Finite Group Databasebeta

← D47×#2554 #26386351

Subgroups — D47×#2554 #26386351

Order 12032.

3158 conjugacy classes of subgroups.

The subgroup lattice has 1812 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#126×D47C211yesmaximal, characteristic, complemented
2C2×#123×D47C211yesmaximal, characteristic, complemented
3#20248455C211yesmaximal, characteristic, complemented
4#20248454C211yesmaximal, characteristic, complemented
5#20248453C211yesmaximal, characteristic, complemented
6#20248452C211yesmaximal, characteristic, complemented
7#20248451C211yesmaximal, characteristic, complemented
8#20248450C211yesmaximal, characteristic, complemented
9#20248449C211yesmaximal, characteristic, complemented
10#20248448C211yesmaximal, characteristic, complemented
11#20248447C211yesmaximal, characteristic, complemented
12#20248446C211yesmaximal, characteristic, complemented
13#20248445C211yesmaximal, characteristic, complemented
14#20248444C211yesmaximal, characteristic, complemented
15#20248443C211yesmaximal, characteristic, complemented
16#20248442C211yesmaximal, characteristic, complemented
17#20248441C211yesmaximal, characteristic, complemented
18#398×D47C211yesmaximal, characteristic, complemented
19#396×D47C211yesmaximal, characteristic, complemented
20#394×D47C211yesmaximal, characteristic, complemented
21#392×D47C211yesmaximal, characteristic
22#390×D47C211yesmaximal, characteristic, complemented
23#390×D47C211yesmaximal, characteristic, complemented
24#390×D47C211yesmaximal, characteristic, complemented
25#388×D47C211yesmaximal, characteristic, complemented
26#388×D47C211yesmaximal, characteristic, complemented
27#388×D47C211yesmaximal, characteristic, complemented
28#386×D47C211yesmaximal, characteristic, complemented
29C4×C4⋊C4×D47C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D47C211yesmaximal, characteristic, complemented
31C47×#2554C211yesmaximal, characteristic, complemented
32C22×D4×D47C2211yescharacteristic
33C22×D4×D47C2211yescharacteristic
34C22×D4×D47C2211yescharacteristic
35C23×C4×D47C2211yescharacteristic
36C2×#13094019C2211yescharacteristic, complemented
37C2×#13094019C2211yescharacteristic, complemented
38C2×#13094019C2211yescharacteristic, complemented
39C2×#13094018C2211yescharacteristic, complemented
40C2×#13094017C2211yescharacteristic, complemented
41C2×#13094017C2211yescharacteristic, complemented
42C2×#13094017C2211yescharacteristic, complemented
43#126×D47—28no—
44C2×#13094009C2211yescharacteristic, complemented
45C2×#13094009C2211yescharacteristic, complemented
46C2×#13094008C2211yescharacteristic, complemented
47C2×#13094007C2211yescharacteristic, complemented
48C2×#13094006C2211yescharacteristic, complemented
49C2×#13094006C2211yescharacteristic, complemented
50C2×#13094005C2211yescharacteristic, complemented
51#123×D47—28no—
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×C22⋊C4×D47C2211yescharacteristic
60C2×C22⋊C4×D47C2211yescharacteristic
61C2×C22⋊C4×D47C2211yescharacteristic
62C2×C22⋊C4×D47C2211yescharacteristic
63C2×C22⋊C4×D47C2211yescharacteristic
64C2×C22⋊C4×D47C2211yescharacteristic
65C2×C22⋊C4×D47C2211yescharacteristic
66C2×C22⋊C4×D47C2211yescharacteristic
67C2×C22⋊C4×D47C2211yescharacteristic
68C2×C22⋊C4×D47C2211yescharacteristic
69C2×C22⋊C4×D47C2211yescharacteristic
70C2×C22⋊C4×D47C2211yescharacteristic
71C2×C22⋊C4×D47C2211yescharacteristic
72C2×C22⋊C4×D47C2211yescharacteristic
73C2×C42×D47C2211yescharacteristic
74C2×C42×D47C2211yescharacteristic
75C2×C42×D47C2211yescharacteristic
76C2×C42×D47C2211yescharacteristic
77#15689057C2211yescharacteristic, complemented
78#15689057C2211yescharacteristic, complemented
79#15689056C2211yescharacteristic, complemented
80#15689056C2211yescharacteristic, complemented
81#15689055C2211yescharacteristic, complemented
82#15689054C2211yescharacteristic, complemented
83#15689053C2211yescharacteristic, complemented
84#15689047C2211yescharacteristic, complemented
85#15689046C2211yescharacteristic, complemented
86#15689046C2211yescharacteristic, complemented
87#15689046C2211yescharacteristic, complemented
88#15689045C2211yescharacteristic, complemented
89#15689045C2211yescharacteristic, complemented
90#15689045C2211yescharacteristic, complemented
91#15689041C2211yescharacteristic, complemented
92#15689040C2211yescharacteristic, complemented
93#15689039C2211yescharacteristic, complemented
94#15689039C2211yescharacteristic, complemented
95#15689038C2211yescharacteristic, complemented
96#15689038C2211yescharacteristic, complemented
97#15689037C2211yescharacteristic, complemented
98#15689033C2211yescharacteristic
99#15689032C2211yescharacteristic
100#15689032C2211yescharacteristic
101#15689032C2211yescharacteristic
102#15689031C2211yescharacteristic
103#15689031C2211yescharacteristic
104#15689031C2211yescharacteristic
105#15689026C2211yescharacteristic, complemented
106#15689026C2211yescharacteristic, complemented
107#15689026C2211yescharacteristic, complemented
108#15689025C2211yescharacteristic, complemented
109#15689025C2211yescharacteristic, complemented
110#15689025C2211yescharacteristic, complemented
111#15689024C2211yescharacteristic, complemented
112#15689024C2211yescharacteristic, complemented
113#15689024C2211yescharacteristic, complemented
114#15689023C2211yescharacteristic, complemented
115#15689023C2211yescharacteristic, complemented
116#15689023C2211yescharacteristic, complemented
117#15689023C2211yescharacteristic, complemented
118#15689023C2211yescharacteristic, complemented
119#15689023C2211yescharacteristic, complemented
120#15689023C2211yescharacteristic, complemented
121#15689023C2211yescharacteristic, complemented
122#15689023C2211yescharacteristic, complemented
123#15689023C2211yescharacteristic, complemented
124#15689023C2211yescharacteristic, complemented
125#15689023C2211yescharacteristic, complemented
126#15689017C2211yescharacteristic, complemented
127#15689017C2211yescharacteristic, complemented
128#15689017C2211yescharacteristic, complemented
129#15689016C2211yescharacteristic, complemented
130#15689016C2211yescharacteristic, complemented
131#15689016C2211yescharacteristic, complemented
132#15689015C2211yescharacteristic, complemented
133#15689015C2211yescharacteristic, complemented
134#15689015C2211yescharacteristic, complemented
135#15689014C2211yescharacteristic, complemented
136#15689014C2211yescharacteristic, complemented
137#15689014C2211yescharacteristic, complemented
138#15689013C2211yescharacteristic, complemented
139#15689013C2211yescharacteristic, complemented
140#15689013C2211yescharacteristic, complemented
141#15689012C2211yescharacteristic, complemented
142#15689012C2211yescharacteristic, complemented
143#15689012C2211yescharacteristic, complemented
144#15689011C2211yescharacteristic, complemented
145#15689011C2211yescharacteristic, complemented
146#15689011C2211yescharacteristic, complemented
147#15689003C2211yescharacteristic, complemented
148#15689002C2211yescharacteristic, complemented
149#15689001C2211yescharacteristic, complemented
150#15689001C2211yescharacteristic, complemented
151#15689000C2211yescharacteristic, complemented
152#15688999C2211yescharacteristic, complemented
153#15688999C2211yescharacteristic, complemented
154C4⋊C4×Dic47C2211yescharacteristic, complemented
155C4⋊C4×Dic47C2211yescharacteristic, complemented
156C4×Dic47⋊C4C2211yescharacteristic, complemented
157C4×Dic47⋊C4C2211yescharacteristic, complemented
158C4×C4⋊Dic47C2211yescharacteristic, complemented
159#15688974C2211yescharacteristic, complemented
160#15688974C2211yescharacteristic, complemented
161C22⋊C4×Dic47C2211yescharacteristic, complemented
162C22⋊C4×Dic47C2211yescharacteristic, complemented
163C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
164C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
165C4×C22⋊Dic47C2211yescharacteristic, complemented
166#15688970C2211yescharacteristic, complemented
167#15688970C2211yescharacteristic, complemented
168#95×D47C2211yescharacteristic
169#95×D47C2211yescharacteristic
170#95×D47C2211yescharacteristic
171#95×D47C2211yescharacteristic
172#95×D47C2211yescharacteristic
173#95×D47C2211yescharacteristic
174C2×#126×C47C2211yescharacteristic, complemented
175C2×#123×C47C2211yescharacteristic, complemented
176C47×#398C2211yescharacteristic, complemented
177C47×#396C2211yescharacteristic, complemented
178C47×#394C2211yescharacteristic, complemented
179C47×#392C2211yescharacteristic
180C47×#390C2211yescharacteristic, complemented
181C47×#390C2211yescharacteristic, complemented
182C47×#390C2211yescharacteristic, complemented
183C47×#388C2211yescharacteristic, complemented
184C47×#388C2211yescharacteristic, complemented
185C47×#388C2211yescharacteristic, complemented
186C47×#386C2211yescharacteristic, complemented
187C4×C4⋊C4×C47C2211yescharacteristic, complemented
188C4×C22⋊C4×C47C2211yescharacteristic, complemented
189C24×D47C2311yescharacteristic
190C24×D47C2311yescharacteristic
191C24×D47C2311yescharacteristic
192C22×D188C2311yescharacteristic
193C22×D188C2311yescharacteristic
194C22×D188C2311yescharacteristic
195C22×C22⋊D47C2311yescharacteristic
196C22×C22⋊D47C2311yescharacteristic
197C22×C22⋊D47C2311yescharacteristic
198C22×C22⋊D47C2311yescharacteristic
199C22×C22⋊D47C2311yescharacteristic
200C22×C22⋊D47C2311yescharacteristic
201C2×D4×D47—24no—
202C2×D4×D47—24no—
203C2×D4×D47—24no—
204C2×D4×D47—24no—
205C2×D4×D47—24no—
206C2×D4×D47—42no—
207C2×D4×D47—42no—
208C2×D4×D47—42no—
209C2×D4×D47—42no—
210C23×Dic47C2311yescharacteristic
211C22×C4×D47—24no—
212C22×C4×D47—24no—
213C22×C4×D47—42no—
214C22×C4×D47C2311yescharacteristic
215C22×C4×D47C2311yescharacteristic
216C22×C4×D47C2311yescharacteristic
217C22×C4×D47C2311yescharacteristic
218C22×C4×D47C2311yescharacteristic
219C22×C4×D47C2311yescharacteristic
220C22×C4×D47C2311yescharacteristic
221C22×C4×D47C2311yescharacteristic
222C22×C4×D47C2311yescharacteristic
223C22×C4×D47C2311yescharacteristic
224C22×C4×D47C2311yescharacteristic
225C22×C4×D47C2311yescharacteristic
226C22×C4×D47C2311yescharacteristic
227C22×C4×D47C2311yescharacteristic
228#13094019—24no—
229#13094019—24no—
230#13094019—24no—
231#13094018—24no—
232#13094017—24no—
233#13094017—24no—
234#13094017—24no—
235#13094009—24no—
236#13094009—24no—
237#13094008—24no—
238#13094007—24no—
239#13094006—24no—
240#13094006—24no—
241#13094005—24no—
242C2×C4⋊Dic47C2311yescharacteristic
243C2×C4⋊Dic47C2311yescharacteristic
244C2×C4⋊Dic47C2311yescharacteristic
245C2×C4⋊Dic47C2311yescharacteristic
246C2×C4⋊Dic47C2311yescharacteristic
247C2×C4⋊Dic47C2311yescharacteristic
248C2×C4⋊Dic47C2311yescharacteristic
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
263C4⋊C4×D47—24no—
264C4⋊C4×D47—24no—
265C4⋊C4×D47—24no—
266C4⋊C4×D47—24no—
267C4⋊C4×D47—42no—
268C4⋊C4×D47—42no—
269C4⋊C4×D47D418yescomplemented
270C2×C22⋊Dic47C2311yescharacteristic
271C2×C22⋊Dic47C2311yescharacteristic
272C2×C22⋊Dic47C2311yescharacteristic
273C2×C22⋊Dic47C2311yescharacteristic
274C2×C22⋊Dic47C2311yescharacteristic
275C2×C22⋊Dic47C2311yescharacteristic
276C2×C22⋊Dic47C2311yescharacteristic
277C2×C22⋊Dic47C2311yescharacteristic
278C2×C22⋊Dic47C2311yescharacteristic
279C2×C22⋊Dic47C2311yescharacteristic
280C2×C22⋊Dic47C2311yescharacteristic
281C2×C22⋊Dic47C2311yescharacteristic
282C2×C22⋊Dic47C2311yescharacteristic
283C2×C22⋊Dic47C2311yescharacteristic
284C2×(C2×D47)⋊C4C2311yescharacteristic
285C2×(C2×D47)⋊C4C2311yescharacteristic
286C2×(C2×D47)⋊C4C2311yescharacteristic
287C2×(C2×D47)⋊C4C2311yescharacteristic
288C2×(C2×D47)⋊C4C2311yescharacteristic
289C2×(C2×D47)⋊C4C2311yescharacteristic
290C2×(C2×D47)⋊C4C2311yescharacteristic
291C2×(C2×D47)⋊C4C2311yescharacteristic
292C2×(C2×D47)⋊C4C2311yescharacteristic
293C2×(C2×D47)⋊C4C2311yescharacteristic
294C2×(C2×D47)⋊C4C2311yescharacteristic
295C2×(C2×D47)⋊C4C2311yescharacteristic
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
304C2×(C2×D47)⋊C4C2311yescharacteristic
305C2×(C2×D47)⋊C4C2311yescharacteristic
306C2×(C2×D47)⋊C4C2311yescharacteristic
307C2×(C2×D47)⋊C4C2311yescharacteristic
308C2×(C2×D47)⋊C4C2311yescharacteristic
309C2×(C2×D47)⋊C4C2311yescharacteristic
310C2×(C2×D47)⋊C4C2311yescharacteristic
311C2×(C2×D47)⋊C4C2311yescharacteristic
312C22⋊C4×D47—24no—
313C22⋊C4×D47—24no—
314C22⋊C4×D47—24no—
315C22⋊C4×D47—24no—
316C22⋊C4×D47—24no—
317C22⋊C4×D47—24no—
318C22⋊C4×D47—24no—
319C22⋊C4×D47—24no—
320C22⋊C4×D47—24no—
321C22⋊C4×D47—24no—
322C22⋊C4×D47—24no—
323C22⋊C4×D47—42no—
324C22⋊C4×D47—42no—
325C22⋊C4×D47—42no—
326C2×C4×Dic47C2311yescharacteristic
327C2×C4×Dic47C2311yescharacteristic
328C2×C4×Dic47C2311yescharacteristic
329C2×C4×Dic47C2311yescharacteristic
330C2×C4×Dic47C2311yescharacteristic
331C2×C4×Dic47C2311yescharacteristic
332C2×C4×Dic47C2311yescharacteristic
333C2×C4×Dic47C2311yescharacteristic
334C2×C4×Dic47C2311yescharacteristic
335C2×C4×Dic47C2311yescharacteristic
336C2×C4×Dic47C2311yescharacteristic
337C2×C4×Dic47C2311yescharacteristic
338C42×D47—24no—
339C42×D47—24no—
340C42×D47—42no—
341C42×D47—42no—
342C47⋊#95C2311yescharacteristic
343C47⋊#95C2311yescharacteristic
344C47⋊#95C2311yescharacteristic
345C47⋊#95C2311yescharacteristic
346C47⋊#95C2311yescharacteristic
347C47⋊#95C2311yescharacteristic
348C47⋊#95C2311yescharacteristic
349C47⋊#95C2311yescharacteristic
350C47⋊#95C2311yescharacteristic
351C47⋊#95C2311yescharacteristic
352C47⋊#95C2311yescharacteristic
353C47⋊#95C2311yescharacteristic
354C47⋊#95C2311yescharacteristic
355C47⋊#95C2311yescharacteristic
356C47⋊#95C2311yescharacteristic
357C47⋊#95C2311yescharacteristic
358C47⋊#95C2311yescharacteristic
359C47⋊#95C2311yescharacteristic
360C22×D4×C47C2311yescharacteristic
361C22×D4×C47C2311yescharacteristic
362C22×D4×C47C2311yescharacteristic
363C23×C4×C47C2311yescharacteristic
364#126×C47—24no—
365#123×C47—24no—
366C2×C4⋊C4×C47C2311yescharacteristic
367C2×C4⋊C4×C47C2311yescharacteristic
368C2×C4⋊C4×C47C2311yescharacteristic
369C2×C4⋊C4×C47C2311yescharacteristic
370C2×C4⋊C4×C47C2311yescharacteristic
371C2×C4⋊C4×C47C2311yescharacteristic
372C2×C4⋊C4×C47C2311yescharacteristic
373C2×C22⋊C4×C47C2311yescharacteristic
374C2×C22⋊C4×C47C2311yescharacteristic
375C2×C22⋊C4×C47C2311yescharacteristic
376C2×C22⋊C4×C47C2311yescharacteristic
377C2×C22⋊C4×C47C2311yescharacteristic
378C2×C22⋊C4×C47C2311yescharacteristic
379C2×C22⋊C4×C47C2311yescharacteristic
380C2×C22⋊C4×C47C2311yescharacteristic
381C2×C22⋊C4×C47C2311yescharacteristic
382C2×C22⋊C4×C47C2311yescharacteristic
383C2×C22⋊C4×C47C2311yescharacteristic
384C2×C22⋊C4×C47C2311yescharacteristic
385C2×C22⋊C4×C47C2311yescharacteristic
386C2×C22⋊C4×C47C2311yescharacteristic
387C2×C42×C47C2311yescharacteristic
388C2×C42×C47C2311yescharacteristic
389C2×C42×C47C2311yescharacteristic
390C2×C42×C47C2311yescharacteristic
391#95×C47C2311yescharacteristic
392#95×C47C2311yescharacteristic
393#95×C47C2311yescharacteristic
394#95×C47C2311yescharacteristic
395#95×C47C2311yescharacteristic
396#95×C47C2311yescharacteristic
397C24×C47C2411yescharacteristic
398C24×C47C2411yescharacteristic
399C24×C47C2411yescharacteristic
400C23×D47—22no—
401C23×D47—22no—
402C23×D47—22no—
403C23×D47—22no—
404C23×D47—22no—
405C23×D47—22no—
406C23×D47—22no—
407C23×D47—22no—
408C23×D47—22no—
409C23×D47—22no—
410C23×D47—22no—
411C23×D47—22no—
412C23×D47—22no—
413C23×D47—22no—
414C23×D47—22no—
415C23×D47—22no—
416C23×D47—22no—
417C23×D47—22no—
418C23×D47—22no—
419C23×D47—22no—
420C23×D47#4114yes—
421C23×D47C2411yescharacteristic
422C23×D47C2411yescharacteristic
423C23×D47C2411yescharacteristic
424C23×D47C2411yescharacteristic
425C2×D4×C47—22no—
426C2×D4×C47—22no—
427C2×D4×C47—22no—
428C2×D4×C47—22no—
429C2×D4×C47—22no—
430C2×D4×C47—41no—
431C2×D4×C47—41no—
432C2×D4×C47—41no—
433C2×D4×C47—41no—
434C22×C4×C47—22no—
435C22×C4×C47—22no—
436C22×C4×C47—41no—
437C22×C4×C47C2411yescharacteristic
438C22×C4×C47C2411yescharacteristic
439C22×C4×C47C2411yescharacteristic
440C22×C4×C47C2411yescharacteristic
441C22×C4×C47C2411yescharacteristic
442C22×C4×C47C2411yescharacteristic
443C22×C4×C47C2411yescharacteristic
444C22×C4×C47C2411yescharacteristic
445C22×C4×C47C2411yescharacteristic
446C22×C4×C47C2411yescharacteristic
447C22×C4×C47C2411yescharacteristic
448C22×C4×C47C2411yescharacteristic
449C2×C22⋊D47—22no—
450C2×C22⋊D47—22no—
451C2×C22⋊D47—22no—
452C2×C22⋊D47—22no—
453C2×C22⋊D47—22no—
454C2×C22⋊D47—22no—
455C2×C22⋊D47—22no—
456C2×C22⋊D47—22no—
457C2×C22⋊D47—22no—
458C2×C22⋊D47—22no—
459C2×C22⋊D47—41no—
460C2×C22⋊D47—41no—
461C2×C22⋊D47—41no—
462C2×C22⋊D47—41no—
463C2×C22⋊D47—41no—
464C2×C22⋊D47—41no—
465C2×C22⋊D47—41no—
466C2×C22⋊D47—41no—
467C22×Dic47—22no—
468C22×Dic47—22no—
469C22×Dic47—41no—
470C22×Dic47C2411yescharacteristic
471C22×Dic47C2411yescharacteristic
472C22×Dic47C2411yescharacteristic
473C22×Dic47C2411yescharacteristic
474C22×Dic47C2411yescharacteristic
475C22×Dic47C2411yescharacteristic
476C22×Dic47C2411yescharacteristic
477C22×Dic47C2411yescharacteristic
478C22×Dic47C2411yescharacteristic
479C22×Dic47C2411yescharacteristic
480C22×Dic47C2411yescharacteristic
481C22×Dic47C2411yescharacteristic
482D4×D47—416no—
483D4×D47—416no—
484D4×D47—416no—
485C2×D188—22no—
486C2×D188—22no—
487C2×D188—22no—
488C2×D188—22no—
489C2×D188—22no—
490C2×D188—41no—
491C2×D188—41no—
492C2×D188—41no—
493C2×D188—41no—
494C2×C4×D47—22no—
495C2×C4×D47—22no—
496C2×C4×D47—22no—
497C2×C4×D47—22no—
498C2×C4×D47—22no—
499C2×C4×D47—22no—
500C2×C4×D47—22no—
501C2×C4×D47—22no—
502C2×C4×D47—22no—
503C2×C4×D47—22no—
504C2×C4×D47—22no—
505C2×C4×D47—22no—
506C2×C4×D47—22no—
507C2×C4×D47—22no—
508C2×C4×D47—22no—
509C2×C4×D47—22no—
510C2×C4×D47—22no—
511C2×C4×D47—22no—
512C2×C4×D47—22no—
513C2×C4×D47—22no—
514C2×C4×D47—22no—
515C2×C4×D47—22no—
516C2×C4×D47—22no—
517C2×C4×D47—22no—
518C2×C4×D47—22no—
519C2×C4×D47—22no—
520C2×C4×D47—22no—
521C2×C4×D47—22no—
522C2×C4×D47—22no—
523C2×C4×D47—22no—
524C2×C4×D47—22no—
525C2×C4×D47—22no—
526C2×C4×D47—22no—
527C2×C4×D47—22no—
528C2×C4×D47—416no—
529C2×C4×D47—41no—
530C2×C4×D47—41no—
531C2×C4×D47C2×D414yes—
532C2×C4×D47C2×D414yes—
533C2×C4×D47C2×D414yes—
534C2×C4×D47#4114yes—
535C2×C4×D47#4114yes—
536C2×C4×D47#4114yes—
537C4⋊C4×C47—22no—
538C4⋊C4×C47—22no—
539C4⋊C4×C47—22no—
540C4⋊C4×C47—22no—
541C4⋊C4×C47—41no—
542C4⋊C4×C47—41no—
543C4⋊C4×C47C2×D414yescomplemented
544C22⋊C4×C47—22no—
545C22⋊C4×C47—22no—
546C22⋊C4×C47—22no—
547C22⋊C4×C47—22no—
548C22⋊C4×C47—22no—
549C22⋊C4×C47—22no—
550C22⋊C4×C47—22no—
551C22⋊C4×C47—22no—
552C22⋊C4×C47—22no—
553C22⋊C4×C47—22no—
554C22⋊C4×C47—22no—
555C22⋊C4×C47—41no—
556C22⋊C4×C47—41no—
557C22⋊C4×C47—41no—
558C42×C47—22no—
559C42×C47—22no—
560C42×C47—41no—
561C42×C47—41no—
562C22⋊Dic47—22no—
563C22⋊Dic47—22no—
564C22⋊Dic47—22no—
565C22⋊Dic47—22no—
566C22⋊Dic47—22no—
567C22⋊Dic47—22no—
568C22⋊Dic47—22no—
569C22⋊Dic47—22no—
570C22⋊Dic47—22no—
571C22⋊Dic47—22no—
572C22⋊Dic47—22no—
573C22⋊Dic47—41no—
574C22⋊Dic47—41no—
575C22⋊Dic47—41no—
576(C2×D47)⋊C4—22no—
577(C2×D47)⋊C4—22no—
578(C2×D47)⋊C4—22no—
579(C2×D47)⋊C4—22no—
580(C2×D47)⋊C4—22no—
581(C2×D47)⋊C4—22no—
582(C2×D47)⋊C4—22no—
583(C2×D47)⋊C4—22no—
584(C2×D47)⋊C4—22no—
585(C2×D47)⋊C4—22no—
586(C2×D47)⋊C4—22no—
587(C2×D47)⋊C4—22no—
588(C2×D47)⋊C4—22no—
589(C2×D47)⋊C4—22no—
590(C2×D47)⋊C4—22no—
591(C2×D47)⋊C4—22no—
592(C2×D47)⋊C4—22no—
593(C2×D47)⋊C4—22no—
594(C2×D47)⋊C4—22no—
595(C2×D47)⋊C4—22no—
596(C2×D47)⋊C4—22no—
597(C2×D47)⋊C4—22no—
598(C2×D47)⋊C4—41no—
599(C2×D47)⋊C4—41no—
600(C2×D47)⋊C4—41no—
601(C2×D47)⋊C4—41no—
602(C2×D47)⋊C4—41no—
603(C2×D47)⋊C4—41no—
604C4⋊Dic47—22no—
605C4⋊Dic47—22no—
606C4⋊Dic47—22no—
607C4⋊Dic47—22no—
608C4⋊Dic47—41no—
609C4⋊Dic47—41no—
610C4⋊Dic47C2×D414yescomplemented
611Dic47⋊C4—22no—
612Dic47⋊C4—22no—
613Dic47⋊C4—22no—
614Dic47⋊C4—22no—
615Dic47⋊C4—22no—
616Dic47⋊C4—22no—
617Dic47⋊C4—22no—
618Dic47⋊C4—22no—
619Dic47⋊C4—41no—
620Dic47⋊C4—41no—
621Dic47⋊C4—41no—
622Dic47⋊C4—41no—
623Dic47⋊C4C2×D414yescomplemented
624Dic47⋊C4C2×D414yescomplemented
625C4×Dic47—22no—
626C4×Dic47—22no—
627C4×Dic47—22no—
628C4×Dic47—22no—
629C4×Dic47—22no—
630C4×Dic47—22no—
631C4×Dic47—41no—
632C4×Dic47—41no—
633C4×Dic47—41no—
634C4×Dic47—41no—
635C4×Dic47—41no—
636C4×Dic47—41no—
637C23×C47—21no—
638C23×C47—21no—
639C23×C47—21no—
640C23×C47—21no—
641C23×C47—21no—
642C23×C47—21no—
643C23×C47—21no—
644C23×C47—21no—
645C23×C47—21no—
646C23×C47—21no—
647C23×C47—21no—
648C23×C47—21no—
649C23×C47—21no—
650C23×C47—21no—
651C23×C47—21no—
652C23×C47—21no—
653C23×C47—21no—
654C23×C47—21no—
655C23×C47—21no—
656C23×C47—21no—
657C23×C47C2×#4112yes—
658C23×C47C2511yescharacteristic
659C22×D47—21no—
660C22×D47—21no—
661C22×D47—21no—
662C22×D47—21no—
663C22×D47—21no—
664C22×D47—21no—
665C22×D47—28no—
666C22×D47—28no—
667C22×D47—28no—
668C22×D47—21no—
669C22×D47—21no—
670C22×D47—21no—
671C22×D47—21no—
672C22×D47—21no—
673C22×D47—21no—
674C22×D47—21no—
675C22×D47—21no—
676C22×D47—21no—
677C22×D47—21no—
678C22×D47—21no—
679C22×D47—21no—
680C22×D47—21no—
681C22×D47—21no—
682C22×D47—44no—
683C22×D47—44no—
684C22×D47—44no—
685C22×D47—44no—
686C22×D47—44no—
687C22×D47—44no—
688C22×D47—44no—
689C22×D47—44no—
690C22×D47—44no—
691C22×D47—44no—
692C22×D47—44no—
693C22×D47—44no—
694C22×D47—44no—
695C22×D47—44no—
696C22×D47—44no—
697C22×D47—44no—
698C22×D47—44no—
699C22×D47—44no—
700C22×D47C22×D412yes—
701C22×D47C2×#4112yes—
702C22×D47C2×#4112yes—
703C22×D47C2×#4112yes—
704C22×D47C2×#4112yes—
705C22×D47C2×#4112yes—
706C22×D47H(5,𝔽2)12yes—
707C22×D47H(5,𝔽2)12yes—
708D4×C47—44no—
709D4×C47—44no—
710D4×C47—44no—
711C2×C4×C47—21no—
712C2×C4×C47—21no—
713C2×C4×C47—21no—
714C2×C4×C47—21no—
715C2×C4×C47—21no—
716C2×C4×C47—21no—
717C2×C4×C47—21no—
718C2×C4×C47—21no—
719C2×C4×C47—21no—
720C2×C4×C47—21no—
721C2×C4×C47—21no—
722C2×C4×C47—21no—
723C2×C4×C47—21no—
724C2×C4×C47—21no—
725C2×C4×C47—21no—
726C2×C4×C47—21no—
727C2×C4×C47—21no—
728C2×C4×C47—21no—
729C2×C4×C47—21no—
730C2×C4×C47—21no—
731C2×C4×C47—21no—
732C2×C4×C47—21no—
733C2×C4×C47—21no—
734C2×C4×C47—21no—
735C2×C4×C47—21no—
736C2×C4×C47—21no—
737C2×C4×C47—21no—
738C2×C4×C47—21no—
739C2×C4×C47—21no—
740C2×C4×C47—21no—
741C2×C4×C47—44no—
742C2×C4×C47C22×D412yes—
743C2×C4×C47C22×D412yes—
744C2×C4×C47C22×D412yes—
745C2×C4×C47C2×#4112yes—
746C2×C4×C47C2×#4112yes—
747C2×C4×C47C2×#4112yes—
748C22⋊D47—44no—
749C22⋊D47—44no—
750C22⋊D47—44no—
751C22⋊D47—44no—
752C22⋊D47—44no—
753C22⋊D47—44no—
754C2×Dic47—21no—
755C2×Dic47—21no—
756C2×Dic47—21no—
757C2×Dic47—21no—
758C2×Dic47—21no—
759C2×Dic47—21no—
760C2×Dic47—21no—
761C2×Dic47—21no—
762C2×Dic47—21no—
763C2×Dic47—21no—
764C2×Dic47—21no—
765C2×Dic47—21no—
766C2×Dic47—21no—
767C2×Dic47—21no—
768C2×Dic47—21no—
769C2×Dic47—21no—
770C2×Dic47—21no—
771C2×Dic47—21no—
772C2×Dic47—21no—
773C2×Dic47—21no—
774C2×Dic47—21no—
775C2×Dic47—21no—
776C2×Dic47—21no—
777C2×Dic47—21no—
778C2×Dic47—21no—
779C2×Dic47—21no—
780C2×Dic47—21no—
781C2×Dic47—21no—
782C2×Dic47—21no—
783C2×Dic47—21no—
784C2×Dic47—44no—
785C2×Dic47C22×D412yes—
786C2×Dic47C22×D412yes—
787C2×Dic47C22×D412yes—
788C2×Dic47C2×#4112yes—
789C2×Dic47C2×#4112yes—
790C2×Dic47C2×#4112yes—
791D188—44no—
792D188—44no—
793D188—44no—
794C4×D47—28no—
795C4×D47—28no—
796C4×D47—28no—
797C4×D47—28no—
798C4×D47—28no—
799C4×D47—28no—
800C4×D47—44no—
801C4×D47—44no—
802C4×D47—44no—
803C4×D47—44no—
804C4×D47—44no—
805C4×D47—44no—
806C4×D47—44no—
807C4×D47—44no—
808C2×#2554—471nomaximal, Sylow
809C22×C47—22no—
810C22×C47—22no—
811C22×C47—22no—
812C22×C47—41no—
813C22×C47—41no—
814C22×C47—41no—
815C22×C47—41no—
816C22×C47—41no—
817C22×C47—41no—
818C22×C47—41no—
819C22×C47—41no—
820C22×C47—41no—
821C22×C47—41no—
822C22×C47—41no—
823C22×C47—41no—
824C22×C47—41no—
825C22×C47—41no—
826C22×C47—41no—
827C22×C47—41no—
828C22×C47—41no—
829C22×C47—41no—
830C22×C47C23×D411yescharacteristic
831C22×C47C22×#4111yescharacteristic
832C22×C47C22×#4111yescharacteristic
833C22×C47C22×#4111yescharacteristic
834C22×C47C22×#4111yescharacteristic
835C22×C47C2×H(5,𝔽2)11yescharacteristic
836C22×C47C2×H(5,𝔽2)11yescharacteristic
837C2×D47—22no—
838C2×D47—22no—
839C2×D47—22no—
840C2×D47—41no—
841C2×D47—41no—
842C2×D47—41no—
843C2×D47—41no—
844C2×D47—416no—
845C2×D47—41no—
846C2×D47—41no—
847C2×D47—41no—
848C2×D47—41no—
849C2×D47—41no—
850C2×D47—41no—
851C2×D47—41no—
852C2×D47—41no—
853C2×D47—41no—
854C2×D47—41no—
855C2×D47—41no—
856C2×D47—41no—
857C2×D47—41no—
858C2×D47—41no—
859C2×D47—88no—
860C2×D47—88no—
861C2×D47#52914yes—
862C2×D47#53214yes—
863C2×D47#53814yes—
864C2×D47#54614yes—
865C2×D47#55014yes—
866C2×D47#55114yes—
867C2×D47#55314yes—
868C4×C47—22no—
869C4×C47—22no—
870C4×C47—22no—
871C4×C47—22no—
872C4×C47—22no—
873C4×C47—22no—
874C4×C47—41no—
875C4×C47—41no—
876C4×C47—41no—
877C4×C47—41no—
878C4×C47—41no—
879C4×C47—41no—
880Dic47—22no—
881Dic47—22no—
882Dic47—22no—
883Dic47—22no—
884Dic47—22no—
885Dic47—22no—
886Dic47—41no—
887Dic47—41no—
888Dic47—41no—
889Dic47—41no—
890Dic47—41no—
891Dic47—41no—
892C22×#126—471no—
893C22×#123—471no—
894#2554—471no—
895#2554—471no—
896#2554—471no—
897#2554—471no—
898#2554—471no—
899#2554—471no—
900#2554—471no—
901#2554—471no—
902#2554—471no—
903#2554—471no—
904#2554—471no—
905#2554—471no—
906#2554—471no—
907#2554—471no—
908#2554—471no—
909#2554D4711yescharacteristic, direct product factor
910C2×#398—471no—
911C2×#396—471no—
912C2×#394—471no—
913C2×#392—471no—
914C2×#390—471no—
915C2×#390—471no—
916C2×#390—471no—
917C2×#388—471no—
918C2×#388—471no—
919C2×#388—471no—
920C2×#386—471no—
921C2×C4×C4⋊C4—471no—
922C2×C4×C22⋊C4—471no—
923C2×C47—42no—
924C2×C47—81no—
925C2×C47—81no—
926C2×C47C2×#52911yescharacteristic
927C2×C47C2×#53211yescharacteristic
928C2×C47C2×#53811yescharacteristic
929C2×C47C2×#54611yescharacteristic
930C2×C47C2×#55011yescharacteristic
931C2×C47C2×#55111yescharacteristic
932C2×C47C2×#55311yescharacteristic
933D47—42no—
934D47—81no—
935D47—81no—
936D47#255418yesdirect product factor
937C23×D4—471no—
938C23×D4—471no—
939C23×D4—471no—
940C24×C4—471no—
941C2×#126—471no—
942C2×#126—471no—
943C2×#126—471no—
944C2×#126—471no—
945C2×#126—471no—
946C2×#126—471no—
947C2×#126—471no—
948C2×#126—948no—
949C2×#126C2×D4711yescharacteristic, complemented
950C2×#123—471no—
951C2×#123—471no—
952C2×#123—471no—
953C2×#123—471no—
954C2×#123—471no—
955C2×#123—471no—
956C2×#123—471no—
957C2×#123—948no—
958C2×#123C2×D4711yescharacteristic, complemented
959C22×C4⋊C4—471no—
960C22×C4⋊C4—471no—
961C22×C4⋊C4—471no—
962C22×C4⋊C4—471no—
963C22×C4⋊C4—471no—
964C22×C4⋊C4—471no—
965C22×C4⋊C4—471no—
966C22×C22⋊C4—471no—
967C22×C22⋊C4—471no—
968C22×C22⋊C4—471no—
969C22×C22⋊C4—471no—
970C22×C22⋊C4—471no—
971C22×C22⋊C4—471no—
972C22×C22⋊C4—471no—
973C22×C22⋊C4—471no—
974C22×C22⋊C4—471no—
975C22×C22⋊C4—471no—
976C22×C22⋊C4—471no—
977C22×C22⋊C4—471no—
978C22×C22⋊C4—471no—
979C22×C22⋊C4—471no—
980C22×C42—471no—
981C22×C42—471no—
982C22×C42—471no—
983C22×C42—471no—
984#398—471no—
985#398—471no—
986#398—471no—
987#398—471no—
988#398—471no—
989#398—471no—
990#398—471no—
991#398C2×D4711yescharacteristic, complemented
992#396—471no—
993#396—471no—
994#396—471no—
995#396—471no—
996#396—471no—
997#396—471no—
998#396—471no—
999#396C2×D4711yescharacteristic, complemented
1000#394—471no—
1001#394—471no—
1002#394—471no—
1003#394—471no—
1004#394—471no—
1005#394—471no—
1006#394—471no—
1007#394C2×D4711yescharacteristic, complemented
1008#392—471no—
1009#392—471no—
1010#392—471no—
1011#392—471no—
1012#392—471no—
1013#392—471no—
1014#392—471no—
1015#392C2×D4711yescharacteristic
1016#390—471no—
1017#390—471no—
1018#390—471no—
1019#390—471no—
1020#390—471no—
1021#390—471no—
1022#390—471no—
1023#390—471no—
1024#390—471no—
1025#390—471no—
1026#390—471no—
1027#390—471no—
1028#390—471no—
1029#390—471no—
1030#390—471no—
1031#390—471no—
1032#390—471no—
1033#390—471no—
1034#390—471no—
1035#390—471no—
1036#390—471no—
1037#390C2×D4711yescharacteristic, complemented
1038#390C2×D4711yescharacteristic, complemented
1039#390C2×D4711yescharacteristic, complemented
1040#388—471no—
1041#388—471no—
1042#388—471no—
1043#388—471no—
1044#388—471no—
1045#388—471no—
1046#388—471no—
1047#388—471no—
1048#388—471no—
1049#388—471no—
1050#388—471no—
1051#388—471no—
1052#388—471no—
1053#388—471no—
1054#388—471no—
1055#388—471no—
1056#388—471no—
1057#388—471no—
1058#388—471no—
1059#388—471no—
1060#388—471no—
1061#388C2×D4711yescharacteristic, complemented
1062#388C2×D4711yescharacteristic, complemented
1063#388C2×D4711yescharacteristic, complemented
1064#386—471no—
1065#386—471no—
1066#386—471no—
1067#386—471no—
1068#386—471no—
1069#386—471no—
1070#386—471no—
1071#386C2×D4711yescharacteristic, complemented
1072C4×C4⋊C4—471no—
1073C4×C4⋊C4—471no—
1074C4×C4⋊C4—471no—
1075C4×C4⋊C4—471no—
1076C4×C4⋊C4—471no—
1077C4×C4⋊C4—471no—
1078C4×C4⋊C4—471no—
1079C4×C4⋊C4C2×D4711yescharacteristic, complemented
1080C4×C22⋊C4—471no—
1081C4×C22⋊C4—471no—
1082C4×C22⋊C4—471no—
1083C4×C22⋊C4—471no—
1084C4×C22⋊C4—471no—
1085C4×C22⋊C4—471no—
1086C4×C22⋊C4—471no—
1087C4×C22⋊C4C2×D4711yescharacteristic, complemented
1088C2×#95—471no—
1089C2×#95—471no—
1090C2×#95—471no—
1091C2×#95—471no—
1092C2×#95—471no—
1093C2×#95—471no—
1094C47C2×#255411yescharacteristic, complemented, Sylow
1095C25—471no—
1096C25—471no—
1097C25—471no—
1098C22×D4—471no—
1099C22×D4—471no—
1100C22×D4—471no—
1101C22×D4—471no—
1102C22×D4—471no—
1103C22×D4—471no—
1104C22×D4—471no—
1105C22×D4—471no—
1106C22×D4—471no—
1107C22×D4—944no—
1108C22×D4—944no—
1109C22×D4—944no—
1110C22×D4—944no—
1111C22×D4—944no—
1112C22×D4—1882no—
1113C22×D4—1882no—
1114C22×D4—1882no—
1115C22×D4—1882no—
1116C22×D4C22×D4711yescharacteristic
1117C22×D4C22×D4711yescharacteristic
1118C22×D4C22×D4711yescharacteristic
1119C23×C4—471no—
1120C23×C4—471no—
1121C23×C4—471no—
1122C23×C4—471no—
1123C23×C4—471no—
1124C23×C4—471no—
1125C23×C4—471no—
1126C23×C4—471no—
1127C23×C4—471no—
1128C23×C4—471no—
1129C23×C4—471no—
1130C23×C4—471no—
1131C23×C4—471no—
1132C23×C4—471no—
1133C23×C4—471no—
1134C23×C4—944no—
1135C23×C4—944no—
1136C23×C4—1882no—
1137C23×C4C22×D4711yescharacteristic
1138#126—24no—
1139#126—944no—
1140#126—944no—
1141#126—944no—
1142#126—944no—
1143#126—944no—
1144#126—944no—
1145#126—944no—
1146#123—24no—
1147#123—944no—
1148#123—944no—
1149#123—944no—
1150#123—944no—
1151#123—944no—
1152#123—944no—
1153#123—944no—
1154C2×C4⋊C4—471no—
1155C2×C4⋊C4—471no—
1156C2×C4⋊C4—471no—
1157C2×C4⋊C4—478no—
1158C2×C4⋊C4—471no—
1159C2×C4⋊C4—471no—
1160C2×C4⋊C4—471no—
1161C2×C4⋊C4—471no—
1162C2×C4⋊C4—471no—
1163C2×C4⋊C4—471no—
1164C2×C4⋊C4—471no—
1165C2×C4⋊C4—471no—
1166C2×C4⋊C4—471no—
1167C2×C4⋊C4—471no—
1168C2×C4⋊C4—471no—
1169C2×C4⋊C4—471no—
1170C2×C4⋊C4—471no—
1171C2×C4⋊C4—471no—
1172C2×C4⋊C4—471no—
1173C2×C4⋊C4—471no—
1174C2×C4⋊C4—471no—
1175C2×C4⋊C4—471no—
1176C2×C4⋊C4—944no—
1177C2×C4⋊C4—944no—
1178C2×C4⋊C4—944no—
1179C2×C4⋊C4—944no—
1180C2×C4⋊C4—1882no—
1181C2×C4⋊C4—1882no—
1182C2×C4⋊C4C22×D4711yescharacteristic
1183C2×C4⋊C4C22×D4711yescharacteristic
1184C2×C4⋊C4C22×D4711yescharacteristic
1185C2×C4⋊C4C22×D4711yescharacteristic
1186C2×C4⋊C4C22×D4711yescharacteristic
1187C2×C4⋊C4C22×D4711yescharacteristic
1188C2×C4⋊C4C22×D4711yescharacteristic
1189C2×C22⋊C4—471no—
1190C2×C22⋊C4—471no—
1191C2×C22⋊C4—471no—
1192C2×C22⋊C4—471no—
1193C2×C22⋊C4—471no—
1194C2×C22⋊C4—471no—
1195C2×C22⋊C4—471no—
1196C2×C22⋊C4—471no—
1197C2×C22⋊C4—471no—
1198C2×C22⋊C4—471no—
1199C2×C22⋊C4—471no—
1200C2×C22⋊C4—471no—
1201C2×C22⋊C4—471no—
1202C2×C22⋊C4—471no—
1203C2×C22⋊C4—471no—
1204C2×C22⋊C4—471no—
1205C2×C22⋊C4—471no—
1206C2×C22⋊C4—471no—
1207C2×C22⋊C4—471no—
1208C2×C22⋊C4—471no—
1209C2×C22⋊C4—471no—
1210C2×C22⋊C4—471no—
1211C2×C22⋊C4—471no—
1212C2×C22⋊C4—471no—
1213C2×C22⋊C4—471no—
1214C2×C22⋊C4—471no—
1215C2×C22⋊C4—471no—
1216C2×C22⋊C4—471no—
1217C2×C22⋊C4—471no—
1218C2×C22⋊C4—471no—
1219C2×C22⋊C4—471no—
1220C2×C22⋊C4—471no—
1221C2×C22⋊C4—471no—
1222C2×C22⋊C4—471no—
1223C2×C22⋊C4—471no—
1224C2×C22⋊C4—471no—
1225C2×C22⋊C4—471no—
1226C2×C22⋊C4—471no—
1227C2×C22⋊C4—471no—
1228C2×C22⋊C4—471no—
1229C2×C22⋊C4—471no—
1230C2×C22⋊C4—471no—
1231C2×C22⋊C4—944no—
1232C2×C22⋊C4—944no—
1233C2×C22⋊C4—944no—
1234C2×C22⋊C4—944no—
1235C2×C22⋊C4—944no—
1236C2×C22⋊C4—944no—
1237C2×C22⋊C4—944no—
1238C2×C22⋊C4—944no—
1239C2×C22⋊C4—944no—
1240C2×C22⋊C4—944no—
1241C2×C22⋊C4—944no—
1242C2×C22⋊C4—1882no—
1243C2×C22⋊C4—1882no—
1244C2×C22⋊C4—1882no—
1245C2×C22⋊C4C22×D4711yescharacteristic
1246C2×C22⋊C4C22×D4711yescharacteristic
1247C2×C22⋊C4C22×D4711yescharacteristic
1248C2×C22⋊C4C22×D4711yescharacteristic
1249C2×C22⋊C4C22×D4711yescharacteristic
1250C2×C22⋊C4C22×D4711yescharacteristic
1251C2×C22⋊C4C22×D4711yescharacteristic
1252C2×C22⋊C4C22×D4711yescharacteristic
1253C2×C22⋊C4C22×D4711yescharacteristic
1254C2×C22⋊C4C22×D4711yescharacteristic
1255C2×C22⋊C4C22×D4711yescharacteristic
1256C2×C22⋊C4C22×D4711yescharacteristic
1257C2×C22⋊C4C22×D4711yescharacteristic
1258C2×C22⋊C4C22×D4711yescharacteristic
1259C2×C42—471no—
1260C2×C42—471no—
1261C2×C42—471no—
1262C2×C42—471no—
1263C2×C42—471no—
1264C2×C42—471no—
1265C2×C42—471no—
1266C2×C42—471no—
1267C2×C42—471no—
1268C2×C42—471no—
1269C2×C42—471no—
1270C2×C42—471no—
1271C2×C42—944no—
1272C2×C42—944no—
1273C2×C42—1882no—
1274C2×C42—1882no—
1275C2×C42C22×D4711yescharacteristic
1276C2×C42C22×D4711yescharacteristic
1277C2×C42C22×D4711yescharacteristic
1278C2×C42C22×D4711yescharacteristic
1279#95—471no—
1280#95—471no—
1281#95—471no—
1282#95—471no—
1283#95—471no—
1284#95—471no—
1285#95—471no—
1286#95—471no—
1287#95—471no—
1288#95—471no—
1289#95—471no—
1290#95—471no—
1291#95—471no—
1292#95—471no—
1293#95—471no—
1294#95—471no—
1295#95—471no—
1296#95—471no—
1297#95C22×D4711yescharacteristic
1298#95C22×D4711yescharacteristic
1299#95C22×D4711yescharacteristic
1300#95C22×D4711yescharacteristic
1301#95C22×D4711yescharacteristic
1302#95C22×D4711yescharacteristic
1303C24—471no—
1304C24—474no—
1305C24—471no—
1306C24—471no—
1307C24—471no—
1308C24—942no—
1309C24—942no—
1310C24—942no—
1311C24—942no—
1312C24—942no—
1313C24—942no—
1314C24—942no—
1315C24—942no—
1316C24—942no—
1317C24—942no—
1318C24—942no—
1319C24—942no—
1320C24—942no—
1321C24—942no—
1322C24—942no—
1323C24—942no—
1324C24—942no—
1325C24—942no—
1326C24—942no—
1327C24—942no—
1328C24C23×D4711yescharacteristic
1329C24C23×D4711yescharacteristic
1330C24C23×D4711yescharacteristic
1331C2×D4—22no—
1332C2×D4—22no—
1333C2×D4—22no—
1334C2×D4—22no—
1335C2×D4—22no—
1336C2×D4—41no—
1337C2×D4—41no—
1338C2×D4—41no—
1339C2×D4—41no—
1340C2×D4—942no—
1341C2×D4—942no—
1342C2×D4—942no—
1343C2×D4—942no—
1344C2×D4—942no—
1345C2×D4—942no—
1346C2×D4—942no—
1347C2×D4—942no—
1348C2×D4—942no—
1349C2×D4—942no—
1350C2×D4—942no—
1351C2×D4—942no—
1352C2×D4—942no—
1353C2×D4—942no—
1354C2×D4—942no—
1355C2×D4—1881no—
1356C2×D4—1881no—
1357C2×D4—1881no—
1358C2×D4—1881no—
1359C2×D4—18816no—
1360C2×D4—18816no—
1361C2×D4—18816no—
1362C2×D4—1881no—
1363C2×D4—1881no—
1364C2×D4—1881no—
1365C2×D4—1881no—
1366C2×D4—1881no—
1367C2×D4—1881no—
1368C2×D4—1881no—
1369C2×D4—1881no—
1370C22×C4—22no—
1371C22×C4—22no—
1372C22×C4—41no—
1373C22×C4—471no—
1374C22×C4—471no—
1375C22×C4—471no—
1376C22×C4—471no—
1377C22×C4—471no—
1378C22×C4—471no—
1379C22×C4—474no—
1380C22×C4—474no—
1381C22×C4—474no—
1382C22×C4—474no—
1383C22×C4—474no—
1384C22×C4—474no—
1385C22×C4—471no—
1386C22×C4—471no—
1387C22×C4—471no—
1388C22×C4—471no—
1389C22×C4—471no—
1390C22×C4—471no—
1391C22×C4—942no—
1392C22×C4—942no—
1393C22×C4—942no—
1394C22×C4—942no—
1395C22×C4—942no—
1396C22×C4—942no—
1397C22×C4—942no—
1398C22×C4—942no—
1399C22×C4—942no—
1400C22×C4—942no—
1401C22×C4—942no—
1402C22×C4—942no—
1403C22×C4—942no—
1404C22×C4—942no—
1405C22×C4—942no—
1406C22×C4—942no—
1407C22×C4—942no—
1408C22×C4—942no—
1409C22×C4—942no—
1410C22×C4—942no—
1411C22×C4—942no—
1412C22×C4—942no—
1413C22×C4—942no—
1414C22×C4—942no—
1415C22×C4—942no—
1416C22×C4—942no—
1417C22×C4—942no—
1418C22×C4—942no—
1419C22×C4—942no—
1420C22×C4—942no—
1421C22×C4—942no—
1422C22×C4—942no—
1423C22×C4—942no—
1424C22×C4—942no—
1425C22×C4—942no—
1426C22×C4—942no—
1427C22×C4—1881no—
1428C22×C4—1881no—
1429C22×C4—18816no—
1430C22×C4—1881no—
1431C22×C4C23×D4711yescharacteristic
1432C22×C4C23×D4711yescharacteristic
1433C22×C4C23×D4711yescharacteristic
1434C22×C4C23×D4711yescharacteristic
1435C22×C4C23×D4711yescharacteristic
1436C22×C4C23×D4711yescharacteristic
1437C22×C4C23×D4711yescharacteristic
1438C22×C4C23×D4711yescharacteristic
1439C22×C4C23×D4711yescharacteristic
1440C22×C4C23×D4711yescharacteristic
1441C22×C4C23×D4711yescharacteristic
1442C22×C4C23×D4711yescharacteristic
1443C4⋊C4—22no—
1444C4⋊C4—22no—
1445C4⋊C4—22no—
1446C4⋊C4—22no—
1447C4⋊C4—41no—
1448C4⋊C4—41no—
1449C4⋊C4—474no—
1450C4⋊C4—474no—
1451C4⋊C4—474no—
1452C4⋊C4—942no—
1453C4⋊C4—942no—
1454C4⋊C4—942no—
1455C4⋊C4—942no—
1456C4⋊C4—942no—
1457C4⋊C4—942no—
1458C4⋊C4—942no—
1459C4⋊C4—942no—
1460C4⋊C4—942no—
1461C4⋊C4—942no—
1462C4⋊C4—942no—
1463C4⋊C4—942no—
1464C4⋊C4—1881no—
1465C4⋊C4—1881no—
1466C4⋊C4—1881no—
1467C4⋊C4—1881no—
1468C4⋊C4—1881no—
1469C4⋊C4—1881no—
1470C4⋊C4D4×D4714yescomplemented
1471C22⋊C4—22no—
1472C22⋊C4—22no—
1473C22⋊C4—22no—
1474C22⋊C4—22no—
1475C22⋊C4—22no—
1476C22⋊C4—22no—
1477C22⋊C4—22no—
1478C22⋊C4—22no—
1479C22⋊C4—22no—
1480C22⋊C4—22no—
1481C22⋊C4—22no—
1482C22⋊C4—41no—
1483C22⋊C4—41no—
1484C22⋊C4—41no—
1485C22⋊C4—942no—
1486C22⋊C4—942no—
1487C22⋊C4—942no—
1488C22⋊C4—942no—
1489C22⋊C4—942no—
1490C22⋊C4—942no—
1491C22⋊C4—942no—
1492C22⋊C4—942no—
1493C22⋊C4—942no—
1494C22⋊C4—942no—
1495C22⋊C4—942no—
1496C22⋊C4—942no—
1497C22⋊C4—942no—
1498C22⋊C4—942no—
1499C22⋊C4—942no—
1500C22⋊C4—942no—
1501C22⋊C4—942no—
1502C22⋊C4—942no—
1503C22⋊C4—942no—
1504C22⋊C4—942no—
1505C22⋊C4—942no—
1506C22⋊C4—942no—
1507C22⋊C4—942no—
1508C22⋊C4—942no—
1509C22⋊C4—942no—
1510C22⋊C4—942no—
1511C22⋊C4—942no—
1512C22⋊C4—942no—
1513C22⋊C4—942no—
1514C22⋊C4—942no—
1515C22⋊C4—942no—
1516C22⋊C4—942no—
1517C22⋊C4—942no—
1518C22⋊C4—1881no—
1519C22⋊C4—1881no—
1520C22⋊C4—1881no—
1521C22⋊C4—1881no—
1522C22⋊C4—1881no—
1523C22⋊C4—1881no—
1524C22⋊C4—1881no—
1525C22⋊C4—1881no—
1526C22⋊C4—1881no—
1527C42—22no—
1528C42—22no—
1529C42—41no—
1530C42—41no—
1531C42—942no—
1532C42—942no—
1533C42—942no—
1534C42—942no—
1535C42—942no—
1536C42—942no—
1537C42—1881no—
1538C42—1881no—
1539C42—1881no—
1540C42—1881no—
1541C42—1881no—
1542C42—1881no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—472no—
1564C23—472no—
1565C23—472no—
1566C23—472no—
1567C23—472no—
1568C23—472no—
1569C23—472no—
1570C23—472no—
1571C23—948no—
1572C23—948no—
1573C23—948no—
1574C23—941no—
1575C23—941no—
1576C23—941no—
1577C23—941no—
1578C23—941no—
1579C23—941no—
1580C23—941no—
1581C23—941no—
1582C23—941no—
1583C23—941no—
1584C23—941no—
1585C23—941no—
1586C23—941no—
1587C23—941no—
1588C23—941no—
1589C23—941no—
1590C23—941no—
1591C23—941no—
1592C23—941no—
1593C23—941no—
1594C23—1884no—
1595C23—1884no—
1596C23—1884no—
1597C23—1884no—
1598C23—1884no—
1599C23—1884no—
1600C23—1884no—
1601C23—1884no—
1602C23—1884no—
1603C23—1884no—
1604C23—1884no—
1605C23—1884no—
1606C23—1884no—
1607C23—1884no—
1608C23—1884no—
1609C23—1884no—
1610C23—1884no—
1611C23—1884no—
1612C23#41×D4712yes—
1613C23C24×D4711yescharacteristic
1614D4—44no—
1615D4—44no—
1616D4—44no—
1617D4—1884no—
1618D4—1884no—
1619D4—1884no—
1620D4—1884no—
1621D4—1884no—
1622D4—1884no—
1623D4—1884no—
1624D4—1884no—
1625D4—1884no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—44no—
1657C2×C4—472no—
1658C2×C4—472no—
1659C2×C4—472no—
1660C2×C4—472no—
1661C2×C4—472no—
1662C2×C4—472no—
1663C2×C4—948no—
1664C2×C4—948no—
1665C2×C4—948no—
1666C2×C4—948no—
1667C2×C4—948no—
1668C2×C4—948no—
1669C2×C4—941no—
1670C2×C4—941no—
1671C2×C4—941no—
1672C2×C4—941no—
1673C2×C4—941no—
1674C2×C4—941no—
1675C2×C4—941no—
1676C2×C4—941no—
1677C2×C4—941no—
1678C2×C4—941no—
1679C2×C4—941no—
1680C2×C4—941no—
1681C2×C4—941no—
1682C2×C4—941no—
1683C2×C4—941no—
1684C2×C4—941no—
1685C2×C4—941no—
1686C2×C4—941no—
1687C2×C4—941no—
1688C2×C4—941no—
1689C2×C4—941no—
1690C2×C4—941no—
1691C2×C4—941no—
1692C2×C4—941no—
1693C2×C4—941no—
1694C2×C4—941no—
1695C2×C4—941no—
1696C2×C4—941no—
1697C2×C4—941no—
1698C2×C4—941no—
1699C2×C4—1884no—
1700C2×C4—1884no—
1701C2×C4—1884no—
1702C2×C4—1884no—
1703C2×C4—1884no—
1704C2×C4—1884no—
1705C2×C4—1884no—
1706C2×C4—1884no—
1707C2×C4—1884no—
1708C2×C4C2×D4×D4712yes—
1709C2×C4C2×D4×D4712yes—
1710C2×C4C2×D4×D4712yes—
1711C2×C4#41×D4712yes—
1712C2×C4#41×D4712yes—
1713C2×C4#41×D4712yes—
1714C22—22no—
1715C22—22no—
1716C22—22no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—474no—
1736C22—474no—
1737C22—474no—
1738C22—474no—
1739C22—474no—
1740C22—474no—
1741C22—474no—
1742C22—942no—
1743C22—942no—
1744C22—942no—
1745C22—3768no—
1746C22—3768no—
1747C22—18816no—
1748C22—1881no—
1749C22—1881no—
1750C22—1881no—
1751C22—1881no—
1752C22—1881no—
1753C22—1881no—
1754C22—1881no—
1755C22—1881no—
1756C22—1881no—
1757C22—1881no—
1758C22—1881no—
1759C22—1881no—
1760C22—1881no—
1761C22—1881no—
1762C22—1881no—
1763C22—1881no—
1764C22—1881no—
1765C22—1881no—
1766C22C22×D4×D4711yescharacteristic
1767C22C2×#41×D4711yescharacteristic
1768C22C2×#41×D4711yescharacteristic
1769C22C2×#41×D4711yescharacteristic
1770C22C2×#41×D4711yescharacteristic
1771C22H(5,𝔽2)×D4711yescharacteristic
1772C22H(5,𝔽2)×D4711yescharacteristic
1773C4—22no—
1774C4—22no—
1775C4—22no—
1776C4—22no—
1777C4—22no—
1778C4—22no—
1779C4—41no—
1780C4—41no—
1781C4—41no—
1782C4—41no—
1783C4—41no—
1784C4—41no—
1785C4—942no—
1786C4—942no—
1787C4—942no—
1788C4—942no—
1789C4—942no—
1790C4—942no—
1791C4—1881no—
1792C4—1881no—
1793C4—1881no—
1794C4—1881no—
1795C4—1881no—
1796C4—1881no—
1797C2—42no—
1798C2—81no—
1799C2—81no—
1800C2—478no—
1801C2—3761no—
1802C2—3761no—
1803C2—1882no—
1804C2#529×D4711yescharacteristic
1805C2#532×D4711yescharacteristic
1806C2#538×D4711yescharacteristic
1807C2#546×D4711yescharacteristic
1808C2#550×D4711yescharacteristic
1809C2#551×D4711yescharacteristic
1810C2#553×D4711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2554C2
prime radical#392×D47C2
hypercenter#2554D47
hypocenterC47C2×#2554
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2554

Complements

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

NH ≅ G/Ntype
1. C2×#126×D47C2semidirect
2. C2×#123×D47C2semidirect
3. #20248455C2semidirect
4. #20248454C2semidirect
5. #20248453C2semidirect
6. #20248452C2semidirect
7. #20248451C2semidirect
8. #20248450C2semidirect
9. #20248449C2semidirect
10. #20248448C2semidirect
11. #20248447C2semidirect
12. #20248446C2semidirect
13. #20248445C2semidirect
14. #20248444C2semidirect
15. #20248443C2semidirect
16. #20248442C2semidirect
17. #20248441C2semidirect
18. #398×D47C2semidirect
19. #396×D47C2semidirect
20. #394×D47C2semidirect
22. #390×D47C2semidirect
23. #390×D47C2semidirect
24. #390×D47C2semidirect
25. #388×D47C2semidirect
26. #388×D47C2semidirect
27. #388×D47C2semidirect
28. #386×D47C2semidirect
29. C4×C4⋊C4×D47C2semidirect
30. C4×C22⋊C4×D47C2semidirect
31. C47×#2554C2semidirect
36. C2×#13094019C22semidirect
37. C2×#13094019C22semidirect
38. C2×#13094019C22semidirect
39. C2×#13094018C22semidirect
40. C2×#13094017C22semidirect
41. C2×#13094017C22semidirect
42. C2×#13094017C22semidirect
44. C2×#13094009C22semidirect
45. C2×#13094009C22semidirect
46. C2×#13094008C22semidirect
47. C2×#13094007C22semidirect
48. C2×#13094006C22semidirect
49. C2×#13094006C22semidirect
50. C2×#13094005C22semidirect
77. #15689057C22semidirect
78. #15689057C22semidirect
79. #15689056C22semidirect
80. #15689056C22semidirect
81. #15689055C22semidirect
82. #15689054C22semidirect
83. #15689053C22semidirect
84. #15689047C22semidirect
85. #15689046C22semidirect
86. #15689046C22semidirect
87. #15689046C22semidirect
88. #15689045C22semidirect
89. #15689045C22semidirect
90. #15689045C22semidirect
91. #15689041C22semidirect
92. #15689040C22semidirect
93. #15689039C22semidirect
94. #15689039C22semidirect
95. #15689038C22semidirect
96. #15689038C22semidirect
97. #15689037C22semidirect
105. #15689026C22semidirect
106. #15689026C22semidirect
107. #15689026C22semidirect
108. #15689025C22semidirect
109. #15689025C22semidirect
110. #15689025C22semidirect
111. #15689024C22semidirect
112. #15689024C22semidirect
113. #15689024C22semidirect
114. #15689023C22semidirect
115. #15689023C22semidirect
116. #15689023C22semidirect
117. #15689023C22semidirect
118. #15689023C22semidirect
119. #15689023C22semidirect
120. #15689023C22semidirect
121. #15689023C22semidirect
122. #15689023C22semidirect
123. #15689023C22semidirect
124. #15689023C22semidirect
125. #15689023C22semidirect
126. #15689017C22semidirect
127. #15689017C22semidirect
128. #15689017C22semidirect
129. #15689016C22semidirect
130. #15689016C22semidirect
131. #15689016C22semidirect
132. #15689015C22semidirect
133. #15689015C22semidirect
134. #15689015C22semidirect
135. #15689014C22semidirect
136. #15689014C22semidirect
137. #15689014C22semidirect
138. #15689013C22semidirect
139. #15689013C22semidirect
140. #15689013C22semidirect
141. #15689012C22semidirect
142. #15689012C22semidirect
143. #15689012C22semidirect
144. #15689011C22semidirect
145. #15689011C22semidirect
146. #15689011C22semidirect
147. #15689003C22semidirect
148. #15689002C22semidirect
149. #15689001C22semidirect
150. #15689001C22semidirect
151. #15689000C22semidirect
152. #15688999C22semidirect
153. #15688999C22semidirect
154. C4⋊C4×Dic47C22semidirect
155. C4⋊C4×Dic47C22semidirect
156. C4×Dic47⋊C4C22semidirect
157. C4×Dic47⋊C4C22semidirect
158. C4×C4⋊Dic47C22semidirect
159. #15688974C22semidirect
160. #15688974C22semidirect
161. C22⋊C4×Dic47C22semidirect
162. C22⋊C4×Dic47C22semidirect
163. C4×(C2×D47)⋊C4C22semidirect
164. C4×(C2×D47)⋊C4C22semidirect
165. C4×C22⋊Dic47C22semidirect
166. #15688970C22semidirect
167. #15688970C22semidirect
174. C2×#126×C47C22semidirect
175. C2×#123×C47C22semidirect
176. C47×#398C22semidirect
177. C47×#396C22semidirect
178. C47×#394C22semidirect
180. C47×#390C22semidirect
181. C47×#390C22semidirect
182. C47×#390C22semidirect
183. C47×#388C22semidirect
184. C47×#388C22semidirect
185. C47×#388C22semidirect
186. C47×#386C22semidirect
187. C4×C4⋊C4×C47C22semidirect
188. C4×C22⋊C4×C47C22semidirect
269. C4⋊C4×D47D4semidirect
543. C4⋊C4×C47C2×D4semidirect
610. C4⋊Dic47C2×D4semidirect
623. Dic47⋊C4C2×D4semidirect
624. Dic47⋊C4C2×D4semidirect
909. #2554D47direct (N × H)
936. D47#2554direct (N × H)
949. C2×#126C2×D47semidirect
958. C2×#123C2×D47semidirect
991. #398C2×D47semidirect
999. #396C2×D47semidirect
1007. #394C2×D47semidirect
1037. #390C2×D47semidirect
1038. #390C2×D47semidirect
1039. #390C2×D47semidirect
1061. #388C2×D47semidirect
1062. #388C2×D47semidirect
1063. #388C2×D47semidirect
1071. #386C2×D47semidirect
1079. C4×C4⋊C4C2×D47semidirect
1087. C4×C22⋊C4C2×D47semidirect
1094. C47C2×#2554semidirect
1470. C4⋊C4D4×D47semidirect

Maximal subgroups

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

subgroupindex
C2×#126×D472
C2×#123×D472
#202484552
#202484542
#202484532
#202484522
#202484512
#202484502
#202484492
#202484482
#202484472
#202484462
#202484452
#202484442
#202484432
#202484422
#202484412
#398×D472
#396×D472
#394×D472
#392×D472
#390×D472
#388×D472
#386×D472
C4×C4⋊C4×D472
C4×C22⋊C4×D472
C47×#25542
C2×#255447