Finite Group Databasebeta

← #26423687

Subgroups — #26423687

Order 12032.

2262 conjugacy classes of subgroups.

The subgroup lattice has 1624 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689749C211yesmaximal, characteristic, complemented
2C2×#15689708C211yesmaximal, characteristic
3#20251738C211yesmaximal, characteristic, complemented
4#20251685C211yesmaximal, characteristic, complemented
5#20249992C211yesmaximal, characteristic, complemented
6#20249986C211yesmaximal, characteristic, complemented
7#20249968C211yesmaximal, characteristic, complemented
8#20249962C211yesmaximal, characteristic, complemented
9#20249843C211yesmaximal, characteristic, complemented
10#20249841C211yesmaximal, characteristic, complemented
11#20249813C211yesmaximal, characteristic, complemented
12#20249811C211yesmaximal, characteristic, complemented
13#20249746C211yesmaximal, characteristic, complemented
14#20249740C211yesmaximal, characteristic, complemented
15#20249725C211yesmaximal, characteristic, complemented
16#20249724C211yesmaximal, characteristic, complemented
17#20249673C211yesmaximal, characteristic, complemented
18#20249671C211yesmaximal, characteristic, complemented
19#20249643C211yesmaximal, characteristic, complemented
20#20249641C211yesmaximal, characteristic, complemented
21#20249505C211yesmaximal, characteristic, complemented
22#20249318C211yesmaximal, characteristic, complemented
23#20248572C211yesmaximal, characteristic, complemented
24#20248566C211yesmaximal, characteristic, complemented
25#20246838C211yesmaximal, characteristic, complemented
26#20246836C211yesmaximal, characteristic, complemented
27#20246785C211yesmaximal, characteristic, complemented
28#20246784C211yesmaximal, characteristic, complemented
29#20246778C211yesmaximal, characteristic, complemented
30C2×#15689017C211yesmaximal, characteristic, complemented
31C47×#2412C211yesmaximal, characteristic, complemented
32#15689749—28no—
33#15689708—28no—
34C2×#13094023C2211yescharacteristic, complemented
35C2×#13094017C2211yescharacteristic
36C2×#13094017C2211yescharacteristic
37C2×#13094011C2211yescharacteristic
38C2×#13094010C2211yescharacteristic
39C2×#13094010C2211yescharacteristic, complemented
40C2×#13094008C2211yescharacteristic
41C2×#13094007C2211yescharacteristic
42C2×#13094006C2211yescharacteristic
43C2×#13094005C2211yescharacteristic
44C2×#13094005C2211yescharacteristic
45C2×#13094003C2211yescharacteristic
46C2×#13094003C2211yescharacteristic
47C2×#13094003C2211yescharacteristic
48C2×#13094003C2211yescharacteristic
49C2×#13094002C2211yescharacteristic, complemented
50C2×#13094001C2211yescharacteristic
51C2×#13094001C2211yescharacteristic
52C2×#13094001C2211yescharacteristic
53C2×#13094001C2211yescharacteristic
54C2×#13094001C2211yescharacteristic
55C2×#13094001C2211yescharacteristic
56C2×#13094001C2211yescharacteristic
57C2×#13094001C2211yescharacteristic
58C2×#13094001C2211yescharacteristic
59C2×#13094001C2211yescharacteristic, complemented
60C2×#13093996C2211yescharacteristic
61C2×#13093996C2211yescharacteristic
62C2×#13093995C2211yescharacteristic
63C2×#13093993C2211yescharacteristic
64C2×D4×Dic47C2211yescharacteristic
65C2×(C22⋊D47)⋊C4C2211yescharacteristic
66C22×Dic47⋊C4C2211yescharacteristic
67C22×C22⋊Dic47C2211yescharacteristic
68C22×C22⋊Dic47C2211yescharacteristic
69C22×C22⋊Dic47C2211yescharacteristic
70C22×C4×Dic47C2211yescharacteristic
71#15689065C2211yescharacteristic, complemented
72#15689065C2211yescharacteristic, complemented
73#15689064C2211yescharacteristic, complemented
74#15689064C2211yescharacteristic, complemented
75#15689059C2211yescharacteristic, complemented
76#15689058C2211yescharacteristic, complemented
77#15689057C2211yescharacteristic, complemented
78#15689057C2211yescharacteristic, complemented
79#15689057C2211yescharacteristic, complemented
80#15689057C2211yescharacteristic, complemented
81#15689056C2211yescharacteristic, complemented
82#15689056C2211yescharacteristic, complemented
83#15689055C2211yescharacteristic, complemented
84#15689054C2211yescharacteristic, complemented
85#15689052C2211yescharacteristic, complemented
86#15689051C2211yescharacteristic
87#15689051C2211yescharacteristic
88#15689051C2211yescharacteristic
89#15689051C2211yescharacteristic
90#15689051C2211yescharacteristic, complemented
91#15689048C2211yescharacteristic
92#15689048C2211yescharacteristic
93#15689047C2211yescharacteristic, complemented
94#15689046C2211yescharacteristic, complemented
95#15689046C2211yescharacteristic, complemented
96#15689045C2211yescharacteristic, complemented
97#15689044C2211yescharacteristic, complemented
98#15689044C2211yescharacteristic, complemented
99#15689044C2211yescharacteristic, complemented
100#15689043C2211yescharacteristic, complemented
101#15689043C2211yescharacteristic, complemented
102#15689043C2211yescharacteristic, complemented
103#15689039C2211yescharacteristic
104#15689039C2211yescharacteristic
105#15689039C2211yescharacteristic, complemented
106#15689038C2211yescharacteristic
107#15689038C2211yescharacteristic
108#15689038C2211yescharacteristic, complemented
109#15689037C2211yescharacteristic
110#15689037C2211yescharacteristic
111#15689036C2211yescharacteristic, complemented
112#15689036C2211yescharacteristic, complemented
113#15689035C2211yescharacteristic, complemented
114#15689035C2211yescharacteristic, complemented
115#15689027C2211yescharacteristic, complemented
116#15689027C2211yescharacteristic, complemented
117#15689027C2211yescharacteristic, complemented
118#15689027C2211yescharacteristic, complemented
119#15689027C2211yescharacteristic, complemented
120#15689023C2211yescharacteristic, complemented
121#15689022C2211yescharacteristic, complemented
122#15689020C2211yescharacteristic, complemented
123#15689020C2211yescharacteristic, complemented
124#15689020C2211yescharacteristic, complemented
125#15689019C2211yescharacteristic, complemented
126#15689018C2211yescharacteristic, complemented
127#15689017C2211yescharacteristic
128#15689017C2211yescharacteristic
129#15689017C2211yescharacteristic
130#15689017C2211yescharacteristic
131#15689017C2211yescharacteristic
132#15689017C2211yescharacteristic
133#15689017C2211yescharacteristic
134#15689017C2211yescharacteristic
135#15689016C2211yescharacteristic, complemented
136#15689015C2211yescharacteristic, complemented
137#15689012C2211yescharacteristic, complemented
138#15689011C2211yescharacteristic, complemented
139#15689010C2211yescharacteristic, complemented
140#15689009C2211yescharacteristic, complemented
141#15689006C2211yescharacteristic, complemented
142#15689005C2211yescharacteristic, complemented
143#15689003C2211yescharacteristic
144#15689003C2211yescharacteristic
145#15689003C2211yescharacteristic
146#15689002C2211yescharacteristic
147#15689002C2211yescharacteristic
148#15689002C2211yescharacteristic
149#15689000C2211yescharacteristic
150#15689000C2211yescharacteristic
151#15689000C2211yescharacteristic
152#15688998C2211yescharacteristic
153#15688998C2211yescharacteristic, complemented
154#15688997C2211yescharacteristic, complemented
155#15688996C2211yescharacteristic
156#15688995C2211yescharacteristic
157#15688995C2211yescharacteristic, complemented
158#15688994C2211yescharacteristic, complemented
159#15688992C2211yescharacteristic, complemented
160#15688987C2211yescharacteristic, complemented
161#15688986C2211yescharacteristic
162#15688984C2211yescharacteristic
163#15688984C2211yescharacteristic
164#15688983C2211yescharacteristic
165#15688983C2211yescharacteristic
166#15688982C2211yescharacteristic, complemented
167#15688981C2211yescharacteristic
168#15688981C2211yescharacteristic
169#15688981C2211yescharacteristic
170#15688981C2211yescharacteristic
171#15688981C2211yescharacteristic, complemented
172C2×C47⋊#95C2211yescharacteristic
173C2×C47⋊#95C2211yescharacteristic
174C2×#123×C47C2211yescharacteristic
175C2×#120×C47C2211yescharacteristic
176C22×C22⋊C4×C47C2211yescharacteristic
177C22×C22⋊C4×C47C2211yescharacteristic
178C47×#397C2211yescharacteristic
179C47×#397C2211yescharacteristic
180C47×#394C2211yescharacteristic
181C47×#394C2211yescharacteristic
182C47×#386C2211yescharacteristic
183C47×#386C2211yescharacteristic
184C47×#386C2211yescharacteristic
185C47×#385C2211yescharacteristic
186C47×#381C2211yescharacteristic
187C47×#380C2211yescharacteristic
188C47×#380C2211yescharacteristic
189C22×Dic94C2311yescharacteristic
190C22×Dic94C2311yescharacteristic
191C22×Dic94C2311yescharacteristic
192C22×Dic94C2311yescharacteristic
193C22×Dic94C2311yescharacteristic
194C22×C22⋊D47C2311yescharacteristic
195C22×C22⋊D47C2311yescharacteristic
196C22×C22⋊D47C2311yescharacteristic
197C22×C22⋊D47C2311yescharacteristic
198C23×Dic47C2311yescharacteristic
199C23×Dic47C2311yescharacteristic
200C23×Dic47C2311yescharacteristic
201C23×Dic47C2311yescharacteristic
202C23×Dic47C2311yescharacteristic
203C23×Dic47C2311yescharacteristic
204C23×Dic47C2311yescharacteristic
205C22×C4×D47C2311yescharacteristic
206#13094023—42no—
207#13094017—24no—
208#13094017—24no—
209#13094011—24no—
210#13094010—24no—
211#13094010—42no—
212#13094008—42no—
213#13094007—42no—
214#13094006—24no—
215#13094005—24no—
216#13094005—42no—
217#13094003—24no—
218#13094003—24no—
219#13094003—24no—
220#13094003—24no—
221#13094002—42no—
222#13094001—24no—
223#13094001—24no—
224#13094001—24no—
225#13094001—24no—
226#13094001—24no—
227#13094001—24no—
228#13094001—24no—
229#13094001—24no—
230#13094001—24no—
231#13094001—42no—
232#13093996—24no—
233#13093996—24no—
234#13093995—24no—
235#13093993—24no—
236D4×Dic47—24no—
237(C22⋊D47)⋊C4—24no—
238C2×C4⋊Dic47C2311yescharacteristic
239C2×C4⋊Dic47C2311yescharacteristic
240C2×C4⋊Dic47C2311yescharacteristic
241C2×C4⋊Dic47C2311yescharacteristic
242C2×C4⋊Dic47C2311yescharacteristic
243C2×C4⋊Dic47C2311yescharacteristic
244C2×C4⋊Dic47C2311yescharacteristic
245C2×C4⋊Dic47C2311yescharacteristic
246C2×C4⋊Dic47C2311yescharacteristic
247C2×C4⋊Dic47C2311yescharacteristic
248C2×Dic47⋊C4—42no—
249C2×Dic47⋊C4C2311yescharacteristic
250C2×Dic47⋊C4C2311yescharacteristic
251C2×Dic47⋊C4C2311yescharacteristic
252C2×Dic47⋊C4C2311yescharacteristic
253C2×Dic47⋊C4C2311yescharacteristic
254C2×Dic47⋊C4C2311yescharacteristic
255C2×Dic47⋊C4C2311yescharacteristic
256C2×Dic47⋊C4C2311yescharacteristic
257C2×Dic47⋊C4C2311yescharacteristic
258C2×Dic47⋊C4C2311yescharacteristic
259C2×Dic47⋊C4C2311yescharacteristic
260C2×Dic47⋊C4C2311yescharacteristic
261C2×Dic47⋊C4C2311yescharacteristic
262C2×Dic47⋊C4C2311yescharacteristic
263C2×Dic47⋊C4C2311yescharacteristic
264C2×Dic47⋊C4C2311yescharacteristic
265C2×Dic47⋊C4C2311yescharacteristic
266C2×Dic47⋊C4C2311yescharacteristic
267C2×Dic47⋊C4C2311yescharacteristic
268C2×Dic47⋊C4C2311yescharacteristic
269C2×Dic47⋊C4C2311yescharacteristic
270C2×Dic47⋊C4C2311yescharacteristic
271C2×Dic47⋊C4C2311yescharacteristic
272C2×Dic47⋊C4C2311yescharacteristic
273C2×C22⋊Dic47—24no—
274C2×C22⋊Dic47—42no—
275C2×C22⋊Dic47D418yes—
276C2×C22⋊Dic47C2311yescharacteristic
277C2×C22⋊Dic47C2311yescharacteristic
278C2×C22⋊Dic47C2311yescharacteristic
279C2×C22⋊Dic47C2311yescharacteristic
280C2×C22⋊Dic47C2311yescharacteristic
281C2×C22⋊Dic47C2311yescharacteristic
282C2×C22⋊Dic47C2311yescharacteristic
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×C22⋊Dic47C2311yescharacteristic
295C2×C22⋊Dic47C2311yescharacteristic
296C2×C22⋊Dic47C2311yescharacteristic
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×C4×Dic47—42no—
308C2×C4×Dic47C2311yescharacteristic
309C2×C4×Dic47C2311yescharacteristic
310C2×C4×Dic47C2311yescharacteristic
311C2×C4×Dic47C2311yescharacteristic
312C2×C4×Dic47C2311yescharacteristic
313C2×C4×Dic47C2311yescharacteristic
314C47⋊#95C2311yescharacteristic
315C47⋊#95C2311yescharacteristic
316C47⋊#95C2311yescharacteristic
317C47⋊#95C2311yescharacteristic
318C47⋊#95C2311yescharacteristic
319C47⋊#95C2311yescharacteristic
320C47⋊#95C2311yescharacteristic
321C47⋊#95C2311yescharacteristic
322C47⋊#95C2311yescharacteristic
323C47⋊#95C2311yescharacteristic
324C47⋊#95C2311yescharacteristic
325C47⋊#95C2311yescharacteristic
326C47⋊#95C2311yescharacteristic
327C47⋊#95C2311yescharacteristic
328C47⋊#95C2311yescharacteristic
329C47⋊#95C2311yescharacteristic
330C47⋊#95C2311yescharacteristic
331C47⋊#95C2311yescharacteristic
332C47⋊#95C2311yescharacteristic
333C47⋊#95C2311yescharacteristic
334C47⋊#95C2311yescharacteristic
335C47⋊#95C2311yescharacteristic
336C47⋊#95C2311yescharacteristic
337C47⋊#95C2311yescharacteristic
338C47⋊#95C2311yescharacteristic
339C47⋊#95C2311yescharacteristic
340C47⋊#95C2311yescharacteristic
341C47⋊#95C2311yescharacteristic
342C47⋊#95C2311yescharacteristic
343C47⋊#95C2311yescharacteristic
344C47⋊#95C2311yescharacteristic
345C47⋊#95C2311yescharacteristic
346C25×C47C2311yescharacteristic
347C22×D4×C47C2311yescharacteristic
348C22×D4×C47C2311yescharacteristic
349C22×D4×C47C2311yescharacteristic
350C23×C4×C47C2311yescharacteristic
351C23×C4×C47C2311yescharacteristic
352C23×C4×C47C2311yescharacteristic
353C23×C4×C47C2311yescharacteristic
354#123×C47—42no—
355#120×C47—24no—
356C2×C4⋊C4×C47C2311yescharacteristic
357C2×C4⋊C4×C47C2311yescharacteristic
358C2×C4⋊C4×C47C2311yescharacteristic
359C2×C4⋊C4×C47C2311yescharacteristic
360C2×C22⋊C4×C47—24no—
361C2×C22⋊C4×C47—42no—
362C2×C22⋊C4×C47C2311yescharacteristic
363C2×C22⋊C4×C47C2311yescharacteristic
364C2×C22⋊C4×C47C2311yescharacteristic
365C2×C22⋊C4×C47C2311yescharacteristic
366C2×C22⋊C4×C47C2311yescharacteristic
367C2×C22⋊C4×C47C2311yescharacteristic
368C2×C22⋊C4×C47C2311yescharacteristic
369C2×C22⋊C4×C47C2311yescharacteristic
370C2×C22⋊C4×C47C2311yescharacteristic
371C2×C22⋊C4×C47C2311yescharacteristic
372C2×C22⋊C4×C47C2311yescharacteristic
373C2×C22⋊C4×C47C2311yescharacteristic
374C2×C22⋊C4×C47C2311yescharacteristic
375C2×C22⋊C4×C47C2311yescharacteristic
376C2×C22⋊C4×C47C2311yescharacteristic
377#95×C47C2311yescharacteristic
378#95×C47C2311yescharacteristic
379#95×C47C2311yescharacteristic
380#95×C47C2311yescharacteristic
381#95×C47C2311yescharacteristic
382#95×C47C2311yescharacteristic
383#95×C47C2311yescharacteristic
384#95×C47C2311yescharacteristic
385C24×C47—22no—
386C24×C47—22no—
387C24×C47—41no—
388C24×C47—41no—
389C24×C47—41no—
390C24×C47—41no—
391C24×C47C2×D414yes—
392C24×C47C2411yescharacteristic
393C24×C47C2411yescharacteristic
394C24×C47C2411yescharacteristic
395C24×C47C2411yescharacteristic
396C23×D47C2411yescharacteristic
397C2×D4×C47—22no—
398C2×D4×C47—22no—
399C2×D4×C47—22no—
400C2×D4×C47—22no—
401C2×D4×C47—22no—
402C2×D4×C47—41no—
403C2×D4×C47—41no—
404C2×D4×C47—41no—
405C2×D4×C47—41no—
406C22×C4×C47—22no—
407C22×C4×C47—22no—
408C22×C4×C47—22no—
409C22×C4×C47—22no—
410C22×C4×C47—22no—
411C22×C4×C47—41no—
412C22×C4×C47—41no—
413C22×C4×C47—41no—
414C22×C4×C47—41no—
415C22×C4×C47—41no—
416C22×C4×C47—41no—
417C22×C4×C47—41no—
418C22×C4×C47C2411yescharacteristic
419C22×C4×C47C2411yescharacteristic
420C22×C4×C47C2411yescharacteristic
421C22×C4×C47C2411yescharacteristic
422C22×C4×C47C2411yescharacteristic
423C22×C4×C47C2411yescharacteristic
424C22×C4×C47C2411yescharacteristic
425C22×C4×C47C2411yescharacteristic
426C22×C4×C47C2411yescharacteristic
427C22×C4×C47C2411yescharacteristic
428C22×C4×C47C2411yescharacteristic
429C2×C22⋊D47—22no—
430C2×C22⋊D47—22no—
431C2×C22⋊D47—22no—
432C2×C22⋊D47—22no—
433C2×C22⋊D47—22no—
434C2×C22⋊D47—22no—
435C2×C22⋊D47—41no—
436C2×C22⋊D47—41no—
437C2×C22⋊D47—41no—
438C2×C22⋊D47—41no—
439C2×C22⋊D47—41no—
440C2×C22⋊D47—41no—
441C22×Dic47—22no—
442C22×Dic47—22no—
443C22×Dic47—22no—
444C22×Dic47—22no—
445C22×Dic47—22no—
446C22×Dic47—22no—
447C22×Dic47—41no—
448C22×Dic47—41no—
449C22×Dic47—41no—
450C22×Dic47—41no—
451C22×Dic47—41no—
452C22×Dic47—41no—
453C22×Dic47—41no—
454C22×Dic47—41no—
455C22×Dic47—41no—
456C22×Dic47—41no—
457C22×Dic47—41no—
458C22×Dic47—41no—
459C22×Dic47—41no—
460C22×Dic47C2×D414yes—
461C22×Dic47C2×D414yes—
462C22×Dic47C2411yescharacteristic
463C22×Dic47C2411yescharacteristic
464C22×Dic47C2411yescharacteristic
465C22×Dic47C2411yescharacteristic
466C22×Dic47C2411yescharacteristic
467C22×Dic47C2411yescharacteristic
468C22×Dic47C2411yescharacteristic
469C22×Dic47C2411yescharacteristic
470C22×Dic47C2411yescharacteristic
471C22×Dic47C2411yescharacteristic
472C22×Dic47C2411yescharacteristic
473C22×Dic47C2411yescharacteristic
474C22×Dic47C2411yescharacteristic
475C22×Dic47C2411yescharacteristic
476C22×Dic47C2411yescharacteristic
477C2×C4×D47—22no—
478C2×C4×D47—41no—
479C2×C4×D47—41no—
480C2×Dic94—22no—
481C2×Dic94—22no—
482C2×Dic94—22no—
483C2×Dic94—22no—
484C2×Dic94—22no—
485C2×Dic94—41no—
486C2×Dic94—41no—
487C2×Dic94—41no—
488C2×Dic94—41no—
489C2×Dic94—41no—
490C2×Dic94—41no—
491C2×Dic94—41no—
492C2×Dic94—41no—
493C2×Dic94—41no—
494C2×Dic94—41no—
495C4⋊C4×C47—22no—
496C4⋊C4×C47—41no—
497C4⋊C4×C47—41no—
498C4⋊C4×C47—41no—
499C22⋊C4×C47—22no—
500C22⋊C4×C47—22no—
501C22⋊C4×C47—22no—
502C22⋊C4×C47—22no—
503C22⋊C4×C47—22no—
504C22⋊C4×C47—22no—
505C22⋊C4×C47—22no—
506C22⋊C4×C47—22no—
507C22⋊C4×C47—22no—
508C22⋊C4×C47—22no—
509C22⋊C4×C47—41no—
510C22⋊C4×C47—41no—
511C22⋊C4×C47—41no—
512C22⋊C4×C47—41no—
513C22⋊C4×C47—41no—
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—22no—
525C22⋊Dic47—22no—
526C22⋊Dic47—41no—
527C22⋊Dic47—41no—
528C22⋊Dic47—41no—
529C22⋊Dic47—41no—
530C22⋊Dic47—41no—
531C22⋊Dic47C2×D414yes—
532C22⋊Dic47C2×D414yes—
533C22⋊Dic47C2×D414yes—
534C22⋊Dic47C2×D414yes—
535(C2×D47)⋊C4—22no—
536(C2×D47)⋊C4—22no—
537(C2×D47)⋊C4—22no—
538(C2×D47)⋊C4—22no—
539(C2×D47)⋊C4—41no—
540(C2×D47)⋊C4—41no—
541(C2×D47)⋊C4—41no—
542(C2×D47)⋊C4—41no—
543(C2×D47)⋊C4—41no—
544(C2×D47)⋊C4—41no—
545C4⋊Dic47—22no—
546C4⋊Dic47—22no—
547C4⋊Dic47—22no—
548C4⋊Dic47—22no—
549C4⋊Dic47—22no—
550C4⋊Dic47—22no—
551C4⋊Dic47—22no—
552C4⋊Dic47—41no—
553C4⋊Dic47—41no—
554C4⋊Dic47—41no—
555Dic47⋊C4—22no—
556Dic47⋊C4—22no—
557Dic47⋊C4—22no—
558Dic47⋊C4—22no—
559Dic47⋊C4—22no—
560Dic47⋊C4—22no—
561Dic47⋊C4—22no—
562Dic47⋊C4—22no—
563Dic47⋊C4—22no—
564Dic47⋊C4—22no—
565Dic47⋊C4—22no—
566Dic47⋊C4—22no—
567Dic47⋊C4—22no—
568Dic47⋊C4—22no—
569Dic47⋊C4—22no—
570Dic47⋊C4—22no—
571Dic47⋊C4—41no—
572Dic47⋊C4—41no—
573Dic47⋊C4—41no—
574Dic47⋊C4—41no—
575Dic47⋊C4—41no—
576Dic47⋊C4—41no—
577Dic47⋊C4—41no—
578Dic47⋊C4—41no—
579C4×Dic47—22no—
580C4×Dic47—22no—
581C4×Dic47—22no—
582C4×Dic47—22no—
583C4×Dic47—41no—
584C4×Dic47—41no—
585C23×C47—21no—
586C23×C47—21no—
587C23×C47—21no—
588C23×C47—21no—
589C23×C47—21no—
590C23×C47—21no—
591C23×C47—21no—
592C23×C47—21no—
593C23×C47—21no—
594C23×C47—21no—
595C23×C47—21no—
596C23×C47—21no—
597C23×C47—21no—
598C23×C47—21no—
599C23×C47—21no—
600C23×C47—21no—
601C23×C47—28no—
602C23×C47—21no—
603C23×C47—21no—
604C23×C47—21no—
605C23×C47—21no—
606C23×C47—21no—
607C23×C47—21no—
608C23×C47—21no—
609C23×C47—44no—
610C23×C47—44no—
611C23×C47—82no—
612C23×C47—82no—
613C23×C47—82no—
614C23×C47—82no—
615C23×C47C22×D412yes—
616C23×C47C22×D412yes—
617C23×C47C22×D412yes—
618C23×C472−1+412yes—
619C23×C472−1+412yes—
620C23×C47C2511yescharacteristic
621C22×D47—21no—
622C22×D47—21no—
623C22×D47—21no—
624C22×D47—21no—
625C22×D47—21no—
626C22×D47—21no—
627C22×D47—21no—
628D4×C47—44no—
629D4×C47—82no—
630D4×C47—82no—
631C2×C4×C47—21no—
632C2×C4×C47—21no—
633C2×C4×C47—21no—
634C2×C4×C47—21no—
635C2×C4×C47—21no—
636C2×C4×C47—21no—
637C2×C4×C47—21no—
638C2×C4×C47—21no—
639C2×C4×C47—21no—
640C2×C4×C47—21no—
641C2×C4×C47—21no—
642C2×C4×C47—21no—
643C2×C4×C47—21no—
644C2×C4×C47—21no—
645C2×C4×C47—21no—
646C2×C4×C47—21no—
647C2×C4×C47—21no—
648C2×C4×C47—21no—
649C2×C4×C47—21no—
650C2×C4×C47—21no—
651C2×C4×C47—21no—
652C2×C4×C47—21no—
653C2×C4×C47—21no—
654C2×C4×C47—21no—
655C2×C4×C47—21no—
656C2×C4×C47—21no—
657C2×C4×C47—21no—
658C2×C4×C47—21no—
659C2×C4×C47—21no—
660C2×C4×C47—21no—
661C2×C4×C47—21no—
662C2×C4×C47—21no—
663C2×C4×C47—44no—
664C2×C4×C47—82no—
665C2×C4×C47—82no—
666C2×C4×C47—82no—
667C2×C4×C47H(5,𝔽2)12yes—
668C22⋊D47—44no—
669C22⋊D47—82no—
670C22⋊D47—82no—
671C22⋊D47—82no—
672C2×Dic47—21no—
673C2×Dic47—21no—
674C2×Dic47—21no—
675C2×Dic47—21no—
676C2×Dic47—21no—
677C2×Dic47—21no—
678C2×Dic47—21no—
679C2×Dic47—21no—
680C2×Dic47—21no—
681C2×Dic47—21no—
682C2×Dic47—21no—
683C2×Dic47—21no—
684C2×Dic47—21no—
685C2×Dic47—21no—
686C2×Dic47—21no—
687C2×Dic47—21no—
688C2×Dic47—21no—
689C2×Dic47—21no—
690C2×Dic47—21no—
691C2×Dic47—21no—
692C2×Dic47—21no—
693C2×Dic47—21no—
694C2×Dic47—21no—
695C2×Dic47—21no—
696C2×Dic47—21no—
697C2×Dic47—21no—
698C2×Dic47—21no—
699C2×Dic47—21no—
700C2×Dic47—21no—
701C2×Dic47—21no—
702C2×Dic47—21no—
703C2×Dic47—21no—
704C2×Dic47—21no—
705C2×Dic47—21no—
706C2×Dic47—21no—
707C2×Dic47—21no—
708C2×Dic47—21no—
709C2×Dic47—21no—
710C2×Dic47—21no—
711C2×Dic47—21no—
712C2×Dic47—44no—
713C2×Dic47—44no—
714C2×Dic47—44no—
715C2×Dic47—82no—
716C2×Dic47—82no—
717C2×Dic47—82no—
718C2×Dic47—82no—
719C2×Dic47C22×D412yes—
720C2×Dic47C22×D412yes—
721C2×Dic47C22×D412yes—
722C2×Dic47C22×D412yes—
723C2×Dic47H(5,𝔽2)12yes—
724C4×D47—82no—
725Dic94—82no—
726Dic94—82no—
727Dic94—82no—
728Dic94—82no—
729Dic94—82no—
730#36740—471nomaximal, Sylow
731C22×C47—22no—
732C22×C47—22no—
733C22×C47—22no—
734C22×C47—22no—
735C22×C47—22no—
736C22×C47—22no—
737C22×C47—22no—
738C22×C47—22no—
739C22×C47—22no—
740C22×C47—22no—
741C22×C47—22no—
742C22×C47—22no—
743C22×C47—41no—
744C22×C47—41no—
745C22×C47—41no—
746C22×C47—41no—
747C22×C47—41no—
748C22×C47—41no—
749C22×C47—41no—
750C22×C47—41no—
751C22×C47—41no—
752C22×C47—41no—
753C22×C47—41no—
754C22×C47—41no—
755C22×C47—41no—
756C22×C47—41no—
757C22×C47—41no—
758C22×C47—88no—
759C22×C47#53614yes—
760C22×C47C23×D411yescharacteristic
761C22×C47C2×H(5,𝔽2)11yescharacteristic
762C22×C47C2×H(5,𝔽2)11yescharacteristic
763C22×C47C2×2−1+411yescharacteristic
764C22×C47C2×2−1+411yescharacteristic
765C22×C47#58511yescharacteristic
766C22×C47#58511yescharacteristic
767C2×D47—41no—
768C2×D47—41no—
769C2×D47—41no—
770C2×D47—41no—
771C2×D47—41no—
772C2×D47—41no—
773C2×D47—41no—
774C4×C47—22no—
775C4×C47—41no—
776C4×C47—41no—
777C4×C47—41no—
778C4×C47—41no—
779C4×C47—41no—
780C4×C47—41no—
781C4×C47—41no—
782C4×C47—41no—
783C4×C47—41no—
784C4×C47—41no—
785Dic47—22no—
786Dic47—22no—
787Dic47—22no—
788Dic47—22no—
789Dic47—22no—
790Dic47—41no—
791Dic47—41no—
792Dic47—41no—
793Dic47—41no—
794Dic47—41no—
795Dic47—41no—
796Dic47—41no—
797Dic47—41no—
798Dic47—41no—
799Dic47—41no—
800C2×#543—471no—
801C2×#538—471no—
802#2857—471no—
803#2850—471no—
804#2700—471no—
805#2700—471no—
806#2698—471no—
807#2698—471no—
808#2689—471no—
809#2689—471no—
810#2687—471no—
811#2687—471no—
812#2681—471no—
813#2681—471no—
814#2680—471no—
815#2680—471no—
816#2674—471no—
817#2674—471no—
818#2672—471no—
819#2672—471no—
820#2659—471no—
821#2639—471no—
822#2564—471no—
823#2564—471no—
824#2417—471no—
825#2417—471no—
826#2412—471no—
827#2412—471no—
828#2412—471no—
829#2412D4711yescharacteristic, complemented
830C2×#388—471no—
831C2×C47—24no—
832C2×C47—42no—
833C2×C47—42no—
834C2×C47—81no—
835C2×C47C2×#53611yescharacteristic
836C2×C47#349611yescharacteristic
837C2×C47#349611yescharacteristic
838C2×C47#353511yescharacteristic
839C2×C47#353611yescharacteristic
840C2×C47#356111yescharacteristic
841C2×C47#356411yescharacteristic
842D47—81no—
843#543—948no—
844#538—948no—
845C2×C4⋊Q8—471no—
846C2×#126—471no—
847C2×#126—471no—
848C2×#124—471no—
849C2×#124—471no—
850C2×#124—471no—
851C2×#123—471no—
852C2×#123—471no—
853C2×#123—471no—
854C2×#123—471no—
855C2×#123—471no—
856C2×#123C2×D4711yescharacteristic
857C2×C22⋊Q8—471no—
858C2×C22⋊Q8—471no—
859C2×C22⋊Q8—471no—
860C2×C22⋊Q8—471no—
861C2×C22⋊Q8—471no—
862C2×C22⋊Q8—471no—
863C2×C22⋊Q8—471no—
864C2×C22⋊Q8—471no—
865C2×C22⋊Q8—471no—
866C2×C22⋊Q8—471no—
867C2×C22⋊Q8—471no—
868C2×C22⋊Q8—471no—
869C2×C22⋊Q8—471no—
870C2×C22⋊Q8—471no—
871C2×C22⋊Q8—471no—
872C2×#121—471no—
873C2×#121—471no—
874C2×#121—471no—
875C2×#120—471no—
876C2×#120C2×D4711yescharacteristic
877C2×C4×D4—471no—
878C2×C4×D4—471no—
879C22×C4⋊C4—471no—
880C22×C22⋊C4—471no—
881C22×C22⋊C4—471no—
882C22×C22⋊C4—471no—
883C22×C22⋊C4C2×D4711yescharacteristic
884C22×C22⋊C4C2×D4711yescharacteristic
885C22×C42—471no—
886#400—471no—
887#400—471no—
888#400—471no—
889#400—471no—
890#399—471no—
891#399—471no—
892#398—471no—
893#398—471no—
894#398—471no—
895#398—471no—
896#398—471no—
897#398—471no—
898#398—471no—
899#398—471no—
900#397—471no—
901#397—471no—
902#397—471no—
903#397—471no—
904#397—471no—
905#397—471no—
906#397—471no—
907#397—471no—
908#397C2×D4711yescharacteristic
909#397C2×D4711yescharacteristic
910#396—471no—
911#396—471no—
912#396—471no—
913#396—471no—
914#395—471no—
915#395—471no—
916#395—471no—
917#395—471no—
918#395—471no—
919#395—471no—
920#394—471no—
921#394—471no—
922#394—471no—
923#394—471no—
924#394—471no—
925#394—471no—
926#394—471no—
927#394—471no—
928#394C2×D4711yescharacteristic
929#394C2×D4711yescharacteristic
930#393—471no—
931#393—471no—
932#393—471no—
933#393—471no—
934#391—471no—
935#391—471no—
936#391—471no—
937#391—471no—
938#391—471no—
939#390—471no—
940#389—471no—
941#389—471no—
942#389—471no—
943#389—471no—
944#389—471no—
945#389—471no—
946#388—471no—
947#388—471no—
948#388—471no—
949#388—471no—
950#388—471no—
951#388—471no—
952#388—471no—
953#388—471no—
954#388—471no—
955#388—471no—
956#388—471no—
957#388—471no—
958#387—471no—
959#387—471no—
960#387—471no—
961#387—471no—
962#386—471no—
963#386—471no—
964#386—471no—
965#386—471no—
966#386—471no—
967#386—471no—
968#386—471no—
969#386—471no—
970#386—471no—
971#386C2×D4711yescharacteristic
972#386C2×D4711yescharacteristic
973#386C2×D4711yescharacteristic
974#385—471no—
975#385—471no—
976#385—471no—
977#385—471no—
978#385—471no—
979#385—471no—
980#385—471no—
981#385C2×D4711yescharacteristic
982#384—471no—
983#382—471no—
984#381—471no—
985#381—471no—
986#381—471no—
987#381C2×D4711yescharacteristic
988#380—471no—
989#380—471no—
990#380—471no—
991#380—471no—
992#380—471no—
993#380—471no—
994#380—471no—
995#380—471no—
996#380C2×D4711yescharacteristic
997#380C2×D4711yescharacteristic
998C2×#95—471no—
999C2×#95—471no—
1000C47#3674011yescharacteristic, complemented, Sylow
1001C25C22×D4711yescharacteristic
1002C22×Q8—471no—
1003C22×Q8—471no—
1004C22×Q8—471no—
1005C22×Q8—471no—
1006C22×Q8—471no—
1007C22×D4—471no—
1008C22×D4—471no—
1009C22×D4—471no—
1010C22×D4—471no—
1011C22×D4C22×D4711yescharacteristic
1012C22×D4C22×D4711yescharacteristic
1013C22×D4C22×D4711yescharacteristic
1014C23×C4—471no—
1015C23×C4—471no—
1016C23×C4—471no—
1017C23×C4—471no—
1018C23×C4—471no—
1019C23×C4—471no—
1020C23×C4—471no—
1021C23×C4—471no—
1022C23×C4C22×D4711yescharacteristic
1023C23×C4C22×D4711yescharacteristic
1024C23×C4C22×D4711yescharacteristic
1025C23×C4C22×D4711yescharacteristic
1026C4⋊Q8—1882no—
1027#126—944no—
1028#126—944no—
1029#124—944no—
1030#124—944no—
1031#124—1882no—
1032#123—42no—
1033#123—944no—
1034#123—944no—
1035#123—1882no—
1036#123—1882no—
1037#123—1882no—
1038C22⋊Q8—944no—
1039C22⋊Q8—944no—
1040C22⋊Q8—944no—
1041C22⋊Q8—944no—
1042C22⋊Q8—944no—
1043C22⋊Q8—944no—
1044C22⋊Q8—944no—
1045C22⋊Q8—944no—
1046C22⋊Q8—944no—
1047C22⋊Q8—944no—
1048C22⋊Q8—944no—
1049C22⋊Q8—944no—
1050C22⋊Q8—944no—
1051C22⋊Q8—1882no—
1052C22⋊Q8—1882no—
1053#121—944no—
1054#121—944no—
1055#121—944no—
1056#120—24no—
1057#120—944no—
1058C4×D4—944no—
1059C4×D4—944no—
1060C2×C4⋊C4—471no—
1061C2×C4⋊C4—471no—
1062C2×C4⋊C4—471no—
1063C2×C4⋊C4—471no—
1064C2×C4⋊C4—471no—
1065C2×C4⋊C4—471no—
1066C2×C4⋊C4—471no—
1067C2×C4⋊C4—471no—
1068C2×C4⋊C4—471no—
1069C2×C4⋊C4—471no—
1070C2×C4⋊C4—471no—
1071C2×C4⋊C4—471no—
1072C2×C4⋊C4—471no—
1073C2×C4⋊C4—471no—
1074C2×C4⋊C4—471no—
1075C2×C4⋊C4—471no—
1076C2×C4⋊C4—471no—
1077C2×C4⋊C4—471no—
1078C2×C4⋊C4—471no—
1079C2×C4⋊C4—471no—
1080C2×C4⋊C4—471no—
1081C2×C4⋊C4—471no—
1082C2×C4⋊C4—471no—
1083C2×C4⋊C4—471no—
1084C2×C4⋊C4—471no—
1085C2×C4⋊C4—471no—
1086C2×C4⋊C4—471no—
1087C2×C4⋊C4—471no—
1088C2×C4⋊C4—471no—
1089C2×C4⋊C4—471no—
1090C2×C4⋊C4—471no—
1091C2×C4⋊C4—471no—
1092C2×C4⋊C4—471no—
1093C2×C4⋊C4—471no—
1094C2×C4⋊C4—1882no—
1095C2×C4⋊C4C22×D4711yescharacteristic
1096C2×C4⋊C4C22×D4711yescharacteristic
1097C2×C4⋊C4C22×D4711yescharacteristic
1098C2×C4⋊C4C22×D4711yescharacteristic
1099C2×C22⋊C4—24no—
1100C2×C22⋊C4—42no—
1101C2×C22⋊C4—478no—
1102C2×C22⋊C4—471no—
1103C2×C22⋊C4—471no—
1104C2×C22⋊C4—471no—
1105C2×C22⋊C4—471no—
1106C2×C22⋊C4—471no—
1107C2×C22⋊C4—471no—
1108C2×C22⋊C4—471no—
1109C2×C22⋊C4—471no—
1110C2×C22⋊C4—471no—
1111C2×C22⋊C4—471no—
1112C2×C22⋊C4—471no—
1113C2×C22⋊C4—471no—
1114C2×C22⋊C4—471no—
1115C2×C22⋊C4—471no—
1116C2×C22⋊C4—471no—
1117C2×C22⋊C4—471no—
1118C2×C22⋊C4—471no—
1119C2×C22⋊C4—471no—
1120C2×C22⋊C4—471no—
1121C2×C22⋊C4—471no—
1122C2×C22⋊C4—471no—
1123C2×C22⋊C4—471no—
1124C2×C22⋊C4—471no—
1125C2×C22⋊C4—471no—
1126C2×C22⋊C4—471no—
1127C2×C22⋊C4—471no—
1128C2×C22⋊C4—471no—
1129C2×C22⋊C4—471no—
1130C2×C22⋊C4—471no—
1131C2×C22⋊C4—471no—
1132C2×C22⋊C4—471no—
1133C2×C22⋊C4—944no—
1134C2×C22⋊C4—1882no—
1135C2×C22⋊C4C22×D4711yescharacteristic
1136C2×C22⋊C4C22×D4711yescharacteristic
1137C2×C22⋊C4C22×D4711yescharacteristic
1138C2×C22⋊C4C22×D4711yescharacteristic
1139C2×C22⋊C4C22×D4711yescharacteristic
1140C2×C22⋊C4C22×D4711yescharacteristic
1141C2×C22⋊C4C22×D4711yescharacteristic
1142C2×C22⋊C4C22×D4711yescharacteristic
1143C2×C22⋊C4C22×D4711yescharacteristic
1144C2×C22⋊C4C22×D4711yescharacteristic
1145C2×C22⋊C4C22×D4711yescharacteristic
1146C2×C22⋊C4C22×D4711yescharacteristic
1147C2×C22⋊C4C22×D4711yescharacteristic
1148C2×C22⋊C4C22×D4711yescharacteristic
1149C2×C22⋊C4C22×D4711yescharacteristic
1150C2×C42—471no—
1151C2×C42—471no—
1152C2×C42—471no—
1153C2×C42—471no—
1154C2×C42—471no—
1155C2×C42—471no—
1156C2×C42—1882no—
1157#95—471no—
1158#95—471no—
1159#95—471no—
1160#95—471no—
1161#95—471no—
1162#95—471no—
1163#95—471no—
1164#95—471no—
1165#95—471no—
1166#95—471no—
1167#95—471no—
1168#95—471no—
1169#95—471no—
1170#95—471no—
1171#95—471no—
1172#95—471no—
1173#95—471no—
1174#95—471no—
1175#95—471no—
1176#95—471no—
1177#95—471no—
1178#95—471no—
1179#95—471no—
1180#95—471no—
1181#95—471no—
1182#95—471no—
1183#95—471no—
1184#95—471no—
1185#95—471no—
1186#95—471no—
1187#95—471no—
1188#95—471no—
1189#95C22×D4711yescharacteristic
1190#95C22×D4711yescharacteristic
1191#95C22×D4711yescharacteristic
1192#95C22×D4711yescharacteristic
1193#95C22×D4711yescharacteristic
1194#95C22×D4711yescharacteristic
1195#95C22×D4711yescharacteristic
1196#95C22×D4711yescharacteristic
1197C24—22no—
1198C24—22no—
1199C24—41no—
1200C24—41no—
1201C24—41no—
1202C24—41no—
1203C24—471no—
1204C24D4×D4714yes—
1205C24C23×D4711yescharacteristic
1206C24C23×D4711yescharacteristic
1207C24C23×D4711yescharacteristic
1208C24C23×D4711yescharacteristic
1209C2×Q8—942no—
1210C2×Q8—942no—
1211C2×Q8—942no—
1212C2×Q8—942no—
1213C2×Q8—942no—
1214C2×Q8—1881no—
1215C2×Q8—1881no—
1216C2×Q8—1881no—
1217C2×Q8—1881no—
1218C2×Q8—1881no—
1219C2×Q8—1881no—
1220C2×Q8—1881no—
1221C2×Q8—1881no—
1222C2×Q8—1881no—
1223C2×Q8—1881no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—22no—
1227C2×D4—22no—
1228C2×D4—22no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—942no—
1234C2×D4—942no—
1235C2×D4—942no—
1236C2×D4—942no—
1237C2×D4—942no—
1238C2×D4—942no—
1239C2×D4—1881no—
1240C2×D4—1881no—
1241C2×D4—1881no—
1242C2×D4—1881no—
1243C2×D4—1881no—
1244C2×D4—1881no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—471no—
1258C22×C4—471no—
1259C22×C4—471no—
1260C22×C4—471no—
1261C22×C4—471no—
1262C22×C4—474no—
1263C22×C4—474no—
1264C22×C4—471no—
1265C22×C4—471no—
1266C22×C4—471no—
1267C22×C4—471no—
1268C22×C4—471no—
1269C22×C4—471no—
1270C22×C4—471no—
1271C22×C4—471no—
1272C22×C4—471no—
1273C22×C4—471no—
1274C22×C4—942no—
1275C22×C4—942no—
1276C22×C4—942no—
1277C22×C4—942no—
1278C22×C4—942no—
1279C22×C4—942no—
1280C22×C4—942no—
1281C22×C4—1881no—
1282C22×C4—1881no—
1283C22×C4—1881no—
1284C22×C4—1881no—
1285C22×C4—1881no—
1286C22×C4—1881no—
1287C22×C4—1881no—
1288C22×C4—1881no—
1289C22×C4—1881no—
1290C22×C4—1881no—
1291C22×C4—1881no—
1292C22×C4—1881no—
1293C22×C4—1881no—
1294C22×C4—1881no—
1295C22×C4—1881no—
1296C22×C4C23×D4711yescharacteristic
1297C22×C4C23×D4711yescharacteristic
1298C22×C4C23×D4711yescharacteristic
1299C22×C4C23×D4711yescharacteristic
1300C22×C4C23×D4711yescharacteristic
1301C22×C4C23×D4711yescharacteristic
1302C22×C4C23×D4711yescharacteristic
1303C22×C4C23×D4711yescharacteristic
1304C22×C4C23×D4711yescharacteristic
1305C22×C4C23×D4711yescharacteristic
1306C22×C4C23×D4711yescharacteristic
1307C4⋊C4—22no—
1308C4⋊C4—41no—
1309C4⋊C4—41no—
1310C4⋊C4—41no—
1311C4⋊C4—942no—
1312C4⋊C4—942no—
1313C4⋊C4—942no—
1314C4⋊C4—942no—
1315C4⋊C4—942no—
1316C4⋊C4—942no—
1317C4⋊C4—942no—
1318C4⋊C4—942no—
1319C4⋊C4—942no—
1320C4⋊C4—942no—
1321C4⋊C4—942no—
1322C4⋊C4—942no—
1323C4⋊C4—942no—
1324C4⋊C4—942no—
1325C4⋊C4—942no—
1326C4⋊C4—942no—
1327C4⋊C4—942no—
1328C4⋊C4—942no—
1329C4⋊C4—942no—
1330C4⋊C4—942no—
1331C4⋊C4—942no—
1332C4⋊C4—942no—
1333C4⋊C4—942no—
1334C4⋊C4—1881no—
1335C4⋊C4—1881no—
1336C4⋊C4—1881no—
1337C4⋊C4—1881no—
1338C4⋊C4—1881no—
1339C4⋊C4—1881no—
1340C4⋊C4—1881no—
1341C4⋊C4—1881no—
1342C4⋊C4—1881no—
1343C4⋊C4—1881no—
1344C4⋊C4—1881no—
1345C22⋊C4—22no—
1346C22⋊C4—22no—
1347C22⋊C4—22no—
1348C22⋊C4—22no—
1349C22⋊C4—22no—
1350C22⋊C4—22no—
1351C22⋊C4—22no—
1352C22⋊C4—22no—
1353C22⋊C4—22no—
1354C22⋊C4—22no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—474no—
1361C22⋊C4—474no—
1362C22⋊C4—474no—
1363C22⋊C4—474no—
1364C22⋊C4—942no—
1365C22⋊C4—942no—
1366C22⋊C4—942no—
1367C22⋊C4—942no—
1368C22⋊C4—942no—
1369C22⋊C4—942no—
1370C22⋊C4—942no—
1371C22⋊C4—942no—
1372C22⋊C4—942no—
1373C22⋊C4—942no—
1374C22⋊C4—942no—
1375C22⋊C4—942no—
1376C22⋊C4—942no—
1377C22⋊C4—942no—
1378C22⋊C4—942no—
1379C22⋊C4—942no—
1380C22⋊C4—1881no—
1381C22⋊C4—1881no—
1382C22⋊C4—1881no—
1383C22⋊C4—1881no—
1384C22⋊C4—1881no—
1385C22⋊C4—1881no—
1386C22⋊C4—1881no—
1387C22⋊C4—1881no—
1388C22⋊C4—1881no—
1389C22⋊C4—1881no—
1390C22⋊C4—1881no—
1391C42—942no—
1392C42—942no—
1393C42—942no—
1394C42—942no—
1395C42—1881no—
1396C42—1881no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—28no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—44no—
1422C23—44no—
1423C23—82no—
1424C23—82no—
1425C23—82no—
1426C23—82no—
1427C23—941no—
1428C23—941no—
1429C23—941no—
1430C23—941no—
1431C23—941no—
1432C23—941no—
1433C23—941no—
1434C23C2×D4×D4712yes—
1435C23C2×D4×D4712yes—
1436C23C2×D4×D4712yes—
1437C23#1309407112yes—
1438C23#1309407112yes—
1439C23C24×D4711yescharacteristic
1440Q8—3762no—
1441Q8—3762no—
1442Q8—3762no—
1443Q8—3762no—
1444Q8—3762no—
1445D4—44no—
1446D4—82no—
1447D4—82no—
1448D4—3762no—
1449D4—3762no—
1450D4—3762no—
1451D4—1884no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—44no—
1485C2×C4—82no—
1486C2×C4—82no—
1487C2×C4—82no—
1488C2×C4—472no—
1489C2×C4—472no—
1490C2×C4—472no—
1491C2×C4—472no—
1492C2×C4—472no—
1493C2×C4—941no—
1494C2×C4—941no—
1495C2×C4—941no—
1496C2×C4—941no—
1497C2×C4—941no—
1498C2×C4—941no—
1499C2×C4—941no—
1500C2×C4—941no—
1501C2×C4—941no—
1502C2×C4—941no—
1503C2×C4—941no—
1504C2×C4—941no—
1505C2×C4—941no—
1506C2×C4—941no—
1507C2×C4—941no—
1508C2×C4—941no—
1509C2×C4—941no—
1510C2×C4—941no—
1511C2×C4—941no—
1512C2×C4—941no—
1513C2×C4—941no—
1514C2×C4—941no—
1515C2×C4—941no—
1516C2×C4—941no—
1517C2×C4—941no—
1518C2×C4—941no—
1519C2×C4—941no—
1520C2×C4—941no—
1521C2×C4—941no—
1522C2×C4—941no—
1523C2×C4—941no—
1524C2×C4—941no—
1525C2×C4—941no—
1526C2×C4—941no—
1527C2×C4—941no—
1528C2×C4—941no—
1529C2×C4—941no—
1530C2×C4—941no—
1531C2×C4—941no—
1532C2×C4—941no—
1533C2×C4—3762no—
1534C2×C4—3762no—
1535C2×C4—3762no—
1536C2×C4—3762no—
1537C2×C4—3762no—
1538C2×C4—1884no—
1539C2×C4—1884no—
1540C2×C4—1884no—
1541C2×C4#1309406912yes—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—88no—
1570C22—1881no—
1571C22—1881no—
1572C22—1881no—
1573C22—1881no—
1574C22—1881no—
1575C22—1881no—
1576C22—1881no—
1577C22#1568969514yes—
1578C22C22×D4×D4711yescharacteristic
1579C22H(5,𝔽2)×D4711yescharacteristic
1580C22C2×#1309406911yescharacteristic
1581C22C2×#1309407111yescharacteristic
1582C22C2×#1309407111yescharacteristic
1583C22#1568995811yescharacteristic
1584C22#1568995911yescharacteristic
1585C4—22no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—942no—
1597C4—942no—
1598C4—942no—
1599C4—942no—
1600C4—942no—
1601C4—1881no—
1602C4—1881no—
1603C4—1881no—
1604C4—1881no—
1605C4—1881no—
1606C4—1881no—
1607C4—1881no—
1608C4—1881no—
1609C4—1881no—
1610C4—1881no—
1611C2—24no—
1612C2—42no—
1613C2—42no—
1614C2—81no—
1615C2—3761no—
1616C2C2×#1568969511yescharacteristic
1617C2#2025714511yescharacteristic
1618C2#2025714911yescharacteristic
1619C2#2025758411yescharacteristic
1620C2#2025760311yescharacteristic
1621C2#2025794711yescharacteristic
1622C2#2025800011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2412C2
prime radicalC2×#15689708C2
hypercenter#2412D47
hypocenterC47#36740
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2412

Complements

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

NH ≅ G/Ntype
1. C2×#15689749C2semidirect
3. #20251738C2semidirect
4. #20251685C2semidirect
5. #20249992C2semidirect
6. #20249986C2semidirect
7. #20249968C2semidirect
8. #20249962C2semidirect
9. #20249843C2semidirect
10. #20249841C2semidirect
11. #20249813C2semidirect
12. #20249811C2semidirect
13. #20249746C2semidirect
14. #20249740C2semidirect
15. #20249725C2semidirect
16. #20249724C2semidirect
17. #20249673C2semidirect
18. #20249671C2semidirect
19. #20249643C2semidirect
20. #20249641C2semidirect
21. #20249505C2semidirect
22. #20249318C2semidirect
23. #20248572C2semidirect
24. #20248566C2semidirect
25. #20246838C2semidirect
26. #20246836C2semidirect
27. #20246785C2semidirect
28. #20246784C2semidirect
29. #20246778C2semidirect
30. C2×#15689017C2semidirect
31. C47×#2412C2semidirect
34. C2×#13094023C22semidirect
39. C2×#13094010C22semidirect
49. C2×#13094002C22semidirect
59. C2×#13094001C22semidirect
71. #15689065C22semidirect
72. #15689065C22semidirect
73. #15689064C22semidirect
74. #15689064C22semidirect
75. #15689059C22semidirect
76. #15689058C22semidirect
77. #15689057C22semidirect
78. #15689057C22semidirect
79. #15689057C22semidirect
80. #15689057C22semidirect
81. #15689056C22semidirect
82. #15689056C22semidirect
83. #15689055C22semidirect
84. #15689054C22semidirect
85. #15689052C22semidirect
90. #15689051C22semidirect
93. #15689047C22semidirect
94. #15689046C22semidirect
95. #15689046C22semidirect
96. #15689045C22semidirect
97. #15689044C22semidirect
98. #15689044C22semidirect
99. #15689044C22semidirect
100. #15689043C22semidirect
101. #15689043C22semidirect
102. #15689043C22semidirect
105. #15689039C22semidirect
108. #15689038C22semidirect
111. #15689036C22semidirect
112. #15689036C22semidirect
113. #15689035C22semidirect
114. #15689035C22semidirect
115. #15689027C22semidirect
116. #15689027C22semidirect
117. #15689027C22semidirect
118. #15689027C22semidirect
119. #15689027C22semidirect
120. #15689023C22semidirect
121. #15689022C22semidirect
122. #15689020C22semidirect
123. #15689020C22semidirect
124. #15689020C22semidirect
125. #15689019C22semidirect
126. #15689018C22semidirect
135. #15689016C22semidirect
136. #15689015C22semidirect
137. #15689012C22semidirect
138. #15689011C22semidirect
139. #15689010C22semidirect
140. #15689009C22semidirect
141. #15689006C22semidirect
142. #15689005C22semidirect
153. #15688998C22semidirect
154. #15688997C22semidirect
157. #15688995C22semidirect
158. #15688994C22semidirect
159. #15688992C22semidirect
160. #15688987C22semidirect
166. #15688982C22semidirect
171. #15688981C22semidirect
829. #2412D47semidirect
1000. C47#36740semidirect

Maximal subgroups

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

subgroupindex
C2×#156897492
C2×#156897082
#202517382
#202516852
#202499922
#202499862
#202499682
#202499622
#202498432
#202498412
#202498132
#202498112
#202497462
#202497402
#202497252
#202497242
#202496732
#202496712
#202496432
#202496412
#202495052
#202493182
#202485722
#202485662
#202468382
#202468362
#202467852
#202467842
#202467782
C2×#156890172
C47×#24122
#3674047