Finite Group Databasebeta

← #26423446

Subgroups — #26423446

Order 12032.

2034 conjugacy classes of subgroups.

The subgroup lattice has 1574 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20251673C211yesmaximal, characteristic, complemented
2#20251668C211yesmaximal, characteristic
3#20250592C211yesmaximal, characteristic, complemented
4#20250584C211yesmaximal, characteristic, complemented
5#20250514C211yesmaximal, characteristic, complemented
6#20250511C211yesmaximal, characteristic, complemented
7#20250508C211yesmaximal, characteristic, complemented
8#20250504C211yesmaximal, characteristic, complemented
9#20250223C211yesmaximal, characteristic, complemented
10#20250222C211yesmaximal, characteristic, complemented
11#20250017C211yesmaximal, characteristic, complemented
12#20250009C211yesmaximal, characteristic, complemented
13#20249889C211yesmaximal, characteristic, complemented
14#20249881C211yesmaximal, characteristic, complemented
15#20249870C211yesmaximal, characteristic, complemented
16#20249862C211yesmaximal, characteristic, complemented
17#20249641C211yesmaximal, characteristic, complemented
18#20249634C211yesmaximal, characteristic, complemented
19#20249504C211yesmaximal, characteristic, complemented
20#20249318C211yesmaximal, characteristic, complemented
21#20247651C211yesmaximal, characteristic, complemented
22#20247649C211yesmaximal, characteristic, complemented
23#20247508C211yesmaximal, characteristic, complemented
24#20247201C211yesmaximal, characteristic, complemented
25#20247193C211yesmaximal, characteristic, complemented
26#20246854C211yesmaximal, characteristic, complemented
27#20246846C211yesmaximal, characteristic, complemented
28#20246116C211yesmaximal, characteristic, complemented
29#20246089C211yesmaximal, characteristic, complemented
30C2×#15688981C211yesmaximal, characteristic, complemented
31C47×#2472C211yesmaximal, characteristic, complemented
32C24×Dic47C2211yescharacteristic
33C2×#13094018C2211yescharacteristic, complemented
34C2×#13094017C2211yescharacteristic, complemented
35C2×#13094010C2211yescharacteristic
36C2×#13094006C2211yescharacteristic
37C2×#13094005C2211yescharacteristic
38C2×#13094003C2211yescharacteristic
39C2×#13094001C2211yescharacteristic
40C2×#13094001C2211yescharacteristic
41C2×#13094001C2211yescharacteristic
42C2×#13094001C2211yescharacteristic, complemented
43C2×#13094000C2211yescharacteristic, complemented
44C2×#13093996C2211yescharacteristic
45C2×#13093996C2211yescharacteristic
46C2×#13093996C2211yescharacteristic
47C2×#13093993C2211yescharacteristic
48C2×D4×Dic47C2211yescharacteristic
49C2×(C22⋊D47)⋊C4C2211yescharacteristic
50C22×Dic47⋊C4C2211yescharacteristic
51C22×Dic47⋊C4C2211yescharacteristic
52C22×C22⋊Dic47C2211yescharacteristic
53#15689065C2211yescharacteristic, complemented
54#15689065C2211yescharacteristic, complemented
55#15689064C2211yescharacteristic, complemented
56#15689064C2211yescharacteristic, complemented
57#15689064C2211yescharacteristic, complemented
58#15689064C2211yescharacteristic, complemented
59#15689059C2211yescharacteristic
60#15689059C2211yescharacteristic
61#15689059C2211yescharacteristic, complemented
62#15689058C2211yescharacteristic, complemented
63#15689057C2211yescharacteristic, complemented
64#15689056C2211yescharacteristic, complemented
65#15689054C2211yescharacteristic, complemented
66#15689054C2211yescharacteristic, complemented
67#15689053C2211yescharacteristic, complemented
68#15689053C2211yescharacteristic, complemented
69#15689052C2211yescharacteristic, complemented
70#15689052C2211yescharacteristic, complemented
71#15689051C2211yescharacteristic
72#15689051C2211yescharacteristic
73#15689051C2211yescharacteristic, complemented
74#15689051C2211yescharacteristic, complemented
75#15689048C2211yescharacteristic
76#15689047C2211yescharacteristic, complemented
77#15689046C2211yescharacteristic, complemented
78#15689046C2211yescharacteristic, complemented
79#15689045C2211yescharacteristic, complemented
80#15689044C2211yescharacteristic, complemented
81#15689043C2211yescharacteristic, complemented
82#15689043C2211yescharacteristic, complemented
83#15689042C2211yescharacteristic, complemented
84#15689042C2211yescharacteristic, complemented
85#15689042C2211yescharacteristic, complemented
86#15689039C2211yescharacteristic
87#15689039C2211yescharacteristic
88#15689039C2211yescharacteristic, complemented
89#15689038C2211yescharacteristic
90#15689038C2211yescharacteristic
91#15689038C2211yescharacteristic, complemented
92#15689037C2211yescharacteristic
93#15689037C2211yescharacteristic
94#15689036C2211yescharacteristic, complemented
95#15689035C2211yescharacteristic
96#15689035C2211yescharacteristic, complemented
97#15689029C2211yescharacteristic, complemented
98#15689027C2211yescharacteristic, complemented
99#15689023C2211yescharacteristic
100#15689021C2211yescharacteristic, complemented
101#15689020C2211yescharacteristic, complemented
102#15689020C2211yescharacteristic, complemented
103#15689019C2211yescharacteristic, complemented
104#15689017C2211yescharacteristic
105#15689017C2211yescharacteristic, complemented
106#15689017C2211yescharacteristic, complemented
107#15689016C2211yescharacteristic
108#15689016C2211yescharacteristic
109#15689014C2211yescharacteristic, complemented
110#15689012C2211yescharacteristic, complemented
111#15689011C2211yescharacteristic
112#15689011C2211yescharacteristic
113#15689011C2211yescharacteristic
114#15689010C2211yescharacteristic, complemented
115#15689010C2211yescharacteristic, complemented
116#15689010C2211yescharacteristic, complemented
117#15689008C2211yescharacteristic, complemented
118#15689007C2211yescharacteristic, complemented
119#15689007C2211yescharacteristic, complemented
120#15689007C2211yescharacteristic, complemented
121#15689007C2211yescharacteristic, complemented
122#15689006C2211yescharacteristic, complemented
123#15689005C2211yescharacteristic, complemented
124#15689005C2211yescharacteristic, complemented
125#15689004C2211yescharacteristic, complemented
126#15689003C2211yescharacteristic
127#15689003C2211yescharacteristic
128#15689003C2211yescharacteristic
129#15689003C2211yescharacteristic
130#15689003C2211yescharacteristic
131#15689002C2211yescharacteristic
132#15689002C2211yescharacteristic
133#15689000C2211yescharacteristic
134#15689000C2211yescharacteristic
135#15689000C2211yescharacteristic
136#15689000C2211yescharacteristic
137#15689000C2211yescharacteristic, complemented
138#15688999C2211yescharacteristic
139#15688999C2211yescharacteristic, complemented
140#15688998C2211yescharacteristic
141#15688998C2211yescharacteristic
142#15688998C2211yescharacteristic
143#15688998C2211yescharacteristic
144#15688997C2211yescharacteristic, complemented
145#15688995C2211yescharacteristic
146#15688995C2211yescharacteristic
147#15688995C2211yescharacteristic
148#15688995C2211yescharacteristic
149#15688995C2211yescharacteristic, complemented
150#15688995C2211yescharacteristic, complemented
151#15688994C2211yescharacteristic, complemented
152#15688981C2211yescharacteristic
153#15688981C2211yescharacteristic
154#15688981C2211yescharacteristic
155#15688981C2211yescharacteristic
156#15688981C2211yescharacteristic
157#15688981C2211yescharacteristic
158#15688981C2211yescharacteristic
159#15688981C2211yescharacteristic
160#15688981C2211yescharacteristic
161#15688981C2211yescharacteristic
162#15688981C2211yescharacteristic
163#15688981C2211yescharacteristic
164#15688981C2211yescharacteristic
165#15688981C2211yescharacteristic
166#15688981C2211yescharacteristic
167#15688981C2211yescharacteristic
168#15688979C2211yescharacteristic
169C4×C22⋊Dic47C2211yescharacteristic
170C2×C47⋊#95C2211yescharacteristic
171C2×C47⋊#95C2211yescharacteristic
172C2×#124×C47C2211yescharacteristic
173C2×C22⋊Q8×C47C2211yescharacteristic
174C2×#120×C47C2211yescharacteristic
175C22×C22⋊C4×C47C2211yescharacteristic
176C47×#397C2211yescharacteristic
177C47×#394C2211yescharacteristic
178C47×#394C2211yescharacteristic
179C47×#393C2211yescharacteristic
180C47×#390C2211yescharacteristic
181C47×#388C2211yescharacteristic
182C47×#388C2211yescharacteristic
183C47×#386C2211yescharacteristic
184C47×#386C2211yescharacteristic
185C47×#379C2211yescharacteristic
186C4×C22⋊C4×C47C2211yescharacteristic
187C22×Dic94C2311yescharacteristic
188C22×Dic94C2311yescharacteristic
189C22×C22⋊D47C2311yescharacteristic
190C22×C22⋊D47C2311yescharacteristic
191C22×C22⋊D47C2311yescharacteristic
192C22×C22⋊D47C2311yescharacteristic
193C23×Dic47—24no—
194C23×Dic47—42no—
195C23×Dic47—42no—
196C23×Dic47C2311yescharacteristic
197C23×Dic47C2311yescharacteristic
198C23×Dic47C2311yescharacteristic
199C23×Dic47C2311yescharacteristic
200C23×Dic47C2311yescharacteristic
201C23×Dic47C2311yescharacteristic
202C23×Dic47C2311yescharacteristic
203C23×Dic47C2311yescharacteristic
204C23×Dic47C2311yescharacteristic
205C22×C4×D47C2311yescharacteristic
206#13094018—42no—
207#13094017—42no—
208#13094010—42no—
209#13094006—42no—
210#13094005—42no—
211#13094003—42no—
212#13094001—24no—
213#13094001—42no—
214#13094001—42no—
215#13094001—42no—
216#13094000—42no—
217#13093996—24no—
218#13093996—42no—
219#13093996—42no—
220#13093993—42no—
221D4×Dic47—42no—
222(C22⋊D47)⋊C4—42no—
223C2×C4⋊Dic47C2311yescharacteristic
224C2×C4⋊Dic47C2311yescharacteristic
225C2×C4⋊Dic47C2311yescharacteristic
226C2×C4⋊Dic47C2311yescharacteristic
227C2×C4⋊Dic47C2311yescharacteristic
228C2×C4⋊Dic47C2311yescharacteristic
229C2×C4⋊Dic47C2311yescharacteristic
230C2×Dic47⋊C4—42no—
231C2×Dic47⋊C4—42no—
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×Dic47⋊C4C2311yescharacteristic
243C2×Dic47⋊C4C2311yescharacteristic
244C2×Dic47⋊C4C2311yescharacteristic
245C2×Dic47⋊C4C2311yescharacteristic
246C2×Dic47⋊C4C2311yescharacteristic
247C2×Dic47⋊C4C2311yescharacteristic
248C2×Dic47⋊C4C2311yescharacteristic
249C2×Dic47⋊C4C2311yescharacteristic
250C2×Dic47⋊C4C2311yescharacteristic
251C2×Dic47⋊C4C2311yescharacteristic
252C2×Dic47⋊C4C2311yescharacteristic
253C2×Dic47⋊C4C2311yescharacteristic
254C2×Dic47⋊C4C2311yescharacteristic
255C2×Dic47⋊C4C2311yescharacteristic
256C2×Dic47⋊C4C2311yescharacteristic
257C2×Dic47⋊C4C2311yescharacteristic
258C2×C22⋊Dic47—42no—
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×(C2×D47)⋊C4C2311yescharacteristic
287C2×(C2×D47)⋊C4C2311yescharacteristic
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
328C47⋊#95C2311yescharacteristic
329C47⋊#95C2311yescharacteristic
330C25×C47C2311yescharacteristic
331C22×Q8×C47C2311yescharacteristic
332C22×D4×C47C2311yescharacteristic
333C22×D4×C47C2311yescharacteristic
334C22×D4×C47C2311yescharacteristic
335C23×C4×C47C2311yescharacteristic
336C23×C4×C47C2311yescharacteristic
337#124×C47—42no—
338C22⋊Q8×C47—42no—
339#120×C47—42no—
340C2×C4⋊C4×C47C2311yescharacteristic
341C2×C4⋊C4×C47C2311yescharacteristic
342C2×C4⋊C4×C47C2311yescharacteristic
343C2×C22⋊C4×C47—42no—
344C2×C22⋊C4×C47C2311yescharacteristic
345C2×C22⋊C4×C47C2311yescharacteristic
346C2×C22⋊C4×C47C2311yescharacteristic
347C2×C22⋊C4×C47C2311yescharacteristic
348C2×C22⋊C4×C47C2311yescharacteristic
349C2×C22⋊C4×C47C2311yescharacteristic
350C2×C22⋊C4×C47C2311yescharacteristic
351C2×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×C42×C47C2311yescharacteristic
362C2×C42×C47C2311yescharacteristic
363#95×C47C2311yescharacteristic
364#95×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×C47C2411yescharacteristic
377C24×C47C2411yescharacteristic
378C24×C47C2411yescharacteristic
379C24×C47C2411yescharacteristic
380C23×D47C2411yescharacteristic
381C2×Q8×C47—41no—
382C2×Q8×C47—41no—
383C2×Q8×C47—41no—
384C2×D4×C47—22no—
385C2×D4×C47—22no—
386C2×D4×C47—22no—
387C2×D4×C47—22no—
388C2×D4×C47—22no—
389C2×D4×C47—41no—
390C2×D4×C47—41no—
391C2×D4×C47—41no—
392C2×D4×C47—41no—
393C22×C4×C47—22no—
394C22×C4×C47—22no—
395C22×C4×C47—41no—
396C22×C4×C47—41no—
397C22×C4×C47—41no—
398C22×C4×C47—41no—
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
408C22×C4×C47C2411yescharacteristic
409C22×C4×C47C2411yescharacteristic
410C2×C22⋊D47—22no—
411C2×C22⋊D47—22no—
412C2×C22⋊D47—22no—
413C2×C22⋊D47—22no—
414C2×C22⋊D47—22no—
415C2×C22⋊D47—22no—
416C2×C22⋊D47—41no—
417C2×C22⋊D47—41no—
418C2×C22⋊D47—41no—
419C2×C22⋊D47—41no—
420C2×C22⋊D47—41no—
421C2×C22⋊D47—41no—
422C22×Dic47—22no—
423C22×Dic47—22no—
424C22×Dic47—22no—
425C22×Dic47—22no—
426C22×Dic47—22no—
427C22×Dic47—22no—
428C22×Dic47—22no—
429C22×Dic47—22no—
430C22×Dic47—22no—
431C22×Dic47—22no—
432C22×Dic47—22no—
433C22×Dic47—22no—
434C22×Dic47—22no—
435C22×Dic47—41no—
436C22×Dic47—41no—
437C22×Dic47—41no—
438C22×Dic47—41no—
439C22×Dic47—41no—
440C22×Dic47—41no—
441C22×Dic47—41no—
442C22×Dic47—41no—
443C22×Dic47—41no—
444C22×Dic47—41no—
445C22×Dic47—41no—
446C22×Dic47—41no—
447C22×Dic47—41no—
448C22×Dic47—416no—
449C22×Dic47#4114yes—
450C22×Dic47C2411yescharacteristic
451C22×Dic47C2411yescharacteristic
452C22×Dic47C2411yescharacteristic
453C22×Dic47C2411yescharacteristic
454C22×Dic47C2411yescharacteristic
455C22×Dic47C2411yescharacteristic
456C22×Dic47C2411yescharacteristic
457C22×Dic47C2411yescharacteristic
458C22×Dic47C2411yescharacteristic
459C22×Dic47C2411yescharacteristic
460C22×Dic47C2411yescharacteristic
461C22×Dic47C2411yescharacteristic
462C22×Dic47C2411yescharacteristic
463C22×Dic47C2411yescharacteristic
464C22×Dic47C2411yescharacteristic
465C2×C4×D47—41no—
466C2×C4×D47—41no—
467C2×C4×D47—41no—
468C2×Dic94—22no—
469C2×Dic94—41no—
470C2×Dic94—41no—
471C2×Dic94—41no—
472C2×Dic94—41no—
473C2×Dic94—41no—
474C4⋊C4×C47—41no—
475C4⋊C4×C47—41no—
476C4⋊C4×C47—41no—
477C22⋊C4×C47—22no—
478C22⋊C4×C47—22no—
479C22⋊C4×C47—22no—
480C22⋊C4×C47—22no—
481C22⋊C4×C47—22no—
482C22⋊C4×C47—22no—
483C22⋊C4×C47—22no—
484C22⋊C4×C47—41no—
485C22⋊C4×C47—41no—
486C22⋊C4×C47—41no—
487C22⋊C4×C47—41no—
488C22⋊C4×C47—41no—
489C22⋊C4×C47—41no—
490C22⋊C4×C47—41no—
491C22⋊C4×C47—41no—
492C22⋊C4×C47—41no—
493C22⋊C4×C47—41no—
494C42×C47—41no—
495C42×C47—41no—
496C22⋊Dic47—22no—
497C22⋊Dic47—22no—
498C22⋊Dic47—22no—
499C22⋊Dic47—22no—
500C22⋊Dic47—22no—
501C22⋊Dic47—22no—
502C22⋊Dic47—22no—
503C22⋊Dic47—22no—
504C22⋊Dic47—22no—
505C22⋊Dic47—22no—
506C22⋊Dic47—41no—
507C22⋊Dic47—41no—
508C22⋊Dic47—41no—
509C22⋊Dic47—41no—
510C22⋊Dic47—41no—
511C22⋊Dic47—41no—
512C22⋊Dic47—41no—
513C22⋊Dic47—41no—
514C22⋊Dic47—41no—
515(C2×D47)⋊C4—22no—
516(C2×D47)⋊C4—22no—
517(C2×D47)⋊C4—22no—
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—
525C4⋊Dic47—22no—
526C4⋊Dic47—22no—
527C4⋊Dic47—22no—
528C4⋊Dic47—41no—
529C4⋊Dic47—41no—
530C4⋊Dic47—41no—
531C4⋊Dic47—41no—
532Dic47⋊C4—22no—
533Dic47⋊C4—22no—
534Dic47⋊C4—22no—
535Dic47⋊C4—22no—
536Dic47⋊C4—22no—
537Dic47⋊C4—22no—
538Dic47⋊C4—22no—
539Dic47⋊C4—22no—
540Dic47⋊C4—22no—
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—
555Dic47⋊C4—41no—
556Dic47⋊C4—41no—
557Dic47⋊C4—41no—
558C4×Dic47—41no—
559C4×Dic47—41no—
560C4×Dic47—41no—
561C4×Dic47—41no—
562C23×C47—21no—
563C23×C47—21no—
564C23×C47—21no—
565C23×C47—21no—
566C23×C47—28no—
567C23×C47—21no—
568C23×C47—21no—
569C23×C47—21no—
570C23×C47—21no—
571C23×C47—21no—
572C23×C47—21no—
573C23×C47—21no—
574C23×C47—21no—
575C23×C47—21no—
576C23×C47—21no—
577C23×C47—21no—
578C23×C47—21no—
579C23×C47—21no—
580C23×C47—21no—
581C23×C47—21no—
582C23×C47—21no—
583C23×C47—21no—
584C23×C47—21no—
585C23×C47—21no—
586C23×C47—44no—
587C23×C47—44no—
588C23×C47—44no—
589C23×C47—44no—
590C23×C47—44no—
591C23×C47—44no—
592C23×C47C2×#4112yes—
593C23×C47H(5,𝔽2)12yes—
594C23×C47H(5,𝔽2)12yes—
595C23×C472−1+412yes—
596C23×C472−1+412yes—
597C23×C47C2511yescharacteristic
598C22×D47—21no—
599C22×D47—21no—
600C22×D47—21no—
601C22×D47—21no—
602C22×D47—21no—
603C22×D47—21no—
604C22×D47—21no—
605Q8×C47—82no—
606D4×C47—44no—
607D4×C47—82no—
608D4×C47—82no—
609C2×C4×C47—21no—
610C2×C4×C47—21no—
611C2×C4×C47—21no—
612C2×C4×C47—21no—
613C2×C4×C47—21no—
614C2×C4×C47—21no—
615C2×C4×C47—21no—
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—82no—
643C2×C4×C47—82no—
644C22⋊D47—44no—
645C22⋊D47—82no—
646C22⋊D47—82no—
647C22⋊D47—82no—
648C2×Dic47—28no—
649C2×Dic47—21no—
650C2×Dic47—21no—
651C2×Dic47—21no—
652C2×Dic47—21no—
653C2×Dic47—21no—
654C2×Dic47—21no—
655C2×Dic47—21no—
656C2×Dic47—21no—
657C2×Dic47—21no—
658C2×Dic47—21no—
659C2×Dic47—21no—
660C2×Dic47—21no—
661C2×Dic47—21no—
662C2×Dic47—21no—
663C2×Dic47—21no—
664C2×Dic47—21no—
665C2×Dic47—21no—
666C2×Dic47—21no—
667C2×Dic47—21no—
668C2×Dic47—21no—
669C2×Dic47—21no—
670C2×Dic47—21no—
671C2×Dic47—21no—
672C2×Dic47—21no—
673C2×Dic47—21no—
674C2×Dic47—21no—
675C2×Dic47—21no—
676C2×Dic47—21no—
677C2×Dic47—21no—
678C2×Dic47—21no—
679C2×Dic47—21no—
680C2×Dic47—21no—
681C2×Dic47—21no—
682C2×Dic47—21no—
683C2×Dic47—21no—
684C2×Dic47—21no—
685C2×Dic47—21no—
686C2×Dic47—21no—
687C2×Dic47—21no—
688C2×Dic47—21no—
689C2×Dic47—21no—
690C2×Dic47—44no—
691C2×Dic47—44no—
692C2×Dic47—44no—
693C2×Dic47—44no—
694C2×Dic47—44no—
695C2×Dic47—82no—
696C2×Dic47—82no—
697C2×Dic47—82no—
698C2×Dic47C2×#4112yes—
699C2×Dic47C2×#4112yes—
700C2×Dic47H(5,𝔽2)12yes—
701C2×Dic47H(5,𝔽2)12yes—
702C4×D47—82no—
703Dic94—82no—
704Dic94—82no—
705#36729—471nomaximal, Sylow
706C22×C47—22no—
707C22×C47—22no—
708C22×C47—22no—
709C22×C47—22no—
710C22×C47—22no—
711C22×C47—22no—
712C22×C47—22no—
713C22×C47—22no—
714C22×C47—22no—
715C22×C47—22no—
716C22×C47—22no—
717C22×C47—22no—
718C22×C47—416no—
719C22×C47—41no—
720C22×C47—41no—
721C22×C47—41no—
722C22×C47—41no—
723C22×C47—41no—
724C22×C47—41no—
725C22×C47—41no—
726C22×C47—41no—
727C22×C47—41no—
728C22×C47—41no—
729C22×C47—41no—
730C22×C47—41no—
731C22×C47—41no—
732C22×C47—41no—
733C22×C47—41no—
734C22×C47#54214yes—
735C22×C47C22×#4111yescharacteristic
736C22×C47C2×H(5,𝔽2)11yescharacteristic
737C22×C47C2×H(5,𝔽2)11yescharacteristic
738C22×C47C2×H(5,𝔽2)11yescharacteristic
739C22×C47C2×H(5,𝔽2)11yescharacteristic
740C22×C47C2×2−1+411yescharacteristic
741C22×C47C2×2−1+411yescharacteristic
742C2×D47—41no—
743C2×D47—41no—
744C2×D47—41no—
745C2×D47—41no—
746C2×D47—41no—
747C2×D47—41no—
748C2×D47—41no—
749C4×C47—41no—
750C4×C47—41no—
751C4×C47—41no—
752C4×C47—41no—
753C4×C47—41no—
754C4×C47—41no—
755C4×C47—41no—
756C4×C47—41no—
757C4×C47—41no—
758C4×C47—41no—
759C4×C47—41no—
760Dic47—22no—
761Dic47—22no—
762Dic47—22no—
763Dic47—22no—
764Dic47—41no—
765Dic47—41no—
766Dic47—41no—
767Dic47—41no—
768Dic47—41no—
769Dic47—41no—
770Dic47—41no—
771Dic47—41no—
772Dic47—41no—
773Dic47—41no—
774Dic47—41no—
775#2848—471no—
776#2847—471no—
777#2747—471no—
778#2747—471no—
779#2742—471no—
780#2742—471no—
781#2741—471no—
782#2741—471no—
783#2717—471no—
784#2717—471no—
785#2702—471no—
786#2702—471no—
787#2692—471no—
788#2692—471no—
789#2691—471no—
790#2691—471no—
791#2672—471no—
792#2672—471no—
793#2659—471no—
794#2639—471no—
795#2481—471no—
796#2481—471no—
797#2472—471no—
798#2472D4711yescharacteristic, complemented
799#2449—471no—
800#2449—471no—
801#2418—471no—
802#2418—471no—
803#2329—471no—
804#2325—471no—
805C2×#380—471no—
806C2×C47—24no—
807C2×C47—42no—
808C2×C47—42no—
809C2×C47—81no—
810C2×C47C2×#54211yescharacteristic
811C2×C47#349011yescharacteristic
812C2×C47#349211yescharacteristic
813C2×C47#353611yescharacteristic
814C2×C47#353611yescharacteristic
815C2×C47#353711yescharacteristic
816C2×C47#353811yescharacteristic
817D47—81no—
818C24×C4—471no—
819C2×#126—471no—
820C2×#126—471no—
821C2×#124—471no—
822C2×#124C2×D4711yescharacteristic
823C2×#123—471no—
824C2×#123—471no—
825C2×C22⋊Q8—471no—
826C2×C22⋊Q8—471no—
827C2×C22⋊Q8—471no—
828C2×C22⋊Q8—471no—
829C2×C22⋊Q8—471no—
830C2×C22⋊Q8—471no—
831C2×C22⋊Q8C2×D4711yescharacteristic
832C2×#121—471no—
833C2×#121—471no—
834C2×#121—471no—
835C2×#120—471no—
836C2×#120C2×D4711yescharacteristic
837C2×C4×D4—471no—
838C2×C4×D4—471no—
839C22×C4⋊C4—471no—
840C22×C4⋊C4—471no—
841C22×C22⋊C4—471no—
842C22×C22⋊C4C2×D4711yescharacteristic
843#400—471no—
844#400—471no—
845#400—471no—
846#400—471no—
847#400—471no—
848#400—471no—
849#399—471no—
850#399—471no—
851#399—471no—
852#399—471no—
853#398—471no—
854#398—471no—
855#398—471no—
856#398—471no—
857#398—471no—
858#398—471no—
859#397—471no—
860#397—471no—
861#397—471no—
862#397—471no—
863#397—471no—
864#397—471no—
865#397—471no—
866#397C2×D4711yescharacteristic
867#396—471no—
868#396—471no—
869#396—471no—
870#396—471no—
871#395—471no—
872#395—471no—
873#395—471no—
874#395—471no—
875#395—471no—
876#395—471no—
877#394—471no—
878#394—471no—
879#394—471no—
880#394—471no—
881#394—471no—
882#394—471no—
883#394—471no—
884#394—471no—
885#394C2×D4711yescharacteristic
886#394C2×D4711yescharacteristic
887#393—471no—
888#393—471no—
889#393—471no—
890#393C2×D4711yescharacteristic
891#391—471no—
892#391—471no—
893#390—471no—
894#390C2×D4711yescharacteristic
895#389—471no—
896#389—471no—
897#389—471no—
898#389—471no—
899#388—471no—
900#388—471no—
901#388—471no—
902#388—471no—
903#388—471no—
904#388—471no—
905#388—471no—
906#388—471no—
907#388—471no—
908#388—471no—
909#388C2×D4711yescharacteristic
910#388C2×D4711yescharacteristic
911#387—471no—
912#387—471no—
913#387—471no—
914#387—471no—
915#387—471no—
916#387—471no—
917#387—471no—
918#387—471no—
919#387—471no—
920#387—471no—
921#387—471no—
922#387—471no—
923#386—471no—
924#386—471no—
925#386—471no—
926#386—471no—
927#386—471no—
928#386—471no—
929#386—471no—
930#386—471no—
931#386—471no—
932#386—471no—
933#386—471no—
934#386—471no—
935#386—471no—
936#386—471no—
937#386C2×D4711yescharacteristic
938#386C2×D4711yescharacteristic
939#385—471no—
940#385—471no—
941#385—471no—
942#385—471no—
943#385—471no—
944#385—471no—
945#385—471no—
946#385—471no—
947#385—471no—
948#385—471no—
949#385—471no—
950#385—471no—
951#380—471no—
952#380—471no—
953#380—471no—
954#380—471no—
955#380—471no—
956#380—471no—
957#380—471no—
958#380—471no—
959#380—471no—
960#380—471no—
961#380—471no—
962#380—471no—
963#380—471no—
964#380—471no—
965#380—471no—
966#380—471no—
967#379—471no—
968#379C2×D4711yescharacteristic
969C4×C22⋊C4—471no—
970C4×C22⋊C4C2×D4711yescharacteristic
971C2×#95—471no—
972C2×#95—471no—
973C47#3672911yescharacteristic, complemented, Sylow
974C25C22×D4711yescharacteristic
975C22×Q8—471no—
976C22×Q8—471no—
977C22×Q8C22×D4711yescharacteristic
978C22×D4—471no—
979C22×D4—471no—
980C22×D4—471no—
981C22×D4—471no—
982C22×D4C22×D4711yescharacteristic
983C22×D4C22×D4711yescharacteristic
984C22×D4C22×D4711yescharacteristic
985C23×C4—471no—
986C23×C4—471no—
987C23×C4—471no—
988C23×C4—471no—
989C23×C4—471no—
990C23×C4—471no—
991C23×C4—471no—
992C23×C4—471no—
993C23×C4—471no—
994C23×C4—471no—
995C23×C4—944no—
996C23×C4—1882no—
997C23×C4—1882no—
998C23×C4C22×D4711yescharacteristic
999C23×C4C22×D4711yescharacteristic
1000#126—1882no—
1001#126—1882no—
1002#124—42no—
1003#124—1882no—
1004#123—1882no—
1005#123—1882no—
1006C22⋊Q8—42no—
1007C22⋊Q8—944no—
1008C22⋊Q8—1882no—
1009C22⋊Q8—1882no—
1010C22⋊Q8—1882no—
1011C22⋊Q8—1882no—
1012C22⋊Q8—1882no—
1013#121—944no—
1014#121—1882no—
1015#121—1882no—
1016#120—42no—
1017#120—1882no—
1018C4×D4—1882no—
1019C4×D4—1882no—
1020C2×C4⋊C4—471no—
1021C2×C4⋊C4—471no—
1022C2×C4⋊C4—471no—
1023C2×C4⋊C4—471no—
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—471no—
1045C2×C4⋊C4—471no—
1046C2×C4⋊C4—471no—
1047C2×C4⋊C4—471no—
1048C2×C4⋊C4—471no—
1049C2×C4⋊C4—471no—
1050C2×C4⋊C4—471no—
1051C2×C4⋊C4—471no—
1052C2×C4⋊C4—471no—
1053C2×C4⋊C4—1882no—
1054C2×C4⋊C4—1882no—
1055C2×C4⋊C4C22×D4711yescharacteristic
1056C2×C4⋊C4C22×D4711yescharacteristic
1057C2×C4⋊C4C22×D4711yescharacteristic
1058C2×C22⋊C4—42no—
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—1882no—
1089C2×C22⋊C4C22×D4711yescharacteristic
1090C2×C22⋊C4C22×D4711yescharacteristic
1091C2×C22⋊C4C22×D4711yescharacteristic
1092C2×C22⋊C4C22×D4711yescharacteristic
1093C2×C22⋊C4C22×D4711yescharacteristic
1094C2×C22⋊C4C22×D4711yescharacteristic
1095C2×C22⋊C4C22×D4711yescharacteristic
1096C2×C22⋊C4C22×D4711yescharacteristic
1097C2×C22⋊C4C22×D4711yescharacteristic
1098C2×C22⋊C4C22×D4711yescharacteristic
1099C2×C22⋊C4C22×D4711yescharacteristic
1100C2×C22⋊C4C22×D4711yescharacteristic
1101C2×C22⋊C4C22×D4711yescharacteristic
1102C2×C22⋊C4C22×D4711yescharacteristic
1103C2×C22⋊C4C22×D4711yescharacteristic
1104C2×C22⋊C4C22×D4711yescharacteristic
1105C2×C22⋊C4C22×D4711yescharacteristic
1106C2×C42—471no—
1107C2×C42—471no—
1108C2×C42—471no—
1109C2×C42—471no—
1110C2×C42C22×D4711yescharacteristic
1111C2×C42C22×D4711yescharacteristic
1112#95—471no—
1113#95—471no—
1114#95—471no—
1115#95—471no—
1116#95—471no—
1117#95—471no—
1118#95—471no—
1119#95—471no—
1120#95—471no—
1121#95—471no—
1122#95—471no—
1123#95—471no—
1124#95—471no—
1125#95—471no—
1126#95—471no—
1127#95—471no—
1128#95—471no—
1129#95—471no—
1130#95—471no—
1131#95—471no—
1132#95—471no—
1133#95—471no—
1134#95—471no—
1135#95—471no—
1136#95—471no—
1137#95—471no—
1138#95—471no—
1139#95—471no—
1140#95—471no—
1141#95—471no—
1142#95—471no—
1143#95—471no—
1144#95—471no—
1145#95—471no—
1146#95—471no—
1147#95—471no—
1148#95—471no—
1149#95—471no—
1150#95C22×D4711yescharacteristic
1151#95C22×D4711yescharacteristic
1152#95C22×D4711yescharacteristic
1153#95C22×D4711yescharacteristic
1154#95C22×D4711yescharacteristic
1155#95C22×D4711yescharacteristic
1156C24—22no—
1157C24—22no—
1158C24—22no—
1159C24—22no—
1160C24—22no—
1161C24—41no—
1162C24—41no—
1163C24—471no—
1164C24C23×D4711yescharacteristic
1165C24C23×D4711yescharacteristic
1166C24C23×D4711yescharacteristic
1167C24C23×D4711yescharacteristic
1168C2×Q8—41no—
1169C2×Q8—41no—
1170C2×Q8—41no—
1171C2×Q8—942no—
1172C2×Q8—1881no—
1173C2×Q8—1881no—
1174C2×Q8—1881no—
1175C2×Q8—1881no—
1176C2×Q8—1881no—
1177C2×D4—22no—
1178C2×D4—22no—
1179C2×D4—22no—
1180C2×D4—22no—
1181C2×D4—22no—
1182C2×D4—41no—
1183C2×D4—41no—
1184C2×D4—41no—
1185C2×D4—41no—
1186C2×D4—942no—
1187C2×D4—942no—
1188C2×D4—942no—
1189C2×D4—942no—
1190C2×D4—942no—
1191C2×D4—942no—
1192C2×D4—1881no—
1193C2×D4—1881no—
1194C2×D4—1881no—
1195C2×D4—1881no—
1196C2×D4—1881no—
1197C2×D4—1881no—
1198C22×C4—22no—
1199C22×C4—22no—
1200C22×C4—41no—
1201C22×C4—41no—
1202C22×C4—41no—
1203C22×C4—41no—
1204C22×C4—471no—
1205C22×C4—471no—
1206C22×C4—471no—
1207C22×C4—471no—
1208C22×C4—474no—
1209C22×C4—471no—
1210C22×C4—471no—
1211C22×C4—471no—
1212C22×C4—471no—
1213C22×C4—471no—
1214C22×C4—471no—
1215C22×C4—471no—
1216C22×C4—471no—
1217C22×C4—471no—
1218C22×C4—471no—
1219C22×C4—471no—
1220C22×C4—942no—
1221C22×C4—942no—
1222C22×C4—942no—
1223C22×C4—942no—
1224C22×C4—942no—
1225C22×C4—942no—
1226C22×C4—942no—
1227C22×C4—942no—
1228C22×C4—942no—
1229C22×C4—942no—
1230C22×C4—942no—
1231C22×C4—942no—
1232C22×C4—942no—
1233C22×C4—1881no—
1234C22×C4—1881no—
1235C22×C4—1881no—
1236C22×C4—1881no—
1237C22×C4—1881no—
1238C22×C4—1881no—
1239C22×C4—1881no—
1240C22×C4—1881no—
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—18816no—
1250C22×C4C23×D4711yescharacteristic
1251C22×C4C23×D4711yescharacteristic
1252C22×C4C23×D4711yescharacteristic
1253C22×C4C23×D4711yescharacteristic
1254C22×C4C23×D4711yescharacteristic
1255C22×C4C23×D4711yescharacteristic
1256C22×C4C23×D4711yescharacteristic
1257C22×C4C23×D4711yescharacteristic
1258C22×C4C23×D4711yescharacteristic
1259C22×C4C23×D4711yescharacteristic
1260C22×C4C23×D4711yescharacteristic
1261C4⋊C4—41no—
1262C4⋊C4—41no—
1263C4⋊C4—41no—
1264C4⋊C4—942no—
1265C4⋊C4—942no—
1266C4⋊C4—942no—
1267C4⋊C4—942no—
1268C4⋊C4—942no—
1269C4⋊C4—942no—
1270C4⋊C4—942no—
1271C4⋊C4—942no—
1272C4⋊C4—942no—
1273C4⋊C4—942no—
1274C4⋊C4—942no—
1275C4⋊C4—942no—
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—
1295C4⋊C4—1881no—
1296C4⋊C4—1881no—
1297C22⋊C4—22no—
1298C22⋊C4—22no—
1299C22⋊C4—22no—
1300C22⋊C4—22no—
1301C22⋊C4—22no—
1302C22⋊C4—22no—
1303C22⋊C4—22no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C22⋊C4—942no—
1315C22⋊C4—942no—
1316C22⋊C4—942no—
1317C22⋊C4—942no—
1318C22⋊C4—942no—
1319C22⋊C4—942no—
1320C22⋊C4—942no—
1321C22⋊C4—942no—
1322C22⋊C4—942no—
1323C22⋊C4—942no—
1324C22⋊C4—942no—
1325C22⋊C4—942no—
1326C22⋊C4—942no—
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—
1343C42—41no—
1344C42—41no—
1345C42—1881no—
1346C42—1881no—
1347C42—1881no—
1348C42—1881no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—28no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—44no—
1374C23—44no—
1375C23—44no—
1376C23—44no—
1377C23—44no—
1378C23—44no—
1379C23—941no—
1380C23—941no—
1381C23—941no—
1382C23—941no—
1383C23—941no—
1384C23—941no—
1385C23—941no—
1386C23#41×D4712yes—
1387C23#1309406912yes—
1388C23#1309406912yes—
1389C23#1309407112yes—
1390C23#1309407112yes—
1391C23C24×D4711yescharacteristic
1392Q8—82no—
1393Q8—3762no—
1394Q8—3762no—
1395D4—44no—
1396D4—82no—
1397D4—82no—
1398D4—3762no—
1399D4—3762no—
1400D4—3762no—
1401D4—1884no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—82no—
1436C2×C4—82no—
1437C2×C4—472no—
1438C2×C4—472no—
1439C2×C4—472no—
1440C2×C4—472no—
1441C2×C4—948no—
1442C2×C4—941no—
1443C2×C4—941no—
1444C2×C4—941no—
1445C2×C4—941no—
1446C2×C4—941no—
1447C2×C4—941no—
1448C2×C4—941no—
1449C2×C4—941no—
1450C2×C4—941no—
1451C2×C4—941no—
1452C2×C4—941no—
1453C2×C4—941no—
1454C2×C4—941no—
1455C2×C4—941no—
1456C2×C4—941no—
1457C2×C4—941no—
1458C2×C4—941no—
1459C2×C4—941no—
1460C2×C4—941no—
1461C2×C4—941no—
1462C2×C4—941no—
1463C2×C4—941no—
1464C2×C4—941no—
1465C2×C4—941no—
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—3762no—
1484C2×C4—3762no—
1485C2×C4—3762no—
1486C2×C4—3762no—
1487C2×C4—1884no—
1488C2×C4—1884no—
1489C2×C4—1884no—
1490C2×C4—1884no—
1491C2×C4—1884no—
1492C22—22no—
1493C22—22no—
1494C22—22no—
1495C22—22no—
1496C22—22no—
1497C22—22no—
1498C22—22no—
1499C22—22no—
1500C22—22no—
1501C22—22no—
1502C22—22no—
1503C22—22no—
1504C22—416no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—1881no—
1521C22—1881no—
1522C22—1881no—
1523C22—1881no—
1524C22—1881no—
1525C22—1881no—
1526C22—1881no—
1527C22#1568973714yes—
1528C22C2×#41×D4711yescharacteristic
1529C22H(5,𝔽2)×D4711yescharacteristic
1530C22H(5,𝔽2)×D4711yescharacteristic
1531C22C2×#1309406911yescharacteristic
1532C22C2×#1309406911yescharacteristic
1533C22C2×#1309407111yescharacteristic
1534C22C2×#1309407111yescharacteristic
1535C4—41no—
1536C4—41no—
1537C4—41no—
1538C4—41no—
1539C4—41no—
1540C4—41no—
1541C4—41no—
1542C4—41no—
1543C4—41no—
1544C4—41no—
1545C4—41no—
1546C4—942no—
1547C4—942no—
1548C4—942no—
1549C4—942no—
1550C4—1881no—
1551C4—1881no—
1552C4—1881no—
1553C4—1881no—
1554C4—1881no—
1555C4—1881no—
1556C4—1881no—
1557C4—1881no—
1558C4—1881no—
1559C4—1881no—
1560C4—1881no—
1561C2—24no—
1562C2—42no—
1563C2—42no—
1564C2—81no—
1565C2—3761no—
1566C2C2×#1568973711yescharacteristic
1567C2#2025707411yescharacteristic
1568C2#2025708911yescharacteristic
1569C2#2025760311yescharacteristic
1570C2#2025760311yescharacteristic
1571C2#2025761811yescharacteristic
1572C2#2025762811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2472C2
prime radical#20251668C2
hypercenter#2472D47
hypocenterC47#36729
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2472

Complements

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

NH ≅ G/Ntype
1. #20251673C2semidirect
3. #20250592C2semidirect
4. #20250584C2semidirect
5. #20250514C2semidirect
6. #20250511C2semidirect
7. #20250508C2semidirect
8. #20250504C2semidirect
9. #20250223C2semidirect
10. #20250222C2semidirect
11. #20250017C2semidirect
12. #20250009C2semidirect
13. #20249889C2semidirect
14. #20249881C2semidirect
15. #20249870C2semidirect
16. #20249862C2semidirect
17. #20249641C2semidirect
18. #20249634C2semidirect
19. #20249504C2semidirect
20. #20249318C2semidirect
21. #20247651C2semidirect
22. #20247649C2semidirect
23. #20247508C2semidirect
24. #20247201C2semidirect
25. #20247193C2semidirect
26. #20246854C2semidirect
27. #20246846C2semidirect
28. #20246116C2semidirect
29. #20246089C2semidirect
30. C2×#15688981C2semidirect
31. C47×#2472C2semidirect
33. C2×#13094018C22semidirect
34. C2×#13094017C22semidirect
42. C2×#13094001C22semidirect
43. C2×#13094000C22semidirect
53. #15689065C22semidirect
54. #15689065C22semidirect
55. #15689064C22semidirect
56. #15689064C22semidirect
57. #15689064C22semidirect
58. #15689064C22semidirect
61. #15689059C22semidirect
62. #15689058C22semidirect
63. #15689057C22semidirect
64. #15689056C22semidirect
65. #15689054C22semidirect
66. #15689054C22semidirect
67. #15689053C22semidirect
68. #15689053C22semidirect
69. #15689052C22semidirect
70. #15689052C22semidirect
73. #15689051C22semidirect
74. #15689051C22semidirect
76. #15689047C22semidirect
77. #15689046C22semidirect
78. #15689046C22semidirect
79. #15689045C22semidirect
80. #15689044C22semidirect
81. #15689043C22semidirect
82. #15689043C22semidirect
83. #15689042C22semidirect
84. #15689042C22semidirect
85. #15689042C22semidirect
88. #15689039C22semidirect
91. #15689038C22semidirect
94. #15689036C22semidirect
96. #15689035C22semidirect
97. #15689029C22semidirect
98. #15689027C22semidirect
100. #15689021C22semidirect
101. #15689020C22semidirect
102. #15689020C22semidirect
103. #15689019C22semidirect
105. #15689017C22semidirect
106. #15689017C22semidirect
109. #15689014C22semidirect
110. #15689012C22semidirect
114. #15689010C22semidirect
115. #15689010C22semidirect
116. #15689010C22semidirect
117. #15689008C22semidirect
118. #15689007C22semidirect
119. #15689007C22semidirect
120. #15689007C22semidirect
121. #15689007C22semidirect
122. #15689006C22semidirect
123. #15689005C22semidirect
124. #15689005C22semidirect
125. #15689004C22semidirect
137. #15689000C22semidirect
139. #15688999C22semidirect
144. #15688997C22semidirect
149. #15688995C22semidirect
150. #15688995C22semidirect
151. #15688994C22semidirect
798. #2472D47semidirect
973. C47#36729semidirect

Maximal subgroups

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

subgroupindex
#202516732
#202516682
#202505922
#202505842
#202505142
#202505112
#202505082
#202505042
#202502232
#202502222
#202500172
#202500092
#202498892
#202498812
#202498702
#202498622
#202496412
#202496342
#202495042
#202493182
#202476512
#202476492
#202475082
#202472012
#202471932
#202468542
#202468462
#202461162
#202460892
C2×#156889812
C47×#24722
#3672947