Finite Group Databasebeta

← #26422029

Subgroups — #26422029

Order 12032.

1860 conjugacy classes of subgroups.

The subgroup lattice has 1414 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20251738C211yesmaximal, characteristic, complemented
2#20251685C211yesmaximal, characteristic
3#20251685C211yesmaximal, characteristic
4#20248899C211yesmaximal, characteristic, complemented
5#20248891C211yesmaximal, characteristic, complemented
6#20248738C211yesmaximal, characteristic, complemented
7#20248732C211yesmaximal, characteristic, complemented
8#20248642C211yesmaximal, characteristic, complemented
9#20248640C211yesmaximal, characteristic, complemented
10#20248615C211yesmaximal, characteristic, complemented
11#20248363C211yesmaximal, characteristic, complemented
12#20248140C211yesmaximal, characteristic, complemented
13#20248138C211yesmaximal, characteristic, complemented
14#20247991C211yesmaximal, characteristic, complemented
15#20247973C211yesmaximal, characteristic, complemented
16#20247952C211yesmaximal, characteristic, complemented
17#20247944C211yesmaximal, characteristic, complemented
18#20247643C211yesmaximal, characteristic, complemented
19#20247170C211yesmaximal, characteristic, complemented
20#20247163C211yesmaximal, characteristic, complemented
21#20246514C211yesmaximal, characteristic, complemented
22#20246512C211yesmaximal, characteristic, complemented
23#20246462C211yesmaximal, characteristic, complemented
24#20246350C211yesmaximal, characteristic, complemented
25#20246326C211yesmaximal, characteristic, complemented
26#20246322C211yesmaximal, characteristic, complemented
27#20245920C211yesmaximal, characteristic, complemented
28C4×#13094001C211yesmaximal, characteristic, complemented
29#20245898C211yesmaximal, characteristic
30C2×C4⋊C4×Dic47C211yesmaximal, characteristic, complemented
31C47×#2481C211yesmaximal, characteristic, complemented
32C2×#13094023C2211yescharacteristic
33C2×#13094019C2211yescharacteristic
34C2×#13094010C2211yescharacteristic
35C2×#13094010C2211yescharacteristic
36C2×#13094001C2211yescharacteristic
37C2×#13094001C2211yescharacteristic
38C2×#13093996C2211yescharacteristic
39C2×C4×Dic94C2211yescharacteristic
40C2×#13093989C2211yescharacteristic
41C2×D4×Dic47C2211yescharacteristic
42C2×(C22⋊D47)⋊C4C2211yescharacteristic
43C2×(C22⋊D47)⋊C4C2211yescharacteristic
44C22×C4⋊Dic47C2211yescharacteristic
45C22×C4×Dic47C2211yescharacteristic
46C22×C4×Dic47C2211yescharacteristic
47C22×C4×Dic47C2211yescharacteristic
48C47⋊#401C2211yescharacteristic
49C47⋊#401C2211yescharacteristic
50#15689065C2211yescharacteristic
51#15689062C2211yescharacteristic
52#15689062C2211yescharacteristic
53#15689061C2211yescharacteristic
54#15689057C2211yescharacteristic
55#15689057C2211yescharacteristic
56#15689055C2211yescharacteristic
57#15689055C2211yescharacteristic
58#15689051C2211yescharacteristic
59#15689050C2211yescharacteristic
60#15689049C2211yescharacteristic
61#15689049C2211yescharacteristic
62#15689048C2211yescharacteristic
63#15689046C2211yescharacteristic
64#15689046C2211yescharacteristic
65#15689045C2211yescharacteristic
66#15689045C2211yescharacteristic
67#15689045C2211yescharacteristic
68#15689027C2211yescharacteristic
69#15689027C2211yescharacteristic
70#15689027C2211yescharacteristic
71#15689027C2211yescharacteristic
72#15689027C2211yescharacteristic
73#15689027C2211yescharacteristic
74#15689023C2211yescharacteristic
75#15689023C2211yescharacteristic
76#15689023C2211yescharacteristic
77#15689022C2211yescharacteristic
78#15689020C2211yescharacteristic
79#15689020C2211yescharacteristic
80#15689020C2211yescharacteristic
81#15689020C2211yescharacteristic
82#15689019C2211yescharacteristic
83#15689018C2211yescharacteristic
84#15689017C2211yescharacteristic
85#15689017C2211yescharacteristic
86#15689016C2211yescharacteristic
87#15689016C2211yescharacteristic
88#15689016C2211yescharacteristic
89#15689015C2211yescharacteristic
90#15689015C2211yescharacteristic
91#15689015C2211yescharacteristic
92#15689015C2211yescharacteristic
93#15689014C2211yescharacteristic
94#15689013C2211yescharacteristic
95#15689013C2211yescharacteristic
96#15689012C2211yescharacteristic
97#15689012C2211yescharacteristic
98#15689012C2211yescharacteristic
99#15689011C2211yescharacteristic
100#15689011C2211yescharacteristic
101#15689011C2211yescharacteristic
102#15689011C2211yescharacteristic
103#15689010C2211yescharacteristic
104#15689010C2211yescharacteristic
105#15689010C2211yescharacteristic
106#15689009C2211yescharacteristic
107#15689009C2211yescharacteristic
108#15689009C2211yescharacteristic
109#15689009C2211yescharacteristic
110#15689008C2211yescharacteristic
111#15689008C2211yescharacteristic
112#15689008C2211yescharacteristic
113#15689007C2211yescharacteristic
114#15689006C2211yescharacteristic
115#15689006C2211yescharacteristic
116#15689005C2211yescharacteristic
117#15689004C2211yescharacteristic
118#15689004C2211yescharacteristic
119#15689003C2211yescharacteristic
120#15689003C2211yescharacteristic
121#15689002C2211yescharacteristic
122#15689002C2211yescharacteristic
123#15689002C2211yescharacteristic
124#15689000C2211yescharacteristic
125#15689000C2211yescharacteristic
126#15688998C2211yescharacteristic
127#15688998C2211yescharacteristic
128#15688998C2211yescharacteristic
129#15688997C2211yescharacteristic
130#15688997C2211yescharacteristic
131#15688996C2211yescharacteristic
132#15688995C2211yescharacteristic
133#15688992C2211yescharacteristic
134#15688990C2211yescharacteristic
135#15688990C2211yescharacteristic
136#15688990C2211yescharacteristic
137#15688990C2211yescharacteristic
138#15688987C2211yescharacteristic
139#15688987C2211yescharacteristic
140#15688985C2211yescharacteristic
141#15688984C2211yescharacteristic
142#15688983C2211yescharacteristic
143#15688981C2211yescharacteristic
144#15688981C2211yescharacteristic
145#15688981C2211yescharacteristic
146C4⋊C4×Dic47C2211yescharacteristic
147C4⋊C4×Dic47C2211yescharacteristic
148C4⋊C4×Dic47C2211yescharacteristic
149C4⋊C4×Dic47C2211yescharacteristic
150C4⋊C4×Dic47C2211yescharacteristic
151C4⋊C4×Dic47C2211yescharacteristic
152C4⋊C4×Dic47C2211yescharacteristic
153C4⋊C4×Dic47C2211yescharacteristic
154C4⋊C4×Dic47C2211yescharacteristic
155C4×Dic47⋊C4C2211yescharacteristic
156C4×Dic47⋊C4C2211yescharacteristic
157C4×C4⋊Dic47C2211yescharacteristic
158#15688974C2211yescharacteristic
159#15688974C2211yescharacteristic
160#15688974C2211yescharacteristic
161C22⋊C4×Dic47C2211yescharacteristic
162C22⋊C4×Dic47C2211yescharacteristic
163C22⋊C4×Dic47C2211yescharacteristic
164C22⋊C4×Dic47C2211yescharacteristic
165C4×(C2×D47)⋊C4C2211yescharacteristic
166C4×C22⋊Dic47C2211yescharacteristic
167#15688970C2211yescharacteristic
168#15688969C2211yescharacteristic
169#15688968C2211yescharacteristic
170C2×C47⋊#95C2211yescharacteristic
171C2×C47⋊#95C2211yescharacteristic
172C2×#126×C47C2211yescharacteristic
173C22×C4⋊C4×C47C2211yescharacteristic
174C47×#400C2211yescharacteristic
175C47×#400C2211yescharacteristic
176C47×#397C2211yescharacteristic
177C47×#396C2211yescharacteristic
178C47×#388C2211yescharacteristic
179C47×#387C2211yescharacteristic
180C47×#387C2211yescharacteristic
181C47×#386C2211yescharacteristic
182C47×#386C2211yescharacteristic
183C47×#386C2211yescharacteristic
184C47×#385C2211yescharacteristic
185C47×#380C2211yescharacteristic
186C4×C22⋊C4×C47C2211yescharacteristic
187C22×Dic94C2311yescharacteristic
188C22×Dic94C2311yescharacteristic
189C22×C22⋊D47C2311yescharacteristic
190C22×C22⋊D47C2311yescharacteristic
191C23×Dic47C2311yescharacteristic
192C23×Dic47C2311yescharacteristic
193C23×Dic47C2311yescharacteristic
194C23×Dic47C2311yescharacteristic
195C23×Dic47C2311yescharacteristic
196C22×C4×D47C2311yescharacteristic
197#13094023—42no—
198#13094019—24no—
199#13094010—24no—
200#13094010—42no—
201#13094001—24no—
202#13094001—24no—
203#13093996—24no—
204C4×Dic94—42no—
205#13093989—24no—
206D4×Dic47—24no—
207(C22⋊D47)⋊C4—24no—
208(C22⋊D47)⋊C4—42no—
209C2×C4⋊Dic47—24no—
210C2×C4⋊Dic47C2311yescharacteristic
211C2×C4⋊Dic47C2311yescharacteristic
212C2×C4⋊Dic47C2311yescharacteristic
213C2×C4⋊Dic47C2311yescharacteristic
214C2×C4⋊Dic47C2311yescharacteristic
215C2×C4⋊Dic47C2311yescharacteristic
216C2×C4⋊Dic47C2311yescharacteristic
217C2×C4⋊Dic47C2311yescharacteristic
218C2×C4⋊Dic47C2311yescharacteristic
219C2×C4⋊Dic47C2311yescharacteristic
220C2×C4⋊Dic47C2311yescharacteristic
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×Dic47⋊C4C2311yescharacteristic
233C2×Dic47⋊C4C2311yescharacteristic
234C2×Dic47⋊C4C2311yescharacteristic
235C2×Dic47⋊C4C2311yescharacteristic
236C2×Dic47⋊C4C2311yescharacteristic
237C2×C22⋊Dic47C2311yescharacteristic
238C2×C22⋊Dic47C2311yescharacteristic
239C2×C22⋊Dic47C2311yescharacteristic
240C2×C22⋊Dic47C2311yescharacteristic
241C2×C22⋊Dic47C2311yescharacteristic
242C2×C22⋊Dic47C2311yescharacteristic
243C2×C22⋊Dic47C2311yescharacteristic
244C2×C22⋊Dic47C2311yescharacteristic
245C2×C22⋊Dic47C2311yescharacteristic
246C2×(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×C4×Dic47—24no—
259C2×C4×Dic47—42no—
260C2×C4×Dic47—42no—
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
278C2×C4×Dic47C2311yescharacteristic
279C2×C4×Dic47C2311yescharacteristic
280C2×C4×Dic47C2311yescharacteristic
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
320C47⋊#95C2311yescharacteristic
321C47⋊#95C2311yescharacteristic
322C47⋊#95C2311yescharacteristic
323C22×D4×C47C2311yescharacteristic
324C23×C4×C47C2311yescharacteristic
325C23×C4×C47C2311yescharacteristic
326C23×C4×C47C2311yescharacteristic
327#126×C47—24no—
328C2×C4⋊C4×C47—24no—
329C2×C4⋊C4×C47C2311yescharacteristic
330C2×C4⋊C4×C47C2311yescharacteristic
331C2×C4⋊C4×C47C2311yescharacteristic
332C2×C4⋊C4×C47C2311yescharacteristic
333C2×C4⋊C4×C47C2311yescharacteristic
334C2×C4⋊C4×C47C2311yescharacteristic
335C2×C4⋊C4×C47C2311yescharacteristic
336C2×C4⋊C4×C47C2311yescharacteristic
337C2×C22⋊C4×C47C2311yescharacteristic
338C2×C22⋊C4×C47C2311yescharacteristic
339C2×C22⋊C4×C47C2311yescharacteristic
340C2×C22⋊C4×C47C2311yescharacteristic
341C2×C22⋊C4×C47C2311yescharacteristic
342C2×C22⋊C4×C47C2311yescharacteristic
343C2×C22⋊C4×C47C2311yescharacteristic
344C2×C22⋊C4×C47C2311yescharacteristic
345C2×C22⋊C4×C47C2311yescharacteristic
346C2×C42×C47C2311yescharacteristic
347C2×C42×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
357#95×C47C2311yescharacteristic
358#95×C47C2311yescharacteristic
359#95×C47C2311yescharacteristic
360C24×C47C2411yescharacteristic
361C24×C47C2411yescharacteristic
362C23×D47C2411yescharacteristic
363C2×D4×C47—22no—
364C2×D4×C47—22no—
365C2×D4×C47—22no—
366C22×C4×C47—22no—
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—41no—
374C22×C4×C47—41no—
375C22×C4×C47C2411yescharacteristic
376C22×C4×C47C2411yescharacteristic
377C22×C4×C47C2411yescharacteristic
378C22×C4×C47C2411yescharacteristic
379C22×C4×C47C2411yescharacteristic
380C22×C4×C47C2411yescharacteristic
381C22×C4×C47C2411yescharacteristic
382C22×C4×C47C2411yescharacteristic
383C22×C4×C47C2411yescharacteristic
384C22×C4×C47C2411yescharacteristic
385C22×C4×C47C2411yescharacteristic
386C22×C4×C47C2411yescharacteristic
387C22×C4×C47C2411yescharacteristic
388C2×C22⋊D47—22no—
389C2×C22⋊D47—22no—
390C2×C22⋊D47—22no—
391C2×C22⋊D47—22no—
392C2×C22⋊D47—22no—
393C2×C22⋊D47—22no—
394C22×Dic47—22no—
395C22×Dic47—22no—
396C22×Dic47—22no—
397C22×Dic47—22no—
398C22×Dic47—22no—
399C22×Dic47—22no—
400C22×Dic47—41no—
401C22×Dic47—41no—
402C22×Dic47—41no—
403C22×Dic47—41no—
404C22×Dic47—41no—
405C22×Dic47—41no—
406C22×Dic47—41no—
407C22×Dic47#4114yes—
408C22×Dic47#4114yes—
409C22×Dic47C2411yescharacteristic
410C22×Dic47C2411yescharacteristic
411C22×Dic47C2411yescharacteristic
412C22×Dic47C2411yescharacteristic
413C22×Dic47C2411yescharacteristic
414C22×Dic47C2411yescharacteristic
415C22×Dic47C2411yescharacteristic
416C22×Dic47C2411yescharacteristic
417C22×Dic47C2411yescharacteristic
418C22×Dic47C2411yescharacteristic
419C22×Dic47C2411yescharacteristic
420C22×Dic47C2411yescharacteristic
421C22×Dic47C2411yescharacteristic
422C22×Dic47C2411yescharacteristic
423C22×Dic47C2411yescharacteristic
424C2×C4×D47—22no—
425C2×C4×D47—41no—
426C2×C4×D47—41no—
427C2×Dic94—22no—
428C2×Dic94—22no—
429C2×Dic94—22no—
430C2×Dic94—22no—
431C2×Dic94—22no—
432C2×Dic94—22no—
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—41no—
440C4⋊C4×C47#4114yes—
441C22⋊C4×C47—22no—
442C22⋊C4×C47—22no—
443C22⋊C4×C47—22no—
444C22⋊C4×C47—22no—
445C22⋊C4×C47—22no—
446C22⋊C4×C47—22no—
447C22⋊C4×C47—22no—
448C22⋊C4×C47—41no—
449C22⋊C4×C47—41no—
450C42×C47—22no—
451C42×C47—41no—
452C22⋊Dic47—22no—
453C22⋊Dic47—22no—
454C22⋊Dic47—22no—
455C22⋊Dic47—22no—
456C22⋊Dic47—22no—
457C22⋊Dic47—22no—
458C22⋊Dic47—41no—
459C22⋊Dic47—41no—
460C22⋊Dic47—41no—
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—22no—
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—
473C4⋊Dic47—22no—
474C4⋊Dic47—22no—
475C4⋊Dic47—22no—
476C4⋊Dic47—22no—
477C4⋊Dic47—22no—
478C4⋊Dic47—22no—
479C4⋊Dic47—22no—
480C4⋊Dic47—22no—
481C4⋊Dic47—41no—
482C4⋊Dic47—41no—
483C4⋊Dic47—41no—
484Dic47⋊C4—22no—
485Dic47⋊C4—22no—
486Dic47⋊C4—22no—
487Dic47⋊C4—22no—
488Dic47⋊C4—22no—
489Dic47⋊C4—22no—
490Dic47⋊C4—22no—
491Dic47⋊C4—22no—
492Dic47⋊C4—22no—
493Dic47⋊C4—22no—
494Dic47⋊C4—41no—
495Dic47⋊C4—41no—
496Dic47⋊C4—41no—
497Dic47⋊C4—41no—
498Dic47⋊C4—41no—
499Dic47⋊C4—41no—
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—22no—
512C4×Dic47—41no—
513C4×Dic47—41no—
514C4×Dic47—41no—
515C4×Dic47—41no—
516C4×Dic47—41no—
517C4×Dic47—41no—
518C4×Dic47—41no—
519C4×Dic47#4114yes—
520C23×C47—21no—
521C23×C47—21no—
522C23×C47—21no—
523C23×C47—21no—
524C23×C47—21no—
525C23×C47—21no—
526C23×C47—21no—
527C23×C47—21no—
528C23×C47—21no—
529C23×C47—21no—
530C23×C47—21no—
531C23×C47C2×#4112yes—
532C23×C47C2×#4112yes—
533C23×C472−1+412yes—
534C23×C47C2511yescharacteristic
535C22×D47—21no—
536C22×D47—21no—
537C22×D47—21no—
538C22×D47—21no—
539C22×D47—21no—
540C22×D47—21no—
541C22×D47—21no—
542D4×C47—44no—
543C2×C4×C47—28no—
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—44no—
580C2×C4×C47—44no—
581C2×C4×C47C2×#4112yes—
582C2×C4×C47C2×#4112yes—
583C2×C4×C47C2×#4112yes—
584C2×C4×C47C2×#4112yes—
585C22⋊D47—44no—
586C22⋊D47—44no—
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—28no—
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—21no—
623C2×Dic47—21no—
624C2×Dic47—21no—
625C2×Dic47—21no—
626C2×Dic47—44no—
627C2×Dic47—44no—
628C2×Dic47—44no—
629C2×Dic47—82no—
630C2×Dic47C2×#4112yes—
631C2×Dic47C2×#4112yes—
632C2×Dic47C2×#4112yes—
633C2×Dic47C2×#4112yes—
634C2×Dic47C2×#4112yes—
635C2×Dic47C2×#4112yes—
636C2×Dic47H(5,𝔽2)12yes—
637C4×D47—82no—
638Dic94—44no—
639Dic94—44no—
640#36605—471nomaximal, Sylow
641C22×C47—22no—
642C22×C47—22no—
643C22×C47—22no—
644C22×C47—22no—
645C22×C47—22no—
646C22×C47—22no—
647C22×C47—41no—
648C22×C47—41no—
649C22×C47—41no—
650C22×C47—41no—
651C22×C47—41no—
652C22×C47—41no—
653C22×C47—41no—
654C22×C47#55614yes—
655C22×C47C22×#4111yescharacteristic
656C22×C47C22×#4111yescharacteristic
657C22×C47C22×#4111yescharacteristic
658C22×C47C22×#4111yescharacteristic
659C22×C47C2×H(5,𝔽2)11yescharacteristic
660C22×C47C2×2−1+411yescharacteristic
661C22×C47#58511yescharacteristic
662C2×D47—41no—
663C2×D47—41no—
664C2×D47—41no—
665C2×D47—41no—
666C2×D47—41no—
667C2×D47—41no—
668C2×D47—41no—
669C4×C47—22no—
670C4×C47—22no—
671C4×C47—22no—
672C4×C47—22no—
673C4×C47—41no—
674C4×C47—41no—
675C4×C47—41no—
676C4×C47—41no—
677C4×C47—41no—
678C4×C47—41no—
679C4×C47—41no—
680C4×C47—41no—
681C4×C47—41no—
682Dic47—22no—
683Dic47—22no—
684Dic47—22no—
685Dic47—22no—
686Dic47—41no—
687Dic47—41no—
688Dic47—41no—
689Dic47—41no—
690Dic47—41no—
691Dic47—41no—
692Dic47—41no—
693Dic47—41no—
694Dic47—41no—
695Dic47—41no—
696Dic47#55314yes—
697#2857—471no—
698#2850—471no—
699#2850—471no—
700#2594—471no—
701#2594—471no—
702#2579—471no—
703#2579—471no—
704#2573—471no—
705#2573—471no—
706#2570—471no—
707#2545—471no—
708#2525—471no—
709#2525—471no—
710#2514—471no—
711#2512—471no—
712#2510—471no—
713#2510—471no—
714#2481—471no—
715#2481D4711yescharacteristic, complemented
716#2447—471no—
717#2446—471no—
718#2373—471no—
719#2373—471no—
720#2367—471no—
721#2356—471no—
722#2353—471no—
723#2353—471no—
724C4×C22⋊Q8—471no—
725C4×C22⋊Q8—471no—
726C4×#121—471no—
727C2×C4×C4⋊C4—471no—
728C2×C47—24no—
729C2×C47—81no—
730C2×C47#344411yescharacteristic
731C2×C47C2×#55311yescharacteristic
732C2×C47C2×#55611yescharacteristic
733C2×C47#348011yescharacteristic
734C2×C47#349511yescharacteristic
735C2×C47#350511yescharacteristic
736C2×C47#352011yescharacteristic
737D47—81no—
738C2×C4⋊Q8—471no—
739C2×#126—471no—
740C2×#126C2×D4711yescharacteristic
741C2×#124—471no—
742C2×#124—471no—
743C2×C22⋊Q8—471no—
744C2×C22⋊Q8—471no—
745C2×#121—471no—
746C2×C4×Q8—471no—
747C2×C4×Q8—471no—
748C2×C4×D4—471no—
749C2×C4×D4—471no—
750C2×C4×D4—471no—
751C22×C4⋊C4—471no—
752C22×C4⋊C4C2×D4711yescharacteristic
753C22×C42—471no—
754C22×C42—471no—
755C22×C42—471no—
756#401—471no—
757#401—471no—
758#400—471no—
759#400—471no—
760#400—471no—
761#400—471no—
762#400C2×D4711yescharacteristic
763#400C2×D4711yescharacteristic
764#398—471no—
765#398—471no—
766#398—471no—
767#398—471no—
768#397—471no—
769#397—471no—
770#397—471no—
771#397—471no—
772#397—471no—
773#397C2×D4711yescharacteristic
774#396—471no—
775#396—471no—
776#396—471no—
777#396—471no—
778#396—471no—
779#396C2×D4711yescharacteristic
780#391—471no—
781#391—471no—
782#391—471no—
783#391—471no—
784#391—471no—
785#391—471no—
786#390—471no—
787#390—471no—
788#390—471no—
789#389—471no—
790#389—471no—
791#389—471no—
792#389—471no—
793#389—471no—
794#389—471no—
795#389—471no—
796#388—471no—
797#388—471no—
798#388—471no—
799#388—471no—
800#388—471no—
801#388—471no—
802#388—471no—
803#388—471no—
804#388—471no—
805#388—471no—
806#388—471no—
807#388—471no—
808#388—471no—
809#388—471no—
810#388—471no—
811#388—471no—
812#388—471no—
813#388—471no—
814#388—471no—
815#388C2×D4711yescharacteristic
816#387—471no—
817#387—471no—
818#387—471no—
819#387—471no—
820#387—471no—
821#387—471no—
822#387—471no—
823#387—471no—
824#387—471no—
825#387—471no—
826#387—471no—
827#387—471no—
828#387—471no—
829#387—471no—
830#387—471no—
831#387—471no—
832#387C2×D4711yescharacteristic
833#387C2×D4711yescharacteristic
834#386—471no—
835#386—471no—
836#386—471no—
837#386—471no—
838#386—471no—
839#386—471no—
840#386—471no—
841#386C2×D4711yescharacteristic
842#386C2×D4711yescharacteristic
843#386C2×D4711yescharacteristic
844#385—471no—
845#385—471no—
846#385—471no—
847#385—471no—
848#385—471no—
849#385—471no—
850#385—471no—
851#385C2×D4711yescharacteristic
852#384—471no—
853#383—471no—
854#383—471no—
855#383—471no—
856#383—471no—
857#382—471no—
858#382—471no—
859#381—471no—
860#381—471no—
861#380—471no—
862#380—471no—
863#380—471no—
864#380—471no—
865#380C2×D4711yescharacteristic
866C4×C4⋊C4—471no—
867C4×C4⋊C4—471no—
868C4×C4⋊C4—471no—
869C4×C4⋊C4—471no—
870C4×C4⋊C4—471no—
871C4×C4⋊C4—471no—
872C4×C4⋊C4—471no—
873C4×C4⋊C4—471no—
874C4×C4⋊C4—471no—
875C4×C4⋊C4—471no—
876C4×C4⋊C4—471no—
877C4×C4⋊C4—471no—
878C4×C4⋊C4—471no—
879C4×C4⋊C4—471no—
880C4×C4⋊C4—471no—
881C4×C22⋊C4—471no—
882C4×C22⋊C4—471no—
883C4×C22⋊C4—471no—
884C4×C22⋊C4—471no—
885C4×C22⋊C4—471no—
886C4×C22⋊C4—471no—
887C4×C22⋊C4—471no—
888C4×C22⋊C4C2×D4711yescharacteristic
889#376—471no—
890#376—471no—
891C2×#95—471no—
892C2×#95—471no—
893C47#3660511yescharacteristic, complemented, Sylow
894C22×Q8—471no—
895C22×Q8—471no—
896C22×D4—471no—
897C22×D4—471no—
898C22×D4C22×D4711yescharacteristic
899C23×C4—471no—
900C23×C4—471no—
901C23×C4—471no—
902C23×C4—471no—
903C23×C4—471no—
904C23×C4—471no—
905C23×C4C22×D4711yescharacteristic
906C23×C4C22×D4711yescharacteristic
907C23×C4C22×D4711yescharacteristic
908C4⋊Q8—1882no—
909#126—24no—
910#126—944no—
911#124—944no—
912#124—1882no—
913C22⋊Q8—944no—
914C22⋊Q8—944no—
915#121—944no—
916C4×Q8—944no—
917C4×Q8—1882no—
918C4×D4—944no—
919C4×D4—944no—
920C4×D4—1882no—
921C2×C4⋊C4—24no—
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⋊C4—471no—
941C2×C4⋊C4—471no—
942C2×C4⋊C4—471no—
943C2×C4⋊C4—471no—
944C2×C4⋊C4—471no—
945C2×C4⋊C4—471no—
946C2×C4⋊C4—471no—
947C2×C4⋊C4—471no—
948C2×C4⋊C4—471no—
949C2×C4⋊C4—944no—
950C2×C4⋊C4C22×D4711yescharacteristic
951C2×C4⋊C4C22×D4711yescharacteristic
952C2×C4⋊C4C22×D4711yescharacteristic
953C2×C4⋊C4C22×D4711yescharacteristic
954C2×C4⋊C4C22×D4711yescharacteristic
955C2×C4⋊C4C22×D4711yescharacteristic
956C2×C4⋊C4C22×D4711yescharacteristic
957C2×C4⋊C4C22×D4711yescharacteristic
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—471no—
975C2×C22⋊C4—471no—
976C2×C22⋊C4—471no—
977C2×C22⋊C4—471no—
978C2×C22⋊C4—471no—
979C2×C22⋊C4C22×D4711yescharacteristic
980C2×C22⋊C4C22×D4711yescharacteristic
981C2×C22⋊C4C22×D4711yescharacteristic
982C2×C22⋊C4C22×D4711yescharacteristic
983C2×C22⋊C4C22×D4711yescharacteristic
984C2×C22⋊C4C22×D4711yescharacteristic
985C2×C22⋊C4C22×D4711yescharacteristic
986C2×C22⋊C4C22×D4711yescharacteristic
987C2×C22⋊C4C22×D4711yescharacteristic
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—471no—
1003C2×C42—471no—
1004C2×C42—471no—
1005C2×C42—471no—
1006C2×C42—471no—
1007C2×C42—471no—
1008C2×C42—944no—
1009C2×C42—1882no—
1010C2×C42—1882no—
1011C2×C42C22×D4711yescharacteristic
1012C2×C42C22×D4711yescharacteristic
1013#95—471no—
1014#95—471no—
1015#95—471no—
1016#95—471no—
1017#95—471no—
1018#95—471no—
1019#95—471no—
1020#95—471no—
1021#95—471no—
1022#95—471no—
1023#95—471no—
1024#95—471no—
1025#95—471no—
1026#95—471no—
1027#95—471no—
1028#95—471no—
1029#95—471no—
1030#95—471no—
1031#95—471no—
1032#95—471no—
1033#95—471no—
1034#95—471no—
1035#95—471no—
1036#95—471no—
1037#95—471no—
1038#95—471no—
1039#95—471no—
1040#95—471no—
1041#95—471no—
1042#95—471no—
1043#95—471no—
1044#95—471no—
1045#95—471no—
1046#95—471no—
1047#95—471no—
1048#95—471no—
1049#95—471no—
1050#95—471no—
1051#95—471no—
1052#95—471no—
1053#95—471no—
1054#95—471no—
1055#95C22×D4711yescharacteristic
1056#95C22×D4711yescharacteristic
1057#95C22×D4711yescharacteristic
1058#95C22×D4711yescharacteristic
1059#95C22×D4711yescharacteristic
1060#95C22×D4711yescharacteristic
1061#95C22×D4711yescharacteristic
1062#95C22×D4711yescharacteristic
1063#95C22×D4711yescharacteristic
1064#95C22×D4711yescharacteristic
1065#95C22×D4711yescharacteristic
1066#95C22×D4711yescharacteristic
1067C24—471no—
1068C24C23×D4711yescharacteristic
1069C24C23×D4711yescharacteristic
1070C2×Q8—942no—
1071C2×Q8—942no—
1072C2×Q8—942no—
1073C2×Q8—942no—
1074C2×Q8—942no—
1075C2×Q8—942no—
1076C2×D4—22no—
1077C2×D4—22no—
1078C2×D4—22no—
1079C2×D4—942no—
1080C2×D4—942no—
1081C2×D4—942no—
1082C2×D4—942no—
1083C2×D4—942no—
1084C2×D4—942no—
1085C22×C4—22no—
1086C22×C4—22no—
1087C22×C4—22no—
1088C22×C4—22no—
1089C22×C4—22no—
1090C22×C4—22no—
1091C22×C4—22no—
1092C22×C4—41no—
1093C22×C4—41no—
1094C22×C4—471no—
1095C22×C4—474no—
1096C22×C4—471no—
1097C22×C4—471no—
1098C22×C4—471no—
1099C22×C4—471no—
1100C22×C4—474no—
1101C22×C4—471no—
1102C22×C4—471no—
1103C22×C4—471no—
1104C22×C4—471no—
1105C22×C4—471no—
1106C22×C4—471no—
1107C22×C4—471no—
1108C22×C4—471no—
1109C22×C4—471no—
1110C22×C4—471no—
1111C22×C4—942no—
1112C22×C4—942no—
1113C22×C4—942no—
1114C22×C4—942no—
1115C22×C4—942no—
1116C22×C4—942no—
1117C22×C4—942no—
1118C22×C4—1881no—
1119C22×C4—1881no—
1120C22×C4—1881no—
1121C22×C4—1881no—
1122C22×C4—1881no—
1123C22×C4—1881no—
1124C22×C4—1881no—
1125C22×C4—1881no—
1126C22×C4—1881no—
1127C22×C4C23×D4711yescharacteristic
1128C22×C4C23×D4711yescharacteristic
1129C22×C4C23×D4711yescharacteristic
1130C22×C4C23×D4711yescharacteristic
1131C22×C4C23×D4711yescharacteristic
1132C22×C4C23×D4711yescharacteristic
1133C22×C4C23×D4711yescharacteristic
1134C22×C4C23×D4711yescharacteristic
1135C22×C4C23×D4711yescharacteristic
1136C22×C4C23×D4711yescharacteristic
1137C22×C4C23×D4711yescharacteristic
1138C22×C4C23×D4711yescharacteristic
1139C22×C4C23×D4711yescharacteristic
1140C4⋊C4—22no—
1141C4⋊C4—22no—
1142C4⋊C4—22no—
1143C4⋊C4—22no—
1144C4⋊C4—22no—
1145C4⋊C4—22no—
1146C4⋊C4—41no—
1147C4⋊C4—942no—
1148C4⋊C4—942no—
1149C4⋊C4—942no—
1150C4⋊C4—942no—
1151C4⋊C4—942no—
1152C4⋊C4—942no—
1153C4⋊C4—942no—
1154C4⋊C4—942no—
1155C4⋊C4—942no—
1156C4⋊C4—942no—
1157C4⋊C4—942no—
1158C4⋊C4—942no—
1159C4⋊C4—942no—
1160C4⋊C4—942no—
1161C4⋊C4—942no—
1162C4⋊C4—942no—
1163C4⋊C4—942no—
1164C4⋊C4—942no—
1165C4⋊C4—1881no—
1166C4⋊C4—1881no—
1167C4⋊C4—1881no—
1168C4⋊C4—1881no—
1169C4⋊C4—1881no—
1170C4⋊C4—1881no—
1171C4⋊C4—1881no—
1172C4⋊C4—1881no—
1173C4⋊C4—1881no—
1174C4⋊C4#1062535214yes—
1175C22⋊C4—22no—
1176C22⋊C4—22no—
1177C22⋊C4—22no—
1178C22⋊C4—22no—
1179C22⋊C4—22no—
1180C22⋊C4—22no—
1181C22⋊C4—22no—
1182C22⋊C4—41no—
1183C22⋊C4—41no—
1184C22⋊C4—942no—
1185C22⋊C4—942no—
1186C22⋊C4—942no—
1187C22⋊C4—942no—
1188C22⋊C4—942no—
1189C22⋊C4—942no—
1190C22⋊C4—942no—
1191C22⋊C4—942no—
1192C22⋊C4—942no—
1193C22⋊C4—942no—
1194C22⋊C4—942no—
1195C22⋊C4—942no—
1196C22⋊C4—942no—
1197C22⋊C4—1881no—
1198C22⋊C4—1881no—
1199C22⋊C4—1881no—
1200C22⋊C4—1881no—
1201C22⋊C4—1881no—
1202C22⋊C4—1881no—
1203C22⋊C4—1881no—
1204C22⋊C4—1881no—
1205C42—22no—
1206C42—41no—
1207C42—474no—
1208C42—942no—
1209C42—942no—
1210C42—942no—
1211C42—942no—
1212C42—942no—
1213C42—942no—
1214C42—942no—
1215C42—942no—
1216C42—942no—
1217C42—942no—
1218C42—942no—
1219C42—942no—
1220C42—1881no—
1221C42—1881no—
1222C42—1881no—
1223C42—1881no—
1224C42—1881no—
1225C42—1881no—
1226C42—1881no—
1227C23—21no—
1228C23—21no—
1229C23—21no—
1230C23—21no—
1231C23—21no—
1232C23—21no—
1233C23—21no—
1234C23—21no—
1235C23—21no—
1236C23—21no—
1237C23—21no—
1238C23—941no—
1239C23—941no—
1240C23—941no—
1241C23—941no—
1242C23—941no—
1243C23—941no—
1244C23—941no—
1245C23#41×D4712yes—
1246C23#41×D4712yes—
1247C23#1309407112yes—
1248C23C24×D4711yescharacteristic
1249Q8—1884no—
1250Q8—1884no—
1251D4—44no—
1252D4—1884no—
1253D4—1884no—
1254C2×C4—28no—
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—21no—
1289C2×C4—21no—
1290C2×C4—44no—
1291C2×C4—44no—
1292C2×C4—472no—
1293C2×C4—472no—
1294C2×C4—472no—
1295C2×C4—472no—
1296C2×C4—472no—
1297C2×C4—472no—
1298C2×C4—472no—
1299C2×C4—948no—
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—941no—
1335C2×C4—941no—
1336C2×C4—941no—
1337C2×C4—941no—
1338C2×C4—3762no—
1339C2×C4—3762no—
1340C2×C4—1884no—
1341C2×C4—1884no—
1342C2×C4—1884no—
1343C2×C4#41×D4712yes—
1344C2×C4C2×#1062535212yes—
1345C2×C4C2×#1062535212yes—
1346C2×C4C2×#1062535212yes—
1347C22—22no—
1348C22—22no—
1349C22—22no—
1350C22—22no—
1351C22—22no—
1352C22—22no—
1353C22—41no—
1354C22—41no—
1355C22—41no—
1356C22—41no—
1357C22—41no—
1358C22—41no—
1359C22—41no—
1360C22—1881no—
1361C22—1881no—
1362C22—1881no—
1363C22—1881no—
1364C22—1881no—
1365C22—1881no—
1366C22—1881no—
1367C22#1568984014yes—
1368C22C2×#41×D4711yescharacteristic
1369C22C2×#41×D4711yescharacteristic
1370C22C2×#41×D4711yescharacteristic
1371C22C22×#1062535211yescharacteristic
1372C22H(5,𝔽2)×D4711yescharacteristic
1373C22C2×#1309407111yescharacteristic
1374C22#1568996011yescharacteristic
1375C4—22no—
1376C4—22no—
1377C4—22no—
1378C4—22no—
1379C4—41no—
1380C4—41no—
1381C4—41no—
1382C4—41no—
1383C4—41no—
1384C4—41no—
1385C4—41no—
1386C4—41no—
1387C4—41no—
1388C4—474no—
1389C4—942no—
1390C4—942no—
1391C4—942no—
1392C4—942no—
1393C4—1881no—
1394C4—1881no—
1395C4—1881no—
1396C4—1881no—
1397C4—1881no—
1398C4—1881no—
1399C4—1881no—
1400C4—1881no—
1401C4—1881no—
1402C4—1881no—
1403C2—24no—
1404C2—81no—
1405C2—3761no—
1406C2#2025668011yescharacteristic
1407C2#553×D4711yescharacteristic
1408C2C2×#1568984011yescharacteristic
1409C2#2025697811yescharacteristic
1410C2#2025712911yescharacteristic
1411C2#2025722011yescharacteristic
1412C2#2025742411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2481C2
prime radicalC2×#13093996C22
hypercenter#2481D47
hypocenterC47#36605
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2481

Complements

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

NH ≅ G/Ntype
1. #20251738C2semidirect
4. #20248899C2semidirect
5. #20248891C2semidirect
6. #20248738C2semidirect
7. #20248732C2semidirect
8. #20248642C2semidirect
9. #20248640C2semidirect
10. #20248615C2semidirect
11. #20248363C2semidirect
12. #20248140C2semidirect
13. #20248138C2semidirect
14. #20247991C2semidirect
15. #20247973C2semidirect
16. #20247952C2semidirect
17. #20247944C2semidirect
18. #20247643C2semidirect
19. #20247170C2semidirect
20. #20247163C2semidirect
21. #20246514C2semidirect
22. #20246512C2semidirect
23. #20246462C2semidirect
24. #20246350C2semidirect
25. #20246326C2semidirect
26. #20246322C2semidirect
27. #20245920C2semidirect
28. C4×#13094001C2semidirect
30. C2×C4⋊C4×Dic47C2semidirect
31. C47×#2481C2semidirect
715. #2481D47semidirect
893. C47#36605semidirect

Maximal subgroups

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

subgroupindex
#202517382
#202516852
#202488992
#202488912
#202487382
#202487322
#202486422
#202486402
#202486152
#202483632
#202481402
#202481382
#202479912
#202479732
#202479522
#202479442
#202476432
#202471702
#202471632
#202465142
#202465122
#202464622
#202463502
#202463262
#202463222
#202459202
C4×#130940012
#202458982
C2×C4⋊C4×Dic472
C47×#24812
#3660547