Finite Group Databasebeta

← #26423327

Subgroups — #26423327

Order 12032.

2432 conjugacy classes of subgroups.

The subgroup lattice has 1672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689717C211yesmaximal, characteristic, complemented
2C2×#15689629C211yesmaximal, characteristic, complemented
3#20251682C211yesmaximal, characteristic, complemented
4#20251673C211yesmaximal, characteristic, complemented
5#20250090C211yesmaximal, characteristic, complemented
6#20250079C211yesmaximal, characteristic, complemented
7#20250043C211yesmaximal, characteristic, complemented
8#20250032C211yesmaximal, characteristic, complemented
9#20249995C211yesmaximal, characteristic, complemented
10#20249964C211yesmaximal, characteristic, complemented
11#20249783C211yesmaximal, characteristic, complemented
12#20249757C211yesmaximal, characteristic, complemented
13#20249752C211yesmaximal, characteristic, complemented
14#20249746C211yesmaximal, characteristic, complemented
15#20249738C211yesmaximal, characteristic, complemented
16#20249731C211yesmaximal, characteristic, complemented
17#20249724C211yesmaximal, characteristic, complemented
18#20249717C211yesmaximal, characteristic, complemented
19#20249713C211yesmaximal, characteristic, complemented
20#20249307C211yesmaximal, characteristic, complemented
21#20249230C211yesmaximal, characteristic, complemented
22#20249083C211yesmaximal, characteristic, complemented
23#20249013C211yesmaximal, characteristic, complemented
24#20248986C211yesmaximal, characteristic, complemented
25#20248971C211yesmaximal, characteristic, complemented
26#20248732C211yesmaximal, characteristic, complemented
27#20248583C211yesmaximal, characteristic, complemented
28#20246728C211yesmaximal, characteristic, complemented
29#20246722C211yesmaximal, characteristic, complemented
30#20246025C211yesmaximal, characteristic, complemented
31C47×#2697C211yesmaximal, characteristic, complemented
32C22×#10625352C2211yescharacteristic
33C24×Dic47C2211yescharacteristic
34#15689717—28no—
35C2×#13094019C2211yescharacteristic, complemented
36C2×#13094017C2211yescharacteristic
37C2×#13094015C2211yescharacteristic, complemented
38C2×#13094014C2211yescharacteristic, complemented
39#15689629—28no—
40C2×#13094008C2211yescharacteristic
41C2×#13094008C2211yescharacteristic
42C2×#13094008C2211yescharacteristic
43C2×#13094008C2211yescharacteristic, complemented
44C2×#13094007C2211yescharacteristic, complemented
45C2×#13094006C2211yescharacteristic
46C2×#13094005C2211yescharacteristic
47C2×#13094005C2211yescharacteristic
48C2×#13094004C2211yescharacteristic, complemented
49C2×#13094002C2211yescharacteristic, complemented
50C2×#13094001C2211yescharacteristic
51C2×#13094001C2211yescharacteristic
52C2×#13094001C2211yescharacteristic
53C2×#13094001C2211yescharacteristic
54C2×#13094001C2211yescharacteristic
55C2×#13094001C2211yescharacteristic, complemented
56C2×#13093997C2211yescharacteristic
57C2×#13093996C2211yescharacteristic
58C2×#13093996C2211yescharacteristic
59C2×#13093996C2211yescharacteristic
60C2×#13093993C2211yescharacteristic
61C2×#13093993C2211yescharacteristic
62C2×D4×Dic47C2211yescharacteristic
63C2×D4×Dic47C2211yescharacteristic
64C2×(C22⋊D47)⋊C4C2211yescharacteristic
65C2×(C22⋊D47)⋊C4C2211yescharacteristic
66C2×(C22⋊D47)⋊C4C2211yescharacteristic, complemented
67C2×#13093980C2211yescharacteristic
68C22×C4⋊Dic47C2211yescharacteristic, complemented
69#15689064C2211yescharacteristic, complemented
70#15689059C2211yescharacteristic
71#15689057C2211yescharacteristic, complemented
72#15689057C2211yescharacteristic, complemented
73#15689057C2211yescharacteristic, complemented
74#15689057C2211yescharacteristic, complemented
75#15689056C2211yescharacteristic, complemented
76#15689055C2211yescharacteristic, complemented
77#15689055C2211yescharacteristic, complemented
78#15689052C2211yescharacteristic, complemented
79#15689052C2211yescharacteristic, complemented
80#15689051C2211yescharacteristic
81#15689051C2211yescharacteristic
82#15689051C2211yescharacteristic, complemented
83#15689047C2211yescharacteristic, complemented
84#15689046C2211yescharacteristic
85#15689046C2211yescharacteristic
86#15689046C2211yescharacteristic
87#15689045C2211yescharacteristic, complemented
88#15689045C2211yescharacteristic, complemented
89#15689045C2211yescharacteristic, complemented
90#15689045C2211yescharacteristic, complemented
91#15689044C2211yescharacteristic, complemented
92#15689044C2211yescharacteristic, complemented
93#15689043C2211yescharacteristic, complemented
94#15689041C2211yescharacteristic, complemented
95#15689039C2211yescharacteristic
96#15689039C2211yescharacteristic
97#15689039C2211yescharacteristic
98#15689039C2211yescharacteristic
99#15689039C2211yescharacteristic, complemented
100#15689038C2211yescharacteristic
101#15689038C2211yescharacteristic
102#15689038C2211yescharacteristic
103#15689038C2211yescharacteristic
104#15689038C2211yescharacteristic, complemented
105#15689036C2211yescharacteristic, complemented
106#15689032C2211yescharacteristic
107#15689032C2211yescharacteristic
108#15689032C2211yescharacteristic, complemented
109#15689031C2211yescharacteristic
110#15689031C2211yescharacteristic
111#15689027C2211yescharacteristic, complemented
112#15689026C2211yescharacteristic
113#15689025C2211yescharacteristic, complemented
114#15689023C2211yescharacteristic
115#15689023C2211yescharacteristic
116#15689023C2211yescharacteristic
117#15689023C2211yescharacteristic
118#15689023C2211yescharacteristic
119#15689021C2211yescharacteristic, complemented
120#15689021C2211yescharacteristic, complemented
121#15689019C2211yescharacteristic, complemented
122#15689019C2211yescharacteristic, complemented
123#15689018C2211yescharacteristic, complemented
124#15689017C2211yescharacteristic
125#15689017C2211yescharacteristic
126#15689017C2211yescharacteristic, complemented
127#15689016C2211yescharacteristic
128#15689013C2211yescharacteristic, complemented
129#15689013C2211yescharacteristic, complemented
130#15689012C2211yescharacteristic, complemented
131#15689011C2211yescharacteristic
132#15689011C2211yescharacteristic
133#15689011C2211yescharacteristic, complemented
134#15689010C2211yescharacteristic, complemented
135#15689010C2211yescharacteristic, complemented
136#15689009C2211yescharacteristic, complemented
137#15689006C2211yescharacteristic, complemented
138#15689003C2211yescharacteristic
139#15689002C2211yescharacteristic, complemented
140#15689001C2211yescharacteristic, complemented
141#15689000C2211yescharacteristic
142#15689000C2211yescharacteristic
143#15689000C2211yescharacteristic
144#15689000C2211yescharacteristic
145#15688999C2211yescharacteristic
146#15688998C2211yescharacteristic
147#15688998C2211yescharacteristic
148#15688998C2211yescharacteristic
149#15688998C2211yescharacteristic
150#15688998C2211yescharacteristic
151#15688998C2211yescharacteristic
152#15688998C2211yescharacteristic
153#15688998C2211yescharacteristic, complemented
154#15688997C2211yescharacteristic, complemented
155#15688997C2211yescharacteristic, complemented
156#15688997C2211yescharacteristic, complemented
157#15688996C2211yescharacteristic, complemented
158#15688995C2211yescharacteristic
159#15688995C2211yescharacteristic
160#15688995C2211yescharacteristic
161#15688994C2211yescharacteristic, complemented
162#15688992C2211yescharacteristic, complemented
163#15688987C2211yescharacteristic, complemented
164#15688984C2211yescharacteristic
165#15688984C2211yescharacteristic
166#15688984C2211yescharacteristic, complemented
167#15688981C2211yescharacteristic
168#15688981C2211yescharacteristic
169#15688981C2211yescharacteristic
170#15688981C2211yescharacteristic, complemented
171#15688979C2211yescharacteristic
172C4⋊C4×Dic47C2211yescharacteristic, complemented
173#15688969C2211yescharacteristic, complemented
174C2×#123×C47C2211yescharacteristic
175C2×#120×C47C2211yescharacteristic
176C47×#397C2211yescharacteristic
177C47×#397C2211yescharacteristic
178C47×#396C2211yescharacteristic
179C47×#396C2211yescharacteristic
180C47×#394C2211yescharacteristic
181C47×#394C2211yescharacteristic
182C47×#390C2211yescharacteristic
183C47×#388C2211yescharacteristic
184C47×#388C2211yescharacteristic
185C47×#386C2211yescharacteristic
186C47×#386C2211yescharacteristic
187C47×#379C2211yescharacteristic
188C47×#379C2211yescharacteristic
189C2×#10625352—24no—
190C2×#10625352—42no—
191C2×#10625352—42no—
192C22×Dic94C2311yescharacteristic
193C22×Dic94C2311yescharacteristic
194C22×D188C2311yescharacteristic
195C22×C22⋊D47C2311yescharacteristic
196C22×C22⋊D47C2311yescharacteristic
197C22×C22⋊D47C2311yescharacteristic
198C22×C22⋊D47C2311yescharacteristic
199C22×C22⋊D47C2311yescharacteristic
200C22×C22⋊D47C2311yescharacteristic
201C22×C22⋊D47C2311yescharacteristic
202C22×C22⋊D47C2311yescharacteristic
203C23×Dic47—24no—
204C23×Dic47—42no—
205C23×Dic47—42no—
206C23×Dic47C2311yescharacteristic
207C23×Dic47C2311yescharacteristic
208C23×Dic47C2311yescharacteristic
209C23×Dic47C2311yescharacteristic
210C23×Dic47C2311yescharacteristic
211C23×Dic47C2311yescharacteristic
212C23×Dic47C2311yescharacteristic
213C23×Dic47C2311yescharacteristic
214C22×C4×D47C2311yescharacteristic
215C22×C4×D47C2311yescharacteristic
216#13094019—24no—
217#13094017—24no—
218#13094015—24no—
219#13094014—24no—
220#13094008—24no—
221#13094008—24no—
222#13094008—42no—
223#13094008—42no—
224#13094007—24no—
225#13094006—24no—
226#13094005—24no—
227#13094005—42no—
228#13094004—24no—
229#13094002—42no—
230#13094001—24no—
231#13094001—24no—
232#13094001—24no—
233#13094001—24no—
234#13094001—42no—
235#13094001—42no—
236#13093997—42no—
237#13093996—24no—
238#13093996—24no—
239#13093996—24no—
240#13093993—24no—
241#13093993—42no—
242D4×Dic47—24no—
243D4×Dic47D418yescomplemented
244(C22⋊D47)⋊C4—24no—
245(C22⋊D47)⋊C4—24no—
246(C22⋊D47)⋊C4—24no—
247#13093980—24no—
248C2×C4⋊Dic47—24no—
249C2×C4⋊Dic47C2311yescharacteristic
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×Dic47⋊C4C2311yescharacteristic
281C2×Dic47⋊C4C2311yescharacteristic
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×C22⋊Dic47C2311yescharacteristic
298C2×(C2×D47)⋊C4C2311yescharacteristic
299C2×(C2×D47)⋊C4C2311yescharacteristic
300C2×(C2×D47)⋊C4C2311yescharacteristic
301C2×(C2×D47)⋊C4C2311yescharacteristic
302C2×(C2×D47)⋊C4C2311yescharacteristic
303C2×(C2×D47)⋊C4C2311yescharacteristic
304C2×(C2×D47)⋊C4C2311yescharacteristic
305C2×(C2×D47)⋊C4C2311yescharacteristic
306C2×(C2×D47)⋊C4C2311yescharacteristic
307C2×(C2×D47)⋊C4C2311yescharacteristic
308C2×(C2×D47)⋊C4C2311yescharacteristic
309C2×(C2×D47)⋊C4C2311yescharacteristic
310C2×(C2×D47)⋊C4C2311yescharacteristic
311C2×(C2×D47)⋊C4C2311yescharacteristic
312C2×(C2×D47)⋊C4C2311yescharacteristic
313C2×(C2×D47)⋊C4C2311yescharacteristic
314C2×(C2×D47)⋊C4C2311yescharacteristic
315C2×(C2×D47)⋊C4C2311yescharacteristic
316C2×C4×Dic47C2311yescharacteristic
317C2×C4×Dic47C2311yescharacteristic
318C2×C4×Dic47C2311yescharacteristic
319C2×C4×Dic47C2311yescharacteristic
320C2×C4×Dic47C2311yescharacteristic
321C2×C4×Dic47C2311yescharacteristic
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×D4×C47C2311yescharacteristic
350C22×D4×C47C2311yescharacteristic
351C22×D4×C47C2311yescharacteristic
352C23×C4×C47C2311yescharacteristic
353#123×C47—24no—
354#120×C47—24no—
355C2×C4⋊C4×C47C2311yescharacteristic
356C2×C4⋊C4×C47C2311yescharacteristic
357C2×C4⋊C4×C47C2311yescharacteristic
358C2×C4⋊C4×C47C2311yescharacteristic
359C2×C4⋊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×C22⋊C4×C47C2311yescharacteristic
377C2×C22⋊C4×C47C2311yescharacteristic
378C2×C42×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×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—
406C2×D4×C47C2×D414yes—
407C22×C4×C47—22no—
408C22×C4×C47—41no—
409C22×C4×C47—41no—
410C22×C4×C47C2411yescharacteristic
411C22×C4×C47C2411yescharacteristic
412C22×C4×C47C2411yescharacteristic
413C22×C4×C47C2411yescharacteristic
414C22×C4×C47C2411yescharacteristic
415C22×C4×C47C2411yescharacteristic
416C22×C4×C47C2411yescharacteristic
417C22×C4×C47C2411yescharacteristic
418C22×C4×C47C2411yescharacteristic
419C22×C4×C47C2411yescharacteristic
420C22×C4×C47C2411yescharacteristic
421C2×C22⋊D47—22no—
422C2×C22⋊D47—22no—
423C2×C22⋊D47—22no—
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—41no—
433C2×C22⋊D47—41no—
434C2×C22⋊D47—41no—
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—
445C22×Dic47—22no—
446C22×Dic47—22no—
447C22×Dic47—22no—
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—41no—
457C22×Dic47—41no—
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—416no—
468C22×Dic47C2×D414yes—
469C22×Dic47C2×D414yes—
470C22×Dic47C2411yescharacteristic
471C22×Dic47C2411yescharacteristic
472C22×Dic47C2411yescharacteristic
473C22×Dic47C2411yescharacteristic
474C22×Dic47C2411yescharacteristic
475C22×Dic47C2411yescharacteristic
476C22×Dic47C2411yescharacteristic
477C22×Dic47C2411yescharacteristic
478C22×Dic47C2411yescharacteristic
479C22×Dic47C2411yescharacteristic
480C22×Dic47C2411yescharacteristic
481C22×Dic47C2411yescharacteristic
482C22×Dic47C2411yescharacteristic
483C22×Dic47C2411yescharacteristic
484#10625352—416no—
485C2×D188—41no—
486C2×D188—41no—
487C2×D188—41no—
488C2×C4×D47—22no—
489C2×C4×D47—22no—
490C2×C4×D47—41no—
491C2×C4×D47—41no—
492C2×C4×D47—41no—
493C2×C4×D47—41no—
494C2×Dic94—22no—
495C2×Dic94—22no—
496C2×Dic94—22no—
497C2×Dic94—41no—
498C2×Dic94—41no—
499C2×Dic94—41no—
500C4⋊C4×C47—22no—
501C4⋊C4×C47—22no—
502C4⋊C4×C47—41no—
503C4⋊C4×C47—41no—
504C4⋊C4×C47—41no—
505C22⋊C4×C47—22no—
506C22⋊C4×C47—22no—
507C22⋊C4×C47—22no—
508C22⋊C4×C47—22no—
509C22⋊C4×C47—22no—
510C22⋊C4×C47—22no—
511C22⋊C4×C47—22no—
512C22⋊C4×C47—22no—
513C22⋊C4×C47—41no—
514C22⋊C4×C47—41no—
515C22⋊C4×C47—41no—
516C22⋊C4×C47—41no—
517C22⋊C4×C47—41no—
518C22⋊C4×C47—41no—
519C22⋊C4×C47—41no—
520C22⋊C4×C47—41no—
521C22⋊C4×C47—41no—
522C22⋊C4×C47—41no—
523C42×C47—41no—
524C22⋊Dic47—22no—
525C22⋊Dic47—22no—
526C22⋊Dic47—22no—
527C22⋊Dic47—22no—
528C22⋊Dic47—22no—
529C22⋊Dic47—22no—
530C22⋊Dic47—41no—
531C22⋊Dic47—41no—
532C22⋊Dic47—41no—
533C22⋊Dic47—41no—
534C22⋊Dic47—41no—
535C22⋊Dic47—41no—
536C22⋊Dic47—41no—
537C22⋊Dic47—41no—
538C22⋊Dic47C2×D414yes—
539C22⋊Dic47C2×D414yes—
540(C2×D47)⋊C4—22no—
541(C2×D47)⋊C4—22no—
542(C2×D47)⋊C4—22no—
543(C2×D47)⋊C4—22no—
544(C2×D47)⋊C4—22no—
545(C2×D47)⋊C4—22no—
546(C2×D47)⋊C4—22no—
547(C2×D47)⋊C4—41no—
548(C2×D47)⋊C4—41no—
549(C2×D47)⋊C4—41no—
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—
558C4⋊Dic47—22no—
559C4⋊Dic47—22no—
560C4⋊Dic47—22no—
561C4⋊Dic47—22no—
562C4⋊Dic47—22no—
563C4⋊Dic47—22no—
564C4⋊Dic47—22no—
565C4⋊Dic47—22no—
566C4⋊Dic47—41no—
567C4⋊Dic47—41no—
568C4⋊Dic47—41no—
569C4⋊Dic47—41no—
570C4⋊Dic47C2×D414yes—
571Dic47⋊C4—22no—
572Dic47⋊C4—22no—
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—41no—
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—
647D4×C47—44no—
648D4×C47—44no—
649D4×C47—44no—
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—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—44no—
683C2×C4×C47C22×D412yes—
684C22⋊D47—44no—
685C22⋊D47—44no—
686C22⋊D47—44no—
687C22⋊D47—44no—
688C22⋊D47—44no—
689C22⋊D47—82no—
690C22⋊D47—82no—
691C22⋊D47—82no—
692C2×Dic47—28no—
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—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—44no—
731C2×Dic47—44no—
732C2×Dic47—44no—
733C2×Dic47—44no—
734C2×Dic47—44no—
735C2×Dic47—44no—
736C2×Dic47—82no—
737C2×Dic47C22×D412yes—
738C2×Dic47C22×D412yes—
739C2×Dic47C22×D412yes—
740C2×Dic47C22×D412yes—
741C2×Dic47H(5,𝔽2)12yes—
742D188—82no—
743C4×D47—44no—
744C4×D47—82no—
745Dic94—44no—
746Dic94—82no—
747#36723—471nomaximal, Sylow
748C22×C47—22no—
749C22×C47—22no—
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—416no—
761C22×C47—41no—
762C22×C47—41no—
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×C47C23×D411yescharacteristic
778C22×C47C2×H(5,𝔽2)11yescharacteristic
779C22×C47C2×H(5,𝔽2)11yescharacteristic
780C22×C47C2×2−1+411yescharacteristic
781C22×C47#58511yescharacteristic
782C22×C47#58511yescharacteristic
783C22×C47#58511yescharacteristic
784C2×D47—41no—
785C2×D47—41no—
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—
798C4×C47—22no—
799C4×C47—41no—
800C4×C47—41no—
801C4×C47—41no—
802C4×C47—41no—
803C4×C47—41no—
804C4×C47—41no—
805C4×C47—41no—
806C4×C47—41no—
807C4×C47—41no—
808C4×C47—41no—
809Dic47—22no—
810Dic47—22no—
811Dic47—22no—
812Dic47—22no—
813Dic47—22no—
814Dic47—41no—
815Dic47—41no—
816Dic47—41no—
817Dic47—41no—
818Dic47—41no—
819Dic47—41no—
820Dic47—41no—
821Dic47—41no—
822Dic47—41no—
823C2×#539—471no—
824C2×#525—471no—
825#2849—471no—
826#2848—471no—
827#2707—471no—
828#2706—471no—
829#2704—471no—
830#2703—471no—
831#2701—471no—
832#2698—471no—
833#2697D4711yescharacteristic, complemented
834#2685—471no—
835#2683—471no—
836#2682—471no—
837#2681—471no—
838#2681—471no—
839#2680—471no—
840#2680—471no—
841#2678—471no—
842#2678—471no—
843#2638—471no—
844#2630—471no—
845#2611—471no—
846#2603—471no—
847#2601—471no—
848#2600—471no—
849#2579—471no—
850#2566—471no—
851#2407—471no—
852#2406—471no—
853#2319—471no—
854C2×C47—42no—
855C2×C47—42no—
856C2×C47—42no—
857C2×C47—42no—
858C2×C47#344911yescharacteristic
859C2×C47#348411yescharacteristic
860C2×C47#348911yescharacteristic
861C2×C47#353311yescharacteristic
862C2×C47#353511yescharacteristic
863C2×C47#353911yescharacteristic
864C2×C47#354111yescharacteristic
865D47—81no—
866D47—81no—
867C22×#41—471no—
868C24×C4—471no—
869#539—948no—
870C2×#126—471no—
871C2×#126—471no—
872C2×#125—471no—
873C2×#125—471no—
874#525—948no—
875C2×#123—471no—
876C2×#123—471no—
877C2×#123—471no—
878C2×#123—471no—
879C2×#123—471no—
880C2×#123—471no—
881C2×#123—471no—
882C2×#123—471no—
883C2×#123C2×D4711yescharacteristic
884C2×C22⋊Q8—471no—
885C2×C22⋊Q8—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×#121—471no—
893C2×#121—471no—
894C2×#121—471no—
895C2×#121—471no—
896C2×#120—471no—
897C2×#120—471no—
898C2×#120C2×D4711yescharacteristic
899C2×C4×D4—471no—
900C2×C4×D4—471no—
901C2×C4×D4—471no—
902C2×C4×D4—471no—
903C2×C4×D4—471no—
904C2×#117—471no—
905C22×C4⋊C4—471no—
906#400—471no—
907#399—471no—
908#398—471no—
909#398—471no—
910#398—471no—
911#398—471no—
912#398—471no—
913#398—471no—
914#398—471no—
915#397—471no—
916#397—471no—
917#397—471no—
918#397—471no—
919#397—471no—
920#397C2×D4711yescharacteristic
921#397C2×D4711yescharacteristic
922#396—471no—
923#396—471no—
924#396—471no—
925#396—471no—
926#396—471no—
927#396—471no—
928#396—471no—
929#396—471no—
930#396C2×D4711yescharacteristic
931#396C2×D4711yescharacteristic
932#395—471no—
933#395—471no—
934#395—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#394—471no—
945#394—471no—
946#394C2×D4711yescharacteristic
947#394C2×D4711yescharacteristic
948#393—471no—
949#392—471no—
950#392—471no—
951#392—471no—
952#392—471no—
953#392—471no—
954#391—471no—
955#390—471no—
956#390—471no—
957#390—471no—
958#390—471no—
959#390—471no—
960#390—471no—
961#390—471no—
962#390C2×D4711yescharacteristic
963#389—471no—
964#389—471no—
965#389—471no—
966#389—471no—
967#389—471no—
968#388—471no—
969#388—471no—
970#388—471no—
971#388—471no—
972#388—471no—
973#388—471no—
974#388—471no—
975#388—471no—
976#388—471no—
977#388—471no—
978#388C2×D4711yescharacteristic
979#388C2×D4711yescharacteristic
980#387—471no—
981#387—471no—
982#387—471no—
983#387—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#386C2×D4711yescharacteristic
993#386C2×D4711yescharacteristic
994#385—471no—
995#385—471no—
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#384—471no—
1011#382—471no—
1012#381—471no—
1013#381—471no—
1014#381—471no—
1015#380—471no—
1016#380—471no—
1017#380—471no—
1018#380—471no—
1019#379—471no—
1020#379C2×D4711yescharacteristic
1021#379C2×D4711yescharacteristic
1022C4×C4⋊C4—471no—
1023#376—471no—
1024C47#3672311yescharacteristic, complemented, Sylow
1025C25C22×D4711yescharacteristic
1026C2×#41—944no—
1027C2×#41—1882no—
1028C2×#41—1882no—
1029C22×Q8—471no—
1030C22×Q8—471no—
1031C22×D4—471no—
1032C22×D4—471no—
1033C22×D4—471no—
1034C22×D4—471no—
1035C22×D4—471no—
1036C22×D4—471no—
1037C22×D4—471no—
1038C22×D4—471no—
1039C22×D4—471no—
1040C22×D4C22×D4711yescharacteristic
1041C22×D4C22×D4711yescharacteristic
1042C22×D4C22×D4711yescharacteristic
1043C23×C4—471no—
1044C23×C4—471no—
1045C23×C4—471no—
1046C23×C4—471no—
1047C23×C4—471no—
1048C23×C4—471no—
1049C23×C4—471no—
1050C23×C4—471no—
1051C23×C4—471no—
1052C23×C4—471no—
1053C23×C4—944no—
1054C23×C4—1882no—
1055C23×C4—1882no—
1056C23×C4C22×D4711yescharacteristic
1057#126—944no—
1058#126—944no—
1059#125—944no—
1060#125—944no—
1061#123—24no—
1062#123—944no—
1063#123—944no—
1064#123—944no—
1065#123—944no—
1066#123—944no—
1067#123—1882no—
1068#123—1882no—
1069#123—1882no—
1070C22⋊Q8—944no—
1071C22⋊Q8—944no—
1072C22⋊Q8—944no—
1073C22⋊Q8—944no—
1074C22⋊Q8—944no—
1075C22⋊Q8—1882no—
1076C22⋊Q8—1882no—
1077C22⋊Q8—1882no—
1078#121—944no—
1079#121—944no—
1080#121—944no—
1081#121—1882no—
1082#120—24no—
1083#120—944no—
1084#120—1882no—
1085C4×D4—478no—
1086C4×D4—944no—
1087C4×D4—944no—
1088C4×D4—944no—
1089C4×D4—944no—
1090#117—944no—
1091C2×C4⋊C4—471no—
1092C2×C4⋊C4—471no—
1093C2×C4⋊C4—471no—
1094C2×C4⋊C4—471no—
1095C2×C4⋊C4—471no—
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—944no—
1125C2×C4⋊C4C22×D4711yescharacteristic
1126C2×C4⋊C4C22×D4711yescharacteristic
1127C2×C4⋊C4C22×D4711yescharacteristic
1128C2×C4⋊C4C22×D4711yescharacteristic
1129C2×C4⋊C4C22×D4711yescharacteristic
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⋊C4—471no—
1163C2×C22⋊C4—471no—
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×C22⋊C4C22×D4711yescharacteristic
1181C2×C22⋊C4C22×D4711yescharacteristic
1182C2×C42—471no—
1183C2×C42—471no—
1184C2×C42—471no—
1185C2×C42—471no—
1186C2×C42—471no—
1187C2×C42—471no—
1188C2×C42C22×D4711yescharacteristic
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
1221C24—22no—
1222C24—22no—
1223C24—22no—
1224C24—41no—
1225C24—41no—
1226C24—41no—
1227C24—41no—
1228C24—471no—
1229C24—471no—
1230C24C23×D4711yescharacteristic
1231C24C23×D4711yescharacteristic
1232C24C23×D4711yescharacteristic
1233C24C23×D4711yescharacteristic
1234#41—18816no—
1235C2×Q8—942no—
1236C2×Q8—942no—
1237C2×Q8—942no—
1238C2×Q8—1881no—
1239C2×Q8—1881no—
1240C2×Q8—1881no—
1241C2×D4—22no—
1242C2×D4—22no—
1243C2×D4—22no—
1244C2×D4—22no—
1245C2×D4—41no—
1246C2×D4—41no—
1247C2×D4—41no—
1248C2×D4—41no—
1249C2×D4—942no—
1250C2×D4—942no—
1251C2×D4—942no—
1252C2×D4—942no—
1253C2×D4—942no—
1254C2×D4—942no—
1255C2×D4—942no—
1256C2×D4—942no—
1257C2×D4—942no—
1258C2×D4—942no—
1259C2×D4—942no—
1260C2×D4—1881no—
1261C2×D4—1881no—
1262C2×D4—1881no—
1263C2×D4—1881no—
1264C2×D4—1881no—
1265C2×D4—1881no—
1266C2×D4—1881no—
1267C2×D4—1881no—
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×D4D4×D4714yes—
1277C22×C4—22no—
1278C22×C4—41no—
1279C22×C4—41no—
1280C22×C4—471no—
1281C22×C4—471no—
1282C22×C4—471no—
1283C22×C4—471no—
1284C22×C4—471no—
1285C22×C4—474no—
1286C22×C4—474no—
1287C22×C4—471no—
1288C22×C4—471no—
1289C22×C4—471no—
1290C22×C4—471no—
1291C22×C4—471no—
1292C22×C4—471no—
1293C22×C4—471no—
1294C22×C4—471no—
1295C22×C4—471no—
1296C22×C4—942no—
1297C22×C4—942no—
1298C22×C4—942no—
1299C22×C4—942no—
1300C22×C4—942no—
1301C22×C4—942no—
1302C22×C4—942no—
1303C22×C4—942no—
1304C22×C4—942no—
1305C22×C4—942no—
1306C22×C4—942no—
1307C22×C4—942no—
1308C22×C4—942no—
1309C22×C4—1881no—
1310C22×C4—1881no—
1311C22×C4—1881no—
1312C22×C4—1881no—
1313C22×C4—1881no—
1314C22×C4—1881no—
1315C22×C4—1881no—
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—18816no—
1325C22×C4C23×D4711yescharacteristic
1326C22×C4C23×D4711yescharacteristic
1327C22×C4C23×D4711yescharacteristic
1328C22×C4C23×D4711yescharacteristic
1329C22×C4C23×D4711yescharacteristic
1330C22×C4C23×D4711yescharacteristic
1331C22×C4C23×D4711yescharacteristic
1332C22×C4C23×D4711yescharacteristic
1333C22×C4C23×D4711yescharacteristic
1334C22×C4C23×D4711yescharacteristic
1335C22×C4C23×D4711yescharacteristic
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—41no—
1339C4⋊C4—41no—
1340C4⋊C4—41no—
1341C4⋊C4—474no—
1342C4⋊C4—942no—
1343C4⋊C4—942no—
1344C4⋊C4—942no—
1345C4⋊C4—942no—
1346C4⋊C4—942no—
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—1881no—
1362C4⋊C4—1881no—
1363C4⋊C4—1881no—
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—
1374C22⋊C4—22no—
1375C22⋊C4—22no—
1376C22⋊C4—22no—
1377C22⋊C4—22no—
1378C22⋊C4—22no—
1379C22⋊C4—22no—
1380C22⋊C4—22no—
1381C22⋊C4—22no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—41no—
1385C22⋊C4—41no—
1386C22⋊C4—41no—
1387C22⋊C4—41no—
1388C22⋊C4—41no—
1389C22⋊C4—41no—
1390C22⋊C4—41no—
1391C22⋊C4—41no—
1392C22⋊C4—474no—
1393C22⋊C4—474no—
1394C22⋊C4—942no—
1395C22⋊C4—942no—
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—1881no—
1408C22⋊C4—1881no—
1409C22⋊C4—1881no—
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—
1426C42—41no—
1427C42—474no—
1428C42—942no—
1429C42—942no—
1430C42—1881no—
1431C42—1881no—
1432C42—1881no—
1433C23—21no—
1434C23—21no—
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—44no—
1458C23—44no—
1459C23—44no—
1460C23—44no—
1461C23—44no—
1462C23—44no—
1463C23—44no—
1464C23—941no—
1465C23—941no—
1466C23—941no—
1467C23—941no—
1468C23—941no—
1469C23—941no—
1470C23—941no—
1471C23—941no—
1472C23—941no—
1473C23—941no—
1474C23—941no—
1475C23—941no—
1476C23—941no—
1477C23—941no—
1478C23C2×D4×D4712yes—
1479C23C2×D4×D4712yes—
1480C23#1309407012yes—
1481C23#1309407112yes—
1482C23C24×D4711yescharacteristic
1483Q8—3762no—
1484Q8—1884no—
1485D4—44no—
1486D4—44no—
1487D4—44no—
1488D4—3762no—
1489D4—3762no—
1490D4—3762no—
1491D4—3762no—
1492D4—1884no—
1493D4—1884no—
1494D4—1884no—
1495D4—1884no—
1496D4—1884no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
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—44no—
1530C2×C4—472no—
1531C2×C4—472no—
1532C2×C4—472no—
1533C2×C4—472no—
1534C2×C4—472no—
1535C2×C4—948no—
1536C2×C4—941no—
1537C2×C4—941no—
1538C2×C4—941no—
1539C2×C4—941no—
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—3762no—
1574C2×C4—3762no—
1575C2×C4—1884no—
1576C2×C4—1884no—
1577C2×C4—1884no—
1578C2×C4—1884no—
1579C2×C4—1884no—
1580C2×C4—1884no—
1581C2×C4—1884no—
1582C2×C4C2×D4×D4712yes—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—22no—
1595C22—416no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
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—1881no—
1613C22—1881no—
1614C22—1881no—
1615C22—1881no—
1616C22—1881no—
1617C22—1881no—
1618C22—1881no—
1619C22—1881no—
1620C22—1881no—
1621C22—1881no—
1622C22—1881no—
1623C22—1881no—
1624C22—1881no—
1625C22—1881no—
1626C22C22×D4×D4711yescharacteristic
1627C22H(5,𝔽2)×D4711yescharacteristic
1628C22C2×#1309407011yescharacteristic
1629C22C2×#1309407111yescharacteristic
1630C22#1568995811yescharacteristic
1631C22#1568995811yescharacteristic
1632C22#1568995811yescharacteristic
1633C4—22no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—942no—
1645C4—942no—
1646C4—942no—
1647C4—942no—
1648C4—942no—
1649C4—1881no—
1650C4—1881no—
1651C4—1881no—
1652C4—1881no—
1653C4—1881no—
1654C4—1881no—
1655C4—1881no—
1656C4—1881no—
1657C4—1881no—
1658C2—42no—
1659C2—42no—
1660C2—42no—
1661C2—42no—
1662C2—3761no—
1663C2—3761no—
1664C2#2025671411yescharacteristic
1665C2#2025701811yescharacteristic
1666C2#2025705911yescharacteristic
1667C2#2025755611yescharacteristic
1668C2#2025759311yescharacteristic
1669C2#2025764211yescharacteristic
1670C2#2025766811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2697C2
hypercenter#2697D47
hypocenterC47#36723
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2697

Complements

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

NH ≅ G/Ntype
1. C2×#15689717C2semidirect
2. C2×#15689629C2semidirect
3. #20251682C2semidirect
4. #20251673C2semidirect
5. #20250090C2semidirect
6. #20250079C2semidirect
7. #20250043C2semidirect
8. #20250032C2semidirect
9. #20249995C2semidirect
10. #20249964C2semidirect
11. #20249783C2semidirect
12. #20249757C2semidirect
13. #20249752C2semidirect
14. #20249746C2semidirect
15. #20249738C2semidirect
16. #20249731C2semidirect
17. #20249724C2semidirect
18. #20249717C2semidirect
19. #20249713C2semidirect
20. #20249307C2semidirect
21. #20249230C2semidirect
22. #20249083C2semidirect
23. #20249013C2semidirect
24. #20248986C2semidirect
25. #20248971C2semidirect
26. #20248732C2semidirect
27. #20248583C2semidirect
28. #20246728C2semidirect
29. #20246722C2semidirect
30. #20246025C2semidirect
31. C47×#2697C2semidirect
35. C2×#13094019C22semidirect
37. C2×#13094015C22semidirect
38. C2×#13094014C22semidirect
43. C2×#13094008C22semidirect
44. C2×#13094007C22semidirect
48. C2×#13094004C22semidirect
49. C2×#13094002C22semidirect
55. C2×#13094001C22semidirect
66. C2×(C22⋊D47)⋊C4C22semidirect
68. C22×C4⋊Dic47C22semidirect
69. #15689064C22semidirect
71. #15689057C22semidirect
72. #15689057C22semidirect
73. #15689057C22semidirect
74. #15689057C22semidirect
75. #15689056C22semidirect
76. #15689055C22semidirect
77. #15689055C22semidirect
78. #15689052C22semidirect
79. #15689052C22semidirect
82. #15689051C22semidirect
83. #15689047C22semidirect
87. #15689045C22semidirect
88. #15689045C22semidirect
89. #15689045C22semidirect
90. #15689045C22semidirect
91. #15689044C22semidirect
92. #15689044C22semidirect
93. #15689043C22semidirect
94. #15689041C22semidirect
99. #15689039C22semidirect
104. #15689038C22semidirect
105. #15689036C22semidirect
108. #15689032C22semidirect
111. #15689027C22semidirect
113. #15689025C22semidirect
119. #15689021C22semidirect
120. #15689021C22semidirect
121. #15689019C22semidirect
122. #15689019C22semidirect
123. #15689018C22semidirect
126. #15689017C22semidirect
128. #15689013C22semidirect
129. #15689013C22semidirect
130. #15689012C22semidirect
133. #15689011C22semidirect
134. #15689010C22semidirect
135. #15689010C22semidirect
136. #15689009C22semidirect
137. #15689006C22semidirect
139. #15689002C22semidirect
140. #15689001C22semidirect
153. #15688998C22semidirect
154. #15688997C22semidirect
155. #15688997C22semidirect
156. #15688997C22semidirect
157. #15688996C22semidirect
161. #15688994C22semidirect
162. #15688992C22semidirect
163. #15688987C22semidirect
166. #15688984C22semidirect
170. #15688981C22semidirect
172. C4⋊C4×Dic47C22semidirect
173. #15688969C22semidirect
243. D4×Dic47D4semidirect
833. #2697D47semidirect
1024. C47#36723semidirect

Maximal subgroups

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

subgroupindex
C2×#156897172
C2×#156896292
#202516822
#202516732
#202500902
#202500792
#202500432
#202500322
#202499952
#202499642
#202497832
#202497572
#202497522
#202497462
#202497382
#202497312
#202497242
#202497172
#202497132
#202493072
#202492302
#202490832
#202490132
#202489862
#202489712
#202487322
#202485832
#202467282
#202467222
#202460252
C47×#26972
#3672347