Finite Group Databasebeta

← #26376836

Subgroups — #26376836

Order 12032.

2698 conjugacy classes of subgroups.

The subgroup lattice has 1610 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689629C211yesmaximal, characteristic
2#20246523C211yesmaximal, characteristic, complemented
3#20246521C211yesmaximal, characteristic, complemented
4#20246518C211yesmaximal, characteristic, complemented
5#20246518C211yesmaximal, characteristic, complemented
6#20246429C211yesmaximal, characteristic, complemented
7#20246423C211yesmaximal, characteristic, complemented
8#20246418C211yesmaximal, characteristic, complemented
9#20246412C211yesmaximal, characteristic, complemented
10#20246360C211yesmaximal, characteristic, complemented
11#20246358C211yesmaximal, characteristic, complemented
12#20246326C211yesmaximal, characteristic, complemented
13#20246323C211yesmaximal, characteristic, complemented
14#20246278C211yesmaximal, characteristic, complemented
15#20246270C211yesmaximal, characteristic, complemented
16#20246227C211yesmaximal, characteristic, complemented
17#20246214C211yesmaximal, characteristic, complemented
18#20246049C211yesmaximal, characteristic, complemented
19#20246046C211yesmaximal, characteristic, complemented
20#20246043C211yesmaximal, characteristic, complemented
21#20246016C211yesmaximal, characteristic, complemented
22#20246014C211yesmaximal, characteristic, complemented
23#20245920C211yesmaximal, characteristic, complemented
24C4×#13094001C211yesmaximal, characteristic, complemented
25#20245898C211yesmaximal, characteristic, complemented
26C4×#13093996C211yesmaximal, characteristic, complemented
27#20245766C211yesmaximal, characteristic, complemented
28#20245749C211yesmaximal, characteristic, complemented
29#20245747C211yesmaximal, characteristic, complemented
30C2×C22⋊C4×Dic47C211yesmaximal, characteristic, complemented
31C47×#2321C211yesmaximal, characteristic, complemented
32C22×#10625352C2211yescharacteristic
33C24×Dic47C2211yescharacteristic
34#15689629C4116yescomplemented
35C2×#13094008C2211yescharacteristic
36C2×#13094005C2211yescharacteristic
37C2×#13094001C2211yescharacteristic
38C2×#13094001C2211yescharacteristic
39C2×#13093996C2211yescharacteristic
40C2×#13093996C2211yescharacteristic
41C2×#13093993C2211yescharacteristic
42C2×C4×Dic94C2211yescharacteristic, complemented
43C2×#13093989C2211yescharacteristic, complemented
44C2×D4×Dic47C2211yescharacteristic
45C2×D4×Dic47C2211yescharacteristic
46C2×D4×Dic47C2211yescharacteristic
47C2×C4×C22⋊D47C2211yescharacteristic
48C2×C4×C22⋊D47C2211yescharacteristic, complemented
49C2×(C22⋊D47)⋊C4C2211yescharacteristic
50C2×(C22⋊D47)⋊C4C2211yescharacteristic
51C2×(C22⋊D47)⋊C4C2211yescharacteristic
52C2×(C22⋊D47)⋊C4C2211yescharacteristic, complemented
53C2×#13093980C2211yescharacteristic
54C2×#13093980C2211yescharacteristic
55C2×#13093980C2211yescharacteristic
56C22×C22⋊Dic47C2211yescharacteristic
57C22×C4×Dic47C2211yescharacteristic
58C22×C4×Dic47C2211yescharacteristic
59#15689027C2211yescharacteristic, complemented
60#15689027C2211yescharacteristic, complemented
61#15689026C2211yescharacteristic
62#15689026C2211yescharacteristic
63#15689023C2211yescharacteristic
64#15689023C2211yescharacteristic
65#15689023C2211yescharacteristic
66#15689023C2211yescharacteristic
67#15689023C2211yescharacteristic, complemented
68#15689023C2211yescharacteristic, complemented
69#15689020C2211yescharacteristic, complemented
70#15689020C2211yescharacteristic, complemented
71#15689018C2211yescharacteristic, complemented
72#15689018C2211yescharacteristic, complemented
73#15689017C2211yescharacteristic
74#15689017C2211yescharacteristic
75#15689017C2211yescharacteristic
76#15689017C2211yescharacteristic
77#15689017C2211yescharacteristic, complemented
78#15689017C2211yescharacteristic, complemented
79#15689016C2211yescharacteristic
80#15689016C2211yescharacteristic
81#15689016C2211yescharacteristic
82#15689016C2211yescharacteristic
83#15689015C2211yescharacteristic, complemented
84#15689015C2211yescharacteristic, complemented
85#15689013C2211yescharacteristic, complemented
86#15689013C2211yescharacteristic, complemented
87#15689011C2211yescharacteristic
88#15689011C2211yescharacteristic
89#15689011C2211yescharacteristic
90#15689011C2211yescharacteristic
91#15689011C2211yescharacteristic, complemented
92#15689011C2211yescharacteristic, complemented
93#15689010C2211yescharacteristic, complemented
94#15689010C2211yescharacteristic, complemented
95#15689008C2211yescharacteristic, complemented
96#15689008C2211yescharacteristic, complemented
97#15689006C2211yescharacteristic, complemented
98#15689006C2211yescharacteristic, complemented
99#15689004C2211yescharacteristic, complemented
100#15689004C2211yescharacteristic, complemented
101#15689003C2211yescharacteristic
102#15689003C2211yescharacteristic
103#15689003C2211yescharacteristic
104#15689002C2211yescharacteristic
105#15689000C2211yescharacteristic
106#15688999C2211yescharacteristic
107#15688999C2211yescharacteristic
108#15688999C2211yescharacteristic
109#15688999C2211yescharacteristic
110#15688998C2211yescharacteristic
111#15688996C2211yescharacteristic
112#15688995C2211yescharacteristic
113#15688990C2211yescharacteristic, complemented
114#15688990C2211yescharacteristic, complemented
115#15688988C2211yescharacteristic, complemented
116#15688987C2211yescharacteristic, complemented
117#15688985C2211yescharacteristic, complemented
118#15688984C2211yescharacteristic
119#15688984C2211yescharacteristic
120#15688984C2211yescharacteristic, complemented
121#15688981C2211yescharacteristic
122#15688981C2211yescharacteristic
123#15688981C2211yescharacteristic
124#15688981C2211yescharacteristic
125#15688981C2211yescharacteristic, complemented
126#15688980C2211yescharacteristic, complemented
127#15688979C2211yescharacteristic
128C4⋊C4×Dic47C2211yescharacteristic, complemented
129C4⋊C4×Dic47C2211yescharacteristic, complemented
130C4⋊C4×Dic47C2211yescharacteristic, complemented
131C4×Dic47⋊C4C2211yescharacteristic, complemented
132C4×Dic47⋊C4C2211yescharacteristic, complemented
133C4×Dic47⋊C4C2211yescharacteristic, complemented
134C4×Dic47⋊C4C2211yescharacteristic, complemented
135C4×Dic47⋊C4C2211yescharacteristic, complemented
136C4×C4⋊Dic47C2211yescharacteristic, complemented
137C4×C4⋊Dic47C2211yescharacteristic, complemented
138#15688974C2211yescharacteristic, complemented
139#15688974C2211yescharacteristic, complemented
140#15688974C2211yescharacteristic, complemented
141#15688974C2211yescharacteristic, complemented
142C22⋊C4×Dic47C2211yescharacteristic
143C22⋊C4×Dic47C2211yescharacteristic
144C22⋊C4×Dic47C2211yescharacteristic
145C22⋊C4×Dic47C2211yescharacteristic
146C22⋊C4×Dic47C2211yescharacteristic
147C22⋊C4×Dic47C2211yescharacteristic
148C22⋊C4×Dic47C2211yescharacteristic
149C22⋊C4×Dic47C2211yescharacteristic
150C22⋊C4×Dic47C2211yescharacteristic
151C22⋊C4×Dic47C2211yescharacteristic
152C22⋊C4×Dic47C2211yescharacteristic
153C22⋊C4×Dic47C2211yescharacteristic
154C22⋊C4×Dic47C2211yescharacteristic
155C22⋊C4×Dic47C2211yescharacteristic
156C22⋊C4×Dic47C2211yescharacteristic, complemented
157C22⋊C4×Dic47C2211yescharacteristic, complemented
158C22⋊C4×Dic47C2211yescharacteristic, complemented
159C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
160C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
161C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
162C4×C22⋊Dic47C2211yescharacteristic
163C4×C22⋊Dic47C2211yescharacteristic, complemented
164C4×C22⋊Dic47C2211yescharacteristic, complemented
165#15688970C2211yescharacteristic, complemented
166#15688970C2211yescharacteristic, complemented
167#15688969C2211yescharacteristic, complemented
168#15688968C2211yescharacteristic, complemented
169C2×C47⋊#95C2211yescharacteristic
170C2×C47⋊#95C2211yescharacteristic
171C2×C47⋊#95C2211yescharacteristic, complemented
172#95×D47C2211yescharacteristic, complemented
173C2×#120×C47C2211yescharacteristic
174C2×C4×D4×C47C2211yescharacteristic
175C22×C22⋊C4×C47C2211yescharacteristic
176C47×#390C2211yescharacteristic
177C47×#390C2211yescharacteristic
178C47×#388C2211yescharacteristic
179C47×#388C2211yescharacteristic
180C47×#388C2211yescharacteristic
181C47×#388C2211yescharacteristic
182C47×#386C2211yescharacteristic
183C47×#386C2211yescharacteristic
184C47×#386C2211yescharacteristic
185C47×#385C2211yescharacteristic
186C47×#379C2211yescharacteristic
187C4×C22⋊C4×C47C2211yescharacteristic
188C2×#10625352—42no—
189C2×#10625352—42no—
190C2×#10625352C2×C418yescomplemented
191C22×Dic94C2311yescharacteristic
192C22×C22⋊D47C2311yescharacteristic
193C22×C22⋊D47C2311yescharacteristic
194C22×C22⋊D47C2311yescharacteristic
195C22×C22⋊D47C2311yescharacteristic
196C23×Dic47—42no—
197C23×Dic47—42no—
198C23×Dic47C2×C418yescomplemented
199C23×Dic47C2311yescharacteristic
200C23×Dic47C2311yescharacteristic
201C23×Dic47C2311yescharacteristic
202C23×Dic47C2311yescharacteristic
203C23×Dic47C2311yescharacteristic
204C23×Dic47C2311yescharacteristic
205C23×Dic47C2311yescharacteristic
206C23×Dic47C2311yescharacteristic
207C23×Dic47C2311yescharacteristic
208C23×Dic47C2311yescharacteristic
209C22×C4×D47C2311yescharacteristic
210C22×C4×D47C2311yescharacteristic
211C22×C4×D47C2311yescharacteristic
212#13094008C2×C418yescomplemented
213#13094005C2×C418yescomplemented
214#13094001C2×C418yescomplemented
215#13094001C2×C418yescomplemented
216#13093996C2×C418yes—
217#13093996C2×C418yescomplemented
218#13093993C2×C418yescomplemented
219C4×Dic94—42no—
220#13093989—42no—
221D4×Dic47—24no—
222D4×Dic47C2×C418yescomplemented
223D4×Dic47C2×C418yescomplemented
224C4×C22⋊D47—24no—
225C4×C22⋊D47—42no—
226(C22⋊D47)⋊C4—24no—
227(C22⋊D47)⋊C4—42no—
228(C22⋊D47)⋊C4C2×C418yescomplemented
229(C22⋊D47)⋊C4C2×C418yescomplemented
230#13093980—42no—
231#13093980—42no—
232#13093980C2×C418yescomplemented
233C2×C4⋊Dic47C2311yescharacteristic
234C2×C4⋊Dic47C2311yescharacteristic
235C2×C4⋊Dic47C2311yescharacteristic
236C2×C4⋊Dic47C2311yescharacteristic
237C2×C4⋊Dic47C2311yescharacteristic
238C2×Dic47⋊C4C2311yescharacteristic
239C2×Dic47⋊C4C2311yescharacteristic
240C2×Dic47⋊C4C2311yescharacteristic
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×C22⋊Dic47—24no—
253C2×C22⋊Dic47C2311yescharacteristic
254C2×C22⋊Dic47C2311yescharacteristic
255C2×C22⋊Dic47C2311yescharacteristic
256C2×C22⋊Dic47C2311yescharacteristic
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×C22⋊Dic47C2311yescharacteristic
271C2×(C2×D47)⋊C4C2311yescharacteristic
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×C4×Dic47—42no—
280C2×C4×Dic47—42no—
281C2×C4×Dic47C2311yescharacteristic
282C2×C4×Dic47C2311yescharacteristic
283C2×C4×Dic47C2311yescharacteristic
284C2×C4×Dic47C2311yescharacteristic
285C2×C4×Dic47C2311yescharacteristic
286C2×C4×Dic47C2311yescharacteristic
287C2×C4×Dic47C2311yescharacteristic
288C2×C4×Dic47C2311yescharacteristic
289C2×C4×Dic47C2311yescharacteristic
290C2×C4×Dic47C2311yescharacteristic
291C2×C4×Dic47C2311yescharacteristic
292C2×C4×Dic47C2311yescharacteristic
293C2×C4×Dic47C2311yescharacteristic
294C2×C4×Dic47C2311yescharacteristic
295C2×C4×Dic47C2311yescharacteristic
296C2×C4×Dic47C2311yescharacteristic
297C2×C4×Dic47C2311yescharacteristic
298C2×C4×Dic47C2311yescharacteristic
299C2×C4×Dic47C2311yescharacteristic
300C2×C4×Dic47C2311yescharacteristic
301C2×C4×Dic47C2311yescharacteristic
302C2×C4×Dic47C2311yescharacteristic
303C2×C4×Dic47C2311yescharacteristic
304C47⋊#95C2311yescharacteristic
305C47⋊#95C2311yescharacteristic
306C47⋊#95C2311yescharacteristic
307C47⋊#95C2311yescharacteristic
308C47⋊#95C2311yescharacteristic
309C47⋊#95C2311yescharacteristic
310C47⋊#95C2311yescharacteristic
311C47⋊#95C2311yescharacteristic
312C47⋊#95C2311yescharacteristic
313C47⋊#95C2311yescharacteristic
314C47⋊#95C2311yescharacteristic
315C47⋊#95C2311yescharacteristic
316C47⋊#95C2311yescharacteristic
317C47⋊#95C2311yescharacteristic
318C47⋊#95C2311yescharacteristic
319C47⋊#95C2311yescharacteristic
320C47⋊#95C2311yescharacteristic
321C47⋊#95C2311yescharacteristic
322C47⋊#95C2311yescharacteristic
323C47⋊#95C2311yescharacteristic
324C47⋊#95C2311yescharacteristic
325C47⋊#95C2311yescharacteristic
326C47⋊#95C2311yescharacteristic
327C47⋊#95C2311yescharacteristic
328C47⋊#95C2311yescharacteristic
329C47⋊#95C2311yescharacteristic
330C47⋊#95C2311yescharacteristic
331C47⋊#95C2311yescharacteristic
332C47⋊#95C2311yescharacteristic
333C47⋊#95C2311yescharacteristic
334C47⋊#95C2311yescharacteristic
335C47⋊#95C2311yescharacteristic
336C47⋊#95C2311yescharacteristic
337C47⋊#95C2311yescharacteristic
338C25×C47C2311yescharacteristic
339C22×D4×C47C2311yescharacteristic
340C22×D4×C47C2311yescharacteristic
341C22×D4×C47C2311yescharacteristic
342C23×C4×C47C2311yescharacteristic
343C23×C4×C47C2311yescharacteristic
344C23×C4×C47C2311yescharacteristic
345#120×C47C2×C418yescomplemented
346C4×D4×C47—24no—
347C2×C4⋊C4×C47C2311yescharacteristic
348C2×C4⋊C4×C47C2311yescharacteristic
349C2×C4⋊C4×C47C2311yescharacteristic
350C2×C22⋊C4×C47—24no—
351C2×C22⋊C4×C47C2311yescharacteristic
352C2×C22⋊C4×C47C2311yescharacteristic
353C2×C22⋊C4×C47C2311yescharacteristic
354C2×C22⋊C4×C47C2311yescharacteristic
355C2×C22⋊C4×C47C2311yescharacteristic
356C2×C22⋊C4×C47C2311yescharacteristic
357C2×C22⋊C4×C47C2311yescharacteristic
358C2×C22⋊C4×C47C2311yescharacteristic
359C2×C22⋊C4×C47C2311yescharacteristic
360C2×C22⋊C4×C47C2311yescharacteristic
361C2×C22⋊C4×C47C2311yescharacteristic
362C2×C22⋊C4×C47C2311yescharacteristic
363C2×C22⋊C4×C47C2311yescharacteristic
364C2×C22⋊C4×C47C2311yescharacteristic
365C2×C22⋊C4×C47C2311yescharacteristic
366C2×C22⋊C4×C47C2311yescharacteristic
367C2×C42×C47C2311yescharacteristic
368C2×C42×C47C2311yescharacteristic
369C2×C42×C47C2311yescharacteristic
370#95×C47C2311yescharacteristic
371#95×C47C2311yescharacteristic
372#95×C47C2311yescharacteristic
373#95×C47C2311yescharacteristic
374#95×C47C2311yescharacteristic
375#95×C47C2311yescharacteristic
376C24×C47—22no—
377C24×C47—22no—
378C24×C47—41no—
379C24×C47—41no—
380C24×C47—41no—
381C24×C47—41no—
382C24×C47C22×C414yes—
383C24×C47C2411yescharacteristic
384C24×C47C2411yescharacteristic
385C24×C47C2411yescharacteristic
386C24×C47C2411yescharacteristic
387C23×D47C2411yescharacteristic
388C2×D4×C47—22no—
389C2×D4×C47—22no—
390C2×D4×C47—41no—
391C2×D4×C47—41no—
392C2×D4×C47—41no—
393C2×D4×C47—41no—
394C2×D4×C47C22×C414yes—
395C2×D4×C47C22×C414yes—
396C2×D4×C47C22×C414yes—
397C22×C4×C47—22no—
398C22×C4×C47—22no—
399C22×C4×C47—41no—
400C22×C4×C47—41no—
401C22×C4×C47—41no—
402C22×C4×C47—41no—
403C22×C4×C47—41no—
404C22×C4×C47—41no—
405C22×C4×C47#4114yescomplemented
406C22×C4×C47C2411yescharacteristic
407C22×C4×C47C2411yescharacteristic
408C22×C4×C47C2411yescharacteristic
409C22×C4×C47C2411yescharacteristic
410C22×C4×C47C2411yescharacteristic
411C22×C4×C47C2411yescharacteristic
412C22×C4×C47C2411yescharacteristic
413C22×C4×C47C2411yescharacteristic
414C22×C4×C47C2411yescharacteristic
415C22×C4×C47C2411yescharacteristic
416C22×C4×C47C2411yescharacteristic
417C2×C22⋊D47—22no—
418C2×C22⋊D47—22no—
419C2×C22⋊D47—22no—
420C2×C22⋊D47—22no—
421C2×C22⋊D47—41no—
422C2×C22⋊D47—41no—
423C2×C22⋊D47—41no—
424C2×C22⋊D47—41no—
425C2×C22⋊D47C22×C414yes—
426C2×C22⋊D47C22×C414yes—
427C2×C22⋊D47C22×C414yes—
428C2×C22⋊D47C22×C414yes—
429C22×Dic47—22no—
430C22×Dic47—22no—
431C22×Dic47—22no—
432C22×Dic47—22no—
433C22×Dic47—22no—
434C22×Dic47—22no—
435C22×Dic47—22no—
436C22×Dic47—22no—
437C22×Dic47—416no—
438C22×Dic47—41no—
439C22×Dic47—41no—
440C22×Dic47—41no—
441C22×Dic47—41no—
442C22×Dic47—41no—
443C22×Dic47—41no—
444C22×Dic47—41no—
445C22×Dic47—41no—
446C22×Dic47—41no—
447C22×Dic47—41no—
448C22×Dic47—41no—
449C22×Dic47—41no—
450C22×Dic47—41no—
451C22×Dic47—41no—
452C22×Dic47C22×C414yes—
453C22×Dic47C22×C414yes—
454C22×Dic47C22×C414yes—
455C22×Dic47C22×C414yes—
456C22×Dic47C22×C414yes—
457C22×Dic47C22×C414yes—
458C22×Dic47C22×C414yes—
459C22×Dic47#4114yescomplemented
460C22×Dic47C2411yescharacteristic
461C22×Dic47C2411yescharacteristic
462C22×Dic47C2411yescharacteristic
463C22×Dic47C2411yescharacteristic
464C22×Dic47C2411yescharacteristic
465C22×Dic47C2411yescharacteristic
466C22×Dic47C2411yescharacteristic
467C22×Dic47C2411yescharacteristic
468C22×Dic47C2411yescharacteristic
469C22×Dic47C2411yescharacteristic
470C22×Dic47C2411yescharacteristic
471C22×Dic47C2411yescharacteristic
472C22×Dic47C2411yescharacteristic
473C22×Dic47C2411yescharacteristic
474C22×Dic47C2411yescharacteristic
475#10625352—416no—
476C2×C4×D47—22no—
477C2×C4×D47—22no—
478C2×C4×D47—41no—
479C2×C4×D47—41no—
480C2×C4×D47—41no—
481C2×C4×D47—41no—
482C2×C4×D47—41no—
483C2×C4×D47—41no—
484C2×C4×D47C22×C414yes—
485C2×Dic94—22no—
486C2×Dic94—22no—
487C2×Dic94C22×C414yes—
488C4⋊C4×C47—22no—
489C4⋊C4×C47—41no—
490C4⋊C4×C47—41no—
491C22⋊C4×C47—22no—
492C22⋊C4×C47—22no—
493C22⋊C4×C47—22no—
494C22⋊C4×C47—22no—
495C22⋊C4×C47—22no—
496C22⋊C4×C47—22no—
497C22⋊C4×C47—22no—
498C22⋊C4×C47—41no—
499C22⋊C4×C47—41no—
500C22⋊C4×C47—41no—
501C22⋊C4×C47—41no—
502C22⋊C4×C47—41no—
503C22⋊C4×C47—41no—
504C22⋊C4×C47C22×C414yes—
505C22⋊C4×C47C22×C414yes—
506C22⋊C4×C47C22×C414yes—
507C42×C47—22no—
508C42×C47—41no—
509C42×C47—41no—
510C22⋊Dic47—22no—
511C22⋊Dic47—22no—
512C22⋊Dic47—22no—
513C22⋊Dic47—22no—
514C22⋊Dic47—22no—
515C22⋊Dic47—22no—
516C22⋊Dic47—22no—
517C22⋊Dic47—41no—
518C22⋊Dic47—41no—
519C22⋊Dic47—41no—
520C22⋊Dic47—41no—
521C22⋊Dic47—41no—
522C22⋊Dic47—41no—
523C22⋊Dic47C22×C414yes—
524C22⋊Dic47C22×C414yes—
525C22⋊Dic47C22×C414yes—
526C22⋊Dic47C22×C414yes—
527C22⋊Dic47C22×C414yes—
528(C2×D47)⋊C4—22no—
529(C2×D47)⋊C4—22no—
530(C2×D47)⋊C4—41no—
531(C2×D47)⋊C4—41no—
532(C2×D47)⋊C4—41no—
533(C2×D47)⋊C4—41no—
534(C2×D47)⋊C4C22×C414yes—
535(C2×D47)⋊C4C22×C414yes—
536C4⋊Dic47—22no—
537C4⋊Dic47—41no—
538C4⋊Dic47—41no—
539C4⋊Dic47C22×C414yes—
540C4⋊Dic47C22×C414yes—
541Dic47⋊C4—22no—
542Dic47⋊C4—22no—
543Dic47⋊C4—22no—
544Dic47⋊C4—22no—
545Dic47⋊C4—22no—
546Dic47⋊C4—22no—
547Dic47⋊C4—41no—
548Dic47⋊C4—41no—
549Dic47⋊C4—41no—
550Dic47⋊C4—41no—
551Dic47⋊C4C22×C414yes—
552Dic47⋊C4C22×C414yes—
553Dic47⋊C4C22×C414yes—
554Dic47⋊C4C22×C414yes—
555C4×Dic47—22no—
556C4×Dic47—22no—
557C4×Dic47—22no—
558C4×Dic47—22no—
559C4×Dic47—22no—
560C4×Dic47—22no—
561C4×Dic47—22no—
562C4×Dic47—41no—
563C4×Dic47—41no—
564C4×Dic47—41no—
565C4×Dic47—41no—
566C4×Dic47—41no—
567C4×Dic47—41no—
568C4×Dic47—41no—
569C4×Dic47—41no—
570C4×Dic47—41no—
571C4×Dic47—41no—
572C4×Dic47—41no—
573C4×Dic47—41no—
574C4×Dic47—41no—
575C4×Dic47—41no—
576C4×Dic47C22×C414yes—
577C4×Dic47C22×C414yes—
578C23×C47—21no—
579C23×C47—21no—
580C23×C47—21no—
581C23×C47—21no—
582C23×C47—28no—
583C23×C47—21no—
584C23×C47—21no—
585C23×C47—21no—
586C23×C47—21no—
587C23×C47—21no—
588C23×C47—21no—
589C23×C47—21no—
590C23×C47—21no—
591C23×C47—21no—
592C23×C47—21no—
593C23×C47—21no—
594C23×C47—21no—
595C23×C47—21no—
596C23×C47—21no—
597C23×C47—21no—
598C23×C47—21no—
599C23×C47—21no—
600C23×C47—21no—
601C23×C47—44no—
602C23×C47—44no—
603C23×C47—44no—
604C23×C47—44no—
605C23×C47—44no—
606C23×C47—44no—
607C23×C47C23×C412yes—
608C23×C47C23×C412yes—
609C23×C47C23×C412yes—
610C23×C47C23×C412yes—
611C23×C47C2×#4112yes—
612C23×C47C2×#4112yes—
613C23×C47C2511yescharacteristic
614C22×D47—21no—
615C22×D47—21no—
616C22×D47—21no—
617C22×D47—21no—
618C22×D47—21no—
619C22×D47—21no—
620C22×D47C23×C412yes—
621D4×C47—28no—
622D4×C47—44no—
623D4×C47—44no—
624C2×C4×C47—21no—
625C2×C4×C47—21no—
626C2×C4×C47—21no—
627C2×C4×C47—21no—
628C2×C4×C47—21no—
629C2×C4×C47—21no—
630C2×C4×C47—21no—
631C2×C4×C47—21no—
632C2×C4×C47—21no—
633C2×C4×C47—21no—
634C2×C4×C47—21no—
635C2×C4×C47—21no—
636C2×C4×C47—21no—
637C2×C4×C47—21no—
638C2×C4×C47—21no—
639C2×C4×C47—21no—
640C2×C4×C47—21no—
641C2×C4×C47—21no—
642C2×C4×C47—21no—
643C2×C4×C47—21no—
644C2×C4×C47—21no—
645C2×C4×C47—21no—
646C2×C4×C47—21no—
647C2×C4×C47—21no—
648C2×C4×C47—21no—
649C2×C4×C47—21no—
650C2×C4×C47—21no—
651C2×C4×C47—21no—
652C2×C4×C47—44no—
653C2×C4×C47—44no—
654C2×C4×C47—82no—
655C2×C4×C47C23×C412yes—
656C2×C4×C47C23×C412yes—
657C2×C4×C47C23×C412yes—
658C2×C4×C47C2×#4112yes—
659C2×C4×C47C2×#4112yes—
660C22⋊D47—28no—
661C22⋊D47—28no—
662C22⋊D47—44no—
663C22⋊D47—44no—
664C2×Dic47—21no—
665C2×Dic47—21no—
666C2×Dic47—21no—
667C2×Dic47—21no—
668C2×Dic47—21no—
669C2×Dic47—21no—
670C2×Dic47—21no—
671C2×Dic47—21no—
672C2×Dic47—21no—
673C2×Dic47—21no—
674C2×Dic47—21no—
675C2×Dic47—21no—
676C2×Dic47—21no—
677C2×Dic47—21no—
678C2×Dic47—21no—
679C2×Dic47—21no—
680C2×Dic47—28no—
681C2×Dic47—28no—
682C2×Dic47—28no—
683C2×Dic47—21no—
684C2×Dic47—21no—
685C2×Dic47—21no—
686C2×Dic47—21no—
687C2×Dic47—21no—
688C2×Dic47—21no—
689C2×Dic47—21no—
690C2×Dic47—21no—
691C2×Dic47—21no—
692C2×Dic47—21no—
693C2×Dic47—21no—
694C2×Dic47—21no—
695C2×Dic47—21no—
696C2×Dic47—21no—
697C2×Dic47—21no—
698C2×Dic47—21no—
699C2×Dic47—21no—
700C2×Dic47—21no—
701C2×Dic47—44no—
702C2×Dic47—44no—
703C2×Dic47—44no—
704C2×Dic47—44no—
705C2×Dic47—44no—
706C2×Dic47—44no—
707C2×Dic47—82no—
708C2×Dic47C23×C412yes—
709C2×Dic47C23×C412yes—
710C2×Dic47C23×C412yes—
711C2×Dic47C23×C412yes—
712C2×Dic47C23×C412yes—
713C2×Dic47C23×C412yes—
714C2×Dic47C23×C412yes—
715C2×Dic47C2×#4112yes—
716C2×Dic47C2×#4112yes—
717C2×Dic47H(5,𝔽2)12yes—
718C2×Dic47H(5,𝔽2)12yes—
719C4×D47—44no—
720C4×D47—82no—
721C4×D47—82no—
722Dic94—28no—
723#34223—471nomaximal, Sylow
724C22×C47—22no—
725C22×C47—22no—
726C22×C47—22no—
727C22×C47—22no—
728C22×C47—22no—
729C22×C47—22no—
730C22×C47—22no—
731C22×C47—22no—
732C22×C47—22no—
733C22×C47—22no—
734C22×C47—22no—
735C22×C47—22no—
736C22×C47—22no—
737C22×C47—22no—
738C22×C47—22no—
739C22×C47—416no—
740C22×C47—41no—
741C22×C47—41no—
742C22×C47—41no—
743C22×C47—41no—
744C22×C47—41no—
745C22×C47—41no—
746C22×C47—41no—
747C22×C47—41no—
748C22×C47—41no—
749C22×C47—41no—
750C22×C47—41no—
751C22×C47—41no—
752C22×C47C4×#4114yes—
753C22×C47C24×C411yescharacteristic
754C22×C47C22×#4111yescharacteristic
755C22×C47C22×#4111yescharacteristic
756C22×C47C2×H(5,𝔽2)11yescharacteristic
757C22×C47C2×H(5,𝔽2)11yescharacteristic
758C22×C47#58511yescharacteristic
759C22×C47#58511yescharacteristic
760C2×D47—22no—
761C2×D47—22no—
762C2×D47—22no—
763C2×D47—41no—
764C2×D47—41no—
765C2×D47—41no—
766C2×D47—41no—
767C4×C47—22no—
768C4×C47—22no—
769C4×C47—22no—
770C4×C47—22no—
771C4×C47—22no—
772C4×C47—41no—
773C4×C47—41no—
774C4×C47—41no—
775C4×C47—41no—
776C4×C47—41no—
777C4×C47—41no—
778Dic47—22no—
779Dic47—22no—
780Dic47—22no—
781Dic47—22no—
782Dic47—22no—
783Dic47—22no—
784Dic47—22no—
785Dic47—22no—
786Dic47—41no—
787Dic47—41no—
788Dic47—41no—
789Dic47—41no—
790Dic47—41no—
791Dic47—41no—
792Dic47#51814yes—
793C2×#525—471no—
794#2374—471no—
795#2374—471no—
796#2374—471no—
797#2374—471no—
798#2363—471no—
799#2363—471no—
800#2362—471no—
801#2362—471no—
802#2357—471no—
803#2357—471no—
804#2353—471no—
805#2353—471no—
806#2347—471no—
807#2346—471no—
808#2341—471no—
809#2339—471no—
810#2321—471no—
811#2321—471no—
812#2321—471no—
813#2321D4711yescharacteristic, complemented
814#2318—471no—
815#2318—471no—
816C4×C22⋊Q8—471no—
817C4×C22⋊Q8—471no—
818C4×#121—471no—
819C4×#121—471no—
820#2280—471no—
821#2275—471no—
822#2275—471no—
823C2×C4×C22⋊C4—471no—
824C2×C47—24no—
825C2×C47—42no—
826C2×C47—42no—
827C2×C47—42no—
828C2×C47C2×C4×#4111yescharacteristic
829C2×C47C2×#51811yescharacteristic
830C2×C47#342811yescharacteristic
831C2×C47#350511yescharacteristic
832C2×C47#350511yescharacteristic
833C2×C47#350611yescharacteristic
834C2×C47#350611yescharacteristic
835D47—42no—
836C22×#41—471no—
837C24×C4—471no—
838#525—4716no—
839C2×#123—471no—
840C2×#123—471no—
841C2×C22⋊Q8—471no—
842C2×C22⋊Q8—471no—
843C2×#121—471no—
844C2×#121—471no—
845C2×#120—471no—
846C2×#120C2×D4711yescharacteristic
847C2×C4×Q8—471no—
848C2×C4×Q8—471no—
849C2×C4×D4—471no—
850C2×C4×D4—471no—
851C2×C4×D4—471no—
852C2×C4×D4—471no—
853C2×C4×D4—471no—
854C2×C4×D4—471no—
855C2×C4×D4—471no—
856C2×C4×D4—471no—
857C2×C4×D4—471no—
858C2×C4×D4C2×D4711yescharacteristic
859C2×#117—471no—
860C2×#117—471no—
861C2×#117—471no—
862C22×C22⋊C4—471no—
863C22×C22⋊C4C2×D4711yescharacteristic
864C22×C42—471no—
865C22×C42—471no—
866#391—471no—
867#391—471no—
868#390—471no—
869#390—471no—
870#390—471no—
871#390—471no—
872#390—471no—
873#390—471no—
874#390—471no—
875#390—471no—
876#390C2×D4711yescharacteristic
877#390C2×D4711yescharacteristic
878#389—471no—
879#389—471no—
880#389—471no—
881#389—471no—
882#388—471no—
883#388—471no—
884#388—471no—
885#388—471no—
886#388—471no—
887#388—471no—
888#388—471no—
889#388—471no—
890#388—471no—
891#388—471no—
892#388—471no—
893#388—471no—
894#388—471no—
895#388—471no—
896#388—471no—
897#388—471no—
898#388—471no—
899#388—471no—
900#388—471no—
901#388—471no—
902#388C2×D4711yescharacteristic
903#388C2×D4711yescharacteristic
904#388C2×D4711yescharacteristic
905#388C2×D4711yescharacteristic
906#387—471no—
907#387—471no—
908#387—471no—
909#387—471no—
910#387—471no—
911#387—471no—
912#387—471no—
913#387—471no—
914#386—471no—
915#386—471no—
916#386—471no—
917#386—471no—
918#386—471no—
919#386—471no—
920#386—471no—
921#386—471no—
922#386—471no—
923#386C2×D4711yescharacteristic
924#386C2×D4711yescharacteristic
925#386C2×D4711yescharacteristic
926#385—471no—
927#385—471no—
928#385—471no—
929#385C2×D4711yescharacteristic
930#383—471no—
931#383—471no—
932#382—471no—
933#382—471no—
934#381—471no—
935#381—471no—
936#381—471no—
937#381—471no—
938#380—471no—
939#380—471no—
940#380—471no—
941#380—471no—
942#380—471no—
943#380—471no—
944#379—471no—
945#379C2×D4711yescharacteristic
946C4×C4⋊C4—471no—
947C4×C4⋊C4—471no—
948C4×C4⋊C4—471no—
949C4×C4⋊C4—471no—
950C4×C4⋊C4—471no—
951C4×C4⋊C4—471no—
952C4×C4⋊C4—471no—
953C4×C4⋊C4—471no—
954C4×C4⋊C4—471no—
955C4×C4⋊C4—471no—
956C4×C4⋊C4—471no—
957C4×C4⋊C4—471no—
958C4×C4⋊C4—471no—
959C4×C4⋊C4—471no—
960C4×C22⋊C4—471no—
961C4×C22⋊C4—471no—
962C4×C22⋊C4—471no—
963C4×C22⋊C4—471no—
964C4×C22⋊C4—471no—
965C4×C22⋊C4—471no—
966C4×C22⋊C4—471no—
967C4×C22⋊C4—471no—
968C4×C22⋊C4—471no—
969C4×C22⋊C4—471no—
970C4×C22⋊C4—471no—
971C4×C22⋊C4—471no—
972C4×C22⋊C4—471no—
973C4×C22⋊C4—471no—
974C4×C22⋊C4—471no—
975C4×C22⋊C4—471no—
976C4×C22⋊C4—471no—
977C4×C22⋊C4—471no—
978C4×C22⋊C4—471no—
979C4×C22⋊C4—471no—
980C4×C22⋊C4—471no—
981C4×C22⋊C4—471no—
982C4×C22⋊C4—471no—
983C4×C22⋊C4—471no—
984C4×C22⋊C4—471no—
985C4×C22⋊C4C2×D4711yescharacteristic
986#376—471no—
987#376—471no—
988C2×#95—471no—
989C2×#95—471no—
990C2×#95—471no—
991C2×#95—471no—
992C47#3422311yescharacteristic, complemented, Sylow
993C25C22×D4711yescharacteristic
994C2×#41—478no—
995C2×#41—1882no—
996C2×#41—1882no—
997C22×Q8—471no—
998C22×D4—471no—
999C22×D4—471no—
1000C22×D4—471no—
1001C22×D4—471no—
1002C22×D4C22×D4711yescharacteristic
1003C22×D4C22×D4711yescharacteristic
1004C22×D4C22×D4711yescharacteristic
1005C23×C4—471no—
1006C23×C4—471no—
1007C23×C4—471no—
1008C23×C4—478no—
1009C23×C4—471no—
1010C23×C4—471no—
1011C23×C4—471no—
1012C23×C4—471no—
1013C23×C4—471no—
1014C23×C4—471no—
1015C23×C4—471no—
1016C23×C4—471no—
1017C23×C4—471no—
1018C23×C4—471no—
1019C23×C4—1882no—
1020C23×C4—1882no—
1021C23×C4C22×D4711yescharacteristic
1022C23×C4C22×D4711yescharacteristic
1023C23×C4C22×D4711yescharacteristic
1024#123—478no—
1025#123—478no—
1026C22⋊Q8—478no—
1027C22⋊Q8—478no—
1028#121—478no—
1029#121—478no—
1030#120—478no—
1031#120C4×D4718yescomplemented
1032C4×Q8—1882no—
1033C4×Q8—1882no—
1034C4×D4—24no—
1035C4×D4—478no—
1036C4×D4—478no—
1037C4×D4—478no—
1038C4×D4—478no—
1039C4×D4—944no—
1040C4×D4—944no—
1041C4×D4—944no—
1042C4×D4—1882no—
1043C4×D4—1882no—
1044#117—478no—
1045#117—1882no—
1046#117—1882no—
1047C2×C4⋊C4—471no—
1048C2×C4⋊C4—471no—
1049C2×C4⋊C4—471no—
1050C2×C4⋊C4—471no—
1051C2×C4⋊C4—471no—
1052C2×C4⋊C4—471no—
1053C2×C4⋊C4—471no—
1054C2×C4⋊C4—471no—
1055C2×C4⋊C4—471no—
1056C2×C4⋊C4—471no—
1057C2×C4⋊C4—471no—
1058C2×C4⋊C4—471no—
1059C2×C4⋊C4—471no—
1060C2×C4⋊C4—471no—
1061C2×C4⋊C4—471no—
1062C2×C4⋊C4—471no—
1063C2×C4⋊C4—471no—
1064C2×C4⋊C4—471no—
1065C2×C4⋊C4—471no—
1066C2×C4⋊C4C22×D4711yescharacteristic
1067C2×C4⋊C4C22×D4711yescharacteristic
1068C2×C4⋊C4C22×D4711yescharacteristic
1069C2×C22⋊C4—24no—
1070C2×C22⋊C4—471no—
1071C2×C22⋊C4—471no—
1072C2×C22⋊C4—471no—
1073C2×C22⋊C4—471no—
1074C2×C22⋊C4—471no—
1075C2×C22⋊C4—471no—
1076C2×C22⋊C4—471no—
1077C2×C22⋊C4—471no—
1078C2×C22⋊C4—471no—
1079C2×C22⋊C4—471no—
1080C2×C22⋊C4—471no—
1081C2×C22⋊C4—471no—
1082C2×C22⋊C4—471no—
1083C2×C22⋊C4—471no—
1084C2×C22⋊C4—471no—
1085C2×C22⋊C4—471no—
1086C2×C22⋊C4—471no—
1087C2×C22⋊C4—471no—
1088C2×C22⋊C4—471no—
1089C2×C22⋊C4—471no—
1090C2×C22⋊C4—471no—
1091C2×C22⋊C4—471no—
1092C2×C22⋊C4—471no—
1093C2×C22⋊C4—471no—
1094C2×C22⋊C4—471no—
1095C2×C22⋊C4—471no—
1096C2×C22⋊C4—944no—
1097C2×C22⋊C4C22×D4711yescharacteristic
1098C2×C22⋊C4C22×D4711yescharacteristic
1099C2×C22⋊C4C22×D4711yescharacteristic
1100C2×C22⋊C4C22×D4711yescharacteristic
1101C2×C22⋊C4C22×D4711yescharacteristic
1102C2×C22⋊C4C22×D4711yescharacteristic
1103C2×C22⋊C4C22×D4711yescharacteristic
1104C2×C22⋊C4C22×D4711yescharacteristic
1105C2×C22⋊C4C22×D4711yescharacteristic
1106C2×C22⋊C4C22×D4711yescharacteristic
1107C2×C22⋊C4C22×D4711yescharacteristic
1108C2×C22⋊C4C22×D4711yescharacteristic
1109C2×C22⋊C4C22×D4711yescharacteristic
1110C2×C22⋊C4C22×D4711yescharacteristic
1111C2×C22⋊C4C22×D4711yescharacteristic
1112C2×C22⋊C4C22×D4711yescharacteristic
1113C2×C42—471no—
1114C2×C42—471no—
1115C2×C42—471no—
1116C2×C42—471no—
1117C2×C42—471no—
1118C2×C42—471no—
1119C2×C42—471no—
1120C2×C42—471no—
1121C2×C42—471no—
1122C2×C42—471no—
1123C2×C42—471no—
1124C2×C42—471no—
1125C2×C42—471no—
1126C2×C42—471no—
1127C2×C42—471no—
1128C2×C42—471no—
1129C2×C42—471no—
1130C2×C42—471no—
1131C2×C42—471no—
1132C2×C42—471no—
1133C2×C42—471no—
1134C2×C42—471no—
1135C2×C42—471no—
1136C2×C42—1882no—
1137C2×C42—1882no—
1138C2×C42C22×D4711yescharacteristic
1139C2×C42C22×D4711yescharacteristic
1140C2×C42C22×D4711yescharacteristic
1141#95—471no—
1142#95—471no—
1143#95—471no—
1144#95—471no—
1145#95—471no—
1146#95—471no—
1147#95—471no—
1148#95—471no—
1149#95—471no—
1150#95—471no—
1151#95—471no—
1152#95—471no—
1153#95—471no—
1154#95—471no—
1155#95—471no—
1156#95—471no—
1157#95—471no—
1158#95—471no—
1159#95—471no—
1160#95—471no—
1161#95—471no—
1162#95—471no—
1163#95—471no—
1164#95—471no—
1165#95—471no—
1166#95—471no—
1167#95—471no—
1168#95—471no—
1169#95—471no—
1170#95—471no—
1171#95—471no—
1172#95—471no—
1173#95—471no—
1174#95—471no—
1175#95C22×D4711yescharacteristic
1176#95C22×D4711yescharacteristic
1177#95C22×D4711yescharacteristic
1178#95C22×D4711yescharacteristic
1179#95C22×D4711yescharacteristic
1180#95C22×D4711yescharacteristic
1181C24—22no—
1182C24—22no—
1183C24—41no—
1184C24—41no—
1185C24—41no—
1186C24—41no—
1187C24—471no—
1188C24C2×C4×D4714yes—
1189C24C23×D4711yescharacteristic
1190C24C23×D4711yescharacteristic
1191C24C23×D4711yescharacteristic
1192C24C23×D4711yescharacteristic
1193#41—18816no—
1194C2×Q8—474no—
1195C2×Q8—942no—
1196C2×Q8—942no—
1197C2×D4—22no—
1198C2×D4—22no—
1199C2×D4—41no—
1200C2×D4—41no—
1201C2×D4—41no—
1202C2×D4—41no—
1203C2×D4—474no—
1204C2×D4—474no—
1205C2×D4—474no—
1206C2×D4—474no—
1207C2×D4—942no—
1208C2×D4—942no—
1209C2×D4—942no—
1210C2×D4—942no—
1211C2×D4—1881no—
1212C2×D4—1881no—
1213C2×D4—1881no—
1214C2×D4—1881no—
1215C2×D4C2×C4×D4714yes—
1216C2×D4C2×C4×D4714yes—
1217C2×D4C2×C4×D4714yes—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—471no—
1227C22×C4—474no—
1228C22×C4—474no—
1229C22×C4—474no—
1230C22×C4—471no—
1231C22×C4—471no—
1232C22×C4—471no—
1233C22×C4—471no—
1234C22×C4—471no—
1235C22×C4—471no—
1236C22×C4—471no—
1237C22×C4—471no—
1238C22×C4—474no—
1239C22×C4—474no—
1240C22×C4—474no—
1241C22×C4—474no—
1242C22×C4—474no—
1243C22×C4—474no—
1244C22×C4—471no—
1245C22×C4—471no—
1246C22×C4—471no—
1247C22×C4—471no—
1248C22×C4—471no—
1249C22×C4—471no—
1250C22×C4—942no—
1251C22×C4—942no—
1252C22×C4—942no—
1253C22×C4—942no—
1254C22×C4—942no—
1255C22×C4—942no—
1256C22×C4—942no—
1257C22×C4—942no—
1258C22×C4—942no—
1259C22×C4—942no—
1260C22×C4—1881no—
1261C22×C4—1881no—
1262C22×C4—1881no—
1263C22×C4—1881no—
1264C22×C4—1881no—
1265C22×C4—1881no—
1266C22×C4—18816no—
1267C22×C4—1881no—
1268C22×C4—1881no—
1269C22×C4—1881no—
1270C22×C4—1881no—
1271C22×C4—1881no—
1272C22×C4—1881no—
1273C22×C4—1881no—
1274C22×C4—1881no—
1275C22×C4—1881no—
1276C22×C4—1881no—
1277C22×C4—1881no—
1278C22×C4—1881no—
1279C22×C4—1881no—
1280C22×C4—1881no—
1281C22×C4#1062535214yescomplemented
1282C22×C4C23×D4711yescharacteristic
1283C22×C4C23×D4711yescharacteristic
1284C22×C4C23×D4711yescharacteristic
1285C22×C4C23×D4711yescharacteristic
1286C22×C4C23×D4711yescharacteristic
1287C22×C4C23×D4711yescharacteristic
1288C22×C4C23×D4711yescharacteristic
1289C22×C4C23×D4711yescharacteristic
1290C22×C4C23×D4711yescharacteristic
1291C22×C4C23×D4711yescharacteristic
1292C22×C4C23×D4711yescharacteristic
1293C4⋊C4—22no—
1294C4⋊C4—41no—
1295C4⋊C4—41no—
1296C4⋊C4—474no—
1297C4⋊C4—474no—
1298C4⋊C4—474no—
1299C4⋊C4—474no—
1300C4⋊C4—474no—
1301C4⋊C4—474no—
1302C4⋊C4—942no—
1303C4⋊C4—942no—
1304C4⋊C4—942no—
1305C4⋊C4—942no—
1306C4⋊C4—942no—
1307C4⋊C4—942no—
1308C4⋊C4—942no—
1309C4⋊C4—1881no—
1310C4⋊C4—1881no—
1311C4⋊C4—1881no—
1312C4⋊C4—1881no—
1313C4⋊C4—1881no—
1314C4⋊C4—1881no—
1315C22⋊C4—22no—
1316C22⋊C4—22no—
1317C22⋊C4—22no—
1318C22⋊C4—22no—
1319C22⋊C4—22no—
1320C22⋊C4—22no—
1321C22⋊C4—22no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—474no—
1329C22⋊C4—474no—
1330C22⋊C4—474no—
1331C22⋊C4—474no—
1332C22⋊C4—474no—
1333C22⋊C4—474no—
1334C22⋊C4—474no—
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—1881no—
1345C22⋊C4—1881no—
1346C22⋊C4—1881no—
1347C22⋊C4—1881no—
1348C22⋊C4—1881no—
1349C22⋊C4—1881no—
1350C22⋊C4—1881no—
1351C22⋊C4—1881no—
1352C22⋊C4—1881no—
1353C22⋊C4—1881no—
1354C22⋊C4C2×C4×D4714yes—
1355C22⋊C4C2×C4×D4714yes—
1356C22⋊C4C2×C4×D4714yes—
1357C42—22no—
1358C42—41no—
1359C42—41no—
1360C42—474no—
1361C42—474no—
1362C42—942no—
1363C42—942no—
1364C42—942no—
1365C42—942no—
1366C42—942no—
1367C42—942no—
1368C42—942no—
1369C42—1881no—
1370C42—1881no—
1371C42—1881no—
1372C42—1881no—
1373C42—1881no—
1374C42—1881no—
1375C42—1881no—
1376C42—1881no—
1377C42—1881no—
1378C42—1881no—
1379C42—1881no—
1380C42—1881no—
1381C42—1881no—
1382C42—1881no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—28no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—44no—
1407C23—44no—
1408C23—44no—
1409C23—44no—
1410C23—44no—
1411C23—44no—
1412C23—472no—
1413C23—941no—
1414C23—941no—
1415C23—941no—
1416C23—941no—
1417C23—941no—
1418C23—941no—
1419C23C22×C4×D4712yes—
1420C23C22×C4×D4712yes—
1421C23C22×C4×D4712yes—
1422C23C22×C4×D4712yes—
1423C23#41×D4712yes—
1424C23C2×#1062535212yes—
1425C23C24×D4711yescharacteristic
1426Q8—948no—
1427D4—28no—
1428D4—44no—
1429D4—44no—
1430D4—948no—
1431D4—948no—
1432D4—1884no—
1433D4—1884no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—44no—
1463C2×C4—44no—
1464C2×C4—82no—
1465C2×C4—472no—
1466C2×C4—472no—
1467C2×C4—472no—
1468C2×C4—472no—
1469C2×C4—472no—
1470C2×C4—472no—
1471C2×C4—472no—
1472C2×C4—472no—
1473C2×C4—472no—
1474C2×C4—472no—
1475C2×C4—472no—
1476C2×C4—948no—
1477C2×C4—948no—
1478C2×C4—948no—
1479C2×C4—941no—
1480C2×C4—941no—
1481C2×C4—941no—
1482C2×C4—941no—
1483C2×C4—941no—
1484C2×C4—941no—
1485C2×C4—941no—
1486C2×C4—941no—
1487C2×C4—941no—
1488C2×C4—941no—
1489C2×C4—941no—
1490C2×C4—941no—
1491C2×C4—941no—
1492C2×C4—941no—
1493C2×C4—941no—
1494C2×C4—941no—
1495C2×C4—941no—
1496C2×C4—941no—
1497C2×C4—941no—
1498C2×C4—941no—
1499C2×C4—941no—
1500C2×C4—941no—
1501C2×C4—941no—
1502C2×C4—941no—
1503C2×C4—941no—
1504C2×C4—941no—
1505C2×C4—941no—
1506C2×C4—941no—
1507C2×C4—941no—
1508C2×C4—941no—
1509C2×C4—941no—
1510C2×C4—941no—
1511C2×C4—941no—
1512C2×C4—941no—
1513C2×C4—3762no—
1514C2×C4—3762no—
1515C2×C4—3762no—
1516C2×C4—1884no—
1517C2×C4—1884no—
1518C2×C4—1884no—
1519C2×C4—1884no—
1520C2×C4—1884no—
1521C2×C4—1884no—
1522C2×C4—1884no—
1523C2×C4C22×C4×D4712yes—
1524C2×C4C22×C4×D4712yes—
1525C2×C4C22×C4×D4712yes—
1526C2×C4C2×#1062535212yes—
1527C2×C4C2×#1062535212yes—
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—22no—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—416no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—942no—
1557C22—942no—
1558C22—942no—
1559C22—1881no—
1560C22—1881no—
1561C22—1881no—
1562C22—1881no—
1563C22C4×#1062535214yes—
1564C22C23×C4×D4711yescharacteristic
1565C22C2×#41×D4711yescharacteristic
1566C22C22×#1062535211yescharacteristic
1567C22H(5,𝔽2)×D4711yescharacteristic
1568C22H(5,𝔽2)×D4711yescharacteristic
1569C22#1568995811yescharacteristic
1570C22#1568995811yescharacteristic
1571C4—22no—
1572C4—22no—
1573C4—22no—
1574C4—22no—
1575C4—22no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—41no—
1582C4—474no—
1583C4—942no—
1584C4—942no—
1585C4—942no—
1586C4—942no—
1587C4—942no—
1588C4—942no—
1589C4—942no—
1590C4—942no—
1591C4—1881no—
1592C4—1881no—
1593C4—1881no—
1594C4—1881no—
1595C4—1881no—
1596C4—1881no—
1597C2—24no—
1598C2—42no—
1599C2—42no—
1600C2—42no—
1601C2—1882no—
1602C2C2×C4×#1062535211yescharacteristic
1603C2#518×D4711yescharacteristic
1604C2#2025658611yescharacteristic
1605C2#2025722511yescharacteristic
1606C2#2025722611yescharacteristic
1607C2#2025723511yescharacteristic
1608C2#2025723911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutatorC22×C47C24×C4
FittingC47×#2321C2
socle, cosocleC23×C47C25
prime radicalC2×#15689629C2
hypercenter#2321D47
hypocenterC47#34223
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2321

Complements

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

NH ≅ G/Ntype
2. #20246523C2semidirect
3. #20246521C2semidirect
4. #20246518C2semidirect
5. #20246518C2semidirect
6. #20246429C2semidirect
7. #20246423C2semidirect
8. #20246418C2semidirect
9. #20246412C2semidirect
10. #20246360C2semidirect
11. #20246358C2semidirect
12. #20246326C2semidirect
13. #20246323C2semidirect
14. #20246278C2semidirect
15. #20246270C2semidirect
16. #20246227C2semidirect
17. #20246214C2semidirect
18. #20246049C2semidirect
19. #20246046C2semidirect
20. #20246043C2semidirect
21. #20246016C2semidirect
22. #20246014C2semidirect
23. #20245920C2semidirect
24. C4×#13094001C2semidirect
25. #20245898C2semidirect
26. C4×#13093996C2semidirect
27. #20245766C2semidirect
28. #20245749C2semidirect
29. #20245747C2semidirect
30. C2×C22⋊C4×Dic47C2semidirect
31. C47×#2321C2semidirect
34. #15689629C4semidirect
42. C2×C4×Dic94C22semidirect
43. C2×#13093989C22semidirect
48. C2×C4×C22⋊D47C22semidirect
52. C2×(C22⋊D47)⋊C4C22semidirect
59. #15689027C22semidirect
60. #15689027C22semidirect
67. #15689023C22semidirect
68. #15689023C22semidirect
69. #15689020C22semidirect
70. #15689020C22semidirect
71. #15689018C22semidirect
72. #15689018C22semidirect
77. #15689017C22semidirect
78. #15689017C22semidirect
83. #15689015C22semidirect
84. #15689015C22semidirect
85. #15689013C22semidirect
86. #15689013C22semidirect
91. #15689011C22semidirect
92. #15689011C22semidirect
93. #15689010C22semidirect
94. #15689010C22semidirect
95. #15689008C22semidirect
96. #15689008C22semidirect
97. #15689006C22semidirect
98. #15689006C22semidirect
99. #15689004C22semidirect
100. #15689004C22semidirect
113. #15688990C22semidirect
114. #15688990C22semidirect
115. #15688988C22semidirect
116. #15688987C22semidirect
117. #15688985C22semidirect
120. #15688984C22semidirect
125. #15688981C22semidirect
126. #15688980C22semidirect
128. C4⋊C4×Dic47C22semidirect
129. C4⋊C4×Dic47C22semidirect
130. C4⋊C4×Dic47C22semidirect
131. C4×Dic47⋊C4C22semidirect
132. C4×Dic47⋊C4C22semidirect
133. C4×Dic47⋊C4C22semidirect
134. C4×Dic47⋊C4C22semidirect
135. C4×Dic47⋊C4C22semidirect
136. C4×C4⋊Dic47C22semidirect
137. C4×C4⋊Dic47C22semidirect
138. #15688974C22semidirect
139. #15688974C22semidirect
140. #15688974C22semidirect
141. #15688974C22semidirect
156. C22⋊C4×Dic47C22semidirect
157. C22⋊C4×Dic47C22semidirect
158. C22⋊C4×Dic47C22semidirect
159. C4×(C2×D47)⋊C4C22semidirect
160. C4×(C2×D47)⋊C4C22semidirect
161. C4×(C2×D47)⋊C4C22semidirect
163. C4×C22⋊Dic47C22semidirect
164. C4×C22⋊Dic47C22semidirect
165. #15688970C22semidirect
166. #15688970C22semidirect
167. #15688969C22semidirect
168. #15688968C22semidirect
171. C2×C47⋊#95C22semidirect
172. #95×D47C22semidirect
190. C2×#10625352C2×C4semidirect
198. C23×Dic47C2×C4semidirect
212. #13094008C2×C4semidirect
213. #13094005C2×C4semidirect
214. #13094001C2×C4semidirect
215. #13094001C2×C4semidirect
217. #13093996C2×C4semidirect
218. #13093993C2×C4semidirect
222. D4×Dic47C2×C4semidirect
223. D4×Dic47C2×C4semidirect
228. (C22⋊D47)⋊C4C2×C4semidirect
229. (C22⋊D47)⋊C4C2×C4semidirect
232. #13093980C2×C4semidirect
345. #120×C47C2×C4semidirect
405. C22×C4×C47#41semidirect
459. C22×Dic47#41semidirect
813. #2321D47semidirect
992. C47#34223semidirect
1031. #120C4×D47semidirect
1281. C22×C4#10625352semidirect

Maximal subgroups

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

subgroupindex
C2×#156896292
#202465232
#202465212
#202465182
#202464292
#202464232
#202464182
#202464122
#202463602
#202463582
#202463262
#202463232
#202462782
#202462702
#202462272
#202462142
#202460492
#202460462
#202460432
#202460162
#202460142
#202459202
C4×#130940012
#202458982
C4×#130939962
#202457662
#202457492
#202457472
C2×C22⋊C4×Dic472
C47×#23212
#3422347