Finite Group Databasebeta

← #26424714

Subgroups — #26424714

Order 12032.

1994 conjugacy classes of subgroups.

The subgroup lattice has 1600 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20251689C211yesmaximal, characteristic, complemented
2#20251055C211yesmaximal, characteristic, complemented
3#20251048C211yesmaximal, characteristic, complemented
4#20251004C211yesmaximal, characteristic, complemented
5#20250820C211yesmaximal, characteristic, complemented
6#20250810C211yesmaximal, characteristic, complemented
7#20250770C211yesmaximal, characteristic, complemented
8#20250708C211yesmaximal, characteristic, complemented
9#20250608C211yesmaximal, characteristic, complemented
10#20250530C211yesmaximal, characteristic, complemented
11#20250497C211yesmaximal, characteristic, complemented
12#20250427C211yesmaximal, characteristic, complemented
13#20250424C211yesmaximal, characteristic, complemented
14#20250389C211yesmaximal, characteristic, complemented
15#20250010C211yesmaximal, characteristic, complemented
16#20249773C211yesmaximal, characteristic, complemented
17#20249769C211yesmaximal, characteristic, complemented
18#20249174C211yesmaximal, characteristic, complemented
19#20249136C211yesmaximal, characteristic, complemented
20#20247954C211yesmaximal, characteristic, complemented
21#20247712C211yesmaximal, characteristic, complemented
22#20247144C211yesmaximal, characteristic, complemented
23#20247053C211yesmaximal, characteristic, complemented
24#20246937C211yesmaximal, characteristic, complemented
25#20246782C211yesmaximal, characteristic, complemented
26#20246761C211yesmaximal, characteristic
27#20246714C211yesmaximal, characteristic, complemented
28#20246045C211yesmaximal, characteristic, complemented
29#20245962C211yesmaximal, characteristic, complemented
30C2×#15689014C211yesmaximal, characteristic, complemented
31C47×#2852C211yesmaximal, characteristic, complemented
32C22×D4×D47C2211yescharacteristic
33C2×#13094012C2211yescharacteristic, complemented
34C2×#13094008C2211yescharacteristic
35C2×#13094008C2211yescharacteristic, complemented
36C2×#13094005C2211yescharacteristic
37C2×#13094003C2211yescharacteristic, complemented
38C2×#13094002C2211yescharacteristic, complemented
39C2×#13093998C2211yescharacteristic
40C2×#13093996C2211yescharacteristic
41C2×#13093994C2211yescharacteristic
42C2×#13093994C2211yescharacteristic
43C2×(C22⋊D47)⋊C4C2211yescharacteristic, complemented
44C22×Dic47⋊C4C2211yescharacteristic, complemented
45C22×(C2×D47)⋊C4C2211yescharacteristic
46C22×(C2×D47)⋊C4C2211yescharacteristic
47C22×(C2×D47)⋊C4C2211yescharacteristic
48C2×C22⋊C4×D47C2211yescharacteristic
49C47⋊#401C2211yescharacteristic, complemented
50#15689065C2211yescharacteristic, complemented
51#15689065C2211yescharacteristic, complemented
52#15689065C2211yescharacteristic, complemented
53#15689064C2211yescharacteristic, complemented
54#15689064C2211yescharacteristic, complemented
55#15689061C2211yescharacteristic, complemented
56#15689058C2211yescharacteristic
57#15689058C2211yescharacteristic, complemented
58#15689058C2211yescharacteristic, complemented
59#15689057C2211yescharacteristic, complemented
60#15689057C2211yescharacteristic, complemented
61#15689056C2211yescharacteristic, complemented
62#15689056C2211yescharacteristic, complemented
63#15689055C2211yescharacteristic, complemented
64#15689052C2211yescharacteristic, complemented
65#15689052C2211yescharacteristic, complemented
66#15689052C2211yescharacteristic, complemented
67#15689052C2211yescharacteristic, complemented
68#15689051C2211yescharacteristic, complemented
69#15689051C2211yescharacteristic, complemented
70#15689050C2211yescharacteristic
71#15689050C2211yescharacteristic
72#15689050C2211yescharacteristic, complemented
73#15689049C2211yescharacteristic, complemented
74#15689047C2211yescharacteristic
75#15689047C2211yescharacteristic, complemented
76#15689047C2211yescharacteristic, complemented
77#15689046C2211yescharacteristic, complemented
78#15689046C2211yescharacteristic, complemented
79#15689045C2211yescharacteristic
80#15689045C2211yescharacteristic, complemented
81#15689041C2211yescharacteristic
82#15689041C2211yescharacteristic
83#15689041C2211yescharacteristic
84#15689040C2211yescharacteristic
85#15689040C2211yescharacteristic
86#15689040C2211yescharacteristic, complemented
87#15689039C2211yescharacteristic
88#15689039C2211yescharacteristic
89#15689039C2211yescharacteristic
90#15689038C2211yescharacteristic, complemented
91#15689038C2211yescharacteristic, complemented
92#15689038C2211yescharacteristic, complemented
93#15689036C2211yescharacteristic
94#15689035C2211yescharacteristic, complemented
95#15689033C2211yescharacteristic
96#15689032C2211yescharacteristic
97#15689029C2211yescharacteristic, complemented
98#15689027C2211yescharacteristic, complemented
99#15689025C2211yescharacteristic, complemented
100#15689024C2211yescharacteristic
101#15689024C2211yescharacteristic, complemented
102#15689022C2211yescharacteristic, complemented
103#15689017C2211yescharacteristic, complemented
104#15689016C2211yescharacteristic, complemented
105#15689015C2211yescharacteristic, complemented
106#15689014C2211yescharacteristic
107#15689014C2211yescharacteristic
108#15689014C2211yescharacteristic
109#15689014C2211yescharacteristic
110#15689014C2211yescharacteristic, complemented
111#15689014C2211yescharacteristic, complemented
112#15689014C2211yescharacteristic, complemented
113#15689014C2211yescharacteristic, complemented
114#15689014C2211yescharacteristic, complemented
115#15689014C2211yescharacteristic, complemented
116#15689014C2211yescharacteristic, complemented
117#15689014C2211yescharacteristic, complemented
118#15689013C2211yescharacteristic
119#15689013C2211yescharacteristic, complemented
120#15689013C2211yescharacteristic, complemented
121#15689012C2211yescharacteristic
122#15689012C2211yescharacteristic, complemented
123#15689012C2211yescharacteristic, complemented
124#15689011C2211yescharacteristic, complemented
125#15689005C2211yescharacteristic, complemented
126#15689004C2211yescharacteristic, complemented
127#15689003C2211yescharacteristic
128#15689002C2211yescharacteristic
129#15689002C2211yescharacteristic
130#15689002C2211yescharacteristic, complemented
131#15689002C2211yescharacteristic, complemented
132#15689001C2211yescharacteristic
133#15689001C2211yescharacteristic
134#15689001C2211yescharacteristic
135#15689001C2211yescharacteristic
136#15689001C2211yescharacteristic, complemented
137#15689001C2211yescharacteristic, complemented
138#15689001C2211yescharacteristic, complemented
139#15689001C2211yescharacteristic, complemented
140#15689000C2211yescharacteristic
141#15689000C2211yescharacteristic
142#15688999C2211yescharacteristic
143#15688999C2211yescharacteristic
144#15688999C2211yescharacteristic, complemented
145#15688997C2211yescharacteristic
146#15688997C2211yescharacteristic
147#15688997C2211yescharacteristic
148#15688997C2211yescharacteristic, complemented
149#15688995C2211yescharacteristic, complemented
150#15688994C2211yescharacteristic, complemented
151#15688990C2211yescharacteristic, complemented
152#15688989C2211yescharacteristic, complemented
153#15688987C2211yescharacteristic, complemented
154#15688985C2211yescharacteristic
155#15688985C2211yescharacteristic
156#15688985C2211yescharacteristic, complemented
157#15688984C2211yescharacteristic, complemented
158#15688982C2211yescharacteristic, complemented
159#15688981C2211yescharacteristic, complemented
160#15688980C2211yescharacteristic, complemented
161#15688980C2211yescharacteristic, complemented
162#15688980C2211yescharacteristic, complemented
163#15688978C2211yescharacteristic
164#15688978C2211yescharacteristic
165#15688978C2211yescharacteristic
166#15688978C2211yescharacteristic
167#15688978C2211yescharacteristic
168#15688978C2211yescharacteristic
169C22⋊C4×Dic47C2211yescharacteristic, complemented
170C2×C47⋊#95C2211yescharacteristic, complemented
171C2×C47⋊#95C2211yescharacteristic, complemented
172C2×#126×C47C2211yescharacteristic, complemented
173C22×C42×C47C2211yescharacteristic, complemented
174C47×#388C2211yescharacteristic, complemented
175C47×#388C2211yescharacteristic, complemented
176C47×#388C2211yescharacteristic, complemented
177C47×#387C2211yescharacteristic, complemented
178C47×#387C2211yescharacteristic, complemented
179C47×#387C2211yescharacteristic, complemented
180C47×#386C2211yescharacteristic
181C47×#386C2211yescharacteristic
182C47×#386C2211yescharacteristic
183C47×#385C2211yescharacteristic, complemented
184C47×#385C2211yescharacteristic, complemented
185C47×#385C2211yescharacteristic, complemented
186C47×#383C2211yescharacteristic, complemented
187C24×D47C2311yescharacteristic
188C24×D47C2311yescharacteristic
189C22×Dic94C2311yescharacteristic
190C22×D188C2311yescharacteristic
191C22×D188C2311yescharacteristic
192C22×D188C2311yescharacteristic
193C22×D188C2311yescharacteristic
194C22×C22⋊D47C2311yescharacteristic
195C22×C22⋊D47C2311yescharacteristic
196C22×C22⋊D47C2311yescharacteristic
197C22×C22⋊D47C2311yescharacteristic
198C2×D4×D47—24no—
199C2×D4×D47—42no—
200C2×D4×D47—42no—
201C23×Dic47C2311yescharacteristic
202C23×Dic47C2311yescharacteristic
203C23×Dic47C2311yescharacteristic
204C22×C4×D47C2311yescharacteristic
205C22×C4×D47C2311yescharacteristic
206C22×C4×D47C2311yescharacteristic
207C22×C4×D47C2311yescharacteristic
208#13094012—42no—
209#13094008—42no—
210#13094008—42no—
211#13094005—42no—
212#13094003—42no—
213#13094002—42no—
214#13093998—42no—
215#13093996—42no—
216#13093994—24no—
217#13093994—42no—
218(C22⋊D47)⋊C4—42no—
219C2×C4⋊Dic47C2311yescharacteristic
220C2×C4⋊Dic47C2311yescharacteristic
221C2×C4⋊Dic47C2311yescharacteristic
222C2×C4⋊Dic47C2311yescharacteristic
223C2×C4⋊Dic47C2311yescharacteristic
224C2×C4⋊Dic47C2311yescharacteristic
225C2×Dic47⋊C4—42no—
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
238C2×Dic47⋊C4C2311yescharacteristic
239C2×Dic47⋊C4C2311yescharacteristic
240C2×C22⋊Dic47C2311yescharacteristic
241C2×C22⋊Dic47C2311yescharacteristic
242C2×C22⋊Dic47C2311yescharacteristic
243C2×C22⋊Dic47C2311yescharacteristic
244C2×C22⋊Dic47C2311yescharacteristic
245C2×C22⋊Dic47C2311yescharacteristic
246C2×C22⋊Dic47C2311yescharacteristic
247C2×(C2×D47)⋊C4—24no—
248C2×(C2×D47)⋊C4—42no—
249C2×(C2×D47)⋊C4—42no—
250C2×(C2×D47)⋊C4C2311yescharacteristic
251C2×(C2×D47)⋊C4C2311yescharacteristic
252C2×(C2×D47)⋊C4C2311yescharacteristic
253C2×(C2×D47)⋊C4C2311yescharacteristic
254C2×(C2×D47)⋊C4C2311yescharacteristic
255C2×(C2×D47)⋊C4C2311yescharacteristic
256C2×(C2×D47)⋊C4C2311yescharacteristic
257C2×(C2×D47)⋊C4C2311yescharacteristic
258C2×(C2×D47)⋊C4C2311yescharacteristic
259C2×(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
269C2×(C2×D47)⋊C4C2311yescharacteristic
270C2×(C2×D47)⋊C4C2311yescharacteristic
271C2×(C2×D47)⋊C4C2311yescharacteristic
272C2×(C2×D47)⋊C4C2311yescharacteristic
273C2×(C2×D47)⋊C4C2311yescharacteristic
274C2×(C2×D47)⋊C4C2311yescharacteristic
275C2×(C2×D47)⋊C4C2311yescharacteristic
276C2×(C2×D47)⋊C4C2311yescharacteristic
277C2×(C2×D47)⋊C4C2311yescharacteristic
278C2×(C2×D47)⋊C4C2311yescharacteristic
279C2×(C2×D47)⋊C4C2311yescharacteristic
280C2×(C2×D47)⋊C4C2311yescharacteristic
281C2×(C2×D47)⋊C4C2311yescharacteristic
282C2×(C2×D47)⋊C4C2311yescharacteristic
283C2×(C2×D47)⋊C4C2311yescharacteristic
284C2×(C2×D47)⋊C4C2311yescharacteristic
285C2×(C2×D47)⋊C4C2311yescharacteristic
286C2×(C2×D47)⋊C4C2311yescharacteristic
287C2×(C2×D47)⋊C4C2311yescharacteristic
288C2×(C2×D47)⋊C4C2311yescharacteristic
289C2×(C2×D47)⋊C4C2311yescharacteristic
290C22⋊C4×D47—42no—
291C2×C4×Dic47C2311yescharacteristic
292C2×C4×Dic47C2311yescharacteristic
293C2×C4×Dic47C2311yescharacteristic
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
326C22×D4×C47C2311yescharacteristic
327C23×C4×C47C2311yescharacteristic
328C23×C4×C47C2311yescharacteristic
329C23×C4×C47C2311yescharacteristic
330#126×C47—42no—
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×C47—42no—
347C2×C42×C47C2311yescharacteristic
348C2×C42×C47C2311yescharacteristic
349C2×C42×C47C2311yescharacteristic
350C2×C42×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
364C24×C47C2411yescharacteristic
365C23×D47—22no—
366C23×D47—22no—
367C23×D47—22no—
368C23×D47—41no—
369C23×D47—41no—
370C23×D47—41no—
371C23×D47—41no—
372C23×D47—41no—
373C23×D47—41no—
374C23×D47—41no—
375C23×D47—41no—
376C23×D47—41no—
377C23×D47—41no—
378C23×D47#4114yes—
379C23×D47C2411yescharacteristic
380C23×D47C2411yescharacteristic
381C23×D47C2411yescharacteristic
382C23×D47C2411yescharacteristic
383C2×D4×C47—22no—
384C2×D4×C47—22no—
385C2×D4×C47—22no—
386C22×C4×C47—22no—
387C22×C4×C47—22no—
388C22×C4×C47—22no—
389C22×C4×C47—22no—
390C22×C4×C47—41no—
391C22×C4×C47—41no—
392C22×C4×C47—41no—
393C22×C4×C47—41no—
394C22×C4×C47—41no—
395C22×C4×C47C2411yescharacteristic
396C22×C4×C47C2411yescharacteristic
397C22×C4×C47C2411yescharacteristic
398C22×C4×C47C2411yescharacteristic
399C22×C4×C47C2411yescharacteristic
400C22×C4×C47C2411yescharacteristic
401C22×C4×C47C2411yescharacteristic
402C22×C4×C47C2411yescharacteristic
403C22×C4×C47C2411yescharacteristic
404C22×C4×C47C2411yescharacteristic
405C22×C4×C47C2411yescharacteristic
406C22×C4×C47C2411yescharacteristic
407C22×C4×C47C2411yescharacteristic
408C2×C22⋊D47—22no—
409C2×C22⋊D47—22no—
410C2×C22⋊D47—22no—
411C2×C22⋊D47—22no—
412C2×C22⋊D47—22no—
413C2×C22⋊D47—22no—
414C2×C22⋊D47—22no—
415C2×C22⋊D47—41no—
416C2×C22⋊D47—41no—
417C2×C22⋊D47—41no—
418C2×C22⋊D47—41no—
419C2×C22⋊D47—41no—
420C22×Dic47—22no—
421C22×Dic47—22no—
422C22×Dic47—22no—
423C22×Dic47—22no—
424C22×Dic47—22no—
425C22×Dic47—41no—
426C22×Dic47—41no—
427C22×Dic47—41no—
428C22×Dic47—41no—
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×D188—22no—
446C2×D188—41no—
447C2×D188—41no—
448C2×D188—41no—
449C2×D188—41no—
450C2×D188—41no—
451C2×D188—41no—
452C2×D188—41no—
453C2×D188—41no—
454C2×C4×D47—22no—
455C2×C4×D47—41no—
456C2×C4×D47—41no—
457C2×C4×D47—41no—
458C2×C4×D47—41no—
459C2×C4×D47—41no—
460C2×C4×D47—41no—
461C2×C4×D47—41no—
462C2×C4×D47—41no—
463C2×C4×D47—41no—
464C2×C4×D47—41no—
465C2×C4×D47—41no—
466C2×Dic94—22no—
467C2×Dic94—41no—
468C2×Dic94—41no—
469C4⋊C4×C47—22no—
470C4⋊C4×C47—41no—
471C4⋊C4×C47—41no—
472C4⋊C4×C47—41no—
473C4⋊C4×C47—41no—
474C4⋊C4×C47—41no—
475C22⋊C4×C47—22no—
476C22⋊C4×C47—22no—
477C22⋊C4×C47—22no—
478C22⋊C4×C47—22no—
479C22⋊C4×C47—41no—
480C22⋊C4×C47—41no—
481C22⋊C4×C47—41no—
482C22⋊C4×C47—41no—
483C22⋊C4×C47—41no—
484C42×C47—22no—
485C42×C47—22no—
486C42×C47—41no—
487C42×C47—41no—
488C22⋊Dic47—22no—
489C22⋊Dic47—22no—
490C22⋊Dic47—41no—
491C22⋊Dic47—41no—
492C22⋊Dic47—41no—
493C22⋊Dic47—41no—
494C22⋊Dic47—41no—
495(C2×D47)⋊C4—22no—
496(C2×D47)⋊C4—22no—
497(C2×D47)⋊C4—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—41no—
504(C2×D47)⋊C4—41no—
505(C2×D47)⋊C4—41no—
506(C2×D47)⋊C4—41no—
507(C2×D47)⋊C4—41no—
508(C2×D47)⋊C4—41no—
509(C2×D47)⋊C4—41no—
510(C2×D47)⋊C4—41no—
511(C2×D47)⋊C4—41no—
512(C2×D47)⋊C4—41no—
513(C2×D47)⋊C4—41no—
514(C2×D47)⋊C4—41no—
515(C2×D47)⋊C4—41no—
516(C2×D47)⋊C4—41no—
517(C2×D47)⋊C4—41no—
518(C2×D47)⋊C4—41no—
519(C2×D47)⋊C4—41no—
520(C2×D47)⋊C4—41no—
521(C2×D47)⋊C4—41no—
522(C2×D47)⋊C4—41no—
523(C2×D47)⋊C4—41no—
524(C2×D47)⋊C4—41no—
525(C2×D47)⋊C4—41no—
526(C2×D47)⋊C4—41no—
527(C2×D47)⋊C4—41no—
528(C2×D47)⋊C4—41no—
529(C2×D47)⋊C4—41no—
530(C2×D47)⋊C4—41no—
531(C2×D47)⋊C4—41no—
532(C2×D47)⋊C4—41no—
533(C2×D47)⋊C4—41no—
534(C2×D47)⋊C4—41no—
535C4⋊Dic47—41no—
536C4⋊Dic47—41no—
537C4⋊Dic47—41no—
538C4⋊Dic47—41no—
539C4⋊Dic47—41no—
540C4⋊Dic47—41no—
541Dic47⋊C4—41no—
542Dic47⋊C4—41no—
543Dic47⋊C4—41no—
544Dic47⋊C4—41no—
545Dic47⋊C4—41no—
546Dic47⋊C4—41no—
547Dic47⋊C4—41no—
548Dic47⋊C4—41no—
549Dic47⋊C4—41no—
550Dic47⋊C4—41no—
551Dic47⋊C4—41no—
552Dic47⋊C4—41no—
553Dic47⋊C4—41no—
554Dic47⋊C4—41no—
555C4×Dic47—41no—
556C4×Dic47—41no—
557C4×Dic47—41no—
558C23×C47—21no—
559C23×C47—21no—
560C23×C47—21no—
561C23×C47—21no—
562C23×C47—21no—
563C23×C47—21no—
564C23×C47—21no—
565C23×C47—21no—
566C23×C47—21no—
567C23×C47—21no—
568C23×C47—21no—
569C23×C47C2×#4112yes—
570C23×C47H(5,𝔽2)12yes—
571C23×C47H(5,𝔽2)12yes—
572C23×C47C2511yescharacteristic
573C22×D47—21no—
574C22×D47—21no—
575C22×D47—21no—
576C22×D47—21no—
577C22×D47—21no—
578C22×D47—21no—
579C22×D47—21no—
580C22×D47—21no—
581C22×D47—21no—
582C22×D47—21no—
583C22×D47—21no—
584C22×D47—21no—
585C22×D47—28no—
586C22×D47—21no—
587C22×D47—21no—
588C22×D47—21no—
589C22×D47—21no—
590C22×D47—21no—
591C22×D47—21no—
592C22×D47—21no—
593C22×D47—21no—
594C22×D47—21no—
595C22×D47—21no—
596C22×D47—21no—
597C22×D47—21no—
598C22×D47—21no—
599C22×D47—21no—
600C22×D47—44no—
601C22×D47—44no—
602C22×D47—44no—
603C22×D47—82no—
604C22×D47—82no—
605C22×D47—82no—
606C22×D47—82no—
607C22×D47—82no—
608C22×D47—82no—
609C22×D47—82no—
610C22×D47—82no—
611C22×D47—82no—
612C22×D47—82no—
613C22×D47C2×#4112yes—
614C22×D47C2×#4112yes—
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—21no—
654C2×C4×C47—44no—
655C2×C4×C47—44no—
656C2×C4×C47—44no—
657C2×C4×C47H(5,𝔽2)12yes—
658C22⋊D47—44no—
659C22⋊D47—44no—
660C22⋊D47—44no—
661C22⋊D47—82no—
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—21no—
698C2×Dic47—44no—
699C2×Dic47—82no—
700C2×Dic47—82no—
701D188—44no—
702D188—82no—
703D188—82no—
704D188—82no—
705C4×D47—44no—
706C4×D47—82no—
707C4×D47—82no—
708C4×D47—82no—
709Dic94—82no—
710#36779—471nomaximal, Sylow
711C22×C47—22no—
712C22×C47—22no—
713C22×C47—22no—
714C22×C47—22no—
715C22×C47—22no—
716C22×C47—22no—
717C22×C47—41no—
718C22×C47—41no—
719C22×C47—41no—
720C22×C47—41no—
721C22×C47—41no—
722C22×C47—41no—
723C22×C47—41no—
724C22×C47#53814yes—
725C22×C47C22×#4111yescharacteristic
726C22×C47C2×H(5,𝔽2)11yescharacteristic
727C22×C47C2×H(5,𝔽2)11yescharacteristic
728C22×C47C2×H(5,𝔽2)11yescharacteristic
729C22×C47#58511yescharacteristic
730C22×C47#58511yescharacteristic
731C22×C47#58511yescharacteristic
732C2×D47—22no—
733C2×D47—22no—
734C2×D47—22no—
735C2×D47—22no—
736C2×D47—22no—
737C2×D47—22no—
738C2×D47—41no—
739C2×D47—41no—
740C2×D47—41no—
741C2×D47—41no—
742C2×D47—41no—
743C2×D47—41no—
744C2×D47—41no—
745C2×D47—41no—
746C2×D47—41no—
747C2×D47—41no—
748C2×D47—41no—
749C2×D47—41no—
750C2×D47—41no—
751C2×D47—41no—
752C2×D47—41no—
753C2×D47—41no—
754C2×D47—41no—
755C2×D47—41no—
756C2×D47—41no—
757C2×D47—41no—
758C2×D47—41no—
759C2×D47—41no—
760C2×D47—88no—
761C2×D47—88no—
762C4×C47—22no—
763C4×C47—41no—
764C4×C47—41no—
765C4×C47—41no—
766C4×C47—41no—
767C4×C47—41no—
768C4×C47—41no—
769C4×C47—41no—
770C4×C47—41no—
771C4×C47—41no—
772C4×C47—41no—
773C4×C47—41no—
774C4×C47—41no—
775Dic47—41no—
776Dic47—41no—
777Dic47—41no—
778Dic47—41no—
779Dic47—41no—
780Dic47—41no—
781Dic47—41no—
782Dic47—41no—
783Dic47—41no—
784Dic47—41no—
785Dic47—41no—
786Dic47—41no—
787#2852D4711yescharacteristic, complemented
788#2850—471no—
789#2781—471no—
790#2781—471no—
791#2778—471no—
792#2765—471no—
793#2764—471no—
794#2761—471no—
795#2756—471no—
796#2749—471no—
797#2743—471no—
798#2741—471no—
799#2735—471no—
800#2735—471no—
801#2730—471no—
802#2702—471no—
803#2685—471no—
804#2684—471no—
805#2623—471no—
806#2618—471no—
807#2510—471no—
808#2488—471no—
809#2444—471no—
810#2437—471no—
811#2425—471no—
812#2412—471no—
813#2410—471no—
814#2405—471no—
815#2321—471no—
816#2308—471no—
817C2×#388—471no—
818C2×C47—24no—
819C2×C47—81no—
820C2×C47C2×#53811yescharacteristic
821C2×C47#349111yescharacteristic
822C2×C47#350511yescharacteristic
823C2×C47#353411yescharacteristic
824C2×C47#354211yescharacteristic
825C2×C47#354511yescharacteristic
826C2×C47#356011yescharacteristic
827D47—42no—
828D47—42no—
829D47—81no—
830D47—81no—
831C23×D4—471no—
832C2×#126C2×D4711yescharacteristic, complemented
833C2×#124—471no—
834C2×#123—471no—
835C2×#123—471no—
836C2×#123—471no—
837C2×C22⋊Q8—471no—
838C2×C22⋊Q8—471no—
839C2×#121—471no—
840C2×#121—471no—
841C2×#120—471no—
842C2×#120—471no—
843C2×C4×D4—471no—
844C22×C4⋊C4—471no—
845C22×C22⋊C4—471no—
846C22×C22⋊C4—471no—
847C22×C22⋊C4—471no—
848C22×C22⋊C4—471no—
849C22×C42C2×D4711yescharacteristic, complemented
850#401—471no—
851#400—471no—
852#400—471no—
853#400—471no—
854#400—471no—
855#400—471no—
856#400—471no—
857#399—471no—
858#399—471no—
859#399—471no—
860#398—471no—
861#398—471no—
862#398—471no—
863#398—471no—
864#398—471no—
865#397—471no—
866#397—471no—
867#397—471no—
868#397—471no—
869#397—471no—
870#397—471no—
871#397—471no—
872#397—471no—
873#397—471no—
874#397—471no—
875#396—471no—
876#396—471no—
877#396—471no—
878#396—471no—
879#396—471no—
880#396—471no—
881#396—471no—
882#394—471no—
883#394—471no—
884#394—471no—
885#394—471no—
886#394—471no—
887#394—471no—
888#394—471no—
889#394—471no—
890#394—471no—
891#394—471no—
892#394—471no—
893#394—471no—
894#393—471no—
895#393—471no—
896#392—471no—
897#392—471no—
898#391—471no—
899#391—471no—
900#390—471no—
901#390—471no—
902#390—471no—
903#389—471no—
904#388—471no—
905#388—471no—
906#388—471no—
907#388—471no—
908#388—471no—
909#388—471no—
910#388—471no—
911#388—471no—
912#388—471no—
913#388—471no—
914#388—471no—
915#388—471no—
916#388—471no—
917#388—471no—
918#388—471no—
919#388—471no—
920#388—471no—
921#388—471no—
922#388—471no—
923#388—471no—
924#388—471no—
925#388—471no—
926#388C2×D4711yescharacteristic, complemented
927#388C2×D4711yescharacteristic, complemented
928#388C2×D4711yescharacteristic, complemented
929#387—471no—
930#387—471no—
931#387C2×D4711yescharacteristic, complemented
932#387C2×D4711yescharacteristic, complemented
933#387C2×D4711yescharacteristic, complemented
934#386—471no—
935#386—471no—
936#386—471no—
937#386—471no—
938#386—471no—
939#386—471no—
940#386—471no—
941#386—471no—
942#386—471no—
943#386—471no—
944#386—471no—
945#386—471no—
946#386—471no—
947#386—471no—
948#386—471no—
949#386—471no—
950#386—471no—
951#386—471no—
952#386C2×D4711yescharacteristic
953#386C2×D4711yescharacteristic
954#386C2×D4711yescharacteristic
955#385—471no—
956#385—471no—
957#385—471no—
958#385—471no—
959#385—471no—
960#385—471no—
961#385C2×D4711yescharacteristic, complemented
962#385C2×D4711yescharacteristic, complemented
963#385C2×D4711yescharacteristic, complemented
964#383—471no—
965#383C2×D4711yescharacteristic, complemented
966#382—471no—
967#382—471no—
968#381—471no—
969#381—471no—
970#381—471no—
971#381—471no—
972#380—471no—
973#380—471no—
974#380—471no—
975#380—471no—
976#380—471no—
977#379—471no—
978#379—471no—
979#379—471no—
980#379—471no—
981#379—471no—
982#379—471no—
983C4×C22⋊C4—471no—
984C2×#95—471no—
985C2×#95—471no—
986C47#3677911yescharacteristic, complemented, Sylow
987C25—471no—
988C25—471no—
989C22×Q8—471no—
990C22×D4—471no—
991C22×D4—471no—
992C22×D4—471no—
993C22×D4—471no—
994C22×D4—471no—
995C22×D4—471no—
996C22×D4—471no—
997C22×D4—471no—
998C22×D4—944no—
999C22×D4—1882no—
1000C22×D4—1882no—
1001C22×D4C22×D4711yescharacteristic
1002C23×C4—471no—
1003C23×C4—471no—
1004C23×C4—471no—
1005C23×C4—471no—
1006C23×C4—471no—
1007C23×C4—471no—
1008C23×C4—471no—
1009C23×C4C22×D4711yescharacteristic
1010C23×C4C22×D4711yescharacteristic
1011C23×C4C22×D4711yescharacteristic
1012#126—42no—
1013#124—1882no—
1014#123—1882no—
1015#123—1882no—
1016#123—1882no—
1017C22⋊Q8—1882no—
1018C22⋊Q8—1882no—
1019#121—1882no—
1020#121—1882no—
1021#120—944no—
1022#120—1882no—
1023C4×D4—1882no—
1024C2×C4⋊C4—471no—
1025C2×C4⋊C4—471no—
1026C2×C4⋊C4—471no—
1027C2×C4⋊C4—471no—
1028C2×C4⋊C4—471no—
1029C2×C4⋊C4—471no—
1030C2×C4⋊C4—471no—
1031C2×C4⋊C4—471no—
1032C2×C4⋊C4—471no—
1033C2×C4⋊C4—471no—
1034C2×C4⋊C4—471no—
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—1882no—
1045C2×C4⋊C4C22×D4711yescharacteristic
1046C2×C4⋊C4C22×D4711yescharacteristic
1047C2×C4⋊C4C22×D4711yescharacteristic
1048C2×C4⋊C4C22×D4711yescharacteristic
1049C2×C4⋊C4C22×D4711yescharacteristic
1050C2×C4⋊C4C22×D4711yescharacteristic
1051C2×C22⋊C4—471no—
1052C2×C22⋊C4—471no—
1053C2×C22⋊C4—471no—
1054C2×C22⋊C4—471no—
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—471no—
1083C2×C22⋊C4—471no—
1084C2×C22⋊C4—471no—
1085C2×C22⋊C4—471no—
1086C2×C22⋊C4—471no—
1087C2×C22⋊C4—471no—
1088C2×C22⋊C4—471no—
1089C2×C22⋊C4—471no—
1090C2×C22⋊C4—471no—
1091C2×C22⋊C4—471no—
1092C2×C22⋊C4—471no—
1093C2×C22⋊C4—471no—
1094C2×C22⋊C4—471no—
1095C2×C22⋊C4—471no—
1096C2×C22⋊C4—471no—
1097C2×C22⋊C4—471no—
1098C2×C22⋊C4—944no—
1099C2×C22⋊C4—1882no—
1100C2×C22⋊C4—1882no—
1101C2×C22⋊C4—1882no—
1102C2×C22⋊C4C22×D4711yescharacteristic
1103C2×C22⋊C4C22×D4711yescharacteristic
1104C2×C22⋊C4C22×D4711yescharacteristic
1105C2×C22⋊C4C22×D4711yescharacteristic
1106C2×C22⋊C4C22×D4711yescharacteristic
1107C2×C22⋊C4C22×D4711yescharacteristic
1108C2×C22⋊C4C22×D4711yescharacteristic
1109C2×C22⋊C4C22×D4711yescharacteristic
1110C2×C22⋊C4C22×D4711yescharacteristic
1111C2×C42—42no—
1112C2×C42—471no—
1113C2×C42—471no—
1114C2×C42—471no—
1115C2×C42C22×D4711yescharacteristic
1116C2×C42C22×D4711yescharacteristic
1117C2×C42C22×D4711yescharacteristic
1118C2×C42C22×D4711yescharacteristic
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#95C22×D4711yescharacteristic
1152#95C22×D4711yescharacteristic
1153#95C22×D4711yescharacteristic
1154#95C22×D4711yescharacteristic
1155#95C22×D4711yescharacteristic
1156#95C22×D4711yescharacteristic
1157#95C22×D4711yescharacteristic
1158#95C22×D4711yescharacteristic
1159#95C22×D4711yescharacteristic
1160#95C22×D4711yescharacteristic
1161#95C22×D4711yescharacteristic
1162#95C22×D4711yescharacteristic
1163C24—471no—
1164C24—471no—
1165C24—474no—
1166C24—471no—
1167C24—471no—
1168C24—942no—
1169C24—942no—
1170C24—942no—
1171C24—1881no—
1172C24—1881no—
1173C24—1881no—
1174C24—1881no—
1175C24—1881no—
1176C24—1881no—
1177C24—1881no—
1178C24—1881no—
1179C24—1881no—
1180C24—1881no—
1181C24C23×D4711yescharacteristic
1182C24C23×D4711yescharacteristic
1183C2×Q8—942no—
1184C2×Q8—1881no—
1185C2×Q8—1881no—
1186C2×D4—22no—
1187C2×D4—22no—
1188C2×D4—22no—
1189C2×D4—942no—
1190C2×D4—942no—
1191C2×D4—942no—
1192C2×D4—942no—
1193C2×D4—942no—
1194C2×D4—942no—
1195C2×D4—942no—
1196C2×D4—942no—
1197C2×D4—942no—
1198C2×D4—942no—
1199C2×D4—942no—
1200C2×D4—1881no—
1201C2×D4—1881no—
1202C2×D4—1881no—
1203C2×D4—1881no—
1204C2×D4—1881no—
1205C2×D4—1881no—
1206C2×D4—1881no—
1207C2×D4—1881no—
1208C2×D4—1881no—
1209C2×D4—1881no—
1210C2×D4—1881no—
1211C2×D4—1881no—
1212C2×D4—1881no—
1213C2×D4—18816no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—471no—
1224C22×C4—471no—
1225C22×C4—471no—
1226C22×C4—471no—
1227C22×C4—471no—
1228C22×C4—471no—
1229C22×C4—471no—
1230C22×C4—471no—
1231C22×C4—471no—
1232C22×C4—471no—
1233C22×C4—471no—
1234C22×C4—471no—
1235C22×C4—942no—
1236C22×C4—942no—
1237C22×C4—942no—
1238C22×C4—942no—
1239C22×C4—942no—
1240C22×C4—942no—
1241C22×C4—1881no—
1242C22×C4—1881no—
1243C22×C4—1881no—
1244C22×C4—1881no—
1245C22×C4—1881no—
1246C22×C4—1881no—
1247C22×C4—1881no—
1248C22×C4—1881no—
1249C22×C4—1881no—
1250C22×C4—1881no—
1251C22×C4—1881no—
1252C22×C4—1881no—
1253C22×C4—1881no—
1254C22×C4—1881no—
1255C22×C4—1881no—
1256C22×C4C23×D4711yescharacteristic
1257C22×C4C23×D4711yescharacteristic
1258C22×C4C23×D4711yescharacteristic
1259C22×C4C23×D4711yescharacteristic
1260C22×C4C23×D4711yescharacteristic
1261C22×C4C23×D4711yescharacteristic
1262C22×C4C23×D4711yescharacteristic
1263C22×C4C23×D4711yescharacteristic
1264C22×C4C23×D4711yescharacteristic
1265C22×C4C23×D4711yescharacteristic
1266C22×C4C23×D4711yescharacteristic
1267C22×C4C23×D4711yescharacteristic
1268C22×C4C23×D4711yescharacteristic
1269C4⋊C4—22no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
1275C4⋊C4—1881no—
1276C4⋊C4—1881no—
1277C4⋊C4—1881no—
1278C4⋊C4—1881no—
1279C4⋊C4—1881no—
1280C4⋊C4—1881no—
1281C4⋊C4—1881no—
1282C4⋊C4—1881no—
1283C4⋊C4—1881no—
1284C4⋊C4—1881no—
1285C4⋊C4—1881no—
1286C4⋊C4—1881no—
1287C4⋊C4—1881no—
1288C4⋊C4—1881no—
1289C4⋊C4—1881no—
1290C4⋊C4—1881no—
1291C4⋊C4—1881no—
1292C4⋊C4—1881no—
1293C4⋊C4—1881no—
1294C4⋊C4—1881no—
1295C22⋊C4—22no—
1296C22⋊C4—22no—
1297C22⋊C4—22no—
1298C22⋊C4—22no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—942no—
1305C22⋊C4—942no—
1306C22⋊C4—942no—
1307C22⋊C4—942no—
1308C22⋊C4—942no—
1309C22⋊C4—942no—
1310C22⋊C4—942no—
1311C22⋊C4—942no—
1312C22⋊C4—942no—
1313C22⋊C4—942no—
1314C22⋊C4—1881no—
1315C22⋊C4—1881no—
1316C22⋊C4—1881no—
1317C22⋊C4—1881no—
1318C22⋊C4—1881no—
1319C22⋊C4—1881no—
1320C22⋊C4—1881no—
1321C22⋊C4—1881no—
1322C22⋊C4—1881no—
1323C22⋊C4—1881no—
1324C22⋊C4—1881no—
1325C22⋊C4—1881no—
1326C22⋊C4—1881no—
1327C22⋊C4—1881no—
1328C22⋊C4—1881no—
1329C22⋊C4—1881no—
1330C22⋊C4—1881no—
1331C22⋊C4—1881no—
1332C22⋊C4—1881no—
1333C22⋊C4—1881no—
1334C22⋊C4—1881no—
1335C22⋊C4—1881no—
1336C22⋊C4—1881no—
1337C22⋊C4—1881no—
1338C22⋊C4—1881no—
1339C22⋊C4—1881no—
1340C22⋊C4—1881no—
1341C22⋊C4—1881no—
1342C22⋊C4—1881no—
1343C22⋊C4—1881no—
1344C22⋊C4—1881no—
1345C22⋊C4—1881no—
1346C22⋊C4—1881no—
1347C22⋊C4—1881no—
1348C22⋊C4—1881no—
1349C22⋊C4—1881no—
1350C22⋊C4—1881no—
1351C42—22no—
1352C42—22no—
1353C42—41no—
1354C42—41no—
1355C42—1881no—
1356C42—1881no—
1357C42—1881no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—472no—
1370C23—472no—
1371C23—948no—
1372C23—941no—
1373C23—941no—
1374C23—941no—
1375C23—941no—
1376C23—941no—
1377C23—941no—
1378C23—941no—
1379C23—941no—
1380C23—941no—
1381C23—941no—
1382C23—941no—
1383C23—941no—
1384C23—941no—
1385C23—941no—
1386C23—941no—
1387C23—941no—
1388C23—941no—
1389C23—941no—
1390C23—941no—
1391C23—941no—
1392C23—941no—
1393C23—941no—
1394C23—941no—
1395C23—941no—
1396C23—941no—
1397C23—941no—
1398C23—3762no—
1399C23—3762no—
1400C23—3762no—
1401C23—3762no—
1402C23—3762no—
1403C23—3762no—
1404C23—3762no—
1405C23—3762no—
1406C23—3762no—
1407C23—3762no—
1408C23—1884no—
1409C23—1884no—
1410C23—1884no—
1411C23#41×D4712yes—
1412C23#1309407012yes—
1413C23#1309407012yes—
1414C23C24×D4711yescharacteristic
1415Q8—3762no—
1416D4—44no—
1417D4—3762no—
1418D4—3762no—
1419D4—3762no—
1420D4—3762no—
1421D4—1884no—
1422D4—1884no—
1423D4—1884no—
1424D4—1884no—
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—21no—
1462C2×C4—21no—
1463C2×C4—44no—
1464C2×C4—44no—
1465C2×C4—44no—
1466C2×C4—941no—
1467C2×C4—941no—
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—3762no—
1503C2×C4—3762no—
1504C2×C4—3762no—
1505C2×C4—3762no—
1506C2×C4—3762no—
1507C2×C4—1884no—
1508C2×C4—1884no—
1509C2×C4#1309406912yes—
1510C22—22no—
1511C22—22no—
1512C22—22no—
1513C22—22no—
1514C22—22no—
1515C22—22no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—942no—
1524C22—942no—
1525C22—942no—
1526C22—942no—
1527C22—942no—
1528C22—942no—
1529C22—3768no—
1530C22—3768no—
1531C22—1881no—
1532C22—1881no—
1533C22—1881no—
1534C22—1881no—
1535C22—1881no—
1536C22—1881no—
1537C22—1881no—
1538C22—1881no—
1539C22—1881no—
1540C22—1881no—
1541C22—1881no—
1542C22—1881no—
1543C22—1881no—
1544C22—1881no—
1545C22—1881no—
1546C22—1881no—
1547C22—1881no—
1548C22—1881no—
1549C22—1881no—
1550C22—1881no—
1551C22—1881no—
1552C22—1881no—
1553C22#1568971214yes—
1554C22C2×#41×D4711yescharacteristic
1555C22C2×#1309406911yescharacteristic
1556C22C2×#1309407011yescharacteristic
1557C22C2×#1309407011yescharacteristic
1558C22#1568995911yescharacteristic
1559C22#1568995911yescharacteristic
1560C22#1568995911yescharacteristic
1561C4—22no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—41no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C4—41no—
1573C4—41no—
1574C4—1881no—
1575C4—1881no—
1576C4—1881no—
1577C4—1881no—
1578C4—1881no—
1579C4—1881no—
1580C4—1881no—
1581C4—1881no—
1582C4—1881no—
1583C4—1881no—
1584C4—1881no—
1585C4—1881no—
1586C2—24no—
1587C2—81no—
1588C2—3761no—
1589C2—3761no—
1590C2—1882no—
1591C2—1882no—
1592C2C2×#1568971211yescharacteristic
1593C2#2025708011yescharacteristic
1594C2#2025721611yescharacteristic
1595C2#2025757211yescharacteristic
1596C2#2025770411yescharacteristic
1597C2#2025774011yescharacteristic
1598C2#2025793411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2852C2
prime radical#20246761C2
hypercenter#2852D47
hypocenterC47#36779
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2852

Complements

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

NH ≅ G/Ntype
1. #20251689C2semidirect
2. #20251055C2semidirect
3. #20251048C2semidirect
4. #20251004C2semidirect
5. #20250820C2semidirect
6. #20250810C2semidirect
7. #20250770C2semidirect
8. #20250708C2semidirect
9. #20250608C2semidirect
10. #20250530C2semidirect
11. #20250497C2semidirect
12. #20250427C2semidirect
13. #20250424C2semidirect
14. #20250389C2semidirect
15. #20250010C2semidirect
16. #20249773C2semidirect
17. #20249769C2semidirect
18. #20249174C2semidirect
19. #20249136C2semidirect
20. #20247954C2semidirect
21. #20247712C2semidirect
22. #20247144C2semidirect
23. #20247053C2semidirect
24. #20246937C2semidirect
25. #20246782C2semidirect
27. #20246714C2semidirect
28. #20246045C2semidirect
29. #20245962C2semidirect
30. C2×#15689014C2semidirect
31. C47×#2852C2semidirect
33. C2×#13094012C22semidirect
35. C2×#13094008C22semidirect
37. C2×#13094003C22semidirect
38. C2×#13094002C22semidirect
43. C2×(C22⋊D47)⋊C4C22semidirect
44. C22×Dic47⋊C4C22semidirect
49. C47⋊#401C22semidirect
50. #15689065C22semidirect
51. #15689065C22semidirect
52. #15689065C22semidirect
53. #15689064C22semidirect
54. #15689064C22semidirect
55. #15689061C22semidirect
57. #15689058C22semidirect
58. #15689058C22semidirect
59. #15689057C22semidirect
60. #15689057C22semidirect
61. #15689056C22semidirect
62. #15689056C22semidirect
63. #15689055C22semidirect
64. #15689052C22semidirect
65. #15689052C22semidirect
66. #15689052C22semidirect
67. #15689052C22semidirect
68. #15689051C22semidirect
69. #15689051C22semidirect
72. #15689050C22semidirect
73. #15689049C22semidirect
75. #15689047C22semidirect
76. #15689047C22semidirect
77. #15689046C22semidirect
78. #15689046C22semidirect
80. #15689045C22semidirect
86. #15689040C22semidirect
90. #15689038C22semidirect
91. #15689038C22semidirect
92. #15689038C22semidirect
94. #15689035C22semidirect
97. #15689029C22semidirect
98. #15689027C22semidirect
99. #15689025C22semidirect
101. #15689024C22semidirect
102. #15689022C22semidirect
103. #15689017C22semidirect
104. #15689016C22semidirect
105. #15689015C22semidirect
110. #15689014C22semidirect
111. #15689014C22semidirect
112. #15689014C22semidirect
113. #15689014C22semidirect
114. #15689014C22semidirect
115. #15689014C22semidirect
116. #15689014C22semidirect
117. #15689014C22semidirect
119. #15689013C22semidirect
120. #15689013C22semidirect
122. #15689012C22semidirect
123. #15689012C22semidirect
124. #15689011C22semidirect
125. #15689005C22semidirect
126. #15689004C22semidirect
130. #15689002C22semidirect
131. #15689002C22semidirect
136. #15689001C22semidirect
137. #15689001C22semidirect
138. #15689001C22semidirect
139. #15689001C22semidirect
144. #15688999C22semidirect
148. #15688997C22semidirect
149. #15688995C22semidirect
150. #15688994C22semidirect
151. #15688990C22semidirect
152. #15688989C22semidirect
153. #15688987C22semidirect
156. #15688985C22semidirect
157. #15688984C22semidirect
158. #15688982C22semidirect
159. #15688981C22semidirect
160. #15688980C22semidirect
161. #15688980C22semidirect
162. #15688980C22semidirect
169. C22⋊C4×Dic47C22semidirect
170. C2×C47⋊#95C22semidirect
171. C2×C47⋊#95C22semidirect
172. C2×#126×C47C22semidirect
173. C22×C42×C47C22semidirect
174. C47×#388C22semidirect
175. C47×#388C22semidirect
176. C47×#388C22semidirect
177. C47×#387C22semidirect
178. C47×#387C22semidirect
179. C47×#387C22semidirect
183. C47×#385C22semidirect
184. C47×#385C22semidirect
185. C47×#385C22semidirect
186. C47×#383C22semidirect
787. #2852D47semidirect
832. C2×#126C2×D47semidirect
849. C22×C42C2×D47semidirect
926. #388C2×D47semidirect
927. #388C2×D47semidirect
928. #388C2×D47semidirect
931. #387C2×D47semidirect
932. #387C2×D47semidirect
933. #387C2×D47semidirect
961. #385C2×D47semidirect
962. #385C2×D47semidirect
963. #385C2×D47semidirect
965. #383C2×D47semidirect
986. C47#36779semidirect

Maximal subgroups

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

subgroupindex
#202516892
#202510552
#202510482
#202510042
#202508202
#202508102
#202507702
#202507082
#202506082
#202505302
#202504972
#202504272
#202504242
#202503892
#202500102
#202497732
#202497692
#202491742
#202491362
#202479542
#202477122
#202471442
#202470532
#202469372
#202467822
#202467612
#202467142
#202460452
#202459622
C2×#156890142
C47×#28522
#3677947