Finite Group Databasebeta

← #26425188

Subgroups — #26425188

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#20251705C211yesmaximal, characteristic, complemented
2#20251685C211yesmaximal, characteristic, complemented
3#20251364C211yesmaximal, characteristic, complemented
4#20251326C211yesmaximal, characteristic, complemented
5#20251324C211yesmaximal, characteristic, complemented
6#20251097C211yesmaximal, characteristic, complemented
7#20251058C211yesmaximal, characteristic, complemented
8#20251022C211yesmaximal, characteristic, complemented
9#20251013C211yesmaximal, characteristic, complemented
10#20250957C211yesmaximal, characteristic, complemented
11#20250762C211yesmaximal, characteristic, complemented
12#20250706C211yesmaximal, characteristic, complemented
13#20250705C211yesmaximal, characteristic, complemented
14#20250634C211yesmaximal, characteristic, complemented
15#20250415C211yesmaximal, characteristic, complemented
16#20250202C211yesmaximal, characteristic, complemented
17#20250183C211yesmaximal, characteristic, complemented
18#20249787C211yesmaximal, characteristic, complemented
19#20249165C211yesmaximal, characteristic, complemented
20#20249125C211yesmaximal, characteristic, complemented
21#20247514C211yesmaximal, characteristic, complemented
22#20247138C211yesmaximal, characteristic, complemented
23#20247070C211yesmaximal, characteristic, complemented
24#20246996C211yesmaximal, characteristic, complemented
25#20246926C211yesmaximal, characteristic, complemented
26#20246771C211yesmaximal, characteristic, complemented
27#20246706C211yesmaximal, characteristic, complemented
28#20246059C211yesmaximal, characteristic, complemented
29#20245975C211yesmaximal, characteristic, complemented
30C2×#15689012C211yesmaximal, characteristic, complemented
31C47×#2510C211yesmaximal, characteristic, complemented
32C22×#10625352C2211yescharacteristic
33C2×#13094019C2211yescharacteristic, complemented
34C2×#13094012C2211yescharacteristic
35C2×#13094010C2211yescharacteristic, complemented
36C2×#13094008C2211yescharacteristic
37C2×#13094001C2211yescharacteristic
38C2×#13093998C2211yescharacteristic
39C2×#13093997C2211yescharacteristic
40C2×#13093996C2211yescharacteristic
41C2×#13093994C2211yescharacteristic
42C2×#13093994C2211yescharacteristic
43C2×#13093992C2211yescharacteristic
44C2×C4×C22⋊D47C2211yescharacteristic
45C2×#13093980C2211yescharacteristic
46C22×Dic47⋊C4C2211yescharacteristic
47C22×(C2×D47)⋊C4C2211yescharacteristic
48C22×(C2×D47)⋊C4C2211yescharacteristic
49C22×(C2×D47)⋊C4C2211yescharacteristic
50C22×C4×Dic47C2211yescharacteristic
51#15689065C2211yescharacteristic, complemented
52#15689064C2211yescharacteristic, complemented
53#15689057C2211yescharacteristic, complemented
54#15689054C2211yescharacteristic, complemented
55#15689052C2211yescharacteristic
56#15689052C2211yescharacteristic
57#15689052C2211yescharacteristic, complemented
58#15689052C2211yescharacteristic, complemented
59#15689050C2211yescharacteristic
60#15689050C2211yescharacteristic
61#15689050C2211yescharacteristic
62#15689050C2211yescharacteristic
63#15689050C2211yescharacteristic
64#15689047C2211yescharacteristic
65#15689045C2211yescharacteristic
66#15689045C2211yescharacteristic
67#15689044C2211yescharacteristic, complemented
68#15689043C2211yescharacteristic, complemented
69#15689041C2211yescharacteristic
70#15689041C2211yescharacteristic
71#15689041C2211yescharacteristic
72#15689041C2211yescharacteristic
73#15689041C2211yescharacteristic
74#15689041C2211yescharacteristic, complemented
75#15689040C2211yescharacteristic
76#15689040C2211yescharacteristic
77#15689040C2211yescharacteristic
78#15689040C2211yescharacteristic
79#15689039C2211yescharacteristic
80#15689039C2211yescharacteristic
81#15689039C2211yescharacteristic, complemented
82#15689038C2211yescharacteristic
83#15689038C2211yescharacteristic
84#15689038C2211yescharacteristic
85#15689036C2211yescharacteristic
86#15689036C2211yescharacteristic
87#15689036C2211yescharacteristic
88#15689036C2211yescharacteristic, complemented
89#15689033C2211yescharacteristic
90#15689033C2211yescharacteristic
91#15689032C2211yescharacteristic
92#15689032C2211yescharacteristic
93#15689032C2211yescharacteristic
94#15689032C2211yescharacteristic, complemented
95#15689027C2211yescharacteristic, complemented
96#15689027C2211yescharacteristic, complemented
97#15689027C2211yescharacteristic, complemented
98#15689027C2211yescharacteristic, complemented
99#15689025C2211yescharacteristic
100#15689024C2211yescharacteristic
101#15689024C2211yescharacteristic
102#15689023C2211yescharacteristic
103#15689023C2211yescharacteristic, complemented
104#15689023C2211yescharacteristic, complemented
105#15689023C2211yescharacteristic, complemented
106#15689021C2211yescharacteristic, complemented
107#15689021C2211yescharacteristic, complemented
108#15689018C2211yescharacteristic, complemented
109#15689016C2211yescharacteristic, complemented
110#15689015C2211yescharacteristic
111#15689015C2211yescharacteristic
112#15689015C2211yescharacteristic, complemented
113#15689015C2211yescharacteristic, complemented
114#15689014C2211yescharacteristic
115#15689014C2211yescharacteristic
116#15689014C2211yescharacteristic, complemented
117#15689014C2211yescharacteristic, complemented
118#15689013C2211yescharacteristic, complemented
119#15689012C2211yescharacteristic
120#15689012C2211yescharacteristic
121#15689012C2211yescharacteristic
122#15689012C2211yescharacteristic
123#15689012C2211yescharacteristic
124#15689012C2211yescharacteristic
125#15689012C2211yescharacteristic
126#15689012C2211yescharacteristic
127#15689012C2211yescharacteristic
128#15689012C2211yescharacteristic, complemented
129#15689012C2211yescharacteristic, complemented
130#15689012C2211yescharacteristic, complemented
131#15689011C2211yescharacteristic, complemented
132#15689010C2211yescharacteristic, complemented
133#15689009C2211yescharacteristic, complemented
134#15689009C2211yescharacteristic, complemented
135#15689008C2211yescharacteristic, complemented
136#15689008C2211yescharacteristic, complemented
137#15689006C2211yescharacteristic, complemented
138#15689005C2211yescharacteristic, complemented
139#15689004C2211yescharacteristic, complemented
140#15689003C2211yescharacteristic
141#15689002C2211yescharacteristic
142#15689002C2211yescharacteristic
143#15689002C2211yescharacteristic
144#15689001C2211yescharacteristic
145#15689001C2211yescharacteristic
146#15689001C2211yescharacteristic
147#15689001C2211yescharacteristic, complemented
148#15689001C2211yescharacteristic, complemented
149#15689000C2211yescharacteristic
150#15689000C2211yescharacteristic
151#15689000C2211yescharacteristic
152#15689000C2211yescharacteristic
153#15689000C2211yescharacteristic
154#15689000C2211yescharacteristic, complemented
155#15688998C2211yescharacteristic
156#15688998C2211yescharacteristic, complemented
157#15688997C2211yescharacteristic, complemented
158#15688997C2211yescharacteristic, complemented
159#15688997C2211yescharacteristic, complemented
160#15688996C2211yescharacteristic
161#15688995C2211yescharacteristic
162#15688990C2211yescharacteristic, complemented
163#15688987C2211yescharacteristic, complemented
164#15688985C2211yescharacteristic, complemented
165#15688984C2211yescharacteristic
166#15688982C2211yescharacteristic, complemented
167#15688982C2211yescharacteristic, complemented
168#15688981C2211yescharacteristic, complemented
169#15688981C2211yescharacteristic, complemented
170#15688978C2211yescharacteristic
171C2×C47⋊#95C2211yescharacteristic
172C47×#401C2211yescharacteristic, complemented
173C47×#400C2211yescharacteristic, complemented
174C47×#397C2211yescharacteristic, complemented
175C47×#397C2211yescharacteristic, complemented
176C47×#388C2211yescharacteristic, complemented
177C47×#388C2211yescharacteristic, complemented
178C47×#387C2211yescharacteristic, complemented
179C47×#386C2211yescharacteristic
180C47×#386C2211yescharacteristic
181C47×#386C2211yescharacteristic
182C47×#385C2211yescharacteristic
183C47×#383C2211yescharacteristic, complemented
184C47×#380C2211yescharacteristic
185C4×C22⋊C4×C47C2211yescharacteristic
186C2×#95×C47C2211yescharacteristic
187C24×D47C2311yescharacteristic
188C2×#10625352—24no—
189C2×#10625352—42no—
190C2×#10625352—42no—
191C22×Dic94C2311yescharacteristic
192C22×Dic94C2311yescharacteristic
193C22×D188C2311yescharacteristic
194C22×D188C2311yescharacteristic
195C22×D188C2311yescharacteristic
196C22×D188C2311yescharacteristic
197C22×D188C2311yescharacteristic
198C22×C22⋊D47C2311yescharacteristic
199C22×C22⋊D47C2311yescharacteristic
200C22×C22⋊D47C2311yescharacteristic
201C22×C22⋊D47C2311yescharacteristic
202C22×C22⋊D47C2311yescharacteristic
203C22×C22⋊D47C2311yescharacteristic
204C23×Dic47C2311yescharacteristic
205C23×Dic47C2311yescharacteristic
206C23×Dic47C2311yescharacteristic
207C23×Dic47C2311yescharacteristic
208C22×C4×D47C2311yescharacteristic
209C22×C4×D47C2311yescharacteristic
210#13094019—42no—
211#13094012—42no—
212#13094010—42no—
213#13094008—24no—
214#13094001—42no—
215#13093998—42no—
216#13093997—42no—
217#13093996—42no—
218#13093994—42no—
219#13093994—42no—
220#13093992—42no—
221C4×C22⋊D47—42no—
222#13093980—42no—
223C2×C4⋊Dic47C2311yescharacteristic
224C2×C4⋊Dic47C2311yescharacteristic
225C2×C4⋊Dic47C2311yescharacteristic
226C2×C4⋊Dic47C2311yescharacteristic
227C2×C4⋊Dic47C2311yescharacteristic
228C2×C4⋊Dic47C2311yescharacteristic
229C2×Dic47⋊C4—42no—
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×C22⋊Dic47C2311yescharacteristic
245C2×C22⋊Dic47C2311yescharacteristic
246C2×C22⋊Dic47C2311yescharacteristic
247C2×C22⋊Dic47C2311yescharacteristic
248C2×C22⋊Dic47C2311yescharacteristic
249C2×(C2×D47)⋊C4—24no—
250C2×(C2×D47)⋊C4—42no—
251C2×(C2×D47)⋊C4—42no—
252C2×(C2×D47)⋊C4C2311yescharacteristic
253C2×(C2×D47)⋊C4C2311yescharacteristic
254C2×(C2×D47)⋊C4C2311yescharacteristic
255C2×(C2×D47)⋊C4C2311yescharacteristic
256C2×(C2×D47)⋊C4C2311yescharacteristic
257C2×(C2×D47)⋊C4C2311yescharacteristic
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
283C2×(C2×D47)⋊C4C2311yescharacteristic
284C2×(C2×D47)⋊C4C2311yescharacteristic
285C2×(C2×D47)⋊C4C2311yescharacteristic
286C2×(C2×D47)⋊C4C2311yescharacteristic
287C2×(C2×D47)⋊C4C2311yescharacteristic
288C2×(C2×D47)⋊C4C2311yescharacteristic
289C2×(C2×D47)⋊C4C2311yescharacteristic
290C2×(C2×D47)⋊C4C2311yescharacteristic
291C2×(C2×D47)⋊C4C2311yescharacteristic
292C2×C4×Dic47—42no—
293C2×C4×Dic47C2311yescharacteristic
294C2×C4×Dic47C2311yescharacteristic
295C2×C4×Dic47C2311yescharacteristic
296C2×C4×Dic47C2311yescharacteristic
297C2×C4×Dic47C2311yescharacteristic
298C2×C4×Dic47C2311yescharacteristic
299C2×C4×Dic47C2311yescharacteristic
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
329C23×C4×C47C2311yescharacteristic
330C23×C4×C47C2311yescharacteristic
331C23×C4×C47C2311yescharacteristic
332C2×C4⋊C4×C47C2311yescharacteristic
333C2×C4⋊C4×C47C2311yescharacteristic
334C2×C4⋊C4×C47C2311yescharacteristic
335C2×C4⋊C4×C47C2311yescharacteristic
336C2×C22⋊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×C42×C47C2311yescharacteristic
346C2×C42×C47C2311yescharacteristic
347#95×C47C2311yescharacteristic
348#95×C47C2311yescharacteristic
349#95×C47C2311yescharacteristic
350#95×C47C2311yescharacteristic
351#95×C47C2311yescharacteristic
352#95×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
365C23×D47—22no—
366C23×D47—22no—
367C23×D47—22no—
368C23×D47—41no—
369C23×D47—41no—
370C23×D47—41no—
371C23×D47—41no—
372C23×D47C2411yescharacteristic
373C23×D47C2411yescharacteristic
374C23×D47C2411yescharacteristic
375C23×D47C2411yescharacteristic
376C2×D4×C47—22no—
377C2×D4×C47—22no—
378C2×D4×C47—22no—
379C22×C4×C47—22no—
380C22×C4×C47—22no—
381C22×C4×C47—22no—
382C22×C4×C47—41no—
383C22×C4×C47—41no—
384C22×C4×C47—41no—
385C22×C4×C47—41no—
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
400C22×C4×C47C2411yescharacteristic
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—22no—
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—
419C22×Dic47—22no—
420C22×Dic47—22no—
421C22×Dic47—22no—
422C22×Dic47—22no—
423C22×Dic47—22no—
424C22×Dic47—22no—
425C22×Dic47—41no—
426C22×Dic47—41no—
427C22×Dic47—41no—
428C22×Dic47—41no—
429C22×Dic47—41no—
430C22×Dic47#4114yes—
431C22×Dic47C2411yescharacteristic
432C22×Dic47C2411yescharacteristic
433C22×Dic47C2411yescharacteristic
434C22×Dic47C2411yescharacteristic
435C22×Dic47C2411yescharacteristic
436C22×Dic47C2411yescharacteristic
437C22×Dic47C2411yescharacteristic
438C22×Dic47C2411yescharacteristic
439C22×Dic47C2411yescharacteristic
440C22×Dic47C2411yescharacteristic
441C22×Dic47C2411yescharacteristic
442C22×Dic47C2411yescharacteristic
443#10625352—416no—
444C2×D188—41no—
445C2×D188—41no—
446C2×D188—41no—
447C2×D188—41no—
448C2×D188—41no—
449C2×D188—41no—
450C2×D188—41no—
451C2×D188—41no—
452C2×D188—41no—
453C2×D188—41no—
454C2×D188—41no—
455C2×D188—41no—
456C2×D188—41no—
457C2×D188—41no—
458C2×D188—41no—
459C2×C4×D47—22no—
460C2×C4×D47—41no—
461C2×C4×D47—41no—
462C2×C4×D47—41no—
463C2×C4×D47—41no—
464C2×C4×D47—41no—
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—
475C22⋊C4×C47—22no—
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—
484C42×C47—41no—
485C42×C47—41no—
486C22⋊Dic47—22no—
487C22⋊Dic47—22no—
488C22⋊Dic47—41no—
489C22⋊Dic47—41no—
490C22⋊Dic47—41no—
491(C2×D47)⋊C4—22no—
492(C2×D47)⋊C4—22no—
493(C2×D47)⋊C4—22no—
494(C2×D47)⋊C4—22no—
495(C2×D47)⋊C4—22no—
496(C2×D47)⋊C4—22no—
497(C2×D47)⋊C4—22no—
498(C2×D47)⋊C4—22no—
499(C2×D47)⋊C4—22no—
500(C2×D47)⋊C4—41no—
501(C2×D47)⋊C4—41no—
502(C2×D47)⋊C4—41no—
503(C2×D47)⋊C4—41no—
504(C2×D47)⋊C4—41no—
505(C2×D47)⋊C4—41no—
506(C2×D47)⋊C4—41no—
507(C2×D47)⋊C4—41no—
508(C2×D47)⋊C4—41no—
509(C2×D47)⋊C4—41no—
510(C2×D47)⋊C4—41no—
511(C2×D47)⋊C4—41no—
512(C2×D47)⋊C4—41no—
513(C2×D47)⋊C4—41no—
514(C2×D47)⋊C4—41no—
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—
531C4⋊Dic47—22no—
532C4⋊Dic47—22no—
533C4⋊Dic47—41no—
534C4⋊Dic47—41no—
535C4⋊Dic47—41no—
536C4⋊Dic47—41no—
537Dic47⋊C4—22no—
538Dic47⋊C4—41no—
539Dic47⋊C4—41no—
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×C47C2×#4112yes—
570C23×C47H(5,𝔽2)12yes—
571C23×C47H(5,𝔽2)12yes—
572C23×C47C2511yescharacteristic
573C22×D47—21no—
574C22×D47—21no—
575C22×D47—21no—
576C22×D47—21no—
577C22×D47—21no—
578C22×D47—21no—
579C22×D47—21no—
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—21no—
599C22×D47—21no—
600C22×D47—21no—
601C22×D47—44no—
602C22×D47—44no—
603C22×D47—44no—
604C22×D47—82no—
605C22×D47—82no—
606C22×D47—82no—
607C22×D47—82no—
608D4×C47—44no—
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—21no—
643C2×C4×C47—21no—
644C2×C4×C47—21no—
645C2×C4×C47—21no—
646C2×C4×C47—21no—
647C2×C4×C47—21no—
648C2×C4×C47—44no—
649C2×C4×C47—82no—
650C2×C4×C47—82no—
651C22⋊D47—44no—
652C22⋊D47—44no—
653C22⋊D47—44no—
654C22⋊D47—82no—
655C22⋊D47—82no—
656C22⋊D47—82no—
657C2×Dic47—28no—
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—44no—
692C2×Dic47—44no—
693C2×Dic47—44no—
694C2×Dic47C2×#4112yes—
695C2×Dic47C2×#4112yes—
696C2×Dic47H(5,𝔽2)12yes—
697D188—82no—
698D188—82no—
699D188—82no—
700D188—82no—
701D188—82no—
702C4×D47—44no—
703C4×D47—82no—
704Dic94—44no—
705Dic94—82no—
706#36795—471nomaximal, Sylow
707C22×C47—22no—
708C22×C47—22no—
709C22×C47—22no—
710C22×C47—22no—
711C22×C47—22no—
712C22×C47—22no—
713C22×C47—41no—
714C22×C47—41no—
715C22×C47—41no—
716C22×C47—41no—
717C22×C47—41no—
718C22×C47—41no—
719C22×C47—41no—
720C22×C47#53814yes—
721C22×C47C22×#4111yescharacteristic
722C22×C47C2×H(5,𝔽2)11yescharacteristic
723C22×C47C2×H(5,𝔽2)11yescharacteristic
724C22×C47C2×H(5,𝔽2)11yescharacteristic
725C22×C47#58511yescharacteristic
726C22×C47#58511yescharacteristic
727C22×C47#58511yescharacteristic
728C2×D47—41no—
729C2×D47—41no—
730C2×D47—41no—
731C2×D47—41no—
732C2×D47—41no—
733C2×D47—41no—
734C2×D47—41no—
735C2×D47—41no—
736C2×D47—41no—
737C2×D47—41no—
738C2×D47—41no—
739C2×D47—41no—
740C2×D47—41no—
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—41no—
756C2×D47—88no—
757C4×C47—41no—
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—
769C4×C47—41no—
770Dic47—22no—
771Dic47—22no—
772Dic47—22no—
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#2756—471no—
795#2751—471no—
796#2733—471no—
797#2715—471no—
798#2714—471no—
799#2686—471no—
800#2622—471no—
801#2617—471no—
802#2510D4711yescharacteristic, complemented
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—24no—
814C2×C47—81no—
815C2×C47C2×#53811yescharacteristic
816C2×C47#349311yescharacteristic
817C2×C47#350611yescharacteristic
818C2×C47#353411yescharacteristic
819C2×C47#354211yescharacteristic
820C2×C47#354511yescharacteristic
821C2×C47#356011yescharacteristic
822D47—81no—
823D47—81no—
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#401C2×D4711yescharacteristic, complemented
846#400—471no—
847#400—471no—
848#400C2×D4711yescharacteristic, complemented
849#398—471no—
850#398—471no—
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#397C2×D4711yescharacteristic, complemented
861#397C2×D4711yescharacteristic, complemented
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#394—471no—
881#394—471no—
882#394—471no—
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#392—471no—
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#390—471no—
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#388—471no—
929#388—471no—
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#387C2×D4711yescharacteristic, complemented
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#386C2×D4711yescharacteristic
957#386C2×D4711yescharacteristic
958#386C2×D4711yescharacteristic
959#385—471no—
960#385—471no—
961#385—471no—
962#385—471no—
963#385—471no—
964#385—471no—
965#385—471no—
966#385C2×D4711yescharacteristic
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
977#379—471no—
978C4×C22⋊C4C2×D4711yescharacteristic
979C2×#95—471no—
980C2×#95C2×D4711yescharacteristic
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×D4—471no—
998C22×D4—471no—
999C22×D4C22×D4711yescharacteristic
1000C23×C4—471no—
1001C23×C4—471no—
1002C23×C4—471no—
1003C23×C4—471no—
1004C23×C4—471no—
1005C23×C4—471no—
1006C23×C4C22×D4711yescharacteristic
1007C23×C4C22×D4711yescharacteristic
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—471no—
1042C2×C4⋊C4—1882no—
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—471no—
1088C2×C22⋊C4—471no—
1089C2×C22⋊C4—471no—
1090C2×C22⋊C4—471no—
1091C2×C22⋊C4—471no—
1092C2×C22⋊C4—944no—
1093C2×C22⋊C4—1882no—
1094C2×C22⋊C4—1882no—
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#95C22×D4711yescharacteristic
1143#95C22×D4711yescharacteristic
1144#95C22×D4711yescharacteristic
1145#95C22×D4711yescharacteristic
1146#95C22×D4711yescharacteristic
1147#95C22×D4711yescharacteristic
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—471no—
1162C24—942no—
1163C24—942no—
1164C24—942no—
1165C24—1881no—
1166C24—1881no—
1167C24—1881no—
1168C24—1881no—
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—22no—
1179C2×D4—22no—
1180C2×D4—22no—
1181C2×D4—942no—
1182C2×D4—942no—
1183C2×D4—942no—
1184C2×D4—942no—
1185C2×D4—942no—
1186C2×D4—942no—
1187C2×D4—942no—
1188C2×D4—942no—
1189C2×D4—1881no—
1190C2×D4—1881no—
1191C2×D4—1881no—
1192C2×D4—1881no—
1193C2×D4—1881no—
1194C2×D4—1881no—
1195C2×D4—1881no—
1196C2×D4—1881no—
1197C2×D4—1881no—
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—22no—
1216C22×C4—22no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—474no—
1224C22×C4—471no—
1225C22×C4—471no—
1226C22×C4—471no—
1227C22×C4—471no—
1228C22×C4—471no—
1229C22×C4—471no—
1230C22×C4—471no—
1231C22×C4—471no—
1232C22×C4—471no—
1233C22×C4—471no—
1234C22×C4—471no—
1235C22×C4—471no—
1236C22×C4—942no—
1237C22×C4—942no—
1238C22×C4—942no—
1239C22×C4—942no—
1240C22×C4—942no—
1241C22×C4—942no—
1242C22×C4—942no—
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×C4C23×D4711yescharacteristic
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—942no—
1271C4⋊C4—942no—
1272C4⋊C4—942no—
1273C4⋊C4—1881no—
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—22no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—942no—
1300C22⋊C4—942no—
1301C22⋊C4—942no—
1302C22⋊C4—942no—
1303C22⋊C4—942no—
1304C22⋊C4—942no—
1305C22⋊C4—942no—
1306C22⋊C4—942no—
1307C22⋊C4—942no—
1308C22⋊C4—942no—
1309C22⋊C4—942no—
1310C22⋊C4—1881no—
1311C22⋊C4—1881no—
1312C22⋊C4—1881no—
1313C22⋊C4—1881no—
1314C22⋊C4—1881no—
1315C22⋊C4—1881no—
1316C22⋊C4—1881no—
1317C22⋊C4—1881no—
1318C22⋊C4—1881no—
1319C22⋊C4—1881no—
1320C22⋊C4—1881no—
1321C22⋊C4—1881no—
1322C22⋊C4—1881no—
1323C22⋊C4—1881no—
1324C22⋊C4—1881no—
1325C22⋊C4—1881no—
1326C22⋊C4—1881no—
1327C22⋊C4—1881no—
1328C22⋊C4—1881no—
1329C22⋊C4—1881no—
1330C22⋊C4—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—941no—
1365C23—941no—
1366C23—941no—
1367C23—941no—
1368C23—941no—
1369C23—941no—
1370C23—941no—
1371C23—941no—
1372C23—941no—
1373C23—941no—
1374C23—941no—
1375C23—941no—
1376C23—941no—
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—3762no—
1393C23—3762no—
1394C23—3762no—
1395C23—3762no—
1396C23—1884no—
1397C23—1884no—
1398C23—1884no—
1399C23#41×D4712yes—
1400C23#1309407012yes—
1401C23#1309407012yes—
1402C23C24×D4711yescharacteristic
1403Q8—3762no—
1404Q8—1884no—
1405D4—44no—
1406D4—3762no—
1407D4—3762no—
1408D4—3762no—
1409D4—3762no—
1410D4—3762no—
1411D4—3762no—
1412D4—3762no—
1413D4—3762no—
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—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—44no—
1457C2×C4—82no—
1458C2×C4—82no—
1459C2×C4—472no—
1460C2×C4—472no—
1461C2×C4—472no—
1462C2×C4—941no—
1463C2×C4—941no—
1464C2×C4—941no—
1465C2×C4—941no—
1466C2×C4—941no—
1467C2×C4—941no—
1468C2×C4—948no—
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—941no—
1494C2×C4—941no—
1495C2×C4—941no—
1496C2×C4—3762no—
1497C2×C4—1884no—
1498C2×C4—1884no—
1499C2×C4—1884no—
1500C2×C4—1884no—
1501C22—22no—
1502C22—22no—
1503C22—22no—
1504C22—22no—
1505C22—22no—
1506C22—22no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—3768no—
1515C22—1881no—
1516C22—1881no—
1517C22—1881no—
1518C22—1881no—
1519C22—1881no—
1520C22—1881no—
1521C22—1881no—
1522C22—1881no—
1523C22—1881no—
1524C22—1881no—
1525C22—1881no—
1526C22—1881no—
1527C22—1881no—
1528C22—1881no—
1529C22—1881no—
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#1568971214yes—
1544C22C2×#41×D4711yescharacteristic
1545C22H(5,𝔽2)×D4711yescharacteristic
1546C22C2×#1309407011yescharacteristic
1547C22C2×#1309407011yescharacteristic
1548C22#1568995811yescharacteristic
1549C22#1568995911yescharacteristic
1550C22#1568995911yescharacteristic
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C4—942no—
1565C4—942no—
1566C4—942no—
1567C4—1881no—
1568C4—1881no—
1569C4—1881no—
1570C4—1881no—
1571C4—1881no—
1572C4—1881no—
1573C4—1881no—
1574C4—1881no—
1575C4—1881no—
1576C2—24no—
1577C2—81no—
1578C2—3761no—
1579C2—3761no—
1580C2—3761no—
1581C2—3761no—
1582C2C2×#1568971211yescharacteristic
1583C2#2025710011yescharacteristic
1584C2#2025723511yescharacteristic
1585C2#2025756511yescharacteristic
1586C2#2025769711yescharacteristic
1587C2#2025774411yescharacteristic
1588C2#2025793911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2510C2
hypercenter#2510D47
hypocenterC47#36795
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2510

Complements

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

NH ≅ G/Ntype
1. #20251705C2semidirect
2. #20251685C2semidirect
3. #20251364C2semidirect
4. #20251326C2semidirect
5. #20251324C2semidirect
6. #20251097C2semidirect
7. #20251058C2semidirect
8. #20251022C2semidirect
9. #20251013C2semidirect
10. #20250957C2semidirect
11. #20250762C2semidirect
12. #20250706C2semidirect
13. #20250705C2semidirect
14. #20250634C2semidirect
15. #20250415C2semidirect
16. #20250202C2semidirect
17. #20250183C2semidirect
18. #20249787C2semidirect
19. #20249165C2semidirect
20. #20249125C2semidirect
21. #20247514C2semidirect
22. #20247138C2semidirect
23. #20247070C2semidirect
24. #20246996C2semidirect
25. #20246926C2semidirect
26. #20246771C2semidirect
27. #20246706C2semidirect
28. #20246059C2semidirect
29. #20245975C2semidirect
30. C2×#15689012C2semidirect
31. C47×#2510C2semidirect
33. C2×#13094019C22semidirect
35. C2×#13094010C22semidirect
51. #15689065C22semidirect
52. #15689064C22semidirect
53. #15689057C22semidirect
54. #15689054C22semidirect
57. #15689052C22semidirect
58. #15689052C22semidirect
67. #15689044C22semidirect
68. #15689043C22semidirect
74. #15689041C22semidirect
81. #15689039C22semidirect
88. #15689036C22semidirect
94. #15689032C22semidirect
95. #15689027C22semidirect
96. #15689027C22semidirect
97. #15689027C22semidirect
98. #15689027C22semidirect
103. #15689023C22semidirect
104. #15689023C22semidirect
105. #15689023C22semidirect
106. #15689021C22semidirect
107. #15689021C22semidirect
108. #15689018C22semidirect
109. #15689016C22semidirect
112. #15689015C22semidirect
113. #15689015C22semidirect
116. #15689014C22semidirect
117. #15689014C22semidirect
118. #15689013C22semidirect
128. #15689012C22semidirect
129. #15689012C22semidirect
130. #15689012C22semidirect
131. #15689011C22semidirect
132. #15689010C22semidirect
133. #15689009C22semidirect
134. #15689009C22semidirect
135. #15689008C22semidirect
136. #15689008C22semidirect
137. #15689006C22semidirect
138. #15689005C22semidirect
139. #15689004C22semidirect
147. #15689001C22semidirect
148. #15689001C22semidirect
154. #15689000C22semidirect
156. #15688998C22semidirect
157. #15688997C22semidirect
158. #15688997C22semidirect
159. #15688997C22semidirect
162. #15688990C22semidirect
163. #15688987C22semidirect
164. #15688985C22semidirect
166. #15688982C22semidirect
167. #15688982C22semidirect
168. #15688981C22semidirect
169. #15688981C22semidirect
172. C47×#401C22semidirect
173. C47×#400C22semidirect
174. C47×#397C22semidirect
175. C47×#397C22semidirect
176. C47×#388C22semidirect
177. C47×#388C22semidirect
178. C47×#387C22semidirect
183. C47×#383C22semidirect
802. #2510D47semidirect
845. #401C2×D47semidirect
848. #400C2×D47semidirect
860. #397C2×D47semidirect
861. #397C2×D47semidirect
930. #388C2×D47semidirect
931. #388C2×D47semidirect
940. #387C2×D47semidirect
968. #383C2×D47semidirect
981. C47#36795semidirect

Maximal subgroups

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

subgroupindex
#202517052
#202516852
#202513642
#202513262
#202513242
#202510972
#202510582
#202510222
#202510132
#202509572
#202507622
#202507062
#202507052
#202506342
#202504152
#202502022
#202501832
#202497872
#202491652
#202491252
#202475142
#202471382
#202470702
#202469962
#202469262
#202467712
#202467062
#202460592
#202459752
C2×#156890122
C47×#25102
#3679547