Finite Group Databasebeta

← #14926765

Subgroups — #14926765

Order 2816.

2404 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623095C211yesmaximal, characteristic, complemented
2#13076986C211yesmaximal, characteristic, complemented
3#13076981C211yesmaximal, characteristic, complemented
4#13076945C211yesmaximal, characteristic, complemented
5#13076915C211yesmaximal, characteristic, complemented
6#13074778C211yesmaximal, characteristic, complemented
7#13074766C211yesmaximal, characteristic, complemented
8#13074755C211yesmaximal, characteristic, complemented
9#13074745C211yesmaximal, characteristic, complemented
10#13073758C211yesmaximal, characteristic, complemented
11#13073741C211yesmaximal, characteristic, complemented
12#13073726C211yesmaximal, characteristic, complemented
13#13073713C211yesmaximal, characteristic, complemented
14#13073624C211yesmaximal, characteristic, complemented
15#13073574C211yesmaximal, characteristic, complemented
16#13073544C211yesmaximal, characteristic, complemented
17#13073503C211yesmaximal, characteristic, complemented
18#13073316C211yesmaximal, characteristic, complemented
19#13073296C211yesmaximal, characteristic, complemented
20#13072948C211yesmaximal, characteristic, complemented
21#13072741C211yesmaximal, characteristic, complemented
22#13072627C211yesmaximal, characteristic, complemented
23#13072582C211yesmaximal, characteristic, complemented
24#13072173C211yesmaximal, characteristic, complemented
25#13072156C211yesmaximal, characteristic, complemented
26#13071281C211yesmaximal, characteristic, complemented
27#13071274C211yesmaximal, characteristic, complemented
28C4×#66992C211yesmaximal, characteristic, complemented
29C2×#10622558C211yesmaximal, characteristic, complemented
30C4×D4×Dic11C211yesmaximal, characteristic, complemented
31C2×C11×#538C211yesmaximal, characteristic, complemented
32C11×#538—28no—
33C2×C11×#126C2211yescharacteristic
34C2×C11×#126C2211yescharacteristic
35C2×C11×#124C2211yescharacteristic
36C2×C11×#124C2211yescharacteristic
37C2×C11×#123C2211yescharacteristic
38C2×C11×#123C2211yescharacteristic
39C2×C11×C22⋊Q8C2211yescharacteristic
40C2×C11×#121C2211yescharacteristic
41C2×C11×#121C2211yescharacteristic
42C2×C11×#121C2211yescharacteristic
43C2×C11×#120C2211yescharacteristic
44C2×C11×#120C2211yescharacteristic
45C2×C4×D4×C11C2211yescharacteristic
46C2×C4×D4×C11C2211yescharacteristic
47C22×C11×C22⋊C4C2211yescharacteristic
48C2×#67006C2211yescharacteristic
49C22×C22⋊Dic11C2211yescharacteristic
50C22×C22⋊Dic11C2211yescharacteristic
51C2×#66992C2211yescharacteristic
52C2×#66992C2211yescharacteristic
53C2×#66992C2211yescharacteristic
54C2×#66989C2211yescharacteristic
55C2×#66988C2211yescharacteristic
56C2×#66988C2211yescharacteristic
57C2×D4×Dic11C2211yescharacteristic
58C2×D4×Dic11C2211yescharacteristic
59C2×#66982C2211yescharacteristic, complemented
60C2×C4×C22⋊D11C2211yescharacteristic
61C2×C4×C22⋊D11C2211yescharacteristic, complemented
62C2×#66977C2211yescharacteristic, complemented
63C22×Dic11⋊C4C2211yescharacteristic
64C22×C4×Dic11C2211yescharacteristic
65C22×C4×Dic11C2211yescharacteristic, complemented
66#10623095—28no—
67C2×#66949C2211yescharacteristic, complemented
68C2×#66942C2211yescharacteristic, complemented
69C2×#66939C2211yescharacteristic
70C2×#66936C2211yescharacteristic, complemented
71C2×#66932C2211yescharacteristic, complemented
72C2×#66931C2211yescharacteristic
73C2×#66929C2211yescharacteristic, complemented
74C2×#66923C2211yescharacteristic, complemented
75#10622860C2211yescharacteristic
76#10622844C2211yescharacteristic, complemented
77#10622843C2211yescharacteristic, complemented
78#10622843C2211yescharacteristic, complemented
79#10622842C2211yescharacteristic, complemented
80#10622836C2211yescharacteristic
81#10622836C2211yescharacteristic
82#10622836C2211yescharacteristic
83#10622836C2211yescharacteristic, complemented
84#10622835C2211yescharacteristic
85#10622835C2211yescharacteristic
86#10622835C2211yescharacteristic
87#10622835C2211yescharacteristic
88#10622835C2211yescharacteristic
89#10622835C2211yescharacteristic, complemented
90#10622834C2211yescharacteristic
91#10622834C2211yescharacteristic
92#10622834C2211yescharacteristic
93#10622833C2211yescharacteristic
94#10622833C2211yescharacteristic
95#10622833C2211yescharacteristic
96#10622833C2211yescharacteristic
97#10622833C2211yescharacteristic
98#10622833C2211yescharacteristic, complemented
99#10622833C2211yescharacteristic, complemented
100#10622826C2211yescharacteristic
101#10622823C2211yescharacteristic
102#10622823C2211yescharacteristic, complemented
103#10622823C2211yescharacteristic, complemented
104C4×C22⋊Dic11C2211yescharacteristic
105C4×C22⋊Dic11C2211yescharacteristic, complemented
106C4×C22⋊Dic11C2211yescharacteristic, complemented
107C2×C11⋊#95C2211yescharacteristic
108C2×C11⋊#95C2211yescharacteristic
109#10622606C2211yescharacteristic, complemented
110#10622603C2211yescharacteristic, complemented
111#10622603C2211yescharacteristic, complemented
112#10622603C2211yescharacteristic, complemented
113#10622603C2211yescharacteristic, complemented
114#10622599C2211yescharacteristic, complemented
115#10622599C2211yescharacteristic, complemented
116#10622597C2211yescharacteristic, complemented
117#10622597C2211yescharacteristic, complemented
118#10622596C2211yescharacteristic, complemented
119#10622593C2211yescharacteristic, complemented
120#10622592C2211yescharacteristic, complemented
121#10622590C2211yescharacteristic, complemented
122C4⋊C4×Dic11C2211yescharacteristic, complemented
123C4⋊C4×Dic11C2211yescharacteristic, complemented
124#10622587C2211yescharacteristic, complemented
125#10622585C2211yescharacteristic, complemented
126#10622585C2211yescharacteristic, complemented
127#10622585C2211yescharacteristic, complemented
128#10622585C2211yescharacteristic, complemented
129#10622585C2211yescharacteristic, complemented
130#10622585C2211yescharacteristic, complemented
131#10622574C2211yescharacteristic
132#10622574C2211yescharacteristic, complemented
133#10622571C2211yescharacteristic
134#10622571C2211yescharacteristic, complemented
135#10622570C2211yescharacteristic
136#10622570C2211yescharacteristic
137#10622570C2211yescharacteristic
138#10622570C2211yescharacteristic
139#10622570C2211yescharacteristic
140#10622570C2211yescharacteristic, complemented
141#10622569C2211yescharacteristic
142#10622569C2211yescharacteristic
143#10622566C2211yescharacteristic
144#10622565C2211yescharacteristic, complemented
145#10622565C2211yescharacteristic, complemented
146#10622562C2211yescharacteristic
147#10622562C2211yescharacteristic
148#10622561C2211yescharacteristic
149#10622561C2211yescharacteristic
150#10622561C2211yescharacteristic
151#10622561C2211yescharacteristic, complemented
152#10622560C2211yescharacteristic
153#10622559C2211yescharacteristic
154#10622558C2211yescharacteristic
155#10622558C2211yescharacteristic
156#10622558C2211yescharacteristic
157#10622558C2211yescharacteristic
158#10622558C2211yescharacteristic
159#10622558C2211yescharacteristic
160#10622558C2211yescharacteristic
161#10622558C2211yescharacteristic
162#10622558C2211yescharacteristic
163#10622558C2211yescharacteristic
164#10622558C2211yescharacteristic
165#10622558C2211yescharacteristic
166#10622558C2211yescharacteristic
167#10622558C2211yescharacteristic
168#10622558C2211yescharacteristic
169#10622558C2211yescharacteristic, complemented
170#10622558C2211yescharacteristic, complemented
171#10622558C2211yescharacteristic, complemented
172#10622558C2211yescharacteristic, complemented
173#10622558C2211yescharacteristic, complemented
174#10622557C2211yescharacteristic
175#10622557C2211yescharacteristic
176#10622556C2211yescharacteristic
177#10622555C2211yescharacteristic
178#10622555C2211yescharacteristic, complemented
179C22⋊C4×Dic11C2211yescharacteristic
180C22⋊C4×Dic11C2211yescharacteristic
181C22⋊C4×Dic11C2211yescharacteristic, complemented
182C22⋊C4×Dic11C2211yescharacteristic, complemented
183C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
184C4×C4⋊Dic11C2211yescharacteristic, complemented
185#10622546C2211yescharacteristic, complemented
186#10622546C2211yescharacteristic, complemented
187C4×Dic11⋊C4C2211yescharacteristic, complemented
188C42×Dic11C2211yescharacteristic, complemented
189C25×C11C2311yescharacteristic
190C22×Q8×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C22×D4×C11C2311yescharacteristic
195C22×D4×C11C2311yescharacteristic
196C22×D4×C11C2311yescharacteristic
197C22×D4×C11C2311yescharacteristic
198C23×C4×C11C2311yescharacteristic
199C23×C4×C11C2311yescharacteristic
200C23×C4×C11C2311yescharacteristic
201C23×C4×C11C2311yescharacteristic
202C22×C22⋊D11C2311yescharacteristic
203C22×C22⋊D11C2311yescharacteristic
204C22×C22⋊D11C2311yescharacteristic
205C22×C22⋊D11C2311yescharacteristic
206C22×C22⋊D11C2311yescharacteristic
207C23×Dic11C2311yescharacteristic
208C23×Dic11C2311yescharacteristic
209C23×Dic11C2311yescharacteristic
210C23×Dic11C2311yescharacteristic
211C23×Dic11C2311yescharacteristic
212C23×Dic11C2311yescharacteristic
213C22×C4×D11C2311yescharacteristic
214C22×Dic22C2311yescharacteristic
215C11×#126—24no—
216C11×#126—24no—
217C11×#124—24no—
218C11×#124—24no—
219C11×#123—24no—
220C11×#123—24no—
221C11×C22⋊Q8—24no—
222C11×#121—24no—
223C11×#121—24no—
224C11×#121—24no—
225C11×#120—24no—
226C11×#120—24no—
227C4×D4×C11—24no—
228C4×D4×C11D418yescomplemented
229C2×C11×C4⋊C4C2311yescharacteristic
230C2×C11×C4⋊C4C2311yescharacteristic
231C2×C11×C4⋊C4C2311yescharacteristic
232C2×C11×C4⋊C4C2311yescharacteristic
233C2×C11×C4⋊C4C2311yescharacteristic
234C2×C11×C4⋊C4C2311yescharacteristic
235C2×C11×C22⋊C4—24no—
236C2×C11×C22⋊C4C2311yescharacteristic
237C2×C11×C22⋊C4C2311yescharacteristic
238C2×C11×C22⋊C4C2311yescharacteristic
239C2×C11×C22⋊C4C2311yescharacteristic
240C2×C11×C22⋊C4C2311yescharacteristic
241C2×C11×C22⋊C4C2311yescharacteristic
242C2×C11×C22⋊C4C2311yescharacteristic
243C2×C11×C22⋊C4C2311yescharacteristic
244C2×C11×C22⋊C4C2311yescharacteristic
245C2×C11×C22⋊C4C2311yescharacteristic
246C2×C11×C22⋊C4C2311yescharacteristic
247C2×C11×C22⋊C4C2311yescharacteristic
248C2×C11×C22⋊C4C2311yescharacteristic
249C2×C11×C22⋊C4C2311yescharacteristic
250C2×C42×C11C2311yescharacteristic
251C2×C42×C11C2311yescharacteristic
252#67006—24no—
253C2×C22⋊Dic11—24no—
254C2×C22⋊Dic11—42no—
255C2×C22⋊Dic11C2311yescharacteristic
256C2×C22⋊Dic11C2311yescharacteristic
257C2×C22⋊Dic11C2311yescharacteristic
258C2×C22⋊Dic11C2311yescharacteristic
259C2×C22⋊Dic11C2311yescharacteristic
260C2×C22⋊Dic11C2311yescharacteristic
261C2×C22⋊Dic11C2311yescharacteristic
262C2×C22⋊Dic11C2311yescharacteristic
263C2×C22⋊Dic11C2311yescharacteristic
264C2×C22⋊Dic11C2311yescharacteristic
265C2×C22⋊Dic11C2311yescharacteristic
266C2×C22⋊Dic11C2311yescharacteristic
267C2×C22⋊Dic11C2311yescharacteristic
268C2×C22⋊Dic11C2311yescharacteristic
269C2×C22⋊Dic11C2311yescharacteristic
270C2×C22⋊Dic11C2311yescharacteristic
271C2×C22⋊Dic11C2311yescharacteristic
272C2×C22⋊Dic11C2311yescharacteristic
273C2×C22⋊Dic11C2311yescharacteristic
274C2×C22⋊Dic11C2311yescharacteristic
275C2×C22⋊Dic11C2311yescharacteristic
276C2×C22⋊Dic11C2311yescharacteristic
277C2×C22⋊Dic11C2311yescharacteristic
278C2×C22⋊Dic11C2311yescharacteristic
279C2×C22⋊Dic11C2311yescharacteristic
280C2×C22⋊Dic11C2311yescharacteristic
281C2×C22⋊Dic11C2311yescharacteristic
282C2×C22⋊Dic11C2311yescharacteristic
283C2×C22⋊Dic11C2311yescharacteristic
284#66992—24no—
285#66992—24no—
286#66992—42no—
287#66989—42no—
288#66988—24no—
289#66988—24no—
290D4×Dic11—24no—
291D4×Dic11—24no—
292#66982—24no—
293C4×C22⋊D11—24no—
294C4×C22⋊D11—42no—
295C2×(C2×D11)⋊C4C2311yescharacteristic
296C2×(C2×D11)⋊C4C2311yescharacteristic
297C2×(C2×D11)⋊C4C2311yescharacteristic
298C2×(C2×D11)⋊C4C2311yescharacteristic
299C2×(C2×D11)⋊C4C2311yescharacteristic
300C2×(C2×D11)⋊C4C2311yescharacteristic
301C2×(C2×D11)⋊C4C2311yescharacteristic
302C2×(C2×D11)⋊C4C2311yescharacteristic
303C2×(C2×D11)⋊C4C2311yescharacteristic
304C2×C4⋊Dic11C2311yescharacteristic
305C2×C4⋊Dic11C2311yescharacteristic
306C2×C4⋊Dic11C2311yescharacteristic
307C2×C4⋊Dic11C2311yescharacteristic
308C2×C4⋊Dic11C2311yescharacteristic
309#66977—24no—
310C2×Dic11⋊C4—24no—
311C2×Dic11⋊C4C2311yescharacteristic
312C2×Dic11⋊C4C2311yescharacteristic
313C2×Dic11⋊C4C2311yescharacteristic
314C2×Dic11⋊C4C2311yescharacteristic
315C2×Dic11⋊C4C2311yescharacteristic
316C2×Dic11⋊C4C2311yescharacteristic
317C2×Dic11⋊C4C2311yescharacteristic
318C2×Dic11⋊C4C2311yescharacteristic
319C2×Dic11⋊C4C2311yescharacteristic
320C2×Dic11⋊C4C2311yescharacteristic
321C2×Dic11⋊C4C2311yescharacteristic
322C2×Dic11⋊C4C2311yescharacteristic
323C2×Dic11⋊C4C2311yescharacteristic
324C2×Dic11⋊C4C2311yescharacteristic
325C2×Dic11⋊C4C2311yescharacteristic
326C2×Dic11⋊C4C2311yescharacteristic
327C2×Dic11⋊C4C2311yescharacteristic
328C2×Dic11⋊C4C2311yescharacteristic
329C2×Dic11⋊C4C2311yescharacteristic
330C2×C4×Dic11—42no—
331C2×C4×Dic11—42no—
332C2×C4×Dic11C2311yescharacteristic
333C2×C4×Dic11C2311yescharacteristic
334C2×C4×Dic11C2311yescharacteristic
335C2×C4×Dic11C2311yescharacteristic
336C2×C4×Dic11C2311yescharacteristic
337C2×C4×Dic11C2311yescharacteristic
338C2×C4×Dic11C2311yescharacteristic
339C2×C4×Dic11C2311yescharacteristic
340C2×C4×Dic11C2311yescharacteristic
341C2×C4×Dic11C2311yescharacteristic
342C2×C4×Dic11C2311yescharacteristic
343C2×C4×Dic11C2311yescharacteristic
344C2×C4×Dic11C2311yescharacteristic
345#66949—24no—
346#66942—24no—
347#66939—24no—
348#66936—24no—
349#66932—24no—
350#66931—24no—
351#66929—24no—
352#66923—24no—
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
376C11⋊#95C2311yescharacteristic
377C11⋊#95C2311yescharacteristic
378C11⋊#95C2311yescharacteristic
379C11⋊#95C2311yescharacteristic
380C11⋊#95C2311yescharacteristic
381C11⋊#95C2311yescharacteristic
382C11⋊#95C2311yescharacteristic
383C11⋊#95C2311yescharacteristic
384C11⋊#95C2311yescharacteristic
385#35009—111nomaximal, Sylow
386C24×C11—22no—
387C24×C11—22no—
388C24×C11—22no—
389C24×C11—41no—
390C24×C11—41no—
391C24×C11—41no—
392C24×C11—41no—
393C24×C11C2411yescharacteristic
394C24×C11C2411yescharacteristic
395C24×C11C2411yescharacteristic
396C24×C11C2411yescharacteristic
397C24×C11C2411yescharacteristic
398C23×D11C2411yescharacteristic
399C2×Q8×C11—22no—
400C2×Q8×C11—41no—
401C2×Q8×C11—41no—
402C2×D4×C11—22no—
403C2×D4×C11—22no—
404C2×D4×C11—22no—
405C2×D4×C11—22no—
406C2×D4×C11—22no—
407C2×D4×C11—22no—
408C2×D4×C11—22no—
409C2×D4×C11—22no—
410C2×D4×C11—22no—
411C2×D4×C11—22no—
412C2×D4×C11—41no—
413C2×D4×C11—41no—
414C2×D4×C11—41no—
415C2×D4×C11—41no—
416C2×D4×C11—41no—
417C2×D4×C11—41no—
418C2×D4×C11—41no—
419C2×D4×C11—41no—
420C2×D4×C11—41no—
421C2×D4×C11—41no—
422C2×D4×C11C2×D414yes—
423C22×C4×C11—22no—
424C22×C4×C11—22no—
425C22×C4×C11—41no—
426C22×C4×C11—41no—
427C22×C4×C11—41no—
428C22×C4×C11—41no—
429C22×C4×C11—41no—
430C22×C4×C11—41no—
431C22×C4×C11—41no—
432C22×C4×C11—41no—
433C22×C4×C11C2×D414yes—
434C22×C4×C11C2×D414yes—
435C22×C4×C11C2411yescharacteristic
436C22×C4×C11C2411yescharacteristic
437C22×C4×C11C2411yescharacteristic
438C22×C4×C11C2411yescharacteristic
439C22×C4×C11C2411yescharacteristic
440C22×C4×C11C2411yescharacteristic
441C22×C4×C11C2411yescharacteristic
442C22×C4×C11C2411yescharacteristic
443C22×C4×C11C2411yescharacteristic
444C22×C4×C11C2411yescharacteristic
445C2×C22⋊D11—22no—
446C2×C22⋊D11—22no—
447C2×C22⋊D11—22no—
448C2×C22⋊D11—22no—
449C2×C22⋊D11—22no—
450C2×C22⋊D11—22no—
451C2×C22⋊D11—22no—
452C2×C22⋊D11—41no—
453C2×C22⋊D11—41no—
454C2×C22⋊D11—41no—
455C2×C22⋊D11—41no—
456C2×C22⋊D11—41no—
457C2×C22⋊D11—41no—
458C2×C22⋊D11—41no—
459C2×C22⋊D11—41no—
460C22×Dic11—22no—
461C22×Dic11—22no—
462C22×Dic11—22no—
463C22×Dic11—22no—
464C22×Dic11—22no—
465C22×Dic11—22no—
466C22×Dic11—22no—
467C22×Dic11—22no—
468C22×Dic11—22no—
469C22×Dic11—41no—
470C22×Dic11—41no—
471C22×Dic11—41no—
472C22×Dic11—41no—
473C22×Dic11—41no—
474C22×Dic11—41no—
475C22×Dic11—41no—
476C22×Dic11—41no—
477C22×Dic11#4114yes—
478C22×Dic11C2411yescharacteristic
479C22×Dic11C2411yescharacteristic
480C22×Dic11C2411yescharacteristic
481C22×Dic11C2411yescharacteristic
482C22×Dic11C2411yescharacteristic
483C22×Dic11C2411yescharacteristic
484C22×Dic11C2411yescharacteristic
485C22×Dic11C2411yescharacteristic
486C22×Dic11C2411yescharacteristic
487C22×Dic11C2411yescharacteristic
488C22×Dic11C2411yescharacteristic
489C22×Dic11C2411yescharacteristic
490C22×Dic11C2411yescharacteristic
491C22×Dic11C2411yescharacteristic
492C22×Dic11C2411yescharacteristic
493C2×C4×D11—22no—
494C2×C4×D11—41no—
495C2×C4×D11—41no—
496C2×Dic22—22no—
497C2×Dic22—41no—
498C2×Dic22—41no—
499C11×C4⋊C4—22no—
500C11×C4⋊C4—22no—
501C11×C4⋊C4—22no—
502C11×C4⋊C4—22no—
503C11×C4⋊C4—22no—
504C11×C4⋊C4C2×D414yes—
505C11×C22⋊C4—22no—
506C11×C22⋊C4—22no—
507C11×C22⋊C4—22no—
508C11×C22⋊C4—22no—
509C11×C22⋊C4—22no—
510C11×C22⋊C4—22no—
511C11×C22⋊C4—22no—
512C11×C22⋊C4—22no—
513C11×C22⋊C4—22no—
514C11×C22⋊C4—22no—
515C11×C22⋊C4—22no—
516C11×C22⋊C4—22no—
517C11×C22⋊C4C2×D414yes—
518C11×C22⋊C4C2×D414yes—
519C42×C11—22no—
520C42×C11C2×D414yes—
521C22⋊Dic11—22no—
522C22⋊Dic11—22no—
523C22⋊Dic11—22no—
524C22⋊Dic11—22no—
525C22⋊Dic11—22no—
526C22⋊Dic11—22no—
527C22⋊Dic11—22no—
528C22⋊Dic11—22no—
529C22⋊Dic11—22no—
530C22⋊Dic11—22no—
531C22⋊Dic11—22no—
532C22⋊Dic11—22no—
533C22⋊Dic11—22no—
534C22⋊Dic11—22no—
535C22⋊Dic11—22no—
536C22⋊Dic11—22no—
537C22⋊Dic11—22no—
538C22⋊Dic11—22no—
539C22⋊Dic11—22no—
540C22⋊Dic11—41no—
541C22⋊Dic11—41no—
542C22⋊Dic11—41no—
543C22⋊Dic11—41no—
544C22⋊Dic11—41no—
545C22⋊Dic11—41no—
546C22⋊Dic11—41no—
547C22⋊Dic11—41no—
548C22⋊Dic11—41no—
549C22⋊Dic11#4114yes—
550(C2×D11)⋊C4—22no—
551(C2×D11)⋊C4—22no—
552(C2×D11)⋊C4—22no—
553(C2×D11)⋊C4—22no—
554(C2×D11)⋊C4—22no—
555(C2×D11)⋊C4—22no—
556(C2×D11)⋊C4—41no—
557(C2×D11)⋊C4—41no—
558(C2×D11)⋊C4—41no—
559C4⋊Dic11—22no—
560C4⋊Dic11—22no—
561C4⋊Dic11—22no—
562C4⋊Dic11—22no—
563C4⋊Dic11—22no—
564Dic11⋊C4—22no—
565Dic11⋊C4—22no—
566Dic11⋊C4—22no—
567Dic11⋊C4—22no—
568Dic11⋊C4—22no—
569Dic11⋊C4—22no—
570Dic11⋊C4—22no—
571Dic11⋊C4—22no—
572Dic11⋊C4—22no—
573Dic11⋊C4—22no—
574Dic11⋊C4—22no—
575Dic11⋊C4—22no—
576Dic11⋊C4—22no—
577Dic11⋊C4—41no—
578Dic11⋊C4—41no—
579Dic11⋊C4—41no—
580Dic11⋊C4—41no—
581Dic11⋊C4—41no—
582Dic11⋊C4—41no—
583C4×Dic11—22no—
584C4×Dic11—22no—
585C4×Dic11—22no—
586C4×Dic11—22no—
587C4×Dic11—22no—
588C4×Dic11—22no—
589C4×Dic11—41no—
590C4×Dic11—41no—
591C4×Dic11—41no—
592C4×Dic11—41no—
593C4×Dic11—41no—
594C4×Dic11—41no—
595C4×Dic11—41no—
596C2×#539—111no—
597C2×#538D1111yescharacteristic, complemented
598#2861—111no—
599#2860—111no—
600#2854—111no—
601#2850—111no—
602#2664—111no—
603#2663—111no—
604#2662—111no—
605#2661—111no—
606#2560—111no—
607#2559—111no—
608#2558—111no—
609#2557—111no—
610#2549—111no—
611#2543—111no—
612#2539—111no—
613#2534—111no—
614#2521—111no—
615#2519—111no—
616#2488—111no—
617#2472—111no—
618#2464—111no—
619#2461—111no—
620#2425—111no—
621#2424—111no—
622#2322—111no—
623#2321—111no—
624C4×#121—111no—
625C2×#388—111no—
626C42×D4—111no—
627C23×C11—21no—
628C23×C11—21no—
629C23×C11—21no—
630C23×C11—21no—
631C23×C11—21no—
632C23×C11—21no—
633C23×C11—21no—
634C23×C11—21no—
635C23×C11—21no—
636C23×C11—21no—
637C23×C11—21no—
638C23×C11—21no—
639C23×C11—21no—
640C23×C11—21no—
641C23×C11—21no—
642C23×C11—21no—
643C23×C11—21no—
644C23×C11—21no—
645C23×C11—21no—
646C23×C11—21no—
647C23×C11—21no—
648C23×C11—21no—
649C23×C11—21no—
650C23×C11—21no—
651C23×C11—21no—
652C23×C11—21no—
653C23×C11—21no—
654C23×C11—21no—
655C23×C11—21no—
656C23×C11—21no—
657C23×C11—21no—
658C23×C11—44no—
659C23×C11—44no—
660C23×C11—44no—
661C23×C11—82no—
662C23×C11—82no—
663C23×C11—82no—
664C23×C11—82no—
665C23×C11C22×D412yes—
666C23×C11C22×D412yes—
667C23×C11C2×#4112yes—
668C23×C11C2×#4112yes—
669C23×C11C2511yescharacteristic
670C22×D11—21no—
671C22×D11—21no—
672C22×D11—21no—
673C22×D11—21no—
674C22×D11—21no—
675C22×D11—21no—
676C22×D11—21no—
677Q8×C11—82no—
678D4×C11—28no—
679D4×C11—44no—
680D4×C11—82no—
681D4×C11—82no—
682D4×C11—82no—
683D4×C11—82no—
684D4×C11—82no—
685C2×C4×C11—21no—
686C2×C4×C11—21no—
687C2×C4×C11—21no—
688C2×C4×C11—21no—
689C2×C4×C11—21no—
690C2×C4×C11—21no—
691C2×C4×C11—21no—
692C2×C4×C11—21no—
693C2×C4×C11—21no—
694C2×C4×C11—21no—
695C2×C4×C11—21no—
696C2×C4×C11—21no—
697C2×C4×C11—21no—
698C2×C4×C11—21no—
699C2×C4×C11—21no—
700C2×C4×C11—21no—
701C2×C4×C11—21no—
702C2×C4×C11—21no—
703C2×C4×C11—21no—
704C2×C4×C11—21no—
705C2×C4×C11—21no—
706C2×C4×C11—21no—
707C2×C4×C11—21no—
708C2×C4×C11—21no—
709C2×C4×C11—21no—
710C2×C4×C11—44no—
711C2×C4×C11—44no—
712C2×C4×C11—82no—
713C2×C4×C11—82no—
714C2×C4×C11C22×D412yes—
715C2×C4×C11C22×D412yes—
716C2×C4×C11C22×D412yes—
717C2×C4×C11C22×D412yes—
718C2×C4×C11C22×D412yes—
719C22⋊D11—44no—
720C22⋊D11—44no—
721C22⋊D11—82no—
722C22⋊D11—82no—
723C22⋊D11—82no—
724C2×Dic11—21no—
725C2×Dic11—21no—
726C2×Dic11—21no—
727C2×Dic11—21no—
728C2×Dic11—21no—
729C2×Dic11—21no—
730C2×Dic11—21no—
731C2×Dic11—21no—
732C2×Dic11—21no—
733C2×Dic11—21no—
734C2×Dic11—21no—
735C2×Dic11—21no—
736C2×Dic11—21no—
737C2×Dic11—21no—
738C2×Dic11—21no—
739C2×Dic11—21no—
740C2×Dic11—21no—
741C2×Dic11—21no—
742C2×Dic11—21no—
743C2×Dic11—21no—
744C2×Dic11—21no—
745C2×Dic11—21no—
746C2×Dic11—21no—
747C2×Dic11—21no—
748C2×Dic11—21no—
749C2×Dic11—21no—
750C2×Dic11—21no—
751C2×Dic11—21no—
752C2×Dic11—21no—
753C2×Dic11—21no—
754C2×Dic11—21no—
755C2×Dic11—21no—
756C2×Dic11—21no—
757C2×Dic11—21no—
758C2×Dic11—21no—
759C2×Dic11—21no—
760C2×Dic11—21no—
761C2×Dic11—21no—
762C2×Dic11—21no—
763C2×Dic11—21no—
764C2×Dic11—44no—
765C2×Dic11—44no—
766C2×Dic11—44no—
767C2×Dic11—44no—
768C2×Dic11—44no—
769C2×Dic11—82no—
770C2×Dic11C2×#4112yes—
771C2×Dic11C2×#4112yes—
772C2×Dic11C2×#4112yes—
773C2×Dic11C2×#4112yes—
774C2×Dic11H(5,𝔽2)12yes—
775C4×D11—82no—
776Dic22—82no—
777#539—228no—
778#538—28no—
779C2×#126—111no—
780C2×#126—111no—
781C2×#126C2×D1111yescharacteristic
782C2×#126C2×D1111yescharacteristic
783C2×#125—111no—
784C2×#125—111no—
785C2×#124—111no—
786C2×#124C2×D1111yescharacteristic
787C2×#124C2×D1111yescharacteristic
788C2×#123—111no—
789C2×#123—111no—
790C2×#123—111no—
791C2×#123—111no—
792C2×#123—111no—
793C2×#123C2×D1111yescharacteristic
794C2×#123C2×D1111yescharacteristic
795C2×C22⋊Q8—111no—
796C2×C22⋊Q8—111no—
797C2×C22⋊Q8—111no—
798C2×C22⋊Q8C2×D1111yescharacteristic
799C2×#121—111no—
800C2×#121—111no—
801C2×#121—111no—
802C2×#121C2×D1111yescharacteristic
803C2×#121C2×D1111yescharacteristic
804C2×#121C2×D1111yescharacteristic
805C2×#120—111no—
806C2×#120C2×D1111yescharacteristic
807C2×#120C2×D1111yescharacteristic
808C2×C4×D4—111no—
809C2×C4×D4—111no—
810C2×C4×D4—111no—
811C2×C4×D4—111no—
812C2×C4×D4C2×D1111yescharacteristic
813C2×C4×D4C2×D1111yescharacteristic
814C22×C4⋊C4—111no—
815C22×C22⋊C4—111no—
816C22×C22⋊C4—111no—
817C22×C22⋊C4C2×D1111yescharacteristic
818C22×C42—111no—
819C22×C42—111no—
820#400—111no—
821#400—111no—
822#399—111no—
823#399—111no—
824#398—111no—
825#398—111no—
826#398—111no—
827#398—111no—
828#397—111no—
829#397—111no—
830#397—111no—
831#397—111no—
832#396—111no—
833#396—111no—
834#396—111no—
835#396—111no—
836#395—111no—
837#395—111no—
838#394—111no—
839#394—111no—
840#394—111no—
841#394—111no—
842#394—111no—
843#394—111no—
844#394—111no—
845#394—111no—
846#393—111no—
847#393—111no—
848#392—111no—
849#392—111no—
850#392—111no—
851#392—111no—
852#391—111no—
853#391—111no—
854#391—111no—
855#390—111no—
856#390—111no—
857#390—111no—
858#390—111no—
859#390—111no—
860#390—111no—
861#390—111no—
862#390—111no—
863#390—111no—
864#389—111no—
865#389—111no—
866#389—111no—
867#389—111no—
868#389—111no—
869#389—111no—
870#388—111no—
871#388—111no—
872#388—111no—
873#388—111no—
874#388—111no—
875#388—111no—
876#388—111no—
877#388—111no—
878#388—111no—
879#388—111no—
880#388—111no—
881#388—111no—
882#388—111no—
883#388—111no—
884#388—111no—
885#388—111no—
886#388—111no—
887#388—111no—
888#388—111no—
889#388—111no—
890#388—111no—
891#388—111no—
892#388—111no—
893#388—111no—
894#388—111no—
895#388—111no—
896#387—111no—
897#387—111no—
898#386—111no—
899#386—111no—
900#386—111no—
901#386—111no—
902#386—111no—
903#386—111no—
904#386—111no—
905#386—111no—
906#386—111no—
907#386—111no—
908#386—111no—
909#386—111no—
910#385—111no—
911#385—111no—
912#385—111no—
913#385—111no—
914#382—111no—
915#381—111no—
916#380—111no—
917#380—111no—
918#379—111no—
919C4×C4⋊C4—111no—
920C4×C4⋊C4—111no—
921C4×C4⋊C4—111no—
922C4×C4⋊C4—111no—
923C4×C22⋊C4—111no—
924C4×C22⋊C4—111no—
925C4×C22⋊C4—111no—
926C4×C22⋊C4—111no—
927C4×C22⋊C4—111no—
928C4×C22⋊C4—111no—
929C4×C22⋊C4—111no—
930C4×C22⋊C4—111no—
931C2×#95—111no—
932C2×#95—111no—
933C43—111no—
934C22×C11—22no—
935C22×C11—22no—
936C22×C11—22no—
937C22×C11—22no—
938C22×C11—22no—
939C22×C11—22no—
940C22×C11—22no—
941C22×C11—22no—
942C22×C11—22no—
943C22×C11—41no—
944C22×C11—41no—
945C22×C11—41no—
946C22×C11—41no—
947C22×C11—41no—
948C22×C11—41no—
949C22×C11—41no—
950C22×C11—41no—
951C22×C11—41no—
952C22×C11—41no—
953C22×C11—41no—
954C22×C11—41no—
955C22×C11—41no—
956C22×C11—41no—
957C22×C11—41no—
958C22×C11—41no—
959C22×C11—41no—
960C22×C11—41no—
961C22×C11—41no—
962C22×C11—41no—
963C22×C11—41no—
964C22×C11—41no—
965C22×C11—41no—
966C22×C11—41no—
967C22×C11—41no—
968C22×C11—88no—
969C22×C11#53214yes—
970C22×C11C23×D411yescharacteristic
971C22×C11C22×#4111yescharacteristic
972C22×C11C22×#4111yescharacteristic
973C22×C11C2×H(5,𝔽2)11yescharacteristic
974C22×C11#58511yescharacteristic
975C22×C11#58511yescharacteristic
976C22×C11#58511yescharacteristic
977C2×D11—41no—
978C2×D11—41no—
979C2×D11—41no—
980C2×D11—41no—
981C2×D11—41no—
982C2×D11—41no—
983C2×D11—41no—
984C4×C11—22no—
985C4×C11—22no—
986C4×C11—22no—
987C4×C11—22no—
988C4×C11—22no—
989C4×C11—41no—
990C4×C11—41no—
991C4×C11—41no—
992C4×C11—41no—
993C4×C11—41no—
994Dic11—22no—
995Dic11—22no—
996Dic11—22no—
997Dic11—22no—
998Dic11—22no—
999Dic11—41no—
1000Dic11—41no—
1001Dic11—41no—
1002Dic11—41no—
1003Dic11—41no—
1004Dic11—41no—
1005Dic11—41no—
1006Dic11—41no—
1007Dic11—41no—
1008Dic11—41no—
1009C25C22×D1111yescharacteristic
1010C22×Q8—111no—
1011C22×Q8C22×D1111yescharacteristic
1012C22×D4—111no—
1013C22×D4—111no—
1014C22×D4—111no—
1015C22×D4—111no—
1016C22×D4—111no—
1017C22×D4C22×D1111yescharacteristic
1018C22×D4C22×D1111yescharacteristic
1019C22×D4C22×D1111yescharacteristic
1020C22×D4C22×D1111yescharacteristic
1021C22×D4C22×D1111yescharacteristic
1022C22×D4C22×D1111yescharacteristic
1023C22×D4C22×D1111yescharacteristic
1024C23×C4—111no—
1025C23×C4—111no—
1026C23×C4—111no—
1027C23×C4—111no—
1028C23×C4—111no—
1029C23×C4—111no—
1030C23×C4—111no—
1031C23×C4C22×D1111yescharacteristic
1032C23×C4C22×D1111yescharacteristic
1033C23×C4C22×D1111yescharacteristic
1034C23×C4C22×D1111yescharacteristic
1035#126—24no—
1036#126—24no—
1037#126—224no—
1038#126—224no—
1039#125—224no—
1040#125—224no—
1041#124—24no—
1042#124—24no—
1043#124—442no—
1044#123—24no—
1045#123—24no—
1046#123—224no—
1047#123—224no—
1048#123—224no—
1049#123—224no—
1050#123—224no—
1051C22⋊Q8—24no—
1052C22⋊Q8—224no—
1053C22⋊Q8—224no—
1054C22⋊Q8—224no—
1055#121—24no—
1056#121—24no—
1057#121—24no—
1058#121—224no—
1059#121—224no—
1060#121—442no—
1061#120—24no—
1062#120—24no—
1063#120—224no—
1064C4×D4—24no—
1065C4×D4—224no—
1066C4×D4—224no—
1067C4×D4—224no—
1068C4×D4—442no—
1069C4×D4C22⋊D1118yescomplemented
1070C2×C4⋊C4—111no—
1071C2×C4⋊C4—111no—
1072C2×C4⋊C4—111no—
1073C2×C4⋊C4—111no—
1074C2×C4⋊C4—111no—
1075C2×C4⋊C4—111no—
1076C2×C4⋊C4—111no—
1077C2×C4⋊C4—111no—
1078C2×C4⋊C4—111no—
1079C2×C4⋊C4—111no—
1080C2×C4⋊C4—111no—
1081C2×C4⋊C4—111no—
1082C2×C4⋊C4—111no—
1083C2×C4⋊C4—111no—
1084C2×C4⋊C4—111no—
1085C2×C4⋊C4—111no—
1086C2×C4⋊C4—111no—
1087C2×C4⋊C4—111no—
1088C2×C4⋊C4—111no—
1089C2×C4⋊C4—111no—
1090C2×C4⋊C4—111no—
1091C2×C4⋊C4—111no—
1092C2×C4⋊C4—111no—
1093C2×C4⋊C4—111no—
1094C2×C4⋊C4—224no—
1095C2×C4⋊C4C22×D1111yescharacteristic
1096C2×C4⋊C4C22×D1111yescharacteristic
1097C2×C4⋊C4C22×D1111yescharacteristic
1098C2×C4⋊C4C22×D1111yescharacteristic
1099C2×C4⋊C4C22×D1111yescharacteristic
1100C2×C4⋊C4C22×D1111yescharacteristic
1101C2×C22⋊C4—24no—
1102C2×C22⋊C4—111no—
1103C2×C22⋊C4—111no—
1104C2×C22⋊C4—111no—
1105C2×C22⋊C4—111no—
1106C2×C22⋊C4—111no—
1107C2×C22⋊C4—111no—
1108C2×C22⋊C4—111no—
1109C2×C22⋊C4—111no—
1110C2×C22⋊C4—111no—
1111C2×C22⋊C4—111no—
1112C2×C22⋊C4—111no—
1113C2×C22⋊C4—111no—
1114C2×C22⋊C4—111no—
1115C2×C22⋊C4—111no—
1116C2×C22⋊C4—111no—
1117C2×C22⋊C4—111no—
1118C2×C22⋊C4—111no—
1119C2×C22⋊C4—111no—
1120C2×C22⋊C4—111no—
1121C2×C22⋊C4—111no—
1122C2×C22⋊C4—111no—
1123C2×C22⋊C4—111no—
1124C2×C22⋊C4—111no—
1125C2×C22⋊C4—111no—
1126C2×C22⋊C4—111no—
1127C2×C22⋊C4—111no—
1128C2×C22⋊C4—111no—
1129C2×C22⋊C4—111no—
1130C2×C22⋊C4—111no—
1131C2×C22⋊C4—111no—
1132C2×C22⋊C4—111no—
1133C2×C22⋊C4—111no—
1134C2×C22⋊C4—111no—
1135C2×C22⋊C4—111no—
1136C2×C22⋊C4—111no—
1137C2×C22⋊C4—111no—
1138C2×C22⋊C4—111no—
1139C2×C22⋊C4—111no—
1140C2×C22⋊C4—224no—
1141C2×C22⋊C4—442no—
1142C2×C22⋊C4C22×D1111yescharacteristic
1143C2×C22⋊C4C22×D1111yescharacteristic
1144C2×C22⋊C4C22×D1111yescharacteristic
1145C2×C22⋊C4C22×D1111yescharacteristic
1146C2×C22⋊C4C22×D1111yescharacteristic
1147C2×C22⋊C4C22×D1111yescharacteristic
1148C2×C22⋊C4C22×D1111yescharacteristic
1149C2×C22⋊C4C22×D1111yescharacteristic
1150C2×C22⋊C4C22×D1111yescharacteristic
1151C2×C22⋊C4C22×D1111yescharacteristic
1152C2×C22⋊C4C22×D1111yescharacteristic
1153C2×C22⋊C4C22×D1111yescharacteristic
1154C2×C22⋊C4C22×D1111yescharacteristic
1155C2×C22⋊C4C22×D1111yescharacteristic
1156C2×C42—111no—
1157C2×C42—111no—
1158C2×C42—111no—
1159C2×C42—111no—
1160C2×C42—111no—
1161C2×C42—111no—
1162C2×C42—111no—
1163C2×C42—111no—
1164C2×C42—111no—
1165C2×C42—111no—
1166C2×C42—111no—
1167C2×C42—111no—
1168C2×C42—111no—
1169C2×C42—442no—
1170C2×C42—442no—
1171C2×C42C22×D1111yescharacteristic
1172C2×C42C22×D1111yescharacteristic
1173#95—111no—
1174#95—111no—
1175#95—111no—
1176#95—111no—
1177#95—111no—
1178#95—111no—
1179#95—111no—
1180#95—111no—
1181#95—111no—
1182#95—111no—
1183#95—111no—
1184#95—111no—
1185#95—111no—
1186#95—111no—
1187#95—111no—
1188#95—111no—
1189#95—111no—
1190#95—111no—
1191#95—111no—
1192#95—111no—
1193#95—111no—
1194#95—111no—
1195#95—111no—
1196#95—111no—
1197#95—111no—
1198#95—111no—
1199#95—111no—
1200#95—111no—
1201#95—111no—
1202#95—111no—
1203#95—111no—
1204#95—111no—
1205C2×C11—24no—
1206C2×C11—42no—
1207C2×C11—81no—
1208C2×C11—81no—
1209C2×C11—81no—
1210C2×C11C2×#53211yescharacteristic
1211C2×C11#345511yescharacteristic
1212C2×C11#345911yescharacteristic
1213C2×C11#349611yescharacteristic
1214C2×C11#350011yescharacteristic
1215C2×C11#351311yescharacteristic
1216C2×C11#352111yescharacteristic
1217D11—81no—
1218C24—22no—
1219C24—22no—
1220C24—22no—
1221C24—41no—
1222C24—41no—
1223C24—41no—
1224C24—41no—
1225C24—111no—
1226C24C23×D1111yescharacteristic
1227C24C23×D1111yescharacteristic
1228C24C23×D1111yescharacteristic
1229C24C23×D1111yescharacteristic
1230C24C23×D1111yescharacteristic
1231C2×Q8—22no—
1232C2×Q8—41no—
1233C2×Q8—41no—
1234C2×Q8—222no—
1235C2×Q8—441no—
1236C2×Q8—441no—
1237C2×D4—22no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—22no—
1241C2×D4—22no—
1242C2×D4—22no—
1243C2×D4—22no—
1244C2×D4—22no—
1245C2×D4—22no—
1246C2×D4—22no—
1247C2×D4—41no—
1248C2×D4—41no—
1249C2×D4—41no—
1250C2×D4—41no—
1251C2×D4—41no—
1252C2×D4—41no—
1253C2×D4—41no—
1254C2×D4—41no—
1255C2×D4—41no—
1256C2×D4—41no—
1257C2×D4—222no—
1258C2×D4—222no—
1259C2×D4—222no—
1260C2×D4—222no—
1261C2×D4—222no—
1262C2×D4—222no—
1263C2×D4—222no—
1264C2×D4—441no—
1265C2×D4—441no—
1266C2×D4—441no—
1267C2×D4—441no—
1268C2×D4—441no—
1269C2×D4—441no—
1270C2×D4—441no—
1271C2×D4—441no—
1272C2×D4C2×C22⋊D1114yes—
1273C22×C4—22no—
1274C22×C4—22no—
1275C22×C4—41no—
1276C22×C4—41no—
1277C22×C4—41no—
1278C22×C4—41no—
1279C22×C4—41no—
1280C22×C4—41no—
1281C22×C4—41no—
1282C22×C4—41no—
1283C22×C4—111no—
1284C22×C4—111no—
1285C22×C4—111no—
1286C22×C4—111no—
1287C22×C4—111no—
1288C22×C4—114no—
1289C22×C4—111no—
1290C22×C4—111no—
1291C22×C4—111no—
1292C22×C4—111no—
1293C22×C4—111no—
1294C22×C4—111no—
1295C22×C4—111no—
1296C22×C4—111no—
1297C22×C4—111no—
1298C22×C4—111no—
1299C22×C4—222no—
1300C22×C4—222no—
1301C22×C4—222no—
1302C22×C4—222no—
1303C22×C4—222no—
1304C22×C4—222no—
1305C22×C4—222no—
1306C22×C4—222no—
1307C22×C4—222no—
1308C22×C4—222no—
1309C22×C4—441no—
1310C22×C4—441no—
1311C22×C4—441no—
1312C22×C4—441no—
1313C22×C4—441no—
1314C22×C4—441no—
1315C22×C4—441no—
1316C22×C4—441no—
1317C22×C4—441no—
1318C22×C4—441no—
1319C22×C4C2×C22⋊D1114yes—
1320C22×C4C2×C22⋊D1114yes—
1321C22×C4C23×D1111yescharacteristic
1322C22×C4C23×D1111yescharacteristic
1323C22×C4C23×D1111yescharacteristic
1324C22×C4C23×D1111yescharacteristic
1325C22×C4C23×D1111yescharacteristic
1326C22×C4C23×D1111yescharacteristic
1327C22×C4C23×D1111yescharacteristic
1328C22×C4C23×D1111yescharacteristic
1329C22×C4C23×D1111yescharacteristic
1330C22×C4C23×D1111yescharacteristic
1331C4⋊C4—22no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—22no—
1336C4⋊C4—222no—
1337C4⋊C4—222no—
1338C4⋊C4—222no—
1339C4⋊C4—222no—
1340C4⋊C4—222no—
1341C4⋊C4—222no—
1342C4⋊C4—222no—
1343C4⋊C4—222no—
1344C4⋊C4—222no—
1345C4⋊C4—222no—
1346C4⋊C4—222no—
1347C4⋊C4—222no—
1348C4⋊C4—222no—
1349C4⋊C4—222no—
1350C4⋊C4—222no—
1351C4⋊C4—222no—
1352C4⋊C4—222no—
1353C4⋊C4—222no—
1354C4⋊C4—441no—
1355C4⋊C4—441no—
1356C4⋊C4—441no—
1357C4⋊C4—441no—
1358C4⋊C4—441no—
1359C4⋊C4—441no—
1360C4⋊C4C2×C22⋊D1114yes—
1361C22⋊C4—22no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—22no—
1366C22⋊C4—22no—
1367C22⋊C4—22no—
1368C22⋊C4—22no—
1369C22⋊C4—22no—
1370C22⋊C4—22no—
1371C22⋊C4—22no—
1372C22⋊C4—22no—
1373C22⋊C4—114no—
1374C22⋊C4—222no—
1375C22⋊C4—222no—
1376C22⋊C4—222no—
1377C22⋊C4—222no—
1378C22⋊C4—222no—
1379C22⋊C4—222no—
1380C22⋊C4—222no—
1381C22⋊C4—222no—
1382C22⋊C4—222no—
1383C22⋊C4—222no—
1384C22⋊C4—222no—
1385C22⋊C4—222no—
1386C22⋊C4—222no—
1387C22⋊C4—222no—
1388C22⋊C4—222no—
1389C22⋊C4—222no—
1390C22⋊C4—222no—
1391C22⋊C4—222no—
1392C22⋊C4—222no—
1393C22⋊C4—222no—
1394C22⋊C4—222no—
1395C22⋊C4—222no—
1396C22⋊C4—222no—
1397C22⋊C4—222no—
1398C22⋊C4—222no—
1399C22⋊C4—441no—
1400C22⋊C4—441no—
1401C22⋊C4—441no—
1402C22⋊C4—441no—
1403C22⋊C4—441no—
1404C22⋊C4—441no—
1405C22⋊C4—441no—
1406C22⋊C4—441no—
1407C22⋊C4—441no—
1408C22⋊C4—441no—
1409C22⋊C4—441no—
1410C22⋊C4—441no—
1411C22⋊C4C2×C22⋊D1114yes—
1412C22⋊C4C2×C22⋊D1114yes—
1413C42—22no—
1414C42—222no—
1415C42—222no—
1416C42—222no—
1417C42—222no—
1418C42—222no—
1419C42—222no—
1420C42—441no—
1421C42—441no—
1422C42—441no—
1423C42—441no—
1424C42—441no—
1425C42—441no—
1426C42—441no—
1427C42C2×C22⋊D1114yes—
1428C11#3500911yescharacteristic, complemented, Sylow
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—44no—
1461C23—44no—
1462C23—44no—
1463C23—82no—
1464C23—82no—
1465C23—82no—
1466C23—82no—
1467C23—221no—
1468C23—221no—
1469C23—221no—
1470C23—221no—
1471C23—221no—
1472C23—221no—
1473C23—221no—
1474C23#41×D1112yes—
1475C23#41×D1112yes—
1476C23C22×C22⋊D1112yes—
1477C23C22×C22⋊D1112yes—
1478C23C24×D1111yescharacteristic
1479Q8—82no—
1480Q8—882no—
1481D4—28no—
1482D4—44no—
1483D4—82no—
1484D4—82no—
1485D4—82no—
1486D4—82no—
1487D4—82no—
1488D4—444no—
1489D4—444no—
1490D4—882no—
1491D4—882no—
1492D4—882no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—44no—
1519C2×C4—44no—
1520C2×C4—82no—
1521C2×C4—82no—
1522C2×C4—112no—
1523C2×C4—112no—
1524C2×C4—112no—
1525C2×C4—112no—
1526C2×C4—112no—
1527C2×C4—221no—
1528C2×C4—221no—
1529C2×C4—221no—
1530C2×C4—221no—
1531C2×C4—221no—
1532C2×C4—221no—
1533C2×C4—221no—
1534C2×C4—221no—
1535C2×C4—221no—
1536C2×C4—221no—
1537C2×C4—221no—
1538C2×C4—221no—
1539C2×C4—221no—
1540C2×C4—221no—
1541C2×C4—221no—
1542C2×C4—221no—
1543C2×C4—221no—
1544C2×C4—221no—
1545C2×C4—221no—
1546C2×C4—221no—
1547C2×C4—221no—
1548C2×C4—221no—
1549C2×C4—221no—
1550C2×C4—221no—
1551C2×C4—221no—
1552C2×C4—221no—
1553C2×C4—221no—
1554C2×C4—221no—
1555C2×C4—221no—
1556C2×C4—221no—
1557C2×C4—221no—
1558C2×C4—221no—
1559C2×C4—221no—
1560C2×C4—221no—
1561C2×C4—221no—
1562C2×C4—221no—
1563C2×C4—221no—
1564C2×C4—221no—
1565C2×C4—221no—
1566C2×C4—221no—
1567C2×C4—444no—
1568C2×C4—444no—
1569C2×C4—444no—
1570C2×C4—444no—
1571C2×C4—444no—
1572C2×C4—882no—
1573C2×C4—882no—
1574C2×C4C22×C22⋊D1112yes—
1575C2×C4C22×C22⋊D1112yes—
1576C2×C4C22×C22⋊D1112yes—
1577C2×C4C22×C22⋊D1112yes—
1578C2×C4C22×C22⋊D1112yes—
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—88no—
1614C22—441no—
1615C22—441no—
1616C22—441no—
1617C22—441no—
1618C22—441no—
1619C22—441no—
1620C22—441no—
1621C22#1062336314yes—
1622C22C2×#41×D1111yescharacteristic
1623C22C2×#41×D1111yescharacteristic
1624C22D11×H(5,𝔽2)11yescharacteristic
1625C22#1062345511yescharacteristic
1626C22#1062345511yescharacteristic
1627C22#1062345511yescharacteristic
1628C22C23×C22⋊D1111yescharacteristic
1629C4—22no—
1630C4—22no—
1631C4—22no—
1632C4—22no—
1633C4—22no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—222no—
1640C4—222no—
1641C4—222no—
1642C4—222no—
1643C4—222no—
1644C4—441no—
1645C4—441no—
1646C4—441no—
1647C4—441no—
1648C4—441no—
1649C4—441no—
1650C4—441no—
1651C4—441no—
1652C4—441no—
1653C4—441no—
1654C2—24no—
1655C2—42no—
1656C2—81no—
1657C2—81no—
1658C2—81no—
1659C2—881no—
1660C2C2×#1062336311yescharacteristic
1661C2#1308199811yescharacteristic
1662C2#1308202711yescharacteristic
1663C2#1308237511yescharacteristic
1664C2#1308240411yescharacteristic
1665C2#1308255211yescharacteristic
1666C2#1308268011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC2×C11×#538C2
hypercenterC2×#538D11
hypocenterC11#35009
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#538

Complements

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

NH ≅ G/Ntype
1. C2×#10623095C2semidirect
2. #13076986C2semidirect
3. #13076981C2semidirect
4. #13076945C2semidirect
5. #13076915C2semidirect
6. #13074778C2semidirect
7. #13074766C2semidirect
8. #13074755C2semidirect
9. #13074745C2semidirect
10. #13073758C2semidirect
11. #13073741C2semidirect
12. #13073726C2semidirect
13. #13073713C2semidirect
14. #13073624C2semidirect
15. #13073574C2semidirect
16. #13073544C2semidirect
17. #13073503C2semidirect
18. #13073316C2semidirect
19. #13073296C2semidirect
20. #13072948C2semidirect
21. #13072741C2semidirect
22. #13072627C2semidirect
23. #13072582C2semidirect
24. #13072173C2semidirect
25. #13072156C2semidirect
26. #13071281C2semidirect
27. #13071274C2semidirect
28. C4×#66992C2semidirect
29. C2×#10622558C2semidirect
30. C4×D4×Dic11C2semidirect
31. C2×C11×#538C2semidirect
59. C2×#66982C22semidirect
61. C2×C4×C22⋊D11C22semidirect
62. C2×#66977C22semidirect
65. C22×C4×Dic11C22semidirect
67. C2×#66949C22semidirect
68. C2×#66942C22semidirect
70. C2×#66936C22semidirect
71. C2×#66932C22semidirect
73. C2×#66929C22semidirect
74. C2×#66923C22semidirect
76. #10622844C22semidirect
77. #10622843C22semidirect
78. #10622843C22semidirect
79. #10622842C22semidirect
83. #10622836C22semidirect
89. #10622835C22semidirect
98. #10622833C22semidirect
99. #10622833C22semidirect
102. #10622823C22semidirect
103. #10622823C22semidirect
105. C4×C22⋊Dic11C22semidirect
106. C4×C22⋊Dic11C22semidirect
109. #10622606C22semidirect
110. #10622603C22semidirect
111. #10622603C22semidirect
112. #10622603C22semidirect
113. #10622603C22semidirect
114. #10622599C22semidirect
115. #10622599C22semidirect
116. #10622597C22semidirect
117. #10622597C22semidirect
118. #10622596C22semidirect
119. #10622593C22semidirect
120. #10622592C22semidirect
121. #10622590C22semidirect
122. C4⋊C4×Dic11C22semidirect
123. C4⋊C4×Dic11C22semidirect
124. #10622587C22semidirect
125. #10622585C22semidirect
126. #10622585C22semidirect
127. #10622585C22semidirect
128. #10622585C22semidirect
129. #10622585C22semidirect
130. #10622585C22semidirect
132. #10622574C22semidirect
134. #10622571C22semidirect
140. #10622570C22semidirect
144. #10622565C22semidirect
145. #10622565C22semidirect
151. #10622561C22semidirect
169. #10622558C22semidirect
170. #10622558C22semidirect
171. #10622558C22semidirect
172. #10622558C22semidirect
173. #10622558C22semidirect
178. #10622555C22semidirect
181. C22⋊C4×Dic11C22semidirect
182. C22⋊C4×Dic11C22semidirect
183. C4×(C2×D11)⋊C4C22semidirect
184. C4×C4⋊Dic11C22semidirect
185. #10622546C22semidirect
186. #10622546C22semidirect
187. C4×Dic11⋊C4C22semidirect
188. C42×Dic11C22semidirect
228. C4×D4×C11D4semidirect
597. C2×#538D11semidirect
1069. C4×D4C22⋊D11semidirect
1428. C11#35009semidirect

Maximal subgroups

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

subgroupindex
C2×#106230952
#130769862
#130769812
#130769452
#130769152
#130747782
#130747662
#130747552
#130747452
#130737582
#130737412
#130737262
#130737132
#130736242
#130735742
#130735442
#130735032
#130733162
#130732962
#130729482
#130727412
#130726272
#130725822
#130721732
#130721562
#130712812
#130712742
C4×#669922
C2×#106225582
C4×D4×Dic112
C2×C11×#5382
#3500911