Finite Group Databasebeta

← #26389560

Subgroups — #26389560

Order 12032.

2176 conjugacy classes of subgroups.

The subgroup lattice has 1624 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20251757C211yesmaximal, characteristic, complemented
2#20251753C211yesmaximal, characteristic, complemented
3#20251715C211yesmaximal, characteristic, complemented
4#20251686C211yesmaximal, characteristic, complemented
5#20249428C211yesmaximal, characteristic, complemented
6#20249426C211yesmaximal, characteristic, complemented
7#20249383C211yesmaximal, characteristic, complemented
8#20249381C211yesmaximal, characteristic, complemented
9#20248883C211yesmaximal, characteristic, complemented
10#20248882C211yesmaximal, characteristic, complemented
11#20248454C211yesmaximal, characteristic, complemented
12#20248446C211yesmaximal, characteristic, complemented
13#20247978C211yesmaximal, characteristic, complemented
14#20247735C211yesmaximal, characteristic, complemented
15#20247634C211yesmaximal, characteristic, complemented
16#20247179C211yesmaximal, characteristic, complemented
17#20247111C211yesmaximal, characteristic, complemented
18#20247037C211yesmaximal, characteristic, complemented
19#20246949C211yesmaximal, characteristic, complemented
20#20246852C211yesmaximal, characteristic, complemented
21#20246850C211yesmaximal, characteristic, complemented
22#20246838C211yesmaximal, characteristic, complemented
23#20246743C211yesmaximal, characteristic
24#20246045C211yesmaximal, characteristic, complemented
25#20246043C211yesmaximal, characteristic, complemented
26#20245985C211yesmaximal, characteristic, complemented
27#20245984C211yesmaximal, characteristic, complemented
28#20245920C211yesmaximal, characteristic, complemented
29C2×#15689023C211yesmaximal, characteristic, complemented
30C4×(C22⋊D47)⋊C4C211yesmaximal, characteristic, complemented
31C47×#2480C211yesmaximal, characteristic, complemented
32C23×C22⋊D47C2211yescharacteristic
33C2×#13094018C2211yescharacteristic, complemented
34C2×#13094014C2211yescharacteristic, complemented
35C2×#13094010C2211yescharacteristic
36C2×#13094010C2211yescharacteristic
37C2×#13094009C2211yescharacteristic, complemented
38C2×#13094006C2211yescharacteristic, complemented
39C2×#13094002C2211yescharacteristic, complemented
40C2×#13094001C2211yescharacteristic
41C2×#13093997C2211yescharacteristic
42C2×#13093997C2211yescharacteristic
43C2×#13093994C2211yescharacteristic
44C2×#13093993C2211yescharacteristic
45C2×#13093989C2211yescharacteristic, complemented
46C2×C4×C22⋊D47C2211yescharacteristic
47C2×(C22⋊D47)⋊C4C2211yescharacteristic
48C2×(C22⋊D47)⋊C4C2211yescharacteristic
49C22×Dic47⋊C4C2211yescharacteristic
50C22×C22⋊Dic47C2211yescharacteristic
51C22×(C2×D47)⋊C4C2211yescharacteristic
52C22×(C2×D47)⋊C4C2211yescharacteristic
53C22×C4×Dic47C2211yescharacteristic
54C2×C42×D47C2211yescharacteristic, complemented
55#15689064C2211yescharacteristic, complemented
56#15689063C2211yescharacteristic, complemented
57#15689059C2211yescharacteristic, complemented
58#15689058C2211yescharacteristic, complemented
59#15689057C2211yescharacteristic, complemented
60#15689056C2211yescharacteristic, complemented
61#15689054C2211yescharacteristic, complemented
62#15689054C2211yescharacteristic, complemented
63#15689052C2211yescharacteristic, complemented
64#15689052C2211yescharacteristic, complemented
65#15689052C2211yescharacteristic, complemented
66#15689052C2211yescharacteristic, complemented
67#15689051C2211yescharacteristic, complemented
68#15689047C2211yescharacteristic, complemented
69#15689047C2211yescharacteristic, complemented
70#15689045C2211yescharacteristic, complemented
71#15689041C2211yescharacteristic, complemented
72#15689040C2211yescharacteristic, complemented
73#15689039C2211yescharacteristic
74#15689039C2211yescharacteristic
75#15689039C2211yescharacteristic, complemented
76#15689038C2211yescharacteristic
77#15689038C2211yescharacteristic
78#15689038C2211yescharacteristic
79#15689038C2211yescharacteristic
80#15689038C2211yescharacteristic, complemented
81#15689032C2211yescharacteristic
82#15689032C2211yescharacteristic
83#15689027C2211yescharacteristic, complemented
84#15689027C2211yescharacteristic, complemented
85#15689024C2211yescharacteristic, complemented
86#15689024C2211yescharacteristic, complemented
87#15689023C2211yescharacteristic
88#15689023C2211yescharacteristic
89#15689023C2211yescharacteristic
90#15689023C2211yescharacteristic
91#15689023C2211yescharacteristic
92#15689023C2211yescharacteristic
93#15689023C2211yescharacteristic
94#15689023C2211yescharacteristic
95#15689023C2211yescharacteristic
96#15689023C2211yescharacteristic
97#15689023C2211yescharacteristic
98#15689023C2211yescharacteristic
99#15689023C2211yescharacteristic, complemented
100#15689023C2211yescharacteristic, complemented
101#15689020C2211yescharacteristic, complemented
102#15689018C2211yescharacteristic, complemented
103#15689018C2211yescharacteristic, complemented
104#15689018C2211yescharacteristic, complemented
105#15689017C2211yescharacteristic, complemented
106#15689017C2211yescharacteristic, complemented
107#15689017C2211yescharacteristic, complemented
108#15689017C2211yescharacteristic, complemented
109#15689017C2211yescharacteristic, complemented
110#15689017C2211yescharacteristic, complemented
111#15689017C2211yescharacteristic, complemented
112#15689016C2211yescharacteristic, complemented
113#15689015C2211yescharacteristic, complemented
114#15689015C2211yescharacteristic, complemented
115#15689015C2211yescharacteristic, complemented
116#15689015C2211yescharacteristic, complemented
117#15689014C2211yescharacteristic, complemented
118#15689014C2211yescharacteristic, complemented
119#15689014C2211yescharacteristic, complemented
120#15689013C2211yescharacteristic, complemented
121#15689013C2211yescharacteristic, complemented
122#15689013C2211yescharacteristic, complemented
123#15689013C2211yescharacteristic, complemented
124#15689013C2211yescharacteristic, complemented
125#15689013C2211yescharacteristic, complemented
126#15689013C2211yescharacteristic, complemented
127#15689012C2211yescharacteristic, complemented
128#15689012C2211yescharacteristic, complemented
129#15689012C2211yescharacteristic, complemented
130#15689011C2211yescharacteristic, complemented
131#15689011C2211yescharacteristic, complemented
132#15689011C2211yescharacteristic, complemented
133#15689011C2211yescharacteristic, complemented
134#15689011C2211yescharacteristic, complemented
135#15689011C2211yescharacteristic, complemented
136#15689008C2211yescharacteristic, complemented
137#15689004C2211yescharacteristic, complemented
138#15689002C2211yescharacteristic
139#15689001C2211yescharacteristic, complemented
140#15689001C2211yescharacteristic, complemented
141#15689001C2211yescharacteristic, complemented
142#15689000C2211yescharacteristic
143#15688999C2211yescharacteristic, complemented
144#15688999C2211yescharacteristic, complemented
145#15688999C2211yescharacteristic, complemented
146#15688996C2211yescharacteristic
147#15688995C2211yescharacteristic
148#15688987C2211yescharacteristic, complemented
149#15688983C2211yescharacteristic
150#15688982C2211yescharacteristic, complemented
151#15688981C2211yescharacteristic
152#15688981C2211yescharacteristic
153#15688981C2211yescharacteristic
154#15688979C2211yescharacteristic
155#15688978C2211yescharacteristic
156#15688978C2211yescharacteristic
157#15688978C2211yescharacteristic
158C4⋊C4×Dic47C2211yescharacteristic, complemented
159C4×Dic47⋊C4C2211yescharacteristic, complemented
160#15688974C2211yescharacteristic, complemented
161#15688974C2211yescharacteristic, complemented
162#15688974C2211yescharacteristic, complemented
163#15688974C2211yescharacteristic, complemented
164C22⋊C4×Dic47C2211yescharacteristic
165C22⋊C4×Dic47C2211yescharacteristic
166C22⋊C4×Dic47C2211yescharacteristic
167C22⋊C4×Dic47C2211yescharacteristic
168C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
169#15688970C2211yescharacteristic, complemented
170#15688970C2211yescharacteristic, complemented
171C42×Dic47C2211yescharacteristic, complemented
172C2×#126×C47C2211yescharacteristic, complemented
173C22×C22⋊C4×C47C2211yescharacteristic
174C47×#397C2211yescharacteristic, complemented
175C47×#397C2211yescharacteristic, complemented
176C47×#397C2211yescharacteristic, complemented
177C47×#396C2211yescharacteristic, complemented
178C47×#388C2211yescharacteristic, complemented
179C47×#388C2211yescharacteristic, complemented
180C47×#388C2211yescharacteristic, complemented
181C47×#385C2211yescharacteristic
182C47×#385C2211yescharacteristic
183C47×#380C2211yescharacteristic
184C47×#379C2211yescharacteristic
185C47×#379C2211yescharacteristic
186C4×C22⋊C4×C47C2211yescharacteristic
187C24×D47C2311yescharacteristic
188C22×Dic94C2311yescharacteristic
189C22×D188C2311yescharacteristic
190C22×D188C2311yescharacteristic
191C22×C22⋊D47—24no—
192C22×C22⋊D47—42no—
193C22×C22⋊D47—42no—
194C22×C22⋊D47C2311yescharacteristic
195C22×C22⋊D47C2311yescharacteristic
196C22×C22⋊D47C2311yescharacteristic
197C22×C22⋊D47C2311yescharacteristic
198C22×C22⋊D47C2311yescharacteristic
199C22×C22⋊D47C2311yescharacteristic
200C22×C22⋊D47C2311yescharacteristic
201C23×Dic47C2311yescharacteristic
202C23×Dic47C2311yescharacteristic
203C23×Dic47C2311yescharacteristic
204C22×C4×D47C2311yescharacteristic
205C22×C4×D47C2311yescharacteristic
206C22×C4×D47C2311yescharacteristic
207#13094018—42no—
208#13094014—42no—
209#13094010—42no—
210#13094010—42no—
211#13094009—42no—
212#13094006—42no—
213#13094002—42no—
214#13094001—24no—
215#13093997—42no—
216#13093997—42no—
217#13093994—24no—
218#13093993—24no—
219#13093989—42no—
220C4×C22⋊D47—24no—
221(C22⋊D47)⋊C4—24no—
222(C22⋊D47)⋊C4—24no—
223C2×C4⋊Dic47C2311yescharacteristic
224C2×C4⋊Dic47C2311yescharacteristic
225C2×C4⋊Dic47C2311yescharacteristic
226C2×Dic47⋊C4—42no—
227C2×Dic47⋊C4C2311yescharacteristic
228C2×Dic47⋊C4C2311yescharacteristic
229C2×Dic47⋊C4C2311yescharacteristic
230C2×Dic47⋊C4C2311yescharacteristic
231C2×Dic47⋊C4C2311yescharacteristic
232C2×Dic47⋊C4C2311yescharacteristic
233C2×Dic47⋊C4C2311yescharacteristic
234C2×Dic47⋊C4C2311yescharacteristic
235C2×Dic47⋊C4C2311yescharacteristic
236C2×Dic47⋊C4C2311yescharacteristic
237C2×Dic47⋊C4C2311yescharacteristic
238C2×Dic47⋊C4C2311yescharacteristic
239C2×Dic47⋊C4C2311yescharacteristic
240C2×Dic47⋊C4C2311yescharacteristic
241C2×Dic47⋊C4C2311yescharacteristic
242C2×Dic47⋊C4C2311yescharacteristic
243C2×Dic47⋊C4C2311yescharacteristic
244C2×Dic47⋊C4C2311yescharacteristic
245C2×Dic47⋊C4C2311yescharacteristic
246C2×C22⋊Dic47—24no—
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×(C2×D47)⋊C4—24no—
261C2×(C2×D47)⋊C4—42no—
262C2×(C2×D47)⋊C4C2311yescharacteristic
263C2×(C2×D47)⋊C4C2311yescharacteristic
264C2×(C2×D47)⋊C4C2311yescharacteristic
265C2×(C2×D47)⋊C4C2311yescharacteristic
266C2×(C2×D47)⋊C4C2311yescharacteristic
267C2×(C2×D47)⋊C4C2311yescharacteristic
268C2×(C2×D47)⋊C4C2311yescharacteristic
269C2×(C2×D47)⋊C4C2311yescharacteristic
270C2×(C2×D47)⋊C4C2311yescharacteristic
271C2×(C2×D47)⋊C4C2311yescharacteristic
272C2×(C2×D47)⋊C4C2311yescharacteristic
273C2×(C2×D47)⋊C4C2311yescharacteristic
274C2×(C2×D47)⋊C4C2311yescharacteristic
275C2×(C2×D47)⋊C4C2311yescharacteristic
276C2×(C2×D47)⋊C4C2311yescharacteristic
277C2×(C2×D47)⋊C4C2311yescharacteristic
278C2×(C2×D47)⋊C4C2311yescharacteristic
279C2×(C2×D47)⋊C4C2311yescharacteristic
280C2×(C2×D47)⋊C4C2311yescharacteristic
281C2×(C2×D47)⋊C4C2311yescharacteristic
282C2×(C2×D47)⋊C4C2311yescharacteristic
283C2×(C2×D47)⋊C4C2311yescharacteristic
284C2×(C2×D47)⋊C4C2311yescharacteristic
285C2×(C2×D47)⋊C4C2311yescharacteristic
286C2×(C2×D47)⋊C4C2311yescharacteristic
287C2×(C2×D47)⋊C4C2311yescharacteristic
288C2×(C2×D47)⋊C4C2311yescharacteristic
289C2×(C2×D47)⋊C4C2311yescharacteristic
290C2×(C2×D47)⋊C4C2311yescharacteristic
291C2×C4×Dic47—42no—
292C2×C4×Dic47C2311yescharacteristic
293C2×C4×Dic47C2311yescharacteristic
294C2×C4×Dic47C2311yescharacteristic
295C2×C4×Dic47C2311yescharacteristic
296C2×C4×Dic47C2311yescharacteristic
297C2×C4×Dic47C2311yescharacteristic
298C2×C4×Dic47C2311yescharacteristic
299C2×C4×Dic47C2311yescharacteristic
300C2×C4×Dic47C2311yescharacteristic
301C2×C4×Dic47C2311yescharacteristic
302C2×C4×Dic47C2311yescharacteristic
303C2×C4×Dic47C2311yescharacteristic
304C2×C4×Dic47C2311yescharacteristic
305C2×C4×Dic47C2311yescharacteristic
306C2×C4×Dic47C2311yescharacteristic
307C42×D47—42no—
308C47⋊#95C2311yescharacteristic
309C47⋊#95C2311yescharacteristic
310C47⋊#95C2311yescharacteristic
311C47⋊#95C2311yescharacteristic
312C47⋊#95C2311yescharacteristic
313C47⋊#95C2311yescharacteristic
314C47⋊#95C2311yescharacteristic
315C47⋊#95C2311yescharacteristic
316C47⋊#95C2311yescharacteristic
317C47⋊#95C2311yescharacteristic
318C47⋊#95C2311yescharacteristic
319C47⋊#95C2311yescharacteristic
320C47⋊#95C2311yescharacteristic
321C47⋊#95C2311yescharacteristic
322C47⋊#95C2311yescharacteristic
323C47⋊#95C2311yescharacteristic
324C47⋊#95C2311yescharacteristic
325C47⋊#95C2311yescharacteristic
326C47⋊#95C2311yescharacteristic
327C47⋊#95C2311yescharacteristic
328C47⋊#95C2311yescharacteristic
329C47⋊#95C2311yescharacteristic
330C47⋊#95C2311yescharacteristic
331C47⋊#95C2311yescharacteristic
332C25×C47C2311yescharacteristic
333C23×C4×C47C2311yescharacteristic
334C23×C4×C47C2311yescharacteristic
335#126×C47—42no—
336C2×C4⋊C4×C47C2311yescharacteristic
337C2×C4⋊C4×C47C2311yescharacteristic
338C2×C4⋊C4×C47C2311yescharacteristic
339C2×C4⋊C4×C47C2311yescharacteristic
340C2×C4⋊C4×C47C2311yescharacteristic
341C2×C4⋊C4×C47C2311yescharacteristic
342C2×C22⋊C4×C47—42no—
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×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×C42×C47C2311yescharacteristic
360C2×C42×C47C2311yescharacteristic
361#95×C47C2311yescharacteristic
362#95×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—41no—
373C24×C47—41no—
374C24×C47—41no—
375C24×C47—41no—
376C24×C47C2411yescharacteristic
377C24×C47C2411yescharacteristic
378C24×C47C2411yescharacteristic
379C23×D47—22no—
380C23×D47—22no—
381C23×D47—22no—
382C23×D47—41no—
383C23×D47—41no—
384C23×D47—41no—
385C23×D47—41no—
386C23×D47C2411yescharacteristic
387C23×D47C2411yescharacteristic
388C23×D47C2411yescharacteristic
389C22×C4×C47—22no—
390C22×C4×C47—22no—
391C22×C4×C47—22no—
392C22×C4×C47—41no—
393C22×C4×C47—41no—
394C22×C4×C47—41no—
395C22×C4×C47C2411yescharacteristic
396C22×C4×C47C2411yescharacteristic
397C22×C4×C47C2411yescharacteristic
398C22×C4×C47C2411yescharacteristic
399C22×C4×C47C2411yescharacteristic
400C22×C4×C47C2411yescharacteristic
401C22×C4×C47C2411yescharacteristic
402C22×C4×C47C2411yescharacteristic
403C22×C4×C47C2411yescharacteristic
404C22×C4×C47C2411yescharacteristic
405C22×C4×C47C2411yescharacteristic
406C22×C4×C47C2411yescharacteristic
407C2×C22⋊D47—22no—
408C2×C22⋊D47—22no—
409C2×C22⋊D47—22no—
410C2×C22⋊D47—22no—
411C2×C22⋊D47—22no—
412C2×C22⋊D47—22no—
413C2×C22⋊D47—22no—
414C2×C22⋊D47—22no—
415C2×C22⋊D47—22no—
416C2×C22⋊D47—22no—
417C2×C22⋊D47—22no—
418C2×C22⋊D47—22no—
419C2×C22⋊D47—41no—
420C2×C22⋊D47—41no—
421C2×C22⋊D47—41no—
422C2×C22⋊D47—41no—
423C2×C22⋊D47—416no—
424C2×C22⋊D47—41no—
425C2×C22⋊D47—41no—
426C2×C22⋊D47—41no—
427C2×C22⋊D47—41no—
428C2×C22⋊D47#4114yes—
429C22×Dic47—22no—
430C22×Dic47—22no—
431C22×Dic47—22no—
432C22×Dic47—41no—
433C22×Dic47—41no—
434C22×Dic47—41no—
435C22×Dic47—41no—
436C22×Dic47#4114yes—
437C22×Dic47#4114yes—
438C22×Dic47C2411yescharacteristic
439C22×Dic47C2411yescharacteristic
440C22×Dic47C2411yescharacteristic
441C22×Dic47C2411yescharacteristic
442C22×Dic47C2411yescharacteristic
443C22×Dic47C2411yescharacteristic
444C22×Dic47C2411yescharacteristic
445C22×Dic47C2411yescharacteristic
446C22×Dic47C2411yescharacteristic
447C22×Dic47C2411yescharacteristic
448C22×Dic47C2411yescharacteristic
449C22×Dic47C2411yescharacteristic
450C22×Dic47C2411yescharacteristic
451C2×D188—22no—
452C2×D188—22no—
453C2×D188—41no—
454C2×D188—41no—
455C2×D188—41no—
456C2×D188—41no—
457C2×C4×D47—22no—
458C2×C4×D47—22no—
459C2×C4×D47—22no—
460C2×C4×D47—22no—
461C2×C4×D47—22no—
462C2×C4×D47—22no—
463C2×C4×D47—41no—
464C2×C4×D47—41no—
465C2×C4×D47—41no—
466C2×Dic94—22no—
467C2×Dic94—22no—
468C2×Dic94—22no—
469C4⋊C4×C47—22no—
470C4⋊C4×C47—41no—
471C4⋊C4×C47—41no—
472C4⋊C4×C47—41no—
473C4⋊C4×C47—41no—
474C4⋊C4×C47—41no—
475C22⋊C4×C47—22no—
476C22⋊C4×C47—22no—
477C22⋊C4×C47—22no—
478C22⋊C4×C47—22no—
479C22⋊C4×C47—22no—
480C22⋊C4×C47—22no—
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—
490C22⋊C4×C47—41no—
491C42×C47—22no—
492C42×C47—41no—
493C22⋊Dic47—22no—
494C22⋊Dic47—22no—
495C22⋊Dic47—22no—
496C22⋊Dic47—22no—
497C22⋊Dic47—22no—
498C22⋊Dic47—22no—
499C22⋊Dic47—22no—
500C22⋊Dic47—22no—
501C22⋊Dic47—22no—
502C22⋊Dic47—41no—
503C22⋊Dic47—41no—
504C22⋊Dic47—41no—
505C22⋊Dic47—41no—
506(C2×D47)⋊C4—22no—
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—22no—
516(C2×D47)⋊C4—22no—
517(C2×D47)⋊C4—41no—
518(C2×D47)⋊C4—41no—
519(C2×D47)⋊C4—41no—
520(C2×D47)⋊C4—41no—
521(C2×D47)⋊C4—41no—
522(C2×D47)⋊C4—41no—
523(C2×D47)⋊C4—41no—
524(C2×D47)⋊C4—41no—
525(C2×D47)⋊C4—41no—
526(C2×D47)⋊C4—41no—
527(C2×D47)⋊C4—41no—
528(C2×D47)⋊C4—41no—
529(C2×D47)⋊C4—41no—
530(C2×D47)⋊C4—41no—
531(C2×D47)⋊C4—41no—
532(C2×D47)⋊C4—41no—
533(C2×D47)⋊C4—41no—
534(C2×D47)⋊C4—41no—
535C4⋊Dic47—22no—
536C4⋊Dic47—41no—
537C4⋊Dic47—41no—
538Dic47⋊C4—22no—
539Dic47⋊C4—22no—
540Dic47⋊C4—22no—
541Dic47⋊C4—22no—
542Dic47⋊C4—22no—
543Dic47⋊C4—22no—
544Dic47⋊C4—22no—
545Dic47⋊C4—22no—
546Dic47⋊C4—22no—
547Dic47⋊C4—22no—
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—
557C4×Dic47—22no—
558C4×Dic47—22no—
559C4×Dic47—22no—
560C4×Dic47—22no—
561C4×Dic47—22no—
562C4×Dic47—22no—
563C4×Dic47—22no—
564C4×Dic47—41no—
565C4×Dic47—41no—
566C4×Dic47—41no—
567C4×Dic47—41no—
568C4×Dic47—41no—
569C4×Dic47—41no—
570C4×Dic47—41no—
571C4×Dic47—41no—
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—21no—
587C23×C47—21no—
588C23×C47—21no—
589C23×C47—21no—
590C23×C47—44no—
591C23×C47—44no—
592C23×C47—44no—
593C23×C47—82no—
594C23×C47—82no—
595C23×C47—82no—
596C23×C47—82no—
597C23×C47C2×#4112yes—
598C23×C47C2×#4112yes—
599C23×C47C2×#4112yes—
600C23×C47C2511yescharacteristic
601C22×D47—21no—
602C22×D47—21no—
603C22×D47—21no—
604C22×D47—21no—
605C22×D47—21no—
606C22×D47—21no—
607C22×D47—21no—
608C22×D47—21no—
609C22×D47—21no—
610C22×D47—21no—
611C22×D47—21no—
612C22×D47—21no—
613C22×D47—21no—
614C22×D47—21no—
615C22×D47—21no—
616C22×D47—21no—
617C22×D47—21no—
618C22×D47—21no—
619C22×D47—21no—
620C22×D47—21no—
621C22×D47—44no—
622C22×D47—44no—
623C22×D47—44no—
624C22×D47—82no—
625C22×D47—82no—
626C22×D47—82no—
627C22×D47—82no—
628C22×D47C2×#4112yes—
629C2×C4×C47—21no—
630C2×C4×C47—21no—
631C2×C4×C47—21no—
632C2×C4×C47—21no—
633C2×C4×C47—21no—
634C2×C4×C47—21no—
635C2×C4×C47—21no—
636C2×C4×C47—21no—
637C2×C4×C47—21no—
638C2×C4×C47—21no—
639C2×C4×C47—21no—
640C2×C4×C47—21no—
641C2×C4×C47—21no—
642C2×C4×C47—21no—
643C2×C4×C47—21no—
644C2×C4×C47—21no—
645C2×C4×C47—21no—
646C2×C4×C47—21no—
647C2×C4×C47—21no—
648C2×C4×C47—21no—
649C2×C4×C47—21no—
650C2×C4×C47—21no—
651C2×C4×C47—21no—
652C2×C4×C47—21no—
653C2×C4×C47—21no—
654C2×C4×C47—21no—
655C2×C4×C47—21no—
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—44no—
665C2×C4×C47—82no—
666C2×C4×C47H(5,𝔽2)12yes—
667C22⋊D47—28no—
668C22⋊D47—44no—
669C22⋊D47—44no—
670C22⋊D47—44no—
671C22⋊D47—44no—
672C22⋊D47—82no—
673C22⋊D47—82no—
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—28no—
683C2×Dic47—21no—
684C2×Dic47—21no—
685C2×Dic47—21no—
686C2×Dic47—21no—
687C2×Dic47—21no—
688C2×Dic47—21no—
689C2×Dic47—21no—
690C2×Dic47—21no—
691C2×Dic47—21no—
692C2×Dic47—21no—
693C2×Dic47—21no—
694C2×Dic47—21no—
695C2×Dic47—21no—
696C2×Dic47—21no—
697C2×Dic47—21no—
698C2×Dic47—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—44no—
708C2×Dic47—82no—
709C2×Dic47C2×#4112yes—
710C2×Dic47C2×#4112yes—
711C2×Dic47C2×#4112yes—
712C2×Dic47C2×#4112yes—
713C2×Dic47C2×#4112yes—
714C2×Dic47H(5,𝔽2)12yes—
715C2×Dic47H(5,𝔽2)12yes—
716D188—82no—
717D188—82no—
718C4×D47—44no—
719C4×D47—44no—
720C4×D47—44no—
721Dic94—44no—
722#35025—471nomaximal, Sylow
723C22×C47—22no—
724C22×C47—22no—
725C22×C47—22no—
726C22×C47—22no—
727C22×C47—22no—
728C22×C47—22no—
729C22×C47—41no—
730C22×C47—41no—
731C22×C47—41no—
732C22×C47—41no—
733C22×C47—41no—
734C22×C47—41no—
735C22×C47—41no—
736C22×C47—41no—
737C22×C47—41no—
738C22×C47—41no—
739C22×C47—41no—
740C22×C47—41no—
741C22×C47—41no—
742C22×C47—41no—
743C22×C47—88no—
744C22×C47#52914yes—
745C22×C47C22×#4111yescharacteristic
746C22×C47C22×#4111yescharacteristic
747C22×C47C22×#4111yescharacteristic
748C22×C47C2×H(5,𝔽2)11yescharacteristic
749C22×C47C2×H(5,𝔽2)11yescharacteristic
750C22×C47C2×H(5,𝔽2)11yescharacteristic
751C22×C47#58511yescharacteristic
752C2×D47—22no—
753C2×D47—22no—
754C2×D47—22no—
755C2×D47—41no—
756C2×D47—41no—
757C2×D47—41no—
758C2×D47—41no—
759C2×D47—41no—
760C2×D47—41no—
761C2×D47—41no—
762C2×D47—41no—
763C2×D47—41no—
764C2×D47—41no—
765C2×D47—41no—
766C2×D47—41no—
767C2×D47—41no—
768C2×D47—41no—
769C2×D47—41no—
770C2×D47—41no—
771C2×D47—41no—
772C2×D47—41no—
773C2×D47—88no—
774C4×C47—22no—
775C4×C47—41no—
776C4×C47—41no—
777C4×C47—41no—
778C4×C47—41no—
779C4×C47—41no—
780C4×C47—41no—
781C4×C47—41no—
782C4×C47—41no—
783C4×C47—41no—
784C4×C47—41no—
785C4×C47—41no—
786Dic47—22no—
787Dic47—22no—
788Dic47—22no—
789Dic47—22no—
790Dic47—41no—
791Dic47—41no—
792Dic47—41no—
793Dic47—41no—
794Dic47—41no—
795Dic47—41no—
796Dic47—41no—
797Dic47—41no—
798Dic47#53814yes—
799#2861—471no—
800#2860—471no—
801#2854—471no—
802#2850—471no—
803#2651—471no—
804#2651—471no—
805#2648—471no—
806#2648—471no—
807#2593—471no—
808#2593—471no—
809#2554—471no—
810#2554—471no—
811#2513—471no—
812#2490—471no—
813#2480—471no—
814#2480D4711yescharacteristic, complemented
815#2448—471no—
816#2442—471no—
817#2435—471no—
818#2426—471no—
819#2418—471no—
820#2418—471no—
821#2417—471no—
822#2408—471no—
823#2321—471no—
824#2321—471no—
825#2312—471no—
826#2312—471no—
827C4×C22⋊Q8—471no—
828C2×#390—471no—
829C42×D4—471no—
830C2×C47—24no—
831C2×C47—81no—
832C2×C47—81no—
833C2×C47C2×#52911yescharacteristic
834C2×C47C2×#53811yescharacteristic
835C2×C47#346011yescharacteristic
836C2×C47#350511yescharacteristic
837C2×C47#350811yescharacteristic
838C2×C47#351411yescharacteristic
839C2×C47#351911yescharacteristic
840D47—42no—
841D47—81no—
842D47—81no—
843C23×D4—471no—
844C2×#126—471no—
845C2×#126C2×D4711yescharacteristic, complemented
846C2×#125—471no—
847C2×#124—471no—
848C2×#124—471no—
849C2×#123—471no—
850C2×#123—471no—
851C2×C22⋊Q8—471no—
852C2×C22⋊Q8—471no—
853C2×#121—471no—
854C2×#121—471no—
855C2×#120—471no—
856C2×#120—471no—
857C2×C4×Q8—471no—
858C2×C4×D4—471no—
859C2×C4×D4—471no—
860C2×C4×D4—471no—
861C22×C4⋊C4—471no—
862C22×C22⋊C4—471no—
863C22×C22⋊C4—471no—
864C22×C22⋊C4—471no—
865C22×C22⋊C4C2×D4711yescharacteristic
866C22×C42—471no—
867C22×C42—471no—
868#400—471no—
869#400—471no—
870#399—471no—
871#399—471no—
872#398—471no—
873#398—471no—
874#398—471no—
875#398—471no—
876#397—471no—
877#397—471no—
878#397—471no—
879#397—471no—
880#397—471no—
881#397C2×D4711yescharacteristic, complemented
882#397C2×D4711yescharacteristic, complemented
883#397C2×D4711yescharacteristic, complemented
884#396—471no—
885#396—471no—
886#396—471no—
887#396C2×D4711yescharacteristic, complemented
888#394—471no—
889#394—471no—
890#394—471no—
891#394—471no—
892#394—471no—
893#394—471no—
894#394—471no—
895#394—471no—
896#394—471no—
897#394—471no—
898#392—471no—
899#392—471no—
900#391—471no—
901#391—471no—
902#390—471no—
903#390—471no—
904#390—471no—
905#390—471no—
906#390—471no—
907#390—471no—
908#390—471no—
909#390—471no—
910#390—471no—
911#390—471no—
912#390—471no—
913#390—471no—
914#390—471no—
915#390—471no—
916#390—471no—
917#390—471no—
918#389—471no—
919#389—471no—
920#389—471no—
921#389—471no—
922#388—471no—
923#388—471no—
924#388—471no—
925#388—471no—
926#388—471no—
927#388—471no—
928#388—471no—
929#388—471no—
930#388—471no—
931#388—471no—
932#388—471no—
933#388—471no—
934#388—471no—
935#388—471no—
936#388—471no—
937#388—471no—
938#388—471no—
939#388—471no—
940#388—471no—
941#388—471no—
942#388—471no—
943#388—471no—
944#388—471no—
945#388—471no—
946#388—471no—
947#388—471no—
948#388—471no—
949#388—471no—
950#388—471no—
951#388—471no—
952#388—471no—
953#388C2×D4711yescharacteristic, complemented
954#388C2×D4711yescharacteristic, complemented
955#388C2×D4711yescharacteristic, complemented
956#387—471no—
957#387—471no—
958#386—471no—
959#386—471no—
960#386—471no—
961#386—471no—
962#386—471no—
963#386—471no—
964#386—471no—
965#386—471no—
966#385—471no—
967#385—471no—
968#385C2×D4711yescharacteristic
969#385C2×D4711yescharacteristic
970#382—471no—
971#380—471no—
972#380—471no—
973#380—471no—
974#380—471no—
975#380—471no—
976#380C2×D4711yescharacteristic
977#379—471no—
978#379—471no—
979#379—471no—
980#379—471no—
981#379C2×D4711yescharacteristic
982#379C2×D4711yescharacteristic
983C4×C4⋊C4—471no—
984C4×C4⋊C4—471no—
985C4×C4⋊C4—471no—
986C4×C4⋊C4—471no—
987C4×C4⋊C4—471no—
988C4×C4⋊C4—471no—
989C4×C22⋊C4—471no—
990C4×C22⋊C4—471no—
991C4×C22⋊C4—471no—
992C4×C22⋊C4—471no—
993C4×C22⋊C4—471no—
994C4×C22⋊C4—471no—
995C4×C22⋊C4—471no—
996C4×C22⋊C4C2×D4711yescharacteristic
997C43—471no—
998C47#3502511yescharacteristic, complemented, Sylow
999C25—471no—
1000C25C22×D4711yescharacteristic
1001C22×Q8—471no—
1002C22×D4—471no—
1003C22×D4—471no—
1004C22×D4—471no—
1005C22×D4—471no—
1006C22×D4—471no—
1007C22×D4—471no—
1008C22×D4—471no—
1009C22×D4—471no—
1010C22×D4—471no—
1011C22×D4—944no—
1012C22×D4—1882no—
1013C22×D4—1882no—
1014C23×C4—471no—
1015C23×C4—471no—
1016C23×C4—471no—
1017C23×C4—471no—
1018C23×C4—471no—
1019C23×C4—471no—
1020C23×C4C22×D4711yescharacteristic
1021C23×C4C22×D4711yescharacteristic
1022#126—42no—
1023#126—1882no—
1024#125—1882no—
1025#124—1882no—
1026#124—1882no—
1027#123—1882no—
1028#123—1882no—
1029C22⋊Q8—944no—
1030C22⋊Q8—1882no—
1031#121—1882no—
1032#121—1882no—
1033#120—944no—
1034#120—944no—
1035C4×Q8—1882no—
1036C4×D4—944no—
1037C4×D4—944no—
1038C4×D4—944no—
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—471no—
1054C2×C4⋊C4—471no—
1055C2×C4⋊C4—471no—
1056C2×C4⋊C4—471no—
1057C2×C4⋊C4—471no—
1058C2×C4⋊C4—471no—
1059C2×C4⋊C4—471no—
1060C2×C4⋊C4—471no—
1061C2×C4⋊C4—1882no—
1062C2×C4⋊C4C22×D4711yescharacteristic
1063C2×C4⋊C4C22×D4711yescharacteristic
1064C2×C4⋊C4C22×D4711yescharacteristic
1065C2×C4⋊C4C22×D4711yescharacteristic
1066C2×C4⋊C4C22×D4711yescharacteristic
1067C2×C4⋊C4C22×D4711yescharacteristic
1068C2×C22⋊C4—42no—
1069C2×C22⋊C4—471no—
1070C2×C22⋊C4—471no—
1071C2×C22⋊C4—471no—
1072C2×C22⋊C4—471no—
1073C2×C22⋊C4—471no—
1074C2×C22⋊C4—471no—
1075C2×C22⋊C4—471no—
1076C2×C22⋊C4—471no—
1077C2×C22⋊C4—471no—
1078C2×C22⋊C4—471no—
1079C2×C22⋊C4—471no—
1080C2×C22⋊C4—471no—
1081C2×C22⋊C4—471no—
1082C2×C22⋊C4—471no—
1083C2×C22⋊C4—471no—
1084C2×C22⋊C4—471no—
1085C2×C22⋊C4—471no—
1086C2×C22⋊C4—471no—
1087C2×C22⋊C4—471no—
1088C2×C22⋊C4—471no—
1089C2×C22⋊C4—471no—
1090C2×C22⋊C4—471no—
1091C2×C22⋊C4—471no—
1092C2×C22⋊C4—471no—
1093C2×C22⋊C4—471no—
1094C2×C22⋊C4—471no—
1095C2×C22⋊C4—471no—
1096C2×C22⋊C4—471no—
1097C2×C22⋊C4—471no—
1098C2×C22⋊C4—471no—
1099C2×C22⋊C4—471no—
1100C2×C22⋊C4—471no—
1101C2×C22⋊C4—471no—
1102C2×C22⋊C4—471no—
1103C2×C22⋊C4—471no—
1104C2×C22⋊C4—471no—
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—944no—
1112C2×C22⋊C4—944no—
1113C2×C22⋊C4—1882no—
1114C2×C22⋊C4C22×D4711yescharacteristic
1115C2×C22⋊C4C22×D4711yescharacteristic
1116C2×C22⋊C4C22×D4711yescharacteristic
1117C2×C22⋊C4C22×D4711yescharacteristic
1118C2×C22⋊C4C22×D4711yescharacteristic
1119C2×C22⋊C4C22×D4711yescharacteristic
1120C2×C22⋊C4C22×D4711yescharacteristic
1121C2×C22⋊C4C22×D4711yescharacteristic
1122C2×C22⋊C4C22×D4711yescharacteristic
1123C2×C22⋊C4C22×D4711yescharacteristic
1124C2×C22⋊C4C22×D4711yescharacteristic
1125C2×C22⋊C4C22×D4711yescharacteristic
1126C2×C22⋊C4C22×D4711yescharacteristic
1127C2×C22⋊C4C22×D4711yescharacteristic
1128C2×C22⋊C4C22×D4711yescharacteristic
1129C2×C22⋊C4C22×D4711yescharacteristic
1130C2×C42—471no—
1131C2×C42—471no—
1132C2×C42—471no—
1133C2×C42—471no—
1134C2×C42—471no—
1135C2×C42—471no—
1136C2×C42—471no—
1137C2×C42—471no—
1138C2×C42—471no—
1139C2×C42—471no—
1140C2×C42—471no—
1141C2×C42—471no—
1142C2×C42—471no—
1143C2×C42—471no—
1144C2×C42—471no—
1145C2×C42—1882no—
1146C2×C42—1882no—
1147C2×C42C22×D4711yescharacteristic
1148C2×C42C22×D4711yescharacteristic
1149#95—471no—
1150#95—471no—
1151#95—471no—
1152#95—471no—
1153#95—471no—
1154#95—471no—
1155#95—471no—
1156#95—471no—
1157#95—471no—
1158#95—471no—
1159#95—471no—
1160#95—471no—
1161#95—471no—
1162#95—471no—
1163#95—471no—
1164#95—471no—
1165#95—471no—
1166#95—471no—
1167#95—471no—
1168#95—471no—
1169#95—471no—
1170#95—471no—
1171#95—471no—
1172#95—471no—
1173#95C22×D4711yescharacteristic
1174#95C22×D4711yescharacteristic
1175#95C22×D4711yescharacteristic
1176#95C22×D4711yescharacteristic
1177#95C22×D4711yescharacteristic
1178#95C22×D4711yescharacteristic
1179#95C22×D4711yescharacteristic
1180#95C22×D4711yescharacteristic
1181C24—22no—
1182C24—22no—
1183C24—22no—
1184C24—41no—
1185C24—41no—
1186C24—41no—
1187C24—41no—
1188C24—471no—
1189C24—471no—
1190C24—471no—
1191C24—942no—
1192C24—942no—
1193C24—942no—
1194C24—1881no—
1195C24—1881no—
1196C24—1881no—
1197C24—1881no—
1198C24C23×D4711yescharacteristic
1199C24C23×D4711yescharacteristic
1200C24C23×D4711yescharacteristic
1201C2×Q8—942no—
1202C2×Q8—942no—
1203C2×Q8—942no—
1204C2×D4—474no—
1205C2×D4—942no—
1206C2×D4—942no—
1207C2×D4—942no—
1208C2×D4—942no—
1209C2×D4—942no—
1210C2×D4—942no—
1211C2×D4—942no—
1212C2×D4—942no—
1213C2×D4—942no—
1214C2×D4—942no—
1215C2×D4—942no—
1216C2×D4—942no—
1217C2×D4—942no—
1218C2×D4—942no—
1219C2×D4—1881no—
1220C2×D4—1881no—
1221C2×D4—1881no—
1222C2×D4—1881no—
1223C2×D4—1881no—
1224C2×D4—1881no—
1225C2×D4—1881no—
1226C2×D4—1881no—
1227C2×D4—1881no—
1228C2×D4—1881no—
1229C2×D4—1881no—
1230C2×D4—1881no—
1231C2×D4—18816no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—41no—
1236C22×C4—41no—
1237C22×C4—41no—
1238C22×C4—471no—
1239C22×C4—474no—
1240C22×C4—471no—
1241C22×C4—471no—
1242C22×C4—471no—
1243C22×C4—471no—
1244C22×C4—474no—
1245C22×C4—471no—
1246C22×C4—471no—
1247C22×C4—471no—
1248C22×C4—471no—
1249C22×C4—471no—
1250C22×C4—471no—
1251C22×C4—471no—
1252C22×C4—471no—
1253C22×C4—942no—
1254C22×C4—942no—
1255C22×C4—942no—
1256C22×C4—942no—
1257C22×C4—942no—
1258C22×C4—942no—
1259C22×C4—942no—
1260C22×C4—942no—
1261C22×C4—942no—
1262C22×C4—1881no—
1263C22×C4—1881no—
1264C22×C4—1881no—
1265C22×C4—1881no—
1266C22×C4—1881no—
1267C22×C4—1881no—
1268C22×C4—1881no—
1269C22×C4C23×D4711yescharacteristic
1270C22×C4C23×D4711yescharacteristic
1271C22×C4C23×D4711yescharacteristic
1272C22×C4C23×D4711yescharacteristic
1273C22×C4C23×D4711yescharacteristic
1274C22×C4C23×D4711yescharacteristic
1275C22×C4C23×D4711yescharacteristic
1276C22×C4C23×D4711yescharacteristic
1277C22×C4C23×D4711yescharacteristic
1278C22×C4C23×D4711yescharacteristic
1279C22×C4C23×D4711yescharacteristic
1280C22×C4C23×D4711yescharacteristic
1281C4⋊C4—22no—
1282C4⋊C4—41no—
1283C4⋊C4—41no—
1284C4⋊C4—41no—
1285C4⋊C4—41no—
1286C4⋊C4—41no—
1287C4⋊C4—942no—
1288C4⋊C4—942no—
1289C4⋊C4—942no—
1290C4⋊C4—942no—
1291C4⋊C4—942no—
1292C4⋊C4—942no—
1293C4⋊C4—942no—
1294C4⋊C4—942no—
1295C4⋊C4—942no—
1296C4⋊C4—942no—
1297C4⋊C4—942no—
1298C4⋊C4—1881no—
1299C4⋊C4—1881no—
1300C4⋊C4—1881no—
1301C4⋊C4—1881no—
1302C4⋊C4—1881no—
1303C4⋊C4—1881no—
1304C4⋊C4—1881no—
1305C4⋊C4—1881no—
1306C4⋊C4—1881no—
1307C4⋊C4—1881no—
1308C4⋊C4—1881no—
1309C22⋊C4—22no—
1310C22⋊C4—22no—
1311C22⋊C4—22no—
1312C22⋊C4—22no—
1313C22⋊C4—22no—
1314C22⋊C4—22no—
1315C22⋊C4—41no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—942no—
1326C22⋊C4—942no—
1327C22⋊C4—942no—
1328C22⋊C4—942no—
1329C22⋊C4—942no—
1330C22⋊C4—942no—
1331C22⋊C4—942no—
1332C22⋊C4—942no—
1333C22⋊C4—942no—
1334C22⋊C4—942no—
1335C22⋊C4—942no—
1336C22⋊C4—942no—
1337C22⋊C4—942no—
1338C22⋊C4—942no—
1339C22⋊C4—942no—
1340C22⋊C4—942no—
1341C22⋊C4—942no—
1342C22⋊C4—942no—
1343C22⋊C4—942no—
1344C22⋊C4—942no—
1345C22⋊C4—1881no—
1346C22⋊C4—1881no—
1347C22⋊C4—1881no—
1348C22⋊C4—1881no—
1349C22⋊C4—1881no—
1350C22⋊C4—1881no—
1351C22⋊C4—1881no—
1352C22⋊C4—1881no—
1353C22⋊C4—1881no—
1354C22⋊C4—1881no—
1355C22⋊C4—1881no—
1356C22⋊C4—1881no—
1357C22⋊C4—1881no—
1358C22⋊C4—1881no—
1359C22⋊C4—1881no—
1360C22⋊C4—1881no—
1361C22⋊C4—1881no—
1362C22⋊C4—1881no—
1363C22⋊C4—1881no—
1364C22⋊C4—1881no—
1365C22⋊C4—1881no—
1366C22⋊C4—1881no—
1367C42—22no—
1368C42—41no—
1369C42—942no—
1370C42—942no—
1371C42—942no—
1372C42—942no—
1373C42—942no—
1374C42—942no—
1375C42—942no—
1376C42—1881no—
1377C42—1881no—
1378C42—1881no—
1379C42—1881no—
1380C42—1881no—
1381C42—1881no—
1382C42—1881no—
1383C42—1881no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—44no—
1403C23—44no—
1404C23—44no—
1405C23—82no—
1406C23—82no—
1407C23—82no—
1408C23—82no—
1409C23—472no—
1410C23—941no—
1411C23—941no—
1412C23—941no—
1413C23—941no—
1414C23—941no—
1415C23—941no—
1416C23—941no—
1417C23—941no—
1418C23—941no—
1419C23—941no—
1420C23—941no—
1421C23—941no—
1422C23—941no—
1423C23—941no—
1424C23—941no—
1425C23—941no—
1426C23—941no—
1427C23—941no—
1428C23—941no—
1429C23—941no—
1430C23—3762no—
1431C23—3762no—
1432C23—3762no—
1433C23—3762no—
1434C23—1884no—
1435C23—1884no—
1436C23—1884no—
1437C23#41×D4712yes—
1438C23#41×D4712yes—
1439C23#41×D4712yes—
1440C23C24×D4711yescharacteristic
1441Q8—1884no—
1442D4—948no—
1443D4—3762no—
1444D4—3762no—
1445D4—3762no—
1446D4—3762no—
1447D4—1884no—
1448D4—1884no—
1449D4—1884no—
1450D4—1884no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—44no—
1487C2×C4—82no—
1488C2×C4—472no—
1489C2×C4—472no—
1490C2×C4—472no—
1491C2×C4—472no—
1492C2×C4—472no—
1493C2×C4—472no—
1494C2×C4—472no—
1495C2×C4—948no—
1496C2×C4—941no—
1497C2×C4—941no—
1498C2×C4—941no—
1499C2×C4—941no—
1500C2×C4—941no—
1501C2×C4—941no—
1502C2×C4—941no—
1503C2×C4—941no—
1504C2×C4—941no—
1505C2×C4—941no—
1506C2×C4—941no—
1507C2×C4—941no—
1508C2×C4—941no—
1509C2×C4—941no—
1510C2×C4—941no—
1511C2×C4—941no—
1512C2×C4—941no—
1513C2×C4—941no—
1514C2×C4—941no—
1515C2×C4—941no—
1516C2×C4—941no—
1517C2×C4—941no—
1518C2×C4—941no—
1519C2×C4—941no—
1520C2×C4—941no—
1521C2×C4—941no—
1522C2×C4—941no—
1523C2×C4—941no—
1524C2×C4—941no—
1525C2×C4—941no—
1526C2×C4—941no—
1527C2×C4—941no—
1528C2×C4—3762no—
1529C2×C4—1884no—
1530C2×C4—1884no—
1531C2×C4—1884no—
1532C2×C4—1884no—
1533C2×C4#1309406912yes—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—22no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—88no—
1555C22—942no—
1556C22—942no—
1557C22—942no—
1558C22—3768no—
1559C22—1881no—
1560C22—1881no—
1561C22—1881no—
1562C22—1881no—
1563C22—1881no—
1564C22—1881no—
1565C22—1881no—
1566C22—1881no—
1567C22—1881no—
1568C22—1881no—
1569C22—1881no—
1570C22—1881no—
1571C22—1881no—
1572C22—1881no—
1573C22—1881no—
1574C22—1881no—
1575C22—1881no—
1576C22—1881no—
1577C22#1568965614yes—
1578C22C2×#41×D4711yescharacteristic
1579C22C2×#41×D4711yescharacteristic
1580C22C2×#41×D4711yescharacteristic
1581C22H(5,𝔽2)×D4711yescharacteristic
1582C22H(5,𝔽2)×D4711yescharacteristic
1583C22C2×#1309406911yescharacteristic
1584C22#1568995911yescharacteristic
1585C4—22no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—474no—
1598C4—942no—
1599C4—942no—
1600C4—942no—
1601C4—942no—
1602C4—1881no—
1603C4—1881no—
1604C4—1881no—
1605C4—1881no—
1606C4—1881no—
1607C4—1881no—
1608C4—1881no—
1609C4—1881no—
1610C2—24no—
1611C2—81no—
1612C2—81no—
1613C2—3761no—
1614C2—3761no—
1615C2—1882no—
1616C2C2×#1568965611yescharacteristic
1617C2#538×D4711yescharacteristic
1618C2#2025680611yescharacteristic
1619C2#2025721911yescharacteristic
1620C2#2025725611yescharacteristic
1621C2#2025733811yescharacteristic
1622C2#2025740911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2480C2
prime radical#20246743C2
hypercenter#2480D47
hypocenterC47#35025
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2480

Complements

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

NH ≅ G/Ntype
1. #20251757C2semidirect
2. #20251753C2semidirect
3. #20251715C2semidirect
4. #20251686C2semidirect
5. #20249428C2semidirect
6. #20249426C2semidirect
7. #20249383C2semidirect
8. #20249381C2semidirect
9. #20248883C2semidirect
10. #20248882C2semidirect
11. #20248454C2semidirect
12. #20248446C2semidirect
13. #20247978C2semidirect
14. #20247735C2semidirect
15. #20247634C2semidirect
16. #20247179C2semidirect
17. #20247111C2semidirect
18. #20247037C2semidirect
19. #20246949C2semidirect
20. #20246852C2semidirect
21. #20246850C2semidirect
22. #20246838C2semidirect
24. #20246045C2semidirect
25. #20246043C2semidirect
26. #20245985C2semidirect
27. #20245984C2semidirect
28. #20245920C2semidirect
29. C2×#15689023C2semidirect
30. C4×(C22⋊D47)⋊C4C2semidirect
31. C47×#2480C2semidirect
33. C2×#13094018C22semidirect
34. C2×#13094014C22semidirect
37. C2×#13094009C22semidirect
38. C2×#13094006C22semidirect
39. C2×#13094002C22semidirect
45. C2×#13093989C22semidirect
54. C2×C42×D47C22semidirect
55. #15689064C22semidirect
56. #15689063C22semidirect
57. #15689059C22semidirect
58. #15689058C22semidirect
59. #15689057C22semidirect
60. #15689056C22semidirect
61. #15689054C22semidirect
62. #15689054C22semidirect
63. #15689052C22semidirect
64. #15689052C22semidirect
65. #15689052C22semidirect
66. #15689052C22semidirect
67. #15689051C22semidirect
68. #15689047C22semidirect
69. #15689047C22semidirect
70. #15689045C22semidirect
71. #15689041C22semidirect
72. #15689040C22semidirect
75. #15689039C22semidirect
80. #15689038C22semidirect
83. #15689027C22semidirect
84. #15689027C22semidirect
85. #15689024C22semidirect
86. #15689024C22semidirect
99. #15689023C22semidirect
100. #15689023C22semidirect
101. #15689020C22semidirect
102. #15689018C22semidirect
103. #15689018C22semidirect
104. #15689018C22semidirect
105. #15689017C22semidirect
106. #15689017C22semidirect
107. #15689017C22semidirect
108. #15689017C22semidirect
109. #15689017C22semidirect
110. #15689017C22semidirect
111. #15689017C22semidirect
112. #15689016C22semidirect
113. #15689015C22semidirect
114. #15689015C22semidirect
115. #15689015C22semidirect
116. #15689015C22semidirect
117. #15689014C22semidirect
118. #15689014C22semidirect
119. #15689014C22semidirect
120. #15689013C22semidirect
121. #15689013C22semidirect
122. #15689013C22semidirect
123. #15689013C22semidirect
124. #15689013C22semidirect
125. #15689013C22semidirect
126. #15689013C22semidirect
127. #15689012C22semidirect
128. #15689012C22semidirect
129. #15689012C22semidirect
130. #15689011C22semidirect
131. #15689011C22semidirect
132. #15689011C22semidirect
133. #15689011C22semidirect
134. #15689011C22semidirect
135. #15689011C22semidirect
136. #15689008C22semidirect
137. #15689004C22semidirect
139. #15689001C22semidirect
140. #15689001C22semidirect
141. #15689001C22semidirect
143. #15688999C22semidirect
144. #15688999C22semidirect
145. #15688999C22semidirect
148. #15688987C22semidirect
150. #15688982C22semidirect
158. C4⋊C4×Dic47C22semidirect
159. C4×Dic47⋊C4C22semidirect
160. #15688974C22semidirect
161. #15688974C22semidirect
162. #15688974C22semidirect
163. #15688974C22semidirect
168. C4×(C2×D47)⋊C4C22semidirect
169. #15688970C22semidirect
170. #15688970C22semidirect
171. C42×Dic47C22semidirect
172. C2×#126×C47C22semidirect
174. C47×#397C22semidirect
175. C47×#397C22semidirect
176. C47×#397C22semidirect
177. C47×#396C22semidirect
178. C47×#388C22semidirect
179. C47×#388C22semidirect
180. C47×#388C22semidirect
814. #2480D47semidirect
845. C2×#126C2×D47semidirect
881. #397C2×D47semidirect
882. #397C2×D47semidirect
883. #397C2×D47semidirect
887. #396C2×D47semidirect
953. #388C2×D47semidirect
954. #388C2×D47semidirect
955. #388C2×D47semidirect
998. C47#35025semidirect

Maximal subgroups

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

subgroupindex
#202517572
#202517532
#202517152
#202516862
#202494282
#202494262
#202493832
#202493812
#202488832
#202488822
#202484542
#202484462
#202479782
#202477352
#202476342
#202471792
#202471112
#202470372
#202469492
#202468522
#202468502
#202468382
#202467432
#202460452
#202460432
#202459852
#202459842
#202459202
C2×#156890232
C4×(C22⋊D47)⋊C42
C47×#24802
#3502547