Finite Group Databasebeta

← #27111771

Subgroups — #27111771

Order 12032.

1840 conjugacy classes of subgroups.

The subgroup lattice has 1774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257902C211yesmaximal, characteristic, complemented
2#20257396C211yesmaximal, characteristic, complemented
3#20256452C211yesmaximal, characteristic, complemented
4#20256449C211yesmaximal, characteristic, complemented
5#20256206C211yesmaximal, characteristic, complemented
6#20256203C211yesmaximal, characteristic, complemented
7#20255619C211yesmaximal, characteristic, complemented
8#20255612C211yesmaximal, characteristic, complemented
9#20255550C211yesmaximal, characteristic, complemented
10#20255537C211yesmaximal, characteristic, complemented
11#20255456C211yesmaximal, characteristic, complemented
12#20255449C211yesmaximal, characteristic, complemented
13#20255041C211yesmaximal, characteristic, complemented
14#20255038C211yesmaximal, characteristic, complemented
15#20254901C211yesmaximal, characteristic, complemented
16#20254898C211yesmaximal, characteristic, complemented
17#20254877C211yesmaximal, characteristic, complemented
18#20254846C211yesmaximal, characteristic, complemented
19#20254843C211yesmaximal, characteristic, complemented
20#20254770C211yesmaximal, characteristic, complemented
21#20254478C211yesmaximal, characteristic, complemented
22#20254477C211yesmaximal, characteristic, complemented
23#20254388C211yesmaximal, characteristic, complemented
24#20253615C211yesmaximal, characteristic, complemented
25#20253610C211yesmaximal, characteristic, complemented
26#20253532C211yesmaximal, characteristic, complemented
27#20252906C211yesmaximal, characteristic, complemented
28#20252904C211yesmaximal, characteristic, complemented
29#20252880C211yesmaximal, characteristic, complemented
30#20252559C211yesmaximal, characteristic, complemented
31C47×#3265C211yesmaximal, characteristic, complemented
32C2×#13094055C2211yescharacteristic, complemented
33C2×#13094054C2211yescharacteristic, complemented
34C2×#13094053C2211yescharacteristic, complemented
35C2×SD16×D47C2211yescharacteristic, complemented
36#15689868—21no—
37#15689866—21no—
38#15689859C2211yescharacteristic
39#15689856C2211yescharacteristic
40Q8×Dic94C2211yescharacteristic, complemented
41#15689844—21no—
42#15689844C2211yescharacteristic, complemented
43#15689843—21no—
44#15689843C2211yescharacteristic, complemented
45#15689842—21no—
46#15689842C2211yescharacteristic, complemented
47#15689837—21no—
48#15689837C2211yescharacteristic, complemented
49Q8×C22⋊D47C2211yescharacteristic, complemented
50#15689782C2211yescharacteristic
51#15689780C2211yescharacteristic, complemented
52#15689779C2211yescharacteristic
53#15689770C2211yescharacteristic
54#15689767—21no—
55#15689767C2211yescharacteristic
56#15689760—21no—
57D4×C22⋊D47C2211yescharacteristic
58#15689742—21no—
59#15689742C2211yescharacteristic, complemented
60#15689740—21no—
61#15689740C2211yescharacteristic
62#15689740C2211yescharacteristic, complemented
63#15689738C2211yescharacteristic
64#15689708—21no—
65#15689708—21no—
66#15689705—21no—
67#15689690C2211yescharacteristic
68#15689686C2211yescharacteristic
69#15689682—21no—
70#15689675—21no—
71#15689675C2211yescharacteristic, complemented
72#15689668C2211yescharacteristic
73#15689653—21no—
74#15689653C2211yescharacteristic
75C2×#13094011C2211yescharacteristic
76#15689601C2211yescharacteristic, complemented
77#15689599C2211yescharacteristic, complemented
78#41×Dic47C2211yescharacteristic, complemented
79#15689514C2211yescharacteristic, complemented
80#15689514C2211yescharacteristic, complemented
81#15689511C2211yescharacteristic
82#15689506C2211yescharacteristic, complemented
83#15689505C2211yescharacteristic, complemented
84#15689483C2211yescharacteristic, complemented
85#15689481C2211yescharacteristic, complemented
86#15689481C2211yescharacteristic, complemented
87#15689481C2211yescharacteristic, complemented
88#15689469C2211yescharacteristic
89#15689468C2211yescharacteristic
90#15689466C2211yescharacteristic, complemented
91#15689465C2211yescharacteristic, complemented
92#15689448C2211yescharacteristic, complemented
93#15689446C2211yescharacteristic
94#15689444C2211yescharacteristic
95#15689444C2211yescharacteristic, complemented
96#15689419C2211yescharacteristic, complemented
97#15689417C2211yescharacteristic, complemented
98#15689417C2211yescharacteristic, complemented
99#15689416C2211yescharacteristic, complemented
100#15689406C2211yescharacteristic, complemented
101#15689403C2211yescharacteristic, complemented
102#15689402C2211yescharacteristic, complemented
103#15689401C2211yescharacteristic, complemented
104#15689401C2211yescharacteristic, complemented
105#15689401C2211yescharacteristic, complemented
106#15689371C2211yescharacteristic, complemented
107#15689369C2211yescharacteristic, complemented
108#15689368C2211yescharacteristic, complemented
109#15689367C2211yescharacteristic
110#15689367C2211yescharacteristic, complemented
111#15689367C2211yescharacteristic, complemented
112#15689366C2211yescharacteristic
113#15689364C2211yescharacteristic, complemented
114#15689363C2211yescharacteristic, complemented
115#15689356C2211yescharacteristic
116#15689346C2211yescharacteristic, complemented
117#15689345C2211yescharacteristic, complemented
118#15689344C2211yescharacteristic, complemented
119#15689344C2211yescharacteristic, complemented
120#15689344C2211yescharacteristic, complemented
121#15689343C2211yescharacteristic, complemented
122#15689343C2211yescharacteristic, complemented
123#15689343C2211yescharacteristic, complemented
124#15689343C2211yescharacteristic, complemented
125#15689343C2211yescharacteristic, complemented
126#15689343C2211yescharacteristic, complemented
127#15689343C2211yescharacteristic, complemented
128#15689343C2211yescharacteristic, complemented
129#15689342C2211yescharacteristic, complemented
130#15689336C2211yescharacteristic, complemented
131#15689336C2211yescharacteristic, complemented
132#15689336C2211yescharacteristic, complemented
133#15689336C2211yescharacteristic, complemented
134#15689336C2211yescharacteristic, complemented
135#15689327C2211yescharacteristic, complemented
136#15689326C2211yescharacteristic, complemented
137#15689322C2211yescharacteristic, complemented
138#15689321C2211yescharacteristic
139#15689321C2211yescharacteristic
140#15689321C2211yescharacteristic, complemented
141#15689321C2211yescharacteristic, complemented
142#15689320C2211yescharacteristic
143#15689316C2211yescharacteristic, complemented
144#15689287C2211yescharacteristic, complemented
145#15689282C2211yescharacteristic, complemented
146#15689281C2211yescharacteristic, complemented
147#15689280C2211yescharacteristic, complemented
148#15689279C2211yescharacteristic, complemented
149#15689278C2211yescharacteristic, complemented
150#15689274C2211yescharacteristic
151#15689274C2211yescharacteristic, complemented
152#15689272C2211yescharacteristic, complemented
153#15689268C2211yescharacteristic, complemented
154#15689266C2211yescharacteristic, complemented
155#15689265C2211yescharacteristic, complemented
156#15689260C2211yescharacteristic
157#15689255C2211yescharacteristic, complemented
158#15689251C2211yescharacteristic, complemented
159#15689250C2211yescharacteristic, complemented
160#15689235C2211yescharacteristic, complemented
161#15689232C2211yescharacteristic, complemented
162#15689231C2211yescharacteristic, complemented
163#15689227C2211yescharacteristic, complemented
164#15689226C2211yescharacteristic, complemented
165#15689224C2211yescharacteristic, complemented
166#15689224C2211yescharacteristic, complemented
167C4×#10625337C2211yescharacteristic, complemented
168#15689215C2211yescharacteristic, complemented
169SD16×Dic47C2211yescharacteristic, complemented
170C4×#10625335C2211yescharacteristic, complemented
171#15689201C2211yescharacteristic, complemented
172#15689198C2211yescharacteristic, complemented
173#15689197C2211yescharacteristic, complemented
174#15689194C2211yescharacteristic, complemented
175#15689192C2211yescharacteristic, complemented
176#15689185C2211yescharacteristic, complemented
177#15689181C2211yescharacteristic, complemented
178#15689177C2211yescharacteristic, complemented
179#15689149C2211yescharacteristic, complemented
180#15689148C2211yescharacteristic, complemented
181#15689146C2211yescharacteristic, complemented
182#15689133C2211yescharacteristic, complemented
183#15689128C2211yescharacteristic
184#15689128C2211yescharacteristic, complemented
185#15689126C2211yescharacteristic, complemented
186#15689120C2211yescharacteristic, complemented
187#15689116C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C47C2211yescharacteristic
189C22×SD16×C47C2211yescharacteristic, complemented
190C47×#548C2211yescharacteristic, complemented
191D42×C47C2211yescharacteristic
192C47×#496C2211yescharacteristic
193C47×#468C2211yescharacteristic, complemented
194C47×#466C2211yescharacteristic
195C47×#463C2211yescharacteristic, complemented
196C47×#460C2211yescharacteristic
197C47×#450C2211yescharacteristic
198C47×#449C2211yescharacteristic, complemented
199C47×#448C2211yescharacteristic
200C47×#447C2211yescharacteristic, complemented
201C47×#440C2211yescharacteristic, complemented
202C47×#435C2211yescharacteristic, complemented
203C2×#10625350C2311yescharacteristic
204C2×#10625352—21no—
205C2×#10625352C2311yescharacteristic
206C22×Dic94C2311yescharacteristic
207C2×Q8×D47C2311yescharacteristic
208C22×C22⋊D47—21no—
209C2×D4×D47C2311yescharacteristic
210#13094055—42no—
211#13094054—42no—
212#13094053—42no—
213C2×Dic188C2311yescharacteristic
214C2×Dic188C2311yescharacteristic
215C2×#10625337C2311yescharacteristic
216C2×#10625337C2311yescharacteristic
217C2×#10625337C2311yescharacteristic
218C2×#10625337C2311yescharacteristic
219C2×#10625325C2311yescharacteristic
220C2×#10625335C2311yescharacteristic
221C2×#10625335C2311yescharacteristic
222C2×#10625335C2311yescharacteristic
223C2×#10625335C2311yescharacteristic
224C2×#10625335C2311yescharacteristic
225C2×#10625336C2311yescharacteristic
226C2×#10625336C2311yescharacteristic
227SD16×D47—42no—
228C2×#10625334C2311yescharacteristic
229C2×#10625329C2311yescharacteristic
230C2×#10625329C2311yescharacteristic
231C2×#10625324C2311yescharacteristic
232C2×C8×D47C2311yescharacteristic
233#13094024—21no—
234#13094024C2311yescharacteristic
235#13094023—21no—
236#13094023—21no—
237#13094023C2311yescharacteristic
238#13094023C2311yescharacteristic
239#13094023C2311yescharacteristic
240#13094022—21no—
241#13094022C2311yescharacteristic
242#13094020C2311yescharacteristic
243#13094020C2311yescharacteristic
244#13094019—21no—
245#13094019D411yescharacteristic
246#13094017—21no—
247#13094017—21no—
248#13094017—21no—
249#13094017—21no—
250#13094017—21no—
251#13094017—21no—
252#13094017—21no—
253#13094017—21no—
254#13094017—21no—
255#13094017D411yescharacteristic
256#13094014—21no—
257#13094014D411yescharacteristic
258#13094012C2311yescharacteristic
259#13094011—21no—
260#13094011—21no—
261#13094011—21no—
262#13094011—21no—
263#13094011—21no—
264#13094011—21no—
265#13094011—21no—
266#13094011—21no—
267#13094011C2311yescharacteristic
268#13094011C2311yescharacteristic
269#13094011C2311yescharacteristic
270#13094011C2311yescharacteristic
271#13094011C2311yescharacteristic
272#13094011C2311yescharacteristic
273#13094010—21no—
274#13094010—21no—
275#13094010—21no—
276#13094010—21no—
277#13094010—21no—
278#13094010—21no—
279#13094010—21no—
280#13094010—21no—
281#13094010D411yescharacteristic
282#13094008—21no—
283#13094008D411yescharacteristic
284#13094007—21no—
285#13094007—21no—
286#13094006—21no—
287#13094006—21no—
288#13094005—21no—
289#13094005—21no—
290#13094005—21no—
291#13094005—21no—
292#13094005—21no—
293#13094005D411yescharacteristic
294#13094004C2311yescharacteristic
295#13094003—21no—
296#13094003—21no—
297#13094003—21no—
298#13094003C2311yescharacteristic
299#13094003C2311yescharacteristic
300#13094003C2311yescharacteristic
301#13094002—21no—
302#13094001—21no—
303#13094001—21no—
304#13094001—21no—
305#13094001—21no—
306#13094001—21no—
307#13094001—21no—
308#13094001D411yescharacteristic
309#13094000—21no—
310#13094000C2311yescharacteristic
311#13093998C2311yescharacteristic
312#13093996—21no—
313#13093996—21no—
314#13093996—21no—
315#13093996—21no—
316#13093996—21no—
317#13093996—21no—
318#13093996—21no—
319#13093996—21no—
320#13093996D411yescharacteristic
321#13093995—21no—
322#13093995—21no—
323#13093995—21no—
324#13093995—21no—
325#13093995C2311yescharacteristic
326#13093995C2311yescharacteristic
327#13093993—21no—
328#13093993—21no—
329#13093993—21no—
330#13093993—21no—
331#13093992—21no—
332#13093992—21no—
333#13093992—21no—
334#13093992—21no—
335Q8×Dic47—21no—
336Q8×Dic47—21no—
337Q8×Dic47C2311yescharacteristic
338Q8×Dic47C2311yescharacteristic
339Q8×Dic47C2311yescharacteristic
340Q8×Dic47C2311yescharacteristic
341Q8×Dic47C2311yescharacteristic
342C4×Dic94—21no—
343C4×Dic94—21no—
344C4×Dic94C2311yescharacteristic
345C4×Dic94C2311yescharacteristic
346C4×Dic94C2311yescharacteristic
347#13093989—21no—
348#13093989—21no—
349#13093989—21no—
350#13093989—21no—
351#13093989C2311yescharacteristic
352#13093989C2311yescharacteristic
353D4×Dic47—21no—
354D4×Dic47—21no—
355D4×Dic47—21no—
356D4×Dic47—21no—
357D4×Dic47C2311yescharacteristic
358D4×Dic47C2311yescharacteristic
359D4×Dic47C2311yescharacteristic
360D4×Dic47C2311yescharacteristic
361#13093986C2311yescharacteristic
362C4×C22⋊D47—21no—
363C4×C22⋊D47—21no—
364C4×C22⋊D47—21no—
365C4×C22⋊D47C2311yescharacteristic
366C4×C22⋊D47C2311yescharacteristic
367(C22⋊D47)⋊C4—21no—
368(C22⋊D47)⋊C4—21no—
369#13093983—21no—
370#13093983—21no—
371#13093983—21no—
372#13093983C2311yescharacteristic
373#13093983C2311yescharacteristic
374#13093983C2311yescharacteristic
375#13093982—21no—
376#13093982C2311yescharacteristic
377#13093981—21no—
378#13093981C2311yescharacteristic
379#13093980—21no—
380#13093980—21no—
381#13093980—21no—
382C2×C22⋊Dic47—21no—
383C2×C22⋊Dic47—21no—
384C2×C22⋊Dic47—21no—
385C22⋊C4×D47—21no—
386C2×C4×Dic47—21no—
387C2×C4×Dic47C2311yescharacteristic
388#13093958C2311yescharacteristic
389#13093958C2311yescharacteristic
390#13093957C2311yescharacteristic
391#13093957C2311yescharacteristic
392#13093957C2311yescharacteristic
393#13093956C2311yescharacteristic
394#13093955C2311yescharacteristic
395C4⋊(C47⋊C8)C2311yescharacteristic
396Dic47⋊C8C2311yescharacteristic
397Dic47⋊C8C2311yescharacteristic
398Dic47⋊C8C2311yescharacteristic
399Dic47⋊C8C2311yescharacteristic
400Dic47⋊C8C2311yescharacteristic
401Dic47⋊C8C2311yescharacteristic
402Dic47⋊C8C2311yescharacteristic
403Dic47⋊C8C2311yescharacteristic
404#13093949C2311yescharacteristic
405#13093949C2311yescharacteristic
406#13093949C2311yescharacteristic
407#13093949C2311yescharacteristic
408#13093949C2311yescharacteristic
409#13093949C2311yescharacteristic
410#13093949C2311yescharacteristic
411#13093948C2311yescharacteristic
412#13093948C2311yescharacteristic
413#13093947C2311yescharacteristic
414#13093947C2311yescharacteristic
415#13093947C2311yescharacteristic
416#13093946C2311yescharacteristic
417#13093946C2311yescharacteristic
418#13093946C2311yescharacteristic
419#13093945C2311yescharacteristic
420#13093945C2311yescharacteristic
421#13093945C2311yescharacteristic
422#13093945C2311yescharacteristic
423#13093945C2311yescharacteristic
424#13093945C2311yescharacteristic
425#13093945C2311yescharacteristic
426#13093945C2311yescharacteristic
427#13093945C2311yescharacteristic
428#13093945C2311yescharacteristic
429#13093944C2311yescharacteristic
430C22⋊(C47⋊C8)C2311yescharacteristic
431C22⋊(C47⋊C8)C2311yescharacteristic
432(C2×D47)⋊C8C2311yescharacteristic
433(C2×D47)⋊C8C2311yescharacteristic
434#13093934C2311yescharacteristic
435#13093934C2311yescharacteristic
436#13093934C2311yescharacteristic
437C4×C47⋊C8C2311yescharacteristic
438C8×Dic47C2311yescharacteristic
439C2×#41×C47C2311yescharacteristic
440C22×Q8×C47C2311yescharacteristic
441C22×D4×C47—21no—
442C22×D4×C47C2311yescharacteristic
443C22×D4×C47C2311yescharacteristic
444AGL(1,ℤ/8)×C47—42no—
445C2×SD16×C47—42no—
446C2×SD16×C47C2311yescharacteristic
447C2×SD16×C47C2311yescharacteristic
448C2×SD16×C47C2311yescharacteristic
449C2×SD16×C47C2311yescharacteristic
450C2×SD16×C47C2311yescharacteristic
451C2×SD16×C47C2311yescharacteristic
452C2×D8×C47C2311yescharacteristic
453C2×D8×C47C2311yescharacteristic
454C2×D8×C47C2311yescharacteristic
455C2×M16×C47C2311yescharacteristic
456C22×C8×C47C2311yescharacteristic
457#127×C47C2311yescharacteristic
458#124×C47—21no—
459#124×C47C2311yescharacteristic
460C22⋊Q8×C47—21no—
461C22⋊Q8×C47C2311yescharacteristic
462#121×C47—21no—
463#121×C47—21no—
464#121×C47C2311yescharacteristic
465#121×C47C2311yescharacteristic
466#121×C47C2311yescharacteristic
467#120×C47—21no—
468#120×C47—21no—
469C4×Q8×C47C2311yescharacteristic
470C4×D4×C47—21no—
471C4×D4×C47C2311yescharacteristic
472C4×D4×C47C2311yescharacteristic
473#107×C47C2311yescharacteristic
474C4⋊C8×C47C2311yescharacteristic
475#103×C47C2311yescharacteristic
476#103×C47C2311yescharacteristic
477#102×C47C2311yescharacteristic
478#102×C47C2311yescharacteristic
479#102×C47C2311yescharacteristic
480#102×C47C2311yescharacteristic
481C22⋊C8×C47C2311yescharacteristic
482C22⋊C8×C47C2311yescharacteristic
483#97×C47C2311yescharacteristic
484C24×C47—21no—
485C24×C47—21no—
486C23×D47—21no—
487#41×C47—22no—
488#41×C47—41no—
489C2×Q8×C47—21no—
490C2×Q8×C47—22no—
491C2×Q8×C47—41no—
492C2×Q8×C47C2411yescharacteristic
493C2×Q8×C47C2411yescharacteristic
494C2×D4×C47—21no—
495C2×D4×C47—21no—
496C2×D4×C47—21no—
497C2×D4×C47—21no—
498C2×D4×C47—21no—
499C2×D4×C47—21no—
500C2×D4×C47—21no—
501C2×D4×C47—21no—
502C2×D4×C47—41no—
503C2×D4×C47—41no—
504C2×D4×C47—41no—
505C2×D4×C47—41no—
506C2×D4×C47—82no—
507C2×D4×C47C2×D411yescharacteristic
508C2×D4×C47C2411yescharacteristic
509C2×D4×C47C2411yescharacteristic
510C2×D4×C47C2411yescharacteristic
511C2×D4×C47C2411yescharacteristic
512C22×C4×C47—21no—
513C22×C4×C47—21no—
514C22×C4×C47—21no—
515C22×C4×C47C2411yescharacteristic
516C22×C4×C47C2411yescharacteristic
517C2×C22⋊D47—21no—
518C2×C22⋊D47—21no—
519C2×C22⋊D47—21no—
520C2×C22⋊D47—21no—
521C2×C22⋊D47—21no—
522C2×C22⋊D47—21no—
523C2×C22⋊D47—21no—
524C2×C22⋊D47—21no—
525C2×C22⋊D47—21no—
526C2×C22⋊D47—21no—
527C2×C22⋊D47—82no—
528C2×C22⋊D47C2×D411yescharacteristic
529C2×C22⋊D47C2×D411yescharacteristic
530C22×Dic47—21no—
531C22×Dic47—21no—
532C22×Dic47—21no—
533C22×Dic47—21no—
534C22×Dic47—21no—
535C22×Dic47—21no—
536C22×Dic47C2×D411yescharacteristic
537C22×Dic47C2×D411yescharacteristic
538Q8×D47—22no—
539Q8×D47—41no—
540#10625352—41no—
541#10625352—41no—
542#10625352—82no—
543D4×D47—41no—
544D4×D47—41no—
545#10625350—41no—
546#10625350—41no—
547C2×D188C2411yescharacteristic
548C2×C4×D47—21no—
549C2×C4×D47—21no—
550C2×C4×D47—21no—
551C2×C4×D47C2411yescharacteristic
552C2×Dic94—21no—
553C2×Dic94—21no—
554C2×Dic94—21no—
555C2×Dic94—21no—
556C2×Dic94—21no—
557C2×Dic94—21no—
558C2×Dic94—41no—
559C2×Dic94—41no—
560C2×Dic94C2×D411yescharacteristic
561C2×Dic94C2411yescharacteristic
562C2×Dic94C2411yescharacteristic
563C2×Dic94C2411yescharacteristic
564SD16×C47—22no—
565SD16×C47—22no—
566SD16×C47—22no—
567SD16×C47—41no—
568SD16×C47—41no—
569SD16×C47—41no—
570D8×C47—41no—
571D8×C47—41no—
572D8×C47—41no—
573M16×C47—41no—
574C2×C8×C47—41no—
575C2×C8×C47C2411yescharacteristic
576C2×C8×C47C2411yescharacteristic
577C2×C8×C47C2411yescharacteristic
578C2×C8×C47C2411yescharacteristic
579C4⋊C4×C47—21no—
580C4⋊C4×C47—21no—
581C4⋊C4×C47C2×D411yescharacteristic
582C4⋊C4×C47C2411yescharacteristic
583C4⋊C4×C47C2411yescharacteristic
584C22⋊C4×C47—21no—
585C22⋊C4×C47—21no—
586C22⋊C4×C47—21no—
587C22⋊C4×C47—21no—
588C22⋊C4×C47—21no—
589C22⋊C4×C47—21no—
590C22⋊C4×C47—21no—
591C22⋊C4×C47C2×D411yescharacteristic
592C22⋊C4×C47C2×D411yescharacteristic
593C42×C47—21no—
594C42×C47C2411yescharacteristic
595C22⋊Dic47—21no—
596C22⋊Dic47—21no—
597C22⋊Dic47—21no—
598C22⋊Dic47—21no—
599C22⋊Dic47—21no—
600C22⋊Dic47—21no—
601C22⋊Dic47—21no—
602C22⋊Dic47—21no—
603C22⋊Dic47—21no—
604C22⋊Dic47—21no—
605C22⋊Dic47—21no—
606C22⋊Dic47—21no—
607C22⋊Dic47—21no—
608C22⋊Dic47—21no—
609C22⋊Dic47—21no—
610C22⋊Dic47—21no—
611C22⋊Dic47—21no—
612C22⋊Dic47—21no—
613C22⋊Dic47—21no—
614C22⋊Dic47—21no—
615C22⋊Dic47—21no—
616C22⋊Dic47—21no—
617C22⋊Dic47—21no—
618C22⋊Dic47C2×D411yescharacteristic
619C22⋊Dic47C2×D411yescharacteristic
620C22⋊Dic47C2×D411yescharacteristic
621C22⋊Dic47C2×D411yescharacteristic
622#10625337—22no—
623#10625337—22no—
624#10625337—41no—
625#10625337—41no—
626#10625336—22no—
627#10625336—41no—
628#10625335—41no—
629#10625335—41no—
630#10625335—41no—
631#10625335—41no—
632#10625335—41no—
633#10625334—41no—
634(C2×D47)⋊C4—21no—
635(C2×D47)⋊C4—21no—
636(C2×D47)⋊C4—21no—
637(C2×D47)⋊C4—21no—
638(C2×D47)⋊C4—21no—
639(C2×D47)⋊C4—21no—
640(C2×D47)⋊C4—21no—
641(C2×D47)⋊C4C2×D411yescharacteristic
642(C2×D47)⋊C4C2×D411yescharacteristic
643(C2×D47)⋊C4C2×D411yescharacteristic
644(C2×D47)⋊C4C2×D411yescharacteristic
645C4⋊Dic47—21no—
646C4⋊Dic47—21no—
647C4⋊Dic47—21no—
648C4⋊Dic47—21no—
649C4⋊Dic47—21no—
650C4⋊Dic47—21no—
651C4⋊Dic47—21no—
652C4⋊Dic47C2×D411yescharacteristic
653C4⋊Dic47C2×D411yescharacteristic
654C4⋊Dic47C2×D411yescharacteristic
655C4⋊Dic47C2411yescharacteristic
656C4⋊Dic47C2411yescharacteristic
657C4⋊Dic47C2411yescharacteristic
658C4⋊Dic47C2411yescharacteristic
659Dic47⋊C4—21no—
660Dic47⋊C4—21no—
661Dic47⋊C4—21no—
662Dic47⋊C4—21no—
663Dic47⋊C4—21no—
664Dic47⋊C4—21no—
665Dic47⋊C4—21no—
666Dic47⋊C4—21no—
667Dic47⋊C4—21no—
668Dic47⋊C4—21no—
669Dic47⋊C4—21no—
670Dic47⋊C4—21no—
671Dic47⋊C4—21no—
672Dic47⋊C4C2×D411yescharacteristic
673Dic47⋊C4C2×D411yescharacteristic
674Dic47⋊C4C2×D411yescharacteristic
675Dic47⋊C4C2×D411yescharacteristic
676Dic47⋊C4C2×D411yescharacteristic
677Dic47⋊C4C2×D411yescharacteristic
678C4×Dic47—21no—
679C4×Dic47—21no—
680C4×Dic47—21no—
681C4×Dic47—21no—
682C4×Dic47—21no—
683C4×Dic47—21no—
684C4×Dic47—21no—
685C4×Dic47—21no—
686C4×Dic47—21no—
687C4×Dic47—21no—
688C4×Dic47—21no—
689C4×Dic47—21no—
690C4×Dic47C2×D411yescharacteristic
691C4×Dic47C2×D411yescharacteristic
692C4×Dic47C2411yescharacteristic
693C4×Dic47C2411yescharacteristic
694C4×Dic47C2411yescharacteristic
695#10625329—41no—
696#10625329—41no—
697C2×C47⋊C8C2411yescharacteristic
698C2×C47⋊C8C2411yescharacteristic
699C2×C47⋊C8C2411yescharacteristic
700C2×C47⋊C8C2411yescharacteristic
701Dic188—41no—
702Dic188—41no—
703#10625325—41no—
704#10625324—41no—
705C8×D47—41no—
706C23×C47—21no—
707C23×C47—21no—
708C23×C47—21no—
709C23×C47—21no—
710C23×C47—42no—
711C23×C47—81no—
712C23×C47—81no—
713C23×C47—81no—
714C23×C47—81no—
715C23×C47—81no—
716C23×C47C22×D411yescharacteristic
717C23×C47C22×D411yescharacteristic
718C22×D47—21no—
719C22×D47—81no—
720C22×D47—81no—
721C22×D47—81no—
722C22×D47C22×D411yescharacteristic
723Q8×C47—21no—
724Q8×C47—21no—
725Q8×C47—21no—
726Q8×C47—42no—
727Q8×C47H(5,𝔽2)12yes—
728D4×C47—21no—
729D4×C47—21no—
730D4×C47—21no—
731D4×C47—21no—
732D4×C47—21no—
733D4×C47—21no—
734D4×C47—21no—
735D4×C47—21no—
736D4×C47—41no—
737D4×C47—42no—
738D4×C47—42no—
739D4×C47—81no—
740D4×C47—81no—
741D4×C47—81no—
742D4×C47—81no—
743D4×C47—81no—
744D4×C47—81no—
745C2×C4×C47—21no—
746C2×C4×C47—21no—
747C2×C4×C47—21no—
748C2×C4×C47—21no—
749C2×C4×C47—21no—
750C2×C4×C47—21no—
751C2×C4×C47—21no—
752C2×C4×C47—21no—
753C2×C4×C47—42no—
754C2×C4×C47—42no—
755C2×C4×C47—81no—
756C2×C4×C47C22×D411yescharacteristic
757C2×C4×C47C22×D411yescharacteristic
758C2×C4×C47C22×D411yescharacteristic
759C2×C4×C47C22×D411yescharacteristic
760C2×C4×C47C2511yescharacteristic
761C22⋊D47—41no—
762C22⋊D47—41no—
763C22⋊D47—42no—
764C22⋊D47—81no—
765C22⋊D47—81no—
766C22⋊D47—81no—
767C22⋊D47—81no—
768C22⋊D47—81no—
769C22⋊D47—81no—
770C22⋊D47—81no—
771C22⋊D47—81no—
772C22⋊D47—81no—
773C2×Dic47—21no—
774C2×Dic47—21no—
775C2×Dic47—21no—
776C2×Dic47—21no—
777C2×Dic47—21no—
778C2×Dic47—21no—
779C2×Dic47—21no—
780C2×Dic47—41no—
781C2×Dic47—41no—
782C2×Dic47—42no—
783C2×Dic47—81no—
784C2×Dic47—81no—
785C2×Dic47—81no—
786C2×Dic47—81no—
787C2×Dic47—81no—
788C2×Dic47C22×D411yescharacteristic
789C2×Dic47C22×D411yescharacteristic
790C2×Dic47C22×D411yescharacteristic
791C2×Dic47C22×D411yescharacteristic
792C2×Dic47C22×D411yescharacteristic
793C2×Dic47C22×D411yescharacteristic
794C2×Dic47C22×D411yescharacteristic
795D188—21no—
796D188—21no—
797C4×D47—21no—
798C4×D47—21no—
799C4×D47—42no—
800C4×D47—81no—
801C4×D47—81no—
802Dic94—21no—
803Dic94—21no—
804Dic94—21no—
805Dic94—21no—
806Dic94—21no—
807Dic94—21no—
808Dic94—41no—
809Dic94—42no—
810Dic94—81no—
811Dic94—81no—
812Dic94—81no—
813Dic94—81no—
814Dic94—81no—
815C8×C47—21no—
816C8×C47—21no—
817C8×C47—21no—
818C8×C47—21no—
819C47⋊C8—21no—
820C47⋊C8—21no—
821C47⋊C8—21no—
822C47⋊C8—21no—
823#62092—471nomaximal, Sylow
824C22×C47—21no—
825C22×C47—21no—
826C22×C47—21no—
827C22×C47—21no—
828C22×C47—21no—
829C22×C47—21no—
830C22×C47—41no—
831C22×C47—41no—
832C22×C47—41no—
833C22×C47—41no—
834C22×C47—41no—
835C22×C47—41no—
836C22×C47—41no—
837C22×C47—41no—
838C22×C47—41no—
839C22×C47—41no—
840C22×C47—41no—
841C22×C47—41no—
842C22×C47—162no—
843C22×C47—162no—
844C22×C47C23×D411yescharacteristic
845C2×D47—21no—
846C2×D47—21no—
847C2×D47—21no—
848C2×D47—41no—
849C2×D47—41no—
850C2×D47—41no—
851C2×D47—162no—
852C4×C47—21no—
853C4×C47—21no—
854C4×C47—22no—
855C4×C47—21no—
856C4×C47—21no—
857C4×C47—41no—
858C4×C47—41no—
859C4×C47—41no—
860C4×C47C2×H(5,𝔽2)11yescharacteristic
861C4×C47#58511yescharacteristic
862Dic47—21no—
863Dic47—21no—
864Dic47—21no—
865Dic47—21no—
866Dic47—21no—
867Dic47—21no—
868Dic47—21no—
869Dic47—41no—
870Dic47—41no—
871Dic47—41no—
872Dic47—41no—
873Dic47—41no—
874Dic47—41no—
875Dic47—41no—
876#3558—471no—
877#3518—471no—
878#3401—471no—
879#3401—471no—
880#3375—471no—
881#3375—471no—
882#3324—471no—
883#3324—471no—
884#3319—471no—
885#3319—471no—
886#3313—471no—
887#3313—471no—
888#3277—471no—
889#3277—471no—
890#3266—471no—
891#3266—471no—
892#3265—471no—
893#3265D4711yescharacteristic, complemented
894#3262—471no—
895#3262—471no—
896#3254—471no—
897#3224—471no—
898#3224—471no—
899#3215—471no—
900#3121—471no—
901#3121—471no—
902#3115—471no—
903#3043—471no—
904#3043—471no—
905#3040—471no—
906#2995—471no—
907C2×C47—41no—
908C2×C47—41no—
909C2×C47—81no—
910C2×C47—81no—
911C2×C47—81no—
912C2×C47—81no—
913C2×C47#348811yescharacteristic
914C2×C47#358511yescharacteristic
915C2×C47#358611yescharacteristic
916D47—41no—
917D47—81no—
918C2×#137—471no—
919C2×#137—471no—
920C2×#137—471no—
921C2×AGL(1,ℤ/8)C2×D4711yescharacteristic
922C22×SD16—471no—
923C22×SD16C2×D4711yescharacteristic, complemented
924#562—941no—
925H(3,𝔽4)—941no—
926#559—471no—
927#559—471no—
928Q82—471no—
929#556—471no—
930#556—471no—
931#556—471no—
932#556—941no—
933#556—941no—
934#556—941no—
935#555—471no—
936#555—941no—
937D4×Q8—471no—
938#548—471no—
939#548—471no—
940#548—471no—
941#548C2×D4711yescharacteristic, complemented
942#546—471no—
943#546—471no—
944#546—941no—
945#546—941no—
946D42—471no—
947D42C2×D4711yescharacteristic
948#542—471no—
949#542—471no—
950#542—471no—
951#542—471no—
952#542—941no—
953#542—941no—
954#538—941no—
955#538—941no—
956#538—941no—
957#535—471no—
958#535—471no—
959#534—941no—
960#533—471no—
961#533—941no—
962#532—471no—
963#529—471no—
964#529—941no—
965C2×#124—471no—
966#519—471no—
967#519—471no—
968C4×#41—471no—
969#497—471no—
970#497—471no—
971#496—471no—
972#496C2×D4711yescharacteristic
973#495—471no—
974#495—471no—
975#489—471no—
976#489—471no—
977#489—471no—
978#489—471no—
979#486—471no—
980#486—471no—
981#485—471no—
982#485—471no—
983#482—471no—
984#482—471no—
985#482—471no—
986#482—471no—
987#477—471no—
988#477—471no—
989#477—471no—
990#477—471no—
991#475—471no—
992#474—471no—
993#474—471no—
994#474—471no—
995#474—471no—
996#474—471no—
997#468—471no—
998#468—471no—
999#468—471no—
1000#468—471no—
1001#468—471no—
1002#468—471no—
1003#468—471no—
1004#468C2×D4711yescharacteristic, complemented
1005#467—471no—
1006#467—471no—
1007#466—471no—
1008#466C2×D4711yescharacteristic
1009#464—471no—
1010#464—471no—
1011#464—471no—
1012#464—471no—
1013#464—471no—
1014#464—471no—
1015#464—471no—
1016#464—471no—
1017#464—471no—
1018#464—471no—
1019#464—471no—
1020#464—471no—
1021#464—471no—
1022#464—471no—
1023#463—471no—
1024#463—471no—
1025#463—471no—
1026#463—471no—
1027#463—471no—
1028#463C2×D4711yescharacteristic, complemented
1029#461—471no—
1030#461—471no—
1031#460—471no—
1032#460—471no—
1033#460—471no—
1034#460—471no—
1035#460—471no—
1036#460—471no—
1037#460C2×D4711yescharacteristic
1038#459—471no—
1039#452—471no—
1040#452—471no—
1041#451—471no—
1042#451—471no—
1043#451—471no—
1044#451—471no—
1045#450—471no—
1046#450—471no—
1047#450—471no—
1048#450C2×D4711yescharacteristic
1049#449—471no—
1050#449—471no—
1051#449—471no—
1052#449C2×D4711yescharacteristic, complemented
1053#448—471no—
1054#448C2×D4711yescharacteristic
1055#447—471no—
1056#447C2×D4711yescharacteristic, complemented
1057#446—471no—
1058#446—471no—
1059#442—471no—
1060#442—471no—
1061#441—471no—
1062#441—471no—
1063#440—471no—
1064#440—471no—
1065#440—471no—
1066#440C2×D4711yescharacteristic, complemented
1067C4×Q16—471no—
1068C4×Q16—471no—
1069C4×SD16—471no—
1070C4×SD16—471no—
1071#436—471no—
1072#436—471no—
1073#435—471no—
1074#435—471no—
1075#435—471no—
1076#435C2×D4711yescharacteristic, complemented
1077#433—471no—
1078#433—471no—
1079#432—471no—
1080#424—471no—
1081#424—471no—
1082#423—471no—
1083#419—471no—
1084#418—471no—
1085#418—471no—
1086#418—471no—
1087#416—471no—
1088#416—471no—
1089C47#6209211yescharacteristic, complemented, Sylow
1090C2×#41—471no—
1091C2×#41—471no—
1092C2×#41—941no—
1093C2×#41C22×D4711yescharacteristic
1094C22×Q8—471no—
1095C22×Q8—471no—
1096C22×Q8C22×D4711yescharacteristic
1097C22×D4—21no—
1098C22×D4—471no—
1099C22×D4—941no—
1100C22×D4C22×D4711yescharacteristic
1101C22×D4C22×D4711yescharacteristic
1102#137—1882no—
1103#137—1882no—
1104#137—1882no—
1105AGL(1,ℤ/8)—42no—
1106C2×Q16—471no—
1107C2×Q16—471no—
1108C2×Q16—471no—
1109C2×Q16—471no—
1110C2×Q16—471no—
1111C2×Q16—471no—
1112C2×SD16—42no—
1113C2×SD16—471no—
1114C2×SD16—471no—
1115C2×SD16—471no—
1116C2×SD16—471no—
1117C2×SD16—471no—
1118C2×SD16—471no—
1119C2×SD16—471no—
1120C2×SD16—471no—
1121C2×SD16—1882no—
1122C2×SD16C22×D4711yescharacteristic
1123C2×SD16C22×D4711yescharacteristic
1124C2×SD16C22×D4711yescharacteristic
1125C2×SD16C22×D4711yescharacteristic
1126C2×SD16C22×D4711yescharacteristic
1127C2×SD16C22×D4711yescharacteristic
1128C2×D8—471no—
1129C2×D8C22×D4711yescharacteristic
1130C2×D8C22×D4711yescharacteristic
1131C2×D8C22×D4711yescharacteristic
1132C2×M16—471no—
1133C2×M16—471no—
1134C2×M16—471no—
1135C2×M16C22×D4711yescharacteristic
1136C22×C8—471no—
1137C22×C8C22×D4711yescharacteristic
1138C4⋊Q8—471no—
1139C4⋊Q8—471no—
1140C4⋊Q8—471no—
1141C4⋊Q8—471no—
1142C4⋊Q8—471no—
1143C4⋊Q8—941no—
1144C4⋊Q8—941no—
1145C4⋊Q8—941no—
1146C4⋊Q8—941no—
1147#127—471no—
1148#127—471no—
1149#127C22×D4711yescharacteristic
1150#126—471no—
1151#126—471no—
1152#126—941no—
1153#126—941no—
1154#126—941no—
1155#126—941no—
1156#126—941no—
1157#126—941no—
1158#126—941no—
1159#126—941no—
1160#126—941no—
1161#126—941no—
1162#125—471no—
1163#125—941no—
1164#124—21no—
1165#124—471no—
1166#124—471no—
1167#124—471no—
1168#124—471no—
1169#124—471no—
1170#124—471no—
1171#124—471no—
1172#124—471no—
1173#124—941no—
1174#124—941no—
1175#124—941no—
1176#124—941no—
1177#124—941no—
1178#124—941no—
1179#124—941no—
1180#124—941no—
1181#124—941no—
1182#124—941no—
1183#124—941no—
1184#124—941no—
1185#124—941no—
1186#124—941no—
1187#124—941no—
1188#124—941no—
1189#124C22×D4711yescharacteristic
1190#123—471no—
1191#123—471no—
1192#123—941no—
1193#123—941no—
1194#123—941no—
1195#123—941no—
1196#123—941no—
1197#123—941no—
1198#123—941no—
1199#123—941no—
1200#123—941no—
1201#123—941no—
1202C22⋊Q8—21no—
1203C22⋊Q8—471no—
1204C22⋊Q8—471no—
1205C22⋊Q8—471no—
1206C22⋊Q8—471no—
1207C22⋊Q8—471no—
1208C22⋊Q8—471no—
1209C22⋊Q8—941no—
1210C22⋊Q8—941no—
1211C22⋊Q8—941no—
1212C22⋊Q8—941no—
1213C22⋊Q8—941no—
1214C22⋊Q8—941no—
1215C22⋊Q8—941no—
1216C22⋊Q8—941no—
1217C22⋊Q8—941no—
1218C22⋊Q8—941no—
1219C22⋊Q8—941no—
1220C22⋊Q8C22×D4711yescharacteristic
1221#121—21no—
1222#121—21no—
1223#121—471no—
1224#121—471no—
1225#121—471no—
1226#121—471no—
1227#121—941no—
1228#121—941no—
1229#121—941no—
1230#121—941no—
1231#121—941no—
1232#121—941no—
1233#121—941no—
1234#121—941no—
1235#121—941no—
1236#121—941no—
1237#121—941no—
1238#121—941no—
1239#121C22×D4711yescharacteristic
1240#121C22×D4711yescharacteristic
1241#121C22×D4711yescharacteristic
1242#120—21no—
1243#120—21no—
1244#120—941no—
1245#120—941no—
1246#120—941no—
1247#120—941no—
1248#120—941no—
1249#120—941no—
1250#120—941no—
1251#120—941no—
1252C4×Q8—471no—
1253C4×Q8—471no—
1254C4×Q8—471no—
1255C4×Q8—471no—
1256C4×Q8—471no—
1257C4×Q8—471no—
1258C4×Q8—471no—
1259C4×Q8—471no—
1260C4×Q8—471no—
1261C4×Q8—471no—
1262C4×Q8—941no—
1263C4×Q8—941no—
1264C4×Q8—941no—
1265C4×Q8—941no—
1266C4×Q8—941no—
1267C4×Q8—941no—
1268C4×Q8—941no—
1269C4×Q8—941no—
1270C4×Q8C22×D4711yescharacteristic
1271C4×D4—21no—
1272C4×D4—471no—
1273C4×D4—471no—
1274C4×D4—471no—
1275C4×D4—471no—
1276C4×D4—471no—
1277C4×D4—471no—
1278C4×D4—471no—
1279C4×D4—941no—
1280C4×D4—941no—
1281C4×D4—941no—
1282C4×D4—941no—
1283C4×D4—941no—
1284C4×D4—941no—
1285C4×D4—941no—
1286C4×D4—941no—
1287C4×D4—941no—
1288C4×D4C22×D4711yescharacteristic
1289C4×D4C22×D4711yescharacteristic
1290#117—471no—
1291#117—471no—
1292#117—471no—
1293#117—471no—
1294#117—471no—
1295#117—941no—
1296#117—941no—
1297#117—941no—
1298#117—941no—
1299#117—941no—
1300#117—941no—
1301#117—941no—
1302#117—941no—
1303C2×C22⋊C4—941no—
1304C2×C22⋊C4—941no—
1305C2×C22⋊C4—941no—
1306C2×C22⋊C4—941no—
1307C2×C42—471no—
1308C2×C42—941no—
1309#107—471no—
1310#107—471no—
1311#107—471no—
1312#107—471no—
1313#107—471no—
1314#107C22×D4711yescharacteristic
1315#106—471no—
1316#106—471no—
1317C4⋊C8—471no—
1318C4⋊C8—471no—
1319C4⋊C8—471no—
1320C4⋊C8—471no—
1321C4⋊C8—471no—
1322C4⋊C8—471no—
1323C4⋊C8—471no—
1324C4⋊C8—471no—
1325C4⋊C8—471no—
1326C4⋊C8C22×D4711yescharacteristic
1327#103—471no—
1328#103—471no—
1329#103—471no—
1330#103—471no—
1331#103—471no—
1332#103—471no—
1333#103—471no—
1334#103—471no—
1335#103—471no—
1336#103—471no—
1337#103—471no—
1338#103—471no—
1339#103C22×D4711yescharacteristic
1340#103C22×D4711yescharacteristic
1341#102—471no—
1342#102—471no—
1343#102—471no—
1344#102—471no—
1345#102—471no—
1346#102—471no—
1347#102—471no—
1348#102—471no—
1349#102—471no—
1350#102—471no—
1351#102—471no—
1352#102—471no—
1353#102—471no—
1354#102—471no—
1355#102C22×D4711yescharacteristic
1356#102C22×D4711yescharacteristic
1357#102C22×D4711yescharacteristic
1358#102C22×D4711yescharacteristic
1359C22⋊C8—471no—
1360C22⋊C8—471no—
1361C22⋊C8—471no—
1362C22⋊C8—471no—
1363C22⋊C8C22×D4711yescharacteristic
1364C22⋊C8C22×D4711yescharacteristic
1365#97—471no—
1366#97—471no—
1367#97—471no—
1368#97C22×D4711yescharacteristic
1369C4×C8—471no—
1370C4×C8—471no—
1371C24—21no—
1372C24—21no—
1373C24—941no—
1374#41—22no—
1375#41—41no—
1376#41—3762no—
1377#41—1881no—
1378#41—1881no—
1379#41—1881no—
1380#41—1881no—
1381C2×Q8—21no—
1382C2×Q8—22no—
1383C2×Q8—41no—
1384C2×Q8—471no—
1385C2×Q8—471no—
1386C2×Q8—471no—
1387C2×Q8—471no—
1388C2×Q8—941no—
1389C2×Q8—941no—
1390C2×Q8—941no—
1391C2×Q8—941no—
1392C2×Q8—941no—
1393C2×Q8—941no—
1394C2×Q8—942no—
1395C2×Q8—1881no—
1396C2×Q8—1881no—
1397C2×Q8—1881no—
1398C2×Q8C23×D4711yescharacteristic
1399C2×Q8C23×D4711yescharacteristic
1400C2×D4—21no—
1401C2×D4—21no—
1402C2×D4—21no—
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—41no—
1409C2×D4—41no—
1410C2×D4—41no—
1411C2×D4—41no—
1412C2×D4—82no—
1413C2×D4—471no—
1414C2×D4—471no—
1415C2×D4—471no—
1416C2×D4—941no—
1417C2×D4—941no—
1418C2×D4—941no—
1419C2×D4—941no—
1420C2×D4—941no—
1421C2×D4—941no—
1422C2×D4—941no—
1423C2×D4—941no—
1424C2×D4—941no—
1425C2×D4—941no—
1426C2×D4—3762no—
1427C2×D4—1881no—
1428C2×D4—1881no—
1429C2×D4D4×D4711yescharacteristic
1430C2×D4C23×D4711yescharacteristic
1431C2×D4C23×D4711yescharacteristic
1432C2×D4C23×D4711yescharacteristic
1433C2×D4C23×D4711yescharacteristic
1434C22×C4—21no—
1435C22×C4—21no—
1436C22×C4—21no—
1437C22×C4—471no—
1438C22×C4—471no—
1439C22×C4—471no—
1440C22×C4—941no—
1441C22×C4—941no—
1442C22×C4—941no—
1443C22×C4—941no—
1444C22×C4—941no—
1445C22×C4—941no—
1446C22×C4—941no—
1447C22×C4—941no—
1448C22×C4—941no—
1449C22×C4C23×D4711yescharacteristic
1450C22×C4C23×D4711yescharacteristic
1451Q16—942no—
1452Q16—942no—
1453Q16—1881no—
1454Q16—1881no—
1455Q16—1881no—
1456Q16—1881no—
1457SD16—22no—
1458SD16—22no—
1459SD16—22no—
1460SD16—41no—
1461SD16—41no—
1462SD16—41no—
1463SD16—942no—
1464SD16—1881no—
1465SD16—1881no—
1466SD16—1881no—
1467SD16—1881no—
1468SD16—1881no—
1469SD16—1881no—
1470SD16—1881no—
1471D8—41no—
1472D8—41no—
1473D8—41no—
1474D8—1881no—
1475M16—41no—
1476M16—1881no—
1477M16—1881no—
1478M16—1881no—
1479C2×C8—41no—
1480C2×C8—471no—
1481C2×C8—471no—
1482C2×C8—471no—
1483C2×C8—471no—
1484C2×C8—1881no—
1485C2×C8C23×D4711yescharacteristic
1486C2×C8C23×D4711yescharacteristic
1487C2×C8C23×D4711yescharacteristic
1488C2×C8C23×D4711yescharacteristic
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—471no—
1492C4⋊C4—471no—
1493C4⋊C4—471no—
1494C4⋊C4—471no—
1495C4⋊C4—471no—
1496C4⋊C4—471no—
1497C4⋊C4—471no—
1498C4⋊C4—471no—
1499C4⋊C4—471no—
1500C4⋊C4—471no—
1501C4⋊C4—471no—
1502C4⋊C4—471no—
1503C4⋊C4—471no—
1504C4⋊C4—941no—
1505C4⋊C4—941no—
1506C4⋊C4—941no—
1507C4⋊C4—941no—
1508C4⋊C4—941no—
1509C4⋊C4—941no—
1510C4⋊C4—941no—
1511C4⋊C4—941no—
1512C4⋊C4—941no—
1513C4⋊C4—941no—
1514C4⋊C4—941no—
1515C4⋊C4—941no—
1516C4⋊C4—941no—
1517C4⋊C4—941no—
1518C4⋊C4—941no—
1519C4⋊C4—941no—
1520C4⋊C4—941no—
1521C4⋊C4—941no—
1522C4⋊C4—941no—
1523C4⋊C4—941no—
1524C4⋊C4D4×D4711yescharacteristic
1525C4⋊C4C23×D4711yescharacteristic
1526C4⋊C4C23×D4711yescharacteristic
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—471no—
1535C22⋊C4—471no—
1536C22⋊C4—471no—
1537C22⋊C4—471no—
1538C22⋊C4—471no—
1539C22⋊C4—471no—
1540C22⋊C4—471no—
1541C22⋊C4—471no—
1542C22⋊C4—941no—
1543C22⋊C4—941no—
1544C22⋊C4—941no—
1545C22⋊C4—941no—
1546C22⋊C4—941no—
1547C22⋊C4—941no—
1548C22⋊C4—941no—
1549C22⋊C4—941no—
1550C22⋊C4—941no—
1551C22⋊C4—941no—
1552C22⋊C4—941no—
1553C22⋊C4—941no—
1554C22⋊C4—941no—
1555C22⋊C4—941no—
1556C22⋊C4—941no—
1557C22⋊C4—941no—
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⋊C4D4×D4711yescharacteristic
1573C22⋊C4D4×D4711yescharacteristic
1574C42—21no—
1575C42—471no—
1576C42—471no—
1577C42—471no—
1578C42—471no—
1579C42—471no—
1580C42—941no—
1581C42—941no—
1582C42—941no—
1583C42—941no—
1584C42—941no—
1585C42—941no—
1586C42—941no—
1587C42—941no—
1588C42—941no—
1589C42—941no—
1590C42—941no—
1591C42—941no—
1592C42C23×D4711yescharacteristic
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—42no—
1598C23—81no—
1599C23—81no—
1600C23—81no—
1601C23—81no—
1602C23—81no—
1603C23—471no—
1604C23—941no—
1605C23—3761no—
1606C23—3761no—
1607C23—3761no—
1608C23C2×D4×D4711yescharacteristic
1609C23C2×D4×D4711yescharacteristic
1610Q8—21no—
1611Q8—21no—
1612Q8—21no—
1613Q8—42no—
1614Q8—941no—
1615Q8—941no—
1616Q8—941no—
1617Q8—941no—
1618Q8—941no—
1619Q8—941no—
1620Q8—3761no—
1621Q8—3761no—
1622Q8—3761no—
1623Q8—3761no—
1624Q8—3761no—
1625Q8—1881no—
1626Q8—1882no—
1627Q8#1309406912yes—
1628D4—21no—
1629D4—21no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—21no—
1636D4—41no—
1637D4—42no—
1638D4—42no—
1639D4—81no—
1640D4—81no—
1641D4—81no—
1642D4—81no—
1643D4—81no—
1644D4—81no—
1645D4—941no—
1646D4—941no—
1647D4—3761no—
1648D4—3761no—
1649D4—3761no—
1650D4—3761no—
1651D4—3761no—
1652D4—3761no—
1653D4—3761no—
1654D4—3761no—
1655D4—3761no—
1656D4—1881no—
1657D4—1881no—
1658D4—1882no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—42no—
1668C2×C4—42no—
1669C2×C4—81no—
1670C2×C4—471no—
1671C2×C4—471no—
1672C2×C4—471no—
1673C2×C4—471no—
1674C2×C4—471no—
1675C2×C4—471no—
1676C2×C4—471no—
1677C2×C4—941no—
1678C2×C4—941no—
1679C2×C4—941no—
1680C2×C4—941no—
1681C2×C4—941no—
1682C2×C4—941no—
1683C2×C4—941no—
1684C2×C4—941no—
1685C2×C4—941no—
1686C2×C4—3761no—
1687C2×C4—3761no—
1688C2×C4—3761no—
1689C2×C4—3761no—
1690C2×C4—3761no—
1691C2×C4—3761no—
1692C2×C4—3761no—
1693C2×C4—1882no—
1694C2×C4—1881no—
1695C2×C4—1881no—
1696C2×C4—1882no—
1697C2×C4C2×D4×D4711yescharacteristic
1698C2×C4C2×D4×D4711yescharacteristic
1699C2×C4C2×D4×D4711yescharacteristic
1700C2×C4C2×D4×D4711yescharacteristic
1701C2×C4C24×D4711yescharacteristic
1702C8—21no—
1703C8—21no—
1704C8—21no—
1705C8—21no—
1706C8—941no—
1707C8—941no—
1708C8—941no—
1709C8—941no—
1710C22—21no—
1711C22—21no—
1712C22—21no—
1713C22—21no—
1714C22—21no—
1715C22—21no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—162no—
1729C22—162no—
1730C22—941no—
1731C22—941no—
1732C22—941no—
1733C22—1881no—
1734C22—1881no—
1735C22—1881no—
1736C22—7522no—
1737C22C22×D4×D4711yescharacteristic
1738C4—21no—
1739C4—21no—
1740C4—22no—
1741C4—21no—
1742C4—21no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—941no—
1747C4—941no—
1748C4—941no—
1749C4—941no—
1750C4—941no—
1751C4—941no—
1752C4—941no—
1753C4—1881no—
1754C4—1881no—
1755C4—1881no—
1756C4—1881no—
1757C4—1881no—
1758C4—1881no—
1759C4—1881no—
1760C4C2×#1309406911yescharacteristic
1761C4#1568995811yescharacteristic
1762C2—41no—
1763C2—41no—
1764C2—81no—
1765C2—81no—
1766C2—81no—
1767C2—81no—
1768C2—3761no—
1769C2—1881no—
1770C2#2025704811yescharacteristic
1771C2#2025816411yescharacteristic
1772C2#2025817011yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3265C2
socleC22×C47C23×D4
hypercenter#3265D47
hypocenterC47#62092
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. #20257902C2semidirect
2. #20257396C2semidirect
3. #20256452C2semidirect
4. #20256449C2semidirect
5. #20256206C2semidirect
6. #20256203C2semidirect
7. #20255619C2semidirect
8. #20255612C2semidirect
9. #20255550C2semidirect
10. #20255537C2semidirect
11. #20255456C2semidirect
12. #20255449C2semidirect
13. #20255041C2semidirect
14. #20255038C2semidirect
15. #20254901C2semidirect
16. #20254898C2semidirect
17. #20254877C2semidirect
18. #20254846C2semidirect
19. #20254843C2semidirect
20. #20254770C2semidirect
21. #20254478C2semidirect
22. #20254477C2semidirect
23. #20254388C2semidirect
24. #20253615C2semidirect
25. #20253610C2semidirect
26. #20253532C2semidirect
27. #20252906C2semidirect
28. #20252904C2semidirect
29. #20252880C2semidirect
30. #20252559C2semidirect
31. C47×#3265C2semidirect
32. C2×#13094055C22semidirect
33. C2×#13094054C22semidirect
34. C2×#13094053C22semidirect
35. C2×SD16×D47C22semidirect
40. Q8×Dic94C22semidirect
42. #15689844C22semidirect
44. #15689843C22semidirect
46. #15689842C22semidirect
48. #15689837C22semidirect
49. Q8×C22⋊D47C22semidirect
51. #15689780C22semidirect
59. #15689742C22semidirect
62. #15689740C22semidirect
71. #15689675C22semidirect
76. #15689601C22semidirect
77. #15689599C22semidirect
78. #41×Dic47C22semidirect
79. #15689514C22semidirect
80. #15689514C22semidirect
82. #15689506C22semidirect
83. #15689505C22semidirect
84. #15689483C22semidirect
85. #15689481C22semidirect
86. #15689481C22semidirect
87. #15689481C22semidirect
90. #15689466C22semidirect
91. #15689465C22semidirect
92. #15689448C22semidirect
95. #15689444C22semidirect
96. #15689419C22semidirect
97. #15689417C22semidirect
98. #15689417C22semidirect
99. #15689416C22semidirect
100. #15689406C22semidirect
101. #15689403C22semidirect
102. #15689402C22semidirect
103. #15689401C22semidirect
104. #15689401C22semidirect
105. #15689401C22semidirect
106. #15689371C22semidirect
107. #15689369C22semidirect
108. #15689368C22semidirect
110. #15689367C22semidirect
111. #15689367C22semidirect
113. #15689364C22semidirect
114. #15689363C22semidirect
116. #15689346C22semidirect
117. #15689345C22semidirect
118. #15689344C22semidirect
119. #15689344C22semidirect
120. #15689344C22semidirect
121. #15689343C22semidirect
122. #15689343C22semidirect
123. #15689343C22semidirect
124. #15689343C22semidirect
125. #15689343C22semidirect
126. #15689343C22semidirect
127. #15689343C22semidirect
128. #15689343C22semidirect
129. #15689342C22semidirect
130. #15689336C22semidirect
131. #15689336C22semidirect
132. #15689336C22semidirect
133. #15689336C22semidirect
134. #15689336C22semidirect
135. #15689327C22semidirect
136. #15689326C22semidirect
137. #15689322C22semidirect
140. #15689321C22semidirect
141. #15689321C22semidirect
143. #15689316C22semidirect
144. #15689287C22semidirect
145. #15689282C22semidirect
146. #15689281C22semidirect
147. #15689280C22semidirect
148. #15689279C22semidirect
149. #15689278C22semidirect
151. #15689274C22semidirect
152. #15689272C22semidirect
153. #15689268C22semidirect
154. #15689266C22semidirect
155. #15689265C22semidirect
157. #15689255C22semidirect
158. #15689251C22semidirect
159. #15689250C22semidirect
160. #15689235C22semidirect
161. #15689232C22semidirect
162. #15689231C22semidirect
163. #15689227C22semidirect
164. #15689226C22semidirect
165. #15689224C22semidirect
166. #15689224C22semidirect
167. C4×#10625337C22semidirect
168. #15689215C22semidirect
169. SD16×Dic47C22semidirect
170. C4×#10625335C22semidirect
171. #15689201C22semidirect
172. #15689198C22semidirect
173. #15689197C22semidirect
174. #15689194C22semidirect
175. #15689192C22semidirect
176. #15689185C22semidirect
177. #15689181C22semidirect
178. #15689177C22semidirect
179. #15689149C22semidirect
180. #15689148C22semidirect
181. #15689146C22semidirect
182. #15689133C22semidirect
184. #15689128C22semidirect
185. #15689126C22semidirect
186. #15689120C22semidirect
187. #15689116C22semidirect
189. C22×SD16×C47C22semidirect
190. C47×#548C22semidirect
193. C47×#468C22semidirect
195. C47×#463C22semidirect
198. C47×#449C22semidirect
200. C47×#447C22semidirect
201. C47×#440C22semidirect
202. C47×#435C22semidirect
893. #3265D47semidirect
923. C22×SD16C2×D47semidirect
941. #548C2×D47semidirect
1004. #468C2×D47semidirect
1028. #463C2×D47semidirect
1052. #449C2×D47semidirect
1056. #447C2×D47semidirect
1066. #440C2×D47semidirect
1076. #435C2×D47semidirect
1089. C47#62092semidirect

Maximal subgroups

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

subgroupindex
#202579022
#202573962
#202564522
#202564492
#202562062
#202562032
#202556192
#202556122
#202555502
#202555372
#202554562
#202554492
#202550412
#202550382
#202549012
#202548982
#202548772
#202548462
#202548432
#202547702
#202544782
#202544772
#202543882
#202536152
#202536102
#202535322
#202529062
#202529042
#202528802
#202525592
C47×#32652
#6209247