Finite Group Databasebeta

← #26388963

Subgroups — #26388963

Order 12032.

2878 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689718C211yesmaximal, characteristic, complemented
2C22×D4×Dic47C211yesmaximal, characteristic, complemented
3#20251701C211yesmaximal, characteristic, complemented
4#20251694C211yesmaximal, characteristic, complemented
5#20251678C211yesmaximal, characteristic, complemented
6#20251673C211yesmaximal, characteristic, complemented
7#20249304C211yesmaximal, characteristic, complemented
8#20249282C211yesmaximal, characteristic, complemented
9#20249255C211yesmaximal, characteristic, complemented
10#20249224C211yesmaximal, characteristic, complemented
11#20247631C211yesmaximal, characteristic, complemented
12#20247526C211yesmaximal, characteristic, complemented
13#20247417C211yesmaximal, characteristic, complemented
14#20247378C211yesmaximal, characteristic, complemented
15#20247333C211yesmaximal, characteristic, complemented
16#20247264C211yesmaximal, characteristic, complemented
17#20247203C211yesmaximal, characteristic, complemented
18#20247201C211yesmaximal, characteristic, complemented
19#20247119C211yesmaximal, characteristic, complemented
20#20247049C211yesmaximal, characteristic, complemented
21#20246945C211yesmaximal, characteristic, complemented
22#20246863C211yesmaximal, characteristic, complemented
23#20246846C211yesmaximal, characteristic, complemented
24#20246785C211yesmaximal, characteristic, complemented
25#20246711C211yesmaximal, characteristic, complemented
26#20246093C211yesmaximal, characteristic, complemented
27#20246062C211yesmaximal, characteristic, complemented
28#20246014C211yesmaximal, characteristic, complemented
29#120×Dic47C211yesmaximal, characteristic, complemented
30C2×#15688995C211yesmaximal, characteristic, complemented
31C47×#2410C211yesmaximal, characteristic
32C24×Dic47C2211yescharacteristic
33C24×Dic47C2211yescharacteristic
34#15689718—28no—
35C2×#13094017C2211yescharacteristic, complemented
36C2×#13094017C2211yescharacteristic, complemented
37C2×#13094014C2211yescharacteristic, complemented
38C2×#13094014C2211yescharacteristic, complemented
39C2×#13094005C2211yescharacteristic
40C2×#13094005C2211yescharacteristic
41C2×#13094005C2211yescharacteristic, complemented
42C2×#13094005C2211yescharacteristic, complemented
43C2×#13094005C2211yescharacteristic, complemented
44C2×#13094005C2211yescharacteristic, complemented
45C2×#13094003C2211yescharacteristic, complemented
46C2×#13094001C2211yescharacteristic
47C2×#13094001C2211yescharacteristic, complemented
48C2×#13094001C2211yescharacteristic, complemented
49C2×#13094001C2211yescharacteristic, complemented
50C2×D4×Dic47—28no—
51C2×D4×Dic47C2211yescharacteristic
52C2×D4×Dic47C2211yescharacteristic
53C2×D4×Dic47C2211yescharacteristic
54C2×D4×Dic47C2211yescharacteristic
55C2×D4×Dic47C2211yescharacteristic
56C2×D4×Dic47C2211yescharacteristic
57C2×D4×Dic47C2211yescharacteristic
58C2×D4×Dic47C2211yescharacteristic
59C2×D4×Dic47C2211yescharacteristic
60C2×D4×Dic47C2211yescharacteristic, complemented
61C2×D4×Dic47C2211yescharacteristic, complemented
62C22×C4⋊Dic47C2211yescharacteristic
63C22×Dic47⋊C4C2211yescharacteristic, complemented
64C22×Dic47⋊C4C2211yescharacteristic, complemented
65C22×C22⋊Dic47C2211yescharacteristic
66C22×C22⋊Dic47C2211yescharacteristic
67C22×C22⋊Dic47C2211yescharacteristic
68C22×C4×Dic47C2211yescharacteristic
69#15689063C2211yescharacteristic, complemented
70#15689059C2211yescharacteristic, complemented
71#15689059C2211yescharacteristic, complemented
72#15689059C2211yescharacteristic, complemented
73#15689057C2211yescharacteristic, complemented
74#15689056C2211yescharacteristic, complemented
75#15689055C2211yescharacteristic, complemented
76#15689053C2211yescharacteristic, complemented
77#15689051C2211yescharacteristic, complemented
78#15689051C2211yescharacteristic, complemented
79#15689051C2211yescharacteristic, complemented
80#15689051C2211yescharacteristic, complemented
81#15689048C2211yescharacteristic, complemented
82#15689048C2211yescharacteristic, complemented
83#15689046C2211yescharacteristic, complemented
84#15689046C2211yescharacteristic, complemented
85#15689046C2211yescharacteristic, complemented
86#15689046C2211yescharacteristic, complemented
87#15689044C2211yescharacteristic, complemented
88#15689037C2211yescharacteristic
89#15689037C2211yescharacteristic
90#15689037C2211yescharacteristic
91#15689037C2211yescharacteristic
92#15689037C2211yescharacteristic, complemented
93#15689037C2211yescharacteristic, complemented
94#15689037C2211yescharacteristic, complemented
95#15689037C2211yescharacteristic, complemented
96#15689035C2211yescharacteristic, complemented
97#15689020C2211yescharacteristic, complemented
98#15689020C2211yescharacteristic, complemented
99#15689020C2211yescharacteristic, complemented
100#15689018C2211yescharacteristic, complemented
101#15689017C2211yescharacteristic, complemented
102#15689017C2211yescharacteristic, complemented
103#15689016C2211yescharacteristic, complemented
104#15689016C2211yescharacteristic, complemented
105#15689011C2211yescharacteristic, complemented
106#15689011C2211yescharacteristic, complemented
107#15689011C2211yescharacteristic, complemented
108#15689011C2211yescharacteristic, complemented
109#15689010C2211yescharacteristic, complemented
110#15689009C2211yescharacteristic, complemented
111#15689009C2211yescharacteristic, complemented
112#15689008C2211yescharacteristic, complemented
113#15689008C2211yescharacteristic, complemented
114#15689008C2211yescharacteristic, complemented
115#15689006C2211yescharacteristic, complemented
116#15689005C2211yescharacteristic, complemented
117#15689005C2211yescharacteristic, complemented
118#15689004C2211yescharacteristic, complemented
119#15689003C2211yescharacteristic
120#15689003C2211yescharacteristic
121#15689003C2211yescharacteristic
122#15689003C2211yescharacteristic
123#15689003C2211yescharacteristic
124#15689003C2211yescharacteristic, complemented
125#15689003C2211yescharacteristic, complemented
126#15689003C2211yescharacteristic, complemented
127#15689003C2211yescharacteristic, complemented
128#15689003C2211yescharacteristic, complemented
129#15689003C2211yescharacteristic, complemented
130#15688998C2211yescharacteristic
131#15688998C2211yescharacteristic
132#15688998C2211yescharacteristic, complemented
133#15688998C2211yescharacteristic, complemented
134#15688998C2211yescharacteristic, complemented
135#15688998C2211yescharacteristic, complemented
136#15688998C2211yescharacteristic, complemented
137#15688996C2211yescharacteristic
138#15688996C2211yescharacteristic
139#15688996C2211yescharacteristic, complemented
140#15688996C2211yescharacteristic, complemented
141#15688995C2211yescharacteristic
142#15688995C2211yescharacteristic
143#15688995C2211yescharacteristic
144#15688995C2211yescharacteristic
145#15688995C2211yescharacteristic
146#15688995C2211yescharacteristic, complemented
147#15688995C2211yescharacteristic, complemented
148#15688995C2211yescharacteristic, complemented
149#15688995C2211yescharacteristic, complemented
150#15688995C2211yescharacteristic, complemented
151#15688995C2211yescharacteristic, complemented
152#15688995C2211yescharacteristic, complemented
153#15688995C2211yescharacteristic, complemented
154#15688995C2211yescharacteristic, complemented
155#15688990C2211yescharacteristic, complemented
156#15688987C2211yescharacteristic, complemented
157#15688984C2211yescharacteristic, complemented
158#15688984C2211yescharacteristic, complemented
159#15688984C2211yescharacteristic, complemented
160#15688983C2211yescharacteristic, complemented
161#15688981C2211yescharacteristic
162#15688981C2211yescharacteristic
163#15688981C2211yescharacteristic
164#15688981C2211yescharacteristic, complemented
165#15688981C2211yescharacteristic, complemented
166#15688979C2211yescharacteristic
167#15688979C2211yescharacteristic
168#15688979C2211yescharacteristic
169C22⋊C4×Dic47C2211yescharacteristic
170C22⋊C4×Dic47C2211yescharacteristic, complemented
171C22⋊C4×Dic47C2211yescharacteristic, complemented
172C2×C47⋊#95C2211yescharacteristic, complemented
173C2×C47⋊#95C2211yescharacteristic, complemented
174C23×D4×C47C2211yescharacteristic
175C2×#121×C47C2211yescharacteristic
176C2×#121×C47C2211yescharacteristic
177C2×#120×C47C2211yescharacteristic
178C2×#120×C47C2211yescharacteristic
179C22×C22⋊C4×C47C2211yescharacteristic
180C47×#394C2211yescharacteristic
181C47×#394C2211yescharacteristic
182C47×#392C2211yescharacteristic
183C47×#392C2211yescharacteristic
184C47×#386C2211yescharacteristic
185C47×#386C2211yescharacteristic
186C47×#386C2211yescharacteristic
187C47×#385C2211yescharacteristic
188C47×#379C2211yescharacteristic
189C22×Dic94C2311yescharacteristic
190C23×Dic47—24no—
191C23×Dic47—24no—
192C23×Dic47—42no—
193C23×Dic47—42no—
194C23×Dic47—42no—
195C23×Dic47—42no—
196C23×Dic47C2311yescharacteristic
197C23×Dic47C2311yescharacteristic
198C23×Dic47C2311yescharacteristic
199C23×Dic47C2311yescharacteristic
200C23×Dic47C2311yescharacteristic
201C23×Dic47C2311yescharacteristic
202C23×Dic47C2311yescharacteristic
203C23×Dic47C2311yescharacteristic
204C23×Dic47C2311yescharacteristic
205C23×Dic47C2311yescharacteristic
206C23×Dic47C2311yescharacteristic
207C23×Dic47C2311yescharacteristic
208C23×Dic47C2311yescharacteristic
209C23×Dic47C2311yescharacteristic
210C23×Dic47C2311yescharacteristic
211#13094017—24no—
212#13094017—24no—
213#13094014—24no—
214#13094014—24no—
215#13094005—24no—
216#13094005—24no—
217#13094005—24no—
218#13094005—24no—
219#13094005—24no—
220#13094005—42no—
221#13094003—24no—
222#13094001—24no—
223#13094001—24no—
224#13094001—42no—
225#13094001—42no—
226D4×Dic47—24no—
227D4×Dic47—24no—
228D4×Dic47—24no—
229D4×Dic47—24no—
230D4×Dic47—24no—
231D4×Dic47—24no—
232D4×Dic47—24no—
233D4×Dic47—24no—
234D4×Dic47—42no—
235D4×Dic47—42no—
236D4×Dic47D418yescomplemented
237C2×C4⋊Dic47—24no—
238C2×C4⋊Dic47C2311yescharacteristic
239C2×C4⋊Dic47C2311yescharacteristic
240C2×C4⋊Dic47C2311yescharacteristic
241C2×C4⋊Dic47C2311yescharacteristic
242C2×C4⋊Dic47C2311yescharacteristic
243C2×C4⋊Dic47C2311yescharacteristic
244C2×C4⋊Dic47C2311yescharacteristic
245C2×C4⋊Dic47C2311yescharacteristic
246C2×C4⋊Dic47C2311yescharacteristic
247C2×C4⋊Dic47C2311yescharacteristic
248C2×Dic47⋊C4—24no—
249C2×Dic47⋊C4—42no—
250C2×Dic47⋊C4C2311yescharacteristic
251C2×Dic47⋊C4C2311yescharacteristic
252C2×Dic47⋊C4C2311yescharacteristic
253C2×Dic47⋊C4C2311yescharacteristic
254C2×Dic47⋊C4C2311yescharacteristic
255C2×Dic47⋊C4C2311yescharacteristic
256C2×Dic47⋊C4C2311yescharacteristic
257C2×Dic47⋊C4C2311yescharacteristic
258C2×Dic47⋊C4C2311yescharacteristic
259C2×Dic47⋊C4C2311yescharacteristic
260C2×Dic47⋊C4C2311yescharacteristic
261C2×Dic47⋊C4C2311yescharacteristic
262C2×Dic47⋊C4C2311yescharacteristic
263C2×Dic47⋊C4C2311yescharacteristic
264C2×Dic47⋊C4C2311yescharacteristic
265C2×Dic47⋊C4C2311yescharacteristic
266C2×Dic47⋊C4C2311yescharacteristic
267C2×Dic47⋊C4C2311yescharacteristic
268C2×Dic47⋊C4C2311yescharacteristic
269C2×Dic47⋊C4C2311yescharacteristic
270C2×Dic47⋊C4C2311yescharacteristic
271C2×Dic47⋊C4C2311yescharacteristic
272C2×C22⋊Dic47—24no—
273C2×C22⋊Dic47—24no—
274C2×C22⋊Dic47—24no—
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×C22⋊Dic47C2311yescharacteristic
303C2×C22⋊Dic47C2311yescharacteristic
304C2×C22⋊Dic47C2311yescharacteristic
305C2×C22⋊Dic47C2311yescharacteristic
306C2×C22⋊Dic47C2311yescharacteristic
307C2×C22⋊Dic47C2311yescharacteristic
308C2×C4×Dic47—24no—
309C2×C4×Dic47C2311yescharacteristic
310C2×C4×Dic47C2311yescharacteristic
311C2×C4×Dic47C2311yescharacteristic
312C2×C4×Dic47C2311yescharacteristic
313C2×C4×Dic47C2311yescharacteristic
314C2×C4×Dic47C2311yescharacteristic
315C2×C4×Dic47C2311yescharacteristic
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
346C47⋊#95C2311yescharacteristic
347C47⋊#95C2311yescharacteristic
348C25×C47C2311yescharacteristic
349C25×C47C2311yescharacteristic
350C22×D4×C47—24no—
351C22×D4×C47—24no—
352C22×D4×C47—24no—
353C22×D4×C47C2311yescharacteristic
354C22×D4×C47C2311yescharacteristic
355C22×D4×C47C2311yescharacteristic
356C22×D4×C47C2311yescharacteristic
357C22×D4×C47C2311yescharacteristic
358C22×D4×C47C2311yescharacteristic
359C22×D4×C47C2311yescharacteristic
360C22×D4×C47C2311yescharacteristic
361C22×D4×C47C2311yescharacteristic
362C23×C4×C47C2311yescharacteristic
363C23×C4×C47C2311yescharacteristic
364C23×C4×C47C2311yescharacteristic
365#121×C47—24no—
366#121×C47—24no—
367#120×C47—24no—
368#120×C47—42no—
369C2×C4⋊C4×C47C2311yescharacteristic
370C2×C4⋊C4×C47C2311yescharacteristic
371C2×C22⋊C4×C47—42no—
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×C22⋊C4×C47C2311yescharacteristic
380C2×C22⋊C4×C47C2311yescharacteristic
381C2×C22⋊C4×C47C2311yescharacteristic
382C2×C22⋊C4×C47C2311yescharacteristic
383C2×C22⋊C4×C47C2311yescharacteristic
384C2×C22⋊C4×C47C2311yescharacteristic
385C2×C22⋊C4×C47C2311yescharacteristic
386C2×C22⋊C4×C47C2311yescharacteristic
387#95×C47C2311yescharacteristic
388#95×C47C2311yescharacteristic
389#95×C47C2311yescharacteristic
390#95×C47C2311yescharacteristic
391C24×C47—22no—
392C24×C47—22no—
393C24×C47—22no—
394C24×C47—22no—
395C24×C47—22no—
396C24×C47—22no—
397C24×C47—22no—
398C24×C47—22no—
399C24×C47—22no—
400C24×C47—41no—
401C24×C47—41no—
402C24×C47—41no—
403C24×C47—41no—
404C24×C47#4114yes—
405C24×C47C2411yescharacteristic
406C24×C47C2411yescharacteristic
407C24×C47C2411yescharacteristic
408C24×C47C2411yescharacteristic
409C24×C47C2411yescharacteristic
410C24×C47C2411yescharacteristic
411C2×D4×C47—232no—
412C2×D4×C47—22no—
413C2×D4×C47—22no—
414C2×D4×C47—22no—
415C2×D4×C47—22no—
416C2×D4×C47—22no—
417C2×D4×C47—22no—
418C2×D4×C47—22no—
419C2×D4×C47—22no—
420C2×D4×C47—22no—
421C2×D4×C47—22no—
422C2×D4×C47—22no—
423C2×D4×C47—22no—
424C2×D4×C47—22no—
425C2×D4×C47—22no—
426C2×D4×C47—22no—
427C2×D4×C47—22no—
428C2×D4×C47—22no—
429C2×D4×C47—22no—
430C2×D4×C47—22no—
431C2×D4×C47—41no—
432C2×D4×C47—41no—
433C2×D4×C47—41no—
434C2×D4×C47—41no—
435C2×D4×C47—41no—
436C2×D4×C47—41no—
437C2×D4×C47C2×D414yes—
438C2×D4×C47#4114yes—
439C22×C4×C47—22no—
440C22×C4×C47—22no—
441C22×C4×C47—22no—
442C22×C4×C47—22no—
443C22×C4×C47—22no—
444C22×C4×C47—41no—
445C22×C4×C47—41no—
446C22×C4×C47—41no—
447C22×C4×C47—41no—
448C22×C4×C47C2411yescharacteristic
449C22×C4×C47C2411yescharacteristic
450C22×C4×C47C2411yescharacteristic
451C22×C4×C47C2411yescharacteristic
452C22×C4×C47C2411yescharacteristic
453C22×C4×C47C2411yescharacteristic
454C22×C4×C47C2411yescharacteristic
455C22×C4×C47C2411yescharacteristic
456C22×C4×C47C2411yescharacteristic
457C22×Dic47—22no—
458C22×Dic47—22no—
459C22×Dic47—22no—
460C22×Dic47—22no—
461C22×Dic47—22no—
462C22×Dic47—22no—
463C22×Dic47—22no—
464C22×Dic47—22no—
465C22×Dic47—22no—
466C22×Dic47—22no—
467C22×Dic47—22no—
468C22×Dic47—22no—
469C22×Dic47—22no—
470C22×Dic47—22no—
471C22×Dic47—22no—
472C22×Dic47—22no—
473C22×Dic47—22no—
474C22×Dic47—22no—
475C22×Dic47—22no—
476C22×Dic47—22no—
477C22×Dic47—22no—
478C22×Dic47—22no—
479C22×Dic47—22no—
480C22×Dic47—22no—
481C22×Dic47—41no—
482C22×Dic47—41no—
483C22×Dic47—41no—
484C22×Dic47—41no—
485C22×Dic47—41no—
486C22×Dic47—41no—
487C22×Dic47—41no—
488C22×Dic47—41no—
489C22×Dic47—41no—
490C22×Dic47—41no—
491C22×Dic47—41no—
492C22×Dic47—41no—
493C22×Dic47—41no—
494C22×Dic47—41no—
495C22×Dic47—41no—
496C22×Dic47—41no—
497C22×Dic47—41no—
498C22×Dic47—41no—
499C22×Dic47—41no—
500C22×Dic47—416no—
501C22×Dic47—416no—
502C22×Dic47C2×D414yes—
503C22×Dic47C2×D414yes—
504C22×Dic47C2411yescharacteristic
505C22×Dic47C2411yescharacteristic
506C22×Dic47C2411yescharacteristic
507C22×Dic47C2411yescharacteristic
508C22×Dic47C2411yescharacteristic
509C22×Dic47C2411yescharacteristic
510C22×Dic47C2411yescharacteristic
511C22×Dic47C2411yescharacteristic
512C22×Dic47C2411yescharacteristic
513C22×Dic47C2411yescharacteristic
514C22×Dic47C2411yescharacteristic
515C22×Dic47C2411yescharacteristic
516C22×Dic47C2411yescharacteristic
517C22×Dic47C2411yescharacteristic
518C22×Dic47C2411yescharacteristic
519C22×Dic47C2411yescharacteristic
520C2×Dic94—22no—
521C2×Dic94—41no—
522C2×Dic94—41no—
523C4⋊C4×C47—22no—
524C4⋊C4×C47—22no—
525C22⋊C4×C47—22no—
526C22⋊C4×C47—22no—
527C22⋊C4×C47—22no—
528C22⋊C4×C47—22no—
529C22⋊C4×C47—22no—
530C22⋊C4×C47—22no—
531C22⋊C4×C47—22no—
532C22⋊C4×C47—22no—
533C22⋊C4×C47—22no—
534C22⋊C4×C47—41no—
535C22⋊C4×C47—41no—
536C22⋊C4×C47—41no—
537C22⋊C4×C47—41no—
538C22⋊C4×C47—41no—
539C22⋊C4×C47—41no—
540C22⋊Dic47—22no—
541C22⋊Dic47—22no—
542C22⋊Dic47—22no—
543C22⋊Dic47—22no—
544C22⋊Dic47—22no—
545C22⋊Dic47—22no—
546C22⋊Dic47—22no—
547C22⋊Dic47—22no—
548C22⋊Dic47—22no—
549C22⋊Dic47—22no—
550C22⋊Dic47—22no—
551C22⋊Dic47—22no—
552C22⋊Dic47—22no—
553C22⋊Dic47—22no—
554C22⋊Dic47—22no—
555C22⋊Dic47—22no—
556C22⋊Dic47—22no—
557C22⋊Dic47—22no—
558C22⋊Dic47—22no—
559C22⋊Dic47—22no—
560C22⋊Dic47—22no—
561C22⋊Dic47—22no—
562C22⋊Dic47—41no—
563C22⋊Dic47—41no—
564C22⋊Dic47—41no—
565C22⋊Dic47—41no—
566C22⋊Dic47—41no—
567C22⋊Dic47—41no—
568C22⋊Dic47—41no—
569C22⋊Dic47—41no—
570C22⋊Dic47—41no—
571C22⋊Dic47C2×D414yes—
572C22⋊Dic47C2×D414yes—
573C4⋊Dic47—22no—
574C4⋊Dic47—22no—
575C4⋊Dic47—22no—
576C4⋊Dic47—22no—
577C4⋊Dic47—22no—
578C4⋊Dic47—22no—
579C4⋊Dic47—41no—
580C4⋊Dic47—41no—
581C4⋊Dic47—41no—
582C4⋊Dic47C2×D414yes—
583Dic47⋊C4—22no—
584Dic47⋊C4—22no—
585Dic47⋊C4—22no—
586Dic47⋊C4—22no—
587Dic47⋊C4—22no—
588Dic47⋊C4—22no—
589Dic47⋊C4—22no—
590Dic47⋊C4—22no—
591Dic47⋊C4—22no—
592Dic47⋊C4—22no—
593Dic47⋊C4—22no—
594Dic47⋊C4—22no—
595Dic47⋊C4—22no—
596Dic47⋊C4—22no—
597Dic47⋊C4—41no—
598Dic47⋊C4—41no—
599Dic47⋊C4—41no—
600Dic47⋊C4—41no—
601Dic47⋊C4—41no—
602Dic47⋊C4—41no—
603Dic47⋊C4—41no—
604Dic47⋊C4—41no—
605C4×Dic47—22no—
606C4×Dic47—22no—
607C4×Dic47—22no—
608C4×Dic47—22no—
609C4×Dic47—41no—
610C4×Dic47—41no—
611C4×Dic47C2×D414yes—
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—28no—
621C23×C47—28no—
622C23×C47—28no—
623C23×C47—21no—
624C23×C47—21no—
625C23×C47—21no—
626C23×C47—21no—
627C23×C47—21no—
628C23×C47—21no—
629C23×C47—21no—
630C23×C47—21no—
631C23×C47—21no—
632C23×C47—21no—
633C23×C47—21no—
634C23×C47—21no—
635C23×C47—21no—
636C23×C47—21no—
637C23×C47—21no—
638C23×C47—21no—
639C23×C47—21no—
640C23×C47—21no—
641C23×C47—21no—
642C23×C47—21no—
643C23×C47—21no—
644C23×C47—21no—
645C23×C47—21no—
646C23×C47—21no—
647C23×C47—21no—
648C23×C47—44no—
649C23×C47—44no—
650C23×C47—44no—
651C23×C47—44no—
652C23×C47—44no—
653C23×C47—44no—
654C23×C47—44no—
655C23×C47—44no—
656C23×C47—44no—
657C23×C47—44no—
658C23×C47—44no—
659C23×C47C22×D412yes—
660C23×C47C22×D412yes—
661C23×C47C2×#4112yes—
662C23×C47C2×#4112yes—
663C23×C47C2×#4112yes—
664C23×C47C2×#4112yes—
665C23×C47C2×#4112yes—
666C23×C47H(5,𝔽2)12yes—
667C23×C472−1+412yes—
668C23×C47C2511yescharacteristic
669D4×C47—28no—
670D4×C47—28no—
671D4×C47—28no—
672D4×C47—28no—
673D4×C47—44no—
674D4×C47—44no—
675D4×C47—44no—
676D4×C47—82no—
677D4×C47—82no—
678C2×C4×C47—28no—
679C2×C4×C47—21no—
680C2×C4×C47—21no—
681C2×C4×C47—21no—
682C2×C4×C47—21no—
683C2×C4×C47—21no—
684C2×C4×C47—21no—
685C2×C4×C47—21no—
686C2×C4×C47—21no—
687C2×C4×C47—21no—
688C2×C4×C47—21no—
689C2×C4×C47—21no—
690C2×C4×C47—21no—
691C2×C4×C47—21no—
692C2×C4×C47—21no—
693C2×C4×C47—21no—
694C2×C4×C47—21no—
695C2×C4×C47—21no—
696C2×C4×C47—21no—
697C2×C4×C47—21no—
698C2×C4×C47—21no—
699C2×C4×C47—21no—
700C2×C4×C47—21no—
701C2×C4×C47—21no—
702C2×C4×C47—21no—
703C2×C4×C47—21no—
704C2×C4×C47—82no—
705C2×C4×C47—82no—
706C2×C4×C47C22×D412yes—
707C2×C4×C47C2×#4112yes—
708C2×Dic47—28no—
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—21no—
733C2×Dic47—21no—
734C2×Dic47—21no—
735C2×Dic47—21no—
736C2×Dic47—21no—
737C2×Dic47—21no—
738C2×Dic47—21no—
739C2×Dic47—21no—
740C2×Dic47—21no—
741C2×Dic47—21no—
742C2×Dic47—21no—
743C2×Dic47—21no—
744C2×Dic47—21no—
745C2×Dic47—21no—
746C2×Dic47—21no—
747C2×Dic47—21no—
748C2×Dic47—21no—
749C2×Dic47—21no—
750C2×Dic47—21no—
751C2×Dic47—21no—
752C2×Dic47—44no—
753C2×Dic47—44no—
754C2×Dic47—44no—
755C2×Dic47—44no—
756C2×Dic47—44no—
757C2×Dic47—44no—
758C2×Dic47—44no—
759C2×Dic47—44no—
760C2×Dic47—44no—
761C2×Dic47—44no—
762C2×Dic47—44no—
763C2×Dic47—44no—
764C2×Dic47—44no—
765C2×Dic47—82no—
766C2×Dic47C22×D412yes—
767C2×Dic47C22×D412yes—
768C2×Dic47C22×D412yes—
769C2×Dic47C22×D412yes—
770C2×Dic47H(5,𝔽2)12yes—
771Dic94—82no—
772#34991—471nomaximal, Sylow
773C22×C47—22no—
774C22×C47—22no—
775C22×C47—22no—
776C22×C47—22no—
777C22×C47—22no—
778C22×C47—22no—
779C22×C47—22no—
780C22×C47—22no—
781C22×C47—22no—
782C22×C47—22no—
783C22×C47—22no—
784C22×C47—22no—
785C22×C47—22no—
786C22×C47—22no—
787C22×C47—22no—
788C22×C47—22no—
789C22×C47—22no—
790C22×C47—22no—
791C22×C47—22no—
792C22×C47—22no—
793C22×C47—22no—
794C22×C47—416no—
795C22×C47—416no—
796C22×C47—41no—
797C22×C47—41no—
798C22×C47—41no—
799C22×C47—41no—
800C22×C47—41no—
801C22×C47—41no—
802C22×C47—41no—
803C22×C47—41no—
804C22×C47—41no—
805C22×C47—41no—
806C22×C47—41no—
807C22×C47—41no—
808C22×C47—41no—
809C22×C47—41no—
810C22×C47—41no—
811C22×C47—41no—
812C22×C47—41no—
813C22×C47—41no—
814C22×C47—41no—
815C22×C47#52514yes—
816C22×C47#53914yescomplemented
817C22×C47C23×D411yescharacteristic
818C22×C47C22×#4111yescharacteristic
819C22×C47C22×#4111yescharacteristic
820C22×C47C2×H(5,𝔽2)11yescharacteristic
821C22×C47C2×H(5,𝔽2)11yescharacteristic
822C22×C47C2×2−1+411yescharacteristic
823C22×C47#58511yescharacteristic
824C4×C47—22no—
825C4×C47—22no—
826C4×C47—41no—
827C4×C47—41no—
828C4×C47—41no—
829C4×C47—41no—
830C4×C47—41no—
831C4×C47—41no—
832C4×C47—41no—
833Dic47—22no—
834Dic47—22no—
835Dic47—22no—
836Dic47—22no—
837Dic47—22no—
838Dic47—41no—
839Dic47—41no—
840Dic47—41no—
841Dic47—41no—
842Dic47—41no—
843Dic47—41no—
844Dic47—41no—
845Dic47—41no—
846Dic47—41no—
847Dic47—41no—
848Dic47—41no—
849C2×#539—471no—
850C22×C4×D4—471no—
851#2852—471no—
852#2851—471no—
853#2849—471no—
854#2848—471no—
855#2638—471no—
856#2636—471no—
857#2633—471no—
858#2630—471no—
859#2480—471no—
860#2473—471no—
861#2466—471no—
862#2463—471no—
863#2460—471no—
864#2455—471no—
865#2449—471no—
866#2449—471no—
867#2443—471no—
868#2437—471no—
869#2425—471no—
870#2419—471no—
871#2418—471no—
872#2412—471no—
873#2410D4711yescharacteristic
874#2405—471no—
875#2325—471no—
876#2322—471no—
877#2318—471no—
878C4×#120—471no—
879C2×#385—471no—
880C2×C47—24no—
881C2×C47—24no—
882C2×C47—42no—
883C2×C47—42no—
884C2×C47—42no—
885C2×C47—81no—
886C2×C47C2×#52511yescharacteristic
887C2×C47C2×#53911yescharacteristic
888C2×C47#345911yescharacteristic
889C2×C47#348411yescharacteristic
890C2×C47#348911yescharacteristic
891C2×C47#351311yescharacteristic
892C2×C47#352011yescharacteristic
893C23×D4C2×D4711yescharacteristic
894C24×C4—471no—
895C24×C4—471no—
896#539—948no—
897C2×#126—471no—
898C2×#126—471no—
899C2×#125—471no—
900C2×#125—471no—
901C2×#123—471no—
902C2×#123—471no—
903C2×#123—471no—
904C2×#123—471no—
905C2×#123—471no—
906C2×#123—471no—
907C2×C22⋊Q8—471no—
908C2×C22⋊Q8—471no—
909C2×C22⋊Q8—471no—
910C2×C22⋊Q8—471no—
911C2×C22⋊Q8—471no—
912C2×#121C2×D4711yescharacteristic
913C2×#121C2×D4711yescharacteristic
914C2×#120C2×D4711yescharacteristic
915C2×#120C2×D4711yescharacteristic
916C2×C4×D4—471no—
917C2×C4×D4—471no—
918C2×C4×D4—471no—
919C2×C4×D4—471no—
920C2×C4×D4—471no—
921C2×C4×D4—471no—
922C2×C4×D4—471no—
923C2×C4×D4—471no—
924C2×C4×D4—471no—
925C2×C4×D4—471no—
926C2×C4×D4—471no—
927C2×C4×D4—948no—
928C22×C4⋊C4—471no—
929C22×C4⋊C4—471no—
930C22×C4⋊C4—471no—
931C22×C22⋊C4—471no—
932C22×C22⋊C4—471no—
933C22×C22⋊C4—471no—
934C22×C22⋊C4C2×D4711yescharacteristic
935C22×C42—471no—
936#400—471no—
937#399—471no—
938#399—471no—
939#399—471no—
940#398—471no—
941#398—471no—
942#398—471no—
943#398—471no—
944#397—471no—
945#397—471no—
946#397—471no—
947#397—471no—
948#397—471no—
949#397—471no—
950#396—471no—
951#396—471no—
952#396—471no—
953#396—471no—
954#395—471no—
955#394—471no—
956#394—471no—
957#394—471no—
958#394—471no—
959#394—471no—
960#394—471no—
961#394—471no—
962#394—471no—
963#394C2×D4711yescharacteristic
964#394C2×D4711yescharacteristic
965#393—471no—
966#392C2×D4711yescharacteristic
967#392C2×D4711yescharacteristic
968#389—471no—
969#389—471no—
970#389—471no—
971#389—471no—
972#388—471no—
973#388—471no—
974#388—471no—
975#388—471no—
976#388—471no—
977#388—471no—
978#388—471no—
979#388—471no—
980#387—471no—
981#387—471no—
982#387—471no—
983#387—471no—
984#387—471no—
985#387—471no—
986#387—471no—
987#387—471no—
988#387—471no—
989#387—471no—
990#386—471no—
991#386—471no—
992#386—471no—
993#386—471no—
994#386—471no—
995#386—471no—
996#386—471no—
997#386—471no—
998#386—471no—
999#386—471no—
1000#386—471no—
1001#386C2×D4711yescharacteristic
1002#386C2×D4711yescharacteristic
1003#386C2×D4711yescharacteristic
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#385—471no—
1013#385—471no—
1014#385—471no—
1015#385—471no—
1016#385—471no—
1017#385—471no—
1018#385—471no—
1019#385—471no—
1020#385—471no—
1021#385—471no—
1022#385—471no—
1023#385—471no—
1024#385—471no—
1025#385—471no—
1026#385—471no—
1027#385—471no—
1028#385—471no—
1029#385C2×D4711yescharacteristic
1030#383—471no—
1031#382—471no—
1032#381—471no—
1033#381—471no—
1034#381—471no—
1035#380—471no—
1036#380—471no—
1037#380—471no—
1038#380—471no—
1039#380—471no—
1040#380—471no—
1041#379—471no—
1042#379—471no—
1043#379—471no—
1044#379C2×D4711yescharacteristic
1045C4×C22⋊C4—471no—
1046C4×C22⋊C4—471no—
1047C4×C22⋊C4—471no—
1048C2×#95—471no—
1049C2×#95—471no—
1050C47#3499111yescharacteristic, complemented, Sylow
1051C25C22×D4711yescharacteristic
1052C25C22×D4711yescharacteristic
1053C22×Q8—471no—
1054C22×D4—24no—
1055C22×D4—24no—
1056C22×D4—24no—
1057C22×D4C22×D4711yescharacteristic
1058C22×D4C22×D4711yescharacteristic
1059C22×D4C22×D4711yescharacteristic
1060C22×D4C22×D4711yescharacteristic
1061C22×D4C22×D4711yescharacteristic
1062C22×D4C22×D4711yescharacteristic
1063C22×D4C22×D4711yescharacteristic
1064C22×D4C22×D4711yescharacteristic
1065C22×D4C22×D4711yescharacteristic
1066C23×C4—471no—
1067C23×C4—471no—
1068C23×C4—471no—
1069C23×C4—471no—
1070C23×C4—471no—
1071C23×C4—471no—
1072C23×C4—471no—
1073C23×C4—471no—
1074C23×C4—471no—
1075C23×C4—471no—
1076C23×C4—471no—
1077C23×C4—471no—
1078C23×C4—471no—
1079C23×C4—471no—
1080C23×C4—471no—
1081C23×C4—944no—
1082C23×C4—944no—
1083C23×C4—1882no—
1084C23×C4—1882no—
1085C23×C4—1882no—
1086C23×C4—1882no—
1087C23×C4C22×D4711yescharacteristic
1088C23×C4C22×D4711yescharacteristic
1089C23×C4C22×D4711yescharacteristic
1090#126—944no—
1091#126—944no—
1092#125—944no—
1093#125—944no—
1094#123—944no—
1095#123—944no—
1096#123—944no—
1097#123—944no—
1098#123—944no—
1099#123—1882no—
1100C22⋊Q8—944no—
1101C22⋊Q8—944no—
1102C22⋊Q8—944no—
1103C22⋊Q8—1882no—
1104C22⋊Q8—1882no—
1105#121—24no—
1106#121—24no—
1107#120—24no—
1108#120—42no—
1109C4×D4—478no—
1110C4×D4—944no—
1111C4×D4—944no—
1112C4×D4—944no—
1113C4×D4—944no—
1114C4×D4—944no—
1115C4×D4—944no—
1116C4×D4—944no—
1117C4×D4—944no—
1118C4×D4—1882no—
1119C4×D4—1882no—
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⋊C4—471no—
1127C2×C4⋊C4—471no—
1128C2×C4⋊C4—471no—
1129C2×C4⋊C4—471no—
1130C2×C4⋊C4—471no—
1131C2×C4⋊C4—471no—
1132C2×C4⋊C4—471no—
1133C2×C4⋊C4—471no—
1134C2×C4⋊C4—471no—
1135C2×C4⋊C4—471no—
1136C2×C4⋊C4—471no—
1137C2×C4⋊C4—471no—
1138C2×C4⋊C4—471no—
1139C2×C4⋊C4—471no—
1140C2×C4⋊C4—471no—
1141C2×C4⋊C4—471no—
1142C2×C4⋊C4—471no—
1143C2×C4⋊C4—471no—
1144C2×C4⋊C4—471no—
1145C2×C4⋊C4—471no—
1146C2×C4⋊C4—471no—
1147C2×C4⋊C4—471no—
1148C2×C4⋊C4—471no—
1149C2×C4⋊C4—471no—
1150C2×C4⋊C4—471no—
1151C2×C4⋊C4—471no—
1152C2×C4⋊C4—944no—
1153C2×C4⋊C4—944no—
1154C2×C4⋊C4—1882no—
1155C2×C4⋊C4C22×D4711yescharacteristic
1156C2×C4⋊C4C22×D4711yescharacteristic
1157C2×C22⋊C4—42no—
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⋊C4—471no—
1165C2×C22⋊C4—471no—
1166C2×C22⋊C4—471no—
1167C2×C22⋊C4—471no—
1168C2×C22⋊C4—471no—
1169C2×C22⋊C4—471no—
1170C2×C22⋊C4—471no—
1171C2×C22⋊C4—471no—
1172C2×C22⋊C4—471no—
1173C2×C22⋊C4—471no—
1174C2×C22⋊C4—471no—
1175C2×C22⋊C4—471no—
1176C2×C22⋊C4—471no—
1177C2×C22⋊C4—471no—
1178C2×C22⋊C4—471no—
1179C2×C22⋊C4—471no—
1180C2×C22⋊C4—471no—
1181C2×C22⋊C4—471no—
1182C2×C22⋊C4—471no—
1183C2×C22⋊C4—471no—
1184C2×C22⋊C4—471no—
1185C2×C22⋊C4—471no—
1186C2×C22⋊C4—471no—
1187C2×C22⋊C4—471no—
1188C2×C22⋊C4—471no—
1189C2×C22⋊C4—471no—
1190C2×C22⋊C4—471no—
1191C2×C22⋊C4—944no—
1192C2×C22⋊C4—944no—
1193C2×C22⋊C4—944no—
1194C2×C22⋊C4C22×D4711yescharacteristic
1195C2×C22⋊C4C22×D4711yescharacteristic
1196C2×C22⋊C4C22×D4711yescharacteristic
1197C2×C22⋊C4C22×D4711yescharacteristic
1198C2×C22⋊C4C22×D4711yescharacteristic
1199C2×C22⋊C4C22×D4711yescharacteristic
1200C2×C22⋊C4C22×D4711yescharacteristic
1201C2×C22⋊C4C22×D4711yescharacteristic
1202C2×C22⋊C4C22×D4711yescharacteristic
1203C2×C22⋊C4C22×D4711yescharacteristic
1204C2×C22⋊C4C22×D4711yescharacteristic
1205C2×C22⋊C4C22×D4711yescharacteristic
1206C2×C22⋊C4C22×D4711yescharacteristic
1207C2×C22⋊C4C22×D4711yescharacteristic
1208C2×C22⋊C4C22×D4711yescharacteristic
1209C2×C42—471no—
1210C2×C42—471no—
1211C2×C42—471no—
1212C2×C42—471no—
1213C2×C42—471no—
1214C2×C42—471no—
1215C2×C42—471no—
1216C2×C42—944no—
1217#95—471no—
1218#95—471no—
1219#95—471no—
1220#95—471no—
1221#95—471no—
1222#95—471no—
1223#95—471no—
1224#95—471no—
1225#95—471no—
1226#95—471no—
1227#95—471no—
1228#95—471no—
1229#95—471no—
1230#95—471no—
1231#95—471no—
1232#95—471no—
1233#95—471no—
1234#95—471no—
1235#95—471no—
1236#95—471no—
1237#95—471no—
1238#95—471no—
1239#95—471no—
1240#95—471no—
1241#95—471no—
1242#95—471no—
1243#95—471no—
1244#95—471no—
1245#95—471no—
1246#95—471no—
1247#95—471no—
1248#95—471no—
1249#95C22×D4711yescharacteristic
1250#95C22×D4711yescharacteristic
1251#95C22×D4711yescharacteristic
1252#95C22×D4711yescharacteristic
1253C24—22no—
1254C24—22no—
1255C24—22no—
1256C24—22no—
1257C24—22no—
1258C24—22no—
1259C24—22no—
1260C24—22no—
1261C24—22no—
1262C24—41no—
1263C24—41no—
1264C24—41no—
1265C24—41no—
1266C24#1062535214yes—
1267C24C23×D4711yescharacteristic
1268C24C23×D4711yescharacteristic
1269C24C23×D4711yescharacteristic
1270C24C23×D4711yescharacteristic
1271C24C23×D4711yescharacteristic
1272C24C23×D4711yescharacteristic
1273C2×Q8—942no—
1274C2×Q8—1881no—
1275C2×Q8—1881no—
1276C2×D4—232no—
1277C2×D4—22no—
1278C2×D4—22no—
1279C2×D4—22no—
1280C2×D4—22no—
1281C2×D4—22no—
1282C2×D4—22no—
1283C2×D4—22no—
1284C2×D4—22no—
1285C2×D4—22no—
1286C2×D4—22no—
1287C2×D4—22no—
1288C2×D4—22no—
1289C2×D4—22no—
1290C2×D4—22no—
1291C2×D4—22no—
1292C2×D4—22no—
1293C2×D4—22no—
1294C2×D4—22no—
1295C2×D4—22no—
1296C2×D4—41no—
1297C2×D4—41no—
1298C2×D4—41no—
1299C2×D4—41no—
1300C2×D4—41no—
1301C2×D4—41no—
1302C2×D4D4×D4714yes—
1303C2×D4#1062535214yes—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—41no—
1310C22×C4—41no—
1311C22×C4—41no—
1312C22×C4—41no—
1313C22×C4—471no—
1314C22×C4—471no—
1315C22×C4—471no—
1316C22×C4—471no—
1317C22×C4—471no—
1318C22×C4—474no—
1319C22×C4—474no—
1320C22×C4—471no—
1321C22×C4—471no—
1322C22×C4—471no—
1323C22×C4—471no—
1324C22×C4—471no—
1325C22×C4—471no—
1326C22×C4—471no—
1327C22×C4—471no—
1328C22×C4—471no—
1329C22×C4—471no—
1330C22×C4—471no—
1331C22×C4—942no—
1332C22×C4—942no—
1333C22×C4—942no—
1334C22×C4—942no—
1335C22×C4—942no—
1336C22×C4—942no—
1337C22×C4—942no—
1338C22×C4—942no—
1339C22×C4—942no—
1340C22×C4—942no—
1341C22×C4—942no—
1342C22×C4—942no—
1343C22×C4—942no—
1344C22×C4—942no—
1345C22×C4—942no—
1346C22×C4—942no—
1347C22×C4—942no—
1348C22×C4—942no—
1349C22×C4—942no—
1350C22×C4—942no—
1351C22×C4—942no—
1352C22×C4—942no—
1353C22×C4—942no—
1354C22×C4—942no—
1355C22×C4—1881no—
1356C22×C4—1881no—
1357C22×C4—1881no—
1358C22×C4—1881no—
1359C22×C4—1881no—
1360C22×C4—1881no—
1361C22×C4—1881no—
1362C22×C4—1881no—
1363C22×C4—1881no—
1364C22×C4—1881no—
1365C22×C4—1881no—
1366C22×C4—1881no—
1367C22×C4—1881no—
1368C22×C4—1881no—
1369C22×C4—1881no—
1370C22×C4—1881no—
1371C22×C4—1881no—
1372C22×C4—1881no—
1373C22×C4—1881no—
1374C22×C4—18816no—
1375C22×C4—18816no—
1376C22×C4C23×D4711yescharacteristic
1377C22×C4C23×D4711yescharacteristic
1378C22×C4C23×D4711yescharacteristic
1379C22×C4C23×D4711yescharacteristic
1380C22×C4C23×D4711yescharacteristic
1381C22×C4C23×D4711yescharacteristic
1382C22×C4C23×D4711yescharacteristic
1383C22×C4C23×D4711yescharacteristic
1384C22×C4C23×D4711yescharacteristic
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—474no—
1388C4⋊C4—942no—
1389C4⋊C4—942no—
1390C4⋊C4—942no—
1391C4⋊C4—942no—
1392C4⋊C4—942no—
1393C4⋊C4—942no—
1394C4⋊C4—942no—
1395C4⋊C4—942no—
1396C4⋊C4—942no—
1397C4⋊C4—942no—
1398C4⋊C4—942no—
1399C4⋊C4—942no—
1400C4⋊C4—942no—
1401C4⋊C4—942no—
1402C4⋊C4—942no—
1403C4⋊C4—942no—
1404C4⋊C4—942no—
1405C4⋊C4—942no—
1406C4⋊C4—942no—
1407C4⋊C4—942no—
1408C4⋊C4—1881no—
1409C4⋊C4—1881no—
1410C4⋊C4—1881no—
1411C4⋊C4—1881no—
1412C4⋊C4—1881no—
1413C4⋊C4—1881no—
1414C4⋊C4—1881no—
1415C4⋊C4—1881no—
1416C4⋊C4—1881no—
1417C4⋊C4—1881no—
1418C4⋊C4—1881no—
1419C22⋊C4—22no—
1420C22⋊C4—22no—
1421C22⋊C4—22no—
1422C22⋊C4—22no—
1423C22⋊C4—22no—
1424C22⋊C4—22no—
1425C22⋊C4—22no—
1426C22⋊C4—22no—
1427C22⋊C4—22no—
1428C22⋊C4—41no—
1429C22⋊C4—41no—
1430C22⋊C4—41no—
1431C22⋊C4—41no—
1432C22⋊C4—41no—
1433C22⋊C4—41no—
1434C22⋊C4—474no—
1435C22⋊C4—474no—
1436C22⋊C4—942no—
1437C22⋊C4—942no—
1438C22⋊C4—942no—
1439C22⋊C4—942no—
1440C22⋊C4—942no—
1441C22⋊C4—942no—
1442C22⋊C4—942no—
1443C22⋊C4—942no—
1444C22⋊C4—942no—
1445C22⋊C4—942no—
1446C22⋊C4—942no—
1447C22⋊C4—942no—
1448C22⋊C4—942no—
1449C22⋊C4—942no—
1450C22⋊C4—942no—
1451C22⋊C4—942no—
1452C22⋊C4—942no—
1453C22⋊C4—942no—
1454C22⋊C4—942no—
1455C22⋊C4—942no—
1456C22⋊C4—942no—
1457C22⋊C4—942no—
1458C22⋊C4—1881no—
1459C22⋊C4—1881no—
1460C22⋊C4—1881no—
1461C22⋊C4—1881no—
1462C22⋊C4—1881no—
1463C22⋊C4—1881no—
1464C22⋊C4—1881no—
1465C22⋊C4—1881no—
1466C22⋊C4—1881no—
1467C42—474no—
1468C42—942no—
1469C42—942no—
1470C42—942no—
1471C42—942no—
1472C42—1881no—
1473C42—1881no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—28no—
1483C23—28no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—28no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—44no—
1511C23—44no—
1512C23—44no—
1513C23—44no—
1514C23—44no—
1515C23—44no—
1516C23—44no—
1517C23—44no—
1518C23—44no—
1519C23—44no—
1520C23—44no—
1521C23C2×D4×D4712yes—
1522C23C2×D4×D4712yes—
1523C23C2×#1062535212yes—
1524C23C2×#1062535212yes—
1525C23C2×#1062535212yes—
1526C23C2×#1062535212yes—
1527C23C2×#1062535212yes—
1528C23#1309406912yes—
1529C23#1309407112yes—
1530C23C24×D4711yescharacteristic
1531Q8—3762no—
1532D4—28no—
1533D4—28no—
1534D4—28no—
1535D4—28no—
1536D4—44no—
1537D4—44no—
1538D4—44no—
1539D4—82no—
1540D4—82no—
1541C2×C4—28no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—82no—
1568C2×C4—82no—
1569C2×C4—472no—
1570C2×C4—472no—
1571C2×C4—472no—
1572C2×C4—472no—
1573C2×C4—472no—
1574C2×C4—948no—
1575C2×C4—941no—
1576C2×C4—941no—
1577C2×C4—941no—
1578C2×C4—941no—
1579C2×C4—941no—
1580C2×C4—941no—
1581C2×C4—941no—
1582C2×C4—941no—
1583C2×C4—941no—
1584C2×C4—941no—
1585C2×C4—941no—
1586C2×C4—941no—
1587C2×C4—941no—
1588C2×C4—941no—
1589C2×C4—941no—
1590C2×C4—941no—
1591C2×C4—941no—
1592C2×C4—941no—
1593C2×C4—941no—
1594C2×C4—941no—
1595C2×C4—941no—
1596C2×C4—941no—
1597C2×C4—941no—
1598C2×C4—941no—
1599C2×C4—941no—
1600C2×C4—941no—
1601C2×C4—941no—
1602C2×C4—941no—
1603C2×C4—941no—
1604C2×C4—941no—
1605C2×C4—941no—
1606C2×C4—941no—
1607C2×C4—941no—
1608C2×C4—941no—
1609C2×C4—941no—
1610C2×C4—941no—
1611C2×C4—941no—
1612C2×C4—941no—
1613C2×C4—941no—
1614C2×C4—941no—
1615C2×C4—941no—
1616C2×C4—941no—
1617C2×C4—941no—
1618C2×C4—3762no—
1619C2×C4—1884no—
1620C2×C4—1884no—
1621C2×C4—1884no—
1622C2×C4—1884no—
1623C2×C4—1884no—
1624C2×C4—1884no—
1625C2×C4—1884no—
1626C2×C4—1884no—
1627C2×C4—1884no—
1628C2×C4—1884no—
1629C2×C4—1884no—
1630C2×C4—1884no—
1631C2×C4—1884no—
1632C2×C4C2×D4×D4712yes—
1633C2×C4C2×#1062535212yes—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—22no—
1644C22—22no—
1645C22—22no—
1646C22—22no—
1647C22—22no—
1648C22—22no—
1649C22—22no—
1650C22—22no—
1651C22—22no—
1652C22—22no—
1653C22—22no—
1654C22—22no—
1655C22—416no—
1656C22—416no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22#1568962914yes—
1677C22#1568971814yescomplemented
1678C22C22×D4×D4711yescharacteristic
1679C22C22×#1062535211yescharacteristic
1680C22C22×#1062535211yescharacteristic
1681C22H(5,𝔽2)×D4711yescharacteristic
1682C22C2×#1309406911yescharacteristic
1683C22C2×#1309407111yescharacteristic
1684C22#1568995811yescharacteristic
1685C4—22no—
1686C4—22no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—942no—
1695C4—942no—
1696C4—942no—
1697C4—942no—
1698C4—942no—
1699C4—1881no—
1700C4—1881no—
1701C4—1881no—
1702C4—1881no—
1703C4—1881no—
1704C4—1881no—
1705C4—1881no—
1706C4—1881no—
1707C4—1881no—
1708C4—1881no—
1709C4—1881no—
1710C2—24no—
1711C2—24no—
1712C2—42no—
1713C2—42no—
1714C2—42no—
1715C2—81no—
1716C2C2×#1568962911yescharacteristic
1717C2C2×#1568971811yescharacteristic
1718C2#2025679411yescharacteristic
1719C2#2025701611yescharacteristic
1720C2#2025705911yescharacteristic
1721C2#2025731311yescharacteristic
1722C2#2025742411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
Fitting, prime radicalC47×#2410C2
hypercenter#2410D47
hypocenterC47#34991
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2410

Complements

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

NH ≅ G/Ntype
1. C2×#15689718C2semidirect
2. C22×D4×Dic47C2semidirect
3. #20251701C2semidirect
4. #20251694C2semidirect
5. #20251678C2semidirect
6. #20251673C2semidirect
7. #20249304C2semidirect
8. #20249282C2semidirect
9. #20249255C2semidirect
10. #20249224C2semidirect
11. #20247631C2semidirect
12. #20247526C2semidirect
13. #20247417C2semidirect
14. #20247378C2semidirect
15. #20247333C2semidirect
16. #20247264C2semidirect
17. #20247203C2semidirect
18. #20247201C2semidirect
19. #20247119C2semidirect
20. #20247049C2semidirect
21. #20246945C2semidirect
22. #20246863C2semidirect
23. #20246846C2semidirect
24. #20246785C2semidirect
25. #20246711C2semidirect
26. #20246093C2semidirect
27. #20246062C2semidirect
28. #20246014C2semidirect
29. #120×Dic47C2semidirect
30. C2×#15688995C2semidirect
35. C2×#13094017C22semidirect
36. C2×#13094017C22semidirect
37. C2×#13094014C22semidirect
38. C2×#13094014C22semidirect
41. C2×#13094005C22semidirect
42. C2×#13094005C22semidirect
43. C2×#13094005C22semidirect
44. C2×#13094005C22semidirect
45. C2×#13094003C22semidirect
47. C2×#13094001C22semidirect
48. C2×#13094001C22semidirect
49. C2×#13094001C22semidirect
60. C2×D4×Dic47C22semidirect
61. C2×D4×Dic47C22semidirect
63. C22×Dic47⋊C4C22semidirect
64. C22×Dic47⋊C4C22semidirect
69. #15689063C22semidirect
70. #15689059C22semidirect
71. #15689059C22semidirect
72. #15689059C22semidirect
73. #15689057C22semidirect
74. #15689056C22semidirect
75. #15689055C22semidirect
76. #15689053C22semidirect
77. #15689051C22semidirect
78. #15689051C22semidirect
79. #15689051C22semidirect
80. #15689051C22semidirect
81. #15689048C22semidirect
82. #15689048C22semidirect
83. #15689046C22semidirect
84. #15689046C22semidirect
85. #15689046C22semidirect
86. #15689046C22semidirect
87. #15689044C22semidirect
92. #15689037C22semidirect
93. #15689037C22semidirect
94. #15689037C22semidirect
95. #15689037C22semidirect
96. #15689035C22semidirect
97. #15689020C22semidirect
98. #15689020C22semidirect
99. #15689020C22semidirect
100. #15689018C22semidirect
101. #15689017C22semidirect
102. #15689017C22semidirect
103. #15689016C22semidirect
104. #15689016C22semidirect
105. #15689011C22semidirect
106. #15689011C22semidirect
107. #15689011C22semidirect
108. #15689011C22semidirect
109. #15689010C22semidirect
110. #15689009C22semidirect
111. #15689009C22semidirect
112. #15689008C22semidirect
113. #15689008C22semidirect
114. #15689008C22semidirect
115. #15689006C22semidirect
116. #15689005C22semidirect
117. #15689005C22semidirect
118. #15689004C22semidirect
124. #15689003C22semidirect
125. #15689003C22semidirect
126. #15689003C22semidirect
127. #15689003C22semidirect
128. #15689003C22semidirect
129. #15689003C22semidirect
132. #15688998C22semidirect
133. #15688998C22semidirect
134. #15688998C22semidirect
135. #15688998C22semidirect
136. #15688998C22semidirect
139. #15688996C22semidirect
140. #15688996C22semidirect
146. #15688995C22semidirect
147. #15688995C22semidirect
148. #15688995C22semidirect
149. #15688995C22semidirect
150. #15688995C22semidirect
151. #15688995C22semidirect
152. #15688995C22semidirect
153. #15688995C22semidirect
154. #15688995C22semidirect
155. #15688990C22semidirect
156. #15688987C22semidirect
157. #15688984C22semidirect
158. #15688984C22semidirect
159. #15688984C22semidirect
160. #15688983C22semidirect
164. #15688981C22semidirect
165. #15688981C22semidirect
170. C22⋊C4×Dic47C22semidirect
171. C22⋊C4×Dic47C22semidirect
172. C2×C47⋊#95C22semidirect
173. C2×C47⋊#95C22semidirect
236. D4×Dic47D4semidirect
816. C22×C47#539semidirect
1050. C47#34991semidirect
1677. C22#15689718semidirect

Maximal subgroups

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

subgroupindex
C2×#156897182
C22×D4×Dic472
#202517012
#202516942
#202516782
#202516732
#202493042
#202492822
#202492552
#202492242
#202476312
#202475262
#202474172
#202473782
#202473332
#202472642
#202472032
#202472012
#202471192
#202470492
#202469452
#202468632
#202468462
#202467852
#202467112
#202460932
#202460622
#202460142
#120×Dic472
C2×#156889952
C47×#24102
#3499147