Finite Group Databasebeta

← #26386174

Subgroups — #26386174

Order 12032.

1892 conjugacy classes of subgroups.

The subgroup lattice has 1402 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20248270C211yesmaximal, characteristic, complemented
2#20248247C211yesmaximal, characteristic, complemented
3#20248242C211yesmaximal, characteristic, complemented
4#20248219C211yesmaximal, characteristic, complemented
5#20248205C211yesmaximal, characteristic, complemented
6#20248177C211yesmaximal, characteristic, complemented
7#20248154C211yesmaximal, characteristic, complemented
8#20247943C211yesmaximal, characteristic, complemented
9#20247886C211yesmaximal, characteristic, complemented
10#20247774C211yesmaximal, characteristic, complemented
11#20247711C211yesmaximal, characteristic, complemented
12#20247215C211yesmaximal, characteristic, complemented
13#20247143C211yesmaximal, characteristic
14#20246932C211yesmaximal, characteristic
15#20246870C211yesmaximal, characteristic, complemented
16#20246692C211yesmaximal, characteristic, complemented
17#20246691C211yesmaximal, characteristic, complemented
18#20246687C211yesmaximal, characteristic, complemented
19#20246677C211yesmaximal, characteristic, complemented
20#20245922C211yesmaximal, characteristic, complemented
21#20245909C211yesmaximal, characteristic, complemented
22#20245909C211yesmaximal, characteristic, complemented
23#20245896C211yesmaximal, characteristic
24#20245880C211yesmaximal, characteristic, complemented
25#20245861C211yesmaximal, characteristic, complemented
26#20245826C211yesmaximal, characteristic, complemented
27#20245826C211yesmaximal, characteristic, complemented
28#20245781C211yesmaximal, characteristic, complemented
29C4×#13093986C211yesmaximal, characteristic, complemented
30#376×D47C211yesmaximal, characteristic, complemented
31C47×#2528C211yesmaximal, characteristic, complemented
32C2×#13094009C2211yescharacteristic
33C2×#13094009C2211yescharacteristic
34C2×#13094002C2211yescharacteristic
35C2×#13093999C2211yescharacteristic
36C2×#13093989C2211yescharacteristic
37C2×C4×D188C2211yescharacteristic
38C2×#13093986C2211yescharacteristic
39C2×#13093986C2211yescharacteristic
40C2×#13093986C2211yescharacteristic
41C2×#13093986C2211yescharacteristic
42C2×#13093982C2211yescharacteristic
43C2×C42×D47C2211yescharacteristic
44C2×C42×D47C2211yescharacteristic
45C2×C42×D47C2211yescharacteristic
46C2×C42×D47C2211yescharacteristic
47C47⋊#401C2211yescharacteristic
48#15689065C2211yescharacteristic
49#15689065C2211yescharacteristic
50#15689064C2211yescharacteristic
51#15689064C2211yescharacteristic
52#15689064C2211yescharacteristic
53#15689063C2211yescharacteristic
54#15689063C2211yescharacteristic
55#15689062C2211yescharacteristic
56#15689061C2211yescharacteristic
57#15689061C2211yescharacteristic
58#15689056C2211yescharacteristic
59#15689055C2211yescharacteristic
60#15689053C2211yescharacteristic
61#15689052C2211yescharacteristic
62#15689052C2211yescharacteristic
63#15689052C2211yescharacteristic
64#15689052C2211yescharacteristic
65#15689052C2211yescharacteristic
66#15689052C2211yescharacteristic
67#15689050C2211yescharacteristic
68#15689049C2211yescharacteristic
69#15689047C2211yescharacteristic
70#15689045C2211yescharacteristic
71#15689041C2211yescharacteristic
72#15689040C2211yescharacteristic
73#15689036C2211yescharacteristic
74#15689036C2211yescharacteristic
75#15689027C2211yescharacteristic
76#15689027C2211yescharacteristic
77#15689027C2211yescharacteristic
78#15689025C2211yescharacteristic
79#15689020C2211yescharacteristic
80#15689020C2211yescharacteristic
81#15689018C2211yescharacteristic
82#15689015C2211yescharacteristic
83#15689015C2211yescharacteristic
84#15689015C2211yescharacteristic
85#15689014C2211yescharacteristic
86#15689014C2211yescharacteristic
87#15689014C2211yescharacteristic
88#15689014C2211yescharacteristic
89#15689014C2211yescharacteristic
90#15689013C2211yescharacteristic
91#15689013C2211yescharacteristic
92#15689013C2211yescharacteristic
93#15689012C2211yescharacteristic
94#15689012C2211yescharacteristic
95#15689012C2211yescharacteristic
96#15689009C2211yescharacteristic
97#15689009C2211yescharacteristic
98#15689009C2211yescharacteristic
99#15689009C2211yescharacteristic
100#15689008C2211yescharacteristic
101#15689007C2211yescharacteristic
102#15689007C2211yescharacteristic
103#15689006C2211yescharacteristic
104#15689005C2211yescharacteristic
105#15689004C2211yescharacteristic
106#15689004C2211yescharacteristic
107#15689001C2211yescharacteristic
108#15689001C2211yescharacteristic
109#15689001C2211yescharacteristic
110#15689001C2211yescharacteristic
111#15689001C2211yescharacteristic
112#15689001C2211yescharacteristic
113#15689001C2211yescharacteristic
114#15689001C2211yescharacteristic
115#15688997C2211yescharacteristic
116#15688997C2211yescharacteristic
117#15688997C2211yescharacteristic
118#15688997C2211yescharacteristic
119#15688997C2211yescharacteristic
120#15688994C2211yescharacteristic
121#15688994C2211yescharacteristic
122#15688994C2211yescharacteristic
123#15688990C2211yescharacteristic
124#15688990C2211yescharacteristic
125#15688989C2211yescharacteristic
126#15688985C2211yescharacteristic
127#15688985C2211yescharacteristic
128#15688985C2211yescharacteristic
129#15688985C2211yescharacteristic
130#15688982C2211yescharacteristic
131#15688980C2211yescharacteristic
132#15688980C2211yescharacteristic
133#15688980C2211yescharacteristic
134C4⋊C4×Dic47C2211yescharacteristic
135C4⋊C4×Dic47C2211yescharacteristic
136C4⋊C4×Dic47C2211yescharacteristic
137C4⋊C4×Dic47C2211yescharacteristic
138C4⋊C4×Dic47C2211yescharacteristic
139C4⋊C4×Dic47C2211yescharacteristic
140#15688974C2211yescharacteristic
141#15688974C2211yescharacteristic
142#15688974C2211yescharacteristic
143#15688974C2211yescharacteristic
144#15688974C2211yescharacteristic
145C4×(C2×D47)⋊C4C2211yescharacteristic
146C4×(C2×D47)⋊C4C2211yescharacteristic
147#15688970C2211yescharacteristic
148#15688970C2211yescharacteristic
149#15688970C2211yescharacteristic
150#15688970C2211yescharacteristic
151#15688970C2211yescharacteristic
152#15688970C2211yescharacteristic
153#15688970C2211yescharacteristic
154#15688970C2211yescharacteristic
155#15688970C2211yescharacteristic
156#15688970C2211yescharacteristic
157#15688970C2211yescharacteristic
158#15688970C2211yescharacteristic
159#15688969C2211yescharacteristic
160#15688969C2211yescharacteristic
161#15688969C2211yescharacteristic
162#15688968C2211yescharacteristic
163#15688968C2211yescharacteristic
164#15688968C2211yescharacteristic
165#15688968C2211yescharacteristic
166#15688968C2211yescharacteristic
167#95×D47C2211yescharacteristic
168#95×D47C2211yescharacteristic
169#95×D47C2211yescharacteristic
170#95×D47C2211yescharacteristic
171C42×Dic47C2211yescharacteristic
172C47×#401C2211yescharacteristic
173C47×#400C2211yescharacteristic
174C47×#400C2211yescharacteristic
175C47×#398C2211yescharacteristic
176C47×#389C2211yescharacteristic
177C47×#387C2211yescharacteristic
178C47×#387C2211yescharacteristic
179C47×#387C2211yescharacteristic
180C47×#387C2211yescharacteristic
181C47×#387C2211yescharacteristic
182C47×#387C2211yescharacteristic
183C47×#387C2211yescharacteristic
184C47×#382C2211yescharacteristic
185C4×C4⋊C4×C47C2211yescharacteristic
186C47×#376C2211yescharacteristic
187C22×Dic94C2311yescharacteristic
188C22×D188C2311yescharacteristic
189C22×D188C2311yescharacteristic
190C22×D188C2311yescharacteristic
191C22×C4×D47C2311yescharacteristic
192C22×C4×D47C2311yescharacteristic
193C22×C4×D47C2311yescharacteristic
194C22×C4×D47C2311yescharacteristic
195C22×C4×D47C2311yescharacteristic
196C22×C4×D47C2311yescharacteristic
197C22×C4×D47C2311yescharacteristic
198C22×C4×D47C2311yescharacteristic
199C22×C4×D47C2311yescharacteristic
200C22×C4×D47C2311yescharacteristic
201C22×C4×D47C2311yescharacteristic
202#13094009—24no—
203#13094009—24no—
204#13094002—24no—
205#13093999—24no—
206#13093989—24no—
207C4×D188—24no—
208#13093986—24no—
209#13093986—24no—
210#13093986—24no—
211#13093986—24no—
212#13093982—24no—
213C2×C4⋊Dic47C2311yescharacteristic
214C2×C4⋊Dic47C2311yescharacteristic
215C2×C4⋊Dic47C2311yescharacteristic
216C2×C4⋊Dic47C2311yescharacteristic
217C2×C4⋊Dic47C2311yescharacteristic
218C2×C4⋊Dic47C2311yescharacteristic
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×(C2×D47)⋊C4C2311yescharacteristic
232C2×(C2×D47)⋊C4C2311yescharacteristic
233C2×(C2×D47)⋊C4C2311yescharacteristic
234C2×(C2×D47)⋊C4C2311yescharacteristic
235C2×(C2×D47)⋊C4C2311yescharacteristic
236C2×(C2×D47)⋊C4C2311yescharacteristic
237C2×(C2×D47)⋊C4C2311yescharacteristic
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×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
272C2×C4×Dic47C2311yescharacteristic
273C2×C4×Dic47C2311yescharacteristic
274C2×C4×Dic47C2311yescharacteristic
275C2×C4×Dic47C2311yescharacteristic
276C2×C4×Dic47C2311yescharacteristic
277C2×C4×Dic47C2311yescharacteristic
278C42×D47—24no—
279C42×D47—24no—
280C42×D47—24no—
281C42×D47—24no—
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
320C47⋊#95C2311yescharacteristic
321C47⋊#95C2311yescharacteristic
322C2×C4⋊C4×C47C2311yescharacteristic
323C2×C4⋊C4×C47C2311yescharacteristic
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×C4⋊C4×C47C2311yescharacteristic
331C2×C4⋊C4×C47C2311yescharacteristic
332C2×C42×C47C2311yescharacteristic
333C2×C42×C47C2311yescharacteristic
334C2×C42×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
357C23×D47C2411yescharacteristic
358C23×D47C2411yescharacteristic
359C23×D47C2411yescharacteristic
360C22×C4×C47C2411yescharacteristic
361C22×C4×C47C2411yescharacteristic
362C22×C4×C47C2411yescharacteristic
363C22×C4×C47C2411yescharacteristic
364C22×C4×C47C2411yescharacteristic
365C22×C4×C47C2411yescharacteristic
366C22×C4×C47C2411yescharacteristic
367C22×C4×C47C2411yescharacteristic
368C22×C4×C47C2411yescharacteristic
369C22×C4×C47C2411yescharacteristic
370C22×C4×C47C2411yescharacteristic
371C22×C4×C47C2411yescharacteristic
372C22×C4×C47C2411yescharacteristic
373C22×C4×C47C2411yescharacteristic
374C22×C4×C47C2411yescharacteristic
375C22×Dic47C2411yescharacteristic
376C22×Dic47C2411yescharacteristic
377C22×Dic47C2411yescharacteristic
378C22×Dic47C2411yescharacteristic
379C22×Dic47C2411yescharacteristic
380C22×Dic47C2411yescharacteristic
381C22×Dic47C2411yescharacteristic
382C22×Dic47C2411yescharacteristic
383C22×Dic47C2411yescharacteristic
384C22×Dic47C2411yescharacteristic
385C22×Dic47C2411yescharacteristic
386C22×Dic47C2411yescharacteristic
387C22×Dic47C2411yescharacteristic
388C2×D188—22no—
389C2×D188—22no—
390C2×D188—22no—
391C2×D188—22no—
392C2×D188—22no—
393C2×D188—22no—
394C2×D188—22no—
395C2×D188—41no—
396C2×D188#4114yes—
397C2×C4×D47—22no—
398C2×C4×D47—22no—
399C2×C4×D47—22no—
400C2×C4×D47—22no—
401C2×C4×D47—22no—
402C2×C4×D47—22no—
403C2×C4×D47—22no—
404C2×C4×D47—22no—
405C2×C4×D47—22no—
406C2×C4×D47—22no—
407C2×C4×D47—22no—
408C2×C4×D47—22no—
409C2×C4×D47—22no—
410C2×C4×D47—22no—
411C2×C4×D47—22no—
412C2×C4×D47—22no—
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—41no—
422C2×C4×D47—41no—
423C2×C4×D47—41no—
424C2×C4×D47—41no—
425C2×C4×D47—41no—
426C2×C4×D47—41no—
427C2×C4×D47—41no—
428C2×C4×D47—41no—
429C2×C4×D47#4114yes—
430C2×Dic94—22no—
431C2×Dic94—22no—
432C2×Dic94—41no—
433C4⋊C4×C47—22no—
434C4⋊C4×C47—22no—
435C4⋊C4×C47—22no—
436C4⋊C4×C47—22no—
437C4⋊C4×C47—22no—
438C4⋊C4×C47—22no—
439C4⋊C4×C47—22no—
440C4⋊C4×C47—22no—
441C4⋊C4×C47—22no—
442C4⋊C4×C47—22no—
443C42×C47—22no—
444C42×C47—22no—
445C42×C47—22no—
446C42×C47—22no—
447C42×C47—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—22no—
457(C2×D47)⋊C4—22no—
458(C2×D47)⋊C4—22no—
459(C2×D47)⋊C4—22no—
460(C2×D47)⋊C4—22no—
461(C2×D47)⋊C4—22no—
462(C2×D47)⋊C4—22no—
463(C2×D47)⋊C4—22no—
464(C2×D47)⋊C4—22no—
465(C2×D47)⋊C4—22no—
466(C2×D47)⋊C4—22no—
467(C2×D47)⋊C4—41no—
468(C2×D47)⋊C4—41no—
469(C2×D47)⋊C4—41no—
470(C2×D47)⋊C4—41no—
471(C2×D47)⋊C4—41no—
472(C2×D47)⋊C4—41no—
473(C2×D47)⋊C4—41no—
474(C2×D47)⋊C4—41no—
475(C2×D47)⋊C4#4114yes—
476C4⋊Dic47—22no—
477C4⋊Dic47—22no—
478C4⋊Dic47—41no—
479C4⋊Dic47—41no—
480C4⋊Dic47—41no—
481C4⋊Dic47—41no—
482Dic47⋊C4—22no—
483Dic47⋊C4—22no—
484Dic47⋊C4—22no—
485Dic47⋊C4—22no—
486Dic47⋊C4—22no—
487Dic47⋊C4—22no—
488Dic47⋊C4—41no—
489Dic47⋊C4—41no—
490Dic47⋊C4—41no—
491Dic47⋊C4—41no—
492Dic47⋊C4—41no—
493Dic47⋊C4—41no—
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—41no—
510C4×Dic47—41no—
511C4×Dic47#4114yes—
512C4×Dic47#4114yes—
513C23×C47C2511yescharacteristic
514C22×D47—21no—
515C22×D47—21no—
516C22×D47—21no—
517C22×D47—21no—
518C22×D47—21no—
519C22×D47—21no—
520C22×D47—21no—
521C22×D47—21no—
522C22×D47—21no—
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×D47C2×#4112yes—
532C22×D47C2×#4112yes—
533C22×D47C2×#4112yes—
534C22×D47C2×#4112yes—
535C2×C4×C47—21no—
536C2×C4×C47—21no—
537C2×C4×C47—21no—
538C2×C4×C47—21no—
539C2×C4×C47—21no—
540C2×C4×C47—21no—
541C2×C4×C47—21no—
542C2×C4×C47—21no—
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×C47C2×#4112yes—
576C2×C4×C47C2×#4112yes—
577C2×C4×C47C2×#4112yes—
578C2×C4×C47C2×#4112yes—
579C2×C4×C47C2×#4112yes—
580C2×Dic47—21no—
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×Dic47C2×#4112yes—
614C2×Dic47C2×#4112yes—
615C2×Dic47C2×#4112yes—
616C2×Dic47C2×#4112yes—
617C2×Dic47C2×#4112yes—
618C2×Dic47C2×#4112yes—
619D188—28no—
620D188—44no—
621D188—44no—
622C4×D47—28no—
623C4×D47—44no—
624C4×D47—44no—
625C4×D47—44no—
626C4×D47—44no—
627C4×D47—44no—
628C4×D47—44no—
629C4×D47—44no—
630C4×D47—44no—
631C4×D47—44no—
632C4×D47—44no—
633Dic94—44no—
634#34811—471nomaximal, Sylow
635C22×C47C22×#4111yescharacteristic
636C22×C47C22×#4111yescharacteristic
637C22×C47C22×#4111yescharacteristic
638C22×C47C22×#4111yescharacteristic
639C22×C47C22×#4111yescharacteristic
640C22×C47#58511yescharacteristic
641C22×C47#58511yescharacteristic
642C2×D47—22no—
643C2×D47—22no—
644C2×D47—22no—
645C2×D47—22no—
646C2×D47—22no—
647C2×D47—22no—
648C2×D47—22no—
649C2×D47—22no—
650C2×D47—22no—
651C2×D47—41no—
652C2×D47—41no—
653C2×D47—41no—
654C2×D47—41no—
655C2×D47—41no—
656C2×D47—41no—
657C2×D47—41no—
658C2×D47—41no—
659C2×D47—41no—
660C2×D47—41no—
661C2×D47—41no—
662C2×D47#52914yes—
663C4×C47—22no—
664C4×C47—22no—
665C4×C47—22no—
666C4×C47—22no—
667C4×C47—22no—
668C4×C47—41no—
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—
678Dic47—22no—
679Dic47—22no—
680Dic47—22no—
681Dic47—41no—
682Dic47—41no—
683Dic47—41no—
684Dic47—41no—
685Dic47—41no—
686Dic47—41no—
687Dic47—41no—
688Dic47—41no—
689Dic47—41no—
690Dic47#52914yes—
691#2533—471no—
692#2532—471no—
693#2531—471no—
694#2530—471no—
695#2529—471no—
696#2528D4711yescharacteristic, complemented
697#2527—471no—
698#2526—471no—
699#2510—471no—
700#2505—471no—
701#2493—471no—
702#2488—471no—
703#2450—471no—
704#2444—471no—
705#2425—471no—
706#2419—471no—
707#2402—471no—
708#2401—471no—
709#2401—471no—
710#2398—471no—
711C4×C22⋊Q8—471no—
712C4×#123—471no—
713C4×#123—471no—
714C4×#121—471no—
715#2298—471no—
716#2295—471no—
717#2290—471no—
718#2290—471no—
719#2283—471no—
720C42×D4—471no—
721C2×#376—471no—
722C2×C47C2×#52911yescharacteristic
723C2×C47C2×#52911yescharacteristic
724C2×C47#345511yescharacteristic
725C2×C47#347511yescharacteristic
726C2×C47#347511yescharacteristic
727C2×C47#347511yescharacteristic
728C2×C47#347511yescharacteristic
729D47—24no—
730D47—42no—
731D47—81no—
732C2×#123—471no—
733C2×#123—471no—
734C2×C22⋊Q8—471no—
735C2×#121—471no—
736C2×C4×Q8—471no—
737C2×C4×D4—471no—
738C2×C4×D4—471no—
739C2×C4×D4—471no—
740C2×C4×D4—471no—
741C2×C4×D4—471no—
742C2×#117—471no—
743C22×C42—471no—
744C22×C42—471no—
745C22×C42—471no—
746C22×C42—471no—
747#401—471no—
748#401C2×D4711yescharacteristic
749#400—471no—
750#400—471no—
751#400—471no—
752#400—471no—
753#400—471no—
754#400—471no—
755#400—471no—
756#400—471no—
757#400—471no—
758#400—471no—
759#400C2×D4711yescharacteristic
760#400C2×D4711yescharacteristic
761#398—471no—
762#398—471no—
763#398—471no—
764#398C2×D4711yescharacteristic
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#396—471no—
774#396—471no—
775#394—471no—
776#394—471no—
777#393—471no—
778#393—471no—
779#391—471no—
780#391—471no—
781#391—471no—
782#390—471no—
783#389—471no—
784#389—471no—
785#389—471no—
786#389C2×D4711yescharacteristic
787#388—471no—
788#388—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#387—471no—
811#387—471no—
812#387C2×D4711yescharacteristic
813#387C2×D4711yescharacteristic
814#387C2×D4711yescharacteristic
815#387C2×D4711yescharacteristic
816#387C2×D4711yescharacteristic
817#387C2×D4711yescharacteristic
818#387C2×D4711yescharacteristic
819#386—471no—
820#386—471no—
821#386—471no—
822#386—471no—
823#386—471no—
824#386—471no—
825#386—471no—
826#386—471no—
827#385—471no—
828#385—471no—
829#385—471no—
830#385—471no—
831#385—471no—
832#385—471no—
833#385—471no—
834#385—471no—
835#383—471no—
836#383—471no—
837#382—471no—
838#382C2×D4711yescharacteristic
839#381—471no—
840#381—471no—
841#381—471no—
842#381—471no—
843#380—471no—
844#380—471no—
845#380—471no—
846#380—471no—
847C4×C4⋊C4—471no—
848C4×C4⋊C4—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⋊C4C2×D4711yescharacteristic
859C4×C22⋊C4—471no—
860C4×C22⋊C4—471no—
861C4×C22⋊C4—471no—
862C4×C22⋊C4—471no—
863C4×C22⋊C4—471no—
864C4×C22⋊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—
873#376—471no—
874#376—471no—
875#376—471no—
876#376—471no—
877#376—471no—
878#376—471no—
879#376—471no—
880#376—471no—
881#376C2×D4711yescharacteristic
882C2×#95—471no—
883C2×#95—471no—
884C2×#95—471no—
885C2×#95—471no—
886C43—471no—
887C47#3481111yescharacteristic, complemented, Sylow
888C22×Q8—471no—
889C22×D4—471no—
890C22×D4—471no—
891C22×D4—471no—
892C23×C4—471no—
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—471no—
902C23×C4—471no—
903#123—944no—
904#123—944no—
905C22⋊Q8—944no—
906#121—944no—
907C4×Q8—944no—
908C4×D4—944no—
909C4×D4—944no—
910C4×D4—944no—
911C4×D4—944no—
912C4×D4—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⋊C4C22×D4711yescharacteristic
933C2×C4⋊C4C22×D4711yescharacteristic
934C2×C4⋊C4C22×D4711yescharacteristic
935C2×C4⋊C4C22×D4711yescharacteristic
936C2×C4⋊C4C22×D4711yescharacteristic
937C2×C4⋊C4C22×D4711yescharacteristic
938C2×C4⋊C4C22×D4711yescharacteristic
939C2×C4⋊C4C22×D4711yescharacteristic
940C2×C4⋊C4C22×D4711yescharacteristic
941C2×C4⋊C4C22×D4711yescharacteristic
942C2×C22⋊C4—471no—
943C2×C22⋊C4—471no—
944C2×C22⋊C4—471no—
945C2×C22⋊C4—471no—
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×C42—471no—
971C2×C42—471no—
972C2×C42—471no—
973C2×C42—471no—
974C2×C42—471no—
975C2×C42—471no—
976C2×C42—471no—
977C2×C42—471no—
978C2×C42—471no—
979C2×C42—471no—
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—944no—
990C2×C42—944no—
991C2×C42—944no—
992C2×C42—944no—
993C2×C42C22×D4711yescharacteristic
994C2×C42C22×D4711yescharacteristic
995C2×C42C22×D4711yescharacteristic
996C2×C42C22×D4711yescharacteristic
997C2×C42C22×D4711yescharacteristic
998#95—471no—
999#95—471no—
1000#95—471no—
1001#95—471no—
1002#95—471no—
1003#95—471no—
1004#95—471no—
1005#95—471no—
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#95C22×D4711yescharacteristic
1039#95C22×D4711yescharacteristic
1040#95C22×D4711yescharacteristic
1041#95C22×D4711yescharacteristic
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
1058C24—471no—
1059C24—471no—
1060C24—471no—
1061C2×Q8—942no—
1062C2×Q8—942no—
1063C2×Q8—1881no—
1064C2×D4—474no—
1065C2×D4—942no—
1066C2×D4—942no—
1067C2×D4—942no—
1068C2×D4—942no—
1069C2×D4—942no—
1070C2×D4—942no—
1071C2×D4—942no—
1072C2×D4—1881no—
1073C22×C4—471no—
1074C22×C4—471no—
1075C22×C4—471no—
1076C22×C4—471no—
1077C22×C4—474no—
1078C22×C4—471no—
1079C22×C4—471no—
1080C22×C4—471no—
1081C22×C4—471no—
1082C22×C4—471no—
1083C22×C4—471no—
1084C22×C4—471no—
1085C22×C4—471no—
1086C22×C4—471no—
1087C22×C4—942no—
1088C22×C4—942no—
1089C22×C4—942no—
1090C22×C4—942no—
1091C22×C4—942no—
1092C22×C4—942no—
1093C22×C4—942no—
1094C22×C4—942no—
1095C22×C4—942no—
1096C22×C4—942no—
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—1881no—
1112C22×C4—1881no—
1113C22×C4—1881no—
1114C22×C4—1881no—
1115C22×C4—1881no—
1116C22×C4—1881no—
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
1131C22×C4C23×D4711yescharacteristic
1132C22×C4C23×D4711yescharacteristic
1133C22×C4C23×D4711yescharacteristic
1134C4⋊C4—22no—
1135C4⋊C4—22no—
1136C4⋊C4—22no—
1137C4⋊C4—22no—
1138C4⋊C4—22no—
1139C4⋊C4—22no—
1140C4⋊C4—22no—
1141C4⋊C4—22no—
1142C4⋊C4—22no—
1143C4⋊C4—22no—
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—1881no—
1153C4⋊C4—1881no—
1154C4⋊C4—1881no—
1155C4⋊C4—1881no—
1156C4⋊C4—1881no—
1157C4⋊C4—1881no—
1158C4⋊C4—1881no—
1159C4⋊C4—1881no—
1160C4⋊C4—1881no—
1161C4⋊C4—1881no—
1162C22⋊C4—474no—
1163C22⋊C4—942no—
1164C22⋊C4—942no—
1165C22⋊C4—942no—
1166C22⋊C4—942no—
1167C22⋊C4—942no—
1168C22⋊C4—942no—
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—1881no—
1183C22⋊C4—1881no—
1184C22⋊C4—1881no—
1185C22⋊C4—1881no—
1186C22⋊C4—1881no—
1187C22⋊C4—1881no—
1188C22⋊C4—1881no—
1189C22⋊C4—1881no—
1190C42—22no—
1191C42—22no—
1192C42—22no—
1193C42—22no—
1194C42—22no—
1195C42—474no—
1196C42—474no—
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—1881no—
1213C42—1881no—
1214C23—472no—
1215C23—472no—
1216C23—472no—
1217C23—472no—
1218C23—941no—
1219C23—941no—
1220C23—941no—
1221C23—941no—
1222C23—941no—
1223C23—941no—
1224C23—941no—
1225C23—941no—
1226C23—941no—
1227C23—941no—
1228C23—941no—
1229C23—941no—
1230C23—941no—
1231C23—941no—
1232C23—941no—
1233C23—941no—
1234C23—941no—
1235C23C24×D4711yescharacteristic
1236Q8—1884no—
1237D4—948no—
1238D4—1884no—
1239D4—1884no—
1240C2×C4—21no—
1241C2×C4—21no—
1242C2×C4—21no—
1243C2×C4—21no—
1244C2×C4—21no—
1245C2×C4—21no—
1246C2×C4—21no—
1247C2×C4—21no—
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—472no—
1281C2×C4—472no—
1282C2×C4—472no—
1283C2×C4—472no—
1284C2×C4—472no—
1285C2×C4—472no—
1286C2×C4—948no—
1287C2×C4—941no—
1288C2×C4—941no—
1289C2×C4—941no—
1290C2×C4—941no—
1291C2×C4—941no—
1292C2×C4—941no—
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—1884no—
1321C2×C4—1884no—
1322C2×C4—1884no—
1323C2×C4—1884no—
1324C2×C4—1884no—
1325C2×C4—1884no—
1326C2×C4—1884no—
1327C2×C4—1884no—
1328C2×C4—1884no—
1329C2×C4—1884no—
1330C2×C4#41×D4712yes—
1331C2×C4#41×D4712yes—
1332C2×C4#41×D4712yes—
1333C2×C4#41×D4712yes—
1334C2×C4#41×D4712yes—
1335C22—474no—
1336C22—942no—
1337C22—942no—
1338C22—942no—
1339C22—942no—
1340C22—942no—
1341C22—942no—
1342C22—942no—
1343C22—942no—
1344C22—942no—
1345C22—1881no—
1346C22—1881no—
1347C22—1881no—
1348C22—1881no—
1349C22—1881no—
1350C22—1881no—
1351C22—1881no—
1352C22—1881no—
1353C22—1881no—
1354C22—1881no—
1355C22—1881no—
1356C22C2×#41×D4711yescharacteristic
1357C22C2×#41×D4711yescharacteristic
1358C22C2×#41×D4711yescharacteristic
1359C22C2×#41×D4711yescharacteristic
1360C22C2×#41×D4711yescharacteristic
1361C22#1568996011yescharacteristic
1362C22#1568996011yescharacteristic
1363C4—22no—
1364C4—22no—
1365C4—22no—
1366C4—22no—
1367C4—22no—
1368C4—41no—
1369C4—41no—
1370C4—41no—
1371C4—41no—
1372C4—41no—
1373C4—41no—
1374C4—41no—
1375C4—41no—
1376C4—41no—
1377C4—41no—
1378C4—474no—
1379C4—942no—
1380C4—942no—
1381C4—942no—
1382C4—1881no—
1383C4—1881no—
1384C4—1881no—
1385C4—1881no—
1386C4—1881no—
1387C4—1881no—
1388C4—1881no—
1389C4—1881no—
1390C4—1881no—
1391C2—944no—
1392C2—3761no—
1393C2—1882no—
1394C2#529×D4711yescharacteristic
1395C2#529×D4711yescharacteristic
1396C2#2025677911yescharacteristic
1397C2#2025694111yescharacteristic
1398C2#2025694911yescharacteristic
1399C2#2025695311yescharacteristic
1400C2#2025695311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2528C2
prime radicalC2×#13093999C22
hypercenter#2528D47
hypocenterC47#34811
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2528

Complements

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

NH ≅ G/Ntype
1. #20248270C2semidirect
2. #20248247C2semidirect
3. #20248242C2semidirect
4. #20248219C2semidirect
5. #20248205C2semidirect
6. #20248177C2semidirect
7. #20248154C2semidirect
8. #20247943C2semidirect
9. #20247886C2semidirect
10. #20247774C2semidirect
11. #20247711C2semidirect
12. #20247215C2semidirect
15. #20246870C2semidirect
16. #20246692C2semidirect
17. #20246691C2semidirect
18. #20246687C2semidirect
19. #20246677C2semidirect
20. #20245922C2semidirect
21. #20245909C2semidirect
22. #20245909C2semidirect
24. #20245880C2semidirect
25. #20245861C2semidirect
26. #20245826C2semidirect
27. #20245826C2semidirect
28. #20245781C2semidirect
29. C4×#13093986C2semidirect
30. #376×D47C2semidirect
31. C47×#2528C2semidirect
696. #2528D47semidirect
887. C47#34811semidirect

Maximal subgroups

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

subgroupindex
#202482702
#202482472
#202482422
#202482192
#202482052
#202481772
#202481542
#202479432
#202478862
#202477742
#202477112
#202472152
#202471432
#202469322
#202468702
#202466922
#202466912
#202466872
#202466772
#202459222
#202459092
#202458962
#202458802
#202458612
#202458262
#202457812
C4×#130939862
#376×D472
C47×#25282
#3481147