Finite Group Databasebeta

← #26376151

Subgroups — #26376151

Order 12032.

2732 conjugacy classes of subgroups.

The subgroup lattice has 1560 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689802C211yesmaximal, characteristic
2#20246519C211yesmaximal, characteristic, complemented
3#20246514C211yesmaximal, characteristic, complemented
4#20246508C211yesmaximal, characteristic, complemented
5#20246495C211yesmaximal, characteristic, complemented
6#20246468C211yesmaximal, characteristic, complemented
7#20246465C211yesmaximal, characteristic, complemented
8#20246386C211yesmaximal, characteristic, complemented
9#20246377C211yesmaximal, characteristic, complemented
10#20246368C211yesmaximal, characteristic
11#20246325C211yesmaximal, characteristic, complemented
12#20246245C211yesmaximal, characteristic, complemented
13#20246242C211yesmaximal, characteristic, complemented
14#20246234C211yesmaximal, characteristic, complemented
15#20246231C211yesmaximal, characteristic, complemented
16#20245938C211yesmaximal, characteristic, complemented
17#20245936C211yesmaximal, characteristic, complemented
18#20245929C211yesmaximal, characteristic, complemented
19#20245922C211yesmaximal, characteristic, complemented
20#20245916C211yesmaximal, characteristic, complemented
21#20245915C211yesmaximal, characteristic, complemented
22#20245913C211yesmaximal, characteristic, complemented
23#20245905C211yesmaximal, characteristic, complemented
24#20245893C211yesmaximal, characteristic
25C4×D4×Dic47C211yesmaximal, characteristic, complemented
26C4×(C22⋊D47)⋊C4C211yesmaximal, characteristic, complemented
27#20245727C211yesmaximal, characteristic, complemented
28C4×#13093980C211yesmaximal, characteristic, complemented
29C2×#15688970C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D47C211yesmaximal, characteristic, complemented
31C47×#2353C211yesmaximal, characteristic, complemented
32C23×C4×D47C2211yescharacteristic
33#15689802C4116yescomplemented
34C2×#13094019C2211yescharacteristic
35C2×#13094018C2211yescharacteristic
36C2×#13094010C2211yescharacteristic
37C2×#13094007C2211yescharacteristic
38C2×#13094006C2211yescharacteristic
39C2×#13094005C2211yescharacteristic
40C2×#13094003C2211yescharacteristic
41C2×#13094002C2211yescharacteristic
42C2×#13093992C2211yescharacteristic
43C2×#13093989C2211yescharacteristic, complemented
44C2×D4×Dic47C2211yescharacteristic
45C2×D4×Dic47C2211yescharacteristic
46C2×C4×C22⋊D47C2211yescharacteristic
47C2×(C22⋊D47)⋊C4C2211yescharacteristic
48C2×(C22⋊D47)⋊C4C2211yescharacteristic
49C2×(C22⋊D47)⋊C4C2211yescharacteristic
50C2×#13093981C2211yescharacteristic
51C2×#13093981C2211yescharacteristic
52C2×#13093980C2211yescharacteristic
53C2×#13093980C2211yescharacteristic
54C22×(C2×D47)⋊C4C2211yescharacteristic
55C22×(C2×D47)⋊C4C2211yescharacteristic
56C2×C22⋊C4×D47C2211yescharacteristic
57C2×C22⋊C4×D47C2211yescharacteristic
58C22×C4×Dic47C2211yescharacteristic
59C22×C4×Dic47C2211yescharacteristic
60C22×C4×Dic47C2211yescharacteristic, complemented
61C2×C42×D47C2211yescharacteristic
62C2×C42×D47C2211yescharacteristic
63#15689028C2211yescharacteristic, complemented
64#15689027C2211yescharacteristic, complemented
65#15689027C2211yescharacteristic, complemented
66#15689023C2211yescharacteristic
67#15689020C2211yescharacteristic, complemented
68#15689019C2211yescharacteristic, complemented
69#15689017C2211yescharacteristic, complemented
70#15689017C2211yescharacteristic, complemented
71#15689017C2211yescharacteristic, complemented
72#15689015C2211yescharacteristic
73#15689014C2211yescharacteristic
74#15689014C2211yescharacteristic
75#15689013C2211yescharacteristic
76#15689013C2211yescharacteristic
77#15689012C2211yescharacteristic
78#15689012C2211yescharacteristic
79#15689012C2211yescharacteristic
80#15689012C2211yescharacteristic
81#15689012C2211yescharacteristic
82#15689011C2211yescharacteristic, complemented
83#15689010C2211yescharacteristic, complemented
84#15689010C2211yescharacteristic, complemented
85#15689010C2211yescharacteristic, complemented
86#15689008C2211yescharacteristic, complemented
87#15689008C2211yescharacteristic, complemented
88#15689007C2211yescharacteristic, complemented
89#15689007C2211yescharacteristic, complemented
90#15689005C2211yescharacteristic, complemented
91#15689005C2211yescharacteristic, complemented
92#15689005C2211yescharacteristic, complemented
93#15689005C2211yescharacteristic, complemented
94#15689005C2211yescharacteristic, complemented
95#15689005C2211yescharacteristic, complemented
96#15689005C2211yescharacteristic, complemented
97#15689000C2211yescharacteristic
98#15688999C2211yescharacteristic
99#15688999C2211yescharacteristic
100#15688999C2211yescharacteristic
101#15688997C2211yescharacteristic
102#15688997C2211yescharacteristic
103#15688997C2211yescharacteristic
104#15688996C2211yescharacteristic
105#15688996C2211yescharacteristic
106#15688995C2211yescharacteristic
107#15688995C2211yescharacteristic
108#15688995C2211yescharacteristic, complemented
109#15688994C2211yescharacteristic
110#15688994C2211yescharacteristic
111#15688990C2211yescharacteristic, complemented
112#15688987C2211yescharacteristic, complemented
113#15688985C2211yescharacteristic
114#15688984C2211yescharacteristic
115#15688982C2211yescharacteristic
116#15688978C2211yescharacteristic
117C4⋊C4×Dic47C2211yescharacteristic, complemented
118C4⋊C4×Dic47C2211yescharacteristic, complemented
119C4⋊C4×Dic47C2211yescharacteristic, complemented
120C4×Dic47⋊C4C2211yescharacteristic, complemented
121C4×Dic47⋊C4C2211yescharacteristic, complemented
122C4×Dic47⋊C4C2211yescharacteristic, complemented
123C4×C4⋊Dic47C2211yescharacteristic, complemented
124#15688974C2211yescharacteristic, complemented
125#15688974C2211yescharacteristic, complemented
126#15688974C2211yescharacteristic, complemented
127#15688974C2211yescharacteristic, complemented
128#15688974C2211yescharacteristic, complemented
129#15688974C2211yescharacteristic, complemented
130#15688974C2211yescharacteristic, complemented
131#15688974C2211yescharacteristic, complemented
132#15688974C2211yescharacteristic, complemented
133C22⋊C4×Dic47C2211yescharacteristic
134C22⋊C4×Dic47C2211yescharacteristic
135C22⋊C4×Dic47C2211yescharacteristic
136C22⋊C4×Dic47C2211yescharacteristic
137C22⋊C4×Dic47C2211yescharacteristic, complemented
138C22⋊C4×Dic47C2211yescharacteristic, complemented
139C22⋊C4×Dic47C2211yescharacteristic, complemented
140C22⋊C4×Dic47C2211yescharacteristic, complemented
141C22⋊C4×Dic47C2211yescharacteristic, complemented
142C4×(C2×D47)⋊C4C2211yescharacteristic
143C4×(C2×D47)⋊C4C2211yescharacteristic
144C4×(C2×D47)⋊C4C2211yescharacteristic
145C4×C22⋊Dic47C2211yescharacteristic
146C4×C22⋊Dic47C2211yescharacteristic
147C4×C22⋊Dic47C2211yescharacteristic
148C4×C22⋊Dic47C2211yescharacteristic, complemented
149#15688970C2211yescharacteristic
150#15688970C2211yescharacteristic
151#15688970C2211yescharacteristic
152#15688970C2211yescharacteristic
153#15688970C2211yescharacteristic
154#15688970C2211yescharacteristic
155#15688970C2211yescharacteristic
156#15688970C2211yescharacteristic
157#15688970C2211yescharacteristic
158#15688970C2211yescharacteristic
159#15688970C2211yescharacteristic
160#15688970C2211yescharacteristic
161#15688970C2211yescharacteristic
162#15688970C2211yescharacteristic
163#15688970C2211yescharacteristic
164#15688969C2211yescharacteristic, complemented
165#15688968C2211yescharacteristic, complemented
166#15688968C2211yescharacteristic, complemented
167C2×C47⋊#95C2211yescharacteristic
168#95×D47C2211yescharacteristic
169#95×D47C2211yescharacteristic
170C42×Dic47C2211yescharacteristic, complemented
171C42×Dic47C2211yescharacteristic, complemented
172C42×Dic47C2211yescharacteristic, complemented
173C2×C4×D4×C47C2211yescharacteristic
174C47×#388C2211yescharacteristic, complemented
175C47×#388C2211yescharacteristic, complemented
176C47×#387C2211yescharacteristic, complemented
177C47×#387C2211yescharacteristic, complemented
178C47×#386C2211yescharacteristic
179C47×#386C2211yescharacteristic
180C47×#383C2211yescharacteristic, complemented
181C47×#381C2211yescharacteristic, complemented
182C47×#380C2211yescharacteristic
183C4×C22⋊C4×C47C2211yescharacteristic
184C4×C22⋊C4×C47C2211yescharacteristic
185C4×C22⋊C4×C47C2211yescharacteristic, complemented
186C47×#376C2211yescharacteristic, complemented
187C2×#95×C47C2211yescharacteristic
188C24×D47C2311yescharacteristic
189C22×Dic94C2311yescharacteristic
190C22×C22⋊D47C2311yescharacteristic
191C22×C22⋊D47C2311yescharacteristic
192C23×Dic47C2311yescharacteristic
193C23×Dic47C2311yescharacteristic
194C23×Dic47C2311yescharacteristic
195C23×Dic47C2311yescharacteristic
196C23×Dic47C2311yescharacteristic
197C22×C4×D47—24no—
198C22×C4×D47—24no—
199C22×C4×D47—42no—
200C22×C4×D47C2311yescharacteristic
201C22×C4×D47C2311yescharacteristic
202C22×C4×D47C2311yescharacteristic
203C22×C4×D47C2311yescharacteristic
204C22×C4×D47C2311yescharacteristic
205C22×C4×D47C2311yescharacteristic
206C22×C4×D47C2311yescharacteristic
207C22×C4×D47C2311yescharacteristic
208#13094019C2×C418yescomplemented
209#13094018C2×C418yescomplemented
210#13094010C2×C418yescomplemented
211#13094007C2×C418yescomplemented
212#13094006C2×C418yescomplemented
213#13094005C2×C418yescomplemented
214#13094003C2×C418yescomplemented
215#13094002C2×C418yescomplemented
216#13093992C2×C418yes—
217#13093989—42no—
218D4×Dic47—24no—
219D4×Dic47—24no—
220C4×C22⋊D47C2×C418yescomplemented
221(C22⋊D47)⋊C4—24no—
222(C22⋊D47)⋊C4—24no—
223(C22⋊D47)⋊C4—42no—
224#13093981—24no—
225#13093981C2×C418yescomplemented
226#13093980—24no—
227#13093980C2×C418yescomplemented
228C2×C4⋊Dic47C2311yescharacteristic
229C2×C4⋊Dic47C2311yescharacteristic
230C2×C4⋊Dic47C2311yescharacteristic
231C2×Dic47⋊C4C2311yescharacteristic
232C2×Dic47⋊C4C2311yescharacteristic
233C2×Dic47⋊C4C2311yescharacteristic
234C2×Dic47⋊C4C2311yescharacteristic
235C2×Dic47⋊C4C2311yescharacteristic
236C2×Dic47⋊C4C2311yescharacteristic
237C2×Dic47⋊C4C2311yescharacteristic
238C2×Dic47⋊C4C2311yescharacteristic
239C2×Dic47⋊C4C2311yescharacteristic
240C2×Dic47⋊C4C2311yescharacteristic
241C2×Dic47⋊C4C2311yescharacteristic
242C2×Dic47⋊C4C2311yescharacteristic
243C2×Dic47⋊C4C2311yescharacteristic
244C2×Dic47⋊C4C2311yescharacteristic
245C2×Dic47⋊C4C2311yescharacteristic
246C2×Dic47⋊C4C2311yescharacteristic
247C2×C22⋊Dic47C2311yescharacteristic
248C2×C22⋊Dic47C2311yescharacteristic
249C2×C22⋊Dic47C2311yescharacteristic
250C2×C22⋊Dic47C2311yescharacteristic
251C2×C22⋊Dic47C2311yescharacteristic
252C2×C22⋊Dic47C2311yescharacteristic
253C2×C22⋊Dic47C2311yescharacteristic
254C2×C22⋊Dic47C2311yescharacteristic
255C2×(C2×D47)⋊C4—24no—
256C2×(C2×D47)⋊C4C2×C418yescomplemented
257C2×(C2×D47)⋊C4C2311yescharacteristic
258C2×(C2×D47)⋊C4C2311yescharacteristic
259C2×(C2×D47)⋊C4C2311yescharacteristic
260C2×(C2×D47)⋊C4C2311yescharacteristic
261C2×(C2×D47)⋊C4C2311yescharacteristic
262C2×(C2×D47)⋊C4C2311yescharacteristic
263C2×(C2×D47)⋊C4C2311yescharacteristic
264C2×(C2×D47)⋊C4C2311yescharacteristic
265C2×(C2×D47)⋊C4C2311yescharacteristic
266C2×(C2×D47)⋊C4C2311yescharacteristic
267C2×(C2×D47)⋊C4C2311yescharacteristic
268C2×(C2×D47)⋊C4C2311yescharacteristic
269C2×(C2×D47)⋊C4C2311yescharacteristic
270C2×(C2×D47)⋊C4C2311yescharacteristic
271C2×(C2×D47)⋊C4C2311yescharacteristic
272C2×(C2×D47)⋊C4C2311yescharacteristic
273C2×(C2×D47)⋊C4C2311yescharacteristic
274C2×(C2×D47)⋊C4C2311yescharacteristic
275C22⋊C4×D47—24no—
276C22⋊C4×D47C2×C418yescomplemented
277C2×C4×Dic47—24no—
278C2×C4×Dic47—42no—
279C2×C4×Dic47—42no—
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
306C2×C4×Dic47C2311yescharacteristic
307C2×C4×Dic47C2311yescharacteristic
308C42×D47—24no—
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
343C23×C4×C47C2311yescharacteristic
344C23×C4×C47C2311yescharacteristic
345C4×D4×C47C2×C418yescomplemented
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×C42×C47C2311yescharacteristic
358C2×C42×C47C2311yescharacteristic
359C2×C42×C47C2311yescharacteristic
360C2×C42×C47C2311yescharacteristic
361C2×C42×C47C2311yescharacteristic
362#95×C47C2311yescharacteristic
363#95×C47C2311yescharacteristic
364#95×C47C2311yescharacteristic
365#95×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×D47—22no—
379C23×D47—22no—
380C23×D47—22no—
381C23×D47—22no—
382C23×D47—41no—
383C23×D47—41no—
384C23×D47C22×C414yes—
385C23×D47C2411yescharacteristic
386C23×D47C2411yescharacteristic
387C2×D4×C47—22no—
388C2×D4×C47—22no—
389C2×D4×C47C22×C414yes—
390C22×C4×C47—22no—
391C22×C4×C47—22no—
392C22×C4×C47—22no—
393C22×C4×C47—22no—
394C22×C4×C47—41no—
395C22×C4×C47—41no—
396C22×C4×C47—41no—
397C22×C4×C47—41no—
398C22×C4×C47—41no—
399C22×C4×C47—41no—
400C22×C4×C47C22×C414yes—
401C22×C4×C47C22×C414yescomplemented
402C22×C4×C47C2411yescharacteristic
403C22×C4×C47C2411yescharacteristic
404C22×C4×C47C2411yescharacteristic
405C22×C4×C47C2411yescharacteristic
406C22×C4×C47C2411yescharacteristic
407C22×C4×C47C2411yescharacteristic
408C22×C4×C47C2411yescharacteristic
409C22×C4×C47C2411yescharacteristic
410C22×C4×C47C2411yescharacteristic
411C22×C4×C47C2411yescharacteristic
412C22×C4×C47C2411yescharacteristic
413C22×C4×C47C2411yescharacteristic
414C22×C4×C47C2411yescharacteristic
415C2×C22⋊D47—22no—
416C2×C22⋊D47—22no—
417C2×C22⋊D47—41no—
418C2×C22⋊D47—41no—
419C2×C22⋊D47C22×C414yes—
420C2×C22⋊D47C22×C414yes—
421C22×Dic47—22no—
422C22×Dic47—22no—
423C22×Dic47—22no—
424C22×Dic47—22no—
425C22×Dic47—22no—
426C22×Dic47—22no—
427C22×Dic47—22no—
428C22×Dic47—22no—
429C22×Dic47—22no—
430C22×Dic47—22no—
431C22×Dic47—22no—
432C22×Dic47—41no—
433C22×Dic47—41no—
434C22×Dic47C22×C414yes—
435C22×Dic47#4114yes—
436C22×Dic47C2411yescharacteristic
437C22×Dic47C2411yescharacteristic
438C22×Dic47C2411yescharacteristic
439C22×Dic47C2411yescharacteristic
440C22×Dic47C2411yescharacteristic
441C22×Dic47C2411yescharacteristic
442C22×Dic47C2411yescharacteristic
443C22×Dic47C2411yescharacteristic
444C22×Dic47C2411yescharacteristic
445C22×Dic47C2411yescharacteristic
446C22×Dic47C2411yescharacteristic
447C22×Dic47C2411yescharacteristic
448C22×Dic47C2411yescharacteristic
449C22×Dic47C2411yescharacteristic
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—22no—
459C2×C4×D47—22no—
460C2×C4×D47—22no—
461C2×C4×D47—22no—
462C2×C4×D47—22no—
463C2×C4×D47—22no—
464C2×C4×D47—22no—
465C2×C4×D47—416no—
466C2×C4×D47—41no—
467C2×C4×D47—41no—
468C2×C4×D47—41no—
469C2×C4×D47—41no—
470C2×C4×D47—41no—
471C2×C4×D47—41no—
472C2×C4×D47C22×C414yes—
473C2×C4×D47C22×C414yes—
474C2×C4×D47#4114yes—
475C2×Dic94—41no—
476C2×Dic94—41no—
477C2×Dic94C22×C414yescomplemented
478C4⋊C4×C47—41no—
479C4⋊C4×C47—41no—
480C4⋊C4×C47C22×C414yescomplemented
481C22⋊C4×C47—22no—
482C22⋊C4×C47—22no—
483C22⋊C4×C47—22no—
484C22⋊C4×C47—22no—
485C22⋊C4×C47—41no—
486C22⋊C4×C47—41no—
487C22⋊C4×C47C22×C414yes—
488C22⋊C4×C47C22×C414yescomplemented
489C42×C47—22no—
490C42×C47—22no—
491C42×C47—41no—
492C42×C47—41no—
493C42×C47C22×C414yescomplemented
494C22⋊Dic47—22no—
495C22⋊Dic47—22no—
496C22⋊Dic47—22no—
497C22⋊Dic47C22×C414yes—
498C22⋊Dic47C22×C414yes—
499C22⋊Dic47C22×C414yescomplemented
500C22⋊Dic47C22×C414yescomplemented
501C22⋊Dic47#4114yes—
502(C2×D47)⋊C4—22no—
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—41no—
510(C2×D47)⋊C4—41no—
511(C2×D47)⋊C4C22×C414yes—
512(C2×D47)⋊C4C22×C414yes—
513(C2×D47)⋊C4C22×C414yes—
514(C2×D47)⋊C4C22×C414yes—
515(C2×D47)⋊C4C22×C414yes—
516(C2×D47)⋊C4C22×C414yes—
517(C2×D47)⋊C4C22×C414yes—
518(C2×D47)⋊C4C22×C414yes—
519(C2×D47)⋊C4#4114yes—
520C4⋊Dic47—22no—
521C4⋊Dic47—22no—
522C4⋊Dic47C22×C414yescomplemented
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⋊C4—41no—
532Dic47⋊C4—41no—
533Dic47⋊C4C22×C414yescomplemented
534Dic47⋊C4C22×C414yescomplemented
535Dic47⋊C4C22×C414yescomplemented
536Dic47⋊C4C22×C414yescomplemented
537Dic47⋊C4C22×C414yescomplemented
538Dic47⋊C4C22×C414yescomplemented
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—22no—
557C4×Dic47—22no—
558C4×Dic47—41no—
559C4×Dic47—41no—
560C4×Dic47—41no—
561C4×Dic47—41no—
562C4×Dic47—41no—
563C4×Dic47—41no—
564C4×Dic47—41no—
565C4×Dic47C22×C414yescomplemented
566C4×Dic47C22×C414yescomplemented
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×C47C23×C412yes—
578C23×C47C23×C412yes—
579C23×C47C2×#4112yes—
580C23×C47C2×#4112yes—
581C23×C47C2511yescharacteristic
582C22×D47—21no—
583C22×D47—21no—
584C22×D47—21no—
585C22×D47—21no—
586C22×D47—28no—
587C22×D47—21no—
588C22×D47—21no—
589C22×D47—21no—
590C22×D47—21no—
591C22×D47—21no—
592C22×D47—21no—
593C22×D47—28no—
594C22×D47—44no—
595C22×D47—44no—
596C22×D47—44no—
597C22×D47—44no—
598C22×D47—44no—
599C22×D47C23×C412yes—
600C22×D47C23×C412yes—
601C22×D47C2×#4112yes—
602C22×D47C2×#4112yes—
603D4×C47—28no—
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—21no—
627C2×C4×C47—21no—
628C2×C4×C47—21no—
629C2×C4×C47—21no—
630C2×C4×C47—21no—
631C2×C4×C47—21no—
632C2×C4×C47—21no—
633C2×C4×C47—21no—
634C2×C4×C47—21no—
635C2×C4×C47—21no—
636C2×C4×C47—44no—
637C2×C4×C47—44no—
638C2×C4×C47—44no—
639C2×C4×C47—44no—
640C2×C4×C47C23×C412yes—
641C2×C4×C47C23×C412yes—
642C2×C4×C47C23×C412yes—
643C2×C4×C47C23×C412yes—
644C2×C4×C47C23×C412yes—
645C2×C4×C47C2×#4112yes—
646C2×C4×C47C2×#4112yes—
647C22⋊D47—28no—
648C22⋊D47—44no—
649C2×Dic47—28no—
650C2×Dic47—21no—
651C2×Dic47—21no—
652C2×Dic47—21no—
653C2×Dic47—21no—
654C2×Dic47—21no—
655C2×Dic47—21no—
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—28no—
671C2×Dic47—21no—
672C2×Dic47—21no—
673C2×Dic47—21no—
674C2×Dic47—21no—
675C2×Dic47—21no—
676C2×Dic47—21no—
677C2×Dic47—21no—
678C2×Dic47—21no—
679C2×Dic47—21no—
680C2×Dic47—44no—
681C2×Dic47—44no—
682C2×Dic47—44no—
683C2×Dic47C23×C412yes—
684C2×Dic47C23×C412yes—
685C2×Dic47C23×C412yes—
686C2×Dic47C23×C412yes—
687C2×Dic47C23×C412yes—
688C2×Dic47C23×C412yes—
689C2×Dic47C2×#4112yes—
690C2×Dic47C2×#4112yes—
691C2×Dic47C2×#4112yes—
692C2×Dic47C2×#4112yes—
693C2×Dic47C2×#4112yes—
694C2×Dic47C2×#4112yes—
695C2×Dic47H(5,𝔽2)12yes—
696C4×D47—28no—
697C4×D47—28no—
698C4×D47—44no—
699C4×D47—44no—
700C4×D47—44no—
701C4×D47—44no—
702C4×D47—44no—
703C4×D47—44no—
704Dic94—44no—
705C4×#551—471nomaximal, Sylow
706C22×C47—22no—
707C22×C47—22no—
708C22×C47—22no—
709C22×C47—22no—
710C22×C47—22no—
711C22×C47—22no—
712C22×C47—22no—
713C22×C47—22no—
714C22×C47—22no—
715C22×C47—41no—
716C22×C47—41no—
717C22×C47—41no—
718C22×C47—41no—
719C22×C47C4×#4114yes—
720C22×C47C24×C411yescharacteristic
721C22×C47C22×#4111yescharacteristic
722C22×C47C22×#4111yescharacteristic
723C22×C47C22×#4111yescharacteristic
724C22×C47C22×#4111yescharacteristic
725C22×C47C2×H(5,𝔽2)11yescharacteristic
726C22×C47#58511yescharacteristic
727C2×D47—22no—
728C2×D47—22no—
729C2×D47—22no—
730C2×D47—22no—
731C2×D47—22no—
732C2×D47—22no—
733C2×D47—22no—
734C2×D47—22no—
735C2×D47—22no—
736C2×D47—416no—
737C2×D47—41no—
738C2×D47—41no—
739C2×D47—41no—
740C2×D47—41no—
741C2×D47C4×#4114yes—
742C4×C47—22no—
743C4×C47—22no—
744C4×C47—22no—
745C4×C47—22no—
746C4×C47—22no—
747C4×C47—22no—
748C4×C47—22no—
749C4×C47—41no—
750C4×C47—41no—
751C4×C47—41no—
752C4×C47—41no—
753C4×C47—41no—
754C4×C47—41no—
755Dic47—22no—
756Dic47—22no—
757Dic47—22no—
758Dic47—22no—
759Dic47—22no—
760Dic47—22no—
761Dic47—22no—
762Dic47—22no—
763Dic47—22no—
764Dic47—22no—
765Dic47—41no—
766Dic47—41no—
767Dic47—41no—
768Dic47#55114yescomplemented
769C2×#551—471no—
770#2374—471no—
771#2373—471no—
772#2373—471no—
773#2372—471no—
774#2368—471no—
775#2368—471no—
776#2359—471no—
777#2359—471no—
778#2358—471no—
779#2353—471no—
780#2353D4711yescharacteristic, complemented
781#2343—471no—
782#2343—471no—
783#2342—471no—
784#2342—471no—
785C4×#126—471no—
786C4×#126—471no—
787C4×#124—471no—
788C4×C22⋊Q8—471no—
789C4×C22⋊Q8—471no—
790C4×#123—471no—
791C4×#123—471no—
792C4×#123—471no—
793C4×#120—471no—
794C42×D4—471no—
795C42×D4—471no—
796C4×#117—471no—
797C4×#117—471no—
798C2×C4×C22⋊C4—471no—
799C2×C4×C22⋊C4—471no—
800C2×C47—24no—
801C2×C47—42no—
802C2×C47C2×C4×#4111yescharacteristic
803C2×C47C2×C4×#4111yescharacteristic
804C2×C47C4×H(5,𝔽2)11yescharacteristic
805C2×C47C2×#55111yescharacteristic
806C2×C47#347511yescharacteristic
807C2×C47#347511yescharacteristic
808C2×C47#348111yescharacteristic
809D47—24no—
810D47—42no—
811C24×C4—471no—
812#551—4716no—
813C2×#126—471no—
814C2×#126—471no—
815C2×#124—471no—
816C2×#123—471no—
817C2×#123—471no—
818C2×#123—471no—
819C2×C22⋊Q8—471no—
820C2×C22⋊Q8—471no—
821C2×#120—471no—
822C2×C4×Q8—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×D4C2×D4711yescharacteristic
830C2×#117—471no—
831C2×#117—471no—
832C2×#117—471no—
833C2×#117—471no—
834C22×C22⋊C4—471no—
835C22×C22⋊C4—471no—
836C22×C22⋊C4—471no—
837C22×C22⋊C4—471no—
838C22×C42—471no—
839C22×C42—471no—
840C22×C42—471no—
841C22×C42—471no—
842C22×C42—471no—
843#391—471no—
844#391—471no—
845#391—471no—
846#390—471no—
847#389—471no—
848#389—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#388—471no—
862#388—471no—
863#388C2×D4711yescharacteristic, complemented
864#388C2×D4711yescharacteristic, complemented
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#387—471no—
878#387—471no—
879#387C2×D4711yescharacteristic, complemented
880#387C2×D4711yescharacteristic, complemented
881#386—471no—
882#386—471no—
883#386—471no—
884#386—471no—
885#386C2×D4711yescharacteristic
886#386C2×D4711yescharacteristic
887#385—471no—
888#385—471no—
889#385—471no—
890#385—471no—
891#385—471no—
892#385—471no—
893#385—471no—
894#385—471no—
895#385—471no—
896#385—471no—
897#383—471no—
898#383C2×D4711yescharacteristic, complemented
899#382—471no—
900#381—471no—
901#381—471no—
902#381C2×D4711yescharacteristic, complemented
903#380—471no—
904#380C2×D4711yescharacteristic
905#379—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×C22⋊C4—471no—
923C4×C22⋊C4—471no—
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⋊C4—471no—
949C4×C22⋊C4—471no—
950C4×C22⋊C4—471no—
951C4×C22⋊C4—471no—
952C4×C22⋊C4—471no—
953C4×C22⋊C4C2×D4711yescharacteristic
954C4×C22⋊C4C2×D4711yescharacteristic
955C4×C22⋊C4C2×D4711yescharacteristic, complemented
956#376—471no—
957#376—471no—
958#376—471no—
959#376C2×D4711yescharacteristic, complemented
960C2×#95—471no—
961C2×#95—471no—
962C2×#95—471no—
963C2×#95C2×D4711yescharacteristic
964C43—471no—
965C43—471no—
966C43—471no—
967C47C4×#55111yescharacteristic, complemented, Sylow
968C25—471no—
969C22×Q8—471no—
970C22×D4—471no—
971C22×D4—471no—
972C22×D4C22×D4711yescharacteristic
973C23×C4—471no—
974C23×C4—471no—
975C23×C4—471no—
976C23×C4—471no—
977C23×C4—471no—
978C23×C4—471no—
979C23×C4—471no—
980C23×C4—471no—
981C23×C4—471no—
982C23×C4—471no—
983C23×C4—471no—
984C23×C4—471no—
985C23×C4—471no—
986C23×C4—944no—
987C23×C4—944no—
988C23×C4—1882no—
989C23×C4C22×D4711yescharacteristic
990C23×C4C22×D4711yescharacteristic
991C23×C4C22×D4711yescharacteristic
992C23×C4C22×D4711yescharacteristic
993#126—478no—
994#126—478no—
995#124—478no—
996#123—478no—
997#123—478no—
998#123—478no—
999C22⋊Q8—478no—
1000C22⋊Q8—478no—
1001#120—478no—
1002C4×Q8—1882no—
1003C4×D4—478no—
1004C4×D4—944no—
1005C4×D4—944no—
1006C4×D4—944no—
1007C4×D4—944no—
1008C4×D4—1882no—
1009C4×D4C4×D4718yescomplemented
1010#117—478no—
1011#117—478no—
1012#117—944no—
1013#117—944no—
1014C2×C4⋊C4—471no—
1015C2×C4⋊C4—471no—
1016C2×C4⋊C4—471no—
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—471no—
1030C2×C4⋊C4—471no—
1031C2×C4⋊C4—471no—
1032C2×C4⋊C4—471no—
1033C2×C4⋊C4C22×D4711yescharacteristic
1034C2×C4⋊C4C22×D4711yescharacteristic
1035C2×C4⋊C4C22×D4711yescharacteristic
1036C2×C22⋊C4—471no—
1037C2×C22⋊C4—471no—
1038C2×C22⋊C4—471no—
1039C2×C22⋊C4—471no—
1040C2×C22⋊C4—471no—
1041C2×C22⋊C4—478no—
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—478no—
1052C2×C22⋊C4—471no—
1053C2×C22⋊C4—471no—
1054C2×C22⋊C4—471no—
1055C2×C22⋊C4—471no—
1056C2×C22⋊C4—471no—
1057C2×C22⋊C4—471no—
1058C2×C22⋊C4—471no—
1059C2×C22⋊C4—471no—
1060C2×C22⋊C4—471no—
1061C2×C22⋊C4—471no—
1062C2×C22⋊C4—471no—
1063C2×C22⋊C4—471no—
1064C2×C22⋊C4—944no—
1065C2×C22⋊C4—944no—
1066C2×C22⋊C4C22×D4711yescharacteristic
1067C2×C22⋊C4C22×D4711yescharacteristic
1068C2×C22⋊C4C22×D4711yescharacteristic
1069C2×C22⋊C4C22×D4711yescharacteristic
1070C2×C22⋊C4C22×D4711yescharacteristic
1071C2×C22⋊C4C22×D4711yescharacteristic
1072C2×C22⋊C4C22×D4711yescharacteristic
1073C2×C22⋊C4C22×D4711yescharacteristic
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—471no—
1096C2×C42—471no—
1097C2×C42—471no—
1098C2×C42—471no—
1099C2×C42—471no—
1100C2×C42—471no—
1101C2×C42—471no—
1102C2×C42—944no—
1103C2×C42—944no—
1104C2×C42—1882no—
1105C2×C42—1882no—
1106C2×C42—1882no—
1107C2×C42C22×D4711yescharacteristic
1108C2×C42C22×D4711yescharacteristic
1109C2×C42C22×D4711yescharacteristic
1110C2×C42C22×D4711yescharacteristic
1111C2×C42C22×D4711yescharacteristic
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#95—471no—
1139#95—471no—
1140#95—471no—
1141#95—471no—
1142#95C22×D4711yescharacteristic
1143#95C22×D4711yescharacteristic
1144#95C22×D4711yescharacteristic
1145#95C22×D4711yescharacteristic
1146#95C22×D4711yescharacteristic
1147#95C22×D4711yescharacteristic
1148#95C22×D4711yescharacteristic
1149#95C22×D4711yescharacteristic
1150#95C22×D4711yescharacteristic
1151#95C22×D4711yescharacteristic
1152#95C22×D4711yescharacteristic
1153#95C22×D4711yescharacteristic
1154#95C22×D4711yescharacteristic
1155#95C22×D4711yescharacteristic
1156C24—471no—
1157C24—471no—
1158C24—474no—
1159C24—942no—
1160C24—942no—
1161C24—942no—
1162C24—942no—
1163C24—1881no—
1164C24—1881no—
1165C24C23×D4711yescharacteristic
1166C24C23×D4711yescharacteristic
1167C2×Q8—474no—
1168C2×Q8—1881no—
1169C2×Q8—1881no—
1170C2×D4—22no—
1171C2×D4—22no—
1172C2×D4—474no—
1173C2×D4—474no—
1174C2×D4—942no—
1175C2×D4—942no—
1176C2×D4—1881no—
1177C2×D4—1881no—
1178C2×D4C2×C4×D4714yes—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—41no—
1184C22×C4—41no—
1185C22×C4—41no—
1186C22×C4—41no—
1187C22×C4—41no—
1188C22×C4—41no—
1189C22×C4—471no—
1190C22×C4—474no—
1191C22×C4—474no—
1192C22×C4—471no—
1193C22×C4—471no—
1194C22×C4—471no—
1195C22×C4—471no—
1196C22×C4—471no—
1197C22×C4—471no—
1198C22×C4—471no—
1199C22×C4—471no—
1200C22×C4—471no—
1201C22×C4—471no—
1202C22×C4—474no—
1203C22×C4—474no—
1204C22×C4—474no—
1205C22×C4—471no—
1206C22×C4—471no—
1207C22×C4—471no—
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—942no—
1221C22×C4—942no—
1222C22×C4—942no—
1223C22×C4—942no—
1224C22×C4—942no—
1225C22×C4—942no—
1226C22×C4—942no—
1227C22×C4—942no—
1228C22×C4—942no—
1229C22×C4—942no—
1230C22×C4—942no—
1231C22×C4—942no—
1232C22×C4—942no—
1233C22×C4—942no—
1234C22×C4—1881no—
1235C22×C4—1881no—
1236C22×C4—1881no—
1237C22×C4—1881no—
1238C22×C4—1881no—
1239C22×C4—1881no—
1240C22×C4—18816no—
1241C22×C4—1881no—
1242C22×C4—1881no—
1243C22×C4C2×C4×D4714yes—
1244C22×C4C2×C4×D4714yescomplemented
1245C22×C4C23×D4711yescharacteristic
1246C22×C4C23×D4711yescharacteristic
1247C22×C4C23×D4711yescharacteristic
1248C22×C4C23×D4711yescharacteristic
1249C22×C4C23×D4711yescharacteristic
1250C22×C4C23×D4711yescharacteristic
1251C22×C4C23×D4711yescharacteristic
1252C22×C4C23×D4711yescharacteristic
1253C22×C4C23×D4711yescharacteristic
1254C22×C4C23×D4711yescharacteristic
1255C22×C4C23×D4711yescharacteristic
1256C22×C4C23×D4711yescharacteristic
1257C22×C4C23×D4711yescharacteristic
1258C4⋊C4—41no—
1259C4⋊C4—41no—
1260C4⋊C4—474no—
1261C4⋊C4—474no—
1262C4⋊C4—474no—
1263C4⋊C4—474no—
1264C4⋊C4—474no—
1265C4⋊C4—474no—
1266C4⋊C4—474no—
1267C4⋊C4—942no—
1268C4⋊C4—942no—
1269C4⋊C4—942no—
1270C4⋊C4—942no—
1271C4⋊C4—942no—
1272C4⋊C4—942no—
1273C4⋊C4—942no—
1274C4⋊C4—942no—
1275C4⋊C4—1881no—
1276C4⋊C4—1881no—
1277C4⋊C4—1881no—
1278C4⋊C4—1881no—
1279C4⋊C4C2×C4×D4714yescomplemented
1280C22⋊C4—22no—
1281C22⋊C4—22no—
1282C22⋊C4—22no—
1283C22⋊C4—22no—
1284C22⋊C4—41no—
1285C22⋊C4—41no—
1286C22⋊C4—474no—
1287C22⋊C4—474no—
1288C22⋊C4—474no—
1289C22⋊C4—474no—
1290C22⋊C4—474no—
1291C22⋊C4—474no—
1292C22⋊C4—474no—
1293C22⋊C4—474no—
1294C22⋊C4—474no—
1295C22⋊C4—474no—
1296C22⋊C4—474no—
1297C22⋊C4—474no—
1298C22⋊C4—474no—
1299C22⋊C4—474no—
1300C22⋊C4—942no—
1301C22⋊C4—942no—
1302C22⋊C4—942no—
1303C22⋊C4—942no—
1304C22⋊C4—942no—
1305C22⋊C4—942no—
1306C22⋊C4—942no—
1307C22⋊C4—942no—
1308C22⋊C4—942no—
1309C22⋊C4—942no—
1310C22⋊C4—1881no—
1311C22⋊C4—1881no—
1312C22⋊C4C2×C4×D4714yes—
1313C22⋊C4C2×C4×D4714yescomplemented
1314C42—22no—
1315C42—22no—
1316C42—41no—
1317C42—41no—
1318C42—474no—
1319C42—474no—
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—942no—
1333C42—942no—
1334C42—942no—
1335C42—942no—
1336C42—942no—
1337C42—942no—
1338C42—942no—
1339C42—1881no—
1340C42—1881no—
1341C42—1881no—
1342C42—1881no—
1343C42—1881no—
1344C42—1881no—
1345C42—1881no—
1346C42C2×C4×D4714yescomplemented
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—472no—
1358C23—472no—
1359C23—472no—
1360C23—472no—
1361C23—948no—
1362C23—941no—
1363C23—941no—
1364C23—941no—
1365C23—941no—
1366C23—948no—
1367C23—941no—
1368C23—941no—
1369C23—941no—
1370C23—941no—
1371C23—941no—
1372C23—941no—
1373C23—1884no—
1374C23—1884no—
1375C23—1884no—
1376C23—1884no—
1377C23—1884no—
1378C23C22×C4×D4712yes—
1379C23C22×C4×D4712yes—
1380C23#41×D4712yes—
1381C23#41×D4712yes—
1382C23C24×D4711yescharacteristic
1383Q8—1884no—
1384D4—28no—
1385D4—948no—
1386D4—1884no—
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—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—44no—
1420C2×C4—44no—
1421C2×C4—44no—
1422C2×C4—44no—
1423C2×C4—472no—
1424C2×C4—472no—
1425C2×C4—472no—
1426C2×C4—472no—
1427C2×C4—472no—
1428C2×C4—472no—
1429C2×C4—472no—
1430C2×C4—472no—
1431C2×C4—472no—
1432C2×C4—472no—
1433C2×C4—472no—
1434C2×C4—472no—
1435C2×C4—472no—
1436C2×C4—948no—
1437C2×C4—948no—
1438C2×C4—948no—
1439C2×C4—948no—
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—941no—
1451C2×C4—941no—
1452C2×C4—941no—
1453C2×C4—941no—
1454C2×C4—941no—
1455C2×C4—941no—
1456C2×C4—941no—
1457C2×C4—941no—
1458C2×C4—941no—
1459C2×C4—941no—
1460C2×C4—941no—
1461C2×C4—941no—
1462C2×C4—941no—
1463C2×C4—941no—
1464C2×C4—941no—
1465C2×C4—941no—
1466C2×C4—941no—
1467C2×C4—941no—
1468C2×C4—941no—
1469C2×C4—1884no—
1470C2×C4—1884no—
1471C2×C4—1884no—
1472C2×C4—1884no—
1473C2×C4—1884no—
1474C2×C4—1884no—
1475C2×C4—1884no—
1476C2×C4—1884no—
1477C2×C4—1884no—
1478C2×C4C22×C4×D4712yes—
1479C2×C4C22×C4×D4712yes—
1480C2×C4C22×C4×D4712yes—
1481C2×C4C22×C4×D4712yes—
1482C2×C4C22×C4×D4712yes—
1483C2×C4#41×D4712yes—
1484C2×C4#41×D4712yes—
1485C22—22no—
1486C22—22no—
1487C22—22no—
1488C22—22no—
1489C22—22no—
1490C22—22no—
1491C22—22no—
1492C22—22no—
1493C22—22no—
1494C22—41no—
1495C22—41no—
1496C22—41no—
1497C22—41no—
1498C22—474no—
1499C22—942no—
1500C22—942no—
1501C22—942no—
1502C22—942no—
1503C22—942no—
1504C22—942no—
1505C22—942no—
1506C22—942no—
1507C22—942no—
1508C22—18816no—
1509C22—1881no—
1510C22—1881no—
1511C22—1881no—
1512C22—1881no—
1513C22#1568959114yes—
1514C22C23×C4×D4711yescharacteristic
1515C22C2×#41×D4711yescharacteristic
1516C22C2×#41×D4711yescharacteristic
1517C22C2×#41×D4711yescharacteristic
1518C22C2×#41×D4711yescharacteristic
1519C22H(5,𝔽2)×D4711yescharacteristic
1520C22#1568995811yescharacteristic
1521C4—22no—
1522C4—22no—
1523C4—22no—
1524C4—22no—
1525C4—22no—
1526C4—22no—
1527C4—22no—
1528C4—41no—
1529C4—41no—
1530C4—41no—
1531C4—41no—
1532C4—41no—
1533C4—41no—
1534C4—474no—
1535C4—942no—
1536C4—942no—
1537C4—942no—
1538C4—942no—
1539C4—942no—
1540C4—942no—
1541C4—942no—
1542C4—942no—
1543C4—942no—
1544C4—942no—
1545C4—1881no—
1546C4—1881no—
1547C4—1881no—
1548C2—24no—
1549C2—42no—
1550C2—944no—
1551C2—1882no—
1552C2C4×#41×D4711yescharacteristic
1553C2C2×#1568959111yescharacteristic
1554C2#2025659211yescharacteristic
1555C2#551×D4711yescharacteristic
1556C2#2025694311yescharacteristic
1557C2#2025694711yescharacteristic
1558C2#2025699511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutatorC22×C47C24×C4
FittingC47×#2353C2
socle, cosocleC23×C47C25
prime radicalC2×#13093992C22
hypercenter#2353D47
hypocenterC47C4×#551
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2353

Complements

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

NH ≅ G/Ntype
2. #20246519C2semidirect
3. #20246514C2semidirect
4. #20246508C2semidirect
5. #20246495C2semidirect
6. #20246468C2semidirect
7. #20246465C2semidirect
8. #20246386C2semidirect
9. #20246377C2semidirect
11. #20246325C2semidirect
12. #20246245C2semidirect
13. #20246242C2semidirect
14. #20246234C2semidirect
15. #20246231C2semidirect
16. #20245938C2semidirect
17. #20245936C2semidirect
18. #20245929C2semidirect
19. #20245922C2semidirect
20. #20245916C2semidirect
21. #20245915C2semidirect
22. #20245913C2semidirect
23. #20245905C2semidirect
25. C4×D4×Dic47C2semidirect
26. C4×(C22⋊D47)⋊C4C2semidirect
27. #20245727C2semidirect
28. C4×#13093980C2semidirect
29. C2×#15688970C2semidirect
30. C4×C22⋊C4×D47C2semidirect
31. C47×#2353C2semidirect
33. #15689802C4semidirect
43. C2×#13093989C22semidirect
60. C22×C4×Dic47C22semidirect
63. #15689028C22semidirect
64. #15689027C22semidirect
65. #15689027C22semidirect
67. #15689020C22semidirect
68. #15689019C22semidirect
69. #15689017C22semidirect
70. #15689017C22semidirect
71. #15689017C22semidirect
82. #15689011C22semidirect
83. #15689010C22semidirect
84. #15689010C22semidirect
85. #15689010C22semidirect
86. #15689008C22semidirect
87. #15689008C22semidirect
88. #15689007C22semidirect
89. #15689007C22semidirect
90. #15689005C22semidirect
91. #15689005C22semidirect
92. #15689005C22semidirect
93. #15689005C22semidirect
94. #15689005C22semidirect
95. #15689005C22semidirect
96. #15689005C22semidirect
108. #15688995C22semidirect
111. #15688990C22semidirect
112. #15688987C22semidirect
117. C4⋊C4×Dic47C22semidirect
118. C4⋊C4×Dic47C22semidirect
119. C4⋊C4×Dic47C22semidirect
120. C4×Dic47⋊C4C22semidirect
121. C4×Dic47⋊C4C22semidirect
122. C4×Dic47⋊C4C22semidirect
123. C4×C4⋊Dic47C22semidirect
124. #15688974C22semidirect
125. #15688974C22semidirect
126. #15688974C22semidirect
127. #15688974C22semidirect
128. #15688974C22semidirect
129. #15688974C22semidirect
130. #15688974C22semidirect
131. #15688974C22semidirect
132. #15688974C22semidirect
137. C22⋊C4×Dic47C22semidirect
138. C22⋊C4×Dic47C22semidirect
139. C22⋊C4×Dic47C22semidirect
140. C22⋊C4×Dic47C22semidirect
141. C22⋊C4×Dic47C22semidirect
148. C4×C22⋊Dic47C22semidirect
164. #15688969C22semidirect
165. #15688968C22semidirect
166. #15688968C22semidirect
170. C42×Dic47C22semidirect
171. C42×Dic47C22semidirect
172. C42×Dic47C22semidirect
174. C47×#388C22semidirect
175. C47×#388C22semidirect
176. C47×#387C22semidirect
177. C47×#387C22semidirect
180. C47×#383C22semidirect
181. C47×#381C22semidirect
185. C4×C22⋊C4×C47C22semidirect
186. C47×#376C22semidirect
208. #13094019C2×C4semidirect
209. #13094018C2×C4semidirect
210. #13094010C2×C4semidirect
211. #13094007C2×C4semidirect
212. #13094006C2×C4semidirect
213. #13094005C2×C4semidirect
214. #13094003C2×C4semidirect
215. #13094002C2×C4semidirect
220. C4×C22⋊D47C2×C4semidirect
225. #13093981C2×C4semidirect
227. #13093980C2×C4semidirect
256. C2×(C2×D47)⋊C4C2×C4semidirect
276. C22⋊C4×D47C2×C4semidirect
345. C4×D4×C47C2×C4semidirect
401. C22×C4×C47C22×C4semidirect
477. C2×Dic94C22×C4semidirect
480. C4⋊C4×C47C22×C4semidirect
488. C22⋊C4×C47C22×C4semidirect
493. C42×C47C22×C4semidirect
499. C22⋊Dic47C22×C4semidirect
500. C22⋊Dic47C22×C4semidirect
522. C4⋊Dic47C22×C4semidirect
533. Dic47⋊C4C22×C4semidirect
534. Dic47⋊C4C22×C4semidirect
535. Dic47⋊C4C22×C4semidirect
536. Dic47⋊C4C22×C4semidirect
537. Dic47⋊C4C22×C4semidirect
538. Dic47⋊C4C22×C4semidirect
565. C4×Dic47C22×C4semidirect
566. C4×Dic47C22×C4semidirect
768. Dic47#551semidirect
780. #2353D47semidirect
863. #388C2×D47semidirect
864. #388C2×D47semidirect
879. #387C2×D47semidirect
880. #387C2×D47semidirect
898. #383C2×D47semidirect
902. #381C2×D47semidirect
955. C4×C22⋊C4C2×D47semidirect
959. #376C2×D47semidirect
967. C47C4×#551semidirect
1009. C4×D4C4×D47semidirect
1244. C22×C4C2×C4×D47semidirect
1279. C4⋊C4C2×C4×D47semidirect
1313. C22⋊C4C2×C4×D47semidirect
1346. C42C2×C4×D47semidirect

Maximal subgroups

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

subgroupindex
C2×#156898022
#202465192
#202465142
#202465082
#202464952
#202464682
#202464652
#202463862
#202463772
#202463682
#202463252
#202462452
#202462422
#202462342
#202462312
#202459382
#202459362
#202459292
#202459222
#202459162
#202459152
#202459132
#202459052
#202458932
C4×D4×Dic472
C4×(C22⋊D47)⋊C42
#202457272
C4×#130939802
C2×#156889702
C4×C22⋊C4×D472
C47×#23532
C4×#55147