Finite Group Databasebeta

← #27102503

Subgroups — #27102503

Order 12032.

2174 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257706C211yesmaximal, characteristic, complemented
2#20257050C211yesmaximal, characteristic, complemented
3#20255545C211yesmaximal, characteristic, complemented
4#20255410C211yesmaximal, characteristic, complemented
5#20255387C211yesmaximal, characteristic, complemented
6#20255372C211yesmaximal, characteristic, complemented
7#20255334C211yesmaximal, characteristic, complemented
8#20255276C211yesmaximal, characteristic, complemented
9#20255242C211yesmaximal, characteristic, complemented
10#20255194C211yesmaximal, characteristic, complemented
11#20255141C211yesmaximal, characteristic, complemented
12#20255098C211yesmaximal, characteristic, complemented
13#20255073C211yesmaximal, characteristic, complemented
14D8×C22⋊D47C211yesmaximal, characteristic, complemented
15#20254926C211yesmaximal, characteristic, complemented
16#20254922C211yesmaximal, characteristic, complemented
17#20254877C211yesmaximal, characteristic, complemented
18#20254866C211yesmaximal, characteristic, complemented
19#20254478C211yesmaximal, characteristic, complemented
20#20254434C211yesmaximal, characteristic, complemented
21#20254290C211yesmaximal, characteristic, complemented
22#20254240C211yesmaximal, characteristic, complemented
23#20254150C211yesmaximal, characteristic, complemented
24#20254137C211yesmaximal, characteristic, complemented
25#20253643C211yesmaximal, characteristic, complemented
26#20253580C211yesmaximal, characteristic, complemented
27#20252692C211yesmaximal, characteristic, complemented
28#20252603C211yesmaximal, characteristic, complemented
29#449×D47C211yesmaximal, characteristic, complemented
30#20252440C211yesmaximal, characteristic, complemented
31C47×#3008C211yesmaximal, characteristic, complemented
32C2×#41×D47C2211yescharacteristic, complemented
33C2×#13094050C2211yescharacteristic, complemented
34C2×#13094045C2211yescharacteristic, complemented
35C2×#13094044C2211yescharacteristic, complemented
36C2×#13094043C2211yescharacteristic, complemented
37C2×SD16×D47C2211yescharacteristic, complemented
38C2×D8×D47C2211yescharacteristic, complemented
39#15689867—21no—
40#15689862—21no—
41#15689836C2211yescharacteristic, complemented
42#15689825C2211yescharacteristic, complemented
43#15689812C2211yescharacteristic, complemented
44#15689803—21no—
45#15689792C2211yescharacteristic, complemented
46#15689792C2211yescharacteristic, complemented
47#15689791C2211yescharacteristic, complemented
48#15689780C2211yescharacteristic
49#15689780C2211yescharacteristic, complemented
50#15689773C2211yescharacteristic, complemented
51#15689770C2211yescharacteristic, complemented
52#15689767—21no—
53#15689767—21no—
54#15689767C2211yescharacteristic, complemented
55#15689767C2211yescharacteristic, complemented
56#15689767C2211yescharacteristic, complemented
57#15689760—21no—
58D4×C22⋊D47—21no—
59D4×C22⋊D47—21no—
60D4×C22⋊D47C2211yescharacteristic
61D4×C22⋊D47C2211yescharacteristic, complemented
62D4×C22⋊D47C2211yescharacteristic, complemented
63#15689740C2211yescharacteristic, complemented
64#15689727—21no—
65#15689726C2211yescharacteristic, complemented
66#15689708—21no—
67#15689701—21no—
68#15689701C2211yescharacteristic, complemented
69#15689701C2211yescharacteristic, complemented
70#15689690—21no—
71#15689690C2211yescharacteristic, complemented
72#15689686—21no—
73#15689683—21no—
74#15689633C2211yescharacteristic, complemented
75#15689630—21no—
76#15689630C2211yescharacteristic
77C2×#13093995—21no—
78C2×#13093995C2211yescharacteristic, complemented
79#121×D47C2211yescharacteristic, complemented
80#15689606C2211yescharacteristic, complemented
81#15689511C2211yescharacteristic, complemented
82#15689511C2211yescharacteristic, complemented
83#15689506C2211yescharacteristic, complemented
84#15689498C2211yescharacteristic, complemented
85#15689486C2211yescharacteristic, complemented
86#15689481C2211yescharacteristic, complemented
87#15689476C2211yescharacteristic, complemented
88#15689468C2211yescharacteristic, complemented
89#15689464C2211yescharacteristic, complemented
90#15689459C2211yescharacteristic, complemented
91#15689459C2211yescharacteristic, complemented
92#15689447C2211yescharacteristic, complemented
93#15689445C2211yescharacteristic, complemented
94#15689445C2211yescharacteristic, complemented
95#15689439C2211yescharacteristic, complemented
96#15689437C2211yescharacteristic, complemented
97#15689437C2211yescharacteristic, complemented
98#15689435C2211yescharacteristic, complemented
99#15689435C2211yescharacteristic, complemented
100#15689434C2211yescharacteristic, complemented
101#15689432C2211yescharacteristic, complemented
102#15689421C2211yescharacteristic, complemented
103#15689416C2211yescharacteristic, complemented
104#15689401C2211yescharacteristic, complemented
105#15689374C2211yescharacteristic, complemented
106#15689369C2211yescharacteristic, complemented
107#15689369C2211yescharacteristic, complemented
108#15689367C2211yescharacteristic, complemented
109#15689364C2211yescharacteristic, complemented
110#15689359C2211yescharacteristic, complemented
111#15689358C2211yescharacteristic, complemented
112#15689358C2211yescharacteristic, complemented
113#15689357C2211yescharacteristic, complemented
114#15689356C2211yescharacteristic, complemented
115#15689356C2211yescharacteristic, complemented
116#15689356C2211yescharacteristic, complemented
117#15689356C2211yescharacteristic, complemented
118#15689351C2211yescharacteristic, complemented
119#15689351C2211yescharacteristic, complemented
120#15689350C2211yescharacteristic, complemented
121#15689344C2211yescharacteristic, complemented
122#15689343C2211yescharacteristic, complemented
123#15689337C2211yescharacteristic, complemented
124#15689336C2211yescharacteristic, complemented
125#15689336C2211yescharacteristic, complemented
126#15689336C2211yescharacteristic, complemented
127#15689322C2211yescharacteristic, complemented
128#15689321C2211yescharacteristic, complemented
129#15689317C2211yescharacteristic, complemented
130#15689316C2211yescharacteristic, complemented
131#15689316C2211yescharacteristic, complemented
132#15689316C2211yescharacteristic, complemented
133#15689287C2211yescharacteristic, complemented
134#15689287C2211yescharacteristic, complemented
135#15689285C2211yescharacteristic, complemented
136#15689285C2211yescharacteristic, complemented
137#15689280C2211yescharacteristic, complemented
138#15689275C2211yescharacteristic, complemented
139#15689274C2211yescharacteristic, complemented
140#15689274C2211yescharacteristic, complemented
141#15689274C2211yescharacteristic, complemented
142#15689271C2211yescharacteristic, complemented
143#15689270C2211yescharacteristic, complemented
144#15689270C2211yescharacteristic, complemented
145#15689269C2211yescharacteristic, complemented
146#15689268C2211yescharacteristic, complemented
147#15689268C2211yescharacteristic, complemented
148#15689267C2211yescharacteristic, complemented
149#15689266C2211yescharacteristic, complemented
150#15689266C2211yescharacteristic, complemented
151#15689265C2211yescharacteristic, complemented
152#15689265C2211yescharacteristic, complemented
153#15689265C2211yescharacteristic, complemented
154#15689260C2211yescharacteristic, complemented
155#15689257C2211yescharacteristic, complemented
156#15689257C2211yescharacteristic, complemented
157#15689257C2211yescharacteristic, complemented
158#15689255C2211yescharacteristic, complemented
159#15689255C2211yescharacteristic, complemented
160#15689255C2211yescharacteristic, complemented
161#15689232C2211yescharacteristic, complemented
162#15689224C2211yescharacteristic, complemented
163#15689224C2211yescharacteristic, complemented
164#15689220C2211yescharacteristic, complemented
165#15689215C2211yescharacteristic, complemented
166#15689208C2211yescharacteristic, complemented
167D8×Dic47C2211yescharacteristic, complemented
168D8×Dic47C2211yescharacteristic, complemented
169#15689197C2211yescharacteristic, complemented
170#15689197C2211yescharacteristic, complemented
171#15689192C2211yescharacteristic, complemented
172#15689192C2211yescharacteristic, complemented
173C8×C22⋊D47C2211yescharacteristic, complemented
174C8×C22⋊D47C2211yescharacteristic, complemented
175(C22⋊D47)⋊C8C2211yescharacteristic, complemented
176(C22⋊D47)⋊C8C2211yescharacteristic, complemented
177#15689181C2211yescharacteristic, complemented
178#15689181C2211yescharacteristic, complemented
179#15689124C2211yescharacteristic, complemented
180#15689118C2211yescharacteristic, complemented
181#15689116C2211yescharacteristic, complemented
182#103×D47C2211yescharacteristic, complemented
183C2×#13093945C2211yescharacteristic, complemented
184#102×D47C2211yescharacteristic, complemented
185#15689090C2211yescharacteristic, complemented
186C22⋊C8×D47C2211yescharacteristic, complemented
187C22⋊C8×D47C2211yescharacteristic, complemented
188C2×H(5,𝔽2)×C47C2211yescharacteristic, complemented
189C2×AGL(1,ℤ/8)×C47C2211yescharacteristic, complemented
190C22×D8×C47C2211yescharacteristic, complemented
191C47×#535C2211yescharacteristic, complemented
192C47×#449C2211yescharacteristic
193C47×#449C2211yescharacteristic, complemented
194C47×#449C2211yescharacteristic, complemented
195C47×#449C2211yescharacteristic, complemented
196C47×#447C2211yescharacteristic, complemented
197C47×#447C2211yescharacteristic, complemented
198C47×#447C2211yescharacteristic, complemented
199C47×#447C2211yescharacteristic, complemented
200C47×#418C2211yescharacteristic, complemented
201C47×#416C2211yescharacteristic, complemented
202C47×#408C2211yescharacteristic, complemented
203C2×#10625354C2311yescharacteristic
204C2×#10625350—21no—
205C2×#10625350C2311yescharacteristic
206C2×#10625350C2311yescharacteristic
207C2×#10625352—21no—
208C2×#10625352—21no—
209C2×#10625352C2311yescharacteristic
210C2×#10625352C2311yescharacteristic
211#41×D47—42no—
212#41×D47—42no—
213C2×Q8×D47C2311yescharacteristic
214C22×C22⋊D47—21no—
215C22×C22⋊D47—21no—
216C22×C22⋊D47—21no—
217C22×C22⋊D47—21no—
218C2×D4×D47—21no—
219C2×D4×D47—21no—
220C2×D4×D47C2311yescharacteristic
221C2×D4×D47C2311yescharacteristic
222C22×C4×D47—21no—
223C22×C4×D47C2311yescharacteristic
224#13094050—42no—
225#13094045—42no—
226#13094044—42no—
227#13094043—42no—
228C2×Dic188C2311yescharacteristic
229C2×#10625337C2311yescharacteristic
230C2×#10625325C2311yescharacteristic
231C2×#10625325C2311yescharacteristic
232C2×#10625335C2311yescharacteristic
233C2×#10625335C2311yescharacteristic
234C2×#10625335C2311yescharacteristic
235C2×#10625335C2311yescharacteristic
236C2×#10625335C2311yescharacteristic
237C2×#10625336C2311yescharacteristic
238SD16×D47—42no—
239C2×D376C2311yescharacteristic
240C2×#10625334C2311yescharacteristic
241C2×#10625334C2311yescharacteristic
242C2×#10625334C2311yescharacteristic
243C2×#10625334C2311yescharacteristic
244C2×#10625334C2311yescharacteristic
245D8×D47—42no—
246C2×#10625329C2311yescharacteristic
247C22×C47⋊C8C2311yescharacteristic
248C2×C8×D47C2311yescharacteristic
249C2×C8×D47C2311yescharacteristic
250C2×C8×D47C2311yescharacteristic
251C2×C8×D47C2311yescharacteristic
252#13094023C2311yescharacteristic
253#13094020—21no—
254#13094020—21no—
255#13094020—21no—
256#13094020C2311yescharacteristic
257#13094020C2311yescharacteristic
258#13094020C2311yescharacteristic
259#13094017—21no—
260#13094017—21no—
261#13094017—21no—
262#13094016—21no—
263#13094015C2311yescharacteristic
264#13094012—21no—
265#13094011—21no—
266#13094011—21no—
267#13094011—21no—
268#13094011C2311yescharacteristic
269#13094011C2311yescharacteristic
270#13094011C2311yescharacteristic
271#13094010—21no—
272#13094008—21no—
273#13094008—21no—
274#13094006—21no—
275#13094006—21no—
276#13094006—21no—
277#13094006—21no—
278#13094006—21no—
279#13094005—21no—
280#13094005—21no—
281#13094005—21no—
282#13094005—21no—
283#13094005—21no—
284#13094005D411yescharacteristic
285#13094005D411yescharacteristic
286#13094004C2311yescharacteristic
287#13094003—21no—
288#13094003—21no—
289#13094003C2311yescharacteristic
290#13094003C2311yescharacteristic
291#13094003C2311yescharacteristic
292#13094003C2311yescharacteristic
293#13094001—21no—
294#13094001—21no—
295#13094000—21no—
296#13094000—21no—
297#13094000D411yescharacteristic
298#13094000D411yescharacteristic
299#13093999C2311yescharacteristic
300#13093998—21no—
301#13093998—21no—
302#13093998C2311yescharacteristic
303#13093998C2311yescharacteristic
304#13093998C2311yescharacteristic
305#13093998C2311yescharacteristic
306#13093997—21no—
307#13093997—21no—
308#13093997—21no—
309#13093996—21no—
310#13093996—21no—
311#13093996—21no—
312#13093996—21no—
313#13093996—21no—
314#13093996—21no—
315#13093996—21no—
316#13093996—21no—
317#13093996—21no—
318#13093996—21no—
319#13093996—21no—
320#13093996—21no—
321#13093996—21no—
322#13093996—21no—
323#13093995—21no—
324#13093995—21no—
325#13093995—21no—
326#13093995—21no—
327#13093995—21no—
328#13093995—21no—
329#13093995—21no—
330#13093995—21no—
331#13093995—21no—
332#13093995—21no—
333#13093995—21no—
334#13093995—21no—
335#13093995D411yescharacteristic
336#13093995D411yescharacteristic
337#13093995C2311yescharacteristic
338#13093995C2311yescharacteristic
339#13093995C2311yescharacteristic
340#13093995C2311yescharacteristic
341#13093995C2311yescharacteristic
342#13093995C2311yescharacteristic
343#13093993—21no—
344#13093993—21no—
345#13093993—21no—
346#13093993—21no—
347#13093993—21no—
348#13093993—21no—
349#13093993—21no—
350#13093993—21no—
351#13093992—21no—
352#13093992—21no—
353#13093992—21no—
354#13093992—21no—
355#13093992—21no—
356#13093992D411yescharacteristic
357#13093992D411yescharacteristic
358Q8×Dic47C2311yescharacteristic
359Q8×Dic47C2311yescharacteristic
360#13093989C2311yescharacteristic
361D4×Dic47—21no—
362D4×Dic47—21no—
363D4×Dic47—21no—
364D4×Dic47—21no—
365D4×Dic47C2311yescharacteristic
366D4×Dic47C2311yescharacteristic
367D4×Dic47C2311yescharacteristic
368D4×Dic47C2311yescharacteristic
369#13093986C2311yescharacteristic
370C4×C22⋊D47—21no—
371C4×C22⋊D47—21no—
372C4×C22⋊D47—21no—
373C4×C22⋊D47—21no—
374C4×C22⋊D47C2311yescharacteristic
375C4×C22⋊D47C2311yescharacteristic
376C4×C22⋊D47C2311yescharacteristic
377C4×C22⋊D47C2311yescharacteristic
378(C22⋊D47)⋊C4—21no—
379(C22⋊D47)⋊C4—21no—
380#13093983—21no—
381#13093983C2311yescharacteristic
382#13093982C2311yescharacteristic
383#13093981—21no—
384#13093981—21no—
385C2×C4⋊Dic47—21no—
386C2×C4⋊Dic47C2311yescharacteristic
387C2×C4⋊Dic47C2311yescharacteristic
388C4⋊C4×D47C2311yescharacteristic
389C2×C22⋊Dic47—21no—
390C2×C22⋊Dic47—21no—
391C2×C22⋊Dic47—21no—
392C2×C22⋊Dic47—21no—
393C22⋊C4×D47—21no—
394C22⋊C4×D47—21no—
395#13093958C2311yescharacteristic
396#13093958C2311yescharacteristic
397#13093958C2311yescharacteristic
398#13093958C2311yescharacteristic
399#13093957C2311yescharacteristic
400#13093957C2311yescharacteristic
401#13093955C2311yescharacteristic
402#13093955C2311yescharacteristic
403Dic47⋊C8C2311yescharacteristic
404Dic47⋊C8C2311yescharacteristic
405Dic47⋊C8C2311yescharacteristic
406Dic47⋊C8C2311yescharacteristic
407#13093949C2311yescharacteristic
408#13093949C2311yescharacteristic
409#13093949C2311yescharacteristic
410#13093949C2311yescharacteristic
411#13093948C2311yescharacteristic
412#13093948C2311yescharacteristic
413#13093947C2311yescharacteristic
414#13093947C2311yescharacteristic
415#13093946C2311yescharacteristic
416#13093946C2311yescharacteristic
417#13093946C2311yescharacteristic
418#13093946C2311yescharacteristic
419#13093945C2311yescharacteristic
420#13093945C2311yescharacteristic
421#13093945C2311yescharacteristic
422#13093945C2311yescharacteristic
423#13093945C2311yescharacteristic
424#13093945C2311yescharacteristic
425#13093945C2311yescharacteristic
426#13093945C2311yescharacteristic
427#13093945C2311yescharacteristic
428#13093945C2311yescharacteristic
429#13093944C2311yescharacteristic
430#13093944C2311yescharacteristic
431C22⋊(C47⋊C8)C2311yescharacteristic
432C22⋊(C47⋊C8)C2311yescharacteristic
433C22⋊(C47⋊C8)C2311yescharacteristic
434C22⋊(C47⋊C8)C2311yescharacteristic
435(C2×D47)⋊C8C2311yescharacteristic
436(C2×D47)⋊C8C2311yescharacteristic
437(C2×D47)⋊C8C2311yescharacteristic
438(C2×D47)⋊C8C2311yescharacteristic
439#13093934C2311yescharacteristic
440#13093934C2311yescharacteristic
441C8×Dic47C2311yescharacteristic
442C8×Dic47C2311yescharacteristic
443H(5,𝔽2)×C47—42no—
444H(5,𝔽2)×C47—42no—
445C2×#41×C47—21no—
446C2×#41×C47C2311yescharacteristic
447C2×#41×C47C2311yescharacteristic
448C2×#41×C47C2311yescharacteristic
449C2×#41×C47C2311yescharacteristic
450C22×D4×C47—21no—
451C22×D4×C47—21no—
452C22×D4×C47—21no—
453C22×D4×C47C2311yescharacteristic
454C22×D4×C47C2311yescharacteristic
455C22×D4×C47C2311yescharacteristic
456C22×D4×C47C2311yescharacteristic
457AGL(1,ℤ/8)×C47—42no—
458C2×SD16×C47C2311yescharacteristic
459C2×SD16×C47C2311yescharacteristic
460C2×D8×C47—42no—
461C2×D8×C47C2311yescharacteristic
462C2×D8×C47C2311yescharacteristic
463C2×D8×C47C2311yescharacteristic
464C2×D8×C47C2311yescharacteristic
465C2×D8×C47C2311yescharacteristic
466C2×D8×C47C2311yescharacteristic
467C2×M16×C47C2311yescharacteristic
468C22×C8×C47C2311yescharacteristic
469#127×C47—21no—
470#124×C47—21no—
471#121×C47C2311yescharacteristic
472#121×C47C2311yescharacteristic
473#121×C47C2311yescharacteristic
474#121×C47C2311yescharacteristic
475#120×C47—21no—
476#120×C47—21no—
477#117×C47C2311yescharacteristic
478#103×C47C2311yescharacteristic
479#103×C47C2311yescharacteristic
480#102×C47C2311yescharacteristic
481#102×C47C2311yescharacteristic
482#102×C47C2311yescharacteristic
483#102×C47C2311yescharacteristic
484#102×C47C2311yescharacteristic
485#102×C47C2311yescharacteristic
486C22⋊C8×C47C2311yescharacteristic
487C22⋊C8×C47C2311yescharacteristic
488C22⋊C8×C47C2311yescharacteristic
489C22⋊C8×C47C2311yescharacteristic
490C24×C47—21no—
491C24×C47—21no—
492C24×C47—21no—
493C24×C47—21no—
494C23×D47—21no—
495C23×D47—21no—
496C23×D47C2×D411yescharacteristic
497#41×C47—22no—
498#41×C47—22no—
499#41×C47—22no—
500#41×C47—22no—
501#41×C47—41no—
502#41×C47—41no—
503#41×C47—41no—
504#41×C47—41no—
505#41×C47—44no—
506C2×Q8×C47C2×D411yescharacteristic
507C2×Q8×C47C2411yescharacteristic
508C2×D4×C47—21no—
509C2×D4×C47—22no—
510C2×D4×C47—22no—
511C2×D4×C47—21no—
512C2×D4×C47—21no—
513C2×D4×C47—21no—
514C2×D4×C47—21no—
515C2×D4×C47—21no—
516C2×D4×C47—21no—
517C2×D4×C47—21no—
518C2×D4×C47—21no—
519C2×D4×C47—21no—
520C2×D4×C47—21no—
521C2×D4×C47—41no—
522C2×D4×C47—41no—
523C2×D4×C47—41no—
524C2×D4×C47—41no—
525C2×D4×C47—41no—
526C2×D4×C47—41no—
527C2×D4×C47—44no—
528C2×D4×C47—44no—
529C2×D4×C47—44no—
530C2×D4×C47C2×D411yescharacteristic
531C2×D4×C47C2×D411yescharacteristic
532C2×D4×C47C2×D411yescharacteristic
533C2×D4×C47C2411yescharacteristic
534C2×D4×C47C2411yescharacteristic
535C2×D4×C47C2411yescharacteristic
536C2×D4×C47C2411yescharacteristic
537C2×D4×C47C2411yescharacteristic
538C22×C4×C47—21no—
539C22×C4×C47—21no—
540C22×C4×C47—21no—
541C22×C4×C47C2411yescharacteristic
542C22×C4×C47C2411yescharacteristic
543C22×C4×C47C2411yescharacteristic
544C2×C22⋊D47—21no—
545C2×C22⋊D47—21no—
546C2×C22⋊D47—21no—
547C2×C22⋊D47—21no—
548C2×C22⋊D47—21no—
549C2×C22⋊D47—21no—
550C2×C22⋊D47—21no—
551C2×C22⋊D47—21no—
552C2×C22⋊D47—21no—
553C2×C22⋊D47—21no—
554C2×C22⋊D47—21no—
555C2×C22⋊D47—21no—
556C2×C22⋊D47—21no—
557C2×C22⋊D47—21no—
558C2×C22⋊D47—21no—
559C2×C22⋊D47—21no—
560C2×C22⋊D47—21no—
561C2×C22⋊D47—21no—
562C2×C22⋊D47—21no—
563C2×C22⋊D47—21no—
564C2×C22⋊D47—21no—
565C2×C22⋊D47—21no—
566C2×C22⋊D47—82no—
567C2×C22⋊D47—82no—
568C2×C22⋊D47—82no—
569C2×C22⋊D47—82no—
570C2×C22⋊D47C2×D411yescharacteristic
571C2×C22⋊D47C2×D411yescharacteristic
572C2×C22⋊D47C2×D411yescharacteristic
573C2×C22⋊D47C2×D411yescharacteristic
574C22×Dic47—21no—
575C22×Dic47—21no—
576C22×Dic47—21no—
577C22×Dic47—21no—
578C22×Dic47—21no—
579C22×Dic47—21no—
580C22×Dic47—21no—
581C22×Dic47—21no—
582C22×Dic47C2×D411yescharacteristic
583#10625354—22no—
584#10625354—41no—
585Q8×D47—22no—
586Q8×D47—41no—
587#10625352—22no—
588#10625352—41no—
589#10625352—41no—
590#10625352—41no—
591#10625352—44no—
592#10625352—82no—
593D4×D47—22no—
594D4×D47—41no—
595D4×D47—41no—
596D4×D47—41no—
597D4×D47—44no—
598D4×D47—82no—
599#10625350—41no—
600#10625350—41no—
601#10625350—41no—
602#10625350—41no—
603#10625350—44no—
604C2×D188—21no—
605C2×D188—21no—
606C2×D188C2411yescharacteristic
607C2×D188C2411yescharacteristic
608C2×C4×D47—21no—
609C2×C4×D47—21no—
610C2×C4×D47—21no—
611C2×C4×D47—21no—
612C2×C4×D47—21no—
613C2×C4×D47—21no—
614C2×C4×D47—41no—
615C2×C4×D47—41no—
616C2×C4×D47—44no—
617C2×C4×D47C2×D411yescharacteristic
618C2×C4×D47C2×D411yescharacteristic
619C2×C4×D47C2411yescharacteristic
620C2×C4×D47C2411yescharacteristic
621C2×Dic94—21no—
622C2×Dic94—21no—
623C2×Dic94C2411yescharacteristic
624C2×Dic94C2411yescharacteristic
625SD16×C47—22no—
626SD16×C47—22no—
627D8×C47—22no—
628D8×C47—22no—
629D8×C47—41no—
630D8×C47—41no—
631D8×C47—41no—
632D8×C47—41no—
633M16×C47—41no—
634C2×C8×C47—41no—
635C2×C8×C47C2411yescharacteristic
636C2×C8×C47C2411yescharacteristic
637C2×C8×C47C2411yescharacteristic
638C2×C8×C47C2411yescharacteristic
639C4⋊C4×C47C2411yescharacteristic
640C4⋊C4×C47C2411yescharacteristic
641C22⋊C4×C47—21no—
642C22⋊C4×C47—21no—
643C22⋊C4×C47—21no—
644C22⋊C4×C47—21no—
645C22⋊C4×C47—21no—
646C42×C47—21no—
647C22⋊Dic47—21no—
648C22⋊Dic47—21no—
649C22⋊Dic47—21no—
650C22⋊Dic47—21no—
651C22⋊Dic47—21no—
652C22⋊Dic47—21no—
653C22⋊Dic47—21no—
654C22⋊Dic47—21no—
655C22⋊Dic47—21no—
656C22⋊Dic47—21no—
657C22⋊Dic47—21no—
658C22⋊Dic47—21no—
659C22⋊Dic47—21no—
660C22⋊Dic47—21no—
661C22⋊Dic47—21no—
662C22⋊Dic47—21no—
663C22⋊Dic47—21no—
664C22⋊Dic47—21no—
665C22⋊Dic47—21no—
666C22⋊Dic47—21no—
667C22⋊Dic47C2×D411yescharacteristic
668C22⋊Dic47C2×D411yescharacteristic
669C22⋊Dic47C2×D411yescharacteristic
670C22⋊Dic47C2×D411yescharacteristic
671C22⋊Dic47C2×D411yescharacteristic
672C22⋊Dic47C2×D411yescharacteristic
673#10625337—22no—
674#10625336—22no—
675#10625335—22no—
676#10625335—41no—
677#10625335—41no—
678#10625335—41no—
679#10625335—41no—
680#10625334—22no—
681#10625334—41no—
682#10625334—41no—
683#10625334—41no—
684#10625334—41no—
685(C2×D47)⋊C4—21no—
686(C2×D47)⋊C4—21no—
687(C2×D47)⋊C4—21no—
688(C2×D47)⋊C4—21no—
689(C2×D47)⋊C4—21no—
690(C2×D47)⋊C4—21no—
691(C2×D47)⋊C4—21no—
692(C2×D47)⋊C4—21no—
693(C2×D47)⋊C4C2×D411yescharacteristic
694(C2×D47)⋊C4C2×D411yescharacteristic
695(C2×D47)⋊C4C2×D411yescharacteristic
696(C2×D47)⋊C4C2×D411yescharacteristic
697C4⋊Dic47—21no—
698C4⋊Dic47—21no—
699C4⋊Dic47—21no—
700C4⋊Dic47—21no—
701C4⋊Dic47—21no—
702C4⋊Dic47—21no—
703C4⋊Dic47C2×D411yescharacteristic
704C4⋊Dic47C2×D411yescharacteristic
705C4⋊Dic47C2411yescharacteristic
706C4⋊Dic47C2411yescharacteristic
707C4⋊Dic47C2411yescharacteristic
708C4⋊Dic47C2411yescharacteristic
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×Dic47C2411yescharacteristic
726C4×Dic47C2411yescharacteristic
727#10625329—41no—
728C2×C47⋊C8—41no—
729C2×C47⋊C8C2411yescharacteristic
730C2×C47⋊C8C2411yescharacteristic
731C2×C47⋊C8C2411yescharacteristic
732C2×C47⋊C8C2411yescharacteristic
733Dic188—41no—
734D376—41no—
735#10625325—41no—
736#10625325—41no—
737C8×D47—41no—
738C8×D47—41no—
739C8×D47—41no—
740C8×D47—41no—
741C23×C47—21no—
742C23×C47—21no—
743C23×C47—21no—
744C23×C47—21no—
745C23×C47—21no—
746C23×C47—42no—
747C23×C47—42no—
748C23×C47—42no—
749C23×C47—81no—
750C23×C47—81no—
751C23×C47—81no—
752C23×C47—81no—
753C23×C47—81no—
754C23×C47—81no—
755C23×C47—81no—
756C23×C47—81no—
757C23×C47—81no—
758C23×C47C22×D411yescharacteristic
759C23×C47C22×D411yescharacteristic
760C23×C47C22×D411yescharacteristic
761C22×D47—22no—
762C22×D47—21no—
763C22×D47—21no—
764C22×D47—41no—
765C22×D47—41no—
766C22×D47—42no—
767C22×D47—42no—
768C22×D47—42no—
769C22×D47—81no—
770C22×D47—81no—
771C22×D47—81no—
772C22×D47C22×D411yescharacteristic
773C22×D47C22×D411yescharacteristic
774Q8×C47—21no—
775Q8×C47—41no—
776Q8×C47H(5,𝔽2)12yes—
777D4×C47—24no—
778D4×C47—21no—
779D4×C47—21no—
780D4×C47—21no—
781D4×C47—21no—
782D4×C47—21no—
783D4×C47—21no—
784D4×C47—21no—
785D4×C47—21no—
786D4×C47—21no—
787D4×C47—41no—
788D4×C47—41no—
789D4×C47—41no—
790D4×C47—42no—
791D4×C47—42no—
792D4×C47—42no—
793D4×C47—42no—
794D4×C47—42no—
795D4×C47—81no—
796D4×C47—81no—
797D4×C47—81no—
798D4×C47—81no—
799D4×C47—81no—
800D4×C47H(5,𝔽2)12yes—
801C2×C4×C47—24no—
802C2×C4×C47—21no—
803C2×C4×C47—21no—
804C2×C4×C47—21no—
805C2×C4×C47—21no—
806C2×C4×C47—21no—
807C2×C4×C47—21no—
808C2×C4×C47—21no—
809C2×C4×C47—21no—
810C2×C4×C47—21no—
811C2×C4×C47—42no—
812C2×C4×C47—42no—
813C2×C4×C47C22×D411yescharacteristic
814C2×C4×C47C22×D411yescharacteristic
815C2×C4×C47C22×D411yescharacteristic
816C2×C4×C47C2511yescharacteristic
817C22⋊D47—22no—
818C22⋊D47—22no—
819C22⋊D47—41no—
820C22⋊D47—41no—
821C22⋊D47—42no—
822C22⋊D47—42no—
823C22⋊D47—42no—
824C22⋊D47—42no—
825C22⋊D47—42no—
826C22⋊D47—42no—
827C22⋊D47—81no—
828C22⋊D47—81no—
829C22⋊D47—81no—
830C22⋊D47—81no—
831C22⋊D47—81no—
832C22⋊D47—81no—
833C22⋊D47—81no—
834C22⋊D47—81no—
835C22⋊D47—81no—
836C22⋊D47—81no—
837C22⋊D47—81no—
838C22⋊D47—81no—
839C22⋊D47—81no—
840C22⋊D47—81no—
841C22⋊D47—81no—
842C22⋊D47—81no—
843C2×Dic47—21no—
844C2×Dic47—21no—
845C2×Dic47—21no—
846C2×Dic47—21no—
847C2×Dic47—21no—
848C2×Dic47—21no—
849C2×Dic47—41no—
850C2×Dic47—42no—
851C2×Dic47—81no—
852C2×Dic47—81no—
853C2×Dic47—81no—
854C2×Dic47—81no—
855C2×Dic47—81no—
856C2×Dic47—81no—
857C2×Dic47—81no—
858C2×Dic47C22×D411yescharacteristic
859C2×Dic47C22×D411yescharacteristic
860C2×Dic47C22×D411yescharacteristic
861C2×Dic47C22×D411yescharacteristic
862C2×Dic47C22×D411yescharacteristic
863C2×Dic47C22×D411yescharacteristic
864D188—21no—
865D188—21no—
866D188—21no—
867D188—21no—
868D188—42no—
869D188—81no—
870C4×D47—21no—
871C4×D47—21no—
872C4×D47—21no—
873C4×D47—21no—
874C4×D47—41no—
875C4×D47—41no—
876C4×D47—42no—
877C4×D47—42no—
878C4×D47—42no—
879C4×D47—42no—
880C4×D47—81no—
881C4×D47—81no—
882Dic94—21no—
883Dic94—21no—
884Dic94—21no—
885Dic94—21no—
886Dic94—42no—
887Dic94—81no—
888C8×C47—21no—
889C8×C47—21no—
890C8×C47—21no—
891C8×C47—21no—
892C47⋊C8—21no—
893C47⋊C8—21no—
894C47⋊C8—21no—
895C47⋊C8—21no—
896#61639—471nomaximal, Sylow
897C22×C47—21no—
898C22×C47—21no—
899C22×C47—21no—
900C22×C47—21no—
901C22×C47—22no—
902C22×C47—21no—
903C22×C47—21no—
904C22×C47—21no—
905C22×C47—21no—
906C22×C47—21no—
907C22×C47—41no—
908C22×C47—41no—
909C22×C47—41no—
910C22×C47—41no—
911C22×C47—41no—
912C22×C47—41no—
913C22×C47—41no—
914C22×C47—41no—
915C22×C47—41no—
916C22×C47—41no—
917C22×C47—41no—
918C22×C47—41no—
919C22×C47—41no—
920C22×C47—41no—
921C22×C47—162no—
922C22×C47—162no—
923C22×C47—162no—
924C22×C47—162no—
925C22×C47C23×D411yescharacteristic
926C2×D47—21no—
927C2×D47—21no—
928C2×D47—21no—
929C2×D47—21no—
930C2×D47—21no—
931C2×D47—41no—
932C2×D47—41no—
933C2×D47—41no—
934C2×D47—41no—
935C2×D47—41no—
936C2×D47—41no—
937C2×D47—82no—
938C2×D47—84no—
939C2×D47—162no—
940C2×D47#57612yes—
941C4×C47—22no—
942C4×C47—21no—
943C4×C47—21no—
944C4×C47—21no—
945C4×C47—41no—
946C4×C47—41no—
947C4×C47C2×H(5,𝔽2)11yescharacteristic
948C4×C47C2×H(5,𝔽2)11yescharacteristic
949Dic47—21no—
950Dic47—21no—
951Dic47—21no—
952Dic47—21no—
953Dic47—21no—
954Dic47—21no—
955Dic47—41no—
956Dic47—41no—
957Dic47—41no—
958Dic47—41no—
959Dic47—41no—
960Dic47—41no—
961#3542—471no—
962#3488—471no—
963#3319—471no—
964#3310—471no—
965#3309—471no—
966#3308—471no—
967#3305—471no—
968#3300—471no—
969#3297—471no—
970#3294—471no—
971#3287—471no—
972#3282—471no—
973#3280—471no—
974D4×D8—471no—
975#3268—471no—
976#3268—471no—
977#3265—471no—
978#3264—471no—
979#3224—471no—
980#3220—471no—
981#3203—471no—
982#3198—471no—
983#3188—471no—
984#3186—471no—
985#3124—471no—
986#3119—471no—
987#3012—471no—
988#3008D4711yescharacteristic, complemented
989#3002—471no—
990C2×#449—471no—
991#2977—471no—
992C2×C47—41no—
993C2×C47—42no—
994C2×C47—41no—
995C2×C47—41no—
996C2×C47—81no—
997C2×C47—81no—
998C2×C47—81no—
999C2×C47—81no—
1000C2×C47#348411yescharacteristic
1001C2×C47C2×#57611yescharacteristic
1002C2×C47#358411yescharacteristic
1003D47—22no—
1004D47—41no—
1005D47—81no—
1006D47—81no—
1007C2×H(5,𝔽2)C2×D4711yescharacteristic, complemented
1008C22×#41—471no—
1009C2×AGL(1,ℤ/8)—471no—
1010C2×AGL(1,ℤ/8)C2×D4711yescharacteristic, complemented
1011C2×#135—471no—
1012C2×#135—471no—
1013C2×#135—471no—
1014C22×SD16—471no—
1015C22×D8—471no—
1016C22×D8C2×D4711yescharacteristic, complemented
1017#562—941no—
1018#560—941no—
1019#555—471no—
1020#553—471no—
1021#552—471no—
1022#551—941no—
1023#550—471no—
1024#550—471no—
1025#550—471no—
1026#548—471no—
1027#548—471no—
1028#547—471no—
1029#546—471no—
1030#546—471no—
1031#546—471no—
1032#546—471no—
1033#546—941no—
1034#546—941no—
1035#546—941no—
1036D42—471no—
1037D42—471no—
1038D42—471no—
1039D42—941no—
1040D42—941no—
1041#542—471no—
1042#540—471no—
1043#540—941no—
1044#538—941no—
1045#537—471no—
1046#537—471no—
1047#537—941no—
1048#535—471no—
1049#535—941no—
1050#535—941no—
1051#535C2×D4711yescharacteristic, complemented
1052#534—941no—
1053#525—471no—
1054#525—471no—
1055#525—941no—
1056C2×#121—471no—
1057C2×#121—471no—
1058C2×#121—941no—
1059#520—471no—
1060#496—471no—
1061#496—471no—
1062#495—471no—
1063#493—471no—
1064#490—471no—
1065#489—471no—
1066#488—471no—
1067#486—471no—
1068#485—471no—
1069#484—471no—
1070#484—471no—
1071#482—471no—
1072#482—471no—
1073#482—471no—
1074#481—471no—
1075#480—471no—
1076#480—471no—
1077#480—471no—
1078#480—471no—
1079#480—471no—
1080#479—471no—
1081#478—471no—
1082#477—471no—
1083#474—471no—
1084#469—471no—
1085#468—471no—
1086#468—471no—
1087#468—471no—
1088#467—471no—
1089#466—471no—
1090#466—471no—
1091#466—471no—
1092#466—471no—
1093#466—471no—
1094#466—471no—
1095#466—471no—
1096#466—471no—
1097#465—471no—
1098#465—471no—
1099#465—471no—
1100#464—471no—
1101#464—471no—
1102#463—471no—
1103#463—471no—
1104#463—471no—
1105#463—471no—
1106#460—471no—
1107#460—471no—
1108#459—471no—
1109#459—471no—
1110#459—471no—
1111#459—471no—
1112#452—471no—
1113#452—471no—
1114#452—471no—
1115#452—471no—
1116#451—471no—
1117#450—471no—
1118#450—471no—
1119#450—471no—
1120#450—471no—
1121#449—471no—
1122#449—471no—
1123#449—471no—
1124#449—471no—
1125#449—471no—
1126#449—471no—
1127#449—471no—
1128#449—471no—
1129#449—471no—
1130#449—471no—
1131#449—471no—
1132#449—471no—
1133#449C2×D4711yescharacteristic
1134#449C2×D4711yescharacteristic, complemented
1135#449C2×D4711yescharacteristic, complemented
1136#449C2×D4711yescharacteristic, complemented
1137#448—471no—
1138#447—471no—
1139#447—471no—
1140#447—471no—
1141#447—471no—
1142#447—471no—
1143#447—471no—
1144#447C2×D4711yescharacteristic, complemented
1145#447C2×D4711yescharacteristic, complemented
1146#447C2×D4711yescharacteristic, complemented
1147#447C2×D4711yescharacteristic, complemented
1148#442—471no—
1149#440—471no—
1150#440—471no—
1151#440—471no—
1152C4×Q16—471no—
1153C4×SD16—471no—
1154C4×D8—471no—
1155C4×D8—471no—
1156#435—471no—
1157#435—471no—
1158#435—471no—
1159#435—471no—
1160C8×D4—471no—
1161C8×D4—471no—
1162C8×D4—471no—
1163C8×D4—471no—
1164#433—471no—
1165#433—471no—
1166#418C2×D4711yescharacteristic, complemented
1167#417—471no—
1168#416—471no—
1169#416—471no—
1170#416C2×D4711yescharacteristic, complemented
1171C2×#103—471no—
1172C2×#102—471no—
1173C2×#102—471no—
1174#408—471no—
1175#408C2×D4711yescharacteristic, complemented
1176C2×C22⋊C8—471no—
1177C2×C22⋊C8—471no—
1178C47#6163911yescharacteristic, complemented, Sylow
1179H(5,𝔽2)—42no—
1180H(5,𝔽2)—42no—
1181C2×#41—21no—
1182C2×#41—471no—
1183C2×#41—471no—
1184C2×#41—471no—
1185C2×#41—471no—
1186C2×#41—471no—
1187C2×#41—941no—
1188C2×#41—941no—
1189C2×#41—941no—
1190C2×#41—1882no—
1191C2×#41—1882no—
1192C2×#41C22×D4711yescharacteristic
1193C2×#41C22×D4711yescharacteristic
1194C2×#41C22×D4711yescharacteristic
1195C2×#41C22×D4711yescharacteristic
1196C22×Q8—471no—
1197C22×D4—21no—
1198C22×D4—21no—
1199C22×D4—21no—
1200C22×D4—471no—
1201C22×D4—471no—
1202C22×D4—941no—
1203C22×D4—941no—
1204C22×D4—941no—
1205C22×D4—941no—
1206C22×D4—941no—
1207C22×D4—941no—
1208C22×D4C22×D4711yescharacteristic
1209C22×D4C22×D4711yescharacteristic
1210C22×D4C22×D4711yescharacteristic
1211C22×D4C22×D4711yescharacteristic
1212C23×C4—471no—
1213C23×C4—941no—
1214AGL(1,ℤ/8)—42no—
1215AGL(1,ℤ/8)—1882no—
1216#135—1882no—
1217#135—1882no—
1218#135—1882no—
1219C2×Q16—471no—
1220C2×Q16—471no—
1221C2×SD16—471no—
1222C2×SD16—471no—
1223C2×SD16—471no—
1224C2×SD16—471no—
1225C2×SD16—471no—
1226C2×SD16—471no—
1227C2×SD16—471no—
1228C2×SD16—471no—
1229C2×SD16—1882no—
1230C2×SD16C22×D4711yescharacteristic
1231C2×SD16C22×D4711yescharacteristic
1232C2×D8—42no—
1233C2×D8—471no—
1234C2×D8—471no—
1235C2×D8—471no—
1236C2×D8—471no—
1237C2×D8—471no—
1238C2×D8—471no—
1239C2×D8—1882no—
1240C2×D8C22×D4711yescharacteristic
1241C2×D8C22×D4711yescharacteristic
1242C2×D8C22×D4711yescharacteristic
1243C2×D8C22×D4711yescharacteristic
1244C2×D8C22×D4711yescharacteristic
1245C2×D8C22×D4711yescharacteristic
1246C2×M16—471no—
1247C2×M16C22×D4711yescharacteristic
1248C22×C8—471no—
1249C22×C8—471no—
1250C22×C8—471no—
1251C22×C8—471no—
1252C22×C8—471no—
1253C22×C8C22×D4711yescharacteristic
1254C4⋊Q8—471no—
1255#127—21no—
1256#127—471no—
1257#127—471no—
1258#127—471no—
1259#127—941no—
1260#127—941no—
1261#127—941no—
1262#126—941no—
1263#126—941no—
1264#126—941no—
1265#125—471no—
1266#125—941no—
1267#124—21no—
1268#124—471no—
1269#124—471no—
1270#124—471no—
1271#124—941no—
1272#124—941no—
1273#124—941no—
1274#124—941no—
1275#124—941no—
1276#123—471no—
1277#123—471no—
1278#123—941no—
1279#123—941no—
1280#123—941no—
1281#123—941no—
1282#123—941no—
1283#123—941no—
1284#123—941no—
1285#123—941no—
1286#123—941no—
1287#123—941no—
1288#123—941no—
1289#123—941no—
1290C22⋊Q8—471no—
1291C22⋊Q8—471no—
1292C22⋊Q8—471no—
1293C22⋊Q8—471no—
1294C22⋊Q8—471no—
1295C22⋊Q8—471no—
1296C22⋊Q8—471no—
1297C22⋊Q8—941no—
1298C22⋊Q8—941no—
1299C22⋊Q8—941no—
1300C22⋊Q8—941no—
1301C22⋊Q8—941no—
1302C22⋊Q8—941no—
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—471no—
1315#121—471no—
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#121—941no—
1333#121—941no—
1334#121—941no—
1335#121—941no—
1336#121—941no—
1337#121—941no—
1338#121—941no—
1339#121—941no—
1340#121—941no—
1341#121—941no—
1342#121—941no—
1343#121—941no—
1344#121—941no—
1345#121—941no—
1346#121—941no—
1347#121C22×D4711yescharacteristic
1348#121C22×D4711yescharacteristic
1349#121C22×D4711yescharacteristic
1350#121C22×D4711yescharacteristic
1351#120—21no—
1352#120—21no—
1353#120—471no—
1354#120—471no—
1355#120—941no—
1356#120—941no—
1357#120—941no—
1358#120—941no—
1359#120—941no—
1360#120—941no—
1361#120—941no—
1362#120—941no—
1363#120—941no—
1364#120—941no—
1365#120—941no—
1366#120—941no—
1367#120—941no—
1368C4×Q8—471no—
1369C4×Q8—471no—
1370C4×Q8—471no—
1371C4×D4—471no—
1372C4×D4—471no—
1373C4×D4—471no—
1374C4×D4—471no—
1375C4×D4—471no—
1376C4×D4—471no—
1377C4×D4—471no—
1378C4×D4—471no—
1379C4×D4—471no—
1380C4×D4—941no—
1381C4×D4—941no—
1382C4×D4—941no—
1383C4×D4—941no—
1384C4×D4—941no—
1385C4×D4—941no—
1386C4×D4—941no—
1387C4×D4—941no—
1388C4×D4—941no—
1389C4×D4—941no—
1390#117—471no—
1391#117—471no—
1392#117—941no—
1393#117—941no—
1394#117—941no—
1395#117C22×D4711yescharacteristic
1396C2×C4⋊C4—471no—
1397C2×C4⋊C4—471no—
1398C2×C4⋊C4—471no—
1399C2×C4⋊C4—941no—
1400C2×C22⋊C4—941no—
1401C2×C22⋊C4—941no—
1402C2×C22⋊C4—941no—
1403C2×C22⋊C4—941no—
1404C2×C22⋊C4—941no—
1405C2×C22⋊C4—941no—
1406#107—471no—
1407#107—471no—
1408#107—471no—
1409#107—471no—
1410#107—471no—
1411#107—471no—
1412#106—471no—
1413#106—471no—
1414C4⋊C8—471no—
1415C4⋊C8—471no—
1416C4⋊C8—471no—
1417C4⋊C8—471no—
1418#103—471no—
1419#103—471no—
1420#103—471no—
1421#103—471no—
1422#103—471no—
1423#103—471no—
1424#103—471no—
1425#103—471no—
1426#103C22×D4711yescharacteristic
1427#103C22×D4711yescharacteristic
1428#102—471no—
1429#102—471no—
1430#102—471no—
1431#102—471no—
1432#102—471no—
1433#102—471no—
1434#102—471no—
1435#102—471no—
1436#102—471no—
1437#102—471no—
1438#102—471no—
1439#102—471no—
1440#102—471no—
1441#102—471no—
1442#102—471no—
1443#102—471no—
1444#102C22×D4711yescharacteristic
1445#102C22×D4711yescharacteristic
1446#102C22×D4711yescharacteristic
1447#102C22×D4711yescharacteristic
1448#102C22×D4711yescharacteristic
1449#102C22×D4711yescharacteristic
1450C22⋊C8—471no—
1451C22⋊C8—471no—
1452C22⋊C8—471no—
1453C22⋊C8—471no—
1454C22⋊C8—471no—
1455C22⋊C8—471no—
1456C22⋊C8—471no—
1457C22⋊C8—471no—
1458C22⋊C8C22×D4711yescharacteristic
1459C22⋊C8C22×D4711yescharacteristic
1460C22⋊C8C22×D4711yescharacteristic
1461C22⋊C8C22×D4711yescharacteristic
1462#97—471no—
1463#97—471no—
1464C4×C8—471no—
1465C4×C8—471no—
1466C24—21no—
1467C24—21no—
1468C24—21no—
1469C24—21no—
1470C24—471no—
1471C24—941no—
1472C24—941no—
1473#41—22no—
1474#41—22no—
1475#41—22no—
1476#41—22no—
1477#41—41no—
1478#41—41no—
1479#41—41no—
1480#41—41no—
1481#41—44no—
1482#41—942no—
1483#41—942no—
1484#41—3762no—
1485#41—1881no—
1486#41—1881no—
1487#41—1881no—
1488#41—1881no—
1489#41—1884no—
1490#41—1881no—
1491#41—1881no—
1492#41—1881no—
1493#41—1881no—
1494#41—1884no—
1495C2×Q8—471no—
1496C2×Q8—471no—
1497C2×Q8—941no—
1498C2×Q8—941no—
1499C2×Q8—942no—
1500C2×Q8—1881no—
1501C2×Q8D4×D4711yescharacteristic
1502C2×Q8C23×D4711yescharacteristic
1503C2×D4—21no—
1504C2×D4—22no—
1505C2×D4—22no—
1506C2×D4—21no—
1507C2×D4—21no—
1508C2×D4—21no—
1509C2×D4—21no—
1510C2×D4—21no—
1511C2×D4—21no—
1512C2×D4—21no—
1513C2×D4—21no—
1514C2×D4—21no—
1515C2×D4—21no—
1516C2×D4—41no—
1517C2×D4—41no—
1518C2×D4—41no—
1519C2×D4—41no—
1520C2×D4—41no—
1521C2×D4—41no—
1522C2×D4—44no—
1523C2×D4—44no—
1524C2×D4—44no—
1525C2×D4—471no—
1526C2×D4—471no—
1527C2×D4—471no—
1528C2×D4—471no—
1529C2×D4—471no—
1530C2×D4—471no—
1531C2×D4—941no—
1532C2×D4—941no—
1533C2×D4—941no—
1534C2×D4—941no—
1535C2×D4—941no—
1536C2×D4—941no—
1537C2×D4—941no—
1538C2×D4—941no—
1539C2×D4—941no—
1540C2×D4—941no—
1541C2×D4—942no—
1542C2×D4—941no—
1543C2×D4—941no—
1544C2×D4—941no—
1545C2×D4—941no—
1546C2×D4—941no—
1547C2×D4—941no—
1548C2×D4—941no—
1549C2×D4—941no—
1550C2×D4—941no—
1551C2×D4—941no—
1552C2×D4—941no—
1553C2×D4—941no—
1554C2×D4—941no—
1555C2×D4—941no—
1556C2×D4—3762no—
1557C2×D4—3762no—
1558C2×D4—3762no—
1559C2×D4—3762no—
1560C2×D4—3762no—
1561C2×D4—1881no—
1562C2×D4—1881no—
1563C2×D4—1881no—
1564C2×D4—1884no—
1565C2×D4D4×D4711yescharacteristic
1566C2×D4D4×D4711yescharacteristic
1567C2×D4D4×D4711yescharacteristic
1568C2×D4C23×D4711yescharacteristic
1569C2×D4C23×D4711yescharacteristic
1570C2×D4C23×D4711yescharacteristic
1571C2×D4C23×D4711yescharacteristic
1572C2×D4C23×D4711yescharacteristic
1573C22×C4—21no—
1574C22×C4—21no—
1575C22×C4—21no—
1576C22×C4—471no—
1577C22×C4—471no—
1578C22×C4—471no—
1579C22×C4—471no—
1580C22×C4—471no—
1581C22×C4—941no—
1582C22×C4—941no—
1583C22×C4—941no—
1584C22×C4—941no—
1585C22×C4—941no—
1586C22×C4—941no—
1587C22×C4—941no—
1588C22×C4—941no—
1589C22×C4—941no—
1590C22×C4—941no—
1591C22×C4—941no—
1592C22×C4—941no—
1593C22×C4—941no—
1594C22×C4—941no—
1595C22×C4—1881no—
1596C22×C4—1881no—
1597C22×C4—1884no—
1598C22×C4C23×D4711yescharacteristic
1599C22×C4C23×D4711yescharacteristic
1600C22×C4C23×D4711yescharacteristic
1601Q16—942no—
1602Q16—1881no—
1603SD16—22no—
1604SD16—22no—
1605SD16—942no—
1606SD16—942no—
1607SD16—1881no—
1608SD16—1881no—
1609SD16—1881no—
1610SD16—1881no—
1611SD16—1881no—
1612SD16—1881no—
1613D8—22no—
1614D8—22no—
1615D8—41no—
1616D8—41no—
1617D8—41no—
1618D8—41no—
1619D8—942no—
1620D8—1881no—
1621D8—1881no—
1622D8—1881no—
1623D8—1881no—
1624D8—1881no—
1625M16—41no—
1626M16—1881no—
1627C2×C8—41no—
1628C2×C8—471no—
1629C2×C8—471no—
1630C2×C8—471no—
1631C2×C8—471no—
1632C2×C8—1881no—
1633C2×C8—1881no—
1634C2×C8—1881no—
1635C2×C8—1881no—
1636C2×C8—1881no—
1637C2×C8C23×D4711yescharacteristic
1638C2×C8C23×D4711yescharacteristic
1639C2×C8C23×D4711yescharacteristic
1640C2×C8C23×D4711yescharacteristic
1641C4⋊C4—471no—
1642C4⋊C4—471no—
1643C4⋊C4—471no—
1644C4⋊C4—471no—
1645C4⋊C4—471no—
1646C4⋊C4—471no—
1647C4⋊C4—471no—
1648C4⋊C4—471no—
1649C4⋊C4—471no—
1650C4⋊C4—471no—
1651C4⋊C4—941no—
1652C4⋊C4—941no—
1653C4⋊C4—941no—
1654C4⋊C4—941no—
1655C4⋊C4—941no—
1656C4⋊C4—941no—
1657C4⋊C4—941no—
1658C4⋊C4—941no—
1659C4⋊C4—941no—
1660C4⋊C4—941no—
1661C4⋊C4—941no—
1662C4⋊C4—941no—
1663C4⋊C4—941no—
1664C4⋊C4—941no—
1665C4⋊C4C23×D4711yescharacteristic
1666C4⋊C4C23×D4711yescharacteristic
1667C22⋊C4—21no—
1668C22⋊C4—21no—
1669C22⋊C4—21no—
1670C22⋊C4—21no—
1671C22⋊C4—21no—
1672C22⋊C4—471no—
1673C22⋊C4—471no—
1674C22⋊C4—471no—
1675C22⋊C4—471no—
1676C22⋊C4—471no—
1677C22⋊C4—471no—
1678C22⋊C4—471no—
1679C22⋊C4—471no—
1680C22⋊C4—471no—
1681C22⋊C4—471no—
1682C22⋊C4—941no—
1683C22⋊C4—941no—
1684C22⋊C4—941no—
1685C22⋊C4—941no—
1686C22⋊C4—941no—
1687C22⋊C4—941no—
1688C22⋊C4—941no—
1689C22⋊C4—941no—
1690C22⋊C4—941no—
1691C22⋊C4—941no—
1692C22⋊C4—941no—
1693C22⋊C4—941no—
1694C22⋊C4—941no—
1695C22⋊C4—941no—
1696C22⋊C4—941no—
1697C22⋊C4—941no—
1698C22⋊C4—941no—
1699C22⋊C4—941no—
1700C22⋊C4—941no—
1701C22⋊C4—941no—
1702C22⋊C4—941no—
1703C22⋊C4—941no—
1704C22⋊C4—941no—
1705C22⋊C4—941no—
1706C22⋊C4—941no—
1707C22⋊C4—941no—
1708C22⋊C4—941no—
1709C22⋊C4—941no—
1710C42—21no—
1711C42—471no—
1712C42—471no—
1713C42—941no—
1714C42—941no—
1715C42—941no—
1716C42—941no—
1717C23—21no—
1718C23—21no—
1719C23—21no—
1720C23—21no—
1721C23—21no—
1722C23—42no—
1723C23—42no—
1724C23—42no—
1725C23—81no—
1726C23—81no—
1727C23—81no—
1728C23—81no—
1729C23—81no—
1730C23—81no—
1731C23—81no—
1732C23—81no—
1733C23—81no—
1734C23—471no—
1735C23—471no—
1736C23—942no—
1737C23—941no—
1738C23—941no—
1739C23—3761no—
1740C23—3761no—
1741C23—3761no—
1742C23—1881no—
1743C23—1881no—
1744C23—1882no—
1745C23—1882no—
1746C23—1882no—
1747C23C2×D4×D4711yescharacteristic
1748C23C2×D4×D4711yescharacteristic
1749C23C2×D4×D4711yescharacteristic
1750Q8—21no—
1751Q8—41no—
1752Q8—941no—
1753Q8—941no—
1754Q8—941no—
1755Q8—941no—
1756Q8—3761no—
1757Q8—1882no—
1758Q8#1309406912yes—
1759D4—24no—
1760D4—21no—
1761D4—21no—
1762D4—21no—
1763D4—21no—
1764D4—21no—
1765D4—21no—
1766D4—21no—
1767D4—21no—
1768D4—21no—
1769D4—41no—
1770D4—41no—
1771D4—41no—
1772D4—42no—
1773D4—42no—
1774D4—42no—
1775D4—42no—
1776D4—42no—
1777D4—81no—
1778D4—81no—
1779D4—81no—
1780D4—81no—
1781D4—81no—
1782D4—942no—
1783D4—942no—
1784D4—941no—
1785D4—941no—
1786D4—941no—
1787D4—941no—
1788D4—3761no—
1789D4—3761no—
1790D4—3761no—
1791D4—3761no—
1792D4—3761no—
1793D4—3761no—
1794D4—3761no—
1795D4—3761no—
1796D4—3761no—
1797D4—3761no—
1798D4—3761no—
1799D4—3761no—
1800D4—3761no—
1801D4—3761no—
1802D4—3761no—
1803D4—3761no—
1804D4—3761no—
1805D4—1882no—
1806D4—1881no—
1807D4—1881no—
1808D4—1882no—
1809D4—1882no—
1810D4—1882no—
1811D4—1882no—
1812D4—1882no—
1813D4—1882no—
1814D4#1309406912yes—
1815C2×C4—24no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—21no—
1823C2×C4—21no—
1824C2×C4—21no—
1825C2×C4—42no—
1826C2×C4—42no—
1827C2×C4—471no—
1828C2×C4—471no—
1829C2×C4—471no—
1830C2×C4—471no—
1831C2×C4—471no—
1832C2×C4—471no—
1833C2×C4—941no—
1834C2×C4—941no—
1835C2×C4—941no—
1836C2×C4—941no—
1837C2×C4—941no—
1838C2×C4—941no—
1839C2×C4—941no—
1840C2×C4—941no—
1841C2×C4—941no—
1842C2×C4—941no—
1843C2×C4—3761no—
1844C2×C4—3761no—
1845C2×C4—3761no—
1846C2×C4—3761no—
1847C2×C4—3761no—
1848C2×C4—3761no—
1849C2×C4—3761no—
1850C2×C4—3761no—
1851C2×C4—3761no—
1852C2×C4—1881no—
1853C2×C4—1881no—
1854C2×C4—1882no—
1855C2×C4—1882no—
1856C2×C4—1882no—
1857C2×C4—1882no—
1858C2×C4—1881no—
1859C2×C4—1882no—
1860C2×C4C2×D4×D4711yescharacteristic
1861C2×C4C2×D4×D4711yescharacteristic
1862C2×C4C2×D4×D4711yescharacteristic
1863C2×C4C24×D4711yescharacteristic
1864C8—21no—
1865C8—21no—
1866C8—21no—
1867C8—21no—
1868C8—941no—
1869C8—941no—
1870C8—941no—
1871C8—941no—
1872C22—21no—
1873C22—21no—
1874C22—21no—
1875C22—21no—
1876C22—21no—
1877C22—21no—
1878C22—21no—
1879C22—22no—
1880C22—21no—
1881C22—21no—
1882C22—41no—
1883C22—41no—
1884C22—41no—
1885C22—41no—
1886C22—41no—
1887C22—41no—
1888C22—41no—
1889C22—41no—
1890C22—41no—
1891C22—41no—
1892C22—41no—
1893C22—41no—
1894C22—41no—
1895C22—41no—
1896C22—162no—
1897C22—162no—
1898C22—162no—
1899C22—162no—
1900C22—472no—
1901C22—941no—
1902C22—941no—
1903C22—941no—
1904C22—941no—
1905C22—941no—
1906C22—3764no—
1907C22—3762no—
1908C22—1881no—
1909C22—1881no—
1910C22—1881no—
1911C22—1881no—
1912C22—1881no—
1913C22—1881no—
1914C22—7522no—
1915C22C22×D4×D4711yescharacteristic
1916C4—21no—
1917C4—22no—
1918C4—21no—
1919C4—21no—
1920C4—41no—
1921C4—41no—
1922C4—941no—
1923C4—941no—
1924C4—941no—
1925C4—941no—
1926C4—941no—
1927C4—941no—
1928C4—1881no—
1929C4—1881no—
1930C4—1881no—
1931C4—1881no—
1932C4—1881no—
1933C4—1881no—
1934C4C2×#1309406911yescharacteristic
1935C4C2×#1309406911yescharacteristic
1936C2—41no—
1937C2—41no—
1938C2—41no—
1939C2—42no—
1940C2—81no—
1941C2—81no—
1942C2—81no—
1943C2—81no—
1944C2—942no—
1945C2—3761no—
1946C2—3761no—
1947C2—1881no—
1948C2#2025701711yescharacteristic
1949C2#576×D4711yescharacteristic
1950C2#2025815611yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3008C2
socleC22×C47C23×D4
hypercenter#3008D47
hypocenterC47#61639
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C2×#41 ◁ #3008

Complements

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

NH ≅ G/Ntype
1. #20257706C2semidirect
2. #20257050C2semidirect
3. #20255545C2semidirect
4. #20255410C2semidirect
5. #20255387C2semidirect
6. #20255372C2semidirect
7. #20255334C2semidirect
8. #20255276C2semidirect
9. #20255242C2semidirect
10. #20255194C2semidirect
11. #20255141C2semidirect
12. #20255098C2semidirect
13. #20255073C2semidirect
14. D8×C22⋊D47C2semidirect
15. #20254926C2semidirect
16. #20254922C2semidirect
17. #20254877C2semidirect
18. #20254866C2semidirect
19. #20254478C2semidirect
20. #20254434C2semidirect
21. #20254290C2semidirect
22. #20254240C2semidirect
23. #20254150C2semidirect
24. #20254137C2semidirect
25. #20253643C2semidirect
26. #20253580C2semidirect
27. #20252692C2semidirect
28. #20252603C2semidirect
29. #449×D47C2semidirect
30. #20252440C2semidirect
31. C47×#3008C2semidirect
32. C2×#41×D47C22semidirect
33. C2×#13094050C22semidirect
34. C2×#13094045C22semidirect
35. C2×#13094044C22semidirect
36. C2×#13094043C22semidirect
37. C2×SD16×D47C22semidirect
38. C2×D8×D47C22semidirect
41. #15689836C22semidirect
42. #15689825C22semidirect
43. #15689812C22semidirect
45. #15689792C22semidirect
46. #15689792C22semidirect
47. #15689791C22semidirect
49. #15689780C22semidirect
50. #15689773C22semidirect
51. #15689770C22semidirect
54. #15689767C22semidirect
55. #15689767C22semidirect
56. #15689767C22semidirect
61. D4×C22⋊D47C22semidirect
62. D4×C22⋊D47C22semidirect
63. #15689740C22semidirect
65. #15689726C22semidirect
68. #15689701C22semidirect
69. #15689701C22semidirect
71. #15689690C22semidirect
74. #15689633C22semidirect
78. C2×#13093995C22semidirect
79. #121×D47C22semidirect
80. #15689606C22semidirect
81. #15689511C22semidirect
82. #15689511C22semidirect
83. #15689506C22semidirect
84. #15689498C22semidirect
85. #15689486C22semidirect
86. #15689481C22semidirect
87. #15689476C22semidirect
88. #15689468C22semidirect
89. #15689464C22semidirect
90. #15689459C22semidirect
91. #15689459C22semidirect
92. #15689447C22semidirect
93. #15689445C22semidirect
94. #15689445C22semidirect
95. #15689439C22semidirect
96. #15689437C22semidirect
97. #15689437C22semidirect
98. #15689435C22semidirect
99. #15689435C22semidirect
100. #15689434C22semidirect
101. #15689432C22semidirect
102. #15689421C22semidirect
103. #15689416C22semidirect
104. #15689401C22semidirect
105. #15689374C22semidirect
106. #15689369C22semidirect
107. #15689369C22semidirect
108. #15689367C22semidirect
109. #15689364C22semidirect
110. #15689359C22semidirect
111. #15689358C22semidirect
112. #15689358C22semidirect
113. #15689357C22semidirect
114. #15689356C22semidirect
115. #15689356C22semidirect
116. #15689356C22semidirect
117. #15689356C22semidirect
118. #15689351C22semidirect
119. #15689351C22semidirect
120. #15689350C22semidirect
121. #15689344C22semidirect
122. #15689343C22semidirect
123. #15689337C22semidirect
124. #15689336C22semidirect
125. #15689336C22semidirect
126. #15689336C22semidirect
127. #15689322C22semidirect
128. #15689321C22semidirect
129. #15689317C22semidirect
130. #15689316C22semidirect
131. #15689316C22semidirect
132. #15689316C22semidirect
133. #15689287C22semidirect
134. #15689287C22semidirect
135. #15689285C22semidirect
136. #15689285C22semidirect
137. #15689280C22semidirect
138. #15689275C22semidirect
139. #15689274C22semidirect
140. #15689274C22semidirect
141. #15689274C22semidirect
142. #15689271C22semidirect
143. #15689270C22semidirect
144. #15689270C22semidirect
145. #15689269C22semidirect
146. #15689268C22semidirect
147. #15689268C22semidirect
148. #15689267C22semidirect
149. #15689266C22semidirect
150. #15689266C22semidirect
151. #15689265C22semidirect
152. #15689265C22semidirect
153. #15689265C22semidirect
154. #15689260C22semidirect
155. #15689257C22semidirect
156. #15689257C22semidirect
157. #15689257C22semidirect
158. #15689255C22semidirect
159. #15689255C22semidirect
160. #15689255C22semidirect
161. #15689232C22semidirect
162. #15689224C22semidirect
163. #15689224C22semidirect
164. #15689220C22semidirect
165. #15689215C22semidirect
166. #15689208C22semidirect
167. D8×Dic47C22semidirect
168. D8×Dic47C22semidirect
169. #15689197C22semidirect
170. #15689197C22semidirect
171. #15689192C22semidirect
172. #15689192C22semidirect
173. C8×C22⋊D47C22semidirect
174. C8×C22⋊D47C22semidirect
175. (C22⋊D47)⋊C8C22semidirect
176. (C22⋊D47)⋊C8C22semidirect
177. #15689181C22semidirect
178. #15689181C22semidirect
179. #15689124C22semidirect
180. #15689118C22semidirect
181. #15689116C22semidirect
182. #103×D47C22semidirect
183. C2×#13093945C22semidirect
184. #102×D47C22semidirect
185. #15689090C22semidirect
186. C22⋊C8×D47C22semidirect
187. C22⋊C8×D47C22semidirect
188. C2×H(5,𝔽2)×C47C22semidirect
189. C2×AGL(1,ℤ/8)×C47C22semidirect
190. C22×D8×C47C22semidirect
191. C47×#535C22semidirect
193. C47×#449C22semidirect
194. C47×#449C22semidirect
195. C47×#449C22semidirect
196. C47×#447C22semidirect
197. C47×#447C22semidirect
198. C47×#447C22semidirect
199. C47×#447C22semidirect
200. C47×#418C22semidirect
201. C47×#416C22semidirect
202. C47×#408C22semidirect
988. #3008D47semidirect
1007. C2×H(5,𝔽2)C2×D47semidirect
1010. C2×AGL(1,ℤ/8)C2×D47semidirect
1016. C22×D8C2×D47semidirect
1051. #535C2×D47semidirect
1134. #449C2×D47semidirect
1135. #449C2×D47semidirect
1136. #449C2×D47semidirect
1144. #447C2×D47semidirect
1145. #447C2×D47semidirect
1146. #447C2×D47semidirect
1147. #447C2×D47semidirect
1166. #418C2×D47semidirect
1170. #416C2×D47semidirect
1175. #408C2×D47semidirect
1178. C47#61639semidirect

Maximal subgroups

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

subgroupindex
#202577062
#202570502
#202555452
#202554102
#202553872
#202553722
#202553342
#202552762
#202552422
#202551942
#202551412
#202550982
#202550732
D8×C22⋊D472
#202549262
#202549222
#202548772
#202548662
#202544782
#202544342
#202542902
#202542402
#202541502
#202541372
#202536432
#202535802
#202526922
#202526032
#449×D472
#202524402
C47×#30082
#6163947