Finite Group Databasebeta

← #26424147

Subgroups — #26424147

Order 12032.

2210 conjugacy classes of subgroups.

The subgroup lattice has 1686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20251673C211yesmaximal, characteristic, complemented
2#20251668C211yesmaximal, characteristic, complemented
3#20251251C211yesmaximal, characteristic, complemented
4#20251044C211yesmaximal, characteristic, complemented
5#20251014C211yesmaximal, characteristic, complemented
6#20251008C211yesmaximal, characteristic, complemented
7#20250999C211yesmaximal, characteristic, complemented
8#20250703C211yesmaximal, characteristic, complemented
9#20250667C211yesmaximal, characteristic, complemented
10#20250613C211yesmaximal, characteristic, complemented
11#20250508C211yesmaximal, characteristic, complemented
12#20250387C211yesmaximal, characteristic, complemented
13#20250186C211yesmaximal, characteristic, complemented
14#20250024C211yesmaximal, characteristic, complemented
15#20250009C211yesmaximal, characteristic, complemented
16#20249944C211yesmaximal, characteristic, complemented
17#20249830C211yesmaximal, characteristic, complemented
18#20249682C211yesmaximal, characteristic, complemented
19#20249100C211yesmaximal, characteristic, complemented
20#20247769C211yesmaximal, characteristic, complemented
21#20247710C211yesmaximal, characteristic, complemented
22#20247631C211yesmaximal, characteristic, complemented
23#20247513C211yesmaximal, characteristic, complemented
24#20246935C211yesmaximal, characteristic, complemented
25#20246928C211yesmaximal, characteristic, complemented
26#20246861C211yesmaximal, characteristic, complemented
27#20246854C211yesmaximal, characteristic, complemented
28#20246049C211yesmaximal, characteristic, complemented
29#20246043C211yesmaximal, characteristic, complemented
30C2×#15689003C211yesmaximal, characteristic, complemented
31C47×#2613C211yesmaximal, characteristic, complemented
32C24×Dic47C2211yescharacteristic
33C2×#13094017C2211yescharacteristic, complemented
34C2×#13094011C2211yescharacteristic, complemented
35C2×#13094007C2211yescharacteristic
36C2×#13094006C2211yescharacteristic, complemented
37C2×#13094001C2211yescharacteristic
38C2×#13094001C2211yescharacteristic, complemented
39C2×#13094001C2211yescharacteristic, complemented
40C2×#13093996C2211yescharacteristic
41C2×#13093996C2211yescharacteristic, complemented
42C2×#13093996C2211yescharacteristic, complemented
43C2×#13093996C2211yescharacteristic, complemented
44C2×#13093993C2211yescharacteristic
45C2×#13093993C2211yescharacteristic
46C2×D4×Dic47C2211yescharacteristic
47C2×(C22⋊D47)⋊C4C2211yescharacteristic
48C22×C22⋊Dic47C2211yescharacteristic
49C22×C22⋊Dic47C2211yescharacteristic
50C22×C22⋊Dic47C2211yescharacteristic
51C47⋊#401C2211yescharacteristic, complemented
52#15689065C2211yescharacteristic, complemented
53#15689065C2211yescharacteristic, complemented
54#15689064C2211yescharacteristic, complemented
55#15689064C2211yescharacteristic, complemented
56#15689063C2211yescharacteristic, complemented
57#15689062C2211yescharacteristic, complemented
58#15689059C2211yescharacteristic, complemented
59#15689054C2211yescharacteristic, complemented
60#15689053C2211yescharacteristic, complemented
61#15689052C2211yescharacteristic, complemented
62#15689051C2211yescharacteristic, complemented
63#15689051C2211yescharacteristic, complemented
64#15689051C2211yescharacteristic, complemented
65#15689051C2211yescharacteristic, complemented
66#15689051C2211yescharacteristic, complemented
67#15689049C2211yescharacteristic, complemented
68#15689048C2211yescharacteristic, complemented
69#15689048C2211yescharacteristic, complemented
70#15689046C2211yescharacteristic, complemented
71#15689046C2211yescharacteristic, complemented
72#15689046C2211yescharacteristic, complemented
73#15689039C2211yescharacteristic, complemented
74#15689039C2211yescharacteristic, complemented
75#15689039C2211yescharacteristic, complemented
76#15689038C2211yescharacteristic, complemented
77#15689037C2211yescharacteristic
78#15689037C2211yescharacteristic
79#15689037C2211yescharacteristic
80#15689037C2211yescharacteristic
81#15689037C2211yescharacteristic, complemented
82#15689037C2211yescharacteristic, complemented
83#15689037C2211yescharacteristic, complemented
84#15689036C2211yescharacteristic, complemented
85#15689035C2211yescharacteristic, complemented
86#15689031C2211yescharacteristic
87#15689031C2211yescharacteristic
88#15689031C2211yescharacteristic
89#15689031C2211yescharacteristic
90#15689031C2211yescharacteristic, complemented
91#15689027C2211yescharacteristic, complemented
92#15689026C2211yescharacteristic, complemented
93#15689026C2211yescharacteristic, complemented
94#15689026C2211yescharacteristic, complemented
95#15689023C2211yescharacteristic, complemented
96#15689023C2211yescharacteristic, complemented
97#15689023C2211yescharacteristic, complemented
98#15689019C2211yescharacteristic, complemented
99#15689017C2211yescharacteristic, complemented
100#15689017C2211yescharacteristic, complemented
101#15689017C2211yescharacteristic, complemented
102#15689017C2211yescharacteristic, complemented
103#15689017C2211yescharacteristic, complemented
104#15689017C2211yescharacteristic, complemented
105#15689017C2211yescharacteristic, complemented
106#15689016C2211yescharacteristic, complemented
107#15689016C2211yescharacteristic, complemented
108#15689016C2211yescharacteristic, complemented
109#15689016C2211yescharacteristic, complemented
110#15689016C2211yescharacteristic, complemented
111#15689016C2211yescharacteristic, complemented
112#15689015C2211yescharacteristic, complemented
113#15689012C2211yescharacteristic, complemented
114#15689011C2211yescharacteristic, complemented
115#15689011C2211yescharacteristic, complemented
116#15689011C2211yescharacteristic, complemented
117#15689011C2211yescharacteristic, complemented
118#15689010C2211yescharacteristic, complemented
119#15689008C2211yescharacteristic, complemented
120#15689005C2211yescharacteristic, complemented
121#15689004C2211yescharacteristic, complemented
122#15689004C2211yescharacteristic, complemented
123#15689003C2211yescharacteristic
124#15689003C2211yescharacteristic
125#15689003C2211yescharacteristic
126#15689003C2211yescharacteristic
127#15689003C2211yescharacteristic
128#15689003C2211yescharacteristic
129#15689003C2211yescharacteristic
130#15689003C2211yescharacteristic
131#15689003C2211yescharacteristic
132#15689003C2211yescharacteristic
133#15689003C2211yescharacteristic, complemented
134#15689003C2211yescharacteristic, complemented
135#15689003C2211yescharacteristic, complemented
136#15689003C2211yescharacteristic, complemented
137#15689003C2211yescharacteristic, complemented
138#15689000C2211yescharacteristic
139#15689000C2211yescharacteristic
140#15689000C2211yescharacteristic, complemented
141#15689000C2211yescharacteristic, complemented
142#15688999C2211yescharacteristic, complemented
143#15688999C2211yescharacteristic, complemented
144#15688999C2211yescharacteristic, complemented
145#15688999C2211yescharacteristic, complemented
146#15688998C2211yescharacteristic
147#15688998C2211yescharacteristic
148#15688998C2211yescharacteristic, complemented
149#15688998C2211yescharacteristic, complemented
150#15688995C2211yescharacteristic
151#15688995C2211yescharacteristic
152#15688995C2211yescharacteristic, complemented
153#15688995C2211yescharacteristic, complemented
154#15688995C2211yescharacteristic, complemented
155#15688990C2211yescharacteristic, complemented
156#15688987C2211yescharacteristic, complemented
157#15688986C2211yescharacteristic
158#15688984C2211yescharacteristic, complemented
159#15688981C2211yescharacteristic
160#15688981C2211yescharacteristic
161#15688981C2211yescharacteristic, complemented
162#15688981C2211yescharacteristic, complemented
163#15688981C2211yescharacteristic, complemented
164#15688981C2211yescharacteristic, complemented
165#15688980C2211yescharacteristic, complemented
166#15688979C2211yescharacteristic
167#15688979C2211yescharacteristic
168C22⋊C4×Dic47C2211yescharacteristic
169C22⋊C4×Dic47C2211yescharacteristic
170C2×C47⋊#95C2211yescharacteristic
171C2×C47⋊#95C2211yescharacteristic
172C23×D4×C47C2211yescharacteristic
173C2×#123×C47C2211yescharacteristic
174C2×#120×C47C2211yescharacteristic
175C2×#120×C47C2211yescharacteristic
176C47×#394C2211yescharacteristic
177C47×#394C2211yescharacteristic
178C47×#394C2211yescharacteristic
179C47×#394C2211yescharacteristic
180C47×#392C2211yescharacteristic
181C47×#392C2211yescharacteristic
182C47×#392C2211yescharacteristic
183C47×#392C2211yescharacteristic
184C47×#381C2211yescharacteristic
185C47×#379C2211yescharacteristic
186C47×#379C2211yescharacteristic
187C22×Dic94C2311yescharacteristic
188C22×C22⋊D47C2311yescharacteristic
189C22×C22⋊D47C2311yescharacteristic
190C22×C22⋊D47C2311yescharacteristic
191C22×C22⋊D47C2311yescharacteristic
192C22×C22⋊D47C2311yescharacteristic
193C22×C22⋊D47C2311yescharacteristic
194C23×Dic47—42no—
195C23×Dic47—42no—
196C23×Dic47—42no—
197C23×Dic47C2311yescharacteristic
198C23×Dic47C2311yescharacteristic
199C23×Dic47C2311yescharacteristic
200C23×Dic47C2311yescharacteristic
201C23×Dic47C2311yescharacteristic
202C23×Dic47C2311yescharacteristic
203C23×Dic47C2311yescharacteristic
204C23×Dic47C2311yescharacteristic
205C23×Dic47C2311yescharacteristic
206C22×C4×D47C2311yescharacteristic
207#13094017—42no—
208#13094011—42no—
209#13094007—42no—
210#13094006—42no—
211#13094001—42no—
212#13094001—42no—
213#13094001—42no—
214#13093996—42no—
215#13093996—42no—
216#13093996—42no—
217#13093996—42no—
218#13093993—24no—
219#13093993—42no—
220D4×Dic47—42no—
221(C22⋊D47)⋊C4—42no—
222C2×C4⋊Dic47C2311yescharacteristic
223C2×C4⋊Dic47C2311yescharacteristic
224C2×C4⋊Dic47C2311yescharacteristic
225C2×C4⋊Dic47C2311yescharacteristic
226C2×C4⋊Dic47C2311yescharacteristic
227C2×C4⋊Dic47C2311yescharacteristic
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×Dic47⋊C4C2311yescharacteristic
241C2×Dic47⋊C4C2311yescharacteristic
242C2×C22⋊Dic47—42no—
243C2×C22⋊Dic47—42no—
244C2×C22⋊Dic47—42no—
245C2×C22⋊Dic47C2311yescharacteristic
246C2×C22⋊Dic47C2311yescharacteristic
247C2×C22⋊Dic47C2311yescharacteristic
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×C22⋊Dic47C2311yescharacteristic
272C2×C22⋊Dic47C2311yescharacteristic
273C2×C22⋊Dic47C2311yescharacteristic
274C2×C22⋊Dic47C2311yescharacteristic
275C2×C22⋊Dic47C2311yescharacteristic
276C2×C22⋊Dic47C2311yescharacteristic
277C2×C22⋊Dic47C2311yescharacteristic
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×C4×Dic47C2311yescharacteristic
287C2×C4×Dic47C2311yescharacteristic
288C2×C4×Dic47C2311yescharacteristic
289C2×C4×Dic47C2311yescharacteristic
290C2×C4×Dic47C2311yescharacteristic
291C2×C4×Dic47C2311yescharacteristic
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
328C25×C47C2311yescharacteristic
329C25×C47C2311yescharacteristic
330C22×D4×C47—24no—
331C22×D4×C47—42no—
332C22×D4×C47—42no—
333C22×D4×C47C2311yescharacteristic
334C22×D4×C47C2311yescharacteristic
335C22×D4×C47C2311yescharacteristic
336C22×D4×C47C2311yescharacteristic
337C22×D4×C47C2311yescharacteristic
338C22×D4×C47C2311yescharacteristic
339C22×D4×C47C2311yescharacteristic
340C22×D4×C47C2311yescharacteristic
341C22×D4×C47C2311yescharacteristic
342C23×C4×C47C2311yescharacteristic
343#123×C47—42no—
344#120×C47—24no—
345#120×C47—42no—
346C2×C4⋊C4×C47C2311yescharacteristic
347C2×C4⋊C4×C47C2311yescharacteristic
348C2×C22⋊C4×C47C2311yescharacteristic
349C2×C22⋊C4×C47C2311yescharacteristic
350C2×C22⋊C4×C47C2311yescharacteristic
351C2×C22⋊C4×C47C2311yescharacteristic
352C2×C22⋊C4×C47C2311yescharacteristic
353C2×C22⋊C4×C47C2311yescharacteristic
354C2×C22⋊C4×C47C2311yescharacteristic
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
365#95×C47C2311yescharacteristic
366#95×C47C2311yescharacteristic
367#95×C47C2311yescharacteristic
368#95×C47C2311yescharacteristic
369C24×C47—22no—
370C24×C47—22no—
371C24×C47—22no—
372C24×C47—22no—
373C24×C47—22no—
374C24×C47—41no—
375C24×C47—41no—
376C24×C47—41no—
377C24×C47—41no—
378C24×C47—41no—
379C24×C47—41no—
380C24×C47—41no—
381C24×C47—41no—
382C24×C47#4114yes—
383C24×C47C2411yescharacteristic
384C24×C47C2411yescharacteristic
385C24×C47C2411yescharacteristic
386C24×C47C2411yescharacteristic
387C24×C47C2411yescharacteristic
388C24×C47C2411yescharacteristic
389C23×D47C2411yescharacteristic
390C2×D4×C47—22no—
391C2×D4×C47—22no—
392C2×D4×C47—22no—
393C2×D4×C47—22no—
394C2×D4×C47—22no—
395C2×D4×C47—22no—
396C2×D4×C47—22no—
397C2×D4×C47—22no—
398C2×D4×C47—22no—
399C2×D4×C47—41no—
400C2×D4×C47—41no—
401C2×D4×C47—41no—
402C2×D4×C47—41no—
403C2×D4×C47—41no—
404C2×D4×C47—41no—
405C2×D4×C47—41no—
406C2×D4×C47—41no—
407C2×D4×C47—41no—
408C2×D4×C47—41no—
409C2×D4×C47—41no—
410C2×D4×C47—41no—
411C2×D4×C47—41no—
412C2×D4×C47—41no—
413C2×D4×C47—41no—
414C2×D4×C47—41no—
415C2×D4×C47—41no—
416C2×D4×C47—41no—
417C2×D4×C47—416no—
418C22×C4×C47—22no—
419C22×C4×C47—22no—
420C22×C4×C47—22no—
421C22×C4×C47C2411yescharacteristic
422C22×C4×C47C2411yescharacteristic
423C22×C4×C47C2411yescharacteristic
424C22×C4×C47C2411yescharacteristic
425C22×C4×C47C2411yescharacteristic
426C22×C4×C47C2411yescharacteristic
427C22×C4×C47C2411yescharacteristic
428C22×C4×C47C2411yescharacteristic
429C22×C4×C47C2411yescharacteristic
430C2×C22⋊D47—22no—
431C2×C22⋊D47—22no—
432C2×C22⋊D47—22no—
433C2×C22⋊D47—22no—
434C2×C22⋊D47—22no—
435C2×C22⋊D47—22no—
436C2×C22⋊D47—41no—
437C2×C22⋊D47—41no—
438C2×C22⋊D47—41no—
439C2×C22⋊D47—41no—
440C2×C22⋊D47—41no—
441C2×C22⋊D47—41no—
442C2×C22⋊D47—41no—
443C2×C22⋊D47—41no—
444C2×C22⋊D47—41no—
445C2×C22⋊D47—41no—
446C2×C22⋊D47—41no—
447C2×C22⋊D47—41no—
448C22×Dic47—22no—
449C22×Dic47—22no—
450C22×Dic47—22no—
451C22×Dic47—22no—
452C22×Dic47—22no—
453C22×Dic47—22no—
454C22×Dic47—22no—
455C22×Dic47—22no—
456C22×Dic47—22no—
457C22×Dic47—22no—
458C22×Dic47—41no—
459C22×Dic47—41no—
460C22×Dic47—41no—
461C22×Dic47—41no—
462C22×Dic47—41no—
463C22×Dic47—41no—
464C22×Dic47—41no—
465C22×Dic47—41no—
466C22×Dic47—41no—
467C22×Dic47—41no—
468C22×Dic47—41no—
469C22×Dic47—41no—
470C22×Dic47—41no—
471C22×Dic47—41no—
472C22×Dic47—41no—
473C22×Dic47—41no—
474C22×Dic47—41no—
475C22×Dic47—416no—
476C22×Dic47C2411yescharacteristic
477C22×Dic47C2411yescharacteristic
478C22×Dic47C2411yescharacteristic
479C22×Dic47C2411yescharacteristic
480C22×Dic47C2411yescharacteristic
481C22×Dic47C2411yescharacteristic
482C22×Dic47C2411yescharacteristic
483C22×Dic47C2411yescharacteristic
484C22×Dic47C2411yescharacteristic
485C22×Dic47C2411yescharacteristic
486C22×Dic47C2411yescharacteristic
487C22×Dic47C2411yescharacteristic
488C22×Dic47C2411yescharacteristic
489C22×Dic47C2411yescharacteristic
490C22×Dic47C2411yescharacteristic
491C2×C4×D47—41no—
492C2×C4×D47—41no—
493C2×C4×D47—41no—
494C2×Dic94—22no—
495C2×Dic94—41no—
496C2×Dic94—41no—
497C4⋊C4×C47—41no—
498C4⋊C4×C47—41no—
499C22⋊C4×C47—22no—
500C22⋊C4×C47—22no—
501C22⋊C4×C47—22no—
502C22⋊C4×C47—22no—
503C22⋊C4×C47—22no—
504C22⋊C4×C47—41no—
505C22⋊C4×C47—41no—
506C22⋊C4×C47—41no—
507C22⋊C4×C47—41no—
508C22⋊C4×C47—41no—
509C22⋊C4×C47—41no—
510C22⋊C4×C47—41no—
511C22⋊C4×C47—41no—
512C22⋊C4×C47—41no—
513C22⋊C4×C47—41no—
514C22⋊C4×C47—41no—
515C22⋊C4×C47—41no—
516C22⋊Dic47—22no—
517C22⋊Dic47—22no—
518C22⋊Dic47—22no—
519C22⋊Dic47—22no—
520C22⋊Dic47—22no—
521C22⋊Dic47—22no—
522C22⋊Dic47—22no—
523C22⋊Dic47—22no—
524C22⋊Dic47—22no—
525C22⋊Dic47—22no—
526C22⋊Dic47—41no—
527C22⋊Dic47—41no—
528C22⋊Dic47—41no—
529C22⋊Dic47—41no—
530C22⋊Dic47—41no—
531C22⋊Dic47—41no—
532C22⋊Dic47—41no—
533C22⋊Dic47—41no—
534C22⋊Dic47—41no—
535C22⋊Dic47—41no—
536C22⋊Dic47—41no—
537C22⋊Dic47—41no—
538C22⋊Dic47—41no—
539C22⋊Dic47—41no—
540C22⋊Dic47—41no—
541C22⋊Dic47—41no—
542C22⋊Dic47—41no—
543C22⋊Dic47—41no—
544C22⋊Dic47—41no—
545C22⋊Dic47—41no—
546C22⋊Dic47—41no—
547C22⋊Dic47—41no—
548C22⋊Dic47—41no—
549(C2×D47)⋊C4—22no—
550(C2×D47)⋊C4—41no—
551(C2×D47)⋊C4—41no—
552(C2×D47)⋊C4—41no—
553(C2×D47)⋊C4—41no—
554(C2×D47)⋊C4—41no—
555(C2×D47)⋊C4—41no—
556(C2×D47)⋊C4—41no—
557C4⋊Dic47—22no—
558C4⋊Dic47—41no—
559C4⋊Dic47—41no—
560C4⋊Dic47—41no—
561C4⋊Dic47—41no—
562C4⋊Dic47—41no—
563Dic47⋊C4—22no—
564Dic47⋊C4—22no—
565Dic47⋊C4—22no—
566Dic47⋊C4—41no—
567Dic47⋊C4—41no—
568Dic47⋊C4—41no—
569Dic47⋊C4—41no—
570Dic47⋊C4—41no—
571Dic47⋊C4—41no—
572Dic47⋊C4—41no—
573Dic47⋊C4—41no—
574Dic47⋊C4—41no—
575Dic47⋊C4—41no—
576Dic47⋊C4—41no—
577C4×Dic47—41no—
578C4×Dic47—41no—
579C4×Dic47—41no—
580C4×Dic47—41no—
581C4×Dic47—41no—
582C4×Dic47—41no—
583C23×C47—21no—
584C23×C47—21no—
585C23×C47—21no—
586C23×C47—21no—
587C23×C47—28no—
588C23×C47—21no—
589C23×C47—21no—
590C23×C47—21no—
591C23×C47—21no—
592C23×C47—21no—
593C23×C47—21no—
594C23×C47—21no—
595C23×C47—21no—
596C23×C47—21no—
597C23×C47—21no—
598C23×C47—21no—
599C23×C47—21no—
600C23×C47—21no—
601C23×C47—21no—
602C23×C47—21no—
603C23×C47—21no—
604C23×C47—21no—
605C23×C47—21no—
606C23×C47—21no—
607C23×C47—21no—
608C23×C47—21no—
609C23×C47—21no—
610C23×C47—21no—
611C23×C47—21no—
612C23×C47—21no—
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—44no—
622C23×C47—44no—
623C23×C47—44no—
624C23×C47—44no—
625C23×C47—44no—
626C23×C47—44no—
627C23×C47—44no—
628C23×C47—44no—
629C23×C47—44no—
630C23×C47—82no—
631C23×C47—82no—
632C23×C47—82no—
633C23×C47—82no—
634C23×C47C2×#4112yes—
635C23×C47C2×#4112yes—
636C23×C47C2×#4112yes—
637C23×C47H(5,𝔽2)12yes—
638C23×C47H(5,𝔽2)12yes—
639C23×C47C2511yescharacteristic
640C22×D47—21no—
641C22×D47—21no—
642C22×D47—21no—
643C22×D47—21no—
644C22×D47—21no—
645C22×D47—21no—
646C22×D47—21no—
647D4×C47—44no—
648D4×C47—44no—
649D4×C47—44no—
650D4×C47—44no—
651D4×C47—44no—
652D4×C47—82no—
653D4×C47—82no—
654D4×C47—82no—
655D4×C47—82no—
656C2×C4×C47—21no—
657C2×C4×C47—21no—
658C2×C4×C47—21no—
659C2×C4×C47—21no—
660C2×C4×C47—21no—
661C2×C4×C47—21no—
662C2×C4×C47—21no—
663C2×C4×C47—21no—
664C2×C4×C47—21no—
665C2×C4×C47—21no—
666C2×C4×C47—21no—
667C2×C4×C47—21no—
668C2×C4×C47—21no—
669C2×C4×C47—21no—
670C2×C4×C47—21no—
671C2×C4×C47—21no—
672C2×C4×C47—21no—
673C2×C4×C47—21no—
674C2×C4×C47—21no—
675C2×C4×C47—21no—
676C2×C4×C47—21no—
677C2×C4×C47—21no—
678C2×C4×C47—21no—
679C2×C4×C47—21no—
680C2×C4×C47—21no—
681C2×C4×C47—21no—
682C2×C4×C47—21no—
683C2×C4×C47—44no—
684C22⋊D47—44no—
685C22⋊D47—82no—
686C22⋊D47—82no—
687C22⋊D47—82no—
688C22⋊D47—82no—
689C22⋊D47—82no—
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—21no—
699C2×Dic47—21no—
700C2×Dic47—21no—
701C2×Dic47—21no—
702C2×Dic47—21no—
703C2×Dic47—21no—
704C2×Dic47—21no—
705C2×Dic47—21no—
706C2×Dic47—21no—
707C2×Dic47—21no—
708C2×Dic47—21no—
709C2×Dic47—21no—
710C2×Dic47—21no—
711C2×Dic47—21no—
712C2×Dic47—21no—
713C2×Dic47—21no—
714C2×Dic47—21no—
715C2×Dic47—21no—
716C2×Dic47—21no—
717C2×Dic47—21no—
718C2×Dic47—21no—
719C2×Dic47—21no—
720C2×Dic47—21no—
721C2×Dic47—21no—
722C2×Dic47—21no—
723C2×Dic47—21no—
724C2×Dic47—21no—
725C2×Dic47—21no—
726C2×Dic47—21no—
727C2×Dic47—21no—
728C2×Dic47—21no—
729C2×Dic47—21no—
730C2×Dic47—21no—
731C2×Dic47—21no—
732C2×Dic47—21no—
733C2×Dic47—44no—
734C2×Dic47—44no—
735C2×Dic47—44no—
736C2×Dic47—44no—
737C2×Dic47—44no—
738C2×Dic47—44no—
739C2×Dic47—82no—
740C2×Dic47—82no—
741C2×Dic47—82no—
742C2×Dic47H(5,𝔽2)12yes—
743C2×Dic47H(5,𝔽2)12yes—
744C4×D47—82no—
745Dic94—82no—
746#36758—471nomaximal, Sylow
747C22×C47—22no—
748C22×C47—22no—
749C22×C47—22no—
750C22×C47—22no—
751C22×C47—22no—
752C22×C47—22no—
753C22×C47—22no—
754C22×C47—22no—
755C22×C47—22no—
756C22×C47—22no—
757C22×C47—22no—
758C22×C47—22no—
759C22×C47—416no—
760C22×C47—41no—
761C22×C47—41no—
762C22×C47—41no—
763C22×C47—41no—
764C22×C47—41no—
765C22×C47—41no—
766C22×C47—41no—
767C22×C47—41no—
768C22×C47—41no—
769C22×C47—41no—
770C22×C47—41no—
771C22×C47—41no—
772C22×C47—41no—
773C22×C47—41no—
774C22×C47—41no—
775C22×C47—41no—
776C22×C47—41no—
777C22×C47—41no—
778C22×C47—41no—
779C22×C47—41no—
780C22×C47—41no—
781C22×C47—41no—
782C22×C47—41no—
783C22×C47—41no—
784C22×C47—41no—
785C22×C47—41no—
786C22×C47—41no—
787C22×C47—41no—
788C22×C47—41no—
789C22×C47—88no—
790C22×C47#53814yes—
791C22×C47C22×#4111yescharacteristic
792C22×C47C2×H(5,𝔽2)11yescharacteristic
793C22×C47C2×H(5,𝔽2)11yescharacteristic
794C22×C47C2×H(5,𝔽2)11yescharacteristic
795C22×C47C2×H(5,𝔽2)11yescharacteristic
796C22×C47#58511yescharacteristic
797C22×C47#58511yescharacteristic
798C2×D47—41no—
799C2×D47—41no—
800C2×D47—41no—
801C2×D47—41no—
802C2×D47—41no—
803C2×D47—41no—
804C2×D47—41no—
805C4×C47—41no—
806C4×C47—41no—
807C4×C47—41no—
808C4×C47—41no—
809C4×C47—41no—
810C4×C47—41no—
811C4×C47—41no—
812C4×C47—41no—
813C4×C47—41no—
814Dic47—22no—
815Dic47—22no—
816Dic47—41no—
817Dic47—41no—
818Dic47—41no—
819Dic47—41no—
820Dic47—41no—
821Dic47—41no—
822Dic47—41no—
823Dic47—41no—
824Dic47—41no—
825Dic47—41no—
826Dic47—41no—
827Dic47—41no—
828Dic47—41no—
829#2848—471no—
830#2847—471no—
831#2797—471no—
832#2781—471no—
833#2779—471no—
834#2778—471no—
835#2778—471no—
836#2756—471no—
837#2753—471no—
838#2749—471no—
839#2741—471no—
840#2730—471no—
841#2714—471no—
842#2703—471no—
843#2702—471no—
844#2696—471no—
845#2688—471no—
846#2676—471no—
847#2613—471no—
848#2613D4711yescharacteristic, complemented
849#2493—471no—
850#2488—471no—
851#2480—471no—
852#2472—471no—
853#2425—471no—
854#2424—471no—
855#2419—471no—
856#2418—471no—
857#2321—471no—
858#2321—471no—
859C2×#386—471no—
860C2×C47—24no—
861C2×C47—42no—
862C2×C47—42no—
863C2×C47—81no—
864C2×C47—81no—
865C2×C47—81no—
866C2×C47C2×#53811yescharacteristic
867C2×C47#350511yescharacteristic
868C2×C47#350511yescharacteristic
869C2×C47#353211yescharacteristic
870C2×C47#353311yescharacteristic
871C2×C47#354211yescharacteristic
872C2×C47#354211yescharacteristic
873D47—81no—
874C23×D4C2×D4711yescharacteristic
875C24×C4—471no—
876C2×#126—471no—
877C2×#124—471no—
878C2×#123—471no—
879C2×#123—471no—
880C2×#123C2×D4711yescharacteristic
881C2×C22⋊Q8—471no—
882C2×C22⋊Q8—471no—
883C2×C22⋊Q8—471no—
884C2×#121—471no—
885C2×#121—471no—
886C2×#121—471no—
887C2×#121—471no—
888C2×#120—471no—
889C2×#120—471no—
890C2×#120C2×D4711yescharacteristic
891C2×#120C2×D4711yescharacteristic
892C2×C4×D4—471no—
893C2×C4×D4—471no—
894C22×C22⋊C4—471no—
895C22×C22⋊C4—471no—
896C22×C22⋊C4—471no—
897#401—471no—
898#400—471no—
899#400—471no—
900#400—471no—
901#400—471no—
902#400—471no—
903#400—471no—
904#399—471no—
905#398—471no—
906#398—471no—
907#397—471no—
908#397—471no—
909#397—471no—
910#397—471no—
911#397—471no—
912#397—471no—
913#397—471no—
914#397—471no—
915#397—471no—
916#396—471no—
917#396—471no—
918#396—471no—
919#394—471no—
920#394—471no—
921#394—471no—
922#394—471no—
923#394—471no—
924#394—471no—
925#394—471no—
926#394—471no—
927#394—471no—
928#394—471no—
929#394—471no—
930#394C2×D4711yescharacteristic
931#394C2×D4711yescharacteristic
932#394C2×D4711yescharacteristic
933#394C2×D4711yescharacteristic
934#393—471no—
935#393—471no—
936#392—471no—
937#392—471no—
938#392—471no—
939#392—471no—
940#392—471no—
941#392C2×D4711yescharacteristic
942#392C2×D4711yescharacteristic
943#392C2×D4711yescharacteristic
944#392C2×D4711yescharacteristic
945#391—471no—
946#390—471no—
947#390—471no—
948#390—471no—
949#390—471no—
950#390—471no—
951#390—471no—
952#389—471no—
953#388—471no—
954#388—471no—
955#388—471no—
956#388—471no—
957#388—471no—
958#388—471no—
959#388—471no—
960#388—471no—
961#388—471no—
962#388—471no—
963#388—471no—
964#388—471no—
965#388—471no—
966#388—471no—
967#388—471no—
968#388—471no—
969#388—471no—
970#388—471no—
971#388—471no—
972#387—471no—
973#387—471no—
974#387—471no—
975#387—471no—
976#387—471no—
977#386—471no—
978#386—471no—
979#386—471no—
980#386—471no—
981#386—471no—
982#386—471no—
983#386—471no—
984#386—471no—
985#386—471no—
986#386—471no—
987#386—471no—
988#386—471no—
989#386—471no—
990#386—471no—
991#386—471no—
992#386—471no—
993#386—471no—
994#386—471no—
995#386—471no—
996#386—471no—
997#386—471no—
998#386—471no—
999#386—471no—
1000#385—471no—
1001#385—471no—
1002#385—471no—
1003#385—471no—
1004#385—471no—
1005#385—471no—
1006#385—471no—
1007#385—471no—
1008#385—471no—
1009#383—471no—
1010#382—471no—
1011#381—471no—
1012#381—471no—
1013#381C2×D4711yescharacteristic
1014#380—471no—
1015#380—471no—
1016#380—471no—
1017#380—471no—
1018#380—471no—
1019#380—471no—
1020#380—471no—
1021#379—471no—
1022#379—471no—
1023#379C2×D4711yescharacteristic
1024#379C2×D4711yescharacteristic
1025C4×C22⋊C4—471no—
1026C4×C22⋊C4—471no—
1027C2×#95—471no—
1028C2×#95—471no—
1029C47#3675811yescharacteristic, complemented, Sylow
1030C25C22×D4711yescharacteristic
1031C25C22×D4711yescharacteristic
1032C22×Q8—471no—
1033C22×D4—24no—
1034C22×D4—42no—
1035C22×D4—42no—
1036C22×D4—471no—
1037C22×D4—471no—
1038C22×D4—471no—
1039C22×D4—471no—
1040C22×D4—471no—
1041C22×D4—471no—
1042C22×D4C22×D4711yescharacteristic
1043C22×D4C22×D4711yescharacteristic
1044C22×D4C22×D4711yescharacteristic
1045C22×D4C22×D4711yescharacteristic
1046C22×D4C22×D4711yescharacteristic
1047C22×D4C22×D4711yescharacteristic
1048C22×D4C22×D4711yescharacteristic
1049C22×D4C22×D4711yescharacteristic
1050C22×D4C22×D4711yescharacteristic
1051C23×C4—471no—
1052C23×C4—471no—
1053C23×C4—471no—
1054C23×C4—471no—
1055C23×C4—471no—
1056C23×C4—471no—
1057C23×C4—471no—
1058C23×C4—471no—
1059C23×C4—471no—
1060C23×C4—471no—
1061C23×C4—1882no—
1062C23×C4—1882no—
1063C23×C4—1882no—
1064C23×C4C22×D4711yescharacteristic
1065#126—1882no—
1066#124—1882no—
1067#123—42no—
1068#123—1882no—
1069#123—1882no—
1070C22⋊Q8—1882no—
1071C22⋊Q8—1882no—
1072C22⋊Q8—1882no—
1073#121—1882no—
1074#121—1882no—
1075#121—1882no—
1076#121—1882no—
1077#120—24no—
1078#120—42no—
1079#120—944no—
1080#120—1882no—
1081C4×D4—1882no—
1082C4×D4—1882no—
1083C2×C4⋊C4—471no—
1084C2×C4⋊C4—471no—
1085C2×C4⋊C4—471no—
1086C2×C4⋊C4—471no—
1087C2×C4⋊C4—471no—
1088C2×C4⋊C4—471no—
1089C2×C4⋊C4—471no—
1090C2×C4⋊C4—471no—
1091C2×C4⋊C4—471no—
1092C2×C4⋊C4—471no—
1093C2×C4⋊C4—471no—
1094C2×C4⋊C4—471no—
1095C2×C4⋊C4—471no—
1096C2×C4⋊C4—471no—
1097C2×C4⋊C4—471no—
1098C2×C4⋊C4—471no—
1099C2×C4⋊C4—471no—
1100C2×C4⋊C4—471no—
1101C2×C4⋊C4—471no—
1102C2×C4⋊C4—471no—
1103C2×C4⋊C4C22×D4711yescharacteristic
1104C2×C4⋊C4C22×D4711yescharacteristic
1105C2×C22⋊C4—471no—
1106C2×C22⋊C4—471no—
1107C2×C22⋊C4—471no—
1108C2×C22⋊C4—471no—
1109C2×C22⋊C4—471no—
1110C2×C22⋊C4—471no—
1111C2×C22⋊C4—471no—
1112C2×C22⋊C4—471no—
1113C2×C22⋊C4—471no—
1114C2×C22⋊C4—471no—
1115C2×C22⋊C4—471no—
1116C2×C22⋊C4—471no—
1117C2×C22⋊C4—471no—
1118C2×C22⋊C4—471no—
1119C2×C22⋊C4—471no—
1120C2×C22⋊C4—471no—
1121C2×C22⋊C4—471no—
1122C2×C22⋊C4—471no—
1123C2×C22⋊C4—471no—
1124C2×C22⋊C4—471no—
1125C2×C22⋊C4—471no—
1126C2×C22⋊C4—471no—
1127C2×C22⋊C4—471no—
1128C2×C22⋊C4—471no—
1129C2×C22⋊C4—471no—
1130C2×C22⋊C4—471no—
1131C2×C22⋊C4—471no—
1132C2×C22⋊C4—471no—
1133C2×C22⋊C4—471no—
1134C2×C22⋊C4—471no—
1135C2×C22⋊C4—471no—
1136C2×C22⋊C4—471no—
1137C2×C22⋊C4—471no—
1138C2×C22⋊C4—471no—
1139C2×C22⋊C4—471no—
1140C2×C22⋊C4—471no—
1141C2×C22⋊C4—471no—
1142C2×C22⋊C4—471no—
1143C2×C22⋊C4—471no—
1144C2×C22⋊C4—471no—
1145C2×C22⋊C4—471no—
1146C2×C22⋊C4—1882no—
1147C2×C22⋊C4—1882no—
1148C2×C22⋊C4—1882no—
1149C2×C22⋊C4C22×D4711yescharacteristic
1150C2×C22⋊C4C22×D4711yescharacteristic
1151C2×C22⋊C4C22×D4711yescharacteristic
1152C2×C22⋊C4C22×D4711yescharacteristic
1153C2×C22⋊C4C22×D4711yescharacteristic
1154C2×C22⋊C4C22×D4711yescharacteristic
1155C2×C22⋊C4C22×D4711yescharacteristic
1156C2×C22⋊C4C22×D4711yescharacteristic
1157C2×C22⋊C4C22×D4711yescharacteristic
1158C2×C22⋊C4C22×D4711yescharacteristic
1159C2×C22⋊C4C22×D4711yescharacteristic
1160C2×C22⋊C4C22×D4711yescharacteristic
1161C2×C22⋊C4C22×D4711yescharacteristic
1162C2×C22⋊C4C22×D4711yescharacteristic
1163C2×C22⋊C4C22×D4711yescharacteristic
1164C2×C22⋊C4C22×D4711yescharacteristic
1165C2×C22⋊C4C22×D4711yescharacteristic
1166C2×C42—471no—
1167C2×C42—471no—
1168C2×C42—471no—
1169C2×C42—471no—
1170C2×C42—471no—
1171C2×C42—471no—
1172#95—471no—
1173#95—471no—
1174#95—471no—
1175#95—471no—
1176#95—471no—
1177#95—471no—
1178#95—471no—
1179#95—471no—
1180#95—471no—
1181#95—471no—
1182#95—471no—
1183#95—471no—
1184#95—471no—
1185#95—471no—
1186#95—471no—
1187#95—471no—
1188#95—471no—
1189#95—471no—
1190#95—471no—
1191#95—471no—
1192#95—471no—
1193#95—471no—
1194#95—471no—
1195#95—471no—
1196#95—471no—
1197#95—471no—
1198#95—471no—
1199#95—471no—
1200#95—471no—
1201#95—471no—
1202#95—471no—
1203#95—471no—
1204#95—471no—
1205#95—471no—
1206#95—471no—
1207#95—471no—
1208#95C22×D4711yescharacteristic
1209#95C22×D4711yescharacteristic
1210#95C22×D4711yescharacteristic
1211#95C22×D4711yescharacteristic
1212C24—22no—
1213C24—22no—
1214C24—22no—
1215C24—22no—
1216C24—22no—
1217C24—41no—
1218C24—41no—
1219C24—41no—
1220C24—41no—
1221C24—41no—
1222C24—41no—
1223C24—41no—
1224C24—41no—
1225C24—471no—
1226C24#1062535214yes—
1227C24C23×D4711yescharacteristic
1228C24C23×D4711yescharacteristic
1229C24C23×D4711yescharacteristic
1230C24C23×D4711yescharacteristic
1231C24C23×D4711yescharacteristic
1232C24C23×D4711yescharacteristic
1233C2×Q8—942no—
1234C2×Q8—1881no—
1235C2×Q8—1881no—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—22no—
1241C2×D4—22no—
1242C2×D4—22no—
1243C2×D4—22no—
1244C2×D4—22no—
1245C2×D4—41no—
1246C2×D4—41no—
1247C2×D4—41no—
1248C2×D4—41no—
1249C2×D4—41no—
1250C2×D4—41no—
1251C2×D4—41no—
1252C2×D4—41no—
1253C2×D4—41no—
1254C2×D4—41no—
1255C2×D4—41no—
1256C2×D4—41no—
1257C2×D4—41no—
1258C2×D4—41no—
1259C2×D4—41no—
1260C2×D4—41no—
1261C2×D4—41no—
1262C2×D4—41no—
1263C2×D4—416no—
1264C2×D4—942no—
1265C2×D4—942no—
1266C2×D4—942no—
1267C2×D4—942no—
1268C2×D4—942no—
1269C2×D4—942no—
1270C2×D4—1881no—
1271C2×D4—1881no—
1272C2×D4—1881no—
1273C2×D4—1881no—
1274C2×D4—1881no—
1275C2×D4—1881no—
1276C2×D4—1881no—
1277C2×D4—1881no—
1278C2×D4—1881no—
1279C2×D4—1881no—
1280C2×D4—1881no—
1281C2×D4—1881no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—471no—
1286C22×C4—471no—
1287C22×C4—471no—
1288C22×C4—471no—
1289C22×C4—471no—
1290C22×C4—471no—
1291C22×C4—471no—
1292C22×C4—471no—
1293C22×C4—471no—
1294C22×C4—471no—
1295C22×C4—471no—
1296C22×C4—471no—
1297C22×C4—471no—
1298C22×C4—471no—
1299C22×C4—471no—
1300C22×C4—942no—
1301C22×C4—942no—
1302C22×C4—942no—
1303C22×C4—942no—
1304C22×C4—942no—
1305C22×C4—942no—
1306C22×C4—942no—
1307C22×C4—942no—
1308C22×C4—942no—
1309C22×C4—942no—
1310C22×C4—1881no—
1311C22×C4—1881no—
1312C22×C4—1881no—
1313C22×C4—1881no—
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—18816no—
1331C22×C4C23×D4711yescharacteristic
1332C22×C4C23×D4711yescharacteristic
1333C22×C4C23×D4711yescharacteristic
1334C22×C4C23×D4711yescharacteristic
1335C22×C4C23×D4711yescharacteristic
1336C22×C4C23×D4711yescharacteristic
1337C22×C4C23×D4711yescharacteristic
1338C22×C4C23×D4711yescharacteristic
1339C22×C4C23×D4711yescharacteristic
1340C4⋊C4—41no—
1341C4⋊C4—41no—
1342C4⋊C4—942no—
1343C4⋊C4—942no—
1344C4⋊C4—942no—
1345C4⋊C4—942no—
1346C4⋊C4—1881no—
1347C4⋊C4—1881no—
1348C4⋊C4—1881no—
1349C4⋊C4—1881no—
1350C4⋊C4—1881no—
1351C4⋊C4—1881no—
1352C4⋊C4—1881no—
1353C4⋊C4—1881no—
1354C4⋊C4—1881no—
1355C4⋊C4—1881no—
1356C4⋊C4—1881no—
1357C4⋊C4—1881no—
1358C4⋊C4—1881no—
1359C4⋊C4—1881no—
1360C4⋊C4—1881no—
1361C4⋊C4—1881no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—22no—
1366C22⋊C4—22no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
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—942no—
1380C22⋊C4—942no—
1381C22⋊C4—942no—
1382C22⋊C4—942no—
1383C22⋊C4—942no—
1384C22⋊C4—942no—
1385C22⋊C4—942no—
1386C22⋊C4—942no—
1387C22⋊C4—942no—
1388C22⋊C4—942no—
1389C22⋊C4—942no—
1390C22⋊C4—1881no—
1391C22⋊C4—1881no—
1392C22⋊C4—1881no—
1393C22⋊C4—1881no—
1394C22⋊C4—1881no—
1395C22⋊C4—1881no—
1396C22⋊C4—1881no—
1397C22⋊C4—1881no—
1398C22⋊C4—1881no—
1399C22⋊C4—1881no—
1400C22⋊C4—1881no—
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⋊C4—1881no—
1413C22⋊C4—1881no—
1414C22⋊C4—1881no—
1415C22⋊C4—1881no—
1416C22⋊C4—1881no—
1417C22⋊C4—1881no—
1418C22⋊C4—1881no—
1419C22⋊C4—1881no—
1420C42—1881no—
1421C42—1881no—
1422C42—1881no—
1423C42—1881no—
1424C42—1881no—
1425C42—1881no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—28no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—44no—
1465C23—44no—
1466C23—44no—
1467C23—44no—
1468C23—44no—
1469C23—44no—
1470C23—44no—
1471C23—44no—
1472C23—44no—
1473C23—82no—
1474C23—82no—
1475C23—82no—
1476C23—82no—
1477C23—941no—
1478C23—941no—
1479C23—941no—
1480C23—941no—
1481C23—941no—
1482C23—941no—
1483C23—941no—
1484C23C2×#1062535212yes—
1485C23C2×#1062535212yes—
1486C23C2×#1062535212yes—
1487C23#1309406912yes—
1488C23#1309406912yes—
1489C23C24×D4711yescharacteristic
1490Q8—3762no—
1491D4—44no—
1492D4—44no—
1493D4—44no—
1494D4—44no—
1495D4—44no—
1496D4—82no—
1497D4—82no—
1498D4—82no—
1499D4—82no—
1500D4—3762no—
1501D4—3762no—
1502D4—3762no—
1503D4—3762no—
1504D4—3762no—
1505D4—1884no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—44no—
1534C2×C4—472no—
1535C2×C4—472no—
1536C2×C4—941no—
1537C2×C4—941no—
1538C2×C4—941no—
1539C2×C4—941no—
1540C2×C4—941no—
1541C2×C4—941no—
1542C2×C4—941no—
1543C2×C4—941no—
1544C2×C4—941no—
1545C2×C4—941no—
1546C2×C4—941no—
1547C2×C4—941no—
1548C2×C4—941no—
1549C2×C4—941no—
1550C2×C4—941no—
1551C2×C4—941no—
1552C2×C4—941no—
1553C2×C4—941no—
1554C2×C4—941no—
1555C2×C4—941no—
1556C2×C4—941no—
1557C2×C4—941no—
1558C2×C4—941no—
1559C2×C4—941no—
1560C2×C4—941no—
1561C2×C4—941no—
1562C2×C4—941no—
1563C2×C4—941no—
1564C2×C4—941no—
1565C2×C4—941no—
1566C2×C4—941no—
1567C2×C4—941no—
1568C2×C4—941no—
1569C2×C4—941no—
1570C2×C4—941no—
1571C2×C4—941no—
1572C2×C4—941no—
1573C2×C4—941no—
1574C2×C4—941no—
1575C2×C4—941no—
1576C2×C4—941no—
1577C2×C4—941no—
1578C2×C4—941no—
1579C2×C4—3762no—
1580C2×C4—3762no—
1581C2×C4—3762no—
1582C2×C4—3762no—
1583C2×C4—1884no—
1584C2×C4—1884no—
1585C2×C4—1884no—
1586C2×C4—1884no—
1587C2×C4—1884no—
1588C2×C4—1884no—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—22no—
1595C22—22no—
1596C22—22no—
1597C22—22no—
1598C22—22no—
1599C22—22no—
1600C22—22no—
1601C22—416no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—88no—
1632C22—1881no—
1633C22—1881no—
1634C22—1881no—
1635C22—1881no—
1636C22—1881no—
1637C22—1881no—
1638C22—1881no—
1639C22#1568970814yes—
1640C22C22×#1062535211yescharacteristic
1641C22H(5,𝔽2)×D4711yescharacteristic
1642C22H(5,𝔽2)×D4711yescharacteristic
1643C22C2×#1309406911yescharacteristic
1644C22C2×#1309406911yescharacteristic
1645C22#1568995811yescharacteristic
1646C22#1568995811yescharacteristic
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—942no—
1657C4—942no—
1658C4—1881no—
1659C4—1881no—
1660C4—1881no—
1661C4—1881no—
1662C4—1881no—
1663C4—1881no—
1664C4—1881no—
1665C4—1881no—
1666C4—1881no—
1667C4—1881no—
1668C4—1881no—
1669C4—1881no—
1670C4—1881no—
1671C2—24no—
1672C2—42no—
1673C2—42no—
1674C2—81no—
1675C2—81no—
1676C2—81no—
1677C2—3761no—
1678C2C2×#1568970811yescharacteristic
1679C2#2025722511yescharacteristic
1680C2#2025722511yescharacteristic
1681C2#2025754011yescharacteristic
1682C2#2025754911yescharacteristic
1683C2#2025769111yescharacteristic
1684C2#2025769111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2613C2
hypercenter#2613D47
hypocenterC47#36758
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2613

Complements

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

NH ≅ G/Ntype
1. #20251673C2semidirect
2. #20251668C2semidirect
3. #20251251C2semidirect
4. #20251044C2semidirect
5. #20251014C2semidirect
6. #20251008C2semidirect
7. #20250999C2semidirect
8. #20250703C2semidirect
9. #20250667C2semidirect
10. #20250613C2semidirect
11. #20250508C2semidirect
12. #20250387C2semidirect
13. #20250186C2semidirect
14. #20250024C2semidirect
15. #20250009C2semidirect
16. #20249944C2semidirect
17. #20249830C2semidirect
18. #20249682C2semidirect
19. #20249100C2semidirect
20. #20247769C2semidirect
21. #20247710C2semidirect
22. #20247631C2semidirect
23. #20247513C2semidirect
24. #20246935C2semidirect
25. #20246928C2semidirect
26. #20246861C2semidirect
27. #20246854C2semidirect
28. #20246049C2semidirect
29. #20246043C2semidirect
30. C2×#15689003C2semidirect
31. C47×#2613C2semidirect
33. C2×#13094017C22semidirect
34. C2×#13094011C22semidirect
36. C2×#13094006C22semidirect
38. C2×#13094001C22semidirect
39. C2×#13094001C22semidirect
41. C2×#13093996C22semidirect
42. C2×#13093996C22semidirect
43. C2×#13093996C22semidirect
51. C47⋊#401C22semidirect
52. #15689065C22semidirect
53. #15689065C22semidirect
54. #15689064C22semidirect
55. #15689064C22semidirect
56. #15689063C22semidirect
57. #15689062C22semidirect
58. #15689059C22semidirect
59. #15689054C22semidirect
60. #15689053C22semidirect
61. #15689052C22semidirect
62. #15689051C22semidirect
63. #15689051C22semidirect
64. #15689051C22semidirect
65. #15689051C22semidirect
66. #15689051C22semidirect
67. #15689049C22semidirect
68. #15689048C22semidirect
69. #15689048C22semidirect
70. #15689046C22semidirect
71. #15689046C22semidirect
72. #15689046C22semidirect
73. #15689039C22semidirect
74. #15689039C22semidirect
75. #15689039C22semidirect
76. #15689038C22semidirect
81. #15689037C22semidirect
82. #15689037C22semidirect
83. #15689037C22semidirect
84. #15689036C22semidirect
85. #15689035C22semidirect
90. #15689031C22semidirect
91. #15689027C22semidirect
92. #15689026C22semidirect
93. #15689026C22semidirect
94. #15689026C22semidirect
95. #15689023C22semidirect
96. #15689023C22semidirect
97. #15689023C22semidirect
98. #15689019C22semidirect
99. #15689017C22semidirect
100. #15689017C22semidirect
101. #15689017C22semidirect
102. #15689017C22semidirect
103. #15689017C22semidirect
104. #15689017C22semidirect
105. #15689017C22semidirect
106. #15689016C22semidirect
107. #15689016C22semidirect
108. #15689016C22semidirect
109. #15689016C22semidirect
110. #15689016C22semidirect
111. #15689016C22semidirect
112. #15689015C22semidirect
113. #15689012C22semidirect
114. #15689011C22semidirect
115. #15689011C22semidirect
116. #15689011C22semidirect
117. #15689011C22semidirect
118. #15689010C22semidirect
119. #15689008C22semidirect
120. #15689005C22semidirect
121. #15689004C22semidirect
122. #15689004C22semidirect
133. #15689003C22semidirect
134. #15689003C22semidirect
135. #15689003C22semidirect
136. #15689003C22semidirect
137. #15689003C22semidirect
140. #15689000C22semidirect
141. #15689000C22semidirect
142. #15688999C22semidirect
143. #15688999C22semidirect
144. #15688999C22semidirect
145. #15688999C22semidirect
148. #15688998C22semidirect
149. #15688998C22semidirect
152. #15688995C22semidirect
153. #15688995C22semidirect
154. #15688995C22semidirect
155. #15688990C22semidirect
156. #15688987C22semidirect
158. #15688984C22semidirect
161. #15688981C22semidirect
162. #15688981C22semidirect
163. #15688981C22semidirect
164. #15688981C22semidirect
165. #15688980C22semidirect
848. #2613D47semidirect
1029. C47#36758semidirect

Maximal subgroups

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

subgroupindex
#202516732
#202516682
#202512512
#202510442
#202510142
#202510082
#202509992
#202507032
#202506672
#202506132
#202505082
#202503872
#202501862
#202500242
#202500092
#202499442
#202498302
#202496822
#202491002
#202477692
#202477102
#202476312
#202475132
#202469352
#202469282
#202468612
#202468542
#202460492
#202460432
C2×#156890032
C47×#26132
#3675847