Finite Group Databasebeta

← D47×#2518 #26385278

Subgroups — D47×#2518 #26385278

Order 12032.

2442 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20248053C211yesmaximal, characteristic, complemented
2#20248052C211yesmaximal, characteristic, complemented
3#20248051C211yesmaximal, characteristic, complemented
4#20248050C211yesmaximal, characteristic, complemented
5#20248049C211yesmaximal, characteristic, complemented
6#20248048C211yesmaximal, characteristic, complemented
7#20248047C211yesmaximal, characteristic, complemented
8#20248046C211yesmaximal, characteristic, complemented
9#20248045C211yesmaximal, characteristic, complemented
10#20248044C211yesmaximal, characteristic, complemented
11#20248043C211yesmaximal, characteristic, complemented
12#20248042C211yesmaximal, characteristic, complemented
13#20248041C211yesmaximal, characteristic, complemented
14#20248040C211yesmaximal, characteristic, complemented
15#20248039C211yesmaximal, characteristic, complemented
16#397×D47C211yesmaximal, characteristic, complemented
17#396×D47C211yesmaximal, characteristic, complemented
18#394×D47C211yesmaximal, characteristic
19#394×D47C211yesmaximal, characteristic
20#389×D47C211yesmaximal, characteristic, complemented
21#388×D47C211yesmaximal, characteristic, complemented
22#388×D47C211yesmaximal, characteristic, complemented
23#388×D47C211yesmaximal, characteristic, complemented
24#388×D47C211yesmaximal, characteristic, complemented
25#387×D47C211yesmaximal, characteristic, complemented
26#386×D47C211yesmaximal, characteristic
27#383×D47C211yesmaximal, characteristic, complemented
28#382×D47C211yesmaximal, characteristic, complemented
29C4×C22⋊C4×D47C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D47C211yesmaximal, characteristic, complemented
31C47×#2518C211yesmaximal, characteristic, complemented
32C22×D4×D47C2211yescharacteristic
33C23×C4×D47C2211yescharacteristic
34C2×C4⋊C4×D47C2211yescharacteristic
35C2×C4⋊C4×D47C2211yescharacteristic
36C2×C4⋊C4×D47C2211yescharacteristic
37C2×C4⋊C4×D47C2211yescharacteristic
38C2×C4⋊C4×D47C2211yescharacteristic
39C2×C4⋊C4×D47C2211yescharacteristic
40C2×C22⋊C4×D47C2211yescharacteristic
41C2×C22⋊C4×D47C2211yescharacteristic
42C2×C22⋊C4×D47C2211yescharacteristic
43C2×C22⋊C4×D47C2211yescharacteristic
44C2×C22⋊C4×D47C2211yescharacteristic
45C2×C22⋊C4×D47C2211yescharacteristic
46C2×C22⋊C4×D47C2211yescharacteristic
47C2×C22⋊C4×D47C2211yescharacteristic
48C2×C22⋊C4×D47C2211yescharacteristic
49C2×C22⋊C4×D47C2211yescharacteristic
50C2×C22⋊C4×D47C2211yescharacteristic
51C2×C42×D47C2211yescharacteristic
52C2×C42×D47C2211yescharacteristic
53C2×C42×D47C2211yescharacteristic
54C2×C42×D47C2211yescharacteristic
55#15689052C2211yescharacteristic, complemented
56#15689052C2211yescharacteristic, complemented
57#15689051C2211yescharacteristic, complemented
58#15689051C2211yescharacteristic, complemented
59#15689050C2211yescharacteristic, complemented
60#15689049C2211yescharacteristic, complemented
61#15689048C2211yescharacteristic, complemented
62#15689047C2211yescharacteristic, complemented
63#15689046C2211yescharacteristic, complemented
64#15689046C2211yescharacteristic, complemented
65#15689046C2211yescharacteristic, complemented
66#15689045C2211yescharacteristic, complemented
67#15689045C2211yescharacteristic, complemented
68#15689045C2211yescharacteristic, complemented
69#15689041C2211yescharacteristic
70#15689041C2211yescharacteristic
71#15689040C2211yescharacteristic
72#15689040C2211yescharacteristic
73#15689039C2211yescharacteristic
74#15689039C2211yescharacteristic
75#15689039C2211yescharacteristic
76#15689039C2211yescharacteristic
77#15689038C2211yescharacteristic
78#15689038C2211yescharacteristic
79#15689038C2211yescharacteristic
80#15689038C2211yescharacteristic
81#15689037C2211yescharacteristic
82#15689037C2211yescharacteristic
83#15689022C2211yescharacteristic, complemented
84#15689021C2211yescharacteristic, complemented
85#15689020C2211yescharacteristic, complemented
86#15689020C2211yescharacteristic, complemented
87#15689019C2211yescharacteristic, complemented
88#15689018C2211yescharacteristic, complemented
89#15689018C2211yescharacteristic, complemented
90#15689017C2211yescharacteristic, complemented
91#15689017C2211yescharacteristic, complemented
92#15689017C2211yescharacteristic, complemented
93#15689017C2211yescharacteristic, complemented
94#15689016C2211yescharacteristic, complemented
95#15689016C2211yescharacteristic, complemented
96#15689016C2211yescharacteristic, complemented
97#15689016C2211yescharacteristic, complemented
98#15689015C2211yescharacteristic, complemented
99#15689015C2211yescharacteristic, complemented
100#15689015C2211yescharacteristic, complemented
101#15689015C2211yescharacteristic, complemented
102#15689014C2211yescharacteristic, complemented
103#15689014C2211yescharacteristic, complemented
104#15689014C2211yescharacteristic, complemented
105#15689014C2211yescharacteristic, complemented
106#15689013C2211yescharacteristic, complemented
107#15689013C2211yescharacteristic, complemented
108#15689013C2211yescharacteristic, complemented
109#15689013C2211yescharacteristic, complemented
110#15689012C2211yescharacteristic, complemented
111#15689012C2211yescharacteristic, complemented
112#15689012C2211yescharacteristic, complemented
113#15689012C2211yescharacteristic, complemented
114#15689011C2211yescharacteristic, complemented
115#15689011C2211yescharacteristic, complemented
116#15689011C2211yescharacteristic, complemented
117#15689011C2211yescharacteristic, complemented
118#15689010C2211yescharacteristic, complemented
119#15689009C2211yescharacteristic, complemented
120#15689008C2211yescharacteristic, complemented
121#15689007C2211yescharacteristic, complemented
122#15689006C2211yescharacteristic, complemented
123#15689005C2211yescharacteristic, complemented
124#15689004C2211yescharacteristic, complemented
125#15689003C2211yescharacteristic
126#15689002C2211yescharacteristic
127#15689001C2211yescharacteristic
128#15689001C2211yescharacteristic
129#15689000C2211yescharacteristic
130#15688999C2211yescharacteristic
131#15688999C2211yescharacteristic
132#15688991C2211yescharacteristic, complemented
133#15688990C2211yescharacteristic, complemented
134#15688990C2211yescharacteristic, complemented
135#15688990C2211yescharacteristic, complemented
136#15688990C2211yescharacteristic, complemented
137#15688990C2211yescharacteristic, complemented
138#15688990C2211yescharacteristic, complemented
139#15688989C2211yescharacteristic, complemented
140#15688988C2211yescharacteristic, complemented
141#15688988C2211yescharacteristic, complemented
142#15688987C2211yescharacteristic, complemented
143#15688987C2211yescharacteristic, complemented
144#15688987C2211yescharacteristic, complemented
145#15688987C2211yescharacteristic, complemented
146C22⋊C4×Dic47C2211yescharacteristic, complemented
147C22⋊C4×Dic47C2211yescharacteristic, complemented
148C22⋊C4×Dic47C2211yescharacteristic, complemented
149C22⋊C4×Dic47C2211yescharacteristic, complemented
150C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
151C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
152C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
153C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
154C4×C22⋊Dic47C2211yescharacteristic, complemented
155C4×C22⋊Dic47C2211yescharacteristic, complemented
156#15688970C2211yescharacteristic, complemented
157#15688970C2211yescharacteristic, complemented
158#15688970C2211yescharacteristic, complemented
159#15688970C2211yescharacteristic, complemented
160#95×D47C2211yescharacteristic
161#95×D47C2211yescharacteristic
162#95×D47C2211yescharacteristic
163#95×D47C2211yescharacteristic
164#95×D47C2211yescharacteristic
165#95×D47C2211yescharacteristic
166#95×D47C2211yescharacteristic
167#95×D47C2211yescharacteristic
168#95×D47C2211yescharacteristic
169#95×D47C2211yescharacteristic
170#95×D47C2211yescharacteristic
171#95×D47C2211yescharacteristic
172C47×#397C2211yescharacteristic, complemented
173C47×#396C2211yescharacteristic, complemented
174C47×#394C2211yescharacteristic
175C47×#394C2211yescharacteristic
176C47×#389C2211yescharacteristic, complemented
177C47×#388C2211yescharacteristic, complemented
178C47×#388C2211yescharacteristic, complemented
179C47×#388C2211yescharacteristic, complemented
180C47×#388C2211yescharacteristic, complemented
181C47×#387C2211yescharacteristic, complemented
182C47×#386C2211yescharacteristic
183C47×#383C2211yescharacteristic, complemented
184C47×#382C2211yescharacteristic, complemented
185C4×C22⋊C4×C47C2211yescharacteristic, complemented
186C4×C22⋊C4×C47C2211yescharacteristic, complemented
187C24×D47C2311yescharacteristic
188C24×D47C2311yescharacteristic
189C22×D188C2311yescharacteristic
190C22×C22⋊D47C2311yescharacteristic
191C22×C22⋊D47C2311yescharacteristic
192C2×D4×D47—24no—
193C2×D4×D47—42no—
194C2×D4×D47—42no—
195C23×Dic47C2311yescharacteristic
196C22×C4×D47—24no—
197C22×C4×D47—24no—
198C22×C4×D47—42no—
199C22×C4×D47C2311yescharacteristic
200C22×C4×D47C2311yescharacteristic
201C22×C4×D47C2311yescharacteristic
202C22×C4×D47C2311yescharacteristic
203C22×C4×D47C2311yescharacteristic
204C22×C4×D47C2311yescharacteristic
205C22×C4×D47C2311yescharacteristic
206C22×C4×D47C2311yescharacteristic
207C22×C4×D47C2311yescharacteristic
208C22×C4×D47C2311yescharacteristic
209C22×C4×D47C2311yescharacteristic
210C22×C4×D47C2311yescharacteristic
211C22×C4×D47C2311yescharacteristic
212C22×C4×D47C2311yescharacteristic
213C22×C4×D47C2311yescharacteristic
214C2×C4⋊Dic47C2311yescharacteristic
215C2×C4⋊Dic47C2311yescharacteristic
216C2×C4⋊Dic47C2311yescharacteristic
217C2×C4⋊Dic47C2311yescharacteristic
218C2×C4⋊Dic47C2311yescharacteristic
219C2×C4⋊Dic47C2311yescharacteristic
220C2×Dic47⋊C4C2311yescharacteristic
221C2×Dic47⋊C4C2311yescharacteristic
222C2×Dic47⋊C4C2311yescharacteristic
223C2×Dic47⋊C4C2311yescharacteristic
224C2×Dic47⋊C4C2311yescharacteristic
225C2×Dic47⋊C4C2311yescharacteristic
226C2×Dic47⋊C4C2311yescharacteristic
227C2×Dic47⋊C4C2311yescharacteristic
228C2×Dic47⋊C4C2311yescharacteristic
229C2×Dic47⋊C4C2311yescharacteristic
230C2×Dic47⋊C4C2311yescharacteristic
231C2×Dic47⋊C4C2311yescharacteristic
232C4⋊C4×D47—24no—
233C4⋊C4×D47—24no—
234C4⋊C4×D47—42no—
235C4⋊C4×D47—42no—
236C4⋊C4×D47—42no—
237C4⋊C4×D47—42no—
238C2×C22⋊Dic47C2311yescharacteristic
239C2×C22⋊Dic47C2311yescharacteristic
240C2×C22⋊Dic47C2311yescharacteristic
241C2×C22⋊Dic47C2311yescharacteristic
242C2×C22⋊Dic47C2311yescharacteristic
243C2×C22⋊Dic47C2311yescharacteristic
244C2×C22⋊Dic47C2311yescharacteristic
245C2×C22⋊Dic47C2311yescharacteristic
246C2×C22⋊Dic47C2311yescharacteristic
247C2×C22⋊Dic47C2311yescharacteristic
248C2×C22⋊Dic47C2311yescharacteristic
249C2×(C2×D47)⋊C4C2311yescharacteristic
250C2×(C2×D47)⋊C4C2311yescharacteristic
251C2×(C2×D47)⋊C4C2311yescharacteristic
252C2×(C2×D47)⋊C4C2311yescharacteristic
253C2×(C2×D47)⋊C4C2311yescharacteristic
254C2×(C2×D47)⋊C4C2311yescharacteristic
255C2×(C2×D47)⋊C4C2311yescharacteristic
256C2×(C2×D47)⋊C4C2311yescharacteristic
257C2×(C2×D47)⋊C4C2311yescharacteristic
258C2×(C2×D47)⋊C4C2311yescharacteristic
259C2×(C2×D47)⋊C4C2311yescharacteristic
260C2×(C2×D47)⋊C4C2311yescharacteristic
261C2×(C2×D47)⋊C4C2311yescharacteristic
262C2×(C2×D47)⋊C4C2311yescharacteristic
263C2×(C2×D47)⋊C4C2311yescharacteristic
264C2×(C2×D47)⋊C4C2311yescharacteristic
265C2×(C2×D47)⋊C4C2311yescharacteristic
266C2×(C2×D47)⋊C4C2311yescharacteristic
267C2×(C2×D47)⋊C4C2311yescharacteristic
268C2×(C2×D47)⋊C4C2311yescharacteristic
269C2×(C2×D47)⋊C4C2311yescharacteristic
270C2×(C2×D47)⋊C4C2311yescharacteristic
271C22⋊C4×D47—24no—
272C22⋊C4×D47—24no—
273C22⋊C4×D47—24no—
274C22⋊C4×D47—24no—
275C22⋊C4×D47—24no—
276C22⋊C4×D47—24no—
277C22⋊C4×D47—24no—
278C22⋊C4×D47—24no—
279C22⋊C4×D47—42no—
280C22⋊C4×D47—42no—
281C22⋊C4×D47—42no—
282C2×C4×Dic47C2311yescharacteristic
283C2×C4×Dic47C2311yescharacteristic
284C2×C4×Dic47C2311yescharacteristic
285C2×C4×Dic47C2311yescharacteristic
286C2×C4×Dic47C2311yescharacteristic
287C2×C4×Dic47C2311yescharacteristic
288C2×C4×Dic47C2311yescharacteristic
289C2×C4×Dic47C2311yescharacteristic
290C2×C4×Dic47C2311yescharacteristic
291C2×C4×Dic47C2311yescharacteristic
292C2×C4×Dic47C2311yescharacteristic
293C2×C4×Dic47C2311yescharacteristic
294C42×D47—24no—
295C42×D47—24no—
296C42×D47—42no—
297C42×D47—42no—
298C47⋊#95C2311yescharacteristic
299C47⋊#95C2311yescharacteristic
300C47⋊#95C2311yescharacteristic
301C47⋊#95C2311yescharacteristic
302C47⋊#95C2311yescharacteristic
303C47⋊#95C2311yescharacteristic
304C47⋊#95C2311yescharacteristic
305C47⋊#95C2311yescharacteristic
306C47⋊#95C2311yescharacteristic
307C47⋊#95C2311yescharacteristic
308C47⋊#95C2311yescharacteristic
309C47⋊#95C2311yescharacteristic
310C47⋊#95C2311yescharacteristic
311C47⋊#95C2311yescharacteristic
312C47⋊#95C2311yescharacteristic
313C47⋊#95C2311yescharacteristic
314C47⋊#95C2311yescharacteristic
315C47⋊#95C2311yescharacteristic
316C47⋊#95C2311yescharacteristic
317C47⋊#95C2311yescharacteristic
318C47⋊#95C2311yescharacteristic
319C47⋊#95C2311yescharacteristic
320C47⋊#95C2311yescharacteristic
321C47⋊#95C2311yescharacteristic
322C47⋊#95C2311yescharacteristic
323C47⋊#95C2311yescharacteristic
324C47⋊#95C2311yescharacteristic
325C47⋊#95C2311yescharacteristic
326C47⋊#95C2311yescharacteristic
327C47⋊#95C2311yescharacteristic
328C47⋊#95C2311yescharacteristic
329C47⋊#95C2311yescharacteristic
330C47⋊#95C2311yescharacteristic
331C47⋊#95C2311yescharacteristic
332C47⋊#95C2311yescharacteristic
333C47⋊#95C2311yescharacteristic
334C22×D4×C47C2311yescharacteristic
335C23×C4×C47C2311yescharacteristic
336C2×C4⋊C4×C47C2311yescharacteristic
337C2×C4⋊C4×C47C2311yescharacteristic
338C2×C4⋊C4×C47C2311yescharacteristic
339C2×C4⋊C4×C47C2311yescharacteristic
340C2×C4⋊C4×C47C2311yescharacteristic
341C2×C4⋊C4×C47C2311yescharacteristic
342C2×C22⋊C4×C47C2311yescharacteristic
343C2×C22⋊C4×C47C2311yescharacteristic
344C2×C22⋊C4×C47C2311yescharacteristic
345C2×C22⋊C4×C47C2311yescharacteristic
346C2×C22⋊C4×C47C2311yescharacteristic
347C2×C22⋊C4×C47C2311yescharacteristic
348C2×C22⋊C4×C47C2311yescharacteristic
349C2×C22⋊C4×C47C2311yescharacteristic
350C2×C22⋊C4×C47C2311yescharacteristic
351C2×C22⋊C4×C47C2311yescharacteristic
352C2×C22⋊C4×C47C2311yescharacteristic
353C2×C42×C47C2311yescharacteristic
354C2×C42×C47C2311yescharacteristic
355C2×C42×C47C2311yescharacteristic
356C2×C42×C47C2311yescharacteristic
357#95×C47C2311yescharacteristic
358#95×C47C2311yescharacteristic
359#95×C47C2311yescharacteristic
360#95×C47C2311yescharacteristic
361#95×C47C2311yescharacteristic
362#95×C47C2311yescharacteristic
363#95×C47C2311yescharacteristic
364#95×C47C2311yescharacteristic
365#95×C47C2311yescharacteristic
366#95×C47C2311yescharacteristic
367#95×C47C2311yescharacteristic
368#95×C47C2311yescharacteristic
369C24×C47C2411yescharacteristic
370C24×C47C2411yescharacteristic
371C23×D47—22no—
372C23×D47—22no—
373C23×D47—22no—
374C23×D47—22no—
375C23×D47—22no—
376C23×D47—22no—
377C23×D47—22no—
378C23×D47—22no—
379C23×D47—22no—
380C23×D47—22no—
381C23×D47—22no—
382C23×D47—22no—
383C23×D47—22no—
384C23×D47#4114yes—
385C23×D47C2411yescharacteristic
386C23×D47C2411yescharacteristic
387C23×D47C2411yescharacteristic
388C2×D4×C47—22no—
389C2×D4×C47—41no—
390C2×D4×C47—41no—
391C22×C4×C47—22no—
392C22×C4×C47—22no—
393C22×C4×C47—41no—
394C22×C4×C47C2411yescharacteristic
395C22×C4×C47C2411yescharacteristic
396C22×C4×C47C2411yescharacteristic
397C22×C4×C47C2411yescharacteristic
398C22×C4×C47C2411yescharacteristic
399C22×C4×C47C2411yescharacteristic
400C22×C4×C47C2411yescharacteristic
401C22×C4×C47C2411yescharacteristic
402C22×C4×C47C2411yescharacteristic
403C22×C4×C47C2411yescharacteristic
404C22×C4×C47C2411yescharacteristic
405C22×C4×C47C2411yescharacteristic
406C22×C4×C47C2411yescharacteristic
407C2×C22⋊D47—22no—
408C2×C22⋊D47—22no—
409C2×C22⋊D47—41no—
410C2×C22⋊D47—41no—
411C2×C22⋊D47—41no—
412C2×C22⋊D47—41no—
413C22×Dic47—22no—
414C22×Dic47—22no—
415C22×Dic47—41no—
416C22×Dic47C2411yescharacteristic
417C22×Dic47C2411yescharacteristic
418C22×Dic47C2411yescharacteristic
419C22×Dic47C2411yescharacteristic
420C22×Dic47C2411yescharacteristic
421C22×Dic47C2411yescharacteristic
422C22×Dic47C2411yescharacteristic
423C22×Dic47C2411yescharacteristic
424C22×Dic47C2411yescharacteristic
425C22×Dic47C2411yescharacteristic
426C22×Dic47C2411yescharacteristic
427C22×Dic47C2411yescharacteristic
428C22×Dic47C2411yescharacteristic
429D4×D47—416no—
430C2×D188—22no—
431C2×D188—41no—
432C2×D188—41no—
433C2×C4×D47—22no—
434C2×C4×D47—22no—
435C2×C4×D47—22no—
436C2×C4×D47—22no—
437C2×C4×D47—22no—
438C2×C4×D47—22no—
439C2×C4×D47—22no—
440C2×C4×D47—22no—
441C2×C4×D47—22no—
442C2×C4×D47—22no—
443C2×C4×D47—22no—
444C2×C4×D47—22no—
445C2×C4×D47—22no—
446C2×C4×D47—22no—
447C2×C4×D47—22no—
448C2×C4×D47—22no—
449C2×C4×D47—22no—
450C2×C4×D47—22no—
451C2×C4×D47—22no—
452C2×C4×D47—22no—
453C2×C4×D47—22no—
454C2×C4×D47—22no—
455C2×C4×D47—22no—
456C2×C4×D47—22no—
457C2×C4×D47—22no—
458C2×C4×D47—22no—
459C2×C4×D47—22no—
460C2×C4×D47—22no—
461C2×C4×D47—22no—
462C2×C4×D47—22no—
463C2×C4×D47—22no—
464C2×C4×D47—22no—
465C2×C4×D47—22no—
466C2×C4×D47—22no—
467C2×C4×D47—22no—
468C2×C4×D47—22no—
469C2×C4×D47—22no—
470C2×C4×D47—22no—
471C2×C4×D47—22no—
472C2×C4×D47—416no—
473C2×C4×D47—41no—
474C2×C4×D47—41no—
475C2×C4×D47#4114yes—
476C2×C4×D47#4114yes—
477C2×C4×D47#4114yes—
478C2×C4×D47#4114yes—
479C4⋊C4×C47—22no—
480C4⋊C4×C47—22no—
481C4⋊C4×C47—41no—
482C4⋊C4×C47—41no—
483C4⋊C4×C47—41no—
484C4⋊C4×C47—41no—
485C22⋊C4×C47—22no—
486C22⋊C4×C47—22no—
487C22⋊C4×C47—22no—
488C22⋊C4×C47—22no—
489C22⋊C4×C47—22no—
490C22⋊C4×C47—22no—
491C22⋊C4×C47—22no—
492C22⋊C4×C47—22no—
493C22⋊C4×C47—41no—
494C22⋊C4×C47—41no—
495C22⋊C4×C47—41no—
496C42×C47—22no—
497C42×C47—22no—
498C42×C47—41no—
499C42×C47—41no—
500C22⋊Dic47—22no—
501C22⋊Dic47—22no—
502C22⋊Dic47—22no—
503C22⋊Dic47—22no—
504C22⋊Dic47—22no—
505C22⋊Dic47—22no—
506C22⋊Dic47—22no—
507C22⋊Dic47—22no—
508C22⋊Dic47—41no—
509C22⋊Dic47—41no—
510C22⋊Dic47—41no—
511(C2×D47)⋊C4—22no—
512(C2×D47)⋊C4—22no—
513(C2×D47)⋊C4—22no—
514(C2×D47)⋊C4—22no—
515(C2×D47)⋊C4—22no—
516(C2×D47)⋊C4—22no—
517(C2×D47)⋊C4—22no—
518(C2×D47)⋊C4—22no—
519(C2×D47)⋊C4—22no—
520(C2×D47)⋊C4—22no—
521(C2×D47)⋊C4—22no—
522(C2×D47)⋊C4—22no—
523(C2×D47)⋊C4—22no—
524(C2×D47)⋊C4—22no—
525(C2×D47)⋊C4—22no—
526(C2×D47)⋊C4—22no—
527(C2×D47)⋊C4—41no—
528(C2×D47)⋊C4—41no—
529(C2×D47)⋊C4—41no—
530(C2×D47)⋊C4—41no—
531(C2×D47)⋊C4—41no—
532(C2×D47)⋊C4—41no—
533C4⋊Dic47—22no—
534C4⋊Dic47—22no—
535C4⋊Dic47—41no—
536C4⋊Dic47—41no—
537C4⋊Dic47—41no—
538C4⋊Dic47—41no—
539Dic47⋊C4—22no—
540Dic47⋊C4—22no—
541Dic47⋊C4—22no—
542Dic47⋊C4—22no—
543Dic47⋊C4—41no—
544Dic47⋊C4—41no—
545Dic47⋊C4—41no—
546Dic47⋊C4—41no—
547Dic47⋊C4—41no—
548Dic47⋊C4—41no—
549Dic47⋊C4—41no—
550Dic47⋊C4—41no—
551C4×Dic47—22no—
552C4×Dic47—22no—
553C4×Dic47—22no—
554C4×Dic47—22no—
555C4×Dic47—22no—
556C4×Dic47—22no—
557C4×Dic47—41no—
558C4×Dic47—41no—
559C4×Dic47—41no—
560C4×Dic47—41no—
561C4×Dic47—41no—
562C4×Dic47—41no—
563C23×C47—21no—
564C23×C47—21no—
565C23×C47—21no—
566C23×C47—21no—
567C23×C47—21no—
568C23×C47—21no—
569C23×C47—21no—
570C23×C47—21no—
571C23×C47—21no—
572C23×C47—21no—
573C23×C47—21no—
574C23×C47—21no—
575C23×C47—21no—
576C23×C47C2×#4112yes—
577C23×C47C2511yescharacteristic
578C22×D47—21no—
579C22×D47—21no—
580C22×D47—21no—
581C22×D47—21no—
582C22×D47—21no—
583C22×D47—21no—
584C22×D47—28no—
585C22×D47—28no—
586C22×D47—28no—
587C22×D47—21no—
588C22×D47—21no—
589C22×D47—21no—
590C22×D47—21no—
591C22×D47—21no—
592C22×D47—21no—
593C22×D47—21no—
594C22×D47—44no—
595C22×D47—44no—
596C22×D47—44no—
597C22×D47—44no—
598C22×D47—44no—
599C22×D47—44no—
600C22×D47—44no—
601C22×D47—44no—
602C22×D47—44no—
603C22×D47—44no—
604C22×D47—44no—
605C22×D47C2×#4112yes—
606C22×D47C2×#4112yes—
607C22×D47C2×#4112yes—
608C22×D47C2×#4112yes—
609C22×D47C2×#4112yes—
610C22×D47C2×#4112yes—
611C22×D47H(5,𝔽2)12yes—
612C22×D47H(5,𝔽2)12yes—
613D4×C47—44no—
614C2×C4×C47—21no—
615C2×C4×C47—21no—
616C2×C4×C47—21no—
617C2×C4×C47—21no—
618C2×C4×C47—21no—
619C2×C4×C47—21no—
620C2×C4×C47—21no—
621C2×C4×C47—21no—
622C2×C4×C47—21no—
623C2×C4×C47—21no—
624C2×C4×C47—21no—
625C2×C4×C47—21no—
626C2×C4×C47—21no—
627C2×C4×C47—21no—
628C2×C4×C47—21no—
629C2×C4×C47—21no—
630C2×C4×C47—21no—
631C2×C4×C47—21no—
632C2×C4×C47—21no—
633C2×C4×C47—21no—
634C2×C4×C47—21no—
635C2×C4×C47—21no—
636C2×C4×C47—21no—
637C2×C4×C47—21no—
638C2×C4×C47—21no—
639C2×C4×C47—21no—
640C2×C4×C47—21no—
641C2×C4×C47—21no—
642C2×C4×C47—21no—
643C2×C4×C47—21no—
644C2×C4×C47—21no—
645C2×C4×C47—21no—
646C2×C4×C47—21no—
647C2×C4×C47—21no—
648C2×C4×C47—21no—
649C2×C4×C47—44no—
650C2×C4×C47C2×#4112yes—
651C2×C4×C47C2×#4112yes—
652C2×C4×C47C2×#4112yes—
653C2×C4×C47C2×#4112yes—
654C22⋊D47—44no—
655C22⋊D47—44no—
656C2×Dic47—21no—
657C2×Dic47—21no—
658C2×Dic47—21no—
659C2×Dic47—21no—
660C2×Dic47—21no—
661C2×Dic47—21no—
662C2×Dic47—21no—
663C2×Dic47—21no—
664C2×Dic47—21no—
665C2×Dic47—21no—
666C2×Dic47—21no—
667C2×Dic47—21no—
668C2×Dic47—21no—
669C2×Dic47—21no—
670C2×Dic47—21no—
671C2×Dic47—21no—
672C2×Dic47—21no—
673C2×Dic47—21no—
674C2×Dic47—21no—
675C2×Dic47—21no—
676C2×Dic47—21no—
677C2×Dic47—21no—
678C2×Dic47—21no—
679C2×Dic47—21no—
680C2×Dic47—21no—
681C2×Dic47—21no—
682C2×Dic47—21no—
683C2×Dic47—21no—
684C2×Dic47—21no—
685C2×Dic47—21no—
686C2×Dic47—21no—
687C2×Dic47—21no—
688C2×Dic47—21no—
689C2×Dic47—21no—
690C2×Dic47—21no—
691C2×Dic47—44no—
692C2×Dic47C2×#4112yes—
693C2×Dic47C2×#4112yes—
694C2×Dic47C2×#4112yes—
695C2×Dic47C2×#4112yes—
696D188—44no—
697C4×D47—28no—
698C4×D47—28no—
699C4×D47—28no—
700C4×D47—28no—
701C4×D47—44no—
702C4×D47—44no—
703C4×D47—44no—
704C4×D47—44no—
705C4×D47—44no—
706C4×D47—44no—
707C4×D47—44no—
708C4×D47—44no—
709C4×D47—44no—
710C4×D47—44no—
711C4×D47—44no—
712C2×#2518—471nomaximal, Sylow
713C22×C47—22no—
714C22×C47—22no—
715C22×C47—22no—
716C22×C47—41no—
717C22×C47—41no—
718C22×C47—41no—
719C22×C47—41no—
720C22×C47—41no—
721C22×C47—41no—
722C22×C47—41no—
723C22×C47—41no—
724C22×C47—41no—
725C22×C47—41no—
726C22×C47—41no—
727C22×C47C22×#4111yescharacteristic
728C22×C47C22×#4111yescharacteristic
729C22×C47C22×#4111yescharacteristic
730C22×C47C22×#4111yescharacteristic
731C22×C47C22×#4111yescharacteristic
732C22×C47C2×H(5,𝔽2)11yescharacteristic
733C22×C47C2×H(5,𝔽2)11yescharacteristic
734C2×D47—22no—
735C2×D47—22no—
736C2×D47—22no—
737C2×D47—41no—
738C2×D47—41no—
739C2×D47—41no—
740C2×D47—41no—
741C2×D47—416no—
742C2×D47—41no—
743C2×D47—41no—
744C2×D47—41no—
745C2×D47—41no—
746C2×D47—41no—
747C2×D47—41no—
748C2×D47—41no—
749C2×D47—88no—
750C2×D47#52914yes—
751C2×D47#52914yes—
752C2×D47#53814yes—
753C2×D47#55114yes—
754C2×D47#55314yes—
755C2×D47#55314yes—
756C2×D47#55514yes—
757C4×C47—22no—
758C4×C47—22no—
759C4×C47—22no—
760C4×C47—22no—
761C4×C47—41no—
762C4×C47—41no—
763C4×C47—41no—
764C4×C47—41no—
765C4×C47—41no—
766C4×C47—41no—
767C4×C47—41no—
768C4×C47—41no—
769C4×C47—41no—
770Dic47—22no—
771Dic47—22no—
772Dic47—22no—
773Dic47—22no—
774Dic47—41no—
775Dic47—41no—
776Dic47—41no—
777Dic47—41no—
778Dic47—41no—
779Dic47—41no—
780Dic47—41no—
781Dic47—41no—
782Dic47—41no—
783#2518—471no—
784#2518—471no—
785#2518—471no—
786#2518—471no—
787#2518—471no—
788#2518—471no—
789#2518—471no—
790#2518—471no—
791#2518—471no—
792#2518—471no—
793#2518—471no—
794#2518—471no—
795#2518—471no—
796#2518—471no—
797#2518—471no—
798#2518D4711yescharacteristic, direct product factor
799C2×#397—471no—
800C2×#396—471no—
801C2×#394—471no—
802C2×#394—471no—
803C2×#389—471no—
804C2×#388—471no—
805C2×#388—471no—
806C2×#388—471no—
807C2×#388—471no—
808C2×#387—471no—
809C2×#386—471no—
810C2×#383—471no—
811C2×#382—471no—
812C2×C4×C22⋊C4—471no—
813C2×C4×C22⋊C4—471no—
814C2×C47—42no—
815C2×C47—81no—
816C2×C47C2×#52911yescharacteristic
817C2×C47C2×#52911yescharacteristic
818C2×C47C2×#53811yescharacteristic
819C2×C47C2×#55111yescharacteristic
820C2×C47C2×#55311yescharacteristic
821C2×C47C2×#55311yescharacteristic
822C2×C47C2×#55511yescharacteristic
823D47—42no—
824D47—81no—
825D47#251818yesdirect product factor
826C23×D4—471no—
827C24×C4—471no—
828C22×C4⋊C4—471no—
829C22×C4⋊C4—471no—
830C22×C4⋊C4—471no—
831C22×C4⋊C4—471no—
832C22×C4⋊C4—471no—
833C22×C4⋊C4—471no—
834C22×C22⋊C4—471no—
835C22×C22⋊C4—471no—
836C22×C22⋊C4—471no—
837C22×C22⋊C4—471no—
838C22×C22⋊C4—471no—
839C22×C22⋊C4—471no—
840C22×C22⋊C4—471no—
841C22×C22⋊C4—471no—
842C22×C22⋊C4—471no—
843C22×C22⋊C4—471no—
844C22×C22⋊C4—471no—
845C22×C42—471no—
846C22×C42—471no—
847C22×C42—471no—
848C22×C42—471no—
849#397—471no—
850#397—471no—
851#397—471no—
852#397—471no—
853#397—471no—
854#397—471no—
855#397—471no—
856#397C2×D4711yescharacteristic, complemented
857#396—471no—
858#396—471no—
859#396—471no—
860#396—471no—
861#396—471no—
862#396—471no—
863#396—471no—
864#396C2×D4711yescharacteristic, complemented
865#394—471no—
866#394—471no—
867#394—471no—
868#394—471no—
869#394—471no—
870#394—471no—
871#394—471no—
872#394—471no—
873#394—471no—
874#394—471no—
875#394—471no—
876#394—471no—
877#394—471no—
878#394—471no—
879#394C2×D4711yescharacteristic
880#394C2×D4711yescharacteristic
881#389—471no—
882#389—471no—
883#389—471no—
884#389—471no—
885#389—471no—
886#389—471no—
887#389—471no—
888#389C2×D4711yescharacteristic, complemented
889#388—471no—
890#388—471no—
891#388—471no—
892#388—471no—
893#388—471no—
894#388—471no—
895#388—471no—
896#388—471no—
897#388—471no—
898#388—471no—
899#388—471no—
900#388—471no—
901#388—471no—
902#388—471no—
903#388—471no—
904#388—471no—
905#388—471no—
906#388—471no—
907#388—471no—
908#388—471no—
909#388—471no—
910#388—471no—
911#388—471no—
912#388—471no—
913#388—471no—
914#388—471no—
915#388—471no—
916#388—471no—
917#388C2×D4711yescharacteristic, complemented
918#388C2×D4711yescharacteristic, complemented
919#388C2×D4711yescharacteristic, complemented
920#388C2×D4711yescharacteristic, complemented
921#387—471no—
922#387—471no—
923#387—471no—
924#387—471no—
925#387—471no—
926#387—471no—
927#387—471no—
928#387C2×D4711yescharacteristic, complemented
929#386—471no—
930#386—471no—
931#386—471no—
932#386—471no—
933#386—471no—
934#386—471no—
935#386—471no—
936#386C2×D4711yescharacteristic
937#383—471no—
938#383—471no—
939#383—471no—
940#383—471no—
941#383—471no—
942#383—471no—
943#383—471no—
944#383C2×D4711yescharacteristic, complemented
945#382—471no—
946#382—471no—
947#382—471no—
948#382—471no—
949#382—471no—
950#382—471no—
951#382—471no—
952#382C2×D4711yescharacteristic, complemented
953C4×C22⋊C4—471no—
954C4×C22⋊C4—471no—
955C4×C22⋊C4—471no—
956C4×C22⋊C4—471no—
957C4×C22⋊C4—471no—
958C4×C22⋊C4—471no—
959C4×C22⋊C4—471no—
960C4×C22⋊C4—471no—
961C4×C22⋊C4—471no—
962C4×C22⋊C4—471no—
963C4×C22⋊C4—471no—
964C4×C22⋊C4—471no—
965C4×C22⋊C4—471no—
966C4×C22⋊C4—471no—
967C4×C22⋊C4C2×D4711yescharacteristic, complemented
968C4×C22⋊C4C2×D4711yescharacteristic, complemented
969C2×#95—471no—
970C2×#95—471no—
971C2×#95—471no—
972C2×#95—471no—
973C2×#95—471no—
974C2×#95—471no—
975C2×#95—471no—
976C2×#95—471no—
977C2×#95—471no—
978C2×#95—471no—
979C2×#95—471no—
980C2×#95—471no—
981C47C2×#251811yescharacteristic, complemented, Sylow
982C25—471no—
983C25—471no—
984C22×D4—471no—
985C22×D4—471no—
986C22×D4—471no—
987C22×D4—944no—
988C22×D4—1882no—
989C22×D4—1882no—
990C22×D4C22×D4711yescharacteristic
991C23×C4—471no—
992C23×C4—471no—
993C23×C4—471no—
994C23×C4—471no—
995C23×C4—471no—
996C23×C4—471no—
997C23×C4—471no—
998C23×C4—471no—
999C23×C4—471no—
1000C23×C4—471no—
1001C23×C4—471no—
1002C23×C4—471no—
1003C23×C4—471no—
1004C23×C4—471no—
1005C23×C4—471no—
1006C23×C4—471no—
1007C23×C4—944no—
1008C23×C4—944no—
1009C23×C4—1882no—
1010C23×C4C22×D4711yescharacteristic
1011C2×C4⋊C4—471no—
1012C2×C4⋊C4—471no—
1013C2×C4⋊C4—471no—
1014C2×C4⋊C4—471no—
1015C2×C4⋊C4—471no—
1016C2×C4⋊C4—471no—
1017C2×C4⋊C4—471no—
1018C2×C4⋊C4—471no—
1019C2×C4⋊C4—471no—
1020C2×C4⋊C4—471no—
1021C2×C4⋊C4—471no—
1022C2×C4⋊C4—471no—
1023C2×C4⋊C4—471no—
1024C2×C4⋊C4—471no—
1025C2×C4⋊C4—471no—
1026C2×C4⋊C4—471no—
1027C2×C4⋊C4—471no—
1028C2×C4⋊C4—471no—
1029C2×C4⋊C4—944no—
1030C2×C4⋊C4—944no—
1031C2×C4⋊C4—1882no—
1032C2×C4⋊C4—1882no—
1033C2×C4⋊C4—1882no—
1034C2×C4⋊C4—1882no—
1035C2×C4⋊C4C22×D4711yescharacteristic
1036C2×C4⋊C4C22×D4711yescharacteristic
1037C2×C4⋊C4C22×D4711yescharacteristic
1038C2×C4⋊C4C22×D4711yescharacteristic
1039C2×C4⋊C4C22×D4711yescharacteristic
1040C2×C4⋊C4C22×D4711yescharacteristic
1041C2×C22⋊C4—471no—
1042C2×C22⋊C4—471no—
1043C2×C22⋊C4—471no—
1044C2×C22⋊C4—471no—
1045C2×C22⋊C4—471no—
1046C2×C22⋊C4—471no—
1047C2×C22⋊C4—471no—
1048C2×C22⋊C4—471no—
1049C2×C22⋊C4—471no—
1050C2×C22⋊C4—471no—
1051C2×C22⋊C4—471no—
1052C2×C22⋊C4—471no—
1053C2×C22⋊C4—471no—
1054C2×C22⋊C4—471no—
1055C2×C22⋊C4—471no—
1056C2×C22⋊C4—471no—
1057C2×C22⋊C4—471no—
1058C2×C22⋊C4—471no—
1059C2×C22⋊C4—471no—
1060C2×C22⋊C4—471no—
1061C2×C22⋊C4—471no—
1062C2×C22⋊C4—471no—
1063C2×C22⋊C4—471no—
1064C2×C22⋊C4—471no—
1065C2×C22⋊C4—471no—
1066C2×C22⋊C4—471no—
1067C2×C22⋊C4—471no—
1068C2×C22⋊C4—471no—
1069C2×C22⋊C4—471no—
1070C2×C22⋊C4—471no—
1071C2×C22⋊C4—471no—
1072C2×C22⋊C4—471no—
1073C2×C22⋊C4—471no—
1074C2×C22⋊C4—944no—
1075C2×C22⋊C4—944no—
1076C2×C22⋊C4—944no—
1077C2×C22⋊C4—944no—
1078C2×C22⋊C4—944no—
1079C2×C22⋊C4—944no—
1080C2×C22⋊C4—944no—
1081C2×C22⋊C4—944no—
1082C2×C22⋊C4—1882no—
1083C2×C22⋊C4—1882no—
1084C2×C22⋊C4—1882no—
1085C2×C22⋊C4C22×D4711yescharacteristic
1086C2×C22⋊C4C22×D4711yescharacteristic
1087C2×C22⋊C4C22×D4711yescharacteristic
1088C2×C22⋊C4C22×D4711yescharacteristic
1089C2×C22⋊C4C22×D4711yescharacteristic
1090C2×C22⋊C4C22×D4711yescharacteristic
1091C2×C22⋊C4C22×D4711yescharacteristic
1092C2×C22⋊C4C22×D4711yescharacteristic
1093C2×C22⋊C4C22×D4711yescharacteristic
1094C2×C22⋊C4C22×D4711yescharacteristic
1095C2×C22⋊C4C22×D4711yescharacteristic
1096C2×C42—471no—
1097C2×C42—471no—
1098C2×C42—471no—
1099C2×C42—471no—
1100C2×C42—471no—
1101C2×C42—471no—
1102C2×C42—471no—
1103C2×C42—471no—
1104C2×C42—471no—
1105C2×C42—471no—
1106C2×C42—471no—
1107C2×C42—471no—
1108C2×C42—944no—
1109C2×C42—944no—
1110C2×C42—1882no—
1111C2×C42—1882no—
1112C2×C42C22×D4711yescharacteristic
1113C2×C42C22×D4711yescharacteristic
1114C2×C42C22×D4711yescharacteristic
1115C2×C42C22×D4711yescharacteristic
1116#95—471no—
1117#95—471no—
1118#95—471no—
1119#95—471no—
1120#95—471no—
1121#95—471no—
1122#95—471no—
1123#95—471no—
1124#95—471no—
1125#95—471no—
1126#95—471no—
1127#95—471no—
1128#95—471no—
1129#95—471no—
1130#95—471no—
1131#95—471no—
1132#95—471no—
1133#95—471no—
1134#95—471no—
1135#95—471no—
1136#95—471no—
1137#95—471no—
1138#95—471no—
1139#95—471no—
1140#95—471no—
1141#95—471no—
1142#95—471no—
1143#95—471no—
1144#95—471no—
1145#95—471no—
1146#95—471no—
1147#95—471no—
1148#95—471no—
1149#95—471no—
1150#95—471no—
1151#95—471no—
1152#95C22×D4711yescharacteristic
1153#95C22×D4711yescharacteristic
1154#95C22×D4711yescharacteristic
1155#95C22×D4711yescharacteristic
1156#95C22×D4711yescharacteristic
1157#95C22×D4711yescharacteristic
1158#95C22×D4711yescharacteristic
1159#95C22×D4711yescharacteristic
1160#95C22×D4711yescharacteristic
1161#95C22×D4711yescharacteristic
1162#95C22×D4711yescharacteristic
1163#95C22×D4711yescharacteristic
1164C24—471no—
1165C24—474no—
1166C24—471no—
1167C24—471no—
1168C24—942no—
1169C24—942no—
1170C24—942no—
1171C24—942no—
1172C24—942no—
1173C24—942no—
1174C24—942no—
1175C24—942no—
1176C24—942no—
1177C24—942no—
1178C24—942no—
1179C24—942no—
1180C24—942no—
1181C24C23×D4711yescharacteristic
1182C24C23×D4711yescharacteristic
1183C2×D4—22no—
1184C2×D4—41no—
1185C2×D4—41no—
1186C2×D4—942no—
1187C2×D4—942no—
1188C2×D4—942no—
1189C2×D4—1881no—
1190C2×D4—1881no—
1191C2×D4—1881no—
1192C2×D4—1881no—
1193C2×D4—1881no—
1194C2×D4—1881no—
1195C2×D4—18816no—
1196C22×C4—22no—
1197C22×C4—22no—
1198C22×C4—41no—
1199C22×C4—471no—
1200C22×C4—471no—
1201C22×C4—471no—
1202C22×C4—471no—
1203C22×C4—474no—
1204C22×C4—474no—
1205C22×C4—474no—
1206C22×C4—474no—
1207C22×C4—471no—
1208C22×C4—471no—
1209C22×C4—471no—
1210C22×C4—471no—
1211C22×C4—471no—
1212C22×C4—471no—
1213C22×C4—471no—
1214C22×C4—471no—
1215C22×C4—471no—
1216C22×C4—942no—
1217C22×C4—942no—
1218C22×C4—942no—
1219C22×C4—942no—
1220C22×C4—942no—
1221C22×C4—942no—
1222C22×C4—942no—
1223C22×C4—942no—
1224C22×C4—942no—
1225C22×C4—942no—
1226C22×C4—942no—
1227C22×C4—942no—
1228C22×C4—942no—
1229C22×C4—942no—
1230C22×C4—942no—
1231C22×C4—942no—
1232C22×C4—942no—
1233C22×C4—942no—
1234C22×C4—942no—
1235C22×C4—942no—
1236C22×C4—942no—
1237C22×C4—942no—
1238C22×C4—942no—
1239C22×C4—942no—
1240C22×C4—942no—
1241C22×C4—942no—
1242C22×C4—942no—
1243C22×C4—942no—
1244C22×C4—942no—
1245C22×C4—942no—
1246C22×C4—942no—
1247C22×C4—942no—
1248C22×C4—942no—
1249C22×C4—942no—
1250C22×C4—942no—
1251C22×C4—942no—
1252C22×C4—942no—
1253C22×C4—942no—
1254C22×C4—942no—
1255C22×C4—942no—
1256C22×C4—942no—
1257C22×C4—1881no—
1258C22×C4—1881no—
1259C22×C4—18816no—
1260C22×C4—1881no—
1261C22×C4C23×D4711yescharacteristic
1262C22×C4C23×D4711yescharacteristic
1263C22×C4C23×D4711yescharacteristic
1264C22×C4C23×D4711yescharacteristic
1265C22×C4C23×D4711yescharacteristic
1266C22×C4C23×D4711yescharacteristic
1267C22×C4C23×D4711yescharacteristic
1268C22×C4C23×D4711yescharacteristic
1269C22×C4C23×D4711yescharacteristic
1270C22×C4C23×D4711yescharacteristic
1271C22×C4C23×D4711yescharacteristic
1272C22×C4C23×D4711yescharacteristic
1273C22×C4C23×D4711yescharacteristic
1274C4⋊C4—22no—
1275C4⋊C4—22no—
1276C4⋊C4—41no—
1277C4⋊C4—41no—
1278C4⋊C4—41no—
1279C4⋊C4—41no—
1280C4⋊C4—942no—
1281C4⋊C4—942no—
1282C4⋊C4—942no—
1283C4⋊C4—942no—
1284C4⋊C4—942no—
1285C4⋊C4—942no—
1286C4⋊C4—1881no—
1287C4⋊C4—1881no—
1288C4⋊C4—1881no—
1289C4⋊C4—1881no—
1290C4⋊C4—1881no—
1291C4⋊C4—1881no—
1292C4⋊C4—1881no—
1293C4⋊C4—1881no—
1294C4⋊C4—1881no—
1295C4⋊C4—1881no—
1296C4⋊C4—1881no—
1297C4⋊C4—1881no—
1298C22⋊C4—22no—
1299C22⋊C4—22no—
1300C22⋊C4—22no—
1301C22⋊C4—22no—
1302C22⋊C4—22no—
1303C22⋊C4—22no—
1304C22⋊C4—22no—
1305C22⋊C4—22no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C22⋊C4—942no—
1310C22⋊C4—942no—
1311C22⋊C4—942no—
1312C22⋊C4—942no—
1313C22⋊C4—942no—
1314C22⋊C4—942no—
1315C22⋊C4—942no—
1316C22⋊C4—942no—
1317C22⋊C4—942no—
1318C22⋊C4—942no—
1319C22⋊C4—942no—
1320C22⋊C4—942no—
1321C22⋊C4—942no—
1322C22⋊C4—942no—
1323C22⋊C4—942no—
1324C22⋊C4—942no—
1325C22⋊C4—942no—
1326C22⋊C4—942no—
1327C22⋊C4—942no—
1328C22⋊C4—942no—
1329C22⋊C4—942no—
1330C22⋊C4—942no—
1331C22⋊C4—942no—
1332C22⋊C4—942no—
1333C22⋊C4—1881no—
1334C22⋊C4—1881no—
1335C22⋊C4—1881no—
1336C22⋊C4—1881no—
1337C22⋊C4—1881no—
1338C22⋊C4—1881no—
1339C22⋊C4—1881no—
1340C22⋊C4—1881no—
1341C22⋊C4—1881no—
1342C42—22no—
1343C42—22no—
1344C42—41no—
1345C42—41no—
1346C42—942no—
1347C42—942no—
1348C42—942no—
1349C42—942no—
1350C42—942no—
1351C42—942no—
1352C42—1881no—
1353C42—1881no—
1354C42—1881no—
1355C42—1881no—
1356C42—1881no—
1357C42—1881no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—472no—
1372C23—472no—
1373C23—472no—
1374C23—472no—
1375C23—472no—
1376C23—472no—
1377C23—472no—
1378C23—472no—
1379C23—948no—
1380C23—948no—
1381C23—948no—
1382C23—941no—
1383C23—941no—
1384C23—941no—
1385C23—941no—
1386C23—941no—
1387C23—941no—
1388C23—941no—
1389C23—941no—
1390C23—941no—
1391C23—941no—
1392C23—941no—
1393C23—941no—
1394C23—941no—
1395C23—1884no—
1396C23—1884no—
1397C23—1884no—
1398C23—1884no—
1399C23—1884no—
1400C23—1884no—
1401C23—1884no—
1402C23—1884no—
1403C23—1884no—
1404C23—1884no—
1405C23—1884no—
1406C23#41×D4712yes—
1407C23C24×D4711yescharacteristic
1408D4—44no—
1409D4—1884no—
1410D4—1884no—
1411D4—1884no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—44no—
1448C2×C4—472no—
1449C2×C4—472no—
1450C2×C4—472no—
1451C2×C4—472no—
1452C2×C4—948no—
1453C2×C4—948no—
1454C2×C4—948no—
1455C2×C4—948no—
1456C2×C4—941no—
1457C2×C4—941no—
1458C2×C4—941no—
1459C2×C4—941no—
1460C2×C4—941no—
1461C2×C4—941no—
1462C2×C4—941no—
1463C2×C4—941no—
1464C2×C4—941no—
1465C2×C4—941no—
1466C2×C4—941no—
1467C2×C4—941no—
1468C2×C4—941no—
1469C2×C4—941no—
1470C2×C4—941no—
1471C2×C4—941no—
1472C2×C4—941no—
1473C2×C4—941no—
1474C2×C4—941no—
1475C2×C4—941no—
1476C2×C4—941no—
1477C2×C4—941no—
1478C2×C4—941no—
1479C2×C4—941no—
1480C2×C4—941no—
1481C2×C4—941no—
1482C2×C4—941no—
1483C2×C4—941no—
1484C2×C4—941no—
1485C2×C4—941no—
1486C2×C4—941no—
1487C2×C4—941no—
1488C2×C4—941no—
1489C2×C4—941no—
1490C2×C4—941no—
1491C2×C4—1884no—
1492C2×C4—1884no—
1493C2×C4—1884no—
1494C2×C4—1884no—
1495C2×C4—1884no—
1496C2×C4—1884no—
1497C2×C4—1884no—
1498C2×C4—1884no—
1499C2×C4—1884no—
1500C2×C4—1884no—
1501C2×C4—1884no—
1502C2×C4—1884no—
1503C2×C4#41×D4712yes—
1504C2×C4#41×D4712yes—
1505C2×C4#41×D4712yes—
1506C2×C4#41×D4712yes—
1507C22—22no—
1508C22—22no—
1509C22—22no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—474no—
1522C22—474no—
1523C22—474no—
1524C22—474no—
1525C22—474no—
1526C22—474no—
1527C22—474no—
1528C22—942no—
1529C22—942no—
1530C22—942no—
1531C22—3768no—
1532C22—18816no—
1533C22—1881no—
1534C22—1881no—
1535C22—1881no—
1536C22—1881no—
1537C22—1881no—
1538C22—1881no—
1539C22—1881no—
1540C22—1881no—
1541C22—1881no—
1542C22—1881no—
1543C22—1881no—
1544C22C2×#41×D4711yescharacteristic
1545C22C2×#41×D4711yescharacteristic
1546C22C2×#41×D4711yescharacteristic
1547C22C2×#41×D4711yescharacteristic
1548C22C2×#41×D4711yescharacteristic
1549C22H(5,𝔽2)×D4711yescharacteristic
1550C22H(5,𝔽2)×D4711yescharacteristic
1551C4—22no—
1552C4—22no—
1553C4—22no—
1554C4—22no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C4—942no—
1565C4—942no—
1566C4—942no—
1567C4—942no—
1568C4—1881no—
1569C4—1881no—
1570C4—1881no—
1571C4—1881no—
1572C4—1881no—
1573C4—1881no—
1574C4—1881no—
1575C4—1881no—
1576C4—1881no—
1577C2—42no—
1578C2—81no—
1579C2—478no—
1580C2—3761no—
1581C2—1882no—
1582C2#529×D4711yescharacteristic
1583C2#529×D4711yescharacteristic
1584C2#538×D4711yescharacteristic
1585C2#551×D4711yescharacteristic
1586C2#553×D4711yescharacteristic
1587C2#553×D4711yescharacteristic
1588C2#555×D4711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2518C2
prime radicalC22×D4×D47C22
hypercenter#2518D47
hypocenterC47C2×#2518
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2518

Complements

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

NH ≅ G/Ntype
1. #20248053C2semidirect
2. #20248052C2semidirect
3. #20248051C2semidirect
4. #20248050C2semidirect
5. #20248049C2semidirect
6. #20248048C2semidirect
7. #20248047C2semidirect
8. #20248046C2semidirect
9. #20248045C2semidirect
10. #20248044C2semidirect
11. #20248043C2semidirect
12. #20248042C2semidirect
13. #20248041C2semidirect
14. #20248040C2semidirect
15. #20248039C2semidirect
16. #397×D47C2semidirect
17. #396×D47C2semidirect
20. #389×D47C2semidirect
21. #388×D47C2semidirect
22. #388×D47C2semidirect
23. #388×D47C2semidirect
24. #388×D47C2semidirect
25. #387×D47C2semidirect
27. #383×D47C2semidirect
28. #382×D47C2semidirect
29. C4×C22⋊C4×D47C2semidirect
30. C4×C22⋊C4×D47C2semidirect
31. C47×#2518C2semidirect
55. #15689052C22semidirect
56. #15689052C22semidirect
57. #15689051C22semidirect
58. #15689051C22semidirect
59. #15689050C22semidirect
60. #15689049C22semidirect
61. #15689048C22semidirect
62. #15689047C22semidirect
63. #15689046C22semidirect
64. #15689046C22semidirect
65. #15689046C22semidirect
66. #15689045C22semidirect
67. #15689045C22semidirect
68. #15689045C22semidirect
83. #15689022C22semidirect
84. #15689021C22semidirect
85. #15689020C22semidirect
86. #15689020C22semidirect
87. #15689019C22semidirect
88. #15689018C22semidirect
89. #15689018C22semidirect
90. #15689017C22semidirect
91. #15689017C22semidirect
92. #15689017C22semidirect
93. #15689017C22semidirect
94. #15689016C22semidirect
95. #15689016C22semidirect
96. #15689016C22semidirect
97. #15689016C22semidirect
98. #15689015C22semidirect
99. #15689015C22semidirect
100. #15689015C22semidirect
101. #15689015C22semidirect
102. #15689014C22semidirect
103. #15689014C22semidirect
104. #15689014C22semidirect
105. #15689014C22semidirect
106. #15689013C22semidirect
107. #15689013C22semidirect
108. #15689013C22semidirect
109. #15689013C22semidirect
110. #15689012C22semidirect
111. #15689012C22semidirect
112. #15689012C22semidirect
113. #15689012C22semidirect
114. #15689011C22semidirect
115. #15689011C22semidirect
116. #15689011C22semidirect
117. #15689011C22semidirect
118. #15689010C22semidirect
119. #15689009C22semidirect
120. #15689008C22semidirect
121. #15689007C22semidirect
122. #15689006C22semidirect
123. #15689005C22semidirect
124. #15689004C22semidirect
132. #15688991C22semidirect
133. #15688990C22semidirect
134. #15688990C22semidirect
135. #15688990C22semidirect
136. #15688990C22semidirect
137. #15688990C22semidirect
138. #15688990C22semidirect
139. #15688989C22semidirect
140. #15688988C22semidirect
141. #15688988C22semidirect
142. #15688987C22semidirect
143. #15688987C22semidirect
144. #15688987C22semidirect
145. #15688987C22semidirect
146. C22⋊C4×Dic47C22semidirect
147. C22⋊C4×Dic47C22semidirect
148. C22⋊C4×Dic47C22semidirect
149. C22⋊C4×Dic47C22semidirect
150. C4×(C2×D47)⋊C4C22semidirect
151. C4×(C2×D47)⋊C4C22semidirect
152. C4×(C2×D47)⋊C4C22semidirect
153. C4×(C2×D47)⋊C4C22semidirect
154. C4×C22⋊Dic47C22semidirect
155. C4×C22⋊Dic47C22semidirect
156. #15688970C22semidirect
157. #15688970C22semidirect
158. #15688970C22semidirect
159. #15688970C22semidirect
172. C47×#397C22semidirect
173. C47×#396C22semidirect
176. C47×#389C22semidirect
177. C47×#388C22semidirect
178. C47×#388C22semidirect
179. C47×#388C22semidirect
180. C47×#388C22semidirect
181. C47×#387C22semidirect
183. C47×#383C22semidirect
184. C47×#382C22semidirect
185. C4×C22⋊C4×C47C22semidirect
186. C4×C22⋊C4×C47C22semidirect
798. #2518D47direct (N × H)
825. D47#2518direct (N × H)
856. #397C2×D47semidirect
864. #396C2×D47semidirect
888. #389C2×D47semidirect
917. #388C2×D47semidirect
918. #388C2×D47semidirect
919. #388C2×D47semidirect
920. #388C2×D47semidirect
928. #387C2×D47semidirect
944. #383C2×D47semidirect
952. #382C2×D47semidirect
967. C4×C22⋊C4C2×D47semidirect
968. C4×C22⋊C4C2×D47semidirect
981. C47C2×#2518semidirect

Maximal subgroups

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

subgroupindex
#202480532
#202480522
#202480512
#202480502
#202480492
#202480482
#202480472
#202480462
#202480452
#202480442
#202480432
#202480422
#202480412
#202480402
#202480392
#397×D472
#396×D472
#394×D472
#389×D472
#388×D472
#387×D472
#386×D472
#383×D472
#382×D472
C4×C22⋊C4×D472
C47×#25182
C2×#251847