Finite Group Databasebeta

← D47×#2630 #26382653

Subgroups — D47×#2630 #26382653

Order 12032.

3218 conjugacy classes of subgroups.

The subgroup lattice has 1822 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#20249238C211yesmaximal, characteristic, complemented
4#20249237C211yesmaximal, characteristic, complemented
5#20249236C211yesmaximal, characteristic, complemented
6#20249235C211yesmaximal, characteristic, complemented
7#20249234C211yesmaximal, characteristic, complemented
8#20249233C211yesmaximal, characteristic, complemented
9#20249232C211yesmaximal, characteristic, complemented
10#20249231C211yesmaximal, characteristic, complemented
11#20249230C211yesmaximal, characteristic, complemented
12#20249229C211yesmaximal, characteristic, complemented
13#20249228C211yesmaximal, characteristic, complemented
14#20249227C211yesmaximal, characteristic, complemented
15#20249226C211yesmaximal, characteristic, complemented
16#20249225C211yesmaximal, characteristic, complemented
17#20249224C211yesmaximal, characteristic, complemented
18#398×D47C211yesmaximal, characteristic, complemented
19#397×D47C211yesmaximal, characteristic, complemented
20#396×D47C211yesmaximal, characteristic, complemented
21#396×D47C211yesmaximal, characteristic, complemented
22#394×D47C211yesmaximal, characteristic, complemented
23#394×D47C211yesmaximal, characteristic, complemented
24#394×D47C211yesmaximal, characteristic, complemented
25#392×D47C211yesmaximal, characteristic
26#388×D47C211yesmaximal, characteristic, complemented
27#387×D47C211yesmaximal, characteristic, complemented
28#386×D47C211yesmaximal, characteristic, complemented
29#385×D47C211yesmaximal, characteristic, complemented
30#380×D47C211yesmaximal, characteristic, complemented
31C47×#2630C211yesmaximal, characteristic, complemented
32C22×D4×D47C2211yescharacteristic
33C22×D4×D47C2211yescharacteristic
34C22×D4×D47C2211yescharacteristic
35C23×C4×D47C2211yescharacteristic
36C23×C4×D47C2211yescharacteristic
37C2×#13094009C2211yescharacteristic, complemented
38C2×#13094009C2211yescharacteristic, complemented
39C2×#13094008C2211yescharacteristic, complemented
40C2×#13094007C2211yescharacteristic, complemented
41C2×#13094006C2211yescharacteristic, complemented
42C2×#13094006C2211yescharacteristic, complemented
43C2×#13094005C2211yescharacteristic, complemented
44#123×D47—28no—
45C2×C4×D188C2211yescharacteristic, complemented
46C2×D4×Dic47C2211yescharacteristic, complemented
47C2×#13093986C2211yescharacteristic, complemented
48C2×C4×C22⋊D47C2211yescharacteristic, complemented
49C2×C4×C22⋊D47C2211yescharacteristic, complemented
50C2×(C22⋊D47)⋊C4C2211yescharacteristic, complemented
51C2×(C22⋊D47)⋊C4C2211yescharacteristic, complemented
52C4×D4×D47—28no—
53C2×C4⋊C4×D47C2211yescharacteristic
54C2×C4⋊C4×D47C2211yescharacteristic
55C2×C4⋊C4×D47C2211yescharacteristic
56C2×C4⋊C4×D47C2211yescharacteristic
57C2×C4⋊C4×D47C2211yescharacteristic
58C2×C4⋊C4×D47C2211yescharacteristic
59C2×C4⋊C4×D47C2211yescharacteristic
60C2×C4⋊C4×D47C2211yescharacteristic
61C2×C22⋊C4×D47C2211yescharacteristic
62C2×C22⋊C4×D47C2211yescharacteristic
63C2×C22⋊C4×D47C2211yescharacteristic
64C2×C22⋊C4×D47C2211yescharacteristic
65C2×C22⋊C4×D47C2211yescharacteristic
66C2×C22⋊C4×D47C2211yescharacteristic
67C2×C22⋊C4×D47C2211yescharacteristic
68C2×C22⋊C4×D47C2211yescharacteristic
69C2×C22⋊C4×D47C2211yescharacteristic
70C2×C22⋊C4×D47C2211yescharacteristic
71C2×C22⋊C4×D47C2211yescharacteristic
72C2×C22⋊C4×D47C2211yescharacteristic
73C2×C22⋊C4×D47C2211yescharacteristic
74C2×C42×D47C2211yescharacteristic
75#15689057C2211yescharacteristic, complemented
76#15689057C2211yescharacteristic, complemented
77#15689056C2211yescharacteristic, complemented
78#15689056C2211yescharacteristic, complemented
79#15689055C2211yescharacteristic, complemented
80#15689054C2211yescharacteristic, complemented
81#15689053C2211yescharacteristic, complemented
82#15689052C2211yescharacteristic, complemented
83#15689052C2211yescharacteristic, complemented
84#15689051C2211yescharacteristic, complemented
85#15689051C2211yescharacteristic, complemented
86#15689050C2211yescharacteristic, complemented
87#15689049C2211yescharacteristic, complemented
88#15689048C2211yescharacteristic, complemented
89#15689047C2211yescharacteristic, complemented
90#15689047C2211yescharacteristic, complemented
91#15689046C2211yescharacteristic, complemented
92#15689046C2211yescharacteristic, complemented
93#15689046C2211yescharacteristic, complemented
94#15689046C2211yescharacteristic, complemented
95#15689046C2211yescharacteristic, complemented
96#15689046C2211yescharacteristic, complemented
97#15689045C2211yescharacteristic, complemented
98#15689045C2211yescharacteristic, complemented
99#15689045C2211yescharacteristic, complemented
100#15689045C2211yescharacteristic, complemented
101#15689045C2211yescharacteristic, complemented
102#15689045C2211yescharacteristic, complemented
103#15689041C2211yescharacteristic, complemented
104#15689041C2211yescharacteristic, complemented
105#15689041C2211yescharacteristic, complemented
106#15689040C2211yescharacteristic, complemented
107#15689040C2211yescharacteristic, complemented
108#15689040C2211yescharacteristic, complemented
109#15689039C2211yescharacteristic, complemented
110#15689039C2211yescharacteristic, complemented
111#15689039C2211yescharacteristic, complemented
112#15689039C2211yescharacteristic, complemented
113#15689039C2211yescharacteristic, complemented
114#15689039C2211yescharacteristic, complemented
115#15689038C2211yescharacteristic, complemented
116#15689038C2211yescharacteristic, complemented
117#15689038C2211yescharacteristic, complemented
118#15689038C2211yescharacteristic, complemented
119#15689038C2211yescharacteristic, complemented
120#15689038C2211yescharacteristic, complemented
121#15689037C2211yescharacteristic, complemented
122#15689037C2211yescharacteristic, complemented
123#15689037C2211yescharacteristic, complemented
124#15689033C2211yescharacteristic
125#15689032C2211yescharacteristic
126#15689032C2211yescharacteristic
127#15689032C2211yescharacteristic
128#15689031C2211yescharacteristic
129#15689031C2211yescharacteristic
130#15689031C2211yescharacteristic
131#15689017C2211yescharacteristic, complemented
132#15689016C2211yescharacteristic, complemented
133#15689015C2211yescharacteristic, complemented
134#15689014C2211yescharacteristic, complemented
135#15689013C2211yescharacteristic, complemented
136#15689012C2211yescharacteristic, complemented
137#15689011C2211yescharacteristic, complemented
138#15689010C2211yescharacteristic, complemented
139#15689009C2211yescharacteristic, complemented
140#15689008C2211yescharacteristic, complemented
141#15689007C2211yescharacteristic, complemented
142#15689006C2211yescharacteristic, complemented
143#15689005C2211yescharacteristic, complemented
144#15689004C2211yescharacteristic, complemented
145#15689003C2211yescharacteristic, complemented
146#15689002C2211yescharacteristic, complemented
147#15689001C2211yescharacteristic, complemented
148#15689001C2211yescharacteristic, complemented
149#15689000C2211yescharacteristic, complemented
150#15688999C2211yescharacteristic, complemented
151#15688999C2211yescharacteristic, complemented
152#15688998C2211yescharacteristic, complemented
153#15688997C2211yescharacteristic, complemented
154#15688997C2211yescharacteristic, complemented
155#15688996C2211yescharacteristic, complemented
156#15688995C2211yescharacteristic, complemented
157#15688994C2211yescharacteristic, complemented
158#15688994C2211yescharacteristic, complemented
159#15688983C2211yescharacteristic, complemented
160#15688982C2211yescharacteristic, complemented
161#15688982C2211yescharacteristic, complemented
162#15688981C2211yescharacteristic, complemented
163#15688981C2211yescharacteristic, complemented
164#15688980C2211yescharacteristic, complemented
165#15688980C2211yescharacteristic, complemented
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×#398C2211yescharacteristic, complemented
177C47×#397C2211yescharacteristic, complemented
178C47×#396C2211yescharacteristic, complemented
179C47×#396C2211yescharacteristic, complemented
180C47×#394C2211yescharacteristic, complemented
181C47×#394C2211yescharacteristic, complemented
182C47×#394C2211yescharacteristic, complemented
183C47×#392C2211yescharacteristic
184C47×#388C2211yescharacteristic, complemented
185C47×#387C2211yescharacteristic, complemented
186C47×#386C2211yescharacteristic, complemented
187C47×#385C2211yescharacteristic, complemented
188C47×#380C2211yescharacteristic, complemented
189C24×D47C2311yescharacteristic
190C24×D47C2311yescharacteristic
191C24×D47C2311yescharacteristic
192C22×D188C2311yescharacteristic
193C22×D188C2311yescharacteristic
194C22×D188C2311yescharacteristic
195C22×C22⋊D47C2311yescharacteristic
196C22×C22⋊D47C2311yescharacteristic
197C22×C22⋊D47C2311yescharacteristic
198C22×C22⋊D47C2311yescharacteristic
199C22×C22⋊D47C2311yescharacteristic
200C22×C22⋊D47C2311yescharacteristic
201C2×D4×D47—24no—
202C2×D4×D47—24no—
203C2×D4×D47—24no—
204C2×D4×D47—24no—
205C2×D4×D47—24no—
206C2×D4×D47—42no—
207C2×D4×D47—42no—
208C2×D4×D47—42no—
209C2×D4×D47—42no—
210C23×Dic47C2311yescharacteristic
211C23×Dic47C2311yescharacteristic
212C22×C4×D47—24no—
213C22×C4×D47—42no—
214C22×C4×D47—42no—
215C22×C4×D47—42no—
216C22×C4×D47—42no—
217C22×C4×D47D418yescomplemented
218C22×C4×D47C2311yescharacteristic
219C22×C4×D47C2311yescharacteristic
220C22×C4×D47C2311yescharacteristic
221C22×C4×D47C2311yescharacteristic
222C22×C4×D47C2311yescharacteristic
223C22×C4×D47C2311yescharacteristic
224C22×C4×D47C2311yescharacteristic
225C22×C4×D47C2311yescharacteristic
226C22×C4×D47C2311yescharacteristic
227C22×C4×D47C2311yescharacteristic
228C22×C4×D47C2311yescharacteristic
229C22×C4×D47C2311yescharacteristic
230C22×C4×D47C2311yescharacteristic
231C22×C4×D47C2311yescharacteristic
232C22×C4×D47C2311yescharacteristic
233C22×C4×D47C2311yescharacteristic
234#13094009—24no—
235#13094009—24no—
236#13094008—24no—
237#13094007—24no—
238#13094006—24no—
239#13094006—24no—
240#13094005—24no—
241C4×D188—24no—
242D4×Dic47—24no—
243#13093986—24no—
244C4×C22⋊D47—24no—
245C4×C22⋊D47—24no—
246(C22⋊D47)⋊C4—24no—
247(C22⋊D47)⋊C4—24no—
248C2×C4⋊Dic47C2311yescharacteristic
249C2×C4⋊Dic47C2311yescharacteristic
250C2×C4⋊Dic47C2311yescharacteristic
251C2×C4⋊Dic47C2311yescharacteristic
252C2×C4⋊Dic47C2311yescharacteristic
253C2×C4⋊Dic47C2311yescharacteristic
254C2×C4⋊Dic47C2311yescharacteristic
255C2×C4⋊Dic47C2311yescharacteristic
256C2×Dic47⋊C4C2311yescharacteristic
257C2×Dic47⋊C4C2311yescharacteristic
258C2×Dic47⋊C4C2311yescharacteristic
259C2×Dic47⋊C4C2311yescharacteristic
260C2×Dic47⋊C4C2311yescharacteristic
261C2×Dic47⋊C4C2311yescharacteristic
262C2×Dic47⋊C4C2311yescharacteristic
263C2×Dic47⋊C4C2311yescharacteristic
264C2×Dic47⋊C4C2311yescharacteristic
265C2×Dic47⋊C4C2311yescharacteristic
266C2×Dic47⋊C4C2311yescharacteristic
267C2×Dic47⋊C4C2311yescharacteristic
268C2×Dic47⋊C4C2311yescharacteristic
269C2×Dic47⋊C4C2311yescharacteristic
270C2×Dic47⋊C4C2311yescharacteristic
271C2×Dic47⋊C4C2311yescharacteristic
272C4⋊C4×D47—24no—
273C4⋊C4×D47—24no—
274C4⋊C4×D47—24no—
275C4⋊C4×D47—24no—
276C4⋊C4×D47—42no—
277C4⋊C4×D47—42no—
278C4⋊C4×D47—42no—
279C4⋊C4×D47—42no—
280C2×C22⋊Dic47C2311yescharacteristic
281C2×C22⋊Dic47C2311yescharacteristic
282C2×C22⋊Dic47C2311yescharacteristic
283C2×C22⋊Dic47C2311yescharacteristic
284C2×C22⋊Dic47C2311yescharacteristic
285C2×C22⋊Dic47C2311yescharacteristic
286C2×C22⋊Dic47C2311yescharacteristic
287C2×C22⋊Dic47C2311yescharacteristic
288C2×C22⋊Dic47C2311yescharacteristic
289C2×C22⋊Dic47C2311yescharacteristic
290C2×C22⋊Dic47C2311yescharacteristic
291C2×C22⋊Dic47C2311yescharacteristic
292C2×C22⋊Dic47C2311yescharacteristic
293C2×(C2×D47)⋊C4C2311yescharacteristic
294C2×(C2×D47)⋊C4C2311yescharacteristic
295C2×(C2×D47)⋊C4C2311yescharacteristic
296C2×(C2×D47)⋊C4C2311yescharacteristic
297C2×(C2×D47)⋊C4C2311yescharacteristic
298C2×(C2×D47)⋊C4C2311yescharacteristic
299C2×(C2×D47)⋊C4C2311yescharacteristic
300C2×(C2×D47)⋊C4C2311yescharacteristic
301C2×(C2×D47)⋊C4C2311yescharacteristic
302C2×(C2×D47)⋊C4C2311yescharacteristic
303C2×(C2×D47)⋊C4C2311yescharacteristic
304C2×(C2×D47)⋊C4C2311yescharacteristic
305C2×(C2×D47)⋊C4C2311yescharacteristic
306C2×(C2×D47)⋊C4C2311yescharacteristic
307C2×(C2×D47)⋊C4C2311yescharacteristic
308C2×(C2×D47)⋊C4C2311yescharacteristic
309C2×(C2×D47)⋊C4C2311yescharacteristic
310C2×(C2×D47)⋊C4C2311yescharacteristic
311C2×(C2×D47)⋊C4C2311yescharacteristic
312C2×(C2×D47)⋊C4C2311yescharacteristic
313C2×(C2×D47)⋊C4C2311yescharacteristic
314C2×(C2×D47)⋊C4C2311yescharacteristic
315C2×(C2×D47)⋊C4C2311yescharacteristic
316C2×(C2×D47)⋊C4C2311yescharacteristic
317C2×(C2×D47)⋊C4C2311yescharacteristic
318C2×(C2×D47)⋊C4C2311yescharacteristic
319C22⋊C4×D47—24no—
320C22⋊C4×D47—24no—
321C22⋊C4×D47—24no—
322C22⋊C4×D47—24no—
323C22⋊C4×D47—24no—
324C22⋊C4×D47—24no—
325C22⋊C4×D47—24no—
326C22⋊C4×D47—42no—
327C22⋊C4×D47—42no—
328C22⋊C4×D47—42no—
329C22⋊C4×D47—42no—
330C22⋊C4×D47—42no—
331C22⋊C4×D47—42no—
332C2×C4×Dic47C2311yescharacteristic
333C2×C4×Dic47C2311yescharacteristic
334C2×C4×Dic47C2311yescharacteristic
335C42×D47—24no—
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
365#123×C47—24no—
366C4×D4×C47—24no—
367C2×C4⋊C4×C47C2311yescharacteristic
368C2×C4⋊C4×C47C2311yescharacteristic
369C2×C4⋊C4×C47C2311yescharacteristic
370C2×C4⋊C4×C47C2311yescharacteristic
371C2×C4⋊C4×C47C2311yescharacteristic
372C2×C4⋊C4×C47C2311yescharacteristic
373C2×C4⋊C4×C47C2311yescharacteristic
374C2×C4⋊C4×C47C2311yescharacteristic
375C2×C22⋊C4×C47C2311yescharacteristic
376C2×C22⋊C4×C47C2311yescharacteristic
377C2×C22⋊C4×C47C2311yescharacteristic
378C2×C22⋊C4×C47C2311yescharacteristic
379C2×C22⋊C4×C47C2311yescharacteristic
380C2×C22⋊C4×C47C2311yescharacteristic
381C2×C22⋊C4×C47C2311yescharacteristic
382C2×C22⋊C4×C47C2311yescharacteristic
383C2×C22⋊C4×C47C2311yescharacteristic
384C2×C22⋊C4×C47C2311yescharacteristic
385C2×C22⋊C4×C47C2311yescharacteristic
386C2×C22⋊C4×C47C2311yescharacteristic
387C2×C22⋊C4×C47C2311yescharacteristic
388C2×C42×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×D47—22no—
419C23×D47C2×D414yes—
420C23×D47#4114yes—
421C23×D47C2411yescharacteristic
422C23×D47C2411yescharacteristic
423C23×D47C2411yescharacteristic
424C23×D47C2411yescharacteristic
425C2×D4×C47—22no—
426C2×D4×C47—22no—
427C2×D4×C47—22no—
428C2×D4×C47—22no—
429C2×D4×C47—22no—
430C2×D4×C47—41no—
431C2×D4×C47—41no—
432C2×D4×C47—41no—
433C2×D4×C47—41no—
434C22×C4×C47—22no—
435C22×C4×C47—41no—
436C22×C4×C47—41no—
437C22×C4×C47—41no—
438C22×C4×C47—41no—
439C22×C4×C47C2×D414yescomplemented
440C22×C4×C47C2411yescharacteristic
441C22×C4×C47C2411yescharacteristic
442C22×C4×C47C2411yescharacteristic
443C22×C4×C47C2411yescharacteristic
444C22×C4×C47C2411yescharacteristic
445C22×C4×C47C2411yescharacteristic
446C22×C4×C47C2411yescharacteristic
447C22×C4×C47C2411yescharacteristic
448C22×C4×C47C2411yescharacteristic
449C22×C4×C47C2411yescharacteristic
450C22×C4×C47C2411yescharacteristic
451C22×C4×C47C2411yescharacteristic
452C2×C22⋊D47—22no—
453C2×C22⋊D47—22no—
454C2×C22⋊D47—22no—
455C2×C22⋊D47—22no—
456C2×C22⋊D47—22no—
457C2×C22⋊D47—22no—
458C2×C22⋊D47—22no—
459C2×C22⋊D47—22no—
460C2×C22⋊D47—22no—
461C2×C22⋊D47—22no—
462C2×C22⋊D47—41no—
463C2×C22⋊D47—41no—
464C2×C22⋊D47—41no—
465C2×C22⋊D47—41no—
466C2×C22⋊D47—41no—
467C2×C22⋊D47—41no—
468C2×C22⋊D47—41no—
469C2×C22⋊D47—41no—
470C22×Dic47—22no—
471C22×Dic47—41no—
472C22×Dic47—41no—
473C22×Dic47—41no—
474C22×Dic47—41no—
475C22×Dic47C2×D414yescomplemented
476C22×Dic47C2411yescharacteristic
477C22×Dic47C2411yescharacteristic
478C22×Dic47C2411yescharacteristic
479C22×Dic47C2411yescharacteristic
480C22×Dic47C2411yescharacteristic
481C22×Dic47C2411yescharacteristic
482C22×Dic47C2411yescharacteristic
483C22×Dic47C2411yescharacteristic
484C22×Dic47C2411yescharacteristic
485C22×Dic47C2411yescharacteristic
486C22×Dic47C2411yescharacteristic
487C22×Dic47C2411yescharacteristic
488D4×D47—232no—
489D4×D47—416no—
490D4×D47—416no—
491C2×D188—22no—
492C2×D188—22no—
493C2×D188—22no—
494C2×D188—22no—
495C2×D188—22no—
496C2×D188—41no—
497C2×D188—41no—
498C2×D188—41no—
499C2×D188—41no—
500C2×C4×D47—22no—
501C2×C4×D47—22no—
502C2×C4×D47—22no—
503C2×C4×D47—22no—
504C2×C4×D47—22no—
505C2×C4×D47—22no—
506C2×C4×D47—22no—
507C2×C4×D47—22no—
508C2×C4×D47—22no—
509C2×C4×D47—22no—
510C2×C4×D47—22no—
511C2×C4×D47—22no—
512C2×C4×D47—22no—
513C2×C4×D47—22no—
514C2×C4×D47—22no—
515C2×C4×D47—22no—
516C2×C4×D47—22no—
517C2×C4×D47—22no—
518C2×C4×D47—22no—
519C2×C4×D47—22no—
520C2×C4×D47—22no—
521C2×C4×D47—22no—
522C2×C4×D47—22no—
523C2×C4×D47—22no—
524C2×C4×D47—22no—
525C2×C4×D47—22no—
526C2×C4×D47—22no—
527C2×C4×D47—22no—
528C2×C4×D47—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—416no—
536C2×C4×D47—416no—
537C2×C4×D47—41no—
538C2×C4×D47—41no—
539C2×C4×D47—41no—
540C2×C4×D47—41no—
541C2×C4×D47—41no—
542C2×C4×D47—41no—
543C2×C4×D47—41no—
544C2×C4×D47—41no—
545C2×C4×D47C2×D414yes—
546C2×C4×D47C2×D414yes—
547C2×C4×D47C2×D414yescomplemented
548C2×C4×D47C2×D414yescomplemented
549C2×C4×D47#4114yes—
550C4⋊C4×C47—22no—
551C4⋊C4×C47—22no—
552C4⋊C4×C47—22no—
553C4⋊C4×C47—22no—
554C4⋊C4×C47—41no—
555C4⋊C4×C47—41no—
556C4⋊C4×C47—41no—
557C4⋊C4×C47—41no—
558C22⋊C4×C47—22no—
559C22⋊C4×C47—22no—
560C22⋊C4×C47—22no—
561C22⋊C4×C47—22no—
562C22⋊C4×C47—22no—
563C22⋊C4×C47—22no—
564C22⋊C4×C47—22no—
565C22⋊C4×C47—41no—
566C22⋊C4×C47—41no—
567C22⋊C4×C47—41no—
568C22⋊C4×C47—41no—
569C22⋊C4×C47—41no—
570C22⋊C4×C47—41no—
571C42×C47—22no—
572C22⋊Dic47—22no—
573C22⋊Dic47—22no—
574C22⋊Dic47—22no—
575C22⋊Dic47—22no—
576C22⋊Dic47—22no—
577C22⋊Dic47—22no—
578C22⋊Dic47—22no—
579C22⋊Dic47—41no—
580C22⋊Dic47—41no—
581C22⋊Dic47—41no—
582C22⋊Dic47—41no—
583C22⋊Dic47—41no—
584C22⋊Dic47—41no—
585(C2×D47)⋊C4—22no—
586(C2×D47)⋊C4—22no—
587(C2×D47)⋊C4—22no—
588(C2×D47)⋊C4—22no—
589(C2×D47)⋊C4—22no—
590(C2×D47)⋊C4—22no—
591(C2×D47)⋊C4—22no—
592(C2×D47)⋊C4—22no—
593(C2×D47)⋊C4—22no—
594(C2×D47)⋊C4—22no—
595(C2×D47)⋊C4—22no—
596(C2×D47)⋊C4—22no—
597(C2×D47)⋊C4—22no—
598(C2×D47)⋊C4—22no—
599(C2×D47)⋊C4—41no—
600(C2×D47)⋊C4—41no—
601(C2×D47)⋊C4—41no—
602(C2×D47)⋊C4—41no—
603(C2×D47)⋊C4—41no—
604(C2×D47)⋊C4—41no—
605(C2×D47)⋊C4—41no—
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—
611C4⋊Dic47—22no—
612C4⋊Dic47—22no—
613C4⋊Dic47—22no—
614C4⋊Dic47—22no—
615C4⋊Dic47—41no—
616C4⋊Dic47—41no—
617C4⋊Dic47—41no—
618C4⋊Dic47—41no—
619Dic47⋊C4—22no—
620Dic47⋊C4—22no—
621Dic47⋊C4—22no—
622Dic47⋊C4—22no—
623Dic47⋊C4—22no—
624Dic47⋊C4—22no—
625Dic47⋊C4—22no—
626Dic47⋊C4—22no—
627Dic47⋊C4—41no—
628Dic47⋊C4—41no—
629Dic47⋊C4—41no—
630Dic47⋊C4—41no—
631Dic47⋊C4—41no—
632Dic47⋊C4—41no—
633Dic47⋊C4—41no—
634Dic47⋊C4—41no—
635C4×Dic47—22no—
636C4×Dic47—22no—
637C4×Dic47—22no—
638C23×C47—21no—
639C23×C47—21no—
640C23×C47—21no—
641C23×C47—21no—
642C23×C47—21no—
643C23×C47—21no—
644C23×C47—21no—
645C23×C47—21no—
646C23×C47—21no—
647C23×C47—21no—
648C23×C47—21no—
649C23×C47—21no—
650C23×C47—21no—
651C23×C47—21no—
652C23×C47—21no—
653C23×C47—21no—
654C23×C47—21no—
655C23×C47—21no—
656C23×C47—21no—
657C23×C47C22×D412yes—
658C23×C47C2×#4112yes—
659C23×C47C2511yescharacteristic
660C22×D47—21no—
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—28no—
673C22×D47—28no—
674C22×D47—28no—
675C22×D47—28no—
676C22×D47—28no—
677C22×D47—28no—
678C22×D47—21no—
679C22×D47—21no—
680C22×D47—21no—
681C22×D47—21no—
682C22×D47—21no—
683C22×D47—21no—
684C22×D47—21no—
685C22×D47—44no—
686C22×D47—44no—
687C22×D47—44no—
688C22×D47—44no—
689C22×D47—44no—
690C22×D47—44no—
691C22×D47—44no—
692C22×D47—44no—
693C22×D47—44no—
694C22×D47—44no—
695C22×D47—44no—
696C22×D47—44no—
697C22×D47—44no—
698C22×D47—44no—
699C22×D47—44no—
700C22×D47C22×D412yes—
701C22×D47C22×D412yes—
702C22×D47C2×#4112yes—
703C22×D47C2×#4112yes—
704C22×D47C2×#4112yes—
705C22×D47H(5,𝔽2)12yes—
706C22×D47H(5,𝔽2)12yes—
707C22×D47H(5,𝔽2)12yes—
708C22×D472−1+412yes—
709D4×C47—28no—
710D4×C47—44no—
711D4×C47—44no—
712C2×C4×C47—21no—
713C2×C4×C47—21no—
714C2×C4×C47—21no—
715C2×C4×C47—21no—
716C2×C4×C47—21no—
717C2×C4×C47—21no—
718C2×C4×C47—21no—
719C2×C4×C47—21no—
720C2×C4×C47—21no—
721C2×C4×C47—21no—
722C2×C4×C47—21no—
723C2×C4×C47—21no—
724C2×C4×C47—21no—
725C2×C4×C47—21no—
726C2×C4×C47—21no—
727C2×C4×C47—21no—
728C2×C4×C47—21no—
729C2×C4×C47—21no—
730C2×C4×C47—21no—
731C2×C4×C47—21no—
732C2×C4×C47—21no—
733C2×C4×C47—21no—
734C2×C4×C47—21no—
735C2×C4×C47—21no—
736C2×C4×C47—21no—
737C2×C4×C47—21no—
738C2×C4×C47—21no—
739C2×C4×C47—21no—
740C2×C4×C47—21no—
741C2×C4×C47—21no—
742C2×C4×C47—21no—
743C2×C4×C47—21no—
744C2×C4×C47—21no—
745C2×C4×C47—44no—
746C2×C4×C47—44no—
747C2×C4×C47C22×D412yes—
748C2×C4×C47C22×D412yes—
749C2×C4×C47C2×#4112yes—
750C22⋊D47—28no—
751C22⋊D47—28no—
752C22⋊D47—44no—
753C22⋊D47—44no—
754C22⋊D47—44no—
755C22⋊D47—44no—
756C2×Dic47—21no—
757C2×Dic47—21no—
758C2×Dic47—21no—
759C2×Dic47—21no—
760C2×Dic47—21no—
761C2×Dic47—21no—
762C2×Dic47—21no—
763C2×Dic47—21no—
764C2×Dic47—21no—
765C2×Dic47—21no—
766C2×Dic47—21no—
767C2×Dic47—21no—
768C2×Dic47—21no—
769C2×Dic47—21no—
770C2×Dic47—21no—
771C2×Dic47—21no—
772C2×Dic47—21no—
773C2×Dic47—21no—
774C2×Dic47—21no—
775C2×Dic47—21no—
776C2×Dic47—21no—
777C2×Dic47—21no—
778C2×Dic47—21no—
779C2×Dic47—21no—
780C2×Dic47—21no—
781C2×Dic47—21no—
782C2×Dic47—21no—
783C2×Dic47—21no—
784C2×Dic47—21no—
785C2×Dic47—21no—
786C2×Dic47—21no—
787C2×Dic47—21no—
788C2×Dic47—21no—
789C2×Dic47—44no—
790C2×Dic47—44no—
791C2×Dic47C22×D412yes—
792C2×Dic47C22×D412yes—
793C2×Dic47C2×#4112yes—
794D188—28no—
795D188—44no—
796D188—44no—
797C4×D47—28no—
798C4×D47—28no—
799C4×D47—28no—
800C4×D47—44no—
801C4×D47—44no—
802C4×D47—44no—
803C4×D47—44no—
804C4×D47—44no—
805C4×D47—44no—
806C4×D47—44no—
807C4×D47—44no—
808C4×D47—44no—
809C4×D47—44no—
810C4×D47—44no—
811C4×D47—44no—
812C4×D47—44no—
813C2×#2630—471nomaximal, Sylow
814C22×C47—22no—
815C22×C47—22no—
816C22×C47—22no—
817C22×C47—22no—
818C22×C47—22no—
819C22×C47—22no—
820C22×C47—41no—
821C22×C47—41no—
822C22×C47—41no—
823C22×C47—41no—
824C22×C47—41no—
825C22×C47—41no—
826C22×C47—41no—
827C22×C47—41no—
828C22×C47—41no—
829C22×C47—41no—
830C22×C47—41no—
831C22×C47—41no—
832C22×C47—41no—
833C22×C47—41no—
834C22×C47—41no—
835C22×C47C23×D411yescharacteristic
836C22×C47C22×#4111yescharacteristic
837C22×C47C22×#4111yescharacteristic
838C22×C47C2×H(5,𝔽2)11yescharacteristic
839C22×C47C2×H(5,𝔽2)11yescharacteristic
840C22×C47C2×H(5,𝔽2)11yescharacteristic
841C22×C47C2×2−1+411yescharacteristic
842C2×D47—22no—
843C2×D47—22no—
844C2×D47—22no—
845C2×D47—22no—
846C2×D47—22no—
847C2×D47—22no—
848C2×D47—41no—
849C2×D47—41no—
850C2×D47—41no—
851C2×D47—41no—
852C2×D47—41no—
853C2×D47—41no—
854C2×D47—41no—
855C2×D47—41no—
856C2×D47—416no—
857C2×D47—416no—
858C2×D47—41no—
859C2×D47—41no—
860C2×D47—41no—
861C2×D47—41no—
862C2×D47—41no—
863C2×D47—41no—
864C2×D47—41no—
865C2×D47—88no—
866C2×D47#52514yes—
867C2×D47#53414yes—
868C2×D47#53714yes—
869C2×D47#53814yes—
870C2×D47#53914yes—
871C2×D47#54014yes—
872C2×D47#54214yes—
873C4×C47—22no—
874C4×C47—22no—
875C4×C47—22no—
876C4×C47—41no—
877C4×C47—41no—
878C4×C47—41no—
879C4×C47—41no—
880C4×C47—41no—
881C4×C47—41no—
882C4×C47—41no—
883C4×C47—41no—
884C4×C47—41no—
885Dic47—22no—
886Dic47—22no—
887Dic47—22no—
888Dic47—41no—
889Dic47—41no—
890Dic47—41no—
891Dic47—41no—
892Dic47—41no—
893Dic47—41no—
894Dic47—41no—
895Dic47—41no—
896Dic47—41no—
897C22×#123—471no—
898C22×C4×D4—471no—
899#2630—471no—
900#2630—471no—
901#2630—471no—
902#2630—471no—
903#2630—471no—
904#2630—471no—
905#2630—471no—
906#2630—471no—
907#2630—471no—
908#2630—471no—
909#2630—471no—
910#2630—471no—
911#2630—471no—
912#2630—471no—
913#2630—471no—
914#2630D4711yescharacteristic, direct product factor
915C2×#398—471no—
916C2×#397—471no—
917C2×#396—471no—
918C2×#396—471no—
919C2×#394—471no—
920C2×#394—471no—
921C2×#394—471no—
922C2×#392—471no—
923C2×#388—471no—
924C2×#387—471no—
925C2×#386—471no—
926C2×#385—471no—
927C2×#380—471no—
928C2×C47—42no—
929C2×C47—42no—
930C2×C47—81no—
931C2×C47C2×#52511yescharacteristic
932C2×C47C2×#53411yescharacteristic
933C2×C47C2×#53711yescharacteristic
934C2×C47C2×#53811yescharacteristic
935C2×C47C2×#53911yescharacteristic
936C2×C47C2×#54011yescharacteristic
937C2×C47C2×#54211yescharacteristic
938D47—42no—
939D47—42no—
940D47—81no—
941D47#263018yesdirect product factor
942C23×D4—471no—
943C23×D4—471no—
944C23×D4—471no—
945C24×C4—471no—
946C24×C4—471no—
947C2×#123—471no—
948C2×#123—471no—
949C2×#123—471no—
950C2×#123—471no—
951C2×#123—471no—
952C2×#123—471no—
953C2×#123—471no—
954C2×#123—948no—
955C2×#123C2×D4711yescharacteristic, complemented
956C2×C4×D4—471no—
957C2×C4×D4—471no—
958C2×C4×D4—471no—
959C2×C4×D4—471no—
960C2×C4×D4—471no—
961C2×C4×D4—471no—
962C2×C4×D4—471no—
963C2×C4×D4—948no—
964C2×C4×D4C2×D4711yescharacteristic, complemented
965C22×C4⋊C4—471no—
966C22×C4⋊C4—471no—
967C22×C4⋊C4—471no—
968C22×C4⋊C4—471no—
969C22×C4⋊C4—471no—
970C22×C4⋊C4—471no—
971C22×C4⋊C4—471no—
972C22×C4⋊C4—471no—
973C22×C22⋊C4—471no—
974C22×C22⋊C4—471no—
975C22×C22⋊C4—471no—
976C22×C22⋊C4—471no—
977C22×C22⋊C4—471no—
978C22×C22⋊C4—471no—
979C22×C22⋊C4—471no—
980C22×C22⋊C4—471no—
981C22×C22⋊C4—471no—
982C22×C22⋊C4—471no—
983C22×C22⋊C4—471no—
984C22×C22⋊C4—471no—
985C22×C22⋊C4—471no—
986C22×C42—471no—
987#398—471no—
988#398—471no—
989#398—471no—
990#398—471no—
991#398—471no—
992#398—471no—
993#398—471no—
994#398C2×D4711yescharacteristic, complemented
995#397—471no—
996#397—471no—
997#397—471no—
998#397—471no—
999#397—471no—
1000#397—471no—
1001#397—471no—
1002#397C2×D4711yescharacteristic, complemented
1003#396—471no—
1004#396—471no—
1005#396—471no—
1006#396—471no—
1007#396—471no—
1008#396—471no—
1009#396—471no—
1010#396—471no—
1011#396—471no—
1012#396—471no—
1013#396—471no—
1014#396—471no—
1015#396—471no—
1016#396—471no—
1017#396C2×D4711yescharacteristic, complemented
1018#396C2×D4711yescharacteristic, complemented
1019#394—471no—
1020#394—471no—
1021#394—471no—
1022#394—471no—
1023#394—471no—
1024#394—471no—
1025#394—471no—
1026#394—471no—
1027#394—471no—
1028#394—471no—
1029#394—471no—
1030#394—471no—
1031#394—471no—
1032#394—471no—
1033#394—471no—
1034#394—471no—
1035#394—471no—
1036#394—471no—
1037#394—471no—
1038#394—471no—
1039#394—471no—
1040#394C2×D4711yescharacteristic, complemented
1041#394C2×D4711yescharacteristic, complemented
1042#394C2×D4711yescharacteristic, complemented
1043#392—471no—
1044#392—471no—
1045#392—471no—
1046#392—471no—
1047#392—471no—
1048#392—471no—
1049#392—471no—
1050#392C2×D4711yescharacteristic
1051#388—471no—
1052#388—471no—
1053#388—471no—
1054#388—471no—
1055#388—471no—
1056#388—471no—
1057#388—471no—
1058#388C2×D4711yescharacteristic, complemented
1059#387—471no—
1060#387—471no—
1061#387—471no—
1062#387—471no—
1063#387—471no—
1064#387—471no—
1065#387—471no—
1066#387C2×D4711yescharacteristic, complemented
1067#386—471no—
1068#386—471no—
1069#386—471no—
1070#386—471no—
1071#386—471no—
1072#386—471no—
1073#386—471no—
1074#386C2×D4711yescharacteristic, complemented
1075#385—471no—
1076#385—471no—
1077#385—471no—
1078#385—471no—
1079#385—471no—
1080#385—471no—
1081#385—471no—
1082#385C2×D4711yescharacteristic, complemented
1083#380—471no—
1084#380—471no—
1085#380—471no—
1086#380—471no—
1087#380—471no—
1088#380—471no—
1089#380—471no—
1090#380C2×D4711yescharacteristic, complemented
1091C2×#95—471no—
1092C2×#95—471no—
1093C2×#95—471no—
1094C2×#95—471no—
1095C2×#95—471no—
1096C2×#95—471no—
1097C2×#95—471no—
1098C2×#95—471no—
1099C47C2×#263011yescharacteristic, complemented, Sylow
1100C25—471no—
1101C25—471no—
1102C25—471no—
1103C22×D4—471no—
1104C22×D4—471no—
1105C22×D4—471no—
1106C22×D4—471no—
1107C22×D4—471no—
1108C22×D4—471no—
1109C22×D4—471no—
1110C22×D4—471no—
1111C22×D4—471no—
1112C22×D4—944no—
1113C22×D4—944no—
1114C22×D4—944no—
1115C22×D4—944no—
1116C22×D4—944no—
1117C22×D4—1882no—
1118C22×D4—1882no—
1119C22×D4—1882no—
1120C22×D4—1882no—
1121C22×D4C22×D4711yescharacteristic
1122C22×D4C22×D4711yescharacteristic
1123C22×D4C22×D4711yescharacteristic
1124C23×C4—471no—
1125C23×C4—471no—
1126C23×C4—471no—
1127C23×C4—471no—
1128C23×C4—478no—
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—944no—
1144C23×C4—1882no—
1145C23×C4—1882no—
1146C23×C4—1882no—
1147C23×C4—1882no—
1148C23×C4C22×D4711yescharacteristic
1149C23×C4C22×D4711yescharacteristic
1150#123—24no—
1151#123—944no—
1152#123—944no—
1153#123—944no—
1154#123—944no—
1155#123—944no—
1156#123—944no—
1157#123—944no—
1158C4×D4—24no—
1159C4×D4—944no—
1160C4×D4—944no—
1161C4×D4—944no—
1162C4×D4—944no—
1163C4×D4—944no—
1164C4×D4—944no—
1165C4×D4—944no—
1166C2×C4⋊C4—471no—
1167C2×C4⋊C4—471no—
1168C2×C4⋊C4—471no—
1169C2×C4⋊C4—471no—
1170C2×C4⋊C4—471no—
1171C2×C4⋊C4—471no—
1172C2×C4⋊C4—471no—
1173C2×C4⋊C4—471no—
1174C2×C4⋊C4—471no—
1175C2×C4⋊C4—471no—
1176C2×C4⋊C4—471no—
1177C2×C4⋊C4—471no—
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—944no—
1191C2×C4⋊C4—944no—
1192C2×C4⋊C4—944no—
1193C2×C4⋊C4—944no—
1194C2×C4⋊C4—1882no—
1195C2×C4⋊C4—1882no—
1196C2×C4⋊C4—1882no—
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×C4⋊C4C22×D4711yescharacteristic
1204C2×C4⋊C4C22×D4711yescharacteristic
1205C2×C4⋊C4C22×D4711yescharacteristic
1206C2×C22⋊C4—471no—
1207C2×C22⋊C4—471no—
1208C2×C22⋊C4—471no—
1209C2×C22⋊C4—471no—
1210C2×C22⋊C4—471no—
1211C2×C22⋊C4—471no—
1212C2×C22⋊C4—471no—
1213C2×C22⋊C4—471no—
1214C2×C22⋊C4—471no—
1215C2×C22⋊C4—471no—
1216C2×C22⋊C4—471no—
1217C2×C22⋊C4—471no—
1218C2×C22⋊C4—471no—
1219C2×C22⋊C4—471no—
1220C2×C22⋊C4—471no—
1221C2×C22⋊C4—471no—
1222C2×C22⋊C4—471no—
1223C2×C22⋊C4—471no—
1224C2×C22⋊C4—471no—
1225C2×C22⋊C4—471no—
1226C2×C22⋊C4—471no—
1227C2×C22⋊C4—471no—
1228C2×C22⋊C4—471no—
1229C2×C22⋊C4—471no—
1230C2×C22⋊C4—471no—
1231C2×C22⋊C4—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—471no—
1241C2×C22⋊C4—471no—
1242C2×C22⋊C4—471no—
1243C2×C22⋊C4—471no—
1244C2×C22⋊C4—471no—
1245C2×C22⋊C4—944no—
1246C2×C22⋊C4—944no—
1247C2×C22⋊C4—944no—
1248C2×C22⋊C4—944no—
1249C2×C22⋊C4—944no—
1250C2×C22⋊C4—944no—
1251C2×C22⋊C4—944no—
1252C2×C22⋊C4—1882no—
1253C2×C22⋊C4—1882no—
1254C2×C22⋊C4—1882no—
1255C2×C22⋊C4—1882no—
1256C2×C22⋊C4—1882no—
1257C2×C22⋊C4—1882no—
1258C2×C22⋊C4C22×D4711yescharacteristic
1259C2×C22⋊C4C22×D4711yescharacteristic
1260C2×C22⋊C4C22×D4711yescharacteristic
1261C2×C22⋊C4C22×D4711yescharacteristic
1262C2×C22⋊C4C22×D4711yescharacteristic
1263C2×C22⋊C4C22×D4711yescharacteristic
1264C2×C22⋊C4C22×D4711yescharacteristic
1265C2×C22⋊C4C22×D4711yescharacteristic
1266C2×C22⋊C4C22×D4711yescharacteristic
1267C2×C22⋊C4C22×D4711yescharacteristic
1268C2×C22⋊C4C22×D4711yescharacteristic
1269C2×C22⋊C4C22×D4711yescharacteristic
1270C2×C22⋊C4C22×D4711yescharacteristic
1271C2×C42—471no—
1272C2×C42—471no—
1273C2×C42—471no—
1274C2×C42—944no—
1275C2×C42C22×D4711yescharacteristic
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#95C22×D4711yescharacteristic
1301#95C22×D4711yescharacteristic
1302#95C22×D4711yescharacteristic
1303#95C22×D4711yescharacteristic
1304#95C22×D4711yescharacteristic
1305#95C22×D4711yescharacteristic
1306#95C22×D4711yescharacteristic
1307#95C22×D4711yescharacteristic
1308C24—471no—
1309C24—474no—
1310C24—474no—
1311C24—471no—
1312C24—471no—
1313C24—471no—
1314C24—942no—
1315C24—942no—
1316C24—942no—
1317C24—942no—
1318C24—942no—
1319C24—942no—
1320C24—942no—
1321C24—942no—
1322C24—942no—
1323C24—942no—
1324C24—942no—
1325C24—942no—
1326C24—942no—
1327C24—942no—
1328C24—942no—
1329C24—942no—
1330C24—942no—
1331C24—942no—
1332C24—942no—
1333C24C23×D4711yescharacteristic
1334C24C23×D4711yescharacteristic
1335C24C23×D4711yescharacteristic
1336C2×D4—22no—
1337C2×D4—22no—
1338C2×D4—22no—
1339C2×D4—22no—
1340C2×D4—22no—
1341C2×D4—41no—
1342C2×D4—41no—
1343C2×D4—41no—
1344C2×D4—41no—
1345C2×D4—942no—
1346C2×D4—942no—
1347C2×D4—942no—
1348C2×D4—942no—
1349C2×D4—942no—
1350C2×D4—942no—
1351C2×D4—9432no—
1352C2×D4—942no—
1353C2×D4—942no—
1354C2×D4—942no—
1355C2×D4—942no—
1356C2×D4—942no—
1357C2×D4—942no—
1358C2×D4—942no—
1359C2×D4—942no—
1360C2×D4—942no—
1361C2×D4—1881no—
1362C2×D4—1881no—
1363C2×D4—1881no—
1364C2×D4—1881no—
1365C2×D4—1881no—
1366C2×D4—1881no—
1367C2×D4—1881no—
1368C2×D4—1881no—
1369C2×D4—1881no—
1370C2×D4—1881no—
1371C2×D4—1881no—
1372C2×D4—1881no—
1373C2×D4—18816no—
1374C2×D4—18816no—
1375C22×C4—22no—
1376C22×C4—41no—
1377C22×C4—41no—
1378C22×C4—41no—
1379C22×C4—41no—
1380C22×C4—471no—
1381C22×C4—471no—
1382C22×C4—471no—
1383C22×C4—474no—
1384C22×C4—474no—
1385C22×C4—474no—
1386C22×C4—474no—
1387C22×C4—474no—
1388C22×C4—474no—
1389C22×C4—471no—
1390C22×C4—471no—
1391C22×C4—471no—
1392C22×C4—471no—
1393C22×C4—471no—
1394C22×C4—471no—
1395C22×C4—471no—
1396C22×C4—471no—
1397C22×C4—471no—
1398C22×C4—942no—
1399C22×C4—942no—
1400C22×C4—942no—
1401C22×C4—942no—
1402C22×C4—942no—
1403C22×C4—942no—
1404C22×C4—942no—
1405C22×C4—942no—
1406C22×C4—942no—
1407C22×C4—942no—
1408C22×C4—942no—
1409C22×C4—942no—
1410C22×C4—942no—
1411C22×C4—942no—
1412C22×C4—942no—
1413C22×C4—942no—
1414C22×C4—942no—
1415C22×C4—942no—
1416C22×C4—942no—
1417C22×C4—942no—
1418C22×C4—942no—
1419C22×C4—942no—
1420C22×C4—942no—
1421C22×C4—942no—
1422C22×C4—942no—
1423C22×C4—942no—
1424C22×C4—942no—
1425C22×C4—942no—
1426C22×C4—942no—
1427C22×C4—942no—
1428C22×C4—942no—
1429C22×C4—942no—
1430C22×C4—942no—
1431C22×C4—942no—
1432C22×C4—942no—
1433C22×C4—942no—
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—18816no—
1443C22×C4—18816no—
1444C22×C4—1881no—
1445C22×C4—1881no—
1446C22×C4—1881no—
1447C22×C4—1881no—
1448C22×C4D4×D4714yescomplemented
1449C22×C4C23×D4711yescharacteristic
1450C22×C4C23×D4711yescharacteristic
1451C22×C4C23×D4711yescharacteristic
1452C22×C4C23×D4711yescharacteristic
1453C22×C4C23×D4711yescharacteristic
1454C22×C4C23×D4711yescharacteristic
1455C22×C4C23×D4711yescharacteristic
1456C22×C4C23×D4711yescharacteristic
1457C22×C4C23×D4711yescharacteristic
1458C22×C4C23×D4711yescharacteristic
1459C22×C4C23×D4711yescharacteristic
1460C22×C4C23×D4711yescharacteristic
1461C4⋊C4—22no—
1462C4⋊C4—22no—
1463C4⋊C4—22no—
1464C4⋊C4—22no—
1465C4⋊C4—41no—
1466C4⋊C4—41no—
1467C4⋊C4—41no—
1468C4⋊C4—41no—
1469C4⋊C4—942no—
1470C4⋊C4—942no—
1471C4⋊C4—942no—
1472C4⋊C4—942no—
1473C4⋊C4—942no—
1474C4⋊C4—942no—
1475C4⋊C4—942no—
1476C4⋊C4—942no—
1477C4⋊C4—942no—
1478C4⋊C4—942no—
1479C4⋊C4—942no—
1480C4⋊C4—942no—
1481C4⋊C4—1881no—
1482C4⋊C4—1881no—
1483C4⋊C4—1881no—
1484C4⋊C4—1881no—
1485C4⋊C4—1881no—
1486C4⋊C4—1881no—
1487C4⋊C4—1881no—
1488C4⋊C4—1881no—
1489C4⋊C4—1881no—
1490C4⋊C4—1881no—
1491C4⋊C4—1881no—
1492C4⋊C4—1881no—
1493C22⋊C4—22no—
1494C22⋊C4—22no—
1495C22⋊C4—22no—
1496C22⋊C4—22no—
1497C22⋊C4—22no—
1498C22⋊C4—22no—
1499C22⋊C4—22no—
1500C22⋊C4—41no—
1501C22⋊C4—41no—
1502C22⋊C4—41no—
1503C22⋊C4—41no—
1504C22⋊C4—41no—
1505C22⋊C4—41no—
1506C22⋊C4—942no—
1507C22⋊C4—942no—
1508C22⋊C4—942no—
1509C22⋊C4—942no—
1510C22⋊C4—942no—
1511C22⋊C4—942no—
1512C22⋊C4—942no—
1513C22⋊C4—942no—
1514C22⋊C4—942no—
1515C22⋊C4—942no—
1516C22⋊C4—942no—
1517C22⋊C4—942no—
1518C22⋊C4—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—1881no—
1528C22⋊C4—1881no—
1529C22⋊C4—1881no—
1530C22⋊C4—1881no—
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—
1545C42—22no—
1546C42—942no—
1547C42—942no—
1548C42—942no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—472no—
1569C23—472no—
1570C23—472no—
1571C23—472no—
1572C23—472no—
1573C23—472no—
1574C23—472no—
1575C23—472no—
1576C23—472no—
1577C23—948no—
1578C23—948no—
1579C23—948no—
1580C23—948no—
1581C23—948no—
1582C23—948no—
1583C23—941no—
1584C23—941no—
1585C23—941no—
1586C23—941no—
1587C23—941no—
1588C23—941no—
1589C23—941no—
1590C23—941no—
1591C23—941no—
1592C23—941no—
1593C23—941no—
1594C23—941no—
1595C23—941no—
1596C23—941no—
1597C23—941no—
1598C23—941no—
1599C23—941no—
1600C23—941no—
1601C23—941no—
1602C23—1884no—
1603C23—1884no—
1604C23—1884no—
1605C23—1884no—
1606C23—1884no—
1607C23—1884no—
1608C23—1884no—
1609C23—1884no—
1610C23—1884no—
1611C23—1884no—
1612C23—1884no—
1613C23—1884no—
1614C23—1884no—
1615C23—1884no—
1616C23—1884no—
1617C23C2×D4×D4712yes—
1618C23#41×D4712yes—
1619C23C24×D4711yescharacteristic
1620D4—28no—
1621D4—44no—
1622D4—44no—
1623D4—948no—
1624D4—948no—
1625D4—948no—
1626D4—1884no—
1627D4—1884no—
1628D4—1884no—
1629D4—1884no—
1630D4—1884no—
1631D4—1884no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—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—44no—
1666C2×C4—44no—
1667C2×C4—472no—
1668C2×C4—472no—
1669C2×C4—472no—
1670C2×C4—948no—
1671C2×C4—948no—
1672C2×C4—948no—
1673C2×C4—941no—
1674C2×C4—941no—
1675C2×C4—941no—
1676C2×C4—941no—
1677C2×C4—941no—
1678C2×C4—941no—
1679C2×C4—941no—
1680C2×C4—941no—
1681C2×C4—941no—
1682C2×C4—941no—
1683C2×C4—941no—
1684C2×C4—941no—
1685C2×C4—941no—
1686C2×C4—941no—
1687C2×C4—941no—
1688C2×C4—941no—
1689C2×C4—941no—
1690C2×C4—941no—
1691C2×C4—941no—
1692C2×C4—941no—
1693C2×C4—941no—
1694C2×C4—941no—
1695C2×C4—941no—
1696C2×C4—941no—
1697C2×C4—941no—
1698C2×C4—941no—
1699C2×C4—941no—
1700C2×C4—941no—
1701C2×C4—941no—
1702C2×C4—941no—
1703C2×C4—941no—
1704C2×C4—941no—
1705C2×C4—941no—
1706C2×C4—1884no—
1707C2×C4—1884no—
1708C2×C4—1884no—
1709C2×C4—1884no—
1710C2×C4—1884no—
1711C2×C4—1884no—
1712C2×C4—1884no—
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×C4C2×D4×D4712yes—
1722C2×C4C2×D4×D4712yes—
1723C2×C4#41×D4712yes—
1724C22—22no—
1725C22—22no—
1726C22—22no—
1727C22—22no—
1728C22—22no—
1729C22—22no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—474no—
1746C22—474no—
1747C22—474no—
1748C22—474no—
1749C22—474no—
1750C22—474no—
1751C22—474no—
1752C22—942no—
1753C22—942no—
1754C22—942no—
1755C22—942no—
1756C22—942no—
1757C22—942no—
1758C22—3768no—
1759C22—18816no—
1760C22—18816no—
1761C22—1881no—
1762C22—1881no—
1763C22—1881no—
1764C22—1881no—
1765C22—1881no—
1766C22—1881no—
1767C22—1881no—
1768C22—1881no—
1769C22—1881no—
1770C22—1881no—
1771C22—1881no—
1772C22—1881no—
1773C22—1881no—
1774C22—1881no—
1775C22—1881no—
1776C22C22×D4×D4711yescharacteristic
1777C22C2×#41×D4711yescharacteristic
1778C22C2×#41×D4711yescharacteristic
1779C22H(5,𝔽2)×D4711yescharacteristic
1780C22H(5,𝔽2)×D4711yescharacteristic
1781C22H(5,𝔽2)×D4711yescharacteristic
1782C222−1+4×D4711yescharacteristic
1783C4—22no—
1784C4—22no—
1785C4—22no—
1786C4—41no—
1787C4—41no—
1788C4—41no—
1789C4—41no—
1790C4—41no—
1791C4—41no—
1792C4—41no—
1793C4—41no—
1794C4—41no—
1795C4—942no—
1796C4—942no—
1797C4—942no—
1798C4—1881no—
1799C4—1881no—
1800C4—1881no—
1801C4—1881no—
1802C4—1881no—
1803C4—1881no—
1804C4—1881no—
1805C4—1881no—
1806C4—1881no—
1807C2—42no—
1808C2—42no—
1809C2—81no—
1810C2—478no—
1811C2—3761no—
1812C2—1882no—
1813C2—1882no—
1814C2#525×D4711yescharacteristic
1815C2#534×D4711yescharacteristic
1816C2#537×D4711yescharacteristic
1817C2#538×D4711yescharacteristic
1818C2#539×D4711yescharacteristic
1819C2#540×D4711yescharacteristic
1820C2#542×D4711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2630C2
prime radical#392×D47C2
hypercenter#2630D47
hypocenterC47C2×#2630
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2630

Complements

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

NH ≅ G/Ntype
1. C2×#123×D47C2semidirect
2. C2×C4×D4×D47C2semidirect
3. #20249238C2semidirect
4. #20249237C2semidirect
5. #20249236C2semidirect
6. #20249235C2semidirect
7. #20249234C2semidirect
8. #20249233C2semidirect
9. #20249232C2semidirect
10. #20249231C2semidirect
11. #20249230C2semidirect
12. #20249229C2semidirect
13. #20249228C2semidirect
14. #20249227C2semidirect
15. #20249226C2semidirect
16. #20249225C2semidirect
17. #20249224C2semidirect
18. #398×D47C2semidirect
19. #397×D47C2semidirect
20. #396×D47C2semidirect
21. #396×D47C2semidirect
22. #394×D47C2semidirect
23. #394×D47C2semidirect
24. #394×D47C2semidirect
26. #388×D47C2semidirect
27. #387×D47C2semidirect
28. #386×D47C2semidirect
29. #385×D47C2semidirect
30. #380×D47C2semidirect
31. C47×#2630C2semidirect
37. C2×#13094009C22semidirect
38. C2×#13094009C22semidirect
39. C2×#13094008C22semidirect
40. C2×#13094007C22semidirect
41. C2×#13094006C22semidirect
42. C2×#13094006C22semidirect
43. C2×#13094005C22semidirect
45. C2×C4×D188C22semidirect
46. C2×D4×Dic47C22semidirect
47. C2×#13093986C22semidirect
48. C2×C4×C22⋊D47C22semidirect
49. C2×C4×C22⋊D47C22semidirect
50. C2×(C22⋊D47)⋊C4C22semidirect
51. C2×(C22⋊D47)⋊C4C22semidirect
75. #15689057C22semidirect
76. #15689057C22semidirect
77. #15689056C22semidirect
78. #15689056C22semidirect
79. #15689055C22semidirect
80. #15689054C22semidirect
81. #15689053C22semidirect
82. #15689052C22semidirect
83. #15689052C22semidirect
84. #15689051C22semidirect
85. #15689051C22semidirect
86. #15689050C22semidirect
87. #15689049C22semidirect
88. #15689048C22semidirect
89. #15689047C22semidirect
90. #15689047C22semidirect
91. #15689046C22semidirect
92. #15689046C22semidirect
93. #15689046C22semidirect
94. #15689046C22semidirect
95. #15689046C22semidirect
96. #15689046C22semidirect
97. #15689045C22semidirect
98. #15689045C22semidirect
99. #15689045C22semidirect
100. #15689045C22semidirect
101. #15689045C22semidirect
102. #15689045C22semidirect
103. #15689041C22semidirect
104. #15689041C22semidirect
105. #15689041C22semidirect
106. #15689040C22semidirect
107. #15689040C22semidirect
108. #15689040C22semidirect
109. #15689039C22semidirect
110. #15689039C22semidirect
111. #15689039C22semidirect
112. #15689039C22semidirect
113. #15689039C22semidirect
114. #15689039C22semidirect
115. #15689038C22semidirect
116. #15689038C22semidirect
117. #15689038C22semidirect
118. #15689038C22semidirect
119. #15689038C22semidirect
120. #15689038C22semidirect
121. #15689037C22semidirect
122. #15689037C22semidirect
123. #15689037C22semidirect
131. #15689017C22semidirect
132. #15689016C22semidirect
133. #15689015C22semidirect
134. #15689014C22semidirect
135. #15689013C22semidirect
136. #15689012C22semidirect
137. #15689011C22semidirect
138. #15689010C22semidirect
139. #15689009C22semidirect
140. #15689008C22semidirect
141. #15689007C22semidirect
142. #15689006C22semidirect
143. #15689005C22semidirect
144. #15689004C22semidirect
145. #15689003C22semidirect
146. #15689002C22semidirect
147. #15689001C22semidirect
148. #15689001C22semidirect
149. #15689000C22semidirect
150. #15688999C22semidirect
151. #15688999C22semidirect
152. #15688998C22semidirect
153. #15688997C22semidirect
154. #15688997C22semidirect
155. #15688996C22semidirect
156. #15688995C22semidirect
157. #15688994C22semidirect
158. #15688994C22semidirect
159. #15688983C22semidirect
160. #15688982C22semidirect
161. #15688982C22semidirect
162. #15688981C22semidirect
163. #15688981C22semidirect
164. #15688980C22semidirect
165. #15688980C22semidirect
174. C2×#123×C47C22semidirect
175. C2×C4×D4×C47C22semidirect
176. C47×#398C22semidirect
177. C47×#397C22semidirect
178. C47×#396C22semidirect
179. C47×#396C22semidirect
180. C47×#394C22semidirect
181. C47×#394C22semidirect
182. C47×#394C22semidirect
184. C47×#388C22semidirect
185. C47×#387C22semidirect
186. C47×#386C22semidirect
187. C47×#385C22semidirect
188. C47×#380C22semidirect
217. C22×C4×D47D4semidirect
439. C22×C4×C47C2×D4semidirect
475. C22×Dic47C2×D4semidirect
547. C2×C4×D47C2×D4semidirect
548. C2×C4×D47C2×D4semidirect
914. #2630D47direct (N × H)
941. D47#2630direct (N × H)
955. C2×#123C2×D47semidirect
964. C2×C4×D4C2×D47semidirect
994. #398C2×D47semidirect
1002. #397C2×D47semidirect
1017. #396C2×D47semidirect
1018. #396C2×D47semidirect
1040. #394C2×D47semidirect
1041. #394C2×D47semidirect
1042. #394C2×D47semidirect
1058. #388C2×D47semidirect
1066. #387C2×D47semidirect
1074. #386C2×D47semidirect
1082. #385C2×D47semidirect
1090. #380C2×D47semidirect
1099. C47C2×#2630semidirect
1448. 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
#202492382
#202492372
#202492362
#202492352
#202492342
#202492332
#202492322
#202492312
#202492302
#202492292
#202492282
#202492272
#202492262
#202492252
#202492242
#398×D472
#397×D472
#396×D472
#394×D472
#392×D472
#388×D472
#387×D472
#386×D472
#385×D472
#380×D472
C47×#26302
C2×#263047