Finite Group Databasebeta

← #26386237

Subgroups — #26386237

Order 12032.

1994 conjugacy classes of subgroups.

The subgroup lattice has 1410 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20247818C211yesmaximal, characteristic, complemented
2#20247814C211yesmaximal, characteristic, complemented
3#20247807C211yesmaximal, characteristic, complemented
4#20247803C211yesmaximal, characteristic, complemented
5#20247796C211yesmaximal, characteristic, complemented
6#20247792C211yesmaximal, characteristic, complemented
7#20247785C211yesmaximal, characteristic, complemented
8#20247781C211yesmaximal, characteristic, complemented
9#20247779C211yesmaximal, characteristic, complemented
10#20247775C211yesmaximal, characteristic, complemented
11#20247771C211yesmaximal, characteristic, complemented
12#20247767C211yesmaximal, characteristic, complemented
13#20247633C211yesmaximal, characteristic
14#20247631C211yesmaximal, characteristic
15#20247628C211yesmaximal, characteristic
16#20246690C211yesmaximal, characteristic, complemented
17#20246685C211yesmaximal, characteristic, complemented
18#20246685C211yesmaximal, characteristic, complemented
19#20246685C211yesmaximal, characteristic, complemented
20#20245942C211yesmaximal, characteristic, complemented
21#20245942C211yesmaximal, characteristic, complemented
22#20245942C211yesmaximal, characteristic, complemented
23#126×Dic47C211yesmaximal, characteristic, complemented
24#20245867C211yesmaximal, characteristic, complemented
25#20245867C211yesmaximal, characteristic, complemented
26#20245790C211yesmaximal, characteristic, complemented
27#20245766C211yesmaximal, characteristic
28#20245766C211yesmaximal, characteristic
29C4×#13093980C211yesmaximal, characteristic, complemented
30C2×C22⋊C4×Dic47C211yesmaximal, characteristic
31C47×#2480C211yesmaximal, characteristic
32C24×Dic47C2211yescharacteristic
33C2×#13094017C2211yescharacteristic
34C2×#13094017C2211yescharacteristic
35C2×#13094017C2211yescharacteristic
36C2×#13093980C2211yescharacteristic
37C2×#13093980C2211yescharacteristic
38C2×#13093980C2211yescharacteristic
39C2×#13093980C2211yescharacteristic
40C22×C22⋊Dic47C2211yescharacteristic
41C22×C4×Dic47C2211yescharacteristic
42C22×C4×Dic47C2211yescharacteristic
43C47⋊#401C2211yescharacteristic, complemented
44C47⋊#401C2211yescharacteristic, complemented
45C47⋊#401C2211yescharacteristic, complemented
46C47⋊#401C2211yescharacteristic, complemented
47#15689065C2211yescharacteristic, complemented
48#15689065C2211yescharacteristic, complemented
49#15689065C2211yescharacteristic, complemented
50#15689064C2211yescharacteristic, complemented
51#15689064C2211yescharacteristic, complemented
52#15689064C2211yescharacteristic, complemented
53#15689062C2211yescharacteristic, complemented
54#15689062C2211yescharacteristic, complemented
55#15689062C2211yescharacteristic, complemented
56#15689061C2211yescharacteristic, complemented
57#15689061C2211yescharacteristic, complemented
58#15689061C2211yescharacteristic, complemented
59#15689051C2211yescharacteristic
60#15689051C2211yescharacteristic
61#15689051C2211yescharacteristic
62#15689051C2211yescharacteristic
63#15689051C2211yescharacteristic
64#15689051C2211yescharacteristic
65#15689048C2211yescharacteristic
66#15689048C2211yescharacteristic
67#15689048C2211yescharacteristic
68#15689046C2211yescharacteristic
69#15689046C2211yescharacteristic
70#15689046C2211yescharacteristic
71#15689020C2211yescharacteristic, complemented
72#15689020C2211yescharacteristic, complemented
73#15689020C2211yescharacteristic, complemented
74#15689020C2211yescharacteristic, complemented
75#15689018C2211yescharacteristic, complemented
76#15689018C2211yescharacteristic, complemented
77#15689018C2211yescharacteristic, complemented
78#15689018C2211yescharacteristic, complemented
79#15689017C2211yescharacteristic
80#15689017C2211yescharacteristic
81#15689017C2211yescharacteristic
82#15689016C2211yescharacteristic
83#15689016C2211yescharacteristic
84#15689016C2211yescharacteristic
85#15689011C2211yescharacteristic
86#15689011C2211yescharacteristic
87#15689011C2211yescharacteristic
88#15689009C2211yescharacteristic, complemented
89#15689009C2211yescharacteristic, complemented
90#15689009C2211yescharacteristic, complemented
91#15689007C2211yescharacteristic, complemented
92#15689007C2211yescharacteristic, complemented
93#15689007C2211yescharacteristic, complemented
94#15689006C2211yescharacteristic, complemented
95#15689006C2211yescharacteristic, complemented
96#15689006C2211yescharacteristic, complemented
97#15689004C2211yescharacteristic, complemented
98#15689004C2211yescharacteristic, complemented
99#15689004C2211yescharacteristic, complemented
100#15688998C2211yescharacteristic
101#15688998C2211yescharacteristic
102#15688996C2211yescharacteristic
103#15688996C2211yescharacteristic
104#15688995C2211yescharacteristic
105#15688995C2211yescharacteristic
106#15688992C2211yescharacteristic, complemented
107#15688992C2211yescharacteristic, complemented
108#15688991C2211yescharacteristic, complemented
109#15688990C2211yescharacteristic, complemented
110#15688990C2211yescharacteristic, complemented
111#15688990C2211yescharacteristic, complemented
112#15688987C2211yescharacteristic, complemented
113#15688987C2211yescharacteristic, complemented
114#15688984C2211yescharacteristic
115#15688984C2211yescharacteristic
116#15688984C2211yescharacteristic
117#15688984C2211yescharacteristic
118#15688983C2211yescharacteristic
119#15688981C2211yescharacteristic
120#15688981C2211yescharacteristic
121#15688981C2211yescharacteristic
122#15688981C2211yescharacteristic
123#15688981C2211yescharacteristic
124#15688981C2211yescharacteristic
125#15688981C2211yescharacteristic
126#15688981C2211yescharacteristic
127#15688981C2211yescharacteristic
128#15688981C2211yescharacteristic
129#15688979C2211yescharacteristic
130#15688979C2211yescharacteristic
131C4⋊C4×Dic47C2211yescharacteristic, complemented
132C4⋊C4×Dic47C2211yescharacteristic, complemented
133C4⋊C4×Dic47C2211yescharacteristic, complemented
134C4⋊C4×Dic47C2211yescharacteristic, complemented
135C4⋊C4×Dic47C2211yescharacteristic, complemented
136C4⋊C4×Dic47C2211yescharacteristic, complemented
137C4×Dic47⋊C4C2211yescharacteristic, complemented
138C4×Dic47⋊C4C2211yescharacteristic, complemented
139#15688974C2211yescharacteristic, complemented
140#15688974C2211yescharacteristic, complemented
141#15688974C2211yescharacteristic, complemented
142#15688974C2211yescharacteristic, complemented
143#15688974C2211yescharacteristic, complemented
144#15688974C2211yescharacteristic, complemented
145#15688974C2211yescharacteristic, complemented
146#15688974C2211yescharacteristic, complemented
147C22⋊C4×Dic47C2211yescharacteristic
148C22⋊C4×Dic47C2211yescharacteristic
149C22⋊C4×Dic47C2211yescharacteristic
150C22⋊C4×Dic47C2211yescharacteristic
151C22⋊C4×Dic47C2211yescharacteristic
152C22⋊C4×Dic47C2211yescharacteristic
153C22⋊C4×Dic47C2211yescharacteristic
154C22⋊C4×Dic47C2211yescharacteristic
155C22⋊C4×Dic47C2211yescharacteristic
156C22⋊C4×Dic47C2211yescharacteristic
157C22⋊C4×Dic47C2211yescharacteristic
158C22⋊C4×Dic47C2211yescharacteristic
159C22⋊C4×Dic47C2211yescharacteristic
160C22⋊C4×Dic47C2211yescharacteristic
161C22⋊C4×Dic47C2211yescharacteristic
162C22⋊C4×Dic47C2211yescharacteristic
163C22⋊C4×Dic47C2211yescharacteristic
164C22⋊C4×Dic47C2211yescharacteristic
165C4×C22⋊Dic47C2211yescharacteristic
166#15688968C2211yescharacteristic, complemented
167#15688968C2211yescharacteristic, complemented
168C2×C47⋊#95C2211yescharacteristic
169C2×C47⋊#95C2211yescharacteristic
170C42×Dic47C2211yescharacteristic, complemented
171C42×Dic47C2211yescharacteristic, complemented
172C2×#126×C47C2211yescharacteristic
173C22×C22⋊C4×C47C2211yescharacteristic
174C47×#397C2211yescharacteristic
175C47×#397C2211yescharacteristic
176C47×#397C2211yescharacteristic
177C47×#396C2211yescharacteristic
178C47×#388C2211yescharacteristic
179C47×#388C2211yescharacteristic
180C47×#388C2211yescharacteristic
181C47×#385C2211yescharacteristic
182C47×#385C2211yescharacteristic
183C47×#380C2211yescharacteristic
184C47×#379C2211yescharacteristic
185C47×#379C2211yescharacteristic
186C4×C22⋊C4×C47C2211yescharacteristic
187C23×Dic47—24no—
188C23×Dic47—24no—
189C23×Dic47—24no—
190C23×Dic47C2311yescharacteristic
191C23×Dic47C2311yescharacteristic
192C23×Dic47C2311yescharacteristic
193C23×Dic47C2311yescharacteristic
194C23×Dic47C2311yescharacteristic
195C23×Dic47C2311yescharacteristic
196C23×Dic47C2311yescharacteristic
197C23×Dic47C2311yescharacteristic
198#13094017—24no—
199#13094017—24no—
200#13094017—24no—
201#13093980—24no—
202#13093980—24no—
203#13093980—24no—
204#13093980—24no—
205C2×C4⋊Dic47C2311yescharacteristic
206C2×C4⋊Dic47C2311yescharacteristic
207C2×C4⋊Dic47C2311yescharacteristic
208C2×C4⋊Dic47C2311yescharacteristic
209C2×C4⋊Dic47C2311yescharacteristic
210C2×C4⋊Dic47C2311yescharacteristic
211C2×Dic47⋊C4C2311yescharacteristic
212C2×Dic47⋊C4C2311yescharacteristic
213C2×Dic47⋊C4C2311yescharacteristic
214C2×Dic47⋊C4C2311yescharacteristic
215C2×Dic47⋊C4C2311yescharacteristic
216C2×Dic47⋊C4C2311yescharacteristic
217C2×Dic47⋊C4C2311yescharacteristic
218C2×Dic47⋊C4C2311yescharacteristic
219C2×Dic47⋊C4C2311yescharacteristic
220C2×Dic47⋊C4C2311yescharacteristic
221C2×Dic47⋊C4C2311yescharacteristic
222C2×Dic47⋊C4C2311yescharacteristic
223C2×Dic47⋊C4C2311yescharacteristic
224C2×Dic47⋊C4C2311yescharacteristic
225C2×Dic47⋊C4C2311yescharacteristic
226C2×Dic47⋊C4C2311yescharacteristic
227C2×Dic47⋊C4C2311yescharacteristic
228C2×Dic47⋊C4C2311yescharacteristic
229C2×Dic47⋊C4C2311yescharacteristic
230C2×Dic47⋊C4C2311yescharacteristic
231C2×C22⋊Dic47—24no—
232C2×C22⋊Dic47C2311yescharacteristic
233C2×C22⋊Dic47C2311yescharacteristic
234C2×C22⋊Dic47C2311yescharacteristic
235C2×C22⋊Dic47C2311yescharacteristic
236C2×C22⋊Dic47C2311yescharacteristic
237C2×C22⋊Dic47C2311yescharacteristic
238C2×C22⋊Dic47C2311yescharacteristic
239C2×C22⋊Dic47C2311yescharacteristic
240C2×C22⋊Dic47C2311yescharacteristic
241C2×C22⋊Dic47C2311yescharacteristic
242C2×C22⋊Dic47C2311yescharacteristic
243C2×C22⋊Dic47C2311yescharacteristic
244C2×C22⋊Dic47C2311yescharacteristic
245C2×C22⋊Dic47C2311yescharacteristic
246C2×C22⋊Dic47C2311yescharacteristic
247C2×C22⋊Dic47C2311yescharacteristic
248C2×C4×Dic47—24no—
249C2×C4×Dic47—24no—
250C2×C4×Dic47C2311yescharacteristic
251C2×C4×Dic47C2311yescharacteristic
252C2×C4×Dic47C2311yescharacteristic
253C2×C4×Dic47C2311yescharacteristic
254C2×C4×Dic47C2311yescharacteristic
255C2×C4×Dic47C2311yescharacteristic
256C2×C4×Dic47C2311yescharacteristic
257C2×C4×Dic47C2311yescharacteristic
258C2×C4×Dic47C2311yescharacteristic
259C2×C4×Dic47C2311yescharacteristic
260C2×C4×Dic47C2311yescharacteristic
261C2×C4×Dic47C2311yescharacteristic
262C2×C4×Dic47C2311yescharacteristic
263C2×C4×Dic47C2311yescharacteristic
264C2×C4×Dic47C2311yescharacteristic
265C2×C4×Dic47C2311yescharacteristic
266C2×C4×Dic47C2311yescharacteristic
267C2×C4×Dic47C2311yescharacteristic
268C2×C4×Dic47C2311yescharacteristic
269C2×C4×Dic47C2311yescharacteristic
270C2×C4×Dic47C2311yescharacteristic
271C2×C4×Dic47C2311yescharacteristic
272C47⋊#95C2311yescharacteristic
273C47⋊#95C2311yescharacteristic
274C47⋊#95C2311yescharacteristic
275C47⋊#95C2311yescharacteristic
276C47⋊#95C2311yescharacteristic
277C47⋊#95C2311yescharacteristic
278C47⋊#95C2311yescharacteristic
279C47⋊#95C2311yescharacteristic
280C47⋊#95C2311yescharacteristic
281C47⋊#95C2311yescharacteristic
282C47⋊#95C2311yescharacteristic
283C47⋊#95C2311yescharacteristic
284C47⋊#95C2311yescharacteristic
285C47⋊#95C2311yescharacteristic
286C47⋊#95C2311yescharacteristic
287C47⋊#95C2311yescharacteristic
288C47⋊#95C2311yescharacteristic
289C47⋊#95C2311yescharacteristic
290C47⋊#95C2311yescharacteristic
291C47⋊#95C2311yescharacteristic
292C47⋊#95C2311yescharacteristic
293C47⋊#95C2311yescharacteristic
294C47⋊#95C2311yescharacteristic
295C47⋊#95C2311yescharacteristic
296C47⋊#95C2311yescharacteristic
297C47⋊#95C2311yescharacteristic
298C47⋊#95C2311yescharacteristic
299C47⋊#95C2311yescharacteristic
300C47⋊#95C2311yescharacteristic
301C47⋊#95C2311yescharacteristic
302C47⋊#95C2311yescharacteristic
303C47⋊#95C2311yescharacteristic
304C47⋊#95C2311yescharacteristic
305C47⋊#95C2311yescharacteristic
306C47⋊#95C2311yescharacteristic
307C47⋊#95C2311yescharacteristic
308C47⋊#95C2311yescharacteristic
309C47⋊#95C2311yescharacteristic
310C47⋊#95C2311yescharacteristic
311C47⋊#95C2311yescharacteristic
312C47⋊#95C2311yescharacteristic
313C47⋊#95C2311yescharacteristic
314C47⋊#95C2311yescharacteristic
315C47⋊#95C2311yescharacteristic
316C47⋊#95C2311yescharacteristic
317C47⋊#95C2311yescharacteristic
318C47⋊#95C2311yescharacteristic
319C47⋊#95C2311yescharacteristic
320C25×C47C2311yescharacteristic
321C23×C4×C47C2311yescharacteristic
322C23×C4×C47C2311yescharacteristic
323#126×C47—24no—
324C2×C4⋊C4×C47C2311yescharacteristic
325C2×C4⋊C4×C47C2311yescharacteristic
326C2×C4⋊C4×C47C2311yescharacteristic
327C2×C4⋊C4×C47C2311yescharacteristic
328C2×C4⋊C4×C47C2311yescharacteristic
329C2×C4⋊C4×C47C2311yescharacteristic
330C2×C22⋊C4×C47—24no—
331C2×C22⋊C4×C47C2311yescharacteristic
332C2×C22⋊C4×C47C2311yescharacteristic
333C2×C22⋊C4×C47C2311yescharacteristic
334C2×C22⋊C4×C47C2311yescharacteristic
335C2×C22⋊C4×C47C2311yescharacteristic
336C2×C22⋊C4×C47C2311yescharacteristic
337C2×C22⋊C4×C47C2311yescharacteristic
338C2×C22⋊C4×C47C2311yescharacteristic
339C2×C22⋊C4×C47C2311yescharacteristic
340C2×C22⋊C4×C47C2311yescharacteristic
341C2×C22⋊C4×C47C2311yescharacteristic
342C2×C22⋊C4×C47C2311yescharacteristic
343C2×C22⋊C4×C47C2311yescharacteristic
344C2×C22⋊C4×C47C2311yescharacteristic
345C2×C22⋊C4×C47C2311yescharacteristic
346C2×C22⋊C4×C47C2311yescharacteristic
347C2×C42×C47C2311yescharacteristic
348C2×C42×C47C2311yescharacteristic
349#95×C47C2311yescharacteristic
350#95×C47C2311yescharacteristic
351#95×C47C2311yescharacteristic
352#95×C47C2311yescharacteristic
353#95×C47C2311yescharacteristic
354#95×C47C2311yescharacteristic
355#95×C47C2311yescharacteristic
356#95×C47C2311yescharacteristic
357C24×C47—22no—
358C24×C47—22no—
359C24×C47—22no—
360C24×C47—22no—
361C24×C47—22no—
362C24×C47—41no—
363C24×C47—41no—
364C24×C47C2411yescharacteristic
365C24×C47C2411yescharacteristic
366C24×C47C2411yescharacteristic
367C22×C4×C47—22no—
368C22×C4×C47—22no—
369C22×C4×C47—22no—
370C22×C4×C47—22no—
371C22×C4×C47—41no—
372C22×C4×C47—41no—
373C22×C4×C47C2411yescharacteristic
374C22×C4×C47C2411yescharacteristic
375C22×C4×C47C2411yescharacteristic
376C22×C4×C47C2411yescharacteristic
377C22×C4×C47C2411yescharacteristic
378C22×C4×C47C2411yescharacteristic
379C22×C4×C47C2411yescharacteristic
380C22×C4×C47C2411yescharacteristic
381C22×C4×C47C2411yescharacteristic
382C22×C4×C47C2411yescharacteristic
383C22×C4×C47C2411yescharacteristic
384C22×C4×C47C2411yescharacteristic
385C22×Dic47—22no—
386C22×Dic47—22no—
387C22×Dic47—22no—
388C22×Dic47—22no—
389C22×Dic47—22no—
390C22×Dic47—22no—
391C22×Dic47—22no—
392C22×Dic47—22no—
393C22×Dic47—22no—
394C22×Dic47—22no—
395C22×Dic47—22no—
396C22×Dic47—22no—
397C22×Dic47—22no—
398C22×Dic47—22no—
399C22×Dic47—22no—
400C22×Dic47—22no—
401C22×Dic47—22no—
402C22×Dic47—22no—
403C22×Dic47—22no—
404C22×Dic47—41no—
405C22×Dic47—41no—
406C22×Dic47—416no—
407C22×Dic47#4114yes—
408C22×Dic47#4114yes—
409C22×Dic47#4114yes—
410C22×Dic47C2411yescharacteristic
411C22×Dic47C2411yescharacteristic
412C22×Dic47C2411yescharacteristic
413C22×Dic47C2411yescharacteristic
414C22×Dic47C2411yescharacteristic
415C22×Dic47C2411yescharacteristic
416C22×Dic47C2411yescharacteristic
417C22×Dic47C2411yescharacteristic
418C22×Dic47C2411yescharacteristic
419C22×Dic47C2411yescharacteristic
420C22×Dic47C2411yescharacteristic
421C22×Dic47C2411yescharacteristic
422C22×Dic47C2411yescharacteristic
423C22×Dic47C2411yescharacteristic
424C22×Dic47C2411yescharacteristic
425C22×Dic47C2411yescharacteristic
426C4⋊C4×C47—22no—
427C4⋊C4×C47—22no—
428C4⋊C4×C47—22no—
429C4⋊C4×C47—41no—
430C4⋊C4×C47—41no—
431C4⋊C4×C47—41no—
432C22⋊C4×C47—22no—
433C22⋊C4×C47—22no—
434C22⋊C4×C47—22no—
435C22⋊C4×C47—22no—
436C22⋊C4×C47—22no—
437C22⋊C4×C47—22no—
438C22⋊C4×C47—22no—
439C22⋊C4×C47—22no—
440C22⋊C4×C47—22no—
441C22⋊C4×C47—22no—
442C22⋊C4×C47—22no—
443C22⋊C4×C47—41no—
444C22⋊C4×C47—41no—
445C22⋊C4×C47—41no—
446C22⋊C4×C47—41no—
447C22⋊C4×C47#4114yes—
448C42×C47—22no—
449C42×C47—41no—
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—22no—
460C22⋊Dic47—22no—
461C22⋊Dic47—41no—
462C22⋊Dic47—41no—
463C22⋊Dic47—41no—
464C22⋊Dic47—41no—
465C22⋊Dic47#4114yes—
466C4⋊Dic47—22no—
467C4⋊Dic47—22no—
468C4⋊Dic47—22no—
469C4⋊Dic47—41no—
470C4⋊Dic47—41no—
471C4⋊Dic47—41no—
472Dic47⋊C4—22no—
473Dic47⋊C4—22no—
474Dic47⋊C4—22no—
475Dic47⋊C4—22no—
476Dic47⋊C4—22no—
477Dic47⋊C4—22no—
478Dic47⋊C4—22no—
479Dic47⋊C4—22no—
480Dic47⋊C4—22no—
481Dic47⋊C4—22no—
482Dic47⋊C4—22no—
483Dic47⋊C4—22no—
484Dic47⋊C4—22no—
485Dic47⋊C4—22no—
486Dic47⋊C4—41no—
487Dic47⋊C4—41no—
488Dic47⋊C4—41no—
489Dic47⋊C4—41no—
490Dic47⋊C4—41no—
491Dic47⋊C4—41no—
492C4×Dic47—22no—
493C4×Dic47—22no—
494C4×Dic47—22no—
495C4×Dic47—22no—
496C4×Dic47—22no—
497C4×Dic47—22no—
498C4×Dic47—22no—
499C4×Dic47—22no—
500C4×Dic47—22no—
501C4×Dic47—22no—
502C4×Dic47—22no—
503C4×Dic47—22no—
504C4×Dic47—22no—
505C4×Dic47—22no—
506C4×Dic47—22no—
507C4×Dic47—22no—
508C4×Dic47—22no—
509C4×Dic47—22no—
510C4×Dic47—22no—
511C4×Dic47—41no—
512C4×Dic47—41no—
513C4×Dic47—41no—
514C23×C47—21no—
515C23×C47—21no—
516C23×C47—21no—
517C23×C47—21no—
518C23×C47—28no—
519C23×C47—21no—
520C23×C47—21no—
521C23×C47—21no—
522C23×C47—21no—
523C23×C47—21no—
524C23×C47—21no—
525C23×C47—21no—
526C23×C47—21no—
527C23×C47—21no—
528C23×C47—21no—
529C23×C47—21no—
530C23×C47—21no—
531C23×C47—44no—
532C23×C47—44no—
533C23×C47—44no—
534C23×C47—44no—
535C23×C47—44no—
536C23×C47—44no—
537C23×C47C2×#4112yes—
538C23×C47C2×#4112yes—
539C23×C47C2×#4112yes—
540C23×C47C2×#4112yes—
541C23×C47C2×#4112yes—
542C23×C47C2511yescharacteristic
543C2×C4×C47—21no—
544C2×C4×C47—21no—
545C2×C4×C47—21no—
546C2×C4×C47—21no—
547C2×C4×C47—21no—
548C2×C4×C47—21no—
549C2×C4×C47—21no—
550C2×C4×C47—21no—
551C2×C4×C47—21no—
552C2×C4×C47—21no—
553C2×C4×C47—21no—
554C2×C4×C47—21no—
555C2×C4×C47—21no—
556C2×C4×C47—21no—
557C2×C4×C47—21no—
558C2×C4×C47—21no—
559C2×C4×C47—21no—
560C2×C4×C47—21no—
561C2×C4×C47—21no—
562C2×C4×C47—21no—
563C2×C4×C47—21no—
564C2×C4×C47—21no—
565C2×C4×C47—21no—
566C2×C4×C47—21no—
567C2×C4×C47—21no—
568C2×C4×C47—21no—
569C2×C4×C47—21no—
570C2×C4×C47—21no—
571C2×C4×C47—21no—
572C2×C4×C47—21no—
573C2×C4×C47—21no—
574C2×C4×C47—21no—
575C2×C4×C47—21no—
576C2×C4×C47—21no—
577C2×C4×C47—44no—
578C2×C4×C47—44no—
579C2×C4×C47C2×#4112yes—
580C2×C4×C47C2×#4112yes—
581C2×Dic47—21no—
582C2×Dic47—21no—
583C2×Dic47—21no—
584C2×Dic47—21no—
585C2×Dic47—21no—
586C2×Dic47—21no—
587C2×Dic47—21no—
588C2×Dic47—21no—
589C2×Dic47—21no—
590C2×Dic47—21no—
591C2×Dic47—21no—
592C2×Dic47—21no—
593C2×Dic47—21no—
594C2×Dic47—21no—
595C2×Dic47—21no—
596C2×Dic47—21no—
597C2×Dic47—21no—
598C2×Dic47—21no—
599C2×Dic47—21no—
600C2×Dic47—21no—
601C2×Dic47—21no—
602C2×Dic47—21no—
603C2×Dic47—21no—
604C2×Dic47—21no—
605C2×Dic47—21no—
606C2×Dic47—21no—
607C2×Dic47—21no—
608C2×Dic47—21no—
609C2×Dic47—21no—
610C2×Dic47—21no—
611C2×Dic47—21no—
612C2×Dic47—21no—
613C2×Dic47—21no—
614C2×Dic47—21no—
615C2×Dic47—21no—
616C2×Dic47—21no—
617C2×Dic47—21no—
618C2×Dic47—21no—
619C2×Dic47—21no—
620C2×Dic47—21no—
621C2×Dic47—44no—
622C2×Dic47—44no—
623C2×Dic47—44no—
624C2×Dic47—44no—
625C2×Dic47—44no—
626C2×Dic47—44no—
627C2×Dic47—44no—
628C2×Dic47#126116yescomplemented
629C2×Dic47C2×#4112yes—
630C2×Dic47C2×#4112yes—
631C2×Dic47C2×#4112yes—
632C2×Dic47C2×#4112yes—
633C2×Dic47C2×#4112yes—
634C2×Dic47C2×#4112yes—
635C2×Dic47C2×#4112yes—
636C2×Dic47C2×#4112yes—
637#34814—471nomaximal, Sylow
638C22×C47—22no—
639C22×C47—22no—
640C22×C47—22no—
641C22×C47—22no—
642C22×C47—22no—
643C22×C47—22no—
644C22×C47—22no—
645C22×C47—22no—
646C22×C47—22no—
647C22×C47—22no—
648C22×C47—22no—
649C22×C47—22no—
650C22×C47—416no—
651C22×C47—41no—
652C22×C47—41no—
653C22×C47—41no—
654C22×C47—41no—
655C22×C47—41no—
656C22×C47—41no—
657C22×C47—41no—
658C22×C47—41no—
659C22×C47C2×#12614yes—
660C22×C47C22×#4111yescharacteristic
661C22×C47C22×#4111yescharacteristic
662C22×C47C22×#4111yescharacteristic
663C22×C47C22×#4111yescharacteristic
664C22×C47C22×#4111yescharacteristic
665C22×C47#58511yescharacteristic
666C22×C47#58511yescharacteristic
667C4×C47—22no—
668C4×C47—22no—
669C4×C47—41no—
670C4×C47—41no—
671C4×C47—41no—
672C4×C47—41no—
673C4×C47—41no—
674C4×C47—41no—
675C4×C47—41no—
676C4×C47—41no—
677C4×C47—41no—
678C4×C47—41no—
679Dic47—22no—
680Dic47—22no—
681Dic47—41no—
682Dic47—41no—
683Dic47—41no—
684Dic47—41no—
685Dic47—41no—
686Dic47—41no—
687Dic47—41no—
688Dic47—41no—
689Dic47—41no—
690Dic47—41no—
691Dic47—41no—
692Dic47—41no—
693Dic47C2×#12614yes—
694Dic47C2×#12614yes—
695#2497—471no—
696#2497—471no—
697#2496—471no—
698#2496—471no—
699#2495—471no—
700#2495—471no—
701#2494—471no—
702#2494—471no—
703#2493—471no—
704#2493—471no—
705#2493—471no—
706#2493—471no—
707#2480—471no—
708#2480—471no—
709#2480—471no—
710#2480D4711yescharacteristic
711#2401—471no—
712#2401—471no—
713#2401—471no—
714#2401—471no—
715C4×#126—471no—
716C4×#126—471no—
717C4×#126—471no—
718C4×#126—471no—
719#2296—471no—
720#2296—471no—
721#2285—471no—
722#2280—471no—
723#2280—471no—
724C4×#117—471no—
725C2×C4×C22⋊C4—471no—
726C2×C47—24no—
727C2×C47—42no—
728C2×C47—42no—
729C2×C47C22×#12611yescharacteristic
730C2×C47#344411yescharacteristic
731C2×C47#345511yescharacteristic
732C2×C47#347511yescharacteristic
733C2×C47#347511yescharacteristic
734C2×C47#347511yescharacteristic
735C2×C47#347511yescharacteristic
736C24×C4—471no—
737C2×#126—471no—
738C2×#126—471no—
739C2×#126—471no—
740C2×#126C2×D4711yescharacteristic
741C2×#117—471no—
742C2×#117—471no—
743C2×#117—471no—
744C2×#117—471no—
745C22×C22⋊C4—471no—
746C22×C22⋊C4C2×D4711yescharacteristic
747C22×C42—471no—
748C22×C42—471no—
749#401—471no—
750#401—471no—
751#401—471no—
752#401—471no—
753#400—471no—
754#400—471no—
755#400—471no—
756#400—471no—
757#400—471no—
758#400—471no—
759#400—471no—
760#400—471no—
761#400—471no—
762#400—471no—
763#400—471no—
764#400—471no—
765#397—471no—
766#397—471no—
767#397—471no—
768#397—471no—
769#397—471no—
770#397—471no—
771#397—471no—
772#397—471no—
773#397—471no—
774#397C2×D4711yescharacteristic
775#397C2×D4711yescharacteristic
776#397C2×D4711yescharacteristic
777#396—471no—
778#396—471no—
779#396—471no—
780#396C2×D4711yescharacteristic
781#389—471no—
782#389—471no—
783#389—471no—
784#389—471no—
785#389—471no—
786#389—471no—
787#389—471no—
788#389—471no—
789#388—471no—
790#388—471no—
791#388—471no—
792#388—471no—
793#388—471no—
794#388—471no—
795#388—471no—
796#388—471no—
797#388—471no—
798#388C2×D4711yescharacteristic
799#388C2×D4711yescharacteristic
800#388C2×D4711yescharacteristic
801#387—471no—
802#387—471no—
803#387—471no—
804#387—471no—
805#387—471no—
806#387—471no—
807#387—471no—
808#387—471no—
809#387—471no—
810#387—471no—
811#387—471no—
812#387—471no—
813#385—471no—
814#385—471no—
815#385—471no—
816#385—471no—
817#385—471no—
818#385—471no—
819#385C2×D4711yescharacteristic
820#385C2×D4711yescharacteristic
821#384—471no—
822#384—471no—
823#383—471no—
824#383—471no—
825#383—471no—
826#383—471no—
827#382—471no—
828#382—471no—
829#381—471no—
830#381—471no—
831#381—471no—
832#381—471no—
833#380—471no—
834#380—471no—
835#380—471no—
836#380—471no—
837#380—471no—
838#380—471no—
839#380—471no—
840#380—471no—
841#380—471no—
842#380—471no—
843#380—471no—
844#380C2×D4711yescharacteristic
845#379—471no—
846#379—471no—
847#379C2×D4711yescharacteristic
848#379C2×D4711yescharacteristic
849C4×C4⋊C4—471no—
850C4×C4⋊C4—471no—
851C4×C4⋊C4—471no—
852C4×C4⋊C4—471no—
853C4×C4⋊C4—471no—
854C4×C4⋊C4—471no—
855C4×C4⋊C4—471no—
856C4×C4⋊C4—471no—
857C4×C4⋊C4—471no—
858C4×C4⋊C4—471no—
859C4×C4⋊C4—471no—
860C4×C4⋊C4—471no—
861C4×C4⋊C4—471no—
862C4×C4⋊C4—471no—
863C4×C4⋊C4—471no—
864C4×C4⋊C4—471no—
865C4×C22⋊C4—471no—
866C4×C22⋊C4—471no—
867C4×C22⋊C4—471no—
868C4×C22⋊C4—471no—
869C4×C22⋊C4—471no—
870C4×C22⋊C4—471no—
871C4×C22⋊C4—471no—
872C4×C22⋊C4—471no—
873C4×C22⋊C4—471no—
874C4×C22⋊C4—471no—
875C4×C22⋊C4—471no—
876C4×C22⋊C4—471no—
877C4×C22⋊C4—471no—
878C4×C22⋊C4—471no—
879C4×C22⋊C4—471no—
880C4×C22⋊C4—471no—
881C4×C22⋊C4—471no—
882C4×C22⋊C4—471no—
883C4×C22⋊C4—471no—
884C4×C22⋊C4C2×D4711yescharacteristic
885#376—471no—
886#376—471no—
887C2×#95—471no—
888C2×#95—471no—
889C43—471no—
890C43—471no—
891C47#3481411yescharacteristic, complemented, Sylow
892C25C22×D4711yescharacteristic
893C23×C4—471no—
894C23×C4—471no—
895C23×C4—471no—
896C23×C4—471no—
897C23×C4—471no—
898C23×C4—471no—
899C23×C4—471no—
900C23×C4—471no—
901C23×C4—944no—
902C23×C4—944no—
903C23×C4—944no—
904C23×C4C22×D4711yescharacteristic
905C23×C4C22×D4711yescharacteristic
906#126—24no—
907#126—944no—
908#126—944no—
909#126—944no—
910#117—944no—
911#117—944no—
912#117—944no—
913#117—944no—
914C2×C4⋊C4—471no—
915C2×C4⋊C4—471no—
916C2×C4⋊C4—471no—
917C2×C4⋊C4—471no—
918C2×C4⋊C4—471no—
919C2×C4⋊C4—471no—
920C2×C4⋊C4—471no—
921C2×C4⋊C4—471no—
922C2×C4⋊C4—471no—
923C2×C4⋊C4—471no—
924C2×C4⋊C4—471no—
925C2×C4⋊C4—471no—
926C2×C4⋊C4—471no—
927C2×C4⋊C4—471no—
928C2×C4⋊C4—471no—
929C2×C4⋊C4—471no—
930C2×C4⋊C4—471no—
931C2×C4⋊C4—471no—
932C2×C4⋊C4—471no—
933C2×C4⋊C4—471no—
934C2×C4⋊C4—471no—
935C2×C4⋊C4—471no—
936C2×C4⋊C4—471no—
937C2×C4⋊C4—471no—
938C2×C4⋊C4—471no—
939C2×C4⋊C4—471no—
940C2×C4⋊C4C22×D4711yescharacteristic
941C2×C4⋊C4C22×D4711yescharacteristic
942C2×C4⋊C4C22×D4711yescharacteristic
943C2×C4⋊C4C22×D4711yescharacteristic
944C2×C4⋊C4C22×D4711yescharacteristic
945C2×C4⋊C4C22×D4711yescharacteristic
946C2×C22⋊C4—24no—
947C2×C22⋊C4—471no—
948C2×C22⋊C4—471no—
949C2×C22⋊C4—471no—
950C2×C22⋊C4—471no—
951C2×C22⋊C4—471no—
952C2×C22⋊C4—471no—
953C2×C22⋊C4—471no—
954C2×C22⋊C4—471no—
955C2×C22⋊C4—471no—
956C2×C22⋊C4—471no—
957C2×C22⋊C4—471no—
958C2×C22⋊C4—471no—
959C2×C22⋊C4—471no—
960C2×C22⋊C4—471no—
961C2×C22⋊C4—471no—
962C2×C22⋊C4—471no—
963C2×C22⋊C4—944no—
964C2×C22⋊C4C22×D4711yescharacteristic
965C2×C22⋊C4C22×D4711yescharacteristic
966C2×C22⋊C4C22×D4711yescharacteristic
967C2×C22⋊C4C22×D4711yescharacteristic
968C2×C22⋊C4C22×D4711yescharacteristic
969C2×C22⋊C4C22×D4711yescharacteristic
970C2×C22⋊C4C22×D4711yescharacteristic
971C2×C22⋊C4C22×D4711yescharacteristic
972C2×C22⋊C4C22×D4711yescharacteristic
973C2×C22⋊C4C22×D4711yescharacteristic
974C2×C22⋊C4C22×D4711yescharacteristic
975C2×C22⋊C4C22×D4711yescharacteristic
976C2×C22⋊C4C22×D4711yescharacteristic
977C2×C22⋊C4C22×D4711yescharacteristic
978C2×C22⋊C4C22×D4711yescharacteristic
979C2×C22⋊C4C22×D4711yescharacteristic
980C2×C42—471no—
981C2×C42—471no—
982C2×C42—471no—
983C2×C42—471no—
984C2×C42—471no—
985C2×C42—471no—
986C2×C42—471no—
987C2×C42—471no—
988C2×C42—471no—
989C2×C42—471no—
990C2×C42—471no—
991C2×C42—471no—
992C2×C42—471no—
993C2×C42—471no—
994C2×C42—471no—
995C2×C42—471no—
996C2×C42—471no—
997C2×C42—471no—
998C2×C42—471no—
999C2×C42—471no—
1000C2×C42—471no—
1001C2×C42—471no—
1002C2×C42—944no—
1003C2×C42—944no—
1004C2×C42C22×D4711yescharacteristic
1005C2×C42C22×D4711yescharacteristic
1006#95—471no—
1007#95—471no—
1008#95—471no—
1009#95—471no—
1010#95—471no—
1011#95—471no—
1012#95—471no—
1013#95—471no—
1014#95—471no—
1015#95—471no—
1016#95—471no—
1017#95—471no—
1018#95—471no—
1019#95—471no—
1020#95—471no—
1021#95—471no—
1022#95—471no—
1023#95—471no—
1024#95—471no—
1025#95—471no—
1026#95—471no—
1027#95—471no—
1028#95—471no—
1029#95—471no—
1030#95—471no—
1031#95—471no—
1032#95—471no—
1033#95—471no—
1034#95—471no—
1035#95—471no—
1036#95—471no—
1037#95—471no—
1038#95—471no—
1039#95—471no—
1040#95—471no—
1041#95—471no—
1042#95—471no—
1043#95—471no—
1044#95—471no—
1045#95—471no—
1046#95—471no—
1047#95—471no—
1048#95—471no—
1049#95—471no—
1050#95—471no—
1051#95—471no—
1052#95—471no—
1053#95—471no—
1054#95C22×D4711yescharacteristic
1055#95C22×D4711yescharacteristic
1056#95C22×D4711yescharacteristic
1057#95C22×D4711yescharacteristic
1058#95C22×D4711yescharacteristic
1059#95C22×D4711yescharacteristic
1060#95C22×D4711yescharacteristic
1061#95C22×D4711yescharacteristic
1062C24—22no—
1063C24—22no—
1064C24—22no—
1065C24—22no—
1066C24—22no—
1067C24—41no—
1068C24—41no—
1069C24C23×D4711yescharacteristic
1070C24C23×D4711yescharacteristic
1071C24C23×D4711yescharacteristic
1072C22×C4—22no—
1073C22×C4—22no—
1074C22×C4—22no—
1075C22×C4—22no—
1076C22×C4—41no—
1077C22×C4—41no—
1078C22×C4—474no—
1079C22×C4—474no—
1080C22×C4—474no—
1081C22×C4—471no—
1082C22×C4—471no—
1083C22×C4—471no—
1084C22×C4—471no—
1085C22×C4—471no—
1086C22×C4—471no—
1087C22×C4—471no—
1088C22×C4—471no—
1089C22×C4—471no—
1090C22×C4—471no—
1091C22×C4—471no—
1092C22×C4—471no—
1093C22×C4—471no—
1094C22×C4—471no—
1095C22×C4—471no—
1096C22×C4—471no—
1097C22×C4—942no—
1098C22×C4—942no—
1099C22×C4—942no—
1100C22×C4—942no—
1101C22×C4—942no—
1102C22×C4—942no—
1103C22×C4—942no—
1104C22×C4—942no—
1105C22×C4—942no—
1106C22×C4—942no—
1107C22×C4—942no—
1108C22×C4—942no—
1109C22×C4—942no—
1110C22×C4—942no—
1111C22×C4—942no—
1112C22×C4—942no—
1113C22×C4—942no—
1114C22×C4—942no—
1115C22×C4—942no—
1116C22×C4—18816no—
1117C22×C4—1881no—
1118C22×C4—1881no—
1119C22×C4C23×D4711yescharacteristic
1120C22×C4C23×D4711yescharacteristic
1121C22×C4C23×D4711yescharacteristic
1122C22×C4C23×D4711yescharacteristic
1123C22×C4C23×D4711yescharacteristic
1124C22×C4C23×D4711yescharacteristic
1125C22×C4C23×D4711yescharacteristic
1126C22×C4C23×D4711yescharacteristic
1127C22×C4C23×D4711yescharacteristic
1128C22×C4C23×D4711yescharacteristic
1129C22×C4C23×D4711yescharacteristic
1130C22×C4C23×D4711yescharacteristic
1131C4⋊C4—22no—
1132C4⋊C4—22no—
1133C4⋊C4—22no—
1134C4⋊C4—41no—
1135C4⋊C4—41no—
1136C4⋊C4—41no—
1137C4⋊C4—942no—
1138C4⋊C4—942no—
1139C4⋊C4—942no—
1140C4⋊C4—942no—
1141C4⋊C4—942no—
1142C4⋊C4—942no—
1143C4⋊C4—942no—
1144C4⋊C4—942no—
1145C4⋊C4—942no—
1146C4⋊C4—942no—
1147C4⋊C4—942no—
1148C4⋊C4—942no—
1149C4⋊C4—942no—
1150C4⋊C4—942no—
1151C4⋊C4—942no—
1152C4⋊C4—942no—
1153C4⋊C4—942no—
1154C4⋊C4—1881no—
1155C4⋊C4—1881no—
1156C4⋊C4—1881no—
1157C4⋊C4—1881no—
1158C4⋊C4—1881no—
1159C4⋊C4—1881no—
1160C4⋊C4—1881no—
1161C4⋊C4—1881no—
1162C4⋊C4—1881no—
1163C22⋊C4—22no—
1164C22⋊C4—22no—
1165C22⋊C4—22no—
1166C22⋊C4—22no—
1167C22⋊C4—22no—
1168C22⋊C4—22no—
1169C22⋊C4—22no—
1170C22⋊C4—22no—
1171C22⋊C4—22no—
1172C22⋊C4—22no—
1173C22⋊C4—22no—
1174C22⋊C4—41no—
1175C22⋊C4—41no—
1176C22⋊C4—41no—
1177C22⋊C4—41no—
1178C22⋊C4—474no—
1179C22⋊C4—942no—
1180C22⋊C4—942no—
1181C22⋊C4—942no—
1182C22⋊C4—942no—
1183C22⋊C4—942no—
1184C22⋊C4—942no—
1185C22⋊C4—942no—
1186C22⋊C4—942no—
1187C22⋊C4—942no—
1188C22⋊C4—942no—
1189C22⋊C4—942no—
1190C22⋊C4—1881no—
1191C22⋊C4—1881no—
1192C22⋊C4—1881no—
1193C22⋊C4—1881no—
1194C22⋊C4#1062535214yes—
1195C42—22no—
1196C42—41no—
1197C42—942no—
1198C42—942no—
1199C42—942no—
1200C42—942no—
1201C42—942no—
1202C42—942no—
1203C42—942no—
1204C42—942no—
1205C42—942no—
1206C42—942no—
1207C42—942no—
1208C42—942no—
1209C42—942no—
1210C42—942no—
1211C42—942no—
1212C42—942no—
1213C42—942no—
1214C42—942no—
1215C42—942no—
1216C42—1881no—
1217C42—1881no—
1218C42—1881no—
1219C23—21no—
1220C23—21no—
1221C23—21no—
1222C23—21no—
1223C23—28no—
1224C23—21no—
1225C23—21no—
1226C23—21no—
1227C23—21no—
1228C23—21no—
1229C23—21no—
1230C23—21no—
1231C23—21no—
1232C23—21no—
1233C23—21no—
1234C23—21no—
1235C23—21no—
1236C23—44no—
1237C23—44no—
1238C23—44no—
1239C23—44no—
1240C23—44no—
1241C23—44no—
1242C23#41×D4712yes—
1243C23#41×D4712yes—
1244C23#41×D4712yes—
1245C23#41×D4712yes—
1246C23C2×#1062535212yes—
1247C23C24×D4711yescharacteristic
1248C2×C4—21no—
1249C2×C4—21no—
1250C2×C4—21no—
1251C2×C4—21no—
1252C2×C4—21no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—21no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—21no—
1264C2×C4—21no—
1265C2×C4—21no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—44no—
1283C2×C4—44no—
1284C2×C4—4716no—
1285C2×C4—472no—
1286C2×C4—472no—
1287C2×C4—472no—
1288C2×C4—472no—
1289C2×C4—472no—
1290C2×C4—472no—
1291C2×C4—472no—
1292C2×C4—472no—
1293C2×C4—941no—
1294C2×C4—941no—
1295C2×C4—941no—
1296C2×C4—941no—
1297C2×C4—941no—
1298C2×C4—941no—
1299C2×C4—941no—
1300C2×C4—941no—
1301C2×C4—941no—
1302C2×C4—941no—
1303C2×C4—941no—
1304C2×C4—941no—
1305C2×C4—941no—
1306C2×C4—941no—
1307C2×C4—941no—
1308C2×C4—941no—
1309C2×C4—941no—
1310C2×C4—941no—
1311C2×C4—941no—
1312C2×C4—941no—
1313C2×C4—941no—
1314C2×C4—941no—
1315C2×C4—941no—
1316C2×C4—941no—
1317C2×C4—941no—
1318C2×C4—941no—
1319C2×C4—941no—
1320C2×C4—941no—
1321C2×C4—941no—
1322C2×C4—941no—
1323C2×C4—941no—
1324C2×C4—941no—
1325C2×C4—941no—
1326C2×C4—941no—
1327C2×C4—941no—
1328C2×C4—941no—
1329C2×C4—941no—
1330C2×C4—941no—
1331C2×C4—941no—
1332C2×C4—941no—
1333C2×C4—1884no—
1334C2×C4—1884no—
1335C2×C4—1884no—
1336C2×C4—1884no—
1337C2×C4—1884no—
1338C2×C4—1884no—
1339C2×C4—1884no—
1340C2×C4C2×#1062535212yes—
1341C2×C4C2×#1062535212yes—
1342C22—22no—
1343C22—22no—
1344C22—22no—
1345C22—22no—
1346C22—22no—
1347C22—22no—
1348C22—22no—
1349C22—22no—
1350C22—22no—
1351C22—22no—
1352C22—22no—
1353C22—22no—
1354C22—416no—
1355C22—41no—
1356C22—41no—
1357C22—41no—
1358C22—41no—
1359C22—41no—
1360C22—41no—
1361C22—41no—
1362C22—41no—
1363C22#126×D4714yes—
1364C22C2×#41×D4711yescharacteristic
1365C22C2×#41×D4711yescharacteristic
1366C22C2×#41×D4711yescharacteristic
1367C22C2×#41×D4711yescharacteristic
1368C22C22×#1062535211yescharacteristic
1369C22#1568995811yescharacteristic
1370C22#1568995811yescharacteristic
1371C4—22no—
1372C4—22no—
1373C4—41no—
1374C4—41no—
1375C4—41no—
1376C4—41no—
1377C4—41no—
1378C4—41no—
1379C4—41no—
1380C4—41no—
1381C4—41no—
1382C4—41no—
1383C4—474no—
1384C4—474no—
1385C4—942no—
1386C4—942no—
1387C4—1881no—
1388C4—1881no—
1389C4—1881no—
1390C4—1881no—
1391C4—1881no—
1392C4—1881no—
1393C4—1881no—
1394C4—1881no—
1395C4—1881no—
1396C4—1881no—
1397C4—1881no—
1398C4—1881no—
1399C2—24no—
1400C2—42no—
1401C2—42no—
1402C2C2×#126×D4711yescharacteristic
1403C2#2025668011yescharacteristic
1404C2#2025677011yescharacteristic
1405C2#2025693911yescharacteristic
1406C2#2025693911yescharacteristic
1407C2#2025694311yescharacteristic
1408C2#2025694311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2480C2
prime radicalC25×C47C23
hypercenter#2480D47
hypocenterC47#34814
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2480

Complements

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

NH ≅ G/Ntype
1. #20247818C2semidirect
2. #20247814C2semidirect
3. #20247807C2semidirect
4. #20247803C2semidirect
5. #20247796C2semidirect
6. #20247792C2semidirect
7. #20247785C2semidirect
8. #20247781C2semidirect
9. #20247779C2semidirect
10. #20247775C2semidirect
11. #20247771C2semidirect
12. #20247767C2semidirect
16. #20246690C2semidirect
17. #20246685C2semidirect
18. #20246685C2semidirect
19. #20246685C2semidirect
20. #20245942C2semidirect
21. #20245942C2semidirect
22. #20245942C2semidirect
23. #126×Dic47C2semidirect
24. #20245867C2semidirect
25. #20245867C2semidirect
26. #20245790C2semidirect
29. C4×#13093980C2semidirect
43. C47⋊#401C22semidirect
44. C47⋊#401C22semidirect
45. C47⋊#401C22semidirect
46. C47⋊#401C22semidirect
47. #15689065C22semidirect
48. #15689065C22semidirect
49. #15689065C22semidirect
50. #15689064C22semidirect
51. #15689064C22semidirect
52. #15689064C22semidirect
53. #15689062C22semidirect
54. #15689062C22semidirect
55. #15689062C22semidirect
56. #15689061C22semidirect
57. #15689061C22semidirect
58. #15689061C22semidirect
71. #15689020C22semidirect
72. #15689020C22semidirect
73. #15689020C22semidirect
74. #15689020C22semidirect
75. #15689018C22semidirect
76. #15689018C22semidirect
77. #15689018C22semidirect
78. #15689018C22semidirect
88. #15689009C22semidirect
89. #15689009C22semidirect
90. #15689009C22semidirect
91. #15689007C22semidirect
92. #15689007C22semidirect
93. #15689007C22semidirect
94. #15689006C22semidirect
95. #15689006C22semidirect
96. #15689006C22semidirect
97. #15689004C22semidirect
98. #15689004C22semidirect
99. #15689004C22semidirect
106. #15688992C22semidirect
107. #15688992C22semidirect
108. #15688991C22semidirect
109. #15688990C22semidirect
110. #15688990C22semidirect
111. #15688990C22semidirect
112. #15688987C22semidirect
113. #15688987C22semidirect
131. C4⋊C4×Dic47C22semidirect
132. C4⋊C4×Dic47C22semidirect
133. C4⋊C4×Dic47C22semidirect
134. C4⋊C4×Dic47C22semidirect
135. C4⋊C4×Dic47C22semidirect
136. C4⋊C4×Dic47C22semidirect
137. C4×Dic47⋊C4C22semidirect
138. C4×Dic47⋊C4C22semidirect
139. #15688974C22semidirect
140. #15688974C22semidirect
141. #15688974C22semidirect
142. #15688974C22semidirect
143. #15688974C22semidirect
144. #15688974C22semidirect
145. #15688974C22semidirect
146. #15688974C22semidirect
166. #15688968C22semidirect
167. #15688968C22semidirect
170. C42×Dic47C22semidirect
171. C42×Dic47C22semidirect
628. C2×Dic47#126semidirect
891. C47#34814semidirect

Maximal subgroups

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

subgroupindex
#202478182
#202478142
#202478072
#202478032
#202477962
#202477922
#202477852
#202477812
#202477792
#202477752
#202477712
#202477672
#202476332
#202476312
#202476282
#202466902
#202466852
#202459422
#126×Dic472
#202458672
#202457902
#202457662
C4×#130939802
C2×C22⋊C4×Dic472
C47×#24802
#3481447