Finite Group Databasebeta

← D47×#2473 #26383864

Subgroups — D47×#2473 #26383864

Order 12032.

2942 conjugacy classes of subgroups.

The subgroup lattice has 1590 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#125×D47C211yesmaximal, characteristic, complemented
2C22×C4⋊C4×D47C211yesmaximal, characteristic
3#20247536C211yesmaximal, characteristic, complemented
4#20247535C211yesmaximal, characteristic, complemented
5#20247534C211yesmaximal, characteristic, complemented
6#20247533C211yesmaximal, characteristic, complemented
7#20247532C211yesmaximal, characteristic, complemented
8#20247531C211yesmaximal, characteristic, complemented
9#20247530C211yesmaximal, characteristic, complemented
10#20247529C211yesmaximal, characteristic, complemented
11#20247528C211yesmaximal, characteristic, complemented
12#20247527C211yesmaximal, characteristic, complemented
13#20247526C211yesmaximal, characteristic, complemented
14#20247525C211yesmaximal, characteristic, complemented
15#20247524C211yesmaximal, characteristic, complemented
16#20247523C211yesmaximal, characteristic, complemented
17#20247522C211yesmaximal, characteristic, complemented
18#400×D47C211yesmaximal, characteristic, complemented
19#398×D47C211yesmaximal, characteristic, complemented
20#398×D47C211yesmaximal, characteristic, complemented
21#398×D47C211yesmaximal, characteristic, complemented
22#389×D47C211yesmaximal, characteristic, complemented
23#387×D47C211yesmaximal, characteristic, complemented
24#387×D47C211yesmaximal, characteristic, complemented
25#385×D47C211yesmaximal, characteristic
26#385×D47C211yesmaximal, characteristic
27#385×D47C211yesmaximal, characteristic
28#385×D47C211yesmaximal, characteristic
29#380×D47C211yesmaximal, characteristic
30C4×C22⋊C4×D47C211yesmaximal, characteristic
31C47×#2473C211yesmaximal, characteristic, complemented
32C23×C4×D47C2211yescharacteristic
33C23×C4×D47C2211yescharacteristic
34C23×C4×D47C2211yescharacteristic
35C2×#13094016C2211yescharacteristic, complemented
36C2×#13094015C2211yescharacteristic, complemented
37C2×#13094015C2211yescharacteristic, complemented
38C2×#13094014C2211yescharacteristic, complemented
39C2×#13094014C2211yescharacteristic, complemented
40C2×#13094014C2211yescharacteristic, complemented
41C2×#13094014C2211yescharacteristic, complemented
42#125×D47—28no—
43C22×C4⋊Dic47C2211yescharacteristic
44C22×Dic47⋊C4C2211yescharacteristic
45C22×Dic47⋊C4C2211yescharacteristic
46C2×C4⋊C4×D47—28no—
47C2×C4⋊C4×D47C2211yescharacteristic
48C2×C4⋊C4×D47C2211yescharacteristic
49C2×C4⋊C4×D47C2211yescharacteristic
50C2×C4⋊C4×D47C2211yescharacteristic
51C2×C4⋊C4×D47C2211yescharacteristic
52C2×C4⋊C4×D47C2211yescharacteristic
53C2×C4⋊C4×D47C2211yescharacteristic
54C2×C4⋊C4×D47C2211yescharacteristic
55C2×C4⋊C4×D47C2211yescharacteristic
56C2×C4⋊C4×D47C2211yescharacteristic
57C2×C4⋊C4×D47C2211yescharacteristic
58C2×C4⋊C4×D47C2211yescharacteristic
59C2×C4⋊C4×D47C2211yescharacteristic
60C2×C4⋊C4×D47C2211yescharacteristic
61C2×C4⋊C4×D47C2211yescharacteristic
62C2×C4⋊C4×D47C2211yescharacteristic
63C2×C4⋊C4×D47C2211yescharacteristic
64C2×C4⋊C4×D47C2211yescharacteristic
65C2×C22⋊C4×D47C2211yescharacteristic
66C2×C22⋊C4×D47C2211yescharacteristic
67C2×C22⋊C4×D47C2211yescharacteristic
68C2×C22⋊C4×D47C2211yescharacteristic
69C2×C42×D47C2211yescharacteristic
70C2×C42×D47C2211yescharacteristic
71#15689065C2211yescharacteristic, complemented
72#15689065C2211yescharacteristic, complemented
73#15689064C2211yescharacteristic, complemented
74#15689064C2211yescharacteristic, complemented
75#15689063C2211yescharacteristic, complemented
76#15689062C2211yescharacteristic, complemented
77#15689061C2211yescharacteristic, complemented
78#15689057C2211yescharacteristic, complemented
79#15689057C2211yescharacteristic, complemented
80#15689057C2211yescharacteristic, complemented
81#15689057C2211yescharacteristic, complemented
82#15689057C2211yescharacteristic, complemented
83#15689057C2211yescharacteristic, complemented
84#15689056C2211yescharacteristic, complemented
85#15689056C2211yescharacteristic, complemented
86#15689056C2211yescharacteristic, complemented
87#15689056C2211yescharacteristic, complemented
88#15689056C2211yescharacteristic, complemented
89#15689056C2211yescharacteristic, complemented
90#15689055C2211yescharacteristic, complemented
91#15689055C2211yescharacteristic, complemented
92#15689055C2211yescharacteristic, complemented
93#15689054C2211yescharacteristic, complemented
94#15689054C2211yescharacteristic, complemented
95#15689054C2211yescharacteristic, complemented
96#15689053C2211yescharacteristic, complemented
97#15689053C2211yescharacteristic, complemented
98#15689053C2211yescharacteristic, complemented
99#15689022C2211yescharacteristic, complemented
100#15689021C2211yescharacteristic, complemented
101#15689020C2211yescharacteristic, complemented
102#15689020C2211yescharacteristic, complemented
103#15689019C2211yescharacteristic, complemented
104#15689018C2211yescharacteristic, complemented
105#15689018C2211yescharacteristic, complemented
106#15689010C2211yescharacteristic, complemented
107#15689010C2211yescharacteristic, complemented
108#15689009C2211yescharacteristic, complemented
109#15689009C2211yescharacteristic, complemented
110#15689008C2211yescharacteristic, complemented
111#15689008C2211yescharacteristic, complemented
112#15689007C2211yescharacteristic, complemented
113#15689007C2211yescharacteristic, complemented
114#15689006C2211yescharacteristic, complemented
115#15689006C2211yescharacteristic, complemented
116#15689005C2211yescharacteristic, complemented
117#15689005C2211yescharacteristic, complemented
118#15689004C2211yescharacteristic, complemented
119#15689004C2211yescharacteristic, complemented
120#15688998C2211yescharacteristic
121#15688998C2211yescharacteristic
122#15688998C2211yescharacteristic
123#15688998C2211yescharacteristic
124#15688997C2211yescharacteristic
125#15688997C2211yescharacteristic
126#15688997C2211yescharacteristic
127#15688997C2211yescharacteristic
128#15688997C2211yescharacteristic
129#15688997C2211yescharacteristic
130#15688997C2211yescharacteristic
131#15688997C2211yescharacteristic
132#15688996C2211yescharacteristic
133#15688996C2211yescharacteristic
134#15688996C2211yescharacteristic
135#15688996C2211yescharacteristic
136#15688995C2211yescharacteristic
137#15688995C2211yescharacteristic
138#15688995C2211yescharacteristic
139#15688995C2211yescharacteristic
140#15688994C2211yescharacteristic
141#15688994C2211yescharacteristic
142#15688994C2211yescharacteristic
143#15688994C2211yescharacteristic
144#15688994C2211yescharacteristic
145#15688994C2211yescharacteristic
146#15688994C2211yescharacteristic
147#15688994C2211yescharacteristic
148#15688983C2211yescharacteristic
149#15688982C2211yescharacteristic
150#15688982C2211yescharacteristic
151#15688981C2211yescharacteristic
152#15688981C2211yescharacteristic
153#15688980C2211yescharacteristic
154#15688980C2211yescharacteristic
155C22⋊C4×Dic47C2211yescharacteristic
156C22⋊C4×Dic47C2211yescharacteristic
157C4×(C2×D47)⋊C4C2211yescharacteristic
158C4×(C2×D47)⋊C4C2211yescharacteristic
159C4×C22⋊Dic47C2211yescharacteristic
160#15688970C2211yescharacteristic
161#15688970C2211yescharacteristic
162#95×D47C2211yescharacteristic
163#95×D47C2211yescharacteristic
164#95×D47C2211yescharacteristic
165#95×D47C2211yescharacteristic
166#95×D47C2211yescharacteristic
167#95×D47C2211yescharacteristic
168#95×D47C2211yescharacteristic
169#95×D47C2211yescharacteristic
170#95×D47C2211yescharacteristic
171#95×D47C2211yescharacteristic
172#95×D47C2211yescharacteristic
173#95×D47C2211yescharacteristic
174C2×#125×C47C2211yescharacteristic, complemented
175C22×C4⋊C4×C47C2211yescharacteristic
176C47×#400C2211yescharacteristic, complemented
177C47×#398C2211yescharacteristic, complemented
178C47×#398C2211yescharacteristic, complemented
179C47×#398C2211yescharacteristic, complemented
180C47×#389C2211yescharacteristic, complemented
181C47×#387C2211yescharacteristic, complemented
182C47×#387C2211yescharacteristic, complemented
183C47×#385C2211yescharacteristic
184C47×#385C2211yescharacteristic
185C47×#385C2211yescharacteristic
186C47×#385C2211yescharacteristic
187C47×#380C2211yescharacteristic
188C4×C22⋊C4×C47C2211yescharacteristic
189C24×D47C2311yescharacteristic
190C23×Dic47C2311yescharacteristic
191C23×Dic47C2311yescharacteristic
192C23×Dic47C2311yescharacteristic
193C22×C4×D47—24no—
194C22×C4×D47—24no—
195C22×C4×D47—24no—
196C22×C4×D47—24no—
197C22×C4×D47—24no—
198C22×C4×D47—24no—
199C22×C4×D47—24no—
200C22×C4×D47—42no—
201C22×C4×D47—42no—
202C22×C4×D47C2311yescharacteristic
203C22×C4×D47C2311yescharacteristic
204C22×C4×D47C2311yescharacteristic
205C22×C4×D47C2311yescharacteristic
206C22×C4×D47C2311yescharacteristic
207C22×C4×D47C2311yescharacteristic
208C22×C4×D47C2311yescharacteristic
209C22×C4×D47C2311yescharacteristic
210C22×C4×D47C2311yescharacteristic
211C22×C4×D47C2311yescharacteristic
212C22×C4×D47C2311yescharacteristic
213C22×C4×D47C2311yescharacteristic
214C22×C4×D47C2311yescharacteristic
215C22×C4×D47C2311yescharacteristic
216C22×C4×D47C2311yescharacteristic
217C22×C4×D47C2311yescharacteristic
218C22×C4×D47C2311yescharacteristic
219C22×C4×D47C2311yescharacteristic
220C22×C4×D47C2311yescharacteristic
221C22×C4×D47C2311yescharacteristic
222#13094016—24no—
223#13094015—24no—
224#13094015—24no—
225#13094014—24no—
226#13094014—24no—
227#13094014—24no—
228#13094014—24no—
229C2×C4⋊Dic47—24no—
230C2×C4⋊Dic47C2311yescharacteristic
231C2×C4⋊Dic47C2311yescharacteristic
232C2×C4⋊Dic47C2311yescharacteristic
233C2×C4⋊Dic47C2311yescharacteristic
234C2×C4⋊Dic47C2311yescharacteristic
235C2×C4⋊Dic47C2311yescharacteristic
236C2×C4⋊Dic47C2311yescharacteristic
237C2×C4⋊Dic47C2311yescharacteristic
238C2×C4⋊Dic47C2311yescharacteristic
239C2×C4⋊Dic47C2311yescharacteristic
240C2×C4⋊Dic47C2311yescharacteristic
241C2×C4⋊Dic47C2311yescharacteristic
242C2×C4⋊Dic47C2311yescharacteristic
243C2×C4⋊Dic47C2311yescharacteristic
244C2×Dic47⋊C4—24no—
245C2×Dic47⋊C4—24no—
246C2×Dic47⋊C4C2311yescharacteristic
247C2×Dic47⋊C4C2311yescharacteristic
248C2×Dic47⋊C4C2311yescharacteristic
249C2×Dic47⋊C4C2311yescharacteristic
250C2×Dic47⋊C4C2311yescharacteristic
251C2×Dic47⋊C4C2311yescharacteristic
252C2×Dic47⋊C4C2311yescharacteristic
253C2×Dic47⋊C4C2311yescharacteristic
254C2×Dic47⋊C4C2311yescharacteristic
255C2×Dic47⋊C4C2311yescharacteristic
256C2×Dic47⋊C4C2311yescharacteristic
257C2×Dic47⋊C4C2311yescharacteristic
258C2×Dic47⋊C4C2311yescharacteristic
259C2×Dic47⋊C4C2311yescharacteristic
260C2×Dic47⋊C4C2311yescharacteristic
261C2×Dic47⋊C4C2311yescharacteristic
262C2×Dic47⋊C4C2311yescharacteristic
263C2×Dic47⋊C4C2311yescharacteristic
264C2×Dic47⋊C4C2311yescharacteristic
265C2×Dic47⋊C4C2311yescharacteristic
266C2×Dic47⋊C4C2311yescharacteristic
267C2×Dic47⋊C4C2311yescharacteristic
268C2×Dic47⋊C4C2311yescharacteristic
269C2×Dic47⋊C4C2311yescharacteristic
270C2×Dic47⋊C4C2311yescharacteristic
271C2×Dic47⋊C4C2311yescharacteristic
272C2×Dic47⋊C4C2311yescharacteristic
273C2×Dic47⋊C4C2311yescharacteristic
274C4⋊C4×D47—24no—
275C4⋊C4×D47—24no—
276C4⋊C4×D47—24no—
277C4⋊C4×D47—24no—
278C4⋊C4×D47—24no—
279C4⋊C4×D47—24no—
280C4⋊C4×D47—24no—
281C4⋊C4×D47—24no—
282C4⋊C4×D47—24no—
283C4⋊C4×D47—24no—
284C4⋊C4×D47—24no—
285C4⋊C4×D47—24no—
286C4⋊C4×D47—24no—
287C4⋊C4×D47—24no—
288C4⋊C4×D47—42no—
289C4⋊C4×D47—42no—
290C4⋊C4×D47—42no—
291C4⋊C4×D47D418yes—
292C2×C22⋊Dic47C2311yescharacteristic
293C2×C22⋊Dic47C2311yescharacteristic
294C2×C22⋊Dic47C2311yescharacteristic
295C2×C22⋊Dic47C2311yescharacteristic
296C2×(C2×D47)⋊C4C2311yescharacteristic
297C2×(C2×D47)⋊C4C2311yescharacteristic
298C2×(C2×D47)⋊C4C2311yescharacteristic
299C2×(C2×D47)⋊C4C2311yescharacteristic
300C2×(C2×D47)⋊C4C2311yescharacteristic
301C2×(C2×D47)⋊C4C2311yescharacteristic
302C2×(C2×D47)⋊C4C2311yescharacteristic
303C2×(C2×D47)⋊C4C2311yescharacteristic
304C22⋊C4×D47—24no—
305C22⋊C4×D47—24no—
306C22⋊C4×D47—24no—
307C22⋊C4×D47Q818yes—
308C2×C4×Dic47C2311yescharacteristic
309C2×C4×Dic47C2311yescharacteristic
310C2×C4×Dic47C2311yescharacteristic
311C2×C4×Dic47C2311yescharacteristic
312C2×C4×Dic47C2311yescharacteristic
313C2×C4×Dic47C2311yescharacteristic
314C42×D47—24no—
315C42×D47—42no—
316C47⋊#95C2311yescharacteristic
317C47⋊#95C2311yescharacteristic
318C47⋊#95C2311yescharacteristic
319C47⋊#95C2311yescharacteristic
320C47⋊#95C2311yescharacteristic
321C47⋊#95C2311yescharacteristic
322C47⋊#95C2311yescharacteristic
323C47⋊#95C2311yescharacteristic
324C47⋊#95C2311yescharacteristic
325C47⋊#95C2311yescharacteristic
326C47⋊#95C2311yescharacteristic
327C47⋊#95C2311yescharacteristic
328C47⋊#95C2311yescharacteristic
329C47⋊#95C2311yescharacteristic
330C47⋊#95C2311yescharacteristic
331C47⋊#95C2311yescharacteristic
332C47⋊#95C2311yescharacteristic
333C47⋊#95C2311yescharacteristic
334C47⋊#95C2311yescharacteristic
335C47⋊#95C2311yescharacteristic
336C47⋊#95C2311yescharacteristic
337C47⋊#95C2311yescharacteristic
338C47⋊#95C2311yescharacteristic
339C47⋊#95C2311yescharacteristic
340C47⋊#95C2311yescharacteristic
341C47⋊#95C2311yescharacteristic
342C47⋊#95C2311yescharacteristic
343C47⋊#95C2311yescharacteristic
344C47⋊#95C2311yescharacteristic
345C47⋊#95C2311yescharacteristic
346C47⋊#95C2311yescharacteristic
347C47⋊#95C2311yescharacteristic
348C47⋊#95C2311yescharacteristic
349C47⋊#95C2311yescharacteristic
350C47⋊#95C2311yescharacteristic
351C47⋊#95C2311yescharacteristic
352C23×C4×C47C2311yescharacteristic
353C23×C4×C47C2311yescharacteristic
354C23×C4×C47C2311yescharacteristic
355#125×C47—24no—
356C2×C4⋊C4×C47—24no—
357C2×C4⋊C4×C47C2311yescharacteristic
358C2×C4⋊C4×C47C2311yescharacteristic
359C2×C4⋊C4×C47C2311yescharacteristic
360C2×C4⋊C4×C47C2311yescharacteristic
361C2×C4⋊C4×C47C2311yescharacteristic
362C2×C4⋊C4×C47C2311yescharacteristic
363C2×C4⋊C4×C47C2311yescharacteristic
364C2×C4⋊C4×C47C2311yescharacteristic
365C2×C4⋊C4×C47C2311yescharacteristic
366C2×C4⋊C4×C47C2311yescharacteristic
367C2×C4⋊C4×C47C2311yescharacteristic
368C2×C4⋊C4×C47C2311yescharacteristic
369C2×C4⋊C4×C47C2311yescharacteristic
370C2×C4⋊C4×C47C2311yescharacteristic
371C2×C22⋊C4×C47C2311yescharacteristic
372C2×C22⋊C4×C47C2311yescharacteristic
373C2×C22⋊C4×C47C2311yescharacteristic
374C2×C22⋊C4×C47C2311yescharacteristic
375C2×C42×C47C2311yescharacteristic
376C2×C42×C47C2311yescharacteristic
377#95×C47C2311yescharacteristic
378#95×C47C2311yescharacteristic
379#95×C47C2311yescharacteristic
380#95×C47C2311yescharacteristic
381#95×C47C2311yescharacteristic
382#95×C47C2311yescharacteristic
383#95×C47C2311yescharacteristic
384#95×C47C2311yescharacteristic
385#95×C47C2311yescharacteristic
386#95×C47C2311yescharacteristic
387#95×C47C2311yescharacteristic
388#95×C47C2311yescharacteristic
389C24×C47C2411yescharacteristic
390C23×D47—22no—
391C23×D47—22no—
392C23×D47—22no—
393C23×D47—22no—
394C23×D47C2×Q814yes—
395C23×D47#4114yes—
396C23×D47#4114yes—
397C23×D47C2411yescharacteristic
398C23×D47C2411yescharacteristic
399C22×C4×C47—22no—
400C22×C4×C47—22no—
401C22×C4×C47—22no—
402C22×C4×C47—22no—
403C22×C4×C47—22no—
404C22×C4×C47—22no—
405C22×C4×C47—22no—
406C22×C4×C47—41no—
407C22×C4×C47—41no—
408C22×C4×C47C2411yescharacteristic
409C22×C4×C47C2411yescharacteristic
410C22×C4×C47C2411yescharacteristic
411C22×C4×C47C2411yescharacteristic
412C22×C4×C47C2411yescharacteristic
413C22×C4×C47C2411yescharacteristic
414C22×C4×C47C2411yescharacteristic
415C22×C4×C47C2411yescharacteristic
416C22×C4×C47C2411yescharacteristic
417C22×C4×C47C2411yescharacteristic
418C22×C4×C47C2411yescharacteristic
419C22×C4×C47C2411yescharacteristic
420C22×C4×C47C2411yescharacteristic
421C22×C4×C47C2411yescharacteristic
422C22×Dic47—22no—
423C22×Dic47—22no—
424C22×Dic47—22no—
425C22×Dic47—22no—
426C22×Dic47—22no—
427C22×Dic47—22no—
428C22×Dic47—22no—
429C22×Dic47—41no—
430C22×Dic47—41no—
431C22×Dic47C2411yescharacteristic
432C22×Dic47C2411yescharacteristic
433C22×Dic47C2411yescharacteristic
434C22×Dic47C2411yescharacteristic
435C22×Dic47C2411yescharacteristic
436C22×Dic47C2411yescharacteristic
437C22×Dic47C2411yescharacteristic
438C22×Dic47C2411yescharacteristic
439C22×Dic47C2411yescharacteristic
440C22×Dic47C2411yescharacteristic
441C22×Dic47C2411yescharacteristic
442C22×Dic47C2411yescharacteristic
443C22×Dic47C2411yescharacteristic
444C22×Dic47C2411yescharacteristic
445C2×C4×D47—232no—
446C2×C4×D47—22no—
447C2×C4×D47—22no—
448C2×C4×D47—22no—
449C2×C4×D47—22no—
450C2×C4×D47—22no—
451C2×C4×D47—22no—
452C2×C4×D47—22no—
453C2×C4×D47—22no—
454C2×C4×D47—22no—
455C2×C4×D47—22no—
456C2×C4×D47—22no—
457C2×C4×D47—22no—
458C2×C4×D47—22no—
459C2×C4×D47—22no—
460C2×C4×D47—22no—
461C2×C4×D47—22no—
462C2×C4×D47—22no—
463C2×C4×D47—22no—
464C2×C4×D47—22no—
465C2×C4×D47—22no—
466C2×C4×D47—22no—
467C2×C4×D47—22no—
468C2×C4×D47—22no—
469C2×C4×D47—22no—
470C2×C4×D47—22no—
471C2×C4×D47—22no—
472C2×C4×D47—22no—
473C2×C4×D47—22no—
474C2×C4×D47—22no—
475C2×C4×D47—22no—
476C2×C4×D47—22no—
477C2×C4×D47—22no—
478C2×C4×D47—22no—
479C2×C4×D47—22no—
480C2×C4×D47—22no—
481C2×C4×D47—22no—
482C2×C4×D47—22no—
483C2×C4×D47—22no—
484C2×C4×D47—22no—
485C2×C4×D47—22no—
486C2×C4×D47—22no—
487C2×C4×D47—22no—
488C2×C4×D47—22no—
489C2×C4×D47—22no—
490C2×C4×D47—22no—
491C2×C4×D47—22no—
492C2×C4×D47—22no—
493C2×C4×D47—22no—
494C2×C4×D47—22no—
495C2×C4×D47—22no—
496C2×C4×D47—416no—
497C2×C4×D47—416no—
498C2×C4×D47—41no—
499C2×C4×D47—41no—
500C2×C4×D47—41no—
501C2×C4×D47—41no—
502C2×C4×D47C2×D414yes—
503C2×C4×D47C2×D414yes—
504C2×C4×D47C2×D414yes—
505C2×C4×D47C2×Q814yes—
506C2×C4×D47C2×Q814yes—
507C2×C4×D47#4114yes—
508C4⋊C4×C47—22no—
509C4⋊C4×C47—22no—
510C4⋊C4×C47—22no—
511C4⋊C4×C47—22no—
512C4⋊C4×C47—22no—
513C4⋊C4×C47—22no—
514C4⋊C4×C47—22no—
515C4⋊C4×C47—22no—
516C4⋊C4×C47—22no—
517C4⋊C4×C47—22no—
518C4⋊C4×C47—41no—
519C4⋊C4×C47—41no—
520C4⋊C4×C47—41no—
521C4⋊C4×C47C2×D414yes—
522C22⋊C4×C47—22no—
523C22⋊C4×C47—22no—
524C22⋊C4×C47—22no—
525C22⋊C4×C47C2×Q814yes—
526C42×C47—22no—
527C42×C47—41no—
528C22⋊Dic47—22no—
529C22⋊Dic47—22no—
530C22⋊Dic47—22no—
531C22⋊Dic47C2×Q814yes—
532(C2×D47)⋊C4—22no—
533(C2×D47)⋊C4—22no—
534(C2×D47)⋊C4—22no—
535(C2×D47)⋊C4—22no—
536(C2×D47)⋊C4—22no—
537(C2×D47)⋊C4—22no—
538(C2×D47)⋊C4C2×Q814yes—
539(C2×D47)⋊C4C2×Q814yes—
540C4⋊Dic47—22no—
541C4⋊Dic47—22no—
542C4⋊Dic47—22no—
543C4⋊Dic47—22no—
544C4⋊Dic47—22no—
545C4⋊Dic47—22no—
546C4⋊Dic47—22no—
547C4⋊Dic47—22no—
548C4⋊Dic47—22no—
549C4⋊Dic47—22no—
550C4⋊Dic47—41no—
551C4⋊Dic47—41no—
552C4⋊Dic47—41no—
553C4⋊Dic47C2×D414yes—
554Dic47⋊C4—22no—
555Dic47⋊C4—22no—
556Dic47⋊C4—22no—
557Dic47⋊C4—22no—
558Dic47⋊C4—22no—
559Dic47⋊C4—22no—
560Dic47⋊C4—22no—
561Dic47⋊C4—22no—
562Dic47⋊C4—22no—
563Dic47⋊C4—22no—
564Dic47⋊C4—22no—
565Dic47⋊C4—22no—
566Dic47⋊C4—22no—
567Dic47⋊C4—22no—
568Dic47⋊C4—22no—
569Dic47⋊C4—22no—
570Dic47⋊C4—22no—
571Dic47⋊C4—22no—
572Dic47⋊C4—22no—
573Dic47⋊C4—22no—
574Dic47⋊C4—41no—
575Dic47⋊C4—41no—
576Dic47⋊C4—41no—
577Dic47⋊C4—41no—
578Dic47⋊C4—41no—
579Dic47⋊C4—41no—
580Dic47⋊C4C2×D414yes—
581Dic47⋊C4C2×D414yes—
582C4×Dic47—22no—
583C4×Dic47—22no—
584C4×Dic47—22no—
585C4×Dic47—41no—
586C4×Dic47—41no—
587C4×Dic47—41no—
588C23×C47—21no—
589C23×C47—21no—
590C23×C47—21no—
591C23×C47—21no—
592C23×C47C22×Q812yes—
593C23×C47C2×#4112yes—
594C23×C47C2×#4112yes—
595C23×C47C2511yescharacteristic
596C22×D47—21no—
597C22×D47—21no—
598C22×D47—21no—
599C22×D47—21no—
600C22×D47—28no—
601C22×D47—28no—
602C22×D47—28no—
603C22×D47—28no—
604C22×D47—28no—
605C22×D47—28no—
606C22×D47#125116yescomplemented
607C22×D47C22×D412yes—
608C22×D47C22×Q812yes—
609C22×D47C22×Q812yes—
610C22×D47C2×#4112yes—
611C22×D47C2×#4112yes—
612C22×D47C2×#4112yes—
613C22×D47C2×#4112yes—
614C22×D47C2×#4112yes—
615C22×D47H(5,𝔽2)12yes—
616C22×D472−1+412yes—
617C2×C4×C47—28no—
618C2×C4×C47—21no—
619C2×C4×C47—21no—
620C2×C4×C47—21no—
621C2×C4×C47—21no—
622C2×C4×C47—21no—
623C2×C4×C47—21no—
624C2×C4×C47—21no—
625C2×C4×C47—21no—
626C2×C4×C47—21no—
627C2×C4×C47—21no—
628C2×C4×C47—21no—
629C2×C4×C47—21no—
630C2×C4×C47—21no—
631C2×C4×C47—21no—
632C2×C4×C47—21no—
633C2×C4×C47—21no—
634C2×C4×C47—21no—
635C2×C4×C47—21no—
636C2×C4×C47—21no—
637C2×C4×C47—21no—
638C2×C4×C47—21no—
639C2×C4×C47—21no—
640C2×C4×C47—21no—
641C2×C4×C47—21no—
642C2×C4×C47—21no—
643C2×C4×C47—21no—
644C2×C4×C47—21no—
645C2×C4×C47—21no—
646C2×C4×C47—21no—
647C2×C4×C47—21no—
648C2×C4×C47—21no—
649C2×C4×C47—21no—
650C2×C4×C47—21no—
651C2×C4×C47—21no—
652C2×C4×C47—21no—
653C2×C4×C47—21no—
654C2×C4×C47—44no—
655C2×C4×C47—44no—
656C2×C4×C47C22×D412yes—
657C2×C4×C47C22×D412yes—
658C2×C4×C47C22×D412yes—
659C2×C4×C47C22×Q812yes—
660C2×C4×C47C22×Q812yes—
661C2×C4×C47C2×#4112yes—
662C2×Dic47—28no—
663C2×Dic47—21no—
664C2×Dic47—21no—
665C2×Dic47—21no—
666C2×Dic47—21no—
667C2×Dic47—21no—
668C2×Dic47—21no—
669C2×Dic47—21no—
670C2×Dic47—21no—
671C2×Dic47—21no—
672C2×Dic47—21no—
673C2×Dic47—21no—
674C2×Dic47—21no—
675C2×Dic47—21no—
676C2×Dic47—21no—
677C2×Dic47—21no—
678C2×Dic47—21no—
679C2×Dic47—21no—
680C2×Dic47—21no—
681C2×Dic47—21no—
682C2×Dic47—21no—
683C2×Dic47—21no—
684C2×Dic47—21no—
685C2×Dic47—21no—
686C2×Dic47—21no—
687C2×Dic47—21no—
688C2×Dic47—21no—
689C2×Dic47—21no—
690C2×Dic47—21no—
691C2×Dic47—21no—
692C2×Dic47—21no—
693C2×Dic47—21no—
694C2×Dic47—21no—
695C2×Dic47—21no—
696C2×Dic47—21no—
697C2×Dic47—21no—
698C2×Dic47—21no—
699C2×Dic47—44no—
700C2×Dic47—44no—
701C2×Dic47C22×D412yes—
702C2×Dic47C22×D412yes—
703C2×Dic47C22×D412yes—
704C2×Dic47C22×Q812yes—
705C2×Dic47C22×Q812yes—
706C2×Dic47C2×#4112yes—
707C4×D47—28no—
708C4×D47—28no—
709C4×D47—28no—
710C4×D47—28no—
711C4×D47—28no—
712C4×D47—28no—
713C4×D47—28no—
714C4×D47—28no—
715C4×D47—44no—
716C4×D47—44no—
717C4×D47—44no—
718C4×D47—44no—
719C4×D47—44no—
720C4×D47—44no—
721C4×D47—44no—
722C4×D47—44no—
723C4×D47—44no—
724C4×D47—44no—
725C4×D47—44no—
726C4×D47—44no—
727C2×#2473—471nomaximal, Sylow
728C22×C47—22no—
729C22×C47—22no—
730C22×C47—22no—
731C22×C47—22no—
732C22×C47—22no—
733C22×C47—22no—
734C22×C47C2×#12514yescomplemented
735C22×C47C23×D411yescharacteristic
736C22×C47C23×Q811yescharacteristic
737C22×C47C22×#4111yescharacteristic
738C22×C47C22×#4111yescharacteristic
739C22×C47C22×#4111yescharacteristic
740C22×C47C2×H(5,𝔽2)11yescharacteristic
741C22×C47C2×2−1+411yescharacteristic
742C2×D47—22no—
743C2×D47—22no—
744C2×D47—22no—
745C2×D47—22no—
746C2×D47—22no—
747C2×D47—22no—
748C2×D47—232no—
749C2×D47#52514yes—
750C2×D47C2×#12514yes—
751C2×D47C2×#12514yescomplemented
752C2×D47#53914yes—
753C2×D47#54614yes—
754C2×D47D4×Q814yes—
755C2×D47#55214yes—
756C2×D47#55414yes—
757C4×C47—22no—
758C4×C47—22no—
759C4×C47—22no—
760C4×C47—22no—
761C4×C47—22no—
762C4×C47—22no—
763C4×C47—41no—
764C4×C47—41no—
765C4×C47—41no—
766C4×C47—41no—
767C4×C47—41no—
768C4×C47—41no—
769C4×C47—41no—
770C4×C47—41no—
771Dic47—22no—
772Dic47—22no—
773Dic47—22no—
774Dic47—22no—
775Dic47—22no—
776Dic47—22no—
777Dic47—41no—
778Dic47—41no—
779Dic47—41no—
780Dic47—41no—
781Dic47—41no—
782Dic47—41no—
783Dic47—41no—
784Dic47—41no—
785C22×#125—471no—
786C23×C4⋊C4—471no—
787#2473—471no—
788#2473—471no—
789#2473—471no—
790#2473—471no—
791#2473—471no—
792#2473—471no—
793#2473—471no—
794#2473—471no—
795#2473—471no—
796#2473—471no—
797#2473—471no—
798#2473—471no—
799#2473—471no—
800#2473—471no—
801#2473—471no—
802#2473D4711yescharacteristic, direct product factor
803C2×#400—471no—
804C2×#398—471no—
805C2×#398—471no—
806C2×#398—471no—
807C2×#389—471no—
808C2×#387—471no—
809C2×#387—471no—
810C2×#385—471no—
811C2×#385—471no—
812C2×#385—471no—
813C2×#385—471no—
814C2×#380—471no—
815C2×C4×C22⋊C4—471no—
816C2×C47—24no—
817C2×C47C2×#52511yescharacteristic
818C2×C47C22×#12511yescharacteristic
819C2×C47C2×#53911yescharacteristic
820C2×C47C2×#54611yescharacteristic
821C2×C47C2×D4×Q811yescharacteristic
822C2×C47C2×#55211yescharacteristic
823C2×C47C2×#55411yescharacteristic
824D47—24no—
825D47#247318yesdirect product factor
826C24×C4—471no—
827C24×C4—471no—
828C24×C4—471no—
829C2×#125—471no—
830C2×#125—471no—
831C2×#125—471no—
832C2×#125—471no—
833C2×#125—471no—
834C2×#125—471no—
835C2×#125—471no—
836C2×#125—948no—
837C2×#125C2×D4711yescharacteristic, complemented
838C22×C4⋊C4—471no—
839C22×C4⋊C4—471no—
840C22×C4⋊C4—471no—
841C22×C4⋊C4—471no—
842C22×C4⋊C4—471no—
843C22×C4⋊C4—471no—
844C22×C4⋊C4—471no—
845C22×C4⋊C4—471no—
846C22×C4⋊C4—471no—
847C22×C4⋊C4—471no—
848C22×C4⋊C4—471no—
849C22×C4⋊C4—471no—
850C22×C4⋊C4—471no—
851C22×C4⋊C4—471no—
852C22×C4⋊C4—471no—
853C22×C4⋊C4—471no—
854C22×C4⋊C4—471no—
855C22×C4⋊C4—471no—
856C22×C4⋊C4—471no—
857C22×C4⋊C4—471no—
858C22×C4⋊C4—471no—
859C22×C4⋊C4—948no—
860C22×C4⋊C4C2×D4711yescharacteristic
861C22×C22⋊C4—471no—
862C22×C22⋊C4—471no—
863C22×C22⋊C4—471no—
864C22×C22⋊C4—471no—
865C22×C42—471no—
866C22×C42—471no—
867#400—471no—
868#400—471no—
869#400—471no—
870#400—471no—
871#400—471no—
872#400—471no—
873#400—471no—
874#400C2×D4711yescharacteristic, complemented
875#398—471no—
876#398—471no—
877#398—471no—
878#398—471no—
879#398—471no—
880#398—471no—
881#398—471no—
882#398—471no—
883#398—471no—
884#398—471no—
885#398—471no—
886#398—471no—
887#398—471no—
888#398—471no—
889#398—471no—
890#398—471no—
891#398—471no—
892#398—471no—
893#398—471no—
894#398—471no—
895#398—471no—
896#398C2×D4711yescharacteristic, complemented
897#398C2×D4711yescharacteristic, complemented
898#398C2×D4711yescharacteristic, complemented
899#389—471no—
900#389—471no—
901#389—471no—
902#389—471no—
903#389—471no—
904#389—471no—
905#389—471no—
906#389C2×D4711yescharacteristic, complemented
907#387—471no—
908#387—471no—
909#387—471no—
910#387—471no—
911#387—471no—
912#387—471no—
913#387—471no—
914#387—471no—
915#387—471no—
916#387—471no—
917#387—471no—
918#387—471no—
919#387—471no—
920#387—471no—
921#387C2×D4711yescharacteristic, complemented
922#387C2×D4711yescharacteristic, complemented
923#385—471no—
924#385—471no—
925#385—471no—
926#385—471no—
927#385—471no—
928#385—471no—
929#385—471no—
930#385—471no—
931#385—471no—
932#385—471no—
933#385—471no—
934#385—471no—
935#385—471no—
936#385—471no—
937#385—471no—
938#385—471no—
939#385—471no—
940#385—471no—
941#385—471no—
942#385—471no—
943#385—471no—
944#385—471no—
945#385—471no—
946#385—471no—
947#385—471no—
948#385—471no—
949#385—471no—
950#385—471no—
951#385C2×D4711yescharacteristic
952#385C2×D4711yescharacteristic
953#385C2×D4711yescharacteristic
954#385C2×D4711yescharacteristic
955#380—471no—
956#380—471no—
957#380—471no—
958#380—471no—
959#380—471no—
960#380—471no—
961#380—471no—
962#380C2×D4711yescharacteristic
963C4×C22⋊C4—471no—
964C4×C22⋊C4—471no—
965C4×C22⋊C4—471no—
966C4×C22⋊C4—471no—
967C4×C22⋊C4—471no—
968C4×C22⋊C4—471no—
969C4×C22⋊C4—471no—
970C4×C22⋊C4C2×D4711yescharacteristic
971C2×#95—471no—
972C2×#95—471no—
973C2×#95—471no—
974C2×#95—471no—
975C2×#95—471no—
976C2×#95—471no—
977C2×#95—471no—
978C2×#95—471no—
979C2×#95—471no—
980C2×#95—471no—
981C2×#95—471no—
982C2×#95—471no—
983C47C2×#247311yescharacteristic, complemented, Sylow
984C25—471no—
985C23×C4—471no—
986C23×C4—471no—
987C23×C4—471no—
988C23×C4—471no—
989C23×C4—471no—
990C23×C4—471no—
991C23×C4—471no—
992C23×C4—471no—
993C23×C4—471no—
994C23×C4—471no—
995C23×C4—471no—
996C23×C4—471no—
997C23×C4—471no—
998C23×C4—471no—
999C23×C4—471no—
1000C23×C4—471no—
1001C23×C4—471no—
1002C23×C4—471no—
1003C23×C4—471no—
1004C23×C4—471no—
1005C23×C4—471no—
1006C23×C4—471no—
1007C23×C4—471no—
1008C23×C4—944no—
1009C23×C4—944no—
1010C23×C4—944no—
1011C23×C4—944no—
1012C23×C4—944no—
1013C23×C4—944no—
1014C23×C4—944no—
1015C23×C4—1882no—
1016C23×C4—1882no—
1017C23×C4C22×D4711yescharacteristic
1018C23×C4C22×D4711yescharacteristic
1019C23×C4C22×D4711yescharacteristic
1020#125—24no—
1021#125—944no—
1022#125—944no—
1023#125—944no—
1024#125—944no—
1025#125—944no—
1026#125—944no—
1027#125—944no—
1028C2×C4⋊C4—24no—
1029C2×C4⋊C4—471no—
1030C2×C4⋊C4—471no—
1031C2×C4⋊C4—471no—
1032C2×C4⋊C4—478no—
1033C2×C4⋊C4—471no—
1034C2×C4⋊C4—471no—
1035C2×C4⋊C4—471no—
1036C2×C4⋊C4—471no—
1037C2×C4⋊C4—471no—
1038C2×C4⋊C4—471no—
1039C2×C4⋊C4—471no—
1040C2×C4⋊C4—471no—
1041C2×C4⋊C4—471no—
1042C2×C4⋊C4—471no—
1043C2×C4⋊C4—471no—
1044C2×C4⋊C4—471no—
1045C2×C4⋊C4—471no—
1046C2×C4⋊C4—471no—
1047C2×C4⋊C4—471no—
1048C2×C4⋊C4—471no—
1049C2×C4⋊C4—471no—
1050C2×C4⋊C4—471no—
1051C2×C4⋊C4—471no—
1052C2×C4⋊C4—471no—
1053C2×C4⋊C4—471no—
1054C2×C4⋊C4—471no—
1055C2×C4⋊C4—471no—
1056C2×C4⋊C4—471no—
1057C2×C4⋊C4—471no—
1058C2×C4⋊C4—471no—
1059C2×C4⋊C4—471no—
1060C2×C4⋊C4—471no—
1061C2×C4⋊C4—471no—
1062C2×C4⋊C4—471no—
1063C2×C4⋊C4—471no—
1064C2×C4⋊C4—471no—
1065C2×C4⋊C4—471no—
1066C2×C4⋊C4—471no—
1067C2×C4⋊C4—471no—
1068C2×C4⋊C4—471no—
1069C2×C4⋊C4—471no—
1070C2×C4⋊C4—471no—
1071C2×C4⋊C4—471no—
1072C2×C4⋊C4—944no—
1073C2×C4⋊C4—944no—
1074C2×C4⋊C4—944no—
1075C2×C4⋊C4—944no—
1076C2×C4⋊C4—944no—
1077C2×C4⋊C4—944no—
1078C2×C4⋊C4—944no—
1079C2×C4⋊C4—944no—
1080C2×C4⋊C4—944no—
1081C2×C4⋊C4—944no—
1082C2×C4⋊C4—944no—
1083C2×C4⋊C4—944no—
1084C2×C4⋊C4—944no—
1085C2×C4⋊C4—944no—
1086C2×C4⋊C4—944no—
1087C2×C4⋊C4—944no—
1088C2×C4⋊C4—944no—
1089C2×C4⋊C4—1882no—
1090C2×C4⋊C4—1882no—
1091C2×C4⋊C4—1882no—
1092C2×C4⋊C4C22×D4711yescharacteristic
1093C2×C4⋊C4C22×D4711yescharacteristic
1094C2×C4⋊C4C22×D4711yescharacteristic
1095C2×C4⋊C4C22×D4711yescharacteristic
1096C2×C4⋊C4C22×D4711yescharacteristic
1097C2×C4⋊C4C22×D4711yescharacteristic
1098C2×C4⋊C4C22×D4711yescharacteristic
1099C2×C4⋊C4C22×D4711yescharacteristic
1100C2×C4⋊C4C22×D4711yescharacteristic
1101C2×C4⋊C4C22×D4711yescharacteristic
1102C2×C4⋊C4C22×D4711yescharacteristic
1103C2×C4⋊C4C22×D4711yescharacteristic
1104C2×C4⋊C4C22×D4711yescharacteristic
1105C2×C4⋊C4C22×D4711yescharacteristic
1106C2×C22⋊C4—471no—
1107C2×C22⋊C4—471no—
1108C2×C22⋊C4—471no—
1109C2×C22⋊C4—478no—
1110C2×C22⋊C4—471no—
1111C2×C22⋊C4—471no—
1112C2×C22⋊C4—471no—
1113C2×C22⋊C4—471no—
1114C2×C22⋊C4—471no—
1115C2×C22⋊C4—471no—
1116C2×C22⋊C4—471no—
1117C2×C22⋊C4—471no—
1118C2×C22⋊C4—471no—
1119C2×C22⋊C4—944no—
1120C2×C22⋊C4—944no—
1121C2×C22⋊C4—944no—
1122C2×C22⋊C4C22×D4711yescharacteristic
1123C2×C22⋊C4C22×D4711yescharacteristic
1124C2×C22⋊C4C22×D4711yescharacteristic
1125C2×C22⋊C4C22×D4711yescharacteristic
1126C2×C42—471no—
1127C2×C42—471no—
1128C2×C42—471no—
1129C2×C42—471no—
1130C2×C42—471no—
1131C2×C42—471no—
1132C2×C42—944no—
1133C2×C42—1882no—
1134C2×C42C22×D4711yescharacteristic
1135C2×C42C22×D4711yescharacteristic
1136#95—471no—
1137#95—471no—
1138#95—471no—
1139#95—471no—
1140#95—471no—
1141#95—471no—
1142#95—471no—
1143#95—471no—
1144#95—471no—
1145#95—471no—
1146#95—471no—
1147#95—471no—
1148#95—471no—
1149#95—471no—
1150#95—471no—
1151#95—471no—
1152#95—471no—
1153#95—471no—
1154#95—471no—
1155#95—471no—
1156#95—471no—
1157#95—471no—
1158#95—471no—
1159#95—471no—
1160#95—471no—
1161#95—471no—
1162#95—471no—
1163#95—471no—
1164#95—471no—
1165#95—471no—
1166#95—471no—
1167#95—471no—
1168#95—471no—
1169#95—471no—
1170#95—471no—
1171#95—471no—
1172#95C22×D4711yescharacteristic
1173#95C22×D4711yescharacteristic
1174#95C22×D4711yescharacteristic
1175#95C22×D4711yescharacteristic
1176#95C22×D4711yescharacteristic
1177#95C22×D4711yescharacteristic
1178#95C22×D4711yescharacteristic
1179#95C22×D4711yescharacteristic
1180#95C22×D4711yescharacteristic
1181#95C22×D4711yescharacteristic
1182#95C22×D4711yescharacteristic
1183#95C22×D4711yescharacteristic
1184C24—471no—
1185C24—474no—
1186C24—474no—
1187C24—474no—
1188C24—471no—
1189C24—942no—
1190C24—942no—
1191C24—942no—
1192C24—942no—
1193C24C23×D4711yescharacteristic
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—22no—
1197C22×C4—22no—
1198C22×C4—22no—
1199C22×C4—22no—
1200C22×C4—22no—
1201C22×C4—41no—
1202C22×C4—41no—
1203C22×C4—471no—
1204C22×C4—471no—
1205C22×C4—471no—
1206C22×C4—471no—
1207C22×C4—471no—
1208C22×C4—471no—
1209C22×C4—474no—
1210C22×C4—474no—
1211C22×C4—474no—
1212C22×C4—474no—
1213C22×C4—474no—
1214C22×C4—474no—
1215C22×C4—471no—
1216C22×C4—471no—
1217C22×C4—471no—
1218C22×C4—471no—
1219C22×C4—471no—
1220C22×C4—471no—
1221C22×C4—471no—
1222C22×C4—471no—
1223C22×C4—942no—
1224C22×C4—942no—
1225C22×C4—942no—
1226C22×C4—942no—
1227C22×C4—942no—
1228C22×C4—942no—
1229C22×C4—942no—
1230C22×C4—942no—
1231C22×C4—942no—
1232C22×C4—942no—
1233C22×C4—942no—
1234C22×C4—942no—
1235C22×C4—942no—
1236C22×C4—942no—
1237C22×C4—942no—
1238C22×C4—942no—
1239C22×C4—942no—
1240C22×C4—942no—
1241C22×C4—9432no—
1242C22×C4—942no—
1243C22×C4—942no—
1244C22×C4—942no—
1245C22×C4—942no—
1246C22×C4—942no—
1247C22×C4—942no—
1248C22×C4—942no—
1249C22×C4—942no—
1250C22×C4—942no—
1251C22×C4—942no—
1252C22×C4—942no—
1253C22×C4—942no—
1254C22×C4—942no—
1255C22×C4—942no—
1256C22×C4—942no—
1257C22×C4—942no—
1258C22×C4—942no—
1259C22×C4—942no—
1260C22×C4—942no—
1261C22×C4—942no—
1262C22×C4—942no—
1263C22×C4—942no—
1264C22×C4—942no—
1265C22×C4—942no—
1266C22×C4—942no—
1267C22×C4—942no—
1268C22×C4—942no—
1269C22×C4—942no—
1270C22×C4—942no—
1271C22×C4—942no—
1272C22×C4—942no—
1273C22×C4—942no—
1274C22×C4—942no—
1275C22×C4—942no—
1276C22×C4—942no—
1277C22×C4—942no—
1278C22×C4—942no—
1279C22×C4—942no—
1280C22×C4—942no—
1281C22×C4—1881no—
1282C22×C4—1881no—
1283C22×C4—1881no—
1284C22×C4—1881no—
1285C22×C4—18816no—
1286C22×C4—18816no—
1287C22×C4—1881no—
1288C22×C4—1881no—
1289C22×C4C23×D4711yescharacteristic
1290C22×C4C23×D4711yescharacteristic
1291C22×C4C23×D4711yescharacteristic
1292C22×C4C23×D4711yescharacteristic
1293C22×C4C23×D4711yescharacteristic
1294C22×C4C23×D4711yescharacteristic
1295C22×C4C23×D4711yescharacteristic
1296C22×C4C23×D4711yescharacteristic
1297C22×C4C23×D4711yescharacteristic
1298C22×C4C23×D4711yescharacteristic
1299C22×C4C23×D4711yescharacteristic
1300C22×C4C23×D4711yescharacteristic
1301C22×C4C23×D4711yescharacteristic
1302C22×C4C23×D4711yescharacteristic
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—41no—
1314C4⋊C4—41no—
1315C4⋊C4—41no—
1316C4⋊C4—474no—
1317C4⋊C4—474no—
1318C4⋊C4—474no—
1319C4⋊C4—942no—
1320C4⋊C4—942no—
1321C4⋊C4—942no—
1322C4⋊C4—942no—
1323C4⋊C4—942no—
1324C4⋊C4—942no—
1325C4⋊C4—942no—
1326C4⋊C4—942no—
1327C4⋊C4—942no—
1328C4⋊C4—942no—
1329C4⋊C4—942no—
1330C4⋊C4—942no—
1331C4⋊C4—942no—
1332C4⋊C4—942no—
1333C4⋊C4—942no—
1334C4⋊C4—942no—
1335C4⋊C4—942no—
1336C4⋊C4—942no—
1337C4⋊C4—942no—
1338C4⋊C4—942no—
1339C4⋊C4—942no—
1340C4⋊C4—942no—
1341C4⋊C4—942no—
1342C4⋊C4—942no—
1343C4⋊C4—942no—
1344C4⋊C4—942no—
1345C4⋊C4—942no—
1346C4⋊C4—942no—
1347C4⋊C4—942no—
1348C4⋊C4—942no—
1349C4⋊C4—1881no—
1350C4⋊C4—1881no—
1351C4⋊C4—1881no—
1352C4⋊C4—1881no—
1353C4⋊C4—1881no—
1354C4⋊C4—1881no—
1355C4⋊C4—1881no—
1356C4⋊C4—1881no—
1357C4⋊C4—1881no—
1358C4⋊C4D4×D4714yes—
1359C22⋊C4—22no—
1360C22⋊C4—22no—
1361C22⋊C4—22no—
1362C22⋊C4—474no—
1363C22⋊C4—474no—
1364C22⋊C4—474no—
1365C22⋊C4—942no—
1366C22⋊C4—942no—
1367C22⋊C4—942no—
1368C22⋊C4—942no—
1369C22⋊C4—942no—
1370C22⋊C4—942no—
1371C22⋊C4—942no—
1372C22⋊C4—942no—
1373C22⋊C4—942no—
1374C22⋊C4Q8×D4714yes—
1375C42—22no—
1376C42—41no—
1377C42—942no—
1378C42—942no—
1379C42—942no—
1380C42—1881no—
1381C42—1881no—
1382C42—1881no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—472no—
1388C23—472no—
1389C23—472no—
1390C23—472no—
1391C23—472no—
1392C23—472no—
1393C23—472no—
1394C23—4716no—
1395C23—472no—
1396C23—472no—
1397C23—472no—
1398C23—948no—
1399C23—948no—
1400C23—948no—
1401C23—948no—
1402C23—948no—
1403C23—948no—
1404C23—941no—
1405C23—941no—
1406C23—941no—
1407C23—941no—
1408C23C2×Q8×D4712yes—
1409C23#41×D4712yes—
1410C23#41×D4712yes—
1411C23C24×D4711yescharacteristic
1412C2×C4—28no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—44no—
1450C2×C4—44no—
1451C2×C4—472no—
1452C2×C4—472no—
1453C2×C4—472no—
1454C2×C4—472no—
1455C2×C4—472no—
1456C2×C4—472no—
1457C2×C4—948no—
1458C2×C4—948no—
1459C2×C4—948no—
1460C2×C4—948no—
1461C2×C4—948no—
1462C2×C4—948no—
1463C2×C4—948no—
1464C2×C4—948no—
1465C2×C4—948no—
1466C2×C4—941no—
1467C2×C4—941no—
1468C2×C4—941no—
1469C2×C4—941no—
1470C2×C4—941no—
1471C2×C4—941no—
1472C2×C4—941no—
1473C2×C4—941no—
1474C2×C4—941no—
1475C2×C4—941no—
1476C2×C4—941no—
1477C2×C4—941no—
1478C2×C4—941no—
1479C2×C4—941no—
1480C2×C4—941no—
1481C2×C4—941no—
1482C2×C4—941no—
1483C2×C4—941no—
1484C2×C4—941no—
1485C2×C4—941no—
1486C2×C4—941no—
1487C2×C4—941no—
1488C2×C4—941no—
1489C2×C4—941no—
1490C2×C4—941no—
1491C2×C4—941no—
1492C2×C4—941no—
1493C2×C4—941no—
1494C2×C4—941no—
1495C2×C4—941no—
1496C2×C4—941no—
1497C2×C4—941no—
1498C2×C4—941no—
1499C2×C4—941no—
1500C2×C4—941no—
1501C2×C4—941no—
1502C2×C4—1884no—
1503C2×C4—1884no—
1504C2×C4—1884no—
1505C2×C4—1884no—
1506C2×C4—1884no—
1507C2×C4—1884no—
1508C2×C4—1884no—
1509C2×C4—1884no—
1510C2×C4—1884no—
1511C2×C4—1884no—
1512C2×C4—1884no—
1513C2×C4—1884no—
1514C2×C4—1884no—
1515C2×C4—1884no—
1516C2×C4C2×D4×D4712yes—
1517C2×C4C2×D4×D4712yes—
1518C2×C4C2×D4×D4712yes—
1519C2×C4C2×Q8×D4712yes—
1520C2×C4C2×Q8×D4712yes—
1521C2×C4#41×D4712yes—
1522C22—22no—
1523C22—22no—
1524C22—22no—
1525C22—22no—
1526C22—22no—
1527C22—22no—
1528C22—474no—
1529C22—474no—
1530C22—474no—
1531C22—474no—
1532C22—474no—
1533C22—474no—
1534C22—474no—
1535C22—474no—
1536C22—9432no—
1537C22—942no—
1538C22—942no—
1539C22—942no—
1540C22—942no—
1541C22—942no—
1542C22—942no—
1543C22#125×D4714yescomplemented
1544C22C22×D4×D4711yescharacteristic
1545C22C22×Q8×D4711yescharacteristic
1546C22C2×#41×D4711yescharacteristic
1547C22C2×#41×D4711yescharacteristic
1548C22C2×#41×D4711yescharacteristic
1549C22H(5,𝔽2)×D4711yescharacteristic
1550C222−1+4×D4711yescharacteristic
1551C4—22no—
1552C4—22no—
1553C4—22no—
1554C4—22no—
1555C4—22no—
1556C4—22no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—942no—
1566C4—942no—
1567C4—942no—
1568C4—942no—
1569C4—942no—
1570C4—942no—
1571C4—1881no—
1572C4—1881no—
1573C4—1881no—
1574C4—1881no—
1575C4—1881no—
1576C4—1881no—
1577C4—1881no—
1578C4—1881no—
1579C2—24no—
1580C2—478no—
1581C2—944no—
1582C2#525×D4711yescharacteristic
1583C2C2×#125×D4711yescharacteristic
1584C2#539×D4711yescharacteristic
1585C2#546×D4711yescharacteristic
1586C2D4×Q8×D4711yescharacteristic
1587C2#552×D4711yescharacteristic
1588C2#554×D4711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2473C2
prime radicalC24×D47C23
hypercenter#2473D47
hypocenterC47C2×#2473
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2473

Complements

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

NH ≅ G/Ntype
1. C2×#125×D47C2semidirect
3. #20247536C2semidirect
4. #20247535C2semidirect
5. #20247534C2semidirect
6. #20247533C2semidirect
7. #20247532C2semidirect
8. #20247531C2semidirect
9. #20247530C2semidirect
10. #20247529C2semidirect
11. #20247528C2semidirect
12. #20247527C2semidirect
13. #20247526C2semidirect
14. #20247525C2semidirect
15. #20247524C2semidirect
16. #20247523C2semidirect
17. #20247522C2semidirect
18. #400×D47C2semidirect
19. #398×D47C2semidirect
20. #398×D47C2semidirect
21. #398×D47C2semidirect
22. #389×D47C2semidirect
23. #387×D47C2semidirect
24. #387×D47C2semidirect
31. C47×#2473C2semidirect
35. C2×#13094016C22semidirect
36. C2×#13094015C22semidirect
37. C2×#13094015C22semidirect
38. C2×#13094014C22semidirect
39. C2×#13094014C22semidirect
40. C2×#13094014C22semidirect
41. C2×#13094014C22semidirect
71. #15689065C22semidirect
72. #15689065C22semidirect
73. #15689064C22semidirect
74. #15689064C22semidirect
75. #15689063C22semidirect
76. #15689062C22semidirect
77. #15689061C22semidirect
78. #15689057C22semidirect
79. #15689057C22semidirect
80. #15689057C22semidirect
81. #15689057C22semidirect
82. #15689057C22semidirect
83. #15689057C22semidirect
84. #15689056C22semidirect
85. #15689056C22semidirect
86. #15689056C22semidirect
87. #15689056C22semidirect
88. #15689056C22semidirect
89. #15689056C22semidirect
90. #15689055C22semidirect
91. #15689055C22semidirect
92. #15689055C22semidirect
93. #15689054C22semidirect
94. #15689054C22semidirect
95. #15689054C22semidirect
96. #15689053C22semidirect
97. #15689053C22semidirect
98. #15689053C22semidirect
99. #15689022C22semidirect
100. #15689021C22semidirect
101. #15689020C22semidirect
102. #15689020C22semidirect
103. #15689019C22semidirect
104. #15689018C22semidirect
105. #15689018C22semidirect
106. #15689010C22semidirect
107. #15689010C22semidirect
108. #15689009C22semidirect
109. #15689009C22semidirect
110. #15689008C22semidirect
111. #15689008C22semidirect
112. #15689007C22semidirect
113. #15689007C22semidirect
114. #15689006C22semidirect
115. #15689006C22semidirect
116. #15689005C22semidirect
117. #15689005C22semidirect
118. #15689004C22semidirect
119. #15689004C22semidirect
174. C2×#125×C47C22semidirect
176. C47×#400C22semidirect
177. C47×#398C22semidirect
178. C47×#398C22semidirect
179. C47×#398C22semidirect
180. C47×#389C22semidirect
181. C47×#387C22semidirect
182. C47×#387C22semidirect
606. C22×D47#125semidirect
734. C22×C47C2×#125semidirect
751. C2×D47C2×#125semidirect
802. #2473D47direct (N × H)
825. D47#2473direct (N × H)
837. C2×#125C2×D47semidirect
874. #400C2×D47semidirect
896. #398C2×D47semidirect
897. #398C2×D47semidirect
898. #398C2×D47semidirect
906. #389C2×D47semidirect
921. #387C2×D47semidirect
922. #387C2×D47semidirect
983. C47C2×#2473semidirect
1543. C22#125×D47semidirect

Maximal subgroups

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

subgroupindex
C2×#125×D472
C22×C4⋊C4×D472
#202475362
#202475352
#202475342
#202475332
#202475322
#202475312
#202475302
#202475292
#202475282
#202475272
#202475262
#202475252
#202475242
#202475232
#202475222
#400×D472
#398×D472
#389×D472
#387×D472
#385×D472
#380×D472
C4×C22⋊C4×D472
C47×#24732
C2×#247347