Finite Group Databasebeta

← #26424613

Subgroups — #26424613

Order 12032.

2454 conjugacy classes of subgroups.

The subgroup lattice has 1786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20251680C211yesmaximal, characteristic, complemented
2#20251670C211yesmaximal, characteristic, complemented
3#20251007C211yesmaximal, characteristic, complemented
4#20251006C211yesmaximal, characteristic, complemented
5#20250764C211yesmaximal, characteristic, complemented
6#20250620C211yesmaximal, characteristic, complemented
7#20250611C211yesmaximal, characteristic, complemented
8#20250605C211yesmaximal, characteristic, complemented
9#20250531C211yesmaximal, characteristic, complemented
10#20250032C211yesmaximal, characteristic, complemented
11#20249952C211yesmaximal, characteristic, complemented
12#20249942C211yesmaximal, characteristic, complemented
13#20249828C211yesmaximal, characteristic, complemented
14#20249821C211yesmaximal, characteristic, complemented
15#20249765C211yesmaximal, characteristic, complemented
16#20249714C211yesmaximal, characteristic, complemented
17#20249690C211yesmaximal, characteristic, complemented
18#20249593C211yesmaximal, characteristic, complemented
19#20249341C211yesmaximal, characteristic, complemented
20#20249316C211yesmaximal, characteristic, complemented
21#20247948C211yesmaximal, characteristic, complemented
22#20247508C211yesmaximal, characteristic, complemented
23#20247138C211yesmaximal, characteristic, complemented
24#20247049C211yesmaximal, characteristic, complemented
25#20246924C211yesmaximal, characteristic, complemented
26#20246762C211yesmaximal, characteristic, complemented
27#20246756C211yesmaximal, characteristic, complemented
28#20246698C211yesmaximal, characteristic, complemented
29#20246046C211yesmaximal, characteristic, complemented
30#20245963C211yesmaximal, characteristic, complemented
31C2×C47×#386C211yesmaximal, characteristic, complemented
32C23×C22⋊D47C2211yescharacteristic
33C2×#13094010C2211yescharacteristic, complemented
34C2×#13094007C2211yescharacteristic, complemented
35C2×#13094007C2211yescharacteristic, complemented
36C2×#13094003C2211yescharacteristic, complemented
37C2×#13094001C2211yescharacteristic, complemented
38C2×#13093998C2211yescharacteristic
39C2×#13093998C2211yescharacteristic
40C2×#13093998C2211yescharacteristic, complemented
41C2×#13093998C2211yescharacteristic, complemented
42C2×#13093997C2211yescharacteristic, complemented
43C2×#13093996C2211yescharacteristic, complemented
44C2×#13093996C2211yescharacteristic, complemented
45C2×#13093994C2211yescharacteristic, complemented
46C2×#13093993C2211yescharacteristic
47C2×#13093993C2211yescharacteristic
48C2×#13093993C2211yescharacteristic
49C2×#13093993C2211yescharacteristic, complemented
50C2×#13093992C2211yescharacteristic
51C2×#13093992C2211yescharacteristic
52C2×C4×C22⋊D47C2211yescharacteristic, complemented
53C22×C22⋊Dic47C2211yescharacteristic
54C47⋊#401C2211yescharacteristic, complemented
55C47⋊#401C2211yescharacteristic, complemented
56#15689065C2211yescharacteristic, complemented
57#15689065C2211yescharacteristic, complemented
58#15689064C2211yescharacteristic, complemented
59#15689064C2211yescharacteristic, complemented
60#15689064C2211yescharacteristic, complemented
61#15689063C2211yescharacteristic, complemented
62#15689063C2211yescharacteristic, complemented
63#15689059C2211yescharacteristic, complemented
64#15689052C2211yescharacteristic, complemented
65#15689052C2211yescharacteristic, complemented
66#15689052C2211yescharacteristic, complemented
67#15689052C2211yescharacteristic, complemented
68#15689052C2211yescharacteristic, complemented
69#15689052C2211yescharacteristic, complemented
70#15689051C2211yescharacteristic, complemented
71#15689050C2211yescharacteristic, complemented
72#15689050C2211yescharacteristic, complemented
73#15689050C2211yescharacteristic, complemented
74#15689047C2211yescharacteristic, complemented
75#15689046C2211yescharacteristic, complemented
76#15689046C2211yescharacteristic, complemented
77#15689046C2211yescharacteristic, complemented
78#15689041C2211yescharacteristic, complemented
79#15689041C2211yescharacteristic, complemented
80#15689041C2211yescharacteristic, complemented
81#15689039C2211yescharacteristic, complemented
82#15689039C2211yescharacteristic, complemented
83#15689039C2211yescharacteristic, complemented
84#15689038C2211yescharacteristic, complemented
85#15689038C2211yescharacteristic, complemented
86#15689038C2211yescharacteristic, complemented
87#15689037C2211yescharacteristic
88#15689037C2211yescharacteristic
89#15689036C2211yescharacteristic, complemented
90#15689036C2211yescharacteristic, complemented
91#15689035C2211yescharacteristic, complemented
92#15689035C2211yescharacteristic, complemented
93#15689032C2211yescharacteristic, complemented
94#15689032C2211yescharacteristic, complemented
95#15689032C2211yescharacteristic, complemented
96#15689031C2211yescharacteristic
97#15689031C2211yescharacteristic
98#15689031C2211yescharacteristic
99#15689031C2211yescharacteristic
100#15689031C2211yescharacteristic
101#15689031C2211yescharacteristic
102#15689023C2211yescharacteristic, complemented
103#15689023C2211yescharacteristic, complemented
104#15689023C2211yescharacteristic, complemented
105#15689023C2211yescharacteristic, complemented
106#15689017C2211yescharacteristic, complemented
107#15689017C2211yescharacteristic, complemented
108#15689016C2211yescharacteristic, complemented
109#15689016C2211yescharacteristic, complemented
110#15689015C2211yescharacteristic, complemented
111#15689012C2211yescharacteristic, complemented
112#15689012C2211yescharacteristic, complemented
113#15689011C2211yescharacteristic, complemented
114#15689011C2211yescharacteristic, complemented
115#15689011C2211yescharacteristic, complemented
116#15689010C2211yescharacteristic, complemented
117#15689006C2211yescharacteristic, complemented
118#15689003C2211yescharacteristic
119#15689003C2211yescharacteristic
120#15689003C2211yescharacteristic, complemented
121#15689003C2211yescharacteristic, complemented
122#15689002C2211yescharacteristic
123#15689002C2211yescharacteristic
124#15689002C2211yescharacteristic
125#15689002C2211yescharacteristic
126#15689002C2211yescharacteristic
127#15689002C2211yescharacteristic
128#15689002C2211yescharacteristic
129#15689002C2211yescharacteristic
130#15689002C2211yescharacteristic, complemented
131#15689002C2211yescharacteristic, complemented
132#15689002C2211yescharacteristic, complemented
133#15689002C2211yescharacteristic, complemented
134#15689002C2211yescharacteristic, complemented
135#15689002C2211yescharacteristic, complemented
136#15689002C2211yescharacteristic, complemented
137#15689002C2211yescharacteristic, complemented
138#15689001C2211yescharacteristic, complemented
139#15689000C2211yescharacteristic, complemented
140#15689000C2211yescharacteristic, complemented
141#15689000C2211yescharacteristic, complemented
142#15689000C2211yescharacteristic, complemented
143#15689000C2211yescharacteristic, complemented
144#15688999C2211yescharacteristic, complemented
145#15688999C2211yescharacteristic, complemented
146#15688999C2211yescharacteristic, complemented
147#15688998C2211yescharacteristic, complemented
148#15688998C2211yescharacteristic, complemented
149#15688996C2211yescharacteristic, complemented
150#15688996C2211yescharacteristic, complemented
151#15688996C2211yescharacteristic, complemented
152#15688996C2211yescharacteristic, complemented
153#15688996C2211yescharacteristic, complemented
154#15688996C2211yescharacteristic, complemented
155#15688995C2211yescharacteristic, complemented
156#15688990C2211yescharacteristic, complemented
157#15688986C2211yescharacteristic, complemented
158#15688986C2211yescharacteristic, complemented
159#15688985C2211yescharacteristic, complemented
160#15688984C2211yescharacteristic, complemented
161#15688984C2211yescharacteristic, complemented
162#15688983C2211yescharacteristic, complemented
163#15688983C2211yescharacteristic, complemented
164#15688983C2211yescharacteristic, complemented
165#15688981C2211yescharacteristic, complemented
166#15688979C2211yescharacteristic
167#15688979C2211yescharacteristic, complemented
168#15688978C2211yescharacteristic, complemented
169#15688978C2211yescharacteristic, complemented
170#15688978C2211yescharacteristic, complemented
171C4×C22⋊Dic47C2211yescharacteristic, complemented
172C23×D4×C47C2211yescharacteristic
173C24×C4×C47C2211yescharacteristic, complemented
174C22×C22⋊C4×C47C2211yescharacteristic
175C22×C22⋊C4×C47C2211yescharacteristic
176C22×C22⋊C4×C47C2211yescharacteristic, complemented
177C47×#386C2211yescharacteristic
178C47×#386C2211yescharacteristic
179C47×#386C2211yescharacteristic
180C47×#386C2211yescharacteristic
181C47×#386C2211yescharacteristic, complemented
182C47×#386C2211yescharacteristic, complemented
183C47×#386C2211yescharacteristic, complemented
184C47×#386C2211yescharacteristic, complemented
185C2×#95×C47C2211yescharacteristic, complemented
186C2×#95×C47C2211yescharacteristic, complemented
187C24×D47C2311yescharacteristic
188C22×Dic94C2311yescharacteristic
189C22×D188C2311yescharacteristic
190C22×D188C2311yescharacteristic
191C22×C22⋊D47—24no—
192C22×C22⋊D47—42no—
193C22×C22⋊D47—42no—
194C22×C22⋊D47C2311yescharacteristic
195C22×C22⋊D47C2311yescharacteristic
196C22×C22⋊D47C2311yescharacteristic
197C22×C22⋊D47C2311yescharacteristic
198C22×C22⋊D47C2311yescharacteristic
199C22×C22⋊D47C2311yescharacteristic
200C22×C22⋊D47C2311yescharacteristic
201C22×C22⋊D47C2311yescharacteristic
202C22×C22⋊D47C2311yescharacteristic
203C22×C22⋊D47C2311yescharacteristic
204C22×C22⋊D47C2311yescharacteristic
205C22×C22⋊D47C2311yescharacteristic
206C22×C22⋊D47C2311yescharacteristic
207C23×Dic47C2311yescharacteristic
208C23×Dic47C2311yescharacteristic
209C23×Dic47C2311yescharacteristic
210C22×C4×D47C2311yescharacteristic
211#13094010—42no—
212#13094007—42no—
213#13094007—42no—
214#13094003—42no—
215#13094001—42no—
216#13093998—42no—
217#13093998—42no—
218#13093998—42no—
219#13093998—42no—
220#13093997—42no—
221#13093996—42no—
222#13093996—42no—
223#13093994—42no—
224#13093993—24no—
225#13093993—42no—
226#13093993—42no—
227#13093993—42no—
228#13093992—42no—
229#13093992—42no—
230C4×C22⋊D47—42no—
231C2×C4⋊Dic47C2311yescharacteristic
232C2×C4⋊Dic47C2311yescharacteristic
233C2×C4⋊Dic47C2311yescharacteristic
234C2×C4⋊Dic47C2311yescharacteristic
235C2×C4⋊Dic47C2311yescharacteristic
236C2×Dic47⋊C4C2311yescharacteristic
237C2×Dic47⋊C4C2311yescharacteristic
238C2×Dic47⋊C4C2311yescharacteristic
239C2×Dic47⋊C4C2311yescharacteristic
240C2×Dic47⋊C4C2311yescharacteristic
241C2×Dic47⋊C4C2311yescharacteristic
242C2×Dic47⋊C4C2311yescharacteristic
243C2×Dic47⋊C4C2311yescharacteristic
244C2×Dic47⋊C4C2311yescharacteristic
245C2×Dic47⋊C4C2311yescharacteristic
246C2×Dic47⋊C4C2311yescharacteristic
247C2×C22⋊Dic47—42no—
248C2×C22⋊Dic47C2311yescharacteristic
249C2×C22⋊Dic47C2311yescharacteristic
250C2×C22⋊Dic47C2311yescharacteristic
251C2×C22⋊Dic47C2311yescharacteristic
252C2×C22⋊Dic47C2311yescharacteristic
253C2×C22⋊Dic47C2311yescharacteristic
254C2×C22⋊Dic47C2311yescharacteristic
255C2×C22⋊Dic47C2311yescharacteristic
256C2×C22⋊Dic47C2311yescharacteristic
257C2×C22⋊Dic47C2311yescharacteristic
258C2×C22⋊Dic47C2311yescharacteristic
259C2×C22⋊Dic47C2311yescharacteristic
260C2×C22⋊Dic47C2311yescharacteristic
261C2×C22⋊Dic47C2311yescharacteristic
262C2×C22⋊Dic47C2311yescharacteristic
263C2×C22⋊Dic47C2311yescharacteristic
264C2×C22⋊Dic47C2311yescharacteristic
265C2×C22⋊Dic47C2311yescharacteristic
266C2×C22⋊Dic47C2311yescharacteristic
267C2×C22⋊Dic47C2311yescharacteristic
268C2×C22⋊Dic47C2311yescharacteristic
269C2×C22⋊Dic47C2311yescharacteristic
270C2×C22⋊Dic47C2311yescharacteristic
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
290C2×(C2×D47)⋊C4C2311yescharacteristic
291C2×(C2×D47)⋊C4C2311yescharacteristic
292C2×(C2×D47)⋊C4C2311yescharacteristic
293C2×(C2×D47)⋊C4C2311yescharacteristic
294C2×(C2×D47)⋊C4C2311yescharacteristic
295C2×(C2×D47)⋊C4C2311yescharacteristic
296C2×C4×Dic47C2311yescharacteristic
297C2×C4×Dic47C2311yescharacteristic
298C2×C4×Dic47C2311yescharacteristic
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
331C25×C47C2311yescharacteristic
332C25×C47C2311yescharacteristic
333C22×D4×C47—24no—
334C22×D4×C47—42no—
335C22×D4×C47—42no—
336C22×D4×C47C2311yescharacteristic
337C22×D4×C47C2311yescharacteristic
338C22×D4×C47C2311yescharacteristic
339C22×D4×C47C2311yescharacteristic
340C23×C4×C47—42no—
341C23×C4×C47—42no—
342C23×C4×C47—42no—
343C23×C4×C47C2311yescharacteristic
344C23×C4×C47C2311yescharacteristic
345C23×C4×C47C2311yescharacteristic
346C23×C4×C47C2311yescharacteristic
347C23×C4×C47C2311yescharacteristic
348C23×C4×C47C2311yescharacteristic
349C23×C4×C47C2311yescharacteristic
350C23×C4×C47C2311yescharacteristic
351C23×C4×C47C2311yescharacteristic
352C2×C22⋊C4×C47—42no—
353C2×C22⋊C4×C47—42no—
354C2×C22⋊C4×C47—42no—
355C2×C22⋊C4×C47C2311yescharacteristic
356C2×C22⋊C4×C47C2311yescharacteristic
357C2×C22⋊C4×C47C2311yescharacteristic
358C2×C22⋊C4×C47C2311yescharacteristic
359C2×C22⋊C4×C47C2311yescharacteristic
360C2×C22⋊C4×C47C2311yescharacteristic
361C2×C22⋊C4×C47C2311yescharacteristic
362C2×C22⋊C4×C47C2311yescharacteristic
363C2×C22⋊C4×C47C2311yescharacteristic
364C2×C22⋊C4×C47C2311yescharacteristic
365C2×C22⋊C4×C47C2311yescharacteristic
366C2×C22⋊C4×C47C2311yescharacteristic
367#95×C47C2311yescharacteristic
368#95×C47C2311yescharacteristic
369#95×C47C2311yescharacteristic
370#95×C47C2311yescharacteristic
371#95×C47C2311yescharacteristic
372#95×C47C2311yescharacteristic
373#95×C47C2311yescharacteristic
374#95×C47C2311yescharacteristic
375C24×C47—22no—
376C24×C47—22no—
377C24×C47—22no—
378C24×C47—22no—
379C24×C47—22no—
380C24×C47—22no—
381C24×C47—22no—
382C24×C47—41no—
383C24×C47—41no—
384C24×C47—41no—
385C24×C47—41no—
386C24×C47—41no—
387C24×C47—41no—
388C24×C47#4114yes—
389C24×C47C2411yescharacteristic
390C24×C47C2411yescharacteristic
391C24×C47C2411yescharacteristic
392C24×C47C2411yescharacteristic
393C24×C47C2411yescharacteristic
394C23×D47—22no—
395C23×D47—41no—
396C23×D47—41no—
397C23×D47—41no—
398C23×D47—41no—
399C23×D47—41no—
400C23×D47—41no—
401C23×D47C2411yescharacteristic
402C23×D47C2411yescharacteristic
403C23×D47C2411yescharacteristic
404C2×D4×C47—22no—
405C2×D4×C47—22no—
406C2×D4×C47—22no—
407C2×D4×C47—22no—
408C2×D4×C47—22no—
409C2×D4×C47—22no—
410C2×D4×C47—22no—
411C2×D4×C47—22no—
412C2×D4×C47—41no—
413C2×D4×C47—41no—
414C2×D4×C47—41no—
415C2×D4×C47—41no—
416C2×D4×C47—416no—
417C22×C4×C47—22no—
418C22×C4×C47—22no—
419C22×C4×C47—22no—
420C22×C4×C47—22no—
421C22×C4×C47—22no—
422C22×C4×C47—22no—
423C22×C4×C47—22no—
424C22×C4×C47—22no—
425C22×C4×C47—22no—
426C22×C4×C47—22no—
427C22×C4×C47—41no—
428C22×C4×C47—41no—
429C22×C4×C47—41no—
430C22×C4×C47—41no—
431C22×C4×C47—41no—
432C22×C4×C47—41no—
433C22×C4×C47—41no—
434C22×C4×C47—41no—
435C22×C4×C47—41no—
436C22×C4×C47—41no—
437C22×C4×C47—41no—
438C22×C4×C47—41no—
439C22×C4×C47—41no—
440C22×C4×C47—41no—
441C22×C4×C47—41no—
442C22×C4×C47—41no—
443C22×C4×C47—41no—
444C22×C4×C47—416no—
445C22×C4×C47C2411yescharacteristic
446C22×C4×C47C2411yescharacteristic
447C22×C4×C47C2411yescharacteristic
448C22×C4×C47C2411yescharacteristic
449C22×C4×C47C2411yescharacteristic
450C22×C4×C47C2411yescharacteristic
451C22×C4×C47C2411yescharacteristic
452C22×C4×C47C2411yescharacteristic
453C22×C4×C47C2411yescharacteristic
454C22×C4×C47C2411yescharacteristic
455C2×C22⋊D47—22no—
456C2×C22⋊D47—22no—
457C2×C22⋊D47—22no—
458C2×C22⋊D47—22no—
459C2×C22⋊D47—22no—
460C2×C22⋊D47—22no—
461C2×C22⋊D47—22no—
462C2×C22⋊D47—22no—
463C2×C22⋊D47—22no—
464C2×C22⋊D47—22no—
465C2×C22⋊D47—22no—
466C2×C22⋊D47—22no—
467C2×C22⋊D47—22no—
468C2×C22⋊D47—22no—
469C2×C22⋊D47—22no—
470C2×C22⋊D47—22no—
471C2×C22⋊D47—22no—
472C2×C22⋊D47—22no—
473C2×C22⋊D47—22no—
474C2×C22⋊D47—41no—
475C2×C22⋊D47—41no—
476C2×C22⋊D47—41no—
477C2×C22⋊D47—41no—
478C2×C22⋊D47—41no—
479C2×C22⋊D47—41no—
480C2×C22⋊D47—41no—
481C2×C22⋊D47—41no—
482C2×C22⋊D47—41no—
483C2×C22⋊D47—41no—
484C2×C22⋊D47—41no—
485C2×C22⋊D47—41no—
486C2×C22⋊D47—41no—
487C2×C22⋊D47—41no—
488C2×C22⋊D47—41no—
489C2×C22⋊D47—41no—
490C2×C22⋊D47—41no—
491C2×C22⋊D47—41no—
492C2×C22⋊D47—41no—
493C2×C22⋊D47—41no—
494C2×C22⋊D47—416no—
495C22×Dic47—22no—
496C22×Dic47—41no—
497C22×Dic47—41no—
498C22×Dic47—41no—
499C22×Dic47—41no—
500C22×Dic47—41no—
501C22×Dic47—41no—
502C22×Dic47—41no—
503C22×Dic47—41no—
504C22×Dic47C2411yescharacteristic
505C22×Dic47C2411yescharacteristic
506C22×Dic47C2411yescharacteristic
507C22×Dic47C2411yescharacteristic
508C22×Dic47C2411yescharacteristic
509C22×Dic47C2411yescharacteristic
510C22×Dic47C2411yescharacteristic
511C22×Dic47C2411yescharacteristic
512C22×Dic47C2411yescharacteristic
513C22×Dic47C2411yescharacteristic
514C22×Dic47C2411yescharacteristic
515C22×Dic47C2411yescharacteristic
516C22×Dic47C2411yescharacteristic
517C2×D188—22no—
518C2×D188—41no—
519C2×D188—41no—
520C2×D188—41no—
521C2×D188—41no—
522C2×D188—41no—
523C2×C4×D47—41no—
524C2×C4×D47—41no—
525C2×C4×D47—41no—
526C2×Dic94—41no—
527C2×Dic94—41no—
528C2×Dic94—41no—
529C22⋊C4×C47—22no—
530C22⋊C4×C47—22no—
531C22⋊C4×C47—22no—
532C22⋊C4×C47—22no—
533C22⋊C4×C47—41no—
534C22⋊C4×C47—41no—
535C22⋊C4×C47—41no—
536C22⋊C4×C47—41no—
537C22⋊C4×C47—41no—
538C22⋊C4×C47—41no—
539C22⋊C4×C47—41no—
540C22⋊C4×C47—41no—
541C22⋊Dic47—22no—
542C22⋊Dic47—22no—
543C22⋊Dic47—22no—
544C22⋊Dic47—22no—
545C22⋊Dic47—22no—
546C22⋊Dic47—22no—
547C22⋊Dic47—22no—
548C22⋊Dic47—22no—
549C22⋊Dic47—22no—
550C22⋊Dic47—41no—
551C22⋊Dic47—41no—
552C22⋊Dic47—41no—
553C22⋊Dic47—41no—
554C22⋊Dic47—41no—
555C22⋊Dic47—41no—
556C22⋊Dic47—41no—
557C22⋊Dic47—41no—
558C22⋊Dic47—41no—
559C22⋊Dic47—41no—
560C22⋊Dic47—41no—
561C22⋊Dic47—41no—
562C22⋊Dic47—41no—
563C22⋊Dic47—41no—
564(C2×D47)⋊C4—22no—
565(C2×D47)⋊C4—41no—
566(C2×D47)⋊C4—41no—
567(C2×D47)⋊C4—41no—
568(C2×D47)⋊C4—41no—
569(C2×D47)⋊C4—41no—
570(C2×D47)⋊C4—41no—
571(C2×D47)⋊C4—41no—
572(C2×D47)⋊C4—41no—
573(C2×D47)⋊C4—41no—
574(C2×D47)⋊C4—41no—
575(C2×D47)⋊C4—41no—
576(C2×D47)⋊C4—41no—
577(C2×D47)⋊C4—41no—
578(C2×D47)⋊C4—41no—
579(C2×D47)⋊C4—41no—
580(C2×D47)⋊C4—41no—
581(C2×D47)⋊C4—41no—
582(C2×D47)⋊C4—41no—
583(C2×D47)⋊C4—41no—
584(C2×D47)⋊C4—41no—
585(C2×D47)⋊C4—41no—
586(C2×D47)⋊C4—41no—
587(C2×D47)⋊C4—41no—
588(C2×D47)⋊C4—41no—
589C4⋊Dic47—22no—
590C4⋊Dic47—41no—
591C4⋊Dic47—41no—
592C4⋊Dic47—41no—
593C4⋊Dic47—41no—
594Dic47⋊C4—22no—
595Dic47⋊C4—41no—
596Dic47⋊C4—41no—
597Dic47⋊C4—41no—
598Dic47⋊C4—41no—
599Dic47⋊C4—41no—
600Dic47⋊C4—41no—
601Dic47⋊C4—41no—
602Dic47⋊C4—41no—
603Dic47⋊C4—41no—
604Dic47⋊C4—41no—
605C4×Dic47—41no—
606C4×Dic47—41no—
607C4×Dic47—41no—
608C23×C47—21no—
609C23×C47—21no—
610C23×C47—21no—
611C23×C47—21no—
612C23×C47—28no—
613C23×C47—21no—
614C23×C47—21no—
615C23×C47—21no—
616C23×C47—21no—
617C23×C47—21no—
618C23×C47—21no—
619C23×C47—21no—
620C23×C47—21no—
621C23×C47—21no—
622C23×C47—21no—
623C23×C47—21no—
624C23×C47—21no—
625C23×C47—21no—
626C23×C47—21no—
627C23×C47—21no—
628C23×C47—21no—
629C23×C47—21no—
630C23×C47—21no—
631C23×C47—21no—
632C23×C47—21no—
633C23×C47—21no—
634C23×C47—21no—
635C23×C47—21no—
636C23×C47—21no—
637C23×C47—28no—
638C23×C47—44no—
639C23×C47—44no—
640C23×C47—44no—
641C23×C47—44no—
642C23×C47—44no—
643C23×C47—44no—
644C23×C47—44no—
645C23×C47—44no—
646C23×C47—82no—
647C23×C47—82no—
648C23×C47—82no—
649C23×C47—82no—
650C23×C47C2×#4112yes—
651C23×C47C2×#4112yes—
652C23×C47C2×#4112yes—
653C23×C47H(5,𝔽2)12yes—
654C23×C47H(5,𝔽2)12yes—
655C23×C47H(5,𝔽2)12yes—
656C23×C47H(5,𝔽2)12yes—
657C23×C47C2511yescharacteristic
658C22×D47—21no—
659C22×D47—21no—
660C22×D47—21no—
661C22×D47—21no—
662C22×D47—21no—
663C22×D47—21no—
664C22×D47—21no—
665C22×D47—21no—
666C22×D47—21no—
667C22×D47—21no—
668C22×D47—21no—
669C22×D47—21no—
670C22×D47—21no—
671C22×D47—21no—
672C22×D47—21no—
673C22×D47—21no—
674C22×D47—21no—
675C22×D47—21no—
676C22×D47—21no—
677C22×D47—21no—
678C22×D47—21no—
679C22×D47—44no—
680C22×D47—82no—
681C22×D47—82no—
682C22×D47—82no—
683C22×D47—82no—
684C22×D47—82no—
685C22×D47—82no—
686D4×C47—44no—
687D4×C47—44no—
688D4×C47—44no—
689D4×C47—44no—
690C2×C4×C47—21no—
691C2×C4×C47—21no—
692C2×C4×C47—21no—
693C2×C4×C47—21no—
694C2×C4×C47—21no—
695C2×C4×C47—21no—
696C2×C4×C47—21no—
697C2×C4×C47—21no—
698C2×C4×C47—21no—
699C2×C4×C47—21no—
700C2×C4×C47—21no—
701C2×C4×C47—21no—
702C2×C4×C47—21no—
703C2×C4×C47—21no—
704C2×C4×C47—21no—
705C2×C4×C47—21no—
706C2×C4×C47—21no—
707C2×C4×C47—21no—
708C2×C4×C47—21no—
709C2×C4×C47—21no—
710C2×C4×C47—21no—
711C2×C4×C47—21no—
712C2×C4×C47—21no—
713C2×C4×C47—21no—
714C2×C4×C47—21no—
715C2×C4×C47—21no—
716C2×C4×C47—21no—
717C2×C4×C47—21no—
718C2×C4×C47—21no—
719C2×C4×C47—44no—
720C2×C4×C47—44no—
721C2×C4×C47—44no—
722C2×C4×C47—44no—
723C2×C4×C47—44no—
724C2×C4×C47—44no—
725C2×C4×C47—44no—
726C2×C4×C47—82no—
727C2×C4×C47—82no—
728C2×C4×C47H(5,𝔽2)12yes—
729C22⋊D47—44no—
730C22⋊D47—44no—
731C22⋊D47—44no—
732C22⋊D47—44no—
733C22⋊D47—44no—
734C22⋊D47—82no—
735C22⋊D47—82no—
736C22⋊D47—82no—
737C22⋊D47—82no—
738C22⋊D47—82no—
739C22⋊D47—82no—
740C22⋊D47—82no—
741C22⋊D47—82no—
742C2×Dic47—21no—
743C2×Dic47—21no—
744C2×Dic47—21no—
745C2×Dic47—21no—
746C2×Dic47—21no—
747C2×Dic47—21no—
748C2×Dic47—21no—
749C2×Dic47—21no—
750C2×Dic47—21no—
751C2×Dic47—21no—
752C2×Dic47—21no—
753C2×Dic47—21no—
754C2×Dic47—21no—
755C2×Dic47—21no—
756C2×Dic47—21no—
757C2×Dic47—21no—
758C2×Dic47—21no—
759C2×Dic47—21no—
760C2×Dic47—21no—
761C2×Dic47—21no—
762C2×Dic47—21no—
763C2×Dic47—21no—
764C2×Dic47—21no—
765C2×Dic47—21no—
766C2×Dic47—21no—
767C2×Dic47—21no—
768C2×Dic47—21no—
769C2×Dic47—21no—
770C2×Dic47—21no—
771C2×Dic47—21no—
772C2×Dic47—21no—
773C2×Dic47—21no—
774C2×Dic47—21no—
775C2×Dic47—21no—
776C2×Dic47—21no—
777C2×Dic47—21no—
778C2×Dic47—21no—
779C2×Dic47—21no—
780C2×Dic47—21no—
781C2×Dic47—44no—
782C2×Dic47—82no—
783C2×Dic47—82no—
784D188—82no—
785D188—82no—
786C4×D47—82no—
787Dic94—82no—
788#36776—471nomaximal, Sylow
789C22×C47—22no—
790C22×C47—22no—
791C22×C47—22no—
792C22×C47—22no—
793C22×C47—22no—
794C22×C47—22no—
795C22×C47—22no—
796C22×C47—22no—
797C22×C47—22no—
798C22×C47—22no—
799C22×C47—22no—
800C22×C47—22no—
801C22×C47—22no—
802C22×C47—22no—
803C22×C47—22no—
804C22×C47—22no—
805C22×C47—22no—
806C22×C47—22no—
807C22×C47—416no—
808C22×C47—41no—
809C22×C47—41no—
810C22×C47—41no—
811C22×C47—41no—
812C22×C47—41no—
813C22×C47—41no—
814C22×C47—41no—
815C22×C47—41no—
816C22×C47—41no—
817C22×C47—41no—
818C22×C47—41no—
819C22×C47—41no—
820C22×C47—41no—
821C22×C47—41no—
822C22×C47—41no—
823C22×C47—41no—
824C22×C47—88no—
825C22×C47#53814yes—
826C22×C47C22×#4111yescharacteristic
827C22×C47C2×H(5,𝔽2)11yescharacteristic
828C22×C47C2×H(5,𝔽2)11yescharacteristic
829C22×C47C2×H(5,𝔽2)11yescharacteristic
830C22×C47C2×H(5,𝔽2)11yescharacteristic
831C22×C47C2×H(5,𝔽2)11yescharacteristic
832C22×C47#58511yescharacteristic
833C2×D47—41no—
834C2×D47—41no—
835C2×D47—41no—
836C2×D47—41no—
837C2×D47—41no—
838C2×D47—41no—
839C2×D47—41no—
840C2×D47—41no—
841C2×D47—41no—
842C2×D47—41no—
843C2×D47—41no—
844C2×D47—41no—
845C2×D47—41no—
846C2×D47—41no—
847C2×D47—41no—
848C2×D47—41no—
849C2×D47—41no—
850C2×D47—41no—
851C2×D47—41no—
852C2×D47—41no—
853C2×D47—41no—
854C2×D47—88no—
855C4×C47—22no—
856C4×C47—41no—
857C4×C47—41no—
858C4×C47—41no—
859C4×C47—41no—
860C4×C47—41no—
861C4×C47—41no—
862C4×C47—41no—
863C4×C47—41no—
864C4×C47—41no—
865Dic47—41no—
866Dic47—41no—
867Dic47—41no—
868Dic47—41no—
869Dic47—41no—
870Dic47—41no—
871Dic47—41no—
872Dic47—41no—
873Dic47—41no—
874Dic47—41no—
875Dic47—41no—
876Dic47—41no—
877Dic47—41no—
878#2849—471no—
879#2847—471no—
880#2778—471no—
881#2778—471no—
882#2760—471no—
883#2750—471no—
884#2749—471no—
885#2749—471no—
886#2743—471no—
887#2703—471no—
888#2697—471no—
889#2696—471no—
890#2688—471no—
891#2688—471no—
892#2684—471no—
893#2678—471no—
894#2676—471no—
895#2668—471no—
896#2643—471no—
897#2639—471no—
898#2510—471no—
899#2472—471no—
900#2444—471no—
901#2437—471no—
902#2424—471no—
903#2410—471no—
904#2410—471no—
905#2403—471no—
906#2321—471no—
907#2308—471no—
908C2×#386D4711yescharacteristic, complemented
909C2×C47—24no—
910C2×C47—42no—
911C2×C47—42no—
912C2×C47—42no—
913C2×C47—42no—
914C2×C47C2×#53811yescharacteristic
915C2×C47#349011yescharacteristic
916C2×C47#350511yescharacteristic
917C2×C47#353211yescharacteristic
918C2×C47#353411yescharacteristic
919C2×C47#353411yescharacteristic
920C2×C47#353711yescharacteristic
921D47—81no—
922D47—81no—
923D47—81no—
924C23×D4—471no—
925C23×D4C2×D4711yescharacteristic
926C24×C4C2×D4711yescharacteristic, complemented
927C2×#124—471no—
928C2×#123—471no—
929C2×#123—471no—
930C2×C22⋊Q8—471no—
931C2×C22⋊Q8—471no—
932C2×#121—471no—
933C2×#121—471no—
934C2×#121—471no—
935C2×#121—471no—
936C2×#121—471no—
937C2×#121—471no—
938C2×#121—471no—
939C2×#120—471no—
940C2×#120—471no—
941C2×#120—471no—
942C2×#120—471no—
943C2×#120—471no—
944C2×#120—471no—
945C2×#120—471no—
946C2×C4×D4—471no—
947C22×C22⋊C4—471no—
948C22×C22⋊C4C2×D4711yescharacteristic
949C22×C22⋊C4C2×D4711yescharacteristic
950C22×C22⋊C4C2×D4711yescharacteristic, complemented
951#401—471no—
952#401—471no—
953#400—471no—
954#400—471no—
955#400—471no—
956#400—471no—
957#400—471no—
958#400—471no—
959#400—471no—
960#399—471no—
961#397—471no—
962#397—471no—
963#397—471no—
964#397—471no—
965#397—471no—
966#397—471no—
967#397—471no—
968#397—471no—
969#397—471no—
970#397—471no—
971#396—471no—
972#396—471no—
973#396—471no—
974#396—471no—
975#394—471no—
976#394—471no—
977#394—471no—
978#394—471no—
979#394—471no—
980#394—471no—
981#394—471no—
982#394—471no—
983#394—471no—
984#394—471no—
985#394—471no—
986#393—471no—
987#393—471no—
988#393—471no—
989#393—471no—
990#392—471no—
991#392—471no—
992#392—471no—
993#392—471no—
994#392—471no—
995#392—471no—
996#392—471no—
997#392—471no—
998#392—471no—
999#390—471no—
1000#390—471no—
1001#390—471no—
1002#390—471no—
1003#388—471no—
1004#388—471no—
1005#388—471no—
1006#388—471no—
1007#388—471no—
1008#388—471no—
1009#388—471no—
1010#388—471no—
1011#388—471no—
1012#388—471no—
1013#387—471no—
1014#387—471no—
1015#386—471no—
1016#386—471no—
1017#386—471no—
1018#386—471no—
1019#386—471no—
1020#386—471no—
1021#386—471no—
1022#386—471no—
1023#386—471no—
1024#386—471no—
1025#386—471no—
1026#386—471no—
1027#386—471no—
1028#386—471no—
1029#386—471no—
1030#386—471no—
1031#386—471no—
1032#386—471no—
1033#386—471no—
1034#386—471no—
1035#386—471no—
1036#386—471no—
1037#386—471no—
1038#386—471no—
1039#386—471no—
1040#386—471no—
1041#386—471no—
1042#386—471no—
1043#386—471no—
1044#386C2×D4711yescharacteristic
1045#386C2×D4711yescharacteristic
1046#386C2×D4711yescharacteristic
1047#386C2×D4711yescharacteristic
1048#386C2×D4711yescharacteristic, complemented
1049#386C2×D4711yescharacteristic, complemented
1050#386C2×D4711yescharacteristic, complemented
1051#386C2×D4711yescharacteristic, complemented
1052#385—471no—
1053#385—471no—
1054#385—471no—
1055#385—471no—
1056#385—471no—
1057#385—471no—
1058#385—471no—
1059#385—471no—
1060#385—471no—
1061#383—471no—
1062#381—471no—
1063#381—471no—
1064#381—471no—
1065#381—471no—
1066#381—471no—
1067#380—471no—
1068#380—471no—
1069#380—471no—
1070#380—471no—
1071#379—471no—
1072#379—471no—
1073#379—471no—
1074#379—471no—
1075#379—471no—
1076C4×C22⋊C4—471no—
1077C2×#95C2×D4711yescharacteristic, complemented
1078C2×#95C2×D4711yescharacteristic, complemented
1079C47#3677611yescharacteristic, complemented, Sylow
1080C25—471no—
1081C25C22×D4711yescharacteristic
1082C25C22×D4711yescharacteristic
1083C22×Q8—471no—
1084C22×D4—24no—
1085C22×D4—42no—
1086C22×D4—42no—
1087C22×D4—471no—
1088C22×D4—471no—
1089C22×D4—471no—
1090C22×D4—471no—
1091C22×D4—471no—
1092C22×D4—471no—
1093C22×D4—471no—
1094C22×D4—471no—
1095C22×D4—471no—
1096C22×D4—471no—
1097C22×D4—471no—
1098C22×D4—471no—
1099C22×D4—471no—
1100C22×D4—471no—
1101C22×D4—471no—
1102C22×D4—944no—
1103C22×D4—1882no—
1104C22×D4—1882no—
1105C22×D4C22×D4711yescharacteristic
1106C22×D4C22×D4711yescharacteristic
1107C22×D4C22×D4711yescharacteristic
1108C22×D4C22×D4711yescharacteristic
1109C23×C4—42no—
1110C23×C4—42no—
1111C23×C4—42no—
1112C23×C4—471no—
1113C23×C4—471no—
1114C23×C4—471no—
1115C23×C4—471no—
1116C23×C4C22×D4711yescharacteristic
1117C23×C4C22×D4711yescharacteristic
1118C23×C4C22×D4711yescharacteristic
1119C23×C4C22×D4711yescharacteristic
1120C23×C4C22×D4711yescharacteristic
1121C23×C4C22×D4711yescharacteristic
1122C23×C4C22×D4711yescharacteristic
1123C23×C4C22×D4711yescharacteristic
1124C23×C4C22×D4711yescharacteristic
1125#124—1882no—
1126#123—1882no—
1127#123—1882no—
1128C22⋊Q8—1882no—
1129C22⋊Q8—1882no—
1130#121—1882no—
1131#121—1882no—
1132#121—1882no—
1133#121—1882no—
1134#121—1882no—
1135#121—1882no—
1136#121—1882no—
1137#120—944no—
1138#120—1882no—
1139#120—1882no—
1140#120—1882no—
1141#120—1882no—
1142#120—1882no—
1143#120—1882no—
1144C4×D4—1882no—
1145C2×C4⋊C4—471no—
1146C2×C4⋊C4—471no—
1147C2×C4⋊C4—471no—
1148C2×C4⋊C4—471no—
1149C2×C4⋊C4—471no—
1150C2×C4⋊C4—471no—
1151C2×C4⋊C4—471no—
1152C2×C4⋊C4—471no—
1153C2×C4⋊C4—471no—
1154C2×C4⋊C4—471no—
1155C2×C4⋊C4—471no—
1156C2×C4⋊C4—471no—
1157C2×C4⋊C4—471no—
1158C2×C4⋊C4—471no—
1159C2×C4⋊C4—471no—
1160C2×C4⋊C4—471no—
1161C2×C22⋊C4—42no—
1162C2×C22⋊C4—42no—
1163C2×C22⋊C4—42no—
1164C2×C22⋊C4—471no—
1165C2×C22⋊C4—471no—
1166C2×C22⋊C4—471no—
1167C2×C22⋊C4—471no—
1168C2×C22⋊C4—471no—
1169C2×C22⋊C4—471no—
1170C2×C22⋊C4—471no—
1171C2×C22⋊C4—471no—
1172C2×C22⋊C4—471no—
1173C2×C22⋊C4—471no—
1174C2×C22⋊C4—471no—
1175C2×C22⋊C4—471no—
1176C2×C22⋊C4—471no—
1177C2×C22⋊C4—471no—
1178C2×C22⋊C4—471no—
1179C2×C22⋊C4—471no—
1180C2×C22⋊C4—471no—
1181C2×C22⋊C4—471no—
1182C2×C22⋊C4—471no—
1183C2×C22⋊C4—471no—
1184C2×C22⋊C4—471no—
1185C2×C22⋊C4—471no—
1186C2×C22⋊C4—471no—
1187C2×C22⋊C4—471no—
1188C2×C22⋊C4—471no—
1189C2×C22⋊C4—471no—
1190C2×C22⋊C4—471no—
1191C2×C22⋊C4—471no—
1192C2×C22⋊C4—471no—
1193C2×C22⋊C4—471no—
1194C2×C22⋊C4—471no—
1195C2×C22⋊C4—471no—
1196C2×C22⋊C4—471no—
1197C2×C22⋊C4—471no—
1198C2×C22⋊C4—471no—
1199C2×C22⋊C4—471no—
1200C2×C22⋊C4—471no—
1201C2×C22⋊C4—471no—
1202C2×C22⋊C4—471no—
1203C2×C22⋊C4—471no—
1204C2×C22⋊C4—471no—
1205C2×C22⋊C4—471no—
1206C2×C22⋊C4—471no—
1207C2×C22⋊C4—471no—
1208C2×C22⋊C4—471no—
1209C2×C22⋊C4—471no—
1210C2×C22⋊C4—471no—
1211C2×C22⋊C4—471no—
1212C2×C22⋊C4—1882no—
1213C2×C22⋊C4C22×D4711yescharacteristic
1214C2×C22⋊C4C22×D4711yescharacteristic
1215C2×C22⋊C4C22×D4711yescharacteristic
1216C2×C22⋊C4C22×D4711yescharacteristic
1217C2×C22⋊C4C22×D4711yescharacteristic
1218C2×C22⋊C4C22×D4711yescharacteristic
1219C2×C22⋊C4C22×D4711yescharacteristic
1220C2×C22⋊C4C22×D4711yescharacteristic
1221C2×C22⋊C4C22×D4711yescharacteristic
1222C2×C22⋊C4C22×D4711yescharacteristic
1223C2×C22⋊C4C22×D4711yescharacteristic
1224C2×C22⋊C4C22×D4711yescharacteristic
1225C2×C42—471no—
1226C2×C42—471no—
1227C2×C42—471no—
1228#95—471no—
1229#95—471no—
1230#95—471no—
1231#95—471no—
1232#95—471no—
1233#95—471no—
1234#95—471no—
1235#95—471no—
1236#95—471no—
1237#95—471no—
1238#95—471no—
1239#95—471no—
1240#95—471no—
1241#95—471no—
1242#95—471no—
1243#95—471no—
1244#95—471no—
1245#95—471no—
1246#95—471no—
1247#95—471no—
1248#95—471no—
1249#95—471no—
1250#95—471no—
1251#95—471no—
1252#95—471no—
1253#95—471no—
1254#95—471no—
1255#95—471no—
1256#95—471no—
1257#95—471no—
1258#95—471no—
1259#95—471no—
1260#95C22×D4711yescharacteristic
1261#95C22×D4711yescharacteristic
1262#95C22×D4711yescharacteristic
1263#95C22×D4711yescharacteristic
1264#95C22×D4711yescharacteristic
1265#95C22×D4711yescharacteristic
1266#95C22×D4711yescharacteristic
1267#95C22×D4711yescharacteristic
1268C24—22no—
1269C24—22no—
1270C24—22no—
1271C24—22no—
1272C24—22no—
1273C24—22no—
1274C24—22no—
1275C24—41no—
1276C24—41no—
1277C24—41no—
1278C24—41no—
1279C24—41no—
1280C24—41no—
1281C24—471no—
1282C24—471no—
1283C24—471no—
1284C24—942no—
1285C24—1881no—
1286C24—1881no—
1287C24—1881no—
1288C24—1881no—
1289C24—1881no—
1290C24—1881no—
1291C24#1062535014yes—
1292C24C23×D4711yescharacteristic
1293C24C23×D4711yescharacteristic
1294C24C23×D4711yescharacteristic
1295C24C23×D4711yescharacteristic
1296C24C23×D4711yescharacteristic
1297C2×Q8—1881no—
1298C2×Q8—1881no—
1299C2×Q8—1881no—
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—22no—
1303C2×D4—22no—
1304C2×D4—22no—
1305C2×D4—22no—
1306C2×D4—22no—
1307C2×D4—22no—
1308C2×D4—41no—
1309C2×D4—41no—
1310C2×D4—41no—
1311C2×D4—41no—
1312C2×D4—416no—
1313C2×D4—942no—
1314C2×D4—942no—
1315C2×D4—942no—
1316C2×D4—942no—
1317C2×D4—942no—
1318C2×D4—942no—
1319C2×D4—942no—
1320C2×D4—942no—
1321C2×D4—942no—
1322C2×D4—942no—
1323C2×D4—942no—
1324C2×D4—942no—
1325C2×D4—942no—
1326C2×D4—942no—
1327C2×D4—942no—
1328C2×D4—942no—
1329C2×D4—942no—
1330C2×D4—942no—
1331C2×D4—942no—
1332C2×D4—942no—
1333C2×D4—1881no—
1334C2×D4—1881no—
1335C2×D4—1881no—
1336C2×D4—1881no—
1337C2×D4—1881no—
1338C2×D4—1881no—
1339C2×D4—1881no—
1340C2×D4—1881no—
1341C2×D4—1881no—
1342C2×D4—1881no—
1343C2×D4—1881no—
1344C2×D4—1881no—
1345C2×D4—1881no—
1346C2×D4—1881no—
1347C2×D4—1881no—
1348C2×D4—1881no—
1349C2×D4—1881no—
1350C2×D4—1881no—
1351C2×D4—1881no—
1352C2×D4—1881no—
1353C2×D4—1881no—
1354C2×D4—1881no—
1355C2×D4—1881no—
1356C2×D4—1881no—
1357C2×D4—1881no—
1358C2×D4—18816no—
1359C22×C4—22no—
1360C22×C4—22no—
1361C22×C4—22no—
1362C22×C4—22no—
1363C22×C4—22no—
1364C22×C4—22no—
1365C22×C4—22no—
1366C22×C4—22no—
1367C22×C4—22no—
1368C22×C4—22no—
1369C22×C4—41no—
1370C22×C4—41no—
1371C22×C4—41no—
1372C22×C4—41no—
1373C22×C4—41no—
1374C22×C4—41no—
1375C22×C4—41no—
1376C22×C4—41no—
1377C22×C4—41no—
1378C22×C4—41no—
1379C22×C4—41no—
1380C22×C4—41no—
1381C22×C4—41no—
1382C22×C4—41no—
1383C22×C4—41no—
1384C22×C4—41no—
1385C22×C4—41no—
1386C22×C4—416no—
1387C22×C4—471no—
1388C22×C4—471no—
1389C22×C4—471no—
1390C22×C4—471no—
1391C22×C4—471no—
1392C22×C4—471no—
1393C22×C4—471no—
1394C22×C4—471no—
1395C22×C4—471no—
1396C22×C4—471no—
1397C22×C4—471no—
1398C22×C4—471no—
1399C22×C4—471no—
1400C22×C4—942no—
1401C22×C4—1881no—
1402C22×C4—1881no—
1403C22×C4—1881no—
1404C22×C4—1881no—
1405C22×C4—1881no—
1406C22×C4—1881no—
1407C22×C4—1881no—
1408C22×C4—1881no—
1409C22×C4—1881no—
1410C22×C4—1881no—
1411C22×C4—1881no—
1412C22×C4C23×D4711yescharacteristic
1413C22×C4C23×D4711yescharacteristic
1414C22×C4C23×D4711yescharacteristic
1415C22×C4C23×D4711yescharacteristic
1416C22×C4C23×D4711yescharacteristic
1417C22×C4C23×D4711yescharacteristic
1418C22×C4C23×D4711yescharacteristic
1419C22×C4C23×D4711yescharacteristic
1420C22×C4C23×D4711yescharacteristic
1421C22×C4C23×D4711yescharacteristic
1422C4⋊C4—942no—
1423C4⋊C4—942no—
1424C4⋊C4—1881no—
1425C4⋊C4—1881no—
1426C4⋊C4—1881no—
1427C4⋊C4—1881no—
1428C4⋊C4—1881no—
1429C4⋊C4—1881no—
1430C4⋊C4—1881no—
1431C4⋊C4—1881no—
1432C4⋊C4—1881no—
1433C4⋊C4—1881no—
1434C4⋊C4—1881no—
1435C4⋊C4—1881no—
1436C4⋊C4—1881no—
1437C4⋊C4—1881no—
1438C22⋊C4—22no—
1439C22⋊C4—22no—
1440C22⋊C4—22no—
1441C22⋊C4—22no—
1442C22⋊C4—41no—
1443C22⋊C4—41no—
1444C22⋊C4—41no—
1445C22⋊C4—41no—
1446C22⋊C4—41no—
1447C22⋊C4—41no—
1448C22⋊C4—41no—
1449C22⋊C4—41no—
1450C22⋊C4—942no—
1451C22⋊C4—942no—
1452C22⋊C4—942no—
1453C22⋊C4—942no—
1454C22⋊C4—942no—
1455C22⋊C4—942no—
1456C22⋊C4—942no—
1457C22⋊C4—942no—
1458C22⋊C4—942no—
1459C22⋊C4—942no—
1460C22⋊C4—1881no—
1461C22⋊C4—1881no—
1462C22⋊C4—1881no—
1463C22⋊C4—1881no—
1464C22⋊C4—1881no—
1465C22⋊C4—1881no—
1466C22⋊C4—1881no—
1467C22⋊C4—1881no—
1468C22⋊C4—1881no—
1469C22⋊C4—1881no—
1470C22⋊C4—1881no—
1471C22⋊C4—1881no—
1472C22⋊C4—1881no—
1473C22⋊C4—1881no—
1474C22⋊C4—1881no—
1475C22⋊C4—1881no—
1476C22⋊C4—1881no—
1477C22⋊C4—1881no—
1478C22⋊C4—1881no—
1479C22⋊C4—1881no—
1480C22⋊C4—1881no—
1481C22⋊C4—1881no—
1482C22⋊C4—1881no—
1483C22⋊C4—1881no—
1484C22⋊C4—1881no—
1485C22⋊C4—1881no—
1486C22⋊C4—1881no—
1487C22⋊C4—1881no—
1488C22⋊C4—1881no—
1489C22⋊C4—1881no—
1490C22⋊C4—1881no—
1491C22⋊C4—1881no—
1492C22⋊C4—1881no—
1493C22⋊C4—1881no—
1494C22⋊C4—1881no—
1495C22⋊C4—1881no—
1496C22⋊C4—1881no—
1497C22⋊C4—1881no—
1498C42—1881no—
1499C42—1881no—
1500C42—1881no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—28no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—28no—
1531C23—44no—
1532C23—44no—
1533C23—44no—
1534C23—44no—
1535C23—44no—
1536C23—44no—
1537C23—44no—
1538C23—44no—
1539C23—82no—
1540C23—82no—
1541C23—82no—
1542C23—82no—
1543C23—941no—
1544C23—941no—
1545C23—941no—
1546C23—941no—
1547C23—941no—
1548C23—941no—
1549C23—941no—
1550C23—941no—
1551C23—941no—
1552C23—941no—
1553C23—941no—
1554C23—941no—
1555C23—941no—
1556C23—941no—
1557C23—941no—
1558C23—941no—
1559C23—941no—
1560C23—941no—
1561C23—941no—
1562C23—941no—
1563C23—941no—
1564C23—3762no—
1565C23—3762no—
1566C23—3762no—
1567C23—3762no—
1568C23—3762no—
1569C23—3762no—
1570C23—1884no—
1571C23C2×#1062535012yes—
1572C23C2×#1062535012yes—
1573C23C2×#1062535012yes—
1574C23#1309406912yes—
1575C23#1309406912yes—
1576C23#1309406912yes—
1577C23#1309407012yes—
1578C23C24×D4711yescharacteristic
1579Q8—3762no—
1580D4—44no—
1581D4—44no—
1582D4—44no—
1583D4—44no—
1584D4—3762no—
1585D4—3762no—
1586D4—3762no—
1587D4—3762no—
1588D4—3762no—
1589D4—3762no—
1590D4—3762no—
1591D4—3762no—
1592D4—3762no—
1593D4—3762no—
1594D4—1884no—
1595D4—1884no—
1596D4—1884no—
1597D4—1884no—
1598D4—1884no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—44no—
1629C2×C4—44no—
1630C2×C4—44no—
1631C2×C4—44no—
1632C2×C4—44no—
1633C2×C4—44no—
1634C2×C4—44no—
1635C2×C4—82no—
1636C2×C4—82no—
1637C2×C4—941no—
1638C2×C4—941no—
1639C2×C4—941no—
1640C2×C4—941no—
1641C2×C4—941no—
1642C2×C4—941no—
1643C2×C4—941no—
1644C2×C4—941no—
1645C2×C4—941no—
1646C2×C4—941no—
1647C2×C4—941no—
1648C2×C4—941no—
1649C2×C4—941no—
1650C2×C4—941no—
1651C2×C4—941no—
1652C2×C4—941no—
1653C2×C4—941no—
1654C2×C4—941no—
1655C2×C4—941no—
1656C2×C4—941no—
1657C2×C4—941no—
1658C2×C4—941no—
1659C2×C4—941no—
1660C2×C4—941no—
1661C2×C4—941no—
1662C2×C4—941no—
1663C2×C4—941no—
1664C2×C4—941no—
1665C2×C4—941no—
1666C2×C4—941no—
1667C2×C4—941no—
1668C2×C4—941no—
1669C2×C4—941no—
1670C2×C4—941no—
1671C2×C4—941no—
1672C2×C4—941no—
1673C2×C4—941no—
1674C2×C4—941no—
1675C2×C4—941no—
1676C2×C4—3762no—
1677C2×C4—3762no—
1678C2×C4—3762no—
1679C2×C4—1884no—
1680C2×C4#1309406912yes—
1681C22—22no—
1682C22—22no—
1683C22—22no—
1684C22—22no—
1685C22—22no—
1686C22—22no—
1687C22—22no—
1688C22—22no—
1689C22—22no—
1690C22—22no—
1691C22—22no—
1692C22—22no—
1693C22—22no—
1694C22—22no—
1695C22—22no—
1696C22—22no—
1697C22—22no—
1698C22—22no—
1699C22—416no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—88no—
1717C22—3768no—
1718C22—1881no—
1719C22—1881no—
1720C22—1881no—
1721C22—1881no—
1722C22—1881no—
1723C22—1881no—
1724C22—1881no—
1725C22—1881no—
1726C22—1881no—
1727C22—1881no—
1728C22—1881no—
1729C22—1881no—
1730C22—1881no—
1731C22—1881no—
1732C22—1881no—
1733C22—1881no—
1734C22—1881no—
1735C22—1881no—
1736C22—1881no—
1737C22—1881no—
1738C22—1881no—
1739C22#1568970614yes—
1740C22C22×#1062535011yescharacteristic
1741C22C2×#1309406911yescharacteristic
1742C22C2×#1309406911yescharacteristic
1743C22C2×#1309406911yescharacteristic
1744C22C2×#1309406911yescharacteristic
1745C22C2×#1309407011yescharacteristic
1746C22#1568995911yescharacteristic
1747C4—22no—
1748C4—41no—
1749C4—41no—
1750C4—41no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C4—41no—
1755C4—41no—
1756C4—41no—
1757C4—1881no—
1758C4—1881no—
1759C4—1881no—
1760C4—1881no—
1761C4—1881no—
1762C4—1881no—
1763C4—1881no—
1764C4—1881no—
1765C4—1881no—
1766C4—1881no—
1767C4—1881no—
1768C4—1881no—
1769C4—1881no—
1770C2—24no—
1771C2—42no—
1772C2—42no—
1773C2—42no—
1774C2—42no—
1775C2—3761no—
1776C2—3761no—
1777C2—3761no—
1778C2C2×#1568970611yescharacteristic
1779C2#2025707711yescharacteristic
1780C2#2025722711yescharacteristic
1781C2#2025754311yescharacteristic
1782C2#2025757811yescharacteristic
1783C2#2025758211yescharacteristic
1784C2#2025762311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC2×C47×#386C2
hypercenterC2×#386D47
hypocenterC47#36776
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ C2×#386

Complements

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

NH ≅ G/Ntype
1. #20251680C2semidirect
2. #20251670C2semidirect
3. #20251007C2semidirect
4. #20251006C2semidirect
5. #20250764C2semidirect
6. #20250620C2semidirect
7. #20250611C2semidirect
8. #20250605C2semidirect
9. #20250531C2semidirect
10. #20250032C2semidirect
11. #20249952C2semidirect
12. #20249942C2semidirect
13. #20249828C2semidirect
14. #20249821C2semidirect
15. #20249765C2semidirect
16. #20249714C2semidirect
17. #20249690C2semidirect
18. #20249593C2semidirect
19. #20249341C2semidirect
20. #20249316C2semidirect
21. #20247948C2semidirect
22. #20247508C2semidirect
23. #20247138C2semidirect
24. #20247049C2semidirect
25. #20246924C2semidirect
26. #20246762C2semidirect
27. #20246756C2semidirect
28. #20246698C2semidirect
29. #20246046C2semidirect
30. #20245963C2semidirect
31. C2×C47×#386C2semidirect
33. C2×#13094010C22semidirect
34. C2×#13094007C22semidirect
35. C2×#13094007C22semidirect
36. C2×#13094003C22semidirect
37. C2×#13094001C22semidirect
40. C2×#13093998C22semidirect
41. C2×#13093998C22semidirect
42. C2×#13093997C22semidirect
43. C2×#13093996C22semidirect
44. C2×#13093996C22semidirect
45. C2×#13093994C22semidirect
49. C2×#13093993C22semidirect
52. C2×C4×C22⋊D47C22semidirect
54. C47⋊#401C22semidirect
55. C47⋊#401C22semidirect
56. #15689065C22semidirect
57. #15689065C22semidirect
58. #15689064C22semidirect
59. #15689064C22semidirect
60. #15689064C22semidirect
61. #15689063C22semidirect
62. #15689063C22semidirect
63. #15689059C22semidirect
64. #15689052C22semidirect
65. #15689052C22semidirect
66. #15689052C22semidirect
67. #15689052C22semidirect
68. #15689052C22semidirect
69. #15689052C22semidirect
70. #15689051C22semidirect
71. #15689050C22semidirect
72. #15689050C22semidirect
73. #15689050C22semidirect
74. #15689047C22semidirect
75. #15689046C22semidirect
76. #15689046C22semidirect
77. #15689046C22semidirect
78. #15689041C22semidirect
79. #15689041C22semidirect
80. #15689041C22semidirect
81. #15689039C22semidirect
82. #15689039C22semidirect
83. #15689039C22semidirect
84. #15689038C22semidirect
85. #15689038C22semidirect
86. #15689038C22semidirect
89. #15689036C22semidirect
90. #15689036C22semidirect
91. #15689035C22semidirect
92. #15689035C22semidirect
93. #15689032C22semidirect
94. #15689032C22semidirect
95. #15689032C22semidirect
102. #15689023C22semidirect
103. #15689023C22semidirect
104. #15689023C22semidirect
105. #15689023C22semidirect
106. #15689017C22semidirect
107. #15689017C22semidirect
108. #15689016C22semidirect
109. #15689016C22semidirect
110. #15689015C22semidirect
111. #15689012C22semidirect
112. #15689012C22semidirect
113. #15689011C22semidirect
114. #15689011C22semidirect
115. #15689011C22semidirect
116. #15689010C22semidirect
117. #15689006C22semidirect
120. #15689003C22semidirect
121. #15689003C22semidirect
130. #15689002C22semidirect
131. #15689002C22semidirect
132. #15689002C22semidirect
133. #15689002C22semidirect
134. #15689002C22semidirect
135. #15689002C22semidirect
136. #15689002C22semidirect
137. #15689002C22semidirect
138. #15689001C22semidirect
139. #15689000C22semidirect
140. #15689000C22semidirect
141. #15689000C22semidirect
142. #15689000C22semidirect
143. #15689000C22semidirect
144. #15688999C22semidirect
145. #15688999C22semidirect
146. #15688999C22semidirect
147. #15688998C22semidirect
148. #15688998C22semidirect
149. #15688996C22semidirect
150. #15688996C22semidirect
151. #15688996C22semidirect
152. #15688996C22semidirect
153. #15688996C22semidirect
154. #15688996C22semidirect
155. #15688995C22semidirect
156. #15688990C22semidirect
157. #15688986C22semidirect
158. #15688986C22semidirect
159. #15688985C22semidirect
160. #15688984C22semidirect
161. #15688984C22semidirect
162. #15688983C22semidirect
163. #15688983C22semidirect
164. #15688983C22semidirect
165. #15688981C22semidirect
167. #15688979C22semidirect
168. #15688978C22semidirect
169. #15688978C22semidirect
170. #15688978C22semidirect
171. C4×C22⋊Dic47C22semidirect
173. C24×C4×C47C22semidirect
176. C22×C22⋊C4×C47C22semidirect
181. C47×#386C22semidirect
182. C47×#386C22semidirect
183. C47×#386C22semidirect
184. C47×#386C22semidirect
185. C2×#95×C47C22semidirect
186. C2×#95×C47C22semidirect
908. C2×#386D47semidirect
926. C24×C4C2×D47semidirect
950. C22×C22⋊C4C2×D47semidirect
1048. #386C2×D47semidirect
1049. #386C2×D47semidirect
1050. #386C2×D47semidirect
1051. #386C2×D47semidirect
1077. C2×#95C2×D47semidirect
1078. C2×#95C2×D47semidirect
1079. C47#36776semidirect

Maximal subgroups

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

subgroupindex
#202516802
#202516702
#202510072
#202510062
#202507642
#202506202
#202506112
#202506052
#202505312
#202500322
#202499522
#202499422
#202498282
#202498212
#202497652
#202497142
#202496902
#202495932
#202493412
#202493162
#202479482
#202475082
#202471382
#202470492
#202469242
#202467622
#202467562
#202466982
#202460462
#202459632
C2×C47×#3862
#3677647