Finite Group Databasebeta

← D47×#2407 #26384583

Subgroups — D47×#2407 #26384583

Order 12032.

5998 conjugacy classes of subgroups.

The subgroup lattice has 1536 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#41×D47C211yesmaximal, characteristic, complemented
2C2×C22⋊Q8×D47C211yesmaximal, characteristic, complemented
3C2×#121×D47C211yesmaximal, characteristic, complemented
4C2×C4×D4×D47C211yesmaximal, characteristic, complemented
5#20246736C211yesmaximal, characteristic, complemented
6#20246735C211yesmaximal, characteristic, complemented
7#20246734C211yesmaximal, characteristic, complemented
8#20246733C211yesmaximal, characteristic, complemented
9#20246732C212yesmaximal, complemented
10#20246731C211yesmaximal, characteristic, complemented
11#20246730C212yesmaximal, complemented
12#20246729C211yesmaximal, characteristic, complemented
13#20246728C212yesmaximal, complemented
14#20246727C211yesmaximal, characteristic, complemented
15#20246726C212yesmaximal, complemented
16#394×D47C212yesmaximal, complemented
17#392×D47C212yesmaximal, complemented
18#391×D47C211yesmaximal, characteristic, complemented
19#390×D47C211yesmaximal, characteristic, complemented
20#386×D47C212yesmaximal, complemented
21#385×D47C212yesmaximal, complemented
22#380×D47C211yesmaximal, characteristic, complemented
23C47×#2407C211yesmaximal, characteristic, complemented
24C22×#10625354C2211yescharacteristic, complemented
25C22×#10625350C2212yescomplemented
26C22×#10625350C2211yescharacteristic, complemented
27C22×#10625352C2212yescomplemented
28C22×#10625352C2211yescharacteristic, complemented
29C2×#41×D47—28no—
30C2×#41×D47—28no—
31C2×#41×D47—28no—
32C22×Q8×D47C2211yescharacteristic
33C22×D4×D47C2211yescharacteristic
34C22×D4×D47C2212yes—
35C22×D4×D47C2212yes—
36C22×D4×D47C2211yescharacteristic
37C23×C4×D47C2212yes—
38C23×C4×D47C2211yescharacteristic
39C23×C4×D47C2211yescharacteristic
40C2×#13094004C2211yescharacteristic, complemented
41C2×#13094003C2211yescharacteristic, complemented
42C2×#13094002C2212yescomplemented
43C2×#13094001C2212yescomplemented
44C2×#13094000C2211yescharacteristic, complemented
45C22⋊Q8×D47—28no—
46C2×#13093999C2211yescharacteristic, complemented
47C2×#13093998C2211yescharacteristic, complemented
48C2×#13093997C2212yescomplemented
49C2×#13093996C2212yescomplemented
50C2×#13093995C2211yescharacteristic, complemented
51#121×D47—28no—
52C2×C4×D188C2211yescharacteristic, complemented
53C2×D4×Dic47C2211yescharacteristic, complemented
54C2×#13093986C2211yescharacteristic, complemented
55C2×C4×C22⋊D47C2211yescharacteristic, complemented
56C2×C4×C22⋊D47C2211yescharacteristic, complemented
57C2×(C22⋊D47)⋊C4C2211yescharacteristic, complemented
58C2×(C22⋊D47)⋊C4C2211yescharacteristic, complemented
59C4×D4×D47—28no—
60C2×C4⋊C4×D47C2211yescharacteristic
61C2×C4⋊C4×D47C2212yes—
62C2×C4⋊C4×D47C2211yescharacteristic
63C2×C4⋊C4×D47C2211yescharacteristic
64C2×C22⋊C4×D47C2212yes—
65C2×C22⋊C4×D47C2212yes—
66C2×C22⋊C4×D47C2211yescharacteristic
67C2×C22⋊C4×D47C2212yes—
68C2×C22⋊C4×D47C2211yescharacteristic
69C2×C22⋊C4×D47C2212yes—
70C2×C22⋊C4×D47C2212yes—
71C2×C42×D47C2211yescharacteristic
72#15689041C2212yescomplemented
73#15689040C2212yescomplemented
74#15689039C2212yescomplemented
75#15689039C2212yescomplemented
76#15689038C2212yescomplemented
77#15689038C2212yescomplemented
78#15689037C2212yescomplemented
79#15689033C2212yescomplemented
80#15689032C2212yescomplemented
81#15689032C2212yescomplemented
82#15689032C2212yescomplemented
83#15689031C2212yescomplemented
84#15689031C2212yescomplemented
85#15689031C2212yescomplemented
86#15689030C2211yescharacteristic, complemented
87#15689029C2211yescharacteristic, complemented
88#15689028C2211yescharacteristic, complemented
89#15689027C2212yescomplemented
90#15689027C2212yescomplemented
91#15689026C2211yescharacteristic, complemented
92#15689025C2211yescharacteristic, complemented
93#15689024C2211yescharacteristic, complemented
94#15689023C2212yescomplemented
95#15689023C2212yescomplemented
96#15689003C2212yescomplemented
97#15689002C2212yescomplemented
98#15689001C2212yescomplemented
99#15689001C2212yescomplemented
100#15689000C2212yescomplemented
101#15688999C2212yescomplemented
102#15688999C2212yescomplemented
103#15688998C2212yescomplemented
104#15688997C2212yescomplemented
105#15688997C2212yescomplemented
106#15688996C2212yescomplemented
107#15688995C2212yescomplemented
108#15688994C2212yescomplemented
109#15688994C2212yescomplemented
110#15688983C2211yescharacteristic, complemented
111#15688982C2212yescomplemented
112#15688981C2212yescomplemented
113#15688980C2211yescharacteristic, complemented
114#15688980C2211yescharacteristic, complemented
115#95×D47C2212yes—
116#95×D47C2212yes—
117#95×D47C2212yes—
118C22×#41×C47C2211yescharacteristic, complemented
119C2×C22⋊Q8×C47C2211yescharacteristic, complemented
120C2×#121×C47C2211yescharacteristic, complemented
121C2×C4×D4×C47C2211yescharacteristic, complemented
122C47×#394C2212yescomplemented
123C47×#392C2212yescomplemented
124C47×#391C2211yescharacteristic, complemented
125C47×#390C2211yescharacteristic, complemented
126C47×#386C2212yescomplemented
127C47×#385C2212yescomplemented
128C47×#380C2211yescharacteristic, complemented
129C24×D47C2312yes—
130C24×D47C2311yescharacteristic
131C24×D47C2311yescharacteristic
132C2×#10625354—24no—
133C2×#10625354—24no—
134C2×#10625354—24no—
135C2×#10625350—24no—
136C2×#10625350—28no—
137C2×#10625350—24no—
138C2×#10625350—28no—
139C2×#10625350—28no—
140C2×#10625350—24no—
141C2×#10625352—24no—
142C2×#10625352—28no—
143C2×#10625352—28no—
144C2×#10625352—24no—
145C2×#10625352—28no—
146C2×#10625352—24no—
147#41×D47—2128no—
148C22×Dic94C2312yes—
149C22×Dic94C2311yescharacteristic
150C2×Q8×D47—24no—
151C2×Q8×D47—24no—
152C2×Q8×D47D418yescomplemented
153C22×D188C2311yescharacteristic
154C22×D188C2312yes—
155C22×D188C2312yes—
156C22×D188C2311yescharacteristic
157C22×C22⋊D47C2311yescharacteristic
158C22×C22⋊D47C2311yescharacteristic
159C22×C22⋊D47C2312yes—
160C22×C22⋊D47C2312yes—
161C22×C22⋊D47C2312yes—
162C22×C22⋊D47C2312yes—
163C22×C22⋊D47C2312yes—
164C2×D4×D47—24no—
165C2×D4×D47—28no—
166C2×D4×D47—28no—
167C2×D4×D47—24no—
168C2×D4×D47—28no—
169C2×D4×D47—28no—
170C2×D4×D47—28no—
171C2×D4×D47—24no—
172C2×D4×D47—24no—
173C2×D4×D47—24no—
174C2×D4×D47—44no—
175C2×D4×D47D418yescomplemented
176C23×Dic47C2312yes—
177C23×Dic47C2311yescharacteristic
178C23×Dic47C2311yescharacteristic
179C22×C4×D47—28no—
180C22×C4×D47—28no—
181C22×C4×D47—28no—
182C22×C4×D47—24no—
183C22×C4×D47—24no—
184C22×C4×D47—24no—
185C22×C4×D47—24no—
186C22×C4×D47—24no—
187C22×C4×D47D418yescomplemented
188C22×C4×D47C2312yes—
189C22×C4×D47C2311yescharacteristic
190C22×C4×D47C2312yes—
191C22×C4×D47C2312yes—
192C22×C4×D47C2312yes—
193C22×C4×D47C2311yescharacteristic
194C22×C4×D47C2311yescharacteristic
195C22×C4×D47C2311yescharacteristic
196C22×C4×D47C2311yescharacteristic
197C22×C4×D47C2312yes—
198C22×C4×D47C2311yescharacteristic
199C22×C4×D47C2311yescharacteristic
200C22×C4×D47C2311yescharacteristic
201C22×C4×D47C2311yescharacteristic
202#13094004—24no—
203#13094003—24no—
204#13094002—28no—
205#13094001—28no—
206#13094000—24no—
207#13093999—24no—
208#13093998—24no—
209#13093997—28no—
210#13093996—28no—
211#13093995—24no—
212C4×D188—24no—
213D4×Dic47—24no—
214#13093986—24no—
215C4×C22⋊D47—24no—
216C4×C22⋊D47—24no—
217(C22⋊D47)⋊C4—24no—
218(C22⋊D47)⋊C4—24no—
219C2×C4⋊Dic47C2311yescharacteristic
220C2×C4⋊Dic47C2311yescharacteristic
221C2×C4⋊Dic47C2311yescharacteristic
222C2×C4⋊Dic47C2312yes—
223C2×Dic47⋊C4C2312yes—
224C2×Dic47⋊C4C2312yes—
225C2×Dic47⋊C4C2311yescharacteristic
226C2×Dic47⋊C4C2312yes—
227C2×Dic47⋊C4C2311yescharacteristic
228C2×Dic47⋊C4C2312yes—
229C4⋊C4×D47—24no—
230C4⋊C4×D47—24no—
231C4⋊C4×D47—28no—
232C4⋊C4×D47—24no—
233C2×C22⋊Dic47C2312yes—
234C2×C22⋊Dic47C2312yes—
235C2×C22⋊Dic47C2311yescharacteristic
236C2×C22⋊Dic47C2312yes—
237C2×C22⋊Dic47C2311yescharacteristic
238C2×C22⋊Dic47C2312yes—
239C2×C22⋊Dic47C2312yes—
240C2×(C2×D47)⋊C4C2312yes—
241C2×(C2×D47)⋊C4C2312yes—
242C2×(C2×D47)⋊C4C2312yes—
243C2×(C2×D47)⋊C4C2312yes—
244C2×(C2×D47)⋊C4C2311yescharacteristic
245C2×(C2×D47)⋊C4C2312yes—
246C2×(C2×D47)⋊C4C2311yescharacteristic
247C2×(C2×D47)⋊C4C2312yes—
248C2×(C2×D47)⋊C4C2311yescharacteristic
249C2×(C2×D47)⋊C4C2311yescharacteristic
250C2×(C2×D47)⋊C4C2312yes—
251C2×(C2×D47)⋊C4C2312yes—
252C2×(C2×D47)⋊C4C2312yes—
253C2×(C2×D47)⋊C4C2312yes—
254C22⋊C4×D47—24no—
255C22⋊C4×D47—28no—
256C22⋊C4×D47—24no—
257C22⋊C4×D47—28no—
258C22⋊C4×D47—28no—
259C22⋊C4×D47—44no—
260C22⋊C4×D47—44no—
261C2×C4×Dic47C2311yescharacteristic
262C2×C4×Dic47C2311yescharacteristic
263C2×C4×Dic47C2311yescharacteristic
264C42×D47—24no—
265C47⋊#95C2312yes—
266C47⋊#95C2312yes—
267C47⋊#95C2312yes—
268C47⋊#95C2312yes—
269C47⋊#95C2312yes—
270C47⋊#95C2312yes—
271C47⋊#95C2312yes—
272C47⋊#95C2312yes—
273C47⋊#95C2312yes—
274C2×#41×C47—24no—
275C2×#41×C47—24no—
276C2×#41×C47—24no—
277C22×Q8×C47C2311yescharacteristic
278C22×D4×C47C2311yescharacteristic
279C22×D4×C47C2312yes—
280C22×D4×C47C2312yes—
281C22×D4×C47C2311yescharacteristic
282C23×C4×C47C2312yes—
283C23×C4×C47C2311yescharacteristic
284C23×C4×C47C2311yescharacteristic
285C22⋊Q8×C47—24no—
286#121×C47—24no—
287C4×D4×C47—24no—
288C2×C4⋊C4×C47C2311yescharacteristic
289C2×C4⋊C4×C47C2311yescharacteristic
290C2×C4⋊C4×C47C2311yescharacteristic
291C2×C4⋊C4×C47C2312yes—
292C2×C22⋊C4×C47C2312yes—
293C2×C22⋊C4×C47C2312yes—
294C2×C22⋊C4×C47C2311yescharacteristic
295C2×C22⋊C4×C47C2312yes—
296C2×C22⋊C4×C47C2311yescharacteristic
297C2×C22⋊C4×C47C2312yes—
298C2×C22⋊C4×C47C2312yes—
299C2×C42×C47C2311yescharacteristic
300#95×C47C2312yes—
301#95×C47C2312yes—
302#95×C47C2312yes—
303C24×C47C2412yes—
304C24×C47C2411yescharacteristic
305C24×C47C2411yescharacteristic
306C23×D47—22no—
307C23×D47—22no—
308C23×D47—24no—
309C23×D47—22no—
310C23×D47—24no—
311C23×D47—22no—
312C23×D47—22no—
313C23×D47—24no—
314C23×D47—22no—
315C23×D47—22no—
316C23×D47—22no—
317C23×D47—24no—
318C23×D47—22no—
319C23×D47—24no—
320C23×D47—22no—
321C23×D47—22no—
322C23×D47—24no—
323C23×D47—22no—
324C23×D47C2×D418yes—
325C23×D47C2×D414yes—
326C23×D47#4114yescomplemented
327C23×D47C2412yes—
328C23×D47C2411yescharacteristic
329C23×D47C2411yescharacteristic
330C23×D47C2411yescharacteristic
331#41×C47—232no—
332C2×Q8×C47—22no—
333C2×Q8×C47—22no—
334C2×Q8×C47C2×D414yescomplemented
335C2×D4×C47—22no—
336C2×D4×C47—24no—
337C2×D4×C47—24no—
338C2×D4×C47—22no—
339C2×D4×C47—24no—
340C2×D4×C47—24no—
341C2×D4×C47—24no—
342C2×D4×C47—22no—
343C2×D4×C47—22no—
344C2×D4×C47—22no—
345C2×D4×C47—42no—
346C2×D4×C47C2×D414yescomplemented
347C22×C4×C47—24no—
348C22×C4×C47—24no—
349C22×C4×C47—24no—
350C22×C4×C47—22no—
351C22×C4×C47—22no—
352C22×C4×C47—22no—
353C22×C4×C47—22no—
354C22×C4×C47—22no—
355C22×C4×C47C2×D414yescomplemented
356C22×C4×C47C2411yescharacteristic
357C22×C4×C47C2412yes—
358C22×C4×C47C2411yescharacteristic
359C22×C4×C47C2412yes—
360C22×C4×C47C2411yescharacteristic
361C22×C4×C47C2412yes—
362C22×C4×C47C2411yescharacteristic
363C22×C4×C47C2411yescharacteristic
364C2×C22⋊D47—22no—
365C2×C22⋊D47—24no—
366C2×C22⋊D47—24no—
367C2×C22⋊D47—22no—
368C2×C22⋊D47—22no—
369C2×C22⋊D47—24no—
370C2×C22⋊D47—24no—
371C2×C22⋊D47—22no—
372C2×C22⋊D47—24no—
373C2×C22⋊D47—24no—
374C2×C22⋊D47—24no—
375C2×C22⋊D47—24no—
376C2×C22⋊D47—24no—
377C2×C22⋊D47—24no—
378C2×C22⋊D47—24no—
379C2×C22⋊D47—24no—
380C2×C22⋊D47—22no—
381C2×C22⋊D47—22no—
382C2×C22⋊D47—42no—
383C2×C22⋊D47—42no—
384C2×C22⋊D47C2×D418yescomplemented
385C22×Dic47—24no—
386C22×Dic47—24no—
387C22×Dic47—24no—
388C22×Dic47—22no—
389C22×Dic47—22no—
390C22×Dic47—22no—
391C22×Dic47—22no—
392C22×Dic47—22no—
393C22×Dic47C2×D414yescomplemented
394C22×Dic47C2412yes—
395C22×Dic47C2411yescharacteristic
396C22×Dic47C2412yes—
397C22×Dic47C2411yescharacteristic
398C22×Dic47C2411yescharacteristic
399C22×Dic47C2412yes—
400C22×Dic47C2411yescharacteristic
401C22×Dic47C2411yescharacteristic
402#10625354—232no—
403Q8×D47—232no—
404#10625352—232no—
405#10625352—264no—
406D4×D47—232no—
407D4×D47—264no—
408D4×D47—232no—
409D4×D47—432no—
410#10625350—232no—
411#10625350—264no—
412C2×D188—22no—
413C2×D188—24no—
414C2×D188—24no—
415C2×D188—22no—
416C2×D188—24no—
417C2×D188—22no—
418C2×D188—22no—
419C2×D188—22no—
420C2×D188—24no—
421C2×D188—24no—
422C2×D188—42no—
423C2×D188C2×D414yescomplemented
424C2×C4×D47—264no—
425C2×C4×D47—22no—
426C2×C4×D47—22no—
427C2×C4×D47—22no—
428C2×C4×D47—24no—
429C2×C4×D47—24no—
430C2×C4×D47—24no—
431C2×C4×D47—24no—
432C2×C4×D47—22no—
433C2×C4×D47—24no—
434C2×C4×D47—22no—
435C2×C4×D47—22no—
436C2×C4×D47—24no—
437C2×C4×D47—24no—
438C2×C4×D47—24no—
439C2×C4×D47—22no—
440C2×C4×D47—22no—
441C2×C4×D47—232no—
442C2×C4×D47—22no—
443C2×C4×D47—22no—
444C2×C4×D47—24no—
445C2×C4×D47—22no—
446C2×C4×D47—24no—
447C2×C4×D47—22no—
448C2×C4×D47—24no—
449C2×C4×D47—24no—
450C2×C4×D47—22no—
451C2×C4×D47—24no—
452C2×C4×D47—24no—
453C2×C4×D47—22no—
454C2×C4×D47—22no—
455C2×C4×D47—22no—
456C2×C4×D47—22no—
457C2×C4×D47—22no—
458C2×C4×D47—22no—
459C2×C4×D47—22no—
460C2×C4×D47—416no—
461C2×C4×D47C2×D414yes—
462C2×C4×D47C2×D418yes—
463C2×C4×D47C2×D414yes—
464C2×C4×D47C2×D414yes—
465C2×C4×D47C2×D414yes—
466C2×C4×D47C2×D414yescomplemented
467C2×C4×D47C2×D414yescomplemented
468C2×C4×D47#4114yescomplemented
469C2×Dic94—22no—
470C2×Dic94—22no—
471C2×Dic94—24no—
472C2×Dic94—24no—
473C2×Dic94C2×D418yescomplemented
474C2×Dic94C2×D414yescomplemented
475C4⋊C4×C47—22no—
476C4⋊C4×C47—22no—
477C4⋊C4×C47—24no—
478C4⋊C4×C47—22no—
479C22⋊C4×C47—22no—
480C22⋊C4×C47—24no—
481C22⋊C4×C47—22no—
482C22⋊C4×C47—24no—
483C22⋊C4×C47—24no—
484C22⋊C4×C47—42no—
485C22⋊C4×C47—42no—
486C42×C47—22no—
487C22⋊Dic47—22no—
488C22⋊Dic47—24no—
489C22⋊Dic47—22no—
490C22⋊Dic47—24no—
491C22⋊Dic47—24no—
492C22⋊Dic47—42no—
493C22⋊Dic47—42no—
494(C2×D47)⋊C4—22no—
495(C2×D47)⋊C4—22no—
496(C2×D47)⋊C4—24no—
497(C2×D47)⋊C4—24no—
498(C2×D47)⋊C4—22no—
499(C2×D47)⋊C4—24no—
500(C2×D47)⋊C4—24no—
501(C2×D47)⋊C4—22no—
502(C2×D47)⋊C4—24no—
503(C2×D47)⋊C4—24no—
504(C2×D47)⋊C4—42no—
505(C2×D47)⋊C4—42no—
506(C2×D47)⋊C4—42no—
507(C2×D47)⋊C4—42no—
508C4⋊Dic47—22no—
509C4⋊Dic47—22no—
510C4⋊Dic47—22no—
511C4⋊Dic47—24no—
512Dic47⋊C4—22no—
513Dic47⋊C4—24no—
514Dic47⋊C4—22no—
515Dic47⋊C4—24no—
516Dic47⋊C4—24no—
517Dic47⋊C4—24no—
518C4×Dic47—22no—
519C4×Dic47—22no—
520C4×Dic47—22no—
521C23×C47—21no—
522C23×C47—21no—
523C23×C47—22no—
524C23×C47—21no—
525C23×C47—22no—
526C23×C47—21no—
527C23×C47—21no—
528C23×C47—22no—
529C23×C47—21no—
530C23×C47—21no—
531C23×C47—21no—
532C23×C47—22no—
533C23×C47—21no—
534C23×C47—22no—
535C23×C47—21no—
536C23×C47—21no—
537C23×C47—22no—
538C23×C47—21no—
539C23×C47C22×D414yes—
540C23×C47C22×D412yes—
541C23×C47C2×#4112yescomplemented
542C23×C47C2511yescharacteristic
543C22×D47—21no—
544C22×D47—21no—
545C22×D47—22no—
546C22×D47—21no—
547C22×D47—22no—
548C22×D47—21no—
549C22×D47—21no—
550C22×D47—22no—
551C22×D47—21no—
552C22×D47—21no—
553C22×D47—21no—
554C22×D47—22no—
555C22×D47—21no—
556C22×D47—22no—
557C22×D47—21no—
558C22×D47—21no—
559C22×D47—22no—
560C22×D47—21no—
561C22×D47—216no—
562C22×D47—28no—
563C22×D47—28no—
564C22×D47—28no—
565C22×D47—28no—
566C22×D47—28no—
567C22×D47—216no—
568C22×D47—216no—
569C22×D47—28no—
570C22×D47—44no—
571C22×D47—48no—
572C22×D47—44no—
573C22×D47—48no—
574C22×D47—44no—
575C22×D47—44no—
576C22×D47—44no—
577C22×D47—44no—
578C22×D47—48no—
579C22×D47—44no—
580C22×D47—48no—
581C22×D47—44no—
582C22×D47C22×D414yes—
583C22×D47C22×D412yes—
584C22×D47C22×D412yes—
585C22×D47C22×D412yes—
586C22×D47C22×D412yes—
587C22×D47C2×#4112yes—
588C22×D47C2×#4112yes—
589C22×D47C2×#4112yescomplemented
590C22×D47H(5,𝔽2)12yes—
591C22×D472−1+412yes—
592Q8×C47—28no—
593D4×C47—216no—
594D4×C47—28no—
595D4×C47—28no—
596D4×C47—48no—
597C2×C4×C47—216no—
598C2×C4×C47—21no—
599C2×C4×C47—22no—
600C2×C4×C47—22no—
601C2×C4×C47—21no—
602C2×C4×C47—21no—
603C2×C4×C47—21no—
604C2×C4×C47—28no—
605C2×C4×C47—21no—
606C2×C4×C47—21no—
607C2×C4×C47—22no—
608C2×C4×C47—21no—
609C2×C4×C47—22no—
610C2×C4×C47—21no—
611C2×C4×C47—22no—
612C2×C4×C47—22no—
613C2×C4×C47—21no—
614C2×C4×C47—22no—
615C2×C4×C47—22no—
616C2×C4×C47—21no—
617C2×C4×C47—44no—
618C2×C4×C47C22×D414yes—
619C2×C4×C47C22×D412yes—
620C2×C4×C47C22×D412yes—
621C2×C4×C47C22×D412yes—
622C2×C4×C47C22×D412yes—
623C2×C4×C47C2×#4112yescomplemented
624C22⋊D47—216no—
625C22⋊D47—216no—
626C22⋊D47—28no—
627C22⋊D47—28no—
628C22⋊D47—216no—
629C22⋊D47—48no—
630C22⋊D47—48no—
631C2×Dic47—216no—
632C2×Dic47—21no—
633C2×Dic47—22no—
634C2×Dic47—22no—
635C2×Dic47—21no—
636C2×Dic47—21no—
637C2×Dic47—21no—
638C2×Dic47—28no—
639C2×Dic47—21no—
640C2×Dic47—22no—
641C2×Dic47—21no—
642C2×Dic47—21no—
643C2×Dic47—22no—
644C2×Dic47—21no—
645C2×Dic47—22no—
646C2×Dic47—22no—
647C2×Dic47—21no—
648C2×Dic47—22no—
649C2×Dic47—22no—
650C2×Dic47—21no—
651C2×Dic47—44no—
652C2×Dic47C22×D414yes—
653C2×Dic47C22×D412yes—
654C2×Dic47C22×D412yes—
655C2×Dic47C22×D412yes—
656C2×Dic47C22×D412yes—
657C2×Dic47C2×#4112yescomplemented
658D188—216no—
659D188—28no—
660D188—28no—
661D188—48no—
662C4×D47—216no—
663C4×D47—216no—
664C4×D47—28no—
665C4×D47—216no—
666C4×D47—28no—
667C4×D47—28no—
668C4×D47—28no—
669C4×D47—44no—
670C4×D47—44no—
671C4×D47—48no—
672C4×D47—48no—
673C4×D47—44no—
674C4×D47—44no—
675C4×D47#120116yes—
676Dic94—28no—
677Dic94—216no—
678C2×#2407—471nomaximal, Sylow
679C22×C47—24no—
680C22×C47—22no—
681C22×C47—22no—
682C22×C47—22no—
683C22×C47—22no—
684C22×C47—22no—
685C22×C47—24no—
686C22×C47—24no—
687C22×C47—22no—
688C22×C47—41no—
689C22×C47—42no—
690C22×C47—41no—
691C22×C47—42no—
692C22×C47—41no—
693C22×C47—41no—
694C22×C47—41no—
695C22×C47—41no—
696C22×C47—42no—
697C22×C47—41no—
698C22×C47—42no—
699C22×C47—41no—
700C22×C47C23×D411yescharacteristic
701C22×C47C23×D411yescharacteristic
702C22×C47C23×D411yescharacteristic
703C22×C47C22×#4111yescharacteristic
704C22×C47C22×#4111yescharacteristic
705C22×C47C2×H(5,𝔽2)11yescharacteristic
706C22×C47C2×2−1+411yescharacteristic
707C2×D47—24no—
708C2×D47—22no—
709C2×D47—22no—
710C2×D47—22no—
711C2×D47—22no—
712C2×D47—22no—
713C2×D47—24no—
714C2×D47—24no—
715C2×D47—22no—
716C2×D47—41no—
717C2×D47—42no—
718C2×D47—41no—
719C2×D47—42no—
720C2×D47—41no—
721C2×D47—41no—
722C2×D47—41no—
723C2×D47—41no—
724C2×D47—42no—
725C2×D47—41no—
726C2×D47—42no—
727C2×D47—41no—
728C2×D47—416no—
729C2×D47—432no—
730C2×D47—416no—
731C2×D47C2×#12014yes—
732C2×D47#52514yes—
733C2×D47#53714yes—
734C2×D47#54614yes—
735C2×D47#54714yes—
736C2×D47#54814yes—
737C2×D47#55014yes—
738C4×C47—24no—
739C4×C47—22no—
740C4×C47—22no—
741C4×C47—41no—
742C4×C47—41no—
743C4×C47—42no—
744C4×C47—42no—
745C4×C47C2×#12014yes—
746Dic47—24no—
747Dic47—22no—
748Dic47—22no—
749Dic47—41no—
750Dic47—41no—
751Dic47—42no—
752Dic47—42no—
753Dic47C2×#12014yes—
754C23×#41—471no—
755C22×C22⋊Q8—471no—
756C22×#121—471no—
757C22×C4×D4—471no—
758#2407—472no—
759#2407—472no—
760#2407—471no—
761#2407—471no—
762#2407—472no—
763#2407—472no—
764#2407—471no—
765#2407—471no—
766#2407—471no—
767#2407—471no—
768#2407—471no—
769#2407D4711yescharacteristic, direct product factor
770C2×#394—472no—
771C2×#392—472no—
772C2×#391—471no—
773C2×#390—471no—
774C2×#386—472no—
775C2×#385—472no—
776C2×#380—471no—
777C2×C47—42no—
778C2×C47—44no—
779C2×C47—42no—
780C2×C47C22×#12011yescharacteristic
781C2×C47C2×#52511yescharacteristic
782C2×C47C2×#53711yescharacteristic
783C2×C47C2×#54611yescharacteristic
784C2×C47C2×#54711yescharacteristic
785C2×C47C2×#54811yescharacteristic
786C2×C47C2×#55011yescharacteristic
787D47—42no—
788D47—44no—
789D47—42no—
790D47#240718yesdirect product factor
791C22×#41—471no—
792C22×#41—472no—
793C22×#41—471no—
794C22×#41—472no—
795C22×#41—471no—
796C22×#41—948no—
797C22×#41—948no—
798C22×#41—948no—
799C22×#41C2×D4711yescharacteristic, complemented
800C23×Q8—471no—
801C23×D4—471no—
802C23×D4—472no—
803C23×D4—471no—
804C23×D4—472no—
805C24×C4—471no—
806C24×C4—472no—
807C24×C4—471no—
808C2×C22⋊Q8—471no—
809C2×C22⋊Q8—471no—
810C2×C22⋊Q8—472no—
811C2×C22⋊Q8—471no—
812C2×C22⋊Q8—472no—
813C2×C22⋊Q8—948no—
814C2×C22⋊Q8C2×D4711yescharacteristic, complemented
815C2×#121—471no—
816C2×#121—472no—
817C2×#121—471no—
818C2×#121—471no—
819C2×#121—472no—
820C2×#121—948no—
821C2×#121C2×D4711yescharacteristic, complemented
822C2×C4×D4—471no—
823C2×C4×D4—471no—
824C2×C4×D4—471no—
825C2×C4×D4—471no—
826C2×C4×D4—471no—
827C2×C4×D4—471no—
828C2×C4×D4—471no—
829C2×C4×D4—948no—
830C2×C4×D4C2×D4711yescharacteristic, complemented
831C22×C4⋊C4—472no—
832C22×C4⋊C4—471no—
833C22×C4⋊C4—471no—
834C22×C4⋊C4—471no—
835C22×C22⋊C4—472no—
836C22×C22⋊C4—472no—
837C22×C22⋊C4—471no—
838C22×C22⋊C4—472no—
839C22×C22⋊C4—471no—
840C22×C22⋊C4—472no—
841C22×C22⋊C4—472no—
842C22×C42—471no—
843#394—472no—
844#394—472no—
845#394—472no—
846#394—472no—
847#394—472no—
848#394—472no—
849#394—472no—
850#394C2×D4712yescomplemented
851#392—472no—
852#392—472no—
853#392—472no—
854#392—472no—
855#392—472no—
856#392—472no—
857#392—472no—
858#392C2×D4712yescomplemented
859#391—471no—
860#391—471no—
861#391—471no—
862#391—472no—
863#391—472no—
864#391C2×D4711yescharacteristic, complemented
865#390—471no—
866#390—471no—
867#390—472no—
868#390—472no—
869#390—471no—
870#390C2×D4711yescharacteristic, complemented
871#386—472no—
872#386—472no—
873#386—472no—
874#386—472no—
875#386—472no—
876#386—472no—
877#386—472no—
878#386C2×D4712yescomplemented
879#385—472no—
880#385—472no—
881#385—472no—
882#385—472no—
883#385—472no—
884#385—472no—
885#385—472no—
886#385C2×D4712yescomplemented
887#380—471no—
888#380—471no—
889#380—471no—
890#380—472no—
891#380—472no—
892#380C2×D4711yescharacteristic, complemented
893C2×#95—472no—
894C2×#95—472no—
895C2×#95—472no—
896C47C2×#240711yescharacteristic, complemented, Sylow
897C25—471no—
898C25—472no—
899C25—471no—
900C2×#41—24no—
901C2×#41—24no—
902C2×#41—24no—
903C2×#41—948no—
904C2×#41—948no—
905C2×#41—944no—
906C2×#41—948no—
907C2×#41—944no—
908C2×#41—948no—
909C2×#41—944no—
910C2×#41—944no—
911C2×#41—948no—
912C2×#41—948no—
913C2×#41—944no—
914C2×#41—944no—
915C2×#41—94128no—
916C2×#41—944no—
917C2×#41—944no—
918C2×#41—944no—
919C22×Q8—478no—
920C22×Q8—472no—
921C22×Q8—471no—
922C22×Q8—944no—
923C22×Q8—944no—
924C22×Q8C22×D4711yescharacteristic
925C22×D4—472no—
926C22×D4—478no—
927C22×D4—471no—
928C22×D4—471no—
929C22×D4—472no—
930C22×D4—472no—
931C22×D4—472no—
932C22×D4—472no—
933C22×D4—471no—
934C22×D4—471no—
935C22×D4—472no—
936C22×D4—472no—
937C22×D4—944no—
938C22×D4—944no—
939C22×D4—948no—
940C22×D4—944no—
941C22×D4—944no—
942C22×D4—948no—
943C22×D4—948no—
944C22×D4—944no—
945C22×D4—948no—
946C22×D4—948no—
947C22×D4—1884no—
948C22×D4C22×D4711yescharacteristic
949C22×D4C22×D4712yes—
950C22×D4C22×D4712yes—
951C22×D4C22×D4711yescharacteristic
952C23×C4—471no—
953C23×C4—471no—
954C23×C4—478no—
955C23×C4—471no—
956C23×C4—471no—
957C23×C4—472no—
958C23×C4—471no—
959C23×C4—471no—
960C23×C4—471no—
961C23×C4—472no—
962C23×C4—472no—
963C23×C4—471no—
964C23×C4—471no—
965C23×C4—472no—
966C23×C4—471no—
967C23×C4—471no—
968C23×C4—472no—
969C23×C4—472no—
970C23×C4—944no—
971C23×C4—944no—
972C23×C4—948no—
973C23×C4—948no—
974C23×C4—944no—
975C23×C4—944no—
976C23×C4—944no—
977C23×C4—948no—
978C23×C4C22×D4711yescharacteristic
979C23×C4C22×D4712yes—
980C23×C4C22×D4711yescharacteristic
981C22⋊Q8—24no—
982C22⋊Q8—948no—
983C22⋊Q8—948no—
984C22⋊Q8—944no—
985C22⋊Q8—944no—
986C22⋊Q8—944no—
987#121—24no—
988#121—948no—
989#121—944no—
990#121—944no—
991#121—948no—
992#121—944no—
993C4×D4—24no—
994C4×D4—944no—
995C4×D4—944no—
996C4×D4—944no—
997C4×D4—944no—
998C4×D4—944no—
999C4×D4—944no—
1000C4×D4—944no—
1001C2×C4⋊C4—471no—
1002C2×C4⋊C4—471no—
1003C2×C4⋊C4—471no—
1004C2×C4⋊C4—472no—
1005C2×C4⋊C4—471no—
1006C2×C4⋊C4—472no—
1007C2×C4⋊C4—472no—
1008C2×C4⋊C4—472no—
1009C2×C4⋊C4—471no—
1010C2×C4⋊C4—472no—
1011C2×C4⋊C4—944no—
1012C2×C4⋊C4—944no—
1013C2×C4⋊C4—944no—
1014C2×C4⋊C4—948no—
1015C2×C4⋊C4C22×D4711yescharacteristic
1016C2×C4⋊C4C22×D4711yescharacteristic
1017C2×C4⋊C4C22×D4711yescharacteristic
1018C2×C4⋊C4C22×D4712yes—
1019C2×C22⋊C4—471no—
1020C2×C22⋊C4—471no—
1021C2×C22⋊C4—472no—
1022C2×C22⋊C4—472no—
1023C2×C22⋊C4—472no—
1024C2×C22⋊C4—471no—
1025C2×C22⋊C4—471no—
1026C2×C22⋊C4—471no—
1027C2×C22⋊C4—471no—
1028C2×C22⋊C4—472no—
1029C2×C22⋊C4—472no—
1030C2×C22⋊C4—472no—
1031C2×C22⋊C4—472no—
1032C2×C22⋊C4—472no—
1033C2×C22⋊C4—472no—
1034C2×C22⋊C4—472no—
1035C2×C22⋊C4—472no—
1036C2×C22⋊C4—472no—
1037C2×C22⋊C4—472no—
1038C2×C22⋊C4—472no—
1039C2×C22⋊C4—472no—
1040C2×C22⋊C4—944no—
1041C2×C22⋊C4—948no—
1042C2×C22⋊C4—948no—
1043C2×C22⋊C4—944no—
1044C2×C22⋊C4—948no—
1045C2×C22⋊C4—1884no—
1046C2×C22⋊C4—1884no—
1047C2×C22⋊C4C22×D4711yescharacteristic
1048C2×C22⋊C4C22×D4711yescharacteristic
1049C2×C22⋊C4C22×D4712yes—
1050C2×C22⋊C4C22×D4712yes—
1051C2×C22⋊C4C22×D4712yes—
1052C2×C22⋊C4C22×D4712yes—
1053C2×C22⋊C4C22×D4712yes—
1054C2×C42—471no—
1055C2×C42—471no—
1056C2×C42—471no—
1057C2×C42—944no—
1058C2×C42C22×D4711yescharacteristic
1059#95—472no—
1060#95—472no—
1061#95—472no—
1062#95—472no—
1063#95—472no—
1064#95—472no—
1065#95—472no—
1066#95—472no—
1067#95—472no—
1068#95C22×D4712yes—
1069#95C22×D4712yes—
1070#95C22×D4712yes—
1071C24—471no—
1072C24—474no—
1073C24—478no—
1074C24—474no—
1075C24—471no—
1076C24—472no—
1077C24—471no—
1078C24—942no—
1079C24—942no—
1080C24—944no—
1081C24—942no—
1082C24—944no—
1083C24—942no—
1084C24—944no—
1085C24—944no—
1086C24—942no—
1087C24—942no—
1088C24—942no—
1089C24—942no—
1090C24—942no—
1091C24—944no—
1092C24—942no—
1093C24—944no—
1094C24—942no—
1095C24—942no—
1096C24C23×D4712yes—
1097C24C23×D4711yescharacteristic
1098C24C23×D4711yescharacteristic
1099#41—232no—
1100#41—9464no—
1101#41—9432no—
1102#41—9464no—
1103#41—9432no—
1104#41—9432no—
1105C2×Q8—22no—
1106C2×Q8—22no—
1107C2×Q8—478no—
1108C2×Q8—474no—
1109C2×Q8—944no—
1110C2×Q8—944no—
1111C2×Q8—9432no—
1112C2×Q8—942no—
1113C2×Q8—942no—
1114C2×Q8D4×D4714yescomplemented
1115C2×D4—22no—
1116C2×D4—24no—
1117C2×D4—24no—
1118C2×D4—22no—
1119C2×D4—24no—
1120C2×D4—24no—
1121C2×D4—24no—
1122C2×D4—22no—
1123C2×D4—22no—
1124C2×D4—22no—
1125C2×D4—42no—
1126C2×D4—478no—
1127C2×D4—474no—
1128C2×D4—942no—
1129C2×D4—942no—
1130C2×D4—944no—
1131C2×D4—944no—
1132C2×D4—944no—
1133C2×D4—944no—
1134C2×D4—9432no—
1135C2×D4—942no—
1136C2×D4—942no—
1137C2×D4—944no—
1138C2×D4—944no—
1139C2×D4—944no—
1140C2×D4—944no—
1141C2×D4—9432no—
1142C2×D4—9464no—
1143C2×D4—942no—
1144C2×D4—942no—
1145C2×D4—944no—
1146C2×D4—944no—
1147C2×D4—942no—
1148C2×D4—944no—
1149C2×D4—944no—
1150C2×D4—942no—
1151C2×D4—944no—
1152C2×D4—944no—
1153C2×D4—944no—
1154C2×D4—944no—
1155C2×D4—944no—
1156C2×D4—942no—
1157C2×D4—942no—
1158C2×D4—942no—
1159C2×D4—1882no—
1160C2×D4—1882no—
1161C2×D4—1882no—
1162C2×D4—18832no—
1163C2×D4D4×D4714yescomplemented
1164C22×C4—24no—
1165C22×C4—24no—
1166C22×C4—24no—
1167C22×C4—22no—
1168C22×C4—22no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—471no—
1173C22×C4—474no—
1174C22×C4—474no—
1175C22×C4—474no—
1176C22×C4—474no—
1177C22×C4—471no—
1178C22×C4—471no—
1179C22×C4—472no—
1180C22×C4—474no—
1181C22×C4—478no—
1182C22×C4—474no—
1183C22×C4—474no—
1184C22×C4—474no—
1185C22×C4—472no—
1186C22×C4—471no—
1187C22×C4—472no—
1188C22×C4—471no—
1189C22×C4—942no—
1190C22×C4—942no—
1191C22×C4—944no—
1192C22×C4—944no—
1193C22×C4—9432no—
1194C22×C4—942no—
1195C22×C4—942no—
1196C22×C4—942no—
1197C22×C4—942no—
1198C22×C4—942no—
1199C22×C4—942no—
1200C22×C4—944no—
1201C22×C4—944no—
1202C22×C4—944no—
1203C22×C4—944no—
1204C22×C4—942no—
1205C22×C4—9464no—
1206C22×C4—942no—
1207C22×C4—942no—
1208C22×C4—944no—
1209C22×C4—942no—
1210C22×C4—944no—
1211C22×C4—944no—
1212C22×C4—944no—
1213C22×C4—942no—
1214C22×C4—944no—
1215C22×C4—942no—
1216C22×C4—942no—
1217C22×C4—944no—
1218C22×C4—942no—
1219C22×C4—942no—
1220C22×C4—944no—
1221C22×C4—944no—
1222C22×C4—942no—
1223C22×C4—942no—
1224C22×C4—942no—
1225C22×C4—944no—
1226C22×C4—944no—
1227C22×C4—944no—
1228C22×C4—942no—
1229C22×C4—942no—
1230C22×C4—942no—
1231C22×C4—942no—
1232C22×C4—942no—
1233C22×C4—18816no—
1234C22×C4D4×D4714yescomplemented
1235C22×C4C23×D4712yes—
1236C22×C4C23×D4711yescharacteristic
1237C22×C4C23×D4712yes—
1238C22×C4C23×D4711yescharacteristic
1239C22×C4C23×D4711yescharacteristic
1240C22×C4C23×D4712yes—
1241C22×C4C23×D4711yescharacteristic
1242C22×C4C23×D4711yescharacteristic
1243C4⋊C4—22no—
1244C4⋊C4—22no—
1245C4⋊C4—22no—
1246C4⋊C4—24no—
1247C4⋊C4—942no—
1248C4⋊C4—944no—
1249C4⋊C4—944no—
1250C4⋊C4—944no—
1251C4⋊C4—942no—
1252C4⋊C4—944no—
1253C4⋊C4—942no—
1254C4⋊C4—944no—
1255C4⋊C4—942no—
1256C4⋊C4—942no—
1257C22⋊C4—22no—
1258C22⋊C4—24no—
1259C22⋊C4—22no—
1260C22⋊C4—24no—
1261C22⋊C4—24no—
1262C22⋊C4—42no—
1263C22⋊C4—42no—
1264C22⋊C4—944no—
1265C22⋊C4—942no—
1266C22⋊C4—944no—
1267C22⋊C4—942no—
1268C22⋊C4—942no—
1269C22⋊C4—944no—
1270C22⋊C4—944no—
1271C22⋊C4—944no—
1272C22⋊C4—942no—
1273C22⋊C4—944no—
1274C22⋊C4—942no—
1275C22⋊C4—944no—
1276C22⋊C4—942no—
1277C22⋊C4—944no—
1278C22⋊C4—944no—
1279C22⋊C4—1882no—
1280C22⋊C4—1882no—
1281C22⋊C4—1882no—
1282C22⋊C4—1882no—
1283C22⋊C4—1882no—
1284C22⋊C4—1882no—
1285C42—22no—
1286C42—942no—
1287C42—942no—
1288C42—942no—
1289C23—21no—
1290C23—21no—
1291C23—21no—
1292C23—21no—
1293C23—22no—
1294C23—21no—
1295C23—22no—
1296C23—22no—
1297C23—22no—
1298C23—21no—
1299C23—21no—
1300C23—21no—
1301C23—21no—
1302C23—22no—
1303C23—21no—
1304C23—22no—
1305C23—21no—
1306C23—21no—
1307C23—472no—
1308C23—472no—
1309C23—472no—
1310C23—472no—
1311C23—472no—
1312C23—472no—
1313C23—472no—
1314C23—472no—
1315C23—474no—
1316C23—472no—
1317C23—948no—
1318C23—9416no—
1319C23—948no—
1320C23—948no—
1321C23—948no—
1322C23—9416no—
1323C23—9416no—
1324C23—948no—
1325C23—948no—
1326C23—941no—
1327C23—941no—
1328C23—941no—
1329C23—941no—
1330C23—941no—
1331C23—942no—
1332C23—942no—
1333C23—942no—
1334C23—942no—
1335C23—941no—
1336C23—941no—
1337C23—941no—
1338C23—941no—
1339C23—942no—
1340C23—941no—
1341C23—942no—
1342C23—941no—
1343C23—941no—
1344C23—1884no—
1345C23—1884no—
1346C23—1884no—
1347C23—1884no—
1348C23—1884no—
1349C23—1888no—
1350C23—1884no—
1351C23—1888no—
1352C23—1884no—
1353C23—1888no—
1354C23—1884no—
1355C23—1888no—
1356C23C2×D4×D4714yes—
1357C23C2×D4×D4712yes—
1358C23#41×D4712yescomplemented
1359C23C24×D4711yescharacteristic
1360Q8—28no—
1361Q8—9416no—
1362Q8—948no—
1363D4—28no—
1364D4—216no—
1365D4—28no—
1366D4—48no—
1367D4—948no—
1368D4—9416no—
1369D4—9416no—
1370D4—948no—
1371D4—948no—
1372D4—9416no—
1373D4—9416no—
1374D4—948no—
1375D4—1888no—
1376D4—1888no—
1377D4—1888no—
1378C2×C4—216no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—22no—
1383C2×C4—22no—
1384C2×C4—21no—
1385C2×C4—28no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—22no—
1389C2×C4—21no—
1390C2×C4—22no—
1391C2×C4—21no—
1392C2×C4—22no—
1393C2×C4—22no—
1394C2×C4—22no—
1395C2×C4—21no—
1396C2×C4—22no—
1397C2×C4—21no—
1398C2×C4—44no—
1399C2×C4—472no—
1400C2×C4—472no—
1401C2×C4—472no—
1402C2×C4—4716no—
1403C2×C4—472no—
1404C2×C4—474no—
1405C2×C4—472no—
1406C2×C4—948no—
1407C2×C4—948no—
1408C2×C4—9416no—
1409C2×C4—948no—
1410C2×C4—9416no—
1411C2×C4—9416no—
1412C2×C4—948no—
1413C2×C4—9416no—
1414C2×C4—941no—
1415C2×C4—941no—
1416C2×C4—941no—
1417C2×C4—942no—
1418C2×C4—942no—
1419C2×C4—941no—
1420C2×C4—948no—
1421C2×C4—941no—
1422C2×C4—941no—
1423C2×C4—942no—
1424C2×C4—941no—
1425C2×C4—942no—
1426C2×C4—941no—
1427C2×C4—942no—
1428C2×C4—942no—
1429C2×C4—942no—
1430C2×C4—941no—
1431C2×C4—942no—
1432C2×C4—941no—
1433C2×C4—1884no—
1434C2×C4—1888no—
1435C2×C4—1884no—
1436C2×C4—1884no—
1437C2×C4—1888no—
1438C2×C4—1884no—
1439C2×C4—1884no—
1440C2×C4C2×D4×D4712yes—
1441C2×C4C2×D4×D4714yes—
1442C2×C4C2×D4×D4712yes—
1443C2×C4C2×D4×D4712yes—
1444C2×C4C2×D4×D4712yes—
1445C2×C4#41×D4712yescomplemented
1446C22—22no—
1447C22—24no—
1448C22—24no—
1449C22—22no—
1450C22—24no—
1451C22—22no—
1452C22—22no—
1453C22—22no—
1454C22—22no—
1455C22—41no—
1456C22—41no—
1457C22—41no—
1458C22—42no—
1459C22—41no—
1460C22—41no—
1461C22—41no—
1462C22—42no—
1463C22—41no—
1464C22—42no—
1465C22—41no—
1466C22—42no—
1467C22—474no—
1468C22—474no—
1469C22—474no—
1470C22—474no—
1471C22—474no—
1472C22—474no—
1473C22—474no—
1474C22—942no—
1475C22—944no—
1476C22—944no—
1477C22—942no—
1478C22—942no—
1479C22—944no—
1480C22—942no—
1481C22—942no—
1482C22—942no—
1483C22—18816no—
1484C22—18832no—
1485C22—18816no—
1486C22—1881no—
1487C22—1881no—
1488C22—1881no—
1489C22—1882no—
1490C22—1881no—
1491C22—1881no—
1492C22—1881no—
1493C22—1882no—
1494C22—1881no—
1495C22—1882no—
1496C22—1881no—
1497C22—1882no—
1498C22C22×D4×D4711yescharacteristic
1499C22C22×D4×D4711yescharacteristic
1500C22C22×D4×D4711yescharacteristic
1501C22C2×#41×D4711yescharacteristic
1502C22C2×#41×D4711yescharacteristic
1503C22H(5,𝔽2)×D4711yescharacteristic
1504C222−1+4×D4711yescharacteristic
1505C4—22no—
1506C4—24no—
1507C4—22no—
1508C4—42no—
1509C4—41no—
1510C4—42no—
1511C4—41no—
1512C4—474no—
1513C4—942no—
1514C4—944no—
1515C4—942no—
1516C4—1882no—
1517C4—1881no—
1518C4—1882no—
1519C4—1881no—
1520C4#120×D4714yes—
1521C2—42no—
1522C2—44no—
1523C2—42no—
1524C2—478no—
1525C2—1882no—
1526C2—1884no—
1527C2—1882no—
1528C2C2×#120×D4711yescharacteristic
1529C2#525×D4711yescharacteristic
1530C2#537×D4711yescharacteristic
1531C2#546×D4711yescharacteristic
1532C2#547×D4711yescharacteristic
1533C2#548×D4711yescharacteristic
1534C2#550×D4711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2407C2
hypercenter#2407D47
hypocenterC47C2×#2407
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2407

Complements

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

NH ≅ G/Ntype
1. C22×#41×D47C2semidirect
2. C2×C22⋊Q8×D47C2semidirect
3. C2×#121×D47C2semidirect
4. C2×C4×D4×D47C2semidirect
5. #20246736C2semidirect
6. #20246735C2semidirect
7. #20246734C2semidirect
8. #20246733C2semidirect
9. #20246732C2semidirect
10. #20246731C2semidirect
11. #20246730C2semidirect
12. #20246729C2semidirect
13. #20246728C2semidirect
14. #20246727C2semidirect
15. #20246726C2semidirect
16. #394×D47C2semidirect
17. #392×D47C2semidirect
18. #391×D47C2semidirect
19. #390×D47C2semidirect
20. #386×D47C2semidirect
21. #385×D47C2semidirect
22. #380×D47C2semidirect
23. C47×#2407C2semidirect
24. C22×#10625354C22semidirect
25. C22×#10625350C22semidirect
26. C22×#10625350C22semidirect
27. C22×#10625352C22semidirect
28. C22×#10625352C22semidirect
40. C2×#13094004C22semidirect
41. C2×#13094003C22semidirect
42. C2×#13094002C22semidirect
43. C2×#13094001C22semidirect
44. C2×#13094000C22semidirect
46. C2×#13093999C22semidirect
47. C2×#13093998C22semidirect
48. C2×#13093997C22semidirect
49. C2×#13093996C22semidirect
50. C2×#13093995C22semidirect
52. C2×C4×D188C22semidirect
53. C2×D4×Dic47C22semidirect
54. C2×#13093986C22semidirect
55. C2×C4×C22⋊D47C22semidirect
56. C2×C4×C22⋊D47C22semidirect
57. C2×(C22⋊D47)⋊C4C22semidirect
58. C2×(C22⋊D47)⋊C4C22semidirect
72. #15689041C22semidirect
73. #15689040C22semidirect
74. #15689039C22semidirect
75. #15689039C22semidirect
76. #15689038C22semidirect
77. #15689038C22semidirect
78. #15689037C22semidirect
79. #15689033C22semidirect
80. #15689032C22semidirect
81. #15689032C22semidirect
82. #15689032C22semidirect
83. #15689031C22semidirect
84. #15689031C22semidirect
85. #15689031C22semidirect
86. #15689030C22semidirect
87. #15689029C22semidirect
88. #15689028C22semidirect
89. #15689027C22semidirect
90. #15689027C22semidirect
91. #15689026C22semidirect
92. #15689025C22semidirect
93. #15689024C22semidirect
94. #15689023C22semidirect
95. #15689023C22semidirect
96. #15689003C22semidirect
97. #15689002C22semidirect
98. #15689001C22semidirect
99. #15689001C22semidirect
100. #15689000C22semidirect
101. #15688999C22semidirect
102. #15688999C22semidirect
103. #15688998C22semidirect
104. #15688997C22semidirect
105. #15688997C22semidirect
106. #15688996C22semidirect
107. #15688995C22semidirect
108. #15688994C22semidirect
109. #15688994C22semidirect
110. #15688983C22semidirect
111. #15688982C22semidirect
112. #15688981C22semidirect
113. #15688980C22semidirect
114. #15688980C22semidirect
118. C22×#41×C47C22semidirect
119. C2×C22⋊Q8×C47C22semidirect
120. C2×#121×C47C22semidirect
121. C2×C4×D4×C47C22semidirect
122. C47×#394C22semidirect
123. C47×#392C22semidirect
124. C47×#391C22semidirect
125. C47×#390C22semidirect
126. C47×#386C22semidirect
127. C47×#385C22semidirect
128. C47×#380C22semidirect
152. C2×Q8×D47D4semidirect
175. C2×D4×D47D4semidirect
187. C22×C4×D47D4semidirect
326. C23×D47#41semidirect
334. C2×Q8×C47C2×D4semidirect
346. C2×D4×C47C2×D4semidirect
355. C22×C4×C47C2×D4semidirect
384. C2×C22⋊D47C2×D4semidirect
393. C22×Dic47C2×D4semidirect
423. C2×D188C2×D4semidirect
466. C2×C4×D47C2×D4semidirect
467. C2×C4×D47C2×D4semidirect
468. C2×C4×D47#41semidirect
473. C2×Dic94C2×D4semidirect
474. C2×Dic94C2×D4semidirect
541. C23×C47C2×#41semidirect
589. C22×D47C2×#41semidirect
623. C2×C4×C47C2×#41semidirect
657. C2×Dic47C2×#41semidirect
769. #2407D47direct (N × H)
790. D47#2407direct (N × H)
799. C22×#41C2×D47semidirect
814. C2×C22⋊Q8C2×D47semidirect
821. C2×#121C2×D47semidirect
830. C2×C4×D4C2×D47semidirect
850. #394C2×D47semidirect
858. #392C2×D47semidirect
864. #391C2×D47semidirect
870. #390C2×D47semidirect
878. #386C2×D47semidirect
886. #385C2×D47semidirect
892. #380C2×D47semidirect
896. C47C2×#2407semidirect
1114. C2×Q8D4×D47semidirect
1163. C2×D4D4×D47semidirect
1234. C22×C4D4×D47semidirect
1358. C23#41×D47semidirect
1445. C2×C4#41×D47semidirect

Maximal subgroups

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

subgroupindex
C22×#41×D472
C2×C22⋊Q8×D472
C2×#121×D472
C2×C4×D4×D472
#202467362
#202467352
#202467342
#202467332
#202467322
#202467312
#202467302
#202467292
#202467282
#202467272
#202467262
#394×D472
#392×D472
#391×D472
#390×D472
#386×D472
#385×D472
#380×D472
C47×#24072
C2×#240747