Finite Group Databasebeta

← D47×#2510 #26385252

Subgroups — D47×#2510 #26385252

Order 12032.

2658 conjugacy classes of subgroups.

The subgroup lattice has 1610 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20247955C211yesmaximal, characteristic, complemented
2#20247954C211yesmaximal, characteristic, complemented
3#20247953C211yesmaximal, characteristic, complemented
4#20247952C211yesmaximal, characteristic, complemented
5#20247951C211yesmaximal, characteristic, complemented
6#20247950C211yesmaximal, characteristic, complemented
7#20247949C211yesmaximal, characteristic, complemented
8#20247948C211yesmaximal, characteristic, complemented
9#20247947C211yesmaximal, characteristic, complemented
10#20247946C211yesmaximal, characteristic, complemented
11#20247945C211yesmaximal, characteristic, complemented
12#20247944C211yesmaximal, characteristic, complemented
13#20247943C211yesmaximal, characteristic, complemented
14#20247942C211yesmaximal, characteristic, complemented
15#20247941C211yesmaximal, characteristic, complemented
16#401×D47C211yesmaximal, characteristic, complemented
17#400×D47C211yesmaximal, characteristic, complemented
18#397×D47C211yesmaximal, characteristic, complemented
19#397×D47C211yesmaximal, characteristic, complemented
20#388×D47C211yesmaximal, characteristic, complemented
21#388×D47C211yesmaximal, characteristic, complemented
22#387×D47C211yesmaximal, characteristic, complemented
23#386×D47C211yesmaximal, characteristic
24#386×D47C211yesmaximal, characteristic
25#386×D47C211yesmaximal, characteristic
26#385×D47C211yesmaximal, characteristic, complemented
27#383×D47C211yesmaximal, characteristic, complemented
28#380×D47C211yesmaximal, characteristic, complemented
29C4×C22⋊C4×D47C211yesmaximal, characteristic, complemented
30C2×#95×D47C211yesmaximal, characteristic, complemented
31C47×#2510C211yesmaximal, characteristic, complemented
32C22×D4×D47C2211yescharacteristic
33C23×C4×D47C2211yescharacteristic
34C23×C4×D47C2211yescharacteristic
35C23×C4×D47C2211yescharacteristic
36C2×C4⋊C4×D47C2211yescharacteristic
37C2×C4⋊C4×D47C2211yescharacteristic
38C2×C4⋊C4×D47C2211yescharacteristic
39C2×C4⋊C4×D47C2211yescharacteristic
40C2×C22⋊C4×D47C2211yescharacteristic
41C2×C22⋊C4×D47C2211yescharacteristic
42C2×C22⋊C4×D47C2211yescharacteristic
43C2×C22⋊C4×D47C2211yescharacteristic
44C2×C22⋊C4×D47C2211yescharacteristic
45C2×C22⋊C4×D47C2211yescharacteristic
46C2×C22⋊C4×D47C2211yescharacteristic
47C2×C22⋊C4×D47C2211yescharacteristic
48C2×C22⋊C4×D47C2211yescharacteristic
49C2×C42×D47C2211yescharacteristic
50C2×C42×D47C2211yescharacteristic
51C47⋊#401C2211yescharacteristic, complemented
52C47⋊#401C2211yescharacteristic, complemented
53C47⋊#401C2211yescharacteristic, complemented
54C47⋊#401C2211yescharacteristic, complemented
55C47⋊#401C2211yescharacteristic, complemented
56C47⋊#401C2211yescharacteristic, complemented
57C47⋊#401C2211yescharacteristic, complemented
58#15689065C2211yescharacteristic, complemented
59#15689065C2211yescharacteristic, complemented
60#15689064C2211yescharacteristic, complemented
61#15689064C2211yescharacteristic, complemented
62#15689063C2211yescharacteristic, complemented
63#15689062C2211yescharacteristic, complemented
64#15689061C2211yescharacteristic, complemented
65#15689052C2211yescharacteristic, complemented
66#15689052C2211yescharacteristic, complemented
67#15689052C2211yescharacteristic, complemented
68#15689052C2211yescharacteristic, complemented
69#15689051C2211yescharacteristic, complemented
70#15689051C2211yescharacteristic, complemented
71#15689051C2211yescharacteristic, complemented
72#15689051C2211yescharacteristic, complemented
73#15689050C2211yescharacteristic, complemented
74#15689050C2211yescharacteristic, complemented
75#15689049C2211yescharacteristic, complemented
76#15689049C2211yescharacteristic, complemented
77#15689048C2211yescharacteristic, complemented
78#15689048C2211yescharacteristic, complemented
79#15689017C2211yescharacteristic, complemented
80#15689017C2211yescharacteristic, complemented
81#15689016C2211yescharacteristic, complemented
82#15689016C2211yescharacteristic, complemented
83#15689015C2211yescharacteristic, complemented
84#15689015C2211yescharacteristic, complemented
85#15689014C2211yescharacteristic, complemented
86#15689014C2211yescharacteristic, complemented
87#15689013C2211yescharacteristic, complemented
88#15689013C2211yescharacteristic, complemented
89#15689012C2211yescharacteristic, complemented
90#15689012C2211yescharacteristic, complemented
91#15689011C2211yescharacteristic, complemented
92#15689011C2211yescharacteristic, complemented
93#15689010C2211yescharacteristic, complemented
94#15689009C2211yescharacteristic, complemented
95#15689008C2211yescharacteristic, complemented
96#15689007C2211yescharacteristic, complemented
97#15689006C2211yescharacteristic, complemented
98#15689005C2211yescharacteristic, complemented
99#15689004C2211yescharacteristic, complemented
100#15689003C2211yescharacteristic
101#15689003C2211yescharacteristic
102#15689003C2211yescharacteristic
103#15689002C2211yescharacteristic
104#15689002C2211yescharacteristic
105#15689002C2211yescharacteristic
106#15689001C2211yescharacteristic
107#15689001C2211yescharacteristic
108#15689001C2211yescharacteristic
109#15689001C2211yescharacteristic
110#15689001C2211yescharacteristic
111#15689001C2211yescharacteristic
112#15689000C2211yescharacteristic
113#15689000C2211yescharacteristic
114#15689000C2211yescharacteristic
115#15688999C2211yescharacteristic
116#15688999C2211yescharacteristic
117#15688999C2211yescharacteristic
118#15688999C2211yescharacteristic
119#15688999C2211yescharacteristic
120#15688999C2211yescharacteristic
121#15688998C2211yescharacteristic, complemented
122#15688997C2211yescharacteristic, complemented
123#15688997C2211yescharacteristic, complemented
124#15688996C2211yescharacteristic, complemented
125#15688995C2211yescharacteristic, complemented
126#15688994C2211yescharacteristic, complemented
127#15688994C2211yescharacteristic, complemented
128#15688991C2211yescharacteristic, complemented
129#15688990C2211yescharacteristic, complemented
130#15688990C2211yescharacteristic, complemented
131#15688990C2211yescharacteristic, complemented
132#15688990C2211yescharacteristic, complemented
133#15688990C2211yescharacteristic, complemented
134#15688990C2211yescharacteristic, complemented
135#15688983C2211yescharacteristic, complemented
136#15688982C2211yescharacteristic, complemented
137#15688982C2211yescharacteristic, complemented
138#15688981C2211yescharacteristic, complemented
139#15688981C2211yescharacteristic, complemented
140#15688980C2211yescharacteristic, complemented
141#15688980C2211yescharacteristic, complemented
142C22⋊C4×Dic47C2211yescharacteristic, complemented
143C22⋊C4×Dic47C2211yescharacteristic, complemented
144C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
145C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
146C4×C22⋊Dic47C2211yescharacteristic, complemented
147#15688970C2211yescharacteristic, complemented
148#15688970C2211yescharacteristic, complemented
149C2×C47⋊#95C2211yescharacteristic, complemented
150C2×C47⋊#95C2211yescharacteristic, complemented
151C2×C47⋊#95C2211yescharacteristic, complemented
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, complemented
169#95×D47C2211yescharacteristic, complemented
170#95×D47C2211yescharacteristic, complemented
171#95×D47C2211yescharacteristic, complemented
172C47×#401C2211yescharacteristic, complemented
173C47×#400C2211yescharacteristic, complemented
174C47×#397C2211yescharacteristic, complemented
175C47×#397C2211yescharacteristic, complemented
176C47×#388C2211yescharacteristic, complemented
177C47×#388C2211yescharacteristic, complemented
178C47×#387C2211yescharacteristic, complemented
179C47×#386C2211yescharacteristic
180C47×#386C2211yescharacteristic
181C47×#386C2211yescharacteristic
182C47×#385C2211yescharacteristic, complemented
183C47×#383C2211yescharacteristic, complemented
184C47×#380C2211yescharacteristic, complemented
185C4×C22⋊C4×C47C2211yescharacteristic, complemented
186C2×#95×C47C2211yescharacteristic, complemented
187C24×D47C2311yescharacteristic
188C24×D47C2311yescharacteristic
189C22×D188C2311yescharacteristic
190C22×C22⋊D47C2311yescharacteristic
191C22×C22⋊D47C2311yescharacteristic
192C2×D4×D47—24no—
193C2×D4×D47—24no—
194C2×D4×D47—24no—
195C23×Dic47C2311yescharacteristic
196C23×Dic47C2311yescharacteristic
197C23×Dic47C2311yescharacteristic
198C22×C4×D47—24no—
199C22×C4×D47—24no—
200C22×C4×D47—24no—
201C22×C4×D47—24no—
202C22×C4×D47—24no—
203C22×C4×D47—42no—
204C22×C4×D47—42no—
205C22×C4×D47—42no—
206C22×C4×D47—42no—
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
220C22×C4×D47C2311yescharacteristic
221C22×C4×D47C2311yescharacteristic
222C22×C4×D47C2311yescharacteristic
223C22×C4×D47C2311yescharacteristic
224C22×C4×D47C2311yescharacteristic
225C22×C4×D47C2311yescharacteristic
226C2×C4⋊Dic47C2311yescharacteristic
227C2×C4⋊Dic47C2311yescharacteristic
228C2×C4⋊Dic47C2311yescharacteristic
229C2×C4⋊Dic47C2311yescharacteristic
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—42no—
240C4⋊C4×D47—42no—
241C4⋊C4×D47—42no—
242C2×C22⋊Dic47C2311yescharacteristic
243C2×C22⋊Dic47C2311yescharacteristic
244C2×C22⋊Dic47C2311yescharacteristic
245C2×C22⋊Dic47C2311yescharacteristic
246C2×C22⋊Dic47C2311yescharacteristic
247C2×C22⋊Dic47C2311yescharacteristic
248C2×C22⋊Dic47C2311yescharacteristic
249C2×C22⋊Dic47C2311yescharacteristic
250C2×C22⋊Dic47C2311yescharacteristic
251C2×(C2×D47)⋊C4C2311yescharacteristic
252C2×(C2×D47)⋊C4C2311yescharacteristic
253C2×(C2×D47)⋊C4C2311yescharacteristic
254C2×(C2×D47)⋊C4C2311yescharacteristic
255C2×(C2×D47)⋊C4C2311yescharacteristic
256C2×(C2×D47)⋊C4C2311yescharacteristic
257C2×(C2×D47)⋊C4C2311yescharacteristic
258C2×(C2×D47)⋊C4C2311yescharacteristic
259C2×(C2×D47)⋊C4C2311yescharacteristic
260C2×(C2×D47)⋊C4C2311yescharacteristic
261C2×(C2×D47)⋊C4C2311yescharacteristic
262C2×(C2×D47)⋊C4C2311yescharacteristic
263C2×(C2×D47)⋊C4C2311yescharacteristic
264C2×(C2×D47)⋊C4C2311yescharacteristic
265C2×(C2×D47)⋊C4C2311yescharacteristic
266C2×(C2×D47)⋊C4C2311yescharacteristic
267C2×(C2×D47)⋊C4C2311yescharacteristic
268C2×(C2×D47)⋊C4C2311yescharacteristic
269C22⋊C4×D47—24no—
270C22⋊C4×D47—24no—
271C22⋊C4×D47—24no—
272C22⋊C4×D47—24no—
273C22⋊C4×D47—24no—
274C22⋊C4×D47—42no—
275C22⋊C4×D47—42no—
276C22⋊C4×D47—42no—
277C22⋊C4×D47—42no—
278C2×C4×Dic47C2311yescharacteristic
279C2×C4×Dic47C2311yescharacteristic
280C2×C4×Dic47C2311yescharacteristic
281C2×C4×Dic47C2311yescharacteristic
282C2×C4×Dic47C2311yescharacteristic
283C2×C4×Dic47C2311yescharacteristic
284C42×D47—24no—
285C42×D47—42no—
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
328C47⋊#95C2311yescharacteristic
329C47⋊#95C2311yescharacteristic
330C47⋊#95C2311yescharacteristic
331C47⋊#95C2311yescharacteristic
332C47⋊#95C2311yescharacteristic
333C47⋊#95C2311yescharacteristic
334C22×D4×C47C2311yescharacteristic
335C23×C4×C47C2311yescharacteristic
336C23×C4×C47C2311yescharacteristic
337C23×C4×C47C2311yescharacteristic
338C2×C4⋊C4×C47C2311yescharacteristic
339C2×C4⋊C4×C47C2311yescharacteristic
340C2×C4⋊C4×C47C2311yescharacteristic
341C2×C4⋊C4×C47C2311yescharacteristic
342C2×C22⋊C4×C47C2311yescharacteristic
343C2×C22⋊C4×C47C2311yescharacteristic
344C2×C22⋊C4×C47C2311yescharacteristic
345C2×C22⋊C4×C47C2311yescharacteristic
346C2×C22⋊C4×C47C2311yescharacteristic
347C2×C22⋊C4×C47C2311yescharacteristic
348C2×C22⋊C4×C47C2311yescharacteristic
349C2×C22⋊C4×C47C2311yescharacteristic
350C2×C22⋊C4×C47C2311yescharacteristic
351C2×C42×C47C2311yescharacteristic
352C2×C42×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
363#95×C47C2311yescharacteristic
364#95×C47C2311yescharacteristic
365#95×C47C2311yescharacteristic
366#95×C47C2311yescharacteristic
367#95×C47C2311yescharacteristic
368#95×C47C2311yescharacteristic
369C24×C47C2411yescharacteristic
370C24×C47C2411yescharacteristic
371C23×D47—22no—
372C23×D47—22no—
373C23×D47—22no—
374C23×D47—22no—
375C23×D47—22no—
376C23×D47—22no—
377C23×D47—22no—
378C23×D47—22no—
379C23×D47—22no—
380C23×D47—22no—
381C23×D47—22no—
382C23×D47#4114yes—
383C23×D47#4114yes—
384C23×D47#4114yes—
385C23×D47C2411yescharacteristic
386C23×D47C2411yescharacteristic
387C23×D47C2411yescharacteristic
388C2×D4×C47—22no—
389C2×D4×C47—22no—
390C2×D4×C47—22no—
391C22×C4×C47—22no—
392C22×C4×C47—22no—
393C22×C4×C47—22no—
394C22×C4×C47—22no—
395C22×C4×C47—22no—
396C22×C4×C47—41no—
397C22×C4×C47—41no—
398C22×C4×C47—41no—
399C22×C4×C47—41no—
400C22×C4×C47C2411yescharacteristic
401C22×C4×C47C2411yescharacteristic
402C22×C4×C47C2411yescharacteristic
403C22×C4×C47C2411yescharacteristic
404C22×C4×C47C2411yescharacteristic
405C22×C4×C47C2411yescharacteristic
406C22×C4×C47C2411yescharacteristic
407C22×C4×C47C2411yescharacteristic
408C22×C4×C47C2411yescharacteristic
409C22×C4×C47C2411yescharacteristic
410C22×C4×C47C2411yescharacteristic
411C22×C4×C47C2411yescharacteristic
412C22×C4×C47C2411yescharacteristic
413C2×C22⋊D47—22no—
414C2×C22⋊D47—22no—
415C2×C22⋊D47—22no—
416C2×C22⋊D47—22no—
417C2×C22⋊D47—22no—
418C2×C22⋊D47—22no—
419C22×Dic47—22no—
420C22×Dic47—22no—
421C22×Dic47—22no—
422C22×Dic47—22no—
423C22×Dic47—22no—
424C22×Dic47—41no—
425C22×Dic47—41no—
426C22×Dic47—41no—
427C22×Dic47—41no—
428C22×Dic47C2411yescharacteristic
429C22×Dic47C2411yescharacteristic
430C22×Dic47C2411yescharacteristic
431C22×Dic47C2411yescharacteristic
432C22×Dic47C2411yescharacteristic
433C22×Dic47C2411yescharacteristic
434C22×Dic47C2411yescharacteristic
435C22×Dic47C2411yescharacteristic
436C22×Dic47C2411yescharacteristic
437C22×Dic47C2411yescharacteristic
438C22×Dic47C2411yescharacteristic
439C22×Dic47C2411yescharacteristic
440C22×Dic47C2411yescharacteristic
441D4×D47—416no—
442C2×D188—22no—
443C2×D188—22no—
444C2×D188—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—22no—
474C2×C4×D47—22no—
475C2×C4×D47—22no—
476C2×C4×D47—22no—
477C2×C4×D47—22no—
478C2×C4×D47—22no—
479C2×C4×D47—22no—
480C2×C4×D47—22no—
481C2×C4×D47—22no—
482C2×C4×D47—22no—
483C2×C4×D47—22no—
484C2×C4×D47—22no—
485C2×C4×D47—22no—
486C2×C4×D47—22no—
487C2×C4×D47—22no—
488C2×C4×D47—22no—
489C2×C4×D47—22no—
490C2×C4×D47—22no—
491C2×C4×D47—22no—
492C2×C4×D47—416no—
493C2×C4×D47—416no—
494C2×C4×D47—41no—
495C2×C4×D47—41no—
496C2×C4×D47—41no—
497C2×C4×D47—41no—
498C2×C4×D47—41no—
499C2×C4×D47—41no—
500C2×C4×D47—41no—
501C2×C4×D47—41no—
502C2×C4×D47—416no—
503C2×C4×D47#4114yes—
504C2×C4×D47#4114yes—
505C4⋊C4×C47—22no—
506C4⋊C4×C47—41no—
507C4⋊C4×C47—41no—
508C4⋊C4×C47—41no—
509C22⋊C4×C47—22no—
510C22⋊C4×C47—22no—
511C22⋊C4×C47—22no—
512C22⋊C4×C47—22no—
513C22⋊C4×C47—22no—
514C22⋊C4×C47—41no—
515C22⋊C4×C47—41no—
516C22⋊C4×C47—41no—
517C22⋊C4×C47—41no—
518C42×C47—22no—
519C42×C47—41no—
520C22⋊Dic47—22no—
521C22⋊Dic47—22no—
522C22⋊Dic47—22no—
523C22⋊Dic47—22no—
524C22⋊Dic47—22no—
525C22⋊Dic47—41no—
526C22⋊Dic47—41no—
527C22⋊Dic47—41no—
528C22⋊Dic47—41no—
529(C2×D47)⋊C4—22no—
530(C2×D47)⋊C4—22no—
531(C2×D47)⋊C4—22no—
532(C2×D47)⋊C4—22no—
533(C2×D47)⋊C4—22no—
534(C2×D47)⋊C4—22no—
535(C2×D47)⋊C4—22no—
536(C2×D47)⋊C4—22no—
537(C2×D47)⋊C4—22no—
538(C2×D47)⋊C4—22no—
539(C2×D47)⋊C4—41no—
540(C2×D47)⋊C4—41no—
541(C2×D47)⋊C4—41no—
542(C2×D47)⋊C4—41no—
543(C2×D47)⋊C4—41no—
544(C2×D47)⋊C4—41no—
545(C2×D47)⋊C4—41no—
546(C2×D47)⋊C4—41no—
547C4⋊Dic47—22no—
548C4⋊Dic47—41no—
549C4⋊Dic47—41no—
550C4⋊Dic47—41no—
551Dic47⋊C4—22no—
552Dic47⋊C4—22no—
553Dic47⋊C4—41no—
554Dic47⋊C4—41no—
555Dic47⋊C4—41no—
556Dic47⋊C4—41no—
557Dic47⋊C4—41no—
558Dic47⋊C4—41no—
559C4×Dic47—22no—
560C4×Dic47—22no—
561C4×Dic47—22no—
562C4×Dic47—41no—
563C4×Dic47—41no—
564C4×Dic47—41no—
565C23×C47—21no—
566C23×C47—21no—
567C23×C47—21no—
568C23×C47—21no—
569C23×C47—21no—
570C23×C47—21no—
571C23×C47—21no—
572C23×C47—21no—
573C23×C47—21no—
574C23×C47—21no—
575C23×C47—21no—
576C23×C47C2×#4112yes—
577C23×C47C2×#4112yes—
578C23×C47C2×#4112yes—
579C23×C47C2511yescharacteristic
580C22×D47—21no—
581C22×D47—21no—
582C22×D47—21no—
583C22×D47—21no—
584C22×D47—28no—
585C22×D47—28no—
586C22×D47—28no—
587C22×D47—28no—
588C22×D47—28no—
589C22×D47—28no—
590C22×D47—21no—
591C22×D47—21no—
592C22×D47—21no—
593C22×D47—21no—
594C22×D47—21no—
595C22×D47—21no—
596C22×D47—21no—
597C22×D47—44no—
598C22×D47—44no—
599C22×D47—44no—
600C22×D47—44no—
601C22×D47—44no—
602C22×D47—44no—
603C22×D47—44no—
604C22×D47#126116yes—
605C22×D47C2×#4112yes—
606C22×D47C2×#4112yes—
607C22×D47C2×#4112yes—
608C22×D47C2×#4112yes—
609C22×D47C2×#4112yes—
610C22×D47C2×#4112yes—
611C22×D47C2×#4112yes—
612C22×D47C2×#4112yes—
613C22×D47H(5,𝔽2)12yes—
614C22×D47H(5,𝔽2)12yes—
615D4×C47—44no—
616C2×C4×C47—21no—
617C2×C4×C47—21no—
618C2×C4×C47—21no—
619C2×C4×C47—21no—
620C2×C4×C47—21no—
621C2×C4×C47—21no—
622C2×C4×C47—21no—
623C2×C4×C47—21no—
624C2×C4×C47—21no—
625C2×C4×C47—21no—
626C2×C4×C47—21no—
627C2×C4×C47—21no—
628C2×C4×C47—21no—
629C2×C4×C47—21no—
630C2×C4×C47—21no—
631C2×C4×C47—21no—
632C2×C4×C47—21no—
633C2×C4×C47—21no—
634C2×C4×C47—21no—
635C2×C4×C47—21no—
636C2×C4×C47—21no—
637C2×C4×C47—21no—
638C2×C4×C47—21no—
639C2×C4×C47—21no—
640C2×C4×C47—21no—
641C2×C4×C47—21no—
642C2×C4×C47—21no—
643C2×C4×C47—21no—
644C2×C4×C47—21no—
645C2×C4×C47—21no—
646C2×C4×C47—21no—
647C2×C4×C47—21no—
648C2×C4×C47—21no—
649C2×C4×C47—21no—
650C2×C4×C47—21no—
651C2×C4×C47—21no—
652C2×C4×C47—21no—
653C2×C4×C47—44no—
654C2×C4×C47—44no—
655C2×C4×C47—44no—
656C2×C4×C47C2×#4112yes—
657C2×C4×C47C2×#4112yes—
658C22⋊D47—44no—
659C22⋊D47—44no—
660C2×Dic47—21no—
661C2×Dic47—21no—
662C2×Dic47—21no—
663C2×Dic47—21no—
664C2×Dic47—21no—
665C2×Dic47—21no—
666C2×Dic47—21no—
667C2×Dic47—21no—
668C2×Dic47—21no—
669C2×Dic47—21no—
670C2×Dic47—21no—
671C2×Dic47—21no—
672C2×Dic47—21no—
673C2×Dic47—21no—
674C2×Dic47—21no—
675C2×Dic47—21no—
676C2×Dic47—21no—
677C2×Dic47—21no—
678C2×Dic47—21no—
679C2×Dic47—21no—
680C2×Dic47—21no—
681C2×Dic47—21no—
682C2×Dic47—21no—
683C2×Dic47—21no—
684C2×Dic47—21no—
685C2×Dic47—21no—
686C2×Dic47—21no—
687C2×Dic47—21no—
688C2×Dic47—21no—
689C2×Dic47—21no—
690C2×Dic47—21no—
691C2×Dic47—21no—
692C2×Dic47—21no—
693C2×Dic47—21no—
694C2×Dic47—21no—
695C2×Dic47—21no—
696C2×Dic47—21no—
697C2×Dic47—44no—
698C2×Dic47—44no—
699C2×Dic47—44no—
700C2×Dic47C2×#4112yes—
701C2×Dic47C2×#4112yes—
702D188—44no—
703C4×D47—28no—
704C4×D47—28no—
705C4×D47—44no—
706C4×D47—44no—
707C4×D47—44no—
708C4×D47—44no—
709C4×D47—44no—
710C4×D47—44no—
711C4×D47—44no—
712C4×D47—44no—
713C4×D47—44no—
714C4×D47—44no—
715C4×D47—44no—
716C4×D47—44no—
717C4×D47—44no—
718C4×D47—44no—
719C4×D47—44no—
720C4×D47—44no—
721C4×D47—44no—
722C2×#2510—471nomaximal, Sylow
723C22×C47—22no—
724C22×C47—22no—
725C22×C47—22no—
726C22×C47—22no—
727C22×C47—22no—
728C22×C47—22no—
729C22×C47—41no—
730C22×C47—41no—
731C22×C47—41no—
732C22×C47—41no—
733C22×C47—41no—
734C22×C47—41no—
735C22×C47—41no—
736C22×C47C2×#12614yes—
737C22×C47C22×#4111yescharacteristic
738C22×C47C22×#4111yescharacteristic
739C22×C47C22×#4111yescharacteristic
740C22×C47C22×#4111yescharacteristic
741C22×C47C22×#4111yescharacteristic
742C22×C47C2×H(5,𝔽2)11yescharacteristic
743C22×C47C2×H(5,𝔽2)11yescharacteristic
744C2×D47—22no—
745C2×D47—22no—
746C2×D47—22no—
747C2×D47—22no—
748C2×D47—22no—
749C2×D47—22no—
750C2×D47—232no—
751C2×D47—41no—
752C2×D47—41no—
753C2×D47—41no—
754C2×D47—41no—
755C2×D47—41no—
756C2×D47—41no—
757C2×D47—41no—
758C2×D47—88no—
759C2×D47C2×#12614yes—
760C2×D47C2×#12614yes—
761C2×D47#52914yes—
762C2×D47#53814yes—
763C2×D47#55114yes—
764C2×D47#55114yes—
765C2×D47#55314yes—
766C2×D47#55314yes—
767C4×C47—22no—
768C4×C47—22no—
769C4×C47—41no—
770C4×C47—41no—
771C4×C47—41no—
772C4×C47—41no—
773C4×C47—41no—
774C4×C47—41no—
775C4×C47—41no—
776C4×C47—41no—
777C4×C47—41no—
778C4×C47—41no—
779C4×C47—41no—
780Dic47—22no—
781Dic47—22no—
782Dic47—41no—
783Dic47—41no—
784Dic47—41no—
785Dic47—41no—
786Dic47—41no—
787Dic47—41no—
788Dic47—41no—
789Dic47—41no—
790Dic47—41no—
791Dic47—41no—
792Dic47—41no—
793#2510—471no—
794#2510—471no—
795#2510—471no—
796#2510—471no—
797#2510—471no—
798#2510—471no—
799#2510—471no—
800#2510—471no—
801#2510—471no—
802#2510—471no—
803#2510—471no—
804#2510—471no—
805#2510—471no—
806#2510—471no—
807#2510—471no—
808#2510D4711yescharacteristic, direct product factor
809C2×#401—471no—
810C2×#400—471no—
811C2×#397—471no—
812C2×#397—471no—
813C2×#388—471no—
814C2×#388—471no—
815C2×#387—471no—
816C2×#386—471no—
817C2×#386—471no—
818C2×#386—471no—
819C2×#385—471no—
820C2×#383—471no—
821C2×#380—471no—
822C2×C4×C22⋊C4—471no—
823C22×#95—471no—
824C2×C47—24no—
825C2×C47—81no—
826C2×C47C22×#12611yescharacteristic
827C2×C47C2×#52911yescharacteristic
828C2×C47C2×#53811yescharacteristic
829C2×C47C2×#55111yescharacteristic
830C2×C47C2×#55111yescharacteristic
831C2×C47C2×#55311yescharacteristic
832C2×C47C2×#55311yescharacteristic
833D47—24no—
834D47—81no—
835D47#251018yesdirect product factor
836C23×D4—471no—
837C24×C4—471no—
838C24×C4—471no—
839C24×C4—471no—
840C22×C4⋊C4—471no—
841C22×C4⋊C4—471no—
842C22×C4⋊C4—471no—
843C22×C4⋊C4—471no—
844C22×C22⋊C4—471no—
845C22×C22⋊C4—471no—
846C22×C22⋊C4—471no—
847C22×C22⋊C4—471no—
848C22×C22⋊C4—471no—
849C22×C22⋊C4—471no—
850C22×C22⋊C4—471no—
851C22×C22⋊C4—471no—
852C22×C22⋊C4—471no—
853C22×C42—471no—
854C22×C42—471no—
855#401—471no—
856#401—471no—
857#401—471no—
858#401—471no—
859#401—471no—
860#401—471no—
861#401—471no—
862#401C2×D4711yescharacteristic, complemented
863#400—471no—
864#400—471no—
865#400—471no—
866#400—471no—
867#400—471no—
868#400—471no—
869#400—471no—
870#400C2×D4711yescharacteristic, complemented
871#397—471no—
872#397—471no—
873#397—471no—
874#397—471no—
875#397—471no—
876#397—471no—
877#397—471no—
878#397—471no—
879#397—471no—
880#397—471no—
881#397—471no—
882#397—471no—
883#397—471no—
884#397—471no—
885#397C2×D4711yescharacteristic, complemented
886#397C2×D4711yescharacteristic, complemented
887#388—471no—
888#388—471no—
889#388—471no—
890#388—471no—
891#388—471no—
892#388—471no—
893#388—471no—
894#388—471no—
895#388—471no—
896#388—471no—
897#388—471no—
898#388—471no—
899#388—471no—
900#388—471no—
901#388C2×D4711yescharacteristic, complemented
902#388C2×D4711yescharacteristic, complemented
903#387—471no—
904#387—471no—
905#387—471no—
906#387—471no—
907#387—471no—
908#387—471no—
909#387—471no—
910#387C2×D4711yescharacteristic, complemented
911#386—471no—
912#386—471no—
913#386—471no—
914#386—471no—
915#386—471no—
916#386—471no—
917#386—471no—
918#386—471no—
919#386—471no—
920#386—471no—
921#386—471no—
922#386—471no—
923#386—471no—
924#386—471no—
925#386—471no—
926#386—471no—
927#386—471no—
928#386—471no—
929#386—471no—
930#386—471no—
931#386—471no—
932#386C2×D4711yescharacteristic
933#386C2×D4711yescharacteristic
934#386C2×D4711yescharacteristic
935#385—471no—
936#385—471no—
937#385—471no—
938#385—471no—
939#385—471no—
940#385—471no—
941#385—471no—
942#385C2×D4711yescharacteristic, complemented
943#383—471no—
944#383—471no—
945#383—471no—
946#383—471no—
947#383—471no—
948#383—471no—
949#383—471no—
950#383C2×D4711yescharacteristic, complemented
951#380—471no—
952#380—471no—
953#380—471no—
954#380—471no—
955#380—471no—
956#380—471no—
957#380—471no—
958#380C2×D4711yescharacteristic, complemented
959C4×C22⋊C4—471no—
960C4×C22⋊C4—471no—
961C4×C22⋊C4—471no—
962C4×C22⋊C4—471no—
963C4×C22⋊C4—471no—
964C4×C22⋊C4—471no—
965C4×C22⋊C4—471no—
966C4×C22⋊C4C2×D4711yescharacteristic, complemented
967C2×#95—471no—
968C2×#95—471no—
969C2×#95—471no—
970C2×#95—471no—
971C2×#95—471no—
972C2×#95—471no—
973C2×#95—471no—
974C2×#95—471no—
975C2×#95—471no—
976C2×#95—471no—
977C2×#95—471no—
978C2×#95—471no—
979C2×#95—471no—
980C2×#95—471no—
981C2×#95—471no—
982C2×#95—471no—
983C2×#95—471no—
984C2×#95—471no—
985C2×#95—471no—
986C2×#95—471no—
987C2×#95—471no—
988C2×#95—471no—
989C2×#95—471no—
990C2×#95C2×D4711yescharacteristic, complemented
991C47C2×#251011yescharacteristic, complemented, Sylow
992C25—471no—
993C25—471no—
994C22×D4—471no—
995C22×D4—471no—
996C22×D4—471no—
997C22×D4—944no—
998C22×D4—944no—
999C22×D4—944no—
1000C22×D4C22×D4711yescharacteristic
1001C23×C4—471no—
1002C23×C4—471no—
1003C23×C4—471no—
1004C23×C4—471no—
1005C23×C4—471no—
1006C23×C4—471no—
1007C23×C4—471no—
1008C23×C4—471no—
1009C23×C4—471no—
1010C23×C4—471no—
1011C23×C4—471no—
1012C23×C4—471no—
1013C23×C4—471no—
1014C23×C4—471no—
1015C23×C4—471no—
1016C23×C4—471no—
1017C23×C4—471no—
1018C23×C4—471no—
1019C23×C4—471no—
1020C23×C4—471no—
1021C23×C4—471no—
1022C23×C4—471no—
1023C23×C4—944no—
1024C23×C4—944no—
1025C23×C4—944no—
1026C23×C4—944no—
1027C23×C4—944no—
1028C23×C4—1882no—
1029C23×C4—1882no—
1030C23×C4—1882no—
1031C23×C4—1882no—
1032C23×C4C22×D4711yescharacteristic
1033C23×C4C22×D4711yescharacteristic
1034C23×C4C22×D4711yescharacteristic
1035C2×C4⋊C4—471no—
1036C2×C4⋊C4—471no—
1037C2×C4⋊C4—471no—
1038C2×C4⋊C4—471no—
1039C2×C4⋊C4—471no—
1040C2×C4⋊C4—471no—
1041C2×C4⋊C4—471no—
1042C2×C4⋊C4—471no—
1043C2×C4⋊C4—471no—
1044C2×C4⋊C4—471no—
1045C2×C4⋊C4—471no—
1046C2×C4⋊C4—471no—
1047C2×C4⋊C4—944no—
1048C2×C4⋊C4—1882no—
1049C2×C4⋊C4—1882no—
1050C2×C4⋊C4—1882no—
1051C2×C4⋊C4C22×D4711yescharacteristic
1052C2×C4⋊C4C22×D4711yescharacteristic
1053C2×C4⋊C4C22×D4711yescharacteristic
1054C2×C4⋊C4C22×D4711yescharacteristic
1055C2×C22⋊C4—471no—
1056C2×C22⋊C4—471no—
1057C2×C22⋊C4—471no—
1058C2×C22⋊C4—471no—
1059C2×C22⋊C4—471no—
1060C2×C22⋊C4—471no—
1061C2×C22⋊C4—471no—
1062C2×C22⋊C4—471no—
1063C2×C22⋊C4—471no—
1064C2×C22⋊C4—471no—
1065C2×C22⋊C4—471no—
1066C2×C22⋊C4—471no—
1067C2×C22⋊C4—471no—
1068C2×C22⋊C4—471no—
1069C2×C22⋊C4—471no—
1070C2×C22⋊C4—471no—
1071C2×C22⋊C4—471no—
1072C2×C22⋊C4—471no—
1073C2×C22⋊C4—471no—
1074C2×C22⋊C4—471no—
1075C2×C22⋊C4—471no—
1076C2×C22⋊C4—471no—
1077C2×C22⋊C4—471no—
1078C2×C22⋊C4—471no—
1079C2×C22⋊C4—471no—
1080C2×C22⋊C4—471no—
1081C2×C22⋊C4—471no—
1082C2×C22⋊C4—944no—
1083C2×C22⋊C4—944no—
1084C2×C22⋊C4—944no—
1085C2×C22⋊C4—944no—
1086C2×C22⋊C4—944no—
1087C2×C22⋊C4—1882no—
1088C2×C22⋊C4—1882no—
1089C2×C22⋊C4—1882no—
1090C2×C22⋊C4—1882no—
1091C2×C22⋊C4C22×D4711yescharacteristic
1092C2×C22⋊C4C22×D4711yescharacteristic
1093C2×C22⋊C4C22×D4711yescharacteristic
1094C2×C22⋊C4C22×D4711yescharacteristic
1095C2×C22⋊C4C22×D4711yescharacteristic
1096C2×C22⋊C4C22×D4711yescharacteristic
1097C2×C22⋊C4C22×D4711yescharacteristic
1098C2×C22⋊C4C22×D4711yescharacteristic
1099C2×C22⋊C4C22×D4711yescharacteristic
1100C2×C42—471no—
1101C2×C42—471no—
1102C2×C42—471no—
1103C2×C42—471no—
1104C2×C42—471no—
1105C2×C42—471no—
1106C2×C42—944no—
1107C2×C42—1882no—
1108C2×C42C22×D4711yescharacteristic
1109C2×C42C22×D4711yescharacteristic
1110#95—471no—
1111#95—471no—
1112#95—471no—
1113#95—471no—
1114#95—471no—
1115#95—471no—
1116#95—471no—
1117#95—471no—
1118#95—471no—
1119#95—471no—
1120#95—471no—
1121#95—471no—
1122#95—471no—
1123#95—471no—
1124#95—471no—
1125#95—471no—
1126#95—471no—
1127#95—471no—
1128#95—471no—
1129#95—471no—
1130#95—471no—
1131#95—471no—
1132#95—471no—
1133#95—471no—
1134#95—471no—
1135#95—471no—
1136#95—471no—
1137#95—471no—
1138#95—471no—
1139#95—471no—
1140#95—471no—
1141#95—471no—
1142#95—471no—
1143#95—471no—
1144#95—471no—
1145#95—471no—
1146#95—471no—
1147#95—471no—
1148#95—471no—
1149#95—471no—
1150#95—471no—
1151#95—471no—
1152#95—471no—
1153#95—471no—
1154#95—471no—
1155#95—471no—
1156#95—471no—
1157#95—471no—
1158#95C22×D4711yescharacteristic
1159#95C22×D4711yescharacteristic
1160#95C22×D4711yescharacteristic
1161#95C22×D4711yescharacteristic
1162#95C22×D4711yescharacteristic
1163#95C22×D4711yescharacteristic
1164#95C22×D4711yescharacteristic
1165#95C22×D4711yescharacteristic
1166#95C22×D4711yescharacteristic
1167#95C22×D4711yescharacteristic
1168#95C22×D4711yescharacteristic
1169#95C22×D4711yescharacteristic
1170#95C22×D4711yescharacteristic
1171#95C22×D4711yescharacteristic
1172#95C22×D4711yescharacteristic
1173#95C22×D4711yescharacteristic
1174C24—471no—
1175C24—474no—
1176C24—474no—
1177C24—474no—
1178C24—471no—
1179C24—471no—
1180C24—942no—
1181C24—942no—
1182C24—942no—
1183C24—942no—
1184C24—942no—
1185C24—942no—
1186C24—942no—
1187C24—942no—
1188C24—942no—
1189C24—942no—
1190C24—942no—
1191C24C23×D4711yescharacteristic
1192C24C23×D4711yescharacteristic
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—942no—
1197C2×D4—942no—
1198C2×D4—942no—
1199C2×D4—942no—
1200C2×D4—942no—
1201C2×D4—942no—
1202C2×D4—942no—
1203C2×D4—942no—
1204C2×D4—942no—
1205C2×D4—18816no—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—22no—
1210C22×C4—22no—
1211C22×C4—41no—
1212C22×C4—41no—
1213C22×C4—41no—
1214C22×C4—41no—
1215C22×C4—471no—
1216C22×C4—471no—
1217C22×C4—474no—
1218C22×C4—474no—
1219C22×C4—471no—
1220C22×C4—471no—
1221C22×C4—471no—
1222C22×C4—471no—
1223C22×C4—471no—
1224C22×C4—471no—
1225C22×C4—471no—
1226C22×C4—471no—
1227C22×C4—471no—
1228C22×C4—471no—
1229C22×C4—471no—
1230C22×C4—942no—
1231C22×C4—942no—
1232C22×C4—942no—
1233C22×C4—942no—
1234C22×C4—942no—
1235C22×C4—942no—
1236C22×C4—942no—
1237C22×C4—942no—
1238C22×C4—942no—
1239C22×C4—942no—
1240C22×C4—942no—
1241C22×C4—942no—
1242C22×C4—942no—
1243C22×C4—942no—
1244C22×C4—942no—
1245C22×C4—942no—
1246C22×C4—942no—
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—
1259C22×C4—942no—
1260C22×C4—942no—
1261C22×C4—942no—
1262C22×C4—942no—
1263C22×C4—942no—
1264C22×C4—942no—
1265C22×C4—942no—
1266C22×C4—942no—
1267C22×C4—942no—
1268C22×C4—942no—
1269C22×C4—942no—
1270C22×C4—942no—
1271C22×C4—942no—
1272C22×C4—942no—
1273C22×C4—942no—
1274C22×C4—942no—
1275C22×C4—942no—
1276C22×C4—942no—
1277C22×C4—942no—
1278C22×C4—942no—
1279C22×C4—942no—
1280C22×C4—942no—
1281C22×C4—942no—
1282C22×C4—1881no—
1283C22×C4—1881no—
1284C22×C4—1881no—
1285C22×C4—1881no—
1286C22×C4—1881no—
1287C22×C4—1881no—
1288C22×C4—1881no—
1289C22×C4—1881no—
1290C22×C4—18816no—
1291C22×C4—18816no—
1292C22×C4—18816no—
1293C22×C4—1881no—
1294C22×C4—1881no—
1295C22×C4—1881no—
1296C22×C4—1881no—
1297C22×C4C23×D4711yescharacteristic
1298C22×C4C23×D4711yescharacteristic
1299C22×C4C23×D4711yescharacteristic
1300C22×C4C23×D4711yescharacteristic
1301C22×C4C23×D4711yescharacteristic
1302C22×C4C23×D4711yescharacteristic
1303C22×C4C23×D4711yescharacteristic
1304C22×C4C23×D4711yescharacteristic
1305C22×C4C23×D4711yescharacteristic
1306C22×C4C23×D4711yescharacteristic
1307C22×C4C23×D4711yescharacteristic
1308C22×C4C23×D4711yescharacteristic
1309C22×C4C23×D4711yescharacteristic
1310C4⋊C4—22no—
1311C4⋊C4—41no—
1312C4⋊C4—41no—
1313C4⋊C4—41no—
1314C4⋊C4—942no—
1315C4⋊C4—942no—
1316C4⋊C4—942no—
1317C4⋊C4—1881no—
1318C4⋊C4—1881no—
1319C4⋊C4—1881no—
1320C4⋊C4—1881no—
1321C4⋊C4—1881no—
1322C4⋊C4—1881no—
1323C4⋊C4—1881no—
1324C4⋊C4—1881no—
1325C4⋊C4—1881no—
1326C22⋊C4—22no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—942no—
1336C22⋊C4—942no—
1337C22⋊C4—942no—
1338C22⋊C4—942no—
1339C22⋊C4—942no—
1340C22⋊C4—942no—
1341C22⋊C4—942no—
1342C22⋊C4—942no—
1343C22⋊C4—942no—
1344C22⋊C4—942no—
1345C22⋊C4—942no—
1346C22⋊C4—942no—
1347C22⋊C4—942no—
1348C22⋊C4—942no—
1349C22⋊C4—942no—
1350C22⋊C4—1881no—
1351C22⋊C4—1881no—
1352C22⋊C4—1881no—
1353C22⋊C4—1881no—
1354C22⋊C4—1881no—
1355C22⋊C4—1881no—
1356C22⋊C4—1881no—
1357C22⋊C4—1881no—
1358C22⋊C4—1881no—
1359C22⋊C4—1881no—
1360C22⋊C4—1881no—
1361C22⋊C4—1881no—
1362C42—22no—
1363C42—41no—
1364C42—942no—
1365C42—942no—
1366C42—942no—
1367C42—1881no—
1368C42—1881no—
1369C42—1881no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—472no—
1382C23—472no—
1383C23—472no—
1384C23—472no—
1385C23—472no—
1386C23—472no—
1387C23—472no—
1388C23—4716no—
1389C23—472no—
1390C23—472no—
1391C23—472no—
1392C23—948no—
1393C23—948no—
1394C23—948no—
1395C23—948no—
1396C23—948no—
1397C23—948no—
1398C23—941no—
1399C23—941no—
1400C23—941no—
1401C23—941no—
1402C23—941no—
1403C23—941no—
1404C23—941no—
1405C23—941no—
1406C23—941no—
1407C23—941no—
1408C23—941no—
1409C23—1884no—
1410C23—1884no—
1411C23—1884no—
1412C23—1884no—
1413C23—1884no—
1414C23—1884no—
1415C23—1884no—
1416C23#41×D4712yes—
1417C23#41×D4712yes—
1418C23#41×D4712yes—
1419C23C24×D4711yescharacteristic
1420D4—44no—
1421D4—1884no—
1422D4—1884no—
1423D4—1884no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—44no—
1462C2×C4—44no—
1463C2×C4—44no—
1464C2×C4—472no—
1465C2×C4—472no—
1466C2×C4—948no—
1467C2×C4—948no—
1468C2×C4—941no—
1469C2×C4—941no—
1470C2×C4—941no—
1471C2×C4—941no—
1472C2×C4—941no—
1473C2×C4—941no—
1474C2×C4—941no—
1475C2×C4—941no—
1476C2×C4—941no—
1477C2×C4—941no—
1478C2×C4—941no—
1479C2×C4—941no—
1480C2×C4—941no—
1481C2×C4—941no—
1482C2×C4—941no—
1483C2×C4—941no—
1484C2×C4—941no—
1485C2×C4—941no—
1486C2×C4—941no—
1487C2×C4—941no—
1488C2×C4—941no—
1489C2×C4—941no—
1490C2×C4—941no—
1491C2×C4—941no—
1492C2×C4—941no—
1493C2×C4—941no—
1494C2×C4—941no—
1495C2×C4—941no—
1496C2×C4—941no—
1497C2×C4—941no—
1498C2×C4—941no—
1499C2×C4—941no—
1500C2×C4—941no—
1501C2×C4—941no—
1502C2×C4—941no—
1503C2×C4—941no—
1504C2×C4—941no—
1505C2×C4—1884no—
1506C2×C4—1884no—
1507C2×C4—1884no—
1508C2×C4—1884no—
1509C2×C4—1884no—
1510C2×C4—1884no—
1511C2×C4—1884no—
1512C2×C4—1884no—
1513C2×C4—1884no—
1514C2×C4—1884no—
1515C2×C4—1884no—
1516C2×C4—1884no—
1517C2×C4—1884no—
1518C2×C4—1884no—
1519C2×C4—1884no—
1520C2×C4—1884no—
1521C2×C4—1884no—
1522C2×C4—1884no—
1523C2×C4—1884no—
1524C2×C4—1884no—
1525C2×C4#41×D4712yes—
1526C2×C4#41×D4712yes—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—22no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—474no—
1541C22—474no—
1542C22—474no—
1543C22—474no—
1544C22—474no—
1545C22—474no—
1546C22—474no—
1547C22—474no—
1548C22—9432no—
1549C22—942no—
1550C22—942no—
1551C22—942no—
1552C22—942no—
1553C22—942no—
1554C22—942no—
1555C22—3768no—
1556C22—1881no—
1557C22—1881no—
1558C22—1881no—
1559C22—1881no—
1560C22—1881no—
1561C22—1881no—
1562C22—1881no—
1563C22#126×D4714yes—
1564C22C2×#41×D4711yescharacteristic
1565C22C2×#41×D4711yescharacteristic
1566C22C2×#41×D4711yescharacteristic
1567C22C2×#41×D4711yescharacteristic
1568C22C2×#41×D4711yescharacteristic
1569C22H(5,𝔽2)×D4711yescharacteristic
1570C22H(5,𝔽2)×D4711yescharacteristic
1571C4—22no—
1572C4—22no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—41no—
1582C4—41no—
1583C4—41no—
1584C4—942no—
1585C4—942no—
1586C4—1881no—
1587C4—1881no—
1588C4—1881no—
1589C4—1881no—
1590C4—1881no—
1591C4—1881no—
1592C4—1881no—
1593C4—1881no—
1594C4—1881no—
1595C4—1881no—
1596C4—1881no—
1597C2—24no—
1598C2—81no—
1599C2—478no—
1600C2—944no—
1601C2—3761no—
1602C2C2×#126×D4711yescharacteristic
1603C2#529×D4711yescharacteristic
1604C2#538×D4711yescharacteristic
1605C2#551×D4711yescharacteristic
1606C2#551×D4711yescharacteristic
1607C2#553×D4711yescharacteristic
1608C2#553×D4711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2510C2
prime radicalC22×D4×D47C22
hypercenter#2510D47
hypocenterC47C2×#2510
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2510

Complements

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

NH ≅ G/Ntype
1. #20247955C2semidirect
2. #20247954C2semidirect
3. #20247953C2semidirect
4. #20247952C2semidirect
5. #20247951C2semidirect
6. #20247950C2semidirect
7. #20247949C2semidirect
8. #20247948C2semidirect
9. #20247947C2semidirect
10. #20247946C2semidirect
11. #20247945C2semidirect
12. #20247944C2semidirect
13. #20247943C2semidirect
14. #20247942C2semidirect
15. #20247941C2semidirect
16. #401×D47C2semidirect
17. #400×D47C2semidirect
18. #397×D47C2semidirect
19. #397×D47C2semidirect
20. #388×D47C2semidirect
21. #388×D47C2semidirect
22. #387×D47C2semidirect
26. #385×D47C2semidirect
27. #383×D47C2semidirect
28. #380×D47C2semidirect
29. C4×C22⋊C4×D47C2semidirect
30. C2×#95×D47C2semidirect
31. C47×#2510C2semidirect
51. C47⋊#401C22semidirect
52. C47⋊#401C22semidirect
53. C47⋊#401C22semidirect
54. C47⋊#401C22semidirect
55. C47⋊#401C22semidirect
56. C47⋊#401C22semidirect
57. C47⋊#401C22semidirect
58. #15689065C22semidirect
59. #15689065C22semidirect
60. #15689064C22semidirect
61. #15689064C22semidirect
62. #15689063C22semidirect
63. #15689062C22semidirect
64. #15689061C22semidirect
65. #15689052C22semidirect
66. #15689052C22semidirect
67. #15689052C22semidirect
68. #15689052C22semidirect
69. #15689051C22semidirect
70. #15689051C22semidirect
71. #15689051C22semidirect
72. #15689051C22semidirect
73. #15689050C22semidirect
74. #15689050C22semidirect
75. #15689049C22semidirect
76. #15689049C22semidirect
77. #15689048C22semidirect
78. #15689048C22semidirect
79. #15689017C22semidirect
80. #15689017C22semidirect
81. #15689016C22semidirect
82. #15689016C22semidirect
83. #15689015C22semidirect
84. #15689015C22semidirect
85. #15689014C22semidirect
86. #15689014C22semidirect
87. #15689013C22semidirect
88. #15689013C22semidirect
89. #15689012C22semidirect
90. #15689012C22semidirect
91. #15689011C22semidirect
92. #15689011C22semidirect
93. #15689010C22semidirect
94. #15689009C22semidirect
95. #15689008C22semidirect
96. #15689007C22semidirect
97. #15689006C22semidirect
98. #15689005C22semidirect
99. #15689004C22semidirect
121. #15688998C22semidirect
122. #15688997C22semidirect
123. #15688997C22semidirect
124. #15688996C22semidirect
125. #15688995C22semidirect
126. #15688994C22semidirect
127. #15688994C22semidirect
128. #15688991C22semidirect
129. #15688990C22semidirect
130. #15688990C22semidirect
131. #15688990C22semidirect
132. #15688990C22semidirect
133. #15688990C22semidirect
134. #15688990C22semidirect
135. #15688983C22semidirect
136. #15688982C22semidirect
137. #15688982C22semidirect
138. #15688981C22semidirect
139. #15688981C22semidirect
140. #15688980C22semidirect
141. #15688980C22semidirect
142. C22⋊C4×Dic47C22semidirect
143. C22⋊C4×Dic47C22semidirect
144. C4×(C2×D47)⋊C4C22semidirect
145. C4×(C2×D47)⋊C4C22semidirect
146. C4×C22⋊Dic47C22semidirect
147. #15688970C22semidirect
148. #15688970C22semidirect
149. C2×C47⋊#95C22semidirect
150. C2×C47⋊#95C22semidirect
151. C2×C47⋊#95C22semidirect
168. #95×D47C22semidirect
169. #95×D47C22semidirect
170. #95×D47C22semidirect
171. #95×D47C22semidirect
172. C47×#401C22semidirect
173. C47×#400C22semidirect
174. C47×#397C22semidirect
175. C47×#397C22semidirect
176. C47×#388C22semidirect
177. C47×#388C22semidirect
178. C47×#387C22semidirect
182. C47×#385C22semidirect
183. C47×#383C22semidirect
184. C47×#380C22semidirect
185. C4×C22⋊C4×C47C22semidirect
186. C2×#95×C47C22semidirect
808. #2510D47direct (N × H)
835. D47#2510direct (N × H)
862. #401C2×D47semidirect
870. #400C2×D47semidirect
885. #397C2×D47semidirect
886. #397C2×D47semidirect
901. #388C2×D47semidirect
902. #388C2×D47semidirect
910. #387C2×D47semidirect
942. #385C2×D47semidirect
950. #383C2×D47semidirect
958. #380C2×D47semidirect
966. C4×C22⋊C4C2×D47semidirect
990. C2×#95C2×D47semidirect
991. C47C2×#2510semidirect

Maximal subgroups

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

subgroupindex
#202479552
#202479542
#202479532
#202479522
#202479512
#202479502
#202479492
#202479482
#202479472
#202479462
#202479452
#202479442
#202479432
#202479422
#202479412
#401×D472
#400×D472
#397×D472
#388×D472
#387×D472
#386×D472
#385×D472
#383×D472
#380×D472
C4×C22⋊C4×D472
C2×#95×D472
C47×#25102
C2×#251047