Finite Group Databasebeta

← D47×#2648 #26382733

Subgroups — D47×#2648 #26382733

Order 12032.

2654 conjugacy classes of subgroups.

The subgroup lattice has 1736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20249383C211yesmaximal, characteristic, complemented
2#20249382C211yesmaximal, characteristic, complemented
3#20249381C211yesmaximal, characteristic, complemented
4#20249380C211yesmaximal, characteristic, complemented
5#20249379C211yesmaximal, characteristic, complemented
6#20249378C211yesmaximal, characteristic, complemented
7#20249377C211yesmaximal, characteristic, complemented
8#20249376C211yesmaximal, characteristic, complemented
9#20249375C211yesmaximal, characteristic, complemented
10#20249374C211yesmaximal, characteristic, complemented
11#20249373C211yesmaximal, characteristic, complemented
12#20249372C211yesmaximal, characteristic, complemented
13#20249371C211yesmaximal, characteristic, complemented
14#20249370C211yesmaximal, characteristic, complemented
15#20249369C211yesmaximal, characteristic, complemented
16#400×D47C211yesmaximal, characteristic, complemented
17#397×D47C211yesmaximal, characteristic, complemented
18#397×D47C211yesmaximal, characteristic, complemented
19#396×D47C211yesmaximal, characteristic, complemented
20#394×D47C211yesmaximal, characteristic, complemented
21#394×D47C211yesmaximal, characteristic, complemented
22#394×D47C211yesmaximal, characteristic, complemented
23#392×D47C211yesmaximal, characteristic
24#390×D47C211yesmaximal, characteristic, complemented
25#388×D47C211yesmaximal, characteristic, complemented
26#388×D47C211yesmaximal, characteristic, complemented
27#387×D47C211yesmaximal, characteristic, complemented
28#386×D47C211yesmaximal, characteristic, complemented
29#386×D47C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D47C211yesmaximal, characteristic, complemented
31C47×#2648C211yesmaximal, characteristic, complemented
32C22×D4×D47C2211yescharacteristic
33C22×D4×D47C2211yescharacteristic
34C22×D4×D47C2211yescharacteristic
35C23×C4×D47C2211yescharacteristic
36C2×C4⋊C4×D47C2211yescharacteristic
37C2×C4⋊C4×D47C2211yescharacteristic
38C2×C4⋊C4×D47C2211yescharacteristic
39C2×C4⋊C4×D47C2211yescharacteristic
40C2×C4⋊C4×D47C2211yescharacteristic
41C2×C22⋊C4×D47C2211yescharacteristic
42C2×C22⋊C4×D47C2211yescharacteristic
43C2×C22⋊C4×D47C2211yescharacteristic
44C2×C22⋊C4×D47C2211yescharacteristic
45C2×C22⋊C4×D47C2211yescharacteristic
46C2×C22⋊C4×D47C2211yescharacteristic
47C2×C22⋊C4×D47C2211yescharacteristic
48C2×C22⋊C4×D47C2211yescharacteristic
49C2×C22⋊C4×D47C2211yescharacteristic
50C2×C22⋊C4×D47C2211yescharacteristic
51C2×C22⋊C4×D47C2211yescharacteristic
52C2×C22⋊C4×D47C2211yescharacteristic
53C2×C22⋊C4×D47C2211yescharacteristic
54C2×C22⋊C4×D47C2211yescharacteristic
55C2×C42×D47C2211yescharacteristic
56C2×C42×D47C2211yescharacteristic
57#15689065C2211yescharacteristic, complemented
58#15689065C2211yescharacteristic, complemented
59#15689064C2211yescharacteristic, complemented
60#15689064C2211yescharacteristic, complemented
61#15689063C2211yescharacteristic, complemented
62#15689062C2211yescharacteristic, complemented
63#15689061C2211yescharacteristic, complemented
64#15689052C2211yescharacteristic, complemented
65#15689052C2211yescharacteristic, complemented
66#15689052C2211yescharacteristic, complemented
67#15689052C2211yescharacteristic, complemented
68#15689051C2211yescharacteristic, complemented
69#15689051C2211yescharacteristic, complemented
70#15689051C2211yescharacteristic, complemented
71#15689051C2211yescharacteristic, complemented
72#15689050C2211yescharacteristic, complemented
73#15689050C2211yescharacteristic, complemented
74#15689049C2211yescharacteristic, complemented
75#15689049C2211yescharacteristic, complemented
76#15689048C2211yescharacteristic, complemented
77#15689048C2211yescharacteristic, complemented
78#15689047C2211yescharacteristic, complemented
79#15689046C2211yescharacteristic, complemented
80#15689046C2211yescharacteristic, complemented
81#15689046C2211yescharacteristic, complemented
82#15689045C2211yescharacteristic, complemented
83#15689045C2211yescharacteristic, complemented
84#15689045C2211yescharacteristic, complemented
85#15689041C2211yescharacteristic, complemented
86#15689041C2211yescharacteristic, complemented
87#15689041C2211yescharacteristic, complemented
88#15689040C2211yescharacteristic, complemented
89#15689040C2211yescharacteristic, complemented
90#15689040C2211yescharacteristic, complemented
91#15689039C2211yescharacteristic, complemented
92#15689039C2211yescharacteristic, complemented
93#15689039C2211yescharacteristic, complemented
94#15689039C2211yescharacteristic, complemented
95#15689039C2211yescharacteristic, complemented
96#15689039C2211yescharacteristic, complemented
97#15689038C2211yescharacteristic, complemented
98#15689038C2211yescharacteristic, complemented
99#15689038C2211yescharacteristic, complemented
100#15689038C2211yescharacteristic, complemented
101#15689038C2211yescharacteristic, complemented
102#15689038C2211yescharacteristic, complemented
103#15689037C2211yescharacteristic, complemented
104#15689037C2211yescharacteristic, complemented
105#15689037C2211yescharacteristic, complemented
106#15689033C2211yescharacteristic
107#15689032C2211yescharacteristic
108#15689032C2211yescharacteristic
109#15689032C2211yescharacteristic
110#15689031C2211yescharacteristic
111#15689031C2211yescharacteristic
112#15689031C2211yescharacteristic
113#15689026C2211yescharacteristic, complemented
114#15689025C2211yescharacteristic, complemented
115#15689024C2211yescharacteristic, complemented
116#15689023C2211yescharacteristic, complemented
117#15689023C2211yescharacteristic, complemented
118#15689023C2211yescharacteristic, complemented
119#15689023C2211yescharacteristic, complemented
120#15689017C2211yescharacteristic, complemented
121#15689017C2211yescharacteristic, complemented
122#15689016C2211yescharacteristic, complemented
123#15689016C2211yescharacteristic, complemented
124#15689015C2211yescharacteristic, complemented
125#15689015C2211yescharacteristic, complemented
126#15689014C2211yescharacteristic, complemented
127#15689014C2211yescharacteristic, complemented
128#15689013C2211yescharacteristic, complemented
129#15689013C2211yescharacteristic, complemented
130#15689012C2211yescharacteristic, complemented
131#15689012C2211yescharacteristic, complemented
132#15689011C2211yescharacteristic, complemented
133#15689011C2211yescharacteristic, complemented
134#15689010C2211yescharacteristic, complemented
135#15689009C2211yescharacteristic, complemented
136#15689008C2211yescharacteristic, complemented
137#15689007C2211yescharacteristic, complemented
138#15689006C2211yescharacteristic, complemented
139#15689005C2211yescharacteristic, complemented
140#15689004C2211yescharacteristic, complemented
141#15689003C2211yescharacteristic, complemented
142#15689003C2211yescharacteristic, complemented
143#15689002C2211yescharacteristic, complemented
144#15689002C2211yescharacteristic, complemented
145#15689001C2211yescharacteristic, complemented
146#15689001C2211yescharacteristic, complemented
147#15689001C2211yescharacteristic, complemented
148#15689001C2211yescharacteristic, complemented
149#15689000C2211yescharacteristic, complemented
150#15689000C2211yescharacteristic, complemented
151#15688999C2211yescharacteristic, complemented
152#15688999C2211yescharacteristic, complemented
153#15688999C2211yescharacteristic, complemented
154#15688999C2211yescharacteristic, complemented
155C22⋊C4×Dic47C2211yescharacteristic, complemented
156C22⋊C4×Dic47C2211yescharacteristic, complemented
157C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
158C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
159C4×C22⋊Dic47C2211yescharacteristic, complemented
160#15688970C2211yescharacteristic, complemented
161#15688970C2211yescharacteristic, complemented
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
172C47×#400C2211yescharacteristic, complemented
173C47×#397C2211yescharacteristic, complemented
174C47×#397C2211yescharacteristic, complemented
175C47×#396C2211yescharacteristic, complemented
176C47×#394C2211yescharacteristic, complemented
177C47×#394C2211yescharacteristic, complemented
178C47×#394C2211yescharacteristic, complemented
179C47×#392C2211yescharacteristic
180C47×#390C2211yescharacteristic, complemented
181C47×#388C2211yescharacteristic, complemented
182C47×#388C2211yescharacteristic, complemented
183C47×#387C2211yescharacteristic, complemented
184C47×#386C2211yescharacteristic, complemented
185C47×#386C2211yescharacteristic, complemented
186C4×C22⋊C4×C47C2211yescharacteristic, complemented
187C24×D47C2311yescharacteristic
188C24×D47C2311yescharacteristic
189C24×D47C2311yescharacteristic
190C22×D188C2311yescharacteristic
191C22×D188C2311yescharacteristic
192C22×D188C2311yescharacteristic
193C22×C22⋊D47C2311yescharacteristic
194C22×C22⋊D47C2311yescharacteristic
195C22×C22⋊D47C2311yescharacteristic
196C22×C22⋊D47C2311yescharacteristic
197C22×C22⋊D47C2311yescharacteristic
198C22×C22⋊D47C2311yescharacteristic
199C2×D4×D47—24no—
200C2×D4×D47—24no—
201C2×D4×D47—24no—
202C2×D4×D47—42no—
203C2×D4×D47—42no—
204C2×D4×D47—42no—
205C2×D4×D47—42no—
206C2×D4×D47—42no—
207C2×D4×D47—42no—
208C23×Dic47C2311yescharacteristic
209C22×C4×D47—24no—
210C22×C4×D47—42no—
211C22×C4×D47—42no—
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
222C22×C4×D47C2311yescharacteristic
223C22×C4×D47C2311yescharacteristic
224C22×C4×D47C2311yescharacteristic
225C22×C4×D47C2311yescharacteristic
226C2×C4⋊Dic47C2311yescharacteristic
227C2×C4⋊Dic47C2311yescharacteristic
228C2×C4⋊Dic47C2311yescharacteristic
229C2×C4⋊Dic47C2311yescharacteristic
230C2×C4⋊Dic47C2311yescharacteristic
231C2×Dic47⋊C4C2311yescharacteristic
232C2×Dic47⋊C4C2311yescharacteristic
233C2×Dic47⋊C4C2311yescharacteristic
234C2×Dic47⋊C4C2311yescharacteristic
235C2×Dic47⋊C4C2311yescharacteristic
236C2×Dic47⋊C4C2311yescharacteristic
237C2×Dic47⋊C4C2311yescharacteristic
238C2×Dic47⋊C4C2311yescharacteristic
239C2×Dic47⋊C4C2311yescharacteristic
240C2×Dic47⋊C4C2311yescharacteristic
241C4⋊C4×D47—24no—
242C4⋊C4×D47—42no—
243C4⋊C4×D47—42no—
244C4⋊C4×D47—42no—
245C4⋊C4×D47—42no—
246C2×C22⋊Dic47C2311yescharacteristic
247C2×C22⋊Dic47C2311yescharacteristic
248C2×C22⋊Dic47C2311yescharacteristic
249C2×C22⋊Dic47C2311yescharacteristic
250C2×C22⋊Dic47C2311yescharacteristic
251C2×C22⋊Dic47C2311yescharacteristic
252C2×C22⋊Dic47C2311yescharacteristic
253C2×C22⋊Dic47C2311yescharacteristic
254C2×C22⋊Dic47C2311yescharacteristic
255C2×C22⋊Dic47C2311yescharacteristic
256C2×C22⋊Dic47C2311yescharacteristic
257C2×C22⋊Dic47C2311yescharacteristic
258C2×C22⋊Dic47C2311yescharacteristic
259C2×C22⋊Dic47C2311yescharacteristic
260C2×(C2×D47)⋊C4C2311yescharacteristic
261C2×(C2×D47)⋊C4C2311yescharacteristic
262C2×(C2×D47)⋊C4C2311yescharacteristic
263C2×(C2×D47)⋊C4C2311yescharacteristic
264C2×(C2×D47)⋊C4C2311yescharacteristic
265C2×(C2×D47)⋊C4C2311yescharacteristic
266C2×(C2×D47)⋊C4C2311yescharacteristic
267C2×(C2×D47)⋊C4C2311yescharacteristic
268C2×(C2×D47)⋊C4C2311yescharacteristic
269C2×(C2×D47)⋊C4C2311yescharacteristic
270C2×(C2×D47)⋊C4C2311yescharacteristic
271C2×(C2×D47)⋊C4C2311yescharacteristic
272C2×(C2×D47)⋊C4C2311yescharacteristic
273C2×(C2×D47)⋊C4C2311yescharacteristic
274C2×(C2×D47)⋊C4C2311yescharacteristic
275C2×(C2×D47)⋊C4C2311yescharacteristic
276C2×(C2×D47)⋊C4C2311yescharacteristic
277C2×(C2×D47)⋊C4C2311yescharacteristic
278C2×(C2×D47)⋊C4C2311yescharacteristic
279C2×(C2×D47)⋊C4C2311yescharacteristic
280C2×(C2×D47)⋊C4C2311yescharacteristic
281C2×(C2×D47)⋊C4C2311yescharacteristic
282C2×(C2×D47)⋊C4C2311yescharacteristic
283C2×(C2×D47)⋊C4C2311yescharacteristic
284C2×(C2×D47)⋊C4C2311yescharacteristic
285C2×(C2×D47)⋊C4C2311yescharacteristic
286C2×(C2×D47)⋊C4C2311yescharacteristic
287C2×(C2×D47)⋊C4C2311yescharacteristic
288C22⋊C4×D47—24no—
289C22⋊C4×D47—24no—
290C22⋊C4×D47—24no—
291C22⋊C4×D47—24no—
292C22⋊C4×D47—42no—
293C22⋊C4×D47—42no—
294C22⋊C4×D47—42no—
295C22⋊C4×D47—42no—
296C22⋊C4×D47—42no—
297C22⋊C4×D47—42no—
298C22⋊C4×D47—42no—
299C22⋊C4×D47—42no—
300C22⋊C4×D47—42no—
301C22⋊C4×D47—42no—
302C2×C4×Dic47C2311yescharacteristic
303C2×C4×Dic47C2311yescharacteristic
304C2×C4×Dic47C2311yescharacteristic
305C2×C4×Dic47C2311yescharacteristic
306C2×C4×Dic47C2311yescharacteristic
307C2×C4×Dic47C2311yescharacteristic
308C42×D47—42no—
309C42×D47—42no—
310C47⋊#95C2311yescharacteristic
311C47⋊#95C2311yescharacteristic
312C47⋊#95C2311yescharacteristic
313C47⋊#95C2311yescharacteristic
314C47⋊#95C2311yescharacteristic
315C47⋊#95C2311yescharacteristic
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
340C22×D4×C47C2311yescharacteristic
341C22×D4×C47C2311yescharacteristic
342C22×D4×C47C2311yescharacteristic
343C23×C4×C47C2311yescharacteristic
344C2×C4⋊C4×C47C2311yescharacteristic
345C2×C4⋊C4×C47C2311yescharacteristic
346C2×C4⋊C4×C47C2311yescharacteristic
347C2×C4⋊C4×C47C2311yescharacteristic
348C2×C4⋊C4×C47C2311yescharacteristic
349C2×C22⋊C4×C47C2311yescharacteristic
350C2×C22⋊C4×C47C2311yescharacteristic
351C2×C22⋊C4×C47C2311yescharacteristic
352C2×C22⋊C4×C47C2311yescharacteristic
353C2×C22⋊C4×C47C2311yescharacteristic
354C2×C22⋊C4×C47C2311yescharacteristic
355C2×C22⋊C4×C47C2311yescharacteristic
356C2×C22⋊C4×C47C2311yescharacteristic
357C2×C22⋊C4×C47C2311yescharacteristic
358C2×C22⋊C4×C47C2311yescharacteristic
359C2×C22⋊C4×C47C2311yescharacteristic
360C2×C22⋊C4×C47C2311yescharacteristic
361C2×C22⋊C4×C47C2311yescharacteristic
362C2×C22⋊C4×C47C2311yescharacteristic
363C2×C42×C47C2311yescharacteristic
364C2×C42×C47C2311yescharacteristic
365#95×C47C2311yescharacteristic
366#95×C47C2311yescharacteristic
367#95×C47C2311yescharacteristic
368#95×C47C2311yescharacteristic
369#95×C47C2311yescharacteristic
370#95×C47C2311yescharacteristic
371#95×C47C2311yescharacteristic
372#95×C47C2311yescharacteristic
373#95×C47C2311yescharacteristic
374#95×C47C2311yescharacteristic
375C24×C47C2411yescharacteristic
376C24×C47C2411yescharacteristic
377C24×C47C2411yescharacteristic
378C23×D47—22no—
379C23×D47—22no—
380C23×D47—22no—
381C23×D47—22no—
382C23×D47—22no—
383C23×D47—22no—
384C23×D47—22no—
385C23×D47—22no—
386C23×D47—22no—
387C23×D47—22no—
388C23×D47—22no—
389C23×D47—22no—
390C23×D47—22no—
391C23×D47—22no—
392C23×D47—22no—
393C23×D47—22no—
394C23×D47—22no—
395C23×D47—22no—
396C23×D47—22no—
397C23×D47—22no—
398C23×D47#4114yes—
399C23×D47C2411yescharacteristic
400C23×D47C2411yescharacteristic
401C23×D47C2411yescharacteristic
402C23×D47C2411yescharacteristic
403C2×D4×C47—22no—
404C2×D4×C47—22no—
405C2×D4×C47—22no—
406C2×D4×C47—41no—
407C2×D4×C47—41no—
408C2×D4×C47—41no—
409C2×D4×C47—41no—
410C2×D4×C47—41no—
411C2×D4×C47—41no—
412C22×C4×C47—22no—
413C22×C4×C47—41no—
414C22×C4×C47—41no—
415C22×C4×C47C2411yescharacteristic
416C22×C4×C47C2411yescharacteristic
417C22×C4×C47C2411yescharacteristic
418C22×C4×C47C2411yescharacteristic
419C22×C4×C47C2411yescharacteristic
420C22×C4×C47C2411yescharacteristic
421C22×C4×C47C2411yescharacteristic
422C22×C4×C47C2411yescharacteristic
423C22×C4×C47C2411yescharacteristic
424C22×C4×C47C2411yescharacteristic
425C22×C4×C47C2411yescharacteristic
426C22×C4×C47C2411yescharacteristic
427C2×C22⋊D47—22no—
428C2×C22⋊D47—22no—
429C2×C22⋊D47—22no—
430C2×C22⋊D47—22no—
431C2×C22⋊D47—22no—
432C2×C22⋊D47—22no—
433C2×C22⋊D47—41no—
434C2×C22⋊D47—41no—
435C2×C22⋊D47—41no—
436C2×C22⋊D47—41no—
437C2×C22⋊D47—41no—
438C2×C22⋊D47—41no—
439C2×C22⋊D47—41no—
440C2×C22⋊D47—41no—
441C2×C22⋊D47—41no—
442C2×C22⋊D47—41no—
443C2×C22⋊D47—41no—
444C2×C22⋊D47—41no—
445C22×Dic47—22no—
446C22×Dic47—41no—
447C22×Dic47—41no—
448C22×Dic47C2411yescharacteristic
449C22×Dic47C2411yescharacteristic
450C22×Dic47C2411yescharacteristic
451C22×Dic47C2411yescharacteristic
452C22×Dic47C2411yescharacteristic
453C22×Dic47C2411yescharacteristic
454C22×Dic47C2411yescharacteristic
455C22×Dic47C2411yescharacteristic
456C22×Dic47C2411yescharacteristic
457C22×Dic47C2411yescharacteristic
458C22×Dic47C2411yescharacteristic
459C22×Dic47C2411yescharacteristic
460D4×D47—416no—
461D4×D47—416no—
462D4×D47—416no—
463C2×D188—22no—
464C2×D188—22no—
465C2×D188—22no—
466C2×D188—41no—
467C2×D188—41no—
468C2×D188—41no—
469C2×D188—41no—
470C2×D188—41no—
471C2×D188—41no—
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—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—416no—
509C2×C4×D47—41no—
510C2×C4×D47—41no—
511C2×C4×D47—41no—
512C2×C4×D47—41no—
513C2×C4×D47#4114yes—
514C2×C4×D47#4114yes—
515C4⋊C4×C47—22no—
516C4⋊C4×C47—41no—
517C4⋊C4×C47—41no—
518C4⋊C4×C47—41no—
519C4⋊C4×C47—41no—
520C22⋊C4×C47—22no—
521C22⋊C4×C47—22no—
522C22⋊C4×C47—22no—
523C22⋊C4×C47—22no—
524C22⋊C4×C47—41no—
525C22⋊C4×C47—41no—
526C22⋊C4×C47—41no—
527C22⋊C4×C47—41no—
528C22⋊C4×C47—41no—
529C22⋊C4×C47—41no—
530C22⋊C4×C47—41no—
531C22⋊C4×C47—41no—
532C22⋊C4×C47—41no—
533C22⋊C4×C47—41no—
534C42×C47—41no—
535C42×C47—41no—
536C22⋊Dic47—22no—
537C22⋊Dic47—22no—
538C22⋊Dic47—22no—
539C22⋊Dic47—22no—
540C22⋊Dic47—41no—
541C22⋊Dic47—41no—
542C22⋊Dic47—41no—
543C22⋊Dic47—41no—
544C22⋊Dic47—41no—
545C22⋊Dic47—41no—
546C22⋊Dic47—41no—
547C22⋊Dic47—41no—
548C22⋊Dic47—41no—
549C22⋊Dic47—41no—
550(C2×D47)⋊C4—22no—
551(C2×D47)⋊C4—22no—
552(C2×D47)⋊C4—22no—
553(C2×D47)⋊C4—22no—
554(C2×D47)⋊C4—22no—
555(C2×D47)⋊C4—22no—
556(C2×D47)⋊C4—22no—
557(C2×D47)⋊C4—22no—
558(C2×D47)⋊C4—41no—
559(C2×D47)⋊C4—41no—
560(C2×D47)⋊C4—41no—
561(C2×D47)⋊C4—41no—
562(C2×D47)⋊C4—41no—
563(C2×D47)⋊C4—41no—
564(C2×D47)⋊C4—41no—
565(C2×D47)⋊C4—41no—
566(C2×D47)⋊C4—41no—
567(C2×D47)⋊C4—41no—
568(C2×D47)⋊C4—41no—
569(C2×D47)⋊C4—41no—
570(C2×D47)⋊C4—41no—
571(C2×D47)⋊C4—41no—
572(C2×D47)⋊C4—41no—
573(C2×D47)⋊C4—41no—
574(C2×D47)⋊C4—41no—
575(C2×D47)⋊C4—41no—
576(C2×D47)⋊C4—41no—
577(C2×D47)⋊C4—41no—
578C4⋊Dic47—22no—
579C4⋊Dic47—41no—
580C4⋊Dic47—41no—
581C4⋊Dic47—41no—
582C4⋊Dic47—41no—
583Dic47⋊C4—22no—
584Dic47⋊C4—22no—
585Dic47⋊C4—41no—
586Dic47⋊C4—41no—
587Dic47⋊C4—41no—
588Dic47⋊C4—41no—
589Dic47⋊C4—41no—
590Dic47⋊C4—41no—
591Dic47⋊C4—41no—
592Dic47⋊C4—41no—
593C4×Dic47—41no—
594C4×Dic47—41no—
595C4×Dic47—41no—
596C4×Dic47—41no—
597C4×Dic47—41no—
598C4×Dic47—41no—
599C23×C47—21no—
600C23×C47—21no—
601C23×C47—21no—
602C23×C47—21no—
603C23×C47—21no—
604C23×C47—21no—
605C23×C47—21no—
606C23×C47—21no—
607C23×C47—21no—
608C23×C47—21no—
609C23×C47—21no—
610C23×C47—21no—
611C23×C47—21no—
612C23×C47—21no—
613C23×C47—21no—
614C23×C47—21no—
615C23×C47—21no—
616C23×C47—21no—
617C23×C47—21no—
618C23×C47—21no—
619C23×C47C2×#4112yes—
620C23×C47C2511yescharacteristic
621C22×D47—21no—
622C22×D47—21no—
623C22×D47—21no—
624C22×D47—21no—
625C22×D47—21no—
626C22×D47—21no—
627C22×D47—28no—
628C22×D47—28no—
629C22×D47—28no—
630C22×D47—21no—
631C22×D47—21no—
632C22×D47—21no—
633C22×D47—21no—
634C22×D47—21no—
635C22×D47—21no—
636C22×D47—21no—
637C22×D47—21no—
638C22×D47—21no—
639C22×D47—21no—
640C22×D47—21no—
641C22×D47—21no—
642C22×D47—21no—
643C22×D47—21no—
644C22×D47—44no—
645C22×D47—44no—
646C22×D47—44no—
647C22×D47—44no—
648C22×D47—44no—
649C22×D47—44no—
650C22×D47—44no—
651C22×D47—44no—
652C22×D47—44no—
653C22×D47—44no—
654C22×D47—44no—
655C22×D47—44no—
656C22×D47—44no—
657C22×D47—44no—
658C22×D47—44no—
659C22×D47—44no—
660C22×D47—44no—
661C22×D47—44no—
662C22×D47C2×#4112yes—
663C22×D47C2×#4112yes—
664C22×D47C2×#4112yes—
665C22×D47C2×#4112yes—
666C22×D47H(5,𝔽2)12yes—
667C22×D47H(5,𝔽2)12yes—
668C22×D47H(5,𝔽2)12yes—
669C22×D47H(5,𝔽2)12yes—
670D4×C47—44no—
671D4×C47—44no—
672D4×C47—44no—
673C2×C4×C47—21no—
674C2×C4×C47—21no—
675C2×C4×C47—21no—
676C2×C4×C47—21no—
677C2×C4×C47—21no—
678C2×C4×C47—21no—
679C2×C4×C47—21no—
680C2×C4×C47—21no—
681C2×C4×C47—21no—
682C2×C4×C47—21no—
683C2×C4×C47—21no—
684C2×C4×C47—21no—
685C2×C4×C47—21no—
686C2×C4×C47—21no—
687C2×C4×C47—21no—
688C2×C4×C47—21no—
689C2×C4×C47—21no—
690C2×C4×C47—21no—
691C2×C4×C47—21no—
692C2×C4×C47—21no—
693C2×C4×C47—21no—
694C2×C4×C47—21no—
695C2×C4×C47—21no—
696C2×C4×C47—21no—
697C2×C4×C47—21no—
698C2×C4×C47—21no—
699C2×C4×C47—21no—
700C2×C4×C47—21no—
701C2×C4×C47—21no—
702C2×C4×C47—21no—
703C2×C4×C47—21no—
704C2×C4×C47—21no—
705C2×C4×C47—21no—
706C2×C4×C47—21no—
707C2×C4×C47—44no—
708C2×C4×C47C2×#4112yes—
709C2×C4×C47C2×#4112yes—
710C22⋊D47—44no—
711C22⋊D47—44no—
712C22⋊D47—44no—
713C22⋊D47—44no—
714C22⋊D47—44no—
715C22⋊D47—44no—
716C2×Dic47—21no—
717C2×Dic47—21no—
718C2×Dic47—21no—
719C2×Dic47—21no—
720C2×Dic47—21no—
721C2×Dic47—21no—
722C2×Dic47—21no—
723C2×Dic47—21no—
724C2×Dic47—21no—
725C2×Dic47—21no—
726C2×Dic47—21no—
727C2×Dic47—21no—
728C2×Dic47—21no—
729C2×Dic47—21no—
730C2×Dic47—21no—
731C2×Dic47—21no—
732C2×Dic47—21no—
733C2×Dic47—21no—
734C2×Dic47—21no—
735C2×Dic47—21no—
736C2×Dic47—21no—
737C2×Dic47—21no—
738C2×Dic47—21no—
739C2×Dic47—21no—
740C2×Dic47—21no—
741C2×Dic47—21no—
742C2×Dic47—21no—
743C2×Dic47—21no—
744C2×Dic47—21no—
745C2×Dic47—21no—
746C2×Dic47—21no—
747C2×Dic47—21no—
748C2×Dic47—21no—
749C2×Dic47—21no—
750C2×Dic47—44no—
751C2×Dic47C2×#4112yes—
752C2×Dic47C2×#4112yes—
753D188—44no—
754D188—44no—
755D188—44no—
756C4×D47—28no—
757C4×D47—28no—
758C4×D47—44no—
759C4×D47—44no—
760C4×D47—44no—
761C4×D47—44no—
762C4×D47—44no—
763C4×D47—44no—
764C4×D47—44no—
765C4×D47—44no—
766C4×D47—44no—
767C4×D47—44no—
768C4×D47—44no—
769C4×D47—44no—
770C2×#2648—471nomaximal, Sylow
771C22×C47—22no—
772C22×C47—22no—
773C22×C47—22no—
774C22×C47—41no—
775C22×C47—41no—
776C22×C47—41no—
777C22×C47—41no—
778C22×C47—41no—
779C22×C47—41no—
780C22×C47—41no—
781C22×C47—41no—
782C22×C47—41no—
783C22×C47—41no—
784C22×C47—41no—
785C22×C47—41no—
786C22×C47—41no—
787C22×C47—41no—
788C22×C47—41no—
789C22×C47—41no—
790C22×C47—41no—
791C22×C47—41no—
792C22×C47C22×#4111yescharacteristic
793C22×C47C22×#4111yescharacteristic
794C22×C47C22×#4111yescharacteristic
795C22×C47C2×H(5,𝔽2)11yescharacteristic
796C22×C47C2×H(5,𝔽2)11yescharacteristic
797C22×C47C2×H(5,𝔽2)11yescharacteristic
798C22×C47C2×H(5,𝔽2)11yescharacteristic
799C2×D47—22no—
800C2×D47—22no—
801C2×D47—22no—
802C2×D47—41no—
803C2×D47—41no—
804C2×D47—41no—
805C2×D47—41no—
806C2×D47—416no—
807C2×D47—41no—
808C2×D47—41no—
809C2×D47—41no—
810C2×D47—41no—
811C2×D47—41no—
812C2×D47—41no—
813C2×D47—41no—
814C2×D47—41no—
815C2×D47—41no—
816C2×D47—41no—
817C2×D47—41no—
818C2×D47—41no—
819C2×D47—41no—
820C2×D47—41no—
821C2×D47—88no—
822C2×D47—88no—
823C2×D47#52914yes—
824C2×D47#53814yes—
825C2×D47#53814yes—
826C2×D47#53814yes—
827C2×D47#53814yes—
828C2×D47#54014yes—
829C2×D47#54014yes—
830C4×C47—22no—
831C4×C47—22no—
832C4×C47—41no—
833C4×C47—41no—
834C4×C47—41no—
835C4×C47—41no—
836C4×C47—41no—
837C4×C47—41no—
838C4×C47—41no—
839C4×C47—41no—
840C4×C47—41no—
841C4×C47—41no—
842Dic47—22no—
843Dic47—22no—
844Dic47—41no—
845Dic47—41no—
846Dic47—41no—
847Dic47—41no—
848Dic47—41no—
849Dic47—41no—
850Dic47—41no—
851Dic47—41no—
852Dic47—41no—
853Dic47—41no—
854#2648—471no—
855#2648—471no—
856#2648—471no—
857#2648—471no—
858#2648—471no—
859#2648—471no—
860#2648—471no—
861#2648—471no—
862#2648—471no—
863#2648—471no—
864#2648—471no—
865#2648—471no—
866#2648—471no—
867#2648—471no—
868#2648—471no—
869#2648D4711yescharacteristic, direct product factor
870C2×#400—471no—
871C2×#397—471no—
872C2×#397—471no—
873C2×#396—471no—
874C2×#394—471no—
875C2×#394—471no—
876C2×#394—471no—
877C2×#392—471no—
878C2×#390—471no—
879C2×#388—471no—
880C2×#388—471no—
881C2×#387—471no—
882C2×#386—471no—
883C2×#386—471no—
884C2×C4×C22⋊C4—471no—
885C2×C47—42no—
886C2×C47—81no—
887C2×C47—81no—
888C2×C47C2×#52911yescharacteristic
889C2×C47C2×#53811yescharacteristic
890C2×C47C2×#53811yescharacteristic
891C2×C47C2×#53811yescharacteristic
892C2×C47C2×#53811yescharacteristic
893C2×C47C2×#54011yescharacteristic
894C2×C47C2×#54011yescharacteristic
895D47—42no—
896D47—81no—
897D47—81no—
898D47#264818yesdirect product factor
899C23×D4—471no—
900C23×D4—471no—
901C23×D4—471no—
902C24×C4—471no—
903C22×C4⋊C4—471no—
904C22×C4⋊C4—471no—
905C22×C4⋊C4—471no—
906C22×C4⋊C4—471no—
907C22×C4⋊C4—471no—
908C22×C22⋊C4—471no—
909C22×C22⋊C4—471no—
910C22×C22⋊C4—471no—
911C22×C22⋊C4—471no—
912C22×C22⋊C4—471no—
913C22×C22⋊C4—471no—
914C22×C22⋊C4—471no—
915C22×C22⋊C4—471no—
916C22×C22⋊C4—471no—
917C22×C22⋊C4—471no—
918C22×C22⋊C4—471no—
919C22×C22⋊C4—471no—
920C22×C22⋊C4—471no—
921C22×C22⋊C4—471no—
922C22×C42—471no—
923C22×C42—471no—
924#400—471no—
925#400—471no—
926#400—471no—
927#400—471no—
928#400—471no—
929#400—471no—
930#400—471no—
931#400C2×D4711yescharacteristic, complemented
932#397—471no—
933#397—471no—
934#397—471no—
935#397—471no—
936#397—471no—
937#397—471no—
938#397—471no—
939#397—471no—
940#397—471no—
941#397—471no—
942#397—471no—
943#397—471no—
944#397—471no—
945#397—471no—
946#397C2×D4711yescharacteristic, complemented
947#397C2×D4711yescharacteristic, complemented
948#396—471no—
949#396—471no—
950#396—471no—
951#396—471no—
952#396—471no—
953#396—471no—
954#396—471no—
955#396C2×D4711yescharacteristic, complemented
956#394—471no—
957#394—471no—
958#394—471no—
959#394—471no—
960#394—471no—
961#394—471no—
962#394—471no—
963#394—471no—
964#394—471no—
965#394—471no—
966#394—471no—
967#394—471no—
968#394—471no—
969#394—471no—
970#394—471no—
971#394—471no—
972#394—471no—
973#394—471no—
974#394—471no—
975#394—471no—
976#394—471no—
977#394C2×D4711yescharacteristic, complemented
978#394C2×D4711yescharacteristic, complemented
979#394C2×D4711yescharacteristic, complemented
980#392—471no—
981#392—471no—
982#392—471no—
983#392—471no—
984#392—471no—
985#392—471no—
986#392—471no—
987#392C2×D4711yescharacteristic
988#390—471no—
989#390—471no—
990#390—471no—
991#390—471no—
992#390—471no—
993#390—471no—
994#390—471no—
995#390C2×D4711yescharacteristic, complemented
996#388—471no—
997#388—471no—
998#388—471no—
999#388—471no—
1000#388—471no—
1001#388—471no—
1002#388—471no—
1003#388—471no—
1004#388—471no—
1005#388—471no—
1006#388—471no—
1007#388—471no—
1008#388—471no—
1009#388—471no—
1010#388C2×D4711yescharacteristic, complemented
1011#388C2×D4711yescharacteristic, complemented
1012#387—471no—
1013#387—471no—
1014#387—471no—
1015#387—471no—
1016#387—471no—
1017#387—471no—
1018#387—471no—
1019#387C2×D4711yescharacteristic, complemented
1020#386—471no—
1021#386—471no—
1022#386—471no—
1023#386—471no—
1024#386—471no—
1025#386—471no—
1026#386—471no—
1027#386—471no—
1028#386—471no—
1029#386—471no—
1030#386—471no—
1031#386—471no—
1032#386—471no—
1033#386—471no—
1034#386C2×D4711yescharacteristic, complemented
1035#386C2×D4711yescharacteristic, complemented
1036C4×C22⋊C4—471no—
1037C4×C22⋊C4—471no—
1038C4×C22⋊C4—471no—
1039C4×C22⋊C4—471no—
1040C4×C22⋊C4—471no—
1041C4×C22⋊C4—471no—
1042C4×C22⋊C4—471no—
1043C4×C22⋊C4C2×D4711yescharacteristic, complemented
1044C2×#95—471no—
1045C2×#95—471no—
1046C2×#95—471no—
1047C2×#95—471no—
1048C2×#95—471no—
1049C2×#95—471no—
1050C2×#95—471no—
1051C2×#95—471no—
1052C2×#95—471no—
1053C2×#95—471no—
1054C47C2×#264811yescharacteristic, complemented, Sylow
1055C25—471no—
1056C25—471no—
1057C25—471no—
1058C22×D4—471no—
1059C22×D4—471no—
1060C22×D4—471no—
1061C22×D4—471no—
1062C22×D4—471no—
1063C22×D4—471no—
1064C22×D4—471no—
1065C22×D4—471no—
1066C22×D4—471no—
1067C22×D4—944no—
1068C22×D4—944no—
1069C22×D4—944no—
1070C22×D4—1882no—
1071C22×D4—1882no—
1072C22×D4—1882no—
1073C22×D4—1882no—
1074C22×D4—1882no—
1075C22×D4—1882no—
1076C22×D4C22×D4711yescharacteristic
1077C22×D4C22×D4711yescharacteristic
1078C22×D4C22×D4711yescharacteristic
1079C23×C4—471no—
1080C23×C4—471no—
1081C23×C4—471no—
1082C23×C4—471no—
1083C23×C4—471no—
1084C23×C4—471no—
1085C23×C4—471no—
1086C23×C4—471no—
1087C23×C4—471no—
1088C23×C4—471no—
1089C23×C4—471no—
1090C23×C4—471no—
1091C23×C4—471no—
1092C23×C4—471no—
1093C23×C4—471no—
1094C23×C4—944no—
1095C23×C4—1882no—
1096C23×C4—1882no—
1097C23×C4C22×D4711yescharacteristic
1098C2×C4⋊C4—471no—
1099C2×C4⋊C4—471no—
1100C2×C4⋊C4—471no—
1101C2×C4⋊C4—471no—
1102C2×C4⋊C4—471no—
1103C2×C4⋊C4—471no—
1104C2×C4⋊C4—471no—
1105C2×C4⋊C4—471no—
1106C2×C4⋊C4—471no—
1107C2×C4⋊C4—471no—
1108C2×C4⋊C4—471no—
1109C2×C4⋊C4—471no—
1110C2×C4⋊C4—471no—
1111C2×C4⋊C4—471no—
1112C2×C4⋊C4—471no—
1113C2×C4⋊C4—944no—
1114C2×C4⋊C4—1882no—
1115C2×C4⋊C4—1882no—
1116C2×C4⋊C4—1882no—
1117C2×C4⋊C4—1882no—
1118C2×C4⋊C4C22×D4711yescharacteristic
1119C2×C4⋊C4C22×D4711yescharacteristic
1120C2×C4⋊C4C22×D4711yescharacteristic
1121C2×C4⋊C4C22×D4711yescharacteristic
1122C2×C4⋊C4C22×D4711yescharacteristic
1123C2×C22⋊C4—471no—
1124C2×C22⋊C4—471no—
1125C2×C22⋊C4—471no—
1126C2×C22⋊C4—471no—
1127C2×C22⋊C4—471no—
1128C2×C22⋊C4—471no—
1129C2×C22⋊C4—471no—
1130C2×C22⋊C4—471no—
1131C2×C22⋊C4—471no—
1132C2×C22⋊C4—471no—
1133C2×C22⋊C4—471no—
1134C2×C22⋊C4—471no—
1135C2×C22⋊C4—471no—
1136C2×C22⋊C4—471no—
1137C2×C22⋊C4—471no—
1138C2×C22⋊C4—471no—
1139C2×C22⋊C4—471no—
1140C2×C22⋊C4—471no—
1141C2×C22⋊C4—471no—
1142C2×C22⋊C4—471no—
1143C2×C22⋊C4—471no—
1144C2×C22⋊C4—471no—
1145C2×C22⋊C4—471no—
1146C2×C22⋊C4—471no—
1147C2×C22⋊C4—471no—
1148C2×C22⋊C4—471no—
1149C2×C22⋊C4—471no—
1150C2×C22⋊C4—471no—
1151C2×C22⋊C4—471no—
1152C2×C22⋊C4—471no—
1153C2×C22⋊C4—471no—
1154C2×C22⋊C4—471no—
1155C2×C22⋊C4—471no—
1156C2×C22⋊C4—471no—
1157C2×C22⋊C4—471no—
1158C2×C22⋊C4—471no—
1159C2×C22⋊C4—471no—
1160C2×C22⋊C4—471no—
1161C2×C22⋊C4—471no—
1162C2×C22⋊C4—471no—
1163C2×C22⋊C4—471no—
1164C2×C22⋊C4—471no—
1165C2×C22⋊C4—944no—
1166C2×C22⋊C4—944no—
1167C2×C22⋊C4—944no—
1168C2×C22⋊C4—944no—
1169C2×C22⋊C4—1882no—
1170C2×C22⋊C4—1882no—
1171C2×C22⋊C4—1882no—
1172C2×C22⋊C4—1882no—
1173C2×C22⋊C4—1882no—
1174C2×C22⋊C4—1882no—
1175C2×C22⋊C4—1882no—
1176C2×C22⋊C4—1882no—
1177C2×C22⋊C4—1882no—
1178C2×C22⋊C4—1882no—
1179C2×C22⋊C4C22×D4711yescharacteristic
1180C2×C22⋊C4C22×D4711yescharacteristic
1181C2×C22⋊C4C22×D4711yescharacteristic
1182C2×C22⋊C4C22×D4711yescharacteristic
1183C2×C22⋊C4C22×D4711yescharacteristic
1184C2×C22⋊C4C22×D4711yescharacteristic
1185C2×C22⋊C4C22×D4711yescharacteristic
1186C2×C22⋊C4C22×D4711yescharacteristic
1187C2×C22⋊C4C22×D4711yescharacteristic
1188C2×C22⋊C4C22×D4711yescharacteristic
1189C2×C22⋊C4C22×D4711yescharacteristic
1190C2×C22⋊C4C22×D4711yescharacteristic
1191C2×C22⋊C4C22×D4711yescharacteristic
1192C2×C22⋊C4C22×D4711yescharacteristic
1193C2×C42—471no—
1194C2×C42—471no—
1195C2×C42—471no—
1196C2×C42—471no—
1197C2×C42—471no—
1198C2×C42—471no—
1199C2×C42—1882no—
1200C2×C42—1882no—
1201C2×C42C22×D4711yescharacteristic
1202C2×C42C22×D4711yescharacteristic
1203#95—471no—
1204#95—471no—
1205#95—471no—
1206#95—471no—
1207#95—471no—
1208#95—471no—
1209#95—471no—
1210#95—471no—
1211#95—471no—
1212#95—471no—
1213#95—471no—
1214#95—471no—
1215#95—471no—
1216#95—471no—
1217#95—471no—
1218#95—471no—
1219#95—471no—
1220#95—471no—
1221#95—471no—
1222#95—471no—
1223#95—471no—
1224#95—471no—
1225#95—471no—
1226#95—471no—
1227#95—471no—
1228#95—471no—
1229#95—471no—
1230#95—471no—
1231#95—471no—
1232#95—471no—
1233#95C22×D4711yescharacteristic
1234#95C22×D4711yescharacteristic
1235#95C22×D4711yescharacteristic
1236#95C22×D4711yescharacteristic
1237#95C22×D4711yescharacteristic
1238#95C22×D4711yescharacteristic
1239#95C22×D4711yescharacteristic
1240#95C22×D4711yescharacteristic
1241#95C22×D4711yescharacteristic
1242#95C22×D4711yescharacteristic
1243C24—471no—
1244C24—474no—
1245C24—471no—
1246C24—471no—
1247C24—471no—
1248C24—942no—
1249C24—942no—
1250C24—942no—
1251C24—942no—
1252C24—942no—
1253C24—942no—
1254C24—942no—
1255C24—942no—
1256C24—942no—
1257C24—942no—
1258C24—942no—
1259C24—942no—
1260C24—942no—
1261C24—942no—
1262C24—942no—
1263C24—942no—
1264C24—942no—
1265C24—942no—
1266C24—942no—
1267C24—942no—
1268C24C23×D4711yescharacteristic
1269C24C23×D4711yescharacteristic
1270C24C23×D4711yescharacteristic
1271C2×D4—22no—
1272C2×D4—22no—
1273C2×D4—22no—
1274C2×D4—41no—
1275C2×D4—41no—
1276C2×D4—41no—
1277C2×D4—41no—
1278C2×D4—41no—
1279C2×D4—41no—
1280C2×D4—942no—
1281C2×D4—942no—
1282C2×D4—942no—
1283C2×D4—942no—
1284C2×D4—942no—
1285C2×D4—942no—
1286C2×D4—942no—
1287C2×D4—942no—
1288C2×D4—942no—
1289C2×D4—1881no—
1290C2×D4—1881no—
1291C2×D4—1881no—
1292C2×D4—1881no—
1293C2×D4—1881no—
1294C2×D4—1881no—
1295C2×D4—18816no—
1296C2×D4—1881no—
1297C2×D4—1881no—
1298C2×D4—1881no—
1299C2×D4—1881no—
1300C2×D4—1881no—
1301C2×D4—1881no—
1302C2×D4—1881no—
1303C2×D4—1881no—
1304C2×D4—1881no—
1305C2×D4—1881no—
1306C2×D4—1881no—
1307C2×D4—1881no—
1308C2×D4—18816no—
1309C2×D4—18816no—
1310C22×C4—22no—
1311C22×C4—41no—
1312C22×C4—41no—
1313C22×C4—471no—
1314C22×C4—471no—
1315C22×C4—474no—
1316C22×C4—474no—
1317C22×C4—471no—
1318C22×C4—471no—
1319C22×C4—471no—
1320C22×C4—471no—
1321C22×C4—471no—
1322C22×C4—471no—
1323C22×C4—471no—
1324C22×C4—471no—
1325C22×C4—471no—
1326C22×C4—471no—
1327C22×C4—942no—
1328C22×C4—942no—
1329C22×C4—942no—
1330C22×C4—942no—
1331C22×C4—942no—
1332C22×C4—942no—
1333C22×C4—942no—
1334C22×C4—942no—
1335C22×C4—942no—
1336C22×C4—942no—
1337C22×C4—942no—
1338C22×C4—942no—
1339C22×C4—942no—
1340C22×C4—942no—
1341C22×C4—942no—
1342C22×C4—942no—
1343C22×C4—942no—
1344C22×C4—942no—
1345C22×C4—942no—
1346C22×C4—942no—
1347C22×C4—942no—
1348C22×C4—942no—
1349C22×C4—942no—
1350C22×C4—942no—
1351C22×C4—942no—
1352C22×C4—942no—
1353C22×C4—942no—
1354C22×C4—942no—
1355C22×C4—942no—
1356C22×C4—942no—
1357C22×C4—942no—
1358C22×C4—942no—
1359C22×C4—942no—
1360C22×C4—942no—
1361C22×C4—942no—
1362C22×C4—942no—
1363C22×C4—942no—
1364C22×C4—1881no—
1365C22×C4—1881no—
1366C22×C4—1881no—
1367C22×C4—1881no—
1368C22×C4—18816no—
1369C22×C4—1881no—
1370C22×C4—1881no—
1371C22×C4C23×D4711yescharacteristic
1372C22×C4C23×D4711yescharacteristic
1373C22×C4C23×D4711yescharacteristic
1374C22×C4C23×D4711yescharacteristic
1375C22×C4C23×D4711yescharacteristic
1376C22×C4C23×D4711yescharacteristic
1377C22×C4C23×D4711yescharacteristic
1378C22×C4C23×D4711yescharacteristic
1379C22×C4C23×D4711yescharacteristic
1380C22×C4C23×D4711yescharacteristic
1381C22×C4C23×D4711yescharacteristic
1382C22×C4C23×D4711yescharacteristic
1383C4⋊C4—22no—
1384C4⋊C4—41no—
1385C4⋊C4—41no—
1386C4⋊C4—41no—
1387C4⋊C4—41no—
1388C4⋊C4—942no—
1389C4⋊C4—942no—
1390C4⋊C4—942no—
1391C4⋊C4—1881no—
1392C4⋊C4—1881no—
1393C4⋊C4—1881no—
1394C4⋊C4—1881no—
1395C4⋊C4—1881no—
1396C4⋊C4—1881no—
1397C4⋊C4—1881no—
1398C4⋊C4—1881no—
1399C4⋊C4—1881no—
1400C4⋊C4—1881no—
1401C4⋊C4—1881no—
1402C4⋊C4—1881no—
1403C22⋊C4—22no—
1404C22⋊C4—22no—
1405C22⋊C4—22no—
1406C22⋊C4—22no—
1407C22⋊C4—41no—
1408C22⋊C4—41no—
1409C22⋊C4—41no—
1410C22⋊C4—41no—
1411C22⋊C4—41no—
1412C22⋊C4—41no—
1413C22⋊C4—41no—
1414C22⋊C4—41no—
1415C22⋊C4—41no—
1416C22⋊C4—41no—
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—942no—
1428C22⋊C4—942no—
1429C22⋊C4—1881no—
1430C22⋊C4—1881no—
1431C22⋊C4—1881no—
1432C22⋊C4—1881no—
1433C22⋊C4—1881no—
1434C22⋊C4—1881no—
1435C22⋊C4—1881no—
1436C22⋊C4—1881no—
1437C22⋊C4—1881no—
1438C22⋊C4—1881no—
1439C22⋊C4—1881no—
1440C22⋊C4—1881no—
1441C22⋊C4—1881no—
1442C22⋊C4—1881no—
1443C22⋊C4—1881no—
1444C22⋊C4—1881no—
1445C22⋊C4—1881no—
1446C22⋊C4—1881no—
1447C22⋊C4—1881no—
1448C22⋊C4—1881no—
1449C22⋊C4—1881no—
1450C22⋊C4—1881no—
1451C22⋊C4—1881no—
1452C22⋊C4—1881no—
1453C22⋊C4—1881no—
1454C22⋊C4—1881no—
1455C22⋊C4—1881no—
1456C22⋊C4—1881no—
1457C22⋊C4—1881no—
1458C22⋊C4—1881no—
1459C42—41no—
1460C42—41no—
1461C42—1881no—
1462C42—1881no—
1463C42—1881no—
1464C42—1881no—
1465C42—1881no—
1466C42—1881no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—472no—
1488C23—472no—
1489C23—472no—
1490C23—472no—
1491C23—472no—
1492C23—472no—
1493C23—472no—
1494C23—472no—
1495C23—948no—
1496C23—948no—
1497C23—948no—
1498C23—941no—
1499C23—941no—
1500C23—941no—
1501C23—941no—
1502C23—941no—
1503C23—941no—
1504C23—941no—
1505C23—941no—
1506C23—941no—
1507C23—941no—
1508C23—941no—
1509C23—941no—
1510C23—941no—
1511C23—941no—
1512C23—941no—
1513C23—941no—
1514C23—941no—
1515C23—941no—
1516C23—941no—
1517C23—941no—
1518C23—1884no—
1519C23—1884no—
1520C23—1884no—
1521C23—1884no—
1522C23—1884no—
1523C23—1884no—
1524C23—1884no—
1525C23—1884no—
1526C23—1884no—
1527C23—1884no—
1528C23—1884no—
1529C23—1884no—
1530C23—1884no—
1531C23—1884no—
1532C23—1884no—
1533C23—1884no—
1534C23—1884no—
1535C23—1884no—
1536C23#41×D4712yes—
1537C23C24×D4711yescharacteristic
1538D4—44no—
1539D4—44no—
1540D4—44no—
1541D4—1884no—
1542D4—1884no—
1543D4—1884no—
1544D4—1884no—
1545D4—1884no—
1546D4—1884no—
1547D4—1884no—
1548D4—1884no—
1549D4—1884no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—44no—
1585C2×C4—472no—
1586C2×C4—472no—
1587C2×C4—948no—
1588C2×C4—948no—
1589C2×C4—941no—
1590C2×C4—941no—
1591C2×C4—941no—
1592C2×C4—941no—
1593C2×C4—941no—
1594C2×C4—941no—
1595C2×C4—941no—
1596C2×C4—941no—
1597C2×C4—941no—
1598C2×C4—941no—
1599C2×C4—941no—
1600C2×C4—941no—
1601C2×C4—941no—
1602C2×C4—941no—
1603C2×C4—941no—
1604C2×C4—941no—
1605C2×C4—941no—
1606C2×C4—941no—
1607C2×C4—941no—
1608C2×C4—941no—
1609C2×C4—941no—
1610C2×C4—941no—
1611C2×C4—941no—
1612C2×C4—941no—
1613C2×C4—941no—
1614C2×C4—941no—
1615C2×C4—941no—
1616C2×C4—941no—
1617C2×C4—941no—
1618C2×C4—941no—
1619C2×C4—941no—
1620C2×C4—941no—
1621C2×C4—941no—
1622C2×C4—941no—
1623C2×C4—1884no—
1624C2×C4—1884no—
1625C2×C4—1884no—
1626C2×C4—1884no—
1627C2×C4—1884no—
1628C2×C4—1884no—
1629C2×C4—1884no—
1630C2×C4—1884no—
1631C2×C4—1884no—
1632C2×C4—1884no—
1633C2×C4—1884no—
1634C2×C4—1884no—
1635C2×C4—1884no—
1636C2×C4#41×D4712yes—
1637C2×C4#41×D4712yes—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—474no—
1660C22—474no—
1661C22—474no—
1662C22—474no—
1663C22—474no—
1664C22—474no—
1665C22—474no—
1666C22—942no—
1667C22—942no—
1668C22—942no—
1669C22—3768no—
1670C22—3768no—
1671C22—18816no—
1672C22—1881no—
1673C22—1881no—
1674C22—1881no—
1675C22—1881no—
1676C22—1881no—
1677C22—1881no—
1678C22—1881no—
1679C22—1881no—
1680C22—1881no—
1681C22—1881no—
1682C22—1881no—
1683C22—1881no—
1684C22—1881no—
1685C22—1881no—
1686C22—1881no—
1687C22—1881no—
1688C22—1881no—
1689C22—1881no—
1690C22C2×#41×D4711yescharacteristic
1691C22C2×#41×D4711yescharacteristic
1692C22C2×#41×D4711yescharacteristic
1693C22H(5,𝔽2)×D4711yescharacteristic
1694C22H(5,𝔽2)×D4711yescharacteristic
1695C22H(5,𝔽2)×D4711yescharacteristic
1696C22H(5,𝔽2)×D4711yescharacteristic
1697C4—22no—
1698C4—22no—
1699C4—41no—
1700C4—41no—
1701C4—41no—
1702C4—41no—
1703C4—41no—
1704C4—41no—
1705C4—41no—
1706C4—41no—
1707C4—41no—
1708C4—41no—
1709C4—942no—
1710C4—942no—
1711C4—1881no—
1712C4—1881no—
1713C4—1881no—
1714C4—1881no—
1715C4—1881no—
1716C4—1881no—
1717C4—1881no—
1718C4—1881no—
1719C4—1881no—
1720C4—1881no—
1721C2—42no—
1722C2—81no—
1723C2—81no—
1724C2—478no—
1725C2—3761no—
1726C2—3761no—
1727C2—1882no—
1728C2#529×D4711yescharacteristic
1729C2#538×D4711yescharacteristic
1730C2#538×D4711yescharacteristic
1731C2#538×D4711yescharacteristic
1732C2#538×D4711yescharacteristic
1733C2#540×D4711yescharacteristic
1734C2#540×D4711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2648C2
prime radical#392×D47C2
hypercenter#2648D47
hypocenterC47C2×#2648
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2648

Complements

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

NH ≅ G/Ntype
1. #20249383C2semidirect
2. #20249382C2semidirect
3. #20249381C2semidirect
4. #20249380C2semidirect
5. #20249379C2semidirect
6. #20249378C2semidirect
7. #20249377C2semidirect
8. #20249376C2semidirect
9. #20249375C2semidirect
10. #20249374C2semidirect
11. #20249373C2semidirect
12. #20249372C2semidirect
13. #20249371C2semidirect
14. #20249370C2semidirect
15. #20249369C2semidirect
16. #400×D47C2semidirect
17. #397×D47C2semidirect
18. #397×D47C2semidirect
19. #396×D47C2semidirect
20. #394×D47C2semidirect
21. #394×D47C2semidirect
22. #394×D47C2semidirect
24. #390×D47C2semidirect
25. #388×D47C2semidirect
26. #388×D47C2semidirect
27. #387×D47C2semidirect
28. #386×D47C2semidirect
29. #386×D47C2semidirect
30. C4×C22⋊C4×D47C2semidirect
31. C47×#2648C2semidirect
57. #15689065C22semidirect
58. #15689065C22semidirect
59. #15689064C22semidirect
60. #15689064C22semidirect
61. #15689063C22semidirect
62. #15689062C22semidirect
63. #15689061C22semidirect
64. #15689052C22semidirect
65. #15689052C22semidirect
66. #15689052C22semidirect
67. #15689052C22semidirect
68. #15689051C22semidirect
69. #15689051C22semidirect
70. #15689051C22semidirect
71. #15689051C22semidirect
72. #15689050C22semidirect
73. #15689050C22semidirect
74. #15689049C22semidirect
75. #15689049C22semidirect
76. #15689048C22semidirect
77. #15689048C22semidirect
78. #15689047C22semidirect
79. #15689046C22semidirect
80. #15689046C22semidirect
81. #15689046C22semidirect
82. #15689045C22semidirect
83. #15689045C22semidirect
84. #15689045C22semidirect
85. #15689041C22semidirect
86. #15689041C22semidirect
87. #15689041C22semidirect
88. #15689040C22semidirect
89. #15689040C22semidirect
90. #15689040C22semidirect
91. #15689039C22semidirect
92. #15689039C22semidirect
93. #15689039C22semidirect
94. #15689039C22semidirect
95. #15689039C22semidirect
96. #15689039C22semidirect
97. #15689038C22semidirect
98. #15689038C22semidirect
99. #15689038C22semidirect
100. #15689038C22semidirect
101. #15689038C22semidirect
102. #15689038C22semidirect
103. #15689037C22semidirect
104. #15689037C22semidirect
105. #15689037C22semidirect
113. #15689026C22semidirect
114. #15689025C22semidirect
115. #15689024C22semidirect
116. #15689023C22semidirect
117. #15689023C22semidirect
118. #15689023C22semidirect
119. #15689023C22semidirect
120. #15689017C22semidirect
121. #15689017C22semidirect
122. #15689016C22semidirect
123. #15689016C22semidirect
124. #15689015C22semidirect
125. #15689015C22semidirect
126. #15689014C22semidirect
127. #15689014C22semidirect
128. #15689013C22semidirect
129. #15689013C22semidirect
130. #15689012C22semidirect
131. #15689012C22semidirect
132. #15689011C22semidirect
133. #15689011C22semidirect
134. #15689010C22semidirect
135. #15689009C22semidirect
136. #15689008C22semidirect
137. #15689007C22semidirect
138. #15689006C22semidirect
139. #15689005C22semidirect
140. #15689004C22semidirect
141. #15689003C22semidirect
142. #15689003C22semidirect
143. #15689002C22semidirect
144. #15689002C22semidirect
145. #15689001C22semidirect
146. #15689001C22semidirect
147. #15689001C22semidirect
148. #15689001C22semidirect
149. #15689000C22semidirect
150. #15689000C22semidirect
151. #15688999C22semidirect
152. #15688999C22semidirect
153. #15688999C22semidirect
154. #15688999C22semidirect
155. C22⋊C4×Dic47C22semidirect
156. C22⋊C4×Dic47C22semidirect
157. C4×(C2×D47)⋊C4C22semidirect
158. C4×(C2×D47)⋊C4C22semidirect
159. C4×C22⋊Dic47C22semidirect
160. #15688970C22semidirect
161. #15688970C22semidirect
172. C47×#400C22semidirect
173. C47×#397C22semidirect
174. C47×#397C22semidirect
175. C47×#396C22semidirect
176. C47×#394C22semidirect
177. C47×#394C22semidirect
178. C47×#394C22semidirect
180. C47×#390C22semidirect
181. C47×#388C22semidirect
182. C47×#388C22semidirect
183. C47×#387C22semidirect
184. C47×#386C22semidirect
185. C47×#386C22semidirect
186. C4×C22⋊C4×C47C22semidirect
869. #2648D47direct (N × H)
898. D47#2648direct (N × H)
931. #400C2×D47semidirect
946. #397C2×D47semidirect
947. #397C2×D47semidirect
955. #396C2×D47semidirect
977. #394C2×D47semidirect
978. #394C2×D47semidirect
979. #394C2×D47semidirect
995. #390C2×D47semidirect
1010. #388C2×D47semidirect
1011. #388C2×D47semidirect
1019. #387C2×D47semidirect
1034. #386C2×D47semidirect
1035. #386C2×D47semidirect
1043. C4×C22⋊C4C2×D47semidirect
1054. C47C2×#2648semidirect

Maximal subgroups

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

subgroupindex
#202493832
#202493822
#202493812
#202493802
#202493792
#202493782
#202493772
#202493762
#202493752
#202493742
#202493732
#202493722
#202493712
#202493702
#202493692
#400×D472
#397×D472
#396×D472
#394×D472
#392×D472
#390×D472
#388×D472
#387×D472
#386×D472
C4×C22⋊C4×D472
C47×#26482
C2×#264847