Finite Group Databasebeta

← #26423142

Subgroups — #26423142

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×#15689737C211yesmaximal, characteristic, complemented
2C2×#15689629C211yesmaximal, characteristic, complemented
3#20251678C211yesmaximal, characteristic, complemented
4#20251673C211yesmaximal, characteristic, complemented
5#20249937C211yesmaximal, characteristic, complemented
6#20249926C211yesmaximal, characteristic, complemented
7#20249881C211yesmaximal, characteristic, complemented
8#20249870C211yesmaximal, characteristic, complemented
9#20249837C211yesmaximal, characteristic, complemented
10#20249800C211yesmaximal, characteristic, complemented
11#20249775C211yesmaximal, characteristic, complemented
12#20249768C211yesmaximal, characteristic, complemented
13#20249697C211yesmaximal, characteristic, complemented
14#20249694C211yesmaximal, characteristic, complemented
15#20249663C211yesmaximal, characteristic, complemented
16#20249663C211yesmaximal, characteristic, complemented
17#20249645C211yesmaximal, characteristic, complemented
18#20249626C211yesmaximal, characteristic, complemented
19#20249592C211yesmaximal, characteristic, complemented
20#20249304C211yesmaximal, characteristic, complemented
21#20249224C211yesmaximal, characteristic, complemented
22#20249059C211yesmaximal, characteristic, complemented
23#20248997C211yesmaximal, characteristic, complemented
24#20248962C211yesmaximal, characteristic, complemented
25#20248947C211yesmaximal, characteristic, complemented
26#20248744C211yesmaximal, characteristic, complemented
27#20248565C211yesmaximal, characteristic, complemented
28#20247019C211yesmaximal, characteristic, complemented
29#20246991C211yesmaximal, characteristic, complemented
30#20246018C211yesmaximal, characteristic, complemented
31C47×#2670C211yesmaximal, characteristic, complemented
32C22×#10625352C2211yescharacteristic
33C24×Dic47C2211yescharacteristic
34#15689737—28no—
35C2×#13094022C2211yescharacteristic, complemented
36C2×#13094022C2211yescharacteristic, complemented
37C2×#13094018C2211yescharacteristic, complemented
38C2×#13094017C2211yescharacteristic
39C2×#13094010C2211yescharacteristic
40C2×#13094010C2211yescharacteristic, complemented
41#15689629—28no—
42C2×#13094008C2211yescharacteristic
43C2×#13094006C2211yescharacteristic, complemented
44C2×#13094005C2211yescharacteristic
45C2×#13094005C2211yescharacteristic
46C2×#13094005C2211yescharacteristic
47C2×#13094001C2211yescharacteristic
48C2×#13094001C2211yescharacteristic
49C2×#13094001C2211yescharacteristic
50C2×#13094001C2211yescharacteristic
51C2×#13094001C2211yescharacteristic
52C2×#13094001C2211yescharacteristic, complemented
53C2×#13094000C2211yescharacteristic, complemented
54C2×#13093996C2211yescharacteristic
55C2×#13093996C2211yescharacteristic
56C2×#13093996C2211yescharacteristic
57C2×#13093995C2211yescharacteristic
58C2×#13093995C2211yescharacteristic, complemented
59C2×#13093993C2211yescharacteristic
60C2×C4×Dic94C2211yescharacteristic, complemented
61C2×D4×Dic47C2211yescharacteristic
62C2×D4×Dic47C2211yescharacteristic
63C2×(C22⋊D47)⋊C4C2211yescharacteristic
64C2×(C22⋊D47)⋊C4C2211yescharacteristic
65C2×#13093980C2211yescharacteristic
66C2×#13093980C2211yescharacteristic, complemented
67#15689063C2211yescharacteristic, complemented
68#15689063C2211yescharacteristic, complemented
69#15689059C2211yescharacteristic
70#15689059C2211yescharacteristic
71#15689059C2211yescharacteristic, complemented
72#15689059C2211yescharacteristic, complemented
73#15689057C2211yescharacteristic, complemented
74#15689057C2211yescharacteristic, complemented
75#15689056C2211yescharacteristic, complemented
76#15689053C2211yescharacteristic, complemented
77#15689051C2211yescharacteristic
78#15689051C2211yescharacteristic
79#15689051C2211yescharacteristic, complemented
80#15689049C2211yescharacteristic, complemented
81#15689048C2211yescharacteristic
82#15689048C2211yescharacteristic
83#15689046C2211yescharacteristic
84#15689046C2211yescharacteristic, complemented
85#15689046C2211yescharacteristic, complemented
86#15689046C2211yescharacteristic, complemented
87#15689044C2211yescharacteristic, complemented
88#15689044C2211yescharacteristic, complemented
89#15689043C2211yescharacteristic, complemented
90#15689042C2211yescharacteristic, complemented
91#15689039C2211yescharacteristic
92#15689039C2211yescharacteristic, complemented
93#15689038C2211yescharacteristic
94#15689038C2211yescharacteristic
95#15689038C2211yescharacteristic, complemented
96#15689038C2211yescharacteristic, complemented
97#15689037C2211yescharacteristic
98#15689037C2211yescharacteristic
99#15689037C2211yescharacteristic
100#15689037C2211yescharacteristic
101#15689037C2211yescharacteristic
102#15689037C2211yescharacteristic, complemented
103#15689035C2211yescharacteristic
104#15689035C2211yescharacteristic
105#15689035C2211yescharacteristic, complemented
106#15689035C2211yescharacteristic, complemented
107#15689035C2211yescharacteristic, complemented
108#15689031C2211yescharacteristic
109#15689029C2211yescharacteristic, complemented
110#15689026C2211yescharacteristic
111#15689026C2211yescharacteristic
112#15689022C2211yescharacteristic, complemented
113#15689021C2211yescharacteristic, complemented
114#15689021C2211yescharacteristic, complemented
115#15689017C2211yescharacteristic
116#15689017C2211yescharacteristic
117#15689017C2211yescharacteristic, complemented
118#15689017C2211yescharacteristic, complemented
119#15689016C2211yescharacteristic
120#15689016C2211yescharacteristic
121#15689016C2211yescharacteristic, complemented
122#15689011C2211yescharacteristic
123#15689009C2211yescharacteristic, complemented
124#15689008C2211yescharacteristic, complemented
125#15689007C2211yescharacteristic, complemented
126#15689007C2211yescharacteristic, complemented
127#15689005C2211yescharacteristic, complemented
128#15689005C2211yescharacteristic, complemented
129#15689005C2211yescharacteristic, complemented
130#15689005C2211yescharacteristic, complemented
131#15689003C2211yescharacteristic
132#15689003C2211yescharacteristic
133#15689003C2211yescharacteristic
134#15689003C2211yescharacteristic
135#15689003C2211yescharacteristic
136#15689003C2211yescharacteristic
137#15689003C2211yescharacteristic, complemented
138#15689003C2211yescharacteristic, complemented
139#15688999C2211yescharacteristic
140#15688999C2211yescharacteristic
141#15688999C2211yescharacteristic
142#15688999C2211yescharacteristic
143#15688999C2211yescharacteristic
144#15688999C2211yescharacteristic, complemented
145#15688998C2211yescharacteristic
146#15688998C2211yescharacteristic
147#15688998C2211yescharacteristic
148#15688998C2211yescharacteristic, complemented
149#15688997C2211yescharacteristic, complemented
150#15688995C2211yescharacteristic
151#15688995C2211yescharacteristic
152#15688995C2211yescharacteristic
153#15688995C2211yescharacteristic
154#15688995C2211yescharacteristic
155#15688995C2211yescharacteristic
156#15688995C2211yescharacteristic
157#15688995C2211yescharacteristic, complemented
158#15688995C2211yescharacteristic, complemented
159#15688995C2211yescharacteristic, complemented
160#15688994C2211yescharacteristic, complemented
161#15688990C2211yescharacteristic, complemented
162#15688988C2211yescharacteristic, complemented
163#15688984C2211yescharacteristic
164#15688984C2211yescharacteristic
165#15688982C2211yescharacteristic, complemented
166#15688982C2211yescharacteristic, complemented
167#15688981C2211yescharacteristic
168#15688981C2211yescharacteristic
169#15688981C2211yescharacteristic
170#15688979C2211yescharacteristic
171#15688979C2211yescharacteristic
172C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
173#95×D47C2211yescharacteristic, complemented
174C2×#124×C47C2211yescharacteristic
175C2×#124×C47C2211yescharacteristic
176C2×#120×C47C2211yescharacteristic
177C2×#120×C47C2211yescharacteristic
178C47×#394C2211yescharacteristic
179C47×#394C2211yescharacteristic
180C47×#393C2211yescharacteristic
181C47×#392C2211yescharacteristic
182C47×#392C2211yescharacteristic
183C47×#392C2211yescharacteristic
184C47×#390C2211yescharacteristic
185C47×#390C2211yescharacteristic
186C47×#388C2211yescharacteristic
187C47×#388C2211yescharacteristic
188C47×#379C2211yescharacteristic
189C2×#10625352—24no—
190C2×#10625352—42no—
191C2×#10625352—42no—
192C22×Dic94C2311yescharacteristic
193C22×Dic94C2311yescharacteristic
194C22×Dic94C2311yescharacteristic
195C22×C22⋊D47C2311yescharacteristic
196C22×C22⋊D47C2311yescharacteristic
197C22×C22⋊D47C2311yescharacteristic
198C22×C22⋊D47C2311yescharacteristic
199C22×C22⋊D47C2311yescharacteristic
200C23×Dic47—24no—
201C23×Dic47—42no—
202C23×Dic47—42no—
203C23×Dic47C2311yescharacteristic
204C23×Dic47C2311yescharacteristic
205C23×Dic47C2311yescharacteristic
206C23×Dic47C2311yescharacteristic
207C23×Dic47C2311yescharacteristic
208C23×Dic47C2311yescharacteristic
209C23×Dic47C2311yescharacteristic
210C23×Dic47C2311yescharacteristic
211C22×C4×D47C2311yescharacteristic
212C22×C4×D47C2311yescharacteristic
213C22×C4×D47C2311yescharacteristic
214#13094022—24no—
215#13094022—42no—
216#13094018—24no—
217#13094017—24no—
218#13094010—24no—
219#13094010—24no—
220#13094008—24no—
221#13094006—24no—
222#13094005—24no—
223#13094005—24no—
224#13094005—42no—
225#13094001—24no—
226#13094001—24no—
227#13094001—24no—
228#13094001—24no—
229#13094001—42no—
230#13094001—42no—
231#13094000—24no—
232#13093996—24no—
233#13093996—24no—
234#13093996—24no—
235#13093995—42no—
236#13093995—42no—
237#13093993—24no—
238C4×Dic94—24no—
239D4×Dic47—24no—
240D4×Dic47—24no—
241(C22⋊D47)⋊C4—24no—
242(C22⋊D47)⋊C4D418yescomplemented
243#13093980—24no—
244#13093980—24no—
245C2×C4⋊Dic47C2311yescharacteristic
246C2×C4⋊Dic47C2311yescharacteristic
247C2×C4⋊Dic47C2311yescharacteristic
248C2×C4⋊Dic47C2311yescharacteristic
249C2×C4⋊Dic47C2311yescharacteristic
250C2×C4⋊Dic47C2311yescharacteristic
251C2×C4⋊Dic47C2311yescharacteristic
252C2×C4⋊Dic47C2311yescharacteristic
253C2×C4⋊Dic47C2311yescharacteristic
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×Dic47⋊C4C2311yescharacteristic
274C2×Dic47⋊C4C2311yescharacteristic
275C2×C22⋊Dic47C2311yescharacteristic
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×C22⋊Dic47C2311yescharacteristic
298C2×C22⋊Dic47C2311yescharacteristic
299C2×C22⋊Dic47C2311yescharacteristic
300C2×C22⋊Dic47C2311yescharacteristic
301C2×C22⋊Dic47C2311yescharacteristic
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×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×Q8×C47C2311yescharacteristic
348C22×D4×C47C2311yescharacteristic
349C22×D4×C47C2311yescharacteristic
350C22×D4×C47C2311yescharacteristic
351C22×D4×C47C2311yescharacteristic
352C22×D4×C47C2311yescharacteristic
353C22×D4×C47C2311yescharacteristic
354C22×D4×C47C2311yescharacteristic
355#124×C47—24no—
356#124×C47—42no—
357#120×C47—24no—
358#120×C47—42no—
359C2×C4⋊C4×C47C2311yescharacteristic
360C2×C4⋊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×C22⋊C4×C47C2311yescharacteristic
379C2×C42×C47C2311yescharacteristic
380C2×C42×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
396C24×C47C2411yescharacteristic
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—22no—
406C2×D4×C47—22no—
407C2×D4×C47—22no—
408C2×D4×C47—22no—
409C2×D4×C47—41no—
410C2×D4×C47—41no—
411C2×D4×C47—41no—
412C2×D4×C47—41no—
413C2×D4×C47—41no—
414C2×D4×C47—41no—
415C2×D4×C47—41no—
416C2×D4×C47—41no—
417C2×D4×C47—41no—
418C2×D4×C47—41no—
419C2×D4×C47—41no—
420C2×D4×C47—41no—
421C2×D4×C47—41no—
422C22×C4×C47C2411yescharacteristic
423C22×C4×C47C2411yescharacteristic
424C22×C4×C47C2411yescharacteristic
425C22×C4×C47C2411yescharacteristic
426C22×C4×C47C2411yescharacteristic
427C22×C4×C47C2411yescharacteristic
428C22×C4×C47C2411yescharacteristic
429C22×C4×C47C2411yescharacteristic
430C22×C4×C47C2411yescharacteristic
431C22×C4×C47C2411yescharacteristic
432C2×C22⋊D47—22no—
433C2×C22⋊D47—22no—
434C2×C22⋊D47—22no—
435C2×C22⋊D47—22no—
436C2×C22⋊D47—22no—
437C2×C22⋊D47—22no—
438C2×C22⋊D47—22no—
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⋊D47C2×D414yes—
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—22no—
457C22×Dic47—22no—
458C22×Dic47—22no—
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×Dic47C2411yescharacteristic
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×C4×D47—41no—
489C2×C4×D47—41no—
490C2×C4×D47—41no—
491C2×C4×D47—41no—
492C2×C4×D47—41no—
493C2×C4×D47—41no—
494C2×C4×D47—41no—
495C2×C4×D47—41no—
496C2×C4×D47C2×D414yes—
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—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—
523C22⋊C4×C47—41no—
524C22⋊C4×C47—41no—
525C22⋊C4×C47C2×D414yes—
526C42×C47—22no—
527C42×C47—41no—
528C22⋊Dic47—22no—
529C22⋊Dic47—22no—
530C22⋊Dic47—22no—
531C22⋊Dic47—22no—
532C22⋊Dic47—22no—
533C22⋊Dic47—22no—
534C22⋊Dic47—22no—
535C22⋊Dic47—22no—
536C22⋊Dic47—22no—
537C22⋊Dic47—22no—
538C22⋊Dic47—22no—
539C22⋊Dic47—22no—
540C22⋊Dic47—41no—
541C22⋊Dic47—41no—
542C22⋊Dic47—41no—
543C22⋊Dic47—41no—
544C22⋊Dic47—41no—
545C22⋊Dic47—41no—
546C22⋊Dic47—41no—
547C22⋊Dic47—41no—
548C22⋊Dic47—41no—
549C22⋊Dic47—41no—
550C22⋊Dic47—41no—
551C22⋊Dic47—41no—
552C22⋊Dic47—41no—
553C22⋊Dic47—41no—
554C22⋊Dic47—41no—
555(C2×D47)⋊C4—22no—
556(C2×D47)⋊C4—22no—
557(C2×D47)⋊C4—22no—
558(C2×D47)⋊C4—22no—
559(C2×D47)⋊C4—41no—
560(C2×D47)⋊C4—41no—
561(C2×D47)⋊C4C2×D414yes—
562C4⋊Dic47—22no—
563C4⋊Dic47—22no—
564C4⋊Dic47—22no—
565C4⋊Dic47—22no—
566C4⋊Dic47—22no—
567C4⋊Dic47—41no—
568C4⋊Dic47—41no—
569C4⋊Dic47—41no—
570C4⋊Dic47—41no—
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—22no—
583Dic47⋊C4—41no—
584Dic47⋊C4—41no—
585Dic47⋊C4—41no—
586Dic47⋊C4—41no—
587Dic47⋊C4—41no—
588Dic47⋊C4—41no—
589Dic47⋊C4—41no—
590Dic47⋊C4—41no—
591Dic47⋊C4C2×D414yes—
592C4×Dic47—22no—
593C4×Dic47—22no—
594C4×Dic47—22no—
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—21no—
622C23×C47—21no—
623C23×C47—21no—
624C23×C47—21no—
625C23×C47—21no—
626C23×C47—21no—
627C23×C47—21no—
628C23×C47—21no—
629C23×C47—44no—
630C23×C47—44no—
631C23×C47—44no—
632C23×C47—44no—
633C23×C47—44no—
634C23×C47—44no—
635C23×C47—44no—
636C23×C47C22×D412yes—
637C23×C47H(5,𝔽2)12yes—
638C23×C472−1+412yes—
639C23×C47C2511yescharacteristic
640C22×D47—21no—
641C22×D47—21no—
642C22×D47—21no—
643C22×D47—21no—
644C22×D47—21no—
645C22×D47—21no—
646C22×D47C22×D412yes—
647Q8×C47—82no—
648D4×C47—44no—
649D4×C47—44no—
650D4×C47—44no—
651D4×C47—82no—
652D4×C47—82no—
653D4×C47—82no—
654D4×C47—82no—
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×C47C22×D412yes—
684C2×C4×C47C22×D412yes—
685C22⋊D47—44no—
686C22⋊D47—44no—
687C22⋊D47—44no—
688C22⋊D47—44no—
689C22⋊D47—82no—
690C2×Dic47—28no—
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—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—21no—
732C2×Dic47—44no—
733C2×Dic47—44no—
734C2×Dic47—44no—
735C2×Dic47—44no—
736C2×Dic47—44no—
737C2×Dic47—44no—
738C2×Dic47—44no—
739C2×Dic47C22×D412yes—
740C2×Dic47C22×D412yes—
741C2×Dic47C22×D412yes—
742C2×Dic47H(5,𝔽2)12yes—
743C4×D47—44no—
744C4×D47—82no—
745C4×D47—82no—
746Dic94—44no—
747Dic94—44no—
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—416no—
760C22×C47—41no—
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×C47—41no—
778C22×C47—41no—
779C22×C47—41no—
780C22×C47—41no—
781C22×C47—41no—
782C22×C47—41no—
783C22×C47—41no—
784C22×C47—41no—
785C22×C47—41no—
786C22×C47C23×D411yescharacteristic
787C22×C47C2×H(5,𝔽2)11yescharacteristic
788C22×C47C2×H(5,𝔽2)11yescharacteristic
789C22×C47C2×2−1+411yescharacteristic
790C22×C47#58511yescharacteristic
791C22×C47#58511yescharacteristic
792C22×C47#58511yescharacteristic
793C2×D47—22no—
794C2×D47—22no—
795C2×D47—22no—
796C2×D47—41no—
797C2×D47—41no—
798C2×D47—41no—
799C2×D47—41no—
800C4×C47—22no—
801C4×C47—22no—
802C4×C47—41no—
803C4×C47—41no—
804C4×C47—41no—
805C4×C47—41no—
806C4×C47—41no—
807C4×C47—41no—
808C4×C47—41no—
809C4×C47—41no—
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—
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#2684—471no—
837#2677—471no—
838#2676—471no—
839#2674—471no—
840#2674—471no—
841#2672—471no—
842#2671—471no—
843#2670D4711yescharacteristic, complemented
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—81no—
860C2×C47—81no—
861C2×C47#344911yescharacteristic
862C2×C47#348411yescharacteristic
863C2×C47#348911yescharacteristic
864C2×C47#353311yescharacteristic
865C2×C47#353511yescharacteristic
866C2×C47#354011yescharacteristic
867C2×C47#354111yescharacteristic
868D47—42no—
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×#124C2×D4711yescharacteristic
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×#120C2×D4711yescharacteristic
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#397—471no—
923#397—471no—
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#393—471no—
951#393C2×D4711yescharacteristic
952#392—471no—
953#392C2×D4711yescharacteristic
954#392C2×D4711yescharacteristic
955#392C2×D4711yescharacteristic
956#391—471no—
957#390—471no—
958#390—471no—
959#390C2×D4711yescharacteristic
960#390C2×D4711yescharacteristic
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#386—471no—
994#386—471no—
995#386—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#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#379—471no—
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×D4C22×D4711yescharacteristic
1041C22×D4C22×D4711yescharacteristic
1042C22×D4C22×D4711yescharacteristic
1043C22×D4C22×D4711yescharacteristic
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—471no—
1058C23×C4—944no—
1059C23×C4—1882no—
1060C23×C4—1882no—
1061C4⋊Q8—944no—
1062C4⋊Q8—1882no—
1063#126—944no—
1064#126—944no—
1065#124—24no—
1066#124—42no—
1067#124—944no—
1068#124—944no—
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—42no—
1088#120—944no—
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×C42C22×D4711yescharacteristic
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#95—471no—
1216#95—471no—
1217#95—471no—
1218#95—471no—
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—
1231C24C23×D4711yescharacteristic
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—22no—
1254C2×D4—22no—
1255C2×D4—22no—
1256C2×D4—22no—
1257C2×D4—41no—
1258C2×D4—41no—
1259C2×D4—41no—
1260C2×D4—41no—
1261C2×D4—41no—
1262C2×D4—41no—
1263C2×D4—41no—
1264C2×D4—41no—
1265C2×D4—41no—
1266C2×D4—41no—
1267C2×D4—41no—
1268C2×D4—41no—
1269C2×D4—41no—
1270C2×D4—474no—
1271C2×D4—942no—
1272C2×D4—942no—
1273C2×D4—942no—
1274C2×D4—942no—
1275C2×D4—942no—
1276C2×D4—942no—
1277C2×D4—942no—
1278C2×D4—1881no—
1279C2×D4—1881no—
1280C2×D4—1881no—
1281C2×D4—1881no—
1282C2×D4—1881no—
1283C2×D4—1881no—
1284C2×D4—1881no—
1285C22×C4—471no—
1286C22×C4—471no—
1287C22×C4—471no—
1288C22×C4—471no—
1289C22×C4—474no—
1290C22×C4—474no—
1291C22×C4—471no—
1292C22×C4—471no—
1293C22×C4—471no—
1294C22×C4—471no—
1295C22×C4—471no—
1296C22×C4—471no—
1297C22×C4—471no—
1298C22×C4—471no—
1299C22×C4—471no—
1300C22×C4—471no—
1301C22×C4—471no—
1302C22×C4—942no—
1303C22×C4—942no—
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—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—1881no—
1325C22×C4—1881no—
1326C22×C4—1881no—
1327C22×C4—1881no—
1328C22×C4—1881no—
1329C22×C4—1881no—
1330C22×C4—1881no—
1331C22×C4—1881no—
1332C22×C4—1881no—
1333C22×C4—18816no—
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—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—41no—
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—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⋊C4D4×D4714yes—
1428C42—22no—
1429C42—41no—
1430C42—474no—
1431C42—942no—
1432C42—942no—
1433C42—942no—
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—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—44no—
1468C23—44no—
1469C23—44no—
1470C23—44no—
1471C23—44no—
1472C23—44no—
1473C23—44no—
1474C23—472no—
1475C23—941no—
1476C23—941no—
1477C23—941no—
1478C23—941no—
1479C23—941no—
1480C23—941no—
1481C23C2×D4×D4712yes—
1482C23#1309406912yes—
1483C23#1309407112yes—
1484C23C24×D4711yescharacteristic
1485Q8—82no—
1486Q8—3762no—
1487Q8—1884no—
1488Q8—1884no—
1489D4—44no—
1490D4—44no—
1491D4—44no—
1492D4—82no—
1493D4—82no—
1494D4—82no—
1495D4—82no—
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—472no—
1530C2×C4—472no—
1531C2×C4—472no—
1532C2×C4—472no—
1533C2×C4—948no—
1534C2×C4—941no—
1535C2×C4—941no—
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—941no—
1574C2×C4—941no—
1575C2×C4—3762no—
1576C2×C4—3762no—
1577C2×C4—1884no—
1578C2×C4—1884no—
1579C2×C4—1884no—
1580C2×C4—1884no—
1581C2×C4—1884no—
1582C2×C4—1884no—
1583C2×C4—1884no—
1584C2×C4—1884no—
1585C2×C4C2×D4×D4712yes—
1586C2×C4C2×D4×D4712yes—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—22no—
1595C22—22no—
1596C22—416no—
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—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—942no—
1624C22—942no—
1625C22—942no—
1626C22—1881no—
1627C22—1881no—
1628C22—1881no—
1629C22—1881no—
1630C22C22×D4×D4711yescharacteristic
1631C22H(5,𝔽2)×D4711yescharacteristic
1632C22C2×#1309406911yescharacteristic
1633C22C2×#1309407111yescharacteristic
1634C22#1568995811yescharacteristic
1635C22#1568995811yescharacteristic
1636C22#1568995811yescharacteristic
1637C4—22no—
1638C4—22no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—942no—
1648C4—942no—
1649C4—942no—
1650C4—942no—
1651C4—1881no—
1652C4—1881no—
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—81no—
1666C2—81no—
1667C2—1882no—
1668C2#2025671911yescharacteristic
1669C2#2025701611yescharacteristic
1670C2#2025705911yescharacteristic
1671C2#2025756111yescharacteristic
1672C2#2025758511yescharacteristic
1673C2#2025766111yescharacteristic
1674C2#2025766811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2670C2
hypercenter#2670D47
hypocenterC47#36712
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2670

Complements

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

NH ≅ G/Ntype
1. C2×#15689737C2semidirect
2. C2×#15689629C2semidirect
3. #20251678C2semidirect
4. #20251673C2semidirect
5. #20249937C2semidirect
6. #20249926C2semidirect
7. #20249881C2semidirect
8. #20249870C2semidirect
9. #20249837C2semidirect
10. #20249800C2semidirect
11. #20249775C2semidirect
12. #20249768C2semidirect
13. #20249697C2semidirect
14. #20249694C2semidirect
15. #20249663C2semidirect
16. #20249663C2semidirect
17. #20249645C2semidirect
18. #20249626C2semidirect
19. #20249592C2semidirect
20. #20249304C2semidirect
21. #20249224C2semidirect
22. #20249059C2semidirect
23. #20248997C2semidirect
24. #20248962C2semidirect
25. #20248947C2semidirect
26. #20248744C2semidirect
27. #20248565C2semidirect
28. #20247019C2semidirect
29. #20246991C2semidirect
30. #20246018C2semidirect
31. C47×#2670C2semidirect
35. C2×#13094022C22semidirect
36. C2×#13094022C22semidirect
37. C2×#13094018C22semidirect
40. C2×#13094010C22semidirect
43. C2×#13094006C22semidirect
52. C2×#13094001C22semidirect
53. C2×#13094000C22semidirect
58. C2×#13093995C22semidirect
60. C2×C4×Dic94C22semidirect
66. C2×#13093980C22semidirect
67. #15689063C22semidirect
68. #15689063C22semidirect
71. #15689059C22semidirect
72. #15689059C22semidirect
73. #15689057C22semidirect
74. #15689057C22semidirect
75. #15689056C22semidirect
76. #15689053C22semidirect
79. #15689051C22semidirect
80. #15689049C22semidirect
84. #15689046C22semidirect
85. #15689046C22semidirect
86. #15689046C22semidirect
87. #15689044C22semidirect
88. #15689044C22semidirect
89. #15689043C22semidirect
90. #15689042C22semidirect
92. #15689039C22semidirect
95. #15689038C22semidirect
96. #15689038C22semidirect
102. #15689037C22semidirect
105. #15689035C22semidirect
106. #15689035C22semidirect
107. #15689035C22semidirect
109. #15689029C22semidirect
112. #15689022C22semidirect
113. #15689021C22semidirect
114. #15689021C22semidirect
117. #15689017C22semidirect
118. #15689017C22semidirect
121. #15689016C22semidirect
123. #15689009C22semidirect
124. #15689008C22semidirect
125. #15689007C22semidirect
126. #15689007C22semidirect
127. #15689005C22semidirect
128. #15689005C22semidirect
129. #15689005C22semidirect
130. #15689005C22semidirect
137. #15689003C22semidirect
138. #15689003C22semidirect
144. #15688999C22semidirect
148. #15688998C22semidirect
149. #15688997C22semidirect
157. #15688995C22semidirect
158. #15688995C22semidirect
159. #15688995C22semidirect
160. #15688994C22semidirect
161. #15688990C22semidirect
162. #15688988C22semidirect
165. #15688982C22semidirect
166. #15688982C22semidirect
172. C4×(C2×D47)⋊C4C22semidirect
173. #95×D47C22semidirect
242. (C22⋊D47)⋊C4D4semidirect
843. #2670D47semidirect
1026. C47#36712semidirect

Maximal subgroups

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

subgroupindex
C2×#156897372
C2×#156896292
#202516782
#202516732
#202499372
#202499262
#202498812
#202498702
#202498372
#202498002
#202497752
#202497682
#202496972
#202496942
#202496632
#202496452
#202496262
#202495922
#202493042
#202492242
#202490592
#202489972
#202489622
#202489472
#202487442
#202485652
#202470192
#202469912
#202460182
C47×#26702
#3671247