Finite Group Databasebeta

← D47×#2450 #26384024

Subgroups — D47×#2450 #26384024

Order 12032.

3374 conjugacy classes of subgroups.

The subgroup lattice has 1746 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C22⋊Q8×D47C211yesmaximal, characteristic, complemented
2C2×C4×D4×D47C211yesmaximal, characteristic
3#20247219C211yesmaximal, characteristic, complemented
4#20247218C211yesmaximal, characteristic, complemented
5#20247217C211yesmaximal, characteristic, complemented
6#20247216C211yesmaximal, characteristic, complemented
7#20247215C211yesmaximal, characteristic, complemented
8#20247214C211yesmaximal, characteristic, complemented
9#20247213C211yesmaximal, characteristic, complemented
10#20247212C211yesmaximal, characteristic, complemented
11#20247211C211yesmaximal, characteristic, complemented
12#20247210C211yesmaximal, characteristic, complemented
13#20247209C211yesmaximal, characteristic, complemented
14#20247208C211yesmaximal, characteristic, complemented
15#20247207C211yesmaximal, characteristic, complemented
16#20247206C211yesmaximal, characteristic, complemented
17#20247205C211yesmaximal, characteristic, complemented
18#400×D47C211yesmaximal, characteristic, complemented
19#398×D47C211yesmaximal, characteristic, complemented
20#396×D47C211yesmaximal, characteristic, complemented
21#393×D47C211yesmaximal, characteristic, complemented
22#391×D47C211yesmaximal, characteristic, complemented
23#387×D47C211yesmaximal, characteristic, complemented
24#386×D47C211yesmaximal, characteristic
25#386×D47C211yesmaximal, characteristic
26#385×D47C211yesmaximal, characteristic, complemented
27#385×D47C211yesmaximal, characteristic, complemented
28#385×D47C211yesmaximal, characteristic, complemented
29#380×D47C211yesmaximal, characteristic, complemented
30C2×#95×D47C211yesmaximal, characteristic, complemented
31C47×#2450C211yesmaximal, characteristic, complemented
32C22×Q8×D47C2211yescharacteristic
33C22×D4×D47C2211yescharacteristic
34C23×C4×D47C2211yescharacteristic
35C23×C4×D47C2211yescharacteristic
36C23×C4×D47C2211yescharacteristic
37C23×C4×D47C2211yescharacteristic
38C2×#13094004C2211yescharacteristic, complemented
39C2×#13094003C2211yescharacteristic, complemented
40C2×#13094002C2211yescharacteristic, complemented
41C2×#13094002C2211yescharacteristic, complemented
42C2×#13094001C2211yescharacteristic, complemented
43C2×#13094001C2211yescharacteristic, complemented
44C2×#13094000C2211yescharacteristic, complemented
45C22⋊Q8×D47—28no—
46C2×C4×D188C2211yescharacteristic
47C2×D4×Dic47C2211yescharacteristic
48C2×#13093986C2211yescharacteristic
49C2×C4×C22⋊D47C2211yescharacteristic
50C2×C4×C22⋊D47C2211yescharacteristic
51C2×(C22⋊D47)⋊C4C2211yescharacteristic
52C2×(C22⋊D47)⋊C4C2211yescharacteristic
53C4×D4×D47—28no—
54C2×C4⋊C4×D47C2211yescharacteristic
55C2×C4⋊C4×D47C2211yescharacteristic
56C2×C4⋊C4×D47C2211yescharacteristic
57C2×C4⋊C4×D47C2211yescharacteristic
58C2×C4⋊C4×D47C2211yescharacteristic
59C2×C4⋊C4×D47C2211yescharacteristic
60C2×C4⋊C4×D47C2211yescharacteristic
61C2×C4⋊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×C42×D47C2211yescharacteristic
71#15689065C2211yescharacteristic, complemented
72#15689065C2211yescharacteristic, complemented
73#15689064C2211yescharacteristic, complemented
74#15689064C2211yescharacteristic, complemented
75#15689063C2211yescharacteristic, complemented
76#15689062C2211yescharacteristic, complemented
77#15689061C2211yescharacteristic, complemented
78#15689057C2211yescharacteristic, complemented
79#15689057C2211yescharacteristic, complemented
80#15689056C2211yescharacteristic, complemented
81#15689056C2211yescharacteristic, complemented
82#15689055C2211yescharacteristic, complemented
83#15689054C2211yescharacteristic, complemented
84#15689053C2211yescharacteristic, complemented
85#15689047C2211yescharacteristic, complemented
86#15689046C2211yescharacteristic, complemented
87#15689046C2211yescharacteristic, complemented
88#15689046C2211yescharacteristic, complemented
89#15689045C2211yescharacteristic, complemented
90#15689045C2211yescharacteristic, complemented
91#15689045C2211yescharacteristic, complemented
92#15689036C2211yescharacteristic, complemented
93#15689036C2211yescharacteristic, complemented
94#15689036C2211yescharacteristic, complemented
95#15689035C2211yescharacteristic, complemented
96#15689035C2211yescharacteristic, complemented
97#15689035C2211yescharacteristic, complemented
98#15689034C2211yescharacteristic, complemented
99#15689030C2211yescharacteristic, complemented
100#15689029C2211yescharacteristic, complemented
101#15689028C2211yescharacteristic, complemented
102#15689027C2211yescharacteristic, complemented
103#15689027C2211yescharacteristic, complemented
104#15689027C2211yescharacteristic, complemented
105#15689027C2211yescharacteristic, complemented
106#15689010C2211yescharacteristic, complemented
107#15689009C2211yescharacteristic, complemented
108#15689008C2211yescharacteristic, complemented
109#15689007C2211yescharacteristic, complemented
110#15689006C2211yescharacteristic, complemented
111#15689005C2211yescharacteristic, complemented
112#15689004C2211yescharacteristic, complemented
113#15689003C2211yescharacteristic
114#15689003C2211yescharacteristic
115#15689002C2211yescharacteristic
116#15689002C2211yescharacteristic
117#15689001C2211yescharacteristic
118#15689001C2211yescharacteristic
119#15689001C2211yescharacteristic
120#15689001C2211yescharacteristic
121#15689000C2211yescharacteristic
122#15689000C2211yescharacteristic
123#15688999C2211yescharacteristic
124#15688999C2211yescharacteristic
125#15688999C2211yescharacteristic
126#15688999C2211yescharacteristic
127#15688998C2211yescharacteristic, complemented
128#15688998C2211yescharacteristic, complemented
129#15688998C2211yescharacteristic, complemented
130#15688997C2211yescharacteristic, complemented
131#15688997C2211yescharacteristic, complemented
132#15688997C2211yescharacteristic, complemented
133#15688997C2211yescharacteristic, complemented
134#15688997C2211yescharacteristic, complemented
135#15688997C2211yescharacteristic, complemented
136#15688996C2211yescharacteristic, complemented
137#15688996C2211yescharacteristic, complemented
138#15688996C2211yescharacteristic, complemented
139#15688995C2211yescharacteristic, complemented
140#15688995C2211yescharacteristic, complemented
141#15688995C2211yescharacteristic, complemented
142#15688994C2211yescharacteristic, complemented
143#15688994C2211yescharacteristic, complemented
144#15688994C2211yescharacteristic, complemented
145#15688994C2211yescharacteristic, complemented
146#15688994C2211yescharacteristic, complemented
147#15688994C2211yescharacteristic, complemented
148#15688983C2211yescharacteristic, complemented
149#15688982C2211yescharacteristic, complemented
150#15688982C2211yescharacteristic, complemented
151#15688981C2211yescharacteristic, complemented
152#15688981C2211yescharacteristic, complemented
153#15688980C2211yescharacteristic, complemented
154#15688980C2211yescharacteristic, complemented
155C2×C47⋊#95C2211yescharacteristic, complemented
156C2×C47⋊#95C2211yescharacteristic, complemented
157C2×C47⋊#95C2211yescharacteristic, complemented
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×C22⋊Q8×C47C2211yescharacteristic, complemented
175C2×C4×D4×C47C2211yescharacteristic
176C47×#400C2211yescharacteristic, complemented
177C47×#398C2211yescharacteristic, complemented
178C47×#396C2211yescharacteristic, complemented
179C47×#393C2211yescharacteristic, complemented
180C47×#391C2211yescharacteristic, complemented
181C47×#387C2211yescharacteristic, complemented
182C47×#386C2211yescharacteristic
183C47×#386C2211yescharacteristic
184C47×#385C2211yescharacteristic, complemented
185C47×#385C2211yescharacteristic, complemented
186C47×#385C2211yescharacteristic, complemented
187C47×#380C2211yescharacteristic, 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×D47Q818yescomplemented
203C23×Dic47C2311yescharacteristic
204C23×Dic47C2311yescharacteristic
205C23×Dic47C2311yescharacteristic
206C23×Dic47C2311yescharacteristic
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—24no—
214C22×C4×D47—42no—
215C22×C4×D47—42no—
216C22×C4×D47—42no—
217C22×C4×D47—42no—
218C22×C4×D47—42no—
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
234C22×C4×D47C2311yescharacteristic
235C22×C4×D47C2311yescharacteristic
236C22×C4×D47C2311yescharacteristic
237C22×C4×D47C2311yescharacteristic
238C22×C4×D47C2311yescharacteristic
239C22×C4×D47C2311yescharacteristic
240#13094004—24no—
241#13094003—24no—
242#13094002—24no—
243#13094002—24no—
244#13094001—24no—
245#13094001—24no—
246#13094000—24no—
247C4×D188—24no—
248D4×Dic47—24no—
249#13093986—24no—
250C4×C22⋊D47—24no—
251C4×C22⋊D47—24no—
252(C22⋊D47)⋊C4—24no—
253(C22⋊D47)⋊C4—24no—
254C2×C4⋊Dic47C2311yescharacteristic
255C2×C4⋊Dic47C2311yescharacteristic
256C2×C4⋊Dic47C2311yescharacteristic
257C2×C4⋊Dic47C2311yescharacteristic
258C2×C4⋊Dic47C2311yescharacteristic
259C2×C4⋊Dic47C2311yescharacteristic
260C2×C4⋊Dic47C2311yescharacteristic
261C2×C4⋊Dic47C2311yescharacteristic
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
272C2×Dic47⋊C4C2311yescharacteristic
273C2×Dic47⋊C4C2311yescharacteristic
274C2×Dic47⋊C4C2311yescharacteristic
275C2×Dic47⋊C4C2311yescharacteristic
276C2×Dic47⋊C4C2311yescharacteristic
277C2×Dic47⋊C4C2311yescharacteristic
278C4⋊C4×D47—24no—
279C4⋊C4×D47—24no—
280C4⋊C4×D47—24no—
281C4⋊C4×D47—24no—
282C4⋊C4×D47—24no—
283C4⋊C4×D47—42no—
284C4⋊C4×D47—42no—
285C4⋊C4×D47—42no—
286C2×C22⋊Dic47C2311yescharacteristic
287C2×C22⋊Dic47C2311yescharacteristic
288C2×C22⋊Dic47C2311yescharacteristic
289C2×C22⋊Dic47C2311yescharacteristic
290C2×C22⋊Dic47C2311yescharacteristic
291C2×C22⋊Dic47C2311yescharacteristic
292C2×C22⋊Dic47C2311yescharacteristic
293C2×C22⋊Dic47C2311yescharacteristic
294C2×(C2×D47)⋊C4C2311yescharacteristic
295C2×(C2×D47)⋊C4C2311yescharacteristic
296C2×(C2×D47)⋊C4C2311yescharacteristic
297C2×(C2×D47)⋊C4C2311yescharacteristic
298C2×(C2×D47)⋊C4C2311yescharacteristic
299C2×(C2×D47)⋊C4C2311yescharacteristic
300C2×(C2×D47)⋊C4C2311yescharacteristic
301C2×(C2×D47)⋊C4C2311yescharacteristic
302C2×(C2×D47)⋊C4C2311yescharacteristic
303C2×(C2×D47)⋊C4C2311yescharacteristic
304C2×(C2×D47)⋊C4C2311yescharacteristic
305C2×(C2×D47)⋊C4C2311yescharacteristic
306C2×(C2×D47)⋊C4C2311yescharacteristic
307C2×(C2×D47)⋊C4C2311yescharacteristic
308C2×(C2×D47)⋊C4C2311yescharacteristic
309C2×(C2×D47)⋊C4C2311yescharacteristic
310C22⋊C4×D47—24no—
311C22⋊C4×D47—24no—
312C22⋊C4×D47—24no—
313C22⋊C4×D47—24no—
314C22⋊C4×D47—42no—
315C22⋊C4×D47—42no—
316C22⋊C4×D47—42no—
317C22⋊C4×D47D418yes—
318C2×C4×Dic47C2311yescharacteristic
319C2×C4×Dic47C2311yescharacteristic
320C2×C4×Dic47C2311yescharacteristic
321C42×D47—24no—
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
354C47⋊#95C2311yescharacteristic
355C47⋊#95C2311yescharacteristic
356C47⋊#95C2311yescharacteristic
357C47⋊#95C2311yescharacteristic
358C22×Q8×C47C2311yescharacteristic
359C22×D4×C47C2311yescharacteristic
360C23×C4×C47C2311yescharacteristic
361C23×C4×C47C2311yescharacteristic
362C23×C4×C47C2311yescharacteristic
363C23×C4×C47C2311yescharacteristic
364C22⋊Q8×C47—24no—
365C4×D4×C47—24no—
366C2×C4⋊C4×C47C2311yescharacteristic
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×C22⋊C4×C47C2311yescharacteristic
375C2×C22⋊C4×C47C2311yescharacteristic
376C2×C22⋊C4×C47C2311yescharacteristic
377C2×C22⋊C4×C47C2311yescharacteristic
378C2×C22⋊C4×C47C2311yescharacteristic
379C2×C22⋊C4×C47C2311yescharacteristic
380C2×C22⋊C4×C47C2311yescharacteristic
381C2×C22⋊C4×C47C2311yescharacteristic
382C2×C42×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
391#95×C47C2311yescharacteristic
392#95×C47C2311yescharacteristic
393#95×C47C2311yescharacteristic
394#95×C47C2311yescharacteristic
395C24×C47C2411yescharacteristic
396C24×C47C2411yescharacteristic
397C23×D47—22no—
398C23×D47—22no—
399C23×D47—22no—
400C23×D47—22no—
401C23×D47—22no—
402C23×D47—22no—
403C23×D47—22no—
404C23×D47—22no—
405C23×D47—22no—
406C23×D47—22no—
407C23×D47C2×D414yes—
408C23×D47C2×Q814yes—
409C23×D47C2×Q814yes—
410C23×D47#4114yes—
411C23×D47C2411yescharacteristic
412C23×D47C2411yescharacteristic
413C23×D47C2411yescharacteristic
414C2×Q8×C47—22no—
415C2×Q8×C47—22no—
416C2×Q8×C47—41no—
417C2×D4×C47—22no—
418C2×D4×C47—22no—
419C2×D4×C47C2×Q814yescomplemented
420C22×C4×C47—22no—
421C22×C4×C47—22no—
422C22×C4×C47—22no—
423C22×C4×C47—22no—
424C22×C4×C47—22no—
425C22×C4×C47—22no—
426C22×C4×C47—22no—
427C22×C4×C47—41no—
428C22×C4×C47—41no—
429C22×C4×C47—41no—
430C22×C4×C47—41no—
431C22×C4×C47—41no—
432C22×C4×C47C2411yescharacteristic
433C22×C4×C47C2411yescharacteristic
434C22×C4×C47C2411yescharacteristic
435C22×C4×C47C2411yescharacteristic
436C22×C4×C47C2411yescharacteristic
437C22×C4×C47C2411yescharacteristic
438C22×C4×C47C2411yescharacteristic
439C22×C4×C47C2411yescharacteristic
440C22×C4×C47C2411yescharacteristic
441C22×C4×C47C2411yescharacteristic
442C22×C4×C47C2411yescharacteristic
443C22×C4×C47C2411yescharacteristic
444C22×C4×C47C2411yescharacteristic
445C2×C22⋊D47—22no—
446C2×C22⋊D47—22no—
447C2×C22⋊D47—22no—
448C2×C22⋊D47—22no—
449C2×C22⋊D47C2×Q814yescomplemented
450C2×C22⋊D47C2×Q814yescomplemented
451C22×Dic47—22no—
452C22×Dic47—22no—
453C22×Dic47—22no—
454C22×Dic47—22no—
455C22×Dic47—22no—
456C22×Dic47—22no—
457C22×Dic47—22no—
458C22×Dic47—41no—
459C22×Dic47—41no—
460C22×Dic47—41no—
461C22×Dic47—41no—
462C22×Dic47—41no—
463C22×Dic47C2411yescharacteristic
464C22×Dic47C2411yescharacteristic
465C22×Dic47C2411yescharacteristic
466C22×Dic47C2411yescharacteristic
467C22×Dic47C2411yescharacteristic
468C22×Dic47C2411yescharacteristic
469C22×Dic47C2411yescharacteristic
470C22×Dic47C2411yescharacteristic
471C22×Dic47C2411yescharacteristic
472C22×Dic47C2411yescharacteristic
473C22×Dic47C2411yescharacteristic
474C22×Dic47C2411yescharacteristic
475C22×Dic47C2411yescharacteristic
476Q8×D47—416no—
477D4×D47—232no—
478C2×D188—22no—
479C2×D188—22no—
480C2×D188C2×Q814yescomplemented
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—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—416no—
530C2×C4×D47—416no—
531C2×C4×D47—416no—
532C2×C4×D47—41no—
533C2×C4×D47—41no—
534C2×C4×D47—41no—
535C2×C4×D47—41no—
536C2×C4×D47—41no—
537C2×C4×D47—41no—
538C2×C4×D47—41no—
539C2×C4×D47—41no—
540C2×C4×D47—41no—
541C2×C4×D47—41no—
542C2×C4×D47—416no—
543C2×C4×D47C2×D414yes—
544C2×C4×D47C2×D414yes—
545C2×C4×D47C2×Q814yes—
546C2×C4×D47#4114yes—
547C2×C4×D47#4114yes—
548C2×Dic94—22no—
549C2×Dic94—22no—
550C2×Dic94—22no—
551C2×Dic94—22no—
552C2×Dic94—22no—
553C2×Dic94—22no—
554C2×Dic94—41no—
555C2×Dic94—41no—
556C2×Dic94—41no—
557C4⋊C4×C47—22no—
558C4⋊C4×C47—22no—
559C4⋊C4×C47—22no—
560C4⋊C4×C47—22no—
561C4⋊C4×C47—22no—
562C4⋊C4×C47—41no—
563C4⋊C4×C47—41no—
564C4⋊C4×C47—41no—
565C22⋊C4×C47—22no—
566C22⋊C4×C47—22no—
567C22⋊C4×C47—22no—
568C22⋊C4×C47—22no—
569C22⋊C4×C47—41no—
570C22⋊C4×C47—41no—
571C22⋊C4×C47—41no—
572C22⋊C4×C47C2×D414yes—
573C42×C47—22no—
574C22⋊Dic47—22no—
575C22⋊Dic47—22no—
576C22⋊Dic47—22no—
577C22⋊Dic47—22no—
578C22⋊Dic47—41no—
579C22⋊Dic47—41no—
580C22⋊Dic47—41no—
581C22⋊Dic47C2×D414yes—
582(C2×D47)⋊C4—22no—
583(C2×D47)⋊C4—22no—
584(C2×D47)⋊C4—22no—
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—41no—
591(C2×D47)⋊C4—41no—
592(C2×D47)⋊C4—41no—
593(C2×D47)⋊C4—41no—
594(C2×D47)⋊C4—41no—
595(C2×D47)⋊C4—41no—
596(C2×D47)⋊C4C2×D414yes—
597(C2×D47)⋊C4C2×D414yes—
598C4⋊Dic47—22no—
599C4⋊Dic47—22no—
600C4⋊Dic47—22no—
601C4⋊Dic47—22no—
602C4⋊Dic47—22no—
603C4⋊Dic47—41no—
604C4⋊Dic47—41no—
605C4⋊Dic47—41no—
606Dic47⋊C4—22no—
607Dic47⋊C4—22no—
608Dic47⋊C4—22no—
609Dic47⋊C4—22no—
610Dic47⋊C4—22no—
611Dic47⋊C4—22no—
612Dic47⋊C4—22no—
613Dic47⋊C4—22no—
614Dic47⋊C4—22no—
615Dic47⋊C4—22no—
616Dic47⋊C4—41no—
617Dic47⋊C4—41no—
618Dic47⋊C4—41no—
619Dic47⋊C4—41no—
620Dic47⋊C4—41no—
621Dic47⋊C4—41no—
622C4×Dic47—22no—
623C4×Dic47—22no—
624C4×Dic47—22no—
625C23×C47—21no—
626C23×C47—21no—
627C23×C47—21no—
628C23×C47—21no—
629C23×C47—21no—
630C23×C47—21no—
631C23×C47—21no—
632C23×C47—21no—
633C23×C47—21no—
634C23×C47—21no—
635C23×C47C22×D412yes—
636C23×C47C22×Q812yes—
637C23×C47C22×Q812yes—
638C23×C47C2×#4112yes—
639C23×C47C2511yescharacteristic
640C22×D47—21no—
641C22×D47—21no—
642C22×D47—21no—
643C22×D47—21no—
644C22×D47—28no—
645C22×D47—28no—
646C22×D47—28no—
647C22×D47—28no—
648C22×D47—28no—
649C22×D47—28no—
650C22×D47—21no—
651C22×D47—21no—
652C22×D47—21no—
653C22×D47—21no—
654C22×D47—21no—
655C22×D47—21no—
656C22×D47—28no—
657C22×D47—28no—
658C22×D47—28no—
659C22×D47—44no—
660C22×D47—44no—
661C22×D47—44no—
662C22×D47—44no—
663C22×D47C22⋊Q8116yes—
664C22×D47C22×D412yes—
665C22×D47C22×D412yes—
666C22×D47C22×Q812yes—
667C22×D47C22×Q812yes—
668C22×D47C22×Q812yes—
669C22×D47C2×#4112yes—
670C22×D47C2×#4112yes—
671C22×D47C2×#4112yes—
672C22×D47C2×#4112yes—
673C22×D47H(5,𝔽2)12yes—
674C22×D47H(5,𝔽2)12yes—
675Q8×C47—44no—
676D4×C47—28no—
677C2×C4×C47—21no—
678C2×C4×C47—21no—
679C2×C4×C47—21no—
680C2×C4×C47—21no—
681C2×C4×C47—21no—
682C2×C4×C47—21no—
683C2×C4×C47—21no—
684C2×C4×C47—21no—
685C2×C4×C47—21no—
686C2×C4×C47—21no—
687C2×C4×C47—21no—
688C2×C4×C47—21no—
689C2×C4×C47—21no—
690C2×C4×C47—21no—
691C2×C4×C47—21no—
692C2×C4×C47—21no—
693C2×C4×C47—21no—
694C2×C4×C47—21no—
695C2×C4×C47—21no—
696C2×C4×C47—21no—
697C2×C4×C47—21no—
698C2×C4×C47—21no—
699C2×C4×C47—21no—
700C2×C4×C47—21no—
701C2×C4×C47—21no—
702C2×C4×C47—21no—
703C2×C4×C47—21no—
704C2×C4×C47—21no—
705C2×C4×C47—21no—
706C2×C4×C47—21no—
707C2×C4×C47—21no—
708C2×C4×C47—21no—
709C2×C4×C47—21no—
710C2×C4×C47—21no—
711C2×C4×C47—44no—
712C2×C4×C47—44no—
713C2×C4×C47—44no—
714C2×C4×C47—44no—
715C2×C4×C47C22×D412yes—
716C2×C4×C47C22×D412yes—
717C2×C4×C47C22×Q812yes—
718C2×C4×C47C2×#4112yes—
719C2×C4×C47C2×#4112yes—
720C22⋊D47—28no—
721C22⋊D47—28no—
722C2×Dic47—21no—
723C2×Dic47—21no—
724C2×Dic47—21no—
725C2×Dic47—21no—
726C2×Dic47—21no—
727C2×Dic47—21no—
728C2×Dic47—21no—
729C2×Dic47—21no—
730C2×Dic47—21no—
731C2×Dic47—21no—
732C2×Dic47—21no—
733C2×Dic47—21no—
734C2×Dic47—21no—
735C2×Dic47—21no—
736C2×Dic47—21no—
737C2×Dic47—21no—
738C2×Dic47—21no—
739C2×Dic47—21no—
740C2×Dic47—21no—
741C2×Dic47—21no—
742C2×Dic47—21no—
743C2×Dic47—21no—
744C2×Dic47—21no—
745C2×Dic47—21no—
746C2×Dic47—21no—
747C2×Dic47—21no—
748C2×Dic47—21no—
749C2×Dic47—21no—
750C2×Dic47—21no—
751C2×Dic47—21no—
752C2×Dic47—21no—
753C2×Dic47—21no—
754C2×Dic47—21no—
755C2×Dic47—21no—
756C2×Dic47—44no—
757C2×Dic47—44no—
758C2×Dic47—44no—
759C2×Dic47—44no—
760C2×Dic47C22×D412yes—
761C2×Dic47C22×D412yes—
762C2×Dic47C22×Q812yes—
763C2×Dic47C2×#4112yes—
764C2×Dic47C2×#4112yes—
765D188—28no—
766C4×D47—28no—
767C4×D47—28no—
768C4×D47—28no—
769C4×D47—28no—
770C4×D47—28no—
771C4×D47—44no—
772C4×D47—44no—
773C4×D47—44no—
774C4×D47—44no—
775C4×D47—44no—
776C4×D47—44no—
777C4×D47—44no—
778C4×D47—44no—
779C4×D47—44no—
780C4×D47—44no—
781C4×D47—44no—
782C4×D47—44no—
783C4×D47—44no—
784C4×D47—44no—
785C4×D47—44no—
786C4×D47—44no—
787Dic94—44no—
788Dic94—44no—
789Dic94—44no—
790C2×#2450—471nomaximal, Sylow
791C22×C47—22no—
792C22×C47—22no—
793C22×C47—22no—
794C22×C47—22no—
795C22×C47—22no—
796C22×C47—22no—
797C22×C47—22no—
798C22×C47—22no—
799C22×C47—22no—
800C22×C47—41no—
801C22×C47—41no—
802C22×C47—41no—
803C22×C47—41no—
804C22×C47C2×C22⋊Q814yes—
805C22×C47C23×D411yescharacteristic
806C22×C47C23×Q811yescharacteristic
807C22×C47C22×#4111yescharacteristic
808C22×C47C22×#4111yescharacteristic
809C22×C47C22×#4111yescharacteristic
810C22×C47C2×H(5,𝔽2)11yescharacteristic
811C22×C47C2×H(5,𝔽2)11yescharacteristic
812C2×D47—22no—
813C2×D47—22no—
814C2×D47—22no—
815C2×D47—22no—
816C2×D47—22no—
817C2×D47—22no—
818C2×D47—232no—
819C2×D47—22no—
820C2×D47—22no—
821C2×D47—22no—
822C2×D47—41no—
823C2×D47—41no—
824C2×D47—41no—
825C2×D47—41no—
826C2×D47—416no—
827C2×D47C2×C22⋊Q814yes—
828C2×D47C2×C22⋊Q814yes—
829C2×D47#52914yes—
830C2×D47#53814yes—
831C2×D47#54614yes—
832C2×D47#54614yes—
833C2×D47#55414yes—
834C2×D47#55414yes—
835C4×C47—22no—
836C4×C47—22no—
837C4×C47—22no—
838C4×C47—22no—
839C4×C47—22no—
840C4×C47—41no—
841C4×C47—41no—
842C4×C47—41no—
843C4×C47—41no—
844C4×C47—41no—
845C4×C47—41no—
846C4×C47—41no—
847C4×C47—41no—
848Dic47—22no—
849Dic47—22no—
850Dic47—22no—
851Dic47—22no—
852Dic47—22no—
853Dic47—41no—
854Dic47—41no—
855Dic47—41no—
856Dic47—41no—
857Dic47—41no—
858Dic47—41no—
859Dic47—41no—
860Dic47—41no—
861C22×C22⋊Q8—471no—
862C22×C4×D4—471no—
863#2450—471no—
864#2450—471no—
865#2450—471no—
866#2450—471no—
867#2450—471no—
868#2450—471no—
869#2450—471no—
870#2450—471no—
871#2450—471no—
872#2450—471no—
873#2450—471no—
874#2450—471no—
875#2450—471no—
876#2450—471no—
877#2450—471no—
878#2450D4711yescharacteristic, direct product factor
879C2×#400—471no—
880C2×#398—471no—
881C2×#396—471no—
882C2×#393—471no—
883C2×#391—471no—
884C2×#387—471no—
885C2×#386—471no—
886C2×#386—471no—
887C2×#385—471no—
888C2×#385—471no—
889C2×#385—471no—
890C2×#380—471no—
891C22×#95—471no—
892C2×C47—24no—
893C2×C47—42no—
894C2×C47C22×C22⋊Q811yescharacteristic
895C2×C47C2×#52911yescharacteristic
896C2×C47C2×#53811yescharacteristic
897C2×C47C2×#54611yescharacteristic
898C2×C47C2×#54611yescharacteristic
899C2×C47C2×#55411yescharacteristic
900C2×C47C2×#55411yescharacteristic
901D47—24no—
902D47—42no—
903D47#245018yesdirect product factor
904C23×Q8—471no—
905C23×D4—471no—
906C24×C4—471no—
907C24×C4—471no—
908C24×C4—471no—
909C24×C4—471no—
910C2×C22⋊Q8—471no—
911C2×C22⋊Q8—471no—
912C2×C22⋊Q8—471no—
913C2×C22⋊Q8—471no—
914C2×C22⋊Q8—471no—
915C2×C22⋊Q8—471no—
916C2×C22⋊Q8—471no—
917C2×C22⋊Q8—948no—
918C2×C22⋊Q8C2×D4711yescharacteristic, complemented
919C2×C4×D4—471no—
920C2×C4×D4—471no—
921C2×C4×D4—471no—
922C2×C4×D4—471no—
923C2×C4×D4—471no—
924C2×C4×D4—471no—
925C2×C4×D4—471no—
926C2×C4×D4—948no—
927C2×C4×D4C2×D4711yescharacteristic
928C22×C4⋊C4—471no—
929C22×C4⋊C4—471no—
930C22×C4⋊C4—471no—
931C22×C4⋊C4—471no—
932C22×C4⋊C4—471no—
933C22×C4⋊C4—471no—
934C22×C4⋊C4—471no—
935C22×C4⋊C4—471no—
936C22×C22⋊C4—471no—
937C22×C22⋊C4—471no—
938C22×C22⋊C4—471no—
939C22×C22⋊C4—471no—
940C22×C22⋊C4—471no—
941C22×C22⋊C4—471no—
942C22×C22⋊C4—471no—
943C22×C22⋊C4—471no—
944C22×C42—471no—
945#400—471no—
946#400—471no—
947#400—471no—
948#400—471no—
949#400—471no—
950#400—471no—
951#400—471no—
952#400C2×D4711yescharacteristic, complemented
953#398—471no—
954#398—471no—
955#398—471no—
956#398—471no—
957#398—471no—
958#398—471no—
959#398—471no—
960#398C2×D4711yescharacteristic, complemented
961#396—471no—
962#396—471no—
963#396—471no—
964#396—471no—
965#396—471no—
966#396—471no—
967#396—471no—
968#396C2×D4711yescharacteristic, complemented
969#393—471no—
970#393—471no—
971#393—471no—
972#393—471no—
973#393—471no—
974#393—471no—
975#393—471no—
976#393C2×D4711yescharacteristic, complemented
977#391—471no—
978#391—471no—
979#391—471no—
980#391—471no—
981#391—471no—
982#391—471no—
983#391—471no—
984#391C2×D4711yescharacteristic, complemented
985#387—471no—
986#387—471no—
987#387—471no—
988#387—471no—
989#387—471no—
990#387—471no—
991#387—471no—
992#387C2×D4711yescharacteristic, complemented
993#386—471no—
994#386—471no—
995#386—471no—
996#386—471no—
997#386—471no—
998#386—471no—
999#386—471no—
1000#386—471no—
1001#386—471no—
1002#386—471no—
1003#386—471no—
1004#386—471no—
1005#386—471no—
1006#386—471no—
1007#386C2×D4711yescharacteristic
1008#386C2×D4711yescharacteristic
1009#385—471no—
1010#385—471no—
1011#385—471no—
1012#385—471no—
1013#385—471no—
1014#385—471no—
1015#385—471no—
1016#385—471no—
1017#385—471no—
1018#385—471no—
1019#385—471no—
1020#385—471no—
1021#385—471no—
1022#385—471no—
1023#385—471no—
1024#385—471no—
1025#385—471no—
1026#385—471no—
1027#385—471no—
1028#385—471no—
1029#385—471no—
1030#385C2×D4711yescharacteristic, complemented
1031#385C2×D4711yescharacteristic, complemented
1032#385C2×D4711yescharacteristic, complemented
1033#380—471no—
1034#380—471no—
1035#380—471no—
1036#380—471no—
1037#380—471no—
1038#380—471no—
1039#380—471no—
1040#380C2×D4711yescharacteristic, complemented
1041C2×#95—471no—
1042C2×#95—471no—
1043C2×#95—471no—
1044C2×#95—471no—
1045C2×#95—471no—
1046C2×#95—471no—
1047C2×#95—471no—
1048C2×#95—471no—
1049C2×#95—471no—
1050C2×#95—471no—
1051C2×#95—471no—
1052C2×#95—471no—
1053C2×#95—471no—
1054C2×#95—471no—
1055C2×#95—471no—
1056C2×#95—471no—
1057C2×#95—471no—
1058C2×#95—471no—
1059C2×#95—471no—
1060C2×#95C2×D4711yescharacteristic, complemented
1061C47C2×#245011yescharacteristic, complemented, Sylow
1062C25—471no—
1063C25—471no—
1064C22×Q8—471no—
1065C22×Q8—471no—
1066C22×Q8—471no—
1067C22×Q8—944no—
1068C22×Q8—944no—
1069C22×Q8—1882no—
1070C22×Q8C22×D4711yescharacteristic
1071C22×D4—471no—
1072C22×D4—471no—
1073C22×D4—478no—
1074C22×D4—471no—
1075C22×D4—944no—
1076C22×D4—944no—
1077C22×D4C22×D4711yescharacteristic
1078C23×C4—471no—
1079C23×C4—471no—
1080C23×C4—471no—
1081C23×C4—471no—
1082C23×C4—471no—
1083C23×C4—471no—
1084C23×C4—471no—
1085C23×C4—471no—
1086C23×C4—471no—
1087C23×C4—471no—
1088C23×C4—471no—
1089C23×C4—471no—
1090C23×C4—471no—
1091C23×C4—471no—
1092C23×C4—471no—
1093C23×C4—471no—
1094C23×C4—471no—
1095C23×C4—471no—
1096C23×C4—471no—
1097C23×C4—471no—
1098C23×C4—471no—
1099C23×C4—471no—
1100C23×C4—471no—
1101C23×C4—471no—
1102C23×C4—471no—
1103C23×C4—944no—
1104C23×C4—944no—
1105C23×C4—944no—
1106C23×C4—944no—
1107C23×C4—944no—
1108C23×C4—944no—
1109C23×C4—944no—
1110C23×C4—1882no—
1111C23×C4—1882no—
1112C23×C4—1882no—
1113C23×C4—1882no—
1114C23×C4—1882no—
1115C23×C4C22×D4711yescharacteristic
1116C23×C4C22×D4711yescharacteristic
1117C23×C4C22×D4711yescharacteristic
1118C23×C4C22×D4711yescharacteristic
1119C22⋊Q8—24no—
1120C22⋊Q8—944no—
1121C22⋊Q8—944no—
1122C22⋊Q8—944no—
1123C22⋊Q8—944no—
1124C22⋊Q8—944no—
1125C22⋊Q8—944no—
1126C22⋊Q8—944no—
1127C4×D4—24no—
1128C4×D4—944no—
1129C4×D4—944no—
1130C4×D4—944no—
1131C4×D4—944no—
1132C4×D4—944no—
1133C4×D4—944no—
1134C4×D4—944no—
1135C2×C4⋊C4—471no—
1136C2×C4⋊C4—471no—
1137C2×C4⋊C4—471no—
1138C2×C4⋊C4—471no—
1139C2×C4⋊C4—471no—
1140C2×C4⋊C4—471no—
1141C2×C4⋊C4—471no—
1142C2×C4⋊C4—471no—
1143C2×C4⋊C4—471no—
1144C2×C4⋊C4—471no—
1145C2×C4⋊C4—471no—
1146C2×C4⋊C4—471no—
1147C2×C4⋊C4—471no—
1148C2×C4⋊C4—471no—
1149C2×C4⋊C4—471no—
1150C2×C4⋊C4—471no—
1151C2×C4⋊C4—471no—
1152C2×C4⋊C4—471no—
1153C2×C4⋊C4—471no—
1154C2×C4⋊C4—471no—
1155C2×C4⋊C4—471no—
1156C2×C4⋊C4—471no—
1157C2×C4⋊C4—471no—
1158C2×C4⋊C4—471no—
1159C2×C4⋊C4—944no—
1160C2×C4⋊C4—944no—
1161C2×C4⋊C4—944no—
1162C2×C4⋊C4—944no—
1163C2×C4⋊C4—944no—
1164C2×C4⋊C4—1882no—
1165C2×C4⋊C4—1882no—
1166C2×C4⋊C4—1882no—
1167C2×C4⋊C4C22×D4711yescharacteristic
1168C2×C4⋊C4C22×D4711yescharacteristic
1169C2×C4⋊C4C22×D4711yescharacteristic
1170C2×C4⋊C4C22×D4711yescharacteristic
1171C2×C4⋊C4C22×D4711yescharacteristic
1172C2×C4⋊C4C22×D4711yescharacteristic
1173C2×C4⋊C4C22×D4711yescharacteristic
1174C2×C4⋊C4C22×D4711yescharacteristic
1175C2×C22⋊C4—471no—
1176C2×C22⋊C4—471no—
1177C2×C22⋊C4—471no—
1178C2×C22⋊C4—478no—
1179C2×C22⋊C4—471no—
1180C2×C22⋊C4—471no—
1181C2×C22⋊C4—471no—
1182C2×C22⋊C4—471no—
1183C2×C22⋊C4—471no—
1184C2×C22⋊C4—471no—
1185C2×C22⋊C4—471no—
1186C2×C22⋊C4—471no—
1187C2×C22⋊C4—471no—
1188C2×C22⋊C4—471no—
1189C2×C22⋊C4—471no—
1190C2×C22⋊C4—471no—
1191C2×C22⋊C4—471no—
1192C2×C22⋊C4—471no—
1193C2×C22⋊C4—471no—
1194C2×C22⋊C4—471no—
1195C2×C22⋊C4—471no—
1196C2×C22⋊C4—471no—
1197C2×C22⋊C4—471no—
1198C2×C22⋊C4—471no—
1199C2×C22⋊C4—471no—
1200C2×C22⋊C4—944no—
1201C2×C22⋊C4—944no—
1202C2×C22⋊C4—944no—
1203C2×C22⋊C4—944no—
1204C2×C22⋊C4—1882no—
1205C2×C22⋊C4—1882no—
1206C2×C22⋊C4—1882no—
1207C2×C22⋊C4C22×D4711yescharacteristic
1208C2×C22⋊C4C22×D4711yescharacteristic
1209C2×C22⋊C4C22×D4711yescharacteristic
1210C2×C22⋊C4C22×D4711yescharacteristic
1211C2×C22⋊C4C22×D4711yescharacteristic
1212C2×C22⋊C4C22×D4711yescharacteristic
1213C2×C22⋊C4C22×D4711yescharacteristic
1214C2×C22⋊C4C22×D4711yescharacteristic
1215C2×C42—471no—
1216C2×C42—471no—
1217C2×C42—471no—
1218C2×C42—944no—
1219C2×C42C22×D4711yescharacteristic
1220#95—471no—
1221#95—471no—
1222#95—471no—
1223#95—471no—
1224#95—471no—
1225#95—471no—
1226#95—471no—
1227#95—471no—
1228#95—471no—
1229#95—471no—
1230#95—471no—
1231#95—471no—
1232#95—471no—
1233#95—471no—
1234#95—471no—
1235#95—471no—
1236#95—471no—
1237#95—471no—
1238#95—471no—
1239#95—471no—
1240#95—471no—
1241#95—471no—
1242#95—471no—
1243#95—471no—
1244#95—471no—
1245#95—471no—
1246#95—471no—
1247#95—471no—
1248#95—471no—
1249#95—471no—
1250#95—471no—
1251#95—471no—
1252#95—471no—
1253#95—471no—
1254#95—471no—
1255#95—471no—
1256#95C22×D4711yescharacteristic
1257#95C22×D4711yescharacteristic
1258#95C22×D4711yescharacteristic
1259#95C22×D4711yescharacteristic
1260#95C22×D4711yescharacteristic
1261#95C22×D4711yescharacteristic
1262#95C22×D4711yescharacteristic
1263#95C22×D4711yescharacteristic
1264#95C22×D4711yescharacteristic
1265#95C22×D4711yescharacteristic
1266#95C22×D4711yescharacteristic
1267#95C22×D4711yescharacteristic
1268C24—471no—
1269C24—474no—
1270C24—474no—
1271C24—474no—
1272C24—471no—
1273C24—474no—
1274C24—471no—
1275C24—942no—
1276C24—942no—
1277C24—942no—
1278C24—942no—
1279C24—942no—
1280C24—942no—
1281C24—942no—
1282C24—942no—
1283C24—942no—
1284C24—942no—
1285C24C23×D4711yescharacteristic
1286C24C23×D4711yescharacteristic
1287C2×Q8—22no—
1288C2×Q8—22no—
1289C2×Q8—41no—
1290C2×Q8—942no—
1291C2×Q8—942no—
1292C2×Q8—942no—
1293C2×Q8—942no—
1294C2×Q8—942no—
1295C2×Q8—942no—
1296C2×Q8—1881no—
1297C2×Q8—1881no—
1298C2×Q8—1881no—
1299C2×Q8—18816no—
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—474no—
1303C2×D4—474no—
1304C2×D4—474no—
1305C2×D4—942no—
1306C2×D4—942no—
1307C2×D4—9432no—
1308C2×D4—942no—
1309C2×D4—942no—
1310C2×D4—942no—
1311C2×D4—942no—
1312C2×D4Q8×D4714yescomplemented
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—22no—
1319C22×C4—22no—
1320C22×C4—41no—
1321C22×C4—41no—
1322C22×C4—41no—
1323C22×C4—41no—
1324C22×C4—41no—
1325C22×C4—471no—
1326C22×C4—471no—
1327C22×C4—471no—
1328C22×C4—471no—
1329C22×C4—471no—
1330C22×C4—474no—
1331C22×C4—474no—
1332C22×C4—474no—
1333C22×C4—474no—
1334C22×C4—474no—
1335C22×C4—471no—
1336C22×C4—471no—
1337C22×C4—471no—
1338C22×C4—471no—
1339C22×C4—471no—
1340C22×C4—471no—
1341C22×C4—471no—
1342C22×C4—471no—
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—942no—
1367C22×C4—942no—
1368C22×C4—942no—
1369C22×C4—942no—
1370C22×C4—942no—
1371C22×C4—942no—
1372C22×C4—942no—
1373C22×C4—942no—
1374C22×C4—942no—
1375C22×C4—942no—
1376C22×C4—942no—
1377C22×C4—942no—
1378C22×C4—942no—
1379C22×C4—942no—
1380C22×C4—942no—
1381C22×C4—942no—
1382C22×C4—942no—
1383C22×C4—942no—
1384C22×C4—942no—
1385C22×C4—942no—
1386C22×C4—942no—
1387C22×C4—942no—
1388C22×C4—942no—
1389C22×C4—942no—
1390C22×C4—942no—
1391C22×C4—942no—
1392C22×C4—942no—
1393C22×C4—942no—
1394C22×C4—942no—
1395C22×C4—942no—
1396C22×C4—942no—
1397C22×C4—942no—
1398C22×C4—1881no—
1399C22×C4—1881no—
1400C22×C4—1881no—
1401C22×C4—1881no—
1402C22×C4—1881no—
1403C22×C4—1881no—
1404C22×C4—1881no—
1405C22×C4—1881no—
1406C22×C4—1881no—
1407C22×C4—1881no—
1408C22×C4—18816no—
1409C22×C4—18816no—
1410C22×C4—18816no—
1411C22×C4—18816no—
1412C22×C4—1881no—
1413C22×C4—1881no—
1414C22×C4—1881no—
1415C22×C4—1881no—
1416C22×C4—1881no—
1417C22×C4C23×D4711yescharacteristic
1418C22×C4C23×D4711yescharacteristic
1419C22×C4C23×D4711yescharacteristic
1420C22×C4C23×D4711yescharacteristic
1421C22×C4C23×D4711yescharacteristic
1422C22×C4C23×D4711yescharacteristic
1423C22×C4C23×D4711yescharacteristic
1424C22×C4C23×D4711yescharacteristic
1425C22×C4C23×D4711yescharacteristic
1426C22×C4C23×D4711yescharacteristic
1427C22×C4C23×D4711yescharacteristic
1428C22×C4C23×D4711yescharacteristic
1429C22×C4C23×D4711yescharacteristic
1430C4⋊C4—22no—
1431C4⋊C4—22no—
1432C4⋊C4—22no—
1433C4⋊C4—22no—
1434C4⋊C4—22no—
1435C4⋊C4—41no—
1436C4⋊C4—41no—
1437C4⋊C4—41no—
1438C4⋊C4—942no—
1439C4⋊C4—942no—
1440C4⋊C4—942no—
1441C4⋊C4—942no—
1442C4⋊C4—942no—
1443C4⋊C4—942no—
1444C4⋊C4—942no—
1445C4⋊C4—942no—
1446C4⋊C4—942no—
1447C4⋊C4—942no—
1448C4⋊C4—942no—
1449C4⋊C4—942no—
1450C4⋊C4—942no—
1451C4⋊C4—942no—
1452C4⋊C4—942no—
1453C4⋊C4—1881no—
1454C4⋊C4—1881no—
1455C4⋊C4—1881no—
1456C4⋊C4—1881no—
1457C4⋊C4—1881no—
1458C4⋊C4—1881no—
1459C4⋊C4—1881no—
1460C4⋊C4—1881no—
1461C4⋊C4—1881no—
1462C22⋊C4—22no—
1463C22⋊C4—22no—
1464C22⋊C4—22no—
1465C22⋊C4—22no—
1466C22⋊C4—41no—
1467C22⋊C4—41no—
1468C22⋊C4—41no—
1469C22⋊C4—474no—
1470C22⋊C4—474no—
1471C22⋊C4—474no—
1472C22⋊C4—942no—
1473C22⋊C4—942no—
1474C22⋊C4—942no—
1475C22⋊C4—942no—
1476C22⋊C4—942no—
1477C22⋊C4—942no—
1478C22⋊C4—942no—
1479C22⋊C4—942no—
1480C22⋊C4—942no—
1481C22⋊C4—942no—
1482C22⋊C4—942no—
1483C22⋊C4—942no—
1484C22⋊C4—1881no—
1485C22⋊C4—1881no—
1486C22⋊C4—1881no—
1487C22⋊C4—1881no—
1488C22⋊C4—1881no—
1489C22⋊C4—1881no—
1490C22⋊C4—1881no—
1491C22⋊C4—1881no—
1492C22⋊C4—1881no—
1493C22⋊C4D4×D4714yes—
1494C42—22no—
1495C42—942no—
1496C42—942no—
1497C42—942no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—472no—
1509C23—472no—
1510C23—472no—
1511C23—472no—
1512C23—472no—
1513C23—472no—
1514C23—472no—
1515C23—4716no—
1516C23—472no—
1517C23—472no—
1518C23—472no—
1519C23—472no—
1520C23—948no—
1521C23—948no—
1522C23—948no—
1523C23—948no—
1524C23—948no—
1525C23—948no—
1526C23—948no—
1527C23—948no—
1528C23—948no—
1529C23—941no—
1530C23—941no—
1531C23—941no—
1532C23—941no—
1533C23—941no—
1534C23—941no—
1535C23—941no—
1536C23—941no—
1537C23—941no—
1538C23—941no—
1539C23—1884no—
1540C23—1884no—
1541C23—1884no—
1542C23—1884no—
1543C23C2×D4×D4712yes—
1544C23C2×Q8×D4712yes—
1545C23C2×Q8×D4712yes—
1546C23#41×D4712yes—
1547C23C24×D4711yescharacteristic
1548Q8—44no—
1549Q8—1884no—
1550Q8—1884no—
1551Q8—1884no—
1552D4—28no—
1553D4—948no—
1554D4—948no—
1555D4—948no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—44no—
1591C2×C4—44no—
1592C2×C4—44no—
1593C2×C4—44no—
1594C2×C4—472no—
1595C2×C4—472no—
1596C2×C4—472no—
1597C2×C4—472no—
1598C2×C4—472no—
1599C2×C4—948no—
1600C2×C4—948no—
1601C2×C4—948no—
1602C2×C4—948no—
1603C2×C4—948no—
1604C2×C4—941no—
1605C2×C4—941no—
1606C2×C4—941no—
1607C2×C4—941no—
1608C2×C4—941no—
1609C2×C4—941no—
1610C2×C4—941no—
1611C2×C4—941no—
1612C2×C4—941no—
1613C2×C4—941no—
1614C2×C4—941no—
1615C2×C4—941no—
1616C2×C4—941no—
1617C2×C4—941no—
1618C2×C4—941no—
1619C2×C4—941no—
1620C2×C4—941no—
1621C2×C4—941no—
1622C2×C4—941no—
1623C2×C4—941no—
1624C2×C4—941no—
1625C2×C4—941no—
1626C2×C4—941no—
1627C2×C4—941no—
1628C2×C4—941no—
1629C2×C4—941no—
1630C2×C4—941no—
1631C2×C4—941no—
1632C2×C4—941no—
1633C2×C4—941no—
1634C2×C4—941no—
1635C2×C4—941no—
1636C2×C4—941no—
1637C2×C4—941no—
1638C2×C4—1884no—
1639C2×C4—1884no—
1640C2×C4—1884no—
1641C2×C4—1884no—
1642C2×C4—1884no—
1643C2×C4—1884no—
1644C2×C4—1884no—
1645C2×C4—1884no—
1646C2×C4—1884no—
1647C2×C4—1884no—
1648C2×C4—1884no—
1649C2×C4—1884no—
1650C2×C4—1884no—
1651C2×C4—1884no—
1652C2×C4—1884no—
1653C2×C4—1884no—
1654C2×C4—1884no—
1655C2×C4—1884no—
1656C2×C4—1884no—
1657C2×C4—1884no—
1658C2×C4C2×D4×D4712yes—
1659C2×C4C2×D4×D4712yes—
1660C2×C4C2×Q8×D4712yes—
1661C2×C4#41×D4712yes—
1662C2×C4#41×D4712yes—
1663C22—22no—
1664C22—22no—
1665C22—22no—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—22no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—474no—
1677C22—474no—
1678C22—474no—
1679C22—474no—
1680C22—474no—
1681C22—474no—
1682C22—474no—
1683C22—474no—
1684C22—9432no—
1685C22—942no—
1686C22—942no—
1687C22—942no—
1688C22—942no—
1689C22—942no—
1690C22—942no—
1691C22—942no—
1692C22—942no—
1693C22—942no—
1694C22—18816no—
1695C22—1881no—
1696C22—1881no—
1697C22—1881no—
1698C22—1881no—
1699C22C22⋊Q8×D4714yes—
1700C22C22×D4×D4711yescharacteristic
1701C22C22×Q8×D4711yescharacteristic
1702C22C2×#41×D4711yescharacteristic
1703C22C2×#41×D4711yescharacteristic
1704C22C2×#41×D4711yescharacteristic
1705C22H(5,𝔽2)×D4711yescharacteristic
1706C22H(5,𝔽2)×D4711yescharacteristic
1707C4—22no—
1708C4—22no—
1709C4—22no—
1710C4—22no—
1711C4—22no—
1712C4—41no—
1713C4—41no—
1714C4—41no—
1715C4—41no—
1716C4—41no—
1717C4—41no—
1718C4—41no—
1719C4—41no—
1720C4—942no—
1721C4—942no—
1722C4—942no—
1723C4—942no—
1724C4—942no—
1725C4—1881no—
1726C4—1881no—
1727C4—1881no—
1728C4—1881no—
1729C4—1881no—
1730C4—1881no—
1731C4—1881no—
1732C4—1881no—
1733C2—24no—
1734C2—42no—
1735C2—478no—
1736C2—944no—
1737C2—1882no—
1738C2C2×C22⋊Q8×D4711yescharacteristic
1739C2#529×D4711yescharacteristic
1740C2#538×D4711yescharacteristic
1741C2#546×D4711yescharacteristic
1742C2#546×D4711yescharacteristic
1743C2#554×D4711yescharacteristic
1744C2#554×D4711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2450C2
prime radicalC22×D4×D47C22
hypercenter#2450D47
hypocenterC47C2×#2450
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2450

Complements

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

NH ≅ G/Ntype
1. C2×C22⋊Q8×D47C2semidirect
3. #20247219C2semidirect
4. #20247218C2semidirect
5. #20247217C2semidirect
6. #20247216C2semidirect
7. #20247215C2semidirect
8. #20247214C2semidirect
9. #20247213C2semidirect
10. #20247212C2semidirect
11. #20247211C2semidirect
12. #20247210C2semidirect
13. #20247209C2semidirect
14. #20247208C2semidirect
15. #20247207C2semidirect
16. #20247206C2semidirect
17. #20247205C2semidirect
18. #400×D47C2semidirect
19. #398×D47C2semidirect
20. #396×D47C2semidirect
21. #393×D47C2semidirect
22. #391×D47C2semidirect
23. #387×D47C2semidirect
26. #385×D47C2semidirect
27. #385×D47C2semidirect
28. #385×D47C2semidirect
29. #380×D47C2semidirect
30. C2×#95×D47C2semidirect
31. C47×#2450C2semidirect
38. C2×#13094004C22semidirect
39. C2×#13094003C22semidirect
40. C2×#13094002C22semidirect
41. C2×#13094002C22semidirect
42. C2×#13094001C22semidirect
43. C2×#13094001C22semidirect
44. C2×#13094000C22semidirect
71. #15689065C22semidirect
72. #15689065C22semidirect
73. #15689064C22semidirect
74. #15689064C22semidirect
75. #15689063C22semidirect
76. #15689062C22semidirect
77. #15689061C22semidirect
78. #15689057C22semidirect
79. #15689057C22semidirect
80. #15689056C22semidirect
81. #15689056C22semidirect
82. #15689055C22semidirect
83. #15689054C22semidirect
84. #15689053C22semidirect
85. #15689047C22semidirect
86. #15689046C22semidirect
87. #15689046C22semidirect
88. #15689046C22semidirect
89. #15689045C22semidirect
90. #15689045C22semidirect
91. #15689045C22semidirect
92. #15689036C22semidirect
93. #15689036C22semidirect
94. #15689036C22semidirect
95. #15689035C22semidirect
96. #15689035C22semidirect
97. #15689035C22semidirect
98. #15689034C22semidirect
99. #15689030C22semidirect
100. #15689029C22semidirect
101. #15689028C22semidirect
102. #15689027C22semidirect
103. #15689027C22semidirect
104. #15689027C22semidirect
105. #15689027C22semidirect
106. #15689010C22semidirect
107. #15689009C22semidirect
108. #15689008C22semidirect
109. #15689007C22semidirect
110. #15689006C22semidirect
111. #15689005C22semidirect
112. #15689004C22semidirect
127. #15688998C22semidirect
128. #15688998C22semidirect
129. #15688998C22semidirect
130. #15688997C22semidirect
131. #15688997C22semidirect
132. #15688997C22semidirect
133. #15688997C22semidirect
134. #15688997C22semidirect
135. #15688997C22semidirect
136. #15688996C22semidirect
137. #15688996C22semidirect
138. #15688996C22semidirect
139. #15688995C22semidirect
140. #15688995C22semidirect
141. #15688995C22semidirect
142. #15688994C22semidirect
143. #15688994C22semidirect
144. #15688994C22semidirect
145. #15688994C22semidirect
146. #15688994C22semidirect
147. #15688994C22semidirect
148. #15688983C22semidirect
149. #15688982C22semidirect
150. #15688982C22semidirect
151. #15688981C22semidirect
152. #15688981C22semidirect
153. #15688980C22semidirect
154. #15688980C22semidirect
155. C2×C47⋊#95C22semidirect
156. C2×C47⋊#95C22semidirect
157. C2×C47⋊#95C22semidirect
170. #95×D47C22semidirect
171. #95×D47C22semidirect
172. #95×D47C22semidirect
173. #95×D47C22semidirect
174. C2×C22⋊Q8×C47C22semidirect
176. C47×#400C22semidirect
177. C47×#398C22semidirect
178. C47×#396C22semidirect
179. C47×#393C22semidirect
180. C47×#391C22semidirect
181. C47×#387C22semidirect
184. C47×#385C22semidirect
185. C47×#385C22semidirect
186. C47×#385C22semidirect
187. C47×#380C22semidirect
188. C2×#95×C47C22semidirect
202. C2×D4×D47Q8semidirect
419. C2×D4×C47C2×Q8semidirect
449. C2×C22⋊D47C2×Q8semidirect
450. C2×C22⋊D47C2×Q8semidirect
480. C2×D188C2×Q8semidirect
878. #2450D47direct (N × H)
903. D47#2450direct (N × H)
918. C2×C22⋊Q8C2×D47semidirect
952. #400C2×D47semidirect
960. #398C2×D47semidirect
968. #396C2×D47semidirect
976. #393C2×D47semidirect
984. #391C2×D47semidirect
992. #387C2×D47semidirect
1030. #385C2×D47semidirect
1031. #385C2×D47semidirect
1032. #385C2×D47semidirect
1040. #380C2×D47semidirect
1060. C2×#95C2×D47semidirect
1061. C47C2×#2450semidirect
1312. C2×D4Q8×D47semidirect

Maximal subgroups

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

subgroupindex
C2×C22⋊Q8×D472
C2×C4×D4×D472
#202472192
#202472182
#202472172
#202472162
#202472152
#202472142
#202472132
#202472122
#202472112
#202472102
#202472092
#202472082
#202472072
#202472062
#202472052
#400×D472
#398×D472
#396×D472
#393×D472
#391×D472
#387×D472
#386×D472
#385×D472
#380×D472
C2×#95×D472
C47×#24502
C2×#245047