Finite Group Databasebeta

← D47×#2493 #26385236

Subgroups — D47×#2493 #26385236

Order 12032.

2398 conjugacy classes of subgroups.

The subgroup lattice has 1474 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20247780C211yesmaximal, characteristic, complemented
2#20247779C211yesmaximal, characteristic, complemented
3#20247778C211yesmaximal, characteristic, complemented
4#20247777C211yesmaximal, characteristic, complemented
5#20247776C211yesmaximal, characteristic, complemented
6#20247775C211yesmaximal, characteristic, complemented
7#20247774C211yesmaximal, characteristic, complemented
8#20247773C211yesmaximal, characteristic, complemented
9#20247772C211yesmaximal, characteristic, complemented
10#20247771C211yesmaximal, characteristic, complemented
11#20247770C211yesmaximal, characteristic, complemented
12#20247769C211yesmaximal, characteristic, complemented
13#20247768C211yesmaximal, characteristic, complemented
14#20247767C211yesmaximal, characteristic, complemented
15#20247766C211yesmaximal, characteristic, complemented
16#401×D47C211yesmaximal, characteristic, complemented
17#400×D47C211yesmaximal, characteristic, complemented
18#400×D47C211yesmaximal, characteristic, complemented
19#400×D47C211yesmaximal, characteristic, complemented
20#387×D47C211yesmaximal, characteristic, complemented
21#387×D47C211yesmaximal, characteristic, complemented
22#387×D47C211yesmaximal, characteristic, complemented
23#385×D47C211yesmaximal, characteristic
24#385×D47C211yesmaximal, characteristic
25#383×D47C211yesmaximal, characteristic, complemented
26#381×D47C211yesmaximal, characteristic
27#381×D47C211yesmaximal, characteristic
28#380×D47C211yesmaximal, characteristic
29C4×C22⋊C4×D47C211yesmaximal, characteristic
30C2×#95×D47C211yesmaximal, characteristic
31C47×#2493C211yesmaximal, characteristic, complemented
32C23×C4×D47C2211yescharacteristic
33C23×C4×D47C2211yescharacteristic
34C23×C4×D47C2211yescharacteristic
35C2×C4⋊C4×D47C2211yescharacteristic
36C2×C4⋊C4×D47C2211yescharacteristic
37C2×C4⋊C4×D47C2211yescharacteristic
38C2×C4⋊C4×D47C2211yescharacteristic
39C2×C4⋊C4×D47C2211yescharacteristic
40C2×C4⋊C4×D47C2211yescharacteristic
41C2×C22⋊C4×D47C2211yescharacteristic
42C2×C22⋊C4×D47C2211yescharacteristic
43C2×C22⋊C4×D47C2211yescharacteristic
44C2×C22⋊C4×D47C2211yescharacteristic
45C2×C42×D47C2211yescharacteristic
46C2×C42×D47C2211yescharacteristic
47C47⋊#401C2211yescharacteristic, complemented
48C47⋊#401C2211yescharacteristic, complemented
49C47⋊#401C2211yescharacteristic, complemented
50C47⋊#401C2211yescharacteristic, complemented
51C47⋊#401C2211yescharacteristic, complemented
52C47⋊#401C2211yescharacteristic, complemented
53C47⋊#401C2211yescharacteristic, complemented
54#15689065C2211yescharacteristic, complemented
55#15689065C2211yescharacteristic, complemented
56#15689065C2211yescharacteristic, complemented
57#15689065C2211yescharacteristic, complemented
58#15689065C2211yescharacteristic, complemented
59#15689065C2211yescharacteristic, complemented
60#15689064C2211yescharacteristic, complemented
61#15689064C2211yescharacteristic, complemented
62#15689064C2211yescharacteristic, complemented
63#15689064C2211yescharacteristic, complemented
64#15689064C2211yescharacteristic, complemented
65#15689064C2211yescharacteristic, complemented
66#15689063C2211yescharacteristic, complemented
67#15689063C2211yescharacteristic, complemented
68#15689063C2211yescharacteristic, complemented
69#15689062C2211yescharacteristic, complemented
70#15689062C2211yescharacteristic, complemented
71#15689062C2211yescharacteristic, complemented
72#15689061C2211yescharacteristic, complemented
73#15689061C2211yescharacteristic, complemented
74#15689061C2211yescharacteristic, complemented
75#15689010C2211yescharacteristic, complemented
76#15689010C2211yescharacteristic, complemented
77#15689010C2211yescharacteristic, complemented
78#15689009C2211yescharacteristic, complemented
79#15689009C2211yescharacteristic, complemented
80#15689009C2211yescharacteristic, complemented
81#15689008C2211yescharacteristic, complemented
82#15689008C2211yescharacteristic, complemented
83#15689008C2211yescharacteristic, complemented
84#15689007C2211yescharacteristic, complemented
85#15689007C2211yescharacteristic, complemented
86#15689007C2211yescharacteristic, complemented
87#15689006C2211yescharacteristic, complemented
88#15689006C2211yescharacteristic, complemented
89#15689006C2211yescharacteristic, complemented
90#15689005C2211yescharacteristic, complemented
91#15689005C2211yescharacteristic, complemented
92#15689005C2211yescharacteristic, complemented
93#15689004C2211yescharacteristic, complemented
94#15689004C2211yescharacteristic, complemented
95#15689004C2211yescharacteristic, complemented
96#15688998C2211yescharacteristic
97#15688998C2211yescharacteristic
98#15688997C2211yescharacteristic
99#15688997C2211yescharacteristic
100#15688997C2211yescharacteristic
101#15688997C2211yescharacteristic
102#15688996C2211yescharacteristic
103#15688996C2211yescharacteristic
104#15688995C2211yescharacteristic
105#15688995C2211yescharacteristic
106#15688994C2211yescharacteristic
107#15688994C2211yescharacteristic
108#15688994C2211yescharacteristic
109#15688994C2211yescharacteristic
110#15688991C2211yescharacteristic, complemented
111#15688990C2211yescharacteristic, complemented
112#15688990C2211yescharacteristic, complemented
113#15688990C2211yescharacteristic, complemented
114#15688990C2211yescharacteristic, complemented
115#15688990C2211yescharacteristic, complemented
116#15688990C2211yescharacteristic, complemented
117#15688986C2211yescharacteristic
118#15688986C2211yescharacteristic
119#15688985C2211yescharacteristic
120#15688985C2211yescharacteristic
121#15688985C2211yescharacteristic
122#15688985C2211yescharacteristic
123#15688985C2211yescharacteristic
124#15688985C2211yescharacteristic
125#15688985C2211yescharacteristic
126#15688985C2211yescharacteristic
127#15688984C2211yescharacteristic
128#15688984C2211yescharacteristic
129#15688984C2211yescharacteristic
130#15688984C2211yescharacteristic
131#15688983C2211yescharacteristic
132#15688982C2211yescharacteristic
133#15688982C2211yescharacteristic
134#15688981C2211yescharacteristic
135#15688981C2211yescharacteristic
136#15688980C2211yescharacteristic
137#15688980C2211yescharacteristic
138C22⋊C4×Dic47C2211yescharacteristic
139C22⋊C4×Dic47C2211yescharacteristic
140C4×(C2×D47)⋊C4C2211yescharacteristic
141C4×(C2×D47)⋊C4C2211yescharacteristic
142C4×C22⋊Dic47C2211yescharacteristic
143#15688970C2211yescharacteristic
144#15688970C2211yescharacteristic
145C2×C47⋊#95C2211yescharacteristic
146C2×C47⋊#95C2211yescharacteristic
147C2×C47⋊#95C2211yescharacteristic
148#95×D47C2211yescharacteristic
149#95×D47C2211yescharacteristic
150#95×D47C2211yescharacteristic
151#95×D47C2211yescharacteristic
152#95×D47C2211yescharacteristic
153#95×D47C2211yescharacteristic
154#95×D47C2211yescharacteristic
155#95×D47C2211yescharacteristic
156#95×D47C2211yescharacteristic
157#95×D47C2211yescharacteristic
158#95×D47C2211yescharacteristic
159#95×D47C2211yescharacteristic
160#95×D47C2211yescharacteristic
161#95×D47C2211yescharacteristic
162#95×D47C2211yescharacteristic
163#95×D47C2211yescharacteristic
164#95×D47C2211yescharacteristic
165#95×D47C2211yescharacteristic
166#95×D47C2211yescharacteristic
167#95×D47C2211yescharacteristic
168#95×D47C2211yescharacteristic
169#95×D47C2211yescharacteristic
170#95×D47C2211yescharacteristic
171#95×D47C2211yescharacteristic
172C47×#401C2211yescharacteristic, complemented
173C47×#400C2211yescharacteristic, complemented
174C47×#400C2211yescharacteristic, complemented
175C47×#400C2211yescharacteristic, complemented
176C47×#387C2211yescharacteristic, complemented
177C47×#387C2211yescharacteristic, complemented
178C47×#387C2211yescharacteristic, complemented
179C47×#385C2211yescharacteristic
180C47×#385C2211yescharacteristic
181C47×#383C2211yescharacteristic, complemented
182C47×#381C2211yescharacteristic
183C47×#381C2211yescharacteristic
184C47×#380C2211yescharacteristic
185C4×C22⋊C4×C47C2211yescharacteristic
186C2×#95×C47C2211yescharacteristic
187C24×D47C2311yescharacteristic
188C23×Dic47C2311yescharacteristic
189C23×Dic47C2311yescharacteristic
190C23×Dic47C2311yescharacteristic
191C22×C4×D47—24no—
192C22×C4×D47—24no—
193C22×C4×D47—24no—
194C22×C4×D47—24no—
195C22×C4×D47—24no—
196C22×C4×D47—24no—
197C22×C4×D47—24no—
198C22×C4×D47—42no—
199C22×C4×D47—42no—
200C22×C4×D47C2311yescharacteristic
201C22×C4×D47C2311yescharacteristic
202C22×C4×D47C2311yescharacteristic
203C22×C4×D47C2311yescharacteristic
204C22×C4×D47C2311yescharacteristic
205C22×C4×D47C2311yescharacteristic
206C22×C4×D47C2311yescharacteristic
207C22×C4×D47C2311yescharacteristic
208C22×C4×D47C2311yescharacteristic
209C22×C4×D47C2311yescharacteristic
210C22×C4×D47C2311yescharacteristic
211C22×C4×D47C2311yescharacteristic
212C22×C4×D47C2311yescharacteristic
213C22×C4×D47C2311yescharacteristic
214C22×C4×D47C2311yescharacteristic
215C22×C4×D47C2311yescharacteristic
216C22×C4×D47C2311yescharacteristic
217C22×C4×D47C2311yescharacteristic
218C22×C4×D47C2311yescharacteristic
219C22×C4×D47C2311yescharacteristic
220C2×C4⋊Dic47C2311yescharacteristic
221C2×C4⋊Dic47C2311yescharacteristic
222C2×C4⋊Dic47C2311yescharacteristic
223C2×C4⋊Dic47C2311yescharacteristic
224C2×C4⋊Dic47C2311yescharacteristic
225C2×C4⋊Dic47C2311yescharacteristic
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×Dic47⋊C4C2311yescharacteristic
238C4⋊C4×D47—24no—
239C4⋊C4×D47—24no—
240C4⋊C4×D47—24no—
241C4⋊C4×D47—42no—
242C4⋊C4×D47—42no—
243C4⋊C4×D47—42no—
244C2×C22⋊Dic47C2311yescharacteristic
245C2×C22⋊Dic47C2311yescharacteristic
246C2×C22⋊Dic47C2311yescharacteristic
247C2×C22⋊Dic47C2311yescharacteristic
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
256C22⋊C4×D47—24no—
257C22⋊C4×D47—24no—
258C22⋊C4×D47—24no—
259C22⋊C4×D47—24no—
260C2×C4×Dic47C2311yescharacteristic
261C2×C4×Dic47C2311yescharacteristic
262C2×C4×Dic47C2311yescharacteristic
263C2×C4×Dic47C2311yescharacteristic
264C2×C4×Dic47C2311yescharacteristic
265C2×C4×Dic47C2311yescharacteristic
266C42×D47—24no—
267C42×D47—42no—
268C47⋊#95C2311yescharacteristic
269C47⋊#95C2311yescharacteristic
270C47⋊#95C2311yescharacteristic
271C47⋊#95C2311yescharacteristic
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
320C47⋊#95C2311yescharacteristic
321C47⋊#95C2311yescharacteristic
322C47⋊#95C2311yescharacteristic
323C47⋊#95C2311yescharacteristic
324C47⋊#95C2311yescharacteristic
325C47⋊#95C2311yescharacteristic
326C47⋊#95C2311yescharacteristic
327C47⋊#95C2311yescharacteristic
328C23×C4×C47C2311yescharacteristic
329C23×C4×C47C2311yescharacteristic
330C23×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×C42×C47C2311yescharacteristic
342C2×C42×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
357#95×C47C2311yescharacteristic
358#95×C47C2311yescharacteristic
359#95×C47C2311yescharacteristic
360#95×C47C2311yescharacteristic
361#95×C47C2311yescharacteristic
362#95×C47C2311yescharacteristic
363C24×C47C2411yescharacteristic
364C23×D47—22no—
365C23×D47—22no—
366C23×D47—22no—
367C23×D47—22no—
368C23×D47#4114yes—
369C23×D47#4114yes—
370C23×D47#4114yes—
371C23×D47C2411yescharacteristic
372C23×D47C2411yescharacteristic
373C22×C4×C47—22no—
374C22×C4×C47—22no—
375C22×C4×C47—22no—
376C22×C4×C47—22no—
377C22×C4×C47—22no—
378C22×C4×C47—22no—
379C22×C4×C47—22no—
380C22×C4×C47—41no—
381C22×C4×C47—41no—
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×C4×C47C2411yescharacteristic
394C22×C4×C47C2411yescharacteristic
395C22×C4×C47C2411yescharacteristic
396C22×Dic47—22no—
397C22×Dic47—22no—
398C22×Dic47—22no—
399C22×Dic47—22no—
400C22×Dic47—22no—
401C22×Dic47—22no—
402C22×Dic47—22no—
403C22×Dic47—41no—
404C22×Dic47—41no—
405C22×Dic47C2411yescharacteristic
406C22×Dic47C2411yescharacteristic
407C22×Dic47C2411yescharacteristic
408C22×Dic47C2411yescharacteristic
409C22×Dic47C2411yescharacteristic
410C22×Dic47C2411yescharacteristic
411C22×Dic47C2411yescharacteristic
412C22×Dic47C2411yescharacteristic
413C22×Dic47C2411yescharacteristic
414C22×Dic47C2411yescharacteristic
415C22×Dic47C2411yescharacteristic
416C22×Dic47C2411yescharacteristic
417C22×Dic47C2411yescharacteristic
418C22×Dic47C2411yescharacteristic
419C2×C4×D47—22no—
420C2×C4×D47—22no—
421C2×C4×D47—22no—
422C2×C4×D47—22no—
423C2×C4×D47—22no—
424C2×C4×D47—22no—
425C2×C4×D47—22no—
426C2×C4×D47—22no—
427C2×C4×D47—22no—
428C2×C4×D47—22no—
429C2×C4×D47—22no—
430C2×C4×D47—22no—
431C2×C4×D47—22no—
432C2×C4×D47—22no—
433C2×C4×D47—22no—
434C2×C4×D47—22no—
435C2×C4×D47—22no—
436C2×C4×D47—22no—
437C2×C4×D47—22no—
438C2×C4×D47—22no—
439C2×C4×D47—22no—
440C2×C4×D47—22no—
441C2×C4×D47—22no—
442C2×C4×D47—22no—
443C2×C4×D47—22no—
444C2×C4×D47—22no—
445C2×C4×D47—22no—
446C2×C4×D47—22no—
447C2×C4×D47—22no—
448C2×C4×D47—22no—
449C2×C4×D47—22no—
450C2×C4×D47—22no—
451C2×C4×D47—22no—
452C2×C4×D47—22no—
453C2×C4×D47—22no—
454C2×C4×D47—22no—
455C2×C4×D47—22no—
456C2×C4×D47—22no—
457C2×C4×D47—22no—
458C2×C4×D47—22no—
459C2×C4×D47—22no—
460C2×C4×D47—22no—
461C2×C4×D47—22no—
462C2×C4×D47—22no—
463C2×C4×D47—22no—
464C2×C4×D47—22no—
465C2×C4×D47—22no—
466C2×C4×D47—22no—
467C2×C4×D47—22no—
468C2×C4×D47—22no—
469C2×C4×D47—22no—
470C2×C4×D47—22no—
471C2×C4×D47—22no—
472C2×C4×D47—22no—
473C2×C4×D47—416no—
474C2×C4×D47—416no—
475C2×C4×D47—41no—
476C2×C4×D47—41no—
477C2×C4×D47—41no—
478C2×C4×D47—41no—
479C2×C4×D47—416no—
480C2×C4×D47#4114yes—
481C2×C4×D47#4114yes—
482C4⋊C4×C47—22no—
483C4⋊C4×C47—22no—
484C4⋊C4×C47—22no—
485C4⋊C4×C47—41no—
486C4⋊C4×C47—41no—
487C4⋊C4×C47—41no—
488C22⋊C4×C47—22no—
489C22⋊C4×C47—22no—
490C22⋊C4×C47—22no—
491C22⋊C4×C47—22no—
492C42×C47—22no—
493C42×C47—41no—
494C22⋊Dic47—22no—
495C22⋊Dic47—22no—
496C22⋊Dic47—22no—
497C22⋊Dic47—22no—
498(C2×D47)⋊C4—22no—
499(C2×D47)⋊C4—22no—
500(C2×D47)⋊C4—22no—
501(C2×D47)⋊C4—22no—
502(C2×D47)⋊C4—22no—
503(C2×D47)⋊C4—22no—
504(C2×D47)⋊C4—22no—
505(C2×D47)⋊C4—22no—
506C4⋊Dic47—22no—
507C4⋊Dic47—22no—
508C4⋊Dic47—22no—
509C4⋊Dic47—41no—
510C4⋊Dic47—41no—
511C4⋊Dic47—41no—
512Dic47⋊C4—22no—
513Dic47⋊C4—22no—
514Dic47⋊C4—22no—
515Dic47⋊C4—22no—
516Dic47⋊C4—22no—
517Dic47⋊C4—22no—
518Dic47⋊C4—41no—
519Dic47⋊C4—41no—
520Dic47⋊C4—41no—
521Dic47⋊C4—41no—
522Dic47⋊C4—41no—
523Dic47⋊C4—41no—
524C4×Dic47—22no—
525C4×Dic47—22no—
526C4×Dic47—22no—
527C4×Dic47—41no—
528C4×Dic47—41no—
529C4×Dic47—41no—
530C23×C47—21no—
531C23×C47—21no—
532C23×C47—21no—
533C23×C47—21no—
534C23×C47C2×#4112yes—
535C23×C47C2×#4112yes—
536C23×C47C2×#4112yes—
537C23×C47C2511yescharacteristic
538C22×D47—21no—
539C22×D47—21no—
540C22×D47—21no—
541C22×D47—21no—
542C22×D47—28no—
543C22×D47—28no—
544C22×D47—28no—
545C22×D47—28no—
546C22×D47—28no—
547C22×D47—28no—
548C22×D47#126116yes—
549C22×D47C2×#4112yes—
550C22×D47C2×#4112yes—
551C22×D47C2×#4112yes—
552C22×D47C2×#4112yes—
553C22×D47C2×#4112yes—
554C22×D47C2×#4112yes—
555C22×D47C2×#4112yes—
556C22×D47C2×#4112yes—
557C22×D47H(5,𝔽2)12yes—
558C22×D472−1+412yes—
559C2×C4×C47—21no—
560C2×C4×C47—21no—
561C2×C4×C47—21no—
562C2×C4×C47—21no—
563C2×C4×C47—21no—
564C2×C4×C47—21no—
565C2×C4×C47—21no—
566C2×C4×C47—21no—
567C2×C4×C47—21no—
568C2×C4×C47—21no—
569C2×C4×C47—21no—
570C2×C4×C47—21no—
571C2×C4×C47—21no—
572C2×C4×C47—21no—
573C2×C4×C47—21no—
574C2×C4×C47—21no—
575C2×C4×C47—21no—
576C2×C4×C47—21no—
577C2×C4×C47—21no—
578C2×C4×C47—21no—
579C2×C4×C47—21no—
580C2×C4×C47—21no—
581C2×C4×C47—21no—
582C2×C4×C47—21no—
583C2×C4×C47—21no—
584C2×C4×C47—21no—
585C2×C4×C47—21no—
586C2×C4×C47—21no—
587C2×C4×C47—21no—
588C2×C4×C47—21no—
589C2×C4×C47—21no—
590C2×C4×C47—21no—
591C2×C4×C47—21no—
592C2×C4×C47—21no—
593C2×C4×C47—21no—
594C2×C4×C47—21no—
595C2×C4×C47—21no—
596C2×C4×C47—21no—
597C2×C4×C47—21no—
598C2×C4×C47—21no—
599C2×C4×C47—44no—
600C2×C4×C47—44no—
601C2×C4×C47—44no—
602C2×C4×C47C2×#4112yes—
603C2×C4×C47C2×#4112yes—
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—21no—
627C2×Dic47—21no—
628C2×Dic47—21no—
629C2×Dic47—21no—
630C2×Dic47—21no—
631C2×Dic47—21no—
632C2×Dic47—21no—
633C2×Dic47—21no—
634C2×Dic47—21no—
635C2×Dic47—21no—
636C2×Dic47—21no—
637C2×Dic47—21no—
638C2×Dic47—21no—
639C2×Dic47—21no—
640C2×Dic47—21no—
641C2×Dic47—21no—
642C2×Dic47—21no—
643C2×Dic47—21no—
644C2×Dic47—44no—
645C2×Dic47—44no—
646C2×Dic47—44no—
647C2×Dic47C2×#4112yes—
648C2×Dic47C2×#4112yes—
649C4×D47—28no—
650C4×D47—28no—
651C4×D47—44no—
652C4×D47—44no—
653C4×D47—44no—
654C4×D47—44no—
655C4×D47—44no—
656C4×D47—44no—
657C4×D47—44no—
658C4×D47—44no—
659C4×D47—44no—
660C4×D47—44no—
661C4×D47—44no—
662C4×D47—44no—
663C4×D47—44no—
664C4×D47—44no—
665C4×D47—44no—
666C4×D47—44no—
667C4×D47—44no—
668C4×D47—44no—
669C2×#2493—471nomaximal, Sylow
670C22×C47—22no—
671C22×C47—22no—
672C22×C47—22no—
673C22×C47—22no—
674C22×C47—22no—
675C22×C47—22no—
676C22×C47C2×#12614yes—
677C22×C47C22×#4111yescharacteristic
678C22×C47C22×#4111yescharacteristic
679C22×C47C22×#4111yescharacteristic
680C22×C47C22×#4111yescharacteristic
681C22×C47C22×#4111yescharacteristic
682C22×C47C2×H(5,𝔽2)11yescharacteristic
683C22×C47C2×2−1+411yescharacteristic
684C2×D47—22no—
685C2×D47—22no—
686C2×D47—22no—
687C2×D47—22no—
688C2×D47—22no—
689C2×D47—22no—
690C2×D47—232no—
691C2×D47C2×#12614yes—
692C2×D47C2×#12614yes—
693C2×D47#52914yes—
694C2×D47#53914yes—
695C2×D47#55114yes—
696C2×D47#55114yes—
697C2×D47#55214yes—
698C2×D47#55214yes—
699C4×C47—22no—
700C4×C47—22no—
701C4×C47—41no—
702C4×C47—41no—
703C4×C47—41no—
704C4×C47—41no—
705C4×C47—41no—
706C4×C47—41no—
707C4×C47—41no—
708C4×C47—41no—
709C4×C47—41no—
710C4×C47—41no—
711C4×C47—41no—
712C4×C47—41no—
713Dic47—22no—
714Dic47—22no—
715Dic47—41no—
716Dic47—41no—
717Dic47—41no—
718Dic47—41no—
719Dic47—41no—
720Dic47—41no—
721Dic47—41no—
722Dic47—41no—
723Dic47—41no—
724Dic47—41no—
725Dic47—41no—
726Dic47—41no—
727#2493—471no—
728#2493—471no—
729#2493—471no—
730#2493—471no—
731#2493—471no—
732#2493—471no—
733#2493—471no—
734#2493—471no—
735#2493—471no—
736#2493—471no—
737#2493—471no—
738#2493—471no—
739#2493—471no—
740#2493—471no—
741#2493—471no—
742#2493D4711yescharacteristic, direct product factor
743C2×#401—471no—
744C2×#400—471no—
745C2×#400—471no—
746C2×#400—471no—
747C2×#387—471no—
748C2×#387—471no—
749C2×#387—471no—
750C2×#385—471no—
751C2×#385—471no—
752C2×#383—471no—
753C2×#381—471no—
754C2×#381—471no—
755C2×#380—471no—
756C2×C4×C22⋊C4—471no—
757C22×#95—471no—
758C2×C47—24no—
759C2×C47C22×#12611yescharacteristic
760C2×C47C2×#52911yescharacteristic
761C2×C47C2×#53911yescharacteristic
762C2×C47C2×#55111yescharacteristic
763C2×C47C2×#55111yescharacteristic
764C2×C47C2×#55211yescharacteristic
765C2×C47C2×#55211yescharacteristic
766D47—24no—
767D47#249318yesdirect product factor
768C24×C4—471no—
769C24×C4—471no—
770C24×C4—471no—
771C22×C4⋊C4—471no—
772C22×C4⋊C4—471no—
773C22×C4⋊C4—471no—
774C22×C4⋊C4—471no—
775C22×C4⋊C4—471no—
776C22×C4⋊C4—471no—
777C22×C22⋊C4—471no—
778C22×C22⋊C4—471no—
779C22×C22⋊C4—471no—
780C22×C22⋊C4—471no—
781C22×C42—471no—
782C22×C42—471no—
783#401—471no—
784#401—471no—
785#401—471no—
786#401—471no—
787#401—471no—
788#401—471no—
789#401—471no—
790#401C2×D4711yescharacteristic, complemented
791#400—471no—
792#400—471no—
793#400—471no—
794#400—471no—
795#400—471no—
796#400—471no—
797#400—471no—
798#400—471no—
799#400—471no—
800#400—471no—
801#400—471no—
802#400—471no—
803#400—471no—
804#400—471no—
805#400—471no—
806#400—471no—
807#400—471no—
808#400—471no—
809#400—471no—
810#400—471no—
811#400—471no—
812#400C2×D4711yescharacteristic, complemented
813#400C2×D4711yescharacteristic, complemented
814#400C2×D4711yescharacteristic, complemented
815#387—471no—
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#387—471no—
833#387—471no—
834#387—471no—
835#387—471no—
836#387C2×D4711yescharacteristic, complemented
837#387C2×D4711yescharacteristic, complemented
838#387C2×D4711yescharacteristic, complemented
839#385—471no—
840#385—471no—
841#385—471no—
842#385—471no—
843#385—471no—
844#385—471no—
845#385—471no—
846#385—471no—
847#385—471no—
848#385—471no—
849#385—471no—
850#385—471no—
851#385—471no—
852#385—471no—
853#385C2×D4711yescharacteristic
854#385C2×D4711yescharacteristic
855#383—471no—
856#383—471no—
857#383—471no—
858#383—471no—
859#383—471no—
860#383—471no—
861#383—471no—
862#383C2×D4711yescharacteristic, complemented
863#381—471no—
864#381—471no—
865#381—471no—
866#381—471no—
867#381—471no—
868#381—471no—
869#381—471no—
870#381—471no—
871#381—471no—
872#381—471no—
873#381—471no—
874#381—471no—
875#381—471no—
876#381—471no—
877#381C2×D4711yescharacteristic
878#381C2×D4711yescharacteristic
879#380—471no—
880#380—471no—
881#380—471no—
882#380—471no—
883#380—471no—
884#380—471no—
885#380—471no—
886#380C2×D4711yescharacteristic
887C4×C22⋊C4—471no—
888C4×C22⋊C4—471no—
889C4×C22⋊C4—471no—
890C4×C22⋊C4—471no—
891C4×C22⋊C4—471no—
892C4×C22⋊C4—471no—
893C4×C22⋊C4—471no—
894C4×C22⋊C4C2×D4711yescharacteristic
895C2×#95—471no—
896C2×#95—471no—
897C2×#95—471no—
898C2×#95—471no—
899C2×#95—471no—
900C2×#95—471no—
901C2×#95—471no—
902C2×#95—471no—
903C2×#95—471no—
904C2×#95—471no—
905C2×#95—471no—
906C2×#95—471no—
907C2×#95—471no—
908C2×#95—471no—
909C2×#95—471no—
910C2×#95—471no—
911C2×#95—471no—
912C2×#95—471no—
913C2×#95—471no—
914C2×#95—471no—
915C2×#95—471no—
916C2×#95—471no—
917C2×#95—471no—
918C2×#95—471no—
919C2×#95—471no—
920C2×#95—471no—
921C2×#95—471no—
922C2×#95C2×D4711yescharacteristic
923C47C2×#249311yescharacteristic, complemented, Sylow
924C25—471no—
925C23×C4—471no—
926C23×C4—471no—
927C23×C4—471no—
928C23×C4—471no—
929C23×C4—471no—
930C23×C4—471no—
931C23×C4—471no—
932C23×C4—471no—
933C23×C4—471no—
934C23×C4—471no—
935C23×C4—471no—
936C23×C4—471no—
937C23×C4—471no—
938C23×C4—471no—
939C23×C4—471no—
940C23×C4—471no—
941C23×C4—471no—
942C23×C4—471no—
943C23×C4—471no—
944C23×C4—471no—
945C23×C4—471no—
946C23×C4—471no—
947C23×C4—471no—
948C23×C4—944no—
949C23×C4—944no—
950C23×C4—944no—
951C23×C4—944no—
952C23×C4—944no—
953C23×C4—944no—
954C23×C4—944no—
955C23×C4—1882no—
956C23×C4—1882no—
957C23×C4C22×D4711yescharacteristic
958C23×C4C22×D4711yescharacteristic
959C23×C4C22×D4711yescharacteristic
960C2×C4⋊C4—471no—
961C2×C4⋊C4—471no—
962C2×C4⋊C4—471no—
963C2×C4⋊C4—471no—
964C2×C4⋊C4—471no—
965C2×C4⋊C4—471no—
966C2×C4⋊C4—471no—
967C2×C4⋊C4—471no—
968C2×C4⋊C4—471no—
969C2×C4⋊C4—471no—
970C2×C4⋊C4—471no—
971C2×C4⋊C4—471no—
972C2×C4⋊C4—471no—
973C2×C4⋊C4—471no—
974C2×C4⋊C4—471no—
975C2×C4⋊C4—471no—
976C2×C4⋊C4—471no—
977C2×C4⋊C4—471no—
978C2×C4⋊C4—944no—
979C2×C4⋊C4—944no—
980C2×C4⋊C4—944no—
981C2×C4⋊C4—1882no—
982C2×C4⋊C4—1882no—
983C2×C4⋊C4—1882no—
984C2×C4⋊C4C22×D4711yescharacteristic
985C2×C4⋊C4C22×D4711yescharacteristic
986C2×C4⋊C4C22×D4711yescharacteristic
987C2×C4⋊C4C22×D4711yescharacteristic
988C2×C4⋊C4C22×D4711yescharacteristic
989C2×C4⋊C4C22×D4711yescharacteristic
990C2×C22⋊C4—471no—
991C2×C22⋊C4—471no—
992C2×C22⋊C4—471no—
993C2×C22⋊C4—471no—
994C2×C22⋊C4—471no—
995C2×C22⋊C4—471no—
996C2×C22⋊C4—471no—
997C2×C22⋊C4—471no—
998C2×C22⋊C4—471no—
999C2×C22⋊C4—471no—
1000C2×C22⋊C4—471no—
1001C2×C22⋊C4—471no—
1002C2×C22⋊C4—944no—
1003C2×C22⋊C4—944no—
1004C2×C22⋊C4—944no—
1005C2×C22⋊C4—944no—
1006C2×C22⋊C4C22×D4711yescharacteristic
1007C2×C22⋊C4C22×D4711yescharacteristic
1008C2×C22⋊C4C22×D4711yescharacteristic
1009C2×C22⋊C4C22×D4711yescharacteristic
1010C2×C42—471no—
1011C2×C42—471no—
1012C2×C42—471no—
1013C2×C42—471no—
1014C2×C42—471no—
1015C2×C42—471no—
1016C2×C42—944no—
1017C2×C42—1882no—
1018C2×C42C22×D4711yescharacteristic
1019C2×C42C22×D4711yescharacteristic
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#95—471no—
1056#95—471no—
1057#95—471no—
1058#95—471no—
1059#95—471no—
1060#95—471no—
1061#95—471no—
1062#95—471no—
1063#95—471no—
1064#95—471no—
1065#95—471no—
1066#95—471no—
1067#95—471no—
1068#95—471no—
1069#95—471no—
1070#95—471no—
1071#95—471no—
1072#95—471no—
1073#95—471no—
1074#95—471no—
1075#95—471no—
1076#95—471no—
1077#95—471no—
1078#95—471no—
1079#95—471no—
1080#95C22×D4711yescharacteristic
1081#95C22×D4711yescharacteristic
1082#95C22×D4711yescharacteristic
1083#95C22×D4711yescharacteristic
1084#95C22×D4711yescharacteristic
1085#95C22×D4711yescharacteristic
1086#95C22×D4711yescharacteristic
1087#95C22×D4711yescharacteristic
1088#95C22×D4711yescharacteristic
1089#95C22×D4711yescharacteristic
1090#95C22×D4711yescharacteristic
1091#95C22×D4711yescharacteristic
1092#95C22×D4711yescharacteristic
1093#95C22×D4711yescharacteristic
1094#95C22×D4711yescharacteristic
1095#95C22×D4711yescharacteristic
1096#95C22×D4711yescharacteristic
1097#95C22×D4711yescharacteristic
1098#95C22×D4711yescharacteristic
1099#95C22×D4711yescharacteristic
1100C24—471no—
1101C24—474no—
1102C24—474no—
1103C24—474no—
1104C24—471no—
1105C24—942no—
1106C24—942no—
1107C24—942no—
1108C24—942no—
1109C24C23×D4711yescharacteristic
1110C22×C4—22no—
1111C22×C4—22no—
1112C22×C4—22no—
1113C22×C4—22no—
1114C22×C4—22no—
1115C22×C4—22no—
1116C22×C4—22no—
1117C22×C4—41no—
1118C22×C4—41no—
1119C22×C4—471no—
1120C22×C4—471no—
1121C22×C4—474no—
1122C22×C4—474no—
1123C22×C4—471no—
1124C22×C4—471no—
1125C22×C4—471no—
1126C22×C4—471no—
1127C22×C4—471no—
1128C22×C4—471no—
1129C22×C4—471no—
1130C22×C4—471no—
1131C22×C4—471no—
1132C22×C4—471no—
1133C22×C4—471no—
1134C22×C4—471no—
1135C22×C4—942no—
1136C22×C4—942no—
1137C22×C4—942no—
1138C22×C4—942no—
1139C22×C4—942no—
1140C22×C4—942no—
1141C22×C4—942no—
1142C22×C4—942no—
1143C22×C4—942no—
1144C22×C4—942no—
1145C22×C4—942no—
1146C22×C4—942no—
1147C22×C4—942no—
1148C22×C4—942no—
1149C22×C4—942no—
1150C22×C4—942no—
1151C22×C4—942no—
1152C22×C4—942no—
1153C22×C4—942no—
1154C22×C4—942no—
1155C22×C4—942no—
1156C22×C4—942no—
1157C22×C4—942no—
1158C22×C4—942no—
1159C22×C4—942no—
1160C22×C4—942no—
1161C22×C4—942no—
1162C22×C4—942no—
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—942no—
1183C22×C4—942no—
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—1881no—
1197C22×C4—1881no—
1198C22×C4—1881no—
1199C22×C4—1881no—
1200C22×C4—18816no—
1201C22×C4—18816no—
1202C22×C4—18816no—
1203C22×C4—1881no—
1204C22×C4—1881no—
1205C22×C4C23×D4711yescharacteristic
1206C22×C4C23×D4711yescharacteristic
1207C22×C4C23×D4711yescharacteristic
1208C22×C4C23×D4711yescharacteristic
1209C22×C4C23×D4711yescharacteristic
1210C22×C4C23×D4711yescharacteristic
1211C22×C4C23×D4711yescharacteristic
1212C22×C4C23×D4711yescharacteristic
1213C22×C4C23×D4711yescharacteristic
1214C22×C4C23×D4711yescharacteristic
1215C22×C4C23×D4711yescharacteristic
1216C22×C4C23×D4711yescharacteristic
1217C22×C4C23×D4711yescharacteristic
1218C22×C4C23×D4711yescharacteristic
1219C4⋊C4—22no—
1220C4⋊C4—22no—
1221C4⋊C4—22no—
1222C4⋊C4—41no—
1223C4⋊C4—41no—
1224C4⋊C4—41no—
1225C4⋊C4—942no—
1226C4⋊C4—942no—
1227C4⋊C4—942no—
1228C4⋊C4—942no—
1229C4⋊C4—942no—
1230C4⋊C4—942no—
1231C4⋊C4—942no—
1232C4⋊C4—942no—
1233C4⋊C4—942no—
1234C4⋊C4—1881no—
1235C4⋊C4—1881no—
1236C4⋊C4—1881no—
1237C4⋊C4—1881no—
1238C4⋊C4—1881no—
1239C4⋊C4—1881no—
1240C4⋊C4—1881no—
1241C4⋊C4—1881no—
1242C4⋊C4—1881no—
1243C22⋊C4—22no—
1244C22⋊C4—22no—
1245C22⋊C4—22no—
1246C22⋊C4—22no—
1247C22⋊C4—942no—
1248C22⋊C4—942no—
1249C22⋊C4—942no—
1250C22⋊C4—942no—
1251C22⋊C4—942no—
1252C22⋊C4—942no—
1253C22⋊C4—942no—
1254C22⋊C4—942no—
1255C22⋊C4—942no—
1256C22⋊C4—942no—
1257C22⋊C4—942no—
1258C22⋊C4—942no—
1259C42—22no—
1260C42—41no—
1261C42—942no—
1262C42—942no—
1263C42—942no—
1264C42—1881no—
1265C42—1881no—
1266C42—1881no—
1267C23—21no—
1268C23—21no—
1269C23—21no—
1270C23—21no—
1271C23—472no—
1272C23—472no—
1273C23—472no—
1274C23—472no—
1275C23—472no—
1276C23—472no—
1277C23—472no—
1278C23—4716no—
1279C23—472no—
1280C23—472no—
1281C23—472no—
1282C23—948no—
1283C23—948no—
1284C23—948no—
1285C23—948no—
1286C23—948no—
1287C23—948no—
1288C23—941no—
1289C23—941no—
1290C23—941no—
1291C23—941no—
1292C23#41×D4712yes—
1293C23#41×D4712yes—
1294C23#41×D4712yes—
1295C23C24×D4711yescharacteristic
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—44no—
1337C2×C4—44no—
1338C2×C4—44no—
1339C2×C4—472no—
1340C2×C4—472no—
1341C2×C4—948no—
1342C2×C4—948no—
1343C2×C4—941no—
1344C2×C4—941no—
1345C2×C4—941no—
1346C2×C4—941no—
1347C2×C4—941no—
1348C2×C4—941no—
1349C2×C4—941no—
1350C2×C4—941no—
1351C2×C4—941no—
1352C2×C4—941no—
1353C2×C4—941no—
1354C2×C4—941no—
1355C2×C4—941no—
1356C2×C4—941no—
1357C2×C4—941no—
1358C2×C4—941no—
1359C2×C4—941no—
1360C2×C4—941no—
1361C2×C4—941no—
1362C2×C4—941no—
1363C2×C4—941no—
1364C2×C4—941no—
1365C2×C4—941no—
1366C2×C4—941no—
1367C2×C4—941no—
1368C2×C4—941no—
1369C2×C4—941no—
1370C2×C4—941no—
1371C2×C4—941no—
1372C2×C4—941no—
1373C2×C4—941no—
1374C2×C4—941no—
1375C2×C4—941no—
1376C2×C4—941no—
1377C2×C4—941no—
1378C2×C4—941no—
1379C2×C4—941no—
1380C2×C4—941no—
1381C2×C4—941no—
1382C2×C4—941no—
1383C2×C4—1884no—
1384C2×C4—1884no—
1385C2×C4—1884no—
1386C2×C4—1884no—
1387C2×C4—1884no—
1388C2×C4—1884no—
1389C2×C4—1884no—
1390C2×C4—1884no—
1391C2×C4—1884no—
1392C2×C4—1884no—
1393C2×C4—1884no—
1394C2×C4—1884no—
1395C2×C4—1884no—
1396C2×C4—1884no—
1397C2×C4—1884no—
1398C2×C4—1884no—
1399C2×C4—1884no—
1400C2×C4—1884no—
1401C2×C4—1884no—
1402C2×C4—1884no—
1403C2×C4—1884no—
1404C2×C4#41×D4712yes—
1405C2×C4#41×D4712yes—
1406C22—22no—
1407C22—22no—
1408C22—22no—
1409C22—22no—
1410C22—22no—
1411C22—22no—
1412C22—474no—
1413C22—474no—
1414C22—474no—
1415C22—474no—
1416C22—474no—
1417C22—474no—
1418C22—474no—
1419C22—474no—
1420C22—9432no—
1421C22—942no—
1422C22—942no—
1423C22—942no—
1424C22—942no—
1425C22—942no—
1426C22—942no—
1427C22#126×D4714yes—
1428C22C2×#41×D4711yescharacteristic
1429C22C2×#41×D4711yescharacteristic
1430C22C2×#41×D4711yescharacteristic
1431C22C2×#41×D4711yescharacteristic
1432C22C2×#41×D4711yescharacteristic
1433C22H(5,𝔽2)×D4711yescharacteristic
1434C222−1+4×D4711yescharacteristic
1435C4—22no—
1436C4—22no—
1437C4—41no—
1438C4—41no—
1439C4—41no—
1440C4—41no—
1441C4—41no—
1442C4—41no—
1443C4—41no—
1444C4—41no—
1445C4—41no—
1446C4—41no—
1447C4—41no—
1448C4—41no—
1449C4—942no—
1450C4—942no—
1451C4—1881no—
1452C4—1881no—
1453C4—1881no—
1454C4—1881no—
1455C4—1881no—
1456C4—1881no—
1457C4—1881no—
1458C4—1881no—
1459C4—1881no—
1460C4—1881no—
1461C4—1881no—
1462C4—1881no—
1463C2—24no—
1464C2—478no—
1465C2—944no—
1466C2C2×#126×D4711yescharacteristic
1467C2#529×D4711yescharacteristic
1468C2#539×D4711yescharacteristic
1469C2#551×D4711yescharacteristic
1470C2#551×D4711yescharacteristic
1471C2#552×D4711yescharacteristic
1472C2#552×D4711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2493C2
prime radicalC24×D47C23
hypercenter#2493D47
hypocenterC47C2×#2493
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2493

Complements

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

NH ≅ G/Ntype
1. #20247780C2semidirect
2. #20247779C2semidirect
3. #20247778C2semidirect
4. #20247777C2semidirect
5. #20247776C2semidirect
6. #20247775C2semidirect
7. #20247774C2semidirect
8. #20247773C2semidirect
9. #20247772C2semidirect
10. #20247771C2semidirect
11. #20247770C2semidirect
12. #20247769C2semidirect
13. #20247768C2semidirect
14. #20247767C2semidirect
15. #20247766C2semidirect
16. #401×D47C2semidirect
17. #400×D47C2semidirect
18. #400×D47C2semidirect
19. #400×D47C2semidirect
20. #387×D47C2semidirect
21. #387×D47C2semidirect
22. #387×D47C2semidirect
25. #383×D47C2semidirect
31. C47×#2493C2semidirect
47. C47⋊#401C22semidirect
48. C47⋊#401C22semidirect
49. C47⋊#401C22semidirect
50. C47⋊#401C22semidirect
51. C47⋊#401C22semidirect
52. C47⋊#401C22semidirect
53. C47⋊#401C22semidirect
54. #15689065C22semidirect
55. #15689065C22semidirect
56. #15689065C22semidirect
57. #15689065C22semidirect
58. #15689065C22semidirect
59. #15689065C22semidirect
60. #15689064C22semidirect
61. #15689064C22semidirect
62. #15689064C22semidirect
63. #15689064C22semidirect
64. #15689064C22semidirect
65. #15689064C22semidirect
66. #15689063C22semidirect
67. #15689063C22semidirect
68. #15689063C22semidirect
69. #15689062C22semidirect
70. #15689062C22semidirect
71. #15689062C22semidirect
72. #15689061C22semidirect
73. #15689061C22semidirect
74. #15689061C22semidirect
75. #15689010C22semidirect
76. #15689010C22semidirect
77. #15689010C22semidirect
78. #15689009C22semidirect
79. #15689009C22semidirect
80. #15689009C22semidirect
81. #15689008C22semidirect
82. #15689008C22semidirect
83. #15689008C22semidirect
84. #15689007C22semidirect
85. #15689007C22semidirect
86. #15689007C22semidirect
87. #15689006C22semidirect
88. #15689006C22semidirect
89. #15689006C22semidirect
90. #15689005C22semidirect
91. #15689005C22semidirect
92. #15689005C22semidirect
93. #15689004C22semidirect
94. #15689004C22semidirect
95. #15689004C22semidirect
110. #15688991C22semidirect
111. #15688990C22semidirect
112. #15688990C22semidirect
113. #15688990C22semidirect
114. #15688990C22semidirect
115. #15688990C22semidirect
116. #15688990C22semidirect
172. C47×#401C22semidirect
173. C47×#400C22semidirect
174. C47×#400C22semidirect
175. C47×#400C22semidirect
176. C47×#387C22semidirect
177. C47×#387C22semidirect
178. C47×#387C22semidirect
181. C47×#383C22semidirect
742. #2493D47direct (N × H)
767. D47#2493direct (N × H)
790. #401C2×D47semidirect
812. #400C2×D47semidirect
813. #400C2×D47semidirect
814. #400C2×D47semidirect
836. #387C2×D47semidirect
837. #387C2×D47semidirect
838. #387C2×D47semidirect
862. #383C2×D47semidirect
923. C47C2×#2493semidirect

Maximal subgroups

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

subgroupindex
#202477802
#202477792
#202477782
#202477772
#202477762
#202477752
#202477742
#202477732
#202477722
#202477712
#202477702
#202477692
#202477682
#202477672
#202477662
#401×D472
#400×D472
#387×D472
#385×D472
#383×D472
#381×D472
#380×D472
C4×C22⋊C4×D472
C2×#95×D472
C47×#24932
C2×#249347