Finite Group Databasebeta

← D47×#2457 #26384385

Subgroups — D47×#2457 #26384385

Order 12032.

3438 conjugacy classes of subgroups.

The subgroup lattice has 1832 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#123×D47C211yesmaximal, characteristic, complemented
2C2×C4×D4×D47C211yesmaximal, characteristic, complemented
3#20247302C211yesmaximal, characteristic, complemented
4#20247301C211yesmaximal, characteristic, complemented
5#20247300C211yesmaximal, characteristic, complemented
6#20247299C211yesmaximal, characteristic, complemented
7#20247298C211yesmaximal, characteristic, complemented
8#20247297C211yesmaximal, characteristic, complemented
9#20247296C211yesmaximal, characteristic, complemented
10#20247295C211yesmaximal, characteristic, complemented
11#20247294C211yesmaximal, characteristic, complemented
12#20247293C211yesmaximal, characteristic, complemented
13#20247292C211yesmaximal, characteristic, complemented
14#20247291C211yesmaximal, characteristic, complemented
15#20247290C211yesmaximal, characteristic, complemented
16#20247289C211yesmaximal, characteristic, complemented
17#20247288C211yesmaximal, characteristic, complemented
18#400×D47C211yesmaximal, characteristic, complemented
19#396×D47C211yesmaximal, characteristic, complemented
20#394×D47C211yesmaximal, characteristic, complemented
21#392×D47C211yesmaximal, characteristic
22#388×D47C211yesmaximal, characteristic, complemented
23#388×D47C211yesmaximal, characteristic, complemented
24#387×D47C211yesmaximal, characteristic, complemented
25#386×D47C211yesmaximal, characteristic, complemented
26#386×D47C211yesmaximal, characteristic, complemented
27#386×D47C211yesmaximal, characteristic, complemented
28#381×D47C211yesmaximal, characteristic, complemented
29#380×D47C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D47C211yesmaximal, characteristic, complemented
31C47×#2457C211yesmaximal, characteristic, complemented
32C22×D4×D47C2211yescharacteristic
33C22×D4×D47C2211yescharacteristic
34C22×D4×D47C2211yescharacteristic
35C23×C4×D47C2211yescharacteristic
36C23×C4×D47C2211yescharacteristic
37C23×C4×D47C2211yescharacteristic
38C2×#13094009C2211yescharacteristic, complemented
39C2×#13094009C2211yescharacteristic, complemented
40C2×#13094008C2211yescharacteristic, complemented
41C2×#13094007C2211yescharacteristic, complemented
42C2×#13094006C2211yescharacteristic, complemented
43C2×#13094006C2211yescharacteristic, complemented
44C2×#13094005C2211yescharacteristic, complemented
45#123×D47—28no—
46C2×C4×D188C2211yescharacteristic, complemented
47C2×D4×Dic47C2211yescharacteristic, complemented
48C2×#13093986C2211yescharacteristic, complemented
49C2×C4×C22⋊D47C2211yescharacteristic, complemented
50C2×C4×C22⋊D47C2211yescharacteristic, complemented
51C2×(C22⋊D47)⋊C4C2211yescharacteristic, complemented
52C2×(C22⋊D47)⋊C4C2211yescharacteristic, complemented
53C4×D4×D47—28no—
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×C42×D47C2211yescharacteristic
72C2×C42×D47C2211yescharacteristic
73#15689065C2211yescharacteristic, complemented
74#15689065C2211yescharacteristic, complemented
75#15689064C2211yescharacteristic, complemented
76#15689064C2211yescharacteristic, complemented
77#15689063C2211yescharacteristic, complemented
78#15689062C2211yescharacteristic, complemented
79#15689061C2211yescharacteristic, complemented
80#15689047C2211yescharacteristic, complemented
81#15689046C2211yescharacteristic, complemented
82#15689046C2211yescharacteristic, complemented
83#15689046C2211yescharacteristic, complemented
84#15689045C2211yescharacteristic, complemented
85#15689045C2211yescharacteristic, complemented
86#15689045C2211yescharacteristic, complemented
87#15689041C2211yescharacteristic, complemented
88#15689040C2211yescharacteristic, complemented
89#15689039C2211yescharacteristic, complemented
90#15689039C2211yescharacteristic, complemented
91#15689038C2211yescharacteristic, complemented
92#15689038C2211yescharacteristic, complemented
93#15689037C2211yescharacteristic, complemented
94#15689033C2211yescharacteristic
95#15689032C2211yescharacteristic
96#15689032C2211yescharacteristic
97#15689032C2211yescharacteristic
98#15689031C2211yescharacteristic
99#15689031C2211yescharacteristic
100#15689031C2211yescharacteristic
101#15689017C2211yescharacteristic, complemented
102#15689017C2211yescharacteristic, complemented
103#15689016C2211yescharacteristic, complemented
104#15689016C2211yescharacteristic, complemented
105#15689015C2211yescharacteristic, complemented
106#15689015C2211yescharacteristic, complemented
107#15689014C2211yescharacteristic, complemented
108#15689014C2211yescharacteristic, complemented
109#15689013C2211yescharacteristic, complemented
110#15689013C2211yescharacteristic, complemented
111#15689012C2211yescharacteristic, complemented
112#15689012C2211yescharacteristic, complemented
113#15689011C2211yescharacteristic, complemented
114#15689011C2211yescharacteristic, complemented
115#15689010C2211yescharacteristic, complemented
116#15689009C2211yescharacteristic, complemented
117#15689008C2211yescharacteristic, complemented
118#15689007C2211yescharacteristic, complemented
119#15689006C2211yescharacteristic, complemented
120#15689005C2211yescharacteristic, complemented
121#15689004C2211yescharacteristic, complemented
122#15689003C2211yescharacteristic, complemented
123#15689003C2211yescharacteristic, complemented
124#15689003C2211yescharacteristic, complemented
125#15689002C2211yescharacteristic, complemented
126#15689002C2211yescharacteristic, complemented
127#15689002C2211yescharacteristic, complemented
128#15689001C2211yescharacteristic, complemented
129#15689001C2211yescharacteristic, complemented
130#15689001C2211yescharacteristic, complemented
131#15689001C2211yescharacteristic, complemented
132#15689001C2211yescharacteristic, complemented
133#15689001C2211yescharacteristic, complemented
134#15689000C2211yescharacteristic, complemented
135#15689000C2211yescharacteristic, complemented
136#15689000C2211yescharacteristic, complemented
137#15688999C2211yescharacteristic, complemented
138#15688999C2211yescharacteristic, complemented
139#15688999C2211yescharacteristic, complemented
140#15688999C2211yescharacteristic, complemented
141#15688999C2211yescharacteristic, complemented
142#15688999C2211yescharacteristic, complemented
143#15688986C2211yescharacteristic, complemented
144#15688985C2211yescharacteristic, complemented
145#15688985C2211yescharacteristic, complemented
146#15688985C2211yescharacteristic, complemented
147#15688985C2211yescharacteristic, complemented
148#15688984C2211yescharacteristic, complemented
149#15688984C2211yescharacteristic, complemented
150#15688983C2211yescharacteristic, complemented
151#15688982C2211yescharacteristic, complemented
152#15688982C2211yescharacteristic, complemented
153#15688981C2211yescharacteristic, complemented
154#15688981C2211yescharacteristic, complemented
155#15688980C2211yescharacteristic, complemented
156#15688980C2211yescharacteristic, complemented
157C22⋊C4×Dic47C2211yescharacteristic, complemented
158C22⋊C4×Dic47C2211yescharacteristic, complemented
159C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
160C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
161C4×C22⋊Dic47C2211yescharacteristic, complemented
162#15688970C2211yescharacteristic, complemented
163#15688970C2211yescharacteristic, complemented
164#95×D47C2211yescharacteristic
165#95×D47C2211yescharacteristic
166#95×D47C2211yescharacteristic
167#95×D47C2211yescharacteristic
168#95×D47C2211yescharacteristic
169#95×D47C2211yescharacteristic
170#95×D47C2211yescharacteristic
171#95×D47C2211yescharacteristic
172#95×D47C2211yescharacteristic
173#95×D47C2211yescharacteristic
174C2×#123×C47C2211yescharacteristic, complemented
175C2×C4×D4×C47C2211yescharacteristic, complemented
176C47×#400C2211yescharacteristic, complemented
177C47×#396C2211yescharacteristic, complemented
178C47×#394C2211yescharacteristic, complemented
179C47×#392C2211yescharacteristic
180C47×#388C2211yescharacteristic, complemented
181C47×#388C2211yescharacteristic, complemented
182C47×#387C2211yescharacteristic, complemented
183C47×#386C2211yescharacteristic, complemented
184C47×#386C2211yescharacteristic, complemented
185C47×#386C2211yescharacteristic, complemented
186C47×#381C2211yescharacteristic, complemented
187C47×#380C2211yescharacteristic, 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—24no—
207C2×D4×D47—24no—
208C2×D4×D47—42no—
209C2×D4×D47—42no—
210C23×Dic47C2311yescharacteristic
211C23×Dic47C2311yescharacteristic
212C23×Dic47C2311yescharacteristic
213C22×C4×D47—24no—
214C22×C4×D47—24no—
215C22×C4×D47—24no—
216C22×C4×D47—24no—
217C22×C4×D47—24no—
218C22×C4×D47—24no—
219C22×C4×D47—42no—
220C22×C4×D47—42no—
221C22×C4×D47—42no—
222C22×C4×D47C2311yescharacteristic
223C22×C4×D47C2311yescharacteristic
224C22×C4×D47C2311yescharacteristic
225C22×C4×D47C2311yescharacteristic
226C22×C4×D47C2311yescharacteristic
227C22×C4×D47C2311yescharacteristic
228C22×C4×D47C2311yescharacteristic
229C22×C4×D47C2311yescharacteristic
230C22×C4×D47C2311yescharacteristic
231C22×C4×D47C2311yescharacteristic
232C22×C4×D47C2311yescharacteristic
233C22×C4×D47C2311yescharacteristic
234C22×C4×D47C2311yescharacteristic
235C22×C4×D47C2311yescharacteristic
236C22×C4×D47C2311yescharacteristic
237C22×C4×D47C2311yescharacteristic
238C22×C4×D47C2311yescharacteristic
239C22×C4×D47C2311yescharacteristic
240#13094009—24no—
241#13094009—24no—
242#13094008—24no—
243#13094007—24no—
244#13094006—24no—
245#13094006—24no—
246#13094005—24no—
247C4×D188—24no—
248D4×Dic47—24no—
249#13093986—24no—
250C4×C22⋊D47—24no—
251C4×C22⋊D47—24no—
252(C22⋊D47)⋊C4—24no—
253(C22⋊D47)⋊C4—24no—
254C2×C4⋊Dic47C2311yescharacteristic
255C2×C4⋊Dic47C2311yescharacteristic
256C2×C4⋊Dic47C2311yescharacteristic
257C2×C4⋊Dic47C2311yescharacteristic
258C2×C4⋊Dic47C2311yescharacteristic
259C2×Dic47⋊C4C2311yescharacteristic
260C2×Dic47⋊C4C2311yescharacteristic
261C2×Dic47⋊C4C2311yescharacteristic
262C2×Dic47⋊C4C2311yescharacteristic
263C2×Dic47⋊C4C2311yescharacteristic
264C2×Dic47⋊C4C2311yescharacteristic
265C2×Dic47⋊C4C2311yescharacteristic
266C2×Dic47⋊C4C2311yescharacteristic
267C2×Dic47⋊C4C2311yescharacteristic
268C2×Dic47⋊C4C2311yescharacteristic
269C4⋊C4×D47—24no—
270C4⋊C4×D47—24no—
271C4⋊C4×D47—24no—
272C4⋊C4×D47—24no—
273C4⋊C4×D47—42no—
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×C22⋊Dic47C2311yescharacteristic
285C2×C22⋊Dic47C2311yescharacteristic
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
310C22⋊C4×D47—24no—
311C22⋊C4×D47—24no—
312C22⋊C4×D47—24no—
313C22⋊C4×D47—24no—
314C22⋊C4×D47—24no—
315C22⋊C4×D47—24no—
316C22⋊C4×D47—42no—
317C22⋊C4×D47—42no—
318C22⋊C4×D47—42no—
319C22⋊C4×D47—42no—
320C22⋊C4×D47—42no—
321C22⋊C4×D47D418yescomplemented
322C2×C4×Dic47C2311yescharacteristic
323C2×C4×Dic47C2311yescharacteristic
324C2×C4×Dic47C2311yescharacteristic
325C2×C4×Dic47C2311yescharacteristic
326C2×C4×Dic47C2311yescharacteristic
327C2×C4×Dic47C2311yescharacteristic
328C42×D47—24no—
329C42×D47—42no—
330C47⋊#95C2311yescharacteristic
331C47⋊#95C2311yescharacteristic
332C47⋊#95C2311yescharacteristic
333C47⋊#95C2311yescharacteristic
334C47⋊#95C2311yescharacteristic
335C47⋊#95C2311yescharacteristic
336C47⋊#95C2311yescharacteristic
337C47⋊#95C2311yescharacteristic
338C47⋊#95C2311yescharacteristic
339C47⋊#95C2311yescharacteristic
340C47⋊#95C2311yescharacteristic
341C47⋊#95C2311yescharacteristic
342C47⋊#95C2311yescharacteristic
343C47⋊#95C2311yescharacteristic
344C47⋊#95C2311yescharacteristic
345C47⋊#95C2311yescharacteristic
346C47⋊#95C2311yescharacteristic
347C47⋊#95C2311yescharacteristic
348C47⋊#95C2311yescharacteristic
349C47⋊#95C2311yescharacteristic
350C47⋊#95C2311yescharacteristic
351C47⋊#95C2311yescharacteristic
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
364C23×C4×C47C2311yescharacteristic
365C23×C4×C47C2311yescharacteristic
366#123×C47—24no—
367C4×D4×C47—24no—
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×C42×C47C2311yescharacteristic
386C2×C42×C47C2311yescharacteristic
387#95×C47C2311yescharacteristic
388#95×C47C2311yescharacteristic
389#95×C47C2311yescharacteristic
390#95×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×D47C2×D414yes—
419C23×D47#4114yes—
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—22no—
431C2×D4×C47—22no—
432C2×D4×C47—41no—
433C2×D4×C47—41no—
434C22×C4×C47—22no—
435C22×C4×C47—22no—
436C22×C4×C47—22no—
437C22×C4×C47—22no—
438C22×C4×C47—22no—
439C22×C4×C47—22no—
440C22×C4×C47—41no—
441C22×C4×C47—41no—
442C22×C4×C47—41no—
443C22×C4×C47C2411yescharacteristic
444C22×C4×C47C2411yescharacteristic
445C22×C4×C47C2411yescharacteristic
446C22×C4×C47C2411yescharacteristic
447C22×C4×C47C2411yescharacteristic
448C22×C4×C47C2411yescharacteristic
449C22×C4×C47C2411yescharacteristic
450C22×C4×C47C2411yescharacteristic
451C22×C4×C47C2411yescharacteristic
452C22×C4×C47C2411yescharacteristic
453C22×C4×C47C2411yescharacteristic
454C22×C4×C47C2411yescharacteristic
455C2×C22⋊D47—22no—
456C2×C22⋊D47—22no—
457C2×C22⋊D47—22no—
458C2×C22⋊D47—22no—
459C2×C22⋊D47—22no—
460C2×C22⋊D47—22no—
461C2×C22⋊D47—22no—
462C2×C22⋊D47—22no—
463C2×C22⋊D47—22no—
464C2×C22⋊D47—22no—
465C2×C22⋊D47—22no—
466C2×C22⋊D47—22no—
467C2×C22⋊D47—22no—
468C2×C22⋊D47—22no—
469C2×C22⋊D47—41no—
470C2×C22⋊D47—41no—
471C2×C22⋊D47—41no—
472C2×C22⋊D47—41no—
473C22×Dic47—22no—
474C22×Dic47—22no—
475C22×Dic47—22no—
476C22×Dic47—22no—
477C22×Dic47—22no—
478C22×Dic47—22no—
479C22×Dic47—41no—
480C22×Dic47—41no—
481C22×Dic47—41no—
482C22×Dic47C2411yescharacteristic
483C22×Dic47C2411yescharacteristic
484C22×Dic47C2411yescharacteristic
485C22×Dic47C2411yescharacteristic
486C22×Dic47C2411yescharacteristic
487C22×Dic47C2411yescharacteristic
488C22×Dic47C2411yescharacteristic
489C22×Dic47C2411yescharacteristic
490C22×Dic47C2411yescharacteristic
491C22×Dic47C2411yescharacteristic
492C22×Dic47C2411yescharacteristic
493C22×Dic47C2411yescharacteristic
494D4×D47—232no—
495D4×D47—416no—
496D4×D47—416no—
497C2×D188—22no—
498C2×D188—22no—
499C2×D188—22no—
500C2×D188—22no—
501C2×D188—22no—
502C2×D188—22no—
503C2×D188—22no—
504C2×D188—41no—
505C2×D188—41no—
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—22no—
529C2×C4×D47—22no—
530C2×C4×D47—22no—
531C2×C4×D47—22no—
532C2×C4×D47—22no—
533C2×C4×D47—22no—
534C2×C4×D47—22no—
535C2×C4×D47—22no—
536C2×C4×D47—22no—
537C2×C4×D47—22no—
538C2×C4×D47—22no—
539C2×C4×D47—22no—
540C2×C4×D47—22no—
541C2×C4×D47—22no—
542C2×C4×D47—22no—
543C2×C4×D47—22no—
544C2×C4×D47—22no—
545C2×C4×D47—22no—
546C2×C4×D47—22no—
547C2×C4×D47—22no—
548C2×C4×D47—22no—
549C2×C4×D47—22no—
550C2×C4×D47—416no—
551C2×C4×D47—416no—
552C2×C4×D47—416no—
553C2×C4×D47—41no—
554C2×C4×D47—41no—
555C2×C4×D47—41no—
556C2×C4×D47—41no—
557C2×C4×D47—41no—
558C2×C4×D47—41no—
559C2×C4×D47C2×D414yes—
560C2×C4×D47C2×D414yes—
561C2×C4×D47#4114yes—
562C2×C4×D47#4114yes—
563C4⋊C4×C47—22no—
564C4⋊C4×C47—22no—
565C4⋊C4×C47—22no—
566C4⋊C4×C47—22no—
567C4⋊C4×C47—41no—
568C22⋊C4×C47—22no—
569C22⋊C4×C47—22no—
570C22⋊C4×C47—22no—
571C22⋊C4×C47—22no—
572C22⋊C4×C47—22no—
573C22⋊C4×C47—22no—
574C22⋊C4×C47—41no—
575C22⋊C4×C47—41no—
576C22⋊C4×C47—41no—
577C22⋊C4×C47—41no—
578C22⋊C4×C47—41no—
579C22⋊C4×C47C2×D414yescomplemented
580C42×C47—22no—
581C42×C47—41no—
582C22⋊Dic47—22no—
583C22⋊Dic47—22no—
584C22⋊Dic47—22no—
585C22⋊Dic47—22no—
586C22⋊Dic47—22no—
587C22⋊Dic47—22no—
588C22⋊Dic47—41no—
589C22⋊Dic47—41no—
590C22⋊Dic47—41no—
591C22⋊Dic47—41no—
592C22⋊Dic47—41no—
593C22⋊Dic47C2×D414yescomplemented
594(C2×D47)⋊C4—22no—
595(C2×D47)⋊C4—22no—
596(C2×D47)⋊C4—22no—
597(C2×D47)⋊C4—22no—
598(C2×D47)⋊C4—22no—
599(C2×D47)⋊C4—22no—
600(C2×D47)⋊C4—22no—
601(C2×D47)⋊C4—22no—
602(C2×D47)⋊C4—22no—
603(C2×D47)⋊C4—22no—
604(C2×D47)⋊C4—22no—
605(C2×D47)⋊C4—22no—
606(C2×D47)⋊C4—41no—
607(C2×D47)⋊C4—41no—
608(C2×D47)⋊C4—41no—
609(C2×D47)⋊C4—41no—
610(C2×D47)⋊C4—41no—
611(C2×D47)⋊C4—41no—
612(C2×D47)⋊C4—41no—
613(C2×D47)⋊C4—41no—
614(C2×D47)⋊C4—41no—
615(C2×D47)⋊C4—41no—
616(C2×D47)⋊C4C2×D414yescomplemented
617(C2×D47)⋊C4C2×D414yescomplemented
618C4⋊Dic47—22no—
619C4⋊Dic47—22no—
620C4⋊Dic47—22no—
621C4⋊Dic47—22no—
622C4⋊Dic47—41no—
623Dic47⋊C4—22no—
624Dic47⋊C4—22no—
625Dic47⋊C4—22no—
626Dic47⋊C4—22no—
627Dic47⋊C4—22no—
628Dic47⋊C4—22no—
629Dic47⋊C4—22no—
630Dic47⋊C4—22no—
631Dic47⋊C4—41no—
632Dic47⋊C4—41no—
633C4×Dic47—22no—
634C4×Dic47—22no—
635C4×Dic47—22no—
636C4×Dic47—41no—
637C4×Dic47—41no—
638C4×Dic47—41no—
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×C47C22×D412yes—
658C23×C47C2×#4112yes—
659C23×C47C2×#4112yes—
660C23×C47C2511yescharacteristic
661C22×D47—21no—
662C22×D47—21no—
663C22×D47—21no—
664C22×D47—21no—
665C22×D47—21no—
666C22×D47—21no—
667C22×D47—21no—
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—28no—
680C22×D47—28no—
681C22×D47—28no—
682C22×D47—28no—
683C22×D47—28no—
684C22×D47—28no—
685C22×D47—28no—
686C22×D47—28no—
687C22×D47—28no—
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×D47C22×D412yes—
702C22×D47C2×#4112yes—
703C22×D47C2×#4112yes—
704C22×D47C2×#4112yes—
705C22×D47C2×#4112yes—
706C22×D47C2×#4112yes—
707C22×D47C2×#4112yes—
708C22×D47H(5,𝔽2)12yes—
709C22×D47H(5,𝔽2)12yes—
710D4×C47—28no—
711D4×C47—44no—
712D4×C47—44no—
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—21no—
742C2×C4×C47—21no—
743C2×C4×C47—21no—
744C2×C4×C47—21no—
745C2×C4×C47—44no—
746C2×C4×C47—44no—
747C2×C4×C47—44no—
748C2×C4×C47C22×D412yes—
749C2×C4×C47C22×D412yes—
750C2×C4×C47C2×#4112yes—
751C2×C4×C47C2×#4112yes—
752C22⋊D47—28no—
753C22⋊D47—28no—
754C22⋊D47—44no—
755C22⋊D47—44no—
756C22⋊D47—44no—
757C22⋊D47—44no—
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—21no—
785C2×Dic47—21no—
786C2×Dic47—21no—
787C2×Dic47—21no—
788C2×Dic47—21no—
789C2×Dic47—21no—
790C2×Dic47—44no—
791C2×Dic47—44no—
792C2×Dic47—44no—
793C2×Dic47C22×D412yes—
794C2×Dic47C22×D412yes—
795C2×Dic47C2×#4112yes—
796C2×Dic47C2×#4112yes—
797D188—28no—
798D188—44no—
799D188—44no—
800C4×D47—28no—
801C4×D47—28no—
802C4×D47—28no—
803C4×D47—28no—
804C4×D47—44no—
805C4×D47—44no—
806C4×D47—44no—
807C4×D47—44no—
808C4×D47—44no—
809C4×D47—44no—
810C4×D47—44no—
811C4×D47—44no—
812C4×D47—44no—
813C4×D47—44no—
814C4×D47—44no—
815C4×D47—44no—
816C4×D47—44no—
817C4×D47—44no—
818C2×#2457—471nomaximal, Sylow
819C22×C47—22no—
820C22×C47—22no—
821C22×C47—22no—
822C22×C47—22no—
823C22×C47—22no—
824C22×C47—22no—
825C22×C47—22no—
826C22×C47—22no—
827C22×C47—22no—
828C22×C47—41no—
829C22×C47—41no—
830C22×C47—41no—
831C22×C47—41no—
832C22×C47—41no—
833C22×C47—41no—
834C22×C47—41no—
835C22×C47—41no—
836C22×C47—41no—
837C22×C47—41no—
838C22×C47—41no—
839C22×C47—41no—
840C22×C47C23×D411yescharacteristic
841C22×C47C22×#4111yescharacteristic
842C22×C47C22×#4111yescharacteristic
843C22×C47C22×#4111yescharacteristic
844C22×C47C22×#4111yescharacteristic
845C22×C47C2×H(5,𝔽2)11yescharacteristic
846C22×C47C2×H(5,𝔽2)11yescharacteristic
847C2×D47—22no—
848C2×D47—22no—
849C2×D47—22no—
850C2×D47—22no—
851C2×D47—22no—
852C2×D47—22no—
853C2×D47—22no—
854C2×D47—22no—
855C2×D47—22no—
856C2×D47—41no—
857C2×D47—41no—
858C2×D47—41no—
859C2×D47—41no—
860C2×D47—41no—
861C2×D47—41no—
862C2×D47—41no—
863C2×D47—41no—
864C2×D47—41no—
865C2×D47—41no—
866C2×D47—41no—
867C2×D47—41no—
868C2×D47—416no—
869C2×D47—416no—
870C2×D47—416no—
871C2×D47#52514yes—
872C2×D47#52914yes—
873C2×D47#54014yes—
874C2×D47#54614yes—
875C2×D47#54614yes—
876C2×D47#55114yes—
877C2×D47#55314yes—
878C4×C47—22no—
879C4×C47—22no—
880C4×C47—22no—
881C4×C47—22no—
882C4×C47—41no—
883C4×C47—41no—
884C4×C47—41no—
885C4×C47—41no—
886C4×C47—41no—
887C4×C47—41no—
888C4×C47—41no—
889C4×C47—41no—
890Dic47—22no—
891Dic47—22no—
892Dic47—22no—
893Dic47—22no—
894Dic47—41no—
895Dic47—41no—
896Dic47—41no—
897Dic47—41no—
898Dic47—41no—
899Dic47—41no—
900Dic47—41no—
901Dic47—41no—
902C22×#123—471no—
903C22×C4×D4—471no—
904#2457—471no—
905#2457—471no—
906#2457—471no—
907#2457—471no—
908#2457—471no—
909#2457—471no—
910#2457—471no—
911#2457—471no—
912#2457—471no—
913#2457—471no—
914#2457—471no—
915#2457—471no—
916#2457—471no—
917#2457—471no—
918#2457—471no—
919#2457D4711yescharacteristic, direct product factor
920C2×#400—471no—
921C2×#396—471no—
922C2×#394—471no—
923C2×#392—471no—
924C2×#388—471no—
925C2×#388—471no—
926C2×#387—471no—
927C2×#386—471no—
928C2×#386—471no—
929C2×#386—471no—
930C2×#381—471no—
931C2×#380—471no—
932C2×C4×C22⋊C4—471no—
933C2×C47—42no—
934C2×C47—42no—
935C2×C47—42no—
936C2×C47C2×#52511yescharacteristic
937C2×C47C2×#52911yescharacteristic
938C2×C47C2×#54011yescharacteristic
939C2×C47C2×#54611yescharacteristic
940C2×C47C2×#54611yescharacteristic
941C2×C47C2×#55111yescharacteristic
942C2×C47C2×#55311yescharacteristic
943D47—42no—
944D47—42no—
945D47—42no—
946D47#245718yesdirect product factor
947C23×D4—471no—
948C23×D4—471no—
949C23×D4—471no—
950C24×C4—471no—
951C24×C4—471no—
952C24×C4—471no—
953C2×#123—471no—
954C2×#123—471no—
955C2×#123—471no—
956C2×#123—471no—
957C2×#123—471no—
958C2×#123—471no—
959C2×#123—471no—
960C2×#123—948no—
961C2×#123C2×D4711yescharacteristic, complemented
962C2×C4×D4—471no—
963C2×C4×D4—471no—
964C2×C4×D4—471no—
965C2×C4×D4—471no—
966C2×C4×D4—471no—
967C2×C4×D4—471no—
968C2×C4×D4—471no—
969C2×C4×D4—948no—
970C2×C4×D4C2×D4711yescharacteristic, complemented
971C22×C4⋊C4—471no—
972C22×C4⋊C4—471no—
973C22×C4⋊C4—471no—
974C22×C4⋊C4—471no—
975C22×C4⋊C4—471no—
976C22×C22⋊C4—471no—
977C22×C22⋊C4—471no—
978C22×C22⋊C4—471no—
979C22×C22⋊C4—471no—
980C22×C22⋊C4—471no—
981C22×C22⋊C4—471no—
982C22×C22⋊C4—471no—
983C22×C22⋊C4—471no—
984C22×C22⋊C4—471no—
985C22×C22⋊C4—471no—
986C22×C22⋊C4—471no—
987C22×C22⋊C4—471no—
988C22×C42—471no—
989C22×C42—471no—
990#400—471no—
991#400—471no—
992#400—471no—
993#400—471no—
994#400—471no—
995#400—471no—
996#400—471no—
997#400C2×D4711yescharacteristic, complemented
998#396—471no—
999#396—471no—
1000#396—471no—
1001#396—471no—
1002#396—471no—
1003#396—471no—
1004#396—471no—
1005#396C2×D4711yescharacteristic, complemented
1006#394—471no—
1007#394—471no—
1008#394—471no—
1009#394—471no—
1010#394—471no—
1011#394—471no—
1012#394—471no—
1013#394C2×D4711yescharacteristic, complemented
1014#392—471no—
1015#392—471no—
1016#392—471no—
1017#392—471no—
1018#392—471no—
1019#392—471no—
1020#392—471no—
1021#392C2×D4711yescharacteristic
1022#388—471no—
1023#388—471no—
1024#388—471no—
1025#388—471no—
1026#388—471no—
1027#388—471no—
1028#388—471no—
1029#388—471no—
1030#388—471no—
1031#388—471no—
1032#388—471no—
1033#388—471no—
1034#388—471no—
1035#388—471no—
1036#388C2×D4711yescharacteristic, complemented
1037#388C2×D4711yescharacteristic, complemented
1038#387—471no—
1039#387—471no—
1040#387—471no—
1041#387—471no—
1042#387—471no—
1043#387—471no—
1044#387—471no—
1045#387C2×D4711yescharacteristic, complemented
1046#386—471no—
1047#386—471no—
1048#386—471no—
1049#386—471no—
1050#386—471no—
1051#386—471no—
1052#386—471no—
1053#386—471no—
1054#386—471no—
1055#386—471no—
1056#386—471no—
1057#386—471no—
1058#386—471no—
1059#386—471no—
1060#386—471no—
1061#386—471no—
1062#386—471no—
1063#386—471no—
1064#386—471no—
1065#386—471no—
1066#386—471no—
1067#386C2×D4711yescharacteristic, complemented
1068#386C2×D4711yescharacteristic, complemented
1069#386C2×D4711yescharacteristic, complemented
1070#381—471no—
1071#381—471no—
1072#381—471no—
1073#381—471no—
1074#381—471no—
1075#381—471no—
1076#381—471no—
1077#381C2×D4711yescharacteristic, complemented
1078#380—471no—
1079#380—471no—
1080#380—471no—
1081#380—471no—
1082#380—471no—
1083#380—471no—
1084#380—471no—
1085#380C2×D4711yescharacteristic, complemented
1086C4×C22⋊C4—471no—
1087C4×C22⋊C4—471no—
1088C4×C22⋊C4—471no—
1089C4×C22⋊C4—471no—
1090C4×C22⋊C4—471no—
1091C4×C22⋊C4—471no—
1092C4×C22⋊C4—471no—
1093C4×C22⋊C4C2×D4711yescharacteristic, complemented
1094C2×#95—471no—
1095C2×#95—471no—
1096C2×#95—471no—
1097C2×#95—471no—
1098C2×#95—471no—
1099C2×#95—471no—
1100C2×#95—471no—
1101C2×#95—471no—
1102C2×#95—471no—
1103C2×#95—471no—
1104C47C2×#245711yescharacteristic, complemented, Sylow
1105C25—471no—
1106C25—471no—
1107C25—471no—
1108C22×D4—471no—
1109C22×D4—471no—
1110C22×D4—471no—
1111C22×D4—471no—
1112C22×D4—471no—
1113C22×D4—471no—
1114C22×D4—471no—
1115C22×D4—471no—
1116C22×D4—471no—
1117C22×D4—944no—
1118C22×D4—944no—
1119C22×D4—944no—
1120C22×D4—944no—
1121C22×D4—944no—
1122C22×D4—944no—
1123C22×D4—944no—
1124C22×D4—1882no—
1125C22×D4—1882no—
1126C22×D4C22×D4711yescharacteristic
1127C22×D4C22×D4711yescharacteristic
1128C22×D4C22×D4711yescharacteristic
1129C23×C4—471no—
1130C23×C4—471no—
1131C23×C4—471no—
1132C23×C4—471no—
1133C23×C4—471no—
1134C23×C4—471no—
1135C23×C4—471no—
1136C23×C4—471no—
1137C23×C4—471no—
1138C23×C4—471no—
1139C23×C4—471no—
1140C23×C4—471no—
1141C23×C4—471no—
1142C23×C4—471no—
1143C23×C4—471no—
1144C23×C4—471no—
1145C23×C4—471no—
1146C23×C4—471no—
1147C23×C4—471no—
1148C23×C4—471no—
1149C23×C4—471no—
1150C23×C4—944no—
1151C23×C4—944no—
1152C23×C4—944no—
1153C23×C4—944no—
1154C23×C4—944no—
1155C23×C4—944no—
1156C23×C4—1882no—
1157C23×C4—1882no—
1158C23×C4—1882no—
1159C23×C4C22×D4711yescharacteristic
1160C23×C4C22×D4711yescharacteristic
1161C23×C4C22×D4711yescharacteristic
1162#123—24no—
1163#123—944no—
1164#123—944no—
1165#123—944no—
1166#123—944no—
1167#123—944no—
1168#123—944no—
1169#123—944no—
1170C4×D4—24no—
1171C4×D4—944no—
1172C4×D4—944no—
1173C4×D4—944no—
1174C4×D4—944no—
1175C4×D4—944no—
1176C4×D4—944no—
1177C4×D4—944no—
1178C2×C4⋊C4—471no—
1179C2×C4⋊C4—471no—
1180C2×C4⋊C4—471no—
1181C2×C4⋊C4—471no—
1182C2×C4⋊C4—471no—
1183C2×C4⋊C4—471no—
1184C2×C4⋊C4—471no—
1185C2×C4⋊C4—471no—
1186C2×C4⋊C4—471no—
1187C2×C4⋊C4—471no—
1188C2×C4⋊C4—471no—
1189C2×C4⋊C4—471no—
1190C2×C4⋊C4—471no—
1191C2×C4⋊C4—471no—
1192C2×C4⋊C4—471no—
1193C2×C4⋊C4—944no—
1194C2×C4⋊C4—944no—
1195C2×C4⋊C4—944no—
1196C2×C4⋊C4—944no—
1197C2×C4⋊C4—1882no—
1198C2×C4⋊C4C22×D4711yescharacteristic
1199C2×C4⋊C4C22×D4711yescharacteristic
1200C2×C4⋊C4C22×D4711yescharacteristic
1201C2×C4⋊C4C22×D4711yescharacteristic
1202C2×C4⋊C4C22×D4711yescharacteristic
1203C2×C22⋊C4—471no—
1204C2×C22⋊C4—471no—
1205C2×C22⋊C4—471no—
1206C2×C22⋊C4—478no—
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—471no—
1232C2×C22⋊C4—471no—
1233C2×C22⋊C4—471no—
1234C2×C22⋊C4—471no—
1235C2×C22⋊C4—471no—
1236C2×C22⋊C4—471no—
1237C2×C22⋊C4—471no—
1238C2×C22⋊C4—471no—
1239C2×C22⋊C4—471no—
1240C2×C22⋊C4—944no—
1241C2×C22⋊C4—944no—
1242C2×C22⋊C4—944no—
1243C2×C22⋊C4—944no—
1244C2×C22⋊C4—944no—
1245C2×C22⋊C4—944no—
1246C2×C22⋊C4—1882no—
1247C2×C22⋊C4—1882no—
1248C2×C22⋊C4—1882no—
1249C2×C22⋊C4—1882no—
1250C2×C22⋊C4—1882no—
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×C22⋊C4C22×D4711yescharacteristic
1260C2×C22⋊C4C22×D4711yescharacteristic
1261C2×C22⋊C4C22×D4711yescharacteristic
1262C2×C22⋊C4C22×D4711yescharacteristic
1263C2×C42—471no—
1264C2×C42—471no—
1265C2×C42—471no—
1266C2×C42—471no—
1267C2×C42—471no—
1268C2×C42—471no—
1269C2×C42—944no—
1270C2×C42—1882no—
1271C2×C42C22×D4711yescharacteristic
1272C2×C42C22×D4711yescharacteristic
1273#95—471no—
1274#95—471no—
1275#95—471no—
1276#95—471no—
1277#95—471no—
1278#95—471no—
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#95—471no—
1298#95—471no—
1299#95—471no—
1300#95—471no—
1301#95—471no—
1302#95—471no—
1303#95C22×D4711yescharacteristic
1304#95C22×D4711yescharacteristic
1305#95C22×D4711yescharacteristic
1306#95C22×D4711yescharacteristic
1307#95C22×D4711yescharacteristic
1308#95C22×D4711yescharacteristic
1309#95C22×D4711yescharacteristic
1310#95C22×D4711yescharacteristic
1311#95C22×D4711yescharacteristic
1312#95C22×D4711yescharacteristic
1313C24—471no—
1314C24—474no—
1315C24—474no—
1316C24—474no—
1317C24—471no—
1318C24—471no—
1319C24—471no—
1320C24—942no—
1321C24—942no—
1322C24—942no—
1323C24—942no—
1324C24—942no—
1325C24—942no—
1326C24—942no—
1327C24—942no—
1328C24—942no—
1329C24—942no—
1330C24—942no—
1331C24—942no—
1332C24—942no—
1333C24—942no—
1334C24—942no—
1335C24—942no—
1336C24—942no—
1337C24—942no—
1338C24C23×D4711yescharacteristic
1339C24C23×D4711yescharacteristic
1340C24C23×D4711yescharacteristic
1341C2×D4—22no—
1342C2×D4—22no—
1343C2×D4—22no—
1344C2×D4—22no—
1345C2×D4—22no—
1346C2×D4—22no—
1347C2×D4—22no—
1348C2×D4—41no—
1349C2×D4—41no—
1350C2×D4—942no—
1351C2×D4—942no—
1352C2×D4—942no—
1353C2×D4—942no—
1354C2×D4—942no—
1355C2×D4—942no—
1356C2×D4—942no—
1357C2×D4—942no—
1358C2×D4—9432no—
1359C2×D4—942no—
1360C2×D4—942no—
1361C2×D4—942no—
1362C2×D4—942no—
1363C2×D4—942no—
1364C2×D4—942no—
1365C2×D4—942no—
1366C2×D4—942no—
1367C2×D4—942no—
1368C2×D4—942no—
1369C2×D4—942no—
1370C2×D4—942no—
1371C2×D4—942no—
1372C2×D4—1881no—
1373C2×D4—1881no—
1374C2×D4—1881no—
1375C2×D4—1881no—
1376C2×D4—1881no—
1377C2×D4—1881no—
1378C2×D4—18816no—
1379C2×D4—18816no—
1380C22×C4—22no—
1381C22×C4—22no—
1382C22×C4—22no—
1383C22×C4—22no—
1384C22×C4—22no—
1385C22×C4—22no—
1386C22×C4—41no—
1387C22×C4—41no—
1388C22×C4—41no—
1389C22×C4—471no—
1390C22×C4—471no—
1391C22×C4—471no—
1392C22×C4—471no—
1393C22×C4—474no—
1394C22×C4—474no—
1395C22×C4—474no—
1396C22×C4—474no—
1397C22×C4—471no—
1398C22×C4—471no—
1399C22×C4—471no—
1400C22×C4—471no—
1401C22×C4—471no—
1402C22×C4—471no—
1403C22×C4—471no—
1404C22×C4—471no—
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—942no—
1428C22×C4—942no—
1429C22×C4—942no—
1430C22×C4—942no—
1431C22×C4—942no—
1432C22×C4—942no—
1433C22×C4—942no—
1434C22×C4—942no—
1435C22×C4—942no—
1436C22×C4—942no—
1437C22×C4—942no—
1438C22×C4—942no—
1439C22×C4—942no—
1440C22×C4—942no—
1441C22×C4—942no—
1442C22×C4—942no—
1443C22×C4—942no—
1444C22×C4—942no—
1445C22×C4—942no—
1446C22×C4—942no—
1447C22×C4—942no—
1448C22×C4—942no—
1449C22×C4—942no—
1450C22×C4—942no—
1451C22×C4—942no—
1452C22×C4—942no—
1453C22×C4—942no—
1454C22×C4—942no—
1455C22×C4—1881no—
1456C22×C4—1881no—
1457C22×C4—1881no—
1458C22×C4—1881no—
1459C22×C4—1881no—
1460C22×C4—1881no—
1461C22×C4—18816no—
1462C22×C4—18816no—
1463C22×C4—18816no—
1464C22×C4—1881no—
1465C22×C4—1881no—
1466C22×C4—1881no—
1467C22×C4C23×D4711yescharacteristic
1468C22×C4C23×D4711yescharacteristic
1469C22×C4C23×D4711yescharacteristic
1470C22×C4C23×D4711yescharacteristic
1471C22×C4C23×D4711yescharacteristic
1472C22×C4C23×D4711yescharacteristic
1473C22×C4C23×D4711yescharacteristic
1474C22×C4C23×D4711yescharacteristic
1475C22×C4C23×D4711yescharacteristic
1476C22×C4C23×D4711yescharacteristic
1477C22×C4C23×D4711yescharacteristic
1478C22×C4C23×D4711yescharacteristic
1479C4⋊C4—22no—
1480C4⋊C4—22no—
1481C4⋊C4—22no—
1482C4⋊C4—22no—
1483C4⋊C4—41no—
1484C4⋊C4—942no—
1485C4⋊C4—942no—
1486C4⋊C4—942no—
1487C4⋊C4—942no—
1488C4⋊C4—942no—
1489C4⋊C4—942no—
1490C4⋊C4—942no—
1491C4⋊C4—942no—
1492C4⋊C4—942no—
1493C4⋊C4—942no—
1494C4⋊C4—942no—
1495C4⋊C4—942no—
1496C4⋊C4—1881no—
1497C4⋊C4—1881no—
1498C4⋊C4—1881no—
1499C22⋊C4—22no—
1500C22⋊C4—22no—
1501C22⋊C4—22no—
1502C22⋊C4—22no—
1503C22⋊C4—22no—
1504C22⋊C4—22no—
1505C22⋊C4—41no—
1506C22⋊C4—41no—
1507C22⋊C4—41no—
1508C22⋊C4—41no—
1509C22⋊C4—41no—
1510C22⋊C4—474no—
1511C22⋊C4—474no—
1512C22⋊C4—474no—
1513C22⋊C4—942no—
1514C22⋊C4—942no—
1515C22⋊C4—942no—
1516C22⋊C4—942no—
1517C22⋊C4—942no—
1518C22⋊C4—942no—
1519C22⋊C4—942no—
1520C22⋊C4—942no—
1521C22⋊C4—942no—
1522C22⋊C4—942no—
1523C22⋊C4—942no—
1524C22⋊C4—942no—
1525C22⋊C4—942no—
1526C22⋊C4—942no—
1527C22⋊C4—942no—
1528C22⋊C4—942no—
1529C22⋊C4—942no—
1530C22⋊C4—942no—
1531C22⋊C4—1881no—
1532C22⋊C4—1881no—
1533C22⋊C4—1881no—
1534C22⋊C4—1881no—
1535C22⋊C4—1881no—
1536C22⋊C4—1881no—
1537C22⋊C4—1881no—
1538C22⋊C4—1881no—
1539C22⋊C4—1881no—
1540C22⋊C4—1881no—
1541C22⋊C4—1881no—
1542C22⋊C4—1881no—
1543C22⋊C4—1881no—
1544C22⋊C4—1881no—
1545C22⋊C4—1881no—
1546C22⋊C4D4×D4714yescomplemented
1547C42—22no—
1548C42—41no—
1549C42—942no—
1550C42—942no—
1551C42—942no—
1552C42—1881no—
1553C42—1881no—
1554C42—1881no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—21no—
1572C23—21no—
1573C23—472no—
1574C23—472no—
1575C23—472no—
1576C23—472no—
1577C23—472no—
1578C23—472no—
1579C23—472no—
1580C23—472no—
1581C23—472no—
1582C23—472no—
1583C23—948no—
1584C23—948no—
1585C23—948no—
1586C23—948no—
1587C23—948no—
1588C23—948no—
1589C23—948no—
1590C23—948no—
1591C23—948no—
1592C23—941no—
1593C23—941no—
1594C23—941no—
1595C23—941no—
1596C23—941no—
1597C23—941no—
1598C23—941no—
1599C23—941no—
1600C23—941no—
1601C23—941no—
1602C23—941no—
1603C23—941no—
1604C23—941no—
1605C23—941no—
1606C23—941no—
1607C23—941no—
1608C23—941no—
1609C23—941no—
1610C23—1884no—
1611C23—1884no—
1612C23—1884no—
1613C23—1884no—
1614C23—1884no—
1615C23—1884no—
1616C23—1884no—
1617C23—1884no—
1618C23—1884no—
1619C23—1884no—
1620C23—1884no—
1621C23—1884no—
1622C23C2×D4×D4712yes—
1623C23#41×D4712yes—
1624C23#41×D4712yes—
1625C23C24×D4711yescharacteristic
1626D4—28no—
1627D4—44no—
1628D4—44no—
1629D4—948no—
1630D4—948no—
1631D4—948no—
1632D4—1884no—
1633D4—1884no—
1634D4—1884no—
1635D4—1884no—
1636D4—1884no—
1637D4—1884no—
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—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—44no—
1671C2×C4—44no—
1672C2×C4—44no—
1673C2×C4—472no—
1674C2×C4—472no—
1675C2×C4—472no—
1676C2×C4—472no—
1677C2×C4—948no—
1678C2×C4—948no—
1679C2×C4—948no—
1680C2×C4—948no—
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—941no—
1700C2×C4—941no—
1701C2×C4—941no—
1702C2×C4—941no—
1703C2×C4—941no—
1704C2×C4—941no—
1705C2×C4—941no—
1706C2×C4—941no—
1707C2×C4—941no—
1708C2×C4—941no—
1709C2×C4—941no—
1710C2×C4—941no—
1711C2×C4—941no—
1712C2×C4—941no—
1713C2×C4—1884no—
1714C2×C4—1884no—
1715C2×C4—1884no—
1716C2×C4—1884no—
1717C2×C4—1884no—
1718C2×C4—1884no—
1719C2×C4—1884no—
1720C2×C4—1884no—
1721C2×C4—1884no—
1722C2×C4—1884no—
1723C2×C4—1884no—
1724C2×C4—1884no—
1725C2×C4—1884no—
1726C2×C4—1884no—
1727C2×C4—1884no—
1728C2×C4—1884no—
1729C2×C4—1884no—
1730C2×C4C2×D4×D4712yes—
1731C2×C4C2×D4×D4712yes—
1732C2×C4#41×D4712yes—
1733C2×C4#41×D4712yes—
1734C22—22no—
1735C22—22no—
1736C22—22no—
1737C22—22no—
1738C22—22no—
1739C22—22no—
1740C22—22no—
1741C22—22no—
1742C22—22no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—41no—
1753C22—41no—
1754C22—41no—
1755C22—474no—
1756C22—474no—
1757C22—474no—
1758C22—474no—
1759C22—474no—
1760C22—474no—
1761C22—474no—
1762C22—942no—
1763C22—942no—
1764C22—942no—
1765C22—942no—
1766C22—942no—
1767C22—942no—
1768C22—942no—
1769C22—942no—
1770C22—942no—
1771C22—18816no—
1772C22—18816no—
1773C22—18816no—
1774C22—1881no—
1775C22—1881no—
1776C22—1881no—
1777C22—1881no—
1778C22—1881no—
1779C22—1881no—
1780C22—1881no—
1781C22—1881no—
1782C22—1881no—
1783C22—1881no—
1784C22—1881no—
1785C22—1881no—
1786C22C22×D4×D4711yescharacteristic
1787C22C2×#41×D4711yescharacteristic
1788C22C2×#41×D4711yescharacteristic
1789C22C2×#41×D4711yescharacteristic
1790C22C2×#41×D4711yescharacteristic
1791C22H(5,𝔽2)×D4711yescharacteristic
1792C22H(5,𝔽2)×D4711yescharacteristic
1793C4—22no—
1794C4—22no—
1795C4—22no—
1796C4—22no—
1797C4—41no—
1798C4—41no—
1799C4—41no—
1800C4—41no—
1801C4—41no—
1802C4—41no—
1803C4—41no—
1804C4—41no—
1805C4—942no—
1806C4—942no—
1807C4—942no—
1808C4—942no—
1809C4—1881no—
1810C4—1881no—
1811C4—1881no—
1812C4—1881no—
1813C4—1881no—
1814C4—1881no—
1815C4—1881no—
1816C4—1881no—
1817C2—42no—
1818C2—42no—
1819C2—42no—
1820C2—478no—
1821C2—1882no—
1822C2—1882no—
1823C2—1882no—
1824C2#525×D4711yescharacteristic
1825C2#529×D4711yescharacteristic
1826C2#540×D4711yescharacteristic
1827C2#546×D4711yescharacteristic
1828C2#546×D4711yescharacteristic
1829C2#551×D4711yescharacteristic
1830C2#553×D4711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2457C2
prime radical#392×D47C2
hypercenter#2457D47
hypocenterC47C2×#2457
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2457

Complements

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

NH ≅ G/Ntype
1. C2×#123×D47C2semidirect
2. C2×C4×D4×D47C2semidirect
3. #20247302C2semidirect
4. #20247301C2semidirect
5. #20247300C2semidirect
6. #20247299C2semidirect
7. #20247298C2semidirect
8. #20247297C2semidirect
9. #20247296C2semidirect
10. #20247295C2semidirect
11. #20247294C2semidirect
12. #20247293C2semidirect
13. #20247292C2semidirect
14. #20247291C2semidirect
15. #20247290C2semidirect
16. #20247289C2semidirect
17. #20247288C2semidirect
18. #400×D47C2semidirect
19. #396×D47C2semidirect
20. #394×D47C2semidirect
22. #388×D47C2semidirect
23. #388×D47C2semidirect
24. #387×D47C2semidirect
25. #386×D47C2semidirect
26. #386×D47C2semidirect
27. #386×D47C2semidirect
28. #381×D47C2semidirect
29. #380×D47C2semidirect
30. C4×C22⋊C4×D47C2semidirect
31. C47×#2457C2semidirect
38. C2×#13094009C22semidirect
39. C2×#13094009C22semidirect
40. C2×#13094008C22semidirect
41. C2×#13094007C22semidirect
42. C2×#13094006C22semidirect
43. C2×#13094006C22semidirect
44. C2×#13094005C22semidirect
46. C2×C4×D188C22semidirect
47. C2×D4×Dic47C22semidirect
48. C2×#13093986C22semidirect
49. C2×C4×C22⋊D47C22semidirect
50. C2×C4×C22⋊D47C22semidirect
51. C2×(C22⋊D47)⋊C4C22semidirect
52. C2×(C22⋊D47)⋊C4C22semidirect
73. #15689065C22semidirect
74. #15689065C22semidirect
75. #15689064C22semidirect
76. #15689064C22semidirect
77. #15689063C22semidirect
78. #15689062C22semidirect
79. #15689061C22semidirect
80. #15689047C22semidirect
81. #15689046C22semidirect
82. #15689046C22semidirect
83. #15689046C22semidirect
84. #15689045C22semidirect
85. #15689045C22semidirect
86. #15689045C22semidirect
87. #15689041C22semidirect
88. #15689040C22semidirect
89. #15689039C22semidirect
90. #15689039C22semidirect
91. #15689038C22semidirect
92. #15689038C22semidirect
93. #15689037C22semidirect
101. #15689017C22semidirect
102. #15689017C22semidirect
103. #15689016C22semidirect
104. #15689016C22semidirect
105. #15689015C22semidirect
106. #15689015C22semidirect
107. #15689014C22semidirect
108. #15689014C22semidirect
109. #15689013C22semidirect
110. #15689013C22semidirect
111. #15689012C22semidirect
112. #15689012C22semidirect
113. #15689011C22semidirect
114. #15689011C22semidirect
115. #15689010C22semidirect
116. #15689009C22semidirect
117. #15689008C22semidirect
118. #15689007C22semidirect
119. #15689006C22semidirect
120. #15689005C22semidirect
121. #15689004C22semidirect
122. #15689003C22semidirect
123. #15689003C22semidirect
124. #15689003C22semidirect
125. #15689002C22semidirect
126. #15689002C22semidirect
127. #15689002C22semidirect
128. #15689001C22semidirect
129. #15689001C22semidirect
130. #15689001C22semidirect
131. #15689001C22semidirect
132. #15689001C22semidirect
133. #15689001C22semidirect
134. #15689000C22semidirect
135. #15689000C22semidirect
136. #15689000C22semidirect
137. #15688999C22semidirect
138. #15688999C22semidirect
139. #15688999C22semidirect
140. #15688999C22semidirect
141. #15688999C22semidirect
142. #15688999C22semidirect
143. #15688986C22semidirect
144. #15688985C22semidirect
145. #15688985C22semidirect
146. #15688985C22semidirect
147. #15688985C22semidirect
148. #15688984C22semidirect
149. #15688984C22semidirect
150. #15688983C22semidirect
151. #15688982C22semidirect
152. #15688982C22semidirect
153. #15688981C22semidirect
154. #15688981C22semidirect
155. #15688980C22semidirect
156. #15688980C22semidirect
157. C22⋊C4×Dic47C22semidirect
158. C22⋊C4×Dic47C22semidirect
159. C4×(C2×D47)⋊C4C22semidirect
160. C4×(C2×D47)⋊C4C22semidirect
161. C4×C22⋊Dic47C22semidirect
162. #15688970C22semidirect
163. #15688970C22semidirect
174. C2×#123×C47C22semidirect
175. C2×C4×D4×C47C22semidirect
176. C47×#400C22semidirect
177. C47×#396C22semidirect
178. C47×#394C22semidirect
180. C47×#388C22semidirect
181. C47×#388C22semidirect
182. C47×#387C22semidirect
183. C47×#386C22semidirect
184. C47×#386C22semidirect
185. C47×#386C22semidirect
186. C47×#381C22semidirect
187. C47×#380C22semidirect
188. C4×C22⋊C4×C47C22semidirect
321. C22⋊C4×D47D4semidirect
579. C22⋊C4×C47C2×D4semidirect
593. C22⋊Dic47C2×D4semidirect
616. (C2×D47)⋊C4C2×D4semidirect
617. (C2×D47)⋊C4C2×D4semidirect
919. #2457D47direct (N × H)
946. D47#2457direct (N × H)
961. C2×#123C2×D47semidirect
970. C2×C4×D4C2×D47semidirect
997. #400C2×D47semidirect
1005. #396C2×D47semidirect
1013. #394C2×D47semidirect
1036. #388C2×D47semidirect
1037. #388C2×D47semidirect
1045. #387C2×D47semidirect
1067. #386C2×D47semidirect
1068. #386C2×D47semidirect
1069. #386C2×D47semidirect
1077. #381C2×D47semidirect
1085. #380C2×D47semidirect
1093. C4×C22⋊C4C2×D47semidirect
1104. C47C2×#2457semidirect
1546. C22⋊C4D4×D47semidirect

Maximal subgroups

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

subgroupindex
C2×#123×D472
C2×C4×D4×D472
#202473022
#202473012
#202473002
#202472992
#202472982
#202472972
#202472962
#202472952
#202472942
#202472932
#202472922
#202472912
#202472902
#202472892
#202472882
#400×D472
#396×D472
#394×D472
#392×D472
#388×D472
#387×D472
#386×D472
#381×D472
#380×D472
C4×C22⋊C4×D472
C47×#24572
C2×#245747