Finite Group Databasebeta

← #26388966

Subgroups — #26388966

Order 12032.

2878 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×D4×D47C211yesmaximal, characteristic, complemented
2#20251700C211yesmaximal, characteristic, complemented
3#20251693C211yesmaximal, characteristic, complemented
4#20251677C211yesmaximal, characteristic, complemented
5#20251672C211yesmaximal, characteristic, complemented
6#20249306C211yesmaximal, characteristic, complemented
7#20249285C211yesmaximal, characteristic, complemented
8#20249257C211yesmaximal, characteristic, complemented
9#20249227C211yesmaximal, characteristic, complemented
10#20247630C211yesmaximal, characteristic, complemented
11#20247525C211yesmaximal, characteristic, complemented
12#20247420C211yesmaximal, characteristic, complemented
13#20247381C211yesmaximal, characteristic, complemented
14#20247336C211yesmaximal, characteristic, complemented
15#20247267C211yesmaximal, characteristic, complemented
16#20247194C211yesmaximal, characteristic, complemented
17#20247193C211yesmaximal, characteristic, complemented
18#20247119C211yesmaximal, characteristic, complemented
19#20247051C211yesmaximal, characteristic, complemented
20#20246935C211yesmaximal, characteristic, complemented
21#20246861C211yesmaximal, characteristic, complemented
22#20246847C211yesmaximal, characteristic, complemented
23#20246780C211yesmaximal, characteristic, complemented
24#20246759C211yesmaximal, characteristic
25#20246712C211yesmaximal, characteristic, complemented
26#20246086C211yesmaximal, characteristic, complemented
27#20246057C211yesmaximal, characteristic, complemented
28#20246021C211yesmaximal, characteristic, complemented
29C4×#13093992C211yesmaximal, characteristic, complemented
30C2×#15688994C211yesmaximal, characteristic, complemented
31C2×C47×#539C211yesmaximal, characteristic, complemented
32C22×D4×D47C2211yescharacteristic
33C23×C4×D47C2211yescharacteristic
34C23×C4×D47C2211yescharacteristic
35C2×#13094007C2211yescharacteristic
36C2×#13094005C2211yescharacteristic, complemented
37C2×#13094000C2211yescharacteristic
38C2×#13094000C2211yescharacteristic, complemented
39C2×#13093996C2211yescharacteristic
40C2×#13093992C2211yescharacteristic
41C2×#13093992C2211yescharacteristic
42C2×C4×D188C2211yescharacteristic
43C2×D4×Dic47C2211yescharacteristic
44C2×#13093986C2211yescharacteristic
45C2×C4×C22⋊D47C2211yescharacteristic
46C2×C4×C22⋊D47C2211yescharacteristic
47C2×C4×C22⋊D47C2211yescharacteristic
48C2×C4×C22⋊D47C2211yescharacteristic, complemented
49C2×(C22⋊D47)⋊C4C2211yescharacteristic
50C2×(C22⋊D47)⋊C4C2211yescharacteristic
51C4×D4×D47—28no—
52C22×Dic47⋊C4C2211yescharacteristic, complemented
53C2×C4⋊C4×D47C2211yescharacteristic
54C22×(C2×D47)⋊C4C2211yescharacteristic
55C22×(C2×D47)⋊C4C2211yescharacteristic
56C2×C22⋊C4×D47C2211yescharacteristic
57C2×C22⋊C4×D47C2211yescharacteristic
58C2×C42×D47C2211yescharacteristic
59#15689062C2211yescharacteristic, complemented
60#15689059C2211yescharacteristic, complemented
61#15689058C2211yescharacteristic, complemented
62#15689058C2211yescharacteristic, complemented
63#15689056C2211yescharacteristic, complemented
64#15689054C2211yescharacteristic, complemented
65#15689053C2211yescharacteristic, complemented
66#15689053C2211yescharacteristic, complemented
67#15689051C2211yescharacteristic, complemented
68#15689051C2211yescharacteristic, complemented
69#15689051C2211yescharacteristic, complemented
70#15689049C2211yescharacteristic, complemented
71#15689049C2211yescharacteristic, complemented
72#15689049C2211yescharacteristic, complemented
73#15689046C2211yescharacteristic, complemented
74#15689045C2211yescharacteristic, complemented
75#15689045C2211yescharacteristic, complemented
76#15689045C2211yescharacteristic, complemented
77#15689042C2211yescharacteristic, complemented
78#15689040C2211yescharacteristic
79#15689040C2211yescharacteristic
80#15689040C2211yescharacteristic
81#15689039C2211yescharacteristic, complemented
82#15689039C2211yescharacteristic, complemented
83#15689039C2211yescharacteristic, complemented
84#15689038C2211yescharacteristic
85#15689038C2211yescharacteristic
86#15689038C2211yescharacteristic
87#15689037C2211yescharacteristic, complemented
88#15689034C2211yescharacteristic, complemented
89#15689032C2211yescharacteristic
90#15689031C2211yescharacteristic
91#15689019C2211yescharacteristic, complemented
92#15689019C2211yescharacteristic, complemented
93#15689018C2211yescharacteristic, complemented
94#15689018C2211yescharacteristic, complemented
95#15689016C2211yescharacteristic, complemented
96#15689016C2211yescharacteristic, complemented
97#15689014C2211yescharacteristic, complemented
98#15689013C2211yescharacteristic, complemented
99#15689013C2211yescharacteristic, complemented
100#15689011C2211yescharacteristic, complemented
101#15689011C2211yescharacteristic, complemented
102#15689011C2211yescharacteristic, complemented
103#15689009C2211yescharacteristic, complemented
104#15689009C2211yescharacteristic, complemented
105#15689007C2211yescharacteristic, complemented
106#15689004C2211yescharacteristic, complemented
107#15689004C2211yescharacteristic, complemented
108#15689004C2211yescharacteristic, complemented
109#15689004C2211yescharacteristic, complemented
110#15689004C2211yescharacteristic, complemented
111#15689004C2211yescharacteristic, complemented
112#15689004C2211yescharacteristic, complemented
113#15689003C2211yescharacteristic
114#15689003C2211yescharacteristic
115#15689003C2211yescharacteristic, complemented
116#15689003C2211yescharacteristic, complemented
117#15689002C2211yescharacteristic
118#15689002C2211yescharacteristic, complemented
119#15689000C2211yescharacteristic
120#15688999C2211yescharacteristic
121#15688999C2211yescharacteristic
122#15688999C2211yescharacteristic
123#15688999C2211yescharacteristic
124#15688999C2211yescharacteristic, complemented
125#15688999C2211yescharacteristic, complemented
126#15688999C2211yescharacteristic, complemented
127#15688998C2211yescharacteristic, complemented
128#15688998C2211yescharacteristic, complemented
129#15688996C2211yescharacteristic, complemented
130#15688996C2211yescharacteristic, complemented
131#15688995C2211yescharacteristic, complemented
132#15688995C2211yescharacteristic, complemented
133#15688995C2211yescharacteristic, complemented
134#15688994C2211yescharacteristic
135#15688994C2211yescharacteristic
136#15688994C2211yescharacteristic
137#15688994C2211yescharacteristic
138#15688994C2211yescharacteristic
139#15688994C2211yescharacteristic
140#15688994C2211yescharacteristic
141#15688994C2211yescharacteristic
142#15688994C2211yescharacteristic
143#15688994C2211yescharacteristic
144#15688994C2211yescharacteristic, complemented
145#15688994C2211yescharacteristic, complemented
146#15688994C2211yescharacteristic, complemented
147#15688994C2211yescharacteristic, complemented
148#15688994C2211yescharacteristic, complemented
149#15688994C2211yescharacteristic, complemented
150#15688994C2211yescharacteristic, complemented
151#15688994C2211yescharacteristic, complemented
152#15688994C2211yescharacteristic, complemented
153#15688991C2211yescharacteristic, complemented
154#15688989C2211yescharacteristic, complemented
155#15688986C2211yescharacteristic, complemented
156#15688986C2211yescharacteristic, complemented
157#15688984C2211yescharacteristic, complemented
158#15688983C2211yescharacteristic, complemented
159#15688981C2211yescharacteristic, complemented
160#15688980C2211yescharacteristic
161#15688980C2211yescharacteristic
162#15688980C2211yescharacteristic
163#15688980C2211yescharacteristic, complemented
164#15688978C2211yescharacteristic
165#15688978C2211yescharacteristic
166#15688978C2211yescharacteristic
167#15688978C2211yescharacteristic
168C4×(C2×D47)⋊C4C2211yescharacteristic
169C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
170C4×C22⋊Dic47C2211yescharacteristic, complemented
171C2×C47⋊#95C2211yescharacteristic, complemented
172C2×C47⋊#95C2211yescharacteristic, complemented
173C47×#539—28no—
174C2×#126×C47C2211yescharacteristic, complemented
175C2×#126×C47C2211yescharacteristic, complemented
176C2×#125×C47C2211yescharacteristic, complemented
177C2×#125×C47C2211yescharacteristic, complemented
178C2×#123×C47C2211yescharacteristic
179C2×#123×C47C2211yescharacteristic, complemented
180C2×#123×C47C2211yescharacteristic, complemented
181C2×#123×C47C2211yescharacteristic, complemented
182C2×C22⋊Q8×C47C2211yescharacteristic, complemented
183C2×C22⋊Q8×C47C2211yescharacteristic, complemented
184C2×C22⋊Q8×C47C2211yescharacteristic, complemented
185C2×#121×C47C2211yescharacteristic
186C2×C4×D4×C47C2211yescharacteristic
187C2×C4×D4×C47C2211yescharacteristic, complemented
188C22×C4⋊C4×C47C2211yescharacteristic, complemented
189C24×D47C2311yescharacteristic
190C24×D47C2311yescharacteristic
191C22×D188C2311yescharacteristic
192C22×C22⋊D47C2311yescharacteristic
193C22×C22⋊D47C2311yescharacteristic
194C22×C22⋊D47C2311yescharacteristic
195C22×C22⋊D47C2311yescharacteristic
196C22×C22⋊D47C2311yescharacteristic
197C2×D4×D47—24no—
198C2×D4×D47—24no—
199C2×D4×D47—24no—
200C23×Dic47C2311yescharacteristic
201C23×Dic47C2311yescharacteristic
202C23×Dic47C2311yescharacteristic
203C23×Dic47C2311yescharacteristic
204C22×C4×D47—24no—
205C22×C4×D47—24no—
206C22×C4×D47—42no—
207C22×C4×D47—42no—
208C22×C4×D47—42no—
209C22×C4×D47—42no—
210C22×C4×D47C2311yescharacteristic
211C22×C4×D47C2311yescharacteristic
212C22×C4×D47C2311yescharacteristic
213C22×C4×D47C2311yescharacteristic
214C22×C4×D47C2311yescharacteristic
215C22×C4×D47C2311yescharacteristic
216C22×C4×D47C2311yescharacteristic
217C22×C4×D47C2311yescharacteristic
218C22×C4×D47C2311yescharacteristic
219#13094007—24no—
220#13094005—42no—
221#13094000—42no—
222#13094000—42no—
223#13093996—24no—
224#13093992—24no—
225#13093992—42no—
226C4×D188—24no—
227D4×Dic47—24no—
228#13093986—24no—
229C4×C22⋊D47—24no—
230C4×C22⋊D47—24no—
231C4×C22⋊D47—42no—
232C4×C22⋊D47—42no—
233(C22⋊D47)⋊C4—24no—
234(C22⋊D47)⋊C4—24no—
235C2×C4⋊Dic47C2311yescharacteristic
236C2×C4⋊Dic47C2311yescharacteristic
237C2×C4⋊Dic47C2311yescharacteristic
238C2×C4⋊Dic47C2311yescharacteristic
239C2×C4⋊Dic47C2311yescharacteristic
240C2×Dic47⋊C4—42no—
241C2×Dic47⋊C4C2311yescharacteristic
242C2×Dic47⋊C4C2311yescharacteristic
243C2×Dic47⋊C4C2311yescharacteristic
244C2×Dic47⋊C4C2311yescharacteristic
245C2×Dic47⋊C4C2311yescharacteristic
246C2×Dic47⋊C4C2311yescharacteristic
247C2×Dic47⋊C4C2311yescharacteristic
248C2×Dic47⋊C4C2311yescharacteristic
249C2×Dic47⋊C4C2311yescharacteristic
250C2×Dic47⋊C4C2311yescharacteristic
251C2×Dic47⋊C4C2311yescharacteristic
252C2×Dic47⋊C4C2311yescharacteristic
253C2×Dic47⋊C4C2311yescharacteristic
254C2×Dic47⋊C4C2311yescharacteristic
255C2×Dic47⋊C4C2311yescharacteristic
256C4⋊C4×D47—24no—
257C2×C22⋊Dic47C2311yescharacteristic
258C2×C22⋊Dic47C2311yescharacteristic
259C2×C22⋊Dic47C2311yescharacteristic
260C2×C22⋊Dic47C2311yescharacteristic
261C2×C22⋊Dic47C2311yescharacteristic
262C2×C22⋊Dic47C2311yescharacteristic
263C2×C22⋊Dic47C2311yescharacteristic
264C2×C22⋊Dic47C2311yescharacteristic
265C2×C22⋊Dic47C2311yescharacteristic
266C2×C22⋊Dic47C2311yescharacteristic
267C2×C22⋊Dic47C2311yescharacteristic
268C2×C22⋊Dic47C2311yescharacteristic
269C2×C22⋊Dic47C2311yescharacteristic
270C2×(C2×D47)⋊C4—24no—
271C2×(C2×D47)⋊C4—42no—
272C2×(C2×D47)⋊C4C2311yescharacteristic
273C2×(C2×D47)⋊C4C2311yescharacteristic
274C2×(C2×D47)⋊C4C2311yescharacteristic
275C2×(C2×D47)⋊C4C2311yescharacteristic
276C2×(C2×D47)⋊C4C2311yescharacteristic
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
295C2×(C2×D47)⋊C4C2311yescharacteristic
296C2×(C2×D47)⋊C4C2311yescharacteristic
297C22⋊C4×D47—24no—
298C22⋊C4×D47—24no—
299C2×C4×Dic47C2311yescharacteristic
300C2×C4×Dic47C2311yescharacteristic
301C2×C4×Dic47C2311yescharacteristic
302C2×C4×Dic47C2311yescharacteristic
303C2×C4×Dic47C2311yescharacteristic
304C42×D47—24no—
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
334C47⋊#95C2311yescharacteristic
335C47⋊#95C2311yescharacteristic
336C47⋊#95C2311yescharacteristic
337C47⋊#95C2311yescharacteristic
338C47⋊#95C2311yescharacteristic
339C47⋊#95C2311yescharacteristic
340C47⋊#95C2311yescharacteristic
341C22×Q8×C47C2311yescharacteristic
342C22×D4×C47C2311yescharacteristic
343C22×D4×C47C2311yescharacteristic
344C22×D4×C47C2311yescharacteristic
345C23×C4×C47C2311yescharacteristic
346C23×C4×C47C2311yescharacteristic
347C23×C4×C47C2311yescharacteristic
348C23×C4×C47C2311yescharacteristic
349C23×C4×C47C2311yescharacteristic
350#126×C47—24no—
351#126×C47—24no—
352#125×C47—24no—
353#125×C47—24no—
354#123×C47—24no—
355#123×C47—24no—
356#123×C47—24no—
357#123×C47—24no—
358C22⋊Q8×C47—24no—
359C22⋊Q8×C47—24no—
360C22⋊Q8×C47—24no—
361#121×C47—24no—
362C4×D4×C47—24no—
363C4×D4×C47D418yescomplemented
364C2×C4⋊C4×C47—24no—
365C2×C4⋊C4×C47C2311yescharacteristic
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×C4⋊C4×C47C2311yescharacteristic
375C2×C4⋊C4×C47C2311yescharacteristic
376C2×C4⋊C4×C47C2311yescharacteristic
377C2×C4⋊C4×C47C2311yescharacteristic
378C2×C4⋊C4×C47C2311yescharacteristic
379C2×C22⋊C4×C47C2311yescharacteristic
380C2×C22⋊C4×C47C2311yescharacteristic
381C2×C22⋊C4×C47C2311yescharacteristic
382C2×C22⋊C4×C47C2311yescharacteristic
383C2×C22⋊C4×C47C2311yescharacteristic
384C2×C22⋊C4×C47C2311yescharacteristic
385C2×C22⋊C4×C47C2311yescharacteristic
386C2×C22⋊C4×C47C2311yescharacteristic
387C2×C22⋊C4×C47C2311yescharacteristic
388C2×C22⋊C4×C47C2311yescharacteristic
389C2×C42×C47C2311yescharacteristic
390C2×C42×C47C2311yescharacteristic
391C24×C47C2411yescharacteristic
392C24×C47C2411yescharacteristic
393C24×C47C2411yescharacteristic
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—41no—
404C23×D47—41no—
405C23×D47—41no—
406C23×D47—41no—
407C23×D47#4114yes—
408C23×D47C2411yescharacteristic
409C23×D47C2411yescharacteristic
410C23×D47C2411yescharacteristic
411C2×Q8×C47—22no—
412C2×Q8×C47—41no—
413C2×Q8×C47—41no—
414C2×D4×C47—22no—
415C2×D4×C47—22no—
416C2×D4×C47—22no—
417C2×D4×C47—22no—
418C2×D4×C47—22no—
419C2×D4×C47—22no—
420C2×D4×C47—41no—
421C2×D4×C47—41no—
422C2×D4×C47C2×D414yes—
423C22×C4×C47—22no—
424C22×C4×C47—22no—
425C22×C4×C47—22no—
426C22×C4×C47—22no—
427C22×C4×C47—22no—
428C22×C4×C47—41no—
429C22×C4×C47—41no—
430C22×C4×C47—41no—
431C22×C4×C47—41no—
432C22×C4×C47—41no—
433C22×C4×C47—41no—
434C22×C4×C47—41no—
435C22×C4×C47—41no—
436C22×C4×C47C2×D414yes—
437C22×C4×C47C2×D414yes—
438C22×C4×C47C2411yescharacteristic
439C22×C4×C47C2411yescharacteristic
440C22×C4×C47C2411yescharacteristic
441C22×C4×C47C2411yescharacteristic
442C22×C4×C47C2411yescharacteristic
443C22×C4×C47C2411yescharacteristic
444C22×C4×C47C2411yescharacteristic
445C22×C4×C47C2411yescharacteristic
446C22×C4×C47C2411yescharacteristic
447C22×C4×C47C2411yescharacteristic
448C22×C4×C47C2411yescharacteristic
449C22×C4×C47C2411yescharacteristic
450C2×C22⋊D47—22no—
451C2×C22⋊D47—22no—
452C2×C22⋊D47—22no—
453C2×C22⋊D47—22no—
454C2×C22⋊D47—22no—
455C2×C22⋊D47—22no—
456C2×C22⋊D47—22no—
457C2×C22⋊D47—22no—
458C2×C22⋊D47—22no—
459C2×C22⋊D47—22no—
460C2×C22⋊D47—41no—
461C2×C22⋊D47—41no—
462C2×C22⋊D47—41no—
463C2×C22⋊D47—41no—
464C2×C22⋊D47#4114yes—
465C22×Dic47—22no—
466C22×Dic47—22no—
467C22×Dic47—22no—
468C22×Dic47—22no—
469C22×Dic47—22no—
470C22×Dic47—22no—
471C22×Dic47—41no—
472C22×Dic47—41no—
473C22×Dic47—41no—
474C22×Dic47—41no—
475C22×Dic47—41no—
476C22×Dic47—41no—
477C22×Dic47C2411yescharacteristic
478C22×Dic47C2411yescharacteristic
479C22×Dic47C2411yescharacteristic
480C22×Dic47C2411yescharacteristic
481C22×Dic47C2411yescharacteristic
482C22×Dic47C2411yescharacteristic
483C22×Dic47C2411yescharacteristic
484C22×Dic47C2411yescharacteristic
485C22×Dic47C2411yescharacteristic
486C22×Dic47C2411yescharacteristic
487C22×Dic47C2411yescharacteristic
488C22×Dic47C2411yescharacteristic
489C22×Dic47C2411yescharacteristic
490D4×D47—232no—
491C2×D188—22no—
492C2×D188—22no—
493C2×D188—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—416no—
513C2×C4×D47—416no—
514C2×C4×D47—41no—
515C2×C4×D47—41no—
516C2×C4×D47—41no—
517C2×C4×D47—41no—
518C2×C4×D47—41no—
519C2×C4×D47—41no—
520C2×C4×D47—41no—
521C2×C4×D47—41no—
522C2×C4×D47—41no—
523C4⋊C4×C47—22no—
524C4⋊C4×C47—22no—
525C4⋊C4×C47—22no—
526C4⋊C4×C47—22no—
527C4⋊C4×C47—22no—
528C4⋊C4×C47—22no—
529C4⋊C4×C47—22no—
530C4⋊C4×C47—22no—
531C4⋊C4×C47—22no—
532C4⋊C4×C47—22no—
533C4⋊C4×C47—22no—
534C4⋊C4×C47—22no—
535C4⋊C4×C47—22no—
536C4⋊C4×C47C2×D414yes—
537C22⋊C4×C47—22no—
538C22⋊C4×C47—22no—
539C22⋊C4×C47—22no—
540C22⋊C4×C47—22no—
541C22⋊C4×C47—22no—
542C22⋊C4×C47—22no—
543C22⋊C4×C47—22no—
544C22⋊C4×C47—22no—
545C22⋊C4×C47C2×D414yes—
546C22⋊C4×C47C2×D414yes—
547C42×C47—22no—
548C42×C47C2×D414yes—
549C22⋊Dic47—22no—
550C22⋊Dic47—22no—
551C22⋊Dic47—22no—
552C22⋊Dic47—22no—
553C22⋊Dic47—22no—
554C22⋊Dic47—22no—
555C22⋊Dic47—41no—
556C22⋊Dic47—41no—
557C22⋊Dic47—41no—
558C22⋊Dic47—41no—
559C22⋊Dic47—41no—
560C22⋊Dic47—41no—
561C22⋊Dic47—41no—
562(C2×D47)⋊C4—22no—
563(C2×D47)⋊C4—22no—
564(C2×D47)⋊C4—22no—
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—22no—
578(C2×D47)⋊C4—22no—
579(C2×D47)⋊C4—41no—
580(C2×D47)⋊C4—41no—
581(C2×D47)⋊C4—41no—
582(C2×D47)⋊C4—41no—
583(C2×D47)⋊C4—41no—
584(C2×D47)⋊C4—41no—
585(C2×D47)⋊C4—41no—
586(C2×D47)⋊C4—41no—
587C4⋊Dic47—22no—
588C4⋊Dic47—41no—
589C4⋊Dic47—41no—
590C4⋊Dic47—41no—
591C4⋊Dic47—41no—
592Dic47⋊C4—22no—
593Dic47⋊C4—22no—
594Dic47⋊C4—22no—
595Dic47⋊C4—22no—
596Dic47⋊C4—22no—
597Dic47⋊C4—22no—
598Dic47⋊C4—22no—
599Dic47⋊C4—22no—
600Dic47⋊C4—41no—
601Dic47⋊C4—41no—
602Dic47⋊C4—41no—
603Dic47⋊C4—41no—
604Dic47⋊C4—41no—
605Dic47⋊C4—41no—
606Dic47⋊C4—41no—
607C4×Dic47—22no—
608C4×Dic47—22no—
609C4×Dic47—22no—
610C4×Dic47—41no—
611C4×Dic47—41no—
612C23×C47—21no—
613C23×C47—21no—
614C23×C47—21no—
615C23×C47—21no—
616C23×C47—21no—
617C23×C47—21no—
618C23×C47—21no—
619C23×C47—21no—
620C23×C47—21no—
621C23×C47—21no—
622C23×C47—21no—
623C23×C47—21no—
624C23×C47—21no—
625C23×C47—21no—
626C23×C47—21no—
627C23×C47—21no—
628C23×C47—21no—
629C23×C47C22×D412yes—
630C23×C47C22×D412yes—
631C23×C47C2×#4112yes—
632C23×C47C2×#4112yes—
633C23×C47C2511yescharacteristic
634C22×D47—21no—
635C22×D47—21no—
636C22×D47—21no—
637C22×D47—21no—
638C22×D47—28no—
639C22×D47—28no—
640C22×D47—21no—
641C22×D47—21no—
642C22×D47—21no—
643C22×D47—21no—
644C22×D47—21no—
645C22×D47—21no—
646C22×D47—21no—
647C22×D47—21no—
648C22×D47—21no—
649C22×D47—21no—
650C22×D47—21no—
651C22×D47—21no—
652C22×D47—28no—
653C22×D47—44no—
654C22×D47—44no—
655C22×D47—44no—
656C22×D47—44no—
657C22×D47—44no—
658C22×D47—44no—
659C22×D47—44no—
660C22×D47—44no—
661C22×D47—44no—
662C22×D47—44no—
663C22×D47—44no—
664C22×D47C2×#4112yes—
665C22×D47C2×#4112yes—
666C22×D47C2×#4112yes—
667C22×D47H(5,𝔽2)12yes—
668C22×D472−1+412yes—
669Q8×C47—82no—
670D4×C47—28no—
671D4×C47—44no—
672D4×C47—82no—
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—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—44no—
705C2×C4×C47—44no—
706C2×C4×C47—44no—
707C2×C4×C47—82no—
708C2×C4×C47—82no—
709C2×C4×C47C22×D412yes—
710C2×C4×C47C22×D412yes—
711C2×C4×C47C22×D412yes—
712C2×C4×C47C22×D412yes—
713C2×C4×C47C22×D412yes—
714C22⋊D47—28no—
715C22⋊D47—28no—
716C22⋊D47—44no—
717C22⋊D47—44no—
718C22⋊D47—82no—
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—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—82no—
760C2×Dic47C2×#4112yes—
761C2×Dic47H(5,𝔽2)12yes—
762D188—28no—
763C4×D47—28no—
764C4×D47—28no—
765C4×D47—44no—
766C4×D47—44no—
767C4×D47—44no—
768C4×D47—44no—
769C4×D47—44no—
770C4×D47—44no—
771C4×D47—44no—
772#34991—471nomaximal, Sylow
773C22×C47—22no—
774C22×C47—22no—
775C22×C47—22no—
776C22×C47—22no—
777C22×C47—22no—
778C22×C47—22no—
779C22×C47—22no—
780C22×C47—22no—
781C22×C47—22no—
782C22×C47—41no—
783C22×C47—41no—
784C22×C47—41no—
785C22×C47—41no—
786C22×C47—41no—
787C22×C47—41no—
788C22×C47—41no—
789C22×C47—41no—
790C22×C47—41no—
791C22×C47—41no—
792C22×C47—41no—
793C22×C47#52514yes—
794C22×C47C23×D411yescharacteristic
795C22×C47C22×#4111yescharacteristic
796C22×C47C22×#4111yescharacteristic
797C22×C47C2×H(5,𝔽2)11yescharacteristic
798C22×C47C2×H(5,𝔽2)11yescharacteristic
799C22×C47C2×2−1+411yescharacteristic
800C22×C47#58511yescharacteristic
801C2×D47—22no—
802C2×D47—22no—
803C2×D47—22no—
804C2×D47—22no—
805C2×D47—22no—
806C2×D47—22no—
807C2×D47—22no—
808C2×D47—22no—
809C2×D47—22no—
810C2×D47—22no—
811C2×D47—22no—
812C2×D47—22no—
813C2×D47—416no—
814C2×D47—416no—
815C2×D47—41no—
816C2×D47—41no—
817C2×D47—41no—
818C2×D47—41no—
819C2×D47—41no—
820C2×D47—41no—
821C2×D47—41no—
822C2×D47—41no—
823C2×D47#53914yescomplemented
824C4×C47—22no—
825C4×C47—22no—
826C4×C47—22no—
827C4×C47—22no—
828C4×C47—22no—
829C4×C47—41no—
830C4×C47—41no—
831C4×C47—41no—
832C4×C47—41no—
833C4×C47—41no—
834C4×C47—41no—
835C4×C47—41no—
836Dic47—22no—
837Dic47—22no—
838Dic47—41no—
839Dic47—41no—
840Dic47—41no—
841Dic47—41no—
842Dic47—41no—
843Dic47—41no—
844Dic47—41no—
845Dic47—41no—
846Dic47—41no—
847Dic47—41no—
848Dic47—41no—
849C2×#539D4711yescharacteristic, complemented
850C22×C4×D4—471no—
851#2852—471no—
852#2851—471no—
853#2849—471no—
854#2848—471no—
855#2638—471no—
856#2636—471no—
857#2633—471no—
858#2630—471no—
859#2480—471no—
860#2473—471no—
861#2466—471no—
862#2463—471no—
863#2460—471no—
864#2455—471no—
865#2449—471no—
866#2449—471no—
867#2443—471no—
868#2437—471no—
869#2425—471no—
870#2419—471no—
871#2418—471no—
872#2412—471no—
873#2410—471no—
874#2405—471no—
875#2325—471no—
876#2322—471no—
877#2318—471no—
878C4×#120—471no—
879C2×#385—471no—
880C2×C47—24no—
881C2×C47—42no—
882C2×C47—81no—
883C2×C47C2×#52511yescharacteristic
884C2×C47C2×#53911yescharacteristic
885C2×C47#345911yescharacteristic
886C2×C47#348411yescharacteristic
887C2×C47#348911yescharacteristic
888C2×C47#351311yescharacteristic
889C2×C47#352011yescharacteristic
890D47—24no—
891D47—42no—
892D47—42no—
893C23×D4—471no—
894C24×C4—471no—
895C24×C4—471no—
896#539—28no—
897C2×#126C2×D4711yescharacteristic, complemented
898C2×#126C2×D4711yescharacteristic, complemented
899C2×#125C2×D4711yescharacteristic, complemented
900C2×#125C2×D4711yescharacteristic, complemented
901C2×#123—471no—
902C2×#123—471no—
903C2×#123C2×D4711yescharacteristic
904C2×#123C2×D4711yescharacteristic, complemented
905C2×#123C2×D4711yescharacteristic, complemented
906C2×#123C2×D4711yescharacteristic, complemented
907C2×C22⋊Q8—471no—
908C2×C22⋊Q8—471no—
909C2×C22⋊Q8C2×D4711yescharacteristic, complemented
910C2×C22⋊Q8C2×D4711yescharacteristic, complemented
911C2×C22⋊Q8C2×D4711yescharacteristic, complemented
912C2×#121—471no—
913C2×#121C2×D4711yescharacteristic
914C2×#120—471no—
915C2×#120—471no—
916C2×C4×D4—471no—
917C2×C4×D4—471no—
918C2×C4×D4—471no—
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—948no—
926C2×C4×D4C2×D4711yescharacteristic
927C2×C4×D4C2×D4711yescharacteristic, complemented
928C22×C4⋊C4—471no—
929C22×C4⋊C4—471no—
930C22×C4⋊C4C2×D4711yescharacteristic, complemented
931C22×C22⋊C4—471no—
932C22×C22⋊C4—471no—
933C22×C22⋊C4—471no—
934C22×C22⋊C4—471no—
935C22×C42—471no—
936#400—471no—
937#399—471no—
938#399—471no—
939#399—471no—
940#398—471no—
941#398—471no—
942#398—471no—
943#398—471no—
944#397—471no—
945#397—471no—
946#397—471no—
947#397—471no—
948#397—471no—
949#397—471no—
950#396—471no—
951#396—471no—
952#396—471no—
953#396—471no—
954#395—471no—
955#394—471no—
956#394—471no—
957#394—471no—
958#394—471no—
959#394—471no—
960#394—471no—
961#394—471no—
962#394—471no—
963#394—471no—
964#394—471no—
965#393—471no—
966#392—471no—
967#392—471no—
968#389—471no—
969#389—471no—
970#389—471no—
971#389—471no—
972#388—471no—
973#388—471no—
974#388—471no—
975#388—471no—
976#388—471no—
977#388—471no—
978#388—471no—
979#388—471no—
980#387—471no—
981#387—471no—
982#387—471no—
983#387—471no—
984#387—471no—
985#387—471no—
986#387—471no—
987#387—471no—
988#387—471no—
989#387—471no—
990#386—471no—
991#386—471no—
992#386—471no—
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#385—471no—
1005#385—471no—
1006#385—471no—
1007#385—471no—
1008#385—471no—
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#383—471no—
1031#382—471no—
1032#381—471no—
1033#381—471no—
1034#381—471no—
1035#380—471no—
1036#380—471no—
1037#380—471no—
1038#380—471no—
1039#380—471no—
1040#380—471no—
1041#379—471no—
1042#379—471no—
1043#379—471no—
1044#379—471no—
1045C4×C22⋊C4—471no—
1046C4×C22⋊C4—471no—
1047C4×C22⋊C4—471no—
1048C2×#95—471no—
1049C2×#95—471no—
1050C47#3499111yescharacteristic, complemented, Sylow
1051C25—471no—
1052C25—471no—
1053C22×Q8C22×D4711yescharacteristic
1054C22×D4—471no—
1055C22×D4—471no—
1056C22×D4—471no—
1057C22×D4—471no—
1058C22×D4—471no—
1059C22×D4—471no—
1060C22×D4—944no—
1061C22×D4—944no—
1062C22×D4—944no—
1063C22×D4C22×D4711yescharacteristic
1064C22×D4C22×D4711yescharacteristic
1065C22×D4C22×D4711yescharacteristic
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—471no—
1076C23×C4—471no—
1077C23×C4—471no—
1078C23×C4—471no—
1079C23×C4—944no—
1080C23×C4—944no—
1081C23×C4—1882no—
1082C23×C4—1882no—
1083C23×C4—1882no—
1084C23×C4—1882no—
1085C23×C4C22×D4711yescharacteristic
1086C23×C4C22×D4711yescharacteristic
1087C23×C4C22×D4711yescharacteristic
1088C23×C4C22×D4711yescharacteristic
1089C23×C4C22×D4711yescharacteristic
1090#126—24no—
1091#126—24no—
1092#125—24no—
1093#125—24no—
1094#123—24no—
1095#123—24no—
1096#123—24no—
1097#123—24no—
1098#123—944no—
1099#123—1882no—
1100C22⋊Q8—24no—
1101C22⋊Q8—24no—
1102C22⋊Q8—24no—
1103C22⋊Q8—1882no—
1104C22⋊Q8—1882no—
1105#121—24no—
1106#121—944no—
1107#120—944no—
1108#120—1882no—
1109C4×D4—24no—
1110C4×D4—944no—
1111C4×D4—944no—
1112C4×D4—944no—
1113C4×D4—944no—
1114C4×D4—944no—
1115C4×D4—944no—
1116C4×D4—944no—
1117C4×D4—1882no—
1118C4×D4—1882no—
1119C4×D4C22⋊D4718yescomplemented
1120C2×C4⋊C4—24no—
1121C2×C4⋊C4—471no—
1122C2×C4⋊C4—471no—
1123C2×C4⋊C4—471no—
1124C2×C4⋊C4—471no—
1125C2×C4⋊C4—471no—
1126C2×C4⋊C4—471no—
1127C2×C4⋊C4—471no—
1128C2×C4⋊C4—471no—
1129C2×C4⋊C4—471no—
1130C2×C4⋊C4—471no—
1131C2×C4⋊C4—471no—
1132C2×C4⋊C4—471no—
1133C2×C4⋊C4—471no—
1134C2×C4⋊C4—471no—
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—944no—
1142C2×C4⋊C4—1882no—
1143C2×C4⋊C4C22×D4711yescharacteristic
1144C2×C4⋊C4C22×D4711yescharacteristic
1145C2×C4⋊C4C22×D4711yescharacteristic
1146C2×C4⋊C4C22×D4711yescharacteristic
1147C2×C4⋊C4C22×D4711yescharacteristic
1148C2×C4⋊C4C22×D4711yescharacteristic
1149C2×C4⋊C4C22×D4711yescharacteristic
1150C2×C4⋊C4C22×D4711yescharacteristic
1151C2×C4⋊C4C22×D4711yescharacteristic
1152C2×C4⋊C4C22×D4711yescharacteristic
1153C2×C4⋊C4C22×D4711yescharacteristic
1154C2×C4⋊C4C22×D4711yescharacteristic
1155C2×C4⋊C4C22×D4711yescharacteristic
1156C2×C4⋊C4C22×D4711yescharacteristic
1157C2×C22⋊C4—471no—
1158C2×C22⋊C4—471no—
1159C2×C22⋊C4—471no—
1160C2×C22⋊C4—471no—
1161C2×C22⋊C4—471no—
1162C2×C22⋊C4—471no—
1163C2×C22⋊C4—471no—
1164C2×C22⋊C4—471no—
1165C2×C22⋊C4—471no—
1166C2×C22⋊C4—471no—
1167C2×C22⋊C4—471no—
1168C2×C22⋊C4—471no—
1169C2×C22⋊C4—471no—
1170C2×C22⋊C4—471no—
1171C2×C22⋊C4—471no—
1172C2×C22⋊C4—471no—
1173C2×C22⋊C4—471no—
1174C2×C22⋊C4—471no—
1175C2×C22⋊C4—471no—
1176C2×C22⋊C4—471no—
1177C2×C22⋊C4—471no—
1178C2×C22⋊C4—471no—
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—944no—
1196C2×C22⋊C4—944no—
1197C2×C22⋊C4—944no—
1198C2×C22⋊C4—1882no—
1199C2×C22⋊C4C22×D4711yescharacteristic
1200C2×C22⋊C4C22×D4711yescharacteristic
1201C2×C22⋊C4C22×D4711yescharacteristic
1202C2×C22⋊C4C22×D4711yescharacteristic
1203C2×C22⋊C4C22×D4711yescharacteristic
1204C2×C22⋊C4C22×D4711yescharacteristic
1205C2×C22⋊C4C22×D4711yescharacteristic
1206C2×C22⋊C4C22×D4711yescharacteristic
1207C2×C22⋊C4C22×D4711yescharacteristic
1208C2×C22⋊C4C22×D4711yescharacteristic
1209C2×C42—471no—
1210C2×C42—471no—
1211C2×C42—471no—
1212C2×C42—471no—
1213C2×C42—471no—
1214C2×C42—944no—
1215C2×C42C22×D4711yescharacteristic
1216C2×C42C22×D4711yescharacteristic
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#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—
1253C24—471no—
1254C24—471no—
1255C24—471no—
1256C24—474no—
1257C24—942no—
1258C24—942no—
1259C24—942no—
1260C24—942no—
1261C24—942no—
1262C24—942no—
1263C24—942no—
1264C24—942no—
1265C24—942no—
1266C24—1881no—
1267C24—1881no—
1268C24—1881no—
1269C24—1881no—
1270C24C23×D4711yescharacteristic
1271C24C23×D4711yescharacteristic
1272C24C23×D4711yescharacteristic
1273C2×Q8—22no—
1274C2×Q8—41no—
1275C2×Q8—41no—
1276C2×D4—22no—
1277C2×D4—22no—
1278C2×D4—22no—
1279C2×D4—22no—
1280C2×D4—22no—
1281C2×D4—22no—
1282C2×D4—41no—
1283C2×D4—41no—
1284C2×D4—474no—
1285C2×D4—942no—
1286C2×D4—942no—
1287C2×D4—942no—
1288C2×D4—9432no—
1289C2×D4—942no—
1290C2×D4—942no—
1291C2×D4—942no—
1292C2×D4—942no—
1293C2×D4—942no—
1294C2×D4—942no—
1295C2×D4—942no—
1296C2×D4—942no—
1297C2×D4—942no—
1298C2×D4—942no—
1299C2×D4—1881no—
1300C2×D4—1881no—
1301C2×D4—1881no—
1302C2×D4—1881no—
1303C2×D4C2×C22⋊D4714yes—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—41no—
1310C22×C4—41no—
1311C22×C4—41no—
1312C22×C4—41no—
1313C22×C4—41no—
1314C22×C4—41no—
1315C22×C4—41no—
1316C22×C4—41no—
1317C22×C4—471no—
1318C22×C4—471no—
1319C22×C4—471no—
1320C22×C4—471no—
1321C22×C4—471no—
1322C22×C4—471no—
1323C22×C4—471no—
1324C22×C4—471no—
1325C22×C4—471no—
1326C22×C4—471no—
1327C22×C4—471no—
1328C22×C4—471no—
1329C22×C4—471no—
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—1881no—
1355C22×C4—1881no—
1356C22×C4—1881no—
1357C22×C4—1881no—
1358C22×C4—1881no—
1359C22×C4—1881no—
1360C22×C4—1881no—
1361C22×C4—1881no—
1362C22×C4—1881no—
1363C22×C4—18816no—
1364C22×C4—18816no—
1365C22×C4—1881no—
1366C22×C4—1881no—
1367C22×C4—1881no—
1368C22×C4—1881no—
1369C22×C4—1881no—
1370C22×C4—1881no—
1371C22×C4C2×C22⋊D4714yes—
1372C22×C4C2×C22⋊D4714yes—
1373C22×C4C23×D4711yescharacteristic
1374C22×C4C23×D4711yescharacteristic
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
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—22no—
1388C4⋊C4—22no—
1389C4⋊C4—22no—
1390C4⋊C4—22no—
1391C4⋊C4—22no—
1392C4⋊C4—22no—
1393C4⋊C4—22no—
1394C4⋊C4—22no—
1395C4⋊C4—22no—
1396C4⋊C4—22no—
1397C4⋊C4—22no—
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—1881no—
1408C4⋊C4—1881no—
1409C4⋊C4—1881no—
1410C4⋊C4—1881no—
1411C4⋊C4—1881no—
1412C4⋊C4—1881no—
1413C4⋊C4—1881no—
1414C4⋊C4—1881no—
1415C4⋊C4—1881no—
1416C4⋊C4—1881no—
1417C4⋊C4—1881no—
1418C4⋊C4C2×C22⋊D4714yes—
1419C22⋊C4—22no—
1420C22⋊C4—22no—
1421C22⋊C4—22no—
1422C22⋊C4—22no—
1423C22⋊C4—22no—
1424C22⋊C4—22no—
1425C22⋊C4—22no—
1426C22⋊C4—22no—
1427C22⋊C4—942no—
1428C22⋊C4—942no—
1429C22⋊C4—942no—
1430C22⋊C4—942no—
1431C22⋊C4—942no—
1432C22⋊C4—942no—
1433C22⋊C4—942no—
1434C22⋊C4—942no—
1435C22⋊C4—942no—
1436C22⋊C4—942no—
1437C22⋊C4—942no—
1438C22⋊C4—942no—
1439C22⋊C4—942no—
1440C22⋊C4—942no—
1441C22⋊C4—942no—
1442C22⋊C4—942no—
1443C22⋊C4—942no—
1444C22⋊C4—942no—
1445C22⋊C4—942no—
1446C22⋊C4—942no—
1447C22⋊C4—942no—
1448C22⋊C4—942no—
1449C22⋊C4—942no—
1450C22⋊C4—1881no—
1451C22⋊C4—1881no—
1452C22⋊C4—1881no—
1453C22⋊C4—1881no—
1454C22⋊C4—1881no—
1455C22⋊C4—1881no—
1456C22⋊C4—1881no—
1457C22⋊C4—1881no—
1458C22⋊C4—1881no—
1459C22⋊C4—1881no—
1460C22⋊C4—1881no—
1461C22⋊C4—1881no—
1462C22⋊C4—1881no—
1463C22⋊C4—1881no—
1464C22⋊C4—1881no—
1465C22⋊C4C2×C22⋊D4714yes—
1466C22⋊C4C2×C22⋊D4714yes—
1467C42—22no—
1468C42—942no—
1469C42—942no—
1470C42—942no—
1471C42—1881no—
1472C42—1881no—
1473C42C2×C22⋊D4714yes—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—472no—
1492C23—472no—
1493C23—472no—
1494C23—472no—
1495C23—472no—
1496C23—948no—
1497C23—948no—
1498C23—941no—
1499C23—941no—
1500C23—941no—
1501C23—941no—
1502C23—948no—
1503C23—941no—
1504C23—941no—
1505C23—941no—
1506C23—941no—
1507C23—941no—
1508C23—941no—
1509C23—941no—
1510C23—941no—
1511C23—941no—
1512C23—941no—
1513C23—941no—
1514C23—941no—
1515C23—1884no—
1516C23—1884no—
1517C23—1884no—
1518C23—1884no—
1519C23—1884no—
1520C23—1884no—
1521C23—1884no—
1522C23—1884no—
1523C23—1884no—
1524C23—1884no—
1525C23—1884no—
1526C23C22×C22⋊D4712yes—
1527C23C22×C22⋊D4712yes—
1528C23#41×D4712yes—
1529C23#41×D4712yes—
1530C23C24×D4711yescharacteristic
1531Q8—82no—
1532D4—28no—
1533D4—44no—
1534D4—82no—
1535D4—948no—
1536D4—948no—
1537D4—948no—
1538D4—3762no—
1539D4—1884no—
1540D4—1884no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
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—44no—
1573C2×C4—44no—
1574C2×C4—44no—
1575C2×C4—82no—
1576C2×C4—82no—
1577C2×C4—472no—
1578C2×C4—472no—
1579C2×C4—948no—
1580C2×C4—948no—
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—941no—
1592C2×C4—941no—
1593C2×C4—941no—
1594C2×C4—941no—
1595C2×C4—941no—
1596C2×C4—941no—
1597C2×C4—941no—
1598C2×C4—941no—
1599C2×C4—941no—
1600C2×C4—941no—
1601C2×C4—941no—
1602C2×C4—941no—
1603C2×C4—941no—
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—3762no—
1619C2×C4—1884no—
1620C2×C4—1884no—
1621C2×C4—1884no—
1622C2×C4—1884no—
1623C2×C4—1884no—
1624C2×C4—1884no—
1625C2×C4—1884no—
1626C2×C4—1884no—
1627C2×C4—1884no—
1628C2×C4—1884no—
1629C2×C4C22×C22⋊D4712yes—
1630C2×C4C22×C22⋊D4712yes—
1631C2×C4C22×C22⋊D4712yes—
1632C2×C4C22×C22⋊D4712yes—
1633C2×C4C22×C22⋊D4712yes—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—474no—
1655C22—942no—
1656C22—942no—
1657C22—942no—
1658C22—942no—
1659C22—942no—
1660C22—942no—
1661C22—942no—
1662C22—942no—
1663C22—942no—
1664C22—942no—
1665C22—942no—
1666C22—942no—
1667C22—18816no—
1668C22—18816no—
1669C22—1881no—
1670C22—1881no—
1671C22—1881no—
1672C22—1881no—
1673C22—1881no—
1674C22—1881no—
1675C22—1881no—
1676C22—1881no—
1677C22#1568963014yes—
1678C22C23×C22⋊D4711yescharacteristic
1679C22C2×#41×D4711yescharacteristic
1680C22C2×#41×D4711yescharacteristic
1681C22H(5,𝔽2)×D4711yescharacteristic
1682C22H(5,𝔽2)×D4711yescharacteristic
1683C222−1+4×D4711yescharacteristic
1684C22#1568996011yescharacteristic
1685C4—22no—
1686C4—22no—
1687C4—22no—
1688C4—22no—
1689C4—22no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—942no—
1698C4—942no—
1699C4—1881no—
1700C4—1881no—
1701C4—1881no—
1702C4—1881no—
1703C4—1881no—
1704C4—1881no—
1705C4—1881no—
1706C4—1881no—
1707C4—1881no—
1708C4—1881no—
1709C4—1881no—
1710C2—24no—
1711C2—42no—
1712C2—81no—
1713C2—944no—
1714C2—1882no—
1715C2—1882no—
1716C2C2×#1568963011yescharacteristic
1717C2#539×D4711yescharacteristic
1718C2#2025679611yescharacteristic
1719C2#2025701911yescharacteristic
1720C2#2025706111yescharacteristic
1721C2#2025731811yescharacteristic
1722C2#2025742911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC2×C47×#539C2
prime radical#20246759C2
hypercenterC2×#539D47
hypocenterC47#34991
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ C2×#539

Complements

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

NH ≅ G/Ntype
1. C2×C4×D4×D47C2semidirect
2. #20251700C2semidirect
3. #20251693C2semidirect
4. #20251677C2semidirect
5. #20251672C2semidirect
6. #20249306C2semidirect
7. #20249285C2semidirect
8. #20249257C2semidirect
9. #20249227C2semidirect
10. #20247630C2semidirect
11. #20247525C2semidirect
12. #20247420C2semidirect
13. #20247381C2semidirect
14. #20247336C2semidirect
15. #20247267C2semidirect
16. #20247194C2semidirect
17. #20247193C2semidirect
18. #20247119C2semidirect
19. #20247051C2semidirect
20. #20246935C2semidirect
21. #20246861C2semidirect
22. #20246847C2semidirect
23. #20246780C2semidirect
25. #20246712C2semidirect
26. #20246086C2semidirect
27. #20246057C2semidirect
28. #20246021C2semidirect
29. C4×#13093992C2semidirect
30. C2×#15688994C2semidirect
31. C2×C47×#539C2semidirect
36. C2×#13094005C22semidirect
38. C2×#13094000C22semidirect
48. C2×C4×C22⋊D47C22semidirect
52. C22×Dic47⋊C4C22semidirect
59. #15689062C22semidirect
60. #15689059C22semidirect
61. #15689058C22semidirect
62. #15689058C22semidirect
63. #15689056C22semidirect
64. #15689054C22semidirect
65. #15689053C22semidirect
66. #15689053C22semidirect
67. #15689051C22semidirect
68. #15689051C22semidirect
69. #15689051C22semidirect
70. #15689049C22semidirect
71. #15689049C22semidirect
72. #15689049C22semidirect
73. #15689046C22semidirect
74. #15689045C22semidirect
75. #15689045C22semidirect
76. #15689045C22semidirect
77. #15689042C22semidirect
81. #15689039C22semidirect
82. #15689039C22semidirect
83. #15689039C22semidirect
87. #15689037C22semidirect
88. #15689034C22semidirect
91. #15689019C22semidirect
92. #15689019C22semidirect
93. #15689018C22semidirect
94. #15689018C22semidirect
95. #15689016C22semidirect
96. #15689016C22semidirect
97. #15689014C22semidirect
98. #15689013C22semidirect
99. #15689013C22semidirect
100. #15689011C22semidirect
101. #15689011C22semidirect
102. #15689011C22semidirect
103. #15689009C22semidirect
104. #15689009C22semidirect
105. #15689007C22semidirect
106. #15689004C22semidirect
107. #15689004C22semidirect
108. #15689004C22semidirect
109. #15689004C22semidirect
110. #15689004C22semidirect
111. #15689004C22semidirect
112. #15689004C22semidirect
115. #15689003C22semidirect
116. #15689003C22semidirect
118. #15689002C22semidirect
124. #15688999C22semidirect
125. #15688999C22semidirect
126. #15688999C22semidirect
127. #15688998C22semidirect
128. #15688998C22semidirect
129. #15688996C22semidirect
130. #15688996C22semidirect
131. #15688995C22semidirect
132. #15688995C22semidirect
133. #15688995C22semidirect
144. #15688994C22semidirect
145. #15688994C22semidirect
146. #15688994C22semidirect
147. #15688994C22semidirect
148. #15688994C22semidirect
149. #15688994C22semidirect
150. #15688994C22semidirect
151. #15688994C22semidirect
152. #15688994C22semidirect
153. #15688991C22semidirect
154. #15688989C22semidirect
155. #15688986C22semidirect
156. #15688986C22semidirect
157. #15688984C22semidirect
158. #15688983C22semidirect
159. #15688981C22semidirect
163. #15688980C22semidirect
169. C4×(C2×D47)⋊C4C22semidirect
170. C4×C22⋊Dic47C22semidirect
171. C2×C47⋊#95C22semidirect
172. C2×C47⋊#95C22semidirect
174. C2×#126×C47C22semidirect
175. C2×#126×C47C22semidirect
176. C2×#125×C47C22semidirect
177. C2×#125×C47C22semidirect
179. C2×#123×C47C22semidirect
180. C2×#123×C47C22semidirect
181. C2×#123×C47C22semidirect
182. C2×C22⋊Q8×C47C22semidirect
183. C2×C22⋊Q8×C47C22semidirect
184. C2×C22⋊Q8×C47C22semidirect
187. C2×C4×D4×C47C22semidirect
188. C22×C4⋊C4×C47C22semidirect
363. C4×D4×C47D4semidirect
823. C2×D47#539semidirect
849. C2×#539D47semidirect
897. C2×#126C2×D47semidirect
898. C2×#126C2×D47semidirect
899. C2×#125C2×D47semidirect
900. C2×#125C2×D47semidirect
904. C2×#123C2×D47semidirect
905. C2×#123C2×D47semidirect
906. C2×#123C2×D47semidirect
909. C2×C22⋊Q8C2×D47semidirect
910. C2×C22⋊Q8C2×D47semidirect
911. C2×C22⋊Q8C2×D47semidirect
927. C2×C4×D4C2×D47semidirect
930. C22×C4⋊C4C2×D47semidirect
1050. C47#34991semidirect
1119. C4×D4C22⋊D47semidirect

Maximal subgroups

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

subgroupindex
C2×C4×D4×D472
#202517002
#202516932
#202516772
#202516722
#202493062
#202492852
#202492572
#202492272
#202476302
#202475252
#202474202
#202473812
#202473362
#202472672
#202471942
#202471932
#202471192
#202470512
#202469352
#202468612
#202468472
#202467802
#202467592
#202467122
#202460862
#202460572
#202460212
C4×#130939922
C2×#156889942
C2×C47×#5392
#3499147