Finite Group Databasebeta

← #26389279

Subgroups — #26389279

Order 12032.

2404 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689717C211yesmaximal, characteristic, complemented
2C2×#15689708C211yesmaximal, characteristic, complemented
3#20251759C211yesmaximal, characteristic, complemented
4#20251752C211yesmaximal, characteristic, complemented
5#20251718C211yesmaximal, characteristic, complemented
6#20251688C211yesmaximal, characteristic, complemented
7#20249552C211yesmaximal, characteristic, complemented
8#20249541C211yesmaximal, characteristic, complemented
9#20249530C211yesmaximal, characteristic, complemented
10#20249519C211yesmaximal, characteristic, complemented
11#20248537C211yesmaximal, characteristic, complemented
12#20248522C211yesmaximal, characteristic, complemented
13#20248507C211yesmaximal, characteristic, complemented
14#20248492C211yesmaximal, characteristic, complemented
15#20248394C211yesmaximal, characteristic, complemented
16#20248350C211yesmaximal, characteristic, complemented
17#20248278C211yesmaximal, characteristic, complemented
18#20248086C211yesmaximal, characteristic, complemented
19#20248056C211yesmaximal, characteristic, complemented
20#20247718C211yesmaximal, characteristic, complemented
21#20247513C211yesmaximal, characteristic, complemented
22#20247389C211yesmaximal, characteristic, complemented
23#20247350C211yesmaximal, characteristic, complemented
24#20246935C211yesmaximal, characteristic, complemented
25#20246920C211yesmaximal, characteristic, complemented
26#20246060C211yesmaximal, characteristic, complemented
27#20246049C211yesmaximal, characteristic, complemented
28#121×Dic47C211yesmaximal, characteristic, complemented
29C2×#15689016C211yesmaximal, characteristic, complemented
30C4×(C22⋊D47)⋊C4C211yesmaximal, characteristic, complemented
31C47×#2539C211yesmaximal, characteristic, complemented
32#15689717—28no—
33#15689708—28no—
34C2×#13094019C2211yescharacteristic, complemented
35C2×#13094017C2211yescharacteristic
36C2×#13094017C2211yescharacteristic
37C2×#13094017C2211yescharacteristic, complemented
38C2×#13094015C2211yescharacteristic, complemented
39C2×#13094014C2211yescharacteristic, complemented
40C2×#13094011C2211yescharacteristic
41C2×#13094011C2211yescharacteristic
42C2×#13094010C2211yescharacteristic
43C2×#13094008C2211yescharacteristic, complemented
44C2×#13094007C2211yescharacteristic
45C2×#13094006C2211yescharacteristic
46C2×#13094006C2211yescharacteristic, complemented
47C2×#13094005C2211yescharacteristic
48C2×#13094004C2211yescharacteristic, complemented
49C2×#13094001C2211yescharacteristic
50C2×#13094001C2211yescharacteristic
51C2×#13094001C2211yescharacteristic, complemented
52C2×#13093996C2211yescharacteristic
53C2×#13093996C2211yescharacteristic
54C2×#13093996C2211yescharacteristic
55C2×#13093995C2211yescharacteristic
56C2×#13093995C2211yescharacteristic
57C2×#13093993C2211yescharacteristic
58C2×D4×Dic47C2211yescharacteristic
59C2×D4×Dic47C2211yescharacteristic
60C2×D4×Dic47C2211yescharacteristic, complemented
61C2×C4×C22⋊D47C2211yescharacteristic
62C2×(C22⋊D47)⋊C4C2211yescharacteristic
63C2×(C22⋊D47)⋊C4C2211yescharacteristic
64C22×C4⋊Dic47C2211yescharacteristic
65C22×C22⋊Dic47C2211yescharacteristic
66C22×C22⋊Dic47C2211yescharacteristic
67C22×C4×Dic47C2211yescharacteristic
68C2×C42×D47C2211yescharacteristic, complemented
69#15689061C2211yescharacteristic, complemented
70#15689061C2211yescharacteristic, complemented
71#15689055C2211yescharacteristic, complemented
72#15689055C2211yescharacteristic, complemented
73#15689054C2211yescharacteristic, complemented
74#15689054C2211yescharacteristic, complemented
75#15689049C2211yescharacteristic, complemented
76#15689049C2211yescharacteristic, complemented
77#15689048C2211yescharacteristic
78#15689048C2211yescharacteristic, complemented
79#15689046C2211yescharacteristic
80#15689046C2211yescharacteristic
81#15689046C2211yescharacteristic
82#15689046C2211yescharacteristic, complemented
83#15689044C2211yescharacteristic, complemented
84#15689044C2211yescharacteristic, complemented
85#15689039C2211yescharacteristic
86#15689039C2211yescharacteristic
87#15689039C2211yescharacteristic
88#15689039C2211yescharacteristic, complemented
89#15689037C2211yescharacteristic
90#15689037C2211yescharacteristic
91#15689037C2211yescharacteristic
92#15689037C2211yescharacteristic, complemented
93#15689035C2211yescharacteristic
94#15689035C2211yescharacteristic, complemented
95#15689031C2211yescharacteristic
96#15689031C2211yescharacteristic, complemented
97#15689029C2211yescharacteristic, complemented
98#15689029C2211yescharacteristic, complemented
99#15689028C2211yescharacteristic, complemented
100#15689026C2211yescharacteristic
101#15689026C2211yescharacteristic
102#15689026C2211yescharacteristic
103#15689026C2211yescharacteristic
104#15689026C2211yescharacteristic, complemented
105#15689022C2211yescharacteristic, complemented
106#15689022C2211yescharacteristic, complemented
107#15689022C2211yescharacteristic, complemented
108#15689021C2211yescharacteristic, complemented
109#15689021C2211yescharacteristic, complemented
110#15689019C2211yescharacteristic, complemented
111#15689017C2211yescharacteristic
112#15689017C2211yescharacteristic
113#15689017C2211yescharacteristic, complemented
114#15689017C2211yescharacteristic, complemented
115#15689016C2211yescharacteristic
116#15689016C2211yescharacteristic
117#15689016C2211yescharacteristic
118#15689016C2211yescharacteristic
119#15689016C2211yescharacteristic
120#15689016C2211yescharacteristic
121#15689016C2211yescharacteristic
122#15689016C2211yescharacteristic
123#15689016C2211yescharacteristic
124#15689016C2211yescharacteristic
125#15689016C2211yescharacteristic
126#15689016C2211yescharacteristic
127#15689016C2211yescharacteristic, complemented
128#15689016C2211yescharacteristic, complemented
129#15689016C2211yescharacteristic, complemented
130#15689016C2211yescharacteristic, complemented
131#15689011C2211yescharacteristic
132#15689011C2211yescharacteristic
133#15689011C2211yescharacteristic
134#15689011C2211yescharacteristic, complemented
135#15689011C2211yescharacteristic, complemented
136#15689011C2211yescharacteristic, complemented
137#15689009C2211yescharacteristic, complemented
138#15689009C2211yescharacteristic, complemented
139#15689003C2211yescharacteristic
140#15689003C2211yescharacteristic
141#15689003C2211yescharacteristic
142#15689003C2211yescharacteristic
143#15689003C2211yescharacteristic
144#15689003C2211yescharacteristic
145#15688999C2211yescharacteristic
146#15688999C2211yescharacteristic
147#15688999C2211yescharacteristic
148#15688999C2211yescharacteristic, complemented
149#15688999C2211yescharacteristic, complemented
150#15688999C2211yescharacteristic, complemented
151#15688998C2211yescharacteristic
152#15688998C2211yescharacteristic
153#15688998C2211yescharacteristic, complemented
154#15688998C2211yescharacteristic, complemented
155#15688988C2211yescharacteristic, complemented
156#15688986C2211yescharacteristic
157#15688983C2211yescharacteristic
158#15688980C2211yescharacteristic, complemented
159#15688979C2211yescharacteristic
160C4⋊C4×Dic47C2211yescharacteristic, complemented
161C4×Dic47⋊C4C2211yescharacteristic, complemented
162#15688974C2211yescharacteristic, complemented
163#15688974C2211yescharacteristic, complemented
164C22⋊C4×Dic47C2211yescharacteristic
165C22⋊C4×Dic47C2211yescharacteristic
166C22⋊C4×Dic47C2211yescharacteristic, complemented
167C22⋊C4×Dic47C2211yescharacteristic, complemented
168C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
169#15688970C2211yescharacteristic, complemented
170#15688970C2211yescharacteristic, complemented
171C2×C47⋊#95C2211yescharacteristic
172C2×C47⋊#95C2211yescharacteristic
173C42×Dic47C2211yescharacteristic, complemented
174C2×#123×C47C2211yescharacteristic
175C2×#123×C47C2211yescharacteristic
176C2×#121×C47C2211yescharacteristic
177C2×#120×C47C2211yescharacteristic
178C2×#120×C47C2211yescharacteristic
179C22×C22⋊C4×C47C2211yescharacteristic
180C47×#399C2211yescharacteristic
181C47×#399C2211yescharacteristic
182C47×#392C2211yescharacteristic
183C47×#392C2211yescharacteristic
184C47×#390C2211yescharacteristic
185C47×#390C2211yescharacteristic
186C47×#390C2211yescharacteristic
187C47×#390C2211yescharacteristic
188C4×C22⋊C4×C47C2211yescharacteristic
189C22×Dic94C2311yescharacteristic
190C22×Dic94C2311yescharacteristic
191C22×C22⋊D47C2311yescharacteristic
192C22×C22⋊D47C2311yescharacteristic
193C22×C22⋊D47C2311yescharacteristic
194C22×C22⋊D47C2311yescharacteristic
195C22×C22⋊D47C2311yescharacteristic
196C23×Dic47C2311yescharacteristic
197C23×Dic47C2311yescharacteristic
198C23×Dic47C2311yescharacteristic
199C23×Dic47C2311yescharacteristic
200C23×Dic47C2311yescharacteristic
201C23×Dic47C2311yescharacteristic
202C22×C4×D47C2311yescharacteristic
203C22×C4×D47C2311yescharacteristic
204C22×C4×D47C2311yescharacteristic
205#13094019—24no—
206#13094017—24no—
207#13094017—24no—
208#13094017—24no—
209#13094015—24no—
210#13094014—24no—
211#13094011—24no—
212#13094011—42no—
213#13094010—24no—
214#13094008—24no—
215#13094007—24no—
216#13094006—24no—
217#13094006—24no—
218#13094005—24no—
219#13094004—24no—
220#13094001—24no—
221#13094001—24no—
222#13094001—24no—
223#13093996—24no—
224#13093996—24no—
225#13093996—24no—
226#13093995—24no—
227#13093995—42no—
228#13093993—24no—
229D4×Dic47—24no—
230D4×Dic47—24no—
231D4×Dic47—42no—
232C4×C22⋊D47—24no—
233(C22⋊D47)⋊C4—24no—
234(C22⋊D47)⋊C4D418yescomplemented
235C2×C4⋊Dic47—24no—
236C2×C4⋊Dic47C2311yescharacteristic
237C2×C4⋊Dic47C2311yescharacteristic
238C2×C4⋊Dic47C2311yescharacteristic
239C2×C4⋊Dic47C2311yescharacteristic
240C2×C4⋊Dic47C2311yescharacteristic
241C2×C4⋊Dic47C2311yescharacteristic
242C2×C4⋊Dic47C2311yescharacteristic
243C2×C4⋊Dic47C2311yescharacteristic
244C2×C4⋊Dic47C2311yescharacteristic
245C2×C4⋊Dic47C2311yescharacteristic
246C2×C4⋊Dic47C2311yescharacteristic
247C2×C4⋊Dic47C2311yescharacteristic
248C2×C4⋊Dic47C2311yescharacteristic
249C2×C4⋊Dic47C2311yescharacteristic
250C2×Dic47⋊C4C2311yescharacteristic
251C2×Dic47⋊C4C2311yescharacteristic
252C2×Dic47⋊C4C2311yescharacteristic
253C2×Dic47⋊C4C2311yescharacteristic
254C2×Dic47⋊C4C2311yescharacteristic
255C2×Dic47⋊C4C2311yescharacteristic
256C2×Dic47⋊C4C2311yescharacteristic
257C2×Dic47⋊C4C2311yescharacteristic
258C2×Dic47⋊C4C2311yescharacteristic
259C2×Dic47⋊C4C2311yescharacteristic
260C2×Dic47⋊C4C2311yescharacteristic
261C2×C22⋊Dic47—24no—
262C2×C22⋊Dic47—42no—
263C2×C22⋊Dic47C2311yescharacteristic
264C2×C22⋊Dic47C2311yescharacteristic
265C2×C22⋊Dic47C2311yescharacteristic
266C2×C22⋊Dic47C2311yescharacteristic
267C2×C22⋊Dic47C2311yescharacteristic
268C2×C22⋊Dic47C2311yescharacteristic
269C2×C22⋊Dic47C2311yescharacteristic
270C2×C22⋊Dic47C2311yescharacteristic
271C2×C22⋊Dic47C2311yescharacteristic
272C2×C22⋊Dic47C2311yescharacteristic
273C2×C22⋊Dic47C2311yescharacteristic
274C2×C22⋊Dic47C2311yescharacteristic
275C2×C22⋊Dic47C2311yescharacteristic
276C2×C22⋊Dic47C2311yescharacteristic
277C2×C22⋊Dic47C2311yescharacteristic
278C2×C22⋊Dic47C2311yescharacteristic
279C2×C22⋊Dic47C2311yescharacteristic
280C2×C22⋊Dic47C2311yescharacteristic
281C2×C22⋊Dic47C2311yescharacteristic
282C2×C22⋊Dic47C2311yescharacteristic
283C2×C22⋊Dic47C2311yescharacteristic
284C2×C22⋊Dic47C2311yescharacteristic
285C2×C22⋊Dic47C2311yescharacteristic
286C2×C22⋊Dic47C2311yescharacteristic
287C2×C22⋊Dic47C2311yescharacteristic
288C2×C22⋊Dic47C2311yescharacteristic
289C2×C22⋊Dic47C2311yescharacteristic
290C2×C22⋊Dic47C2311yescharacteristic
291C2×C22⋊Dic47C2311yescharacteristic
292C2×(C2×D47)⋊C4C2311yescharacteristic
293C2×(C2×D47)⋊C4C2311yescharacteristic
294C2×(C2×D47)⋊C4C2311yescharacteristic
295C2×(C2×D47)⋊C4C2311yescharacteristic
296C2×(C2×D47)⋊C4C2311yescharacteristic
297C2×(C2×D47)⋊C4C2311yescharacteristic
298C2×(C2×D47)⋊C4C2311yescharacteristic
299C2×C4×Dic47—42no—
300C2×C4×Dic47C2311yescharacteristic
301C2×C4×Dic47C2311yescharacteristic
302C2×C4×Dic47C2311yescharacteristic
303C2×C4×Dic47C2311yescharacteristic
304C2×C4×Dic47C2311yescharacteristic
305C2×C4×Dic47C2311yescharacteristic
306C2×C4×Dic47C2311yescharacteristic
307C2×C4×Dic47C2311yescharacteristic
308C2×C4×Dic47C2311yescharacteristic
309C2×C4×Dic47C2311yescharacteristic
310C2×C4×Dic47C2311yescharacteristic
311C2×C4×Dic47C2311yescharacteristic
312C2×C4×Dic47C2311yescharacteristic
313C42×D47—42no—
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
332C47⋊#95C2311yescharacteristic
333C47⋊#95C2311yescharacteristic
334C47⋊#95C2311yescharacteristic
335C47⋊#95C2311yescharacteristic
336C47⋊#95C2311yescharacteristic
337C47⋊#95C2311yescharacteristic
338C47⋊#95C2311yescharacteristic
339C47⋊#95C2311yescharacteristic
340C47⋊#95C2311yescharacteristic
341C47⋊#95C2311yescharacteristic
342C47⋊#95C2311yescharacteristic
343C47⋊#95C2311yescharacteristic
344C25×C47C2311yescharacteristic
345C22×D4×C47C2311yescharacteristic
346C22×D4×C47C2311yescharacteristic
347C22×D4×C47C2311yescharacteristic
348C22×D4×C47C2311yescharacteristic
349C22×D4×C47C2311yescharacteristic
350C22×D4×C47C2311yescharacteristic
351C22×D4×C47C2311yescharacteristic
352C23×C4×C47C2311yescharacteristic
353C23×C4×C47C2311yescharacteristic
354#123×C47—24no—
355#123×C47—24no—
356#121×C47—24no—
357#120×C47—24no—
358#120×C47—24no—
359C2×C4⋊C4×C47C2311yescharacteristic
360C2×C4⋊C4×C47C2311yescharacteristic
361C2×C4⋊C4×C47C2311yescharacteristic
362C2×C4⋊C4×C47C2311yescharacteristic
363C2×C4⋊C4×C47C2311yescharacteristic
364C2×C22⋊C4×C47—24no—
365C2×C22⋊C4×C47C2311yescharacteristic
366C2×C22⋊C4×C47C2311yescharacteristic
367C2×C22⋊C4×C47C2311yescharacteristic
368C2×C22⋊C4×C47C2311yescharacteristic
369C2×C22⋊C4×C47C2311yescharacteristic
370C2×C22⋊C4×C47C2311yescharacteristic
371C2×C22⋊C4×C47C2311yescharacteristic
372C2×C22⋊C4×C47C2311yescharacteristic
373C2×C22⋊C4×C47C2311yescharacteristic
374C2×C22⋊C4×C47C2311yescharacteristic
375C2×C22⋊C4×C47C2311yescharacteristic
376C2×C22⋊C4×C47C2311yescharacteristic
377C2×C22⋊C4×C47C2311yescharacteristic
378C2×C22⋊C4×C47C2311yescharacteristic
379C2×C22⋊C4×C47C2311yescharacteristic
380C2×C22⋊C4×C47C2311yescharacteristic
381C2×C42×C47C2311yescharacteristic
382C2×C42×C47C2311yescharacteristic
383#95×C47C2311yescharacteristic
384#95×C47C2311yescharacteristic
385C24×C47—22no—
386C24×C47—22no—
387C24×C47—22no—
388C24×C47—41no—
389C24×C47—41no—
390C24×C47—41no—
391C24×C47—41no—
392C24×C47C2411yescharacteristic
393C24×C47C2411yescharacteristic
394C24×C47C2411yescharacteristic
395C24×C47C2411yescharacteristic
396C24×C47C2411yescharacteristic
397C23×D47C2411yescharacteristic
398C2×D4×C47—22no—
399C2×D4×C47—22no—
400C2×D4×C47—22no—
401C2×D4×C47—22no—
402C2×D4×C47—22no—
403C2×D4×C47—22no—
404C2×D4×C47—22no—
405C2×D4×C47—22no—
406C2×D4×C47—22no—
407C2×D4×C47—22no—
408C2×D4×C47—22no—
409C2×D4×C47—41no—
410C2×D4×C47—41no—
411C2×D4×C47—41no—
412C2×D4×C47—41no—
413C2×D4×C47—41no—
414C2×D4×C47—41no—
415C2×D4×C47—41no—
416C2×D4×C47—41no—
417C2×D4×C47—41no—
418C2×D4×C47—41no—
419C22×C4×C47—22no—
420C22×C4×C47—22no—
421C22×C4×C47—22no—
422C22×C4×C47—41no—
423C22×C4×C47—41no—
424C22×C4×C47#4114yes—
425C22×C4×C47C2411yescharacteristic
426C22×C4×C47C2411yescharacteristic
427C22×C4×C47C2411yescharacteristic
428C22×C4×C47C2411yescharacteristic
429C22×C4×C47C2411yescharacteristic
430C22×C4×C47C2411yescharacteristic
431C22×C4×C47C2411yescharacteristic
432C22×C4×C47C2411yescharacteristic
433C22×C4×C47C2411yescharacteristic
434C22×C4×C47C2411yescharacteristic
435C2×C22⋊D47—22no—
436C2×C22⋊D47—22no—
437C2×C22⋊D47—22no—
438C2×C22⋊D47—22no—
439C2×C22⋊D47—22no—
440C2×C22⋊D47—22no—
441C2×C22⋊D47—41no—
442C2×C22⋊D47—41no—
443C2×C22⋊D47—41no—
444C2×C22⋊D47—41no—
445C2×C22⋊D47—41no—
446C2×C22⋊D47—41no—
447C2×C22⋊D47—41no—
448C2×C22⋊D47—41no—
449C2×C22⋊D47C2×D414yes—
450C22×Dic47—22no—
451C22×Dic47—22no—
452C22×Dic47—22no—
453C22×Dic47—22no—
454C22×Dic47—22no—
455C22×Dic47—22no—
456C22×Dic47—41no—
457C22×Dic47—41no—
458C22×Dic47—41no—
459C22×Dic47—41no—
460C22×Dic47—41no—
461C22×Dic47—41no—
462C22×Dic47—41no—
463C22×Dic47—41no—
464C22×Dic47—41no—
465C22×Dic47—41no—
466C22×Dic47—41no—
467C22×Dic47C2×D414yes—
468C22×Dic47C2411yescharacteristic
469C22×Dic47C2411yescharacteristic
470C22×Dic47C2411yescharacteristic
471C22×Dic47C2411yescharacteristic
472C22×Dic47C2411yescharacteristic
473C22×Dic47C2411yescharacteristic
474C22×Dic47C2411yescharacteristic
475C22×Dic47C2411yescharacteristic
476C22×Dic47C2411yescharacteristic
477C22×Dic47C2411yescharacteristic
478C22×Dic47C2411yescharacteristic
479C22×Dic47C2411yescharacteristic
480C22×Dic47C2411yescharacteristic
481C22×Dic47C2411yescharacteristic
482C22×Dic47C2411yescharacteristic
483C2×C4×D47—22no—
484C2×C4×D47—22no—
485C2×C4×D47—22no—
486C2×C4×D47—41no—
487C2×C4×D47—41no—
488C2×C4×D47—41no—
489C2×C4×D47—41no—
490C2×C4×D47—41no—
491C2×C4×D47C2×D414yes—
492C2×Dic94—22no—
493C2×Dic94—22no—
494C2×Dic94—41no—
495C2×Dic94—41no—
496C2×Dic94—41no—
497C2×Dic94—41no—
498C4⋊C4×C47—22no—
499C4⋊C4×C47—22no—
500C4⋊C4×C47—22no—
501C4⋊C4×C47—22no—
502C4⋊C4×C47—22no—
503C22⋊C4×C47—22no—
504C22⋊C4×C47—22no—
505C22⋊C4×C47—22no—
506C22⋊C4×C47—22no—
507C22⋊C4×C47—22no—
508C22⋊C4×C47—22no—
509C22⋊C4×C47—22no—
510C22⋊C4×C47—22no—
511C22⋊C4×C47—22no—
512C22⋊C4×C47—22no—
513C22⋊C4×C47—22no—
514C22⋊C4×C47—22no—
515C22⋊C4×C47—22no—
516C22⋊C4×C47—22no—
517C22⋊C4×C47C2×D414yes—
518C22⋊C4×C47#4114yes—
519C42×C47—41no—
520C42×C47—41no—
521C22⋊Dic47—22no—
522C22⋊Dic47—22no—
523C22⋊Dic47—22no—
524C22⋊Dic47—22no—
525C22⋊Dic47—22no—
526C22⋊Dic47—22no—
527C22⋊Dic47—22no—
528C22⋊Dic47—22no—
529C22⋊Dic47—22no—
530C22⋊Dic47—22no—
531C22⋊Dic47—22no—
532C22⋊Dic47—22no—
533C22⋊Dic47—22no—
534C22⋊Dic47—22no—
535C22⋊Dic47—22no—
536C22⋊Dic47—22no—
537C22⋊Dic47—22no—
538C22⋊Dic47—41no—
539C22⋊Dic47—41no—
540C22⋊Dic47—41no—
541C22⋊Dic47—41no—
542C22⋊Dic47—41no—
543C22⋊Dic47—41no—
544C22⋊Dic47—41no—
545C22⋊Dic47—41no—
546C22⋊Dic47—41no—
547C22⋊Dic47—41no—
548C22⋊Dic47—41no—
549C22⋊Dic47—41no—
550(C2×D47)⋊C4—22no—
551(C2×D47)⋊C4—22no—
552(C2×D47)⋊C4—22no—
553(C2×D47)⋊C4—22no—
554(C2×D47)⋊C4—22no—
555(C2×D47)⋊C4—22no—
556(C2×D47)⋊C4C2×D414yes—
557C4⋊Dic47—22no—
558C4⋊Dic47—22no—
559C4⋊Dic47—22no—
560C4⋊Dic47—22no—
561C4⋊Dic47—22no—
562C4⋊Dic47—22no—
563C4⋊Dic47—22no—
564C4⋊Dic47—22no—
565C4⋊Dic47—41no—
566C4⋊Dic47—41no—
567C4⋊Dic47—41no—
568C4⋊Dic47—41no—
569C4⋊Dic47—41no—
570C4⋊Dic47—41no—
571Dic47⋊C4—22no—
572Dic47⋊C4—22no—
573Dic47⋊C4—22no—
574Dic47⋊C4—22no—
575Dic47⋊C4—22no—
576Dic47⋊C4—22no—
577Dic47⋊C4—22no—
578Dic47⋊C4—22no—
579Dic47⋊C4—22no—
580Dic47⋊C4—22no—
581Dic47⋊C4C2×D414yes—
582C4×Dic47—22no—
583C4×Dic47—22no—
584C4×Dic47—22no—
585C4×Dic47—22no—
586C4×Dic47—22no—
587C4×Dic47—22no—
588C4×Dic47—22no—
589C4×Dic47—41no—
590C4×Dic47—41no—
591C4×Dic47—41no—
592C4×Dic47—41no—
593C4×Dic47—41no—
594C4×Dic47C2×D414yes—
595C23×C47—21no—
596C23×C47—21no—
597C23×C47—21no—
598C23×C47—21no—
599C23×C47—21no—
600C23×C47—21no—
601C23×C47—21no—
602C23×C47—21no—
603C23×C47—21no—
604C23×C47—21no—
605C23×C47—21no—
606C23×C47—21no—
607C23×C47—21no—
608C23×C47—21no—
609C23×C47—21no—
610C23×C47—21no—
611C23×C47—21no—
612C23×C47—21no—
613C23×C47—21no—
614C23×C47—21no—
615C23×C47—21no—
616C23×C47—21no—
617C23×C47—21no—
618C23×C47—21no—
619C23×C47—21no—
620C23×C47—21no—
621C23×C47—21no—
622C23×C47—21no—
623C23×C47—21no—
624C23×C47—21no—
625C23×C47—21no—
626C23×C47—21no—
627C23×C47—44no—
628C23×C47—44no—
629C23×C47—44no—
630C23×C47—82no—
631C23×C47—82no—
632C23×C47—82no—
633C23×C47—82no—
634C23×C47C22×D412yes—
635C23×C47C2×#4112yes—
636C23×C47C2×#4112yes—
637C23×C47C2511yescharacteristic
638C22×D47—21no—
639C22×D47—21no—
640C22×D47—21no—
641C22×D47—21no—
642C22×D47—21no—
643C22×D47—21no—
644C22×D47C22×D412yes—
645D4×C47—44no—
646D4×C47—44no—
647D4×C47—44no—
648D4×C47—82no—
649D4×C47—82no—
650D4×C47—82no—
651D4×C47—82no—
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—21no—
665C2×C4×C47—21no—
666C2×C4×C47—21no—
667C2×C4×C47—21no—
668C2×C4×C47—21no—
669C2×C4×C47—21no—
670C2×C4×C47—21no—
671C2×C4×C47—21no—
672C2×C4×C47—21no—
673C2×C4×C47—21no—
674C2×C4×C47—21no—
675C2×C4×C47—21no—
676C2×C4×C47—44no—
677C2×C4×C47—44no—
678C2×C4×C47C22×D412yes—
679C2×C4×C47C22×D412yes—
680C2×C4×C47C2×#4112yes—
681C2×C4×C47C2×#4112yes—
682C2×C4×C47C2×#4112yes—
683C2×C4×C47C2×#4112yes—
684C22⋊D47—28no—
685C22⋊D47—82no—
686C22⋊D47—82no—
687C22⋊D47—82no—
688C22⋊D47—82no—
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—21no—
708C2×Dic47—21no—
709C2×Dic47—21no—
710C2×Dic47—21no—
711C2×Dic47—21no—
712C2×Dic47—21no—
713C2×Dic47—21no—
714C2×Dic47—21no—
715C2×Dic47—21no—
716C2×Dic47—21no—
717C2×Dic47—21no—
718C2×Dic47—21no—
719C2×Dic47—21no—
720C2×Dic47—21no—
721C2×Dic47—21no—
722C2×Dic47—21no—
723C2×Dic47—21no—
724C2×Dic47—21no—
725C2×Dic47—21no—
726C2×Dic47—21no—
727C2×Dic47—21no—
728C2×Dic47—21no—
729C2×Dic47—21no—
730C2×Dic47—44no—
731C2×Dic47—44no—
732C2×Dic47—82no—
733C2×Dic47—82no—
734C2×Dic47—82no—
735C2×Dic47—82no—
736C2×Dic47C22×D412yes—
737C2×Dic47C22×D412yes—
738C2×Dic47C22×D412yes—
739C2×Dic47H(5,𝔽2)12yes—
740C4×D47—44no—
741C4×D47—44no—
742C4×D47—44no—
743Dic94—82no—
744Dic94—82no—
745#35009—471nomaximal, Sylow
746C22×C47—22no—
747C22×C47—22no—
748C22×C47—22no—
749C22×C47—22no—
750C22×C47—22no—
751C22×C47—22no—
752C22×C47—41no—
753C22×C47—41no—
754C22×C47—41no—
755C22×C47—41no—
756C22×C47—41no—
757C22×C47—41no—
758C22×C47—41no—
759C22×C47—41no—
760C22×C47—41no—
761C22×C47—41no—
762C22×C47—41no—
763C22×C47—41no—
764C22×C47—41no—
765C22×C47—41no—
766C22×C47—41no—
767C22×C47—41no—
768C22×C47—41no—
769C22×C47—41no—
770C22×C47—41no—
771C22×C47—41no—
772C22×C47—41no—
773C22×C47—41no—
774C22×C47—41no—
775C22×C47—41no—
776C22×C47—41no—
777C22×C47—41no—
778C22×C47—41no—
779C22×C47—41no—
780C22×C47—88no—
781C22×C47#53214yes—
782C22×C47C23×D411yescharacteristic
783C22×C47C22×#4111yescharacteristic
784C22×C47C22×#4111yescharacteristic
785C22×C47C2×H(5,𝔽2)11yescharacteristic
786C22×C47#58511yescharacteristic
787C22×C47#58511yescharacteristic
788C22×C47#58511yescharacteristic
789C2×D47—22no—
790C2×D47—22no—
791C2×D47—22no—
792C2×D47—41no—
793C2×D47—41no—
794C2×D47—41no—
795C2×D47—41no—
796C4×C47—22no—
797C4×C47—22no—
798C4×C47—22no—
799C4×C47—22no—
800C4×C47—22no—
801C4×C47—22no—
802C4×C47—41no—
803C4×C47—41no—
804C4×C47—41no—
805C4×C47—41no—
806Dic47—22no—
807Dic47—22no—
808Dic47—22no—
809Dic47—22no—
810Dic47—41no—
811Dic47—41no—
812Dic47—41no—
813Dic47—41no—
814Dic47—41no—
815Dic47—41no—
816Dic47—41no—
817Dic47—41no—
818Dic47—41no—
819Dic47—41no—
820Dic47—41no—
821C2×#539—471no—
822C2×#538—471no—
823#2861—471no—
824#2860—471no—
825#2854—471no—
826#2850—471no—
827#2664—471no—
828#2663—471no—
829#2662—471no—
830#2661—471no—
831#2560—471no—
832#2559—471no—
833#2558—471no—
834#2557—471no—
835#2549—471no—
836#2543—471no—
837#2539D4711yescharacteristic, complemented
838#2534—471no—
839#2521—471no—
840#2519—471no—
841#2488—471no—
842#2472—471no—
843#2464—471no—
844#2461—471no—
845#2425—471no—
846#2424—471no—
847#2322—471no—
848#2321—471no—
849C4×#121—471no—
850C2×#388—471no—
851C42×D4—471no—
852C2×C47—24no—
853C2×C47—81no—
854C2×C47—81no—
855C2×C47—81no—
856C2×C47—81no—
857C2×C47C2×#53211yescharacteristic
858C2×C47#345511yescharacteristic
859C2×C47#345911yescharacteristic
860C2×C47#349611yescharacteristic
861C2×C47#350011yescharacteristic
862C2×C47#351311yescharacteristic
863C2×C47#352111yescharacteristic
864D47—42no—
865#539—948no—
866#538—948no—
867C2×#126—471no—
868C2×#126—471no—
869C2×#126—471no—
870C2×#126—471no—
871C2×#125—471no—
872C2×#125—471no—
873C2×#124—471no—
874C2×#124—471no—
875C2×#124—471no—
876C2×#123—471no—
877C2×#123—471no—
878C2×#123—471no—
879C2×#123—471no—
880C2×#123—471no—
881C2×#123C2×D4711yescharacteristic
882C2×#123C2×D4711yescharacteristic
883C2×C22⋊Q8—471no—
884C2×C22⋊Q8—471no—
885C2×C22⋊Q8—471no—
886C2×C22⋊Q8—471no—
887C2×#121—471no—
888C2×#121—471no—
889C2×#121—471no—
890C2×#121—471no—
891C2×#121—471no—
892C2×#121C2×D4711yescharacteristic
893C2×#120—471no—
894C2×#120C2×D4711yescharacteristic
895C2×#120C2×D4711yescharacteristic
896C2×C4×D4—471no—
897C2×C4×D4—471no—
898C2×C4×D4—471no—
899C2×C4×D4—471no—
900C2×C4×D4—471no—
901C2×C4×D4—471no—
902C22×C4⋊C4—471no—
903C22×C22⋊C4—471no—
904C22×C22⋊C4—471no—
905C22×C22⋊C4C2×D4711yescharacteristic
906C22×C42—471no—
907C22×C42—471no—
908#400—471no—
909#400—471no—
910#399C2×D4711yescharacteristic
911#399C2×D4711yescharacteristic
912#398—471no—
913#398—471no—
914#398—471no—
915#398—471no—
916#397—471no—
917#397—471no—
918#397—471no—
919#397—471no—
920#396—471no—
921#396—471no—
922#396—471no—
923#396—471no—
924#395—471no—
925#395—471no—
926#394—471no—
927#394—471no—
928#394—471no—
929#394—471no—
930#394—471no—
931#394—471no—
932#394—471no—
933#394—471no—
934#393—471no—
935#393—471no—
936#392—471no—
937#392—471no—
938#392C2×D4711yescharacteristic
939#392C2×D4711yescharacteristic
940#391—471no—
941#391—471no—
942#391—471no—
943#390—471no—
944#390—471no—
945#390—471no—
946#390—471no—
947#390—471no—
948#390C2×D4711yescharacteristic
949#390C2×D4711yescharacteristic
950#390C2×D4711yescharacteristic
951#390C2×D4711yescharacteristic
952#389—471no—
953#389—471no—
954#389—471no—
955#389—471no—
956#389—471no—
957#389—471no—
958#388—471no—
959#388—471no—
960#388—471no—
961#388—471no—
962#388—471no—
963#388—471no—
964#388—471no—
965#388—471no—
966#388—471no—
967#388—471no—
968#388—471no—
969#388—471no—
970#388—471no—
971#388—471no—
972#388—471no—
973#388—471no—
974#388—471no—
975#388—471no—
976#388—471no—
977#388—471no—
978#388—471no—
979#388—471no—
980#388—471no—
981#388—471no—
982#388—471no—
983#388—471no—
984#387—471no—
985#387—471no—
986#386—471no—
987#386—471no—
988#386—471no—
989#386—471no—
990#386—471no—
991#386—471no—
992#386—471no—
993#386—471no—
994#386—471no—
995#386—471no—
996#386—471no—
997#386—471no—
998#385—471no—
999#385—471no—
1000#385—471no—
1001#385—471no—
1002#382—471no—
1003#381—471no—
1004#380—471no—
1005#380—471no—
1006#379—471no—
1007C4×C4⋊C4—471no—
1008C4×C4⋊C4—471no—
1009C4×C4⋊C4—471no—
1010C4×C4⋊C4—471no—
1011C4×C22⋊C4—471no—
1012C4×C22⋊C4—471no—
1013C4×C22⋊C4—471no—
1014C4×C22⋊C4—471no—
1015C4×C22⋊C4—471no—
1016C4×C22⋊C4—471no—
1017C4×C22⋊C4—471no—
1018C4×C22⋊C4C2×D4711yescharacteristic
1019C2×#95—471no—
1020C2×#95—471no—
1021C43—471no—
1022C47#3500911yescharacteristic, complemented, Sylow
1023C25C22×D4711yescharacteristic
1024C22×Q8—471no—
1025C22×Q8—471no—
1026C22×D4—471no—
1027C22×D4—471no—
1028C22×D4—471no—
1029C22×D4—471no—
1030C22×D4—471no—
1031C22×D4C22×D4711yescharacteristic
1032C22×D4C22×D4711yescharacteristic
1033C22×D4C22×D4711yescharacteristic
1034C22×D4C22×D4711yescharacteristic
1035C22×D4C22×D4711yescharacteristic
1036C22×D4C22×D4711yescharacteristic
1037C22×D4C22×D4711yescharacteristic
1038C23×C4—471no—
1039C23×C4—471no—
1040C23×C4—471no—
1041C23×C4—471no—
1042C23×C4—471no—
1043C23×C4—471no—
1044C23×C4—471no—
1045C23×C4—471no—
1046C23×C4—471no—
1047C23×C4C22×D4711yescharacteristic
1048C23×C4C22×D4711yescharacteristic
1049#126—944no—
1050#126—944no—
1051#126—944no—
1052#126—944no—
1053#125—944no—
1054#125—944no—
1055#124—944no—
1056#124—944no—
1057#124—1882no—
1058#123—24no—
1059#123—24no—
1060#123—944no—
1061#123—944no—
1062#123—944no—
1063#123—944no—
1064#123—944no—
1065C22⋊Q8—944no—
1066C22⋊Q8—944no—
1067C22⋊Q8—944no—
1068C22⋊Q8—944no—
1069#121—24no—
1070#121—944no—
1071#121—944no—
1072#121—944no—
1073#121—944no—
1074#121—1882no—
1075#120—24no—
1076#120—24no—
1077#120—944no—
1078C4×D4—478no—
1079C4×D4—944no—
1080C4×D4—944no—
1081C4×D4—944no—
1082C4×D4—944no—
1083C4×D4—1882no—
1084C2×C4⋊C4—471no—
1085C2×C4⋊C4—471no—
1086C2×C4⋊C4—471no—
1087C2×C4⋊C4—471no—
1088C2×C4⋊C4—471no—
1089C2×C4⋊C4—471no—
1090C2×C4⋊C4—471no—
1091C2×C4⋊C4—471no—
1092C2×C4⋊C4—471no—
1093C2×C4⋊C4—471no—
1094C2×C4⋊C4—471no—
1095C2×C4⋊C4—471no—
1096C2×C4⋊C4—471no—
1097C2×C4⋊C4—471no—
1098C2×C4⋊C4—471no—
1099C2×C4⋊C4—471no—
1100C2×C4⋊C4—471no—
1101C2×C4⋊C4—471no—
1102C2×C4⋊C4—471no—
1103C2×C4⋊C4—471no—
1104C2×C4⋊C4—471no—
1105C2×C4⋊C4—471no—
1106C2×C4⋊C4—471no—
1107C2×C4⋊C4—471no—
1108C2×C4⋊C4—471no—
1109C2×C4⋊C4—944no—
1110C2×C4⋊C4C22×D4711yescharacteristic
1111C2×C4⋊C4C22×D4711yescharacteristic
1112C2×C4⋊C4C22×D4711yescharacteristic
1113C2×C4⋊C4C22×D4711yescharacteristic
1114C2×C4⋊C4C22×D4711yescharacteristic
1115C2×C22⋊C4—24no—
1116C2×C22⋊C4—471no—
1117C2×C22⋊C4—471no—
1118C2×C22⋊C4—471no—
1119C2×C22⋊C4—471no—
1120C2×C22⋊C4—471no—
1121C2×C22⋊C4—471no—
1122C2×C22⋊C4—471no—
1123C2×C22⋊C4—471no—
1124C2×C22⋊C4—471no—
1125C2×C22⋊C4—471no—
1126C2×C22⋊C4—471no—
1127C2×C22⋊C4—471no—
1128C2×C22⋊C4—471no—
1129C2×C22⋊C4—471no—
1130C2×C22⋊C4—471no—
1131C2×C22⋊C4—471no—
1132C2×C22⋊C4—471no—
1133C2×C22⋊C4—471no—
1134C2×C22⋊C4—471no—
1135C2×C22⋊C4—471no—
1136C2×C22⋊C4—471no—
1137C2×C22⋊C4—471no—
1138C2×C22⋊C4—471no—
1139C2×C22⋊C4—471no—
1140C2×C22⋊C4—471no—
1141C2×C22⋊C4—471no—
1142C2×C22⋊C4—471no—
1143C2×C22⋊C4—471no—
1144C2×C22⋊C4—471no—
1145C2×C22⋊C4—471no—
1146C2×C22⋊C4—471no—
1147C2×C22⋊C4—471no—
1148C2×C22⋊C4—471no—
1149C2×C22⋊C4—471no—
1150C2×C22⋊C4—471no—
1151C2×C22⋊C4—471no—
1152C2×C22⋊C4—944no—
1153C2×C22⋊C4—1882no—
1154C2×C22⋊C4C22×D4711yescharacteristic
1155C2×C22⋊C4C22×D4711yescharacteristic
1156C2×C22⋊C4C22×D4711yescharacteristic
1157C2×C22⋊C4C22×D4711yescharacteristic
1158C2×C22⋊C4C22×D4711yescharacteristic
1159C2×C22⋊C4C22×D4711yescharacteristic
1160C2×C22⋊C4C22×D4711yescharacteristic
1161C2×C22⋊C4C22×D4711yescharacteristic
1162C2×C22⋊C4C22×D4711yescharacteristic
1163C2×C22⋊C4C22×D4711yescharacteristic
1164C2×C22⋊C4C22×D4711yescharacteristic
1165C2×C22⋊C4C22×D4711yescharacteristic
1166C2×C22⋊C4C22×D4711yescharacteristic
1167C2×C22⋊C4C22×D4711yescharacteristic
1168C2×C22⋊C4C22×D4711yescharacteristic
1169C2×C22⋊C4C22×D4711yescharacteristic
1170C2×C42—471no—
1171C2×C42—471no—
1172C2×C42—471no—
1173C2×C42—471no—
1174C2×C42—471no—
1175C2×C42—471no—
1176C2×C42—471no—
1177C2×C42—471no—
1178C2×C42—471no—
1179C2×C42—471no—
1180C2×C42—471no—
1181C2×C42—471no—
1182C2×C42—471no—
1183C2×C42—1882no—
1184C2×C42—1882no—
1185C2×C42C22×D4711yescharacteristic
1186C2×C42C22×D4711yescharacteristic
1187#95—471no—
1188#95—471no—
1189#95—471no—
1190#95—471no—
1191#95—471no—
1192#95—471no—
1193#95—471no—
1194#95—471no—
1195#95—471no—
1196#95—471no—
1197#95—471no—
1198#95—471no—
1199#95—471no—
1200#95—471no—
1201#95—471no—
1202#95—471no—
1203#95—471no—
1204#95—471no—
1205#95—471no—
1206#95—471no—
1207#95—471no—
1208#95—471no—
1209#95—471no—
1210#95—471no—
1211#95—471no—
1212#95—471no—
1213#95—471no—
1214#95—471no—
1215#95—471no—
1216#95—471no—
1217#95C22×D4711yescharacteristic
1218#95C22×D4711yescharacteristic
1219C24—22no—
1220C24—22no—
1221C24—22no—
1222C24—41no—
1223C24—41no—
1224C24—41no—
1225C24—41no—
1226C24—471no—
1227C24C23×D4711yescharacteristic
1228C24C23×D4711yescharacteristic
1229C24C23×D4711yescharacteristic
1230C24C23×D4711yescharacteristic
1231C24C23×D4711yescharacteristic
1232C2×Q8—942no—
1233C2×Q8—942no—
1234C2×Q8—1881no—
1235C2×Q8—1881no—
1236C2×Q8—1881no—
1237C2×Q8—1881no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—22no—
1241C2×D4—22no—
1242C2×D4—22no—
1243C2×D4—22no—
1244C2×D4—22no—
1245C2×D4—22no—
1246C2×D4—22no—
1247C2×D4—22no—
1248C2×D4—22no—
1249C2×D4—41no—
1250C2×D4—41no—
1251C2×D4—41no—
1252C2×D4—41no—
1253C2×D4—41no—
1254C2×D4—41no—
1255C2×D4—41no—
1256C2×D4—41no—
1257C2×D4—41no—
1258C2×D4—41no—
1259C2×D4—474no—
1260C2×D4—942no—
1261C2×D4—942no—
1262C2×D4—942no—
1263C2×D4—942no—
1264C2×D4—942no—
1265C2×D4—942no—
1266C2×D4—1881no—
1267C2×D4—1881no—
1268C2×D4—1881no—
1269C2×D4—1881no—
1270C2×D4—1881no—
1271C2×D4—1881no—
1272C2×D4—1881no—
1273C2×D4—1881no—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—41no—
1278C22×C4—41no—
1279C22×C4—471no—
1280C22×C4—471no—
1281C22×C4—471no—
1282C22×C4—471no—
1283C22×C4—474no—
1284C22×C4—474no—
1285C22×C4—471no—
1286C22×C4—471no—
1287C22×C4—471no—
1288C22×C4—471no—
1289C22×C4—471no—
1290C22×C4—471no—
1291C22×C4—471no—
1292C22×C4—471no—
1293C22×C4—471no—
1294C22×C4—471no—
1295C22×C4—471no—
1296C22×C4—942no—
1297C22×C4—942no—
1298C22×C4—942no—
1299C22×C4—942no—
1300C22×C4—942no—
1301C22×C4—942no—
1302C22×C4—942no—
1303C22×C4—942no—
1304C22×C4—942no—
1305C22×C4—1881no—
1306C22×C4—1881no—
1307C22×C4—1881no—
1308C22×C4—1881no—
1309C22×C4—1881no—
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#1062535214yes—
1322C22×C4C23×D4711yescharacteristic
1323C22×C4C23×D4711yescharacteristic
1324C22×C4C23×D4711yescharacteristic
1325C22×C4C23×D4711yescharacteristic
1326C22×C4C23×D4711yescharacteristic
1327C22×C4C23×D4711yescharacteristic
1328C22×C4C23×D4711yescharacteristic
1329C22×C4C23×D4711yescharacteristic
1330C22×C4C23×D4711yescharacteristic
1331C22×C4C23×D4711yescharacteristic
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—22no—
1336C4⋊C4—22no—
1337C4⋊C4—474no—
1338C4⋊C4—942no—
1339C4⋊C4—942no—
1340C4⋊C4—942no—
1341C4⋊C4—942no—
1342C4⋊C4—942no—
1343C4⋊C4—942no—
1344C4⋊C4—942no—
1345C4⋊C4—942no—
1346C4⋊C4—942no—
1347C4⋊C4—942no—
1348C4⋊C4—942no—
1349C4⋊C4—942no—
1350C4⋊C4—942no—
1351C4⋊C4—942no—
1352C4⋊C4—942no—
1353C4⋊C4—942no—
1354C4⋊C4—942no—
1355C4⋊C4—942no—
1356C4⋊C4—1881no—
1357C4⋊C4—1881no—
1358C4⋊C4—1881no—
1359C4⋊C4—1881no—
1360C4⋊C4—1881no—
1361C4⋊C4—1881no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—22no—
1366C22⋊C4—22no—
1367C22⋊C4—22no—
1368C22⋊C4—22no—
1369C22⋊C4—22no—
1370C22⋊C4—22no—
1371C22⋊C4—22no—
1372C22⋊C4—22no—
1373C22⋊C4—22no—
1374C22⋊C4—22no—
1375C22⋊C4—22no—
1376C22⋊C4—474no—
1377C22⋊C4—942no—
1378C22⋊C4—942no—
1379C22⋊C4—942no—
1380C22⋊C4—942no—
1381C22⋊C4—942no—
1382C22⋊C4—942no—
1383C22⋊C4—942no—
1384C22⋊C4—942no—
1385C22⋊C4—942no—
1386C22⋊C4—942no—
1387C22⋊C4—942no—
1388C22⋊C4—942no—
1389C22⋊C4—942no—
1390C22⋊C4—942no—
1391C22⋊C4—942no—
1392C22⋊C4—942no—
1393C22⋊C4—942no—
1394C22⋊C4—942no—
1395C22⋊C4—942no—
1396C22⋊C4—942no—
1397C22⋊C4—942no—
1398C22⋊C4—942no—
1399C22⋊C4—942no—
1400C22⋊C4—1881no—
1401C22⋊C4—1881no—
1402C22⋊C4—1881no—
1403C22⋊C4—1881no—
1404C22⋊C4—1881no—
1405C22⋊C4—1881no—
1406C22⋊C4—1881no—
1407C22⋊C4—1881no—
1408C22⋊C4—1881no—
1409C22⋊C4—1881no—
1410C22⋊C4—1881no—
1411C22⋊C4—1881no—
1412C22⋊C4D4×D4714yes—
1413C22⋊C4#1062535214yes—
1414C42—41no—
1415C42—41no—
1416C42—474no—
1417C42—942no—
1418C42—942no—
1419C42—942no—
1420C42—942no—
1421C42—942no—
1422C42—942no—
1423C42—942no—
1424C42—1881no—
1425C42—1881no—
1426C42—1881no—
1427C42—1881no—
1428C42—1881no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—44no—
1462C23—44no—
1463C23—44no—
1464C23—82no—
1465C23—82no—
1466C23—82no—
1467C23—82no—
1468C23—472no—
1469C23—941no—
1470C23—941no—
1471C23—941no—
1472C23—941no—
1473C23—941no—
1474C23—941no—
1475C23C2×D4×D4712yes—
1476C23C2×#1062535212yes—
1477C23C2×#1062535212yes—
1478C23C24×D4711yescharacteristic
1479Q8—3762no—
1480Q8—3762no—
1481D4—44no—
1482D4—44no—
1483D4—44no—
1484D4—82no—
1485D4—82no—
1486D4—82no—
1487D4—82no—
1488D4—948no—
1489D4—3762no—
1490D4—3762no—
1491D4—3762no—
1492D4—3762no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—44no—
1518C2×C4—44no—
1519C2×C4—472no—
1520C2×C4—472no—
1521C2×C4—472no—
1522C2×C4—472no—
1523C2×C4—941no—
1524C2×C4—941no—
1525C2×C4—941no—
1526C2×C4—941no—
1527C2×C4—941no—
1528C2×C4—941no—
1529C2×C4—941no—
1530C2×C4—941no—
1531C2×C4—941no—
1532C2×C4—941no—
1533C2×C4—941no—
1534C2×C4—941no—
1535C2×C4—941no—
1536C2×C4—941no—
1537C2×C4—941no—
1538C2×C4—941no—
1539C2×C4—941no—
1540C2×C4—941no—
1541C2×C4—941no—
1542C2×C4—941no—
1543C2×C4—941no—
1544C2×C4—941no—
1545C2×C4—941no—
1546C2×C4—941no—
1547C2×C4—941no—
1548C2×C4—941no—
1549C2×C4—941no—
1550C2×C4—941no—
1551C2×C4—941no—
1552C2×C4—941no—
1553C2×C4—941no—
1554C2×C4—941no—
1555C2×C4—941no—
1556C2×C4—941no—
1557C2×C4—941no—
1558C2×C4—941no—
1559C2×C4—941no—
1560C2×C4—941no—
1561C2×C4—941no—
1562C2×C4—941no—
1563C2×C4—941no—
1564C2×C4—3762no—
1565C2×C4—3762no—
1566C2×C4—3762no—
1567C2×C4—3762no—
1568C2×C4—1884no—
1569C2×C4—1884no—
1570C2×C4—1884no—
1571C2×C4—1884no—
1572C2×C4—1884no—
1573C2×C4C2×D4×D4712yes—
1574C2×C4C2×D4×D4712yes—
1575C2×C4C2×#1062535212yes—
1576C2×C4C2×#1062535212yes—
1577C2×C4C2×#1062535212yes—
1578C2×C4C2×#1062535212yes—
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—88no—
1614C22—942no—
1615C22—942no—
1616C22—942no—
1617C22—1881no—
1618C22—1881no—
1619C22—1881no—
1620C22—1881no—
1621C22#1568967114yes—
1622C22C22×D4×D4711yescharacteristic
1623C22C22×#1062535211yescharacteristic
1624C22C22×#1062535211yescharacteristic
1625C22H(5,𝔽2)×D4711yescharacteristic
1626C22#1568995811yescharacteristic
1627C22#1568995911yescharacteristic
1628C22#1568995911yescharacteristic
1629C4—22no—
1630C4—22no—
1631C4—22no—
1632C4—22no—
1633C4—22no—
1634C4—22no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—942no—
1640C4—942no—
1641C4—942no—
1642C4—942no—
1643C4—1881no—
1644C4—1881no—
1645C4—1881no—
1646C4—1881no—
1647C4—1881no—
1648C4—1881no—
1649C4—1881no—
1650C4—1881no—
1651C4—1881no—
1652C4—1881no—
1653C4—1881no—
1654C2—24no—
1655C2—81no—
1656C2—81no—
1657C2—81no—
1658C2—81no—
1659C2—1882no—
1660C2C2×#1568967111yescharacteristic
1661C2#2025677611yescharacteristic
1662C2#2025679411yescharacteristic
1663C2#2025714811yescharacteristic
1664C2#2025717411yescharacteristic
1665C2#2025731711yescharacteristic
1666C2#2025744511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2539C2
hypercenter#2539D47
hypocenterC47#35009
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2539

Complements

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

NH ≅ G/Ntype
1. C2×#15689717C2semidirect
2. C2×#15689708C2semidirect
3. #20251759C2semidirect
4. #20251752C2semidirect
5. #20251718C2semidirect
6. #20251688C2semidirect
7. #20249552C2semidirect
8. #20249541C2semidirect
9. #20249530C2semidirect
10. #20249519C2semidirect
11. #20248537C2semidirect
12. #20248522C2semidirect
13. #20248507C2semidirect
14. #20248492C2semidirect
15. #20248394C2semidirect
16. #20248350C2semidirect
17. #20248278C2semidirect
18. #20248086C2semidirect
19. #20248056C2semidirect
20. #20247718C2semidirect
21. #20247513C2semidirect
22. #20247389C2semidirect
23. #20247350C2semidirect
24. #20246935C2semidirect
25. #20246920C2semidirect
26. #20246060C2semidirect
27. #20246049C2semidirect
28. #121×Dic47C2semidirect
29. C2×#15689016C2semidirect
30. C4×(C22⋊D47)⋊C4C2semidirect
31. C47×#2539C2semidirect
34. C2×#13094019C22semidirect
37. C2×#13094017C22semidirect
38. C2×#13094015C22semidirect
39. C2×#13094014C22semidirect
43. C2×#13094008C22semidirect
46. C2×#13094006C22semidirect
48. C2×#13094004C22semidirect
51. C2×#13094001C22semidirect
60. C2×D4×Dic47C22semidirect
68. C2×C42×D47C22semidirect
69. #15689061C22semidirect
70. #15689061C22semidirect
71. #15689055C22semidirect
72. #15689055C22semidirect
73. #15689054C22semidirect
74. #15689054C22semidirect
75. #15689049C22semidirect
76. #15689049C22semidirect
78. #15689048C22semidirect
82. #15689046C22semidirect
83. #15689044C22semidirect
84. #15689044C22semidirect
88. #15689039C22semidirect
92. #15689037C22semidirect
94. #15689035C22semidirect
96. #15689031C22semidirect
97. #15689029C22semidirect
98. #15689029C22semidirect
99. #15689028C22semidirect
104. #15689026C22semidirect
105. #15689022C22semidirect
106. #15689022C22semidirect
107. #15689022C22semidirect
108. #15689021C22semidirect
109. #15689021C22semidirect
110. #15689019C22semidirect
113. #15689017C22semidirect
114. #15689017C22semidirect
127. #15689016C22semidirect
128. #15689016C22semidirect
129. #15689016C22semidirect
130. #15689016C22semidirect
134. #15689011C22semidirect
135. #15689011C22semidirect
136. #15689011C22semidirect
137. #15689009C22semidirect
138. #15689009C22semidirect
148. #15688999C22semidirect
149. #15688999C22semidirect
150. #15688999C22semidirect
153. #15688998C22semidirect
154. #15688998C22semidirect
155. #15688988C22semidirect
158. #15688980C22semidirect
160. C4⋊C4×Dic47C22semidirect
161. C4×Dic47⋊C4C22semidirect
162. #15688974C22semidirect
163. #15688974C22semidirect
166. C22⋊C4×Dic47C22semidirect
167. C22⋊C4×Dic47C22semidirect
168. C4×(C2×D47)⋊C4C22semidirect
169. #15688970C22semidirect
170. #15688970C22semidirect
173. C42×Dic47C22semidirect
234. (C22⋊D47)⋊C4D4semidirect
837. #2539D47semidirect
1022. C47#35009semidirect

Maximal subgroups

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

subgroupindex
C2×#156897172
C2×#156897082
#202517592
#202517522
#202517182
#202516882
#202495522
#202495412
#202495302
#202495192
#202485372
#202485222
#202485072
#202484922
#202483942
#202483502
#202482782
#202480862
#202480562
#202477182
#202475132
#202473892
#202473502
#202469352
#202469202
#202460602
#202460492
#121×Dic472
C2×#156890162
C4×(C22⋊D47)⋊C42
C47×#25392
#3500947