Finite Group Databasebeta

← D47×#2488 #26385204

Subgroups — D47×#2488 #26385204

Order 12032.

3114 conjugacy classes of subgroups.

The subgroup lattice has 1696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#123×D47C211yesmaximal, characteristic
2C2×C22⋊Q8×D47C211yesmaximal, characteristic, complemented
3#20247721C211yesmaximal, characteristic, complemented
4#20247720C211yesmaximal, characteristic, complemented
5#20247719C211yesmaximal, characteristic, complemented
6#20247718C211yesmaximal, characteristic, complemented
7#20247717C211yesmaximal, characteristic, complemented
8#20247716C211yesmaximal, characteristic, complemented
9#20247715C211yesmaximal, characteristic, complemented
10#20247714C211yesmaximal, characteristic, complemented
11#20247713C211yesmaximal, characteristic, complemented
12#20247712C211yesmaximal, characteristic, complemented
13#20247711C211yesmaximal, characteristic, complemented
14#20247710C211yesmaximal, characteristic, complemented
15#20247709C211yesmaximal, characteristic, complemented
16#20247708C211yesmaximal, characteristic, complemented
17#20247707C211yesmaximal, characteristic, complemented
18#400×D47C211yesmaximal, characteristic, complemented
19#400×D47C211yesmaximal, characteristic, complemented
20#397×D47C211yesmaximal, characteristic, complemented
21#393×D47C211yesmaximal, characteristic, complemented
22#391×D47C211yesmaximal, characteristic, complemented
23#388×D47C211yesmaximal, characteristic, complemented
24#388×D47C211yesmaximal, characteristic, complemented
25#386×D47C211yesmaximal, characteristic
26#386×D47C211yesmaximal, characteristic
27#382×D47C211yesmaximal, characteristic, complemented
28#381×D47C211yesmaximal, characteristic, complemented
29C4×C22⋊C4×D47C211yesmaximal, characteristic, complemented
30C2×#95×D47C211yesmaximal, characteristic, complemented
31C47×#2488C211yesmaximal, characteristic, complemented
32C22×Q8×D47C2211yescharacteristic
33C22×D4×D47C2211yescharacteristic
34C23×C4×D47C2211yescharacteristic
35C23×C4×D47C2211yescharacteristic
36C23×C4×D47C2211yescharacteristic
37C2×#13094009C2211yescharacteristic
38C2×#13094009C2211yescharacteristic
39C2×#13094008C2211yescharacteristic
40C2×#13094007C2211yescharacteristic
41C2×#13094006C2211yescharacteristic
42C2×#13094006C2211yescharacteristic
43C2×#13094005C2211yescharacteristic
44#123×D47—28no—
45C2×#13094004C2211yescharacteristic, complemented
46C2×#13094003C2211yescharacteristic, complemented
47C2×#13094002C2211yescharacteristic, complemented
48C2×#13094002C2211yescharacteristic, complemented
49C2×#13094001C2211yescharacteristic, complemented
50C2×#13094001C2211yescharacteristic, complemented
51C2×#13094000C2211yescharacteristic, complemented
52C22⋊Q8×D47—28no—
53C2×C4⋊C4×D47C2211yescharacteristic
54C2×C4⋊C4×D47C2211yescharacteristic
55C2×C4⋊C4×D47C2211yescharacteristic
56C2×C4⋊C4×D47C2211yescharacteristic
57C2×C4⋊C4×D47C2211yescharacteristic
58C2×C22⋊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×C42×D47C2211yescharacteristic
68C2×C42×D47C2211yescharacteristic
69#15689065C2211yescharacteristic, complemented
70#15689065C2211yescharacteristic, complemented
71#15689065C2211yescharacteristic, complemented
72#15689065C2211yescharacteristic, complemented
73#15689064C2211yescharacteristic, complemented
74#15689064C2211yescharacteristic, complemented
75#15689064C2211yescharacteristic, complemented
76#15689064C2211yescharacteristic, complemented
77#15689063C2211yescharacteristic, complemented
78#15689063C2211yescharacteristic, complemented
79#15689062C2211yescharacteristic, complemented
80#15689062C2211yescharacteristic, complemented
81#15689061C2211yescharacteristic, complemented
82#15689061C2211yescharacteristic, complemented
83#15689052C2211yescharacteristic, complemented
84#15689052C2211yescharacteristic, complemented
85#15689051C2211yescharacteristic, complemented
86#15689051C2211yescharacteristic, complemented
87#15689050C2211yescharacteristic, complemented
88#15689049C2211yescharacteristic, complemented
89#15689048C2211yescharacteristic, complemented
90#15689036C2211yescharacteristic, complemented
91#15689036C2211yescharacteristic, complemented
92#15689036C2211yescharacteristic, complemented
93#15689035C2211yescharacteristic, complemented
94#15689035C2211yescharacteristic, complemented
95#15689035C2211yescharacteristic, complemented
96#15689034C2211yescharacteristic, complemented
97#15689030C2211yescharacteristic, complemented
98#15689029C2211yescharacteristic, complemented
99#15689028C2211yescharacteristic, complemented
100#15689027C2211yescharacteristic, complemented
101#15689027C2211yescharacteristic, complemented
102#15689027C2211yescharacteristic, complemented
103#15689027C2211yescharacteristic, complemented
104#15689017C2211yescharacteristic, complemented
105#15689017C2211yescharacteristic, complemented
106#15689016C2211yescharacteristic, complemented
107#15689016C2211yescharacteristic, complemented
108#15689015C2211yescharacteristic, complemented
109#15689015C2211yescharacteristic, complemented
110#15689014C2211yescharacteristic, complemented
111#15689014C2211yescharacteristic, complemented
112#15689013C2211yescharacteristic, complemented
113#15689013C2211yescharacteristic, complemented
114#15689012C2211yescharacteristic, complemented
115#15689012C2211yescharacteristic, complemented
116#15689011C2211yescharacteristic, complemented
117#15689011C2211yescharacteristic, complemented
118#15689003C2211yescharacteristic
119#15689003C2211yescharacteristic
120#15689002C2211yescharacteristic
121#15689002C2211yescharacteristic
122#15689001C2211yescharacteristic
123#15689001C2211yescharacteristic
124#15689001C2211yescharacteristic
125#15689001C2211yescharacteristic
126#15689000C2211yescharacteristic
127#15689000C2211yescharacteristic
128#15688999C2211yescharacteristic
129#15688999C2211yescharacteristic
130#15688999C2211yescharacteristic
131#15688999C2211yescharacteristic
132#15688989C2211yescharacteristic, complemented
133#15688988C2211yescharacteristic, complemented
134#15688988C2211yescharacteristic, complemented
135#15688987C2211yescharacteristic, complemented
136#15688987C2211yescharacteristic, complemented
137#15688987C2211yescharacteristic, complemented
138#15688987C2211yescharacteristic, complemented
139#15688986C2211yescharacteristic, complemented
140#15688985C2211yescharacteristic, complemented
141#15688985C2211yescharacteristic, complemented
142#15688985C2211yescharacteristic, complemented
143#15688985C2211yescharacteristic, complemented
144#15688984C2211yescharacteristic, complemented
145#15688984C2211yescharacteristic, complemented
146C22⋊C4×Dic47C2211yescharacteristic, complemented
147C22⋊C4×Dic47C2211yescharacteristic, complemented
148C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
149C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
150C4×C22⋊Dic47C2211yescharacteristic, complemented
151#15688970C2211yescharacteristic, complemented
152#15688970C2211yescharacteristic, complemented
153C2×C47⋊#95C2211yescharacteristic, complemented
154C2×C47⋊#95C2211yescharacteristic, complemented
155C2×C47⋊#95C2211yescharacteristic, complemented
156#95×D47C2211yescharacteristic
157#95×D47C2211yescharacteristic
158#95×D47C2211yescharacteristic
159#95×D47C2211yescharacteristic
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, complemented
171#95×D47C2211yescharacteristic, complemented
172#95×D47C2211yescharacteristic, complemented
173#95×D47C2211yescharacteristic, complemented
174C2×#123×C47C2211yescharacteristic
175C2×C22⋊Q8×C47C2211yescharacteristic, complemented
176C47×#400C2211yescharacteristic, complemented
177C47×#400C2211yescharacteristic, complemented
178C47×#397C2211yescharacteristic, complemented
179C47×#393C2211yescharacteristic, complemented
180C47×#391C2211yescharacteristic, complemented
181C47×#388C2211yescharacteristic, complemented
182C47×#388C2211yescharacteristic, complemented
183C47×#386C2211yescharacteristic
184C47×#386C2211yescharacteristic
185C47×#382C2211yescharacteristic, complemented
186C47×#381C2211yescharacteristic, complemented
187C4×C22⋊C4×C47C2211yescharacteristic, complemented
188C2×#95×C47C2211yescharacteristic, complemented
189C24×D47C2311yescharacteristic
190C24×D47C2311yescharacteristic
191C22×Dic94C2311yescharacteristic
192C22×Dic94C2311yescharacteristic
193C22×Dic94C2311yescharacteristic
194C2×Q8×D47—24no—
195C2×Q8×D47—24no—
196C2×Q8×D47—42no—
197C22×D188C2311yescharacteristic
198C22×C22⋊D47C2311yescharacteristic
199C22×C22⋊D47C2311yescharacteristic
200C2×D4×D47—24no—
201C2×D4×D47—24no—
202C2×D4×D47—24no—
203C23×Dic47C2311yescharacteristic
204C23×Dic47C2311yescharacteristic
205C23×Dic47C2311yescharacteristic
206C22×C4×D47—24no—
207C22×C4×D47—24no—
208C22×C4×D47—24no—
209C22×C4×D47—24no—
210C22×C4×D47—24no—
211C22×C4×D47—24no—
212C22×C4×D47—24no—
213C22×C4×D47—42no—
214C22×C4×D47—42no—
215C22×C4×D47C2311yescharacteristic
216C22×C4×D47C2311yescharacteristic
217C22×C4×D47C2311yescharacteristic
218C22×C4×D47C2311yescharacteristic
219C22×C4×D47C2311yescharacteristic
220C22×C4×D47C2311yescharacteristic
221C22×C4×D47C2311yescharacteristic
222C22×C4×D47C2311yescharacteristic
223C22×C4×D47C2311yescharacteristic
224C22×C4×D47C2311yescharacteristic
225C22×C4×D47C2311yescharacteristic
226C22×C4×D47C2311yescharacteristic
227C22×C4×D47C2311yescharacteristic
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—
241#13094004—24no—
242#13094003—24no—
243#13094002—24no—
244#13094002—24no—
245#13094001—24no—
246#13094001—24no—
247#13094000—24no—
248C2×C4⋊Dic47C2311yescharacteristic
249C2×C4⋊Dic47C2311yescharacteristic
250C2×C4⋊Dic47C2311yescharacteristic
251C2×C4⋊Dic47C2311yescharacteristic
252C2×C4⋊Dic47C2311yescharacteristic
253C2×Dic47⋊C4C2311yescharacteristic
254C2×Dic47⋊C4C2311yescharacteristic
255C2×Dic47⋊C4C2311yescharacteristic
256C2×Dic47⋊C4C2311yescharacteristic
257C2×Dic47⋊C4C2311yescharacteristic
258C2×Dic47⋊C4C2311yescharacteristic
259C2×Dic47⋊C4C2311yescharacteristic
260C2×Dic47⋊C4C2311yescharacteristic
261C2×Dic47⋊C4C2311yescharacteristic
262C2×Dic47⋊C4C2311yescharacteristic
263C4⋊C4×D47—24no—
264C4⋊C4×D47—24no—
265C4⋊C4×D47—24no—
266C4⋊C4×D47—24no—
267C4⋊C4×D47—24no—
268C2×C22⋊Dic47C2311yescharacteristic
269C2×C22⋊Dic47C2311yescharacteristic
270C2×C22⋊Dic47C2311yescharacteristic
271C2×C22⋊Dic47C2311yescharacteristic
272C2×C22⋊Dic47C2311yescharacteristic
273C2×C22⋊Dic47C2311yescharacteristic
274C2×C22⋊Dic47C2311yescharacteristic
275C2×C22⋊Dic47C2311yescharacteristic
276C2×C22⋊Dic47C2311yescharacteristic
277C2×(C2×D47)⋊C4C2311yescharacteristic
278C2×(C2×D47)⋊C4C2311yescharacteristic
279C2×(C2×D47)⋊C4C2311yescharacteristic
280C2×(C2×D47)⋊C4C2311yescharacteristic
281C2×(C2×D47)⋊C4C2311yescharacteristic
282C2×(C2×D47)⋊C4C2311yescharacteristic
283C2×(C2×D47)⋊C4C2311yescharacteristic
284C2×(C2×D47)⋊C4C2311yescharacteristic
285C2×(C2×D47)⋊C4C2311yescharacteristic
286C2×(C2×D47)⋊C4C2311yescharacteristic
287C2×(C2×D47)⋊C4C2311yescharacteristic
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
295C22⋊C4×D47—24no—
296C22⋊C4×D47—24no—
297C22⋊C4×D47—24no—
298C22⋊C4×D47—24no—
299C22⋊C4×D47—24no—
300C22⋊C4×D47—24no—
301C22⋊C4×D47—42no—
302C22⋊C4×D47—42no—
303C22⋊C4×D47D418yes—
304C2×C4×Dic47C2311yescharacteristic
305C2×C4×Dic47C2311yescharacteristic
306C2×C4×Dic47C2311yescharacteristic
307C2×C4×Dic47C2311yescharacteristic
308C2×C4×Dic47C2311yescharacteristic
309C2×C4×Dic47C2311yescharacteristic
310C42×D47—24no—
311C42×D47—42no—
312C47⋊#95C2311yescharacteristic
313C47⋊#95C2311yescharacteristic
314C47⋊#95C2311yescharacteristic
315C47⋊#95C2311yescharacteristic
316C47⋊#95C2311yescharacteristic
317C47⋊#95C2311yescharacteristic
318C47⋊#95C2311yescharacteristic
319C47⋊#95C2311yescharacteristic
320C47⋊#95C2311yescharacteristic
321C47⋊#95C2311yescharacteristic
322C47⋊#95C2311yescharacteristic
323C47⋊#95C2311yescharacteristic
324C47⋊#95C2311yescharacteristic
325C47⋊#95C2311yescharacteristic
326C47⋊#95C2311yescharacteristic
327C47⋊#95C2311yescharacteristic
328C47⋊#95C2311yescharacteristic
329C47⋊#95C2311yescharacteristic
330C47⋊#95C2311yescharacteristic
331C47⋊#95C2311yescharacteristic
332C47⋊#95C2311yescharacteristic
333C47⋊#95C2311yescharacteristic
334C47⋊#95C2311yescharacteristic
335C47⋊#95C2311yescharacteristic
336C47⋊#95C2311yescharacteristic
337C47⋊#95C2311yescharacteristic
338C47⋊#95C2311yescharacteristic
339C47⋊#95C2311yescharacteristic
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
354C22×Q8×C47C2311yescharacteristic
355C22×D4×C47C2311yescharacteristic
356C23×C4×C47C2311yescharacteristic
357C23×C4×C47C2311yescharacteristic
358C23×C4×C47C2311yescharacteristic
359#123×C47—24no—
360C22⋊Q8×C47—24no—
361C2×C4⋊C4×C47C2311yescharacteristic
362C2×C4⋊C4×C47C2311yescharacteristic
363C2×C4⋊C4×C47C2311yescharacteristic
364C2×C4⋊C4×C47C2311yescharacteristic
365C2×C4⋊C4×C47C2311yescharacteristic
366C2×C22⋊C4×C47C2311yescharacteristic
367C2×C22⋊C4×C47C2311yescharacteristic
368C2×C22⋊C4×C47C2311yescharacteristic
369C2×C22⋊C4×C47C2311yescharacteristic
370C2×C22⋊C4×C47C2311yescharacteristic
371C2×C22⋊C4×C47C2311yescharacteristic
372C2×C22⋊C4×C47C2311yescharacteristic
373C2×C22⋊C4×C47C2311yescharacteristic
374C2×C22⋊C4×C47C2311yescharacteristic
375C2×C42×C47C2311yescharacteristic
376C2×C42×C47C2311yescharacteristic
377#95×C47C2311yescharacteristic
378#95×C47C2311yescharacteristic
379#95×C47C2311yescharacteristic
380#95×C47C2311yescharacteristic
381#95×C47C2311yescharacteristic
382#95×C47C2311yescharacteristic
383#95×C47C2311yescharacteristic
384#95×C47C2311yescharacteristic
385#95×C47C2311yescharacteristic
386#95×C47C2311yescharacteristic
387#95×C47C2311yescharacteristic
388#95×C47C2311yescharacteristic
389#95×C47C2311yescharacteristic
390#95×C47C2311yescharacteristic
391C24×C47C2411yescharacteristic
392C24×C47C2411yescharacteristic
393C23×D47—22no—
394C23×D47—22no—
395C23×D47—22no—
396C23×D47—22no—
397C23×D47—22no—
398C23×D47—22no—
399C23×D47—22no—
400C23×D47—22no—
401C23×D47—22no—
402C23×D47—22no—
403C23×D47—22no—
404C23×D47C2×D414yes—
405C23×D47#4114yes—
406C23×D47#4114yes—
407C23×D47C2411yescharacteristic
408C23×D47C2411yescharacteristic
409C23×D47C2411yescharacteristic
410C2×Q8×C47—22no—
411C2×Q8×C47—22no—
412C2×Q8×C47—41no—
413C2×D4×C47—22no—
414C2×D4×C47—22no—
415C2×D4×C47—22no—
416C22×C4×C47—22no—
417C22×C4×C47—22no—
418C22×C4×C47—22no—
419C22×C4×C47—22no—
420C22×C4×C47—22no—
421C22×C4×C47—22no—
422C22×C4×C47—22no—
423C22×C4×C47—41no—
424C22×C4×C47—41no—
425C22×C4×C47C2411yescharacteristic
426C22×C4×C47C2411yescharacteristic
427C22×C4×C47C2411yescharacteristic
428C22×C4×C47C2411yescharacteristic
429C22×C4×C47C2411yescharacteristic
430C22×C4×C47C2411yescharacteristic
431C22×C4×C47C2411yescharacteristic
432C22×C4×C47C2411yescharacteristic
433C22×C4×C47C2411yescharacteristic
434C22×C4×C47C2411yescharacteristic
435C22×C4×C47C2411yescharacteristic
436C22×C4×C47C2411yescharacteristic
437C22×C4×C47C2411yescharacteristic
438C2×C22⋊D47—22no—
439C2×C22⋊D47—22no—
440C2×C22⋊D47—22no—
441C2×C22⋊D47—22no—
442C2×C22⋊D47—22no—
443C2×C22⋊D47—22no—
444C22×Dic47—22no—
445C22×Dic47—22no—
446C22×Dic47—22no—
447C22×Dic47—22no—
448C22×Dic47—22no—
449C22×Dic47—22no—
450C22×Dic47—22no—
451C22×Dic47—41no—
452C22×Dic47—41no—
453C22×Dic47C2411yescharacteristic
454C22×Dic47C2411yescharacteristic
455C22×Dic47C2411yescharacteristic
456C22×Dic47C2411yescharacteristic
457C22×Dic47C2411yescharacteristic
458C22×Dic47C2411yescharacteristic
459C22×Dic47C2411yescharacteristic
460C22×Dic47C2411yescharacteristic
461C22×Dic47C2411yescharacteristic
462C22×Dic47C2411yescharacteristic
463C22×Dic47C2411yescharacteristic
464C22×Dic47C2411yescharacteristic
465C22×Dic47C2411yescharacteristic
466Q8×D47—416no—
467D4×D47—416no—
468C2×D188—22no—
469C2×D188—22no—
470C2×D188—22no—
471C2×C4×D47—22no—
472C2×C4×D47—22no—
473C2×C4×D47—22no—
474C2×C4×D47—22no—
475C2×C4×D47—22no—
476C2×C4×D47—22no—
477C2×C4×D47—22no—
478C2×C4×D47—22no—
479C2×C4×D47—22no—
480C2×C4×D47—22no—
481C2×C4×D47—22no—
482C2×C4×D47—22no—
483C2×C4×D47—22no—
484C2×C4×D47—22no—
485C2×C4×D47—22no—
486C2×C4×D47—22no—
487C2×C4×D47—22no—
488C2×C4×D47—22no—
489C2×C4×D47—22no—
490C2×C4×D47—22no—
491C2×C4×D47—22no—
492C2×C4×D47—22no—
493C2×C4×D47—22no—
494C2×C4×D47—22no—
495C2×C4×D47—22no—
496C2×C4×D47—22no—
497C2×C4×D47—22no—
498C2×C4×D47—22no—
499C2×C4×D47—22no—
500C2×C4×D47—22no—
501C2×C4×D47—22no—
502C2×C4×D47—22no—
503C2×C4×D47—22no—
504C2×C4×D47—22no—
505C2×C4×D47—22no—
506C2×C4×D47—22no—
507C2×C4×D47—22no—
508C2×C4×D47—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—416no—
521C2×C4×D47—416no—
522C2×C4×D47—41no—
523C2×C4×D47—41no—
524C2×C4×D47—41no—
525C2×C4×D47—41no—
526C2×C4×D47—416no—
527C2×C4×D47C2×D414yes—
528C2×C4×D47C2×D414yes—
529C2×C4×D47#4114yes—
530C2×C4×D47#4114yes—
531C2×Dic94—22no—
532C2×Dic94—22no—
533C2×Dic94—22no—
534C2×Dic94—22no—
535C2×Dic94—22no—
536C2×Dic94—22no—
537C2×Dic94—41no—
538C2×Dic94—41no—
539C2×Dic94—41no—
540C4⋊C4×C47—22no—
541C4⋊C4×C47—22no—
542C4⋊C4×C47—22no—
543C4⋊C4×C47—22no—
544C4⋊C4×C47—22no—
545C22⋊C4×C47—22no—
546C22⋊C4×C47—22no—
547C22⋊C4×C47—22no—
548C22⋊C4×C47—22no—
549C22⋊C4×C47—22no—
550C22⋊C4×C47—22no—
551C22⋊C4×C47—41no—
552C22⋊C4×C47—41no—
553C22⋊C4×C47C2×D414yes—
554C42×C47—22no—
555C42×C47—41no—
556C22⋊Dic47—22no—
557C22⋊Dic47—22no—
558C22⋊Dic47—22no—
559C22⋊Dic47—22no—
560C22⋊Dic47—22no—
561C22⋊Dic47—22no—
562C22⋊Dic47—41no—
563C22⋊Dic47—41no—
564C22⋊Dic47C2×D414yes—
565(C2×D47)⋊C4—22no—
566(C2×D47)⋊C4—22no—
567(C2×D47)⋊C4—22no—
568(C2×D47)⋊C4—22no—
569(C2×D47)⋊C4—22no—
570(C2×D47)⋊C4—22no—
571(C2×D47)⋊C4—22no—
572(C2×D47)⋊C4—22no—
573(C2×D47)⋊C4—22no—
574(C2×D47)⋊C4—22no—
575(C2×D47)⋊C4—22no—
576(C2×D47)⋊C4—22no—
577(C2×D47)⋊C4—41no—
578(C2×D47)⋊C4—41no—
579(C2×D47)⋊C4—41no—
580(C2×D47)⋊C4—41no—
581(C2×D47)⋊C4C2×D414yes—
582(C2×D47)⋊C4C2×D414yes—
583C4⋊Dic47—22no—
584C4⋊Dic47—22no—
585C4⋊Dic47—22no—
586C4⋊Dic47—22no—
587C4⋊Dic47—22no—
588Dic47⋊C4—22no—
589Dic47⋊C4—22no—
590Dic47⋊C4—22no—
591Dic47⋊C4—22no—
592Dic47⋊C4—22no—
593Dic47⋊C4—22no—
594Dic47⋊C4—22no—
595Dic47⋊C4—22no—
596Dic47⋊C4—22no—
597Dic47⋊C4—22no—
598C4×Dic47—22no—
599C4×Dic47—22no—
600C4×Dic47—22no—
601C4×Dic47—41no—
602C4×Dic47—41no—
603C4×Dic47—41no—
604C23×C47—21no—
605C23×C47—21no—
606C23×C47—21no—
607C23×C47—21no—
608C23×C47—21no—
609C23×C47—21no—
610C23×C47—21no—
611C23×C47—21no—
612C23×C47—21no—
613C23×C47—21no—
614C23×C47—21no—
615C23×C47C22×D412yes—
616C23×C47C2×#4112yes—
617C23×C47C2×#4112yes—
618C23×C47C2511yescharacteristic
619C22×D47—21no—
620C22×D47—21no—
621C22×D47—21no—
622C22×D47—21no—
623C22×D47—28no—
624C22×D47—28no—
625C22×D47—28no—
626C22×D47—28no—
627C22×D47—28no—
628C22×D47—28no—
629C22×D47—21no—
630C22×D47—21no—
631C22×D47—21no—
632C22×D47—21no—
633C22×D47—21no—
634C22×D47—21no—
635C22×D47—21no—
636C22×D47—44no—
637C22×D47—44no—
638C22×D47—44no—
639C22×D47—44no—
640C22×D47—44no—
641C22×D47—44no—
642C22×D47—44no—
643C22×D47#124116yes—
644C22×D47C22×D412yes—
645C22×D47C22×D412yes—
646C22×D47C2×#4112yes—
647C22×D47C2×#4112yes—
648C22×D47C2×#4112yes—
649C22×D47C2×#4112yes—
650C22×D47C2×#4112yes—
651C22×D47C2×#4112yes—
652C22×D47H(5,𝔽2)12yes—
653C22×D472−1+412yes—
654Q8×C47—44no—
655D4×C47—44no—
656C2×C4×C47—21no—
657C2×C4×C47—21no—
658C2×C4×C47—21no—
659C2×C4×C47—21no—
660C2×C4×C47—21no—
661C2×C4×C47—21no—
662C2×C4×C47—21no—
663C2×C4×C47—21no—
664C2×C4×C47—21no—
665C2×C4×C47—21no—
666C2×C4×C47—21no—
667C2×C4×C47—21no—
668C2×C4×C47—21no—
669C2×C4×C47—21no—
670C2×C4×C47—21no—
671C2×C4×C47—21no—
672C2×C4×C47—21no—
673C2×C4×C47—21no—
674C2×C4×C47—21no—
675C2×C4×C47—21no—
676C2×C4×C47—21no—
677C2×C4×C47—21no—
678C2×C4×C47—21no—
679C2×C4×C47—21no—
680C2×C4×C47—21no—
681C2×C4×C47—21no—
682C2×C4×C47—21no—
683C2×C4×C47—21no—
684C2×C4×C47—21no—
685C2×C4×C47—21no—
686C2×C4×C47—21no—
687C2×C4×C47—21no—
688C2×C4×C47—21no—
689C2×C4×C47—21no—
690C2×C4×C47—21no—
691C2×C4×C47—44no—
692C2×C4×C47—44no—
693C2×C4×C47—44no—
694C2×C4×C47C22×D412yes—
695C2×C4×C47C22×D412yes—
696C2×C4×C47C2×#4112yes—
697C2×C4×C47C2×#4112yes—
698C22⋊D47—44no—
699C22⋊D47—44no—
700C2×Dic47—21no—
701C2×Dic47—21no—
702C2×Dic47—21no—
703C2×Dic47—21no—
704C2×Dic47—21no—
705C2×Dic47—21no—
706C2×Dic47—21no—
707C2×Dic47—21no—
708C2×Dic47—21no—
709C2×Dic47—21no—
710C2×Dic47—21no—
711C2×Dic47—21no—
712C2×Dic47—21no—
713C2×Dic47—21no—
714C2×Dic47—21no—
715C2×Dic47—21no—
716C2×Dic47—21no—
717C2×Dic47—21no—
718C2×Dic47—21no—
719C2×Dic47—21no—
720C2×Dic47—21no—
721C2×Dic47—21no—
722C2×Dic47—21no—
723C2×Dic47—21no—
724C2×Dic47—21no—
725C2×Dic47—21no—
726C2×Dic47—21no—
727C2×Dic47—21no—
728C2×Dic47—21no—
729C2×Dic47—21no—
730C2×Dic47—21no—
731C2×Dic47—21no—
732C2×Dic47—21no—
733C2×Dic47—21no—
734C2×Dic47—21no—
735C2×Dic47—44no—
736C2×Dic47—44no—
737C2×Dic47—44no—
738C2×Dic47C22×D412yes—
739C2×Dic47C22×D412yes—
740C2×Dic47C2×#4112yes—
741C2×Dic47C2×#4112yes—
742D188—44no—
743C4×D47—28no—
744C4×D47—28no—
745C4×D47—28no—
746C4×D47—28no—
747C4×D47—44no—
748C4×D47—44no—
749C4×D47—44no—
750C4×D47—44no—
751C4×D47—44no—
752C4×D47—44no—
753C4×D47—44no—
754C4×D47—44no—
755C4×D47—44no—
756C4×D47—44no—
757C4×D47—44no—
758C4×D47—44no—
759C4×D47—44no—
760C4×D47—44no—
761C4×D47—44no—
762Dic94—44no—
763Dic94—44no—
764Dic94—44no—
765C2×#2488—471nomaximal, Sylow
766C22×C47—22no—
767C22×C47—22no—
768C22×C47—22no—
769C22×C47—22no—
770C22×C47—22no—
771C22×C47—22no—
772C22×C47—41no—
773C22×C47—41no—
774C22×C47—41no—
775C22×C47—41no—
776C22×C47—41no—
777C22×C47—41no—
778C22×C47—41no—
779C22×C47C2×#12414yes—
780C22×C47C23×D411yescharacteristic
781C22×C47C22×#4111yescharacteristic
782C22×C47C22×#4111yescharacteristic
783C22×C47C22×#4111yescharacteristic
784C22×C47C22×#4111yescharacteristic
785C22×C47C2×H(5,𝔽2)11yescharacteristic
786C22×C47C2×2−1+411yescharacteristic
787C2×D47—22no—
788C2×D47—22no—
789C2×D47—22no—
790C2×D47—22no—
791C2×D47—22no—
792C2×D47—22no—
793C2×D47—232no—
794C2×D47—41no—
795C2×D47—41no—
796C2×D47—41no—
797C2×D47—41no—
798C2×D47—41no—
799C2×D47—41no—
800C2×D47—41no—
801C2×D47—88no—
802C2×D47C2×#12414yes—
803C2×D47C2×#12414yes—
804C2×D47#52914yes—
805C2×D47#53914yes—
806C2×D47#54614yes—
807C2×D47#54714yes—
808C2×D47#55114yes—
809C2×D47#55214yes—
810C4×C47—22no—
811C4×C47—22no—
812C4×C47—22no—
813C4×C47—22no—
814C4×C47—41no—
815C4×C47—41no—
816C4×C47—41no—
817C4×C47—41no—
818C4×C47—41no—
819C4×C47—41no—
820C4×C47—41no—
821C4×C47—41no—
822C4×C47—41no—
823Dic47—22no—
824Dic47—22no—
825Dic47—22no—
826Dic47—22no—
827Dic47—41no—
828Dic47—41no—
829Dic47—41no—
830Dic47—41no—
831Dic47—41no—
832Dic47—41no—
833Dic47—41no—
834Dic47—41no—
835Dic47—41no—
836C22×#123—471no—
837C22×C22⋊Q8—471no—
838#2488—471no—
839#2488—471no—
840#2488—471no—
841#2488—471no—
842#2488—471no—
843#2488—471no—
844#2488—471no—
845#2488—471no—
846#2488—471no—
847#2488—471no—
848#2488—471no—
849#2488—471no—
850#2488—471no—
851#2488—471no—
852#2488—471no—
853#2488D4711yescharacteristic, direct product factor
854C2×#400—471no—
855C2×#400—471no—
856C2×#397—471no—
857C2×#393—471no—
858C2×#391—471no—
859C2×#388—471no—
860C2×#388—471no—
861C2×#386—471no—
862C2×#386—471no—
863C2×#382—471no—
864C2×#381—471no—
865C2×C4×C22⋊C4—471no—
866C22×#95—471no—
867C2×C47—24no—
868C2×C47—81no—
869C2×C47C22×#12411yescharacteristic
870C2×C47C2×#52911yescharacteristic
871C2×C47C2×#53911yescharacteristic
872C2×C47C2×#54611yescharacteristic
873C2×C47C2×#54711yescharacteristic
874C2×C47C2×#55111yescharacteristic
875C2×C47C2×#55211yescharacteristic
876D47—24no—
877D47—81no—
878D47#248818yesdirect product factor
879C23×Q8—471no—
880C23×D4—471no—
881C24×C4—471no—
882C24×C4—471no—
883C24×C4—471no—
884C2×#123—471no—
885C2×#123—471no—
886C2×#123—471no—
887C2×#123—471no—
888C2×#123—471no—
889C2×#123—471no—
890C2×#123—471no—
891C2×#123—948no—
892C2×#123C2×D4711yescharacteristic
893C2×C22⋊Q8—471no—
894C2×C22⋊Q8—471no—
895C2×C22⋊Q8—471no—
896C2×C22⋊Q8—471no—
897C2×C22⋊Q8—471no—
898C2×C22⋊Q8—471no—
899C2×C22⋊Q8—471no—
900C2×C22⋊Q8—948no—
901C2×C22⋊Q8C2×D4711yescharacteristic, complemented
902C22×C4⋊C4—471no—
903C22×C4⋊C4—471no—
904C22×C4⋊C4—471no—
905C22×C4⋊C4—471no—
906C22×C4⋊C4—471no—
907C22×C22⋊C4—471no—
908C22×C22⋊C4—471no—
909C22×C22⋊C4—471no—
910C22×C22⋊C4—471no—
911C22×C22⋊C4—471no—
912C22×C22⋊C4—471no—
913C22×C22⋊C4—471no—
914C22×C22⋊C4—471no—
915C22×C22⋊C4—471no—
916C22×C42—471no—
917C22×C42—471no—
918#400—471no—
919#400—471no—
920#400—471no—
921#400—471no—
922#400—471no—
923#400—471no—
924#400—471no—
925#400—471no—
926#400—471no—
927#400—471no—
928#400—471no—
929#400—471no—
930#400—471no—
931#400—471no—
932#400C2×D4711yescharacteristic, complemented
933#400C2×D4711yescharacteristic, complemented
934#397—471no—
935#397—471no—
936#397—471no—
937#397—471no—
938#397—471no—
939#397—471no—
940#397—471no—
941#397C2×D4711yescharacteristic, complemented
942#393—471no—
943#393—471no—
944#393—471no—
945#393—471no—
946#393—471no—
947#393—471no—
948#393—471no—
949#393C2×D4711yescharacteristic, complemented
950#391—471no—
951#391—471no—
952#391—471no—
953#391—471no—
954#391—471no—
955#391—471no—
956#391—471no—
957#391C2×D4711yescharacteristic, complemented
958#388—471no—
959#388—471no—
960#388—471no—
961#388—471no—
962#388—471no—
963#388—471no—
964#388—471no—
965#388—471no—
966#388—471no—
967#388—471no—
968#388—471no—
969#388—471no—
970#388—471no—
971#388—471no—
972#388C2×D4711yescharacteristic, complemented
973#388C2×D4711yescharacteristic, complemented
974#386—471no—
975#386—471no—
976#386—471no—
977#386—471no—
978#386—471no—
979#386—471no—
980#386—471no—
981#386—471no—
982#386—471no—
983#386—471no—
984#386—471no—
985#386—471no—
986#386—471no—
987#386—471no—
988#386C2×D4711yescharacteristic
989#386C2×D4711yescharacteristic
990#382—471no—
991#382—471no—
992#382—471no—
993#382—471no—
994#382—471no—
995#382—471no—
996#382—471no—
997#382C2×D4711yescharacteristic, complemented
998#381—471no—
999#381—471no—
1000#381—471no—
1001#381—471no—
1002#381—471no—
1003#381—471no—
1004#381—471no—
1005#381C2×D4711yescharacteristic, complemented
1006C4×C22⋊C4—471no—
1007C4×C22⋊C4—471no—
1008C4×C22⋊C4—471no—
1009C4×C22⋊C4—471no—
1010C4×C22⋊C4—471no—
1011C4×C22⋊C4—471no—
1012C4×C22⋊C4—471no—
1013C4×C22⋊C4C2×D4711yescharacteristic, complemented
1014C2×#95—471no—
1015C2×#95—471no—
1016C2×#95—471no—
1017C2×#95—471no—
1018C2×#95—471no—
1019C2×#95—471no—
1020C2×#95—471no—
1021C2×#95—471no—
1022C2×#95—471no—
1023C2×#95—471no—
1024C2×#95—471no—
1025C2×#95—471no—
1026C2×#95—471no—
1027C2×#95—471no—
1028C2×#95—471no—
1029C2×#95—471no—
1030C2×#95—471no—
1031C2×#95—471no—
1032C2×#95—471no—
1033C2×#95—471no—
1034C2×#95—471no—
1035C2×#95C2×D4711yescharacteristic, complemented
1036C47C2×#248811yescharacteristic, complemented, Sylow
1037C25—471no—
1038C25—471no—
1039C22×Q8—471no—
1040C22×Q8—471no—
1041C22×Q8—471no—
1042C22×Q8—944no—
1043C22×Q8—944no—
1044C22×Q8—1882no—
1045C22×Q8C22×D4711yescharacteristic
1046C22×D4—471no—
1047C22×D4—471no—
1048C22×D4—471no—
1049C22×D4—944no—
1050C22×D4—944no—
1051C22×D4—944no—
1052C22×D4C22×D4711yescharacteristic
1053C23×C4—471no—
1054C23×C4—471no—
1055C23×C4—471no—
1056C23×C4—471no—
1057C23×C4—471no—
1058C23×C4—471no—
1059C23×C4—471no—
1060C23×C4—471no—
1061C23×C4—471no—
1062C23×C4—471no—
1063C23×C4—471no—
1064C23×C4—471no—
1065C23×C4—471no—
1066C23×C4—471no—
1067C23×C4—471no—
1068C23×C4—471no—
1069C23×C4—471no—
1070C23×C4—471no—
1071C23×C4—471no—
1072C23×C4—471no—
1073C23×C4—471no—
1074C23×C4—471no—
1075C23×C4—944no—
1076C23×C4—944no—
1077C23×C4—944no—
1078C23×C4—944no—
1079C23×C4—944no—
1080C23×C4—944no—
1081C23×C4—944no—
1082C23×C4—1882no—
1083C23×C4—1882no—
1084C23×C4C22×D4711yescharacteristic
1085C23×C4C22×D4711yescharacteristic
1086C23×C4C22×D4711yescharacteristic
1087#123—24no—
1088#123—944no—
1089#123—944no—
1090#123—944no—
1091#123—944no—
1092#123—944no—
1093#123—944no—
1094#123—944no—
1095C22⋊Q8—24no—
1096C22⋊Q8—944no—
1097C22⋊Q8—944no—
1098C22⋊Q8—944no—
1099C22⋊Q8—944no—
1100C22⋊Q8—944no—
1101C22⋊Q8—944no—
1102C22⋊Q8—944no—
1103C2×C4⋊C4—471no—
1104C2×C4⋊C4—471no—
1105C2×C4⋊C4—471no—
1106C2×C4⋊C4—471no—
1107C2×C4⋊C4—471no—
1108C2×C4⋊C4—471no—
1109C2×C4⋊C4—471no—
1110C2×C4⋊C4—471no—
1111C2×C4⋊C4—471no—
1112C2×C4⋊C4—471no—
1113C2×C4⋊C4—471no—
1114C2×C4⋊C4—471no—
1115C2×C4⋊C4—471no—
1116C2×C4⋊C4—471no—
1117C2×C4⋊C4—471no—
1118C2×C4⋊C4—944no—
1119C2×C4⋊C4—944no—
1120C2×C4⋊C4—944no—
1121C2×C4⋊C4—944no—
1122C2×C4⋊C4—944no—
1123C2×C4⋊C4C22×D4711yescharacteristic
1124C2×C4⋊C4C22×D4711yescharacteristic
1125C2×C4⋊C4C22×D4711yescharacteristic
1126C2×C4⋊C4C22×D4711yescharacteristic
1127C2×C4⋊C4C22×D4711yescharacteristic
1128C2×C22⋊C4—471no—
1129C2×C22⋊C4—471no—
1130C2×C22⋊C4—471no—
1131C2×C22⋊C4—478no—
1132C2×C22⋊C4—471no—
1133C2×C22⋊C4—471no—
1134C2×C22⋊C4—471no—
1135C2×C22⋊C4—471no—
1136C2×C22⋊C4—471no—
1137C2×C22⋊C4—471no—
1138C2×C22⋊C4—471no—
1139C2×C22⋊C4—471no—
1140C2×C22⋊C4—471no—
1141C2×C22⋊C4—471no—
1142C2×C22⋊C4—471no—
1143C2×C22⋊C4—471no—
1144C2×C22⋊C4—471no—
1145C2×C22⋊C4—471no—
1146C2×C22⋊C4—471no—
1147C2×C22⋊C4—471no—
1148C2×C22⋊C4—471no—
1149C2×C22⋊C4—471no—
1150C2×C22⋊C4—471no—
1151C2×C22⋊C4—471no—
1152C2×C22⋊C4—471no—
1153C2×C22⋊C4—471no—
1154C2×C22⋊C4—471no—
1155C2×C22⋊C4—471no—
1156C2×C22⋊C4—944no—
1157C2×C22⋊C4—944no—
1158C2×C22⋊C4—944no—
1159C2×C22⋊C4—944no—
1160C2×C22⋊C4—944no—
1161C2×C22⋊C4—944no—
1162C2×C22⋊C4—1882no—
1163C2×C22⋊C4—1882no—
1164C2×C22⋊C4C22×D4711yescharacteristic
1165C2×C22⋊C4C22×D4711yescharacteristic
1166C2×C22⋊C4C22×D4711yescharacteristic
1167C2×C22⋊C4C22×D4711yescharacteristic
1168C2×C22⋊C4C22×D4711yescharacteristic
1169C2×C22⋊C4C22×D4711yescharacteristic
1170C2×C22⋊C4C22×D4711yescharacteristic
1171C2×C22⋊C4C22×D4711yescharacteristic
1172C2×C22⋊C4C22×D4711yescharacteristic
1173C2×C42—471no—
1174C2×C42—471no—
1175C2×C42—471no—
1176C2×C42—471no—
1177C2×C42—471no—
1178C2×C42—471no—
1179C2×C42—944no—
1180C2×C42—1882no—
1181C2×C42C22×D4711yescharacteristic
1182C2×C42C22×D4711yescharacteristic
1183#95—471no—
1184#95—471no—
1185#95—471no—
1186#95—471no—
1187#95—471no—
1188#95—471no—
1189#95—471no—
1190#95—471no—
1191#95—471no—
1192#95—471no—
1193#95—471no—
1194#95—471no—
1195#95—471no—
1196#95—471no—
1197#95—471no—
1198#95—471no—
1199#95—471no—
1200#95—471no—
1201#95—471no—
1202#95—471no—
1203#95—471no—
1204#95—471no—
1205#95—471no—
1206#95—471no—
1207#95—471no—
1208#95—471no—
1209#95—471no—
1210#95—471no—
1211#95—471no—
1212#95—471no—
1213#95—471no—
1214#95—471no—
1215#95—471no—
1216#95—471no—
1217#95—471no—
1218#95—471no—
1219#95—471no—
1220#95—471no—
1221#95—471no—
1222#95—471no—
1223#95—471no—
1224#95—471no—
1225#95C22×D4711yescharacteristic
1226#95C22×D4711yescharacteristic
1227#95C22×D4711yescharacteristic
1228#95C22×D4711yescharacteristic
1229#95C22×D4711yescharacteristic
1230#95C22×D4711yescharacteristic
1231#95C22×D4711yescharacteristic
1232#95C22×D4711yescharacteristic
1233#95C22×D4711yescharacteristic
1234#95C22×D4711yescharacteristic
1235#95C22×D4711yescharacteristic
1236#95C22×D4711yescharacteristic
1237#95C22×D4711yescharacteristic
1238#95C22×D4711yescharacteristic
1239C24—471no—
1240C24—474no—
1241C24—474no—
1242C24—474no—
1243C24—471no—
1244C24—471no—
1245C24—942no—
1246C24—942no—
1247C24—942no—
1248C24—942no—
1249C24—942no—
1250C24—942no—
1251C24—942no—
1252C24—942no—
1253C24—942no—
1254C24—942no—
1255C24—942no—
1256C24C23×D4711yescharacteristic
1257C24C23×D4711yescharacteristic
1258C2×Q8—22no—
1259C2×Q8—22no—
1260C2×Q8—41no—
1261C2×Q8—942no—
1262C2×Q8—942no—
1263C2×Q8—942no—
1264C2×Q8—942no—
1265C2×Q8—942no—
1266C2×Q8—942no—
1267C2×Q8—1881no—
1268C2×Q8—1881no—
1269C2×Q8—1881no—
1270C2×Q8—18816no—
1271C2×D4—22no—
1272C2×D4—22no—
1273C2×D4—22no—
1274C2×D4—942no—
1275C2×D4—942no—
1276C2×D4—942no—
1277C2×D4—942no—
1278C2×D4—942no—
1279C2×D4—942no—
1280C2×D4—942no—
1281C2×D4—942no—
1282C2×D4—942no—
1283C2×D4—18816no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—41no—
1292C22×C4—41no—
1293C22×C4—471no—
1294C22×C4—471no—
1295C22×C4—471no—
1296C22×C4—471no—
1297C22×C4—474no—
1298C22×C4—474no—
1299C22×C4—474no—
1300C22×C4—474no—
1301C22×C4—471no—
1302C22×C4—471no—
1303C22×C4—471no—
1304C22×C4—471no—
1305C22×C4—471no—
1306C22×C4—471no—
1307C22×C4—471no—
1308C22×C4—471no—
1309C22×C4—471no—
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—942no—
1334C22×C4—942no—
1335C22×C4—942no—
1336C22×C4—942no—
1337C22×C4—942no—
1338C22×C4—942no—
1339C22×C4—942no—
1340C22×C4—942no—
1341C22×C4—942no—
1342C22×C4—942no—
1343C22×C4—942no—
1344C22×C4—942no—
1345C22×C4—942no—
1346C22×C4—942no—
1347C22×C4—942no—
1348C22×C4—942no—
1349C22×C4—942no—
1350C22×C4—942no—
1351C22×C4—942no—
1352C22×C4—942no—
1353C22×C4—942no—
1354C22×C4—942no—
1355C22×C4—942no—
1356C22×C4—942no—
1357C22×C4—942no—
1358C22×C4—942no—
1359C22×C4—942no—
1360C22×C4—942no—
1361C22×C4—942no—
1362C22×C4—942no—
1363C22×C4—942no—
1364C22×C4—942no—
1365C22×C4—942no—
1366C22×C4—1881no—
1367C22×C4—1881no—
1368C22×C4—1881no—
1369C22×C4—1881no—
1370C22×C4—18816no—
1371C22×C4—18816no—
1372C22×C4—18816no—
1373C22×C4—1881no—
1374C22×C4—1881no—
1375C22×C4C23×D4711yescharacteristic
1376C22×C4C23×D4711yescharacteristic
1377C22×C4C23×D4711yescharacteristic
1378C22×C4C23×D4711yescharacteristic
1379C22×C4C23×D4711yescharacteristic
1380C22×C4C23×D4711yescharacteristic
1381C22×C4C23×D4711yescharacteristic
1382C22×C4C23×D4711yescharacteristic
1383C22×C4C23×D4711yescharacteristic
1384C22×C4C23×D4711yescharacteristic
1385C22×C4C23×D4711yescharacteristic
1386C22×C4C23×D4711yescharacteristic
1387C22×C4C23×D4711yescharacteristic
1388C4⋊C4—22no—
1389C4⋊C4—22no—
1390C4⋊C4—22no—
1391C4⋊C4—22no—
1392C4⋊C4—22no—
1393C4⋊C4—942no—
1394C4⋊C4—942no—
1395C4⋊C4—942no—
1396C4⋊C4—942no—
1397C4⋊C4—942no—
1398C4⋊C4—942no—
1399C4⋊C4—942no—
1400C4⋊C4—942no—
1401C4⋊C4—942no—
1402C4⋊C4—942no—
1403C4⋊C4—942no—
1404C4⋊C4—942no—
1405C4⋊C4—942no—
1406C4⋊C4—942no—
1407C4⋊C4—942no—
1408C22⋊C4—22no—
1409C22⋊C4—22no—
1410C22⋊C4—22no—
1411C22⋊C4—22no—
1412C22⋊C4—22no—
1413C22⋊C4—22no—
1414C22⋊C4—41no—
1415C22⋊C4—41no—
1416C22⋊C4—474no—
1417C22⋊C4—474no—
1418C22⋊C4—474no—
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—1881no—
1438C22⋊C4—1881no—
1439C22⋊C4—1881no—
1440C22⋊C4—1881no—
1441C22⋊C4—1881no—
1442C22⋊C4—1881no—
1443C22⋊C4D4×D4714yes—
1444C42—22no—
1445C42—41no—
1446C42—942no—
1447C42—942no—
1448C42—942no—
1449C42—1881no—
1450C42—1881no—
1451C42—1881no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—472no—
1464C23—472no—
1465C23—472no—
1466C23—472no—
1467C23—472no—
1468C23—472no—
1469C23—472no—
1470C23—4716no—
1471C23—472no—
1472C23—472no—
1473C23—472no—
1474C23—948no—
1475C23—948no—
1476C23—948no—
1477C23—948no—
1478C23—948no—
1479C23—948no—
1480C23—941no—
1481C23—941no—
1482C23—941no—
1483C23—941no—
1484C23—941no—
1485C23—941no—
1486C23—941no—
1487C23—941no—
1488C23—941no—
1489C23—941no—
1490C23—941no—
1491C23—1884no—
1492C23—1884no—
1493C23—1884no—
1494C23—1884no—
1495C23—1884no—
1496C23—1884no—
1497C23—1884no—
1498C23C2×D4×D4712yes—
1499C23#41×D4712yes—
1500C23#41×D4712yes—
1501C23C24×D4711yescharacteristic
1502Q8—44no—
1503Q8—1884no—
1504Q8—1884no—
1505Q8—1884no—
1506D4—44no—
1507D4—1884no—
1508D4—1884no—
1509D4—1884no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—44no—
1546C2×C4—44no—
1547C2×C4—44no—
1548C2×C4—472no—
1549C2×C4—472no—
1550C2×C4—472no—
1551C2×C4—472no—
1552C2×C4—948no—
1553C2×C4—948no—
1554C2×C4—948no—
1555C2×C4—948no—
1556C2×C4—941no—
1557C2×C4—941no—
1558C2×C4—941no—
1559C2×C4—941no—
1560C2×C4—941no—
1561C2×C4—941no—
1562C2×C4—941no—
1563C2×C4—941no—
1564C2×C4—941no—
1565C2×C4—941no—
1566C2×C4—941no—
1567C2×C4—941no—
1568C2×C4—941no—
1569C2×C4—941no—
1570C2×C4—941no—
1571C2×C4—941no—
1572C2×C4—941no—
1573C2×C4—941no—
1574C2×C4—941no—
1575C2×C4—941no—
1576C2×C4—941no—
1577C2×C4—941no—
1578C2×C4—941no—
1579C2×C4—941no—
1580C2×C4—941no—
1581C2×C4—941no—
1582C2×C4—941no—
1583C2×C4—941no—
1584C2×C4—941no—
1585C2×C4—941no—
1586C2×C4—941no—
1587C2×C4—941no—
1588C2×C4—941no—
1589C2×C4—941no—
1590C2×C4—941no—
1591C2×C4—1884no—
1592C2×C4—1884no—
1593C2×C4—1884no—
1594C2×C4—1884no—
1595C2×C4—1884no—
1596C2×C4—1884no—
1597C2×C4—1884no—
1598C2×C4—1884no—
1599C2×C4—1884no—
1600C2×C4—1884no—
1601C2×C4—1884no—
1602C2×C4—1884no—
1603C2×C4—1884no—
1604C2×C4—1884no—
1605C2×C4—1884no—
1606C2×C4—1884no—
1607C2×C4—1884no—
1608C2×C4—1884no—
1609C2×C4C2×D4×D4712yes—
1610C2×C4C2×D4×D4712yes—
1611C2×C4#41×D4712yes—
1612C2×C4#41×D4712yes—
1613C22—22no—
1614C22—22no—
1615C22—22no—
1616C22—22no—
1617C22—22no—
1618C22—22no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—474no—
1627C22—474no—
1628C22—474no—
1629C22—474no—
1630C22—474no—
1631C22—474no—
1632C22—474no—
1633C22—474no—
1634C22—9432no—
1635C22—942no—
1636C22—942no—
1637C22—942no—
1638C22—942no—
1639C22—942no—
1640C22—942no—
1641C22—3768no—
1642C22—1881no—
1643C22—1881no—
1644C22—1881no—
1645C22—1881no—
1646C22—1881no—
1647C22—1881no—
1648C22—1881no—
1649C22#124×D4714yes—
1650C22C22×D4×D4711yescharacteristic
1651C22C2×#41×D4711yescharacteristic
1652C22C2×#41×D4711yescharacteristic
1653C22C2×#41×D4711yescharacteristic
1654C22C2×#41×D4711yescharacteristic
1655C22H(5,𝔽2)×D4711yescharacteristic
1656C222−1+4×D4711yescharacteristic
1657C4—22no—
1658C4—22no—
1659C4—22no—
1660C4—22no—
1661C4—41no—
1662C4—41no—
1663C4—41no—
1664C4—41no—
1665C4—41no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—942no—
1671C4—942no—
1672C4—942no—
1673C4—942no—
1674C4—1881no—
1675C4—1881no—
1676C4—1881no—
1677C4—1881no—
1678C4—1881no—
1679C4—1881no—
1680C4—1881no—
1681C4—1881no—
1682C4—1881no—
1683C2—24no—
1684C2—81no—
1685C2—478no—
1686C2—944no—
1687C2—3761no—
1688C2C2×#124×D4711yescharacteristic
1689C2#529×D4711yescharacteristic
1690C2#539×D4711yescharacteristic
1691C2#546×D4711yescharacteristic
1692C2#547×D4711yescharacteristic
1693C2#551×D4711yescharacteristic
1694C2#552×D4711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2488C2
prime radicalC22×D4×D47C22
hypercenter#2488D47
hypocenterC47C2×#2488
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2488

Complements

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

NH ≅ G/Ntype
2. C2×C22⋊Q8×D47C2semidirect
3. #20247721C2semidirect
4. #20247720C2semidirect
5. #20247719C2semidirect
6. #20247718C2semidirect
7. #20247717C2semidirect
8. #20247716C2semidirect
9. #20247715C2semidirect
10. #20247714C2semidirect
11. #20247713C2semidirect
12. #20247712C2semidirect
13. #20247711C2semidirect
14. #20247710C2semidirect
15. #20247709C2semidirect
16. #20247708C2semidirect
17. #20247707C2semidirect
18. #400×D47C2semidirect
19. #400×D47C2semidirect
20. #397×D47C2semidirect
21. #393×D47C2semidirect
22. #391×D47C2semidirect
23. #388×D47C2semidirect
24. #388×D47C2semidirect
27. #382×D47C2semidirect
28. #381×D47C2semidirect
29. C4×C22⋊C4×D47C2semidirect
30. C2×#95×D47C2semidirect
31. C47×#2488C2semidirect
45. C2×#13094004C22semidirect
46. C2×#13094003C22semidirect
47. C2×#13094002C22semidirect
48. C2×#13094002C22semidirect
49. C2×#13094001C22semidirect
50. C2×#13094001C22semidirect
51. C2×#13094000C22semidirect
69. #15689065C22semidirect
70. #15689065C22semidirect
71. #15689065C22semidirect
72. #15689065C22semidirect
73. #15689064C22semidirect
74. #15689064C22semidirect
75. #15689064C22semidirect
76. #15689064C22semidirect
77. #15689063C22semidirect
78. #15689063C22semidirect
79. #15689062C22semidirect
80. #15689062C22semidirect
81. #15689061C22semidirect
82. #15689061C22semidirect
83. #15689052C22semidirect
84. #15689052C22semidirect
85. #15689051C22semidirect
86. #15689051C22semidirect
87. #15689050C22semidirect
88. #15689049C22semidirect
89. #15689048C22semidirect
90. #15689036C22semidirect
91. #15689036C22semidirect
92. #15689036C22semidirect
93. #15689035C22semidirect
94. #15689035C22semidirect
95. #15689035C22semidirect
96. #15689034C22semidirect
97. #15689030C22semidirect
98. #15689029C22semidirect
99. #15689028C22semidirect
100. #15689027C22semidirect
101. #15689027C22semidirect
102. #15689027C22semidirect
103. #15689027C22semidirect
104. #15689017C22semidirect
105. #15689017C22semidirect
106. #15689016C22semidirect
107. #15689016C22semidirect
108. #15689015C22semidirect
109. #15689015C22semidirect
110. #15689014C22semidirect
111. #15689014C22semidirect
112. #15689013C22semidirect
113. #15689013C22semidirect
114. #15689012C22semidirect
115. #15689012C22semidirect
116. #15689011C22semidirect
117. #15689011C22semidirect
132. #15688989C22semidirect
133. #15688988C22semidirect
134. #15688988C22semidirect
135. #15688987C22semidirect
136. #15688987C22semidirect
137. #15688987C22semidirect
138. #15688987C22semidirect
139. #15688986C22semidirect
140. #15688985C22semidirect
141. #15688985C22semidirect
142. #15688985C22semidirect
143. #15688985C22semidirect
144. #15688984C22semidirect
145. #15688984C22semidirect
146. C22⋊C4×Dic47C22semidirect
147. C22⋊C4×Dic47C22semidirect
148. C4×(C2×D47)⋊C4C22semidirect
149. C4×(C2×D47)⋊C4C22semidirect
150. C4×C22⋊Dic47C22semidirect
151. #15688970C22semidirect
152. #15688970C22semidirect
153. C2×C47⋊#95C22semidirect
154. C2×C47⋊#95C22semidirect
155. C2×C47⋊#95C22semidirect
170. #95×D47C22semidirect
171. #95×D47C22semidirect
172. #95×D47C22semidirect
173. #95×D47C22semidirect
175. C2×C22⋊Q8×C47C22semidirect
176. C47×#400C22semidirect
177. C47×#400C22semidirect
178. C47×#397C22semidirect
179. C47×#393C22semidirect
180. C47×#391C22semidirect
181. C47×#388C22semidirect
182. C47×#388C22semidirect
185. C47×#382C22semidirect
186. C47×#381C22semidirect
187. C4×C22⋊C4×C47C22semidirect
188. C2×#95×C47C22semidirect
853. #2488D47direct (N × H)
878. D47#2488direct (N × H)
901. C2×C22⋊Q8C2×D47semidirect
932. #400C2×D47semidirect
933. #400C2×D47semidirect
941. #397C2×D47semidirect
949. #393C2×D47semidirect
957. #391C2×D47semidirect
972. #388C2×D47semidirect
973. #388C2×D47semidirect
997. #382C2×D47semidirect
1005. #381C2×D47semidirect
1013. C4×C22⋊C4C2×D47semidirect
1035. C2×#95C2×D47semidirect
1036. C47C2×#2488semidirect

Maximal subgroups

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

subgroupindex
C2×#123×D472
C2×C22⋊Q8×D472
#202477212
#202477202
#202477192
#202477182
#202477172
#202477162
#202477152
#202477142
#202477132
#202477122
#202477112
#202477102
#202477092
#202477082
#202477072
#400×D472
#397×D472
#393×D472
#391×D472
#388×D472
#386×D472
#382×D472
#381×D472
C4×C22⋊C4×D472
C2×#95×D472
C47×#24882
C2×#248847