Finite Group Databasebeta

← #26386176

Subgroups — #26386176

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#20248260C211yesmaximal, characteristic, complemented
2#20248253C211yesmaximal, characteristic, complemented
3#20248228C211yesmaximal, characteristic, complemented
4#20248221C211yesmaximal, characteristic, complemented
5#20248203C211yesmaximal, characteristic, complemented
6#20248196C211yesmaximal, characteristic, complemented
7#20248171C211yesmaximal, characteristic, complemented
8#20248164C211yesmaximal, characteristic, complemented
9#20247946C211yesmaximal, characteristic, complemented
10#20247889C211yesmaximal, characteristic, complemented
11#20247771C211yesmaximal, characteristic, complemented
12#20247716C211yesmaximal, characteristic, complemented
13#20247218C211yesmaximal, characteristic, complemented
14#20246945C211yesmaximal, characteristic
15#20246859C211yesmaximal, characteristic, complemented
16#20246694C211yesmaximal, characteristic, complemented
17#20246685C211yesmaximal, characteristic, complemented
18#20246685C211yesmaximal, characteristic, complemented
19#20246676C211yesmaximal, characteristic, complemented
20#20245920C211yesmaximal, characteristic, complemented
21#20245913C211yesmaximal, characteristic, complemented
22#20245913C211yesmaximal, characteristic, complemented
23#121×Dic47C211yesmaximal, characteristic
24#20245882C211yesmaximal, characteristic, complemented
25#20245861C211yesmaximal, characteristic, complemented
26#20245828C211yesmaximal, characteristic, complemented
27#20245828C211yesmaximal, characteristic, complemented
28#20245779C211yesmaximal, characteristic, complemented
29C4×D4×Dic47C211yesmaximal, characteristic, complemented
30C2×#15688968C211yesmaximal, characteristic, complemented
31C47×#2444C211yesmaximal, characteristic
32C2×#13094005C2211yescharacteristic
33C2×#13094005C2211yescharacteristic
34C2×#13094001C2211yescharacteristic
35C2×#13093989C2211yescharacteristic
36C2×D4×Dic47C2211yescharacteristic
37C2×D4×Dic47C2211yescharacteristic
38C2×D4×Dic47C2211yescharacteristic
39C2×D4×Dic47C2211yescharacteristic
40C2×#13093980C2211yescharacteristic
41C22×C4×Dic47C2211yescharacteristic
42C22×C4×Dic47C2211yescharacteristic
43C22×C4×Dic47C2211yescharacteristic
44C22×C4×Dic47C2211yescharacteristic
45C47⋊#401C2211yescharacteristic
46C47⋊#401C2211yescharacteristic
47#15689065C2211yescharacteristic
48#15689065C2211yescharacteristic
49#15689065C2211yescharacteristic
50#15689064C2211yescharacteristic
51#15689064C2211yescharacteristic
52#15689064C2211yescharacteristic
53#15689064C2211yescharacteristic
54#15689063C2211yescharacteristic
55#15689062C2211yescharacteristic
56#15689061C2211yescharacteristic
57#15689061C2211yescharacteristic
58#15689057C2211yescharacteristic
59#15689057C2211yescharacteristic
60#15689056C2211yescharacteristic
61#15689054C2211yescharacteristic
62#15689051C2211yescharacteristic
63#15689051C2211yescharacteristic
64#15689051C2211yescharacteristic
65#15689051C2211yescharacteristic
66#15689051C2211yescharacteristic
67#15689051C2211yescharacteristic
68#15689046C2211yescharacteristic
69#15689046C2211yescharacteristic
70#15689037C2211yescharacteristic
71#15689035C2211yescharacteristic
72#15689035C2211yescharacteristic
73#15689027C2211yescharacteristic
74#15689027C2211yescharacteristic
75#15689027C2211yescharacteristic
76#15689026C2211yescharacteristic
77#15689022C2211yescharacteristic
78#15689020C2211yescharacteristic
79#15689018C2211yescharacteristic
80#15689018C2211yescharacteristic
81#15689017C2211yescharacteristic
82#15689017C2211yescharacteristic
83#15689017C2211yescharacteristic
84#15689017C2211yescharacteristic
85#15689017C2211yescharacteristic
86#15689017C2211yescharacteristic
87#15689017C2211yescharacteristic
88#15689016C2211yescharacteristic
89#15689016C2211yescharacteristic
90#15689016C2211yescharacteristic
91#15689011C2211yescharacteristic
92#15689011C2211yescharacteristic
93#15689011C2211yescharacteristic
94#15689010C2211yescharacteristic
95#15689010C2211yescharacteristic
96#15689010C2211yescharacteristic
97#15689010C2211yescharacteristic
98#15689010C2211yescharacteristic
99#15689009C2211yescharacteristic
100#15689008C2211yescharacteristic
101#15689008C2211yescharacteristic
102#15689008C2211yescharacteristic
103#15689007C2211yescharacteristic
104#15689007C2211yescharacteristic
105#15689006C2211yescharacteristic
106#15689006C2211yescharacteristic
107#15689005C2211yescharacteristic
108#15689005C2211yescharacteristic
109#15689004C2211yescharacteristic
110#15689004C2211yescharacteristic
111#15689003C2211yescharacteristic
112#15689003C2211yescharacteristic
113#15689003C2211yescharacteristic
114#15689003C2211yescharacteristic
115#15688996C2211yescharacteristic
116#15688996C2211yescharacteristic
117#15688996C2211yescharacteristic
118#15688996C2211yescharacteristic
119#15688996C2211yescharacteristic
120#15688995C2211yescharacteristic
121#15688995C2211yescharacteristic
122#15688990C2211yescharacteristic
123#15688990C2211yescharacteristic
124#15688987C2211yescharacteristic
125#15688987C2211yescharacteristic
126#15688986C2211yescharacteristic
127#15688984C2211yescharacteristic
128#15688984C2211yescharacteristic
129#15688983C2211yescharacteristic
130#15688981C2211yescharacteristic
131#15688981C2211yescharacteristic
132#15688981C2211yescharacteristic
133C4⋊C4×Dic47C2211yescharacteristic
134C4⋊C4×Dic47C2211yescharacteristic
135C4⋊C4×Dic47C2211yescharacteristic
136C4⋊C4×Dic47C2211yescharacteristic
137C4×C4⋊Dic47C2211yescharacteristic
138#15688974C2211yescharacteristic
139#15688974C2211yescharacteristic
140#15688974C2211yescharacteristic
141#15688974C2211yescharacteristic
142#15688974C2211yescharacteristic
143#15688974C2211yescharacteristic
144#15688974C2211yescharacteristic
145C22⋊C4×Dic47C2211yescharacteristic
146C22⋊C4×Dic47C2211yescharacteristic
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
157C4×C22⋊Dic47C2211yescharacteristic
158C4×C22⋊Dic47C2211yescharacteristic
159#15688968C2211yescharacteristic
160#15688968C2211yescharacteristic
161#15688968C2211yescharacteristic
162#15688968C2211yescharacteristic
163#15688968C2211yescharacteristic
164#15688968C2211yescharacteristic
165#15688968C2211yescharacteristic
166#15688968C2211yescharacteristic
167#15688968C2211yescharacteristic
168C2×C47⋊#95C2211yescharacteristic
169C2×C47⋊#95C2211yescharacteristic
170C2×C47⋊#95C2211yescharacteristic
171C42×Dic47C2211yescharacteristic
172C2×#121×C47C2211yescharacteristic
173C2×C4×D4×C47C2211yescharacteristic
174C47×#400C2211yescharacteristic
175C47×#397C2211yescharacteristic
176C47×#397C2211yescharacteristic
177C47×#394C2211yescharacteristic
178C47×#388C2211yescharacteristic
179C47×#387C2211yescharacteristic
180C47×#386C2211yescharacteristic
181C47×#386C2211yescharacteristic
182C47×#386C2211yescharacteristic
183C47×#386C2211yescharacteristic
184C47×#385C2211yescharacteristic
185C47×#381C2211yescharacteristic
186C2×#95×C47C2211yescharacteristic
187C22×Dic94C2311yescharacteristic
188C23×Dic47C2311yescharacteristic
189C23×Dic47C2311yescharacteristic
190C23×Dic47C2311yescharacteristic
191C23×Dic47C2311yescharacteristic
192C23×Dic47C2311yescharacteristic
193C23×Dic47C2311yescharacteristic
194C23×Dic47C2311yescharacteristic
195#13094005—24no—
196#13094005—24no—
197#13094001—24no—
198#13093989—24no—
199D4×Dic47—24no—
200D4×Dic47—24no—
201D4×Dic47—24no—
202D4×Dic47—24no—
203#13093980—24no—
204C2×C4⋊Dic47C2311yescharacteristic
205C2×C4⋊Dic47C2311yescharacteristic
206C2×C4⋊Dic47C2311yescharacteristic
207C2×C4⋊Dic47C2311yescharacteristic
208C2×C4⋊Dic47C2311yescharacteristic
209C2×C4⋊Dic47C2311yescharacteristic
210C2×Dic47⋊C4C2311yescharacteristic
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×C22⋊Dic47C2311yescharacteristic
229C2×C22⋊Dic47C2311yescharacteristic
230C2×C22⋊Dic47C2311yescharacteristic
231C2×C22⋊Dic47C2311yescharacteristic
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×C4×Dic47—24no—
246C2×C4×Dic47—24no—
247C2×C4×Dic47—24no—
248C2×C4×Dic47—24no—
249C2×C4×Dic47C2311yescharacteristic
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
320C22×D4×C47C2311yescharacteristic
321C22×D4×C47C2311yescharacteristic
322C22×D4×C47C2311yescharacteristic
323C23×C4×C47C2311yescharacteristic
324C23×C4×C47C2311yescharacteristic
325C23×C4×C47C2311yescharacteristic
326C23×C4×C47C2311yescharacteristic
327#121×C47—24no—
328C4×D4×C47—24no—
329C2×C4⋊C4×C47C2311yescharacteristic
330C2×C4⋊C4×C47C2311yescharacteristic
331C2×C4⋊C4×C47C2311yescharacteristic
332C2×C4⋊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×C42×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
358C24×C47C2411yescharacteristic
359C24×C47C2411yescharacteristic
360C2×D4×C47—22no—
361C2×D4×C47—22no—
362C2×D4×C47—22no—
363C2×D4×C47—22no—
364C2×D4×C47—22no—
365C2×D4×C47—22no—
366C2×D4×C47—22no—
367C2×D4×C47—41no—
368C2×D4×C47#4114yes—
369C22×C4×C47—22no—
370C22×C4×C47—22no—
371C22×C4×C47—22no—
372C22×C4×C47—22no—
373C22×C4×C47—22no—
374C22×C4×C47—22no—
375C22×C4×C47—22no—
376C22×C4×C47—41no—
377C22×C4×C47—41no—
378C22×C4×C47—41no—
379C22×C4×C47—41no—
380C22×C4×C47—41no—
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×C4×C47C2411yescharacteristic
391C22×C4×C47C2411yescharacteristic
392C22×C4×C47C2411yescharacteristic
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—22no—
405C22×Dic47—22no—
406C22×Dic47—22no—
407C22×Dic47—22no—
408C22×Dic47—22no—
409C22×Dic47—22no—
410C22×Dic47—41no—
411C22×Dic47—41no—
412C22×Dic47—41no—
413C22×Dic47#4114yes—
414C22×Dic47C2411yescharacteristic
415C22×Dic47C2411yescharacteristic
416C22×Dic47C2411yescharacteristic
417C22×Dic47C2411yescharacteristic
418C22×Dic47C2411yescharacteristic
419C22×Dic47C2411yescharacteristic
420C22×Dic47C2411yescharacteristic
421C22×Dic47C2411yescharacteristic
422C22×Dic47C2411yescharacteristic
423C22×Dic47C2411yescharacteristic
424C22×Dic47C2411yescharacteristic
425C22×Dic47C2411yescharacteristic
426C22×Dic47C2411yescharacteristic
427C22×Dic47C2411yescharacteristic
428C22×Dic47C2411yescharacteristic
429C22×Dic47C2411yescharacteristic
430C2×Dic94—22no—
431C2×Dic94—22no—
432C2×Dic94—41no—
433C4⋊C4×C47—22no—
434C4⋊C4×C47—22no—
435C4⋊C4×C47—22no—
436C4⋊C4×C47—41no—
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—41no—
448C42×C47—22no—
449C22⋊Dic47—22no—
450C22⋊Dic47—22no—
451C22⋊Dic47—22no—
452C22⋊Dic47—22no—
453C22⋊Dic47—22no—
454C22⋊Dic47—22no—
455C22⋊Dic47—22no—
456C22⋊Dic47—22no—
457C22⋊Dic47—22no—
458C22⋊Dic47—22no—
459C22⋊Dic47—22no—
460C22⋊Dic47—22no—
461C22⋊Dic47—22no—
462C22⋊Dic47—41no—
463C22⋊Dic47—41no—
464C22⋊Dic47—41no—
465C22⋊Dic47#4114yes—
466C4⋊Dic47—22no—
467C4⋊Dic47—22no—
468C4⋊Dic47—22no—
469C4⋊Dic47—22no—
470C4⋊Dic47—22no—
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—41no—
483Dic47⋊C4—41no—
484Dic47⋊C4—41no—
485Dic47⋊C4—41no—
486Dic47⋊C4—41no—
487Dic47⋊C4—41no—
488Dic47⋊C4—41no—
489Dic47⋊C4—41no—
490C4×Dic47—22no—
491C4×Dic47—22no—
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—41no—
510C4×Dic47—41no—
511C4×Dic47#4114yes—
512C4×Dic47#4114yes—
513C23×C47—21no—
514C23×C47—21no—
515C23×C47—21no—
516C23×C47—21no—
517C23×C47—21no—
518C23×C47—21no—
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×C47C2×#4112yes—
531C23×C47C2×#4112yes—
532C23×C47C2×#4112yes—
533C23×C47C2×#4112yes—
534C23×C47C2511yescharacteristic
535D4×C47—28no—
536D4×C47—44no—
537D4×C47—44no—
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—44no—
572C2×C4×C47—44no—
573C2×C4×C47—44no—
574C2×C4×C47—44no—
575C2×C4×C47C2×#4112yes—
576C2×C4×C47C2×#4112yes—
577C2×C4×C47C2×#4112yes—
578C2×Dic47—21no—
579C2×Dic47—21no—
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—28no—
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—44no—
620C2×Dic47—44no—
621C2×Dic47—44no—
622C2×Dic47—44no—
623C2×Dic47—44no—
624C2×Dic47—44no—
625C2×Dic47C2×#4112yes—
626C2×Dic47C2×#4112yes—
627C2×Dic47C2×#4112yes—
628C2×Dic47C2×#4112yes—
629C2×Dic47C2×#4112yes—
630C2×Dic47C2×#4112yes—
631C2×Dic47C2×#4112yes—
632C2×Dic47C2×#4112yes—
633Dic94—44no—
634#34811—471nomaximal, Sylow
635C22×C47—22no—
636C22×C47—22no—
637C22×C47—22no—
638C22×C47—22no—
639C22×C47—22no—
640C22×C47—22no—
641C22×C47—22no—
642C22×C47—22no—
643C22×C47—22no—
644C22×C47—41no—
645C22×C47—41no—
646C22×C47—41no—
647C22×C47—41no—
648C22×C47—41no—
649C22×C47—41no—
650C22×C47—41no—
651C22×C47—41no—
652C22×C47—41no—
653C22×C47—41no—
654C22×C47—41no—
655C22×C47#52914yes—
656C22×C47C22×#4111yescharacteristic
657C22×C47C22×#4111yescharacteristic
658C22×C47C22×#4111yescharacteristic
659C22×C47C22×#4111yescharacteristic
660C22×C47C22×#4111yescharacteristic
661C22×C47#58511yescharacteristic
662C22×C47#58511yescharacteristic
663C4×C47—22no—
664C4×C47—22no—
665C4×C47—22no—
666C4×C47—41no—
667C4×C47—41no—
668C4×C47—41no—
669C4×C47—41no—
670C4×C47—41no—
671C4×C47—41no—
672C4×C47—41no—
673C4×C47—41no—
674C4×C47—41no—
675Dic47—22no—
676Dic47—22no—
677Dic47—22no—
678Dic47—22no—
679Dic47—22no—
680Dic47—41no—
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#2528—471no—
697#2527—471no—
698#2526—471no—
699#2510—471no—
700#2505—471no—
701#2493—471no—
702#2488—471no—
703#2450—471no—
704#2444D4711yescharacteristic
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×C47—24no—
723C2×C47—42no—
724C2×C47—81no—
725C2×C47C2×#52911yescharacteristic
726C2×C47C2×#52911yescharacteristic
727C2×C47#345511yescharacteristic
728C2×C47#347511yescharacteristic
729C2×C47#347511yescharacteristic
730C2×C47#347511yescharacteristic
731C2×C47#347511yescharacteristic
732C2×#123—471no—
733C2×#123—471no—
734C2×C22⋊Q8—471no—
735C2×#121C2×D4711yescharacteristic
736C2×C4×Q8—471no—
737C2×C4×D4—471no—
738C2×C4×D4—471no—
739C2×C4×D4—471no—
740C2×C4×D4—471no—
741C2×C4×D4C2×D4711yescharacteristic
742C2×#117—471no—
743C22×C42—471no—
744C22×C42—471no—
745C22×C42—471no—
746C22×C42—471no—
747#401—471no—
748#401—471no—
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#400—471no—
760#400C2×D4711yescharacteristic
761#398—471no—
762#398—471no—
763#398—471no—
764#398—471no—
765#397—471no—
766#397—471no—
767#397—471no—
768#397—471no—
769#397—471no—
770#397—471no—
771#397C2×D4711yescharacteristic
772#397C2×D4711yescharacteristic
773#396—471no—
774#396—471no—
775#394—471no—
776#394C2×D4711yescharacteristic
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#389—471no—
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#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#387—471no—
814#387—471no—
815#387—471no—
816#387—471no—
817#387—471no—
818#387C2×D4711yescharacteristic
819#386—471no—
820#386—471no—
821#386—471no—
822#386—471no—
823#386C2×D4711yescharacteristic
824#386C2×D4711yescharacteristic
825#386C2×D4711yescharacteristic
826#386C2×D4711yescharacteristic
827#385—471no—
828#385—471no—
829#385—471no—
830#385—471no—
831#385—471no—
832#385—471no—
833#385—471no—
834#385C2×D4711yescharacteristic
835#383—471no—
836#383—471no—
837#382—471no—
838#382—471no—
839#381—471no—
840#381—471no—
841#381—471no—
842#381C2×D4711yescharacteristic
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⋊C4—471no—
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#376—471no—
882C2×#95—471no—
883C2×#95—471no—
884C2×#95—471no—
885C2×#95C2×D4711yescharacteristic
886C43—471no—
887C47#3481111yescharacteristic, complemented, Sylow
888C22×Q8—471no—
889C22×D4C22×D4711yescharacteristic
890C22×D4C22×D4711yescharacteristic
891C22×D4C22×D4711yescharacteristic
892C23×C4—471no—
893C23×C4—471no—
894C23×C4—471no—
895C23×C4—471no—
896C23×C4—471no—
897C23×C4—471no—
898C23×C4—471no—
899C23×C4C22×D4711yescharacteristic
900C23×C4C22×D4711yescharacteristic
901C23×C4C22×D4711yescharacteristic
902C23×C4C22×D4711yescharacteristic
903#123—944no—
904#123—944no—
905C22⋊Q8—944no—
906#121—24no—
907C4×Q8—944no—
908C4×D4—24no—
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⋊C4—471no—
933C2×C4⋊C4—471no—
934C2×C4⋊C4—471no—
935C2×C4⋊C4—471no—
936C2×C4⋊C4—471no—
937C2×C4⋊C4—471no—
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⋊C4C22×D4711yescharacteristic
960C2×C22⋊C4C22×D4711yescharacteristic
961C2×C22⋊C4C22×D4711yescharacteristic
962C2×C22⋊C4C22×D4711yescharacteristic
963C2×C22⋊C4C22×D4711yescharacteristic
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×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—471no—
990C2×C42—471no—
991C2×C42—471no—
992C2×C42—471no—
993C2×C42—944no—
994C2×C42—944no—
995C2×C42—944no—
996C2×C42—944no—
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#95—471no—
1039#95—471no—
1040#95—471no—
1041#95—471no—
1042#95—471no—
1043#95—471no—
1044#95—471no—
1045#95—471no—
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
1058C24C23×D4711yescharacteristic
1059C24C23×D4711yescharacteristic
1060C24C23×D4711yescharacteristic
1061C2×Q8—942no—
1062C2×Q8—942no—
1063C2×Q8—1881no—
1064C2×D4—22no—
1065C2×D4—22no—
1066C2×D4—22no—
1067C2×D4—22no—
1068C2×D4—22no—
1069C2×D4—22no—
1070C2×D4—22no—
1071C2×D4—41no—
1072C2×D4#1062535214yes—
1073C22×C4—22no—
1074C22×C4—22no—
1075C22×C4—22no—
1076C22×C4—22no—
1077C22×C4—22no—
1078C22×C4—22no—
1079C22×C4—22no—
1080C22×C4—41no—
1081C22×C4—41no—
1082C22×C4—41no—
1083C22×C4—41no—
1084C22×C4—41no—
1085C22×C4—471no—
1086C22×C4—474no—
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—471no—
1099C22×C4—471no—
1100C22×C4—471no—
1101C22×C4—471no—
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—942no—
1117C22×C4—942no—
1118C22×C4—942no—
1119C22×C4—1881no—
1120C22×C4—1881no—
1121C22×C4—1881no—
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—41no—
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—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—22no—
1163C22⋊C4—22no—
1164C22⋊C4—22no—
1165C22⋊C4—22no—
1166C22⋊C4—22no—
1167C22⋊C4—22no—
1168C22⋊C4—41no—
1169C22⋊C4—41no—
1170C22⋊C4—41no—
1171C22⋊C4—41no—
1172C22⋊C4—41no—
1173C22⋊C4—474no—
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—
1190C42—22no—
1191C42—474no—
1192C42—474no—
1193C42—942no—
1194C42—942no—
1195C42—942no—
1196C42—942no—
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—21no—
1215C23—21no—
1216C23—21no—
1217C23—21no—
1218C23—21no—
1219C23—21no—
1220C23—21no—
1221C23—21no—
1222C23—21no—
1223C23—21no—
1224C23—21no—
1225C23—21no—
1226C23—21no—
1227C23—21no—
1228C23—21no—
1229C23—21no—
1230C23—21no—
1231C23#41×D4712yes—
1232C23#41×D4712yes—
1233C23C2×#1062535212yes—
1234C23C2×#1062535212yes—
1235C23C24×D4711yescharacteristic
1236Q8—1884no—
1237D4—28no—
1238D4—44no—
1239D4—44no—
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—44no—
1274C2×C4—44no—
1275C2×C4—44no—
1276C2×C4—44no—
1277C2×C4—472no—
1278C2×C4—472no—
1279C2×C4—472no—
1280C2×C4—472no—
1281C2×C4—472no—
1282C2×C4—472no—
1283C2×C4—472no—
1284C2×C4—472no—
1285C2×C4—948no—
1286C2×C4—941no—
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—941no—
1321C2×C4—941no—
1322C2×C4—941no—
1323C2×C4—941no—
1324C2×C4—941no—
1325C2×C4—941no—
1326C2×C4—1884no—
1327C2×C4—1884no—
1328C2×C4—1884no—
1329C2×C4—1884no—
1330C2×C4—1884no—
1331C2×C4—1884no—
1332C2×C4#41×D4712yes—
1333C2×C4#41×D4712yes—
1334C2×C4C2×#1062535212yes—
1335C22—22no—
1336C22—22no—
1337C22—22no—
1338C22—22no—
1339C22—22no—
1340C22—22no—
1341C22—22no—
1342C22—22no—
1343C22—22no—
1344C22—41no—
1345C22—41no—
1346C22—41no—
1347C22—41no—
1348C22—41no—
1349C22—41no—
1350C22—41no—
1351C22—41no—
1352C22—41no—
1353C22—41no—
1354C22—41no—
1355C22#1568965014yes—
1356C22C2×#41×D4711yescharacteristic
1357C22C2×#41×D4711yescharacteristic
1358C22C2×#41×D4711yescharacteristic
1359C22C2×#41×D4711yescharacteristic
1360C22C22×#1062535211yescharacteristic
1361C22#1568995811yescharacteristic
1362C22#1568995811yescharacteristic
1363C4—22no—
1364C4—22no—
1365C4—22no—
1366C4—41no—
1367C4—41no—
1368C4—41no—
1369C4—41no—
1370C4—41no—
1371C4—41no—
1372C4—41no—
1373C4—41no—
1374C4—41no—
1375C4—474no—
1376C4—942no—
1377C4—942no—
1378C4—942no—
1379C4—942no—
1380C4—942no—
1381C4—1881no—
1382C4—1881no—
1383C4—1881no—
1384C4—1881no—
1385C4—1881no—
1386C4—1881no—
1387C4—1881no—
1388C4—1881no—
1389C4—1881no—
1390C4—1881no—
1391C2—24no—
1392C2—42no—
1393C2—81no—
1394C2#529×D4711yescharacteristic
1395C2C2×#1568965011yescharacteristic
1396C2#2025677011yescharacteristic
1397C2#2025693911yescharacteristic
1398C2#2025693911yescharacteristic
1399C2#2025694711yescharacteristic
1400C2#2025694711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2444C2
prime radicalC2×#121×C47C22
hypercenter#2444D47
hypocenterC47#34811
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2444

Complements

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

NH ≅ G/Ntype
1. #20248260C2semidirect
2. #20248253C2semidirect
3. #20248228C2semidirect
4. #20248221C2semidirect
5. #20248203C2semidirect
6. #20248196C2semidirect
7. #20248171C2semidirect
8. #20248164C2semidirect
9. #20247946C2semidirect
10. #20247889C2semidirect
11. #20247771C2semidirect
12. #20247716C2semidirect
13. #20247218C2semidirect
15. #20246859C2semidirect
16. #20246694C2semidirect
17. #20246685C2semidirect
18. #20246685C2semidirect
19. #20246676C2semidirect
20. #20245920C2semidirect
21. #20245913C2semidirect
22. #20245913C2semidirect
24. #20245882C2semidirect
25. #20245861C2semidirect
26. #20245828C2semidirect
27. #20245828C2semidirect
28. #20245779C2semidirect
29. C4×D4×Dic47C2semidirect
30. C2×#15688968C2semidirect
887. C47#34811semidirect

Maximal subgroups

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

subgroupindex
#202482602
#202482532
#202482282
#202482212
#202482032
#202481962
#202481712
#202481642
#202479462
#202478892
#202477712
#202477162
#202472182
#202469452
#202468592
#202466942
#202466852
#202466762
#202459202
#202459132
#121×Dic472
#202458822
#202458612
#202458282
#202457792
C4×D4×Dic472
C2×#156889682
C47×#24442
#3481147