Finite Group Databasebeta

← #26386244

Subgroups — #26386244

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#20247820C211yesmaximal, characteristic, complemented
2#20247816C211yesmaximal, characteristic, complemented
3#20247809C211yesmaximal, characteristic, complemented
4#20247805C211yesmaximal, characteristic, complemented
5#20247798C211yesmaximal, characteristic, complemented
6#20247794C211yesmaximal, characteristic, complemented
7#20247787C211yesmaximal, characteristic, complemented
8#20247783C211yesmaximal, characteristic, complemented
9#20247777C211yesmaximal, characteristic, complemented
10#20247773C211yesmaximal, characteristic, complemented
11#20247769C211yesmaximal, characteristic, complemented
12#20247641C211yesmaximal, characteristic
13#20247639C211yesmaximal, characteristic
14#20247636C211yesmaximal, characteristic
15#20247634C211yesmaximal, characteristic
16#20246691C211yesmaximal, characteristic, complemented
17#20246687C211yesmaximal, characteristic, complemented
18#20246687C211yesmaximal, characteristic, complemented
19#20246687C211yesmaximal, characteristic, complemented
20#20245938C211yesmaximal, characteristic, complemented
21#20245938C211yesmaximal, characteristic, complemented
22#20245938C211yesmaximal, characteristic, complemented
23#20245936C211yesmaximal, characteristic, complemented
24#20245867C211yesmaximal, characteristic, complemented
25#20245867C211yesmaximal, characteristic, complemented
26#20245790C211yesmaximal, characteristic, complemented
27#20245768C211yesmaximal, characteristic
28#20245768C211yesmaximal, characteristic
29C4×#13093980C211yesmaximal, characteristic, complemented
30C2×#15688970C211yesmaximal, characteristic
31C47×#2493C211yesmaximal, characteristic, complemented
32C23×C4×D47C2211yescharacteristic
33C2×#13094019C2211yescharacteristic
34C2×#13094019C2211yescharacteristic
35C2×#13094019C2211yescharacteristic
36C2×#13094018C2211yescharacteristic
37C2×#13093980C2211yescharacteristic
38C2×#13093980C2211yescharacteristic
39C2×#13093980C2211yescharacteristic
40C2×#13093980C2211yescharacteristic
41C22×(C2×D47)⋊C4C2211yescharacteristic
42C22×(C2×D47)⋊C4C2211yescharacteristic
43C22×C4×Dic47C2211yescharacteristic
44C22×C4×Dic47C2211yescharacteristic
45C47⋊#401C2211yescharacteristic, complemented
46C47⋊#401C2211yescharacteristic, complemented
47C47⋊#401C2211yescharacteristic, complemented
48#15689065C2211yescharacteristic, complemented
49#15689065C2211yescharacteristic, complemented
50#15689065C2211yescharacteristic, complemented
51#15689064C2211yescharacteristic, complemented
52#15689064C2211yescharacteristic, complemented
53#15689064C2211yescharacteristic, complemented
54#15689063C2211yescharacteristic, complemented
55#15689063C2211yescharacteristic, complemented
56#15689063C2211yescharacteristic, complemented
57#15689052C2211yescharacteristic
58#15689052C2211yescharacteristic
59#15689052C2211yescharacteristic
60#15689052C2211yescharacteristic
61#15689052C2211yescharacteristic
62#15689052C2211yescharacteristic
63#15689050C2211yescharacteristic
64#15689050C2211yescharacteristic
65#15689050C2211yescharacteristic
66#15689049C2211yescharacteristic
67#15689049C2211yescharacteristic
68#15689049C2211yescharacteristic
69#15689047C2211yescharacteristic
70#15689045C2211yescharacteristic
71#15689045C2211yescharacteristic
72#15689045C2211yescharacteristic
73#15689020C2211yescharacteristic, complemented
74#15689020C2211yescharacteristic, complemented
75#15689020C2211yescharacteristic, complemented
76#15689020C2211yescharacteristic, complemented
77#15689018C2211yescharacteristic, complemented
78#15689018C2211yescharacteristic, complemented
79#15689018C2211yescharacteristic, complemented
80#15689018C2211yescharacteristic, complemented
81#15689015C2211yescharacteristic
82#15689015C2211yescharacteristic
83#15689015C2211yescharacteristic
84#15689014C2211yescharacteristic
85#15689014C2211yescharacteristic
86#15689014C2211yescharacteristic
87#15689013C2211yescharacteristic
88#15689013C2211yescharacteristic
89#15689013C2211yescharacteristic
90#15689012C2211yescharacteristic
91#15689012C2211yescharacteristic
92#15689012C2211yescharacteristic
93#15689010C2211yescharacteristic, complemented
94#15689010C2211yescharacteristic, complemented
95#15689010C2211yescharacteristic, complemented
96#15689008C2211yescharacteristic, complemented
97#15689008C2211yescharacteristic, complemented
98#15689008C2211yescharacteristic, complemented
99#15689005C2211yescharacteristic, complemented
100#15689005C2211yescharacteristic, complemented
101#15689005C2211yescharacteristic, complemented
102#15688998C2211yescharacteristic
103#15688998C2211yescharacteristic
104#15688996C2211yescharacteristic
105#15688996C2211yescharacteristic
106#15688995C2211yescharacteristic
107#15688995C2211yescharacteristic
108#15688992C2211yescharacteristic, complemented
109#15688992C2211yescharacteristic, complemented
110#15688990C2211yescharacteristic, complemented
111#15688990C2211yescharacteristic, complemented
112#15688990C2211yescharacteristic, complemented
113#15688987C2211yescharacteristic, complemented
114#15688987C2211yescharacteristic, complemented
115#15688986C2211yescharacteristic
116#15688986C2211yescharacteristic
117#15688983C2211yescharacteristic
118#15688982C2211yescharacteristic
119#15688982C2211yescharacteristic
120#15688982C2211yescharacteristic
121#15688982C2211yescharacteristic
122#15688982C2211yescharacteristic
123#15688982C2211yescharacteristic
124#15688982C2211yescharacteristic
125#15688982C2211yescharacteristic
126#15688981C2211yescharacteristic
127#15688981C2211yescharacteristic
128#15688978C2211yescharacteristic
129#15688978C2211yescharacteristic
130#15688978C2211yescharacteristic
131#15688978C2211yescharacteristic
132C4⋊C4×Dic47C2211yescharacteristic, complemented
133C4⋊C4×Dic47C2211yescharacteristic, complemented
134C4⋊C4×Dic47C2211yescharacteristic, complemented
135C4⋊C4×Dic47C2211yescharacteristic, complemented
136C4⋊C4×Dic47C2211yescharacteristic, complemented
137C4⋊C4×Dic47C2211yescharacteristic, complemented
138C4×Dic47⋊C4C2211yescharacteristic, complemented
139C4×Dic47⋊C4C2211yescharacteristic, complemented
140#15688974C2211yescharacteristic, complemented
141#15688974C2211yescharacteristic, complemented
142#15688974C2211yescharacteristic, complemented
143#15688974C2211yescharacteristic, complemented
144#15688974C2211yescharacteristic, complemented
145#15688974C2211yescharacteristic, complemented
146#15688974C2211yescharacteristic, complemented
147#15688974C2211yescharacteristic, complemented
148C22⋊C4×Dic47C2211yescharacteristic
149C22⋊C4×Dic47C2211yescharacteristic
150C4×C22⋊Dic47C2211yescharacteristic
151#15688970C2211yescharacteristic
152#15688970C2211yescharacteristic
153#15688970C2211yescharacteristic
154#15688970C2211yescharacteristic
155#15688970C2211yescharacteristic
156#15688970C2211yescharacteristic
157#15688970C2211yescharacteristic
158#15688970C2211yescharacteristic
159#15688970C2211yescharacteristic
160#15688970C2211yescharacteristic
161#15688970C2211yescharacteristic
162#15688970C2211yescharacteristic
163#15688970C2211yescharacteristic
164#15688970C2211yescharacteristic
165#15688970C2211yescharacteristic
166#15688970C2211yescharacteristic
167#15688968C2211yescharacteristic, complemented
168#15688968C2211yescharacteristic, complemented
169C2×C47⋊#95C2211yescharacteristic
170C42×Dic47C2211yescharacteristic, complemented
171C42×Dic47C2211yescharacteristic, complemented
172C47×#401C2211yescharacteristic, complemented
173C47×#400C2211yescharacteristic, complemented
174C47×#400C2211yescharacteristic, complemented
175C47×#400C2211yescharacteristic, complemented
176C47×#387C2211yescharacteristic, complemented
177C47×#387C2211yescharacteristic, complemented
178C47×#387C2211yescharacteristic, complemented
179C47×#385C2211yescharacteristic
180C47×#385C2211yescharacteristic
181C47×#383C2211yescharacteristic, complemented
182C47×#381C2211yescharacteristic
183C47×#381C2211yescharacteristic
184C47×#380C2211yescharacteristic
185C4×C22⋊C4×C47C2211yescharacteristic
186C2×#95×C47C2211yescharacteristic
187C24×D47C2311yescharacteristic
188C23×Dic47C2311yescharacteristic
189C23×Dic47C2311yescharacteristic
190C23×Dic47C2311yescharacteristic
191C22×C4×D47—24no—
192C22×C4×D47—24no—
193C22×C4×D47—24no—
194C22×C4×D47C2311yescharacteristic
195C22×C4×D47C2311yescharacteristic
196C22×C4×D47C2311yescharacteristic
197C22×C4×D47C2311yescharacteristic
198#13094019—24no—
199#13094019—24no—
200#13094019—24no—
201#13094018—24no—
202#13093980—24no—
203#13093980—24no—
204#13093980—24no—
205#13093980—24no—
206C2×C4⋊Dic47C2311yescharacteristic
207C2×C4⋊Dic47C2311yescharacteristic
208C2×C4⋊Dic47C2311yescharacteristic
209C2×C4⋊Dic47C2311yescharacteristic
210C2×C4⋊Dic47C2311yescharacteristic
211C2×C4⋊Dic47C2311yescharacteristic
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×Dic47⋊C4C2311yescharacteristic
232C2×C22⋊Dic47C2311yescharacteristic
233C2×C22⋊Dic47C2311yescharacteristic
234C2×C22⋊Dic47C2311yescharacteristic
235C2×C22⋊Dic47C2311yescharacteristic
236C2×(C2×D47)⋊C4—24no—
237C2×(C2×D47)⋊C4—24no—
238C2×(C2×D47)⋊C4C2311yescharacteristic
239C2×(C2×D47)⋊C4C2311yescharacteristic
240C2×(C2×D47)⋊C4C2311yescharacteristic
241C2×(C2×D47)⋊C4C2311yescharacteristic
242C2×(C2×D47)⋊C4C2311yescharacteristic
243C2×(C2×D47)⋊C4C2311yescharacteristic
244C2×(C2×D47)⋊C4C2311yescharacteristic
245C2×(C2×D47)⋊C4C2311yescharacteristic
246C2×(C2×D47)⋊C4C2311yescharacteristic
247C2×(C2×D47)⋊C4C2311yescharacteristic
248C2×(C2×D47)⋊C4C2311yescharacteristic
249C2×(C2×D47)⋊C4C2311yescharacteristic
250C2×(C2×D47)⋊C4C2311yescharacteristic
251C2×(C2×D47)⋊C4C2311yescharacteristic
252C2×(C2×D47)⋊C4C2311yescharacteristic
253C2×(C2×D47)⋊C4C2311yescharacteristic
254C2×(C2×D47)⋊C4C2311yescharacteristic
255C2×(C2×D47)⋊C4C2311yescharacteristic
256C2×(C2×D47)⋊C4C2311yescharacteristic
257C2×(C2×D47)⋊C4C2311yescharacteristic
258C2×(C2×D47)⋊C4C2311yescharacteristic
259C2×(C2×D47)⋊C4C2311yescharacteristic
260C2×(C2×D47)⋊C4C2311yescharacteristic
261C2×(C2×D47)⋊C4C2311yescharacteristic
262C2×C4×Dic47—24no—
263C2×C4×Dic47—24no—
264C2×C4×Dic47C2311yescharacteristic
265C2×C4×Dic47C2311yescharacteristic
266C2×C4×Dic47C2311yescharacteristic
267C2×C4×Dic47C2311yescharacteristic
268C2×C4×Dic47C2311yescharacteristic
269C2×C4×Dic47C2311yescharacteristic
270C2×C4×Dic47C2311yescharacteristic
271C2×C4×Dic47C2311yescharacteristic
272C2×C4×Dic47C2311yescharacteristic
273C2×C4×Dic47C2311yescharacteristic
274C2×C4×Dic47C2311yescharacteristic
275C2×C4×Dic47C2311yescharacteristic
276C2×C4×Dic47C2311yescharacteristic
277C2×C4×Dic47C2311yescharacteristic
278C2×C4×Dic47C2311yescharacteristic
279C2×C4×Dic47C2311yescharacteristic
280C2×C4×Dic47C2311yescharacteristic
281C2×C4×Dic47C2311yescharacteristic
282C2×C4×Dic47C2311yescharacteristic
283C2×C4×Dic47C2311yescharacteristic
284C2×C4×Dic47C2311yescharacteristic
285C2×C4×Dic47C2311yescharacteristic
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
320C47⋊#95C2311yescharacteristic
321C47⋊#95C2311yescharacteristic
322C23×C4×C47C2311yescharacteristic
323C23×C4×C47C2311yescharacteristic
324C23×C4×C47C2311yescharacteristic
325C2×C4⋊C4×C47C2311yescharacteristic
326C2×C4⋊C4×C47C2311yescharacteristic
327C2×C4⋊C4×C47C2311yescharacteristic
328C2×C4⋊C4×C47C2311yescharacteristic
329C2×C4⋊C4×C47C2311yescharacteristic
330C2×C4⋊C4×C47C2311yescharacteristic
331C2×C22⋊C4×C47C2311yescharacteristic
332C2×C22⋊C4×C47C2311yescharacteristic
333C2×C22⋊C4×C47C2311yescharacteristic
334C2×C22⋊C4×C47C2311yescharacteristic
335C2×C42×C47C2311yescharacteristic
336C2×C42×C47C2311yescharacteristic
337#95×C47C2311yescharacteristic
338#95×C47C2311yescharacteristic
339#95×C47C2311yescharacteristic
340#95×C47C2311yescharacteristic
341#95×C47C2311yescharacteristic
342#95×C47C2311yescharacteristic
343#95×C47C2311yescharacteristic
344#95×C47C2311yescharacteristic
345#95×C47C2311yescharacteristic
346#95×C47C2311yescharacteristic
347#95×C47C2311yescharacteristic
348#95×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×C47C2411yescharacteristic
358C23×D47—22no—
359C23×D47—22no—
360C23×D47—22no—
361C23×D47—22no—
362C23×D47—22no—
363C23×D47—41no—
364C23×D47—41no—
365C23×D47C2411yescharacteristic
366C23×D47C2411yescharacteristic
367C22×C4×C47—22no—
368C22×C4×C47—22no—
369C22×C4×C47—22no—
370C22×C4×C47—22no—
371C22×C4×C47—22no—
372C22×C4×C47—22no—
373C22×C4×C47—22no—
374C22×C4×C47—41no—
375C22×C4×C47—41no—
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×C4×C47C2411yescharacteristic
386C22×C4×C47C2411yescharacteristic
387C22×C4×C47C2411yescharacteristic
388C22×C4×C47C2411yescharacteristic
389C22×C4×C47C2411yescharacteristic
390C22×Dic47—22no—
391C22×Dic47—22no—
392C22×Dic47—22no—
393C22×Dic47—22no—
394C22×Dic47—41no—
395C22×Dic47—41no—
396C22×Dic47#4114yes—
397C22×Dic47#4114yes—
398C22×Dic47#4114yes—
399C22×Dic47C2411yescharacteristic
400C22×Dic47C2411yescharacteristic
401C22×Dic47C2411yescharacteristic
402C22×Dic47C2411yescharacteristic
403C22×Dic47C2411yescharacteristic
404C22×Dic47C2411yescharacteristic
405C22×Dic47C2411yescharacteristic
406C22×Dic47C2411yescharacteristic
407C22×Dic47C2411yescharacteristic
408C22×Dic47C2411yescharacteristic
409C22×Dic47C2411yescharacteristic
410C22×Dic47C2411yescharacteristic
411C22×Dic47C2411yescharacteristic
412C22×Dic47C2411yescharacteristic
413C2×C4×D47—22no—
414C2×C4×D47—22no—
415C2×C4×D47—22no—
416C2×C4×D47—22no—
417C2×C4×D47—22no—
418C2×C4×D47—22no—
419C2×C4×D47—22no—
420C2×C4×D47—22no—
421C2×C4×D47—22no—
422C2×C4×D47—22no—
423C2×C4×D47—22no—
424C2×C4×D47—22no—
425C2×C4×D47—416no—
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—
436C42×C47—22no—
437C42×C47—41no—
438C22⋊Dic47—22no—
439C22⋊Dic47—22no—
440C22⋊Dic47—22no—
441C22⋊Dic47—22no—
442(C2×D47)⋊C4—22no—
443(C2×D47)⋊C4—22no—
444(C2×D47)⋊C4—22no—
445(C2×D47)⋊C4—22no—
446(C2×D47)⋊C4—22no—
447(C2×D47)⋊C4—22no—
448(C2×D47)⋊C4—22no—
449(C2×D47)⋊C4—22no—
450(C2×D47)⋊C4—22no—
451(C2×D47)⋊C4—22no—
452(C2×D47)⋊C4—22no—
453(C2×D47)⋊C4—22no—
454(C2×D47)⋊C4—22no—
455(C2×D47)⋊C4—22no—
456(C2×D47)⋊C4—41no—
457(C2×D47)⋊C4—41no—
458(C2×D47)⋊C4—41no—
459(C2×D47)⋊C4—41no—
460(C2×D47)⋊C4—41no—
461(C2×D47)⋊C4—41no—
462(C2×D47)⋊C4—41no—
463(C2×D47)⋊C4—41no—
464(C2×D47)⋊C4#4114yes—
465(C2×D47)⋊C4#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×C47C2×#4112yes—
519C23×C47C2×#4112yes—
520C23×C47C2×#4112yes—
521C23×C47C2511yescharacteristic
522C22×D47—28no—
523C22×D47—21no—
524C22×D47—21no—
525C22×D47—21no—
526C22×D47—21no—
527C22×D47—21no—
528C22×D47—21no—
529C22×D47—21no—
530C22×D47—21no—
531C22×D47—21no—
532C22×D47—21no—
533C22×D47—21no—
534C22×D47—21no—
535C22×D47—44no—
536C22×D47—44no—
537C22×D47—44no—
538C22×D47—44no—
539C22×D47—44no—
540C22×D47—44no—
541C22×D47C2×#4112yes—
542C22×D47C2×#4112yes—
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—21no—
578C2×C4×C47—21no—
579C2×C4×C47—21no—
580C2×C4×C47—21no—
581C2×C4×C47—21no—
582C2×C4×C47—21no—
583C2×C4×C47—44no—
584C2×C4×C47—44no—
585C2×C4×C47—44no—
586C2×C4×C47C2×#4112yes—
587C2×C4×C47C2×#4112yes—
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—21no—
622C2×Dic47—44no—
623C2×Dic47—44no—
624C2×Dic47#126116yescomplemented
625C2×Dic47C2×#4112yes—
626C2×Dic47C2×#4112yes—
627C2×Dic47C2×#4112yes—
628C2×Dic47C2×#4112yes—
629C2×Dic47C2×#4112yes—
630C2×Dic47C2×#4112yes—
631C2×Dic47C2×#4112yes—
632C2×Dic47C2×#4112yes—
633C4×D47—44no—
634C4×D47—44no—
635C4×D47—44no—
636C4×D47—44no—
637#34814—471nomaximal, Sylow
638C22×C47—22no—
639C22×C47—22no—
640C22×C47—22no—
641C22×C47—22no—
642C22×C47—22no—
643C22×C47—22no—
644C22×C47C2×#12614yes—
645C22×C47C22×#4111yescharacteristic
646C22×C47C22×#4111yescharacteristic
647C22×C47C22×#4111yescharacteristic
648C22×C47C22×#4111yescharacteristic
649C22×C47C22×#4111yescharacteristic
650C22×C47#58511yescharacteristic
651C22×C47#58511yescharacteristic
652C2×D47—22no—
653C2×D47—22no—
654C2×D47—22no—
655C2×D47—22no—
656C2×D47—22no—
657C2×D47—22no—
658C2×D47—416no—
659C2×D47—41no—
660C2×D47—41no—
661C2×D47—41no—
662C2×D47—41no—
663C2×D47—41no—
664C2×D47—41no—
665C2×D47—41no—
666C2×D47—41no—
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—
679C4×C47—41no—
680C4×C47—41no—
681Dic47—22no—
682Dic47—22no—
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#2493D4711yescharacteristic, complemented
707#2480—471no—
708#2480—471no—
709#2480—471no—
710#2480—471no—
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×C47C22×#12611yescharacteristic
728C2×C47#344411yescharacteristic
729C2×C47#345511yescharacteristic
730C2×C47#347511yescharacteristic
731C2×C47#347511yescharacteristic
732C2×C47#347511yescharacteristic
733C2×C47#347511yescharacteristic
734D47—42no—
735D47—42no—
736C24×C4—471no—
737C2×#126—471no—
738C2×#126—471no—
739C2×#126—471no—
740C2×#126—471no—
741C2×#117—471no—
742C2×#117—471no—
743C2×#117—471no—
744C2×#117—471no—
745C22×C22⋊C4—471no—
746C22×C22⋊C4—471no—
747C22×C42—471no—
748C22×C42—471no—
749#401—471no—
750#401—471no—
751#401—471no—
752#401C2×D4711yescharacteristic, complemented
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#400C2×D4711yescharacteristic, complemented
763#400C2×D4711yescharacteristic, complemented
764#400C2×D4711yescharacteristic, complemented
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#397—471no—
775#397—471no—
776#397—471no—
777#396—471no—
778#396—471no—
779#396—471no—
780#396—471no—
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#388—471no—
799#388—471no—
800#388—471no—
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#387C2×D4711yescharacteristic, complemented
811#387C2×D4711yescharacteristic, complemented
812#387C2×D4711yescharacteristic, complemented
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#383C2×D4711yescharacteristic, complemented
827#382—471no—
828#382—471no—
829#381—471no—
830#381—471no—
831#381C2×D4711yescharacteristic
832#381C2×D4711yescharacteristic
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#379—471no—
848#379—471no—
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×#95C2×D4711yescharacteristic
889C43—471no—
890C43—471no—
891C47#3481411yescharacteristic, complemented, Sylow
892C25—471no—
893C23×C4—471no—
894C23×C4—471no—
895C23×C4—471no—
896C23×C4—471no—
897C23×C4—471no—
898C23×C4—471no—
899C23×C4—471no—
900C23×C4—944no—
901C23×C4—944no—
902C23×C4—944no—
903C23×C4C22×D4711yescharacteristic
904C23×C4C22×D4711yescharacteristic
905C23×C4C22×D4711yescharacteristic
906#126—944no—
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—471no—
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—471no—
964C2×C22⋊C4—471no—
965C2×C22⋊C4—471no—
966C2×C22⋊C4—471no—
967C2×C22⋊C4—471no—
968C2×C22⋊C4—471no—
969C2×C22⋊C4—471no—
970C2×C22⋊C4—471no—
971C2×C22⋊C4—471no—
972C2×C22⋊C4—471no—
973C2×C22⋊C4—471no—
974C2×C22⋊C4—944no—
975C2×C22⋊C4—944no—
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#95C22×D4711yescharacteristic
1043#95C22×D4711yescharacteristic
1044#95C22×D4711yescharacteristic
1045#95C22×D4711yescharacteristic
1046#95C22×D4711yescharacteristic
1047#95C22×D4711yescharacteristic
1048#95C22×D4711yescharacteristic
1049#95C22×D4711yescharacteristic
1050#95C22×D4711yescharacteristic
1051#95C22×D4711yescharacteristic
1052#95C22×D4711yescharacteristic
1053#95C22×D4711yescharacteristic
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—471no—
1063C24—471no—
1064C24—942no—
1065C24—942no—
1066C24—942no—
1067C24—942no—
1068C24—942no—
1069C24—1881no—
1070C24—1881no—
1071C24C23×D4711yescharacteristic
1072C22×C4—22no—
1073C22×C4—22no—
1074C22×C4—22no—
1075C22×C4—22no—
1076C22×C4—22no—
1077C22×C4—22no—
1078C22×C4—22no—
1079C22×C4—41no—
1080C22×C4—41no—
1081C22×C4—474no—
1082C22×C4—474no—
1083C22×C4—474no—
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—471no—
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—18816no—
1115C22×C4—1881no—
1116C22×C4—1881no—
1117C22×C4C23×D4711yescharacteristic
1118C22×C4C23×D4711yescharacteristic
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—474no—
1168C22⋊C4—474no—
1169C22⋊C4—942no—
1170C22⋊C4—942no—
1171C22⋊C4—942no—
1172C22⋊C4—942no—
1173C22⋊C4—942no—
1174C22⋊C4—942no—
1175C22⋊C4—942no—
1176C22⋊C4—942no—
1177C22⋊C4—942no—
1178C22⋊C4—942no—
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—1881no—
1188C22⋊C4—1881no—
1189C22⋊C4—1881no—
1190C22⋊C4—1881no—
1191C22⋊C4—1881no—
1192C22⋊C4—1881no—
1193C22⋊C4—1881no—
1194C22⋊C4—1881no—
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—472no—
1224C23—472no—
1225C23—948no—
1226C23—941no—
1227C23—941no—
1228C23—941no—
1229C23—941no—
1230C23—941no—
1231C23—941no—
1232C23—941no—
1233C23—941no—
1234C23—941no—
1235C23—941no—
1236C23—941no—
1237C23—941no—
1238C23—1884no—
1239C23—1884no—
1240C23—1884no—
1241C23—1884no—
1242C23—1884no—
1243C23—1884no—
1244C23#41×D4712yes—
1245C23#41×D4712yes—
1246C23#41×D4712yes—
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—21no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—44no—
1289C2×C4—44no—
1290C2×C4—44no—
1291C2×C4—4716no—
1292C2×C4—472no—
1293C2×C4—472no—
1294C2×C4—472no—
1295C2×C4—472no—
1296C2×C4—472no—
1297C2×C4—472no—
1298C2×C4—472no—
1299C2×C4—472no—
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—941no—
1334C2×C4—1884no—
1335C2×C4—1884no—
1336C2×C4—1884no—
1337C2×C4—1884no—
1338C2×C4—1884no—
1339C2×C4—1884no—
1340C2×C4#41×D4712yes—
1341C2×C4#41×D4712yes—
1342C22—22no—
1343C22—22no—
1344C22—22no—
1345C22—22no—
1346C22—22no—
1347C22—22no—
1348C22—942no—
1349C22—942no—
1350C22—942no—
1351C22—942no—
1352C22—942no—
1353C22—942no—
1354C22—18816no—
1355C22—1881no—
1356C22—1881no—
1357C22—1881no—
1358C22—1881no—
1359C22—1881no—
1360C22—1881no—
1361C22—1881no—
1362C22—1881no—
1363C22#126×D4714yes—
1364C22C2×#41×D4711yescharacteristic
1365C22C2×#41×D4711yescharacteristic
1366C22C2×#41×D4711yescharacteristic
1367C22C2×#41×D4711yescharacteristic
1368C22C2×#41×D4711yescharacteristic
1369C22#1568995811yescharacteristic
1370C22#1568996011yescharacteristic
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—41no—
1384C4—41no—
1385C4—474no—
1386C4—474no—
1387C4—942no—
1388C4—942no—
1389C4—1881no—
1390C4—1881no—
1391C4—1881no—
1392C4—1881no—
1393C4—1881no—
1394C4—1881no—
1395C4—1881no—
1396C4—1881no—
1397C4—1881no—
1398C4—1881no—
1399C2—24no—
1400C2—1882no—
1401C2—1882no—
1402C2C2×#126×D4711yescharacteristic
1403C2#2025668211yescharacteristic
1404C2#2025677411yescharacteristic
1405C2#2025694311yescharacteristic
1406C2#2025694311yescharacteristic
1407C2#2025695311yescharacteristic
1408C2#2025695311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2493C2
prime radicalC24×D47C23
hypercenter#2493D47
hypocenterC47#34814
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2493

Complements

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

NH ≅ G/Ntype
1. #20247820C2semidirect
2. #20247816C2semidirect
3. #20247809C2semidirect
4. #20247805C2semidirect
5. #20247798C2semidirect
6. #20247794C2semidirect
7. #20247787C2semidirect
8. #20247783C2semidirect
9. #20247777C2semidirect
10. #20247773C2semidirect
11. #20247769C2semidirect
16. #20246691C2semidirect
17. #20246687C2semidirect
18. #20246687C2semidirect
19. #20246687C2semidirect
20. #20245938C2semidirect
21. #20245938C2semidirect
22. #20245938C2semidirect
23. #20245936C2semidirect
24. #20245867C2semidirect
25. #20245867C2semidirect
26. #20245790C2semidirect
29. C4×#13093980C2semidirect
31. C47×#2493C2semidirect
45. C47⋊#401C22semidirect
46. C47⋊#401C22semidirect
47. C47⋊#401C22semidirect
48. #15689065C22semidirect
49. #15689065C22semidirect
50. #15689065C22semidirect
51. #15689064C22semidirect
52. #15689064C22semidirect
53. #15689064C22semidirect
54. #15689063C22semidirect
55. #15689063C22semidirect
56. #15689063C22semidirect
73. #15689020C22semidirect
74. #15689020C22semidirect
75. #15689020C22semidirect
76. #15689020C22semidirect
77. #15689018C22semidirect
78. #15689018C22semidirect
79. #15689018C22semidirect
80. #15689018C22semidirect
93. #15689010C22semidirect
94. #15689010C22semidirect
95. #15689010C22semidirect
96. #15689008C22semidirect
97. #15689008C22semidirect
98. #15689008C22semidirect
99. #15689005C22semidirect
100. #15689005C22semidirect
101. #15689005C22semidirect
108. #15688992C22semidirect
109. #15688992C22semidirect
110. #15688990C22semidirect
111. #15688990C22semidirect
112. #15688990C22semidirect
113. #15688987C22semidirect
114. #15688987C22semidirect
132. C4⋊C4×Dic47C22semidirect
133. C4⋊C4×Dic47C22semidirect
134. C4⋊C4×Dic47C22semidirect
135. C4⋊C4×Dic47C22semidirect
136. C4⋊C4×Dic47C22semidirect
137. C4⋊C4×Dic47C22semidirect
138. C4×Dic47⋊C4C22semidirect
139. C4×Dic47⋊C4C22semidirect
140. #15688974C22semidirect
141. #15688974C22semidirect
142. #15688974C22semidirect
143. #15688974C22semidirect
144. #15688974C22semidirect
145. #15688974C22semidirect
146. #15688974C22semidirect
147. #15688974C22semidirect
167. #15688968C22semidirect
168. #15688968C22semidirect
170. C42×Dic47C22semidirect
171. C42×Dic47C22semidirect
172. C47×#401C22semidirect
173. C47×#400C22semidirect
174. C47×#400C22semidirect
175. C47×#400C22semidirect
176. C47×#387C22semidirect
177. C47×#387C22semidirect
178. C47×#387C22semidirect
181. C47×#383C22semidirect
624. C2×Dic47#126semidirect
706. #2493D47semidirect
752. #401C2×D47semidirect
762. #400C2×D47semidirect
763. #400C2×D47semidirect
764. #400C2×D47semidirect
810. #387C2×D47semidirect
811. #387C2×D47semidirect
812. #387C2×D47semidirect
826. #383C2×D47semidirect
891. C47#34814semidirect

Maximal subgroups

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

subgroupindex
#202478202
#202478162
#202478092
#202478052
#202477982
#202477942
#202477872
#202477832
#202477772
#202477732
#202477692
#202476412
#202476392
#202476362
#202476342
#202466912
#202466872
#202459382
#202459362
#202458672
#202457902
#202457682
C4×#130939802
C2×#156889702
C47×#24932
#3481447