Finite Group Databasebeta

← #26388954

Subgroups — #26388954

Order 12032.

3146 conjugacy classes of subgroups.

The subgroup lattice has 1872 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689707C211yesmaximal, characteristic, complemented
2C22×(C22⋊D47)⋊C4C211yesmaximal, characteristic, complemented
3#20251701C211yesmaximal, characteristic, complemented
4#20251691C211yesmaximal, characteristic, complemented
5#20251682C211yesmaximal, characteristic, complemented
6#20251668C211yesmaximal, characteristic, complemented
7#20249290C211yesmaximal, characteristic, complemented
8#20249274C211yesmaximal, characteristic, complemented
9#20249246C211yesmaximal, characteristic, complemented
10#20249230C211yesmaximal, characteristic, complemented
11#20247649C211yesmaximal, characteristic, complemented
12#20247443C211yesmaximal, characteristic, complemented
13#20247321C211yesmaximal, characteristic, complemented
14#20247286C211yesmaximal, characteristic, complemented
15#20247277C211yesmaximal, characteristic, complemented
16#20247205C211yesmaximal, characteristic, complemented
17#20247133C211yesmaximal, characteristic, complemented
18#20247125C211yesmaximal, characteristic, complemented
19#20247051C211yesmaximal, characteristic, complemented
20#20246925C211yesmaximal, characteristic, complemented
21#20246924C211yesmaximal, characteristic, complemented
22#20246845C211yesmaximal, characteristic, complemented
23#20246764C211yesmaximal, characteristic, complemented
24#20246761C211yesmaximal, characteristic, complemented
25#20246699C211yesmaximal, characteristic, complemented
26#20246092C211yesmaximal, characteristic, complemented
27#20246047C211yesmaximal, characteristic, complemented
28#20246018C211yesmaximal, characteristic, complemented
29C4×#13093994C211yesmaximal, characteristic, complemented
30#386×D47C211yesmaximal, characteristic, complemented
31C47×#2472C211yesmaximal, characteristic, complemented
32C23×C22⋊D47C2211yescharacteristic
33C22×D4×D47C2211yescharacteristic
34C24×Dic47C2211yescharacteristic, complemented
35C23×C4×D47C2211yescharacteristic
36#15689707—28no—
37C2×#13094018C2211yescharacteristic, complemented
38C2×#13094017C2211yescharacteristic, complemented
39C2×#13094013C2211yescharacteristic, complemented
40C2×#13094008C2211yescharacteristic, complemented
41C2×#13094008C2211yescharacteristic, complemented
42C2×#13094006C2211yescharacteristic, complemented
43C2×#13094000C2211yescharacteristic, complemented
44C2×#13093998C2211yescharacteristic
45C2×#13093997C2211yescharacteristic
46C2×#13093997C2211yescharacteristic
47C2×#13093997C2211yescharacteristic, complemented
48C2×#13093996C2211yescharacteristic
49C2×#13093996C2211yescharacteristic, complemented
50C2×#13093996C2211yescharacteristic, complemented
51C2×#13093994C2211yescharacteristic
52C2×#13093994C2211yescharacteristic, complemented
53C2×#13093993C2211yescharacteristic
54C2×#13093993C2211yescharacteristic, complemented
55C2×#13093992C2211yescharacteristic
56C2×#13093992C2211yescharacteristic
57C2×C4×D188C2211yescharacteristic, complemented
58C2×C4×D188C2211yescharacteristic, complemented
59C2×C4×C22⋊D47C2211yescharacteristic, complemented
60C2×(C22⋊D47)⋊C4—28no—
61C2×(C22⋊D47)⋊C4C2211yescharacteristic
62C2×(C22⋊D47)⋊C4C2211yescharacteristic
63C2×(C22⋊D47)⋊C4C2211yescharacteristic
64C2×(C22⋊D47)⋊C4C2211yescharacteristic
65C2×(C22⋊D47)⋊C4C2211yescharacteristic, complemented
66C2×(C22⋊D47)⋊C4C2211yescharacteristic, complemented
67C2×(C22⋊D47)⋊C4C2211yescharacteristic, complemented
68C2×(C22⋊D47)⋊C4C2211yescharacteristic, complemented
69C22×Dic47⋊C4C2211yescharacteristic, complemented
70C22×(C2×D47)⋊C4C2211yescharacteristic
71C2×C22⋊C4×D47C2211yescharacteristic
72C2×C22⋊C4×D47C2211yescharacteristic, complemented
73C2×C22⋊C4×D47C2211yescharacteristic, complemented
74C22×C4×Dic47C2211yescharacteristic, complemented
75#15689064C2211yescharacteristic, complemented
76#15689064C2211yescharacteristic, complemented
77#15689059C2211yescharacteristic, complemented
78#15689058C2211yescharacteristic, complemented
79#15689057C2211yescharacteristic, complemented
80#15689052C2211yescharacteristic, complemented
81#15689052C2211yescharacteristic, complemented
82#15689047C2211yescharacteristic, complemented
83#15689046C2211yescharacteristic, complemented
84#15689045C2211yescharacteristic, complemented
85#15689045C2211yescharacteristic, complemented
86#15689041C2211yescharacteristic, complemented
87#15689039C2211yescharacteristic, complemented
88#15689038C2211yescharacteristic, complemented
89#15689038C2211yescharacteristic, complemented
90#15689038C2211yescharacteristic, complemented
91#15689038C2211yescharacteristic, complemented
92#15689038C2211yescharacteristic, complemented
93#15689034C2211yescharacteristic, complemented
94#15689033C2211yescharacteristic, complemented
95#15689032C2211yescharacteristic
96#15689032C2211yescharacteristic
97#15689032C2211yescharacteristic, complemented
98#15689032C2211yescharacteristic, complemented
99#15689032C2211yescharacteristic, complemented
100#15689032C2211yescharacteristic, complemented
101#15689031C2211yescharacteristic
102#15689031C2211yescharacteristic
103#15689030C2211yescharacteristic, complemented
104#15689024C2211yescharacteristic, complemented
105#15689023C2211yescharacteristic, complemented
106#15689017C2211yescharacteristic, complemented
107#15689017C2211yescharacteristic, complemented
108#15689016C2211yescharacteristic, complemented
109#15689016C2211yescharacteristic, complemented
110#15689014C2211yescharacteristic, complemented
111#15689013C2211yescharacteristic, complemented
112#15689013C2211yescharacteristic, complemented
113#15689013C2211yescharacteristic, complemented
114#15689013C2211yescharacteristic, complemented
115#15689011C2211yescharacteristic, complemented
116#15689010C2211yescharacteristic, complemented
117#15689008C2211yescharacteristic, complemented
118#15689007C2211yescharacteristic, complemented
119#15689007C2211yescharacteristic, complemented
120#15689005C2211yescharacteristic, complemented
121#15689005C2211yescharacteristic, complemented
122#15689003C2211yescharacteristic
123#15689003C2211yescharacteristic
124#15689003C2211yescharacteristic, complemented
125#15689003C2211yescharacteristic, complemented
126#15689002C2211yescharacteristic
127#15689001C2211yescharacteristic, complemented
128#15689001C2211yescharacteristic, complemented
129#15689001C2211yescharacteristic, complemented
130#15689001C2211yescharacteristic, complemented
131#15689001C2211yescharacteristic, complemented
132#15689000C2211yescharacteristic
133#15689000C2211yescharacteristic
134#15689000C2211yescharacteristic
135#15689000C2211yescharacteristic, complemented
136#15689000C2211yescharacteristic, complemented
137#15689000C2211yescharacteristic, complemented
138#15689000C2211yescharacteristic, complemented
139#15689000C2211yescharacteristic, complemented
140#15689000C2211yescharacteristic, complemented
141#15688999C2211yescharacteristic
142#15688999C2211yescharacteristic
143#15688999C2211yescharacteristic
144#15688999C2211yescharacteristic
145#15688999C2211yescharacteristic, complemented
146#15688999C2211yescharacteristic, complemented
147#15688999C2211yescharacteristic, complemented
148#15688998C2211yescharacteristic, complemented
149#15688998C2211yescharacteristic, complemented
150#15688998C2211yescharacteristic, complemented
151#15688998C2211yescharacteristic, complemented
152#15688997C2211yescharacteristic, complemented
153#15688997C2211yescharacteristic, complemented
154#15688997C2211yescharacteristic, complemented
155#15688997C2211yescharacteristic, complemented
156#15688996C2211yescharacteristic, complemented
157#15688995C2211yescharacteristic, complemented
158#15688994C2211yescharacteristic, complemented
159#15688994C2211yescharacteristic, complemented
160#15688990C2211yescharacteristic, complemented
161#15688988C2211yescharacteristic, complemented
162#15688984C2211yescharacteristic, complemented
163#15688984C2211yescharacteristic, complemented
164#15688981C2211yescharacteristic, complemented
165#15688981C2211yescharacteristic, complemented
166#15688981C2211yescharacteristic, complemented
167#15688980C2211yescharacteristic, complemented
168#15688978C2211yescharacteristic
169#15688978C2211yescharacteristic, complemented
170C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
171C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
172#95×D47C2211yescharacteristic, complemented
173#95×D47C2211yescharacteristic, complemented
174C2×#124×C47C2211yescharacteristic, complemented
175C2×C22⋊Q8×C47C2211yescharacteristic, complemented
176C2×#120×C47C2211yescharacteristic
177C22×C22⋊C4×C47C2211yescharacteristic, complemented
178C47×#397C2211yescharacteristic, complemented
179C47×#394C2211yescharacteristic, complemented
180C47×#394C2211yescharacteristic, complemented
181C47×#393C2211yescharacteristic, complemented
182C47×#390C2211yescharacteristic, complemented
183C47×#388C2211yescharacteristic, complemented
184C47×#388C2211yescharacteristic, complemented
185C47×#386C2211yescharacteristic
186C47×#386C2211yescharacteristic
187C47×#379C2211yescharacteristic, complemented
188C4×C22⋊C4×C47C2211yescharacteristic, complemented
189C24×D47C2311yescharacteristic
190C24×D47C2311yescharacteristic
191C22×D188C2311yescharacteristic
192C22×D188C2311yescharacteristic
193C22×D188C2311yescharacteristic
194C22×D188C2311yescharacteristic
195C22×C22⋊D47—24no—
196C22×C22⋊D47—24no—
197C22×C22⋊D47—24no—
198C22×C22⋊D47C2311yescharacteristic
199C22×C22⋊D47C2311yescharacteristic
200C22×C22⋊D47C2311yescharacteristic
201C22×C22⋊D47C2311yescharacteristic
202C22×C22⋊D47C2311yescharacteristic
203C22×C22⋊D47C2311yescharacteristic
204C22×C22⋊D47C2311yescharacteristic
205C22×C22⋊D47C2311yescharacteristic
206C22×C22⋊D47C2311yescharacteristic
207C22×C22⋊D47C2311yescharacteristic
208C22×C22⋊D47C2311yescharacteristic
209C22×C22⋊D47C2311yescharacteristic
210C2×D4×D47—24no—
211C2×D4×D47—42no—
212C2×D4×D47—42no—
213C23×Dic47—24no—
214C23×Dic47—42no—
215C23×Dic47—42no—
216C23×Dic47C2311yescharacteristic
217C23×Dic47C2311yescharacteristic
218C23×Dic47C2311yescharacteristic
219C23×Dic47C2311yescharacteristic
220C23×Dic47C2311yescharacteristic
221C23×Dic47C2311yescharacteristic
222C23×Dic47C2311yescharacteristic
223C22×C4×D47—24no—
224C22×C4×D47—42no—
225C22×C4×D47—42no—
226C22×C4×D47C2311yescharacteristic
227C22×C4×D47C2311yescharacteristic
228C22×C4×D47C2311yescharacteristic
229C22×C4×D47C2311yescharacteristic
230C22×C4×D47C2311yescharacteristic
231C22×C4×D47C2311yescharacteristic
232C22×C4×D47C2311yescharacteristic
233C22×C4×D47C2311yescharacteristic
234#13094018—24no—
235#13094017—24no—
236#13094013—24no—
237#13094008—24no—
238#13094008—42no—
239#13094006—24no—
240#13094000—24no—
241#13093998—42no—
242#13093997—24no—
243#13093997—24no—
244#13093997—24no—
245#13093996—24no—
246#13093996—42no—
247#13093996—42no—
248#13093994—24no—
249#13093994—24no—
250#13093993—42no—
251#13093993—42no—
252#13093992—24no—
253#13093992—24no—
254C4×D188—24no—
255C4×D188—42no—
256C4×C22⋊D47—42no—
257(C22⋊D47)⋊C4—24no—
258(C22⋊D47)⋊C4—24no—
259(C22⋊D47)⋊C4—24no—
260(C22⋊D47)⋊C4—24no—
261(C22⋊D47)⋊C4—24no—
262(C22⋊D47)⋊C4—24no—
263(C22⋊D47)⋊C4—24no—
264(C22⋊D47)⋊C4D418yescomplemented
265C2×C4⋊Dic47C2311yescharacteristic
266C2×C4⋊Dic47C2311yescharacteristic
267C2×C4⋊Dic47C2311yescharacteristic
268C2×C4⋊Dic47C2311yescharacteristic
269C2×C4⋊Dic47C2311yescharacteristic
270C2×Dic47⋊C4—24no—
271C2×Dic47⋊C4C2311yescharacteristic
272C2×Dic47⋊C4C2311yescharacteristic
273C2×Dic47⋊C4C2311yescharacteristic
274C2×Dic47⋊C4C2311yescharacteristic
275C2×Dic47⋊C4C2311yescharacteristic
276C2×Dic47⋊C4C2311yescharacteristic
277C2×Dic47⋊C4C2311yescharacteristic
278C2×Dic47⋊C4C2311yescharacteristic
279C2×Dic47⋊C4C2311yescharacteristic
280C2×Dic47⋊C4C2311yescharacteristic
281C2×Dic47⋊C4C2311yescharacteristic
282C2×Dic47⋊C4C2311yescharacteristic
283C2×C22⋊Dic47C2311yescharacteristic
284C2×C22⋊Dic47C2311yescharacteristic
285C2×C22⋊Dic47C2311yescharacteristic
286C2×C22⋊Dic47C2311yescharacteristic
287C2×C22⋊Dic47C2311yescharacteristic
288C2×C22⋊Dic47C2311yescharacteristic
289C2×C22⋊Dic47C2311yescharacteristic
290C2×C22⋊Dic47C2311yescharacteristic
291C2×C22⋊Dic47C2311yescharacteristic
292C2×C22⋊Dic47C2311yescharacteristic
293C2×C22⋊Dic47C2311yescharacteristic
294C2×(C2×D47)⋊C4—24no—
295C2×(C2×D47)⋊C4C2311yescharacteristic
296C2×(C2×D47)⋊C4C2311yescharacteristic
297C2×(C2×D47)⋊C4C2311yescharacteristic
298C2×(C2×D47)⋊C4C2311yescharacteristic
299C2×(C2×D47)⋊C4C2311yescharacteristic
300C2×(C2×D47)⋊C4C2311yescharacteristic
301C2×(C2×D47)⋊C4C2311yescharacteristic
302C2×(C2×D47)⋊C4C2311yescharacteristic
303C2×(C2×D47)⋊C4C2311yescharacteristic
304C2×(C2×D47)⋊C4C2311yescharacteristic
305C2×(C2×D47)⋊C4C2311yescharacteristic
306C2×(C2×D47)⋊C4C2311yescharacteristic
307C2×(C2×D47)⋊C4C2311yescharacteristic
308C2×(C2×D47)⋊C4C2311yescharacteristic
309C2×(C2×D47)⋊C4C2311yescharacteristic
310C2×(C2×D47)⋊C4C2311yescharacteristic
311C2×(C2×D47)⋊C4C2311yescharacteristic
312C2×(C2×D47)⋊C4C2311yescharacteristic
313C2×(C2×D47)⋊C4C2311yescharacteristic
314C2×(C2×D47)⋊C4C2311yescharacteristic
315C2×(C2×D47)⋊C4C2311yescharacteristic
316C2×(C2×D47)⋊C4C2311yescharacteristic
317C2×(C2×D47)⋊C4C2311yescharacteristic
318C2×(C2×D47)⋊C4C2311yescharacteristic
319C2×(C2×D47)⋊C4C2311yescharacteristic
320C2×(C2×D47)⋊C4C2311yescharacteristic
321C2×(C2×D47)⋊C4C2311yescharacteristic
322C2×(C2×D47)⋊C4C2311yescharacteristic
323C22⋊C4×D47—24no—
324C22⋊C4×D47—42no—
325C22⋊C4×D47—42no—
326C2×C4×Dic47—24no—
327C2×C4×Dic47C2311yescharacteristic
328C2×C4×Dic47C2311yescharacteristic
329C2×C4×Dic47C2311yescharacteristic
330C2×C4×Dic47C2311yescharacteristic
331C2×C4×Dic47C2311yescharacteristic
332C47⋊#95C2311yescharacteristic
333C47⋊#95C2311yescharacteristic
334C47⋊#95C2311yescharacteristic
335C47⋊#95C2311yescharacteristic
336C47⋊#95C2311yescharacteristic
337C47⋊#95C2311yescharacteristic
338C47⋊#95C2311yescharacteristic
339C47⋊#95C2311yescharacteristic
340C47⋊#95C2311yescharacteristic
341C47⋊#95C2311yescharacteristic
342C47⋊#95C2311yescharacteristic
343C47⋊#95C2311yescharacteristic
344C47⋊#95C2311yescharacteristic
345C47⋊#95C2311yescharacteristic
346C47⋊#95C2311yescharacteristic
347C47⋊#95C2311yescharacteristic
348C47⋊#95C2311yescharacteristic
349C47⋊#95C2311yescharacteristic
350C47⋊#95C2311yescharacteristic
351C47⋊#95C2311yescharacteristic
352C47⋊#95C2311yescharacteristic
353C47⋊#95C2311yescharacteristic
354C47⋊#95C2311yescharacteristic
355C47⋊#95C2311yescharacteristic
356C47⋊#95C2311yescharacteristic
357C47⋊#95C2311yescharacteristic
358C25×C47C2311yescharacteristic
359C22×Q8×C47C2311yescharacteristic
360C22×D4×C47C2311yescharacteristic
361C22×D4×C47C2311yescharacteristic
362C22×D4×C47C2311yescharacteristic
363C23×C4×C47C2311yescharacteristic
364C23×C4×C47C2311yescharacteristic
365#124×C47—24no—
366C22⋊Q8×C47—42no—
367#120×C47—42no—
368C2×C4⋊C4×C47C2311yescharacteristic
369C2×C4⋊C4×C47C2311yescharacteristic
370C2×C4⋊C4×C47C2311yescharacteristic
371C2×C22⋊C4×C47—24no—
372C2×C22⋊C4×C47C2311yescharacteristic
373C2×C22⋊C4×C47C2311yescharacteristic
374C2×C22⋊C4×C47C2311yescharacteristic
375C2×C22⋊C4×C47C2311yescharacteristic
376C2×C22⋊C4×C47C2311yescharacteristic
377C2×C22⋊C4×C47C2311yescharacteristic
378C2×C22⋊C4×C47C2311yescharacteristic
379C2×C22⋊C4×C47C2311yescharacteristic
380C2×C22⋊C4×C47C2311yescharacteristic
381C2×C22⋊C4×C47C2311yescharacteristic
382C2×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
391#95×C47C2311yescharacteristic
392#95×C47C2311yescharacteristic
393#95×C47C2311yescharacteristic
394#95×C47C2311yescharacteristic
395#95×C47C2311yescharacteristic
396#95×C47C2311yescharacteristic
397C24×C47—22no—
398C24×C47—22no—
399C24×C47—22no—
400C24×C47—22no—
401C24×C47—22no—
402C24×C47—41no—
403C24×C47—41no—
404C24×C47C2411yescharacteristic
405C24×C47C2411yescharacteristic
406C24×C47C2411yescharacteristic
407C24×C47C2411yescharacteristic
408C23×D47—22no—
409C23×D47—22no—
410C23×D47—22no—
411C23×D47—22no—
412C23×D47—22no—
413C23×D47—22no—
414C23×D47—22no—
415C23×D47—41no—
416C23×D47—41no—
417C23×D47—41no—
418C23×D47—41no—
419C23×D47—41no—
420C23×D47—41no—
421C23×D47#4114yes—
422C23×D47C2411yescharacteristic
423C23×D47C2411yescharacteristic
424C23×D47C2411yescharacteristic
425C23×D47C2411yescharacteristic
426C2×Q8×C47—22no—
427C2×Q8×C47—41no—
428C2×Q8×C47—41no—
429C2×D4×C47—22no—
430C2×D4×C47—22no—
431C2×D4×C47—22no—
432C2×D4×C47—22no—
433C2×D4×C47—22no—
434C2×D4×C47—41no—
435C2×D4×C47—41no—
436C2×D4×C47—41no—
437C2×D4×C47—41no—
438C22×C4×C47—22no—
439C22×C4×C47—22no—
440C22×C4×C47—22no—
441C22×C4×C47—22no—
442C22×C4×C47—41no—
443C22×C4×C47—41no—
444C22×C4×C47C2411yescharacteristic
445C22×C4×C47C2411yescharacteristic
446C22×C4×C47C2411yescharacteristic
447C22×C4×C47C2411yescharacteristic
448C22×C4×C47C2411yescharacteristic
449C22×C4×C47C2411yescharacteristic
450C22×C4×C47C2411yescharacteristic
451C22×C4×C47C2411yescharacteristic
452C22×C4×C47C2411yescharacteristic
453C22×C4×C47C2411yescharacteristic
454C22×C4×C47C2411yescharacteristic
455C2×C22⋊D47—232no—
456C2×C22⋊D47—22no—
457C2×C22⋊D47—22no—
458C2×C22⋊D47—22no—
459C2×C22⋊D47—22no—
460C2×C22⋊D47—22no—
461C2×C22⋊D47—22no—
462C2×C22⋊D47—22no—
463C2×C22⋊D47—22no—
464C2×C22⋊D47—22no—
465C2×C22⋊D47—22no—
466C2×C22⋊D47—22no—
467C2×C22⋊D47—22no—
468C2×C22⋊D47—22no—
469C2×C22⋊D47—22no—
470C2×C22⋊D47—22no—
471C2×C22⋊D47—22no—
472C2×C22⋊D47—22no—
473C2×C22⋊D47—22no—
474C2×C22⋊D47—22no—
475C2×C22⋊D47—22no—
476C2×C22⋊D47—22no—
477C2×C22⋊D47—22no—
478C2×C22⋊D47—41no—
479C2×C22⋊D47—41no—
480C2×C22⋊D47—41no—
481C2×C22⋊D47—41no—
482C2×C22⋊D47—41no—
483C2×C22⋊D47—41no—
484C2×C22⋊D47—41no—
485C2×C22⋊D47—41no—
486C2×C22⋊D47—41no—
487C2×C22⋊D47—41no—
488C2×C22⋊D47—41no—
489C2×C22⋊D47—41no—
490C2×C22⋊D47C2×D414yes—
491C2×C22⋊D47#4114yes—
492C22×Dic47—22no—
493C22×Dic47—22no—
494C22×Dic47—22no—
495C22×Dic47—22no—
496C22×Dic47—22no—
497C22×Dic47—22no—
498C22×Dic47—22no—
499C22×Dic47—22no—
500C22×Dic47—22no—
501C22×Dic47—22no—
502C22×Dic47—22no—
503C22×Dic47—22no—
504C22×Dic47—22no—
505C22×Dic47—41no—
506C22×Dic47—41no—
507C22×Dic47—41no—
508C22×Dic47—41no—
509C22×Dic47—41no—
510C22×Dic47—41no—
511C22×Dic47—41no—
512C22×Dic47—416no—
513C22×Dic47C2×D414yescomplemented
514C22×Dic47C2411yescharacteristic
515C22×Dic47C2411yescharacteristic
516C22×Dic47C2411yescharacteristic
517C22×Dic47C2411yescharacteristic
518C22×Dic47C2411yescharacteristic
519C22×Dic47C2411yescharacteristic
520C22×Dic47C2411yescharacteristic
521C22×Dic47C2411yescharacteristic
522C22×Dic47C2411yescharacteristic
523C22×Dic47C2411yescharacteristic
524C22×Dic47C2411yescharacteristic
525C22×Dic47C2411yescharacteristic
526D4×D47—416no—
527C2×D188—22no—
528C2×D188—22no—
529C2×D188—22no—
530C2×D188—22no—
531C2×D188—22no—
532C2×D188—22no—
533C2×D188—41no—
534C2×D188—41no—
535C2×D188—41no—
536C2×D188—41no—
537C2×D188—41no—
538C2×D188—41no—
539C2×C4×D47—22no—
540C2×C4×D47—22no—
541C2×C4×D47—22no—
542C2×C4×D47—22no—
543C2×C4×D47—22no—
544C2×C4×D47—22no—
545C2×C4×D47—22no—
546C2×C4×D47—22no—
547C2×C4×D47—22no—
548C2×C4×D47—41no—
549C2×C4×D47—41no—
550C2×C4×D47—41no—
551C2×C4×D47—41no—
552C2×C4×D47—41no—
553C2×C4×D47—41no—
554C2×C4×D47—41no—
555C2×C4×D47—41no—
556C2×C4×D47—416no—
557C2×C4×D47—41no—
558C2×C4×D47—41no—
559C2×C4×D47—41no—
560C2×C4×D47—41no—
561C2×C4×D47—41no—
562C2×C4×D47—41no—
563C2×C4×D47C2×D414yes—
564C4⋊C4×C47—41no—
565C4⋊C4×C47—41no—
566C4⋊C4×C47—41no—
567C22⋊C4×C47—22no—
568C22⋊C4×C47—22no—
569C22⋊C4×C47—22no—
570C22⋊C4×C47—22no—
571C22⋊C4×C47—22no—
572C22⋊C4×C47—22no—
573C22⋊C4×C47—22no—
574C22⋊C4×C47—22no—
575C22⋊C4×C47—22no—
576C22⋊C4×C47—22no—
577C22⋊C4×C47—41no—
578C22⋊C4×C47—41no—
579C22⋊C4×C47—41no—
580C22⋊C4×C47—41no—
581C22⋊C4×C47—41no—
582C22⋊C4×C47—41no—
583C22⋊C4×C47C2×D414yescomplemented
584C42×C47—22no—
585C42×C47—41no—
586C22⋊Dic47—22no—
587C22⋊Dic47—22no—
588C22⋊Dic47—22no—
589C22⋊Dic47—22no—
590C22⋊Dic47—22no—
591C22⋊Dic47—22no—
592C22⋊Dic47—41no—
593C22⋊Dic47—41no—
594C22⋊Dic47—41no—
595C22⋊Dic47—41no—
596C22⋊Dic47—41no—
597(C2×D47)⋊C4—22no—
598(C2×D47)⋊C4—22no—
599(C2×D47)⋊C4—22no—
600(C2×D47)⋊C4—22no—
601(C2×D47)⋊C4—22no—
602(C2×D47)⋊C4—22no—
603(C2×D47)⋊C4—22no—
604(C2×D47)⋊C4—22no—
605(C2×D47)⋊C4—22no—
606(C2×D47)⋊C4—22no—
607(C2×D47)⋊C4—22no—
608(C2×D47)⋊C4—22no—
609(C2×D47)⋊C4—22no—
610(C2×D47)⋊C4—22no—
611(C2×D47)⋊C4—22no—
612(C2×D47)⋊C4—22no—
613(C2×D47)⋊C4—22no—
614(C2×D47)⋊C4—41no—
615(C2×D47)⋊C4—41no—
616(C2×D47)⋊C4—41no—
617(C2×D47)⋊C4—41no—
618(C2×D47)⋊C4—41no—
619(C2×D47)⋊C4—41no—
620(C2×D47)⋊C4—41no—
621(C2×D47)⋊C4—41no—
622(C2×D47)⋊C4—41no—
623(C2×D47)⋊C4—41no—
624(C2×D47)⋊C4C2×D414yes—
625C4⋊Dic47—22no—
626C4⋊Dic47—22no—
627C4⋊Dic47—22no—
628C4⋊Dic47—41no—
629C4⋊Dic47—41no—
630Dic47⋊C4—22no—
631Dic47⋊C4—22no—
632Dic47⋊C4—22no—
633Dic47⋊C4—22no—
634Dic47⋊C4—22no—
635Dic47⋊C4—22no—
636Dic47⋊C4—22no—
637Dic47⋊C4—41no—
638Dic47⋊C4—41no—
639Dic47⋊C4—41no—
640Dic47⋊C4—41no—
641Dic47⋊C4C2×D414yescomplemented
642C4×Dic47—22no—
643C4×Dic47—22no—
644C4×Dic47—22no—
645C4×Dic47—41no—
646C4×Dic47C2×D414yescomplemented
647C23×C47—21no—
648C23×C47—21no—
649C23×C47—21no—
650C23×C47—21no—
651C23×C47—28no—
652C23×C47—21no—
653C23×C47—21no—
654C23×C47—21no—
655C23×C47—21no—
656C23×C47—21no—
657C23×C47—21no—
658C23×C47—21no—
659C23×C47—21no—
660C23×C47—21no—
661C23×C47—21no—
662C23×C47—21no—
663C23×C47—21no—
664C23×C47—21no—
665C23×C47—21no—
666C23×C47—21no—
667C23×C47—21no—
668C23×C47—21no—
669C23×C47—21no—
670C23×C47—21no—
671C23×C47—44no—
672C23×C47—44no—
673C23×C47—44no—
674C23×C47—44no—
675C23×C47—44no—
676C23×C47—44no—
677C23×C47C22×D412yes—
678C23×C47C2×#4112yes—
679C23×C47C2×#4112yes—
680C23×C47H(5,𝔽2)12yes—
681C23×C47H(5,𝔽2)12yes—
682C23×C47C2511yescharacteristic
683C22×D47—21no—
684C22×D47—21no—
685C22×D47—21no—
686C22×D47—21no—
687C22×D47—28no—
688C22×D47—21no—
689C22×D47—21no—
690C22×D47—21no—
691C22×D47—21no—
692C22×D47—21no—
693C22×D47—21no—
694C22×D47—28no—
695C22×D47—21no—
696C22×D47—21no—
697C22×D47—21no—
698C22×D47—21no—
699C22×D47—21no—
700C22×D47—21no—
701C22×D47—21no—
702C22×D47—21no—
703C22×D47—21no—
704C22×D47—21no—
705C22×D47—21no—
706C22×D47—21no—
707C22×D47—21no—
708C22×D47—21no—
709C22×D47—44no—
710C22×D47—44no—
711C22×D47—44no—
712C22×D47—44no—
713C22×D47—44no—
714C22×D47—44no—
715C22×D47—44no—
716C22×D47—44no—
717C22×D47—82no—
718C22×D47—82no—
719C22×D47—82no—
720C22×D47—82no—
721C22×D47C22×D412yes—
722C22×D47C2×#4112yes—
723C22×D47C2×#4112yes—
724C22×D47C2×#4112yes—
725Q8×C47—82no—
726D4×C47—44no—
727D4×C47—82no—
728D4×C47—82no—
729C2×C4×C47—21no—
730C2×C4×C47—21no—
731C2×C4×C47—21no—
732C2×C4×C47—21no—
733C2×C4×C47—21no—
734C2×C4×C47—21no—
735C2×C4×C47—21no—
736C2×C4×C47—21no—
737C2×C4×C47—21no—
738C2×C4×C47—21no—
739C2×C4×C47—21no—
740C2×C4×C47—21no—
741C2×C4×C47—21no—
742C2×C4×C47—21no—
743C2×C4×C47—21no—
744C2×C4×C47—21no—
745C2×C4×C47—21no—
746C2×C4×C47—21no—
747C2×C4×C47—21no—
748C2×C4×C47—21no—
749C2×C4×C47—21no—
750C2×C4×C47—21no—
751C2×C4×C47—21no—
752C2×C4×C47—21no—
753C2×C4×C47—21no—
754C2×C4×C47—21no—
755C2×C4×C47—21no—
756C2×C4×C47—21no—
757C2×C4×C47—21no—
758C2×C4×C47—21no—
759C2×C4×C47—21no—
760C2×C4×C47—44no—
761C2×C4×C47—44no—
762C2×C4×C47C22×D412yes—
763C2×C4×C47C22×D412yes—
764C22⋊D47—28no—
765C22⋊D47—28no—
766C22⋊D47—28no—
767C22⋊D47—28no—
768C22⋊D47—44no—
769C22⋊D47—44no—
770C22⋊D47—44no—
771C22⋊D47—82no—
772C22⋊D47—82no—
773C22⋊D47—82no—
774C22⋊D47—82no—
775C22⋊D47—82no—
776C2×Dic47—28no—
777C2×Dic47—28no—
778C2×Dic47—21no—
779C2×Dic47—21no—
780C2×Dic47—21no—
781C2×Dic47—21no—
782C2×Dic47—21no—
783C2×Dic47—21no—
784C2×Dic47—21no—
785C2×Dic47—21no—
786C2×Dic47—21no—
787C2×Dic47—21no—
788C2×Dic47—21no—
789C2×Dic47—21no—
790C2×Dic47—21no—
791C2×Dic47—21no—
792C2×Dic47—21no—
793C2×Dic47—21no—
794C2×Dic47—21no—
795C2×Dic47—21no—
796C2×Dic47—21no—
797C2×Dic47—21no—
798C2×Dic47—21no—
799C2×Dic47—21no—
800C2×Dic47—21no—
801C2×Dic47—21no—
802C2×Dic47—21no—
803C2×Dic47—21no—
804C2×Dic47—21no—
805C2×Dic47—21no—
806C2×Dic47—21no—
807C2×Dic47—21no—
808C2×Dic47—21no—
809C2×Dic47—44no—
810C2×Dic47—44no—
811C2×Dic47—44no—
812C2×Dic47—44no—
813C2×Dic47—44no—
814C2×Dic47C22×D412yes—
815C2×Dic47C22×D412yes—
816C2×Dic47C22×D412yes—
817C2×Dic47C2×#4112yes—
818C2×Dic47H(5,𝔽2)12yes—
819D188—44no—
820D188—44no—
821D188—44no—
822D188—82no—
823C4×D47—44no—
824C4×D47—44no—
825C4×D47—44no—
826C4×D47—44no—
827C4×D47—44no—
828C4×D47—82no—
829C4×D47—82no—
830C4×D47—82no—
831#34990—471nomaximal, Sylow
832C22×C47—22no—
833C22×C47—22no—
834C22×C47—22no—
835C22×C47—22no—
836C22×C47—22no—
837C22×C47—22no—
838C22×C47—22no—
839C22×C47—22no—
840C22×C47—22no—
841C22×C47—22no—
842C22×C47—22no—
843C22×C47—22no—
844C22×C47—416no—
845C22×C47—41no—
846C22×C47—41no—
847C22×C47—41no—
848C22×C47—41no—
849C22×C47—41no—
850C22×C47—41no—
851C22×C47—41no—
852C22×C47—41no—
853C22×C47—41no—
854C22×C47—41no—
855C22×C47—41no—
856C22×C47—41no—
857C22×C47—41no—
858C22×C47—41no—
859C22×C47—41no—
860C22×C47#53814yescomplemented
861C22×C47C23×D411yescharacteristic
862C22×C47C22×#4111yescharacteristic
863C22×C47C22×#4111yescharacteristic
864C22×C47C2×H(5,𝔽2)11yescharacteristic
865C22×C47C2×H(5,𝔽2)11yescharacteristic
866C22×C47C2×H(5,𝔽2)11yescharacteristic
867C22×C47#58511yescharacteristic
868C2×D47—22no—
869C2×D47—22no—
870C2×D47—22no—
871C2×D47—22no—
872C2×D47—22no—
873C2×D47—22no—
874C2×D47—22no—
875C2×D47—22no—
876C2×D47—22no—
877C2×D47—416no—
878C2×D47—41no—
879C2×D47—41no—
880C2×D47—41no—
881C2×D47—41no—
882C2×D47—41no—
883C2×D47—41no—
884C2×D47—41no—
885C2×D47—41no—
886C2×D47—41no—
887C2×D47—41no—
888C2×D47—41no—
889C2×D47—41no—
890C2×D47—41no—
891C2×D47—41no—
892C2×D47—41no—
893C2×D47—41no—
894C2×D47—41no—
895C2×D47—41no—
896C2×D47—88no—
897C2×D47#52514yes—
898C4×C47—22no—
899C4×C47—22no—
900C4×C47—41no—
901C4×C47—41no—
902C4×C47—41no—
903C4×C47—41no—
904C4×C47—41no—
905C4×C47—41no—
906C4×C47—41no—
907C4×C47—41no—
908C4×C47—41no—
909Dic47—22no—
910Dic47—22no—
911Dic47—22no—
912Dic47—22no—
913Dic47—22no—
914Dic47—41no—
915Dic47—41no—
916Dic47—41no—
917Dic47—41no—
918Dic47—41no—
919Dic47—41no—
920Dic47—41no—
921C2×#538—471no—
922C22×C4×D4—471no—
923#2852—471no—
924#2850—471no—
925#2849—471no—
926#2847—471no—
927#2636—471no—
928#2635—471no—
929#2631—471no—
930#2630—471no—
931#2481—471no—
932#2472D4711yescharacteristic, complemented
933#2467—471no—
934#2459—471no—
935#2456—471no—
936#2456—471no—
937#2450—471no—
938#2444—471no—
939#2443—471no—
940#2437—471no—
941#2424—471no—
942#2424—471no—
943#2418—471no—
944#2410—471no—
945#2410—471no—
946#2403—471no—
947#2325—471no—
948#2321—471no—
949#2318—471no—
950C4×#120—471no—
951C2×#386—471no—
952C2×C47—24no—
953C2×C47—42no—
954C2×C47—42no—
955C2×C47—81no—
956C2×C47C2×#52511yescharacteristic
957C2×C47C2×#53811yescharacteristic
958C2×C47#345911yescharacteristic
959C2×C47#348411yescharacteristic
960C2×C47#348811yescharacteristic
961C2×C47#351311yescharacteristic
962C2×C47#351911yescharacteristic
963D47—24no—
964D47—42no—
965D47—81no—
966D47—81no—
967C23×D4—471no—
968C23×D4—471no—
969C24×C4—471no—
970C24×C4—471no—
971#538—948no—
972C2×#126—471no—
973C2×#126—471no—
974C2×#124—471no—
975C2×#124C2×D4711yescharacteristic, complemented
976C2×#123—471no—
977C2×#123—471no—
978C2×#123—471no—
979C2×C22⋊Q8—471no—
980C2×C22⋊Q8C2×D4711yescharacteristic, complemented
981C2×#121—471no—
982C2×#121—471no—
983C2×#121—471no—
984C2×#121—471no—
985C2×#121—471no—
986C2×#121—471no—
987C2×#121—471no—
988C2×#120—471no—
989C2×#120—471no—
990C2×#120—471no—
991C2×#120—471no—
992C2×#120—471no—
993C2×#120—471no—
994C2×#120C2×D4711yescharacteristic
995C2×C4×D4—471no—
996C2×C4×D4—471no—
997C2×C4×D4—471no—
998C2×C4×D4—471no—
999C2×C4×D4—471no—
1000C2×C4×D4—471no—
1001C2×C4×D4—471no—
1002C2×C4×D4—471no—
1003C2×C4×D4—471no—
1004C2×C4×D4—471no—
1005C2×C4×D4—471no—
1006C2×C4×D4—948no—
1007C22×C4⋊C4—471no—
1008C22×C22⋊C4—471no—
1009C22×C22⋊C4—471no—
1010C22×C22⋊C4—471no—
1011C22×C22⋊C4—471no—
1012C22×C22⋊C4C2×D4711yescharacteristic, complemented
1013C22×C42—471no—
1014#400—471no—
1015#400—471no—
1016#399—471no—
1017#399—471no—
1018#398—471no—
1019#397—471no—
1020#397—471no—
1021#397C2×D4711yescharacteristic, complemented
1022#396—471no—
1023#396—471no—
1024#396—471no—
1025#396—471no—
1026#394—471no—
1027#394—471no—
1028#394—471no—
1029#394—471no—
1030#394—471no—
1031#394—471no—
1032#394—471no—
1033#394C2×D4711yescharacteristic, complemented
1034#394C2×D4711yescharacteristic, complemented
1035#393—471no—
1036#393C2×D4711yescharacteristic, complemented
1037#392—471no—
1038#392—471no—
1039#392—471no—
1040#392—471no—
1041#392—471no—
1042#392—471no—
1043#392—471no—
1044#392—471no—
1045#392—471no—
1046#391—471no—
1047#390—471no—
1048#390—471no—
1049#390C2×D4711yescharacteristic, complemented
1050#388—471no—
1051#388—471no—
1052#388—471no—
1053#388—471no—
1054#388—471no—
1055#388—471no—
1056#388—471no—
1057#388—471no—
1058#388—471no—
1059#388—471no—
1060#388C2×D4711yescharacteristic, complemented
1061#388C2×D4711yescharacteristic, complemented
1062#387—471no—
1063#387—471no—
1064#387—471no—
1065#387—471no—
1066#387—471no—
1067#387—471no—
1068#386—471no—
1069#386—471no—
1070#386—471no—
1071#386—471no—
1072#386—471no—
1073#386—471no—
1074#386—471no—
1075#386—471no—
1076#386—471no—
1077#386—471no—
1078#386—471no—
1079#386—471no—
1080#386—471no—
1081#386—471no—
1082#386—471no—
1083#386—471no—
1084#386—471no—
1085#386—471no—
1086#386—471no—
1087#386—471no—
1088#386—471no—
1089#386—471no—
1090#386—471no—
1091#386—471no—
1092#386—471no—
1093#386—471no—
1094#386C2×D4711yescharacteristic
1095#386C2×D4711yescharacteristic
1096#385—471no—
1097#385—471no—
1098#385—471no—
1099#385—471no—
1100#385—471no—
1101#385—471no—
1102#385—471no—
1103#385—471no—
1104#385—471no—
1105#385—471no—
1106#385—471no—
1107#385—471no—
1108#383—471no—
1109#382—471no—
1110#381—471no—
1111#381—471no—
1112#380—471no—
1113#380—471no—
1114#380—471no—
1115#380—471no—
1116#379—471no—
1117#379—471no—
1118#379C2×D4711yescharacteristic, complemented
1119C4×C22⋊C4—471no—
1120C4×C22⋊C4—471no—
1121C4×C22⋊C4C2×D4711yescharacteristic, complemented
1122C2×#95—471no—
1123C2×#95—471no—
1124C47#3499011yescharacteristic, complemented, Sylow
1125C25—471no—
1126C25—471no—
1127C25C22×D4711yescharacteristic
1128C22×Q8C22×D4711yescharacteristic
1129C22×D4—471no—
1130C22×D4—471no—
1131C22×D4—471no—
1132C22×D4—471no—
1133C22×D4—471no—
1134C22×D4—471no—
1135C22×D4—471no—
1136C22×D4—471no—
1137C22×D4—471no—
1138C22×D4—471no—
1139C22×D4—471no—
1140C22×D4—471no—
1141C22×D4—471no—
1142C22×D4—471no—
1143C22×D4—471no—
1144C22×D4—471no—
1145C22×D4—944no—
1146C22×D4—944no—
1147C22×D4—944no—
1148C22×D4—944no—
1149C22×D4—1882no—
1150C22×D4—1882no—
1151C22×D4C22×D4711yescharacteristic
1152C22×D4C22×D4711yescharacteristic
1153C22×D4C22×D4711yescharacteristic
1154C23×C4—471no—
1155C23×C4—471no—
1156C23×C4—471no—
1157C23×C4—471no—
1158C23×C4—471no—
1159C23×C4—471no—
1160C23×C4—471no—
1161C23×C4—471no—
1162C23×C4—471no—
1163C23×C4—471no—
1164C23×C4—471no—
1165C23×C4—471no—
1166C23×C4—471no—
1167C23×C4—471no—
1168C23×C4—471no—
1169C23×C4—944no—
1170C23×C4—944no—
1171C23×C4—1882no—
1172C23×C4—1882no—
1173C23×C4—1882no—
1174C23×C4—1882no—
1175C23×C4C22×D4711yescharacteristic
1176C23×C4C22×D4711yescharacteristic
1177#126—944no—
1178#126—944no—
1179#124—24no—
1180#124—944no—
1181#123—944no—
1182#123—944no—
1183#123—1882no—
1184C22⋊Q8—42no—
1185C22⋊Q8—944no—
1186#121—944no—
1187#121—944no—
1188#121—944no—
1189#121—944no—
1190#121—1882no—
1191#121—1882no—
1192#121—1882no—
1193#120—42no—
1194#120—944no—
1195#120—944no—
1196#120—944no—
1197#120—944no—
1198#120—1882no—
1199#120—1882no—
1200C4×D4—478no—
1201C4×D4—944no—
1202C4×D4—944no—
1203C4×D4—944no—
1204C4×D4—944no—
1205C4×D4—944no—
1206C4×D4—944no—
1207C4×D4—944no—
1208C4×D4—944no—
1209C4×D4—1882no—
1210C4×D4—1882no—
1211C2×C4⋊C4—471no—
1212C2×C4⋊C4—471no—
1213C2×C4⋊C4—471no—
1214C2×C4⋊C4—471no—
1215C2×C4⋊C4—471no—
1216C2×C4⋊C4—471no—
1217C2×C4⋊C4—471no—
1218C2×C4⋊C4—471no—
1219C2×C4⋊C4—471no—
1220C2×C4⋊C4—471no—
1221C2×C4⋊C4—471no—
1222C2×C4⋊C4—471no—
1223C2×C4⋊C4—471no—
1224C2×C4⋊C4—471no—
1225C2×C4⋊C4—471no—
1226C2×C4⋊C4—471no—
1227C2×C4⋊C4—471no—
1228C2×C4⋊C4—944no—
1229C2×C4⋊C4C22×D4711yescharacteristic
1230C2×C4⋊C4C22×D4711yescharacteristic
1231C2×C4⋊C4C22×D4711yescharacteristic
1232C2×C22⋊C4—24no—
1233C2×C22⋊C4—471no—
1234C2×C22⋊C4—471no—
1235C2×C22⋊C4—471no—
1236C2×C22⋊C4—471no—
1237C2×C22⋊C4—471no—
1238C2×C22⋊C4—471no—
1239C2×C22⋊C4—471no—
1240C2×C22⋊C4—471no—
1241C2×C22⋊C4—471no—
1242C2×C22⋊C4—471no—
1243C2×C22⋊C4—471no—
1244C2×C22⋊C4—471no—
1245C2×C22⋊C4—471no—
1246C2×C22⋊C4—471no—
1247C2×C22⋊C4—471no—
1248C2×C22⋊C4—471no—
1249C2×C22⋊C4—471no—
1250C2×C22⋊C4—471no—
1251C2×C22⋊C4—471no—
1252C2×C22⋊C4—471no—
1253C2×C22⋊C4—471no—
1254C2×C22⋊C4—471no—
1255C2×C22⋊C4—471no—
1256C2×C22⋊C4—471no—
1257C2×C22⋊C4—471no—
1258C2×C22⋊C4—471no—
1259C2×C22⋊C4—471no—
1260C2×C22⋊C4—471no—
1261C2×C22⋊C4—471no—
1262C2×C22⋊C4—471no—
1263C2×C22⋊C4—471no—
1264C2×C22⋊C4—471no—
1265C2×C22⋊C4—471no—
1266C2×C22⋊C4—471no—
1267C2×C22⋊C4—471no—
1268C2×C22⋊C4—471no—
1269C2×C22⋊C4—471no—
1270C2×C22⋊C4—471no—
1271C2×C22⋊C4—471no—
1272C2×C22⋊C4—944no—
1273C2×C22⋊C4—944no—
1274C2×C22⋊C4—1882no—
1275C2×C22⋊C4—1882no—
1276C2×C22⋊C4C22×D4711yescharacteristic
1277C2×C22⋊C4C22×D4711yescharacteristic
1278C2×C22⋊C4C22×D4711yescharacteristic
1279C2×C22⋊C4C22×D4711yescharacteristic
1280C2×C22⋊C4C22×D4711yescharacteristic
1281C2×C22⋊C4C22×D4711yescharacteristic
1282C2×C22⋊C4C22×D4711yescharacteristic
1283C2×C22⋊C4C22×D4711yescharacteristic
1284C2×C22⋊C4C22×D4711yescharacteristic
1285C2×C22⋊C4C22×D4711yescharacteristic
1286C2×C22⋊C4C22×D4711yescharacteristic
1287C2×C22⋊C4C22×D4711yescharacteristic
1288C2×C22⋊C4C22×D4711yescharacteristic
1289C2×C22⋊C4C22×D4711yescharacteristic
1290C2×C22⋊C4C22×D4711yescharacteristic
1291C2×C22⋊C4C22×D4711yescharacteristic
1292C2×C22⋊C4C22×D4711yescharacteristic
1293C2×C42—471no—
1294C2×C42—471no—
1295C2×C42—471no—
1296C2×C42—471no—
1297C2×C42—471no—
1298C2×C42—944no—
1299C2×C42C22×D4711yescharacteristic
1300C2×C42C22×D4711yescharacteristic
1301#95—471no—
1302#95—471no—
1303#95—471no—
1304#95—471no—
1305#95—471no—
1306#95—471no—
1307#95—471no—
1308#95—471no—
1309#95—471no—
1310#95—471no—
1311#95—471no—
1312#95—471no—
1313#95—471no—
1314#95—471no—
1315#95—471no—
1316#95—471no—
1317#95—471no—
1318#95—471no—
1319#95—471no—
1320#95—471no—
1321#95—471no—
1322#95—471no—
1323#95—471no—
1324#95—471no—
1325#95—471no—
1326#95—471no—
1327#95C22×D4711yescharacteristic
1328#95C22×D4711yescharacteristic
1329#95C22×D4711yescharacteristic
1330#95C22×D4711yescharacteristic
1331#95C22×D4711yescharacteristic
1332#95C22×D4711yescharacteristic
1333C24—22no—
1334C24—22no—
1335C24—22no—
1336C24—22no—
1337C24—22no—
1338C24—41no—
1339C24—41no—
1340C24—471no—
1341C24—471no—
1342C24—474no—
1343C24—471no—
1344C24—471no—
1345C24—942no—
1346C24—942no—
1347C24—942no—
1348C24—942no—
1349C24—942no—
1350C24—942no—
1351C24—942no—
1352C24—1881no—
1353C24—1881no—
1354C24—1881no—
1355C24—1881no—
1356C24—1881no—
1357C24—1881no—
1358C24C23×D4711yescharacteristic
1359C24C23×D4711yescharacteristic
1360C24C23×D4711yescharacteristic
1361C24C23×D4711yescharacteristic
1362C2×Q8—22no—
1363C2×Q8—41no—
1364C2×Q8—41no—
1365C2×D4—22no—
1366C2×D4—22no—
1367C2×D4—22no—
1368C2×D4—22no—
1369C2×D4—22no—
1370C2×D4—41no—
1371C2×D4—41no—
1372C2×D4—41no—
1373C2×D4—41no—
1374C2×D4—474no—
1375C2×D4—474no—
1376C2×D4—942no—
1377C2×D4—942no—
1378C2×D4—942no—
1379C2×D4—942no—
1380C2×D4—942no—
1381C2×D4—942no—
1382C2×D4—942no—
1383C2×D4—942no—
1384C2×D4—942no—
1385C2×D4—942no—
1386C2×D4—942no—
1387C2×D4—942no—
1388C2×D4—942no—
1389C2×D4—942no—
1390C2×D4—9432no—
1391C2×D4—942no—
1392C2×D4—942no—
1393C2×D4—942no—
1394C2×D4—942no—
1395C2×D4—942no—
1396C2×D4—942no—
1397C2×D4—942no—
1398C2×D4—942no—
1399C2×D4—942no—
1400C2×D4—942no—
1401C2×D4—942no—
1402C2×D4—942no—
1403C2×D4—942no—
1404C2×D4—942no—
1405C2×D4—1881no—
1406C2×D4—1881no—
1407C2×D4—1881no—
1408C2×D4—1881no—
1409C2×D4—1881no—
1410C2×D4—1881no—
1411C2×D4—1881no—
1412C2×D4—1881no—
1413C2×D4—1881no—
1414C2×D4—1881no—
1415C2×D4—1881no—
1416C2×D4—1881no—
1417C2×D4—1881no—
1418C2×D4—1881no—
1419C2×D4—1881no—
1420C2×D4—1881no—
1421C2×D4—1881no—
1422C2×D4—1881no—
1423C2×D4—18816no—
1424C22×C4—22no—
1425C22×C4—22no—
1426C22×C4—22no—
1427C22×C4—22no—
1428C22×C4—41no—
1429C22×C4—41no—
1430C22×C4—471no—
1431C22×C4—471no—
1432C22×C4—471no—
1433C22×C4—471no—
1434C22×C4—471no—
1435C22×C4—474no—
1436C22×C4—474no—
1437C22×C4—471no—
1438C22×C4—471no—
1439C22×C4—471no—
1440C22×C4—471no—
1441C22×C4—471no—
1442C22×C4—471no—
1443C22×C4—471no—
1444C22×C4—942no—
1445C22×C4—942no—
1446C22×C4—942no—
1447C22×C4—942no—
1448C22×C4—942no—
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—942no—
1459C22×C4—942no—
1460C22×C4—942no—
1461C22×C4—942no—
1462C22×C4—942no—
1463C22×C4—942no—
1464C22×C4—942no—
1465C22×C4—942no—
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—
1477C22×C4—1881no—
1478C22×C4—1881no—
1479C22×C4—1881no—
1480C22×C4—18816no—
1481C22×C4—1881no—
1482C22×C4—1881no—
1483C22×C4—1881no—
1484C22×C4—1881no—
1485C22×C4—1881no—
1486C22×C4—1881no—
1487C22×C4—1881no—
1488C22×C4—18816no—
1489C22×C4C23×D4711yescharacteristic
1490C22×C4C23×D4711yescharacteristic
1491C22×C4C23×D4711yescharacteristic
1492C22×C4C23×D4711yescharacteristic
1493C22×C4C23×D4711yescharacteristic
1494C22×C4C23×D4711yescharacteristic
1495C22×C4C23×D4711yescharacteristic
1496C22×C4C23×D4711yescharacteristic
1497C22×C4C23×D4711yescharacteristic
1498C22×C4C23×D4711yescharacteristic
1499C22×C4C23×D4711yescharacteristic
1500C4⋊C4—41no—
1501C4⋊C4—41no—
1502C4⋊C4—41no—
1503C4⋊C4—474no—
1504C4⋊C4—942no—
1505C4⋊C4—942no—
1506C4⋊C4—942no—
1507C4⋊C4—942no—
1508C4⋊C4—942no—
1509C4⋊C4—942no—
1510C4⋊C4—942no—
1511C4⋊C4—942no—
1512C4⋊C4—942no—
1513C4⋊C4—942no—
1514C4⋊C4—1881no—
1515C4⋊C4—1881no—
1516C4⋊C4—1881no—
1517C4⋊C4—1881no—
1518C4⋊C4—1881no—
1519C4⋊C4—1881no—
1520C22⋊C4—22no—
1521C22⋊C4—22no—
1522C22⋊C4—22no—
1523C22⋊C4—22no—
1524C22⋊C4—22no—
1525C22⋊C4—22no—
1526C22⋊C4—22no—
1527C22⋊C4—22no—
1528C22⋊C4—22no—
1529C22⋊C4—22no—
1530C22⋊C4—41no—
1531C22⋊C4—41no—
1532C22⋊C4—41no—
1533C22⋊C4—41no—
1534C22⋊C4—41no—
1535C22⋊C4—41no—
1536C22⋊C4—474no—
1537C22⋊C4—942no—
1538C22⋊C4—942no—
1539C22⋊C4—942no—
1540C22⋊C4—942no—
1541C22⋊C4—942no—
1542C22⋊C4—942no—
1543C22⋊C4—942no—
1544C22⋊C4—942no—
1545C22⋊C4—942no—
1546C22⋊C4—942no—
1547C22⋊C4—942no—
1548C22⋊C4—942no—
1549C22⋊C4—942no—
1550C22⋊C4—942no—
1551C22⋊C4—942no—
1552C22⋊C4—942no—
1553C22⋊C4—942no—
1554C22⋊C4—942no—
1555C22⋊C4—942no—
1556C22⋊C4—942no—
1557C22⋊C4—942no—
1558C22⋊C4—942no—
1559C22⋊C4—942no—
1560C22⋊C4—1881no—
1561C22⋊C4—1881no—
1562C22⋊C4—1881no—
1563C22⋊C4—1881no—
1564C22⋊C4—1881no—
1565C22⋊C4—1881no—
1566C22⋊C4—1881no—
1567C22⋊C4—1881no—
1568C22⋊C4—1881no—
1569C22⋊C4—1881no—
1570C22⋊C4—1881no—
1571C22⋊C4—1881no—
1572C22⋊C4—1881no—
1573C22⋊C4—1881no—
1574C22⋊C4—1881no—
1575C22⋊C4D4×D4714yescomplemented
1576C42—22no—
1577C42—41no—
1578C42—474no—
1579C42—942no—
1580C42—942no—
1581C42—942no—
1582C42—1881no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—28no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—21no—
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—44no—
1608C23—44no—
1609C23—44no—
1610C23—44no—
1611C23—44no—
1612C23—44no—
1613C23—472no—
1614C23—472no—
1615C23—472no—
1616C23—472no—
1617C23—948no—
1618C23—941no—
1619C23—941no—
1620C23—941no—
1621C23—941no—
1622C23—941no—
1623C23—941no—
1624C23—941no—
1625C23—941no—
1626C23—941no—
1627C23—941no—
1628C23—948no—
1629C23—941no—
1630C23—941no—
1631C23—941no—
1632C23—941no—
1633C23—941no—
1634C23—941no—
1635C23—941no—
1636C23—941no—
1637C23—941no—
1638C23—941no—
1639C23—941no—
1640C23—941no—
1641C23—941no—
1642C23—941no—
1643C23—3762no—
1644C23—3762no—
1645C23—3762no—
1646C23—3762no—
1647C23—1884no—
1648C23—1884no—
1649C23—1884no—
1650C23—1884no—
1651C23—1884no—
1652C23—1884no—
1653C23—1884no—
1654C23—1884no—
1655C23C2×D4×D4712yes—
1656C23#41×D4712yes—
1657C23#41×D4712yes—
1658C23#1309406912yes—
1659C23#1309407012yes—
1660C23C24×D4711yescharacteristic
1661Q8—82no—
1662D4—44no—
1663D4—82no—
1664D4—82no—
1665D4—948no—
1666D4—948no—
1667D4—948no—
1668D4—948no—
1669D4—3762no—
1670D4—3762no—
1671D4—3762no—
1672D4—3762no—
1673D4—3762no—
1674D4—3762no—
1675D4—1884no—
1676D4—1884no—
1677D4—1884no—
1678D4—1884no—
1679D4—1884no—
1680D4—1884no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—44no—
1713C2×C4—44no—
1714C2×C4—472no—
1715C2×C4—472no—
1716C2×C4—472no—
1717C2×C4—472no—
1718C2×C4—472no—
1719C2×C4—948no—
1720C2×C4—948no—
1721C2×C4—941no—
1722C2×C4—941no—
1723C2×C4—941no—
1724C2×C4—941no—
1725C2×C4—941no—
1726C2×C4—941no—
1727C2×C4—941no—
1728C2×C4—941no—
1729C2×C4—941no—
1730C2×C4—941no—
1731C2×C4—941no—
1732C2×C4—941no—
1733C2×C4—941no—
1734C2×C4—941no—
1735C2×C4—941no—
1736C2×C4—941no—
1737C2×C4—941no—
1738C2×C4—941no—
1739C2×C4—941no—
1740C2×C4—941no—
1741C2×C4—941no—
1742C2×C4—941no—
1743C2×C4—941no—
1744C2×C4—941no—
1745C2×C4—941no—
1746C2×C4—941no—
1747C2×C4—941no—
1748C2×C4—941no—
1749C2×C4—941no—
1750C2×C4—941no—
1751C2×C4—941no—
1752C2×C4—3762no—
1753C2×C4—3762no—
1754C2×C4—3762no—
1755C2×C4—1884no—
1756C2×C4—1884no—
1757C2×C4—1884no—
1758C2×C4—1884no—
1759C2×C4—1884no—
1760C2×C4—1884no—
1761C2×C4—1884no—
1762C2×C4—1884no—
1763C2×C4—1884no—
1764C2×C4—1884no—
1765C2×C4C2×D4×D4712yes—
1766C2×C4C2×D4×D4712yes—
1767C22—22no—
1768C22—22no—
1769C22—22no—
1770C22—22no—
1771C22—22no—
1772C22—22no—
1773C22—22no—
1774C22—22no—
1775C22—22no—
1776C22—22no—
1777C22—22no—
1778C22—22no—
1779C22—416no—
1780C22—41no—
1781C22—41no—
1782C22—41no—
1783C22—41no—
1784C22—41no—
1785C22—41no—
1786C22—41no—
1787C22—41no—
1788C22—41no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—474no—
1796C22—942no—
1797C22—942no—
1798C22—942no—
1799C22—942no—
1800C22—942no—
1801C22—942no—
1802C22—942no—
1803C22—942no—
1804C22—942no—
1805C22—3768no—
1806C22—18816no—
1807C22—1881no—
1808C22—1881no—
1809C22—1881no—
1810C22—1881no—
1811C22—1881no—
1812C22—1881no—
1813C22—1881no—
1814C22—1881no—
1815C22—1881no—
1816C22—1881no—
1817C22—1881no—
1818C22—1881no—
1819C22—1881no—
1820C22—1881no—
1821C22—1881no—
1822C22—1881no—
1823C22—1881no—
1824C22—1881no—
1825C22#1568970714yescomplemented
1826C22C22×D4×D4711yescharacteristic
1827C22C2×#41×D4711yescharacteristic
1828C22C2×#41×D4711yescharacteristic
1829C22H(5,𝔽2)×D4711yescharacteristic
1830C22C2×#1309406911yescharacteristic
1831C22C2×#1309407011yescharacteristic
1832C22#1568995811yescharacteristic
1833C4—22no—
1834C4—22no—
1835C4—41no—
1836C4—41no—
1837C4—41no—
1838C4—41no—
1839C4—41no—
1840C4—41no—
1841C4—41no—
1842C4—41no—
1843C4—41no—
1844C4—942no—
1845C4—942no—
1846C4—942no—
1847C4—942no—
1848C4—942no—
1849C4—1881no—
1850C4—1881no—
1851C4—1881no—
1852C4—1881no—
1853C4—1881no—
1854C4—1881no—
1855C4—1881no—
1856C2—24no—
1857C2—42no—
1858C2—42no—
1859C2—81no—
1860C2—944no—
1861C2—3761no—
1862C2—3761no—
1863C2—1882no—
1864C2#525×D4711yescharacteristic
1865C2C2×#1568970711yescharacteristic
1866C2#2025679911yescharacteristic
1867C2#2025701811yescharacteristic
1868C2#2025704811yescharacteristic
1869C2#2025731511yescharacteristic
1870C2#2025740911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2472C2
hypercenter#2472D47
hypocenterC47#34990
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2472

Complements

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

NH ≅ G/Ntype
1. C2×#15689707C2semidirect
2. C22×(C22⋊D47)⋊C4C2semidirect
3. #20251701C2semidirect
4. #20251691C2semidirect
5. #20251682C2semidirect
6. #20251668C2semidirect
7. #20249290C2semidirect
8. #20249274C2semidirect
9. #20249246C2semidirect
10. #20249230C2semidirect
11. #20247649C2semidirect
12. #20247443C2semidirect
13. #20247321C2semidirect
14. #20247286C2semidirect
15. #20247277C2semidirect
16. #20247205C2semidirect
17. #20247133C2semidirect
18. #20247125C2semidirect
19. #20247051C2semidirect
20. #20246925C2semidirect
21. #20246924C2semidirect
22. #20246845C2semidirect
23. #20246764C2semidirect
24. #20246761C2semidirect
25. #20246699C2semidirect
26. #20246092C2semidirect
27. #20246047C2semidirect
28. #20246018C2semidirect
29. C4×#13093994C2semidirect
30. #386×D47C2semidirect
31. C47×#2472C2semidirect
34. C24×Dic47C22semidirect
37. C2×#13094018C22semidirect
38. C2×#13094017C22semidirect
39. C2×#13094013C22semidirect
40. C2×#13094008C22semidirect
41. C2×#13094008C22semidirect
42. C2×#13094006C22semidirect
43. C2×#13094000C22semidirect
47. C2×#13093997C22semidirect
49. C2×#13093996C22semidirect
50. C2×#13093996C22semidirect
52. C2×#13093994C22semidirect
54. C2×#13093993C22semidirect
57. C2×C4×D188C22semidirect
58. C2×C4×D188C22semidirect
59. C2×C4×C22⋊D47C22semidirect
65. C2×(C22⋊D47)⋊C4C22semidirect
66. C2×(C22⋊D47)⋊C4C22semidirect
67. C2×(C22⋊D47)⋊C4C22semidirect
68. C2×(C22⋊D47)⋊C4C22semidirect
69. C22×Dic47⋊C4C22semidirect
72. C2×C22⋊C4×D47C22semidirect
73. C2×C22⋊C4×D47C22semidirect
74. C22×C4×Dic47C22semidirect
75. #15689064C22semidirect
76. #15689064C22semidirect
77. #15689059C22semidirect
78. #15689058C22semidirect
79. #15689057C22semidirect
80. #15689052C22semidirect
81. #15689052C22semidirect
82. #15689047C22semidirect
83. #15689046C22semidirect
84. #15689045C22semidirect
85. #15689045C22semidirect
86. #15689041C22semidirect
87. #15689039C22semidirect
88. #15689038C22semidirect
89. #15689038C22semidirect
90. #15689038C22semidirect
91. #15689038C22semidirect
92. #15689038C22semidirect
93. #15689034C22semidirect
94. #15689033C22semidirect
97. #15689032C22semidirect
98. #15689032C22semidirect
99. #15689032C22semidirect
100. #15689032C22semidirect
103. #15689030C22semidirect
104. #15689024C22semidirect
105. #15689023C22semidirect
106. #15689017C22semidirect
107. #15689017C22semidirect
108. #15689016C22semidirect
109. #15689016C22semidirect
110. #15689014C22semidirect
111. #15689013C22semidirect
112. #15689013C22semidirect
113. #15689013C22semidirect
114. #15689013C22semidirect
115. #15689011C22semidirect
116. #15689010C22semidirect
117. #15689008C22semidirect
118. #15689007C22semidirect
119. #15689007C22semidirect
120. #15689005C22semidirect
121. #15689005C22semidirect
124. #15689003C22semidirect
125. #15689003C22semidirect
127. #15689001C22semidirect
128. #15689001C22semidirect
129. #15689001C22semidirect
130. #15689001C22semidirect
131. #15689001C22semidirect
135. #15689000C22semidirect
136. #15689000C22semidirect
137. #15689000C22semidirect
138. #15689000C22semidirect
139. #15689000C22semidirect
140. #15689000C22semidirect
145. #15688999C22semidirect
146. #15688999C22semidirect
147. #15688999C22semidirect
148. #15688998C22semidirect
149. #15688998C22semidirect
150. #15688998C22semidirect
151. #15688998C22semidirect
152. #15688997C22semidirect
153. #15688997C22semidirect
154. #15688997C22semidirect
155. #15688997C22semidirect
156. #15688996C22semidirect
157. #15688995C22semidirect
158. #15688994C22semidirect
159. #15688994C22semidirect
160. #15688990C22semidirect
161. #15688988C22semidirect
162. #15688984C22semidirect
163. #15688984C22semidirect
164. #15688981C22semidirect
165. #15688981C22semidirect
166. #15688981C22semidirect
167. #15688980C22semidirect
169. #15688978C22semidirect
170. C4×(C2×D47)⋊C4C22semidirect
171. C4×(C2×D47)⋊C4C22semidirect
172. #95×D47C22semidirect
173. #95×D47C22semidirect
174. C2×#124×C47C22semidirect
175. C2×C22⋊Q8×C47C22semidirect
177. C22×C22⋊C4×C47C22semidirect
178. C47×#397C22semidirect
179. C47×#394C22semidirect
180. C47×#394C22semidirect
181. C47×#393C22semidirect
182. C47×#390C22semidirect
183. C47×#388C22semidirect
184. C47×#388C22semidirect
187. C47×#379C22semidirect
188. C4×C22⋊C4×C47C22semidirect
264. (C22⋊D47)⋊C4D4semidirect
513. C22×Dic47C2×D4semidirect
583. C22⋊C4×C47C2×D4semidirect
641. Dic47⋊C4C2×D4semidirect
646. C4×Dic47C2×D4semidirect
860. C22×C47#538semidirect
932. #2472D47semidirect
975. C2×#124C2×D47semidirect
980. C2×C22⋊Q8C2×D47semidirect
1012. C22×C22⋊C4C2×D47semidirect
1021. #397C2×D47semidirect
1033. #394C2×D47semidirect
1034. #394C2×D47semidirect
1036. #393C2×D47semidirect
1049. #390C2×D47semidirect
1060. #388C2×D47semidirect
1061. #388C2×D47semidirect
1118. #379C2×D47semidirect
1121. C4×C22⋊C4C2×D47semidirect
1124. C47#34990semidirect
1575. C22⋊C4D4×D47semidirect
1825. C22#15689707semidirect

Maximal subgroups

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

subgroupindex
C2×#156897072
C22×(C22⋊D47)⋊C42
#202517012
#202516912
#202516822
#202516682
#202492902
#202492742
#202492462
#202492302
#202476492
#202474432
#202473212
#202472862
#202472772
#202472052
#202471332
#202471252
#202470512
#202469252
#202469242
#202468452
#202467642
#202467612
#202466992
#202460922
#202460472
#202460182
C4×#130939942
#386×D472
C47×#24722
#3499047