Finite Group Databasebeta

← #26376148

Subgroups — #26376148

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×#15689797C211yesmaximal, characteristic
2#20246520C211yesmaximal, characteristic, complemented
3#20246504C211yesmaximal, characteristic, complemented
4#20246501C211yesmaximal, characteristic, complemented
5#20246498C211yesmaximal, characteristic, complemented
6#20246469C211yesmaximal, characteristic, complemented
7#20246465C211yesmaximal, characteristic, complemented
8#20246376C211yesmaximal, characteristic, complemented
9#20246373C211yesmaximal, characteristic, complemented
10#20246364C211yesmaximal, characteristic
11#20246322C211yesmaximal, characteristic, complemented
12#20246321C211yesmaximal, characteristic, complemented
13#20246241C211yesmaximal, characteristic, complemented
14#20246231C211yesmaximal, characteristic, complemented
15#20246230C211yesmaximal, characteristic, complemented
16#20245938C211yesmaximal, characteristic, complemented
17#20245936C211yesmaximal, characteristic, complemented
18#20245927C211yesmaximal, characteristic, complemented
19#20245922C211yesmaximal, characteristic, complemented
20#20245920C211yesmaximal, characteristic, complemented
21#20245909C211yesmaximal, characteristic, complemented
22#20245909C211yesmaximal, characteristic, complemented
23#20245905C211yesmaximal, characteristic, complemented
24#20245889C211yesmaximal, characteristic
25C4×#13093986C211yesmaximal, characteristic, complemented
26C4×(C22⋊D47)⋊C4C211yesmaximal, characteristic, complemented
27#117×Dic47C211yesmaximal, characteristic, complemented
28#20245727C211yesmaximal, characteristic, complemented
29C2×#15688970C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D47C211yesmaximal, characteristic, complemented
31C47×#2343C211yesmaximal, characteristic, complemented
32C23×C4×D47C2211yescharacteristic
33#15689797C4116yescomplemented
34C2×#13094019C2211yescharacteristic
35C2×#13094018C2211yescharacteristic
36C2×#13094012C2211yescharacteristic
37C2×#13094009C2211yescharacteristic
38C2×#13094009C2211yescharacteristic
39C2×#13094007C2211yescharacteristic
40C2×#13094002C2211yescharacteristic
41C2×#13094001C2211yescharacteristic
42C2×#13093994C2211yescharacteristic
43C2×#13093989C2211yescharacteristic, complemented
44C2×C4×D188C2211yescharacteristic
45C2×#13093986C2211yescharacteristic
46C2×#13093986C2211yescharacteristic
47C2×#13093986C2211yescharacteristic
48C2×C4×C22⋊D47C2211yescharacteristic
49C2×(C22⋊D47)⋊C4C2211yescharacteristic
50C2×(C22⋊D47)⋊C4C2211yescharacteristic
51C2×#13093983C2211yescharacteristic
52C2×#13093981C2211yescharacteristic
53C2×#13093981C2211yescharacteristic
54C22×(C2×D47)⋊C4C2211yescharacteristic
55C22×(C2×D47)⋊C4C2211yescharacteristic
56C2×C22⋊C4×D47C2211yescharacteristic
57C2×C22⋊C4×D47C2211yescharacteristic
58C22×C4×Dic47C2211yescharacteristic
59C22×C4×Dic47C2211yescharacteristic
60C2×C42×D47C2211yescharacteristic
61C2×C42×D47C2211yescharacteristic
62C2×C42×D47C2211yescharacteristic, complemented
63#15689028C2211yescharacteristic, complemented
64#15689027C2211yescharacteristic, complemented
65#15689027C2211yescharacteristic, complemented
66#15689024C2211yescharacteristic
67#15689020C2211yescharacteristic, complemented
68#15689018C2211yescharacteristic, complemented
69#15689015C2211yescharacteristic
70#15689015C2211yescharacteristic
71#15689015C2211yescharacteristic, complemented
72#15689014C2211yescharacteristic
73#15689014C2211yescharacteristic
74#15689014C2211yescharacteristic, complemented
75#15689013C2211yescharacteristic
76#15689012C2211yescharacteristic
77#15689012C2211yescharacteristic
78#15689012C2211yescharacteristic
79#15689012C2211yescharacteristic
80#15689012C2211yescharacteristic
81#15689012C2211yescharacteristic, complemented
82#15689012C2211yescharacteristic, complemented
83#15689012C2211yescharacteristic, complemented
84#15689012C2211yescharacteristic, complemented
85#15689010C2211yescharacteristic, complemented
86#15689008C2211yescharacteristic, complemented
87#15689008C2211yescharacteristic, complemented
88#15689007C2211yescharacteristic, complemented
89#15689005C2211yescharacteristic, complemented
90#15689005C2211yescharacteristic, complemented
91#15689005C2211yescharacteristic, complemented
92#15689005C2211yescharacteristic, complemented
93#15689005C2211yescharacteristic, complemented
94#15689004C2211yescharacteristic, complemented
95#15689004C2211yescharacteristic, complemented
96#15689004C2211yescharacteristic, complemented
97#15689002C2211yescharacteristic
98#15689001C2211yescharacteristic
99#15689001C2211yescharacteristic
100#15689001C2211yescharacteristic
101#15689001C2211yescharacteristic
102#15689000C2211yescharacteristic
103#15688997C2211yescharacteristic
104#15688997C2211yescharacteristic
105#15688997C2211yescharacteristic, complemented
106#15688996C2211yescharacteristic
107#15688995C2211yescharacteristic
108#15688994C2211yescharacteristic
109#15688994C2211yescharacteristic
110#15688994C2211yescharacteristic
111#15688990C2211yescharacteristic, complemented
112#15688985C2211yescharacteristic
113#15688985C2211yescharacteristic, complemented
114#15688982C2211yescharacteristic
115#15688981C2211yescharacteristic
116#15688978C2211yescharacteristic
117C4⋊C4×Dic47C2211yescharacteristic, complemented
118C4⋊C4×Dic47C2211yescharacteristic, complemented
119C4⋊C4×Dic47C2211yescharacteristic, complemented
120C4⋊C4×Dic47C2211yescharacteristic, complemented
121C4⋊C4×Dic47C2211yescharacteristic, complemented
122C4⋊C4×Dic47C2211yescharacteristic, complemented
123C4×Dic47⋊C4C2211yescharacteristic, 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
132C22⋊C4×Dic47C2211yescharacteristic
133C22⋊C4×Dic47C2211yescharacteristic
134C22⋊C4×Dic47C2211yescharacteristic
135C22⋊C4×Dic47C2211yescharacteristic
136C22⋊C4×Dic47C2211yescharacteristic
137C22⋊C4×Dic47C2211yescharacteristic
138C4×(C2×D47)⋊C4C2211yescharacteristic
139C4×(C2×D47)⋊C4C2211yescharacteristic
140C4×(C2×D47)⋊C4C2211yescharacteristic
141C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
142C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
143C4×C22⋊Dic47C2211yescharacteristic
144#15688970C2211yescharacteristic
145#15688970C2211yescharacteristic
146#15688970C2211yescharacteristic
147#15688970C2211yescharacteristic
148#15688970C2211yescharacteristic
149#15688970C2211yescharacteristic
150#15688970C2211yescharacteristic
151#15688970C2211yescharacteristic
152#15688970C2211yescharacteristic
153#15688970C2211yescharacteristic
154#15688970C2211yescharacteristic
155#15688970C2211yescharacteristic
156#15688970C2211yescharacteristic
157#15688970C2211yescharacteristic
158#15688970C2211yescharacteristic
159#15688970C2211yescharacteristic, complemented
160#15688970C2211yescharacteristic, complemented
161#15688970C2211yescharacteristic, complemented
162#15688970C2211yescharacteristic, complemented
163#15688970C2211yescharacteristic, complemented
164#15688969C2211yescharacteristic, complemented
165#15688969C2211yescharacteristic, complemented
166#15688969C2211yescharacteristic, complemented
167C2×C47⋊#95C2211yescharacteristic
168#95×D47C2211yescharacteristic
169#95×D47C2211yescharacteristic
170C42×Dic47C2211yescharacteristic, complemented
171C42×Dic47C2211yescharacteristic, complemented
172C42×Dic47C2211yescharacteristic, complemented
173C2×#117×C47C2211yescharacteristic
174C47×#387C2211yescharacteristic, complemented
175C47×#387C2211yescharacteristic, complemented
176C47×#387C2211yescharacteristic, complemented
177C47×#387C2211yescharacteristic, complemented
178C47×#385C2211yescharacteristic
179C47×#385C2211yescharacteristic
180C47×#383C2211yescharacteristic, complemented
181C47×#382C2211yescharacteristic, complemented
182C47×#381C2211yescharacteristic
183C4×C4⋊C4×C47C2211yescharacteristic, complemented
184C4×C22⋊C4×C47C2211yescharacteristic
185C4×C22⋊C4×C47C2211yescharacteristic
186C47×#376C2211yescharacteristic, complemented
187C2×#95×C47C2211yescharacteristic
188C24×D47C2311yescharacteristic
189C22×Dic94C2311yescharacteristic
190C22×D188C2311yescharacteristic
191C22×D188C2311yescharacteristic
192C22×C22⋊D47C2311yescharacteristic
193C23×Dic47C2311yescharacteristic
194C23×Dic47C2311yescharacteristic
195C23×Dic47C2311yescharacteristic
196C22×C4×D47—24no—
197C22×C4×D47—24no—
198C22×C4×D47—42no—
199C22×C4×D47C2311yescharacteristic
200C22×C4×D47C2311yescharacteristic
201C22×C4×D47C2311yescharacteristic
202C22×C4×D47C2311yescharacteristic
203C22×C4×D47C2311yescharacteristic
204C22×C4×D47C2311yescharacteristic
205C22×C4×D47C2311yescharacteristic
206C22×C4×D47C2311yescharacteristic
207C22×C4×D47C2311yescharacteristic
208C22×C4×D47C2311yescharacteristic
209C22×C4×D47C2311yescharacteristic
210#13094019C2×C418yescomplemented
211#13094018C2×C418yescomplemented
212#13094012C2×C418yescomplemented
213#13094009C2×C418yescomplemented
214#13094009C2×C418yescomplemented
215#13094007C2×C418yescomplemented
216#13094002C2×C418yescomplemented
217#13094001C2×C418yescomplemented
218#13093994C2×C418yes—
219#13093989—42no—
220C4×D188C2×C418yescomplemented
221#13093986—24no—
222#13093986—24no—
223#13093986—42no—
224C4×C22⋊D47—24no—
225(C22⋊D47)⋊C4—24no—
226(C22⋊D47)⋊C4C2×C418yescomplemented
227#13093983—24no—
228#13093981—24no—
229#13093981C2×C418yescomplemented
230C2×C4⋊Dic47C2311yescharacteristic
231C2×C4⋊Dic47C2311yescharacteristic
232C2×C4⋊Dic47C2311yescharacteristic
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×C22⋊Dic47C2311yescharacteristic
247C2×C22⋊Dic47C2311yescharacteristic
248C2×C22⋊Dic47C2311yescharacteristic
249C2×(C2×D47)⋊C4—24no—
250C2×(C2×D47)⋊C4C2×C418yescomplemented
251C2×(C2×D47)⋊C4C2311yescharacteristic
252C2×(C2×D47)⋊C4C2311yescharacteristic
253C2×(C2×D47)⋊C4C2311yescharacteristic
254C2×(C2×D47)⋊C4C2311yescharacteristic
255C2×(C2×D47)⋊C4C2311yescharacteristic
256C2×(C2×D47)⋊C4C2311yescharacteristic
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
275C2×(C2×D47)⋊C4C2311yescharacteristic
276C2×(C2×D47)⋊C4C2311yescharacteristic
277C2×(C2×D47)⋊C4C2311yescharacteristic
278C22⋊C4×D47—24no—
279C22⋊C4×D47C2×C418yescomplemented
280C2×C4×Dic47—24no—
281C2×C4×Dic47—42no—
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
308C2×C4×Dic47C2311yescharacteristic
309C42×D47—24no—
310C42×D47—42no—
311C42×D47—42no—
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
340C23×C4×C47C2311yescharacteristic
341C23×C4×C47C2311yescharacteristic
342C23×C4×C47C2311yescharacteristic
343#117×C47C2×C418yescomplemented
344C2×C4⋊C4×C47C2311yescharacteristic
345C2×C4⋊C4×C47C2311yescharacteristic
346C2×C4⋊C4×C47C2311yescharacteristic
347C2×C4⋊C4×C47C2311yescharacteristic
348C2×C4⋊C4×C47C2311yescharacteristic
349C2×C4⋊C4×C47C2311yescharacteristic
350C2×C22⋊C4×C47C2311yescharacteristic
351C2×C22⋊C4×C47C2311yescharacteristic
352C2×C22⋊C4×C47C2311yescharacteristic
353C2×C22⋊C4×C47C2311yescharacteristic
354C2×C42×C47C2311yescharacteristic
355C2×C42×C47C2311yescharacteristic
356C2×C42×C47C2311yescharacteristic
357C2×C42×C47C2311yescharacteristic
358C2×C42×C47C2311yescharacteristic
359C2×C42×C47C2311yescharacteristic
360#95×C47C2311yescharacteristic
361#95×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
377C23×D47—22no—
378C23×D47—22no—
379C23×D47—22no—
380C23×D47—22no—
381C23×D47—41no—
382C23×D47—41no—
383C23×D47C22×C414yes—
384C23×D47C2411yescharacteristic
385C23×D47C2411yescharacteristic
386C23×D47C2411yescharacteristic
387C22×C4×C47—22no—
388C22×C4×C47—22no—
389C22×C4×C47—22no—
390C22×C4×C47—22no—
391C22×C4×C47—22no—
392C22×C4×C47—22no—
393C22×C4×C47—41no—
394C22×C4×C47—41no—
395C22×C4×C47C22×C414yes—
396C22×C4×C47C2411yescharacteristic
397C22×C4×C47C2411yescharacteristic
398C22×C4×C47C2411yescharacteristic
399C22×C4×C47C2411yescharacteristic
400C22×C4×C47C2411yescharacteristic
401C22×C4×C47C2411yescharacteristic
402C22×C4×C47C2411yescharacteristic
403C22×C4×C47C2411yescharacteristic
404C22×C4×C47C2411yescharacteristic
405C22×C4×C47C2411yescharacteristic
406C22×C4×C47C2411yescharacteristic
407C22×C4×C47C2411yescharacteristic
408C22×C4×C47C2411yescharacteristic
409C22×C4×C47C2411yescharacteristic
410C2×C22⋊D47—22no—
411C2×C22⋊D47—22no—
412C2×C22⋊D47C22×C414yes—
413C22×Dic47—22no—
414C22×Dic47—22no—
415C22×Dic47—22no—
416C22×Dic47—22no—
417C22×Dic47—41no—
418C22×Dic47—41no—
419C22×Dic47—41no—
420C22×Dic47C22×C414yes—
421C22×Dic47#4114yes—
422C22×Dic47C2411yescharacteristic
423C22×Dic47C2411yescharacteristic
424C22×Dic47C2411yescharacteristic
425C22×Dic47C2411yescharacteristic
426C22×Dic47C2411yescharacteristic
427C22×Dic47C2411yescharacteristic
428C22×Dic47C2411yescharacteristic
429C22×Dic47C2411yescharacteristic
430C22×Dic47C2411yescharacteristic
431C22×Dic47C2411yescharacteristic
432C22×Dic47C2411yescharacteristic
433C22×Dic47C2411yescharacteristic
434C22×Dic47C2411yescharacteristic
435C2×D188—22no—
436C2×D188—22no—
437C2×D188—41no—
438C2×D188—41no—
439C2×D188C22×C414yes—
440C2×D188C22×C414yes—
441C2×C4×D47—22no—
442C2×C4×D47—22no—
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—22no—
459C2×C4×D47—22no—
460C2×C4×D47—22no—
461C2×C4×D47—416no—
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×D47—41no—
469C2×C4×D47—41no—
470C2×C4×D47—41no—
471C2×C4×D47C22×C414yes—
472C2×C4×D47C22×C414yes—
473C2×C4×D47C22×C414yescomplemented
474C2×C4×D47#4114yes—
475C2×Dic94—41no—
476C2×Dic94—41no—
477C2×Dic94C22×C414yescomplemented
478C4⋊C4×C47—22no—
479C4⋊C4×C47—22no—
480C4⋊C4×C47—41no—
481C4⋊C4×C47—41no—
482C4⋊C4×C47C22×C414yescomplemented
483C4⋊C4×C47C22×C414yescomplemented
484C22⋊C4×C47—22no—
485C22⋊C4×C47—22no—
486C22⋊C4×C47C22×C414yes—
487C22⋊C4×C47C22×C414yes—
488C42×C47—22no—
489C42×C47—22no—
490C42×C47—41no—
491C42×C47—41no—
492C42×C47C22×C414yescomplemented
493C42×C47C22×C414yescomplemented
494C22⋊Dic47—22no—
495C22⋊Dic47C22×C414yes—
496C22⋊Dic47#4114yes—
497(C2×D47)⋊C4—22no—
498(C2×D47)⋊C4—22no—
499(C2×D47)⋊C4—22no—
500(C2×D47)⋊C4—22no—
501(C2×D47)⋊C4—22no—
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—41no—
509(C2×D47)⋊C4—41no—
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)⋊C4C22×C414yes—
517(C2×D47)⋊C4C22×C414yes—
518(C2×D47)⋊C4C22×C414yes—
519(C2×D47)⋊C4C22×C414yes—
520(C2×D47)⋊C4C22×C414yescomplemented
521(C2×D47)⋊C4C22×C414yescomplemented
522(C2×D47)⋊C4C22×C414yescomplemented
523(C2×D47)⋊C4#4114yes—
524C4⋊Dic47—22no—
525C4⋊Dic47—22no—
526C4⋊Dic47C22×C414yescomplemented
527Dic47⋊C4—22no—
528Dic47⋊C4—22no—
529Dic47⋊C4—22no—
530Dic47⋊C4—22no—
531Dic47⋊C4—41no—
532Dic47⋊C4—41no—
533Dic47⋊C4—41no—
534Dic47⋊C4—41no—
535Dic47⋊C4C22×C414yescomplemented
536Dic47⋊C4C22×C414yescomplemented
537Dic47⋊C4C22×C414yescomplemented
538Dic47⋊C4C22×C414yescomplemented
539Dic47⋊C4C22×C414yescomplemented
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—22no—
559C4×Dic47—41no—
560C4×Dic47—41no—
561C4×Dic47—41no—
562C4×Dic47—41no—
563C4×Dic47—41no—
564C4×Dic47—41no—
565C4×Dic47—41no—
566C4×Dic47C22×C414yescomplemented
567C23×C47—21no—
568C23×C47—21no—
569C23×C47—21no—
570C23×C47—21no—
571C23×C47C23×C412yes—
572C23×C47C2×#4112yes—
573C23×C47C2×#4112yes—
574C23×C47C2511yescharacteristic
575C22×D47—21no—
576C22×D47—21no—
577C22×D47—21no—
578C22×D47—21no—
579C22×D47—28no—
580C22×D47—21no—
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×D47—21no—
592C22×D47—28no—
593C22×D47—44no—
594C22×D47—44no—
595C22×D47—44no—
596C22×D47—44no—
597C22×D47—44no—
598C22×D47C23×C412yes—
599C22×D47C23×C412yes—
600C22×D47C23×C412yes—
601C22×D47C2×#4112yes—
602C22×D47C2×#4112yes—
603C2×C4×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—21no—
637C2×C4×C47—21no—
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×C47C23×C412yes—
646C2×C4×C47C2×#4112yes—
647C2×C4×C47C2×#4112yes—
648C22⋊D47—28no—
649C2×Dic47—21no—
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—28no—
668C2×Dic47—21no—
669C2×Dic47—21no—
670C2×Dic47—21no—
671C2×Dic47—21no—
672C2×Dic47—21no—
673C2×Dic47—21no—
674C2×Dic47—21no—
675C2×Dic47—21no—
676C2×Dic47—21no—
677C2×Dic47—44no—
678C2×Dic47—44no—
679C2×Dic47C23×C412yes—
680C2×Dic47C23×C412yes—
681C2×Dic47C23×C412yes—
682C2×Dic47C23×C412yes—
683C2×Dic47C23×C412yes—
684C2×Dic47C2×#4112yes—
685C2×Dic47C2×#4112yes—
686C2×Dic47C2×#4112yes—
687C2×Dic47C2×#4112yes—
688C2×Dic47C2×#4112yes—
689C2×Dic47C2×#4112yes—
690C2×Dic47H(5,𝔽2)12yes—
691D188—28no—
692D188—44no—
693C4×D47—28no—
694C4×D47—28no—
695C4×D47—44no—
696C4×D47—44no—
697C4×D47—44no—
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×C47C4×#4114yes—
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—22no—
730C2×D47—22no—
731C2×D47—22no—
732C2×D47—416no—
733C2×D47—41no—
734C2×D47—41no—
735C2×D47—41no—
736C2×D47—41no—
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—22no—
750C4×C47—41no—
751C4×C47—41no—
752C4×C47—41no—
753C4×C47—41no—
754C4×C47—41no—
755C4×C47—41no—
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#2353—471no—
781#2343—471no—
782#2343D4711yescharacteristic, complemented
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×C47C2×C4×#4111yescharacteristic
802C2×C47C2×C4×#4111yescharacteristic
803C2×C47C4×H(5,𝔽2)11yescharacteristic
804C2×C47C2×#55111yescharacteristic
805C2×C47#347511yescharacteristic
806C2×C47#347511yescharacteristic
807C2×C47#348111yescharacteristic
808D47—24no—
809D47—42no—
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×D4—471no—
830C2×#117—471no—
831C2×#117—471no—
832C2×#117—471no—
833C2×#117C2×D4711yescharacteristic
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#388—471no—
864#388—471no—
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, complemented
878#387C2×D4711yescharacteristic, complemented
879#387C2×D4711yescharacteristic, complemented
880#387C2×D4711yescharacteristic, complemented
881#386—471no—
882#386—471no—
883#386—471no—
884#386—471no—
885#386—471no—
886#386—471no—
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#385C2×D4711yescharacteristic
896#385C2×D4711yescharacteristic
897#383—471no—
898#383C2×D4711yescharacteristic, complemented
899#382C2×D4711yescharacteristic, complemented
900#381—471no—
901#381—471no—
902#381C2×D4711yescharacteristic
903#380—471no—
904#380—471no—
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⋊C4C2×D4711yescharacteristic, complemented
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⋊C4—471no—
954C4×C22⋊C4C2×D4711yescharacteristic
955C4×C22⋊C4C2×D4711yescharacteristic
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×D4—471no—
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—471no—
987C23×C4—944no—
988C23×C4—944no—
989C23×C4—1882no—
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—478no—
1005C4×D4—944no—
1006C4×D4—944no—
1007C4×D4—944no—
1008C4×D4—944no—
1009C4×D4—1882no—
1010#117—478no—
1011#117—944no—
1012#117—944no—
1013#117C4×D4718yescomplemented
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⋊C4C22×D4711yescharacteristic
1031C2×C4⋊C4C22×D4711yescharacteristic
1032C2×C4⋊C4C22×D4711yescharacteristic
1033C2×C4⋊C4C22×D4711yescharacteristic
1034C2×C4⋊C4C22×D4711yescharacteristic
1035C2×C4⋊C4C22×D4711yescharacteristic
1036C2×C22⋊C4—471no—
1037C2×C22⋊C4—471no—
1038C2×C22⋊C4—478no—
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—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—471no—
1065C2×C22⋊C4—471no—
1066C2×C22⋊C4—471no—
1067C2×C22⋊C4—471no—
1068C2×C22⋊C4—944no—
1069C2×C22⋊C4—944no—
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—944no—
1102C2×C42—944no—
1103C2×C42—1882no—
1104C2×C42—1882no—
1105C2×C42—1882no—
1106C2×C42C22×D4711yescharacteristic
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#95C22×D4711yescharacteristic
1141#95C22×D4711yescharacteristic
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—471no—
1159C24—474no—
1160C24—942no—
1161C24—942no—
1162C24—942no—
1163C24—942no—
1164C24—1881no—
1165C24—1881no—
1166C24C23×D4711yescharacteristic
1167C2×Q8—474no—
1168C2×Q8—1881no—
1169C2×Q8—1881no—
1170C2×D4—474no—
1171C2×D4—474no—
1172C2×D4—474no—
1173C2×D4—942no—
1174C2×D4—942no—
1175C2×D4—942no—
1176C2×D4—942no—
1177C2×D4—1881no—
1178C2×D4—1881no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—41no—
1186C22×C4—41no—
1187C22×C4—471no—
1188C22×C4—474no—
1189C22×C4—471no—
1190C22×C4—471no—
1191C22×C4—471no—
1192C22×C4—471no—
1193C22×C4—471no—
1194C22×C4—471no—
1195C22×C4—471no—
1196C22×C4—471no—
1197C22×C4—471no—
1198C22×C4—474no—
1199C22×C4—474no—
1200C22×C4—474no—
1201C22×C4—474no—
1202C22×C4—474no—
1203C22×C4—471no—
1204C22×C4—471no—
1205C22×C4—471no—
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—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—1881no—
1231C22×C4—1881no—
1232C22×C4—1881no—
1233C22×C4—1881no—
1234C22×C4—1881no—
1235C22×C4—1881no—
1236C22×C4—1881no—
1237C22×C4—1881no—
1238C22×C4—1881no—
1239C22×C4—18816no—
1240C22×C4—1881no—
1241C22×C4—1881no—
1242C22×C4—1881no—
1243C22×C4C2×C4×D4714yes—
1244C22×C4C23×D4711yescharacteristic
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—22no—
1259C4⋊C4—22no—
1260C4⋊C4—41no—
1261C4⋊C4—41no—
1262C4⋊C4—474no—
1263C4⋊C4—474no—
1264C4⋊C4—474no—
1265C4⋊C4—474no—
1266C4⋊C4—474no—
1267C4⋊C4—474no—
1268C4⋊C4—942no—
1269C4⋊C4—942no—
1270C4⋊C4—942no—
1271C4⋊C4—942no—
1272C4⋊C4—942no—
1273C4⋊C4—942no—
1274C4⋊C4—1881no—
1275C4⋊C4—1881no—
1276C4⋊C4—1881no—
1277C4⋊C4—1881no—
1278C4⋊C4C2×C4×D4714yescomplemented
1279C4⋊C4C2×C4×D4714yescomplemented
1280C22⋊C4—22no—
1281C22⋊C4—22no—
1282C22⋊C4—474no—
1283C22⋊C4—474no—
1284C22⋊C4—474no—
1285C22⋊C4—474no—
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—942no—
1297C22⋊C4—942no—
1298C22⋊C4—942no—
1299C22⋊C4—942no—
1300C22⋊C4—942no—
1301C22⋊C4—942no—
1302C22⋊C4—942no—
1303C22⋊C4—942no—
1304C22⋊C4—942no—
1305C22⋊C4—942no—
1306C22⋊C4—942no—
1307C22⋊C4—942no—
1308C22⋊C4—1881no—
1309C22⋊C4—1881no—
1310C22⋊C4—1881no—
1311C22⋊C4—1881no—
1312C22⋊C4C2×C4×D4714yes—
1313C22⋊C4C2×C4×D4714yes—
1314C42—22no—
1315C42—22no—
1316C42—41no—
1317C42—41no—
1318C42—474no—
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—942no—
1333C42—942no—
1334C42—942no—
1335C42—942no—
1336C42—942no—
1337C42—942no—
1338C42—1881no—
1339C42—1881no—
1340C42—1881no—
1341C42—1881no—
1342C42—1881no—
1343C42—1881no—
1344C42—1881no—
1345C42C2×C4×D4714yescomplemented
1346C42C2×C4×D4714yescomplemented
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—472no—
1352C23—472no—
1353C23—472no—
1354C23—472no—
1355C23—472no—
1356C23—948no—
1357C23—941no—
1358C23—941no—
1359C23—941no—
1360C23—941no—
1361C23—948no—
1362C23—941no—
1363C23—941no—
1364C23—941no—
1365C23—941no—
1366C23—941no—
1367C23—941no—
1368C23—941no—
1369C23—941no—
1370C23—941no—
1371C23—941no—
1372C23—941no—
1373C23—941no—
1374C23—1884no—
1375C23—1884no—
1376C23—1884no—
1377C23—1884no—
1378C23—1884no—
1379C23C22×C4×D4712yes—
1380C23#41×D4712yes—
1381C23#41×D4712yes—
1382C23C24×D4711yescharacteristic
1383Q8—1884no—
1384D4—948no—
1385D4—948no—
1386D4—1884no—
1387C2×C4—28no—
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—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—44no—
1423C2×C4—44no—
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—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—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—1884no—
1467C2×C4—1884no—
1468C2×C4—1884no—
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×C4C22×C4×D4712yes—
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—474no—
1492C22—942no—
1493C22—942no—
1494C22—942no—
1495C22—942no—
1496C22—942no—
1497C22—942no—
1498C22—942no—
1499C22—942no—
1500C22—942no—
1501C22—942no—
1502C22—942no—
1503C22—942no—
1504C22—18816no—
1505C22—1881no—
1506C22—1881no—
1507C22—1881no—
1508C22—1881no—
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#1568996011yescharacteristic
1521C4—22no—
1522C4—22no—
1523C4—22no—
1524C4—22no—
1525C4—22no—
1526C4—22no—
1527C4—22no—
1528C4—22no—
1529C4—41no—
1530C4—41no—
1531C4—41no—
1532C4—41no—
1533C4—41no—
1534C4—41no—
1535C4—474no—
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—944no—
1550C2—1882no—
1551C2—1882no—
1552C2C4×#41×D4711yescharacteristic
1553C2C2×#1568959111yescharacteristic
1554C2#2025659411yescharacteristic
1555C2#551×D4711yescharacteristic
1556C2#2025694111yescharacteristic
1557C2#2025695311yescharacteristic
1558C2#2025699111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutatorC22×C47C24×C4
FittingC47×#2343C2
socle, cosocleC23×C47C25
prime radicalC2×#13093994C22
hypercenter#2343D47
hypocenterC47C4×#551
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2343

Complements

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

NH ≅ G/Ntype
2. #20246520C2semidirect
3. #20246504C2semidirect
4. #20246501C2semidirect
5. #20246498C2semidirect
6. #20246469C2semidirect
7. #20246465C2semidirect
8. #20246376C2semidirect
9. #20246373C2semidirect
11. #20246322C2semidirect
12. #20246321C2semidirect
13. #20246241C2semidirect
14. #20246231C2semidirect
15. #20246230C2semidirect
16. #20245938C2semidirect
17. #20245936C2semidirect
18. #20245927C2semidirect
19. #20245922C2semidirect
20. #20245920C2semidirect
21. #20245909C2semidirect
22. #20245909C2semidirect
23. #20245905C2semidirect
25. C4×#13093986C2semidirect
26. C4×(C22⋊D47)⋊C4C2semidirect
27. #117×Dic47C2semidirect
28. #20245727C2semidirect
29. C2×#15688970C2semidirect
30. C4×C22⋊C4×D47C2semidirect
31. C47×#2343C2semidirect
33. #15689797C4semidirect
43. C2×#13093989C22semidirect
62. C2×C42×D47C22semidirect
63. #15689028C22semidirect
64. #15689027C22semidirect
65. #15689027C22semidirect
67. #15689020C22semidirect
68. #15689018C22semidirect
71. #15689015C22semidirect
74. #15689014C22semidirect
81. #15689012C22semidirect
82. #15689012C22semidirect
83. #15689012C22semidirect
84. #15689012C22semidirect
85. #15689010C22semidirect
86. #15689008C22semidirect
87. #15689008C22semidirect
88. #15689007C22semidirect
89. #15689005C22semidirect
90. #15689005C22semidirect
91. #15689005C22semidirect
92. #15689005C22semidirect
93. #15689005C22semidirect
94. #15689004C22semidirect
95. #15689004C22semidirect
96. #15689004C22semidirect
105. #15688997C22semidirect
111. #15688990C22semidirect
113. #15688985C22semidirect
117. C4⋊C4×Dic47C22semidirect
118. C4⋊C4×Dic47C22semidirect
119. C4⋊C4×Dic47C22semidirect
120. C4⋊C4×Dic47C22semidirect
121. C4⋊C4×Dic47C22semidirect
122. C4⋊C4×Dic47C22semidirect
123. C4×Dic47⋊C4C22semidirect
124. #15688974C22semidirect
125. #15688974C22semidirect
126. #15688974C22semidirect
127. #15688974C22semidirect
128. #15688974C22semidirect
129. #15688974C22semidirect
130. #15688974C22semidirect
131. #15688974C22semidirect
141. C4×(C2×D47)⋊C4C22semidirect
142. C4×(C2×D47)⋊C4C22semidirect
159. #15688970C22semidirect
160. #15688970C22semidirect
161. #15688970C22semidirect
162. #15688970C22semidirect
163. #15688970C22semidirect
164. #15688969C22semidirect
165. #15688969C22semidirect
166. #15688969C22semidirect
170. C42×Dic47C22semidirect
171. C42×Dic47C22semidirect
172. C42×Dic47C22semidirect
174. C47×#387C22semidirect
175. C47×#387C22semidirect
176. C47×#387C22semidirect
177. C47×#387C22semidirect
180. C47×#383C22semidirect
181. C47×#382C22semidirect
183. C4×C4⋊C4×C47C22semidirect
186. C47×#376C22semidirect
210. #13094019C2×C4semidirect
211. #13094018C2×C4semidirect
212. #13094012C2×C4semidirect
213. #13094009C2×C4semidirect
214. #13094009C2×C4semidirect
215. #13094007C2×C4semidirect
216. #13094002C2×C4semidirect
217. #13094001C2×C4semidirect
220. C4×D188C2×C4semidirect
226. (C22⋊D47)⋊C4C2×C4semidirect
229. #13093981C2×C4semidirect
250. C2×(C2×D47)⋊C4C2×C4semidirect
279. C22⋊C4×D47C2×C4semidirect
343. #117×C47C2×C4semidirect
473. C2×C4×D47C22×C4semidirect
477. C2×Dic94C22×C4semidirect
482. C4⋊C4×C47C22×C4semidirect
483. C4⋊C4×C47C22×C4semidirect
492. C42×C47C22×C4semidirect
493. C42×C47C22×C4semidirect
520. (C2×D47)⋊C4C22×C4semidirect
521. (C2×D47)⋊C4C22×C4semidirect
522. (C2×D47)⋊C4C22×C4semidirect
526. C4⋊Dic47C22×C4semidirect
535. Dic47⋊C4C22×C4semidirect
536. Dic47⋊C4C22×C4semidirect
537. Dic47⋊C4C22×C4semidirect
538. Dic47⋊C4C22×C4semidirect
539. Dic47⋊C4C22×C4semidirect
566. C4×Dic47C22×C4semidirect
768. Dic47#551semidirect
782. #2343D47semidirect
877. #387C2×D47semidirect
878. #387C2×D47semidirect
879. #387C2×D47semidirect
880. #387C2×D47semidirect
898. #383C2×D47semidirect
899. #382C2×D47semidirect
921. C4×C4⋊C4C2×D47semidirect
959. #376C2×D47semidirect
967. C47C4×#551semidirect
1013. #117C4×D47semidirect
1278. C4⋊C4C2×C4×D47semidirect
1279. C4⋊C4C2×C4×D47semidirect
1345. C42C2×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×#156897972
#202465202
#202465042
#202465012
#202464982
#202464692
#202464652
#202463762
#202463732
#202463642
#202463222
#202463212
#202462412
#202462312
#202462302
#202459382
#202459362
#202459272
#202459222
#202459202
#202459092
#202459052
#202458892
C4×#130939862
C4×(C22⋊D47)⋊C42
#117×Dic472
#202457272
C2×#156889702
C4×C22⋊C4×D472
C47×#23432
C4×#55147