Finite Group Databasebeta

← #14915086

Subgroups — #14915086

Order 2816.

2634 conjugacy classes of subgroups.

The subgroup lattice has 1608 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623209C211yesmaximal, characteristic
2#13071746C211yesmaximal, characteristic, complemented
3#13071744C211yesmaximal, characteristic, complemented
4#13071743C211yesmaximal, characteristic, complemented
5#13071738C211yesmaximal, characteristic, complemented
6#13071736C211yesmaximal, characteristic, complemented
7#13071736C211yesmaximal, characteristic, complemented
8#13071727C211yesmaximal, characteristic, complemented
9#13071692C211yesmaximal, characteristic, complemented
10#13071691C211yesmaximal, characteristic, complemented
11#13071667C211yesmaximal, characteristic, complemented
12#13071664C211yesmaximal, characteristic, complemented
13#13071657C211yesmaximal, characteristic, complemented
14#13071649C211yesmaximal, characteristic, complemented
15#13071610C211yesmaximal, characteristic, complemented
16#13071609C211yesmaximal, characteristic, complemented
17#13071348C211yesmaximal, characteristic, complemented
18#13071320C211yesmaximal, characteristic, complemented
19#13071278C211yesmaximal, characteristic, complemented
20#13071272C211yesmaximal, characteristic, complemented
21#13071210C211yesmaximal, characteristic, complemented
22#13071154C211yesmaximal, characteristic, complemented
23C4×#66937C211yesmaximal, characteristic, complemented
24#13071121C211yesmaximal, characteristic, complemented
25C4×#66935C211yesmaximal, characteristic, complemented
26#13071060C211yesmaximal, characteristic, complemented
27#13071058C211yesmaximal, characteristic, complemented
28#13070978C211yesmaximal, characteristic, complemented
29#13070975C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D11C211yesmaximal, characteristic, complemented
31C11×#2372C211yesmaximal, characteristic, complemented
32C23×C4×D11C2211yescharacteristic
33C2×C11×#124C2211yescharacteristic
34C2×#67000C2211yescharacteristic
35C2×#66999C2211yescharacteristic
36C2×Q8×Dic11C2211yescharacteristic, complemented
37C2×#66992C2211yescharacteristic
38C2×#66990C2211yescharacteristic
39C2×D4×Dic11C2211yescharacteristic
40C2×C4×C22⋊D11C2211yescharacteristic
41C2×C4×C22⋊D11C2211yescharacteristic
42C2×C4×C22⋊D11C2211yescharacteristic, complemented
43#10623209C4116yescomplemented
44C2×#66939C2211yescharacteristic
45C2×#66937C2211yescharacteristic
46C2×#66937C2211yescharacteristic
47C2×#66936C2211yescharacteristic
48C2×#66935C2211yescharacteristic
49C2×(C22⋊D11)⋊C4C2211yescharacteristic
50C2×(C22⋊D11)⋊C4C2211yescharacteristic
51C2×(C22⋊D11)⋊C4C2211yescharacteristic
52C2×C22⋊C4×D11C2211yescharacteristic
53C2×C22⋊C4×D11C2211yescharacteristic
54C2×#66932C2211yescharacteristic
55C2×#66930C2211yescharacteristic, complemented
56C2×#66929C2211yescharacteristic
57C2×C4×D44C2211yescharacteristic
58C2×C4×D44C2211yescharacteristic
59C2×C4×D44C2211yescharacteristic
60C2×C4×D44C2211yescharacteristic
61C2×#66925C2211yescharacteristic, complemented
62C2×C42×D11C2211yescharacteristic
63C2×C42×D11C2211yescharacteristic
64C11×#391C2211yescharacteristic, complemented
65C11×#391C2211yescharacteristic, complemented
66C11×#388C2211yescharacteristic
67C11×#388C2211yescharacteristic
68C11×#388C2211yescharacteristic, complemented
69C11×#388C2211yescharacteristic, complemented
70C11×#386C2211yescharacteristic
71C11×#386C2211yescharacteristic
72C4×C11×C22⋊C4C2211yescharacteristic
73C4×C11×C22⋊C4C2211yescharacteristic
74C4×C11×C22⋊C4C2211yescharacteristic, complemented
75C4×C11×C22⋊C4C2211yescharacteristic, complemented
76C11×#376C2211yescharacteristic, complemented
77C11×#376C2211yescharacteristic, complemented
78#10622843C2211yescharacteristic, complemented
79#10622834C2211yescharacteristic
80#10622826C2211yescharacteristic
81#10622823C2211yescharacteristic
82C4×C22⋊Dic11C2211yescharacteristic
83C2×C11⋊#95C2211yescharacteristic, complemented
84#10622603C2211yescharacteristic
85#10622603C2211yescharacteristic, complemented
86#10622602C2211yescharacteristic
87#10622601C2211yescharacteristic
88#10622600C2211yescharacteristic
89C4⋊C4×Dic11C2211yescharacteristic, complemented
90C4⋊C4×Dic11C2211yescharacteristic, complemented
91#10622585C2211yescharacteristic, complemented
92#10622571C2211yescharacteristic
93#10622571C2211yescharacteristic, complemented
94#10622570C2211yescharacteristic
95#10622570C2211yescharacteristic
96#10622570C2211yescharacteristic, complemented
97#10622569C2211yescharacteristic
98#10622569C2211yescharacteristic
99#10622569C2211yescharacteristic
100#10622569C2211yescharacteristic
101#10622569C2211yescharacteristic, complemented
102#10622568C2211yescharacteristic
103#10622568C2211yescharacteristic
104#10622564C2211yescharacteristic
105#10622564C2211yescharacteristic
106#10622564C2211yescharacteristic, complemented
107#10622564C2211yescharacteristic, complemented
108#10622563C2211yescharacteristic
109#10622563C2211yescharacteristic, complemented
110#10622558C2211yescharacteristic
111#10622557C2211yescharacteristic
112#10622557C2211yescharacteristic
113#10622557C2211yescharacteristic
114C22⋊C4×Dic11C2211yescharacteristic
115C22⋊C4×Dic11C2211yescharacteristic
116C22⋊C4×Dic11C2211yescharacteristic
117C22⋊C4×Dic11C2211yescharacteristic, complemented
118C22⋊C4×Dic11C2211yescharacteristic, complemented
119C22⋊C4×Dic11C2211yescharacteristic, complemented
120#10622553C2211yescharacteristic
121#10622553C2211yescharacteristic
122C4×(C2×D11)⋊C4C2211yescharacteristic
123C4×(C2×D11)⋊C4C2211yescharacteristic
124C4×(C2×D11)⋊C4C2211yescharacteristic
125C4×(C2×D11)⋊C4C2211yescharacteristic
126C4×(C2×D11)⋊C4C2211yescharacteristic
127C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
128C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
129C4×C4⋊Dic11C2211yescharacteristic, complemented
130C4×C4⋊Dic11C2211yescharacteristic, complemented
131C4×C4⋊Dic11C2211yescharacteristic, complemented
132C4×C4⋊Dic11C2211yescharacteristic, complemented
133#10622546C2211yescharacteristic, complemented
134#10622546C2211yescharacteristic, complemented
135#10622546C2211yescharacteristic, complemented
136C4×Dic11⋊C4C2211yescharacteristic, complemented
137C4×Dic11⋊C4C2211yescharacteristic, complemented
138C4×Dic11⋊C4C2211yescharacteristic, complemented
139#10622541C2211yescharacteristic, complemented
140#10622283C2211yescharacteristic
141#10622283C2211yescharacteristic
142#10622283C2211yescharacteristic
143#10622283C2211yescharacteristic, complemented
144#10622283C2211yescharacteristic, complemented
145#10622282C2211yescharacteristic
146#10622282C2211yescharacteristic
147#10622282C2211yescharacteristic, complemented
148#10622281C2211yescharacteristic
149#10622281C2211yescharacteristic
150#10622281C2211yescharacteristic
151#10622281C2211yescharacteristic
152#10622281C2211yescharacteristic
153#10622281C2211yescharacteristic, complemented
154#10622280C2211yescharacteristic
155#10622279C2211yescharacteristic
156#10622279C2211yescharacteristic
157#10622279C2211yescharacteristic
158#10622279C2211yescharacteristic
159#10622279C2211yescharacteristic
160#10622279C2211yescharacteristic
161#10622279C2211yescharacteristic
162#10622279C2211yescharacteristic, complemented
163#10622279C2211yescharacteristic, complemented
164#10622279C2211yescharacteristic, complemented
165#10622278C2211yescharacteristic
166#10622278C2211yescharacteristic
167#10622278C2211yescharacteristic
168#10622278C2211yescharacteristic
169D11×#95C2211yescharacteristic
170D11×#95C2211yescharacteristic
171D11×#95C2211yescharacteristic, complemented
172#10622268C2211yescharacteristic, complemented
173#10622268C2211yescharacteristic, complemented
174#10622268C2211yescharacteristic, complemented
175#10622267C2211yescharacteristic, complemented
176#10622266C2211yescharacteristic, complemented
177#10622266C2211yescharacteristic, complemented
178#10622266C2211yescharacteristic, complemented
179#10622265C2211yescharacteristic, complemented
180#10622265C2211yescharacteristic, complemented
181#10622262C2211yescharacteristic, complemented
182#10622262C2211yescharacteristic, complemented
183#10622262C2211yescharacteristic, complemented
184#10622261C2211yescharacteristic, complemented
185#10622261C2211yescharacteristic, complemented
186#10622260C2211yescharacteristic, complemented
187#10622260C2211yescharacteristic, complemented
188C24×D11C2311yescharacteristic
189C22×Q8×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C22×C22⋊D11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C23×Dic11C2311yescharacteristic
198C23×Dic11C2311yescharacteristic
199C23×Dic11C2311yescharacteristic
200C22×D44C2311yescharacteristic
201C22×D44C2311yescharacteristic
202C22×C4×D11—24no—
203C22×C4×D11—42no—
204C22×C4×D11—42no—
205C22×C4×D11C2311yescharacteristic
206C22×C4×D11C2311yescharacteristic
207C22×C4×D11C2311yescharacteristic
208C22×C4×D11C2311yescharacteristic
209C22×C4×D11C2311yescharacteristic
210C22×C4×D11C2311yescharacteristic
211C22×C4×D11C2311yescharacteristic
212C22×C4×D11C2311yescharacteristic
213C22×C4×D11C2311yescharacteristic
214C22×C4×D11C2311yescharacteristic
215C22×C4×D11C2311yescharacteristic
216C11×#124C2×C418yescomplemented
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C4⋊C4C2311yescharacteristic
219C2×C11×C22⋊C4C2311yescharacteristic
220C2×C11×C22⋊C4C2311yescharacteristic
221C2×C11×C22⋊C4C2311yescharacteristic
222C2×C11×C22⋊C4C2311yescharacteristic
223C2×C11×C22⋊C4C2311yescharacteristic
224C2×C11×C22⋊C4C2311yescharacteristic
225C2×C11×C22⋊C4C2311yescharacteristic
226C2×C11×C22⋊C4C2311yescharacteristic
227C2×C11×C22⋊C4C2311yescharacteristic
228C2×C11×C22⋊C4C2311yescharacteristic
229C2×C42×C11C2311yescharacteristic
230C2×C42×C11C2311yescharacteristic
231C2×C42×C11C2311yescharacteristic
232C2×C42×C11C2311yescharacteristic
233C2×C42×C11C2311yescharacteristic
234C2×C42×C11C2311yescharacteristic
235C2×C42×C11C2311yescharacteristic
236C2×C22⋊Dic11C2311yescharacteristic
237C2×C22⋊Dic11C2311yescharacteristic
238C2×C22⋊Dic11C2311yescharacteristic
239C2×C22⋊Dic11C2311yescharacteristic
240C2×C22⋊Dic11C2311yescharacteristic
241C2×C22⋊Dic11C2311yescharacteristic
242C2×C22⋊Dic11C2311yescharacteristic
243C2×C22⋊Dic11C2311yescharacteristic
244#67000C2×C418yescomplemented
245#66999C2×C418yescomplemented
246Q8×Dic11—42no—
247#66992C2×C418yescomplemented
248#66990C2×C418yescomplemented
249D4×Dic11—42no—
250C4×C22⋊D11—24no—
251C4×C22⋊D11—42no—
252C4×C22⋊D11—42no—
253C2×(C2×D11)⋊C4C2311yescharacteristic
254C2×(C2×D11)⋊C4C2311yescharacteristic
255C2×(C2×D11)⋊C4C2311yescharacteristic
256C2×(C2×D11)⋊C4C2311yescharacteristic
257C2×(C2×D11)⋊C4C2311yescharacteristic
258C2×(C2×D11)⋊C4C2311yescharacteristic
259C2×(C2×D11)⋊C4C2311yescharacteristic
260C2×(C2×D11)⋊C4C2311yescharacteristic
261C2×(C2×D11)⋊C4C2311yescharacteristic
262C2×(C2×D11)⋊C4C2311yescharacteristic
263C2×(C2×D11)⋊C4C2311yescharacteristic
264C2×(C2×D11)⋊C4C2311yescharacteristic
265C2×(C2×D11)⋊C4C2311yescharacteristic
266C2×(C2×D11)⋊C4C2311yescharacteristic
267C2×(C2×D11)⋊C4C2311yescharacteristic
268C2×(C2×D11)⋊C4C2311yescharacteristic
269C2×(C2×D11)⋊C4C2311yescharacteristic
270C2×(C2×D11)⋊C4C2311yescharacteristic
271C2×(C2×D11)⋊C4C2311yescharacteristic
272C2×(C2×D11)⋊C4C2311yescharacteristic
273C2×(C2×D11)⋊C4C2311yescharacteristic
274C2×(C2×D11)⋊C4C2311yescharacteristic
275C2×(C2×D11)⋊C4C2311yescharacteristic
276C2×(C2×D11)⋊C4C2311yescharacteristic
277C2×C4⋊Dic11C2311yescharacteristic
278C2×C4⋊Dic11C2311yescharacteristic
279C2×C4⋊Dic11C2311yescharacteristic
280C2×C4⋊Dic11C2311yescharacteristic
281C2×C4⋊Dic11C2311yescharacteristic
282C2×C4⋊Dic11C2311yescharacteristic
283C2×C4⋊Dic11C2311yescharacteristic
284C2×C4⋊Dic11C2311yescharacteristic
285C2×Dic11⋊C4C2311yescharacteristic
286C2×Dic11⋊C4C2311yescharacteristic
287C2×Dic11⋊C4C2311yescharacteristic
288C2×Dic11⋊C4C2311yescharacteristic
289C2×Dic11⋊C4C2311yescharacteristic
290C2×Dic11⋊C4C2311yescharacteristic
291C2×Dic11⋊C4C2311yescharacteristic
292C2×Dic11⋊C4C2311yescharacteristic
293C2×Dic11⋊C4C2311yescharacteristic
294C2×Dic11⋊C4C2311yescharacteristic
295C2×Dic11⋊C4C2311yescharacteristic
296C2×Dic11⋊C4C2311yescharacteristic
297C2×C4×Dic11C2311yescharacteristic
298C2×C4×Dic11C2311yescharacteristic
299C2×C4×Dic11C2311yescharacteristic
300C2×C4×Dic11C2311yescharacteristic
301C2×C4×Dic11C2311yescharacteristic
302C2×C4×Dic11C2311yescharacteristic
303C2×C4×Dic11C2311yescharacteristic
304C2×C4×Dic11C2311yescharacteristic
305C2×C4×Dic11C2311yescharacteristic
306C2×C4×Dic11C2311yescharacteristic
307C2×C4×Dic11C2311yescharacteristic
308C2×C4×Dic11C2311yescharacteristic
309C2×C4×Dic11C2311yescharacteristic
310C2×C4×Dic11C2311yescharacteristic
311C2×C4×Dic11C2311yescharacteristic
312C2×C4×Dic11C2311yescharacteristic
313C2×C4×Dic11C2311yescharacteristic
314C2×C4×Dic11C2311yescharacteristic
315C2×C4×Dic11C2311yescharacteristic
316#66939C2×C418yescomplemented
317#66937C2×C418yescomplemented
318#66937C2×C418yescomplemented
319#66936C2×C418yescomplemented
320#66935C2×C418yescomplemented
321(C22⋊D11)⋊C4—24no—
322(C22⋊D11)⋊C4—42no—
323(C22⋊D11)⋊C4C2×C418yescomplemented
324C22⋊C4×D11—24no—
325C22⋊C4×D11C2×C418yescomplemented
326#66932C2×C418yescomplemented
327#66930—42no—
328#66929C2×C418yescomplemented
329C4×D44—24no—
330C4×D44—24no—
331C4×D44—42no—
332C4×D44C2×C418yescomplemented
333#66925—42no—
334C42×D11—42no—
335C42×D11—42no—
336C11×#95C2311yescharacteristic
337C11×#95C2311yescharacteristic
338C11×#95C2311yescharacteristic
339C11×#95C2311yescharacteristic
340C11×#95C2311yescharacteristic
341C11×#95C2311yescharacteristic
342C11×#95C2311yescharacteristic
343C11×#95C2311yescharacteristic
344C11×#95C2311yescharacteristic
345C11×#95C2311yescharacteristic
346C11×#95C2311yescharacteristic
347C11×#95C2311yescharacteristic
348C11⋊#95C2311yescharacteristic
349C11⋊#95C2311yescharacteristic
350C11⋊#95C2311yescharacteristic
351C11⋊#95C2311yescharacteristic
352C11⋊#95C2311yescharacteristic
353C11⋊#95C2311yescharacteristic
354C11⋊#95C2311yescharacteristic
355C11⋊#95C2311yescharacteristic
356C11⋊#95C2311yescharacteristic
357C11⋊#95C2311yescharacteristic
358C11⋊#95C2311yescharacteristic
359C11⋊#95C2311yescharacteristic
360C11⋊#95C2311yescharacteristic
361C11⋊#95C2311yescharacteristic
362C11⋊#95C2311yescharacteristic
363C11⋊#95C2311yescharacteristic
364C11⋊#95C2311yescharacteristic
365C11⋊#95C2311yescharacteristic
366C11⋊#95C2311yescharacteristic
367C11⋊#95C2311yescharacteristic
368C11⋊#95C2311yescharacteristic
369C11⋊#95C2311yescharacteristic
370C11⋊#95C2311yescharacteristic
371C11⋊#95C2311yescharacteristic
372C11⋊#95C2311yescharacteristic
373C11⋊#95C2311yescharacteristic
374C11⋊#95C2311yescharacteristic
375C11⋊#95C2311yescharacteristic
376#34277—111nomaximal, Sylow
377C24×C11C2411yescharacteristic
378C24×C11C2411yescharacteristic
379C23×D11—22no—
380C23×D11—22no—
381C23×D11—41no—
382C23×D11—41no—
383C23×D11—41no—
384C23×D11—41no—
385C23×D11C22×C414yes—
386C23×D11C2411yescharacteristic
387C23×D11C2411yescharacteristic
388C23×D11C2411yescharacteristic
389C2×Q8×C11—41no—
390C2×Q8×C11—41no—
391C2×Q8×C11C22×C414yescomplemented
392C2×D4×C11—41no—
393C2×D4×C11—41no—
394C2×D4×C11C22×C414yes—
395C22×C4×C11—22no—
396C22×C4×C11—22no—
397C22×C4×C11—22no—
398C22×C4×C11—41no—
399C22×C4×C11—41no—
400C22×C4×C11—41no—
401C22×C4×C11C2411yescharacteristic
402C22×C4×C11C2411yescharacteristic
403C22×C4×C11C2411yescharacteristic
404C22×C4×C11C2411yescharacteristic
405C22×C4×C11C2411yescharacteristic
406C22×C4×C11C2411yescharacteristic
407C22×C4×C11C2411yescharacteristic
408C22×C4×C11C2411yescharacteristic
409C22×C4×C11C2411yescharacteristic
410C22×C4×C11C2411yescharacteristic
411C22×C4×C11C2411yescharacteristic
412C22×C4×C11C2411yescharacteristic
413C22×C4×C11C2411yescharacteristic
414C2×C22⋊D11—22no—
415C2×C22⋊D11—22no—
416C2×C22⋊D11—41no—
417C2×C22⋊D11—41no—
418C2×C22⋊D11—41no—
419C2×C22⋊D11—41no—
420C2×C22⋊D11—41no—
421C2×C22⋊D11—41no—
422C2×C22⋊D11C22×C414yes—
423C2×C22⋊D11C22×C414yes—
424C2×C22⋊D11C22×C414yes—
425C2×C22⋊D11C22×C414yescomplemented
426C22×Dic11—22no—
427C22×Dic11—22no—
428C22×Dic11—22no—
429C22×Dic11—41no—
430C22×Dic11—41no—
431C22×Dic11—41no—
432C22×Dic11—41no—
433C22×Dic11—41no—
434C22×Dic11C22×C414yescomplemented
435C22×Dic11C2411yescharacteristic
436C22×Dic11C2411yescharacteristic
437C22×Dic11C2411yescharacteristic
438C22×Dic11C2411yescharacteristic
439C22×Dic11C2411yescharacteristic
440C22×Dic11C2411yescharacteristic
441C22×Dic11C2411yescharacteristic
442C22×Dic11C2411yescharacteristic
443C22×Dic11C2411yescharacteristic
444C22×Dic11C2411yescharacteristic
445C22×Dic11C2411yescharacteristic
446C22×Dic11C2411yescharacteristic
447C22×Dic11C2411yescharacteristic
448C2×D44—22no—
449C2×D44—22no—
450C2×D44—41no—
451C2×D44—41no—
452C2×D44C22×C414yes—
453C2×D44C22×C414yes—
454C2×C4×D11—22no—
455C2×C4×D11—22no—
456C2×C4×D11—22no—
457C2×C4×D11—22no—
458C2×C4×D11—22no—
459C2×C4×D11—22no—
460C2×C4×D11—22no—
461C2×C4×D11—22no—
462C2×C4×D11—22no—
463C2×C4×D11—22no—
464C2×C4×D11—41no—
465C2×C4×D11—41no—
466C2×C4×D11—41no—
467C2×C4×D11—41no—
468C2×C4×D11—41no—
469C2×C4×D11—41no—
470C2×C4×D11—41no—
471C2×C4×D11—41no—
472C2×C4×D11—41no—
473C2×C4×D11—41no—
474C2×C4×D11—41no—
475C2×C4×D11—41no—
476C2×C4×D11—41no—
477C2×C4×D11—41no—
478C2×C4×D11—41no—
479C2×C4×D11—41no—
480C2×C4×D11—41no—
481C2×C4×D11—41no—
482C2×C4×D11—416no—
483C2×C4×D11C22×C414yes—
484C2×C4×D11C22×C414yes—
485C2×C4×D11C22×C414yescomplemented
486C2×C4×D11#4114yes—
487C2×C4×D11#4114yes—
488C11×C4⋊C4—41no—
489C11×C4⋊C4—41no—
490C11×C22⋊C4—22no—
491C11×C22⋊C4—22no—
492C11×C22⋊C4—22no—
493C11×C22⋊C4—41no—
494C11×C22⋊C4—41no—
495C11×C22⋊C4—41no—
496C11×C22⋊C4C22×C414yes—
497C11×C22⋊C4C22×C414yes—
498C11×C22⋊C4C22×C414yescomplemented
499C11×C22⋊C4C22×C414yescomplemented
500C42×C11—22no—
501C42×C11—22no—
502C42×C11—22no—
503C42×C11—41no—
504C42×C11—41no—
505C42×C11—41no—
506C42×C11C22×C414yescomplemented
507C22⋊Dic11—22no—
508C22⋊Dic11—22no—
509C22⋊Dic11—22no—
510C22⋊Dic11—41no—
511C22⋊Dic11—41no—
512C22⋊Dic11—41no—
513C22⋊Dic11C22×C414yes—
514C22⋊Dic11C22×C414yes—
515(C2×D11)⋊C4—22no—
516(C2×D11)⋊C4—22no—
517(C2×D11)⋊C4—22no—
518(C2×D11)⋊C4—22no—
519(C2×D11)⋊C4—22no—
520(C2×D11)⋊C4—22no—
521(C2×D11)⋊C4—22no—
522(C2×D11)⋊C4—22no—
523(C2×D11)⋊C4—22no—
524(C2×D11)⋊C4—22no—
525(C2×D11)⋊C4—41no—
526(C2×D11)⋊C4—41no—
527(C2×D11)⋊C4—41no—
528(C2×D11)⋊C4—41no—
529(C2×D11)⋊C4—41no—
530(C2×D11)⋊C4—41no—
531(C2×D11)⋊C4C22×C414yes—
532(C2×D11)⋊C4C22×C414yes—
533(C2×D11)⋊C4C22×C414yes—
534(C2×D11)⋊C4C22×C414yes—
535(C2×D11)⋊C4C22×C414yes—
536(C2×D11)⋊C4C22×C414yes—
537(C2×D11)⋊C4C22×C414yescomplemented
538(C2×D11)⋊C4C22×C414yescomplemented
539C4⋊Dic11—22no—
540C4⋊Dic11—22no—
541C4⋊Dic11—22no—
542C4⋊Dic11—22no—
543C4⋊Dic11—41no—
544C4⋊Dic11—41no—
545C4⋊Dic11C22×C414yescomplemented
546C4⋊Dic11C22×C414yescomplemented
547Dic11⋊C4—22no—
548Dic11⋊C4—22no—
549Dic11⋊C4—22no—
550Dic11⋊C4—22no—
551Dic11⋊C4—41no—
552Dic11⋊C4—41no—
553Dic11⋊C4—41no—
554Dic11⋊C4—41no—
555Dic11⋊C4C22×C414yescomplemented
556Dic11⋊C4C22×C414yescomplemented
557Dic11⋊C4C22×C414yescomplemented
558Dic11⋊C4C22×C414yescomplemented
559C4×Dic11—22no—
560C4×Dic11—22no—
561C4×Dic11—22no—
562C4×Dic11—22no—
563C4×Dic11—22no—
564C4×Dic11—41no—
565C4×Dic11—41no—
566C4×Dic11—41no—
567C4×Dic11—41no—
568C4×Dic11—41no—
569C4×Dic11—41no—
570C4×Dic11—41no—
571C4×Dic11—41no—
572C4×Dic11—41no—
573C4×Dic11—41no—
574C4×Dic11—41no—
575C4×Dic11—41no—
576C4×Dic11—41no—
577C4×Dic11C22×C414yescomplemented
578C2×#538—111no—
579#2374—111no—
580#2374—111no—
581#2373—111no—
582#2373—111no—
583#2373—111no—
584#2373—111no—
585#2372—111no—
586#2372D1111yescharacteristic, complemented
587#2367—111no—
588#2367—111no—
589#2364—111no—
590#2364—111no—
591#2363—111no—
592#2363—111no—
593#2359—111no—
594#2359—111no—
595#2329—111no—
596#2325—111no—
597#2321—111no—
598#2321—111no—
599#2312—111no—
600C4×C22⋊Q8—111no—
601C4×#121—111no—
602C4×#120—111no—
603C4×#120—111no—
604#2290—111no—
605#2290—111no—
606#2275—111no—
607#2275—111no—
608C2×C4×C22⋊C4—111no—
609C23×C11—21no—
610C23×C11—21no—
611C23×C11—21no—
612C23×C11—21no—
613C23×C11—21no—
614C23×C11—21no—
615C23×C11—21no—
616C23×C11—21no—
617C23×C11—21no—
618C23×C11—21no—
619C23×C11—21no—
620C23×C11—21no—
621C23×C11C23×C412yes—
622C23×C11C23×C412yes—
623C23×C11C2511yescharacteristic
624C22×D11—21no—
625C22×D11—21no—
626C22×D11—21no—
627C22×D11—21no—
628C22×D11—21no—
629C22×D11—21no—
630C22×D11—21no—
631C22×D11—21no—
632C22×D11—21no—
633C22×D11—21no—
634C22×D11—21no—
635C22×D11—21no—
636C22×D11—21no—
637C22×D11—21no—
638C22×D11—21no—
639C22×D11—21no—
640C22×D11—28no—
641C22×D11—44no—
642C22×D11—44no—
643C22×D11—44no—
644C22×D11—44no—
645C22×D11—44no—
646C22×D11—44no—
647C22×D11C23×C412yes—
648C22×D11C23×C412yes—
649C22×D11C23×C412yes—
650C22×D11C2×#4112yes—
651C22×D11C2×#4112yes—
652Q8×C11—44no—
653D4×C11—44no—
654C2×C4×C11—21no—
655C2×C4×C11—21no—
656C2×C4×C11—21no—
657C2×C4×C11—21no—
658C2×C4×C11—21no—
659C2×C4×C11—21no—
660C2×C4×C11—21no—
661C2×C4×C11—21no—
662C2×C4×C11—21no—
663C2×C4×C11—21no—
664C2×C4×C11—21no—
665C2×C4×C11—21no—
666C2×C4×C11—21no—
667C2×C4×C11—21no—
668C2×C4×C11—21no—
669C2×C4×C11—21no—
670C2×C4×C11—21no—
671C2×C4×C11—21no—
672C2×C4×C11—21no—
673C2×C4×C11—21no—
674C2×C4×C11—21no—
675C2×C4×C11—21no—
676C2×C4×C11—21no—
677C2×C4×C11—21no—
678C2×C4×C11—21no—
679C2×C4×C11—21no—
680C2×C4×C11—21no—
681C2×C4×C11—21no—
682C2×C4×C11—21no—
683C2×C4×C11—21no—
684C2×C4×C11—21no—
685C2×C4×C11—44no—
686C2×C4×C11—82no—
687C2×C4×C11C23×C412yes—
688C2×C4×C11C23×C412yes—
689C2×C4×C11C23×C412yes—
690C2×C4×C11C23×C412yes—
691C2×C4×C11C23×C412yes—
692C2×C4×C11C2×#4112yes—
693C2×C4×C11C2×#4112yes—
694C2×C4×C11H(5,𝔽2)12yes—
695C22⋊D11—28no—
696C22⋊D11—44no—
697C22⋊D11—44no—
698C22⋊D11—44no—
699C2×Dic11—21no—
700C2×Dic11—21no—
701C2×Dic11—21no—
702C2×Dic11—21no—
703C2×Dic11—21no—
704C2×Dic11—21no—
705C2×Dic11—21no—
706C2×Dic11—21no—
707C2×Dic11—21no—
708C2×Dic11—21no—
709C2×Dic11—21no—
710C2×Dic11—21no—
711C2×Dic11—21no—
712C2×Dic11—21no—
713C2×Dic11—21no—
714C2×Dic11—21no—
715C2×Dic11—21no—
716C2×Dic11—21no—
717C2×Dic11—21no—
718C2×Dic11—21no—
719C2×Dic11—21no—
720C2×Dic11—21no—
721C2×Dic11—21no—
722C2×Dic11—21no—
723C2×Dic11—21no—
724C2×Dic11—21no—
725C2×Dic11—21no—
726C2×Dic11—21no—
727C2×Dic11—21no—
728C2×Dic11—21no—
729C2×Dic11—21no—
730C2×Dic11—44no—
731C2×Dic11—44no—
732C2×Dic11—82no—
733C2×Dic11C23×C412yes—
734C2×Dic11C23×C412yes—
735C2×Dic11C23×C412yes—
736C2×Dic11C23×C412yes—
737C2×Dic11C23×C412yes—
738C2×Dic11C2×#4112yes—
739C2×Dic11C2×#4112yes—
740C2×Dic11H(5,𝔽2)12yes—
741D44—28no—
742D44—44no—
743C4×D11—28no—
744C4×D11—44no—
745C4×D11—44no—
746C4×D11—44no—
747C4×D11—44no—
748C4×D11—44no—
749C4×D11—44no—
750C4×D11—44no—
751C4×D11—44no—
752C4×D11—82no—
753C4×D11—82no—
754C24×C4—111no—
755#538—1116no—
756C2×#126—111no—
757C2×#126—111no—
758C2×#124—111no—
759C2×#124C2×D1111yescharacteristic
760C2×#123—111no—
761C2×#123—111no—
762C2×C22⋊Q8—111no—
763C2×#121—111no—
764C2×#121—111no—
765C2×#121—111no—
766C2×#120—111no—
767C2×#120—111no—
768C2×C4×Q8—111no—
769C2×C4×D4—111no—
770C2×C4×D4—111no—
771C2×C4×D4—111no—
772C2×C4×D4—111no—
773C2×C4×D4—111no—
774C2×C4×D4—111no—
775C2×C4×D4—111no—
776C2×C4×D4—111no—
777C2×C4×D4—111no—
778C2×C4×D4—111no—
779C2×C4×D4—111no—
780C2×#117—111no—
781C2×#117—111no—
782C22×C22⋊C4—111no—
783C22×C22⋊C4—111no—
784C22×C42—111no—
785C22×C42—111no—
786#391—111no—
787#391C2×D1111yescharacteristic, complemented
788#391C2×D1111yescharacteristic, complemented
789#390—111no—
790#390—111no—
791#390—111no—
792#390—111no—
793#390—111no—
794#389—111no—
795#389—111no—
796#389—111no—
797#389—111no—
798#388—111no—
799#388—111no—
800#388—111no—
801#388—111no—
802#388—111no—
803#388—111no—
804#388—111no—
805#388—111no—
806#388—111no—
807#388—111no—
808#388—111no—
809#388—111no—
810#388—111no—
811#388—111no—
812#388—111no—
813#388—111no—
814#388—111no—
815#388—111no—
816#388—111no—
817#388—111no—
818#388C2×D1111yescharacteristic
819#388C2×D1111yescharacteristic
820#388C2×D1111yescharacteristic, complemented
821#388C2×D1111yescharacteristic, complemented
822#387—111no—
823#387—111no—
824#387—111no—
825#387—111no—
826#387—111no—
827#387—111no—
828#387—111no—
829#387—111no—
830#387—111no—
831#387—111no—
832#387—111no—
833#387—111no—
834#386—111no—
835#386—111no—
836#386—111no—
837#386—111no—
838#386—111no—
839#386—111no—
840#386—111no—
841#386—111no—
842#386—111no—
843#386—111no—
844#386—111no—
845#386—111no—
846#386C2×D1111yescharacteristic
847#386C2×D1111yescharacteristic
848#385—111no—
849#385—111no—
850#385—111no—
851#385—111no—
852#385—111no—
853#385—111no—
854#385—111no—
855#385—111no—
856#385—111no—
857#385—111no—
858#380—111no—
859#380—111no—
860#379—111no—
861#379—111no—
862C4×C4⋊C4—111no—
863C4×C4⋊C4—111no—
864C4×C4⋊C4—111no—
865C4×C4⋊C4—111no—
866C4×C4⋊C4—111no—
867C4×C4⋊C4—111no—
868C4×C4⋊C4—111no—
869C4×C4⋊C4—111no—
870C4×C4⋊C4—111no—
871C4×C4⋊C4—111no—
872C4×C4⋊C4—111no—
873C4×C4⋊C4—111no—
874C4×C22⋊C4—111no—
875C4×C22⋊C4—111no—
876C4×C22⋊C4—111no—
877C4×C22⋊C4—111no—
878C4×C22⋊C4—111no—
879C4×C22⋊C4—111no—
880C4×C22⋊C4—111no—
881C4×C22⋊C4—111no—
882C4×C22⋊C4—111no—
883C4×C22⋊C4—111no—
884C4×C22⋊C4—111no—
885C4×C22⋊C4—111no—
886C4×C22⋊C4—111no—
887C4×C22⋊C4—111no—
888C4×C22⋊C4—111no—
889C4×C22⋊C4—111no—
890C4×C22⋊C4—111no—
891C4×C22⋊C4—111no—
892C4×C22⋊C4—111no—
893C4×C22⋊C4—111no—
894C4×C22⋊C4—111no—
895C4×C22⋊C4—111no—
896C4×C22⋊C4—111no—
897C4×C22⋊C4—111no—
898C4×C22⋊C4C2×D1111yescharacteristic
899C4×C22⋊C4C2×D1111yescharacteristic
900C4×C22⋊C4C2×D1111yescharacteristic, complemented
901C4×C22⋊C4C2×D1111yescharacteristic, complemented
902#376—111no—
903#376—111no—
904#376C2×D1111yescharacteristic, complemented
905#376C2×D1111yescharacteristic, complemented
906C2×#95—111no—
907C2×#95—111no—
908C2×#95—111no—
909C2×#95—111no—
910C22×C11—22no—
911C22×C11—22no—
912C22×C11—22no—
913C22×C11—22no—
914C22×C11—22no—
915C22×C11—22no—
916C22×C11—41no—
917C22×C11—41no—
918C22×C11—41no—
919C22×C11—41no—
920C22×C11—41no—
921C22×C11—41no—
922C22×C11—41no—
923C22×C11—41no—
924C22×C11C24×C411yescharacteristic
925C22×C11C22×#4111yescharacteristic
926C22×C11C22×#4111yescharacteristic
927C22×C11C2×H(5,𝔽2)11yescharacteristic
928C22×C11C2×H(5,𝔽2)11yescharacteristic
929C22×C11#58511yescharacteristic
930C22×C11#58511yescharacteristic
931C2×D11—22no—
932C2×D11—22no—
933C2×D11—22no—
934C2×D11—22no—
935C2×D11—22no—
936C2×D11—22no—
937C2×D11—22no—
938C2×D11—22no—
939C2×D11—22no—
940C2×D11—22no—
941C2×D11—22no—
942C2×D11—22no—
943C2×D11—416no—
944C2×D11—41no—
945C2×D11—41no—
946C2×D11—41no—
947C2×D11—41no—
948C2×D11—41no—
949C2×D11—41no—
950C2×D11—41no—
951C2×D11—41no—
952C2×D11C4×#4114yes—
953C4×C11—22no—
954C4×C11—22no—
955C4×C11—22no—
956C4×C11—22no—
957C4×C11—22no—
958C4×C11—22no—
959C4×C11—22no—
960C4×C11—22no—
961C4×C11—41no—
962C4×C11—41no—
963C4×C11—41no—
964C4×C11—41no—
965C4×C11—41no—
966Dic11—22no—
967Dic11—22no—
968Dic11—22no—
969Dic11—22no—
970Dic11—22no—
971Dic11—22no—
972Dic11—22no—
973Dic11—22no—
974Dic11—41no—
975Dic11—41no—
976Dic11—41no—
977Dic11—41no—
978Dic11—41no—
979C25—111no—
980C22×Q8C22×D1111yescharacteristic
981C22×D4—111no—
982C22×D4—111no—
983C22×D4—111no—
984C22×D4—111no—
985C22×D4—111no—
986C22×D4—111no—
987C22×D4C22×D1111yescharacteristic
988C23×C4—111no—
989C23×C4—111no—
990C23×C4—111no—
991C23×C4—111no—
992C23×C4—111no—
993C23×C4—111no—
994C23×C4—111no—
995C23×C4—111no—
996C23×C4—111no—
997C23×C4—111no—
998C23×C4—111no—
999C23×C4—111no—
1000C23×C4—111no—
1001C23×C4—111no—
1002C23×C4—224no—
1003C23×C4—442no—
1004C23×C4—442no—
1005C23×C4C22×D1111yescharacteristic
1006C23×C4C22×D1111yescharacteristic
1007#126—118no—
1008#126—118no—
1009#124—118no—
1010#124C4×D1118yescomplemented
1011#123—118no—
1012#123—118no—
1013C22⋊Q8—118no—
1014#121—118no—
1015#121—118no—
1016#121—118no—
1017#120—118no—
1018#120—118no—
1019C4×Q8—442no—
1020C4×D4—118no—
1021C4×D4—118no—
1022C4×D4—224no—
1023C4×D4—224no—
1024C4×D4—224no—
1025C4×D4—224no—
1026C4×D4—442no—
1027C4×D4—442no—
1028C4×D4—442no—
1029C4×D4—442no—
1030C4×D4—442no—
1031#117—442no—
1032#117—442no—
1033C2×C4⋊C4—111no—
1034C2×C4⋊C4—111no—
1035C2×C4⋊C4—111no—
1036C2×C4⋊C4—111no—
1037C2×C4⋊C4—111no—
1038C2×C4⋊C4—111no—
1039C2×C4⋊C4—111no—
1040C2×C4⋊C4—111no—
1041C2×C4⋊C4—111no—
1042C2×C4⋊C4—111no—
1043C2×C4⋊C4—111no—
1044C2×C4⋊C4—111no—
1045C2×C4⋊C4—111no—
1046C2×C4⋊C4—111no—
1047C2×C4⋊C4—111no—
1048C2×C4⋊C4—111no—
1049C2×C4⋊C4—111no—
1050C2×C4⋊C4—111no—
1051C2×C4⋊C4—111no—
1052C2×C4⋊C4—111no—
1053C2×C4⋊C4C22×D1111yescharacteristic
1054C2×C4⋊C4C22×D1111yescharacteristic
1055C2×C22⋊C4—111no—
1056C2×C22⋊C4—111no—
1057C2×C22⋊C4—111no—
1058C2×C22⋊C4—111no—
1059C2×C22⋊C4—111no—
1060C2×C22⋊C4—111no—
1061C2×C22⋊C4—111no—
1062C2×C22⋊C4—111no—
1063C2×C22⋊C4—111no—
1064C2×C22⋊C4—111no—
1065C2×C22⋊C4—118no—
1066C2×C22⋊C4—111no—
1067C2×C22⋊C4—111no—
1068C2×C22⋊C4—111no—
1069C2×C22⋊C4—111no—
1070C2×C22⋊C4—111no—
1071C2×C22⋊C4—111no—
1072C2×C22⋊C4—111no—
1073C2×C22⋊C4—111no—
1074C2×C22⋊C4—111no—
1075C2×C22⋊C4—111no—
1076C2×C22⋊C4—111no—
1077C2×C22⋊C4—111no—
1078C2×C22⋊C4—111no—
1079C2×C22⋊C4—111no—
1080C2×C22⋊C4—111no—
1081C2×C22⋊C4—111no—
1082C2×C22⋊C4—111no—
1083C2×C22⋊C4—111no—
1084C2×C22⋊C4—111no—
1085C2×C22⋊C4—111no—
1086C2×C22⋊C4—111no—
1087C2×C22⋊C4—111no—
1088C2×C22⋊C4—224no—
1089C2×C22⋊C4C22×D1111yescharacteristic
1090C2×C22⋊C4C22×D1111yescharacteristic
1091C2×C22⋊C4C22×D1111yescharacteristic
1092C2×C22⋊C4C22×D1111yescharacteristic
1093C2×C22⋊C4C22×D1111yescharacteristic
1094C2×C22⋊C4C22×D1111yescharacteristic
1095C2×C22⋊C4C22×D1111yescharacteristic
1096C2×C22⋊C4C22×D1111yescharacteristic
1097C2×C22⋊C4C22×D1111yescharacteristic
1098C2×C22⋊C4C22×D1111yescharacteristic
1099C2×C42—111no—
1100C2×C42—111no—
1101C2×C42—111no—
1102C2×C42—111no—
1103C2×C42—111no—
1104C2×C42—111no—
1105C2×C42—111no—
1106C2×C42—111no—
1107C2×C42—111no—
1108C2×C42—111no—
1109C2×C42—111no—
1110C2×C42—111no—
1111C2×C42—111no—
1112C2×C42—111no—
1113C2×C42—111no—
1114C2×C42—111no—
1115C2×C42—111no—
1116C2×C42—111no—
1117C2×C42—111no—
1118C2×C42—442no—
1119C2×C42—442no—
1120C2×C42C22×D1111yescharacteristic
1121C2×C42C22×D1111yescharacteristic
1122C2×C42C22×D1111yescharacteristic
1123C2×C42C22×D1111yescharacteristic
1124C2×C42C22×D1111yescharacteristic
1125C2×C42C22×D1111yescharacteristic
1126C2×C42C22×D1111yescharacteristic
1127#95—111no—
1128#95—111no—
1129#95—111no—
1130#95—111no—
1131#95—111no—
1132#95—111no—
1133#95—111no—
1134#95—111no—
1135#95—111no—
1136#95—111no—
1137#95—111no—
1138#95—111no—
1139#95—111no—
1140#95—111no—
1141#95—111no—
1142#95—111no—
1143#95—111no—
1144#95—111no—
1145#95—111no—
1146#95—111no—
1147#95—111no—
1148#95—111no—
1149#95—111no—
1150#95—111no—
1151#95—111no—
1152#95—111no—
1153#95—111no—
1154#95—111no—
1155#95C22×D1111yescharacteristic
1156#95C22×D1111yescharacteristic
1157#95C22×D1111yescharacteristic
1158#95C22×D1111yescharacteristic
1159#95C22×D1111yescharacteristic
1160#95C22×D1111yescharacteristic
1161#95C22×D1111yescharacteristic
1162#95C22×D1111yescharacteristic
1163#95C22×D1111yescharacteristic
1164#95C22×D1111yescharacteristic
1165#95C22×D1111yescharacteristic
1166#95C22×D1111yescharacteristic
1167C2×C11—42no—
1168C2×C11—42no—
1169C2×C11C2×C4×#4111yescharacteristic
1170C2×C11C4×H(5,𝔽2)11yescharacteristic
1171C2×C11C4×H(5,𝔽2)11yescharacteristic
1172C2×C11#349011yescharacteristic
1173C2×C11#349311yescharacteristic
1174C2×C11#350511yescharacteristic
1175C2×C11#350611yescharacteristic
1176D11—24no—
1177D11—42no—
1178D11—42no—
1179C24—111no—
1180C24—111no—
1181C24—111no—
1182C24—114no—
1183C24—222no—
1184C24—222no—
1185C24—441no—
1186C24—441no—
1187C24—441no—
1188C24—441no—
1189C24C23×D1111yescharacteristic
1190C24C23×D1111yescharacteristic
1191C2×Q8—41no—
1192C2×Q8—41no—
1193C2×Q8C2×C4×D1114yescomplemented
1194C2×D4—41no—
1195C2×D4—41no—
1196C2×D4—114no—
1197C2×D4—114no—
1198C2×D4—114no—
1199C2×D4—114no—
1200C2×D4—114no—
1201C2×D4—114no—
1202C2×D4—222no—
1203C2×D4—222no—
1204C2×D4—222no—
1205C2×D4—222no—
1206C2×D4—441no—
1207C2×D4—441no—
1208C2×D4—441no—
1209C2×D4—441no—
1210C2×D4—441no—
1211C2×D4—441no—
1212C2×D4—441no—
1213C2×D4—441no—
1214C2×D4C2×C4×D1114yes—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—111no—
1222C22×C4—111no—
1223C22×C4—111no—
1224C22×C4—111no—
1225C22×C4—111no—
1226C22×C4—111no—
1227C22×C4—111no—
1228C22×C4—111no—
1229C22×C4—114no—
1230C22×C4—114no—
1231C22×C4—114no—
1232C22×C4—114no—
1233C22×C4—114no—
1234C22×C4—114no—
1235C22×C4—111no—
1236C22×C4—111no—
1237C22×C4—111no—
1238C22×C4—111no—
1239C22×C4—111no—
1240C22×C4—222no—
1241C22×C4—222no—
1242C22×C4—222no—
1243C22×C4—222no—
1244C22×C4—222no—
1245C22×C4—222no—
1246C22×C4—222no—
1247C22×C4—222no—
1248C22×C4—222no—
1249C22×C4—222no—
1250C22×C4—222no—
1251C22×C4—222no—
1252C22×C4—222no—
1253C22×C4—441no—
1254C22×C4—441no—
1255C22×C4—441no—
1256C22×C4—441no—
1257C22×C4—441no—
1258C22×C4—441no—
1259C22×C4—441no—
1260C22×C4—441no—
1261C22×C4—441no—
1262C22×C4—441no—
1263C22×C4—441no—
1264C22×C4—441no—
1265C22×C4—441no—
1266C22×C4—441no—
1267C22×C4—441no—
1268C22×C4—441no—
1269C22×C4—441no—
1270C22×C4—441no—
1271C22×C4—4416no—
1272C22×C4—441no—
1273C22×C4—441no—
1274C22×C4—441no—
1275C22×C4—441no—
1276C22×C4—441no—
1277C22×C4C23×D1111yescharacteristic
1278C22×C4C23×D1111yescharacteristic
1279C22×C4C23×D1111yescharacteristic
1280C22×C4C23×D1111yescharacteristic
1281C22×C4C23×D1111yescharacteristic
1282C22×C4C23×D1111yescharacteristic
1283C22×C4C23×D1111yescharacteristic
1284C22×C4C23×D1111yescharacteristic
1285C22×C4C23×D1111yescharacteristic
1286C22×C4C23×D1111yescharacteristic
1287C22×C4C23×D1111yescharacteristic
1288C22×C4C23×D1111yescharacteristic
1289C22×C4C23×D1111yescharacteristic
1290C4⋊C4—41no—
1291C4⋊C4—41no—
1292C4⋊C4—114no—
1293C4⋊C4—114no—
1294C4⋊C4—114no—
1295C4⋊C4—114no—
1296C4⋊C4—114no—
1297C4⋊C4—114no—
1298C4⋊C4—222no—
1299C4⋊C4—222no—
1300C4⋊C4—222no—
1301C4⋊C4—222no—
1302C4⋊C4—222no—
1303C4⋊C4—222no—
1304C4⋊C4—222no—
1305C4⋊C4—222no—
1306C4⋊C4—441no—
1307C4⋊C4—441no—
1308C4⋊C4—441no—
1309C4⋊C4—441no—
1310C4⋊C4—441no—
1311C4⋊C4—441no—
1312C22⋊C4—22no—
1313C22⋊C4—22no—
1314C22⋊C4—22no—
1315C22⋊C4—41no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—114no—
1319C22⋊C4—114no—
1320C22⋊C4—114no—
1321C22⋊C4—114no—
1322C22⋊C4—114no—
1323C22⋊C4—114no—
1324C22⋊C4—114no—
1325C22⋊C4—114no—
1326C22⋊C4—114no—
1327C22⋊C4—114no—
1328C22⋊C4—222no—
1329C22⋊C4—222no—
1330C22⋊C4—222no—
1331C22⋊C4—222no—
1332C22⋊C4—222no—
1333C22⋊C4—222no—
1334C22⋊C4—222no—
1335C22⋊C4—222no—
1336C22⋊C4—222no—
1337C22⋊C4—222no—
1338C22⋊C4—222no—
1339C22⋊C4—222no—
1340C22⋊C4—222no—
1341C22⋊C4—441no—
1342C22⋊C4—441no—
1343C22⋊C4—441no—
1344C22⋊C4—441no—
1345C22⋊C4—441no—
1346C22⋊C4—441no—
1347C22⋊C4—441no—
1348C22⋊C4—441no—
1349C22⋊C4—441no—
1350C22⋊C4C2×C4×D1114yes—
1351C22⋊C4C2×C4×D1114yes—
1352C22⋊C4C2×C4×D1114yescomplemented
1353C22⋊C4C2×C4×D1114yescomplemented
1354C42—22no—
1355C42—22no—
1356C42—22no—
1357C42—41no—
1358C42—41no—
1359C42—41no—
1360C42—114no—
1361C42—222no—
1362C42—222no—
1363C42—222no—
1364C42—222no—
1365C42—222no—
1366C42—441no—
1367C42—441no—
1368C42—441no—
1369C42—441no—
1370C42—441no—
1371C42—441no—
1372C42—441no—
1373C42—441no—
1374C42—441no—
1375C42—441no—
1376C42—441no—
1377C42—441no—
1378C42—441no—
1379C42C2×C4×D1114yescomplemented
1380C11#3427711yescharacteristic, complemented, Sylow
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—112no—
1394C23—112no—
1395C23—112no—
1396C23—112no—
1397C23—112no—
1398C23—228no—
1399C23—221no—
1400C23—221no—
1401C23—221no—
1402C23—221no—
1403C23—221no—
1404C23—221no—
1405C23—221no—
1406C23—221no—
1407C23—221no—
1408C23—221no—
1409C23—221no—
1410C23—221no—
1411C23—221no—
1412C23—221no—
1413C23—221no—
1414C23—221no—
1415C23—444no—
1416C23—444no—
1417C23—444no—
1418C23—444no—
1419C23—444no—
1420C23—444no—
1421C23C22×C4×D1112yes—
1422C23C22×C4×D1112yes—
1423C23C24×D1111yescharacteristic
1424Q8—44no—
1425D4—44no—
1426D4—228no—
1427D4—228no—
1428D4—444no—
1429D4—444no—
1430D4—444no—
1431D4—444no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—44no—
1464C2×C4—82no—
1465C2×C4—112no—
1466C2×C4—112no—
1467C2×C4—112no—
1468C2×C4—112no—
1469C2×C4—112no—
1470C2×C4—112no—
1471C2×C4—112no—
1472C2×C4—112no—
1473C2×C4—228no—
1474C2×C4—221no—
1475C2×C4—221no—
1476C2×C4—221no—
1477C2×C4—221no—
1478C2×C4—221no—
1479C2×C4—221no—
1480C2×C4—221no—
1481C2×C4—221no—
1482C2×C4—221no—
1483C2×C4—221no—
1484C2×C4—221no—
1485C2×C4—221no—
1486C2×C4—221no—
1487C2×C4—221no—
1488C2×C4—221no—
1489C2×C4—221no—
1490C2×C4—221no—
1491C2×C4—221no—
1492C2×C4—221no—
1493C2×C4—221no—
1494C2×C4—221no—
1495C2×C4—221no—
1496C2×C4—221no—
1497C2×C4—221no—
1498C2×C4—221no—
1499C2×C4—221no—
1500C2×C4—221no—
1501C2×C4—221no—
1502C2×C4—221no—
1503C2×C4—221no—
1504C2×C4—221no—
1505C2×C4—444no—
1506C2×C4—444no—
1507C2×C4—444no—
1508C2×C4—444no—
1509C2×C4—444no—
1510C2×C4—444no—
1511C2×C4—444no—
1512C2×C4—444no—
1513C2×C4—444no—
1514C2×C4—444no—
1515C2×C4—882no—
1516C2×C4—882no—
1517C2×C4—882no—
1518C2×C4C22×C4×D1112yes—
1519C2×C4C22×C4×D1112yes—
1520C2×C4C22×C4×D1112yes—
1521C2×C4C22×C4×D1112yes—
1522C2×C4C22×C4×D1112yes—
1523C2×C4#41×D1112yes—
1524C2×C4#41×D1112yes—
1525C2×C4#6704212yes—
1526C22—22no—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—114no—
1541C22—222no—
1542C22—222no—
1543C22—222no—
1544C22—222no—
1545C22—222no—
1546C22—222no—
1547C22—222no—
1548C22—222no—
1549C22—222no—
1550C22—222no—
1551C22—222no—
1552C22—222no—
1553C22—4416no—
1554C22—441no—
1555C22—441no—
1556C22—441no—
1557C22—441no—
1558C22—441no—
1559C22—441no—
1560C22—441no—
1561C22—441no—
1562C22C23×C4×D1111yescharacteristic
1563C22C2×#41×D1111yescharacteristic
1564C22C2×#41×D1111yescharacteristic
1565C22C2×#6704211yescharacteristic
1566C22#1062345311yescharacteristic
1567C22D11×H(5,𝔽2)11yescharacteristic
1568C22#1062345511yescharacteristic
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—22no—
1573C4—22no—
1574C4—22no—
1575C4—22no—
1576C4—22no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—41no—
1582C4—222no—
1583C4—222no—
1584C4—222no—
1585C4—222no—
1586C4—222no—
1587C4—222no—
1588C4—222no—
1589C4—222no—
1590C4—441no—
1591C4—441no—
1592C4—441no—
1593C4—441no—
1594C4—441no—
1595C2—42no—
1596C2—42no—
1597C2—224no—
1598C2—442no—
1599C2—442no—
1600C2C4×#41×D1111yescharacteristic
1601C2#1308182011yescharacteristic
1602C2C4×#6704211yescharacteristic
1603C2#1308230011yescharacteristic
1604C2#1308232711yescharacteristic
1605C2#1308244711yescharacteristic
1606C2#1308245811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2372C2
socle, cosocleC23×C11C25
prime radicalC2×#10623209C2
hypercenter#2372D11
hypocenterC11#34277
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2372

Complements

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

NH ≅ G/Ntype
2. #13071746C2semidirect
3. #13071744C2semidirect
4. #13071743C2semidirect
5. #13071738C2semidirect
6. #13071736C2semidirect
7. #13071736C2semidirect
8. #13071727C2semidirect
9. #13071692C2semidirect
10. #13071691C2semidirect
11. #13071667C2semidirect
12. #13071664C2semidirect
13. #13071657C2semidirect
14. #13071649C2semidirect
15. #13071610C2semidirect
16. #13071609C2semidirect
17. #13071348C2semidirect
18. #13071320C2semidirect
19. #13071278C2semidirect
20. #13071272C2semidirect
21. #13071210C2semidirect
22. #13071154C2semidirect
23. C4×#66937C2semidirect
24. #13071121C2semidirect
25. C4×#66935C2semidirect
26. #13071060C2semidirect
27. #13071058C2semidirect
28. #13070978C2semidirect
29. #13070975C2semidirect
30. C4×C22⋊C4×D11C2semidirect
31. C11×#2372C2semidirect
36. C2×Q8×Dic11C22semidirect
42. C2×C4×C22⋊D11C22semidirect
43. #10623209C4semidirect
55. C2×#66930C22semidirect
61. C2×#66925C22semidirect
64. C11×#391C22semidirect
65. C11×#391C22semidirect
68. C11×#388C22semidirect
69. C11×#388C22semidirect
74. C4×C11×C22⋊C4C22semidirect
75. C4×C11×C22⋊C4C22semidirect
76. C11×#376C22semidirect
77. C11×#376C22semidirect
78. #10622843C22semidirect
83. C2×C11⋊#95C22semidirect
85. #10622603C22semidirect
89. C4⋊C4×Dic11C22semidirect
90. C4⋊C4×Dic11C22semidirect
91. #10622585C22semidirect
93. #10622571C22semidirect
96. #10622570C22semidirect
101. #10622569C22semidirect
106. #10622564C22semidirect
107. #10622564C22semidirect
109. #10622563C22semidirect
117. C22⋊C4×Dic11C22semidirect
118. C22⋊C4×Dic11C22semidirect
119. C22⋊C4×Dic11C22semidirect
127. C4×(C2×D11)⋊C4C22semidirect
128. C4×(C2×D11)⋊C4C22semidirect
129. C4×C4⋊Dic11C22semidirect
130. C4×C4⋊Dic11C22semidirect
131. C4×C4⋊Dic11C22semidirect
132. C4×C4⋊Dic11C22semidirect
133. #10622546C22semidirect
134. #10622546C22semidirect
135. #10622546C22semidirect
136. C4×Dic11⋊C4C22semidirect
137. C4×Dic11⋊C4C22semidirect
138. C4×Dic11⋊C4C22semidirect
139. #10622541C22semidirect
143. #10622283C22semidirect
144. #10622283C22semidirect
147. #10622282C22semidirect
153. #10622281C22semidirect
162. #10622279C22semidirect
163. #10622279C22semidirect
164. #10622279C22semidirect
171. D11×#95C22semidirect
172. #10622268C22semidirect
173. #10622268C22semidirect
174. #10622268C22semidirect
175. #10622267C22semidirect
176. #10622266C22semidirect
177. #10622266C22semidirect
178. #10622266C22semidirect
179. #10622265C22semidirect
180. #10622265C22semidirect
181. #10622262C22semidirect
182. #10622262C22semidirect
183. #10622262C22semidirect
184. #10622261C22semidirect
185. #10622261C22semidirect
186. #10622260C22semidirect
187. #10622260C22semidirect
216. C11×#124C2×C4semidirect
244. #67000C2×C4semidirect
245. #66999C2×C4semidirect
247. #66992C2×C4semidirect
248. #66990C2×C4semidirect
316. #66939C2×C4semidirect
317. #66937C2×C4semidirect
318. #66937C2×C4semidirect
319. #66936C2×C4semidirect
320. #66935C2×C4semidirect
323. (C22⋊D11)⋊C4C2×C4semidirect
325. C22⋊C4×D11C2×C4semidirect
326. #66932C2×C4semidirect
328. #66929C2×C4semidirect
332. C4×D44C2×C4semidirect
391. C2×Q8×C11C22×C4semidirect
425. C2×C22⋊D11C22×C4semidirect
434. C22×Dic11C22×C4semidirect
485. C2×C4×D11C22×C4semidirect
498. C11×C22⋊C4C22×C4semidirect
499. C11×C22⋊C4C22×C4semidirect
506. C42×C11C22×C4semidirect
537. (C2×D11)⋊C4C22×C4semidirect
538. (C2×D11)⋊C4C22×C4semidirect
545. C4⋊Dic11C22×C4semidirect
546. C4⋊Dic11C22×C4semidirect
555. Dic11⋊C4C22×C4semidirect
556. Dic11⋊C4C22×C4semidirect
557. Dic11⋊C4C22×C4semidirect
558. Dic11⋊C4C22×C4semidirect
577. C4×Dic11C22×C4semidirect
586. #2372D11semidirect
787. #391C2×D11semidirect
788. #391C2×D11semidirect
820. #388C2×D11semidirect
821. #388C2×D11semidirect
900. C4×C22⋊C4C2×D11semidirect
901. C4×C22⋊C4C2×D11semidirect
904. #376C2×D11semidirect
905. #376C2×D11semidirect
1010. #124C4×D11semidirect
1193. C2×Q8C2×C4×D11semidirect
1352. C22⋊C4C2×C4×D11semidirect
1353. C22⋊C4C2×C4×D11semidirect
1379. C42C2×C4×D11semidirect
1380. C11#34277semidirect

Maximal subgroups

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

subgroupindex
C2×#106232092
#130717462
#130717442
#130717432
#130717382
#130717362
#130717272
#130716922
#130716912
#130716672
#130716642
#130716572
#130716492
#130716102
#130716092
#130713482
#130713202
#130712782
#130712722
#130712102
#130711542
C4×#669372
#130711212
C4×#669352
#130710602
#130710582
#130709782
#130709752
C4×C22⋊C4×D112
C11×#23722
#3427711