Finite Group Databasebeta

← #26388922

Subgroups — #26388922

Order 12032.

2834 conjugacy classes of subgroups.

The subgroup lattice has 1666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689719C211yesmaximal, characteristic, complemented
2C22×C4⋊C4×D47C211yesmaximal, characteristic, complemented
3#20251683C211yesmaximal, characteristic, complemented
4#20251679C211yesmaximal, characteristic, complemented
5#20251672C211yesmaximal, characteristic, complemented
6#20251669C211yesmaximal, characteristic
7#20249200C211yesmaximal, characteristic, complemented
8#20249173C211yesmaximal, characteristic, complemented
9#20249169C211yesmaximal, characteristic, complemented
10#20249135C211yesmaximal, characteristic, complemented
11#20247654C211yesmaximal, characteristic, complemented
12#20247650C211yesmaximal, characteristic, complemented
13#20247647C211yesmaximal, characteristic, complemented
14#20247643C211yesmaximal, characteristic, complemented
15#20247535C211yesmaximal, characteristic, complemented
16#20247531C211yesmaximal, characteristic, complemented
17#20247526C211yesmaximal, characteristic, complemented
18#20247522C211yesmaximal, characteristic, complemented
19#20247194C211yesmaximal, characteristic, complemented
20#20247193C211yesmaximal, characteristic, complemented
21#20247190C211yesmaximal, characteristic, complemented
22#20247129C211yesmaximal, characteristic, complemented
23#20247126C211yesmaximal, characteristic, complemented
24#20247122C211yesmaximal, characteristic, complemented
25#20247117C211yesmaximal, characteristic, complemented
26#20246055C211yesmaximal, characteristic, complemented
27#20246052C211yesmaximal, characteristic, complemented
28#20245987C211yesmaximal, characteristic, complemented
29#20245889C211yesmaximal, characteristic, complemented
30C4×#13093992C211yesmaximal, characteristic, complemented
31C47×#2449C211yesmaximal, characteristic, complemented
32C23×C4×D47C2211yescharacteristic
33C23×C4×D47C2211yescharacteristic
34C23×C4×D47C2211yescharacteristic
35#15689719—28no—
36C2×#13094019C2211yescharacteristic, complemented
37C2×#13094017C2211yescharacteristic, complemented
38C2×#13094014C2211yescharacteristic, complemented
39C2×#13094014C2211yescharacteristic, complemented
40C2×#13094009C2211yescharacteristic
41C2×#13094009C2211yescharacteristic
42C2×#13094007C2211yescharacteristic, complemented
43C2×#13094006C2211yescharacteristic
44C2×#13094006C2211yescharacteristic
45C2×#13094006C2211yescharacteristic, complemented
46C2×#13094000C2211yescharacteristic
47C2×#13094000C2211yescharacteristic
48C2×#13094000C2211yescharacteristic, complemented
49C2×#13093997C2211yescharacteristic
50C2×#13093997C2211yescharacteristic
51C2×#13093996C2211yescharacteristic
52C2×#13093994C2211yescharacteristic
53C2×#13093992C2211yescharacteristic
54C2×#13093986C2211yescharacteristic
55C2×#13093986C2211yescharacteristic
56C2×C4×C22⋊D47C2211yescharacteristic
57C2×C4×C22⋊D47C2211yescharacteristic
58C2×(C22⋊D47)⋊C4C2211yescharacteristic
59C22×C4⋊Dic47C2211yescharacteristic
60C22×Dic47⋊C4C2211yescharacteristic
61C22×Dic47⋊C4C2211yescharacteristic
62C2×C4⋊C4×D47—28no—
63C2×C4⋊C4×D47C2211yescharacteristic
64C2×C4⋊C4×D47C2211yescharacteristic
65C2×C4⋊C4×D47C2211yescharacteristic
66C2×C4⋊C4×D47C2211yescharacteristic
67C2×C4⋊C4×D47C2211yescharacteristic
68C2×C4⋊C4×D47C2211yescharacteristic
69C2×C4⋊C4×D47C2211yescharacteristic
70C2×C4⋊C4×D47C2211yescharacteristic
71#15689064C2211yescharacteristic, complemented
72#15689064C2211yescharacteristic, complemented
73#15689063C2211yescharacteristic, complemented
74#15689063C2211yescharacteristic, complemented
75#15689062C2211yescharacteristic, complemented
76#15689061C2211yescharacteristic, complemented
77#15689059C2211yescharacteristic, complemented
78#15689058C2211yescharacteristic, complemented
79#15689058C2211yescharacteristic, complemented
80#15689057C2211yescharacteristic, complemented
81#15689057C2211yescharacteristic, complemented
82#15689057C2211yescharacteristic, complemented
83#15689056C2211yescharacteristic, complemented
84#15689056C2211yescharacteristic, complemented
85#15689056C2211yescharacteristic, complemented
86#15689054C2211yescharacteristic, complemented
87#15689054C2211yescharacteristic, complemented
88#15689053C2211yescharacteristic, complemented
89#15689051C2211yescharacteristic, complemented
90#15689051C2211yescharacteristic, complemented
91#15689050C2211yescharacteristic, complemented
92#15689049C2211yescharacteristic, complemented
93#15689046C2211yescharacteristic, complemented
94#15689045C2211yescharacteristic, complemented
95#15689045C2211yescharacteristic, complemented
96#15689042C2211yescharacteristic, complemented
97#15689039C2211yescharacteristic, complemented
98#15689038C2211yescharacteristic, complemented
99#15689020C2211yescharacteristic, complemented
100#15689019C2211yescharacteristic, complemented
101#15689018C2211yescharacteristic, complemented
102#15689016C2211yescharacteristic, complemented
103#15689014C2211yescharacteristic, complemented
104#15689013C2211yescharacteristic, complemented
105#15689011C2211yescharacteristic, complemented
106#15689010C2211yescharacteristic, complemented
107#15689009C2211yescharacteristic, complemented
108#15689009C2211yescharacteristic, complemented
109#15689008C2211yescharacteristic, complemented
110#15689008C2211yescharacteristic, complemented
111#15689007C2211yescharacteristic, complemented
112#15689006C2211yescharacteristic, complemented
113#15689005C2211yescharacteristic, complemented
114#15689005C2211yescharacteristic, complemented
115#15689004C2211yescharacteristic, complemented
116#15689004C2211yescharacteristic, complemented
117#15689003C2211yescharacteristic
118#15689003C2211yescharacteristic
119#15689002C2211yescharacteristic
120#15689002C2211yescharacteristic
121#15689002C2211yescharacteristic
122#15689001C2211yescharacteristic
123#15689001C2211yescharacteristic
124#15689001C2211yescharacteristic
125#15689001C2211yescharacteristic
126#15689001C2211yescharacteristic
127#15689001C2211yescharacteristic
128#15689000C2211yescharacteristic
129#15688999C2211yescharacteristic
130#15688999C2211yescharacteristic
131#15688999C2211yescharacteristic
132#15688999C2211yescharacteristic
133#15688999C2211yescharacteristic
134#15688999C2211yescharacteristic
135#15688998C2211yescharacteristic
136#15688997C2211yescharacteristic
137#15688997C2211yescharacteristic
138#15688997C2211yescharacteristic, complemented
139#15688996C2211yescharacteristic
140#15688996C2211yescharacteristic, complemented
141#15688995C2211yescharacteristic
142#15688995C2211yescharacteristic
143#15688995C2211yescharacteristic
144#15688995C2211yescharacteristic
145#15688994C2211yescharacteristic
146#15688994C2211yescharacteristic
147#15688994C2211yescharacteristic
148#15688994C2211yescharacteristic
149#15688994C2211yescharacteristic
150#15688994C2211yescharacteristic
151#15688994C2211yescharacteristic
152#15688994C2211yescharacteristic
153#15688994C2211yescharacteristic
154#15688994C2211yescharacteristic
155#15688994C2211yescharacteristic, complemented
156#15688985C2211yescharacteristic
157#15688985C2211yescharacteristic
158#15688985C2211yescharacteristic
159#15688985C2211yescharacteristic
160#15688983C2211yescharacteristic
161#15688982C2211yescharacteristic
162#15688982C2211yescharacteristic
163#15688981C2211yescharacteristic
164#15688980C2211yescharacteristic
165#15688980C2211yescharacteristic
166#15688978C2211yescharacteristic
167#15688978C2211yescharacteristic
168C22⋊C4×Dic47C2211yescharacteristic
169C4×(C2×D47)⋊C4C2211yescharacteristic
170C4×(C2×D47)⋊C4C2211yescharacteristic
171C4×C22⋊Dic47C2211yescharacteristic
172#15688970C2211yescharacteristic
173#15688970C2211yescharacteristic
174C2×C22⋊Q8×C47C2211yescharacteristic
175C2×C22⋊Q8×C47C2211yescharacteristic, complemented
176C2×C4×D4×C47C2211yescharacteristic
177C22×C4⋊C4×C47C2211yescharacteristic
178C47×#399C2211yescharacteristic, complemented
179C47×#398C2211yescharacteristic, complemented
180C47×#396C2211yescharacteristic, complemented
181C47×#395C2211yescharacteristic, complemented
182C47×#389C2211yescharacteristic, complemented
183C47×#387C2211yescharacteristic, complemented
184C47×#386C2211yescharacteristic
185C47×#386C2211yescharacteristic
186C47×#385C2211yescharacteristic
187C47×#385C2211yescharacteristic
188C47×#385C2211yescharacteristic, complemented
189C24×D47C2311yescharacteristic
190C22×D188C2311yescharacteristic
191C22×D188C2311yescharacteristic
192C22×C22⋊D47C2311yescharacteristic
193C22×C22⋊D47C2311yescharacteristic
194C22×C22⋊D47C2311yescharacteristic
195C22×C22⋊D47C2311yescharacteristic
196C23×Dic47C2311yescharacteristic
197C23×Dic47C2311yescharacteristic
198C23×Dic47C2311yescharacteristic
199C22×C4×D47—24no—
200C22×C4×D47—24no—
201C22×C4×D47—24no—
202C22×C4×D47—24no—
203C22×C4×D47—24no—
204C22×C4×D47—42no—
205C22×C4×D47—42no—
206C22×C4×D47—42no—
207C22×C4×D47—42no—
208C22×C4×D47C2311yescharacteristic
209C22×C4×D47C2311yescharacteristic
210C22×C4×D47C2311yescharacteristic
211C22×C4×D47C2311yescharacteristic
212C22×C4×D47C2311yescharacteristic
213C22×C4×D47C2311yescharacteristic
214C22×C4×D47C2311yescharacteristic
215C22×C4×D47C2311yescharacteristic
216C22×C4×D47C2311yescharacteristic
217C22×C4×D47C2311yescharacteristic
218C22×C4×D47C2311yescharacteristic
219C22×C4×D47C2311yescharacteristic
220C22×C4×D47C2311yescharacteristic
221#13094019—24no—
222#13094017—24no—
223#13094014—24no—
224#13094014—24no—
225#13094009—24no—
226#13094009—24no—
227#13094007—24no—
228#13094006—24no—
229#13094006—24no—
230#13094006—24no—
231#13094000—24no—
232#13094000—24no—
233#13094000—42no—
234#13093997—24no—
235#13093997—42no—
236#13093996—42no—
237#13093994—24no—
238#13093992—24no—
239#13093986—24no—
240#13093986—42no—
241C4×C22⋊D47—24no—
242C4×C22⋊D47—42no—
243(C22⋊D47)⋊C4—42no—
244C2×C4⋊Dic47—24no—
245C2×C4⋊Dic47C2311yescharacteristic
246C2×C4⋊Dic47C2311yescharacteristic
247C2×C4⋊Dic47C2311yescharacteristic
248C2×C4⋊Dic47C2311yescharacteristic
249C2×C4⋊Dic47C2311yescharacteristic
250C2×C4⋊Dic47C2311yescharacteristic
251C2×C4⋊Dic47C2311yescharacteristic
252C2×C4⋊Dic47C2311yescharacteristic
253C2×Dic47⋊C4—24no—
254C2×Dic47⋊C4—24no—
255C2×Dic47⋊C4C2311yescharacteristic
256C2×Dic47⋊C4C2311yescharacteristic
257C2×Dic47⋊C4C2311yescharacteristic
258C2×Dic47⋊C4C2311yescharacteristic
259C2×Dic47⋊C4C2311yescharacteristic
260C2×Dic47⋊C4C2311yescharacteristic
261C2×Dic47⋊C4C2311yescharacteristic
262C2×Dic47⋊C4C2311yescharacteristic
263C2×Dic47⋊C4C2311yescharacteristic
264C2×Dic47⋊C4C2311yescharacteristic
265C2×Dic47⋊C4C2311yescharacteristic
266C2×Dic47⋊C4C2311yescharacteristic
267C2×Dic47⋊C4C2311yescharacteristic
268C2×Dic47⋊C4C2311yescharacteristic
269C2×Dic47⋊C4C2311yescharacteristic
270C2×Dic47⋊C4C2311yescharacteristic
271C2×Dic47⋊C4C2311yescharacteristic
272C2×Dic47⋊C4C2311yescharacteristic
273C2×Dic47⋊C4C2311yescharacteristic
274C2×Dic47⋊C4C2311yescharacteristic
275C2×Dic47⋊C4C2311yescharacteristic
276C2×Dic47⋊C4C2311yescharacteristic
277C4⋊C4×D47—24no—
278C4⋊C4×D47—24no—
279C4⋊C4×D47—24no—
280C4⋊C4×D47—24no—
281C4⋊C4×D47—24no—
282C4⋊C4×D47—24no—
283C4⋊C4×D47—24no—
284C4⋊C4×D47D418yescomplemented
285C2×C22⋊Dic47C2311yescharacteristic
286C2×C22⋊Dic47C2311yescharacteristic
287C2×C22⋊Dic47C2311yescharacteristic
288C2×C22⋊Dic47C2311yescharacteristic
289C2×C22⋊Dic47C2311yescharacteristic
290C2×C22⋊Dic47C2311yescharacteristic
291C2×C22⋊Dic47C2311yescharacteristic
292C2×C22⋊Dic47C2311yescharacteristic
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×(C2×D47)⋊C4C2311yescharacteristic
300C2×(C2×D47)⋊C4C2311yescharacteristic
301C2×(C2×D47)⋊C4C2311yescharacteristic
302C2×(C2×D47)⋊C4C2311yescharacteristic
303C2×(C2×D47)⋊C4C2311yescharacteristic
304C2×(C2×D47)⋊C4C2311yescharacteristic
305C2×(C2×D47)⋊C4C2311yescharacteristic
306C2×(C2×D47)⋊C4C2311yescharacteristic
307C2×(C2×D47)⋊C4C2311yescharacteristic
308C2×(C2×D47)⋊C4C2311yescharacteristic
309C2×(C2×D47)⋊C4C2311yescharacteristic
310C2×(C2×D47)⋊C4C2311yescharacteristic
311C2×(C2×D47)⋊C4C2311yescharacteristic
312C2×(C2×D47)⋊C4C2311yescharacteristic
313C2×(C2×D47)⋊C4C2311yescharacteristic
314C2×(C2×D47)⋊C4C2311yescharacteristic
315C2×C4×Dic47C2311yescharacteristic
316C2×C4×Dic47C2311yescharacteristic
317C2×C4×Dic47C2311yescharacteristic
318C2×C4×Dic47C2311yescharacteristic
319C2×C4×Dic47C2311yescharacteristic
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
344C47⋊#95C2311yescharacteristic
345C47⋊#95C2311yescharacteristic
346C47⋊#95C2311yescharacteristic
347C47⋊#95C2311yescharacteristic
348C47⋊#95C2311yescharacteristic
349C47⋊#95C2311yescharacteristic
350C47⋊#95C2311yescharacteristic
351C47⋊#95C2311yescharacteristic
352C22×Q8×C47C2311yescharacteristic
353C22×D4×C47C2311yescharacteristic
354C23×C4×C47C2311yescharacteristic
355C23×C4×C47C2311yescharacteristic
356C23×C4×C47C2311yescharacteristic
357C23×C4×C47C2311yescharacteristic
358C22⋊Q8×C47—24no—
359C22⋊Q8×C47—42no—
360C4×D4×C47—42no—
361C2×C4⋊C4×C47—24no—
362C2×C4⋊C4×C47C2311yescharacteristic
363C2×C4⋊C4×C47C2311yescharacteristic
364C2×C4⋊C4×C47C2311yescharacteristic
365C2×C4⋊C4×C47C2311yescharacteristic
366C2×C4⋊C4×C47C2311yescharacteristic
367C2×C4⋊C4×C47C2311yescharacteristic
368C2×C4⋊C4×C47C2311yescharacteristic
369C2×C4⋊C4×C47C2311yescharacteristic
370C2×C4⋊C4×C47C2311yescharacteristic
371C2×C4⋊C4×C47C2311yescharacteristic
372C2×C4⋊C4×C47C2311yescharacteristic
373C2×C4⋊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×C22⋊C4×C47C2311yescharacteristic
382C2×C42×C47C2311yescharacteristic
383#95×C47C2311yescharacteristic
384#95×C47C2311yescharacteristic
385#95×C47C2311yescharacteristic
386#95×C47C2311yescharacteristic
387#95×C47C2311yescharacteristic
388#95×C47C2311yescharacteristic
389#95×C47C2311yescharacteristic
390#95×C47C2311yescharacteristic
391C24×C47C2411yescharacteristic
392C24×C47C2411yescharacteristic
393C23×D47—22no—
394C23×D47—22no—
395C23×D47—22no—
396C23×D47—22no—
397C23×D47—22no—
398C23×D47—22no—
399C23×D47#4114yes—
400C23×D47C2411yescharacteristic
401C23×D47C2411yescharacteristic
402C23×D47C2411yescharacteristic
403C2×Q8×C47—22no—
404C2×Q8×C47—41no—
405C2×Q8×C47—41no—
406C2×D4×C47—22no—
407C2×D4×C47—22no—
408C2×D4×C47—22no—
409C22×C4×C47—22no—
410C22×C4×C47—22no—
411C22×C4×C47—22no—
412C22×C4×C47—22no—
413C22×C4×C47—22no—
414C22×C4×C47—22no—
415C22×C4×C47—22no—
416C22×C4×C47—22no—
417C22×C4×C47—41no—
418C22×C4×C47—41no—
419C22×C4×C47—41no—
420C22×C4×C47—41no—
421C22×C4×C47C2411yescharacteristic
422C22×C4×C47C2411yescharacteristic
423C22×C4×C47C2411yescharacteristic
424C22×C4×C47C2411yescharacteristic
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
434C2×C22⋊D47—22no—
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—22no—
442C2×C22⋊D47—22no—
443C2×C22⋊D47—22no—
444C2×C22⋊D47—41no—
445C2×C22⋊D47—41no—
446C22×Dic47—22no—
447C22×Dic47—22no—
448C22×Dic47—22no—
449C22×Dic47—22no—
450C22×Dic47—22no—
451C22×Dic47—22no—
452C22×Dic47—22no—
453C22×Dic47—41no—
454C22×Dic47—41no—
455C22×Dic47C2411yescharacteristic
456C22×Dic47C2411yescharacteristic
457C22×Dic47C2411yescharacteristic
458C22×Dic47C2411yescharacteristic
459C22×Dic47C2411yescharacteristic
460C22×Dic47C2411yescharacteristic
461C22×Dic47C2411yescharacteristic
462C22×Dic47C2411yescharacteristic
463C22×Dic47C2411yescharacteristic
464C22×Dic47C2411yescharacteristic
465C22×Dic47C2411yescharacteristic
466C22×Dic47C2411yescharacteristic
467C22×Dic47C2411yescharacteristic
468C2×D188—22no—
469C2×D188—22no—
470C2×D188—22no—
471C2×D188—22no—
472C2×D188—22no—
473C2×D188—22no—
474C2×C4×D47—232no—
475C2×C4×D47—22no—
476C2×C4×D47—22no—
477C2×C4×D47—22no—
478C2×C4×D47—22no—
479C2×C4×D47—22no—
480C2×C4×D47—22no—
481C2×C4×D47—22no—
482C2×C4×D47—22no—
483C2×C4×D47—22no—
484C2×C4×D47—22no—
485C2×C4×D47—22no—
486C2×C4×D47—22no—
487C2×C4×D47—22no—
488C2×C4×D47—22no—
489C2×C4×D47—22no—
490C2×C4×D47—22no—
491C2×C4×D47—22no—
492C2×C4×D47—22no—
493C2×C4×D47—22no—
494C2×C4×D47—22no—
495C2×C4×D47—22no—
496C2×C4×D47—41no—
497C2×C4×D47—41no—
498C2×C4×D47—41no—
499C2×C4×D47—41no—
500C2×C4×D47—41no—
501C2×C4×D47—41no—
502C2×C4×D47—41no—
503C2×C4×D47—41no—
504C2×C4×D47—41no—
505C2×C4×D47—41no—
506C2×C4×D47—41no—
507C2×C4×D47—41no—
508C2×C4×D47—416no—
509C2×C4×D47—416no—
510C2×C4×D47—41no—
511C2×C4×D47—41no—
512C2×C4×D47C2×D414yes—
513C2×C4×D47C2×D414yes—
514C2×C4×D47C2×D414yes—
515C2×C4×D47#4114yes—
516C4⋊C4×C47—22no—
517C4⋊C4×C47—22no—
518C4⋊C4×C47—22no—
519C4⋊C4×C47—22no—
520C4⋊C4×C47—22no—
521C4⋊C4×C47—22no—
522C4⋊C4×C47—41no—
523C4⋊C4×C47—41no—
524C4⋊C4×C47—41no—
525C4⋊C4×C47—41no—
526C4⋊C4×C47—41no—
527C4⋊C4×C47C2×D414yes—
528C22⋊C4×C47—22no—
529C22⋊C4×C47—22no—
530C22⋊C4×C47—22no—
531C22⋊C4×C47—22no—
532C22⋊C4×C47—22no—
533C22⋊C4×C47—22no—
534C22⋊C4×C47—41no—
535C22⋊C4×C47—41no—
536C42×C47—41no—
537C22⋊Dic47—22no—
538C22⋊Dic47—22no—
539C22⋊Dic47—22no—
540C22⋊Dic47—22no—
541C22⋊Dic47—22no—
542C22⋊Dic47—22no—
543C22⋊Dic47—41no—
544C22⋊Dic47—41no—
545(C2×D47)⋊C4—22no—
546(C2×D47)⋊C4—22no—
547(C2×D47)⋊C4—22no—
548(C2×D47)⋊C4—22no—
549(C2×D47)⋊C4—22no—
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)⋊C4—22no—
557(C2×D47)⋊C4—22no—
558(C2×D47)⋊C4—22no—
559(C2×D47)⋊C4—22no—
560(C2×D47)⋊C4—22no—
561(C2×D47)⋊C4—22no—
562(C2×D47)⋊C4—22no—
563(C2×D47)⋊C4—41no—
564(C2×D47)⋊C4—41no—
565(C2×D47)⋊C4—41no—
566(C2×D47)⋊C4—41no—
567C4⋊Dic47—22no—
568C4⋊Dic47—22no—
569C4⋊Dic47—22no—
570C4⋊Dic47—22no—
571C4⋊Dic47—22no—
572C4⋊Dic47—22no—
573C4⋊Dic47—41no—
574C4⋊Dic47C2×D414yes—
575Dic47⋊C4—22no—
576Dic47⋊C4—22no—
577Dic47⋊C4—22no—
578Dic47⋊C4—22no—
579Dic47⋊C4—22no—
580Dic47⋊C4—22no—
581Dic47⋊C4—22no—
582Dic47⋊C4—22no—
583Dic47⋊C4—22no—
584Dic47⋊C4—22no—
585Dic47⋊C4—22no—
586Dic47⋊C4—22no—
587Dic47⋊C4—22no—
588Dic47⋊C4—22no—
589Dic47⋊C4—41no—
590Dic47⋊C4—41no—
591Dic47⋊C4—41no—
592Dic47⋊C4—41no—
593Dic47⋊C4—41no—
594Dic47⋊C4—41no—
595Dic47⋊C4C2×D414yes—
596Dic47⋊C4C2×D414yes—
597C4×Dic47—22no—
598C4×Dic47—22no—
599C4×Dic47—41no—
600C4×Dic47—41no—
601C4×Dic47—41no—
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×C47C2×#4112yes—
614C23×C47H(5,𝔽2)12yes—
615C23×C472−1+412yes—
616C23×C47C2511yescharacteristic
617C22×D47—28no—
618C22×D47—28no—
619C22×D47—28no—
620C22×D47—28no—
621C22×D47—28no—
622C22×D47—21no—
623C22×D47—21no—
624C22×D47—21no—
625C22×D47—21no—
626C22×D47—21no—
627C22×D47—21no—
628C22×D47—21no—
629C22×D47—21no—
630C22×D47—28no—
631C22×D47—28no—
632C22×D47—21no—
633C22×D47—21no—
634C22×D47—21no—
635C22×D47—21no—
636C22×D47—21no—
637C22×D47—21no—
638C22×D47—21no—
639C22×D47C22×D412yes—
640C22×D47C2×#4112yes—
641C22×D47C2×#4112yes—
642C22×D47C2×#4112yes—
643C22×D47H(5,𝔽2)12yes—
644C22×D472−1+412yes—
645Q8×C47—82no—
646D4×C47—44no—
647C2×C4×C47—28no—
648C2×C4×C47—21no—
649C2×C4×C47—21no—
650C2×C4×C47—21no—
651C2×C4×C47—21no—
652C2×C4×C47—21no—
653C2×C4×C47—21no—
654C2×C4×C47—21no—
655C2×C4×C47—21no—
656C2×C4×C47—21no—
657C2×C4×C47—21no—
658C2×C4×C47—21no—
659C2×C4×C47—21no—
660C2×C4×C47—21no—
661C2×C4×C47—21no—
662C2×C4×C47—21no—
663C2×C4×C47—21no—
664C2×C4×C47—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—21no—
677C2×C4×C47—21no—
678C2×C4×C47—21no—
679C2×C4×C47—21no—
680C2×C4×C47—21no—
681C2×C4×C47—21no—
682C2×C4×C47—21no—
683C2×C4×C47—44no—
684C2×C4×C47—44no—
685C2×C4×C47—82no—
686C2×C4×C47C22×D412yes—
687C2×C4×C47C22×D412yes—
688C2×C4×C47C22×D412yes—
689C2×C4×C47C2×#4112yes—
690C22⋊D47—44no—
691C22⋊D47—44no—
692C22⋊D47—44no—
693C22⋊D47—82no—
694C2×Dic47—28no—
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×Dic47C22×D412yes—
733C2×Dic47C22×D412yes—
734C2×Dic47C22×D412yes—
735C2×Dic47C2×#4112yes—
736D188—44no—
737D188—44no—
738C4×D47—28no—
739C4×D47—28no—
740C4×D47—28no—
741C4×D47—28no—
742C4×D47—44no—
743C4×D47—44no—
744C4×D47—44no—
745C4×D47—44no—
746C4×D47—44no—
747C4×D47—44no—
748C4×D47—44no—
749C4×D47—44no—
750C4×D47—82no—
751#34989—471nomaximal, Sylow
752C22×C47—22no—
753C22×C47—22no—
754C22×C47—22no—
755C22×C47—22no—
756C22×C47—22no—
757C22×C47—22no—
758C22×C47—41no—
759C22×C47—41no—
760C22×C47—41no—
761C22×C47—41no—
762C22×C47—41no—
763C22×C47—41no—
764C22×C47—41no—
765C22×C47#53914yescomplemented
766C22×C47C23×D411yescharacteristic
767C22×C47C22×#4111yescharacteristic
768C22×C47C22×#4111yescharacteristic
769C22×C47C2×H(5,𝔽2)11yescharacteristic
770C22×C47C2×H(5,𝔽2)11yescharacteristic
771C22×C47C2×2−1+411yescharacteristic
772C22×C47C2×2−1+411yescharacteristic
773C2×D47—232no—
774C2×D47—22no—
775C2×D47—22no—
776C2×D47—22no—
777C2×D47—22no—
778C2×D47—22no—
779C2×D47—22no—
780C2×D47—22no—
781C2×D47—22no—
782C2×D47—22no—
783C2×D47—22no—
784C2×D47—22no—
785C2×D47—22no—
786C2×D47—41no—
787C2×D47—41no—
788C2×D47—41no—
789C2×D47—41no—
790C2×D47—41no—
791C2×D47—41no—
792C2×D47—41no—
793C2×D47#52514yes—
794C2×D47#53914yescomplemented
795C4×C47—22no—
796C4×C47—22no—
797C4×C47—22no—
798C4×C47—22no—
799C4×C47—41no—
800C4×C47—41no—
801C4×C47—41no—
802C4×C47—41no—
803C4×C47—41no—
804C4×C47—41no—
805C4×C47—41no—
806C4×C47—41no—
807C4×C47—41no—
808Dic47—22no—
809Dic47—22no—
810Dic47—22no—
811Dic47—22no—
812Dic47—41no—
813Dic47—41no—
814Dic47—41no—
815Dic47—41no—
816Dic47—41no—
817Dic47—41no—
818Dic47—41no—
819Dic47—41no—
820Dic47—41no—
821C2×#539—471no—
822C23×C4⋊C4—471no—
823#2849—471no—
824#2849—471no—
825#2848—471no—
826#2847—471no—
827#2627—471no—
828#2623—471no—
829#2623—471no—
830#2618—471no—
831#2481—471no—
832#2481—471no—
833#2481—471no—
834#2481—471no—
835#2473—471no—
836#2473—471no—
837#2473—471no—
838#2473—471no—
839#2449—471no—
840#2449—471no—
841#2449—471no—
842#2449D4711yescharacteristic, complemented
843#2443—471no—
844#2443—471no—
845#2443—471no—
846#2443—471no—
847#2322—471no—
848#2322—471no—
849#2313—471no—
850C4×#120—471no—
851C4×#120—471no—
852C2×C47—24no—
853C2×C47—81no—
854C2×C47C2×#52511yescharacteristic
855C2×C47C2×#53911yescharacteristic
856C2×C47C2×#53911yescharacteristic
857C2×C47#348411yescharacteristic
858C2×C47#348611yescharacteristic
859C2×C47#349211yescharacteristic
860C2×C47#349211yescharacteristic
861D47—24no—
862D47—24no—
863D47—81no—
864C24×C4—471no—
865C24×C4—471no—
866C24×C4—471no—
867#539—948no—
868C2×#126—471no—
869C2×#126—471no—
870C2×#125—471no—
871C2×#125—471no—
872C2×#123—471no—
873C2×#123—471no—
874C2×#123—471no—
875C2×#123—471no—
876C2×#123—471no—
877C2×#123—471no—
878C2×C22⋊Q8—471no—
879C2×C22⋊Q8—471no—
880C2×C22⋊Q8—471no—
881C2×C22⋊Q8C2×D4711yescharacteristic
882C2×C22⋊Q8C2×D4711yescharacteristic, complemented
883C2×#121—471no—
884C2×#121—471no—
885C2×#121—471no—
886C2×#120—471no—
887C2×#120—471no—
888C2×C4×D4—471no—
889C2×C4×D4—471no—
890C2×C4×D4—471no—
891C2×C4×D4—471no—
892C2×C4×D4—471no—
893C2×C4×D4C2×D4711yescharacteristic
894C22×C4⋊C4—471no—
895C22×C4⋊C4—471no—
896C22×C4⋊C4—471no—
897C22×C4⋊C4—471no—
898C22×C4⋊C4—471no—
899C22×C4⋊C4—471no—
900C22×C4⋊C4—471no—
901C22×C4⋊C4—471no—
902C22×C4⋊C4—471no—
903C22×C4⋊C4—471no—
904C22×C4⋊C4—471no—
905C22×C4⋊C4—948no—
906C22×C4⋊C4C2×D4711yescharacteristic
907#400—471no—
908#400—471no—
909#400—471no—
910#400—471no—
911#400—471no—
912#400—471no—
913#399—471no—
914#399—471no—
915#399—471no—
916#399C2×D4711yescharacteristic, complemented
917#398—471no—
918#398—471no—
919#398—471no—
920#398—471no—
921#398—471no—
922#398—471no—
923#398—471no—
924#398—471no—
925#398—471no—
926#398C2×D4711yescharacteristic, complemented
927#397—471no—
928#397—471no—
929#397—471no—
930#397—471no—
931#396—471no—
932#396—471no—
933#396—471no—
934#396C2×D4711yescharacteristic, complemented
935#395—471no—
936#395C2×D4711yescharacteristic, complemented
937#394—471no—
938#394—471no—
939#389—471no—
940#389—471no—
941#389—471no—
942#389C2×D4711yescharacteristic, complemented
943#388—471no—
944#388—471no—
945#388—471no—
946#388—471no—
947#387—471no—
948#387—471no—
949#387—471no—
950#387—471no—
951#387—471no—
952#387—471no—
953#387—471no—
954#387—471no—
955#387—471no—
956#387—471no—
957#387—471no—
958#387C2×D4711yescharacteristic, complemented
959#386—471no—
960#386—471no—
961#386—471no—
962#386—471no—
963#386—471no—
964#386—471no—
965#386—471no—
966#386—471no—
967#386—471no—
968#386—471no—
969#386—471no—
970#386—471no—
971#386—471no—
972#386—471no—
973#386—471no—
974#386—471no—
975#386—471no—
976#386—471no—
977#386C2×D4711yescharacteristic
978#386C2×D4711yescharacteristic
979#385—471no—
980#385—471no—
981#385—471no—
982#385—471no—
983#385—471no—
984#385—471no—
985#385—471no—
986#385—471no—
987#385—471no—
988#385—471no—
989#385—471no—
990#385—471no—
991#385—471no—
992#385—471no—
993#385—471no—
994#385—471no—
995#385—471no—
996#385—471no—
997#385—471no—
998#385—471no—
999#385—471no—
1000#385C2×D4711yescharacteristic
1001#385C2×D4711yescharacteristic
1002#385C2×D4711yescharacteristic, complemented
1003#381—471no—
1004#381—471no—
1005#381—471no—
1006#381—471no—
1007#380—471no—
1008#380—471no—
1009#380—471no—
1010#380—471no—
1011#380—471no—
1012#380—471no—
1013#379—471no—
1014#379—471no—
1015C4×C22⋊C4—471no—
1016C4×C22⋊C4—471no—
1017C4×C22⋊C4—471no—
1018C4×C22⋊C4—471no—
1019C4×C22⋊C4—471no—
1020C4×C22⋊C4—471no—
1021C47#3498911yescharacteristic, complemented, Sylow
1022C25—471no—
1023C22×Q8C22×D4711yescharacteristic
1024C22×D4—471no—
1025C22×D4—471no—
1026C22×D4—471no—
1027C22×D4—471no—
1028C22×D4—471no—
1029C22×D4—471no—
1030C22×D4C22×D4711yescharacteristic
1031C23×C4—471no—
1032C23×C4—471no—
1033C23×C4—471no—
1034C23×C4—471no—
1035C23×C4—471no—
1036C23×C4—471no—
1037C23×C4—471no—
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×C4—944no—
1048C23×C4—944no—
1049C23×C4—944no—
1050C23×C4—944no—
1051C23×C4—944no—
1052C23×C4—1882no—
1053C23×C4—1882no—
1054C23×C4—1882no—
1055C23×C4—1882no—
1056C23×C4C22×D4711yescharacteristic
1057C23×C4C22×D4711yescharacteristic
1058C23×C4C22×D4711yescharacteristic
1059C23×C4C22×D4711yescharacteristic
1060#126—944no—
1061#126—944no—
1062#125—944no—
1063#125—944no—
1064#123—944no—
1065#123—944no—
1066#123—944no—
1067#123—944no—
1068#123—944no—
1069#123—944no—
1070C22⋊Q8—24no—
1071C22⋊Q8—42no—
1072C22⋊Q8—944no—
1073C22⋊Q8—944no—
1074C22⋊Q8—1882no—
1075#121—944no—
1076#121—1882no—
1077#121—1882no—
1078#120—944no—
1079#120—944no—
1080C4×D4—42no—
1081C4×D4—944no—
1082C4×D4—944no—
1083C4×D4—1882no—
1084C4×D4—1882no—
1085C4×D4—1882no—
1086C2×C4⋊C4—24no—
1087C2×C4⋊C4—471no—
1088C2×C4⋊C4—471no—
1089C2×C4⋊C4—471no—
1090C2×C4⋊C4—478no—
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—471no—
1110C2×C4⋊C4—471no—
1111C2×C4⋊C4—471no—
1112C2×C4⋊C4—471no—
1113C2×C4⋊C4—471no—
1114C2×C4⋊C4—471no—
1115C2×C4⋊C4—471no—
1116C2×C4⋊C4—471no—
1117C2×C4⋊C4—471no—
1118C2×C4⋊C4—944no—
1119C2×C4⋊C4—944no—
1120C2×C4⋊C4—944no—
1121C2×C4⋊C4—944no—
1122C2×C4⋊C4—944no—
1123C2×C4⋊C4—944no—
1124C2×C4⋊C4—944no—
1125C2×C4⋊C4—944no—
1126C2×C4⋊C4—944no—
1127C2×C4⋊C4—944no—
1128C2×C4⋊C4C22×D4711yescharacteristic
1129C2×C4⋊C4C22×D4711yescharacteristic
1130C2×C4⋊C4C22×D4711yescharacteristic
1131C2×C4⋊C4C22×D4711yescharacteristic
1132C2×C4⋊C4C22×D4711yescharacteristic
1133C2×C4⋊C4C22×D4711yescharacteristic
1134C2×C4⋊C4C22×D4711yescharacteristic
1135C2×C4⋊C4C22×D4711yescharacteristic
1136C2×C4⋊C4C22×D4711yescharacteristic
1137C2×C4⋊C4C22×D4711yescharacteristic
1138C2×C4⋊C4C22×D4711yescharacteristic
1139C2×C4⋊C4C22×D4711yescharacteristic
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—471no—
1153C2×C22⋊C4—471no—
1154C2×C22⋊C4—471no—
1155C2×C22⋊C4—471no—
1156C2×C22⋊C4—471no—
1157C2×C22⋊C4—471no—
1158C2×C22⋊C4—471no—
1159C2×C22⋊C4—471no—
1160C2×C22⋊C4—471no—
1161C2×C22⋊C4—471no—
1162C2×C22⋊C4—471no—
1163C2×C22⋊C4—471no—
1164C2×C22⋊C4—471no—
1165C2×C22⋊C4—471no—
1166C2×C22⋊C4—471no—
1167C2×C22⋊C4—471no—
1168C2×C22⋊C4—471no—
1169C2×C22⋊C4—471no—
1170C2×C22⋊C4C22×D4711yescharacteristic
1171C2×C22⋊C4C22×D4711yescharacteristic
1172C2×C22⋊C4C22×D4711yescharacteristic
1173C2×C22⋊C4C22×D4711yescharacteristic
1174C2×C22⋊C4C22×D4711yescharacteristic
1175C2×C22⋊C4C22×D4711yescharacteristic
1176C2×C22⋊C4C22×D4711yescharacteristic
1177C2×C22⋊C4C22×D4711yescharacteristic
1178C2×C42—471no—
1179C2×C42—471no—
1180C2×C42—471no—
1181C2×C42—471no—
1182C2×C42—471no—
1183C2×C42C22×D4711yescharacteristic
1184#95—471no—
1185#95—471no—
1186#95—471no—
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#95C22×D4711yescharacteristic
1217#95C22×D4711yescharacteristic
1218#95C22×D4711yescharacteristic
1219#95C22×D4711yescharacteristic
1220#95C22×D4711yescharacteristic
1221#95C22×D4711yescharacteristic
1222#95C22×D4711yescharacteristic
1223#95C22×D4711yescharacteristic
1224C24—471no—
1225C24—471no—
1226C24—474no—
1227C24—471no—
1228C24—942no—
1229C24—942no—
1230C24—942no—
1231C24—942no—
1232C24—942no—
1233C24—942no—
1234C24C23×D4711yescharacteristic
1235C24C23×D4711yescharacteristic
1236C2×Q8—22no—
1237C2×Q8—41no—
1238C2×Q8—41no—
1239C2×D4—22no—
1240C2×D4—22no—
1241C2×D4—22no—
1242C2×D4—942no—
1243C2×D4—942no—
1244C2×D4—942no—
1245C2×D4—942no—
1246C2×D4—942no—
1247C2×D4—942no—
1248C2×D4—942no—
1249C2×D4—942no—
1250C2×D4—942no—
1251C2×D4—942no—
1252C2×D4—942no—
1253C2×D4—942no—
1254C2×D4—942no—
1255C2×D4—942no—
1256C2×D4—942no—
1257C2×D4—942no—
1258C2×D4—1881no—
1259C2×D4—1881no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—22no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—471no—
1273C22×C4—471no—
1274C22×C4—471no—
1275C22×C4—471no—
1276C22×C4—474no—
1277C22×C4—474no—
1278C22×C4—474no—
1279C22×C4—474no—
1280C22×C4—471no—
1281C22×C4—471no—
1282C22×C4—471no—
1283C22×C4—471no—
1284C22×C4—471no—
1285C22×C4—471no—
1286C22×C4—471no—
1287C22×C4—471no—
1288C22×C4—471no—
1289C22×C4—942no—
1290C22×C4—942no—
1291C22×C4—942no—
1292C22×C4—942no—
1293C22×C4—942no—
1294C22×C4—942no—
1295C22×C4—942no—
1296C22×C4—942no—
1297C22×C4—942no—
1298C22×C4—942no—
1299C22×C4—942no—
1300C22×C4—9432no—
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—942no—
1311C22×C4—942no—
1312C22×C4—942no—
1313C22×C4—942no—
1314C22×C4—942no—
1315C22×C4—942no—
1316C22×C4—942no—
1317C22×C4—942no—
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—18816no—
1333C22×C4—18816no—
1334C22×C4—1881no—
1335C22×C4—1881no—
1336C22×C4C23×D4711yescharacteristic
1337C22×C4C23×D4711yescharacteristic
1338C22×C4C23×D4711yescharacteristic
1339C22×C4C23×D4711yescharacteristic
1340C22×C4C23×D4711yescharacteristic
1341C22×C4C23×D4711yescharacteristic
1342C22×C4C23×D4711yescharacteristic
1343C22×C4C23×D4711yescharacteristic
1344C22×C4C23×D4711yescharacteristic
1345C22×C4C23×D4711yescharacteristic
1346C22×C4C23×D4711yescharacteristic
1347C22×C4C23×D4711yescharacteristic
1348C22×C4C23×D4711yescharacteristic
1349C4⋊C4—22no—
1350C4⋊C4—22no—
1351C4⋊C4—22no—
1352C4⋊C4—22no—
1353C4⋊C4—22no—
1354C4⋊C4—22no—
1355C4⋊C4—41no—
1356C4⋊C4—41no—
1357C4⋊C4—41no—
1358C4⋊C4—41no—
1359C4⋊C4—41no—
1360C4⋊C4—474no—
1361C4⋊C4—474no—
1362C4⋊C4—474no—
1363C4⋊C4—942no—
1364C4⋊C4—942no—
1365C4⋊C4—942no—
1366C4⋊C4—942no—
1367C4⋊C4—942no—
1368C4⋊C4—942no—
1369C4⋊C4—942no—
1370C4⋊C4—942no—
1371C4⋊C4—942no—
1372C4⋊C4—942no—
1373C4⋊C4—942no—
1374C4⋊C4—942no—
1375C4⋊C4—942no—
1376C4⋊C4—942no—
1377C4⋊C4—942no—
1378C4⋊C4—942no—
1379C4⋊C4—942no—
1380C4⋊C4—942no—
1381C4⋊C4—942no—
1382C4⋊C4—942no—
1383C4⋊C4—1881no—
1384C4⋊C4—1881no—
1385C4⋊C4—1881no—
1386C4⋊C4—1881no—
1387C4⋊C4—1881no—
1388C4⋊C4—1881no—
1389C4⋊C4—1881no—
1390C4⋊C4D4×D4714yes—
1391C22⋊C4—22no—
1392C22⋊C4—22no—
1393C22⋊C4—22no—
1394C22⋊C4—22no—
1395C22⋊C4—22no—
1396C22⋊C4—22no—
1397C22⋊C4—41no—
1398C22⋊C4—41no—
1399C22⋊C4—942no—
1400C22⋊C4—942no—
1401C22⋊C4—942no—
1402C22⋊C4—942no—
1403C22⋊C4—942no—
1404C22⋊C4—942no—
1405C22⋊C4—942no—
1406C22⋊C4—942no—
1407C22⋊C4—942no—
1408C22⋊C4—942no—
1409C22⋊C4—942no—
1410C22⋊C4—942no—
1411C22⋊C4—942no—
1412C22⋊C4—942no—
1413C22⋊C4—942no—
1414C22⋊C4—942no—
1415C22⋊C4—942no—
1416C22⋊C4—942no—
1417C22⋊C4—942no—
1418C22⋊C4—942no—
1419C22⋊C4—942no—
1420C22⋊C4—942no—
1421C22⋊C4—942no—
1422C22⋊C4—942no—
1423C22⋊C4—1881no—
1424C22⋊C4—1881no—
1425C22⋊C4—1881no—
1426C22⋊C4—1881no—
1427C22⋊C4—1881no—
1428C22⋊C4—1881no—
1429C42—41no—
1430C42—942no—
1431C42—942no—
1432C42—1881no—
1433C42—1881no—
1434C42—1881no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—472no—
1447C23—472no—
1448C23—472no—
1449C23—472no—
1450C23—472no—
1451C23—472no—
1452C23—948no—
1453C23—948no—
1454C23—948no—
1455C23—948no—
1456C23—948no—
1457C23—948no—
1458C23—941no—
1459C23—941no—
1460C23—941no—
1461C23—941no—
1462C23—941no—
1463C23—941no—
1464C23—941no—
1465C23—941no—
1466C23—948no—
1467C23—941no—
1468C23—941no—
1469C23—941no—
1470C23—941no—
1471C23—941no—
1472C23—941no—
1473C23—941no—
1474C23#41×D4712yes—
1475C23#1309406912yes—
1476C23#1309407212yes—
1477C23C24×D4711yescharacteristic
1478Q8—82no—
1479D4—44no—
1480D4—3762no—
1481D4—1884no—
1482D4—1884no—
1483D4—1884no—
1484D4—1884no—
1485D4—1884no—
1486C2×C4—28no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
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—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—44no—
1523C2×C4—44no—
1524C2×C4—82no—
1525C2×C4—472no—
1526C2×C4—472no—
1527C2×C4—472no—
1528C2×C4—472no—
1529C2×C4—948no—
1530C2×C4—948no—
1531C2×C4—948no—
1532C2×C4—948no—
1533C2×C4—948no—
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—941no—
1565C2×C4—941no—
1566C2×C4—941no—
1567C2×C4—941no—
1568C2×C4—941no—
1569C2×C4—3762no—
1570C2×C4—1884no—
1571C2×C4—1884no—
1572C2×C4—1884no—
1573C2×C4—1884no—
1574C2×C4—1884no—
1575C2×C4—1884no—
1576C2×C4—1884no—
1577C2×C4—1884no—
1578C2×C4—1884no—
1579C2×C4—1884no—
1580C2×C4C2×D4×D4712yes—
1581C2×C4C2×D4×D4712yes—
1582C2×C4C2×D4×D4712yes—
1583C2×C4#41×D4712yes—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—474no—
1598C22—474no—
1599C22—9432no—
1600C22—942no—
1601C22—942no—
1602C22—942no—
1603C22—942no—
1604C22—942no—
1605C22—942no—
1606C22—942no—
1607C22—942no—
1608C22—942no—
1609C22—942no—
1610C22—942no—
1611C22—942no—
1612C22—1881no—
1613C22—1881no—
1614C22—1881no—
1615C22—1881no—
1616C22—1881no—
1617C22—1881no—
1618C22—1881no—
1619C22#1568971914yescomplemented
1620C22C22×D4×D4711yescharacteristic
1621C22C2×#41×D4711yescharacteristic
1622C22C2×#41×D4711yescharacteristic
1623C22H(5,𝔽2)×D4711yescharacteristic
1624C22C2×#1309406911yescharacteristic
1625C222−1+4×D4711yescharacteristic
1626C22C2×#1309407211yescharacteristic
1627C4—22no—
1628C4—22no—
1629C4—22no—
1630C4—22no—
1631C4—41no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—942no—
1641C4—942no—
1642C4—942no—
1643C4—942no—
1644C4—1881no—
1645C4—1881no—
1646C4—1881no—
1647C4—1881no—
1648C4—1881no—
1649C4—1881no—
1650C4—1881no—
1651C4—1881no—
1652C4—1881no—
1653C2—24no—
1654C2—81no—
1655C2—944no—
1656C2—944no—
1657C2—3761no—
1658C2#525×D4711yescharacteristic
1659C2#539×D4711yescharacteristic
1660C2C2×#1568971911yescharacteristic
1661C2#2025701611yescharacteristic
1662C2#2025703811yescharacteristic
1663C2#2025709011yescharacteristic
1664C2#2025709611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2449C2
prime radical#20251669C2
hypercenter#2449D47
hypocenterC47#34989
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2449

Complements

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

NH ≅ G/Ntype
1. C2×#15689719C2semidirect
2. C22×C4⋊C4×D47C2semidirect
3. #20251683C2semidirect
4. #20251679C2semidirect
5. #20251672C2semidirect
7. #20249200C2semidirect
8. #20249173C2semidirect
9. #20249169C2semidirect
10. #20249135C2semidirect
11. #20247654C2semidirect
12. #20247650C2semidirect
13. #20247647C2semidirect
14. #20247643C2semidirect
15. #20247535C2semidirect
16. #20247531C2semidirect
17. #20247526C2semidirect
18. #20247522C2semidirect
19. #20247194C2semidirect
20. #20247193C2semidirect
21. #20247190C2semidirect
22. #20247129C2semidirect
23. #20247126C2semidirect
24. #20247122C2semidirect
25. #20247117C2semidirect
26. #20246055C2semidirect
27. #20246052C2semidirect
28. #20245987C2semidirect
29. #20245889C2semidirect
30. C4×#13093992C2semidirect
31. C47×#2449C2semidirect
36. C2×#13094019C22semidirect
37. C2×#13094017C22semidirect
38. C2×#13094014C22semidirect
39. C2×#13094014C22semidirect
42. C2×#13094007C22semidirect
45. C2×#13094006C22semidirect
48. C2×#13094000C22semidirect
71. #15689064C22semidirect
72. #15689064C22semidirect
73. #15689063C22semidirect
74. #15689063C22semidirect
75. #15689062C22semidirect
76. #15689061C22semidirect
77. #15689059C22semidirect
78. #15689058C22semidirect
79. #15689058C22semidirect
80. #15689057C22semidirect
81. #15689057C22semidirect
82. #15689057C22semidirect
83. #15689056C22semidirect
84. #15689056C22semidirect
85. #15689056C22semidirect
86. #15689054C22semidirect
87. #15689054C22semidirect
88. #15689053C22semidirect
89. #15689051C22semidirect
90. #15689051C22semidirect
91. #15689050C22semidirect
92. #15689049C22semidirect
93. #15689046C22semidirect
94. #15689045C22semidirect
95. #15689045C22semidirect
96. #15689042C22semidirect
97. #15689039C22semidirect
98. #15689038C22semidirect
99. #15689020C22semidirect
100. #15689019C22semidirect
101. #15689018C22semidirect
102. #15689016C22semidirect
103. #15689014C22semidirect
104. #15689013C22semidirect
105. #15689011C22semidirect
106. #15689010C22semidirect
107. #15689009C22semidirect
108. #15689009C22semidirect
109. #15689008C22semidirect
110. #15689008C22semidirect
111. #15689007C22semidirect
112. #15689006C22semidirect
113. #15689005C22semidirect
114. #15689005C22semidirect
115. #15689004C22semidirect
116. #15689004C22semidirect
138. #15688997C22semidirect
140. #15688996C22semidirect
155. #15688994C22semidirect
175. C2×C22⋊Q8×C47C22semidirect
178. C47×#399C22semidirect
179. C47×#398C22semidirect
180. C47×#396C22semidirect
181. C47×#395C22semidirect
182. C47×#389C22semidirect
183. C47×#387C22semidirect
188. C47×#385C22semidirect
284. C4⋊C4×D47D4semidirect
765. C22×C47#539semidirect
794. C2×D47#539semidirect
842. #2449D47semidirect
882. C2×C22⋊Q8C2×D47semidirect
916. #399C2×D47semidirect
926. #398C2×D47semidirect
934. #396C2×D47semidirect
936. #395C2×D47semidirect
942. #389C2×D47semidirect
958. #387C2×D47semidirect
1002. #385C2×D47semidirect
1021. C47#34989semidirect
1619. C22#15689719semidirect

Maximal subgroups

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

subgroupindex
C2×#156897192
C22×C4⋊C4×D472
#202516832
#202516792
#202516722
#202516692
#202492002
#202491732
#202491692
#202491352
#202476542
#202476502
#202476472
#202476432
#202475352
#202475312
#202475262
#202475222
#202471942
#202471932
#202471902
#202471292
#202471262
#202471222
#202471172
#202460552
#202460522
#202459872
#202458892
C4×#130939922
C47×#24492
#3498947