Finite Group Databasebeta

← #26376208

Subgroups — #26376208

Order 12032.

2600 conjugacy classes of subgroups.

The subgroup lattice has 1544 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689818C211yesmaximal, characteristic
2#20246522C211yesmaximal, characteristic, complemented
3#20246515C211yesmaximal, characteristic, complemented
4#20246502C211yesmaximal, characteristic, complemented
5#20246485C211yesmaximal, characteristic, complemented
6#20246439C211yesmaximal, characteristic, complemented
7#20246437C211yesmaximal, characteristic, complemented
8#20246423C211yesmaximal, characteristic, complemented
9#20246401C211yesmaximal, characteristic, complemented
10#20246362C211yesmaximal, characteristic, complemented
11#20246331C211yesmaximal, characteristic, complemented
12#20246327C211yesmaximal, characteristic, complemented
13#20246316C211yesmaximal, characteristic, complemented
14#20246278C211yesmaximal, characteristic, complemented
15#20246262C211yesmaximal, characteristic, complemented
16#20245945C211yesmaximal, characteristic, complemented
17#20245942C211yesmaximal, characteristic, complemented
18#20245938C211yesmaximal, characteristic, complemented
19#20245915C211yesmaximal, characteristic, complemented
20#123×Dic47C211yesmaximal, characteristic, complemented
21#20245904C211yesmaximal, characteristic, complemented
22#20245900C211yesmaximal, characteristic, complemented
23#20245900C211yesmaximal, characteristic, complemented
24#20245898C211yesmaximal, characteristic, complemented
25C4×#13093986C211yesmaximal, characteristic, complemented
26C4×(C22⋊D47)⋊C4C211yesmaximal, characteristic, complemented
27C4×(C22⋊D47)⋊C4C211yesmaximal, characteristic, complemented
28C4×(C22⋊D47)⋊C4C211yesmaximal, characteristic, complemented
29C4×#13093980C211yesmaximal, characteristic, complemented
30C4×C4⋊C4×D47C211yesmaximal, characteristic, complemented
31C47×#2374C211yesmaximal, characteristic, complemented
32#15689818C4116yescomplemented
33C2×#13094019C2211yescharacteristic
34C2×#13094017C2211yescharacteristic
35C2×#13094014C2211yescharacteristic
36C2×#13094006C2211yescharacteristic
37C2×#13093997C2211yescharacteristic
38C2×#13093997C2211yescharacteristic
39C2×#13093996C2211yescharacteristic
40C2×#13093995C2211yescharacteristic
41C2×C4×D188C2211yescharacteristic
42C2×D4×Dic47C2211yescharacteristic
43C2×#13093986C2211yescharacteristic
44C2×#13093986C2211yescharacteristic
45C2×C4×C22⋊D47C2211yescharacteristic
46C2×C4×C22⋊D47C2211yescharacteristic
47C2×C4×C22⋊D47C2211yescharacteristic
48C2×(C22⋊D47)⋊C4C2211yescharacteristic
49C2×(C22⋊D47)⋊C4C2211yescharacteristic
50C2×(C22⋊D47)⋊C4C2211yescharacteristic
51C2×(C22⋊D47)⋊C4C2211yescharacteristic
52C2×(C22⋊D47)⋊C4C2211yescharacteristic
53C2×(C22⋊D47)⋊C4C2211yescharacteristic
54C2×(C22⋊D47)⋊C4C2211yescharacteristic
55C2×#13093980C2211yescharacteristic
56C2×#13093980C2211yescharacteristic
57C2×C4⋊C4×D47C2211yescharacteristic
58C2×C4⋊C4×D47C2211yescharacteristic
59C22×C4×Dic47C2211yescharacteristic
60C22×C4×Dic47C2211yescharacteristic
61C2×C42×D47C2211yescharacteristic
62C2×C42×D47C2211yescharacteristic
63C2×C42×D47C2211yescharacteristic
64C2×C42×D47C2211yescharacteristic
65#15689023C2211yescharacteristic
66#15689023C2211yescharacteristic
67#15689023C2211yescharacteristic
68#15689021C2211yescharacteristic
69#15689020C2211yescharacteristic
70#15689020C2211yescharacteristic
71#15689018C2211yescharacteristic
72#15689018C2211yescharacteristic
73#15689018C2211yescharacteristic
74#15689017C2211yescharacteristic
75#15689017C2211yescharacteristic
76#15689017C2211yescharacteristic
77#15689016C2211yescharacteristic
78#15689016C2211yescharacteristic
79#15689015C2211yescharacteristic
80#15689015C2211yescharacteristic
81#15689014C2211yescharacteristic
82#15689014C2211yescharacteristic
83#15689014C2211yescharacteristic
84#15689013C2211yescharacteristic
85#15689011C2211yescharacteristic
86#15689011C2211yescharacteristic
87#15689011C2211yescharacteristic
88#15689010C2211yescharacteristic
89#15689010C2211yescharacteristic
90#15689009C2211yescharacteristic
91#15689009C2211yescharacteristic
92#15689008C2211yescharacteristic
93#15689008C2211yescharacteristic
94#15689007C2211yescharacteristic
95#15689007C2211yescharacteristic
96#15689007C2211yescharacteristic
97#15689006C2211yescharacteristic
98#15689006C2211yescharacteristic
99#15689004C2211yescharacteristic
100#15689003C2211yescharacteristic
101#15689002C2211yescharacteristic
102#15689001C2211yescharacteristic
103#15689001C2211yescharacteristic
104#15688999C2211yescharacteristic
105#15688999C2211yescharacteristic
106#15688999C2211yescharacteristic
107#15688999C2211yescharacteristic
108#15688999C2211yescharacteristic
109#15688998C2211yescharacteristic
110#15688994C2211yescharacteristic
111#15688990C2211yescharacteristic
112#15688990C2211yescharacteristic
113#15688987C2211yescharacteristic
114#15688986C2211yescharacteristic
115#15688985C2211yescharacteristic
116#15688982C2211yescharacteristic
117#15688982C2211yescharacteristic
118#15688981C2211yescharacteristic
119#15688980C2211yescharacteristic
120C4⋊C4×Dic47C2211yescharacteristic
121C4⋊C4×Dic47C2211yescharacteristic
122C4⋊C4×Dic47C2211yescharacteristic
123C4⋊C4×Dic47C2211yescharacteristic
124C4⋊C4×Dic47C2211yescharacteristic
125C4×Dic47⋊C4C2211yescharacteristic
126C4×Dic47⋊C4C2211yescharacteristic
127C4×Dic47⋊C4C2211yescharacteristic
128C4×Dic47⋊C4C2211yescharacteristic
129C4×Dic47⋊C4C2211yescharacteristic
130C4×Dic47⋊C4C2211yescharacteristic
131C4×Dic47⋊C4C2211yescharacteristic
132C4×C4⋊Dic47C2211yescharacteristic
133#15688974C2211yescharacteristic
134#15688974C2211yescharacteristic
135#15688974C2211yescharacteristic
136#15688974C2211yescharacteristic
137#15688974C2211yescharacteristic
138#15688974C2211yescharacteristic
139#15688974C2211yescharacteristic
140#15688974C2211yescharacteristic
141#15688974C2211yescharacteristic
142C22⋊C4×Dic47C2211yescharacteristic
143C22⋊C4×Dic47C2211yescharacteristic
144C22⋊C4×Dic47C2211yescharacteristic
145C22⋊C4×Dic47C2211yescharacteristic
146C22⋊C4×Dic47C2211yescharacteristic
147C22⋊C4×Dic47C2211yescharacteristic
148C22⋊C4×Dic47C2211yescharacteristic
149C22⋊C4×Dic47C2211yescharacteristic
150C22⋊C4×Dic47C2211yescharacteristic
151C4×(C2×D47)⋊C4C2211yescharacteristic
152C4×(C2×D47)⋊C4C2211yescharacteristic
153C4×(C2×D47)⋊C4C2211yescharacteristic
154C4×(C2×D47)⋊C4C2211yescharacteristic
155C4×(C2×D47)⋊C4C2211yescharacteristic
156C4×C22⋊Dic47C2211yescharacteristic
157#15688970C2211yescharacteristic
158#15688970C2211yescharacteristic
159#15688970C2211yescharacteristic
160#15688970C2211yescharacteristic
161#15688970C2211yescharacteristic
162#15688970C2211yescharacteristic
163#15688970C2211yescharacteristic
164#15688970C2211yescharacteristic
165#15688970C2211yescharacteristic
166#15688968C2211yescharacteristic
167#15688968C2211yescharacteristic
168#95×D47C2211yescharacteristic
169#95×D47C2211yescharacteristic
170C42×Dic47C2211yescharacteristic
171C42×Dic47C2211yescharacteristic
172C42×Dic47C2211yescharacteristic
173C2×#123×C47C2211yescharacteristic
174C47×#390C2211yescharacteristic
175C47×#388C2211yescharacteristic
176C47×#388C2211yescharacteristic
177C47×#388C2211yescharacteristic
178C47×#388C2211yescharacteristic
179C47×#387C2211yescharacteristic
180C47×#387C2211yescharacteristic
181C47×#386C2211yescharacteristic
182C4×C4⋊C4×C47C2211yescharacteristic
183C4×C4⋊C4×C47C2211yescharacteristic
184C4×C22⋊C4×C47C2211yescharacteristic
185C4×C22⋊C4×C47C2211yescharacteristic
186C4×C22⋊C4×C47C2211yescharacteristic
187C4×C22⋊C4×C47C2211yescharacteristic
188C22×D188C2311yescharacteristic
189C22×C22⋊D47C2311yescharacteristic
190C22×C22⋊D47C2311yescharacteristic
191C22×C22⋊D47C2311yescharacteristic
192C22×C22⋊D47C2311yescharacteristic
193C23×Dic47C2311yescharacteristic
194C23×Dic47C2311yescharacteristic
195C23×Dic47C2311yescharacteristic
196C23×Dic47C2311yescharacteristic
197C22×C4×D47C2311yescharacteristic
198C22×C4×D47C2311yescharacteristic
199C22×C4×D47C2311yescharacteristic
200C22×C4×D47C2311yescharacteristic
201C22×C4×D47C2311yescharacteristic
202C22×C4×D47C2311yescharacteristic
203C22×C4×D47C2311yescharacteristic
204C22×C4×D47C2311yescharacteristic
205C22×C4×D47C2311yescharacteristic
206C22×C4×D47C2311yescharacteristic
207#13094019C2×C418yescomplemented
208#13094017C2×C418yescomplemented
209#13094014C2×C418yescomplemented
210#13094006C2×C418yescomplemented
211#13093997C2×C418yescomplemented
212#13093997C2×C418yescomplemented
213#13093996C2×C418yescomplemented
214#13093995C2×C418yescomplemented
215C4×D188—24no—
216D4×Dic47—42no—
217#13093986—24no—
218#13093986C2×C418yescomplemented
219C4×C22⋊D47—24no—
220C4×C22⋊D47C2×C418yescomplemented
221C4×C22⋊D47C2×C418yescomplemented
222(C22⋊D47)⋊C4—24no—
223(C22⋊D47)⋊C4—24no—
224(C22⋊D47)⋊C4—24no—
225(C22⋊D47)⋊C4—24no—
226(C22⋊D47)⋊C4—24no—
227(C22⋊D47)⋊C4—42no—
228(C22⋊D47)⋊C4C2×C418yescomplemented
229#13093980—24no—
230#13093980C2×C418yescomplemented
231C2×C4⋊Dic47C2311yescharacteristic
232C2×C4⋊Dic47C2311yescharacteristic
233C2×C4⋊Dic47C2311yescharacteristic
234C2×C4⋊Dic47C2311yescharacteristic
235C2×C4⋊Dic47C2311yescharacteristic
236C2×Dic47⋊C4C2311yescharacteristic
237C2×Dic47⋊C4C2311yescharacteristic
238C2×Dic47⋊C4C2311yescharacteristic
239C2×Dic47⋊C4C2311yescharacteristic
240C2×Dic47⋊C4C2311yescharacteristic
241C2×Dic47⋊C4C2311yescharacteristic
242C2×Dic47⋊C4C2311yescharacteristic
243C2×Dic47⋊C4C2311yescharacteristic
244C2×Dic47⋊C4C2311yescharacteristic
245C2×Dic47⋊C4C2311yescharacteristic
246C2×Dic47⋊C4C2311yescharacteristic
247C2×Dic47⋊C4C2311yescharacteristic
248C2×Dic47⋊C4C2311yescharacteristic
249C2×Dic47⋊C4C2311yescharacteristic
250C2×Dic47⋊C4C2311yescharacteristic
251C2×Dic47⋊C4C2311yescharacteristic
252C4⋊C4×D47—24no—
253C4⋊C4×D47C2×C418yescomplemented
254C2×C22⋊Dic47C2311yescharacteristic
255C2×C22⋊Dic47C2311yescharacteristic
256C2×C22⋊Dic47C2311yescharacteristic
257C2×C22⋊Dic47C2311yescharacteristic
258C2×C22⋊Dic47C2311yescharacteristic
259C2×C22⋊Dic47C2311yescharacteristic
260C2×C22⋊Dic47C2311yescharacteristic
261C2×C22⋊Dic47C2311yescharacteristic
262C2×(C2×D47)⋊C4C2311yescharacteristic
263C2×(C2×D47)⋊C4C2311yescharacteristic
264C2×(C2×D47)⋊C4C2311yescharacteristic
265C2×(C2×D47)⋊C4C2311yescharacteristic
266C2×(C2×D47)⋊C4C2311yescharacteristic
267C2×(C2×D47)⋊C4C2311yescharacteristic
268C2×(C2×D47)⋊C4C2311yescharacteristic
269C2×(C2×D47)⋊C4C2311yescharacteristic
270C2×(C2×D47)⋊C4C2311yescharacteristic
271C2×(C2×D47)⋊C4C2311yescharacteristic
272C2×(C2×D47)⋊C4C2311yescharacteristic
273C2×(C2×D47)⋊C4C2311yescharacteristic
274C2×(C2×D47)⋊C4C2311yescharacteristic
275C2×(C2×D47)⋊C4C2311yescharacteristic
276C2×C4×Dic47—24no—
277C2×C4×Dic47—42no—
278C2×C4×Dic47C2311yescharacteristic
279C2×C4×Dic47C2311yescharacteristic
280C2×C4×Dic47C2311yescharacteristic
281C2×C4×Dic47C2311yescharacteristic
282C2×C4×Dic47C2311yescharacteristic
283C2×C4×Dic47C2311yescharacteristic
284C2×C4×Dic47C2311yescharacteristic
285C2×C4×Dic47C2311yescharacteristic
286C2×C4×Dic47C2311yescharacteristic
287C2×C4×Dic47C2311yescharacteristic
288C2×C4×Dic47C2311yescharacteristic
289C2×C4×Dic47C2311yescharacteristic
290C2×C4×Dic47C2311yescharacteristic
291C2×C4×Dic47C2311yescharacteristic
292C2×C4×Dic47C2311yescharacteristic
293C2×C4×Dic47C2311yescharacteristic
294C2×C4×Dic47C2311yescharacteristic
295C2×C4×Dic47C2311yescharacteristic
296C2×C4×Dic47C2311yescharacteristic
297C2×C4×Dic47C2311yescharacteristic
298C2×C4×Dic47C2311yescharacteristic
299C2×C4×Dic47C2311yescharacteristic
300C2×C4×Dic47C2311yescharacteristic
301C2×C4×Dic47C2311yescharacteristic
302C2×C4×Dic47C2311yescharacteristic
303C2×C4×Dic47C2311yescharacteristic
304C2×C4×Dic47C2311yescharacteristic
305C2×C4×Dic47C2311yescharacteristic
306C42×D47—24no—
307C42×D47—42no—
308C42×D47—42no—
309C42×D47—42no—
310C47⋊#95C2311yescharacteristic
311C47⋊#95C2311yescharacteristic
312C47⋊#95C2311yescharacteristic
313C47⋊#95C2311yescharacteristic
314C47⋊#95C2311yescharacteristic
315C47⋊#95C2311yescharacteristic
316C47⋊#95C2311yescharacteristic
317C47⋊#95C2311yescharacteristic
318C47⋊#95C2311yescharacteristic
319C47⋊#95C2311yescharacteristic
320C47⋊#95C2311yescharacteristic
321C47⋊#95C2311yescharacteristic
322C47⋊#95C2311yescharacteristic
323C47⋊#95C2311yescharacteristic
324C47⋊#95C2311yescharacteristic
325C47⋊#95C2311yescharacteristic
326C47⋊#95C2311yescharacteristic
327C47⋊#95C2311yescharacteristic
328C47⋊#95C2311yescharacteristic
329C47⋊#95C2311yescharacteristic
330C47⋊#95C2311yescharacteristic
331C47⋊#95C2311yescharacteristic
332C47⋊#95C2311yescharacteristic
333C47⋊#95C2311yescharacteristic
334C47⋊#95C2311yescharacteristic
335C47⋊#95C2311yescharacteristic
336C47⋊#95C2311yescharacteristic
337C47⋊#95C2311yescharacteristic
338C47⋊#95C2311yescharacteristic
339C47⋊#95C2311yescharacteristic
340C22×D4×C47C2311yescharacteristic
341C23×C4×C47C2311yescharacteristic
342C23×C4×C47C2311yescharacteristic
343#123×C47C2×C418yescomplemented
344C2×C4⋊C4×C47C2311yescharacteristic
345C2×C4⋊C4×C47C2311yescharacteristic
346C2×C4⋊C4×C47C2311yescharacteristic
347C2×C4⋊C4×C47C2311yescharacteristic
348C2×C4⋊C4×C47C2311yescharacteristic
349C2×C22⋊C4×C47C2311yescharacteristic
350C2×C22⋊C4×C47C2311yescharacteristic
351C2×C22⋊C4×C47C2311yescharacteristic
352C2×C22⋊C4×C47C2311yescharacteristic
353C2×C22⋊C4×C47C2311yescharacteristic
354C2×C22⋊C4×C47C2311yescharacteristic
355C2×C22⋊C4×C47C2311yescharacteristic
356C2×C22⋊C4×C47C2311yescharacteristic
357C2×C22⋊C4×C47C2311yescharacteristic
358C2×C22⋊C4×C47C2311yescharacteristic
359C2×C42×C47C2311yescharacteristic
360C2×C42×C47C2311yescharacteristic
361C2×C42×C47C2311yescharacteristic
362C2×C42×C47C2311yescharacteristic
363C2×C42×C47C2311yescharacteristic
364C2×C42×C47C2311yescharacteristic
365C2×C42×C47C2311yescharacteristic
366#95×C47C2311yescharacteristic
367#95×C47C2311yescharacteristic
368#95×C47C2311yescharacteristic
369#95×C47C2311yescharacteristic
370#95×C47C2311yescharacteristic
371#95×C47C2311yescharacteristic
372#95×C47C2311yescharacteristic
373#95×C47C2311yescharacteristic
374#95×C47C2311yescharacteristic
375#95×C47C2311yescharacteristic
376C24×C47C2411yescharacteristic
377C24×C47C2411yescharacteristic
378C23×D47C2411yescharacteristic
379C23×D47C2411yescharacteristic
380C2×D4×C47—41no—
381C2×D4×C47—41no—
382C2×D4×C47C22×C414yes—
383C22×C4×C47—22no—
384C22×C4×C47—22no—
385C22×C4×C47—41no—
386C22×C4×C47—41no—
387C22×C4×C47—41no—
388C22×C4×C47C22×C414yes—
389C22×C4×C47C2411yescharacteristic
390C22×C4×C47C2411yescharacteristic
391C22×C4×C47C2411yescharacteristic
392C22×C4×C47C2411yescharacteristic
393C22×C4×C47C2411yescharacteristic
394C22×C4×C47C2411yescharacteristic
395C22×C4×C47C2411yescharacteristic
396C22×C4×C47C2411yescharacteristic
397C22×C4×C47C2411yescharacteristic
398C22×C4×C47C2411yescharacteristic
399C22×C4×C47C2411yescharacteristic
400C22×C4×C47C2411yescharacteristic
401C22×C4×C47C2411yescharacteristic
402C2×C22⋊D47—22no—
403C2×C22⋊D47—22no—
404C2×C22⋊D47—22no—
405C2×C22⋊D47—22no—
406C2×C22⋊D47—22no—
407C2×C22⋊D47—22no—
408C2×C22⋊D47—41no—
409C2×C22⋊D47—41no—
410C2×C22⋊D47C22×C414yes—
411C2×C22⋊D47C22×C414yes—
412C2×C22⋊D47C22×C414yes—
413C2×C22⋊D47C22×C414yes—
414C22×Dic47—22no—
415C22×Dic47—22no—
416C22×Dic47—22no—
417C22×Dic47—22no—
418C22×Dic47—22no—
419C22×Dic47—22no—
420C22×Dic47—22no—
421C22×Dic47—22no—
422C22×Dic47—22no—
423C22×Dic47—22no—
424C22×Dic47—41no—
425C22×Dic47C22×C414yes—
426C22×Dic47C2411yescharacteristic
427C22×Dic47C2411yescharacteristic
428C22×Dic47C2411yescharacteristic
429C22×Dic47C2411yescharacteristic
430C22×Dic47C2411yescharacteristic
431C22×Dic47C2411yescharacteristic
432C22×Dic47C2411yescharacteristic
433C22×Dic47C2411yescharacteristic
434C22×Dic47C2411yescharacteristic
435C22×Dic47C2411yescharacteristic
436C22×Dic47C2411yescharacteristic
437C22×Dic47C2411yescharacteristic
438C22×Dic47C2411yescharacteristic
439C22×Dic47C2411yescharacteristic
440C2×D188—22no—
441C2×D188—22no—
442C2×D188C22×C414yes—
443C2×C4×D47—22no—
444C2×C4×D47—22no—
445C2×C4×D47—22no—
446C2×C4×D47—22no—
447C2×C4×D47—22no—
448C2×C4×D47—22no—
449C2×C4×D47—22no—
450C2×C4×D47—22no—
451C2×C4×D47—22no—
452C2×C4×D47—22no—
453C2×C4×D47—22no—
454C2×C4×D47—22no—
455C2×C4×D47—22no—
456C2×C4×D47—22no—
457C2×C4×D47—22no—
458C2×C4×D47—41no—
459C2×C4×D47—41no—
460C2×C4×D47—41no—
461C2×C4×D47—41no—
462C2×C4×D47—41no—
463C2×C4×D47—41no—
464C2×C4×D47—41no—
465C2×C4×D47—41no—
466C2×C4×D47—41no—
467C2×C4×D47—41no—
468C2×C4×D47C22×C414yes—
469C2×C4×D47C22×C414yes—
470C2×C4×D47C22×C414yes—
471C2×C4×D47C22×C414yes—
472C2×C4×D47#4114yes—
473C4⋊C4×C47—22no—
474C4⋊C4×C47—22no—
475C4⋊C4×C47—41no—
476C4⋊C4×C47C22×C414yes—
477C4⋊C4×C47C22×C414yes—
478C22⋊C4×C47—22no—
479C22⋊C4×C47—22no—
480C22⋊C4×C47—22no—
481C22⋊C4×C47—22no—
482C22⋊C4×C47—22no—
483C22⋊C4×C47—22no—
484C22⋊C4×C47—41no—
485C22⋊C4×C47C22×C414yes—
486C22⋊C4×C47C22×C414yes—
487C22⋊C4×C47C22×C414yes—
488C42×C47—22no—
489C42×C47—22no—
490C42×C47—41no—
491C42×C47—41no—
492C42×C47—41no—
493C42×C47—41no—
494C42×C47—41no—
495C22⋊Dic47—22no—
496C22⋊Dic47—22no—
497C22⋊Dic47—41no—
498C22⋊Dic47—41no—
499C22⋊Dic47—41no—
500C22⋊Dic47C22×C414yes—
501C22⋊Dic47C22×C414yes—
502C22⋊Dic47C22×C414yes—
503(C2×D47)⋊C4—22no—
504(C2×D47)⋊C4—22no—
505(C2×D47)⋊C4—22no—
506(C2×D47)⋊C4—22no—
507(C2×D47)⋊C4—22no—
508(C2×D47)⋊C4—22no—
509(C2×D47)⋊C4—22no—
510(C2×D47)⋊C4—41no—
511(C2×D47)⋊C4—41no—
512(C2×D47)⋊C4C22×C414yes—
513(C2×D47)⋊C4C22×C414yes—
514(C2×D47)⋊C4C22×C414yes—
515(C2×D47)⋊C4C22×C414yes—
516(C2×D47)⋊C4#4114yes—
517C4⋊Dic47—22no—
518C4⋊Dic47—22no—
519C4⋊Dic47—41no—
520C4⋊Dic47C22×C414yes—
521C4⋊Dic47C22×C414yes—
522Dic47⋊C4—22no—
523Dic47⋊C4—22no—
524Dic47⋊C4—22no—
525Dic47⋊C4—22no—
526Dic47⋊C4—22no—
527Dic47⋊C4—22no—
528Dic47⋊C4—22no—
529Dic47⋊C4—41no—
530Dic47⋊C4—41no—
531Dic47⋊C4C22×C414yes—
532Dic47⋊C4C22×C414yes—
533Dic47⋊C4C22×C414yes—
534Dic47⋊C4C22×C414yes—
535Dic47⋊C4C22×C414yes—
536Dic47⋊C4C22×C414yes—
537Dic47⋊C4#4114yes—
538C4×Dic47—22no—
539C4×Dic47—22no—
540C4×Dic47—22no—
541C4×Dic47—22no—
542C4×Dic47—22no—
543C4×Dic47—22no—
544C4×Dic47—22no—
545C4×Dic47—22no—
546C4×Dic47—22no—
547C4×Dic47—22no—
548C4×Dic47—22no—
549C4×Dic47—22no—
550C4×Dic47—22no—
551C4×Dic47—22no—
552C4×Dic47—22no—
553C4×Dic47—22no—
554C4×Dic47—22no—
555C4×Dic47—22no—
556C4×Dic47—41no—
557C4×Dic47—41no—
558C4×Dic47—41no—
559C4×Dic47—41no—
560C4×Dic47—41no—
561C4×Dic47—41no—
562C4×Dic47C22×C414yes—
563C4×Dic47C22×C414yes—
564C4×Dic47C22×C414yes—
565C4×Dic47#4114yes—
566C23×C47—21no—
567C23×C47—21no—
568C23×C47—21no—
569C23×C47—21no—
570C23×C47—21no—
571C23×C47—21no—
572C23×C47—21no—
573C23×C47—21no—
574C23×C47—21no—
575C23×C47—21no—
576C23×C47—21no—
577C23×C47—21no—
578C23×C47C23×C412yes—
579C23×C47C23×C412yes—
580C23×C47C2511yescharacteristic
581C22×D47—21no—
582C22×D47—21no—
583C22×D47—21no—
584C22×D47—21no—
585C22×D47—21no—
586C22×D47—21no—
587C22×D47—21no—
588C22×D47—21no—
589C22×D47—21no—
590C22×D47—21no—
591C22×D47C23×C412yes—
592C22×D47C23×C412yes—
593C22×D47C2×#4112yes—
594C22×D47C2×#4112yes—
595D4×C47—44no—
596C2×C4×C47—21no—
597C2×C4×C47—21no—
598C2×C4×C47—21no—
599C2×C4×C47—21no—
600C2×C4×C47—21no—
601C2×C4×C47—21no—
602C2×C4×C47—21no—
603C2×C4×C47—21no—
604C2×C4×C47—21no—
605C2×C4×C47—21no—
606C2×C4×C47—21no—
607C2×C4×C47—21no—
608C2×C4×C47—21no—
609C2×C4×C47—21no—
610C2×C4×C47—21no—
611C2×C4×C47—21no—
612C2×C4×C47—21no—
613C2×C4×C47—21no—
614C2×C4×C47—21no—
615C2×C4×C47—21no—
616C2×C4×C47—21no—
617C2×C4×C47—21no—
618C2×C4×C47—21no—
619C2×C4×C47—21no—
620C2×C4×C47—21no—
621C2×C4×C47—21no—
622C2×C4×C47—21no—
623C2×C4×C47—21no—
624C2×C4×C47—21no—
625C2×C4×C47—21no—
626C2×C4×C47—44no—
627C2×C4×C47—44no—
628C2×C4×C47C23×C412yes—
629C2×C4×C47C23×C412yes—
630C2×C4×C47C23×C412yes—
631C2×C4×C47C23×C412yes—
632C2×C4×C47C23×C412yes—
633C2×C4×C47C2×#4112yes—
634C2×C4×C47C2×#4112yes—
635C2×C4×C47C2×#4112yes—
636C2×C4×C47C2×#4112yes—
637C22⋊D47—28no—
638C22⋊D47—28no—
639C22⋊D47—28no—
640C22⋊D47—44no—
641C2×Dic47—21no—
642C2×Dic47—21no—
643C2×Dic47—21no—
644C2×Dic47—21no—
645C2×Dic47—21no—
646C2×Dic47—21no—
647C2×Dic47—21no—
648C2×Dic47—21no—
649C2×Dic47—21no—
650C2×Dic47—21no—
651C2×Dic47—21no—
652C2×Dic47—21no—
653C2×Dic47—21no—
654C2×Dic47—21no—
655C2×Dic47—28no—
656C2×Dic47—21no—
657C2×Dic47—21no—
658C2×Dic47—21no—
659C2×Dic47—21no—
660C2×Dic47—21no—
661C2×Dic47—21no—
662C2×Dic47—21no—
663C2×Dic47—21no—
664C2×Dic47—21no—
665C2×Dic47—21no—
666C2×Dic47—21no—
667C2×Dic47—21no—
668C2×Dic47—21no—
669C2×Dic47—21no—
670C2×Dic47—21no—
671C2×Dic47—44no—
672C2×Dic47—44no—
673C2×Dic47—44no—
674C2×Dic47C23×C412yes—
675C2×Dic47C23×C412yes—
676C2×Dic47C23×C412yes—
677C2×Dic47C23×C412yes—
678C2×Dic47C23×C412yes—
679C2×Dic47C23×C412yes—
680C2×Dic47C2×#4112yes—
681C2×Dic47C2×#4112yes—
682C2×Dic47C2×#4112yes—
683C2×Dic47C2×#4112yes—
684C2×Dic47C2×#4112yes—
685C2×Dic47C2×#4112yes—
686C2×Dic47H(5,𝔽2)12yes—
687D188—28no—
688C4×D47—28no—
689C4×D47—28no—
690C4×D47—44no—
691C4×D47—44no—
692C4×D47—44no—
693C4×D47—44no—
694C4×D47—44no—
695C4×D47—44no—
696C4×D47—44no—
697C4×D47—44no—
698C4×#553—471nomaximal, Sylow
699C22×C47—22no—
700C22×C47—22no—
701C22×C47—22no—
702C22×C47—22no—
703C22×C47—22no—
704C22×C47—22no—
705C22×C47—41no—
706C22×C47—41no—
707C22×C47—41no—
708C22×C47—41no—
709C22×C47—41no—
710C22×C47—41no—
711C22×C47—41no—
712C22×C47—41no—
713C22×C47C24×C411yescharacteristic
714C22×C47C22×#4111yescharacteristic
715C22×C47C22×#4111yescharacteristic
716C22×C47C22×#4111yescharacteristic
717C22×C47C22×#4111yescharacteristic
718C22×C47C2×H(5,𝔽2)11yescharacteristic
719C22×C47#58511yescharacteristic
720C2×D47—22no—
721C2×D47—22no—
722C2×D47—22no—
723C2×D47—22no—
724C2×D47—22no—
725C2×D47—22no—
726C2×D47—22no—
727C2×D47—22no—
728C2×D47—22no—
729C2×D47—41no—
730C2×D47—41no—
731C2×D47—41no—
732C2×D47—41no—
733C2×D47C4×#4114yes—
734C4×C47—22no—
735C4×C47—22no—
736C4×C47—22no—
737C4×C47—22no—
738C4×C47—22no—
739C4×C47—22no—
740C4×C47—22no—
741C4×C47—22no—
742C4×C47—22no—
743C4×C47—41no—
744C4×C47—41no—
745C4×C47—41no—
746C4×C47—41no—
747Dic47—22no—
748Dic47—22no—
749Dic47—22no—
750Dic47—22no—
751Dic47—22no—
752Dic47—22no—
753Dic47—22no—
754Dic47—41no—
755Dic47—41no—
756Dic47—41no—
757Dic47—41no—
758Dic47—41no—
759Dic47C4×#4114yes—
760Dic47#55314yescomplemented
761C2×#553—471no—
762#2374—471no—
763#2374D4711yescharacteristic, complemented
764#2373—471no—
765#2373—471no—
766#2370—471no—
767#2364—471no—
768#2364—471no—
769#2363—471no—
770#2361—471no—
771#2357—471no—
772#2353—471no—
773#2353—471no—
774#2352—471no—
775#2347—471no—
776#2345—471no—
777C4×#125—471no—
778C4×#126—471no—
779C4×#126—471no—
780C4×#123—471no—
781C4×#123—471no—
782C4×#121—471no—
783C4×#121—471no—
784C4×#121—471no—
785C4×#121—471no—
786C42×D4—471no—
787C42×D4—471no—
788C42×D4—471no—
789C42×D4—471no—
790C4×#117—471no—
791C2×C4×C4⋊C4—471no—
792C2×C47—42no—
793C2×C47—42no—
794C2×C47C2×C4×#4111yescharacteristic
795C2×C47C2×C4×#4111yescharacteristic
796C2×C47C4×H(5,𝔽2)11yescharacteristic
797C2×C47C2×#55311yescharacteristic
798C2×C47#347511yescharacteristic
799C2×C47#348011yescharacteristic
800C2×C47#348111yescharacteristic
801D47—24no—
802D47—42no—
803#553—4716no—
804C2×#126—471no—
805C2×#126—471no—
806C2×#125—471no—
807C2×#123—471no—
808C2×#123C2×D4711yescharacteristic
809C2×#121—471no—
810C2×#121—471no—
811C2×#121—471no—
812C2×#121—471no—
813C2×C4×D4—471no—
814C2×C4×D4—471no—
815C2×C4×D4—471no—
816C2×C4×D4—471no—
817C2×C4×D4—471no—
818C2×C4×D4—471no—
819C2×C4×D4—471no—
820C2×C4×D4—471no—
821C2×C4×D4—471no—
822C2×C4×D4—471no—
823C2×C4×D4—471no—
824C2×C4×D4—471no—
825C2×C4×D4—471no—
826C2×C4×D4—471no—
827C2×#117—471no—
828C2×#117—471no—
829C22×C4⋊C4—471no—
830C22×C4⋊C4—471no—
831C22×C42—471no—
832C22×C42—471no—
833C22×C42—471no—
834C22×C42—471no—
835C22×C42—471no—
836C22×C42—471no—
837#390—471no—
838#390—471no—
839#390—471no—
840#390C2×D4711yescharacteristic
841#389—471no—
842#389—471no—
843#389—471no—
844#389—471no—
845#389—471no—
846#389—471no—
847#388—471no—
848#388—471no—
849#388—471no—
850#388—471no—
851#388—471no—
852#388—471no—
853#388—471no—
854#388—471no—
855#388—471no—
856#388—471no—
857#388—471no—
858#388—471no—
859#388—471no—
860#388—471no—
861#388C2×D4711yescharacteristic
862#388C2×D4711yescharacteristic
863#388C2×D4711yescharacteristic
864#388C2×D4711yescharacteristic
865#387—471no—
866#387—471no—
867#387—471no—
868#387—471no—
869#387—471no—
870#387—471no—
871#387—471no—
872#387—471no—
873#387—471no—
874#387—471no—
875#387—471no—
876#387—471no—
877#387C2×D4711yescharacteristic
878#387C2×D4711yescharacteristic
879#386—471no—
880#386—471no—
881#386—471no—
882#386—471no—
883#386—471no—
884#386—471no—
885#386—471no—
886#386—471no—
887#386—471no—
888#386C2×D4711yescharacteristic
889#385—471no—
890#385—471no—
891#383—471no—
892#383—471no—
893#382—471no—
894#381—471no—
895#381—471no—
896#380—471no—
897#380—471no—
898#380—471no—
899#380—471no—
900C4×C4⋊C4—471no—
901C4×C4⋊C4—471no—
902C4×C4⋊C4—471no—
903C4×C4⋊C4—471no—
904C4×C4⋊C4—471no—
905C4×C4⋊C4—471no—
906C4×C4⋊C4—471no—
907C4×C4⋊C4—471no—
908C4×C4⋊C4—471no—
909C4×C4⋊C4—471no—
910C4×C4⋊C4—471no—
911C4×C4⋊C4—471no—
912C4×C4⋊C4—471no—
913C4×C4⋊C4—471no—
914C4×C4⋊C4—471no—
915C4×C4⋊C4—471no—
916C4×C4⋊C4—471no—
917C4×C4⋊C4—471no—
918C4×C4⋊C4—471no—
919C4×C4⋊C4—471no—
920C4×C4⋊C4—471no—
921C4×C4⋊C4—471no—
922C4×C4⋊C4C2×D4711yescharacteristic
923C4×C4⋊C4C2×D4711yescharacteristic
924C4×C22⋊C4—471no—
925C4×C22⋊C4—471no—
926C4×C22⋊C4—471no—
927C4×C22⋊C4—471no—
928C4×C22⋊C4—471no—
929C4×C22⋊C4—471no—
930C4×C22⋊C4—471no—
931C4×C22⋊C4—471no—
932C4×C22⋊C4—471no—
933C4×C22⋊C4—471no—
934C4×C22⋊C4—471no—
935C4×C22⋊C4—471no—
936C4×C22⋊C4—471no—
937C4×C22⋊C4—471no—
938C4×C22⋊C4—471no—
939C4×C22⋊C4—471no—
940C4×C22⋊C4—471no—
941C4×C22⋊C4—471no—
942C4×C22⋊C4—471no—
943C4×C22⋊C4—471no—
944C4×C22⋊C4—471no—
945C4×C22⋊C4—471no—
946C4×C22⋊C4—471no—
947C4×C22⋊C4—471no—
948C4×C22⋊C4C2×D4711yescharacteristic
949C4×C22⋊C4C2×D4711yescharacteristic
950C4×C22⋊C4C2×D4711yescharacteristic
951C4×C22⋊C4C2×D4711yescharacteristic
952#376—471no—
953#376—471no—
954C2×#95—471no—
955C2×#95—471no—
956C43—471no—
957C43—471no—
958C43—471no—
959C47C4×#55311yescharacteristic, complemented, Sylow
960C22×D4—471no—
961C22×D4—471no—
962C22×D4—471no—
963C22×D4—471no—
964C22×D4—471no—
965C22×D4C22×D4711yescharacteristic
966C23×C4—471no—
967C23×C4—471no—
968C23×C4—471no—
969C23×C4—471no—
970C23×C4—471no—
971C23×C4—471no—
972C23×C4—471no—
973C23×C4—471no—
974C23×C4—471no—
975C23×C4—471no—
976C23×C4—471no—
977C23×C4—471no—
978C23×C4—471no—
979C23×C4—471no—
980C23×C4C22×D4711yescharacteristic
981C23×C4C22×D4711yescharacteristic
982#126—478no—
983#126—478no—
984#125—478no—
985#123—478no—
986#123C4×D4718yescomplemented
987#121—478no—
988#121—478no—
989#121—478no—
990#121—478no—
991C4×D4—478no—
992C4×D4—478no—
993C4×D4—478no—
994C4×D4—478no—
995C4×D4—944no—
996C4×D4—944no—
997C4×D4—944no—
998C4×D4—944no—
999C4×D4—944no—
1000C4×D4—944no—
1001C4×D4—944no—
1002C4×D4—944no—
1003C4×D4—1882no—
1004C4×D4—1882no—
1005#117—478no—
1006#117—944no—
1007C2×C4⋊C4—471no—
1008C2×C4⋊C4—471no—
1009C2×C4⋊C4—471no—
1010C2×C4⋊C4—471no—
1011C2×C4⋊C4—471no—
1012C2×C4⋊C4—471no—
1013C2×C4⋊C4—471no—
1014C2×C4⋊C4—471no—
1015C2×C4⋊C4—471no—
1016C2×C4⋊C4—478no—
1017C2×C4⋊C4—471no—
1018C2×C4⋊C4—471no—
1019C2×C4⋊C4—471no—
1020C2×C4⋊C4—471no—
1021C2×C4⋊C4—471no—
1022C2×C4⋊C4—471no—
1023C2×C4⋊C4—471no—
1024C2×C4⋊C4—471no—
1025C2×C4⋊C4—471no—
1026C2×C4⋊C4—471no—
1027C2×C4⋊C4—471no—
1028C2×C4⋊C4—471no—
1029C2×C4⋊C4—944no—
1030C2×C4⋊C4C22×D4711yescharacteristic
1031C2×C4⋊C4C22×D4711yescharacteristic
1032C2×C4⋊C4C22×D4711yescharacteristic
1033C2×C4⋊C4C22×D4711yescharacteristic
1034C2×C4⋊C4C22×D4711yescharacteristic
1035C2×C22⋊C4—471no—
1036C2×C22⋊C4—471no—
1037C2×C22⋊C4—471no—
1038C2×C22⋊C4—471no—
1039C2×C22⋊C4—471no—
1040C2×C22⋊C4—471no—
1041C2×C22⋊C4—471no—
1042C2×C22⋊C4—471no—
1043C2×C22⋊C4—471no—
1044C2×C22⋊C4—471no—
1045C2×C22⋊C4—471no—
1046C2×C22⋊C4—471no—
1047C2×C22⋊C4—471no—
1048C2×C22⋊C4—471no—
1049C2×C22⋊C4—471no—
1050C2×C22⋊C4—471no—
1051C2×C22⋊C4—471no—
1052C2×C22⋊C4—471no—
1053C2×C22⋊C4—471no—
1054C2×C22⋊C4—471no—
1055C2×C22⋊C4—471no—
1056C2×C22⋊C4—471no—
1057C2×C22⋊C4C22×D4711yescharacteristic
1058C2×C22⋊C4C22×D4711yescharacteristic
1059C2×C22⋊C4C22×D4711yescharacteristic
1060C2×C22⋊C4C22×D4711yescharacteristic
1061C2×C22⋊C4C22×D4711yescharacteristic
1062C2×C22⋊C4C22×D4711yescharacteristic
1063C2×C22⋊C4C22×D4711yescharacteristic
1064C2×C22⋊C4C22×D4711yescharacteristic
1065C2×C22⋊C4C22×D4711yescharacteristic
1066C2×C22⋊C4C22×D4711yescharacteristic
1067C2×C42—471no—
1068C2×C42—471no—
1069C2×C42—471no—
1070C2×C42—471no—
1071C2×C42—471no—
1072C2×C42—471no—
1073C2×C42—471no—
1074C2×C42—471no—
1075C2×C42—471no—
1076C2×C42—471no—
1077C2×C42—471no—
1078C2×C42—471no—
1079C2×C42—471no—
1080C2×C42—471no—
1081C2×C42—471no—
1082C2×C42—471no—
1083C2×C42—471no—
1084C2×C42—471no—
1085C2×C42—471no—
1086C2×C42—471no—
1087C2×C42—471no—
1088C2×C42—471no—
1089C2×C42—471no—
1090C2×C42—471no—
1091C2×C42—471no—
1092C2×C42—471no—
1093C2×C42—471no—
1094C2×C42—471no—
1095C2×C42—944no—
1096C2×C42—944no—
1097C2×C42—1882no—
1098C2×C42—1882no—
1099C2×C42—1882no—
1100C2×C42—1882no—
1101C2×C42C22×D4711yescharacteristic
1102C2×C42C22×D4711yescharacteristic
1103C2×C42C22×D4711yescharacteristic
1104C2×C42C22×D4711yescharacteristic
1105C2×C42C22×D4711yescharacteristic
1106C2×C42C22×D4711yescharacteristic
1107C2×C42C22×D4711yescharacteristic
1108#95—471no—
1109#95—471no—
1110#95—471no—
1111#95—471no—
1112#95—471no—
1113#95—471no—
1114#95—471no—
1115#95—471no—
1116#95—471no—
1117#95—471no—
1118#95—471no—
1119#95—471no—
1120#95—471no—
1121#95—471no—
1122#95—471no—
1123#95—471no—
1124#95—471no—
1125#95—471no—
1126#95—471no—
1127#95—471no—
1128#95—471no—
1129#95—471no—
1130#95—471no—
1131#95—471no—
1132#95—471no—
1133#95—471no—
1134#95—471no—
1135#95—471no—
1136#95—471no—
1137#95—471no—
1138#95C22×D4711yescharacteristic
1139#95C22×D4711yescharacteristic
1140#95C22×D4711yescharacteristic
1141#95C22×D4711yescharacteristic
1142#95C22×D4711yescharacteristic
1143#95C22×D4711yescharacteristic
1144#95C22×D4711yescharacteristic
1145#95C22×D4711yescharacteristic
1146#95C22×D4711yescharacteristic
1147#95C22×D4711yescharacteristic
1148C24—471no—
1149C24—471no—
1150C24C23×D4711yescharacteristic
1151C24C23×D4711yescharacteristic
1152C2×D4—41no—
1153C2×D4—41no—
1154C2×D4—474no—
1155C2×D4—474no—
1156C2×D4—474no—
1157C2×D4—474no—
1158C2×D4—474no—
1159C2×D4—942no—
1160C2×D4—942no—
1161C2×D4—942no—
1162C2×D4—942no—
1163C2×D4—942no—
1164C2×D4—942no—
1165C2×D4—942no—
1166C2×D4—942no—
1167C2×D4—1881no—
1168C2×D4—1881no—
1169C2×D4C2×C4×D4714yes—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—41no—
1173C22×C4—41no—
1174C22×C4—41no—
1175C22×C4—471no—
1176C22×C4—471no—
1177C22×C4—474no—
1178C22×C4—471no—
1179C22×C4—471no—
1180C22×C4—471no—
1181C22×C4—471no—
1182C22×C4—471no—
1183C22×C4—471no—
1184C22×C4—471no—
1185C22×C4—474no—
1186C22×C4—474no—
1187C22×C4—474no—
1188C22×C4—474no—
1189C22×C4—474no—
1190C22×C4—471no—
1191C22×C4—471no—
1192C22×C4—471no—
1193C22×C4—471no—
1194C22×C4—471no—
1195C22×C4—942no—
1196C22×C4—942no—
1197C22×C4—942no—
1198C22×C4—942no—
1199C22×C4—942no—
1200C22×C4—942no—
1201C22×C4—942no—
1202C22×C4—942no—
1203C22×C4—942no—
1204C22×C4—942no—
1205C22×C4—942no—
1206C22×C4—942no—
1207C22×C4—942no—
1208C22×C4—942no—
1209C22×C4—942no—
1210C22×C4—942no—
1211C22×C4—942no—
1212C22×C4—942no—
1213C22×C4—942no—
1214C22×C4—942no—
1215C22×C4—942no—
1216C22×C4—942no—
1217C22×C4—942no—
1218C22×C4—942no—
1219C22×C4—942no—
1220C22×C4—1881no—
1221C22×C4—1881no—
1222C22×C4—1881no—
1223C22×C4—1881no—
1224C22×C4—1881no—
1225C22×C4—1881no—
1226C22×C4—1881no—
1227C22×C4—1881no—
1228C22×C4—1881no—
1229C22×C4—1881no—
1230C22×C4—1881no—
1231C22×C4C2×C4×D4714yes—
1232C22×C4C23×D4711yescharacteristic
1233C22×C4C23×D4711yescharacteristic
1234C22×C4C23×D4711yescharacteristic
1235C22×C4C23×D4711yescharacteristic
1236C22×C4C23×D4711yescharacteristic
1237C22×C4C23×D4711yescharacteristic
1238C22×C4C23×D4711yescharacteristic
1239C22×C4C23×D4711yescharacteristic
1240C22×C4C23×D4711yescharacteristic
1241C22×C4C23×D4711yescharacteristic
1242C22×C4C23×D4711yescharacteristic
1243C22×C4C23×D4711yescharacteristic
1244C22×C4C23×D4711yescharacteristic
1245C4⋊C4—22no—
1246C4⋊C4—22no—
1247C4⋊C4—41no—
1248C4⋊C4—474no—
1249C4⋊C4—474no—
1250C4⋊C4—474no—
1251C4⋊C4—474no—
1252C4⋊C4—474no—
1253C4⋊C4—474no—
1254C4⋊C4—474no—
1255C4⋊C4—474no—
1256C4⋊C4—474no—
1257C4⋊C4—942no—
1258C4⋊C4—942no—
1259C4⋊C4—942no—
1260C4⋊C4—942no—
1261C4⋊C4—942no—
1262C4⋊C4—942no—
1263C4⋊C4—942no—
1264C4⋊C4—942no—
1265C4⋊C4—942no—
1266C4⋊C4—1881no—
1267C4⋊C4—1881no—
1268C4⋊C4—1881no—
1269C4⋊C4C2×C4×D4714yes—
1270C4⋊C4C2×C4×D4714yes—
1271C22⋊C4—22no—
1272C22⋊C4—22no—
1273C22⋊C4—22no—
1274C22⋊C4—22no—
1275C22⋊C4—22no—
1276C22⋊C4—22no—
1277C22⋊C4—41no—
1278C22⋊C4—474no—
1279C22⋊C4—474no—
1280C22⋊C4—474no—
1281C22⋊C4—474no—
1282C22⋊C4—474no—
1283C22⋊C4—474no—
1284C22⋊C4—474no—
1285C22⋊C4—474no—
1286C22⋊C4—942no—
1287C22⋊C4—942no—
1288C22⋊C4—942no—
1289C22⋊C4—942no—
1290C22⋊C4—942no—
1291C22⋊C4—942no—
1292C22⋊C4—942no—
1293C22⋊C4—942no—
1294C22⋊C4—942no—
1295C22⋊C4—1881no—
1296C22⋊C4—1881no—
1297C22⋊C4—1881no—
1298C22⋊C4—1881no—
1299C22⋊C4—1881no—
1300C22⋊C4C2×C4×D4714yes—
1301C22⋊C4C2×C4×D4714yes—
1302C22⋊C4C2×C4×D4714yes—
1303C42—22no—
1304C42—22no—
1305C42—41no—
1306C42—41no—
1307C42—41no—
1308C42—41no—
1309C42—41no—
1310C42—474no—
1311C42—474no—
1312C42—474no—
1313C42—474no—
1314C42—942no—
1315C42—942no—
1316C42—942no—
1317C42—942no—
1318C42—942no—
1319C42—942no—
1320C42—942no—
1321C42—942no—
1322C42—942no—
1323C42—942no—
1324C42—942no—
1325C42—942no—
1326C42—942no—
1327C42—942no—
1328C42—942no—
1329C42—942no—
1330C42—942no—
1331C42—942no—
1332C42—1881no—
1333C42—1881no—
1334C42—1881no—
1335C42—1881no—
1336C42—1881no—
1337C42—1881no—
1338C23—21no—
1339C23—21no—
1340C23—21no—
1341C23—21no—
1342C23—21no—
1343C23—21no—
1344C23—21no—
1345C23—21no—
1346C23—21no—
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—472no—
1351C23—472no—
1352C23—472no—
1353C23—472no—
1354C23—941no—
1355C23—941no—
1356C23—941no—
1357C23—941no—
1358C23—941no—
1359C23—941no—
1360C23—941no—
1361C23—941no—
1362C23—941no—
1363C23—941no—
1364C23C22×C4×D4712yes—
1365C23C22×C4×D4712yes—
1366C23C24×D4711yescharacteristic
1367D4—44no—
1368D4—948no—
1369D4—948no—
1370D4—948no—
1371D4—948no—
1372D4—1884no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—44no—
1404C2×C4—44no—
1405C2×C4—472no—
1406C2×C4—472no—
1407C2×C4—472no—
1408C2×C4—472no—
1409C2×C4—472no—
1410C2×C4—472no—
1411C2×C4—472no—
1412C2×C4—472no—
1413C2×C4—472no—
1414C2×C4—472no—
1415C2×C4—472no—
1416C2×C4—472no—
1417C2×C4—472no—
1418C2×C4—948no—
1419C2×C4—948no—
1420C2×C4—948no—
1421C2×C4—941no—
1422C2×C4—941no—
1423C2×C4—941no—
1424C2×C4—941no—
1425C2×C4—941no—
1426C2×C4—941no—
1427C2×C4—941no—
1428C2×C4—941no—
1429C2×C4—941no—
1430C2×C4—941no—
1431C2×C4—941no—
1432C2×C4—941no—
1433C2×C4—941no—
1434C2×C4—941no—
1435C2×C4—941no—
1436C2×C4—941no—
1437C2×C4—941no—
1438C2×C4—941no—
1439C2×C4—941no—
1440C2×C4—941no—
1441C2×C4—941no—
1442C2×C4—941no—
1443C2×C4—941no—
1444C2×C4—941no—
1445C2×C4—941no—
1446C2×C4—941no—
1447C2×C4—941no—
1448C2×C4—941no—
1449C2×C4—941no—
1450C2×C4—1884no—
1451C2×C4—1884no—
1452C2×C4—1884no—
1453C2×C4—1884no—
1454C2×C4—1884no—
1455C2×C4—1884no—
1456C2×C4—1884no—
1457C2×C4—1884no—
1458C2×C4—1884no—
1459C2×C4—1884no—
1460C2×C4—1884no—
1461C2×C4C22×C4×D4712yes—
1462C2×C4C22×C4×D4712yes—
1463C2×C4C22×C4×D4712yes—
1464C2×C4C22×C4×D4712yes—
1465C2×C4C22×C4×D4712yes—
1466C2×C4#41×D4712yes—
1467C2×C4#41×D4712yes—
1468C2×C4#41×D4712yes—
1469C2×C4#41×D4712yes—
1470C22—22no—
1471C22—22no—
1472C22—22no—
1473C22—22no—
1474C22—22no—
1475C22—22no—
1476C22—41no—
1477C22—41no—
1478C22—41no—
1479C22—41no—
1480C22—41no—
1481C22—41no—
1482C22—41no—
1483C22—41no—
1484C22—474no—
1485C22—942no—
1486C22—942no—
1487C22—942no—
1488C22—942no—
1489C22—942no—
1490C22—942no—
1491C22—942no—
1492C22—942no—
1493C22—942no—
1494C22—1881no—
1495C22—1881no—
1496C22—1881no—
1497C22—1881no—
1498C22C23×C4×D4711yescharacteristic
1499C22C2×#41×D4711yescharacteristic
1500C22C2×#41×D4711yescharacteristic
1501C22C2×#41×D4711yescharacteristic
1502C22C2×#41×D4711yescharacteristic
1503C22H(5,𝔽2)×D4711yescharacteristic
1504C22#1568995811yescharacteristic
1505C4—22no—
1506C4—22no—
1507C4—22no—
1508C4—22no—
1509C4—22no—
1510C4—22no—
1511C4—22no—
1512C4—22no—
1513C4—22no—
1514C4—41no—
1515C4—41no—
1516C4—41no—
1517C4—41no—
1518C4—474no—
1519C4—474no—
1520C4—942no—
1521C4—942no—
1522C4—942no—
1523C4—942no—
1524C4—942no—
1525C4—942no—
1526C4—942no—
1527C4—1881no—
1528C4—1881no—
1529C4—1881no—
1530C4—1881no—
1531C4—1881no—
1532C2—42no—
1533C2—42no—
1534C2—944no—
1535C2—1882no—
1536C2C4×#41×D4711yescharacteristic
1537C2C4×#41×D4711yescharacteristic
1538C2#2025659211yescharacteristic
1539C2#553×D4711yescharacteristic
1540C2#2025694311yescharacteristic
1541C2#2025698411yescharacteristic
1542C2#2025699511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutatorC22×C47C24×C4
FittingC47×#2374C2
socle, cosocleC23×C47C25
prime radicalC2×#15689818C2
hypercenter#2374D47
hypocenterC47C4×#553
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2374

Complements

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

NH ≅ G/Ntype
2. #20246522C2semidirect
3. #20246515C2semidirect
4. #20246502C2semidirect
5. #20246485C2semidirect
6. #20246439C2semidirect
7. #20246437C2semidirect
8. #20246423C2semidirect
9. #20246401C2semidirect
10. #20246362C2semidirect
11. #20246331C2semidirect
12. #20246327C2semidirect
13. #20246316C2semidirect
14. #20246278C2semidirect
15. #20246262C2semidirect
16. #20245945C2semidirect
17. #20245942C2semidirect
18. #20245938C2semidirect
19. #20245915C2semidirect
20. #123×Dic47C2semidirect
21. #20245904C2semidirect
22. #20245900C2semidirect
23. #20245900C2semidirect
24. #20245898C2semidirect
25. C4×#13093986C2semidirect
26. C4×(C22⋊D47)⋊C4C2semidirect
27. C4×(C22⋊D47)⋊C4C2semidirect
28. C4×(C22⋊D47)⋊C4C2semidirect
29. C4×#13093980C2semidirect
30. C4×C4⋊C4×D47C2semidirect
31. C47×#2374C2semidirect
32. #15689818C4semidirect
207. #13094019C2×C4semidirect
208. #13094017C2×C4semidirect
209. #13094014C2×C4semidirect
210. #13094006C2×C4semidirect
211. #13093997C2×C4semidirect
212. #13093997C2×C4semidirect
213. #13093996C2×C4semidirect
214. #13093995C2×C4semidirect
218. #13093986C2×C4semidirect
220. C4×C22⋊D47C2×C4semidirect
221. C4×C22⋊D47C2×C4semidirect
228. (C22⋊D47)⋊C4C2×C4semidirect
230. #13093980C2×C4semidirect
253. C4⋊C4×D47C2×C4semidirect
343. #123×C47C2×C4semidirect
760. Dic47#553semidirect
763. #2374D47semidirect
959. C47C4×#553semidirect
986. #123C4×D47semidirect

Maximal subgroups

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

subgroupindex
C2×#156898182
#202465222
#202465152
#202465022
#202464852
#202464392
#202464372
#202464232
#202464012
#202463622
#202463312
#202463272
#202463162
#202462782
#202462622
#202459452
#202459422
#202459382
#202459152
#123×Dic472
#202459042
#202459002
#202458982
C4×#130939862
C4×(C22⋊D47)⋊C42
C4×#130939802
C4×C4⋊C4×D472
C47×#23742
C4×#55347