Finite Group Databasebeta

← #26423639

Subgroups — #26423639

Order 12032.

2954 conjugacy classes of subgroups.

The subgroup lattice has 1924 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689688C211yesmaximal, characteristic, complemented
2C2×#15689683C211yesmaximal, characteristic, complemented
3#20251668C211yesmaximal, characteristic, complemented
4#20251668C211yesmaximal, characteristic, complemented
5#20250222C211yesmaximal, characteristic, complemented
6#20250114C211yesmaximal, characteristic, complemented
7#20250105C211yesmaximal, characteristic, complemented
8#20250099C211yesmaximal, characteristic, complemented
9#20249823C211yesmaximal, characteristic, complemented
10#20249817C211yesmaximal, characteristic, complemented
11#20249793C211yesmaximal, characteristic, complemented
12#20249787C211yesmaximal, characteristic, complemented
13#20249763C211yesmaximal, characteristic, complemented
14#20249653C211yesmaximal, characteristic, complemented
15#20249647C211yesmaximal, characteristic, complemented
16#20249623C211yesmaximal, characteristic, complemented
17#20249617C211yesmaximal, characteristic, complemented
18#20249599C211yesmaximal, characteristic, complemented
19#20249595C211yesmaximal, characteristic, complemented
20#20249590C211yesmaximal, characteristic, complemented
21#20249122C211yesmaximal, characteristic, complemented
22#20247830C211yesmaximal, characteristic, complemented
23#20247828C211yesmaximal, characteristic, complemented
24#20246996C211yesmaximal, characteristic, complemented
25#20246994C211yesmaximal, characteristic, complemented
26#20246783C211yesmaximal, characteristic, complemented
27#20246781C211yesmaximal, characteristic, complemented
28#20246761C211yesmaximal, characteristic, complemented
29#20246759C211yesmaximal, characteristic, complemented
30C2×#15689000C211yesmaximal, characteristic, complemented
31C47×#2617C211yesmaximal, characteristic, complemented
32C22×#10625352C2211yescharacteristic, complemented
33C23×C22⋊D47C2211yescharacteristic
34C22×D4×D47C2211yescharacteristic
35C24×Dic47C2211yescharacteristic, complemented
36#15689688—28no—
37#15689683—28no—
38C2×#13094020C2211yescharacteristic
39C2×#13094020C2211yescharacteristic, complemented
40C2×#13094010C2211yescharacteristic
41C2×#13094010C2211yescharacteristic, complemented
42C2×#13094009C2211yescharacteristic, complemented
43C2×#13094008C2211yescharacteristic
44C2×#13094006C2211yescharacteristic
45C2×#13094006C2211yescharacteristic
46C2×#13094006C2211yescharacteristic, complemented
47C2×#13094005C2211yescharacteristic
48C2×#13093998C2211yescharacteristic
49C2×#13093997C2211yescharacteristic
50C2×#13093997C2211yescharacteristic
51C2×#13093997C2211yescharacteristic
52C2×#13093997C2211yescharacteristic, complemented
53C2×#13093996C2211yescharacteristic
54C2×#13093996C2211yescharacteristic
55C2×#13093996C2211yescharacteristic
56C2×#13093996C2211yescharacteristic, complemented
57C2×#13093996C2211yescharacteristic, complemented
58C2×#13093996C2211yescharacteristic, complemented
59C2×#13093996C2211yescharacteristic, complemented
60C2×#13093996C2211yescharacteristic, complemented
61C2×#13093995C2211yescharacteristic
62C2×#13093995C2211yescharacteristic
63C2×#13093994C2211yescharacteristic
64C2×#13093994C2211yescharacteristic, complemented
65C2×#13093993C2211yescharacteristic
66C2×#13093993C2211yescharacteristic, complemented
67C2×#13093992C2211yescharacteristic
68C2×#13093992C2211yescharacteristic
69C2×#13093992C2211yescharacteristic
70C2×#13093992C2211yescharacteristic, complemented
71C2×#13093980C2211yescharacteristic, complemented
72C22×(C2×D47)⋊C4C2211yescharacteristic
73C22×(C2×D47)⋊C4C2211yescharacteristic
74C2×C22⋊C4×D47C2211yescharacteristic
75#15689065C2211yescharacteristic, complemented
76#15689064C2211yescharacteristic, complemented
77#15689059C2211yescharacteristic, complemented
78#15689058C2211yescharacteristic, complemented
79#15689057C2211yescharacteristic, complemented
80#15689056C2211yescharacteristic, complemented
81#15689052C2211yescharacteristic, complemented
82#15689052C2211yescharacteristic, complemented
83#15689052C2211yescharacteristic, complemented
84#15689051C2211yescharacteristic, complemented
85#15689050C2211yescharacteristic, complemented
86#15689049C2211yescharacteristic, complemented
87#15689048C2211yescharacteristic, complemented
88#15689048C2211yescharacteristic, complemented
89#15689044C2211yescharacteristic, complemented
90#15689043C2211yescharacteristic, complemented
91#15689041C2211yescharacteristic, complemented
92#15689041C2211yescharacteristic, complemented
93#15689040C2211yescharacteristic, complemented
94#15689040C2211yescharacteristic, complemented
95#15689039C2211yescharacteristic, complemented
96#15689039C2211yescharacteristic, complemented
97#15689039C2211yescharacteristic, complemented
98#15689039C2211yescharacteristic, complemented
99#15689039C2211yescharacteristic, complemented
100#15689039C2211yescharacteristic, complemented
101#15689039C2211yescharacteristic, complemented
102#15689038C2211yescharacteristic, complemented
103#15689038C2211yescharacteristic, complemented
104#15689038C2211yescharacteristic, complemented
105#15689036C2211yescharacteristic, complemented
106#15689035C2211yescharacteristic, complemented
107#15689033C2211yescharacteristic, complemented
108#15689032C2211yescharacteristic, complemented
109#15689032C2211yescharacteristic, complemented
110#15689032C2211yescharacteristic, complemented
111#15689032C2211yescharacteristic, complemented
112#15689032C2211yescharacteristic, complemented
113#15689031C2211yescharacteristic, complemented
114#15689031C2211yescharacteristic, complemented
115#15689017C2211yescharacteristic, complemented
116#15689016C2211yescharacteristic, complemented
117#15689013C2211yescharacteristic, complemented
118#15689012C2211yescharacteristic, complemented
119#15689010C2211yescharacteristic, complemented
120#15689009C2211yescharacteristic, complemented
121#15689006C2211yescharacteristic, complemented
122#15689005C2211yescharacteristic, complemented
123#15689003C2211yescharacteristic
124#15689003C2211yescharacteristic, complemented
125#15689003C2211yescharacteristic, complemented
126#15689003C2211yescharacteristic, complemented
127#15689003C2211yescharacteristic, complemented
128#15689003C2211yescharacteristic, complemented
129#15689003C2211yescharacteristic, complemented
130#15689002C2211yescharacteristic
131#15689002C2211yescharacteristic, complemented
132#15689001C2211yescharacteristic, complemented
133#15689001C2211yescharacteristic, complemented
134#15689001C2211yescharacteristic, complemented
135#15689000C2211yescharacteristic
136#15689000C2211yescharacteristic
137#15689000C2211yescharacteristic
138#15689000C2211yescharacteristic
139#15689000C2211yescharacteristic
140#15689000C2211yescharacteristic, complemented
141#15689000C2211yescharacteristic, complemented
142#15689000C2211yescharacteristic, complemented
143#15689000C2211yescharacteristic, complemented
144#15689000C2211yescharacteristic, complemented
145#15689000C2211yescharacteristic, complemented
146#15689000C2211yescharacteristic, complemented
147#15689000C2211yescharacteristic, complemented
148#15689000C2211yescharacteristic, complemented
149#15689000C2211yescharacteristic, complemented
150#15688999C2211yescharacteristic, complemented
151#15688999C2211yescharacteristic, complemented
152#15688999C2211yescharacteristic, complemented
153#15688998C2211yescharacteristic, complemented
154#15688997C2211yescharacteristic, complemented
155#15688997C2211yescharacteristic, complemented
156#15688997C2211yescharacteristic, complemented
157#15688995C2211yescharacteristic, complemented
158#15688994C2211yescharacteristic, complemented
159#15688994C2211yescharacteristic, complemented
160#15688994C2211yescharacteristic, complemented
161#15688985C2211yescharacteristic, complemented
162#15688985C2211yescharacteristic, complemented
163#15688983C2211yescharacteristic, complemented
164#15688981C2211yescharacteristic, complemented
165#15688981C2211yescharacteristic, complemented
166#15688981C2211yescharacteristic, complemented
167#15688981C2211yescharacteristic, complemented
168#15688981C2211yescharacteristic, complemented
169#15688981C2211yescharacteristic, complemented
170#15688978C2211yescharacteristic, complemented
171#15688978C2211yescharacteristic, complemented
172C2×C47⋊#95C2211yescharacteristic, complemented
173C2×C47⋊#95C2211yescharacteristic, complemented
174C2×#121×C47C2211yescharacteristic
175C2×#120×C47C2211yescharacteristic
176C2×#120×C47C2211yescharacteristic, complemented
177C22×C22⋊C4×C47C2211yescharacteristic, complemented
178C47×#397C2211yescharacteristic, complemented
179C47×#397C2211yescharacteristic, complemented
180C47×#394C2211yescharacteristic, complemented
181C47×#394C2211yescharacteristic, complemented
182C47×#394C2211yescharacteristic, complemented
183C47×#394C2211yescharacteristic, complemented
184C47×#392C2211yescharacteristic, complemented
185C47×#392C2211yescharacteristic, complemented
186C47×#386C2211yescharacteristic
187C47×#386C2211yescharacteristic, complemented
188C47×#380C2211yescharacteristic, complemented
189C24×D47C2311yescharacteristic
190C24×D47C2311yescharacteristic
191C2×#10625352—24no—
192C2×#10625352—42no—
193C2×#10625352—42no—
194C22×Dic94C2311yescharacteristic
195C22×D188C2311yescharacteristic
196C22×D188C2311yescharacteristic
197C22×D188C2311yescharacteristic
198C22×D188C2311yescharacteristic
199C22×C22⋊D47—42no—
200C22×C22⋊D47—42no—
201C22×C22⋊D47D418yescomplemented
202C22×C22⋊D47C2311yescharacteristic
203C22×C22⋊D47C2311yescharacteristic
204C22×C22⋊D47C2311yescharacteristic
205C22×C22⋊D47C2311yescharacteristic
206C22×C22⋊D47C2311yescharacteristic
207C22×C22⋊D47C2311yescharacteristic
208C22×C22⋊D47C2311yescharacteristic
209C22×C22⋊D47C2311yescharacteristic
210C22×C22⋊D47C2311yescharacteristic
211C22×C22⋊D47C2311yescharacteristic
212C22×C22⋊D47C2311yescharacteristic
213C22×C22⋊D47C2311yescharacteristic
214C22×C22⋊D47C2311yescharacteristic
215C22×C22⋊D47C2311yescharacteristic
216C22×C22⋊D47C2311yescharacteristic
217C22×C22⋊D47C2311yescharacteristic
218C2×D4×D47—24no—
219C2×D4×D47—42no—
220C2×D4×D47—42no—
221C23×Dic47—42no—
222C23×Dic47—42no—
223C23×Dic47—42no—
224C23×Dic47C2311yescharacteristic
225C23×Dic47C2311yescharacteristic
226C23×Dic47C2311yescharacteristic
227C23×Dic47C2311yescharacteristic
228C23×Dic47C2311yescharacteristic
229C23×Dic47C2311yescharacteristic
230C23×Dic47C2311yescharacteristic
231C23×Dic47C2311yescharacteristic
232C22×C4×D47C2311yescharacteristic
233C22×C4×D47C2311yescharacteristic
234C22×C4×D47C2311yescharacteristic
235C22×C4×D47C2311yescharacteristic
236#13094020—24no—
237#13094020—24no—
238#13094010—24no—
239#13094010—24no—
240#13094009—42no—
241#13094008—24no—
242#13094006—24no—
243#13094006—24no—
244#13094006—42no—
245#13094005—24no—
246#13093998—42no—
247#13093997—24no—
248#13093997—24no—
249#13093997—24no—
250#13093997—24no—
251#13093996—24no—
252#13093996—24no—
253#13093996—42no—
254#13093996—42no—
255#13093996—42no—
256#13093996—42no—
257#13093996—42no—
258#13093996—42no—
259#13093995—24no—
260#13093995—24no—
261#13093994—24no—
262#13093994—42no—
263#13093993—24no—
264#13093993—24no—
265#13093992—24no—
266#13093992—24no—
267#13093992—24no—
268#13093992—42no—
269#13093980—24no—
270C2×C4⋊Dic47C2311yescharacteristic
271C2×C4⋊Dic47C2311yescharacteristic
272C2×C4⋊Dic47C2311yescharacteristic
273C2×C4⋊Dic47C2311yescharacteristic
274C2×C4⋊Dic47C2311yescharacteristic
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×Dic47⋊C4C2311yescharacteristic
284C2×Dic47⋊C4C2311yescharacteristic
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×C22⋊Dic47C2311yescharacteristic
295C2×C22⋊Dic47C2311yescharacteristic
296C2×C22⋊Dic47C2311yescharacteristic
297C2×C22⋊Dic47C2311yescharacteristic
298C2×C22⋊Dic47C2311yescharacteristic
299C2×(C2×D47)⋊C4—42no—
300C2×(C2×D47)⋊C4—42no—
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
323C2×(C2×D47)⋊C4C2311yescharacteristic
324C2×(C2×D47)⋊C4C2311yescharacteristic
325C2×(C2×D47)⋊C4C2311yescharacteristic
326C2×(C2×D47)⋊C4C2311yescharacteristic
327C2×(C2×D47)⋊C4C2311yescharacteristic
328C2×(C2×D47)⋊C4C2311yescharacteristic
329C22⋊C4×D47—24no—
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×D4×C47C2311yescharacteristic
360C22×D4×C47C2311yescharacteristic
361C22×D4×C47C2311yescharacteristic
362C22×D4×C47C2311yescharacteristic
363C22×D4×C47C2311yescharacteristic
364C22×D4×C47C2311yescharacteristic
365C22×D4×C47C2311yescharacteristic
366C23×C4×C47C2311yescharacteristic
367C23×C4×C47C2311yescharacteristic
368#121×C47—42no—
369#120×C47—24no—
370#120×C47—24no—
371C2×C4⋊C4×C47C2311yescharacteristic
372C2×C4⋊C4×C47C2311yescharacteristic
373C2×C4⋊C4×C47C2311yescharacteristic
374C2×C22⋊C4×C47—42no—
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×C22⋊C4×C47C2311yescharacteristic
390C2×C22⋊C4×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—41no—
400C24×C47—41no—
401C24×C47—41no—
402C24×C47—41no—
403C24×C47C2×D414yes—
404C24×C47C2411yescharacteristic
405C24×C47C2411yescharacteristic
406C24×C47C2411yescharacteristic
407C24×C47C2411yescharacteristic
408C24×C47C2411yescharacteristic
409C23×D47—22no—
410C23×D47—22no—
411C23×D47—22no—
412C23×D47—41no—
413C23×D47—41no—
414C23×D47—41no—
415C23×D47—41no—
416C23×D47—41no—
417C23×D47—41no—
418C23×D47—41no—
419C23×D47—41no—
420C23×D47—41no—
421C23×D47—41no—
422C23×D47C2×D414yes—
423C23×D47C2411yescharacteristic
424C23×D47C2411yescharacteristic
425C23×D47C2411yescharacteristic
426C23×D47C2411yescharacteristic
427C2×D4×C47—22no—
428C2×D4×C47—22no—
429C2×D4×C47—22no—
430C2×D4×C47—22no—
431C2×D4×C47—22no—
432C2×D4×C47—22no—
433C2×D4×C47—22no—
434C2×D4×C47—22no—
435C2×D4×C47—22no—
436C2×D4×C47—22no—
437C2×D4×C47—41no—
438C2×D4×C47—41no—
439C2×D4×C47—41no—
440C2×D4×C47—41no—
441C2×D4×C47—41no—
442C2×D4×C47—41no—
443C2×D4×C47—41no—
444C2×D4×C47—41no—
445C2×D4×C47—41no—
446C2×D4×C47—41no—
447C2×D4×C47—41no—
448C22×C4×C47—22no—
449C22×C4×C47—22no—
450C22×C4×C47—41no—
451C22×C4×C47—41no—
452C22×C4×C47—41no—
453C22×C4×C47—41no—
454C22×C4×C47C2411yescharacteristic
455C22×C4×C47C2411yescharacteristic
456C22×C4×C47C2411yescharacteristic
457C22×C4×C47C2411yescharacteristic
458C22×C4×C47C2411yescharacteristic
459C22×C4×C47C2411yescharacteristic
460C22×C4×C47C2411yescharacteristic
461C22×C4×C47C2411yescharacteristic
462C22×C4×C47C2411yescharacteristic
463C22×C4×C47C2411yescharacteristic
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—22no—
479C2×C22⋊D47—22no—
480C2×C22⋊D47—41no—
481C2×C22⋊D47—41no—
482C2×C22⋊D47—416no—
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⋊D47—41no—
491C2×C22⋊D47—41no—
492C2×C22⋊D47—41no—
493C2×C22⋊D47—41no—
494C2×C22⋊D47—41no—
495C2×C22⋊D47—41no—
496C2×C22⋊D47—41no—
497C2×C22⋊D47—41no—
498C2×C22⋊D47—41no—
499C2×C22⋊D47—41no—
500C2×C22⋊D47—41no—
501C2×C22⋊D47—41no—
502C2×C22⋊D47—41no—
503C2×C22⋊D47—41no—
504C2×C22⋊D47—41no—
505C2×C22⋊D47—41no—
506C2×C22⋊D47—41no—
507C2×C22⋊D47—41no—
508C2×C22⋊D47—41no—
509C2×C22⋊D47C2×D414yes—
510C2×C22⋊D47C2×D414yes—
511C2×C22⋊D47C2×D414yes—
512C2×C22⋊D47C2×D414yes—
513C22×Dic47—22no—
514C22×Dic47—22no—
515C22×Dic47—22no—
516C22×Dic47—22no—
517C22×Dic47—22no—
518C22×Dic47—22no—
519C22×Dic47—22no—
520C22×Dic47—22no—
521C22×Dic47—22no—
522C22×Dic47—22no—
523C22×Dic47—22no—
524C22×Dic47—41no—
525C22×Dic47—41no—
526C22×Dic47—41no—
527C22×Dic47—41no—
528C22×Dic47—41no—
529C22×Dic47—41no—
530C22×Dic47—41no—
531C22×Dic47—41no—
532C22×Dic47—41no—
533C22×Dic47—41no—
534C22×Dic47—41no—
535C22×Dic47—41no—
536C22×Dic47—416no—
537C22×Dic47C2×D414yes—
538C22×Dic47C2411yescharacteristic
539C22×Dic47C2411yescharacteristic
540C22×Dic47C2411yescharacteristic
541C22×Dic47C2411yescharacteristic
542C22×Dic47C2411yescharacteristic
543C22×Dic47C2411yescharacteristic
544C22×Dic47C2411yescharacteristic
545C22×Dic47C2411yescharacteristic
546C22×Dic47C2411yescharacteristic
547C22×Dic47C2411yescharacteristic
548C22×Dic47C2411yescharacteristic
549C22×Dic47C2411yescharacteristic
550#10625352—416no—
551D4×D47—416no—
552C2×D188—22no—
553C2×D188—22no—
554C2×D188—22no—
555C2×D188—41no—
556C2×D188—41no—
557C2×D188—41no—
558C2×D188—41no—
559C2×D188—41no—
560C2×D188—41no—
561C2×D188—41no—
562C2×D188—41no—
563C2×D188—41no—
564C2×C4×D47—22no—
565C2×C4×D47—22no—
566C2×C4×D47—22no—
567C2×C4×D47—22no—
568C2×C4×D47—41no—
569C2×C4×D47—41no—
570C2×C4×D47—41no—
571C2×C4×D47—41no—
572C2×C4×D47—41no—
573C2×C4×D47—41no—
574C2×C4×D47—41no—
575C2×C4×D47—41no—
576C2×Dic94—22no—
577C2×Dic94—41no—
578C2×Dic94—41no—
579C4⋊C4×C47—41no—
580C4⋊C4×C47—41no—
581C4⋊C4×C47—41no—
582C22⋊C4×C47—22no—
583C22⋊C4×C47—22no—
584C22⋊C4×C47—22no—
585C22⋊C4×C47—22no—
586C22⋊C4×C47—22no—
587C22⋊C4×C47—22no—
588C22⋊C4×C47—41no—
589C22⋊C4×C47—41no—
590C22⋊C4×C47—41no—
591C22⋊C4×C47—41no—
592C22⋊C4×C47—41no—
593C22⋊C4×C47—41no—
594C22⋊C4×C47—41no—
595C22⋊C4×C47—41no—
596C22⋊C4×C47—41no—
597C22⋊C4×C47—41no—
598C22⋊Dic47—22no—
599C22⋊Dic47—22no—
600C22⋊Dic47—22no—
601C22⋊Dic47—22no—
602C22⋊Dic47—22no—
603C22⋊Dic47—22no—
604C22⋊Dic47—22no—
605C22⋊Dic47—22no—
606C22⋊Dic47—22no—
607C22⋊Dic47—22no—
608C22⋊Dic47—41no—
609C22⋊Dic47—41no—
610C22⋊Dic47—41no—
611C22⋊Dic47—41no—
612(C2×D47)⋊C4—22no—
613(C2×D47)⋊C4—22no—
614(C2×D47)⋊C4—22no—
615(C2×D47)⋊C4—22no—
616(C2×D47)⋊C4—22no—
617(C2×D47)⋊C4—22no—
618(C2×D47)⋊C4—22no—
619(C2×D47)⋊C4—22no—
620(C2×D47)⋊C4—22no—
621(C2×D47)⋊C4—22no—
622(C2×D47)⋊C4—22no—
623(C2×D47)⋊C4—22no—
624(C2×D47)⋊C4—22no—
625(C2×D47)⋊C4—22no—
626(C2×D47)⋊C4—41no—
627(C2×D47)⋊C4—41no—
628(C2×D47)⋊C4—41no—
629(C2×D47)⋊C4—41no—
630(C2×D47)⋊C4—41no—
631(C2×D47)⋊C4—41no—
632(C2×D47)⋊C4—41no—
633(C2×D47)⋊C4—41no—
634(C2×D47)⋊C4—41no—
635(C2×D47)⋊C4—41no—
636(C2×D47)⋊C4—41no—
637(C2×D47)⋊C4—41no—
638(C2×D47)⋊C4—41no—
639(C2×D47)⋊C4—41no—
640C4⋊Dic47—22no—
641C4⋊Dic47—22no—
642C4⋊Dic47—41no—
643C4⋊Dic47—41no—
644C4⋊Dic47—41no—
645Dic47⋊C4—22no—
646Dic47⋊C4—22no—
647Dic47⋊C4—22no—
648Dic47⋊C4—22no—
649Dic47⋊C4—22no—
650Dic47⋊C4—22no—
651Dic47⋊C4—41no—
652Dic47⋊C4—41no—
653Dic47⋊C4—41no—
654Dic47⋊C4—41no—
655C4×Dic47—22no—
656C4×Dic47—22no—
657C23×C47—21no—
658C23×C47—21no—
659C23×C47—21no—
660C23×C47—21no—
661C23×C47—28no—
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—21no—
672C23×C47—21no—
673C23×C47—21no—
674C23×C47—21no—
675C23×C47—21no—
676C23×C47—21no—
677C23×C47—21no—
678C23×C47—21no—
679C23×C47—21no—
680C23×C47—21no—
681C23×C47—21no—
682C23×C47—21no—
683C23×C47—21no—
684C23×C47—21no—
685C23×C47—21no—
686C23×C47—21no—
687C23×C47—21no—
688C23×C47—44no—
689C23×C47—44no—
690C23×C47—44no—
691C23×C47—44no—
692C23×C47—44no—
693C23×C47—44no—
694C23×C47C22×D412yes—
695C23×C47C22×D412yes—
696C23×C47C22×D412yes—
697C23×C47H(5,𝔽2)12yes—
698C23×C47H(5,𝔽2)12yes—
699C23×C47C2511yescharacteristic
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—21no—
710C22×D47—21no—
711C22×D47—21no—
712C22×D47—28no—
713C22×D47—21no—
714C22×D47—21no—
715C22×D47—21no—
716C22×D47—21no—
717C22×D47—21no—
718C22×D47—21no—
719C22×D47—21no—
720C22×D47—21no—
721C22×D47—21no—
722C22×D47—21no—
723C22×D47—21no—
724C22×D47—21no—
725C22×D47—21no—
726C22×D47—21no—
727C22×D47—44no—
728C22×D47—44no—
729C22×D47—44no—
730C22×D47—82no—
731C22×D47—82no—
732C22×D47—82no—
733C22×D47—82no—
734C22×D47—82no—
735C22×D47—82no—
736C22×D47—82no—
737C22×D47—82no—
738C22×D47—82no—
739C22×D47—82no—
740C22×D47C22×D412yes—
741C22×D47C22×D412yes—
742D4×C47—44no—
743D4×C47—44no—
744D4×C47—82no—
745D4×C47—82no—
746D4×C47—82no—
747D4×C47—82no—
748D4×C47—82no—
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—21no—
761C2×C4×C47—21no—
762C2×C4×C47—21no—
763C2×C4×C47—21no—
764C2×C4×C47—21no—
765C2×C4×C47—21no—
766C2×C4×C47—21no—
767C2×C4×C47—21no—
768C2×C4×C47—21no—
769C2×C4×C47—21no—
770C2×C4×C47—21no—
771C2×C4×C47—21no—
772C2×C4×C47—21no—
773C2×C4×C47—21no—
774C2×C4×C47—21no—
775C2×C4×C47—21no—
776C2×C4×C47—21no—
777C2×C4×C47—21no—
778C2×C4×C47—21no—
779C2×C4×C47—82no—
780C2×C4×C47—82no—
781C22⋊D47—44no—
782C22⋊D47—44no—
783C22⋊D47—44no—
784C22⋊D47—44no—
785C22⋊D47—44no—
786C22⋊D47—44no—
787C22⋊D47—44no—
788C22⋊D47—44no—
789C22⋊D47—82no—
790C22⋊D47—82no—
791C22⋊D47—82no—
792C22⋊D47—82no—
793C22⋊D47—82no—
794C22⋊D47—82no—
795C22⋊D47—82no—
796C22⋊D47—82no—
797C2×Dic47—28no—
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—21no—
810C2×Dic47—21no—
811C2×Dic47—21no—
812C2×Dic47—21no—
813C2×Dic47—21no—
814C2×Dic47—21no—
815C2×Dic47—21no—
816C2×Dic47—21no—
817C2×Dic47—21no—
818C2×Dic47—21no—
819C2×Dic47—21no—
820C2×Dic47—21no—
821C2×Dic47—21no—
822C2×Dic47—21no—
823C2×Dic47—21no—
824C2×Dic47—21no—
825C2×Dic47—21no—
826C2×Dic47—21no—
827C2×Dic47—21no—
828C2×Dic47—21no—
829C2×Dic47—21no—
830C2×Dic47—44no—
831C2×Dic47—44no—
832C2×Dic47—44no—
833C2×Dic47—44no—
834C2×Dic47—44no—
835C2×Dic47—44no—
836C2×Dic47—44no—
837C2×Dic47C22×D412yes—
838C2×Dic47C22×D412yes—
839C2×Dic47H(5,𝔽2)12yes—
840C2×Dic47H(5,𝔽2)12yes—
841D188—44no—
842D188—82no—
843D188—82no—
844D188—82no—
845C4×D47—44no—
846C4×D47—44no—
847C4×D47—82no—
848C4×D47—82no—
849Dic94—44no—
850#36737—471nomaximal, Sylow
851C22×C47—22no—
852C22×C47—22no—
853C22×C47—22no—
854C22×C47—22no—
855C22×C47—22no—
856C22×C47—22no—
857C22×C47—22no—
858C22×C47—22no—
859C22×C47—22no—
860C22×C47—22no—
861C22×C47—22no—
862C22×C47—22no—
863C22×C47—416no—
864C22×C47—41no—
865C22×C47—41no—
866C22×C47—41no—
867C22×C47—41no—
868C22×C47—41no—
869C22×C47—41no—
870C22×C47—41no—
871C22×C47—41no—
872C22×C47—41no—
873C22×C47—41no—
874C22×C47—41no—
875C22×C47—41no—
876C22×C47—41no—
877C22×C47—41no—
878C22×C47—41no—
879C22×C47—41no—
880C22×C47—41no—
881C22×C47—41no—
882C22×C47—41no—
883C22×C47—41no—
884C22×C47—41no—
885C22×C47—41no—
886C22×C47#53414yes—
887C22×C47C23×D411yescharacteristic
888C22×C47C2×H(5,𝔽2)11yescharacteristic
889C22×C47C2×H(5,𝔽2)11yescharacteristic
890C22×C47C2×H(5,𝔽2)11yescharacteristic
891C22×C47C2×H(5,𝔽2)11yescharacteristic
892C22×C47#58511yescharacteristic
893C22×C47#58511yescharacteristic
894C2×D47—22no—
895C2×D47—22no—
896C2×D47—22no—
897C2×D47—22no—
898C2×D47—22no—
899C2×D47—22no—
900C2×D47—41no—
901C2×D47—41no—
902C2×D47—41no—
903C2×D47—41no—
904C2×D47—41no—
905C2×D47—41no—
906C2×D47—41no—
907C2×D47—41no—
908C2×D47—41no—
909C2×D47—41no—
910C2×D47—41no—
911C2×D47—41no—
912C2×D47—41no—
913C2×D47—41no—
914C2×D47—41no—
915C2×D47—41no—
916C2×D47—41no—
917C2×D47—41no—
918C2×D47—41no—
919C2×D47—41no—
920C2×D47—41no—
921C2×D47—41no—
922C2×D47—88no—
923C2×D47—88no—
924C4×C47—41no—
925C4×C47—41no—
926C4×C47—41no—
927C4×C47—41no—
928C4×C47—41no—
929C4×C47—41no—
930C4×C47—41no—
931C4×C47—41no—
932C4×C47—41no—
933C4×C47—41no—
934Dic47—22no—
935Dic47—22no—
936Dic47—22no—
937Dic47—22no—
938Dic47—41no—
939Dic47—41no—
940Dic47—41no—
941Dic47—41no—
942Dic47—41no—
943Dic47—41no—
944Dic47—41no—
945Dic47—41no—
946C2×#535—471no—
947C2×#534—471no—
948#2847—471no—
949#2847—471no—
950#2717—471no—
951#2709—471no—
952#2708—471no—
953#2708—471no—
954#2688—471no—
955#2688—471no—
956#2686—471no—
957#2686—471no—
958#2684—471no—
959#2673—471no—
960#2673—471no—
961#2671—471no—
962#2671—471no—
963#2669—471no—
964#2668—471no—
965#2668—471no—
966#2617—471no—
967#2617D4711yescharacteristic, complemented
968#2498—471no—
969#2498—471no—
970#2430—471no—
971#2430—471no—
972#2412—471no—
973#2412—471no—
974#2410—471no—
975#2410—471no—
976C2×#386—471no—
977C2×C47—24no—
978C2×C47—42no—
979C2×C47—42no—
980C2×C47—81no—
981C2×C47—81no—
982C2×C47C2×#53411yescharacteristic
983C2×C47#349611yescharacteristic
984C2×C47#349611yescharacteristic
985C2×C47#353211yescharacteristic
986C2×C47#353311yescharacteristic
987C2×C47#354211yescharacteristic
988C2×C47#354211yescharacteristic
989D47—42no—
990D47—42no—
991D47—81no—
992D47—81no—
993C22×#41—471no—
994C23×D4—471no—
995C23×D4—471no—
996C24×C4—471no—
997#535—948no—
998#534—948no—
999C2×#127—471no—
1000C2×#127—471no—
1001C2×#124—471no—
1002C2×#124—471no—
1003C2×#123—471no—
1004C2×#123—471no—
1005C2×#123—471no—
1006C2×#123—471no—
1007C2×#123—471no—
1008C2×#123—471no—
1009C2×#121—471no—
1010C2×#121—471no—
1011C2×#121—471no—
1012C2×#121—471no—
1013C2×#121—471no—
1014C2×#121—471no—
1015C2×#121—471no—
1016C2×#121—471no—
1017C2×#121—471no—
1018C2×#121—471no—
1019C2×#121—471no—
1020C2×#121—471no—
1021C2×#121—471no—
1022C2×#121—471no—
1023C2×#121—471no—
1024C2×#121C2×D4711yescharacteristic
1025C2×#120—471no—
1026C2×#120—471no—
1027C2×#120—471no—
1028C2×#120—471no—
1029C2×#120—471no—
1030C2×#120—471no—
1031C2×#120—471no—
1032C2×#120—471no—
1033C2×#120C2×D4711yescharacteristic
1034C2×#120C2×D4711yescharacteristic, complemented
1035C2×#117—471no—
1036C22×C22⋊C4—471no—
1037C22×C22⋊C4—471no—
1038C22×C22⋊C4—471no—
1039C22×C22⋊C4C2×D4711yescharacteristic, complemented
1040#400—471no—
1041#400—471no—
1042#399—471no—
1043#399—471no—
1044#398—471no—
1045#398—471no—
1046#397—471no—
1047#397—471no—
1048#397—471no—
1049#397—471no—
1050#397—471no—
1051#397—471no—
1052#397—471no—
1053#397—471no—
1054#397C2×D4711yescharacteristic, complemented
1055#397C2×D4711yescharacteristic, complemented
1056#395—471no—
1057#395—471no—
1058#394—471no—
1059#394—471no—
1060#394—471no—
1061#394—471no—
1062#394—471no—
1063#394—471no—
1064#394—471no—
1065#394—471no—
1066#394—471no—
1067#394—471no—
1068#394—471no—
1069#394—471no—
1070#394—471no—
1071#394—471no—
1072#394C2×D4711yescharacteristic, complemented
1073#394C2×D4711yescharacteristic, complemented
1074#394C2×D4711yescharacteristic, complemented
1075#394C2×D4711yescharacteristic, complemented
1076#393—471no—
1077#393—471no—
1078#392—471no—
1079#392—471no—
1080#392—471no—
1081#392—471no—
1082#392—471no—
1083#392—471no—
1084#392—471no—
1085#392—471no—
1086#392C2×D4711yescharacteristic, complemented
1087#392C2×D4711yescharacteristic, complemented
1088#388—471no—
1089#388—471no—
1090#388—471no—
1091#388—471no—
1092#387—471no—
1093#387—471no—
1094#387—471no—
1095#387—471no—
1096#386—471no—
1097#386—471no—
1098#386—471no—
1099#386—471no—
1100#386—471no—
1101#386—471no—
1102#386—471no—
1103#386—471no—
1104#386—471no—
1105#386—471no—
1106#386—471no—
1107#386—471no—
1108#386—471no—
1109#386—471no—
1110#386—471no—
1111#386—471no—
1112#386—471no—
1113#386—471no—
1114#386—471no—
1115#386—471no—
1116#386—471no—
1117#386—471no—
1118#386—471no—
1119#386—471no—
1120#386—471no—
1121#386—471no—
1122#386—471no—
1123#386—471no—
1124#386—471no—
1125#386—471no—
1126#386C2×D4711yescharacteristic
1127#386C2×D4711yescharacteristic, complemented
1128#385—471no—
1129#385—471no—
1130#385—471no—
1131#385—471no—
1132#385—471no—
1133#385—471no—
1134#385—471no—
1135#385—471no—
1136#381—471no—
1137#381—471no—
1138#380—471no—
1139#380—471no—
1140#380—471no—
1141#380—471no—
1142#380—471no—
1143#380—471no—
1144#380—471no—
1145#380C2×D4711yescharacteristic, complemented
1146#379—471no—
1147#379—471no—
1148C2×#95—471no—
1149C2×#95—471no—
1150C47#3673711yescharacteristic, complemented, Sylow
1151C25—471no—
1152C25—471no—
1153C25C22×D4711yescharacteristic
1154C2×#41—944no—
1155C2×#41—1882no—
1156C2×#41—1882no—
1157C22×Q8—471no—
1158C22×D4—478no—
1159C22×D4—471no—
1160C22×D4—471no—
1161C22×D4—471no—
1162C22×D4—471no—
1163C22×D4—471no—
1164C22×D4—471no—
1165C22×D4—471no—
1166C22×D4—471no—
1167C22×D4—471no—
1168C22×D4—471no—
1169C22×D4—471no—
1170C22×D4—471no—
1171C22×D4—471no—
1172C22×D4—471no—
1173C22×D4—471no—
1174C22×D4—471no—
1175C22×D4—471no—
1176C22×D4—471no—
1177C22×D4—471no—
1178C22×D4—471no—
1179C22×D4—944no—
1180C22×D4—1882no—
1181C22×D4—1882no—
1182C22×D4—1882no—
1183C22×D4—1882no—
1184C22×D4C22×D4711yescharacteristic
1185C22×D4C22×D4711yescharacteristic
1186C22×D4C22×D4711yescharacteristic
1187C22×D4C22×D4711yescharacteristic
1188C22×D4C22×D4711yescharacteristic
1189C22×D4C22×D4711yescharacteristic
1190C22×D4C22×D4711yescharacteristic
1191C23×C4—471no—
1192C23×C4—471no—
1193C23×C4—471no—
1194C23×C4—471no—
1195C23×C4—471no—
1196C23×C4—471no—
1197C23×C4—471no—
1198C23×C4—471no—
1199C23×C4—471no—
1200C23×C4—471no—
1201C23×C4—471no—
1202C23×C4—471no—
1203C23×C4—1882no—
1204C23×C4—1882no—
1205C23×C4—1882no—
1206C23×C4C22×D4711yescharacteristic
1207C23×C4C22×D4711yescharacteristic
1208#127—944no—
1209#127—944no—
1210#124—944no—
1211#124—944no—
1212#123—944no—
1213#123—944no—
1214#123—944no—
1215#123—944no—
1216#123—1882no—
1217#123—1882no—
1218#121—42no—
1219#121—944no—
1220#121—944no—
1221#121—944no—
1222#121—944no—
1223#121—944no—
1224#121—944no—
1225#121—944no—
1226#121—944no—
1227#121—1882no—
1228#121—1882no—
1229#121—1882no—
1230#121—1882no—
1231#121—1882no—
1232#121—1882no—
1233#121—1882no—
1234#120—24no—
1235#120—24no—
1236#120—944no—
1237#120—944no—
1238#120—944no—
1239#120—944no—
1240#120—944no—
1241#120—944no—
1242#120—1882no—
1243#120—1882no—
1244#117—944no—
1245C2×C4⋊C4—471no—
1246C2×C4⋊C4—471no—
1247C2×C4⋊C4—471no—
1248C2×C4⋊C4—471no—
1249C2×C4⋊C4—471no—
1250C2×C4⋊C4—471no—
1251C2×C4⋊C4—471no—
1252C2×C4⋊C4—471no—
1253C2×C4⋊C4—471no—
1254C2×C4⋊C4—471no—
1255C2×C4⋊C4—471no—
1256C2×C4⋊C4—471no—
1257C2×C4⋊C4—471no—
1258C2×C4⋊C4—471no—
1259C2×C4⋊C4—471no—
1260C2×C4⋊C4C22×D4711yescharacteristic
1261C2×C4⋊C4C22×D4711yescharacteristic
1262C2×C4⋊C4C22×D4711yescharacteristic
1263C2×C22⋊C4—42no—
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—471no—
1273C2×C22⋊C4—471no—
1274C2×C22⋊C4—471no—
1275C2×C22⋊C4—471no—
1276C2×C22⋊C4—471no—
1277C2×C22⋊C4—471no—
1278C2×C22⋊C4—471no—
1279C2×C22⋊C4—471no—
1280C2×C22⋊C4—471no—
1281C2×C22⋊C4—471no—
1282C2×C22⋊C4—471no—
1283C2×C22⋊C4—471no—
1284C2×C22⋊C4—471no—
1285C2×C22⋊C4—471no—
1286C2×C22⋊C4—471no—
1287C2×C22⋊C4—471no—
1288C2×C22⋊C4—471no—
1289C2×C22⋊C4—471no—
1290C2×C22⋊C4—471no—
1291C2×C22⋊C4—471no—
1292C2×C22⋊C4—471no—
1293C2×C22⋊C4—471no—
1294C2×C22⋊C4—471no—
1295C2×C22⋊C4—471no—
1296C2×C22⋊C4—471no—
1297C2×C22⋊C4—471no—
1298C2×C22⋊C4—471no—
1299C2×C22⋊C4—471no—
1300C2×C22⋊C4—471no—
1301C2×C22⋊C4—471no—
1302C2×C22⋊C4—471no—
1303C2×C22⋊C4—471no—
1304C2×C22⋊C4—471no—
1305C2×C22⋊C4—471no—
1306C2×C22⋊C4—944no—
1307C2×C22⋊C4—1882no—
1308C2×C22⋊C4—1882no—
1309C2×C22⋊C4C22×D4711yescharacteristic
1310C2×C22⋊C4C22×D4711yescharacteristic
1311C2×C22⋊C4C22×D4711yescharacteristic
1312C2×C22⋊C4C22×D4711yescharacteristic
1313C2×C22⋊C4C22×D4711yescharacteristic
1314C2×C22⋊C4C22×D4711yescharacteristic
1315C2×C22⋊C4C22×D4711yescharacteristic
1316C2×C22⋊C4C22×D4711yescharacteristic
1317C2×C22⋊C4C22×D4711yescharacteristic
1318C2×C22⋊C4C22×D4711yescharacteristic
1319C2×C22⋊C4C22×D4711yescharacteristic
1320C2×C22⋊C4C22×D4711yescharacteristic
1321C2×C22⋊C4C22×D4711yescharacteristic
1322C2×C22⋊C4C22×D4711yescharacteristic
1323C2×C22⋊C4C22×D4711yescharacteristic
1324C2×C22⋊C4C22×D4711yescharacteristic
1325C2×C42—471no—
1326C2×C42—471no—
1327#95—471no—
1328#95—471no—
1329#95—471no—
1330#95—471no—
1331#95—471no—
1332#95—471no—
1333#95—471no—
1334#95—471no—
1335#95—471no—
1336#95—471no—
1337#95—471no—
1338#95—471no—
1339#95—471no—
1340#95—471no—
1341#95—471no—
1342#95—471no—
1343#95—471no—
1344#95—471no—
1345#95—471no—
1346#95—471no—
1347#95—471no—
1348#95—471no—
1349#95—471no—
1350#95—471no—
1351#95—471no—
1352#95—471no—
1353#95C22×D4711yescharacteristic
1354#95C22×D4711yescharacteristic
1355#95C22×D4711yescharacteristic
1356#95C22×D4711yescharacteristic
1357#95C22×D4711yescharacteristic
1358#95C22×D4711yescharacteristic
1359C24—22no—
1360C24—22no—
1361C24—41no—
1362C24—41no—
1363C24—41no—
1364C24—41no—
1365C24—471no—
1366C24—471no—
1367C24—474no—
1368C24—471no—
1369C24—471no—
1370C24—942no—
1371C24—942no—
1372C24—942no—
1373C24—1881no—
1374C24—1881no—
1375C24—1881no—
1376C24—1881no—
1377C24—1881no—
1378C24—1881no—
1379C24—1881no—
1380C24—1881no—
1381C24—1881no—
1382C24—1881no—
1383C24D4×D4714yes—
1384C24C23×D4711yescharacteristic
1385C24C23×D4711yescharacteristic
1386C24C23×D4711yescharacteristic
1387C24C23×D4711yescharacteristic
1388C24C23×D4711yescharacteristic
1389#41—18816no—
1390C2×Q8—942no—
1391C2×Q8—1881no—
1392C2×Q8—1881no—
1393C2×D4—22no—
1394C2×D4—22no—
1395C2×D4—22no—
1396C2×D4—22no—
1397C2×D4—22no—
1398C2×D4—22no—
1399C2×D4—22no—
1400C2×D4—22no—
1401C2×D4—22no—
1402C2×D4—22no—
1403C2×D4—41no—
1404C2×D4—41no—
1405C2×D4—41no—
1406C2×D4—41no—
1407C2×D4—41no—
1408C2×D4—41no—
1409C2×D4—41no—
1410C2×D4—41no—
1411C2×D4—41no—
1412C2×D4—41no—
1413C2×D4—41no—
1414C2×D4—474no—
1415C2×D4—474no—
1416C2×D4—474no—
1417C2×D4—474no—
1418C2×D4—942no—
1419C2×D4—942no—
1420C2×D4—942no—
1421C2×D4—942no—
1422C2×D4—942no—
1423C2×D4—942no—
1424C2×D4—942no—
1425C2×D4—942no—
1426C2×D4—942no—
1427C2×D4—942no—
1428C2×D4—942no—
1429C2×D4—942no—
1430C2×D4—942no—
1431C2×D4—942no—
1432C2×D4—942no—
1433C2×D4—942no—
1434C2×D4—942no—
1435C2×D4—942no—
1436C2×D4—942no—
1437C2×D4—1881no—
1438C2×D4—1881no—
1439C2×D4—1881no—
1440C2×D4—1881no—
1441C2×D4—1881no—
1442C2×D4—1881no—
1443C2×D4—1881no—
1444C2×D4—1881no—
1445C2×D4—1881no—
1446C2×D4—1881no—
1447C2×D4—1881no—
1448C2×D4—1881no—
1449C2×D4—1881no—
1450C2×D4—1881no—
1451C2×D4—1881no—
1452C2×D4—1881no—
1453C2×D4—1881no—
1454C2×D4—1881no—
1455C2×D4—1881no—
1456C2×D4—1881no—
1457C2×D4—1881no—
1458C2×D4—1881no—
1459C2×D4—1881no—
1460C2×D4—1881no—
1461C2×D4—1881no—
1462C2×D4—18816no—
1463C2×D4—1881no—
1464C2×D4—1881no—
1465C2×D4—1881no—
1466C2×D4—1881no—
1467C2×D4—1881no—
1468C2×D4—1881no—
1469C2×D4—1881no—
1470C2×D4—1881no—
1471C2×D4—1881no—
1472C2×D4—1881no—
1473C2×D4—1881no—
1474C2×D4—1881no—
1475C2×D4—18816no—
1476C22×C4—22no—
1477C22×C4—22no—
1478C22×C4—41no—
1479C22×C4—41no—
1480C22×C4—41no—
1481C22×C4—41no—
1482C22×C4—474no—
1483C22×C4—471no—
1484C22×C4—471no—
1485C22×C4—471no—
1486C22×C4—471no—
1487C22×C4—471no—
1488C22×C4—471no—
1489C22×C4—471no—
1490C22×C4—471no—
1491C22×C4—471no—
1492C22×C4—471no—
1493C22×C4—471no—
1494C22×C4—471no—
1495C22×C4—942no—
1496C22×C4—942no—
1497C22×C4—942no—
1498C22×C4—942no—
1499C22×C4—942no—
1500C22×C4—942no—
1501C22×C4—942no—
1502C22×C4—942no—
1503C22×C4—942no—
1504C22×C4—942no—
1505C22×C4—942no—
1506C22×C4—942no—
1507C22×C4—942no—
1508C22×C4—942no—
1509C22×C4—942no—
1510C22×C4—1881no—
1511C22×C4—1881no—
1512C22×C4—1881no—
1513C22×C4—1881no—
1514C22×C4—1881no—
1515C22×C4—1881no—
1516C22×C4—1881no—
1517C22×C4—1881no—
1518C22×C4—1881no—
1519C22×C4—1881no—
1520C22×C4—1881no—
1521C22×C4—1881no—
1522C22×C4—1881no—
1523C22×C4—1881no—
1524C22×C4—1881no—
1525C22×C4—1881no—
1526C22×C4—1881no—
1527C22×C4—1881no—
1528C22×C4—1881no—
1529C22×C4—1881no—
1530C22×C4—18816no—
1531C22×C4C23×D4711yescharacteristic
1532C22×C4C23×D4711yescharacteristic
1533C22×C4C23×D4711yescharacteristic
1534C22×C4C23×D4711yescharacteristic
1535C22×C4C23×D4711yescharacteristic
1536C22×C4C23×D4711yescharacteristic
1537C22×C4C23×D4711yescharacteristic
1538C22×C4C23×D4711yescharacteristic
1539C22×C4C23×D4711yescharacteristic
1540C22×C4C23×D4711yescharacteristic
1541C4⋊C4—41no—
1542C4⋊C4—41no—
1543C4⋊C4—41no—
1544C4⋊C4—942no—
1545C4⋊C4—942no—
1546C4⋊C4—942no—
1547C4⋊C4—942no—
1548C4⋊C4—942no—
1549C4⋊C4—942no—
1550C4⋊C4—942no—
1551C4⋊C4—942no—
1552C4⋊C4—1881no—
1553C4⋊C4—1881no—
1554C4⋊C4—1881no—
1555C4⋊C4—1881no—
1556C4⋊C4—1881no—
1557C4⋊C4—1881no—
1558C4⋊C4—1881no—
1559C22⋊C4—22no—
1560C22⋊C4—22no—
1561C22⋊C4—22no—
1562C22⋊C4—22no—
1563C22⋊C4—22no—
1564C22⋊C4—22no—
1565C22⋊C4—41no—
1566C22⋊C4—41no—
1567C22⋊C4—41no—
1568C22⋊C4—41no—
1569C22⋊C4—41no—
1570C22⋊C4—41no—
1571C22⋊C4—41no—
1572C22⋊C4—41no—
1573C22⋊C4—41no—
1574C22⋊C4—41no—
1575C22⋊C4—942no—
1576C22⋊C4—942no—
1577C22⋊C4—942no—
1578C22⋊C4—942no—
1579C22⋊C4—942no—
1580C22⋊C4—942no—
1581C22⋊C4—942no—
1582C22⋊C4—942no—
1583C22⋊C4—942no—
1584C22⋊C4—942no—
1585C22⋊C4—942no—
1586C22⋊C4—942no—
1587C22⋊C4—942no—
1588C22⋊C4—942no—
1589C22⋊C4—942no—
1590C22⋊C4—942no—
1591C22⋊C4—942no—
1592C22⋊C4—942no—
1593C22⋊C4—942no—
1594C22⋊C4—942no—
1595C22⋊C4—942no—
1596C22⋊C4—942no—
1597C22⋊C4—942no—
1598C22⋊C4—942no—
1599C22⋊C4—1881no—
1600C22⋊C4—1881no—
1601C22⋊C4—1881no—
1602C22⋊C4—1881no—
1603C22⋊C4—1881no—
1604C22⋊C4—1881no—
1605C22⋊C4—1881no—
1606C22⋊C4—1881no—
1607C22⋊C4—1881no—
1608C22⋊C4—1881no—
1609C22⋊C4—1881no—
1610C22⋊C4—1881no—
1611C22⋊C4—1881no—
1612C22⋊C4—1881no—
1613C22⋊C4—1881no—
1614C22⋊C4—1881no—
1615C22⋊C4—1881no—
1616C22⋊C4—1881no—
1617C42—942no—
1618C42—942no—
1619C23—21no—
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—28no—
1624C23—21no—
1625C23—21no—
1626C23—21no—
1627C23—21no—
1628C23—21no—
1629C23—21no—
1630C23—21no—
1631C23—21no—
1632C23—21no—
1633C23—21no—
1634C23—21no—
1635C23—21no—
1636C23—21no—
1637C23—21no—
1638C23—21no—
1639C23—21no—
1640C23—21no—
1641C23—21no—
1642C23—21no—
1643C23—21no—
1644C23—21no—
1645C23—21no—
1646C23—21no—
1647C23—21no—
1648C23—21no—
1649C23—21no—
1650C23—44no—
1651C23—44no—
1652C23—44no—
1653C23—44no—
1654C23—44no—
1655C23—44no—
1656C23—472no—
1657C23—472no—
1658C23—948no—
1659C23—941no—
1660C23—941no—
1661C23—941no—
1662C23—941no—
1663C23—941no—
1664C23—941no—
1665C23—941no—
1666C23—941no—
1667C23—941no—
1668C23—941no—
1669C23—941no—
1670C23—941no—
1671C23—941no—
1672C23—941no—
1673C23—941no—
1674C23—941no—
1675C23—941no—
1676C23—941no—
1677C23—941no—
1678C23—941no—
1679C23—941no—
1680C23—941no—
1681C23—941no—
1682C23—941no—
1683C23—941no—
1684C23—941no—
1685C23—3762no—
1686C23—3762no—
1687C23—3762no—
1688C23—3762no—
1689C23—3762no—
1690C23—3762no—
1691C23—3762no—
1692C23—3762no—
1693C23—3762no—
1694C23—3762no—
1695C23—1884no—
1696C23—1884no—
1697C23—1884no—
1698C23C2×D4×D4712yes—
1699C23C2×D4×D4712yes—
1700C23C2×D4×D4712yes—
1701C23#1309406912yes—
1702C23#1309407012yes—
1703C23C24×D4711yescharacteristic
1704Q8—1884no—
1705D4—44no—
1706D4—44no—
1707D4—82no—
1708D4—82no—
1709D4—82no—
1710D4—82no—
1711D4—82no—
1712D4—3762no—
1713D4—3762no—
1714D4—3762no—
1715D4—3762no—
1716D4—3762no—
1717D4—3762no—
1718D4—3762no—
1719D4—3762no—
1720D4—3762no—
1721D4—3762no—
1722D4—3762no—
1723D4—1884no—
1724D4—1884no—
1725D4—1884no—
1726D4—1884no—
1727D4—1884no—
1728D4—1884no—
1729D4—1884no—
1730D4—1884no—
1731D4—1884no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—82no—
1763C2×C4—82no—
1764C2×C4—472no—
1765C2×C4—472no—
1766C2×C4—472no—
1767C2×C4—472no—
1768C2×C4—948no—
1769C2×C4—941no—
1770C2×C4—941no—
1771C2×C4—941no—
1772C2×C4—941no—
1773C2×C4—941no—
1774C2×C4—941no—
1775C2×C4—941no—
1776C2×C4—941no—
1777C2×C4—941no—
1778C2×C4—941no—
1779C2×C4—941no—
1780C2×C4—941no—
1781C2×C4—941no—
1782C2×C4—941no—
1783C2×C4—941no—
1784C2×C4—941no—
1785C2×C4—941no—
1786C2×C4—941no—
1787C2×C4—941no—
1788C2×C4—941no—
1789C2×C4—941no—
1790C2×C4—941no—
1791C2×C4—941no—
1792C2×C4—941no—
1793C2×C4—941no—
1794C2×C4—941no—
1795C2×C4—941no—
1796C2×C4—941no—
1797C2×C4—941no—
1798C2×C4—941no—
1799C2×C4—941no—
1800C2×C4—941no—
1801C2×C4—3762no—
1802C2×C4—3762no—
1803C2×C4—1884no—
1804C2×C4—1884no—
1805C2×C4—1884no—
1806C2×C4—1884no—
1807C2×C4—1884no—
1808C2×C4—1884no—
1809C2×C4—1884no—
1810C2×C4—1884no—
1811C2×C4—1884no—
1812C22—22no—
1813C22—22no—
1814C22—22no—
1815C22—22no—
1816C22—22no—
1817C22—22no—
1818C22—22no—
1819C22—22no—
1820C22—22no—
1821C22—22no—
1822C22—22no—
1823C22—22no—
1824C22—416no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—41no—
1830C22—41no—
1831C22—41no—
1832C22—41no—
1833C22—41no—
1834C22—41no—
1835C22—41no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—41no—
1843C22—41no—
1844C22—41no—
1845C22—41no—
1846C22—41no—
1847C22—942no—
1848C22—942no—
1849C22—942no—
1850C22—942no—
1851C22—942no—
1852C22—942no—
1853C22—3768no—
1854C22—3768no—
1855C22—1881no—
1856C22—1881no—
1857C22—1881no—
1858C22—1881no—
1859C22—1881no—
1860C22—1881no—
1861C22—1881no—
1862C22—1881no—
1863C22—1881no—
1864C22—1881no—
1865C22—1881no—
1866C22—1881no—
1867C22—1881no—
1868C22—1881no—
1869C22—1881no—
1870C22—1881no—
1871C22—1881no—
1872C22—1881no—
1873C22—1881no—
1874C22—1881no—
1875C22—1881no—
1876C22—1881no—
1877C22#1568968114yes—
1878C22C22×D4×D4711yescharacteristic
1879C22H(5,𝔽2)×D4711yescharacteristic
1880C22H(5,𝔽2)×D4711yescharacteristic
1881C22C2×#1309406911yescharacteristic
1882C22C2×#1309407011yescharacteristic
1883C22#1568995811yescharacteristic
1884C22#1568995811yescharacteristic
1885C4—41no—
1886C4—41no—
1887C4—41no—
1888C4—41no—
1889C4—41no—
1890C4—41no—
1891C4—41no—
1892C4—41no—
1893C4—41no—
1894C4—41no—
1895C4—942no—
1896C4—942no—
1897C4—942no—
1898C4—942no—
1899C4—1881no—
1900C4—1881no—
1901C4—1881no—
1902C4—1881no—
1903C4—1881no—
1904C4—1881no—
1905C4—1881no—
1906C4—1881no—
1907C2—24no—
1908C2—42no—
1909C2—42no—
1910C2—81no—
1911C2—81no—
1912C2—3761no—
1913C2—3761no—
1914C2—1882no—
1915C2—1882no—
1916C2C2×#1568968111yescharacteristic
1917C2#2025714911yescharacteristic
1918C2#2025714911yescharacteristic
1919C2#2025753911yescharacteristic
1920C2#2025755611yescharacteristic
1921C2#2025769111yescharacteristic
1922C2#2025769911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2617C2
hypercenter#2617D47
hypocenterC47#36737
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2617

Complements

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

NH ≅ G/Ntype
1. C2×#15689688C2semidirect
2. C2×#15689683C2semidirect
3. #20251668C2semidirect
4. #20251668C2semidirect
5. #20250222C2semidirect
6. #20250114C2semidirect
7. #20250105C2semidirect
8. #20250099C2semidirect
9. #20249823C2semidirect
10. #20249817C2semidirect
11. #20249793C2semidirect
12. #20249787C2semidirect
13. #20249763C2semidirect
14. #20249653C2semidirect
15. #20249647C2semidirect
16. #20249623C2semidirect
17. #20249617C2semidirect
18. #20249599C2semidirect
19. #20249595C2semidirect
20. #20249590C2semidirect
21. #20249122C2semidirect
22. #20247830C2semidirect
23. #20247828C2semidirect
24. #20246996C2semidirect
25. #20246994C2semidirect
26. #20246783C2semidirect
27. #20246781C2semidirect
28. #20246761C2semidirect
29. #20246759C2semidirect
30. C2×#15689000C2semidirect
31. C47×#2617C2semidirect
32. C22×#10625352C22semidirect
35. C24×Dic47C22semidirect
39. C2×#13094020C22semidirect
41. C2×#13094010C22semidirect
42. C2×#13094009C22semidirect
46. C2×#13094006C22semidirect
52. C2×#13093997C22semidirect
56. C2×#13093996C22semidirect
57. C2×#13093996C22semidirect
58. C2×#13093996C22semidirect
59. C2×#13093996C22semidirect
60. C2×#13093996C22semidirect
64. C2×#13093994C22semidirect
66. C2×#13093993C22semidirect
70. C2×#13093992C22semidirect
71. C2×#13093980C22semidirect
75. #15689065C22semidirect
76. #15689064C22semidirect
77. #15689059C22semidirect
78. #15689058C22semidirect
79. #15689057C22semidirect
80. #15689056C22semidirect
81. #15689052C22semidirect
82. #15689052C22semidirect
83. #15689052C22semidirect
84. #15689051C22semidirect
85. #15689050C22semidirect
86. #15689049C22semidirect
87. #15689048C22semidirect
88. #15689048C22semidirect
89. #15689044C22semidirect
90. #15689043C22semidirect
91. #15689041C22semidirect
92. #15689041C22semidirect
93. #15689040C22semidirect
94. #15689040C22semidirect
95. #15689039C22semidirect
96. #15689039C22semidirect
97. #15689039C22semidirect
98. #15689039C22semidirect
99. #15689039C22semidirect
100. #15689039C22semidirect
101. #15689039C22semidirect
102. #15689038C22semidirect
103. #15689038C22semidirect
104. #15689038C22semidirect
105. #15689036C22semidirect
106. #15689035C22semidirect
107. #15689033C22semidirect
108. #15689032C22semidirect
109. #15689032C22semidirect
110. #15689032C22semidirect
111. #15689032C22semidirect
112. #15689032C22semidirect
113. #15689031C22semidirect
114. #15689031C22semidirect
115. #15689017C22semidirect
116. #15689016C22semidirect
117. #15689013C22semidirect
118. #15689012C22semidirect
119. #15689010C22semidirect
120. #15689009C22semidirect
121. #15689006C22semidirect
122. #15689005C22semidirect
124. #15689003C22semidirect
125. #15689003C22semidirect
126. #15689003C22semidirect
127. #15689003C22semidirect
128. #15689003C22semidirect
129. #15689003C22semidirect
131. #15689002C22semidirect
132. #15689001C22semidirect
133. #15689001C22semidirect
134. #15689001C22semidirect
140. #15689000C22semidirect
141. #15689000C22semidirect
142. #15689000C22semidirect
143. #15689000C22semidirect
144. #15689000C22semidirect
145. #15689000C22semidirect
146. #15689000C22semidirect
147. #15689000C22semidirect
148. #15689000C22semidirect
149. #15689000C22semidirect
150. #15688999C22semidirect
151. #15688999C22semidirect
152. #15688999C22semidirect
153. #15688998C22semidirect
154. #15688997C22semidirect
155. #15688997C22semidirect
156. #15688997C22semidirect
157. #15688995C22semidirect
158. #15688994C22semidirect
159. #15688994C22semidirect
160. #15688994C22semidirect
161. #15688985C22semidirect
162. #15688985C22semidirect
163. #15688983C22semidirect
164. #15688981C22semidirect
165. #15688981C22semidirect
166. #15688981C22semidirect
167. #15688981C22semidirect
168. #15688981C22semidirect
169. #15688981C22semidirect
170. #15688978C22semidirect
171. #15688978C22semidirect
172. C2×C47⋊#95C22semidirect
173. C2×C47⋊#95C22semidirect
176. C2×#120×C47C22semidirect
177. C22×C22⋊C4×C47C22semidirect
178. C47×#397C22semidirect
179. C47×#397C22semidirect
180. C47×#394C22semidirect
181. C47×#394C22semidirect
182. C47×#394C22semidirect
183. C47×#394C22semidirect
184. C47×#392C22semidirect
185. C47×#392C22semidirect
187. C47×#386C22semidirect
188. C47×#380C22semidirect
201. C22×C22⋊D47D4semidirect
967. #2617D47semidirect
1034. C2×#120C2×D47semidirect
1039. C22×C22⋊C4C2×D47semidirect
1054. #397C2×D47semidirect
1055. #397C2×D47semidirect
1072. #394C2×D47semidirect
1073. #394C2×D47semidirect
1074. #394C2×D47semidirect
1075. #394C2×D47semidirect
1086. #392C2×D47semidirect
1087. #392C2×D47semidirect
1127. #386C2×D47semidirect
1145. #380C2×D47semidirect
1150. C47#36737semidirect

Maximal subgroups

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

subgroupindex
C2×#156896882
C2×#156896832
#202516682
#202502222
#202501142
#202501052
#202500992
#202498232
#202498172
#202497932
#202497872
#202497632
#202496532
#202496472
#202496232
#202496172
#202495992
#202495952
#202495902
#202491222
#202478302
#202478282
#202469962
#202469942
#202467832
#202467812
#202467612
#202467592
C2×#156890002
C47×#26172
#3673747