Finite Group Databasebeta

← #26379672

Subgroups — #26379672

Order 12032.

2810 conjugacy classes of subgroups.

The subgroup lattice has 1762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689682C211yesmaximal, characteristic
2#20246546C211yesmaximal, characteristic, complemented
3#20246539C211yesmaximal, characteristic, complemented
4#20246532C211yesmaximal, characteristic, complemented
5#20246527C211yesmaximal, characteristic, complemented
6#20246519C211yesmaximal, characteristic, complemented
7#20246429C211yesmaximal, characteristic, complemented
8#20246423C211yesmaximal, characteristic, complemented
9#20246368C211yesmaximal, characteristic, complemented
10#20246368C211yesmaximal, characteristic, complemented
11#20246367C211yesmaximal, characteristic, complemented
12#20246365C211yesmaximal, characteristic, complemented
13#20246365C211yesmaximal, characteristic, complemented
14#20246239C211yesmaximal, characteristic, complemented
15#20246233C211yesmaximal, characteristic, complemented
16D4×C22⋊Dic47C211yesmaximal, characteristic, complemented
17#20246178C211yesmaximal, characteristic, complemented
18#20246174C211yesmaximal, characteristic, complemented
19#20246154C211yesmaximal, characteristic, complemented
20#20246147C211yesmaximal, characteristic, complemented
21#20246078C211yesmaximal, characteristic, complemented
22#20246074C211yesmaximal, characteristic, complemented
23#20246062C211yesmaximal, characteristic, complemented
24#20246053C211yesmaximal, characteristic, complemented
25#20246046C211yesmaximal, characteristic, complemented
26#20246043C211yesmaximal, characteristic, complemented
27#20245964C211yesmaximal, characteristic, complemented
28#20245913C211yesmaximal, characteristic, complemented
29C4×#13094005C211yesmaximal, characteristic, complemented
30C2×#15689023C211yesmaximal, characteristic, complemented
31D4×C22⋊C4×C47C211yesmaximal, characteristic, complemented
32C23×C22⋊D47C2211yescharacteristic
33#15689682C4116yescomplemented
34C2×#13094007C2211yescharacteristic
35C2×#13094007C2211yescharacteristic
36C2×#13094005C2211yescharacteristic
37C2×#13094005C2211yescharacteristic
38C2×#13093996C2211yescharacteristic
39C2×#13093996C2211yescharacteristic
40C2×#13093996C2211yescharacteristic
41C2×#13093996C2211yescharacteristic
42C2×#13093993C2211yescharacteristic
43C2×#13093993C2211yescharacteristic
44C2×#13093992C2211yescharacteristic
45C2×#13093992C2211yescharacteristic
46C2×D4×Dic47C2211yescharacteristic
47C2×D4×Dic47C2211yescharacteristic
48C2×C4×C22⋊D47C2211yescharacteristic, complemented
49C2×C4×C22⋊D47C2211yescharacteristic, complemented
50C2×(C22⋊D47)⋊C4C2211yescharacteristic, complemented
51C2×(C22⋊D47)⋊C4C2211yescharacteristic, complemented
52C2×#13093980C2211yescharacteristic, complemented
53C2×#13093980C2211yescharacteristic, complemented
54C22×Dic47⋊C4C2211yescharacteristic, complemented
55C22×C22⋊Dic47C2211yescharacteristic
56C22×C22⋊Dic47C2211yescharacteristic
57C22×C22⋊Dic47C2211yescharacteristic, complemented
58C22×(C2×D47)⋊C4C2211yescharacteristic, complemented
59C22×(C2×D47)⋊C4C2211yescharacteristic, complemented
60C2×C22⋊C4×D47C2211yescharacteristic, complemented
61C2×C22⋊C4×D47C2211yescharacteristic, complemented
62C22×C4×Dic47C2211yescharacteristic, complemented
63#15689026C2211yescharacteristic, complemented
64#15689026C2211yescharacteristic, complemented
65#15689023C2211yescharacteristic
66#15689023C2211yescharacteristic
67#15689023C2211yescharacteristic
68#15689023C2211yescharacteristic
69#15689023C2211yescharacteristic, complemented
70#15689023C2211yescharacteristic, complemented
71#15689023C2211yescharacteristic, complemented
72#15689023C2211yescharacteristic, complemented
73#15689023C2211yescharacteristic, complemented
74#15689023C2211yescharacteristic, complemented
75#15689023C2211yescharacteristic, complemented
76#15689023C2211yescharacteristic, complemented
77#15689020C2211yescharacteristic, complemented
78#15689020C2211yescharacteristic, complemented
79#15689018C2211yescharacteristic, complemented
80#15689018C2211yescharacteristic, complemented
81#15689017C2211yescharacteristic, complemented
82#15689017C2211yescharacteristic, complemented
83#15689017C2211yescharacteristic, complemented
84#15689017C2211yescharacteristic, complemented
85#15689017C2211yescharacteristic, complemented
86#15689017C2211yescharacteristic, complemented
87#15689017C2211yescharacteristic, complemented
88#15689017C2211yescharacteristic, complemented
89#15689015C2211yescharacteristic, complemented
90#15689015C2211yescharacteristic, complemented
91#15689014C2211yescharacteristic, complemented
92#15689014C2211yescharacteristic, complemented
93#15689013C2211yescharacteristic, complemented
94#15689013C2211yescharacteristic, complemented
95#15689012C2211yescharacteristic, complemented
96#15689012C2211yescharacteristic, complemented
97#15689011C2211yescharacteristic, complemented
98#15689011C2211yescharacteristic, complemented
99#15689011C2211yescharacteristic, complemented
100#15689011C2211yescharacteristic, complemented
101#15689011C2211yescharacteristic, complemented
102#15689011C2211yescharacteristic, complemented
103#15689011C2211yescharacteristic, complemented
104#15689011C2211yescharacteristic, complemented
105#15689010C2211yescharacteristic, complemented
106#15689010C2211yescharacteristic, complemented
107#15689007C2211yescharacteristic, complemented
108#15689007C2211yescharacteristic, complemented
109#15689005C2211yescharacteristic, complemented
110#15689005C2211yescharacteristic, complemented
111#15689004C2211yescharacteristic, complemented
112#15689004C2211yescharacteristic, complemented
113#15689003C2211yescharacteristic
114#15689003C2211yescharacteristic
115#15689003C2211yescharacteristic, complemented
116#15689003C2211yescharacteristic, complemented
117#15689002C2211yescharacteristic, complemented
118#15689002C2211yescharacteristic, complemented
119#15689000C2211yescharacteristic, complemented
120#15689000C2211yescharacteristic, complemented
121#15688999C2211yescharacteristic
122#15688999C2211yescharacteristic
123#15688999C2211yescharacteristic
124#15688999C2211yescharacteristic
125#15688999C2211yescharacteristic, complemented
126#15688999C2211yescharacteristic, complemented
127#15688999C2211yescharacteristic, complemented
128#15688999C2211yescharacteristic, complemented
129#15688999C2211yescharacteristic, complemented
130#15688999C2211yescharacteristic, complemented
131#15688999C2211yescharacteristic, complemented
132#15688999C2211yescharacteristic, complemented
133#15688997C2211yescharacteristic, complemented
134#15688997C2211yescharacteristic, complemented
135#15688996C2211yescharacteristic, complemented
136#15688996C2211yescharacteristic, complemented
137#15688996C2211yescharacteristic, complemented
138#15688996C2211yescharacteristic, complemented
139#15688995C2211yescharacteristic, complemented
140#15688995C2211yescharacteristic, complemented
141#15688995C2211yescharacteristic, complemented
142#15688995C2211yescharacteristic, complemented
143#15688994C2211yescharacteristic, complemented
144#15688994C2211yescharacteristic, complemented
145#15688984C2211yescharacteristic, complemented
146#15688984C2211yescharacteristic, complemented
147#15688984C2211yescharacteristic, complemented
148#15688984C2211yescharacteristic, complemented
149#15688983C2211yescharacteristic, complemented
150#15688981C2211yescharacteristic, complemented
151#15688981C2211yescharacteristic, complemented
152#15688979C2211yescharacteristic
153#15688979C2211yescharacteristic, complemented
154C4×Dic47⋊C4C2211yescharacteristic, complemented
155C4×Dic47⋊C4C2211yescharacteristic, complemented
156#15688974C2211yescharacteristic, complemented
157#15688974C2211yescharacteristic, complemented
158C22⋊C4×Dic47C2211yescharacteristic, complemented
159C22⋊C4×Dic47C2211yescharacteristic, complemented
160C22⋊C4×Dic47C2211yescharacteristic, complemented
161C22⋊C4×Dic47C2211yescharacteristic, complemented
162C22⋊C4×Dic47C2211yescharacteristic, complemented
163C22⋊C4×Dic47C2211yescharacteristic, complemented
164C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
165C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
166C4×C22⋊Dic47C2211yescharacteristic, complemented
167C4×C22⋊Dic47C2211yescharacteristic, complemented
168C4×C22⋊Dic47C2211yescharacteristic, complemented
169C4×C22⋊Dic47C2211yescharacteristic, complemented
170C4×C22⋊Dic47C2211yescharacteristic, complemented
171#15688970C2211yescharacteristic, complemented
172#15688970C2211yescharacteristic, complemented
173C23×D4×C47C2211yescharacteristic
174C2×C4×D4×C47C2211yescharacteristic
175C2×C4×D4×C47C2211yescharacteristic
176C22×C22⋊C4×C47C2211yescharacteristic
177C22×C22⋊C4×C47C2211yescharacteristic, complemented
178C47×#390C2211yescharacteristic, complemented
179C47×#390C2211yescharacteristic, complemented
180C47×#386C2211yescharacteristic
181C47×#386C2211yescharacteristic
182C47×#386C2211yescharacteristic, complemented
183C47×#386C2211yescharacteristic, complemented
184C47×#380C2211yescharacteristic, complemented
185C47×#379C2211yescharacteristic
186C47×#379C2211yescharacteristic, complemented
187C4×C22⋊C4×C47C2211yescharacteristic, complemented
188C24×D47C2311yescharacteristic
189C22×C22⋊D47—42no—
190C22×C22⋊D47—42no—
191C22×C22⋊D47C2×C418yescomplemented
192C22×C22⋊D47C2311yescharacteristic
193C22×C22⋊D47C2311yescharacteristic
194C22×C22⋊D47C2311yescharacteristic
195C22×C22⋊D47C2311yescharacteristic
196C22×C22⋊D47C2311yescharacteristic
197C22×C22⋊D47C2311yescharacteristic
198C22×C22⋊D47C2311yescharacteristic
199C22×C22⋊D47C2311yescharacteristic
200C23×Dic47C2311yescharacteristic
201C23×Dic47C2311yescharacteristic
202C23×Dic47C2311yescharacteristic
203C23×Dic47C2311yescharacteristic
204C23×Dic47C2311yescharacteristic
205C23×Dic47C2311yescharacteristic
206C23×Dic47C2311yescharacteristic
207C22×C4×D47C2311yescharacteristic
208C22×C4×D47C2311yescharacteristic
209C22×C4×D47C2311yescharacteristic
210C22×C4×D47C2311yescharacteristic
211#13094007C2×C418yescomplemented
212#13094007C2×C418yescomplemented
213#13094005C2×C418yescomplemented
214#13094005C2×C418yescomplemented
215#13093996C2×C418yescomplemented
216#13093996C2×C418yescomplemented
217#13093996C2×C418yescomplemented
218#13093996C2×C418yescomplemented
219#13093993C2×C418yescomplemented
220#13093993C2×C418yescomplemented
221#13093992C2×C418yescomplemented
222#13093992C2×C418yescomplemented
223D4×Dic47—42no—
224D4×Dic47—42no—
225C4×C22⋊D47—42no—
226C4×C22⋊D47—42no—
227(C22⋊D47)⋊C4—42no—
228(C22⋊D47)⋊C4—42no—
229#13093980—42no—
230#13093980—42no—
231C2×C4⋊Dic47C2311yescharacteristic
232C2×C4⋊Dic47C2311yescharacteristic
233C2×Dic47⋊C4—42no—
234C2×Dic47⋊C4C2311yescharacteristic
235C2×Dic47⋊C4C2311yescharacteristic
236C2×Dic47⋊C4C2311yescharacteristic
237C2×Dic47⋊C4C2311yescharacteristic
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×C22⋊Dic47—42no—
251C2×C22⋊Dic47—42no—
252C2×C22⋊Dic47C2×C418yescomplemented
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×C22⋊Dic47C2311yescharacteristic
272C2×C22⋊Dic47C2311yescharacteristic
273C2×C22⋊Dic47C2311yescharacteristic
274C2×C22⋊Dic47C2311yescharacteristic
275C2×C22⋊Dic47C2311yescharacteristic
276C2×C22⋊Dic47C2311yescharacteristic
277C2×(C2×D47)⋊C4—42no—
278C2×(C2×D47)⋊C4—42no—
279C2×(C2×D47)⋊C4C2311yescharacteristic
280C2×(C2×D47)⋊C4C2311yescharacteristic
281C2×(C2×D47)⋊C4C2311yescharacteristic
282C2×(C2×D47)⋊C4C2311yescharacteristic
283C2×(C2×D47)⋊C4C2311yescharacteristic
284C2×(C2×D47)⋊C4C2311yescharacteristic
285C2×(C2×D47)⋊C4C2311yescharacteristic
286C2×(C2×D47)⋊C4C2311yescharacteristic
287C2×(C2×D47)⋊C4C2311yescharacteristic
288C2×(C2×D47)⋊C4C2311yescharacteristic
289C2×(C2×D47)⋊C4C2311yescharacteristic
290C2×(C2×D47)⋊C4C2311yescharacteristic
291C2×(C2×D47)⋊C4C2311yescharacteristic
292C2×(C2×D47)⋊C4C2311yescharacteristic
293C2×(C2×D47)⋊C4C2311yescharacteristic
294C2×(C2×D47)⋊C4C2311yescharacteristic
295C22⋊C4×D47—42no—
296C22⋊C4×D47—42no—
297C2×C4×Dic47—42no—
298C2×C4×Dic47C2311yescharacteristic
299C2×C4×Dic47C2311yescharacteristic
300C2×C4×Dic47C2311yescharacteristic
301C2×C4×Dic47C2311yescharacteristic
302C2×C4×Dic47C2311yescharacteristic
303C2×C4×Dic47C2311yescharacteristic
304C2×C4×Dic47C2311yescharacteristic
305C2×C4×Dic47C2311yescharacteristic
306C2×C4×Dic47C2311yescharacteristic
307C2×C4×Dic47C2311yescharacteristic
308C2×C4×Dic47C2311yescharacteristic
309C2×C4×Dic47C2311yescharacteristic
310C2×C4×Dic47C2311yescharacteristic
311C2×C4×Dic47C2311yescharacteristic
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
340C25×C47C2311yescharacteristic
341C25×C47C2311yescharacteristic
342C22×D4×C47—42no—
343C22×D4×C47—42no—
344C22×D4×C47C2×C418yescomplemented
345C22×D4×C47C2311yescharacteristic
346C22×D4×C47C2311yescharacteristic
347C22×D4×C47C2311yescharacteristic
348C22×D4×C47C2311yescharacteristic
349C23×C4×C47C2311yescharacteristic
350C23×C4×C47C2311yescharacteristic
351C23×C4×C47C2311yescharacteristic
352C23×C4×C47C2311yescharacteristic
353C23×C4×C47C2311yescharacteristic
354C4×D4×C47—42no—
355C4×D4×C47—42no—
356C2×C4⋊C4×C47C2311yescharacteristic
357C2×C4⋊C4×C47C2311yescharacteristic
358C2×C22⋊C4×C47—42no—
359C2×C22⋊C4×C47—42no—
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×C22⋊C4×C47C2311yescharacteristic
368C2×C22⋊C4×C47C2311yescharacteristic
369C2×C22⋊C4×C47C2311yescharacteristic
370C2×C22⋊C4×C47C2311yescharacteristic
371C2×C22⋊C4×C47C2311yescharacteristic
372C2×C22⋊C4×C47C2311yescharacteristic
373C2×C22⋊C4×C47C2311yescharacteristic
374C2×C22⋊C4×C47C2311yescharacteristic
375C2×C22⋊C4×C47C2311yescharacteristic
376C2×C42×C47C2311yescharacteristic
377C2×C42×C47C2311yescharacteristic
378#95×C47C2311yescharacteristic
379#95×C47C2311yescharacteristic
380#95×C47C2311yescharacteristic
381#95×C47C2311yescharacteristic
382C24×C47—22no—
383C24×C47—22no—
384C24×C47—41no—
385C24×C47—41no—
386C24×C47—41no—
387C24×C47—41no—
388C24×C47—41no—
389C24×C47—41no—
390C24×C47—41no—
391C24×C47—41no—
392C24×C47—41no—
393C24×C47—41no—
394C24×C47C22×C414yes—
395C24×C47C22×C414yes—
396C24×C47C2411yescharacteristic
397C24×C47C2411yescharacteristic
398C24×C47C2411yescharacteristic
399C24×C47C2411yescharacteristic
400C24×C47C2411yescharacteristic
401C23×D47—22no—
402C23×D47—22no—
403C23×D47—41no—
404C23×D47—41no—
405C23×D47—41no—
406C23×D47—41no—
407C23×D47C22×C414yes—
408C23×D47C2411yescharacteristic
409C23×D47C2411yescharacteristic
410C2×D4×C47—22no—
411C2×D4×C47—22no—
412C2×D4×C47—22no—
413C2×D4×C47—22no—
414C2×D4×C47—41no—
415C2×D4×C47—41no—
416C2×D4×C47—41no—
417C2×D4×C47—41no—
418C2×D4×C47—416no—
419C2×D4×C47C22×C414yes—
420C2×D4×C47C22×C414yes—
421C2×D4×C47C22×C414yes—
422C2×D4×C47C22×C414yes—
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×C47—41no—
433C22×C4×C47—41no—
434C22×C4×C47—41no—
435C22×C4×C47—41no—
436C22×C4×C47—41no—
437C22×C4×C47C22×C414yes—
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
448C2×C22⋊D47—41no—
449C2×C22⋊D47—41no—
450C2×C22⋊D47—41no—
451C2×C22⋊D47—41no—
452C2×C22⋊D47—416no—
453C2×C22⋊D47—41no—
454C2×C22⋊D47—41no—
455C2×C22⋊D47—41no—
456C2×C22⋊D47—41no—
457C2×C22⋊D47—41no—
458C2×C22⋊D47—41no—
459C2×C22⋊D47—41no—
460C2×C22⋊D47—41no—
461C2×C22⋊D47—41no—
462C2×C22⋊D47—41no—
463C2×C22⋊D47—41no—
464C2×C22⋊D47—41no—
465C2×C22⋊D47C22×C414yes—
466C2×C22⋊D47C22×C414yes—
467C2×C22⋊D47C22×C414yes—
468C2×C22⋊D47C22×C414yes—
469C2×C22⋊D47C22×C414yes—
470C2×C22⋊D47C22×C414yes—
471C2×C22⋊D47C22×C414yes—
472C2×C22⋊D47C22×C414yes—
473C22×Dic47—22no—
474C22×Dic47—22no—
475C22×Dic47—22no—
476C22×Dic47—22no—
477C22×Dic47—22no—
478C22×Dic47—22no—
479C22×Dic47—41no—
480C22×Dic47—41no—
481C22×Dic47—41no—
482C22×Dic47—41no—
483C22×Dic47—41no—
484C22×Dic47—41no—
485C22×Dic47—41no—
486C22×Dic47—41no—
487C22×Dic47—41no—
488C22×Dic47—41no—
489C22×Dic47—41no—
490C22×Dic47—41no—
491C22×Dic47C22×C414yes—
492C22×Dic47C22×C414yes—
493C22×Dic47C22×C414yes—
494C22×Dic47C2411yescharacteristic
495C22×Dic47C2411yescharacteristic
496C22×Dic47C2411yescharacteristic
497C22×Dic47C2411yescharacteristic
498C22×Dic47C2411yescharacteristic
499C22×Dic47C2411yescharacteristic
500C22×Dic47C2411yescharacteristic
501C22×Dic47C2411yescharacteristic
502C22×Dic47C2411yescharacteristic
503C22×Dic47C2411yescharacteristic
504C22×Dic47C2411yescharacteristic
505C22×Dic47C2411yescharacteristic
506C22×Dic47C2411yescharacteristic
507C22×Dic47C2411yescharacteristic
508C2×C4×D47—41no—
509C2×C4×D47—41no—
510C2×C4×D47—41no—
511C2×C4×D47—41no—
512C2×C4×D47—41no—
513C2×C4×D47—41no—
514C2×C4×D47—41no—
515C2×C4×D47—41no—
516C2×C4×D47—41no—
517C2×C4×D47—41no—
518C2×C4×D47—41no—
519C2×C4×D47—41no—
520C4⋊C4×C47—41no—
521C4⋊C4×C47—41no—
522C22⋊C4×C47—22no—
523C22⋊C4×C47—22no—
524C22⋊C4×C47—22no—
525C22⋊C4×C47—22no—
526C22⋊C4×C47—22no—
527C22⋊C4×C47—41no—
528C22⋊C4×C47—41no—
529C22⋊C4×C47—41no—
530C22⋊C4×C47—41no—
531C22⋊C4×C47—41no—
532C22⋊C4×C47—41no—
533C22⋊C4×C47—41no—
534C22⋊C4×C47—41no—
535C22⋊C4×C47—41no—
536C22⋊C4×C47—41no—
537C22⋊C4×C47—41no—
538C42×C47—41no—
539C42×C47—41no—
540C22⋊Dic47—22no—
541C22⋊Dic47—22no—
542C22⋊Dic47—22no—
543C22⋊Dic47—22no—
544C22⋊Dic47—22no—
545C22⋊Dic47—41no—
546C22⋊Dic47—41no—
547C22⋊Dic47—41no—
548C22⋊Dic47—41no—
549C22⋊Dic47—41no—
550C22⋊Dic47—41no—
551C22⋊Dic47—41no—
552C22⋊Dic47—41no—
553C22⋊Dic47—41no—
554C22⋊Dic47—41no—
555C22⋊Dic47—41no—
556C22⋊Dic47C22×C414yes—
557C22⋊Dic47C22×C414yes—
558C22⋊Dic47C22×C414yes—
559C22⋊Dic47C22×C414yes—
560C22⋊Dic47C22×C414yes—
561C22⋊Dic47C22×C414yes—
562C22⋊Dic47C22×C414yes—
563C22⋊Dic47C22×C414yes—
564(C2×D47)⋊C4—22no—
565(C2×D47)⋊C4—22no—
566(C2×D47)⋊C4—22no—
567(C2×D47)⋊C4—22no—
568(C2×D47)⋊C4—41no—
569(C2×D47)⋊C4—41no—
570(C2×D47)⋊C4—41no—
571(C2×D47)⋊C4—41no—
572(C2×D47)⋊C4—41no—
573(C2×D47)⋊C4—41no—
574(C2×D47)⋊C4—41no—
575(C2×D47)⋊C4—41no—
576(C2×D47)⋊C4C22×C414yes—
577(C2×D47)⋊C4C22×C414yes—
578(C2×D47)⋊C4C22×C414yes—
579(C2×D47)⋊C4C22×C414yes—
580C4⋊Dic47—41no—
581C4⋊Dic47—41no—
582Dic47⋊C4—22no—
583Dic47⋊C4—22no—
584Dic47⋊C4—41no—
585Dic47⋊C4—41no—
586Dic47⋊C4—41no—
587Dic47⋊C4—41no—
588Dic47⋊C4—41no—
589Dic47⋊C4—41no—
590Dic47⋊C4—41no—
591Dic47⋊C4—41no—
592Dic47⋊C4—41no—
593Dic47⋊C4—41no—
594Dic47⋊C4C22×C414yes—
595Dic47⋊C4C22×C414yes—
596Dic47⋊C4C22×C414yes—
597Dic47⋊C4C22×C414yes—
598C4×Dic47—22no—
599C4×Dic47—22no—
600C4×Dic47—41no—
601C4×Dic47—41no—
602C4×Dic47—41no—
603C4×Dic47—41no—
604C4×Dic47—41no—
605C4×Dic47—41no—
606C4×Dic47—41no—
607C4×Dic47—41no—
608C4×Dic47—41no—
609C4×Dic47—41no—
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×C47—21no—
630C23×C47—21no—
631C23×C47—21no—
632C23×C47—21no—
633C23×C47—21no—
634C23×C47—21no—
635C23×C47—21no—
636C23×C47—21no—
637C23×C47—21no—
638C23×C47—21no—
639C23×C47—21no—
640C23×C47—28no—
641C23×C47—44no—
642C23×C47—44no—
643C23×C47—44no—
644C23×C47—44no—
645C23×C47—44no—
646C23×C47—82no—
647C23×C47—82no—
648C23×C47—82no—
649C23×C47—82no—
650C23×C47—82no—
651C23×C47—82no—
652C23×C47—82no—
653C23×C47—82no—
654C23×C47C23×C412yes—
655C23×C47C23×C412yes—
656C23×C47C23×C412yes—
657C23×C47C23×C412yes—
658C23×C47C23×C412yes—
659C23×C47H(5,𝔽2)12yes—
660C23×C47H(5,𝔽2)12yes—
661C23×C47C2511yescharacteristic
662C22×D47—21no—
663C22×D47—21no—
664C22×D47—21no—
665C22×D47—21no—
666C22×D47—21no—
667C22×D47—21no—
668C22×D47—21no—
669C22×D47—21no—
670C22×D47—21no—
671C22×D47—21no—
672C22×D47—21no—
673C22×D47—21no—
674C22×D47—28no—
675C22×D47—44no—
676C22×D47—44no—
677C22×D47—82no—
678C22×D47—82no—
679C22×D47—82no—
680C22×D47—82no—
681C22×D47C23×C412yes—
682C22×D47C23×C412yes—
683D4×C47—28no—
684D4×C47—28no—
685D4×C47—44no—
686D4×C47—44no—
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—21no—
712C2×C4×C47—21no—
713C2×C4×C47—21no—
714C2×C4×C47—44no—
715C2×C4×C47—44no—
716C2×C4×C47—82no—
717C2×C4×C47—82no—
718C2×C4×C47—82no—
719C2×C4×C47C23×C412yes—
720C2×C4×C47C23×C412yes—
721C2×C4×C47H(5,𝔽2)12yes—
722C22⋊D47—44no—
723C22⋊D47—44no—
724C22⋊D47—44no—
725C22⋊D47—44no—
726C22⋊D47—44no—
727C22⋊D47—44no—
728C22⋊D47—44no—
729C22⋊D47—44no—
730C2×Dic47—28no—
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—21no—
757C2×Dic47—21no—
758C2×Dic47—21no—
759C2×Dic47—21no—
760C2×Dic47—21no—
761C2×Dic47—21no—
762C2×Dic47—21no—
763C2×Dic47—21no—
764C2×Dic47—21no—
765C2×Dic47—21no—
766C2×Dic47—44no—
767C2×Dic47—44no—
768C2×Dic47—44no—
769C2×Dic47—82no—
770C2×Dic47—82no—
771C2×Dic47—82no—
772C2×Dic47C23×C412yes—
773C2×Dic47C23×C412yes—
774C2×Dic47C23×C412yes—
775C2×Dic47C23×C412yes—
776C2×Dic47C23×C412yes—
777C2×Dic47C23×C412yes—
778C2×Dic47H(5,𝔽2)12yes—
779C4×D47—82no—
780C4×D47—82no—
781C4×D47—82no—
782C4×D47—82no—
783#34408—471nomaximal, Sylow
784C22×C47—22no—
785C22×C47—22no—
786C22×C47—22no—
787C22×C47—22no—
788C22×C47—22no—
789C22×C47—22no—
790C22×C47—22no—
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—22no—
801C22×C47—22no—
802C22×C47—41no—
803C22×C47—41no—
804C22×C47—41no—
805C22×C47—41no—
806C22×C47—41no—
807C22×C47—41no—
808C22×C47—41no—
809C22×C47—41no—
810C22×C47—41no—
811C22×C47—41no—
812C22×C47—41no—
813C22×C47—41no—
814C22×C47—41no—
815C22×C47—41no—
816C22×C47—41no—
817C22×C47—41no—
818C22×C47—88no—
819C22×C47—88no—
820C22×C47#51814yes—
821C22×C47C24×C411yescharacteristic
822C22×C47C2×H(5,𝔽2)11yescharacteristic
823C22×C47C2×H(5,𝔽2)11yescharacteristic
824C22×C47C2×H(5,𝔽2)11yescharacteristic
825C22×C47C2×H(5,𝔽2)11yescharacteristic
826C22×C47#58511yescharacteristic
827C22×C47#58511yescharacteristic
828C2×D47—22no—
829C2×D47—22no—
830C2×D47—22no—
831C2×D47—22no—
832C2×D47—22no—
833C2×D47—22no—
834C2×D47—41no—
835C2×D47—41no—
836C2×D47—41no—
837C2×D47—41no—
838C2×D47—41no—
839C2×D47—41no—
840C2×D47—41no—
841C2×D47—41no—
842C2×D47—88no—
843C4×C47—22no—
844C4×C47—22no—
845C4×C47—22no—
846C4×C47—41no—
847C4×C47—41no—
848C4×C47—41no—
849C4×C47—41no—
850C4×C47—41no—
851C4×C47—41no—
852C4×C47—41no—
853Dic47—22no—
854Dic47—22no—
855Dic47—22no—
856Dic47—22no—
857Dic47—22no—
858Dic47—22no—
859Dic47—22no—
860Dic47—41no—
861Dic47—41no—
862Dic47—41no—
863Dic47—41no—
864Dic47—41no—
865Dic47—41no—
866Dic47—41no—
867C2×#534—471no—
868#2377—471no—
869#2377—471no—
870#2376—471no—
871#2375—471no—
872#2374—471no—
873#2363—471no—
874#2363—471no—
875#2358—471no—
876#2358—471no—
877#2358—471no—
878#2358—471no—
879#2358—471no—
880#2342—471no—
881#2342—471no—
882D4×C22⋊C4—471no—
883D4×C22⋊C4D4711yescharacteristic, complemented
884#2335—471no—
885#2335—471no—
886#2333—471no—
887#2333—471no—
888#2324—471no—
889#2324—471no—
890#2322—471no—
891#2322—471no—
892#2321—471no—
893#2321—471no—
894#2308—471no—
895C4×#123—471no—
896C4×#123—471no—
897C2×#390—471no—
898C2×C47—24no—
899C2×C47—42no—
900C2×C47—42no—
901C2×C47—42no—
902C2×C47—42no—
903C2×C47C2×#51811yescharacteristic
904C2×C47C4×H(5,𝔽2)11yescharacteristic
905C2×C47C4×H(5,𝔽2)11yescharacteristic
906C2×C47#353411yescharacteristic
907C2×C47#353411yescharacteristic
908C2×C47#354311yescharacteristic
909C2×C47#354511yescharacteristic
910D47—42no—
911D47—42no—
912C23×D4—471no—
913C23×D4C2×D4711yescharacteristic
914#534—4716no—
915C2×#123—471no—
916C2×#123—471no—
917C2×#123—471no—
918C2×#123—471no—
919C2×#121—471no—
920C2×#121—471no—
921C2×#121—471no—
922C2×#121—471no—
923C2×#120—471no—
924C2×#120—471no—
925C2×#120—471no—
926C2×#120—471no—
927C2×C4×D4—471no—
928C2×C4×D4—471no—
929C2×C4×D4—471no—
930C2×C4×D4—471no—
931C2×C4×D4—471no—
932C2×C4×D4—471no—
933C2×C4×D4C2×D4711yescharacteristic
934C2×C4×D4C2×D4711yescharacteristic
935C2×#117—471no—
936C2×#117—471no—
937C22×C4⋊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×C22⋊C4—471no—
945C22×C22⋊C4C2×D4711yescharacteristic
946C22×C22⋊C4C2×D4711yescharacteristic, complemented
947C22×C42—471no—
948#390—471no—
949#390—471no—
950#390—471no—
951#390—471no—
952#390—471no—
953#390—471no—
954#390—471no—
955#390—471no—
956#390—471no—
957#390—471no—
958#390—471no—
959#390—471no—
960#390—471no—
961#390—471no—
962#390C2×D4711yescharacteristic, complemented
963#390C2×D4711yescharacteristic, complemented
964#389—471no—
965#389—471no—
966#389—471no—
967#389—471no—
968#388—471no—
969#388—471no—
970#388—471no—
971#388—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#388—471no—
981#388—471no—
982#388—471no—
983#388—471no—
984#388—471no—
985#388—471no—
986#388—471no—
987#388—471no—
988#388—471no—
989#388—471no—
990#388—471no—
991#388—471no—
992#387—471no—
993#387—471no—
994#387—471no—
995#387—471no—
996#387—471no—
997#387—471no—
998#387—471no—
999#387—471no—
1000#386—471no—
1001#386—471no—
1002#386—471no—
1003#386—471no—
1004#386—471no—
1005#386—471no—
1006#386—471no—
1007#386—471no—
1008#386—471no—
1009#386—471no—
1010#386—471no—
1011#386—471no—
1012#386—471no—
1013#386—471no—
1014#386—471no—
1015#386—471no—
1016#386—471no—
1017#386—471no—
1018#386—471no—
1019#386—471no—
1020#386C2×D4711yescharacteristic
1021#386C2×D4711yescharacteristic
1022#386C2×D4711yescharacteristic, complemented
1023#386C2×D4711yescharacteristic, complemented
1024#385—471no—
1025#385—471no—
1026#385—471no—
1027#385—471no—
1028#385—471no—
1029#385—471no—
1030#385—471no—
1031#385—471no—
1032#385—471no—
1033#385—471no—
1034#385—471no—
1035#385—471no—
1036#381—471no—
1037#381—471no—
1038#381—471no—
1039#381—471no—
1040#380—471no—
1041#380—471no—
1042#380—471no—
1043#380C2×D4711yescharacteristic, complemented
1044#379—471no—
1045#379—471no—
1046#379C2×D4711yescharacteristic
1047#379C2×D4711yescharacteristic, complemented
1048C4×C4⋊C4—471no—
1049C4×C4⋊C4—471no—
1050C4×C4⋊C4—471no—
1051C4×C4⋊C4—471no—
1052C4×C22⋊C4—471no—
1053C4×C22⋊C4—471no—
1054C4×C22⋊C4—471no—
1055C4×C22⋊C4—471no—
1056C4×C22⋊C4—471no—
1057C4×C22⋊C4—471no—
1058C4×C22⋊C4—471no—
1059C4×C22⋊C4—471no—
1060C4×C22⋊C4—471no—
1061C4×C22⋊C4—471no—
1062C4×C22⋊C4—471no—
1063C4×C22⋊C4—471no—
1064C4×C22⋊C4—471no—
1065C4×C22⋊C4—471no—
1066C4×C22⋊C4—471no—
1067C4×C22⋊C4C2×D4711yescharacteristic, complemented
1068C47#3440811yescharacteristic, complemented, Sylow
1069C25—471no—
1070C25C22×D4711yescharacteristic
1071C25C22×D4711yescharacteristic
1072C22×D4—42no—
1073C22×D4—42no—
1074C22×D4—478no—
1075C22×D4—471no—
1076C22×D4—471no—
1077C22×D4—471no—
1078C22×D4—471no—
1079C22×D4—471no—
1080C22×D4—471no—
1081C22×D4—471no—
1082C22×D4—471no—
1083C22×D4—1882no—
1084C22×D4—1882no—
1085C22×D4C4×D4718yescomplemented
1086C22×D4C22×D4711yescharacteristic
1087C22×D4C22×D4711yescharacteristic
1088C22×D4C22×D4711yescharacteristic
1089C22×D4C22×D4711yescharacteristic
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×C4C22×D4711yescharacteristic
1102C23×C4C22×D4711yescharacteristic
1103C23×C4C22×D4711yescharacteristic
1104C23×C4C22×D4711yescharacteristic
1105C23×C4C22×D4711yescharacteristic
1106#123—478no—
1107#123—478no—
1108#123—478no—
1109#123—478no—
1110#121—478no—
1111#121—478no—
1112#121—478no—
1113#121—478no—
1114#120—478no—
1115#120—478no—
1116#120—478no—
1117#120—478no—
1118C4×D4—42no—
1119C4×D4—42no—
1120C4×D4—1882no—
1121C4×D4—1882no—
1122C4×D4—1882no—
1123C4×D4—1882no—
1124C4×D4—1882no—
1125C4×D4—1882no—
1126#117—1882no—
1127#117—1882no—
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—471no—
1142C2×C4⋊C4—471no—
1143C2×C4⋊C4—471no—
1144C2×C4⋊C4—471no—
1145C2×C4⋊C4—471no—
1146C2×C4⋊C4—1882no—
1147C2×C4⋊C4C22×D4711yescharacteristic
1148C2×C4⋊C4C22×D4711yescharacteristic
1149C2×C22⋊C4—42no—
1150C2×C22⋊C4—42no—
1151C2×C22⋊C4—478no—
1152C2×C22⋊C4—471no—
1153C2×C22⋊C4—471no—
1154C2×C22⋊C4—471no—
1155C2×C22⋊C4—471no—
1156C2×C22⋊C4—471no—
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—1882no—
1193C2×C22⋊C4—1882no—
1194C2×C22⋊C4—1882no—
1195C2×C22⋊C4—1882no—
1196C2×C22⋊C4—1882no—
1197C2×C22⋊C4—1882no—
1198C2×C22⋊C4C22×D4711yescharacteristic
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×C22⋊C4C22×D4711yescharacteristic
1210C2×C22⋊C4C22×D4711yescharacteristic
1211C2×C22⋊C4C22×D4711yescharacteristic
1212C2×C22⋊C4C22×D4711yescharacteristic
1213C2×C22⋊C4C22×D4711yescharacteristic
1214C2×C42—471no—
1215C2×C42—471no—
1216C2×C42—471no—
1217C2×C42—471no—
1218C2×C42—471no—
1219C2×C42—471no—
1220C2×C42—471no—
1221C2×C42—471no—
1222C2×C42—471no—
1223C2×C42—471no—
1224C2×C42—471no—
1225C2×C42—471no—
1226C2×C42—471no—
1227C2×C42—471no—
1228C2×C42—1882no—
1229C2×C42C22×D4711yescharacteristic
1230C2×C42C22×D4711yescharacteristic
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#95—471no—
1257#95—471no—
1258#95—471no—
1259#95C22×D4711yescharacteristic
1260#95C22×D4711yescharacteristic
1261#95C22×D4711yescharacteristic
1262#95C22×D4711yescharacteristic
1263C24—22no—
1264C24—22no—
1265C24—41no—
1266C24—41no—
1267C24—41no—
1268C24—41no—
1269C24—41no—
1270C24—41no—
1271C24—41no—
1272C24—41no—
1273C24—41no—
1274C24—41no—
1275C24—471no—
1276C24—471no—
1277C24—474no—
1278C24—942no—
1279C24—942no—
1280C24—1881no—
1281C24—1881no—
1282C24—1881no—
1283C24—1881no—
1284C24C2×C4×D4714yes—
1285C24C2×C4×D4714yes—
1286C24C23×D4711yescharacteristic
1287C24C23×D4711yescharacteristic
1288C24C23×D4711yescharacteristic
1289C24C23×D4711yescharacteristic
1290C24C23×D4711yescharacteristic
1291C2×D4—22no—
1292C2×D4—22no—
1293C2×D4—22no—
1294C2×D4—22no—
1295C2×D4—41no—
1296C2×D4—41no—
1297C2×D4—41no—
1298C2×D4—41no—
1299C2×D4—416no—
1300C2×D4—474no—
1301C2×D4—474no—
1302C2×D4—474no—
1303C2×D4—474no—
1304C2×D4—474no—
1305C2×D4—474no—
1306C2×D4—474no—
1307C2×D4—474no—
1308C2×D4—1881no—
1309C2×D4—1881no—
1310C2×D4—1881no—
1311C2×D4—1881no—
1312C2×D4—1881no—
1313C2×D4—1881no—
1314C2×D4—1881no—
1315C2×D4—1881no—
1316C2×D4—18816no—
1317C2×D4—1881no—
1318C2×D4—1881no—
1319C2×D4—1881no—
1320C2×D4—1881no—
1321C2×D4—1881no—
1322C2×D4—1881no—
1323C2×D4—1881no—
1324C2×D4—1881no—
1325C2×D4C2×C4×D4714yes—
1326C2×D4C2×C4×D4714yes—
1327C2×D4C2×C4×D4714yes—
1328C2×D4C2×C4×D4714yes—
1329C22×C4—22no—
1330C22×C4—22no—
1331C22×C4—22no—
1332C22×C4—22no—
1333C22×C4—41no—
1334C22×C4—41no—
1335C22×C4—41no—
1336C22×C4—41no—
1337C22×C4—41no—
1338C22×C4—41no—
1339C22×C4—41no—
1340C22×C4—41no—
1341C22×C4—41no—
1342C22×C4—41no—
1343C22×C4—474no—
1344C22×C4—471no—
1345C22×C4—471no—
1346C22×C4—471no—
1347C22×C4—471no—
1348C22×C4—471no—
1349C22×C4—471no—
1350C22×C4—471no—
1351C22×C4—474no—
1352C22×C4—474no—
1353C22×C4—471no—
1354C22×C4—471no—
1355C22×C4—471no—
1356C22×C4—471no—
1357C22×C4—471no—
1358C22×C4—471no—
1359C22×C4—471no—
1360C22×C4—942no—
1361C22×C4—942no—
1362C22×C4—942no—
1363C22×C4—942no—
1364C22×C4—942no—
1365C22×C4—942no—
1366C22×C4—1881no—
1367C22×C4—1881no—
1368C22×C4—1881no—
1369C22×C4—1881no—
1370C22×C4—1881no—
1371C22×C4—1881no—
1372C22×C4—1881no—
1373C22×C4—1881no—
1374C22×C4—1881no—
1375C22×C4—1881no—
1376C22×C4—1881no—
1377C22×C4—1881no—
1378C22×C4—1881no—
1379C22×C4—1881no—
1380C22×C4—1881no—
1381C22×C4—1881no—
1382C22×C4—1881no—
1383C22×C4—1881no—
1384C22×C4—1881no—
1385C22×C4—1881no—
1386C22×C4—1881no—
1387C22×C4—1881no—
1388C22×C4—1881no—
1389C22×C4—1881no—
1390C22×C4C2×C4×D4714yes—
1391C22×C4C23×D4711yescharacteristic
1392C22×C4C23×D4711yescharacteristic
1393C22×C4C23×D4711yescharacteristic
1394C22×C4C23×D4711yescharacteristic
1395C22×C4C23×D4711yescharacteristic
1396C22×C4C23×D4711yescharacteristic
1397C22×C4C23×D4711yescharacteristic
1398C22×C4C23×D4711yescharacteristic
1399C22×C4C23×D4711yescharacteristic
1400C22×C4C23×D4711yescharacteristic
1401C4⋊C4—41no—
1402C4⋊C4—41no—
1403C4⋊C4—474no—
1404C4⋊C4—474no—
1405C4⋊C4—474no—
1406C4⋊C4—474no—
1407C4⋊C4—942no—
1408C4⋊C4—942no—
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⋊C4—1881no—
1419C4⋊C4—1881no—
1420C4⋊C4—1881no—
1421C22⋊C4—22no—
1422C22⋊C4—22no—
1423C22⋊C4—22no—
1424C22⋊C4—22no—
1425C22⋊C4—22no—
1426C22⋊C4—41no—
1427C22⋊C4—41no—
1428C22⋊C4—41no—
1429C22⋊C4—41no—
1430C22⋊C4—41no—
1431C22⋊C4—41no—
1432C22⋊C4—41no—
1433C22⋊C4—41no—
1434C22⋊C4—41no—
1435C22⋊C4—41no—
1436C22⋊C4—41no—
1437C22⋊C4—474no—
1438C22⋊C4—474no—
1439C22⋊C4—474no—
1440C22⋊C4—474no—
1441C22⋊C4—474no—
1442C22⋊C4—474no—
1443C22⋊C4—474no—
1444C22⋊C4—474no—
1445C22⋊C4—474no—
1446C22⋊C4—474no—
1447C22⋊C4—474no—
1448C22⋊C4—474no—
1449C22⋊C4—942no—
1450C22⋊C4—942no—
1451C22⋊C4—942no—
1452C22⋊C4—942no—
1453C22⋊C4—942no—
1454C22⋊C4—942no—
1455C22⋊C4—942no—
1456C22⋊C4—942no—
1457C22⋊C4—942no—
1458C22⋊C4—1881no—
1459C22⋊C4—1881no—
1460C22⋊C4—1881no—
1461C22⋊C4—1881no—
1462C22⋊C4—1881no—
1463C22⋊C4—1881no—
1464C22⋊C4—1881no—
1465C22⋊C4—1881no—
1466C22⋊C4—1881no—
1467C22⋊C4—1881no—
1468C22⋊C4—1881no—
1469C22⋊C4—1881no—
1470C22⋊C4—1881no—
1471C22⋊C4—1881no—
1472C22⋊C4—1881no—
1473C22⋊C4—1881no—
1474C22⋊C4—1881no—
1475C22⋊C4—1881no—
1476C22⋊C4—1881no—
1477C42—41no—
1478C42—41no—
1479C42—942no—
1480C42—942no—
1481C42—1881no—
1482C42—1881no—
1483C42—1881no—
1484C42—1881no—
1485C42—1881no—
1486C42—1881no—
1487C42—1881no—
1488C42—1881no—
1489C42—1881no—
1490C42—1881no—
1491C42—1881no—
1492C42—1881no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—28no—
1522C23—44no—
1523C23—44no—
1524C23—44no—
1525C23—44no—
1526C23—44no—
1527C23—82no—
1528C23—82no—
1529C23—82no—
1530C23—82no—
1531C23—82no—
1532C23—82no—
1533C23—82no—
1534C23—82no—
1535C23—472no—
1536C23—472no—
1537C23—948no—
1538C23—941no—
1539C23—941no—
1540C23—941no—
1541C23—941no—
1542C23—941no—
1543C23—941no—
1544C23—941no—
1545C23—941no—
1546C23—941no—
1547C23—941no—
1548C23—941no—
1549C23—941no—
1550C23—3762no—
1551C23—3762no—
1552C23—3762no—
1553C23—3762no—
1554C23—1884no—
1555C23—1884no—
1556C23C22×C4×D4712yes—
1557C23C22×C4×D4712yes—
1558C23C22×C4×D4712yes—
1559C23C22×C4×D4712yes—
1560C23C22×C4×D4712yes—
1561C23#1309406912yes—
1562C23#1309406912yes—
1563C23C24×D4711yescharacteristic
1564D4—28no—
1565D4—28no—
1566D4—44no—
1567D4—44no—
1568D4—1884no—
1569D4—1884no—
1570D4—1884no—
1571D4—1884no—
1572D4—1884no—
1573D4—1884no—
1574D4—1884no—
1575D4—1884no—
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—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—44no—
1604C2×C4—44no—
1605C2×C4—82no—
1606C2×C4—82no—
1607C2×C4—82no—
1608C2×C4—472no—
1609C2×C4—472no—
1610C2×C4—472no—
1611C2×C4—472no—
1612C2×C4—472no—
1613C2×C4—472no—
1614C2×C4—472no—
1615C2×C4—948no—
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—941no—
1639C2×C4—941no—
1640C2×C4—941no—
1641C2×C4—941no—
1642C2×C4—941no—
1643C2×C4—941no—
1644C2×C4—941no—
1645C2×C4—941no—
1646C2×C4—941no—
1647C2×C4—941no—
1648C2×C4—941no—
1649C2×C4—941no—
1650C2×C4—941no—
1651C2×C4—3762no—
1652C2×C4—3762no—
1653C2×C4—3762no—
1654C2×C4—3762no—
1655C2×C4—3762no—
1656C2×C4—3762no—
1657C2×C4—3762no—
1658C2×C4—1884no—
1659C2×C4—1884no—
1660C2×C4—1884no—
1661C2×C4C22×C4×D4712yes—
1662C2×C4C22×C4×D4712yes—
1663C2×C4#1309406912yes—
1664C22—22no—
1665C22—22no—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—22no—
1672C22—22no—
1673C22—22no—
1674C22—22no—
1675C22—22no—
1676C22—22no—
1677C22—22no—
1678C22—22no—
1679C22—22no—
1680C22—22no—
1681C22—22no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—88no—
1699C22—88no—
1700C22—942no—
1701C22—942no—
1702C22—942no—
1703C22—942no—
1704C22—942no—
1705C22—942no—
1706C22—3768no—
1707C22—1881no—
1708C22—1881no—
1709C22—1881no—
1710C22—1881no—
1711C22—1881no—
1712C22—1881no—
1713C22—1881no—
1714C22—1881no—
1715C22#1568959614yes—
1716C22C23×C4×D4711yescharacteristic
1717C22H(5,𝔽2)×D4711yescharacteristic
1718C22C2×#1309406911yescharacteristic
1719C22C2×#1309406911yescharacteristic
1720C22C2×#1309406911yescharacteristic
1721C22#1568995811yescharacteristic
1722C22#1568995911yescharacteristic
1723C4—22no—
1724C4—22no—
1725C4—22no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—942no—
1734C4—942no—
1735C4—942no—
1736C4—942no—
1737C4—942no—
1738C4—942no—
1739C4—942no—
1740C4—1881no—
1741C4—1881no—
1742C4—1881no—
1743C4—1881no—
1744C4—1881no—
1745C4—1881no—
1746C4—1881no—
1747C2—24no—
1748C2—42no—
1749C2—42no—
1750C2—42no—
1751C2—42no—
1752C2—1882no—
1753C2—1882no—
1754C2C2×#1568959611yescharacteristic
1755C2#2025659211yescharacteristic
1756C2C4×#1309406911yescharacteristic
1757C2#2025756611yescharacteristic
1758C2#2025757011yescharacteristic
1759C2#2025771311yescharacteristic
1760C2#2025773511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutatorC22×C47C24×C4
FittingD4×C22⋊C4×C47C2
socle, cosocleC23×C47C25
prime radicalC2×#15689682C2
hypercenterD4×C22⋊C4D47
hypocenterC47#34408
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C23 ◁ D4×C22⋊C4

Complements

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

NH ≅ G/Ntype
2. #20246546C2semidirect
3. #20246539C2semidirect
4. #20246532C2semidirect
5. #20246527C2semidirect
6. #20246519C2semidirect
7. #20246429C2semidirect
8. #20246423C2semidirect
9. #20246368C2semidirect
10. #20246368C2semidirect
11. #20246367C2semidirect
12. #20246365C2semidirect
13. #20246365C2semidirect
14. #20246239C2semidirect
15. #20246233C2semidirect
16. D4×C22⋊Dic47C2semidirect
17. #20246178C2semidirect
18. #20246174C2semidirect
19. #20246154C2semidirect
20. #20246147C2semidirect
21. #20246078C2semidirect
22. #20246074C2semidirect
23. #20246062C2semidirect
24. #20246053C2semidirect
25. #20246046C2semidirect
26. #20246043C2semidirect
27. #20245964C2semidirect
28. #20245913C2semidirect
29. C4×#13094005C2semidirect
30. C2×#15689023C2semidirect
31. D4×C22⋊C4×C47C2semidirect
33. #15689682C4semidirect
48. C2×C4×C22⋊D47C22semidirect
49. C2×C4×C22⋊D47C22semidirect
50. C2×(C22⋊D47)⋊C4C22semidirect
51. C2×(C22⋊D47)⋊C4C22semidirect
52. C2×#13093980C22semidirect
53. C2×#13093980C22semidirect
54. C22×Dic47⋊C4C22semidirect
57. C22×C22⋊Dic47C22semidirect
58. C22×(C2×D47)⋊C4C22semidirect
59. C22×(C2×D47)⋊C4C22semidirect
60. C2×C22⋊C4×D47C22semidirect
61. C2×C22⋊C4×D47C22semidirect
62. C22×C4×Dic47C22semidirect
63. #15689026C22semidirect
64. #15689026C22semidirect
69. #15689023C22semidirect
70. #15689023C22semidirect
71. #15689023C22semidirect
72. #15689023C22semidirect
73. #15689023C22semidirect
74. #15689023C22semidirect
75. #15689023C22semidirect
76. #15689023C22semidirect
77. #15689020C22semidirect
78. #15689020C22semidirect
79. #15689018C22semidirect
80. #15689018C22semidirect
81. #15689017C22semidirect
82. #15689017C22semidirect
83. #15689017C22semidirect
84. #15689017C22semidirect
85. #15689017C22semidirect
86. #15689017C22semidirect
87. #15689017C22semidirect
88. #15689017C22semidirect
89. #15689015C22semidirect
90. #15689015C22semidirect
91. #15689014C22semidirect
92. #15689014C22semidirect
93. #15689013C22semidirect
94. #15689013C22semidirect
95. #15689012C22semidirect
96. #15689012C22semidirect
97. #15689011C22semidirect
98. #15689011C22semidirect
99. #15689011C22semidirect
100. #15689011C22semidirect
101. #15689011C22semidirect
102. #15689011C22semidirect
103. #15689011C22semidirect
104. #15689011C22semidirect
105. #15689010C22semidirect
106. #15689010C22semidirect
107. #15689007C22semidirect
108. #15689007C22semidirect
109. #15689005C22semidirect
110. #15689005C22semidirect
111. #15689004C22semidirect
112. #15689004C22semidirect
115. #15689003C22semidirect
116. #15689003C22semidirect
117. #15689002C22semidirect
118. #15689002C22semidirect
119. #15689000C22semidirect
120. #15689000C22semidirect
125. #15688999C22semidirect
126. #15688999C22semidirect
127. #15688999C22semidirect
128. #15688999C22semidirect
129. #15688999C22semidirect
130. #15688999C22semidirect
131. #15688999C22semidirect
132. #15688999C22semidirect
133. #15688997C22semidirect
134. #15688997C22semidirect
135. #15688996C22semidirect
136. #15688996C22semidirect
137. #15688996C22semidirect
138. #15688996C22semidirect
139. #15688995C22semidirect
140. #15688995C22semidirect
141. #15688995C22semidirect
142. #15688995C22semidirect
143. #15688994C22semidirect
144. #15688994C22semidirect
145. #15688984C22semidirect
146. #15688984C22semidirect
147. #15688984C22semidirect
148. #15688984C22semidirect
149. #15688983C22semidirect
150. #15688981C22semidirect
151. #15688981C22semidirect
153. #15688979C22semidirect
154. C4×Dic47⋊C4C22semidirect
155. C4×Dic47⋊C4C22semidirect
156. #15688974C22semidirect
157. #15688974C22semidirect
158. C22⋊C4×Dic47C22semidirect
159. C22⋊C4×Dic47C22semidirect
160. C22⋊C4×Dic47C22semidirect
161. C22⋊C4×Dic47C22semidirect
162. C22⋊C4×Dic47C22semidirect
163. C22⋊C4×Dic47C22semidirect
164. C4×(C2×D47)⋊C4C22semidirect
165. C4×(C2×D47)⋊C4C22semidirect
166. C4×C22⋊Dic47C22semidirect
167. C4×C22⋊Dic47C22semidirect
168. C4×C22⋊Dic47C22semidirect
169. C4×C22⋊Dic47C22semidirect
170. C4×C22⋊Dic47C22semidirect
171. #15688970C22semidirect
172. #15688970C22semidirect
177. C22×C22⋊C4×C47C22semidirect
178. C47×#390C22semidirect
179. C47×#390C22semidirect
182. C47×#386C22semidirect
183. C47×#386C22semidirect
184. C47×#380C22semidirect
186. C47×#379C22semidirect
187. C4×C22⋊C4×C47C22semidirect
191. C22×C22⋊D47C2×C4semidirect
211. #13094007C2×C4semidirect
212. #13094007C2×C4semidirect
213. #13094005C2×C4semidirect
214. #13094005C2×C4semidirect
215. #13093996C2×C4semidirect
216. #13093996C2×C4semidirect
217. #13093996C2×C4semidirect
218. #13093996C2×C4semidirect
219. #13093993C2×C4semidirect
220. #13093993C2×C4semidirect
221. #13093992C2×C4semidirect
222. #13093992C2×C4semidirect
252. C2×C22⋊Dic47C2×C4semidirect
344. C22×D4×C47C2×C4semidirect
883. D4×C22⋊C4D47semidirect
946. C22×C22⋊C4C2×D47semidirect
962. #390C2×D47semidirect
963. #390C2×D47semidirect
1022. #386C2×D47semidirect
1023. #386C2×D47semidirect
1043. #380C2×D47semidirect
1047. #379C2×D47semidirect
1067. C4×C22⋊C4C2×D47semidirect
1068. C47#34408semidirect
1085. C22×D4C4×D47semidirect

Maximal subgroups

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

subgroupindex
C2×#156896822
#202465462
#202465392
#202465322
#202465272
#202465192
#202464292
#202464232
#202463682
#202463672
#202463652
#202462392
#202462332
D4×C22⋊Dic472
#202461782
#202461742
#202461542
#202461472
#202460782
#202460742
#202460622
#202460532
#202460462
#202460432
#202459642
#202459132
C4×#130940052
C2×#156890232
D4×C22⋊C4×C472
#3440847