Finite Group Databasebeta

← #26386273

Subgroups — #26386273

Order 12032.

1918 conjugacy classes of subgroups.

The subgroup lattice has 1400 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20247995C211yesmaximal, characteristic, complemented
2#20247989C211yesmaximal, characteristic, complemented
3#20247984C211yesmaximal, characteristic, complemented
4#20247978C211yesmaximal, characteristic, complemented
5#20247971C211yesmaximal, characteristic, complemented
6#20247969C211yesmaximal, characteristic, complemented
7#20247960C211yesmaximal, characteristic, complemented
8#20247958C211yesmaximal, characteristic, complemented
9#20247954C211yesmaximal, characteristic, complemented
10#20247948C211yesmaximal, characteristic, complemented
11#20247946C211yesmaximal, characteristic, complemented
12#20247656C211yesmaximal, characteristic, complemented
13#20247654C211yesmaximal, characteristic, complemented
14#20247651C211yesmaximal, characteristic, complemented
15#20247649C211yesmaximal, characteristic, complemented
16#20246691C211yesmaximal, characteristic, complemented
17#20246687C211yesmaximal, characteristic, complemented
18#20246685C211yesmaximal, characteristic, complemented
19#20246685C211yesmaximal, characteristic, complemented
20#20245942C211yesmaximal, characteristic, complemented
21#20245942C211yesmaximal, characteristic, complemented
22#20245938C211yesmaximal, characteristic, complemented
23#20245936C211yesmaximal, characteristic, complemented
24#20245873C211yesmaximal, characteristic
25#20245873C211yesmaximal, characteristic
26#20245873C211yesmaximal, characteristic
27#20245867C211yesmaximal, characteristic, complemented
28#20245790C211yesmaximal, characteristic, complemented
29C4×#13093980C211yesmaximal, characteristic, complemented
30C2×#15688974C211yesmaximal, characteristic, complemented
31C47×#2510C211yesmaximal, characteristic, complemented
32C22×#10625352C2211yescharacteristic
33C2×#13094019C2211yescharacteristic
34C2×#13094018C2211yescharacteristic
35C2×#13094017C2211yescharacteristic
36C2×#13094017C2211yescharacteristic
37C2×#13093980C2211yescharacteristic
38C2×#13093980C2211yescharacteristic
39C2×#13093980C2211yescharacteristic
40C22×Dic47⋊C4C2211yescharacteristic
41C22×Dic47⋊C4C2211yescharacteristic
42C22×C4×Dic47C2211yescharacteristic
43C22×C4×Dic47C2211yescharacteristic
44C22×C4×Dic47C2211yescharacteristic
45C47⋊#401C2211yescharacteristic
46C47⋊#401C2211yescharacteristic
47C47⋊#401C2211yescharacteristic
48#15689065C2211yescharacteristic
49#15689065C2211yescharacteristic
50#15689065C2211yescharacteristic
51#15689064C2211yescharacteristic
52#15689064C2211yescharacteristic
53#15689064C2211yescharacteristic
54#15689064C2211yescharacteristic
55#15689064C2211yescharacteristic
56#15689063C2211yescharacteristic
57#15689061C2211yescharacteristic
58#15689061C2211yescharacteristic
59#15689052C2211yescharacteristic
60#15689052C2211yescharacteristic
61#15689052C2211yescharacteristic
62#15689052C2211yescharacteristic
63#15689051C2211yescharacteristic
64#15689051C2211yescharacteristic
65#15689051C2211yescharacteristic
66#15689051C2211yescharacteristic
67#15689050C2211yescharacteristic
68#15689049C2211yescharacteristic
69#15689047C2211yescharacteristic
70#15689046C2211yescharacteristic
71#15689046C2211yescharacteristic
72#15689045C2211yescharacteristic
73#15689027C2211yescharacteristic
74#15689027C2211yescharacteristic
75#15689027C2211yescharacteristic
76#15689027C2211yescharacteristic
77#15689027C2211yescharacteristic
78#15689027C2211yescharacteristic
79#15689023C2211yescharacteristic
80#15689023C2211yescharacteristic
81#15689023C2211yescharacteristic
82#15689023C2211yescharacteristic
83#15689023C2211yescharacteristic
84#15689023C2211yescharacteristic
85#15689020C2211yescharacteristic
86#15689020C2211yescharacteristic
87#15689018C2211yescharacteristic
88#15689018C2211yescharacteristic
89#15689017C2211yescharacteristic
90#15689017C2211yescharacteristic
91#15689015C2211yescharacteristic
92#15689014C2211yescharacteristic
93#15689013C2211yescharacteristic
94#15689012C2211yescharacteristic
95#15689012C2211yescharacteristic
96#15689012C2211yescharacteristic
97#15689011C2211yescharacteristic
98#15689011C2211yescharacteristic
99#15689010C2211yescharacteristic
100#15689008C2211yescharacteristic
101#15689007C2211yescharacteristic
102#15689007C2211yescharacteristic
103#15689006C2211yescharacteristic
104#15689006C2211yescharacteristic
105#15689005C2211yescharacteristic
106#15689005C2211yescharacteristic
107#15689005C2211yescharacteristic
108#15689004C2211yescharacteristic
109#15689004C2211yescharacteristic
110#15689003C2211yescharacteristic
111#15689003C2211yescharacteristic
112#15689003C2211yescharacteristic
113#15689002C2211yescharacteristic
114#15689002C2211yescharacteristic
115#15689002C2211yescharacteristic
116#15689000C2211yescharacteristic
117#15689000C2211yescharacteristic
118#15689000C2211yescharacteristic
119#15688998C2211yescharacteristic
120#15688996C2211yescharacteristic
121#15688995C2211yescharacteristic
122#15688992C2211yescharacteristic
123#15688992C2211yescharacteristic
124#15688990C2211yescharacteristic
125#15688990C2211yescharacteristic
126#15688990C2211yescharacteristic
127#15688987C2211yescharacteristic
128#15688987C2211yescharacteristic
129#15688983C2211yescharacteristic
130#15688981C2211yescharacteristic
131#15688981C2211yescharacteristic
132C4⋊C4×Dic47C2211yescharacteristic
133C4⋊C4×Dic47C2211yescharacteristic
134C4⋊C4×Dic47C2211yescharacteristic
135C4⋊C4×Dic47C2211yescharacteristic
136C4×Dic47⋊C4C2211yescharacteristic
137C4×Dic47⋊C4C2211yescharacteristic
138#15688974C2211yescharacteristic
139#15688974C2211yescharacteristic
140#15688974C2211yescharacteristic
141#15688974C2211yescharacteristic
142#15688974C2211yescharacteristic
143#15688974C2211yescharacteristic
144#15688974C2211yescharacteristic
145#15688974C2211yescharacteristic
146#15688974C2211yescharacteristic
147#15688974C2211yescharacteristic
148#15688974C2211yescharacteristic
149#15688974C2211yescharacteristic
150#15688974C2211yescharacteristic
151#15688974C2211yescharacteristic
152C22⋊C4×Dic47C2211yescharacteristic
153C22⋊C4×Dic47C2211yescharacteristic
154C22⋊C4×Dic47C2211yescharacteristic
155C22⋊C4×Dic47C2211yescharacteristic
156C22⋊C4×Dic47C2211yescharacteristic
157C22⋊C4×Dic47C2211yescharacteristic
158C22⋊C4×Dic47C2211yescharacteristic
159C22⋊C4×Dic47C2211yescharacteristic
160C4×C22⋊Dic47C2211yescharacteristic
161#15688970C2211yescharacteristic
162#15688970C2211yescharacteristic
163#15688970C2211yescharacteristic
164#15688970C2211yescharacteristic
165#15688970C2211yescharacteristic
166#15688970C2211yescharacteristic
167#15688968C2211yescharacteristic
168#15688968C2211yescharacteristic
169C2×C47⋊#95C2211yescharacteristic
170C42×Dic47C2211yescharacteristic
171C42×Dic47C2211yescharacteristic
172C47×#401C2211yescharacteristic
173C47×#400C2211yescharacteristic
174C47×#397C2211yescharacteristic
175C47×#397C2211yescharacteristic
176C47×#388C2211yescharacteristic
177C47×#388C2211yescharacteristic
178C47×#387C2211yescharacteristic
179C47×#386C2211yescharacteristic
180C47×#386C2211yescharacteristic
181C47×#386C2211yescharacteristic
182C47×#385C2211yescharacteristic
183C47×#383C2211yescharacteristic
184C47×#380C2211yescharacteristic
185C4×C22⋊C4×C47C2211yescharacteristic
186C2×#95×C47C2211yescharacteristic
187C2×#10625352—24no—
188C2×#10625352—24no—
189C2×#10625352—24no—
190C22×Dic94C2311yescharacteristic
191C22×C22⋊D47C2311yescharacteristic
192C22×C22⋊D47C2311yescharacteristic
193C23×Dic47C2311yescharacteristic
194C23×Dic47C2311yescharacteristic
195C23×Dic47C2311yescharacteristic
196C23×Dic47C2311yescharacteristic
197C23×Dic47C2311yescharacteristic
198C22×C4×D47C2311yescharacteristic
199#13094019—24no—
200#13094018—24no—
201#13094017—24no—
202#13094017—24no—
203#13093980—24no—
204#13093980—24no—
205#13093980—24no—
206C2×C4⋊Dic47C2311yescharacteristic
207C2×C4⋊Dic47C2311yescharacteristic
208C2×C4⋊Dic47C2311yescharacteristic
209C2×C4⋊Dic47C2311yescharacteristic
210C2×Dic47⋊C4—24no—
211C2×Dic47⋊C4—24no—
212C2×Dic47⋊C4C2311yescharacteristic
213C2×Dic47⋊C4C2311yescharacteristic
214C2×Dic47⋊C4C2311yescharacteristic
215C2×Dic47⋊C4C2311yescharacteristic
216C2×Dic47⋊C4C2311yescharacteristic
217C2×Dic47⋊C4C2311yescharacteristic
218C2×Dic47⋊C4C2311yescharacteristic
219C2×Dic47⋊C4C2311yescharacteristic
220C2×Dic47⋊C4C2311yescharacteristic
221C2×Dic47⋊C4C2311yescharacteristic
222C2×Dic47⋊C4C2311yescharacteristic
223C2×Dic47⋊C4C2311yescharacteristic
224C2×Dic47⋊C4C2311yescharacteristic
225C2×Dic47⋊C4C2311yescharacteristic
226C2×Dic47⋊C4C2311yescharacteristic
227C2×Dic47⋊C4C2311yescharacteristic
228C2×Dic47⋊C4C2311yescharacteristic
229C2×Dic47⋊C4C2311yescharacteristic
230C2×Dic47⋊C4C2311yescharacteristic
231C2×Dic47⋊C4C2311yescharacteristic
232C2×Dic47⋊C4C2311yescharacteristic
233C2×Dic47⋊C4C2311yescharacteristic
234C2×C22⋊Dic47C2311yescharacteristic
235C2×C22⋊Dic47C2311yescharacteristic
236C2×C22⋊Dic47C2311yescharacteristic
237C2×C22⋊Dic47C2311yescharacteristic
238C2×C22⋊Dic47C2311yescharacteristic
239C2×C22⋊Dic47C2311yescharacteristic
240C2×C22⋊Dic47C2311yescharacteristic
241C2×C22⋊Dic47C2311yescharacteristic
242C2×C22⋊Dic47C2311yescharacteristic
243C2×(C2×D47)⋊C4C2311yescharacteristic
244C2×(C2×D47)⋊C4C2311yescharacteristic
245C2×(C2×D47)⋊C4C2311yescharacteristic
246C2×(C2×D47)⋊C4C2311yescharacteristic
247C2×(C2×D47)⋊C4C2311yescharacteristic
248C2×(C2×D47)⋊C4C2311yescharacteristic
249C2×(C2×D47)⋊C4C2311yescharacteristic
250C2×(C2×D47)⋊C4C2311yescharacteristic
251C2×(C2×D47)⋊C4C2311yescharacteristic
252C2×(C2×D47)⋊C4C2311yescharacteristic
253C2×(C2×D47)⋊C4C2311yescharacteristic
254C2×(C2×D47)⋊C4C2311yescharacteristic
255C2×C4×Dic47—24no—
256C2×C4×Dic47—24no—
257C2×C4×Dic47—24no—
258C2×C4×Dic47C2311yescharacteristic
259C2×C4×Dic47C2311yescharacteristic
260C2×C4×Dic47C2311yescharacteristic
261C2×C4×Dic47C2311yescharacteristic
262C2×C4×Dic47C2311yescharacteristic
263C2×C4×Dic47C2311yescharacteristic
264C2×C4×Dic47C2311yescharacteristic
265C2×C4×Dic47C2311yescharacteristic
266C2×C4×Dic47C2311yescharacteristic
267C2×C4×Dic47C2311yescharacteristic
268C2×C4×Dic47C2311yescharacteristic
269C2×C4×Dic47C2311yescharacteristic
270C2×C4×Dic47C2311yescharacteristic
271C2×C4×Dic47C2311yescharacteristic
272C2×C4×Dic47C2311yescharacteristic
273C2×C4×Dic47C2311yescharacteristic
274C2×C4×Dic47C2311yescharacteristic
275C2×C4×Dic47C2311yescharacteristic
276C2×C4×Dic47C2311yescharacteristic
277C2×C4×Dic47C2311yescharacteristic
278C2×C4×Dic47C2311yescharacteristic
279C2×C4×Dic47C2311yescharacteristic
280C2×C4×Dic47C2311yescharacteristic
281C2×C4×Dic47C2311yescharacteristic
282C47⋊#95C2311yescharacteristic
283C47⋊#95C2311yescharacteristic
284C47⋊#95C2311yescharacteristic
285C47⋊#95C2311yescharacteristic
286C47⋊#95C2311yescharacteristic
287C47⋊#95C2311yescharacteristic
288C47⋊#95C2311yescharacteristic
289C47⋊#95C2311yescharacteristic
290C47⋊#95C2311yescharacteristic
291C47⋊#95C2311yescharacteristic
292C47⋊#95C2311yescharacteristic
293C47⋊#95C2311yescharacteristic
294C47⋊#95C2311yescharacteristic
295C47⋊#95C2311yescharacteristic
296C47⋊#95C2311yescharacteristic
297C47⋊#95C2311yescharacteristic
298C47⋊#95C2311yescharacteristic
299C47⋊#95C2311yescharacteristic
300C47⋊#95C2311yescharacteristic
301C47⋊#95C2311yescharacteristic
302C47⋊#95C2311yescharacteristic
303C47⋊#95C2311yescharacteristic
304C47⋊#95C2311yescharacteristic
305C47⋊#95C2311yescharacteristic
306C47⋊#95C2311yescharacteristic
307C47⋊#95C2311yescharacteristic
308C47⋊#95C2311yescharacteristic
309C47⋊#95C2311yescharacteristic
310C47⋊#95C2311yescharacteristic
311C47⋊#95C2311yescharacteristic
312C47⋊#95C2311yescharacteristic
313C47⋊#95C2311yescharacteristic
314C47⋊#95C2311yescharacteristic
315C47⋊#95C2311yescharacteristic
316C47⋊#95C2311yescharacteristic
317C47⋊#95C2311yescharacteristic
318C47⋊#95C2311yescharacteristic
319C47⋊#95C2311yescharacteristic
320C47⋊#95C2311yescharacteristic
321C47⋊#95C2311yescharacteristic
322C22×D4×C47C2311yescharacteristic
323C23×C4×C47C2311yescharacteristic
324C23×C4×C47C2311yescharacteristic
325C23×C4×C47C2311yescharacteristic
326C2×C4⋊C4×C47C2311yescharacteristic
327C2×C4⋊C4×C47C2311yescharacteristic
328C2×C4⋊C4×C47C2311yescharacteristic
329C2×C4⋊C4×C47C2311yescharacteristic
330C2×C22⋊C4×C47C2311yescharacteristic
331C2×C22⋊C4×C47C2311yescharacteristic
332C2×C22⋊C4×C47C2311yescharacteristic
333C2×C22⋊C4×C47C2311yescharacteristic
334C2×C22⋊C4×C47C2311yescharacteristic
335C2×C22⋊C4×C47C2311yescharacteristic
336C2×C22⋊C4×C47C2311yescharacteristic
337C2×C22⋊C4×C47C2311yescharacteristic
338C2×C22⋊C4×C47C2311yescharacteristic
339C2×C42×C47C2311yescharacteristic
340C2×C42×C47C2311yescharacteristic
341#95×C47C2311yescharacteristic
342#95×C47C2311yescharacteristic
343#95×C47C2311yescharacteristic
344#95×C47C2311yescharacteristic
345#95×C47C2311yescharacteristic
346#95×C47C2311yescharacteristic
347#95×C47C2311yescharacteristic
348#95×C47C2311yescharacteristic
349#95×C47C2311yescharacteristic
350#95×C47C2311yescharacteristic
351#95×C47C2311yescharacteristic
352#95×C47C2311yescharacteristic
353#95×C47C2311yescharacteristic
354#95×C47C2311yescharacteristic
355#95×C47C2311yescharacteristic
356#95×C47C2311yescharacteristic
357C24×C47C2411yescharacteristic
358C24×C47C2411yescharacteristic
359C23×D47C2411yescharacteristic
360C2×D4×C47—22no—
361C2×D4×C47—22no—
362C2×D4×C47—22no—
363C22×C4×C47—22no—
364C22×C4×C47—22no—
365C22×C4×C47—22no—
366C22×C4×C47—22no—
367C22×C4×C47—22no—
368C22×C4×C47—41no—
369C22×C4×C47—41no—
370C22×C4×C47—41no—
371C22×C4×C47—41no—
372C22×C4×C47C2411yescharacteristic
373C22×C4×C47C2411yescharacteristic
374C22×C4×C47C2411yescharacteristic
375C22×C4×C47C2411yescharacteristic
376C22×C4×C47C2411yescharacteristic
377C22×C4×C47C2411yescharacteristic
378C22×C4×C47C2411yescharacteristic
379C22×C4×C47C2411yescharacteristic
380C22×C4×C47C2411yescharacteristic
381C22×C4×C47C2411yescharacteristic
382C22×C4×C47C2411yescharacteristic
383C22×C4×C47C2411yescharacteristic
384C22×C4×C47C2411yescharacteristic
385C2×C22⋊D47—22no—
386C2×C22⋊D47—22no—
387C2×C22⋊D47—22no—
388C2×C22⋊D47—22no—
389C2×C22⋊D47—22no—
390C2×C22⋊D47—22no—
391C22×Dic47—22no—
392C22×Dic47—22no—
393C22×Dic47—22no—
394C22×Dic47—22no—
395C22×Dic47—22no—
396C22×Dic47—22no—
397C22×Dic47—22no—
398C22×Dic47—22no—
399C22×Dic47—22no—
400C22×Dic47—22no—
401C22×Dic47—41no—
402C22×Dic47—41no—
403C22×Dic47#4114yes—
404C22×Dic47#4114yes—
405C22×Dic47#4114yes—
406C22×Dic47C2411yescharacteristic
407C22×Dic47C2411yescharacteristic
408C22×Dic47C2411yescharacteristic
409C22×Dic47C2411yescharacteristic
410C22×Dic47C2411yescharacteristic
411C22×Dic47C2411yescharacteristic
412C22×Dic47C2411yescharacteristic
413C22×Dic47C2411yescharacteristic
414C22×Dic47C2411yescharacteristic
415C22×Dic47C2411yescharacteristic
416C22×Dic47C2411yescharacteristic
417C22×Dic47C2411yescharacteristic
418C22×Dic47C2411yescharacteristic
419C22×Dic47C2411yescharacteristic
420C22×Dic47C2411yescharacteristic
421#10625352—416no—
422C2×C4×D47—22no—
423C2×C4×D47—22no—
424C2×C4×D47—22no—
425C2×Dic94—22no—
426C2×Dic94—22no—
427C2×Dic94—22no—
428C4⋊C4×C47—22no—
429C4⋊C4×C47—41no—
430C4⋊C4×C47—41no—
431C4⋊C4×C47—41no—
432C22⋊C4×C47—22no—
433C22⋊C4×C47—22no—
434C22⋊C4×C47—22no—
435C22⋊C4×C47—22no—
436C22⋊C4×C47—22no—
437C22⋊C4×C47—41no—
438C22⋊C4×C47—41no—
439C22⋊C4×C47—41no—
440C22⋊C4×C47—41no—
441C42×C47—22no—
442C42×C47—41no—
443C22⋊Dic47—22no—
444C22⋊Dic47—22no—
445C22⋊Dic47—22no—
446C22⋊Dic47—22no—
447C22⋊Dic47—22no—
448C22⋊Dic47—22no—
449C22⋊Dic47—22no—
450C22⋊Dic47—41no—
451C22⋊Dic47—41no—
452(C2×D47)⋊C4—22no—
453(C2×D47)⋊C4—22no—
454(C2×D47)⋊C4—22no—
455(C2×D47)⋊C4—22no—
456(C2×D47)⋊C4—22no—
457(C2×D47)⋊C4—22no—
458(C2×D47)⋊C4—41no—
459(C2×D47)⋊C4—41no—
460(C2×D47)⋊C4—41no—
461(C2×D47)⋊C4—41no—
462(C2×D47)⋊C4—41no—
463(C2×D47)⋊C4—41no—
464C4⋊Dic47—22no—
465C4⋊Dic47—22no—
466C4⋊Dic47—22no—
467C4⋊Dic47—41no—
468Dic47⋊C4—22no—
469Dic47⋊C4—22no—
470Dic47⋊C4—22no—
471Dic47⋊C4—22no—
472Dic47⋊C4—22no—
473Dic47⋊C4—22no—
474Dic47⋊C4—22no—
475Dic47⋊C4—22no—
476Dic47⋊C4—22no—
477Dic47⋊C4—22no—
478Dic47⋊C4—22no—
479Dic47⋊C4—22no—
480Dic47⋊C4—22no—
481Dic47⋊C4—22no—
482Dic47⋊C4—22no—
483Dic47⋊C4—22no—
484Dic47⋊C4—41no—
485Dic47⋊C4—41no—
486Dic47⋊C4—41no—
487Dic47⋊C4—41no—
488Dic47⋊C4#4114yescomplemented
489Dic47⋊C4#4114yescomplemented
490C4×Dic47—22no—
491C4×Dic47—22no—
492C4×Dic47—22no—
493C4×Dic47—22no—
494C4×Dic47—22no—
495C4×Dic47—22no—
496C4×Dic47—22no—
497C4×Dic47—22no—
498C4×Dic47—22no—
499C4×Dic47—22no—
500C4×Dic47—22no—
501C4×Dic47—22no—
502C4×Dic47—22no—
503C4×Dic47—22no—
504C4×Dic47—22no—
505C4×Dic47—22no—
506C4×Dic47—22no—
507C4×Dic47—22no—
508C4×Dic47—22no—
509C4×Dic47—22no—
510C4×Dic47—22no—
511C4×Dic47—41no—
512C4×Dic47—41no—
513C4×Dic47—41no—
514C23×C47—21no—
515C23×C47—21no—
516C23×C47—21no—
517C23×C47—21no—
518C23×C47—21no—
519C23×C47—21no—
520C23×C47—21no—
521C23×C47—21no—
522C23×C47—21no—
523C23×C47—21no—
524C23×C47—21no—
525C23×C47C2×#4112yes—
526C23×C47C2×#4112yes—
527C23×C47C2×#4112yes—
528C23×C47C2511yescharacteristic
529C22×D47—21no—
530C22×D47—21no—
531C22×D47—21no—
532C22×D47—21no—
533C22×D47—21no—
534C22×D47—21no—
535C22×D47—21no—
536D4×C47—44no—
537C2×C4×C47—21no—
538C2×C4×C47—21no—
539C2×C4×C47—21no—
540C2×C4×C47—21no—
541C2×C4×C47—21no—
542C2×C4×C47—21no—
543C2×C4×C47—21no—
544C2×C4×C47—21no—
545C2×C4×C47—21no—
546C2×C4×C47—21no—
547C2×C4×C47—21no—
548C2×C4×C47—21no—
549C2×C4×C47—21no—
550C2×C4×C47—21no—
551C2×C4×C47—21no—
552C2×C4×C47—21no—
553C2×C4×C47—21no—
554C2×C4×C47—21no—
555C2×C4×C47—21no—
556C2×C4×C47—21no—
557C2×C4×C47—21no—
558C2×C4×C47—21no—
559C2×C4×C47—21no—
560C2×C4×C47—21no—
561C2×C4×C47—21no—
562C2×C4×C47—21no—
563C2×C4×C47—21no—
564C2×C4×C47—21no—
565C2×C4×C47—21no—
566C2×C4×C47—21no—
567C2×C4×C47—21no—
568C2×C4×C47—21no—
569C2×C4×C47—21no—
570C2×C4×C47—21no—
571C2×C4×C47—21no—
572C2×C4×C47—21no—
573C2×C4×C47—21no—
574C2×C4×C47—44no—
575C2×C4×C47—44no—
576C2×C4×C47—44no—
577C2×C4×C47C2×#4112yes—
578C2×C4×C47C2×#4112yes—
579C22⋊D47—44no—
580C22⋊D47—44no—
581C2×Dic47—28no—
582C2×Dic47—21no—
583C2×Dic47—21no—
584C2×Dic47—21no—
585C2×Dic47—21no—
586C2×Dic47—21no—
587C2×Dic47—21no—
588C2×Dic47—21no—
589C2×Dic47—21no—
590C2×Dic47—21no—
591C2×Dic47—21no—
592C2×Dic47—21no—
593C2×Dic47—21no—
594C2×Dic47—21no—
595C2×Dic47—21no—
596C2×Dic47—21no—
597C2×Dic47—21no—
598C2×Dic47—21no—
599C2×Dic47—21no—
600C2×Dic47—21no—
601C2×Dic47—21no—
602C2×Dic47—21no—
603C2×Dic47—21no—
604C2×Dic47—21no—
605C2×Dic47—21no—
606C2×Dic47—21no—
607C2×Dic47—21no—
608C2×Dic47—21no—
609C2×Dic47—21no—
610C2×Dic47—21no—
611C2×Dic47—21no—
612C2×Dic47—21no—
613C2×Dic47—21no—
614C2×Dic47—21no—
615C2×Dic47—21no—
616C2×Dic47—21no—
617C2×Dic47—44no—
618C2×Dic47—44no—
619C2×Dic47—44no—
620C2×Dic47#126116yescomplemented
621C2×Dic47C2×#4112yes—
622C2×Dic47C2×#4112yes—
623C2×Dic47C2×#4112yes—
624C2×Dic47C2×#4112yes—
625C2×Dic47C2×#4112yes—
626C2×Dic47C2×#4112yes—
627C2×Dic47C2×#4112yes—
628C2×Dic47C2×#4112yes—
629C2×Dic47C2×#4112yes—
630C2×Dic47C2×#4112yes—
631C4×D47—44no—
632Dic94—44no—
633#34816—471nomaximal, Sylow
634C22×C47—22no—
635C22×C47—22no—
636C22×C47—22no—
637C22×C47—22no—
638C22×C47—22no—
639C22×C47—22no—
640C22×C47—41no—
641C22×C47—41no—
642C22×C47—41no—
643C22×C47—41no—
644C22×C47—41no—
645C22×C47—41no—
646C22×C47—41no—
647C22×C47C2×#12614yes—
648C22×C47C22×#4111yescharacteristic
649C22×C47C22×#4111yescharacteristic
650C22×C47C22×#4111yescharacteristic
651C22×C47C22×#4111yescharacteristic
652C22×C47C22×#4111yescharacteristic
653C22×C47#58511yescharacteristic
654C22×C47#58511yescharacteristic
655C2×D47—41no—
656C2×D47—41no—
657C2×D47—41no—
658C2×D47—41no—
659C2×D47—41no—
660C2×D47—41no—
661C2×D47—41no—
662C4×C47—22no—
663C4×C47—22no—
664C4×C47—41no—
665C4×C47—41no—
666C4×C47—41no—
667C4×C47—41no—
668C4×C47—41no—
669C4×C47—41no—
670C4×C47—41no—
671C4×C47—41no—
672C4×C47—41no—
673C4×C47—41no—
674C4×C47—41no—
675Dic47—22no—
676Dic47—22no—
677Dic47—22no—
678Dic47—22no—
679Dic47—41no—
680Dic47—41no—
681Dic47—41no—
682Dic47—41no—
683Dic47—41no—
684Dic47—41no—
685Dic47—41no—
686Dic47—41no—
687Dic47—41no—
688Dic47C2×#12614yes—
689Dic47C2×#12614yes—
690#2514—471no—
691#2514—471no—
692#2513—471no—
693#2513—471no—
694#2512—471no—
695#2512—471no—
696#2511—471no—
697#2511—471no—
698#2510—471no—
699#2510—471no—
700#2510—471no—
701#2510D4711yescharacteristic, complemented
702#2481—471no—
703#2481—471no—
704#2481—471no—
705#2481—471no—
706#2401—471no—
707#2401—471no—
708#2401—471no—
709#2401—471no—
710C4×#126—471no—
711C4×#126—471no—
712C4×#126—471no—
713C4×#126—471no—
714#2297—471no—
715#2297—471no—
716#2297—471no—
717#2296—471no—
718#2285—471no—
719C4×#117—471no—
720C2×C4×C4⋊C4—471no—
721C2×C47—24no—
722C2×C47—81no—
723C2×C47C22×#12611yescharacteristic
724C2×C47#344411yescharacteristic
725C2×C47#345511yescharacteristic
726C2×C47#347511yescharacteristic
727C2×C47#347511yescharacteristic
728C2×C47#348011yescharacteristic
729C2×C47#348011yescharacteristic
730D47—81no—
731C22×#41—471no—
732C2×#126—471no—
733C2×#126—471no—
734C2×#126—471no—
735C2×#126—471no—
736C2×#117—471no—
737C2×#117—471no—
738C2×#117—471no—
739C22×C4⋊C4—471no—
740C22×C4⋊C4—471no—
741C22×C42—471no—
742C22×C42—471no—
743C22×C42—471no—
744#401—471no—
745#401—471no—
746#401—471no—
747#401C2×D4711yescharacteristic
748#400—471no—
749#400—471no—
750#400—471no—
751#400—471no—
752#400—471no—
753#400—471no—
754#400—471no—
755#400—471no—
756#400—471no—
757#400—471no—
758#400—471no—
759#400C2×D4711yescharacteristic
760#397—471no—
761#397—471no—
762#397—471no—
763#397—471no—
764#397—471no—
765#397—471no—
766#397—471no—
767#397—471no—
768#397—471no—
769#397—471no—
770#397C2×D4711yescharacteristic
771#397C2×D4711yescharacteristic
772#396—471no—
773#396—471no—
774#396—471no—
775#396—471no—
776#391—471no—
777#391—471no—
778#391—471no—
779#391—471no—
780#391—471no—
781#391—471no—
782#390—471no—
783#390—471no—
784#390—471no—
785#390—471no—
786#390—471no—
787#390—471no—
788#389—471no—
789#389—471no—
790#389—471no—
791#389—471no—
792#388—471no—
793#388—471no—
794#388—471no—
795#388—471no—
796#388—471no—
797#388—471no—
798#388—471no—
799#388—471no—
800#388—471no—
801#388—471no—
802#388C2×D4711yescharacteristic
803#388C2×D4711yescharacteristic
804#387—471no—
805#387—471no—
806#387—471no—
807#387—471no—
808#387—471no—
809#387—471no—
810#387—471no—
811#387—471no—
812#387—471no—
813#387—471no—
814#387—471no—
815#387C2×D4711yescharacteristic
816#386—471no—
817#386—471no—
818#386—471no—
819#386—471no—
820#386—471no—
821#386—471no—
822#386—471no—
823#386—471no—
824#386—471no—
825#386C2×D4711yescharacteristic
826#386C2×D4711yescharacteristic
827#386C2×D4711yescharacteristic
828#385—471no—
829#385—471no—
830#385—471no—
831#385C2×D4711yescharacteristic
832#384—471no—
833#384—471no—
834#383—471no—
835#383—471no—
836#383—471no—
837#383C2×D4711yescharacteristic
838#382—471no—
839#382—471no—
840#380—471no—
841#380—471no—
842#380—471no—
843#380C2×D4711yescharacteristic
844C4×C4⋊C4—471no—
845C4×C4⋊C4—471no—
846C4×C4⋊C4—471no—
847C4×C4⋊C4—471no—
848C4×C4⋊C4—471no—
849C4×C4⋊C4—471no—
850C4×C4⋊C4—471no—
851C4×C4⋊C4—471no—
852C4×C4⋊C4—471no—
853C4×C4⋊C4—471no—
854C4×C4⋊C4—471no—
855C4×C4⋊C4—471no—
856C4×C4⋊C4—471no—
857C4×C4⋊C4—471no—
858C4×C4⋊C4—471no—
859C4×C4⋊C4—471no—
860C4×C4⋊C4—471no—
861C4×C4⋊C4—471no—
862C4×C4⋊C4—471no—
863C4×C4⋊C4—471no—
864C4×C22⋊C4—471no—
865C4×C22⋊C4—471no—
866C4×C22⋊C4—471no—
867C4×C22⋊C4—471no—
868C4×C22⋊C4—471no—
869C4×C22⋊C4—471no—
870C4×C22⋊C4—471no—
871C4×C22⋊C4—471no—
872C4×C22⋊C4—471no—
873C4×C22⋊C4—471no—
874C4×C22⋊C4—471no—
875C4×C22⋊C4—471no—
876C4×C22⋊C4—471no—
877C4×C22⋊C4—471no—
878C4×C22⋊C4—471no—
879C4×C22⋊C4C2×D4711yescharacteristic
880#376—471no—
881#376—471no—
882C2×#95—471no—
883C2×#95C2×D4711yescharacteristic
884C43—471no—
885C43—471no—
886C47#3481611yescharacteristic, complemented, Sylow
887C2×#41—944no—
888C2×#41—944no—
889C2×#41—944no—
890C22×Q8—471no—
891C22×D4—471no—
892C22×D4—471no—
893C22×D4C22×D4711yescharacteristic
894C23×C4—471no—
895C23×C4—471no—
896C23×C4—471no—
897C23×C4—471no—
898C23×C4—471no—
899C23×C4—471no—
900C23×C4C22×D4711yescharacteristic
901C23×C4C22×D4711yescharacteristic
902C23×C4C22×D4711yescharacteristic
903#126—944no—
904#126—944no—
905#126—944no—
906#126—944no—
907#117—944no—
908#117—944no—
909#117—944no—
910C2×C4⋊C4—471no—
911C2×C4⋊C4—471no—
912C2×C4⋊C4—471no—
913C2×C4⋊C4—471no—
914C2×C4⋊C4—471no—
915C2×C4⋊C4—471no—
916C2×C4⋊C4—471no—
917C2×C4⋊C4—471no—
918C2×C4⋊C4—471no—
919C2×C4⋊C4—471no—
920C2×C4⋊C4—471no—
921C2×C4⋊C4—471no—
922C2×C4⋊C4—471no—
923C2×C4⋊C4—471no—
924C2×C4⋊C4—471no—
925C2×C4⋊C4—471no—
926C2×C4⋊C4—471no—
927C2×C4⋊C4—471no—
928C2×C4⋊C4—471no—
929C2×C4⋊C4—471no—
930C2×C4⋊C4—471no—
931C2×C4⋊C4—471no—
932C2×C4⋊C4—471no—
933C2×C4⋊C4—471no—
934C2×C4⋊C4—471no—
935C2×C4⋊C4—471no—
936C2×C4⋊C4—944no—
937C2×C4⋊C4—944no—
938C2×C4⋊C4C22×D4711yescharacteristic
939C2×C4⋊C4C22×D4711yescharacteristic
940C2×C4⋊C4C22×D4711yescharacteristic
941C2×C4⋊C4C22×D4711yescharacteristic
942C2×C22⋊C4—471no—
943C2×C22⋊C4—471no—
944C2×C22⋊C4—471no—
945C2×C22⋊C4—471no—
946C2×C22⋊C4—471no—
947C2×C22⋊C4—471no—
948C2×C22⋊C4—471no—
949C2×C22⋊C4—471no—
950C2×C22⋊C4—471no—
951C2×C22⋊C4—471no—
952C2×C22⋊C4—471no—
953C2×C22⋊C4—471no—
954C2×C22⋊C4—471no—
955C2×C22⋊C4—471no—
956C2×C22⋊C4—471no—
957C2×C22⋊C4—471no—
958C2×C22⋊C4—471no—
959C2×C22⋊C4—471no—
960C2×C22⋊C4—471no—
961C2×C22⋊C4—471no—
962C2×C22⋊C4—471no—
963C2×C22⋊C4C22×D4711yescharacteristic
964C2×C22⋊C4C22×D4711yescharacteristic
965C2×C22⋊C4C22×D4711yescharacteristic
966C2×C22⋊C4C22×D4711yescharacteristic
967C2×C22⋊C4C22×D4711yescharacteristic
968C2×C22⋊C4C22×D4711yescharacteristic
969C2×C22⋊C4C22×D4711yescharacteristic
970C2×C22⋊C4C22×D4711yescharacteristic
971C2×C22⋊C4C22×D4711yescharacteristic
972C2×C42—471no—
973C2×C42—471no—
974C2×C42—471no—
975C2×C42—471no—
976C2×C42—471no—
977C2×C42—471no—
978C2×C42—471no—
979C2×C42—471no—
980C2×C42—471no—
981C2×C42—471no—
982C2×C42—471no—
983C2×C42—471no—
984C2×C42—471no—
985C2×C42—471no—
986C2×C42—471no—
987C2×C42—471no—
988C2×C42—471no—
989C2×C42—471no—
990C2×C42—471no—
991C2×C42—471no—
992C2×C42—471no—
993C2×C42—471no—
994C2×C42—471no—
995C2×C42—471no—
996C2×C42—944no—
997C2×C42—944no—
998C2×C42—944no—
999C2×C42C22×D4711yescharacteristic
1000C2×C42C22×D4711yescharacteristic
1001#95—471no—
1002#95—471no—
1003#95—471no—
1004#95—471no—
1005#95—471no—
1006#95—471no—
1007#95—471no—
1008#95—471no—
1009#95—471no—
1010#95—471no—
1011#95—471no—
1012#95—471no—
1013#95—471no—
1014#95—471no—
1015#95—471no—
1016#95—471no—
1017#95—471no—
1018#95—471no—
1019#95—471no—
1020#95—471no—
1021#95—471no—
1022#95—471no—
1023#95—471no—
1024#95—471no—
1025#95—471no—
1026#95—471no—
1027#95—471no—
1028#95—471no—
1029#95—471no—
1030#95—471no—
1031#95—471no—
1032#95—471no—
1033#95—471no—
1034#95—471no—
1035#95—471no—
1036#95—471no—
1037#95—471no—
1038#95—471no—
1039#95—471no—
1040#95—471no—
1041#95C22×D4711yescharacteristic
1042#95C22×D4711yescharacteristic
1043#95C22×D4711yescharacteristic
1044#95C22×D4711yescharacteristic
1045#95C22×D4711yescharacteristic
1046#95C22×D4711yescharacteristic
1047#95C22×D4711yescharacteristic
1048#95C22×D4711yescharacteristic
1049#95C22×D4711yescharacteristic
1050#95C22×D4711yescharacteristic
1051#95C22×D4711yescharacteristic
1052#95C22×D4711yescharacteristic
1053#95C22×D4711yescharacteristic
1054#95C22×D4711yescharacteristic
1055#95C22×D4711yescharacteristic
1056#95C22×D4711yescharacteristic
1057C24—471no—
1058C24C23×D4711yescharacteristic
1059C24C23×D4711yescharacteristic
1060#41—18816no—
1061C2×Q8—942no—
1062C2×Q8—942no—
1063C2×Q8—942no—
1064C2×D4—22no—
1065C2×D4—22no—
1066C2×D4—22no—
1067C2×D4—942no—
1068C2×D4—942no—
1069C2×D4—942no—
1070C2×D4—942no—
1071C2×D4—942no—
1072C2×D4—942no—
1073C22×C4—22no—
1074C22×C4—22no—
1075C22×C4—22no—
1076C22×C4—22no—
1077C22×C4—22no—
1078C22×C4—41no—
1079C22×C4—41no—
1080C22×C4—41no—
1081C22×C4—41no—
1082C22×C4—474no—
1083C22×C4—474no—
1084C22×C4—474no—
1085C22×C4—471no—
1086C22×C4—471no—
1087C22×C4—471no—
1088C22×C4—471no—
1089C22×C4—471no—
1090C22×C4—471no—
1091C22×C4—471no—
1092C22×C4—471no—
1093C22×C4—471no—
1094C22×C4—471no—
1095C22×C4—471no—
1096C22×C4—471no—
1097C22×C4—471no—
1098C22×C4—471no—
1099C22×C4—471no—
1100C22×C4—942no—
1101C22×C4—942no—
1102C22×C4—942no—
1103C22×C4—942no—
1104C22×C4—942no—
1105C22×C4—942no—
1106C22×C4—942no—
1107C22×C4—942no—
1108C22×C4—942no—
1109C22×C4—942no—
1110C22×C4—942no—
1111C22×C4—942no—
1112C22×C4—942no—
1113C22×C4—1881no—
1114C22×C4—1881no—
1115C22×C4C23×D4711yescharacteristic
1116C22×C4C23×D4711yescharacteristic
1117C22×C4C23×D4711yescharacteristic
1118C22×C4C23×D4711yescharacteristic
1119C22×C4C23×D4711yescharacteristic
1120C22×C4C23×D4711yescharacteristic
1121C22×C4C23×D4711yescharacteristic
1122C22×C4C23×D4711yescharacteristic
1123C22×C4C23×D4711yescharacteristic
1124C22×C4C23×D4711yescharacteristic
1125C22×C4C23×D4711yescharacteristic
1126C22×C4C23×D4711yescharacteristic
1127C22×C4C23×D4711yescharacteristic
1128C4⋊C4—22no—
1129C4⋊C4—41no—
1130C4⋊C4—41no—
1131C4⋊C4—41no—
1132C4⋊C4—474no—
1133C4⋊C4—474no—
1134C4⋊C4—942no—
1135C4⋊C4—942no—
1136C4⋊C4—942no—
1137C4⋊C4—942no—
1138C4⋊C4—942no—
1139C4⋊C4—942no—
1140C4⋊C4—942no—
1141C4⋊C4—942no—
1142C4⋊C4—942no—
1143C4⋊C4—942no—
1144C4⋊C4—942no—
1145C4⋊C4—942no—
1146C4⋊C4—942no—
1147C4⋊C4—942no—
1148C4⋊C4—942no—
1149C4⋊C4—942no—
1150C4⋊C4—942no—
1151C4⋊C4—942no—
1152C4⋊C4—942no—
1153C4⋊C4—1881no—
1154C4⋊C4—1881no—
1155C4⋊C4—1881no—
1156C4⋊C4—1881no—
1157C4⋊C4—1881no—
1158C22⋊C4—22no—
1159C22⋊C4—22no—
1160C22⋊C4—22no—
1161C22⋊C4—22no—
1162C22⋊C4—22no—
1163C22⋊C4—41no—
1164C22⋊C4—41no—
1165C22⋊C4—41no—
1166C22⋊C4—41no—
1167C22⋊C4—942no—
1168C22⋊C4—942no—
1169C22⋊C4—942no—
1170C22⋊C4—942no—
1171C22⋊C4—942no—
1172C22⋊C4—942no—
1173C22⋊C4—942no—
1174C22⋊C4—942no—
1175C22⋊C4—942no—
1176C22⋊C4—942no—
1177C22⋊C4—942no—
1178C22⋊C4—942no—
1179C22⋊C4—942no—
1180C22⋊C4—1881no—
1181C22⋊C4—1881no—
1182C22⋊C4—1881no—
1183C22⋊C4—1881no—
1184C22⋊C4—1881no—
1185C22⋊C4—1881no—
1186C22⋊C4—1881no—
1187C22⋊C4—1881no—
1188C42—22no—
1189C42—41no—
1190C42—942no—
1191C42—942no—
1192C42—942no—
1193C42—942no—
1194C42—942no—
1195C42—942no—
1196C42—942no—
1197C42—942no—
1198C42—942no—
1199C42—942no—
1200C42—942no—
1201C42—942no—
1202C42—942no—
1203C42—942no—
1204C42—942no—
1205C42—942no—
1206C42—942no—
1207C42—942no—
1208C42—942no—
1209C42—942no—
1210C42—942no—
1211C42—1881no—
1212C42—1881no—
1213C42—1881no—
1214C23—21no—
1215C23—21no—
1216C23—21no—
1217C23—21no—
1218C23—21no—
1219C23—21no—
1220C23—21no—
1221C23—21no—
1222C23—21no—
1223C23—21no—
1224C23—21no—
1225C23—941no—
1226C23—941no—
1227C23—941no—
1228C23—941no—
1229C23—941no—
1230C23—941no—
1231C23—941no—
1232C23#41×D4712yes—
1233C23#41×D4712yes—
1234C23#41×D4712yes—
1235C23C24×D4711yescharacteristic
1236Q8—1884no—
1237D4—44no—
1238D4—1884no—
1239D4—1884no—
1240C2×C4—21no—
1241C2×C4—21no—
1242C2×C4—21no—
1243C2×C4—21no—
1244C2×C4—21no—
1245C2×C4—21no—
1246C2×C4—21no—
1247C2×C4—21no—
1248C2×C4—21no—
1249C2×C4—21no—
1250C2×C4—21no—
1251C2×C4—21no—
1252C2×C4—21no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—21no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—21no—
1264C2×C4—21no—
1265C2×C4—21no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—44no—
1278C2×C4—44no—
1279C2×C4—44no—
1280C2×C4—4716no—
1281C2×C4—472no—
1282C2×C4—472no—
1283C2×C4—472no—
1284C2×C4—472no—
1285C2×C4—472no—
1286C2×C4—472no—
1287C2×C4—472no—
1288C2×C4—472no—
1289C2×C4—472no—
1290C2×C4—472no—
1291C2×C4—948no—
1292C2×C4—941no—
1293C2×C4—941no—
1294C2×C4—941no—
1295C2×C4—941no—
1296C2×C4—941no—
1297C2×C4—941no—
1298C2×C4—941no—
1299C2×C4—941no—
1300C2×C4—941no—
1301C2×C4—941no—
1302C2×C4—941no—
1303C2×C4—941no—
1304C2×C4—941no—
1305C2×C4—941no—
1306C2×C4—941no—
1307C2×C4—941no—
1308C2×C4—941no—
1309C2×C4—941no—
1310C2×C4—941no—
1311C2×C4—941no—
1312C2×C4—941no—
1313C2×C4—941no—
1314C2×C4—941no—
1315C2×C4—941no—
1316C2×C4—941no—
1317C2×C4—941no—
1318C2×C4—941no—
1319C2×C4—941no—
1320C2×C4—941no—
1321C2×C4—941no—
1322C2×C4—941no—
1323C2×C4—941no—
1324C2×C4—941no—
1325C2×C4—941no—
1326C2×C4—941no—
1327C2×C4—1884no—
1328C2×C4—1884no—
1329C2×C4—1884no—
1330C2×C4—1884no—
1331C2×C4#41×D4712yes—
1332C2×C4#41×D4712yes—
1333C22—22no—
1334C22—22no—
1335C22—22no—
1336C22—22no—
1337C22—22no—
1338C22—22no—
1339C22—41no—
1340C22—41no—
1341C22—41no—
1342C22—41no—
1343C22—41no—
1344C22—41no—
1345C22—41no—
1346C22—1881no—
1347C22—1881no—
1348C22—1881no—
1349C22—1881no—
1350C22—1881no—
1351C22—1881no—
1352C22—1881no—
1353C22#126×D4714yes—
1354C22C2×#41×D4711yescharacteristic
1355C22C2×#41×D4711yescharacteristic
1356C22C2×#41×D4711yescharacteristic
1357C22C2×#41×D4711yescharacteristic
1358C22C2×#41×D4711yescharacteristic
1359C22#1568995811yescharacteristic
1360C22#1568995811yescharacteristic
1361C4—22no—
1362C4—22no—
1363C4—41no—
1364C4—41no—
1365C4—41no—
1366C4—41no—
1367C4—41no—
1368C4—41no—
1369C4—41no—
1370C4—41no—
1371C4—41no—
1372C4—41no—
1373C4—41no—
1374C4—474no—
1375C4—474no—
1376C4—942no—
1377C4—942no—
1378C4—942no—
1379C4—942no—
1380C4—1881no—
1381C4—1881no—
1382C4—1881no—
1383C4—1881no—
1384C4—1881no—
1385C4—1881no—
1386C4—1881no—
1387C4—1881no—
1388C4—1881no—
1389C2—24no—
1390C2—81no—
1391C2—3761no—
1392C2C2×#126×D4711yescharacteristic
1393C2#2025668211yescharacteristic
1394C2#2025677011yescharacteristic
1395C2#2025694311yescharacteristic
1396C2#2025694311yescharacteristic
1397C2#2025698211yescharacteristic
1398C2#2025698211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2510C2
prime radicalC22×#10625352C22
hypercenter#2510D47
hypocenterC47#34816
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2510

Complements

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

NH ≅ G/Ntype
1. #20247995C2semidirect
2. #20247989C2semidirect
3. #20247984C2semidirect
4. #20247978C2semidirect
5. #20247971C2semidirect
6. #20247969C2semidirect
7. #20247960C2semidirect
8. #20247958C2semidirect
9. #20247954C2semidirect
10. #20247948C2semidirect
11. #20247946C2semidirect
12. #20247656C2semidirect
13. #20247654C2semidirect
14. #20247651C2semidirect
15. #20247649C2semidirect
16. #20246691C2semidirect
17. #20246687C2semidirect
18. #20246685C2semidirect
19. #20246685C2semidirect
20. #20245942C2semidirect
21. #20245942C2semidirect
22. #20245938C2semidirect
23. #20245936C2semidirect
27. #20245867C2semidirect
28. #20245790C2semidirect
29. C4×#13093980C2semidirect
30. C2×#15688974C2semidirect
31. C47×#2510C2semidirect
488. Dic47⋊C4#41semidirect
489. Dic47⋊C4#41semidirect
620. C2×Dic47#126semidirect
701. #2510D47semidirect
886. C47#34816semidirect

Maximal subgroups

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

subgroupindex
#202479952
#202479892
#202479842
#202479782
#202479712
#202479692
#202479602
#202479582
#202479542
#202479482
#202479462
#202476562
#202476542
#202476512
#202476492
#202466912
#202466872
#202466852
#202459422
#202459382
#202459362
#202458732
#202458672
#202457902
C4×#130939802
C2×#156889742
C47×#25102
#3481647