Finite Group Databasebeta

← #26423150

Subgroups — #26423150

Order 12032.

2440 conjugacy classes of subgroups.

The subgroup lattice has 1676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689742C211yesmaximal, characteristic, complemented
2C2×#15689629C211yesmaximal, characteristic, complemented
3#20251682C211yesmaximal, characteristic, complemented
4#20251673C211yesmaximal, characteristic, complemented
5#20249945C211yesmaximal, characteristic, complemented
6#20249918C211yesmaximal, characteristic, complemented
7#20249889C211yesmaximal, characteristic, complemented
8#20249862C211yesmaximal, characteristic, complemented
9#20249841C211yesmaximal, characteristic, complemented
10#20249788C211yesmaximal, characteristic, complemented
11#20249779C211yesmaximal, characteristic, complemented
12#20249700C211yesmaximal, characteristic, complemented
13#20249690C211yesmaximal, characteristic, complemented
14#20249675C211yesmaximal, characteristic, complemented
15#20249667C211yesmaximal, characteristic, complemented
16#20249641C211yesmaximal, characteristic, complemented
17#20249622C211yesmaximal, characteristic, complemented
18#20249614C211yesmaximal, characteristic, complemented
19#20249592C211yesmaximal, characteristic, complemented
20#20249307C211yesmaximal, characteristic, complemented
21#20249230C211yesmaximal, characteristic, complemented
22#20249063C211yesmaximal, characteristic, complemented
23#20249001C211yesmaximal, characteristic, complemented
24#20248958C211yesmaximal, characteristic, complemented
25#20248952C211yesmaximal, characteristic, complemented
26#20248741C211yesmaximal, characteristic, complemented
27#20248572C211yesmaximal, characteristic, complemented
28#20247011C211yesmaximal, characteristic, complemented
29#20246996C211yesmaximal, characteristic, complemented
30#20246014C211yesmaximal, characteristic, complemented
31C47×#2684C211yesmaximal, characteristic, complemented
32C22×#10625352C2211yescharacteristic
33C24×Dic47C2211yescharacteristic
34#15689742—28no—
35C2×#13094024C2211yescharacteristic, complemented
36C2×#13094023C2211yescharacteristic, complemented
37C2×#13094017C2211yescharacteristic
38C2×#13094017C2211yescharacteristic, complemented
39C2×#13094010C2211yescharacteristic
40C2×#13094010C2211yescharacteristic
41C2×#13094010C2211yescharacteristic, complemented
42#15689629—28no—
43C2×#13094008C2211yescharacteristic
44C2×#13094008C2211yescharacteristic
45C2×#13094008C2211yescharacteristic
46C2×#13094008C2211yescharacteristic, complemented
47C2×#13094005C2211yescharacteristic
48C2×#13094001C2211yescharacteristic
49C2×#13094001C2211yescharacteristic
50C2×#13094001C2211yescharacteristic
51C2×#13094001C2211yescharacteristic
52C2×#13094001C2211yescharacteristic
53C2×#13094001C2211yescharacteristic, complemented
54C2×#13094000C2211yescharacteristic, complemented
55C2×#13093998C2211yescharacteristic, complemented
56C2×#13093996C2211yescharacteristic
57C2×#13093996C2211yescharacteristic
58C2×#13093996C2211yescharacteristic
59C2×#13093995C2211yescharacteristic
60C2×#13093993C2211yescharacteristic
61C2×#13093993C2211yescharacteristic
62C2×Q8×Dic47C2211yescharacteristic, complemented
63C2×D4×Dic47C2211yescharacteristic
64C2×D4×Dic47C2211yescharacteristic
65C2×(C22⋊D47)⋊C4C2211yescharacteristic
66C2×(C22⋊D47)⋊C4C2211yescharacteristic
67C2×#13093981C2211yescharacteristic, complemented
68C2×#13093980C2211yescharacteristic
69#15689065C2211yescharacteristic, complemented
70#15689064C2211yescharacteristic, complemented
71#15689060C2211yescharacteristic, complemented
72#15689059C2211yescharacteristic
73#15689059C2211yescharacteristic
74#15689058C2211yescharacteristic, complemented
75#15689057C2211yescharacteristic, complemented
76#15689057C2211yescharacteristic, complemented
77#15689055C2211yescharacteristic, complemented
78#15689054C2211yescharacteristic, complemented
79#15689052C2211yescharacteristic, complemented
80#15689051C2211yescharacteristic
81#15689051C2211yescharacteristic, complemented
82#15689048C2211yescharacteristic
83#15689047C2211yescharacteristic, complemented
84#15689047C2211yescharacteristic, complemented
85#15689046C2211yescharacteristic
86#15689045C2211yescharacteristic, complemented
87#15689044C2211yescharacteristic, complemented
88#15689044C2211yescharacteristic, complemented
89#15689043C2211yescharacteristic, complemented
90#15689042C2211yescharacteristic, complemented
91#15689041C2211yescharacteristic, complemented
92#15689039C2211yescharacteristic
93#15689039C2211yescharacteristic
94#15689039C2211yescharacteristic, complemented
95#15689039C2211yescharacteristic, complemented
96#15689038C2211yescharacteristic
97#15689038C2211yescharacteristic
98#15689038C2211yescharacteristic
99#15689038C2211yescharacteristic
100#15689038C2211yescharacteristic
101#15689038C2211yescharacteristic, complemented
102#15689037C2211yescharacteristic
103#15689036C2211yescharacteristic, complemented
104#15689036C2211yescharacteristic, complemented
105#15689035C2211yescharacteristic
106#15689034C2211yescharacteristic, complemented
107#15689032C2211yescharacteristic
108#15689032C2211yescharacteristic
109#15689032C2211yescharacteristic
110#15689031C2211yescharacteristic
111#15689027C2211yescharacteristic, complemented
112#15689023C2211yescharacteristic
113#15689023C2211yescharacteristic
114#15689023C2211yescharacteristic
115#15689023C2211yescharacteristic
116#15689022C2211yescharacteristic, complemented
117#15689020C2211yescharacteristic, complemented
118#15689020C2211yescharacteristic, complemented
119#15689017C2211yescharacteristic
120#15689017C2211yescharacteristic
121#15689017C2211yescharacteristic
122#15689016C2211yescharacteristic
123#15689015C2211yescharacteristic, complemented
124#15689014C2211yescharacteristic, complemented
125#15689013C2211yescharacteristic, complemented
126#15689011C2211yescharacteristic
127#15689010C2211yescharacteristic, complemented
128#15689010C2211yescharacteristic, complemented
129#15689008C2211yescharacteristic, complemented
130#15689007C2211yescharacteristic, complemented
131#15689006C2211yescharacteristic, complemented
132#15689006C2211yescharacteristic, complemented
133#15689006C2211yescharacteristic, complemented
134#15689006C2211yescharacteristic, complemented
135#15689003C2211yescharacteristic
136#15689003C2211yescharacteristic
137#15689001C2211yescharacteristic, complemented
138#15689001C2211yescharacteristic, complemented
139#15689000C2211yescharacteristic
140#15689000C2211yescharacteristic
141#15689000C2211yescharacteristic
142#15689000C2211yescharacteristic
143#15689000C2211yescharacteristic, complemented
144#15688999C2211yescharacteristic
145#15688999C2211yescharacteristic
146#15688998C2211yescharacteristic
147#15688998C2211yescharacteristic
148#15688998C2211yescharacteristic
149#15688998C2211yescharacteristic
150#15688998C2211yescharacteristic
151#15688998C2211yescharacteristic
152#15688998C2211yescharacteristic
153#15688997C2211yescharacteristic, complemented
154#15688997C2211yescharacteristic, complemented
155#15688997C2211yescharacteristic, complemented
156#15688996C2211yescharacteristic, complemented
157#15688995C2211yescharacteristic
158#15688995C2211yescharacteristic
159#15688995C2211yescharacteristic
160#15688995C2211yescharacteristic, complemented
161#15688994C2211yescharacteristic, complemented
162#15688990C2211yescharacteristic, complemented
163#15688987C2211yescharacteristic, complemented
164#15688984C2211yescharacteristic
165#15688984C2211yescharacteristic
166#15688983C2211yescharacteristic, complemented
167#15688981C2211yescharacteristic
168#15688981C2211yescharacteristic
169#15688981C2211yescharacteristic
170#15688981C2211yescharacteristic, complemented
171#15688979C2211yescharacteristic
172C22⋊C4×Dic47C2211yescharacteristic, complemented
173C2×C47⋊#95C2211yescharacteristic, complemented
174C2×#124×C47C2211yescharacteristic
175C2×#120×C47C2211yescharacteristic
176C47×#397C2211yescharacteristic
177C47×#397C2211yescharacteristic
178C47×#394C2211yescharacteristic
179C47×#394C2211yescharacteristic
180C47×#393C2211yescharacteristic
181C47×#393C2211yescharacteristic
182C47×#388C2211yescharacteristic
183C47×#388C2211yescharacteristic
184C47×#386C2211yescharacteristic
185C47×#386C2211yescharacteristic
186C47×#386C2211yescharacteristic
187C47×#379C2211yescharacteristic
188C47×#379C2211yescharacteristic
189C2×#10625352—24no—
190C2×#10625352—42no—
191C2×#10625352—42no—
192C22×Dic94C2311yescharacteristic
193C22×Dic94C2311yescharacteristic
194C22×Dic94C2311yescharacteristic
195C22×D188C2311yescharacteristic
196C22×C22⋊D47C2311yescharacteristic
197C22×C22⋊D47C2311yescharacteristic
198C22×C22⋊D47C2311yescharacteristic
199C22×C22⋊D47C2311yescharacteristic
200C22×C22⋊D47C2311yescharacteristic
201C22×C22⋊D47C2311yescharacteristic
202C22×C22⋊D47C2311yescharacteristic
203C22×C22⋊D47C2311yescharacteristic
204C23×Dic47—24no—
205C23×Dic47—42no—
206C23×Dic47—42no—
207C23×Dic47C2311yescharacteristic
208C23×Dic47C2311yescharacteristic
209C23×Dic47C2311yescharacteristic
210C23×Dic47C2311yescharacteristic
211C23×Dic47C2311yescharacteristic
212C23×Dic47C2311yescharacteristic
213C23×Dic47C2311yescharacteristic
214C23×Dic47C2311yescharacteristic
215C22×C4×D47C2311yescharacteristic
216C22×C4×D47C2311yescharacteristic
217#13094024—24no—
218#13094023—42no—
219#13094017—24no—
220#13094017—24no—
221#13094010—24no—
222#13094010—24no—
223#13094010—42no—
224#13094008—24no—
225#13094008—24no—
226#13094008—24no—
227#13094008—42no—
228#13094005—24no—
229#13094001—24no—
230#13094001—24no—
231#13094001—24no—
232#13094001—24no—
233#13094001—42no—
234#13094001—42no—
235#13094000—24no—
236#13093998—42no—
237#13093996—24no—
238#13093996—24no—
239#13093996—42no—
240#13093995—24no—
241#13093993—24no—
242#13093993—42no—
243Q8×Dic47—24no—
244D4×Dic47—24no—
245D4×Dic47D418yescomplemented
246(C22⋊D47)⋊C4—24no—
247(C22⋊D47)⋊C4—24no—
248#13093981—24no—
249#13093980—24no—
250C2×C4⋊Dic47C2311yescharacteristic
251C2×C4⋊Dic47C2311yescharacteristic
252C2×C4⋊Dic47C2311yescharacteristic
253C2×C4⋊Dic47C2311yescharacteristic
254C2×C4⋊Dic47C2311yescharacteristic
255C2×C4⋊Dic47C2311yescharacteristic
256C2×C4⋊Dic47C2311yescharacteristic
257C2×C4⋊Dic47C2311yescharacteristic
258C2×C4⋊Dic47C2311yescharacteristic
259C2×C4⋊Dic47C2311yescharacteristic
260C2×C4⋊Dic47C2311yescharacteristic
261C2×C4⋊Dic47C2311yescharacteristic
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×Dic47⋊C4C2311yescharacteristic
274C2×Dic47⋊C4C2311yescharacteristic
275C2×Dic47⋊C4C2311yescharacteristic
276C2×Dic47⋊C4C2311yescharacteristic
277C2×Dic47⋊C4C2311yescharacteristic
278C2×Dic47⋊C4C2311yescharacteristic
279C2×Dic47⋊C4C2311yescharacteristic
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×(C2×D47)⋊C4C2311yescharacteristic
297C2×(C2×D47)⋊C4C2311yescharacteristic
298C2×(C2×D47)⋊C4C2311yescharacteristic
299C2×(C2×D47)⋊C4C2311yescharacteristic
300C2×(C2×D47)⋊C4C2311yescharacteristic
301C2×(C2×D47)⋊C4C2311yescharacteristic
302C2×(C2×D47)⋊C4C2311yescharacteristic
303C2×(C2×D47)⋊C4C2311yescharacteristic
304C2×(C2×D47)⋊C4C2311yescharacteristic
305C2×(C2×D47)⋊C4C2311yescharacteristic
306C2×(C2×D47)⋊C4C2311yescharacteristic
307C2×(C2×D47)⋊C4C2311yescharacteristic
308C2×(C2×D47)⋊C4C2311yescharacteristic
309C2×(C2×D47)⋊C4C2311yescharacteristic
310C2×(C2×D47)⋊C4C2311yescharacteristic
311C2×(C2×D47)⋊C4C2311yescharacteristic
312C2×(C2×D47)⋊C4C2311yescharacteristic
313C2×(C2×D47)⋊C4C2311yescharacteristic
314C2×C4×Dic47C2311yescharacteristic
315C2×C4×Dic47C2311yescharacteristic
316C2×C4×Dic47C2311yescharacteristic
317C2×C4×Dic47C2311yescharacteristic
318C2×C4×Dic47C2311yescharacteristic
319C2×C4×Dic47C2311yescharacteristic
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
346C47⋊#95C2311yescharacteristic
347C47⋊#95C2311yescharacteristic
348C25×C47C2311yescharacteristic
349C22×Q8×C47C2311yescharacteristic
350C22×D4×C47C2311yescharacteristic
351C22×D4×C47C2311yescharacteristic
352C22×D4×C47C2311yescharacteristic
353C23×C4×C47C2311yescharacteristic
354#124×C47—24no—
355#120×C47—24no—
356C2×C4⋊C4×C47C2311yescharacteristic
357C2×C4⋊C4×C47C2311yescharacteristic
358C2×C22⋊C4×C47C2311yescharacteristic
359C2×C22⋊C4×C47C2311yescharacteristic
360C2×C22⋊C4×C47C2311yescharacteristic
361C2×C22⋊C4×C47C2311yescharacteristic
362C2×C22⋊C4×C47C2311yescharacteristic
363C2×C22⋊C4×C47C2311yescharacteristic
364C2×C22⋊C4×C47C2311yescharacteristic
365C2×C22⋊C4×C47C2311yescharacteristic
366C2×C22⋊C4×C47C2311yescharacteristic
367C2×C22⋊C4×C47C2311yescharacteristic
368C2×C22⋊C4×C47C2311yescharacteristic
369C2×C22⋊C4×C47C2311yescharacteristic
370C2×C22⋊C4×C47C2311yescharacteristic
371C2×C22⋊C4×C47C2311yescharacteristic
372C2×C22⋊C4×C47C2311yescharacteristic
373C2×C22⋊C4×C47C2311yescharacteristic
374C2×C22⋊C4×C47C2311yescharacteristic
375C2×C22⋊C4×C47C2311yescharacteristic
376C2×C42×C47C2311yescharacteristic
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—22no—
388C24×C47—41no—
389C24×C47—41no—
390C24×C47—41no—
391C24×C47—41no—
392C24×C47C2411yescharacteristic
393C24×C47C2411yescharacteristic
394C24×C47C2411yescharacteristic
395C24×C47C2411yescharacteristic
396C23×D47C2411yescharacteristic
397C23×D47C2411yescharacteristic
398C2×Q8×C47—22no—
399C2×Q8×C47—41no—
400C2×Q8×C47—41no—
401C2×D4×C47—22no—
402C2×D4×C47—22no—
403C2×D4×C47—22no—
404C2×D4×C47—22no—
405C2×D4×C47—41no—
406C2×D4×C47—41no—
407C2×D4×C47—41no—
408C2×D4×C47—41no—
409C2×D4×C47C2×D414yes—
410C22×C4×C47—41no—
411C22×C4×C47—41no—
412C22×C4×C47—41no—
413C22×C4×C47C2411yescharacteristic
414C22×C4×C47C2411yescharacteristic
415C22×C4×C47C2411yescharacteristic
416C22×C4×C47C2411yescharacteristic
417C22×C4×C47C2411yescharacteristic
418C22×C4×C47C2411yescharacteristic
419C22×C4×C47C2411yescharacteristic
420C22×C4×C47C2411yescharacteristic
421C22×C4×C47C2411yescharacteristic
422C22×C4×C47C2411yescharacteristic
423C22×C4×C47C2411yescharacteristic
424C2×C22⋊D47—22no—
425C2×C22⋊D47—22no—
426C2×C22⋊D47—22no—
427C2×C22⋊D47—22no—
428C2×C22⋊D47—22no—
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—
441C2×C22⋊D47—41no—
442C2×C22⋊D47—41no—
443C2×C22⋊D47—41no—
444C2×C22⋊D47—41no—
445C2×C22⋊D47—41no—
446C2×C22⋊D47—41no—
447C2×C22⋊D47—41no—
448C22×Dic47—22no—
449C22×Dic47—22no—
450C22×Dic47—22no—
451C22×Dic47—22no—
452C22×Dic47—22no—
453C22×Dic47—22no—
454C22×Dic47—22no—
455C22×Dic47—22no—
456C22×Dic47—22no—
457C22×Dic47—22no—
458C22×Dic47—41no—
459C22×Dic47—41no—
460C22×Dic47—41no—
461C22×Dic47—41no—
462C22×Dic47—41no—
463C22×Dic47—41no—
464C22×Dic47—41no—
465C22×Dic47—41no—
466C22×Dic47—41no—
467C22×Dic47—41no—
468C22×Dic47—41no—
469C22×Dic47—41no—
470C22×Dic47—416no—
471C22×Dic47C2×D414yes—
472C22×Dic47C2×D414yes—
473C22×Dic47C2411yescharacteristic
474C22×Dic47C2411yescharacteristic
475C22×Dic47C2411yescharacteristic
476C22×Dic47C2411yescharacteristic
477C22×Dic47C2411yescharacteristic
478C22×Dic47C2411yescharacteristic
479C22×Dic47C2411yescharacteristic
480C22×Dic47C2411yescharacteristic
481C22×Dic47C2411yescharacteristic
482C22×Dic47C2411yescharacteristic
483C22×Dic47C2411yescharacteristic
484C22×Dic47C2411yescharacteristic
485C22×Dic47C2411yescharacteristic
486C22×Dic47C2411yescharacteristic
487#10625352—416no—
488C2×D188—41no—
489C2×D188—41no—
490C2×D188—41no—
491C2×C4×D47—22no—
492C2×C4×D47—22no—
493C2×C4×D47—41no—
494C2×C4×D47—41no—
495C2×C4×D47—41no—
496C2×C4×D47—41no—
497C2×Dic94—22no—
498C2×Dic94—22no—
499C2×Dic94—22no—
500C2×Dic94—22no—
501C2×Dic94—41no—
502C2×Dic94—41no—
503C2×Dic94—41no—
504C2×Dic94—41no—
505C2×Dic94—41no—
506C4⋊C4×C47—41no—
507C4⋊C4×C47—41no—
508C22⋊C4×C47—22no—
509C22⋊C4×C47—22no—
510C22⋊C4×C47—22no—
511C22⋊C4×C47—22no—
512C22⋊C4×C47—22no—
513C22⋊C4×C47—22no—
514C22⋊C4×C47—22no—
515C22⋊C4×C47—22no—
516C22⋊C4×C47—22no—
517C22⋊C4×C47—41no—
518C22⋊C4×C47—41no—
519C22⋊C4×C47—41no—
520C22⋊C4×C47—41no—
521C22⋊C4×C47—41no—
522C22⋊C4×C47—41no—
523C22⋊C4×C47—41no—
524C22⋊C4×C47—41no—
525C22⋊C4×C47—41no—
526C42×C47—22no—
527C22⋊Dic47—22no—
528C22⋊Dic47—22no—
529C22⋊Dic47—22no—
530C22⋊Dic47—22no—
531C22⋊Dic47—22no—
532C22⋊Dic47—22no—
533C22⋊Dic47—22no—
534C22⋊Dic47—41no—
535C22⋊Dic47—41no—
536C22⋊Dic47—41no—
537C22⋊Dic47—41no—
538C22⋊Dic47—41no—
539C22⋊Dic47—41no—
540C22⋊Dic47—41no—
541C22⋊Dic47C2×D414yes—
542C22⋊Dic47C2×D414yes—
543(C2×D47)⋊C4—22no—
544(C2×D47)⋊C4—22no—
545(C2×D47)⋊C4—22no—
546(C2×D47)⋊C4—22no—
547(C2×D47)⋊C4—22no—
548(C2×D47)⋊C4—22no—
549(C2×D47)⋊C4—22no—
550(C2×D47)⋊C4—41no—
551(C2×D47)⋊C4—41no—
552(C2×D47)⋊C4—41no—
553(C2×D47)⋊C4—41no—
554(C2×D47)⋊C4—41no—
555(C2×D47)⋊C4—41no—
556(C2×D47)⋊C4—41no—
557(C2×D47)⋊C4—41no—
558(C2×D47)⋊C4—41no—
559(C2×D47)⋊C4—41no—
560(C2×D47)⋊C4—41no—
561C4⋊Dic47—22no—
562C4⋊Dic47—22no—
563C4⋊Dic47—22no—
564C4⋊Dic47—22no—
565C4⋊Dic47—22no—
566C4⋊Dic47—22no—
567C4⋊Dic47—22no—
568C4⋊Dic47—22no—
569C4⋊Dic47—41no—
570C4⋊Dic47—41no—
571C4⋊Dic47—41no—
572C4⋊Dic47C2×D414yes—
573Dic47⋊C4—22no—
574Dic47⋊C4—22no—
575Dic47⋊C4—22no—
576Dic47⋊C4—22no—
577Dic47⋊C4—22no—
578Dic47⋊C4—22no—
579Dic47⋊C4—22no—
580Dic47⋊C4—22no—
581Dic47⋊C4—22no—
582Dic47⋊C4—41no—
583Dic47⋊C4—41no—
584Dic47⋊C4—41no—
585Dic47⋊C4—41no—
586Dic47⋊C4—41no—
587Dic47⋊C4—41no—
588Dic47⋊C4—41no—
589Dic47⋊C4—41no—
590Dic47⋊C4—41no—
591C4×Dic47—22no—
592C4×Dic47—22no—
593C4×Dic47—22no—
594C4×Dic47—41no—
595C4×Dic47—41no—
596C4×Dic47C2×D414yes—
597C23×C47—21no—
598C23×C47—21no—
599C23×C47—21no—
600C23×C47—21no—
601C23×C47—21no—
602C23×C47—21no—
603C23×C47—21no—
604C23×C47—21no—
605C23×C47—21no—
606C23×C47—21no—
607C23×C47—21no—
608C23×C47—21no—
609C23×C47—21no—
610C23×C47—21no—
611C23×C47—21no—
612C23×C47—21no—
613C23×C47—21no—
614C23×C47—21no—
615C23×C47—21no—
616C23×C47—21no—
617C23×C47—21no—
618C23×C47—21no—
619C23×C47—21no—
620C23×C47—21no—
621C23×C47—44no—
622C23×C47—44no—
623C23×C47—44no—
624C23×C47—44no—
625C23×C47—44no—
626C23×C47—44no—
627C23×C47—44no—
628C23×C47C22×D412yes—
629C23×C47C22×D412yes—
630C23×C47H(5,𝔽2)12yes—
631C23×C472−1+412yes—
632C23×C47C2511yescharacteristic
633C22×D47—21no—
634C22×D47—21no—
635C22×D47—21no—
636C22×D47—21no—
637C22×D47—21no—
638C22×D47—21no—
639C22×D47—21no—
640C22×D47—21no—
641C22×D47—21no—
642C22×D47—21no—
643C22×D47—21no—
644C22×D47—21no—
645C22×D47—21no—
646C22×D47—21no—
647Q8×C47—44no—
648D4×C47—44no—
649D4×C47—44no—
650D4×C47—44no—
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—21no—
664C2×C4×C47—21no—
665C2×C4×C47—21no—
666C2×C4×C47—21no—
667C2×C4×C47—21no—
668C2×C4×C47—21no—
669C2×C4×C47—21no—
670C2×C4×C47—21no—
671C2×C4×C47—21no—
672C2×C4×C47—21no—
673C2×C4×C47—21no—
674C2×C4×C47—21no—
675C2×C4×C47—21no—
676C2×C4×C47—21no—
677C2×C4×C47—21no—
678C2×C4×C47—21no—
679C2×C4×C47—21no—
680C2×C4×C47—21no—
681C2×C4×C47—21no—
682C2×C4×C47—21no—
683C2×C4×C47—82no—
684C2×C4×C47C22×D412yes—
685C22⋊D47—44no—
686C22⋊D47—44no—
687C22⋊D47—44no—
688C22⋊D47—44no—
689C22⋊D47—82no—
690C22⋊D47—82no—
691C22⋊D47—82no—
692C22⋊D47—82no—
693C2×Dic47—28no—
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—21no—
713C2×Dic47—21no—
714C2×Dic47—21no—
715C2×Dic47—21no—
716C2×Dic47—21no—
717C2×Dic47—21no—
718C2×Dic47—21no—
719C2×Dic47—21no—
720C2×Dic47—21no—
721C2×Dic47—21no—
722C2×Dic47—21no—
723C2×Dic47—21no—
724C2×Dic47—21no—
725C2×Dic47—21no—
726C2×Dic47—21no—
727C2×Dic47—21no—
728C2×Dic47—21no—
729C2×Dic47—21no—
730C2×Dic47—21no—
731C2×Dic47—44no—
732C2×Dic47—44no—
733C2×Dic47—44no—
734C2×Dic47—44no—
735C2×Dic47—44no—
736C2×Dic47—44no—
737C2×Dic47—82no—
738C2×Dic47C22×D412yes—
739C2×Dic47C22×D412yes—
740C2×Dic47C22×D412yes—
741C2×Dic47C22×D412yes—
742C2×Dic47H(5,𝔽2)12yes—
743D188—82no—
744C4×D47—44no—
745C4×D47—44no—
746Dic94—44no—
747Dic94—82no—
748Dic94—82no—
749#36712—471nomaximal, Sylow
750C22×C47—22no—
751C22×C47—22no—
752C22×C47—22no—
753C22×C47—22no—
754C22×C47—22no—
755C22×C47—22no—
756C22×C47—22no—
757C22×C47—22no—
758C22×C47—22no—
759C22×C47—22no—
760C22×C47—22no—
761C22×C47—22no—
762C22×C47—416no—
763C22×C47—41no—
764C22×C47—41no—
765C22×C47—41no—
766C22×C47—41no—
767C22×C47—41no—
768C22×C47—41no—
769C22×C47—41no—
770C22×C47—41no—
771C22×C47—41no—
772C22×C47—41no—
773C22×C47—41no—
774C22×C47—41no—
775C22×C47—41no—
776C22×C47—41no—
777C22×C47—41no—
778C22×C47—41no—
779C22×C47C23×D411yescharacteristic
780C22×C47C2×H(5,𝔽2)11yescharacteristic
781C22×C47C2×H(5,𝔽2)11yescharacteristic
782C22×C47C2×2−1+411yescharacteristic
783C22×C47#58511yescharacteristic
784C22×C47#58511yescharacteristic
785C22×C47#58511yescharacteristic
786C2×D47—41no—
787C2×D47—41no—
788C2×D47—41no—
789C2×D47—41no—
790C2×D47—41no—
791C2×D47—41no—
792C2×D47—41no—
793C2×D47—41no—
794C2×D47—41no—
795C2×D47—41no—
796C2×D47—41no—
797C2×D47—41no—
798C2×D47—41no—
799C2×D47—41no—
800C4×C47—22no—
801C4×C47—41no—
802C4×C47—41no—
803C4×C47—41no—
804C4×C47—41no—
805C4×C47—41no—
806C4×C47—41no—
807C4×C47—41no—
808C4×C47—41no—
809C4×C47—41no—
810C4×C47—41no—
811Dic47—22no—
812Dic47—22no—
813Dic47—22no—
814Dic47—22no—
815Dic47—22no—
816Dic47—41no—
817Dic47—41no—
818Dic47—41no—
819Dic47—41no—
820Dic47—41no—
821Dic47—41no—
822Dic47—41no—
823Dic47—41no—
824Dic47—41no—
825C2×#542—471no—
826C2×#525—471no—
827#2849—471no—
828#2848—471no—
829#2696—471no—
830#2695—471no—
831#2692—471no—
832#2691—471no—
833#2689—471no—
834#2686—471no—
835#2685—471no—
836#2684D4711yescharacteristic, complemented
837#2677—471no—
838#2676—471no—
839#2674—471no—
840#2674—471no—
841#2672—471no—
842#2671—471no—
843#2670—471no—
844#2668—471no—
845#2638—471no—
846#2630—471no—
847#2609—471no—
848#2602—471no—
849#2599—471no—
850#2598—471no—
851#2580—471no—
852#2564—471no—
853#2432—471no—
854#2430—471no—
855#2318—471no—
856C2×C47—42no—
857C2×C47—42no—
858C2×C47—42no—
859C2×C47—42no—
860C2×C47#344911yescharacteristic
861C2×C47#348411yescharacteristic
862C2×C47#348911yescharacteristic
863C2×C47#353311yescharacteristic
864C2×C47#353511yescharacteristic
865C2×C47#354011yescharacteristic
866C2×C47#354111yescharacteristic
867D47—81no—
868D47—81no—
869C22×#41—471no—
870C24×C4—471no—
871#542—948no—
872C2×C4⋊Q8—471no—
873C2×C4⋊Q8—471no—
874C2×#126—471no—
875C2×#126—471no—
876C2×#124—471no—
877C2×#124—471no—
878C2×#124—471no—
879C2×#124C2×D4711yescharacteristic
880#525—948no—
881C2×#123—471no—
882C2×#123—471no—
883C2×#123—471no—
884C2×#123—471no—
885C2×#123—471no—
886C2×C22⋊Q8—471no—
887C2×C22⋊Q8—471no—
888C2×C22⋊Q8—471no—
889C2×C22⋊Q8—471no—
890C2×C22⋊Q8—471no—
891C2×C22⋊Q8—471no—
892C2×C22⋊Q8—471no—
893C2×#121—471no—
894C2×#121—471no—
895C2×#121—471no—
896C2×#121—471no—
897C2×#121—471no—
898C2×#120—471no—
899C2×#120—471no—
900C2×#120C2×D4711yescharacteristic
901C2×C4×Q8—471no—
902C2×C4×D4—471no—
903C2×C4×D4—471no—
904C2×C4×D4—471no—
905C2×C4×D4—471no—
906C2×#117—471no—
907C2×#117—471no—
908#400—471no—
909#400—471no—
910#399—471no—
911#399—471no—
912#399—471no—
913#399—471no—
914#398—471no—
915#398—471no—
916#398—471no—
917#398—471no—
918#397—471no—
919#397—471no—
920#397—471no—
921#397—471no—
922#397C2×D4711yescharacteristic
923#397C2×D4711yescharacteristic
924#396—471no—
925#396—471no—
926#396—471no—
927#396—471no—
928#395—471no—
929#395—471no—
930#395—471no—
931#395—471no—
932#394—471no—
933#394—471no—
934#394—471no—
935#394—471no—
936#394—471no—
937#394—471no—
938#394—471no—
939#394—471no—
940#394—471no—
941#394—471no—
942#394—471no—
943#394—471no—
944#394C2×D4711yescharacteristic
945#394C2×D4711yescharacteristic
946#393—471no—
947#393—471no—
948#393—471no—
949#393—471no—
950#393C2×D4711yescharacteristic
951#393C2×D4711yescharacteristic
952#392—471no—
953#392—471no—
954#392—471no—
955#392—471no—
956#391—471no—
957#390—471no—
958#390—471no—
959#390—471no—
960#390—471no—
961#389—471no—
962#389—471no—
963#389—471no—
964#388—471no—
965#388—471no—
966#388—471no—
967#388—471no—
968#388—471no—
969#388—471no—
970#388—471no—
971#388—471no—
972#388C2×D4711yescharacteristic
973#388C2×D4711yescharacteristic
974#387—471no—
975#387—471no—
976#387—471no—
977#387—471no—
978#387—471no—
979#387—471no—
980#387—471no—
981#387—471no—
982#386—471no—
983#386—471no—
984#386—471no—
985#386—471no—
986#386—471no—
987#386—471no—
988#386—471no—
989#386—471no—
990#386—471no—
991#386—471no—
992#386—471no—
993#386C2×D4711yescharacteristic
994#386C2×D4711yescharacteristic
995#386C2×D4711yescharacteristic
996#385—471no—
997#385—471no—
998#385—471no—
999#385—471no—
1000#385—471no—
1001#385—471no—
1002#385—471no—
1003#385—471no—
1004#385—471no—
1005#385—471no—
1006#385—471no—
1007#385—471no—
1008#385—471no—
1009#385—471no—
1010#385—471no—
1011#385—471no—
1012#383—471no—
1013#382—471no—
1014#381—471no—
1015#381—471no—
1016#380—471no—
1017#380—471no—
1018#380—471no—
1019#380—471no—
1020#380—471no—
1021#379—471no—
1022#379C2×D4711yescharacteristic
1023#379C2×D4711yescharacteristic
1024C4×C22⋊C4—471no—
1025C2×#95—471no—
1026C47#3671211yescharacteristic, complemented, Sylow
1027C25C22×D4711yescharacteristic
1028C2×#41—944no—
1029C2×#41—1882no—
1030C2×#41—1882no—
1031C22×Q8—471no—
1032C22×Q8—471no—
1033C22×Q8—471no—
1034C22×Q8C22×D4711yescharacteristic
1035C22×D4—471no—
1036C22×D4—471no—
1037C22×D4—471no—
1038C22×D4—471no—
1039C22×D4—471no—
1040C22×D4—471no—
1041C22×D4—471no—
1042C22×D4—471no—
1043C22×D4—471no—
1044C22×D4C22×D4711yescharacteristic
1045C22×D4C22×D4711yescharacteristic
1046C22×D4C22×D4711yescharacteristic
1047C23×C4—471no—
1048C23×C4—471no—
1049C23×C4—471no—
1050C23×C4—471no—
1051C23×C4—471no—
1052C23×C4—471no—
1053C23×C4—471no—
1054C23×C4—471no—
1055C23×C4—471no—
1056C23×C4—471no—
1057C23×C4—944no—
1058C23×C4—1882no—
1059C23×C4—1882no—
1060C23×C4C22×D4711yescharacteristic
1061C4⋊Q8—944no—
1062C4⋊Q8—1882no—
1063#126—944no—
1064#126—944no—
1065#124—24no—
1066#124—944no—
1067#124—944no—
1068#124—1882no—
1069#123—944no—
1070#123—944no—
1071#123—944no—
1072#123—944no—
1073#123—1882no—
1074C22⋊Q8—944no—
1075C22⋊Q8—944no—
1076C22⋊Q8—944no—
1077C22⋊Q8—944no—
1078C22⋊Q8—944no—
1079C22⋊Q8—1882no—
1080C22⋊Q8—1882no—
1081#121—944no—
1082#121—944no—
1083#121—944no—
1084#121—1882no—
1085#121—1882no—
1086#120—24no—
1087#120—944no—
1088#120—1882no—
1089C4×Q8—944no—
1090C4×D4—478no—
1091C4×D4—944no—
1092C4×D4—944no—
1093C4×D4—944no—
1094#117—944no—
1095#117—944no—
1096C2×C4⋊C4—471no—
1097C2×C4⋊C4—471no—
1098C2×C4⋊C4—471no—
1099C2×C4⋊C4—471no—
1100C2×C4⋊C4—471no—
1101C2×C4⋊C4—471no—
1102C2×C4⋊C4—471no—
1103C2×C4⋊C4—471no—
1104C2×C4⋊C4—471no—
1105C2×C4⋊C4—471no—
1106C2×C4⋊C4—471no—
1107C2×C4⋊C4—471no—
1108C2×C4⋊C4—471no—
1109C2×C4⋊C4—471no—
1110C2×C4⋊C4—471no—
1111C2×C4⋊C4—471no—
1112C2×C4⋊C4—471no—
1113C2×C4⋊C4—471no—
1114C2×C4⋊C4—471no—
1115C2×C4⋊C4—471no—
1116C2×C4⋊C4—471no—
1117C2×C4⋊C4—471no—
1118C2×C4⋊C4—471no—
1119C2×C4⋊C4—471no—
1120C2×C4⋊C4—471no—
1121C2×C4⋊C4—471no—
1122C2×C4⋊C4—471no—
1123C2×C4⋊C4—471no—
1124C2×C4⋊C4—471no—
1125C2×C4⋊C4—471no—
1126C2×C4⋊C4C22×D4711yescharacteristic
1127C2×C4⋊C4C22×D4711yescharacteristic
1128C2×C22⋊C4—471no—
1129C2×C22⋊C4—471no—
1130C2×C22⋊C4—471no—
1131C2×C22⋊C4—471no—
1132C2×C22⋊C4—471no—
1133C2×C22⋊C4—471no—
1134C2×C22⋊C4—471no—
1135C2×C22⋊C4—471no—
1136C2×C22⋊C4—471no—
1137C2×C22⋊C4—471no—
1138C2×C22⋊C4—471no—
1139C2×C22⋊C4—471no—
1140C2×C22⋊C4—471no—
1141C2×C22⋊C4—471no—
1142C2×C22⋊C4—471no—
1143C2×C22⋊C4—471no—
1144C2×C22⋊C4—471no—
1145C2×C22⋊C4—471no—
1146C2×C22⋊C4—471no—
1147C2×C22⋊C4—471no—
1148C2×C22⋊C4—471no—
1149C2×C22⋊C4—471no—
1150C2×C22⋊C4—471no—
1151C2×C22⋊C4—471no—
1152C2×C22⋊C4—471no—
1153C2×C22⋊C4—471no—
1154C2×C22⋊C4—471no—
1155C2×C22⋊C4—471no—
1156C2×C22⋊C4—471no—
1157C2×C22⋊C4—471no—
1158C2×C22⋊C4—471no—
1159C2×C22⋊C4—471no—
1160C2×C22⋊C4—471no—
1161C2×C22⋊C4—471no—
1162C2×C22⋊C4C22×D4711yescharacteristic
1163C2×C22⋊C4C22×D4711yescharacteristic
1164C2×C22⋊C4C22×D4711yescharacteristic
1165C2×C22⋊C4C22×D4711yescharacteristic
1166C2×C22⋊C4C22×D4711yescharacteristic
1167C2×C22⋊C4C22×D4711yescharacteristic
1168C2×C22⋊C4C22×D4711yescharacteristic
1169C2×C22⋊C4C22×D4711yescharacteristic
1170C2×C22⋊C4C22×D4711yescharacteristic
1171C2×C22⋊C4C22×D4711yescharacteristic
1172C2×C22⋊C4C22×D4711yescharacteristic
1173C2×C22⋊C4C22×D4711yescharacteristic
1174C2×C22⋊C4C22×D4711yescharacteristic
1175C2×C22⋊C4C22×D4711yescharacteristic
1176C2×C22⋊C4C22×D4711yescharacteristic
1177C2×C22⋊C4C22×D4711yescharacteristic
1178C2×C22⋊C4C22×D4711yescharacteristic
1179C2×C22⋊C4C22×D4711yescharacteristic
1180C2×C42—471no—
1181C2×C42—471no—
1182C2×C42—471no—
1183C2×C42—471no—
1184C2×C42—471no—
1185C2×C42—471no—
1186C2×C42C22×D4711yescharacteristic
1187#95—471no—
1188#95—471no—
1189#95—471no—
1190#95—471no—
1191#95—471no—
1192#95—471no—
1193#95—471no—
1194#95—471no—
1195#95—471no—
1196#95—471no—
1197#95—471no—
1198#95—471no—
1199#95—471no—
1200#95—471no—
1201#95—471no—
1202#95—471no—
1203#95—471no—
1204#95—471no—
1205#95—471no—
1206#95—471no—
1207#95—471no—
1208#95—471no—
1209#95—471no—
1210#95—471no—
1211#95—471no—
1212#95—471no—
1213#95—471no—
1214#95—471no—
1215#95C22×D4711yescharacteristic
1216#95C22×D4711yescharacteristic
1217#95C22×D4711yescharacteristic
1218#95C22×D4711yescharacteristic
1219#95C22×D4711yescharacteristic
1220#95C22×D4711yescharacteristic
1221#95C22×D4711yescharacteristic
1222#95C22×D4711yescharacteristic
1223C24—22no—
1224C24—22no—
1225C24—22no—
1226C24—41no—
1227C24—41no—
1228C24—41no—
1229C24—41no—
1230C24—471no—
1231C24—471no—
1232C24C23×D4711yescharacteristic
1233C24C23×D4711yescharacteristic
1234C24C23×D4711yescharacteristic
1235C24C23×D4711yescharacteristic
1236#41—18816no—
1237C2×Q8—22no—
1238C2×Q8—41no—
1239C2×Q8—41no—
1240C2×Q8—942no—
1241C2×Q8—942no—
1242C2×Q8—942no—
1243C2×Q8—942no—
1244C2×Q8—1881no—
1245C2×Q8—1881no—
1246C2×Q8—1881no—
1247C2×Q8—1881no—
1248C2×Q8—1881no—
1249C2×D4—22no—
1250C2×D4—22no—
1251C2×D4—22no—
1252C2×D4—22no—
1253C2×D4—41no—
1254C2×D4—41no—
1255C2×D4—41no—
1256C2×D4—41no—
1257C2×D4—942no—
1258C2×D4—942no—
1259C2×D4—942no—
1260C2×D4—942no—
1261C2×D4—942no—
1262C2×D4—942no—
1263C2×D4—942no—
1264C2×D4—942no—
1265C2×D4—942no—
1266C2×D4—942no—
1267C2×D4—942no—
1268C2×D4—1881no—
1269C2×D4—1881no—
1270C2×D4—1881no—
1271C2×D4—1881no—
1272C2×D4—1881no—
1273C2×D4—1881no—
1274C2×D4—1881no—
1275C2×D4—1881no—
1276C2×D4—1881no—
1277C2×D4—1881no—
1278C2×D4—1881no—
1279C2×D4—1881no—
1280C2×D4—1881no—
1281C2×D4—1881no—
1282C2×D4—1881no—
1283C2×D4—1881no—
1284C2×D4D4×D4714yes—
1285C22×C4—41no—
1286C22×C4—41no—
1287C22×C4—41no—
1288C22×C4—471no—
1289C22×C4—471no—
1290C22×C4—471no—
1291C22×C4—471no—
1292C22×C4—471no—
1293C22×C4—474no—
1294C22×C4—474no—
1295C22×C4—471no—
1296C22×C4—471no—
1297C22×C4—471no—
1298C22×C4—471no—
1299C22×C4—471no—
1300C22×C4—471no—
1301C22×C4—471no—
1302C22×C4—471no—
1303C22×C4—471no—
1304C22×C4—942no—
1305C22×C4—942no—
1306C22×C4—942no—
1307C22×C4—942no—
1308C22×C4—942no—
1309C22×C4—942no—
1310C22×C4—942no—
1311C22×C4—942no—
1312C22×C4—942no—
1313C22×C4—942no—
1314C22×C4—942no—
1315C22×C4—942no—
1316C22×C4—1881no—
1317C22×C4—1881no—
1318C22×C4—1881no—
1319C22×C4—1881no—
1320C22×C4—1881no—
1321C22×C4—1881no—
1322C22×C4—1881no—
1323C22×C4—1881no—
1324C22×C4—1881no—
1325C22×C4—1881no—
1326C22×C4—1881no—
1327C22×C4—1881no—
1328C22×C4—1881no—
1329C22×C4—1881no—
1330C22×C4—1881no—
1331C22×C4—1881no—
1332C22×C4—18816no—
1333C22×C4C23×D4711yescharacteristic
1334C22×C4C23×D4711yescharacteristic
1335C22×C4C23×D4711yescharacteristic
1336C22×C4C23×D4711yescharacteristic
1337C22×C4C23×D4711yescharacteristic
1338C22×C4C23×D4711yescharacteristic
1339C22×C4C23×D4711yescharacteristic
1340C22×C4C23×D4711yescharacteristic
1341C22×C4C23×D4711yescharacteristic
1342C22×C4C23×D4711yescharacteristic
1343C22×C4C23×D4711yescharacteristic
1344C4⋊C4—41no—
1345C4⋊C4—41no—
1346C4⋊C4—474no—
1347C4⋊C4—942no—
1348C4⋊C4—942no—
1349C4⋊C4—942no—
1350C4⋊C4—942no—
1351C4⋊C4—942no—
1352C4⋊C4—942no—
1353C4⋊C4—942no—
1354C4⋊C4—942no—
1355C4⋊C4—942no—
1356C4⋊C4—942no—
1357C4⋊C4—942no—
1358C4⋊C4—942no—
1359C4⋊C4—942no—
1360C4⋊C4—942no—
1361C4⋊C4—942no—
1362C4⋊C4—942no—
1363C4⋊C4—942no—
1364C4⋊C4—1881no—
1365C4⋊C4—1881no—
1366C4⋊C4—1881no—
1367C4⋊C4—1881no—
1368C4⋊C4—1881no—
1369C4⋊C4—1881no—
1370C4⋊C4—1881no—
1371C4⋊C4—1881no—
1372C4⋊C4—1881no—
1373C4⋊C4—1881no—
1374C4⋊C4—1881no—
1375C4⋊C4—1881no—
1376C22⋊C4—22no—
1377C22⋊C4—22no—
1378C22⋊C4—22no—
1379C22⋊C4—22no—
1380C22⋊C4—22no—
1381C22⋊C4—22no—
1382C22⋊C4—22no—
1383C22⋊C4—22no—
1384C22⋊C4—22no—
1385C22⋊C4—41no—
1386C22⋊C4—41no—
1387C22⋊C4—41no—
1388C22⋊C4—41no—
1389C22⋊C4—41no—
1390C22⋊C4—41no—
1391C22⋊C4—41no—
1392C22⋊C4—41no—
1393C22⋊C4—41no—
1394C22⋊C4—474no—
1395C22⋊C4—474no—
1396C22⋊C4—942no—
1397C22⋊C4—942no—
1398C22⋊C4—942no—
1399C22⋊C4—942no—
1400C22⋊C4—942no—
1401C22⋊C4—942no—
1402C22⋊C4—942no—
1403C22⋊C4—942no—
1404C22⋊C4—942no—
1405C22⋊C4—942no—
1406C22⋊C4—942no—
1407C22⋊C4—942no—
1408C22⋊C4—942no—
1409C22⋊C4—942no—
1410C22⋊C4—1881no—
1411C22⋊C4—1881no—
1412C22⋊C4—1881no—
1413C22⋊C4—1881no—
1414C22⋊C4—1881no—
1415C22⋊C4—1881no—
1416C22⋊C4—1881no—
1417C22⋊C4—1881no—
1418C22⋊C4—1881no—
1419C22⋊C4—1881no—
1420C22⋊C4—1881no—
1421C22⋊C4—1881no—
1422C22⋊C4—1881no—
1423C22⋊C4—1881no—
1424C22⋊C4—1881no—
1425C22⋊C4—1881no—
1426C22⋊C4—1881no—
1427C22⋊C4—1881no—
1428C42—22no—
1429C42—474no—
1430C42—942no—
1431C42—942no—
1432C42—942no—
1433C42—1881no—
1434C42—1881no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—44no—
1460C23—44no—
1461C23—44no—
1462C23—44no—
1463C23—44no—
1464C23—44no—
1465C23—44no—
1466C23—941no—
1467C23—941no—
1468C23—941no—
1469C23—941no—
1470C23—941no—
1471C23—941no—
1472C23—941no—
1473C23—941no—
1474C23—941no—
1475C23—941no—
1476C23—941no—
1477C23—941no—
1478C23—941no—
1479C23—941no—
1480C23C2×D4×D4712yes—
1481C23C2×D4×D4712yes—
1482C23#1309407012yes—
1483C23#1309407112yes—
1484C23C24×D4711yescharacteristic
1485Q8—44no—
1486Q8—3762no—
1487Q8—3762no—
1488Q8—1884no—
1489D4—44no—
1490D4—44no—
1491D4—44no—
1492D4—3762no—
1493D4—3762no—
1494D4—3762no—
1495D4—3762no—
1496D4—3762no—
1497D4—1884no—
1498D4—1884no—
1499D4—1884no—
1500D4—1884no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—82no—
1534C2×C4—472no—
1535C2×C4—472no—
1536C2×C4—472no—
1537C2×C4—472no—
1538C2×C4—472no—
1539C2×C4—948no—
1540C2×C4—941no—
1541C2×C4—941no—
1542C2×C4—941no—
1543C2×C4—941no—
1544C2×C4—941no—
1545C2×C4—941no—
1546C2×C4—941no—
1547C2×C4—941no—
1548C2×C4—941no—
1549C2×C4—941no—
1550C2×C4—941no—
1551C2×C4—941no—
1552C2×C4—941no—
1553C2×C4—941no—
1554C2×C4—941no—
1555C2×C4—941no—
1556C2×C4—941no—
1557C2×C4—941no—
1558C2×C4—941no—
1559C2×C4—941no—
1560C2×C4—941no—
1561C2×C4—941no—
1562C2×C4—941no—
1563C2×C4—941no—
1564C2×C4—941no—
1565C2×C4—941no—
1566C2×C4—941no—
1567C2×C4—941no—
1568C2×C4—941no—
1569C2×C4—941no—
1570C2×C4—941no—
1571C2×C4—941no—
1572C2×C4—941no—
1573C2×C4—941no—
1574C2×C4—941no—
1575C2×C4—941no—
1576C2×C4—941no—
1577C2×C4—3762no—
1578C2×C4—1884no—
1579C2×C4—1884no—
1580C2×C4—1884no—
1581C2×C4—1884no—
1582C2×C4—1884no—
1583C2×C4—1884no—
1584C2×C4—1884no—
1585C2×C4—1884no—
1586C2×C4C2×D4×D4712yes—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—22no—
1595C22—22no—
1596C22—22no—
1597C22—22no—
1598C22—22no—
1599C22—416no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—1881no—
1617C22—1881no—
1618C22—1881no—
1619C22—1881no—
1620C22—1881no—
1621C22—1881no—
1622C22—1881no—
1623C22—1881no—
1624C22—1881no—
1625C22—1881no—
1626C22—1881no—
1627C22—1881no—
1628C22—1881no—
1629C22—1881no—
1630C22C22×D4×D4711yescharacteristic
1631C22H(5,𝔽2)×D4711yescharacteristic
1632C22C2×#1309407011yescharacteristic
1633C22C2×#1309407111yescharacteristic
1634C22#1568995811yescharacteristic
1635C22#1568995811yescharacteristic
1636C22#1568995811yescharacteristic
1637C4—22no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—942no—
1649C4—942no—
1650C4—942no—
1651C4—942no—
1652C4—942no—
1653C4—1881no—
1654C4—1881no—
1655C4—1881no—
1656C4—1881no—
1657C4—1881no—
1658C4—1881no—
1659C4—1881no—
1660C4—1881no—
1661C4—1881no—
1662C2—42no—
1663C2—42no—
1664C2—42no—
1665C2—42no—
1666C2—3761no—
1667C2—3761no—
1668C2#2025671411yescharacteristic
1669C2#2025701811yescharacteristic
1670C2#2025705911yescharacteristic
1671C2#2025755611yescharacteristic
1672C2#2025759311yescharacteristic
1673C2#2025766111yescharacteristic
1674C2#2025767611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2684C2
hypercenter#2684D47
hypocenterC47#36712
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2684

Complements

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

NH ≅ G/Ntype
1. C2×#15689742C2semidirect
2. C2×#15689629C2semidirect
3. #20251682C2semidirect
4. #20251673C2semidirect
5. #20249945C2semidirect
6. #20249918C2semidirect
7. #20249889C2semidirect
8. #20249862C2semidirect
9. #20249841C2semidirect
10. #20249788C2semidirect
11. #20249779C2semidirect
12. #20249700C2semidirect
13. #20249690C2semidirect
14. #20249675C2semidirect
15. #20249667C2semidirect
16. #20249641C2semidirect
17. #20249622C2semidirect
18. #20249614C2semidirect
19. #20249592C2semidirect
20. #20249307C2semidirect
21. #20249230C2semidirect
22. #20249063C2semidirect
23. #20249001C2semidirect
24. #20248958C2semidirect
25. #20248952C2semidirect
26. #20248741C2semidirect
27. #20248572C2semidirect
28. #20247011C2semidirect
29. #20246996C2semidirect
30. #20246014C2semidirect
31. C47×#2684C2semidirect
35. C2×#13094024C22semidirect
36. C2×#13094023C22semidirect
38. C2×#13094017C22semidirect
41. C2×#13094010C22semidirect
46. C2×#13094008C22semidirect
53. C2×#13094001C22semidirect
54. C2×#13094000C22semidirect
55. C2×#13093998C22semidirect
62. C2×Q8×Dic47C22semidirect
67. C2×#13093981C22semidirect
69. #15689065C22semidirect
70. #15689064C22semidirect
71. #15689060C22semidirect
74. #15689058C22semidirect
75. #15689057C22semidirect
76. #15689057C22semidirect
77. #15689055C22semidirect
78. #15689054C22semidirect
79. #15689052C22semidirect
81. #15689051C22semidirect
83. #15689047C22semidirect
84. #15689047C22semidirect
86. #15689045C22semidirect
87. #15689044C22semidirect
88. #15689044C22semidirect
89. #15689043C22semidirect
90. #15689042C22semidirect
91. #15689041C22semidirect
94. #15689039C22semidirect
95. #15689039C22semidirect
101. #15689038C22semidirect
103. #15689036C22semidirect
104. #15689036C22semidirect
106. #15689034C22semidirect
111. #15689027C22semidirect
116. #15689022C22semidirect
117. #15689020C22semidirect
118. #15689020C22semidirect
123. #15689015C22semidirect
124. #15689014C22semidirect
125. #15689013C22semidirect
127. #15689010C22semidirect
128. #15689010C22semidirect
129. #15689008C22semidirect
130. #15689007C22semidirect
131. #15689006C22semidirect
132. #15689006C22semidirect
133. #15689006C22semidirect
134. #15689006C22semidirect
137. #15689001C22semidirect
138. #15689001C22semidirect
143. #15689000C22semidirect
153. #15688997C22semidirect
154. #15688997C22semidirect
155. #15688997C22semidirect
156. #15688996C22semidirect
160. #15688995C22semidirect
161. #15688994C22semidirect
162. #15688990C22semidirect
163. #15688987C22semidirect
166. #15688983C22semidirect
170. #15688981C22semidirect
172. C22⋊C4×Dic47C22semidirect
173. C2×C47⋊#95C22semidirect
245. D4×Dic47D4semidirect
836. #2684D47semidirect
1026. C47#36712semidirect

Maximal subgroups

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

subgroupindex
C2×#156897422
C2×#156896292
#202516822
#202516732
#202499452
#202499182
#202498892
#202498622
#202498412
#202497882
#202497792
#202497002
#202496902
#202496752
#202496672
#202496412
#202496222
#202496142
#202495922
#202493072
#202492302
#202490632
#202490012
#202489582
#202489522
#202487412
#202485722
#202470112
#202469962
#202460142
C47×#26842
#3671247