Finite Group Databasebeta

← #26425213

Subgroups — #26425213

Order 12032.

1950 conjugacy classes of subgroups.

The subgroup lattice has 1590 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20251702C211yesmaximal, characteristic, complemented
2#20251686C211yesmaximal, characteristic, complemented
3#20251367C211yesmaximal, characteristic, complemented
4#20251322C211yesmaximal, characteristic, complemented
5#20251319C211yesmaximal, characteristic, complemented
6#20251110C211yesmaximal, characteristic, complemented
7#20251054C211yesmaximal, characteristic, complemented
8#20251019C211yesmaximal, characteristic, complemented
9#20251006C211yesmaximal, characteristic, complemented
10#20250957C211yesmaximal, characteristic, complemented
11#20250748C211yesmaximal, characteristic, complemented
12#20250707C211yesmaximal, characteristic, complemented
13#20250639C211yesmaximal, characteristic, complemented
14#20250411C211yesmaximal, characteristic, complemented
15#20250196C211yesmaximal, characteristic, complemented
16#20250177C211yesmaximal, characteristic, complemented
17#20249796C211yesmaximal, characteristic, complemented
18#20249162C211yesmaximal, characteristic, complemented
19#20249121C211yesmaximal, characteristic, complemented
20#20247955C211yesmaximal, characteristic, complemented
21#20247520C211yesmaximal, characteristic, complemented
22#20247131C211yesmaximal, characteristic, complemented
23#20247059C211yesmaximal, characteristic, complemented
24#20246995C211yesmaximal, characteristic, complemented
25#20246925C211yesmaximal, characteristic, complemented
26#20246766C211yesmaximal, characteristic, complemented
27#20246705C211yesmaximal, characteristic, complemented
28#20246058C211yesmaximal, characteristic, complemented
29#20245977C211yesmaximal, characteristic, complemented
30#388×D47C211yesmaximal, characteristic, complemented
31C47×#2756C211yesmaximal, characteristic, complemented
32C22×#10625350C2211yescharacteristic
33C2×#13094017C2211yescharacteristic, complemented
34C2×#13094010C2211yescharacteristic
35C2×#13094010C2211yescharacteristic, complemented
36C2×#13094006C2211yescharacteristic
37C2×#13094002C2211yescharacteristic
38C2×#13093997C2211yescharacteristic
39C2×#13093996C2211yescharacteristic
40C2×#13093995C2211yescharacteristic
41C2×#13093994C2211yescharacteristic
42C2×#13093992C2211yescharacteristic
43C2×#13093992C2211yescharacteristic
44C2×(C22⋊D47)⋊C4C2211yescharacteristic
45C2×#13093982C2211yescharacteristic
46C2×C4⋊C4×D47C2211yescharacteristic
47C2×C22⋊C4×D47C2211yescharacteristic
48C2×C22⋊C4×D47C2211yescharacteristic
49C2×C22⋊C4×D47C2211yescharacteristic
50C2×C42×D47C2211yescharacteristic
51C47⋊#401C2211yescharacteristic, complemented
52#15689065C2211yescharacteristic, complemented
53#15689065C2211yescharacteristic, complemented
54#15689064C2211yescharacteristic, complemented
55#15689057C2211yescharacteristic, complemented
56#15689052C2211yescharacteristic
57#15689052C2211yescharacteristic, complemented
58#15689051C2211yescharacteristic
59#15689051C2211yescharacteristic, complemented
60#15689051C2211yescharacteristic, complemented
61#15689050C2211yescharacteristic
62#15689050C2211yescharacteristic
63#15689050C2211yescharacteristic, complemented
64#15689049C2211yescharacteristic
65#15689048C2211yescharacteristic
66#15689047C2211yescharacteristic
67#15689046C2211yescharacteristic
68#15689045C2211yescharacteristic
69#15689044C2211yescharacteristic, complemented
70#15689043C2211yescharacteristic, complemented
71#15689041C2211yescharacteristic
72#15689040C2211yescharacteristic
73#15689039C2211yescharacteristic
74#15689039C2211yescharacteristic
75#15689039C2211yescharacteristic, complemented
76#15689038C2211yescharacteristic
77#15689038C2211yescharacteristic
78#15689038C2211yescharacteristic
79#15689038C2211yescharacteristic
80#15689038C2211yescharacteristic
81#15689037C2211yescharacteristic
82#15689037C2211yescharacteristic
83#15689037C2211yescharacteristic
84#15689036C2211yescharacteristic
85#15689035C2211yescharacteristic
86#15689035C2211yescharacteristic
87#15689035C2211yescharacteristic, complemented
88#15689032C2211yescharacteristic
89#15689032C2211yescharacteristic
90#15689031C2211yescharacteristic
91#15689031C2211yescharacteristic
92#15689031C2211yescharacteristic, complemented
93#15689028C2211yescharacteristic, complemented
94#15689027C2211yescharacteristic, complemented
95#15689027C2211yescharacteristic, complemented
96#15689027C2211yescharacteristic, complemented
97#15689026C2211yescharacteristic
98#15689024C2211yescharacteristic
99#15689023C2211yescharacteristic
100#15689023C2211yescharacteristic, complemented
101#15689023C2211yescharacteristic, complemented
102#15689023C2211yescharacteristic, complemented
103#15689021C2211yescharacteristic, complemented
104#15689018C2211yescharacteristic, complemented
105#15689018C2211yescharacteristic, complemented
106#15689017C2211yescharacteristic
107#15689017C2211yescharacteristic, complemented
108#15689017C2211yescharacteristic, complemented
109#15689017C2211yescharacteristic, complemented
110#15689017C2211yescharacteristic, complemented
111#15689016C2211yescharacteristic
112#15689016C2211yescharacteristic
113#15689016C2211yescharacteristic, complemented
114#15689015C2211yescharacteristic
115#15689015C2211yescharacteristic
116#15689014C2211yescharacteristic
117#15689014C2211yescharacteristic
118#15689014C2211yescharacteristic, complemented
119#15689014C2211yescharacteristic, complemented
120#15689013C2211yescharacteristic
121#15689013C2211yescharacteristic, complemented
122#15689012C2211yescharacteristic
123#15689012C2211yescharacteristic, complemented
124#15689011C2211yescharacteristic
125#15689011C2211yescharacteristic
126#15689011C2211yescharacteristic
127#15689010C2211yescharacteristic, complemented
128#15689010C2211yescharacteristic, complemented
129#15689009C2211yescharacteristic, complemented
130#15689009C2211yescharacteristic, complemented
131#15689007C2211yescharacteristic, complemented
132#15689006C2211yescharacteristic, complemented
133#15689006C2211yescharacteristic, complemented
134#15689005C2211yescharacteristic, complemented
135#15689004C2211yescharacteristic, complemented
136#15689003C2211yescharacteristic, complemented
137#15689002C2211yescharacteristic
138#15689001C2211yescharacteristic
139#15689001C2211yescharacteristic
140#15689001C2211yescharacteristic
141#15689001C2211yescharacteristic
142#15689001C2211yescharacteristic
143#15689000C2211yescharacteristic
144#15688999C2211yescharacteristic
145#15688999C2211yescharacteristic
146#15688999C2211yescharacteristic
147#15688999C2211yescharacteristic
148#15688999C2211yescharacteristic
149#15688999C2211yescharacteristic
150#15688999C2211yescharacteristic
151#15688999C2211yescharacteristic, complemented
152#15688998C2211yescharacteristic, complemented
153#15688997C2211yescharacteristic
154#15688997C2211yescharacteristic
155#15688997C2211yescharacteristic, complemented
156#15688996C2211yescharacteristic, complemented
157#15688995C2211yescharacteristic, complemented
158#15688994C2211yescharacteristic
159#15688994C2211yescharacteristic
160#15688990C2211yescharacteristic, complemented
161#15688987C2211yescharacteristic, complemented
162#15688985C2211yescharacteristic
163#15688984C2211yescharacteristic, complemented
164#15688983C2211yescharacteristic, complemented
165#15688982C2211yescharacteristic
166#15688980C2211yescharacteristic, complemented
167#15688980C2211yescharacteristic, complemented
168#15688978C2211yescharacteristic
169C4×(C2×D47)⋊C4C2211yescharacteristic
170#95×D47C2211yescharacteristic
171#95×D47C2211yescharacteristic
172C47×#398C2211yescharacteristic, complemented
173C47×#397C2211yescharacteristic
174C47×#394C2211yescharacteristic
175C47×#394C2211yescharacteristic
176C47×#394C2211yescharacteristic, complemented
177C47×#392C2211yescharacteristic
178C47×#390C2211yescharacteristic
179C47×#388C2211yescharacteristic
180C47×#388C2211yescharacteristic, complemented
181C47×#388C2211yescharacteristic, complemented
182C47×#388C2211yescharacteristic, complemented
183C47×#386C2211yescharacteristic
184C47×#386C2211yescharacteristic, complemented
185C47×#383C2211yescharacteristic, complemented
186C47×#380C2211yescharacteristic, complemented
187C24×D47C2311yescharacteristic
188C2×#10625350—24no—
189C2×#10625350—42no—
190C2×#10625350—42no—
191C22×Dic94C2311yescharacteristic
192C22×Dic94C2311yescharacteristic
193C22×D188C2311yescharacteristic
194C22×D188C2311yescharacteristic
195C22×C22⋊D47C2311yescharacteristic
196C22×C22⋊D47C2311yescharacteristic
197C22×C22⋊D47C2311yescharacteristic
198C22×C22⋊D47C2311yescharacteristic
199C22×C22⋊D47C2311yescharacteristic
200C22×C22⋊D47C2311yescharacteristic
201C22×C22⋊D47C2311yescharacteristic
202C23×Dic47C2311yescharacteristic
203C22×C4×D47C2311yescharacteristic
204C22×C4×D47C2311yescharacteristic
205C22×C4×D47C2311yescharacteristic
206C22×C4×D47C2311yescharacteristic
207C22×C4×D47C2311yescharacteristic
208C22×C4×D47C2311yescharacteristic
209C22×C4×D47C2311yescharacteristic
210#13094017—42no—
211#13094010—42no—
212#13094010—42no—
213#13094006—24no—
214#13094002—42no—
215#13093997—42no—
216#13093996—42no—
217#13093995—42no—
218#13093994—42no—
219#13093992—42no—
220#13093992—42no—
221(C22⋊D47)⋊C4—42no—
222#13093982—42no—
223C2×C4⋊Dic47C2311yescharacteristic
224C2×C4⋊Dic47C2311yescharacteristic
225C2×C4⋊Dic47C2311yescharacteristic
226C2×C4⋊Dic47C2311yescharacteristic
227C2×C4⋊Dic47C2311yescharacteristic
228C2×C4⋊Dic47C2311yescharacteristic
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
242C4⋊C4×D47—42no—
243C2×C22⋊Dic47C2311yescharacteristic
244C2×C22⋊Dic47C2311yescharacteristic
245C2×C22⋊Dic47C2311yescharacteristic
246C2×C22⋊Dic47C2311yescharacteristic
247C2×C22⋊Dic47C2311yescharacteristic
248C2×C22⋊Dic47C2311yescharacteristic
249C2×C22⋊Dic47C2311yescharacteristic
250C2×C22⋊Dic47C2311yescharacteristic
251C2×C22⋊Dic47C2311yescharacteristic
252C2×C22⋊Dic47C2311yescharacteristic
253C2×C22⋊Dic47C2311yescharacteristic
254C2×C22⋊Dic47C2311yescharacteristic
255C2×C22⋊Dic47C2311yescharacteristic
256C2×C22⋊Dic47C2311yescharacteristic
257C2×C22⋊Dic47C2311yescharacteristic
258C2×(C2×D47)⋊C4C2311yescharacteristic
259C2×(C2×D47)⋊C4C2311yescharacteristic
260C2×(C2×D47)⋊C4C2311yescharacteristic
261C2×(C2×D47)⋊C4C2311yescharacteristic
262C2×(C2×D47)⋊C4C2311yescharacteristic
263C2×(C2×D47)⋊C4C2311yescharacteristic
264C2×(C2×D47)⋊C4C2311yescharacteristic
265C2×(C2×D47)⋊C4C2311yescharacteristic
266C2×(C2×D47)⋊C4C2311yescharacteristic
267C2×(C2×D47)⋊C4C2311yescharacteristic
268C2×(C2×D47)⋊C4C2311yescharacteristic
269C2×(C2×D47)⋊C4C2311yescharacteristic
270C2×(C2×D47)⋊C4C2311yescharacteristic
271C2×(C2×D47)⋊C4C2311yescharacteristic
272C2×(C2×D47)⋊C4C2311yescharacteristic
273C2×(C2×D47)⋊C4C2311yescharacteristic
274C2×(C2×D47)⋊C4C2311yescharacteristic
275C2×(C2×D47)⋊C4C2311yescharacteristic
276C2×(C2×D47)⋊C4C2311yescharacteristic
277C2×(C2×D47)⋊C4C2311yescharacteristic
278C2×(C2×D47)⋊C4C2311yescharacteristic
279C2×(C2×D47)⋊C4C2311yescharacteristic
280C2×(C2×D47)⋊C4C2311yescharacteristic
281C2×(C2×D47)⋊C4C2311yescharacteristic
282C2×(C2×D47)⋊C4C2311yescharacteristic
283C22⋊C4×D47—24no—
284C22⋊C4×D47—42no—
285C22⋊C4×D47—42no—
286C2×C4×Dic47C2311yescharacteristic
287C2×C4×Dic47C2311yescharacteristic
288C2×C4×Dic47C2311yescharacteristic
289C2×C4×Dic47C2311yescharacteristic
290C2×C4×Dic47C2311yescharacteristic
291C2×C4×Dic47C2311yescharacteristic
292C2×C4×Dic47C2311yescharacteristic
293C42×D47—42no—
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
328C22×D4×C47C2311yescharacteristic
329C22×D4×C47C2311yescharacteristic
330C22×D4×C47C2311yescharacteristic
331C23×C4×C47C2311yescharacteristic
332C2×C4⋊C4×C47C2311yescharacteristic
333C2×C4⋊C4×C47C2311yescharacteristic
334C2×C4⋊C4×C47C2311yescharacteristic
335C2×C4⋊C4×C47C2311yescharacteristic
336C2×C4⋊C4×C47C2311yescharacteristic
337C2×C22⋊C4×C47C2311yescharacteristic
338C2×C22⋊C4×C47C2311yescharacteristic
339C2×C22⋊C4×C47C2311yescharacteristic
340C2×C22⋊C4×C47C2311yescharacteristic
341C2×C22⋊C4×C47C2311yescharacteristic
342C2×C22⋊C4×C47C2311yescharacteristic
343C2×C22⋊C4×C47C2311yescharacteristic
344C2×C22⋊C4×C47C2311yescharacteristic
345C2×C22⋊C4×C47C2311yescharacteristic
346C2×C22⋊C4×C47C2311yescharacteristic
347C2×C22⋊C4×C47C2311yescharacteristic
348C2×C22⋊C4×C47C2311yescharacteristic
349C2×C22⋊C4×C47C2311yescharacteristic
350C2×C22⋊C4×C47C2311yescharacteristic
351C2×C42×C47C2311yescharacteristic
352C2×C42×C47C2311yescharacteristic
353#95×C47C2311yescharacteristic
354#95×C47C2311yescharacteristic
355#95×C47C2311yescharacteristic
356#95×C47C2311yescharacteristic
357#95×C47C2311yescharacteristic
358#95×C47C2311yescharacteristic
359#95×C47C2311yescharacteristic
360#95×C47C2311yescharacteristic
361#95×C47C2311yescharacteristic
362#95×C47C2311yescharacteristic
363C24×C47C2411yescharacteristic
364C24×C47C2411yescharacteristic
365C24×C47C2411yescharacteristic
366C23×D47—22no—
367C23×D47—22no—
368C23×D47—22no—
369C23×D47—41no—
370C23×D47—41no—
371C23×D47—41no—
372C23×D47—41no—
373C23×D47C2411yescharacteristic
374C23×D47C2411yescharacteristic
375C23×D47C2411yescharacteristic
376C2×D4×C47—41no—
377C2×D4×C47—41no—
378C2×D4×C47—41no—
379C2×D4×C47—41no—
380C2×D4×C47—41no—
381C2×D4×C47—41no—
382C2×D4×C47—41no—
383C2×D4×C47—41no—
384C2×D4×C47—41no—
385C22×C4×C47—22no—
386C22×C4×C47—41no—
387C22×C4×C47—41no—
388C22×C4×C47C2411yescharacteristic
389C22×C4×C47C2411yescharacteristic
390C22×C4×C47C2411yescharacteristic
391C22×C4×C47C2411yescharacteristic
392C22×C4×C47C2411yescharacteristic
393C22×C4×C47C2411yescharacteristic
394C22×C4×C47C2411yescharacteristic
395C22×C4×C47C2411yescharacteristic
396C22×C4×C47C2411yescharacteristic
397C22×C4×C47C2411yescharacteristic
398C22×C4×C47C2411yescharacteristic
399C22×C4×C47C2411yescharacteristic
400C2×C22⋊D47—22no—
401C2×C22⋊D47—22no—
402C2×C22⋊D47—22no—
403C2×C22⋊D47—22no—
404C2×C22⋊D47—22no—
405C2×C22⋊D47—22no—
406C2×C22⋊D47—22no—
407C2×C22⋊D47—22no—
408C2×C22⋊D47—41no—
409C2×C22⋊D47—41no—
410C2×C22⋊D47—41no—
411C2×C22⋊D47—41no—
412C2×C22⋊D47—41no—
413C2×C22⋊D47—41no—
414C2×C22⋊D47—41no—
415C2×C22⋊D47—41no—
416C2×C22⋊D47—41no—
417C2×C22⋊D47—41no—
418C2×C22⋊D47—41no—
419C2×C22⋊D47—41no—
420C2×C22⋊D47—41no—
421C22×Dic47—41no—
422C22×Dic47—41no—
423C22×Dic47—41no—
424C22×Dic47C2411yescharacteristic
425C22×Dic47C2411yescharacteristic
426C22×Dic47C2411yescharacteristic
427C22×Dic47C2411yescharacteristic
428C22×Dic47C2411yescharacteristic
429C22×Dic47C2411yescharacteristic
430C22×Dic47C2411yescharacteristic
431C22×Dic47C2411yescharacteristic
432C22×Dic47C2411yescharacteristic
433C22×Dic47C2411yescharacteristic
434C22×Dic47C2411yescharacteristic
435C22×Dic47C2411yescharacteristic
436C22×Dic47C2411yescharacteristic
437#10625350—416no—
438C2×D188—22no—
439C2×D188—22no—
440C2×D188—22no—
441C2×D188—41no—
442C2×D188—41no—
443C2×D188—41no—
444C2×C4×D47—22no—
445C2×C4×D47—22no—
446C2×C4×D47—22no—
447C2×C4×D47—22no—
448C2×C4×D47—22no—
449C2×C4×D47—22no—
450C2×C4×D47—22no—
451C2×C4×D47—22no—
452C2×C4×D47—22no—
453C2×C4×D47—41no—
454C2×C4×D47—41no—
455C2×C4×D47—41no—
456C2×C4×D47—41no—
457C2×C4×D47—41no—
458C2×C4×D47—41no—
459C2×C4×D47—41no—
460C2×C4×D47—41no—
461C2×C4×D47—41no—
462C2×C4×D47—41no—
463C2×C4×D47—41no—
464C2×C4×D47#4114yes—
465C2×Dic94—22no—
466C2×Dic94—22no—
467C2×Dic94—41no—
468C2×Dic94—41no—
469C2×Dic94—41no—
470C2×Dic94—41no—
471C4⋊C4×C47—41no—
472C4⋊C4×C47—41no—
473C4⋊C4×C47—41no—
474C4⋊C4×C47—41no—
475C4⋊C4×C47—41no—
476C22⋊C4×C47—22no—
477C22⋊C4×C47—22no—
478C22⋊C4×C47—41no—
479C22⋊C4×C47—41no—
480C22⋊C4×C47—41no—
481C22⋊C4×C47—41no—
482C22⋊C4×C47—41no—
483C22⋊C4×C47—41no—
484C22⋊C4×C47—41no—
485C22⋊C4×C47—41no—
486C22⋊C4×C47—41no—
487C22⋊C4×C47—41no—
488C22⋊C4×C47—41no—
489C22⋊C4×C47—41no—
490C42×C47—41no—
491C42×C47—41no—
492C22⋊Dic47—22no—
493C22⋊Dic47—22no—
494C22⋊Dic47—22no—
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⋊Dic47—41no—
505C22⋊Dic47—41no—
506C22⋊Dic47—41no—
507(C2×D47)⋊C4—22no—
508(C2×D47)⋊C4—22no—
509(C2×D47)⋊C4—22no—
510(C2×D47)⋊C4—22no—
511(C2×D47)⋊C4—22no—
512(C2×D47)⋊C4—22no—
513(C2×D47)⋊C4—22no—
514(C2×D47)⋊C4—22no—
515(C2×D47)⋊C4—41no—
516(C2×D47)⋊C4—41no—
517(C2×D47)⋊C4—41no—
518(C2×D47)⋊C4—41no—
519(C2×D47)⋊C4—41no—
520(C2×D47)⋊C4—41no—
521(C2×D47)⋊C4—41no—
522(C2×D47)⋊C4—41no—
523(C2×D47)⋊C4—41no—
524(C2×D47)⋊C4—41no—
525(C2×D47)⋊C4—41no—
526(C2×D47)⋊C4—41no—
527(C2×D47)⋊C4—41no—
528(C2×D47)⋊C4—41no—
529(C2×D47)⋊C4—41no—
530(C2×D47)⋊C4—41no—
531(C2×D47)⋊C4—41no—
532C4⋊Dic47—22no—
533C4⋊Dic47—41no—
534C4⋊Dic47—41no—
535C4⋊Dic47—41no—
536C4⋊Dic47—41no—
537C4⋊Dic47—41no—
538Dic47⋊C4—22no—
539Dic47⋊C4—22no—
540Dic47⋊C4—41no—
541Dic47⋊C4—41no—
542Dic47⋊C4—41no—
543Dic47⋊C4—41no—
544Dic47⋊C4—41no—
545Dic47⋊C4—41no—
546Dic47⋊C4—41no—
547Dic47⋊C4—41no—
548Dic47⋊C4—41no—
549Dic47⋊C4—41no—
550Dic47⋊C4—41no—
551C4×Dic47—22no—
552C4×Dic47—22no—
553C4×Dic47—41no—
554C4×Dic47—41no—
555C4×Dic47—41no—
556C4×Dic47—41no—
557C4×Dic47—41no—
558C23×C47—21no—
559C23×C47—21no—
560C23×C47—21no—
561C23×C47—21no—
562C23×C47—21no—
563C23×C47—21no—
564C23×C47—21no—
565C23×C47—21no—
566C23×C47—21no—
567C23×C47—21no—
568C23×C47—21no—
569C23×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×C47C2511yescharacteristic
580C22×D47—21no—
581C22×D47—21no—
582C22×D47—21no—
583C22×D47—21no—
584C22×D47—21no—
585C22×D47—21no—
586C22×D47—21no—
587C22×D47—21no—
588C22×D47—21no—
589C22×D47—21no—
590C22×D47—21no—
591C22×D47—21no—
592C22×D47—21no—
593C22×D47—21no—
594C22×D47—21no—
595C22×D47—21no—
596C22×D47—21no—
597C22×D47—21no—
598C22×D47—44no—
599C22×D47—44no—
600C22×D47—44no—
601C22×D47—82no—
602C22×D47—82no—
603C22×D47—82no—
604C22×D47—82no—
605C22×D47C2×#4112yes—
606C22×D47H(5,𝔽2)12yes—
607C22×D47H(5,𝔽2)12yes—
608D4×C47—82no—
609D4×C47—82no—
610D4×C47—82no—
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—21no—
643C2×C4×C47—21no—
644C2×C4×C47—21no—
645C2×C4×C47—21no—
646C2×C4×C47—44no—
647C2×C4×C47C2×#4112yes—
648C22⋊D47—44no—
649C22⋊D47—44no—
650C22⋊D47—44no—
651C22⋊D47—82no—
652C22⋊D47—82no—
653C22⋊D47—82no—
654C22⋊D47—82no—
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—21no—
691C2×Dic47—21no—
692C2×Dic47—82no—
693C2×Dic47C2×#4112yes—
694C2×Dic47H(5,𝔽2)12yes—
695D188—44no—
696D188—82no—
697C4×D47—28no—
698C4×D47—44no—
699C4×D47—44no—
700C4×D47—44no—
701C4×D47—44no—
702C4×D47—82no—
703C4×D47—82no—
704Dic94—44no—
705Dic94—82no—
706#36795—471nomaximal, Sylow
707C22×C47—41no—
708C22×C47—41no—
709C22×C47—41no—
710C22×C47—41no—
711C22×C47—41no—
712C22×C47—41no—
713C22×C47—41no—
714C22×C47—41no—
715C22×C47—41no—
716C22×C47—41no—
717C22×C47—41no—
718C22×C47—41no—
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×C47C22×#4111yescharacteristic
729C22×C47C2×H(5,𝔽2)11yescharacteristic
730C22×C47C2×H(5,𝔽2)11yescharacteristic
731C22×C47C2×H(5,𝔽2)11yescharacteristic
732C22×C47#58511yescharacteristic
733C22×C47#58511yescharacteristic
734C22×C47#58511yescharacteristic
735C2×D47—22no—
736C2×D47—22no—
737C2×D47—22no—
738C2×D47—22no—
739C2×D47—22no—
740C2×D47—22no—
741C2×D47—41no—
742C2×D47—41no—
743C2×D47—41no—
744C2×D47—41no—
745C2×D47—41no—
746C2×D47—41no—
747C2×D47—41no—
748C2×D47—41no—
749C2×D47—41no—
750C2×D47—41no—
751C2×D47—41no—
752C2×D47—41no—
753C2×D47—41no—
754C2×D47—41no—
755C2×D47—88no—
756C2×D47#53814yes—
757C4×C47—22no—
758C4×C47—41no—
759C4×C47—41no—
760C4×C47—41no—
761C4×C47—41no—
762C4×C47—41no—
763C4×C47—41no—
764C4×C47—41no—
765C4×C47—41no—
766C4×C47—41no—
767C4×C47—41no—
768C4×C47—41no—
769Dic47—22no—
770Dic47—22no—
771Dic47—41no—
772Dic47—41no—
773Dic47—41no—
774Dic47—41no—
775Dic47—41no—
776Dic47—41no—
777Dic47—41no—
778Dic47—41no—
779Dic47—41no—
780Dic47—41no—
781Dic47—41no—
782#2852—471no—
783#2850—471no—
784#2808—471no—
785#2803—471no—
786#2803—471no—
787#2786—471no—
788#2781—471no—
789#2779—471no—
790#2778—471no—
791#2775—471no—
792#2759—471no—
793#2756—471no—
794#2756D4711yescharacteristic, complemented
795#2751—471no—
796#2733—471no—
797#2715—471no—
798#2714—471no—
799#2686—471no—
800#2622—471no—
801#2617—471no—
802#2510—471no—
803#2472—471no—
804#2444—471no—
805#2438—471no—
806#2430—471no—
807#2424—471no—
808#2411—471no—
809#2404—471no—
810#2322—471no—
811#2311—471no—
812C2×#388—471no—
813C2×C47—81no—
814C2×C47—81no—
815C2×C47—81no—
816C2×C47C2×#53811yescharacteristic
817C2×C47#349311yescharacteristic
818C2×C47#350611yescharacteristic
819C2×C47#353411yescharacteristic
820C2×C47#354211yescharacteristic
821C2×C47#354511yescharacteristic
822C2×C47#356011yescharacteristic
823D47—24no—
824D47—81no—
825D47—81no—
826C22×#41—471no—
827C2×#126—471no—
828C2×#124—471no—
829C2×#124—471no—
830C2×#123—471no—
831C2×C22⋊Q8—471no—
832C2×#121—471no—
833C2×#121—471no—
834C2×#121—471no—
835C2×#120—471no—
836C2×#120—471no—
837C2×#120—471no—
838C2×C4×D4—471no—
839C2×#117—471no—
840C22×C4⋊C4—471no—
841C22×C22⋊C4—471no—
842C22×C22⋊C4—471no—
843C22×C22⋊C4—471no—
844C22×C42—471no—
845#401—471no—
846#400—471no—
847#400—471no—
848#400—471no—
849#398—471no—
850#398C2×D4711yescharacteristic, complemented
851#397—471no—
852#397—471no—
853#397—471no—
854#397—471no—
855#397—471no—
856#397—471no—
857#397—471no—
858#397—471no—
859#397—471no—
860#397—471no—
861#397C2×D4711yescharacteristic
862#396—471no—
863#396—471no—
864#396—471no—
865#395—471no—
866#395—471no—
867#394—471no—
868#394—471no—
869#394—471no—
870#394—471no—
871#394—471no—
872#394—471no—
873#394—471no—
874#394—471no—
875#394—471no—
876#394—471no—
877#394—471no—
878#394—471no—
879#394—471no—
880#394C2×D4711yescharacteristic
881#394C2×D4711yescharacteristic
882#394C2×D4711yescharacteristic, complemented
883#393—471no—
884#393—471no—
885#393—471no—
886#393—471no—
887#392—471no—
888#392—471no—
889#392—471no—
890#392—471no—
891#392—471no—
892#392C2×D4711yescharacteristic
893#391—471no—
894#391—471no—
895#391—471no—
896#391—471no—
897#390—471no—
898#390—471no—
899#390—471no—
900#390—471no—
901#390—471no—
902#390—471no—
903#390C2×D4711yescharacteristic
904#389—471no—
905#389—471no—
906#389—471no—
907#388—471no—
908#388—471no—
909#388—471no—
910#388—471no—
911#388—471no—
912#388—471no—
913#388—471no—
914#388—471no—
915#388—471no—
916#388—471no—
917#388—471no—
918#388—471no—
919#388—471no—
920#388—471no—
921#388—471no—
922#388—471no—
923#388—471no—
924#388—471no—
925#388—471no—
926#388—471no—
927#388—471no—
928#388C2×D4711yescharacteristic
929#388C2×D4711yescharacteristic, complemented
930#388C2×D4711yescharacteristic, complemented
931#388C2×D4711yescharacteristic, complemented
932#387—471no—
933#387—471no—
934#387—471no—
935#387—471no—
936#387—471no—
937#387—471no—
938#387—471no—
939#387—471no—
940#387—471no—
941#386—471no—
942#386—471no—
943#386—471no—
944#386—471no—
945#386—471no—
946#386—471no—
947#386—471no—
948#386—471no—
949#386—471no—
950#386—471no—
951#386—471no—
952#386—471no—
953#386—471no—
954#386—471no—
955#386—471no—
956#386—471no—
957#386C2×D4711yescharacteristic
958#386C2×D4711yescharacteristic, complemented
959#385—471no—
960#385—471no—
961#385—471no—
962#385—471no—
963#385—471no—
964#385—471no—
965#385—471no—
966#385—471no—
967#383—471no—
968#383C2×D4711yescharacteristic, complemented
969#382—471no—
970#381—471no—
971#381—471no—
972#380—471no—
973#380—471no—
974#380—471no—
975#380—471no—
976#380C2×D4711yescharacteristic, complemented
977#379—471no—
978C4×C22⋊C4—471no—
979C2×#95—471no—
980C2×#95—471no—
981C47#3679511yescharacteristic, complemented, Sylow
982C25—471no—
983C2×#41—944no—
984C2×#41—1882no—
985C2×#41—1882no—
986C22×Q8—471no—
987C22×Q8—471no—
988C22×D4—471no—
989C22×D4—471no—
990C22×D4—471no—
991C22×D4—471no—
992C22×D4—471no—
993C22×D4—471no—
994C22×D4—471no—
995C22×D4—471no—
996C22×D4—471no—
997C22×D4C22×D4711yescharacteristic
998C22×D4C22×D4711yescharacteristic
999C22×D4C22×D4711yescharacteristic
1000C23×C4—471no—
1001C23×C4—471no—
1002C23×C4—471no—
1003C23×C4—471no—
1004C23×C4—471no—
1005C23×C4—471no—
1006C23×C4—471no—
1007C23×C4—471no—
1008C23×C4C22×D4711yescharacteristic
1009#126—1882no—
1010#124—1882no—
1011#124—1882no—
1012#123—944no—
1013C22⋊Q8—1882no—
1014#121—1882no—
1015#121—1882no—
1016#121—1882no—
1017#120—1882no—
1018#120—1882no—
1019#120—1882no—
1020C4×D4—1882no—
1021#117—1882no—
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—1882no—
1042C2×C4⋊C4C22×D4711yescharacteristic
1043C2×C4⋊C4C22×D4711yescharacteristic
1044C2×C4⋊C4C22×D4711yescharacteristic
1045C2×C4⋊C4C22×D4711yescharacteristic
1046C2×C4⋊C4C22×D4711yescharacteristic
1047C2×C22⋊C4—471no—
1048C2×C22⋊C4—471no—
1049C2×C22⋊C4—471no—
1050C2×C22⋊C4—471no—
1051C2×C22⋊C4—471no—
1052C2×C22⋊C4—471no—
1053C2×C22⋊C4—471no—
1054C2×C22⋊C4—471no—
1055C2×C22⋊C4—471no—
1056C2×C22⋊C4—471no—
1057C2×C22⋊C4—471no—
1058C2×C22⋊C4—471no—
1059C2×C22⋊C4—471no—
1060C2×C22⋊C4—471no—
1061C2×C22⋊C4—471no—
1062C2×C22⋊C4—471no—
1063C2×C22⋊C4—471no—
1064C2×C22⋊C4—471no—
1065C2×C22⋊C4—471no—
1066C2×C22⋊C4—471no—
1067C2×C22⋊C4—471no—
1068C2×C22⋊C4—471no—
1069C2×C22⋊C4—471no—
1070C2×C22⋊C4—471no—
1071C2×C22⋊C4—471no—
1072C2×C22⋊C4—471no—
1073C2×C22⋊C4—471no—
1074C2×C22⋊C4—471no—
1075C2×C22⋊C4—471no—
1076C2×C22⋊C4—471no—
1077C2×C22⋊C4—471no—
1078C2×C22⋊C4—471no—
1079C2×C22⋊C4—471no—
1080C2×C22⋊C4—471no—
1081C2×C22⋊C4—471no—
1082C2×C22⋊C4—471no—
1083C2×C22⋊C4—471no—
1084C2×C22⋊C4—471no—
1085C2×C22⋊C4—471no—
1086C2×C22⋊C4—471no—
1087C2×C22⋊C4—944no—
1088C2×C22⋊C4—1882no—
1089C2×C22⋊C4—1882no—
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×C42—471no—
1105C2×C42—471no—
1106C2×C42—471no—
1107C2×C42—471no—
1108C2×C42—471no—
1109C2×C42—471no—
1110C2×C42—471no—
1111C2×C42—1882no—
1112C2×C42C22×D4711yescharacteristic
1113C2×C42C22×D4711yescharacteristic
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#95C22×D4711yescharacteristic
1149#95C22×D4711yescharacteristic
1150#95C22×D4711yescharacteristic
1151#95C22×D4711yescharacteristic
1152#95C22×D4711yescharacteristic
1153#95C22×D4711yescharacteristic
1154#95C22×D4711yescharacteristic
1155#95C22×D4711yescharacteristic
1156#95C22×D4711yescharacteristic
1157#95C22×D4711yescharacteristic
1158C24—471no—
1159C24—471no—
1160C24—471no—
1161C24—942no—
1162C24—942no—
1163C24—942no—
1164C24—1881no—
1165C24—1881no—
1166C24—1881no—
1167C24—1881no—
1168C24C23×D4711yescharacteristic
1169C24C23×D4711yescharacteristic
1170C24C23×D4711yescharacteristic
1171#41—18816no—
1172C2×Q8—942no—
1173C2×Q8—942no—
1174C2×Q8—1881no—
1175C2×Q8—1881no—
1176C2×Q8—1881no—
1177C2×Q8—1881no—
1178C2×D4—41no—
1179C2×D4—41no—
1180C2×D4—41no—
1181C2×D4—41no—
1182C2×D4—41no—
1183C2×D4—41no—
1184C2×D4—41no—
1185C2×D4—41no—
1186C2×D4—41no—
1187C2×D4—942no—
1188C2×D4—942no—
1189C2×D4—942no—
1190C2×D4—942no—
1191C2×D4—942no—
1192C2×D4—942no—
1193C2×D4—942no—
1194C2×D4—942no—
1195C2×D4—942no—
1196C2×D4—942no—
1197C2×D4—942no—
1198C2×D4—1881no—
1199C2×D4—1881no—
1200C2×D4—1881no—
1201C2×D4—1881no—
1202C2×D4—1881no—
1203C2×D4—1881no—
1204C2×D4—1881no—
1205C2×D4—1881no—
1206C2×D4—1881no—
1207C2×D4—1881no—
1208C2×D4—1881no—
1209C2×D4—1881no—
1210C2×D4—1881no—
1211C2×D4—1881no—
1212C2×D4—1881no—
1213C2×D4—1881no—
1214C22×C4—22no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—471no—
1218C22×C4—471no—
1219C22×C4—474no—
1220C22×C4—471no—
1221C22×C4—471no—
1222C22×C4—471no—
1223C22×C4—471no—
1224C22×C4—471no—
1225C22×C4—471no—
1226C22×C4—471no—
1227C22×C4—471no—
1228C22×C4—471no—
1229C22×C4—471no—
1230C22×C4—471no—
1231C22×C4—942no—
1232C22×C4—942no—
1233C22×C4—942no—
1234C22×C4—942no—
1235C22×C4—942no—
1236C22×C4—942no—
1237C22×C4—942no—
1238C22×C4—942no—
1239C22×C4—942no—
1240C22×C4—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—1881no—
1250C22×C4—1881no—
1251C22×C4—1881no—
1252C22×C4—1881no—
1253C22×C4—1881no—
1254C22×C4C23×D4711yescharacteristic
1255C22×C4C23×D4711yescharacteristic
1256C22×C4C23×D4711yescharacteristic
1257C22×C4C23×D4711yescharacteristic
1258C22×C4C23×D4711yescharacteristic
1259C22×C4C23×D4711yescharacteristic
1260C22×C4C23×D4711yescharacteristic
1261C22×C4C23×D4711yescharacteristic
1262C22×C4C23×D4711yescharacteristic
1263C22×C4C23×D4711yescharacteristic
1264C22×C4C23×D4711yescharacteristic
1265C22×C4C23×D4711yescharacteristic
1266C4⋊C4—41no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—942no—
1272C4⋊C4—942no—
1273C4⋊C4—942no—
1274C4⋊C4—1881no—
1275C4⋊C4—1881no—
1276C4⋊C4—1881no—
1277C4⋊C4—1881no—
1278C4⋊C4—1881no—
1279C4⋊C4—1881no—
1280C4⋊C4—1881no—
1281C4⋊C4—1881no—
1282C4⋊C4—1881no—
1283C4⋊C4—1881no—
1284C4⋊C4—1881no—
1285C4⋊C4—1881no—
1286C4⋊C4—1881no—
1287C4⋊C4—1881no—
1288C4⋊C4—1881no—
1289C4⋊C4—1881no—
1290C22⋊C4—22no—
1291C22⋊C4—22no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—942no—
1305C22⋊C4—942no—
1306C22⋊C4—942no—
1307C22⋊C4—942no—
1308C22⋊C4—942no—
1309C22⋊C4—942no—
1310C22⋊C4—942no—
1311C22⋊C4—942no—
1312C22⋊C4—942no—
1313C22⋊C4—942no—
1314C22⋊C4—942no—
1315C22⋊C4—942no—
1316C22⋊C4—1881no—
1317C22⋊C4—1881no—
1318C22⋊C4—1881no—
1319C22⋊C4—1881no—
1320C22⋊C4—1881no—
1321C22⋊C4—1881no—
1322C22⋊C4—1881no—
1323C22⋊C4—1881no—
1324C22⋊C4—1881no—
1325C22⋊C4—1881no—
1326C22⋊C4—1881no—
1327C22⋊C4—1881no—
1328C22⋊C4—1881no—
1329C22⋊C4—1881no—
1330C22⋊C4—1881no—
1331C22⋊C4—1881no—
1332C22⋊C4—1881no—
1333C22⋊C4—1881no—
1334C22⋊C4—1881no—
1335C22⋊C4—1881no—
1336C22⋊C4—1881no—
1337C22⋊C4—1881no—
1338C22⋊C4—1881no—
1339C22⋊C4—1881no—
1340C22⋊C4—1881no—
1341C22⋊C4—1881no—
1342C22⋊C4—1881no—
1343C22⋊C4—1881no—
1344C42—41no—
1345C42—41no—
1346C42—942no—
1347C42—942no—
1348C42—1881no—
1349C42—1881no—
1350C42—1881no—
1351C42—1881no—
1352C42—1881no—
1353C23—21no—
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—21no—
1374C23—472no—
1375C23—472no—
1376C23—472no—
1377C23—941no—
1378C23—941no—
1379C23—941no—
1380C23—941no—
1381C23—941no—
1382C23—941no—
1383C23—941no—
1384C23—941no—
1385C23—941no—
1386C23—941no—
1387C23—941no—
1388C23—941no—
1389C23—941no—
1390C23—941no—
1391C23—941no—
1392C23—941no—
1393C23—941no—
1394C23—941no—
1395C23—3762no—
1396C23—3762no—
1397C23—3762no—
1398C23—3762no—
1399C23—1884no—
1400C23—1884no—
1401C23—1884no—
1402C23C24×D4711yescharacteristic
1403Q8—3762no—
1404Q8—1884no—
1405D4—82no—
1406D4—82no—
1407D4—82no—
1408D4—3762no—
1409D4—3762no—
1410D4—3762no—
1411D4—3762no—
1412D4—3762no—
1413D4—1884no—
1414D4—1884no—
1415D4—1884no—
1416D4—1884no—
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—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—44no—
1453C2×C4—472no—
1454C2×C4—472no—
1455C2×C4—948no—
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—941no—
1484C2×C4—941no—
1485C2×C4—941no—
1486C2×C4—941no—
1487C2×C4—941no—
1488C2×C4—941no—
1489C2×C4—941no—
1490C2×C4—941no—
1491C2×C4—941no—
1492C2×C4—941no—
1493C2×C4—3762no—
1494C2×C4—3762no—
1495C2×C4—3762no—
1496C2×C4—1884no—
1497C2×C4—1884no—
1498C2×C4—1884no—
1499C2×C4—1884no—
1500C2×C4#41×D4712yes—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
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—41no—
1521C22—41no—
1522C22—474no—
1523C22—942no—
1524C22—942no—
1525C22—942no—
1526C22—942no—
1527C22—942no—
1528C22—942no—
1529C22—3768no—
1530C22—1881no—
1531C22—1881no—
1532C22—1881no—
1533C22—1881no—
1534C22—1881no—
1535C22—1881no—
1536C22—1881no—
1537C22—1881no—
1538C22—1881no—
1539C22—1881no—
1540C22—1881no—
1541C22—1881no—
1542C22—1881no—
1543C22—1881no—
1544C22C2×#41×D4711yescharacteristic
1545C22H(5,𝔽2)×D4711yescharacteristic
1546C22H(5,𝔽2)×D4711yescharacteristic
1547C22H(5,𝔽2)×D4711yescharacteristic
1548C22#1568995811yescharacteristic
1549C22#1568995911yescharacteristic
1550C22#1568995911yescharacteristic
1551C4—22no—
1552C4—41no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—942no—
1564C4—942no—
1565C4—1881no—
1566C4—1881no—
1567C4—1881no—
1568C4—1881no—
1569C4—1881no—
1570C4—1881no—
1571C4—1881no—
1572C4—1881no—
1573C4—1881no—
1574C4—1881no—
1575C4—1881no—
1576C2—81no—
1577C2—81no—
1578C2—81no—
1579C2—944no—
1580C2—3761no—
1581C2—3761no—
1582C2#538×D4711yescharacteristic
1583C2#2025709911yescharacteristic
1584C2#2025723411yescharacteristic
1585C2#2025756911yescharacteristic
1586C2#2025769511yescharacteristic
1587C2#2025773911yescharacteristic
1588C2#2025793511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2756C2
hypercenter#2756D47
hypocenterC47#36795
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2756

Complements

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

NH ≅ G/Ntype
1. #20251702C2semidirect
2. #20251686C2semidirect
3. #20251367C2semidirect
4. #20251322C2semidirect
5. #20251319C2semidirect
6. #20251110C2semidirect
7. #20251054C2semidirect
8. #20251019C2semidirect
9. #20251006C2semidirect
10. #20250957C2semidirect
11. #20250748C2semidirect
12. #20250707C2semidirect
13. #20250639C2semidirect
14. #20250411C2semidirect
15. #20250196C2semidirect
16. #20250177C2semidirect
17. #20249796C2semidirect
18. #20249162C2semidirect
19. #20249121C2semidirect
20. #20247955C2semidirect
21. #20247520C2semidirect
22. #20247131C2semidirect
23. #20247059C2semidirect
24. #20246995C2semidirect
25. #20246925C2semidirect
26. #20246766C2semidirect
27. #20246705C2semidirect
28. #20246058C2semidirect
29. #20245977C2semidirect
30. #388×D47C2semidirect
31. C47×#2756C2semidirect
33. C2×#13094017C22semidirect
35. C2×#13094010C22semidirect
51. C47⋊#401C22semidirect
52. #15689065C22semidirect
53. #15689065C22semidirect
54. #15689064C22semidirect
55. #15689057C22semidirect
57. #15689052C22semidirect
59. #15689051C22semidirect
60. #15689051C22semidirect
63. #15689050C22semidirect
69. #15689044C22semidirect
70. #15689043C22semidirect
75. #15689039C22semidirect
87. #15689035C22semidirect
92. #15689031C22semidirect
93. #15689028C22semidirect
94. #15689027C22semidirect
95. #15689027C22semidirect
96. #15689027C22semidirect
100. #15689023C22semidirect
101. #15689023C22semidirect
102. #15689023C22semidirect
103. #15689021C22semidirect
104. #15689018C22semidirect
105. #15689018C22semidirect
107. #15689017C22semidirect
108. #15689017C22semidirect
109. #15689017C22semidirect
110. #15689017C22semidirect
113. #15689016C22semidirect
118. #15689014C22semidirect
119. #15689014C22semidirect
121. #15689013C22semidirect
123. #15689012C22semidirect
127. #15689010C22semidirect
128. #15689010C22semidirect
129. #15689009C22semidirect
130. #15689009C22semidirect
131. #15689007C22semidirect
132. #15689006C22semidirect
133. #15689006C22semidirect
134. #15689005C22semidirect
135. #15689004C22semidirect
136. #15689003C22semidirect
151. #15688999C22semidirect
152. #15688998C22semidirect
155. #15688997C22semidirect
156. #15688996C22semidirect
157. #15688995C22semidirect
160. #15688990C22semidirect
161. #15688987C22semidirect
163. #15688984C22semidirect
164. #15688983C22semidirect
166. #15688980C22semidirect
167. #15688980C22semidirect
172. C47×#398C22semidirect
176. C47×#394C22semidirect
180. C47×#388C22semidirect
181. C47×#388C22semidirect
182. C47×#388C22semidirect
184. C47×#386C22semidirect
185. C47×#383C22semidirect
186. C47×#380C22semidirect
794. #2756D47semidirect
850. #398C2×D47semidirect
882. #394C2×D47semidirect
929. #388C2×D47semidirect
930. #388C2×D47semidirect
931. #388C2×D47semidirect
958. #386C2×D47semidirect
968. #383C2×D47semidirect
976. #380C2×D47semidirect
981. C47#36795semidirect

Maximal subgroups

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

subgroupindex
#202517022
#202516862
#202513672
#202513222
#202513192
#202511102
#202510542
#202510192
#202510062
#202509572
#202507482
#202507072
#202506392
#202504112
#202501962
#202501772
#202497962
#202491622
#202491212
#202479552
#202475202
#202471312
#202470592
#202469952
#202469252
#202467662
#202467052
#202460582
#202459772
#388×D472
C47×#27562
#3679547