767D4—3761no—
1768D4—3761no—
1769D4—3761no—
1770D4—3761no—
1771D4—3761no—
1772D4—3761no—
1773D4—3761no—
1774D4—3761no—
1775D4—3761no—
1776D4—1881no—
1777D4—1881no—
1778D4—1881no—
1779D4—1882no—
1780D4—1882no—
1781D4—1882no—
1782D4—1882no—
1783D4—1882no—
1784D4—1882no—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—42no—
1794C2×C4—42no—
1795C2×C4—81no—
1796C2×C4—471no—
1797C2×C4—471no—
1798C2×C4—471no—
1799C2×C4—471no—
1800C2×C4—471no—
1801C2×C4—944no—
1802C2×C4—941no—
1803C2×C4—941no—
1804C2×C4—941no—
1805C2×C4—941no—
1806C2×C4—941no—
1807C2×C4—941no—
1808C2×C4—941no—
1809C2×C4—941no—
1810C2×C4—941no—
1811C2×C4—941no—
1812C2×C4—941no—
1813C2×C4—941no—
1814C2×C4—941no—
1815C2×C4—3761no—
1816C2×C4—3761no—
1817C2×C4—3761no—
1818C2×C4—3761no—
1819C2×C4—3761no—
1820C2×C4—1881no—
1821C2×C4—1881no—
1822C2×C4—1882no—
1823C2×C4—1882no—
1824C2×C4—1882no—
1825C2×C4—1882no—
1826C2×C4—1881no—
1827C2×C4—1882no—
1828C2×C4—1882no—
1829C2×C4—1882no—
1830C2×C4—1882no—
1831C2×C4C2×D4×D4711yescharacteristic
1832C2×C4C2×D4×D4711yescharacteristic
1833C2×C4C2×D4×D4711yescharacteristic
1834C2×C4C2×D4×D4711yescharacteristic
1835C2×C4C24×D4711yescharacteristic
1836C8—21no—
1837C8—21no—
1838C8—21no—
1839C8—21no—
1840C8—941no—
1841C8—941no—
1842C8—941no—
1843C8—941no—
1844C22—21no—
1845C22—21no—
1846C22—21no—
1847C22—21no—
1848C22—21no—
1849C22—41no—
1850C22—41no—
1851C22—41no—
1852C22—41no—
1853C22—41no—
1854C22—41no—
1855C22—41no—
1856C22—41no—
1857C22—41no—
1858C22—41no—
1859C22—41no—
1860C22—41no—
1861C22—162no—
1862C22—162no—
1863C22—472no—
1864C22—941no—
1865C22—941no—
1866C22—941no—
1867C22—941no—
1868C22—941no—
1869C22—941no—
1870C22—941no—
1871C22—941no—
1872C22—1884no—
1873C22—1881no—
1874C22—1881no—
1875C22—1881no—
1876C22—7522no—
1877C22—7522no—
1878C22#1568993312yes—
1879C22C22×D4×D4711yescharacteristic
1880C4—21no—
1881C4—21no—
1882C4—21no—
1883C4—21no—
1884C4—22no—
1885C4—41no—
1886C4—41no—
1887C4—41no—
1888C4—941no—
1889C4—941no—
1890C4—941no—
1891C4—941no—
1892C4—941no—
1893C4—942no—
1894C4—1881no—
1895C4—1881no—
1896C4—1881no—
1897C4—1881no—
1898C4—1881no—
1899C4—1881no—
1900C4H(5,𝔽2)×D4711yescharacteristic
1901C4C2×#1309406911yescharacteristic
1902C2—22no—
1903C2—41no—
1904C2—81no—
1905C2—81no—
1906C2—81no—
1907C2—81no—
1908C2—942no—
1909C2—3761no—
1910C2—1881no—
1911C2—1881no—
1912C2#2025701611yescharacteristic
1913C2#577×D4711yescharacteristic
1914C2C2×#1568993311yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3265C2
socleC22×C47C23×D4
hypercenter#3265D47
hypocenterC47#61633
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3265

Complements

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

NH ≅ G/Ntype
1. #20257619C2semidirect
2. #20257034C2semidirect
3. #20255564C2semidirect
4. #20255563C2semidirect
5. #20255561C2semidirect
6. #20255554C2semidirect
7. #20255297C2semidirect
8. #20255296C2semidirect
9. #20255290C2semidirect
10. #20255283C2semidirect
11. #20255082C2semidirect
12. D4×#10625335C2semidirect
13. #20255079C2semidirect
14. SD16×C22⋊D47C2semidirect
15. #20254887C2semidirect
16. #20254882C2semidirect
17. #20254877C2semidirect
18. #20254446C2semidirect
19. #20254444C2semidirect
20. #20254257C2semidirect
21. #20254256C2semidirect
22. #20254150C2semidirect
23. #20254148C2semidirect
24. #20253678C2semidirect
25. #20253677C2semidirect
26. #20252673C2semidirect
27. #20252671C2semidirect
28. C2×#15689260C2semidirect
29. #448×D47C2semidirect
30. #20252439C2semidirect
31. C47×#3265C2semidirect
32. C2×#13094071C22semidirect
33. C22×Q8×D47C22semidirect
34. C2×#13094048C22semidirect
35. C22×#10625335C22semidirect
36. C22×#10625335C22semidirect
37. C2×SD16×D47C22semidirect
38. C2×SD16×D47C22semidirect
39. C2×SD16×D47C22semidirect
46. Q8×D188C22semidirect
48. D4×Dic94C22semidirect
49. Q8×C22⋊D47C22semidirect
51. #15689786C22semidirect
53. #15689781C22semidirect
54. #15689780C22semidirect
56. #15689779C22semidirect
67. #15689696C22semidirect
69. #15689693C22semidirect
75. #15689633C22semidirect
80. #15689599C22semidirect
81. #15689511C22semidirect
82. #15689495C22semidirect
83. #15689494C22semidirect
84. #15689492C22semidirect
85. #15689490C22semidirect
86. #15689477C22semidirect
87. #15689476C22semidirect
88. #15689466C22semidirect
89. #15689465C22semidirect
90. #15689463C22semidirect
91. #15689461C22semidirect
92. #15689460C22semidirect
93. #15689459C22semidirect
94. #15689450C22semidirect
95. #15689446C22semidirect
96. #15689445C22semidirect
97. #15689445C22semidirect
98. #15689440C22semidirect
99. #15689439C22semidirect
100. #15689432C22semidirect
101. #15689431C22semidirect
102. #15689430C22semidirect
103. #15689429C22semidirect
104. #15689369C22semidirect
105. #15689368C22semidirect
106. #15689366C22semidirect
107. #15689357C22semidirect
108. #15689356C22semidirect
109. #15689356C22semidirect
110. #15689354C22semidirect
111. #15689352C22semidirect
112. #15689351C22semidirect
113. #15689351C22semidirect
114. #15689351C22semidirect
115. #15689350C22semidirect
116. #15689350C22semidirect
117. #15689349C22semidirect
118. #15689336C22semidirect
119. #15689336C22semidirect
120. #15689335C22semidirect
121. #15689329C22semidirect
122. #15689328C22semidirect
123. #15689326C22semidirect
124. #15689326C22semidirect
125. #15689322C22semidirect
126. #15689321C22semidirect
127. #15689320C22semidirect
128. #15689275C22semidirect
129. #15689275C22semidirect
130. #15689274C22semidirect
131. #15689274C22semidirect
132. #15689272C22semidirect
133. #15689269C22semidirect
134. #15689268C22semidirect
135. #15689265C22semidirect
136. #15689265C22semidirect
137. #15689265C22semidirect
138. #15689265C22semidirect
139. #15689265C22semidirect
140. #15689264C22semidirect
141. #15689264C22semidirect
142. #15689263C22semidirect
143. #15689263C22semidirect
144. #15689262C22semidirect
145. #15689261C22semidirect
146. #15689261C22semidirect
147. #15689260C22semidirect
148. #15689260C22semidirect
149. #15689260C22semidirect
150. #15689260C22semidirect
151. #15689260C22semidirect
152. #15689260C22semidirect
153. #15689260C22semidirect
154. #15689260C22semidirect
155. #15689260C22semidirect
156. #15689260C22semidirect
157. #15689260C22semidirect
158. #15689260C22semidirect
159. #15689255C22semidirect
160. #15689225C22semidirect
161. #15689224C22semidirect
162. #15689220C22semidirect
163. #15689214C22semidirect
164. SD16×Dic47C22semidirect
165. C4×#10625336C22semidirect
166. C4×#10625335C22semidirect
167. #15689196C22semidirect
168. #15689192C22semidirect
169. #15689191C22semidirect
170. D4×C47⋊C8C22semidirect
171. #15689188C22semidirect
172. C8×C22⋊D47C22semidirect
173. (C22⋊D47)⋊C8C22semidirect
174. #15689185C22semidirect
175. #15689183C22semidirect
176. #15689133C22semidirect
177. #15689130C22semidirect
178. #15689119C22semidirect
179. #15689116C22semidirect
180. C2×#13093949C22semidirect
181. C2×#13093948C22semidirect
182. #103×D47C22semidirect
183. #103×D47C22semidirect
184. #15689091C22semidirect
185. #15689088C22semidirect
186. C2×(C2×D47)⋊C8C22semidirect
187. C22⋊C8×D47C22semidirect
188. C2×AGL(1,ℤ/8)×C47C22semidirect
189. C22×SD16×C47C22semidirect
190. C47×#548C22semidirect
192. C47×#496C22semidirect
193. C47×#468C22semidirect
194. C47×#466C22semidirect
195. C47×#463C22semidirect
196. C47×#460C22semidirect
197. C47×#450C22semidirect
198. C47×#449C22semidirect
199. C47×#448C22semidirect
200. C47×#447C22semidirect
201. C47×#440C22semidirect
202. C47×#435C22semidirect
962. #3265D47semidirect
992. C2×AGL(1,ℤ/8)C2×D47semidirect
998. C22×SD16C2×D47semidirect
1016. #548C2×D47semidirect
1043. #496C2×D47semidirect
1069. #468C2×D47semidirect
1073. #466C2×D47semidirect
1085. #463C2×D47semidirect
1093. #460C2×D47semidirect
1099. #450C2×D47semidirect
1107. #449C2×D47semidirect
1127. #448C2×D47semidirect
1129. #447C2×D47semidirect
1133. #440C2×D47semidirect
1141. #435C2×D47semidirect
1160. C47#61633semidirect

Maximal subgroups

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

subgroupindex
#202576192
#202570342
#202555642
#202555632
#202555612
#202555542
#202552972
#202552962
#202552902
#202552832
#202550822
D4×#106253352
#202550792
SD16×C22⋊D472
#202548872
#202548822
#202548772
#202544462
#202544442
#202542572
#202542562
#202541502
#202541482
#202536782
#202536772
#202526732
#202526712
C2×#156892602
#448×D472
#202524392
C47×#32652
#6163347