Finite Group Databasebeta

← #14926670

Subgroups — #14926670

Order 2816.

2642 conjugacy classes of subgroups.

The subgroup lattice has 1758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623235C211yesmaximal, characteristic, complemented
2C2×#10623209C211yesmaximal, characteristic, complemented
3#13076920C211yesmaximal, characteristic, complemented
4#13076914C211yesmaximal, characteristic, complemented
5#13076899C211yesmaximal, characteristic, complemented
6#13076897C211yesmaximal, characteristic, complemented
7#13074729C211yesmaximal, characteristic, complemented
8#13074719C211yesmaximal, characteristic, complemented
9#13074355C211yesmaximal, characteristic, complemented
10#13074351C211yesmaximal, characteristic, complemented
11#13073692C211yesmaximal, characteristic, complemented
12#13073691C211yesmaximal, characteristic, complemented
13#13073687C211yesmaximal, characteristic, complemented
14#13073684C211yesmaximal, characteristic, complemented
15#13073667C211yesmaximal, characteristic, complemented
16#13073662C211yesmaximal, characteristic, complemented
17#13073659C211yesmaximal, characteristic, complemented
18#13073656C211yesmaximal, characteristic, complemented
19#13073325C211yesmaximal, characteristic, complemented
20#13073315C211yesmaximal, characteristic, complemented
21#13073313C211yesmaximal, characteristic, complemented
22#13072626C211yesmaximal, characteristic, complemented
23#13072624C211yesmaximal, characteristic, complemented
24#13072622C211yesmaximal, characteristic, complemented
25#13072620C211yesmaximal, characteristic, complemented
26#13071320C211yesmaximal, characteristic, complemented
27#13071315C211yesmaximal, characteristic, complemented
28C4×#66948C211yesmaximal, characteristic, complemented
29#13071128C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D11C211yesmaximal, characteristic, complemented
31C11×#2521C211yesmaximal, characteristic, complemented
32C23×C4×D11C2211yescharacteristic
33C2×C11×#126C2211yescharacteristic
34C2×C11×#124C2211yescharacteristic
35C2×#67000C2211yescharacteristic
36C2×#67000C2211yescharacteristic, complemented
37C2×#66999C2211yescharacteristic
38C2×#66992C2211yescharacteristic
39C2×#66992C2211yescharacteristic
40C2×#66990C2211yescharacteristic
41C2×#66983C2211yescharacteristic
42#10623235—28no—
43#10623209—28no—
44C2×#66951C2211yescharacteristic
45C2×#66949C2211yescharacteristic
46C2×#66948C2211yescharacteristic
47C2×#66948C2211yescharacteristic
48C2×#66948C2211yescharacteristic
49C2×#66948C2211yescharacteristic
50C2×#66948C2211yescharacteristic
51C2×#66947C2211yescharacteristic
52C2×#66946C2211yescharacteristic
53C2×#66939C2211yescharacteristic
54C2×#66938C2211yescharacteristic
55C2×#66938C2211yescharacteristic, complemented
56C2×#66937C2211yescharacteristic
57C2×#66937C2211yescharacteristic
58C2×#66937C2211yescharacteristic
59C2×#66937C2211yescharacteristic
60C2×#66937C2211yescharacteristic
61C2×#66937C2211yescharacteristic
62C2×#66936C2211yescharacteristic
63C2×#66936C2211yescharacteristic
64C2×#66935C2211yescharacteristic
65C2×#66935C2211yescharacteristic
66C2×#66935C2211yescharacteristic
67C2×(C22⋊D11)⋊C4C2211yescharacteristic
68C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
69C2×C22⋊C4×D11C2211yescharacteristic
70C2×C22⋊C4×D11C2211yescharacteristic
71C2×#66932C2211yescharacteristic
72C2×#66929C2211yescharacteristic
73C2×#66928C2211yescharacteristic
74C2×C4×D44C2211yescharacteristic
75C2×C4×D44C2211yescharacteristic
76C2×C4×D44C2211yescharacteristic, complemented
77C2×C42×D11C2211yescharacteristic
78C2×C42×D11C2211yescharacteristic
79C11×#399C2211yescharacteristic, complemented
80C11×#397C2211yescharacteristic
81C11×#395C2211yescharacteristic, complemented
82C11×#394C2211yescharacteristic
83C11×#391C2211yescharacteristic, complemented
84C11×#388C2211yescharacteristic, complemented
85C11×#388C2211yescharacteristic, complemented
86C11×#388C2211yescharacteristic, complemented
87C11×#387C2211yescharacteristic, complemented
88C11×#386C2211yescharacteristic
89C11×#380C2211yescharacteristic
90C4×C11×C4⋊C4C2211yescharacteristic, complemented
91C4×C11×C22⋊C4C2211yescharacteristic
92#10622842C2211yescharacteristic, complemented
93#10622836C2211yescharacteristic
94#10622826C2211yescharacteristic
95C4×C22⋊Dic11C2211yescharacteristic
96#10622606C2211yescharacteristic
97#10622605C2211yescharacteristic, complemented
98#10622605C2211yescharacteristic, complemented
99#10622605C2211yescharacteristic, complemented
100#10622604C2211yescharacteristic
101#10622603C2211yescharacteristic, complemented
102#10622603C2211yescharacteristic, complemented
103#10622602C2211yescharacteristic, complemented
104#10622601C2211yescharacteristic, complemented
105#10622600C2211yescharacteristic
106#10622600C2211yescharacteristic
107#10622600C2211yescharacteristic
108#10622598C2211yescharacteristic, complemented
109#10622596C2211yescharacteristic, complemented
110#10622594C2211yescharacteristic, complemented
111#10622592C2211yescharacteristic, complemented
112#10622592C2211yescharacteristic, complemented
113#10622590C2211yescharacteristic, complemented
114#10622585C2211yescharacteristic, complemented
115#10622574C2211yescharacteristic
116#10622574C2211yescharacteristic
117#10622573C2211yescharacteristic
118#10622573C2211yescharacteristic
119#10622573C2211yescharacteristic, complemented
120#10622573C2211yescharacteristic, complemented
121#10622573C2211yescharacteristic, complemented
122#10622572C2211yescharacteristic
123#10622572C2211yescharacteristic
124#10622571C2211yescharacteristic
125#10622571C2211yescharacteristic
126#10622571C2211yescharacteristic, complemented
127#10622570C2211yescharacteristic, complemented
128#10622570C2211yescharacteristic, complemented
129#10622569C2211yescharacteristic
130#10622569C2211yescharacteristic
131#10622569C2211yescharacteristic
132#10622569C2211yescharacteristic, complemented
133#10622565C2211yescharacteristic
134#10622563C2211yescharacteristic, complemented
135#10622558C2211yescharacteristic, complemented
136#10622555C2211yescharacteristic
137C22⋊C4×Dic11C2211yescharacteristic
138C22⋊C4×Dic11C2211yescharacteristic
139C22⋊C4×Dic11C2211yescharacteristic, complemented
140#10622553C2211yescharacteristic, complemented
141#10622553C2211yescharacteristic, complemented
142#10622553C2211yescharacteristic, complemented
143#10622552C2211yescharacteristic, complemented
144C4×(C2×D11)⋊C4C2211yescharacteristic
145C4×(C2×D11)⋊C4C2211yescharacteristic
146C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
147C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
148#10622546C2211yescharacteristic, complemented
149#10622288C2211yescharacteristic
150#10622285C2211yescharacteristic
151#10622285C2211yescharacteristic
152#10622284C2211yescharacteristic
153#10622284C2211yescharacteristic, complemented
154#10622283C2211yescharacteristic, complemented
155#10622283C2211yescharacteristic, complemented
156#10622282C2211yescharacteristic, complemented
157#10622282C2211yescharacteristic, complemented
158#10622282C2211yescharacteristic, complemented
159#10622282C2211yescharacteristic, complemented
160#10622282C2211yescharacteristic, complemented
161#10622281C2211yescharacteristic, complemented
162#10622281C2211yescharacteristic, complemented
163#10622280C2211yescharacteristic
164#10622280C2211yescharacteristic
165#10622280C2211yescharacteristic
166#10622279C2211yescharacteristic
167#10622279C2211yescharacteristic
168#10622279C2211yescharacteristic, complemented
169#10622278C2211yescharacteristic
170#10622278C2211yescharacteristic
171#10622278C2211yescharacteristic
172#10622278C2211yescharacteristic
173#10622278C2211yescharacteristic
174#10622278C2211yescharacteristic
175#10622278C2211yescharacteristic
176#10622278C2211yescharacteristic
177#10622278C2211yescharacteristic
178#10622278C2211yescharacteristic, complemented
179#10622278C2211yescharacteristic, complemented
180D11×#95C2211yescharacteristic
181D11×#95C2211yescharacteristic
182#10622274C2211yescharacteristic, complemented
183#10622270C2211yescharacteristic, complemented
184#10622270C2211yescharacteristic, complemented
185#10622268C2211yescharacteristic, complemented
186#10622263C2211yescharacteristic, complemented
187#10622262C2211yescharacteristic, complemented
188#10622259C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C22×Q8×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C22×C22⋊D11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C23×Dic11C2311yescharacteristic
202C23×Dic11C2311yescharacteristic
203C22×D44C2311yescharacteristic
204C22×D44C2311yescharacteristic
205C22×D44C2311yescharacteristic
206C22×D44C2311yescharacteristic
207C22×D44C2311yescharacteristic
208C22×D44C2311yescharacteristic
209C22×D44C2311yescharacteristic
210C22×D44C2311yescharacteristic
211C22×D44C2311yescharacteristic
212C22×C4×D11—24no—
213C22×C4×D11—42no—
214C22×C4×D11—42no—
215C22×C4×D11C2311yescharacteristic
216C22×C4×D11C2311yescharacteristic
217C22×C4×D11C2311yescharacteristic
218C22×C4×D11C2311yescharacteristic
219C22×C4×D11C2311yescharacteristic
220C22×C4×D11C2311yescharacteristic
221C22×C4×D11C2311yescharacteristic
222C22×C4×D11C2311yescharacteristic
223C22×C4×D11C2311yescharacteristic
224C22×C4×D11C2311yescharacteristic
225C22×C4×D11C2311yescharacteristic
226C22×Dic22C2311yescharacteristic
227C11×#126—24no—
228C11×#124—24no—
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×C4⋊C4C2311yescharacteristic
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×C42×C11C2311yescharacteristic
248C2×C42×C11C2311yescharacteristic
249C2×C42×C11C2311yescharacteristic
250C2×C42×C11C2311yescharacteristic
251C2×C22⋊Dic11C2311yescharacteristic
252C2×C22⋊Dic11C2311yescharacteristic
253C2×C22⋊Dic11C2311yescharacteristic
254C2×C22⋊Dic11C2311yescharacteristic
255C2×C22⋊Dic11C2311yescharacteristic
256#67000—24no—
257#67000—42no—
258#66999—24no—
259#66992—24no—
260#66992—42no—
261#66990—24no—
262#66983—42no—
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×(C2×D11)⋊C4C2311yescharacteristic
278C2×(C2×D11)⋊C4C2311yescharacteristic
279C2×(C2×D11)⋊C4C2311yescharacteristic
280C2×(C2×D11)⋊C4C2311yescharacteristic
281C2×(C2×D11)⋊C4C2311yescharacteristic
282C2×(C2×D11)⋊C4C2311yescharacteristic
283C2×(C2×D11)⋊C4C2311yescharacteristic
284C2×(C2×D11)⋊C4C2311yescharacteristic
285C2×(C2×D11)⋊C4C2311yescharacteristic
286C2×(C2×D11)⋊C4C2311yescharacteristic
287C2×(C2×D11)⋊C4C2311yescharacteristic
288C2×(C2×D11)⋊C4C2311yescharacteristic
289C2×(C2×D11)⋊C4C2311yescharacteristic
290C2×(C2×D11)⋊C4C2311yescharacteristic
291C2×(C2×D11)⋊C4C2311yescharacteristic
292C2×(C2×D11)⋊C4C2311yescharacteristic
293C2×(C2×D11)⋊C4C2311yescharacteristic
294C2×(C2×D11)⋊C4C2311yescharacteristic
295C2×(C2×D11)⋊C4C2311yescharacteristic
296C2×(C2×D11)⋊C4C2311yescharacteristic
297C2×(C2×D11)⋊C4C2311yescharacteristic
298C2×(C2×D11)⋊C4C2311yescharacteristic
299C2×C4⋊Dic11C2311yescharacteristic
300C2×C4⋊Dic11C2311yescharacteristic
301C2×C4⋊Dic11C2311yescharacteristic
302C2×C4⋊Dic11C2311yescharacteristic
303C2×C4⋊Dic11C2311yescharacteristic
304C2×Dic11⋊C4C2311yescharacteristic
305C2×Dic11⋊C4C2311yescharacteristic
306C2×Dic11⋊C4C2311yescharacteristic
307C2×Dic11⋊C4C2311yescharacteristic
308C2×Dic11⋊C4C2311yescharacteristic
309C2×Dic11⋊C4C2311yescharacteristic
310C2×Dic11⋊C4C2311yescharacteristic
311C2×Dic11⋊C4C2311yescharacteristic
312C2×Dic11⋊C4C2311yescharacteristic
313C2×Dic11⋊C4C2311yescharacteristic
314C2×Dic11⋊C4C2311yescharacteristic
315C2×Dic11⋊C4C2311yescharacteristic
316C2×C4×Dic11C2311yescharacteristic
317C2×C4×Dic11C2311yescharacteristic
318C2×C4×Dic11C2311yescharacteristic
319C2×C4×Dic11C2311yescharacteristic
320C2×C4×Dic11C2311yescharacteristic
321C2×C4×Dic11C2311yescharacteristic
322C2×C4×Dic11C2311yescharacteristic
323C2×C4×Dic11C2311yescharacteristic
324#66951—24no—
325#66949—24no—
326#66948—24no—
327#66948—24no—
328#66948—24no—
329#66948—24no—
330#66948—42no—
331#66947—24no—
332#66946—24no—
333#66939—24no—
334#66938—24no—
335#66938—42no—
336#66937—24no—
337#66937—24no—
338#66937—24no—
339#66937—24no—
340#66937—24no—
341#66937—42no—
342#66936—24no—
343#66936—24no—
344#66935—24no—
345#66935—24no—
346#66935—24no—
347(C22⋊D11)⋊C4—24no—
348(C22⋊D11)⋊C4—42no—
349C22⋊C4×D11—24no—
350C22⋊C4×D11D418yescomplemented
351#66932—24no—
352#66929—24no—
353#66928—24no—
354C4×D44—24no—
355C4×D44—24no—
356C4×D44—42no—
357C42×D11—42no—
358C42×D11—42no—
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
385C11⋊#95C2311yescharacteristic
386C11⋊#95C2311yescharacteristic
387C11⋊#95C2311yescharacteristic
388C11⋊#95C2311yescharacteristic
389C11⋊#95C2311yescharacteristic
390C11⋊#95C2311yescharacteristic
391#35003—111nomaximal, Sylow
392C24×C11C2411yescharacteristic
393C24×C11C2411yescharacteristic
394C23×D11—22no—
395C23×D11—22no—
396C23×D11—41no—
397C23×D11—41no—
398C23×D11—41no—
399C23×D11—41no—
400C23×D11C2×D414yes—
401C23×D11C2411yescharacteristic
402C23×D11C2411yescharacteristic
403C23×D11C2411yescharacteristic
404C23×D11C2411yescharacteristic
405C23×D11C2411yescharacteristic
406C2×Q8×C11—22no—
407C2×Q8×C11—41no—
408C2×Q8×C11—41no—
409C2×D4×C11—22no—
410C2×D4×C11—41no—
411C2×D4×C11—41no—
412C22×C4×C11—22no—
413C22×C4×C11—22no—
414C22×C4×C11—41no—
415C22×C4×C11C2411yescharacteristic
416C22×C4×C11C2411yescharacteristic
417C22×C4×C11C2411yescharacteristic
418C22×C4×C11C2411yescharacteristic
419C22×C4×C11C2411yescharacteristic
420C22×C4×C11C2411yescharacteristic
421C22×C4×C11C2411yescharacteristic
422C22×C4×C11C2411yescharacteristic
423C22×C4×C11C2411yescharacteristic
424C22×C4×C11C2411yescharacteristic
425C22×C4×C11C2411yescharacteristic
426C22×C4×C11C2411yescharacteristic
427C22×C4×C11C2411yescharacteristic
428C2×C22⋊D11—22no—
429C2×C22⋊D11—22no—
430C2×C22⋊D11—22no—
431C2×C22⋊D11—22no—
432C2×C22⋊D11—22no—
433C2×C22⋊D11—22no—
434C2×C22⋊D11—22no—
435C2×C22⋊D11—22no—
436C2×C22⋊D11—22no—
437C2×C22⋊D11—22no—
438C2×C22⋊D11—41no—
439C2×C22⋊D11—41no—
440C2×C22⋊D11—41no—
441C2×C22⋊D11—41no—
442C2×C22⋊D11—41no—
443C2×C22⋊D11—41no—
444C2×C22⋊D11—41no—
445C2×C22⋊D11—41no—
446C2×C22⋊D11—41no—
447C2×C22⋊D11—41no—
448C2×C22⋊D11—41no—
449C2×C22⋊D11—41no—
450C2×C22⋊D11—41no—
451C2×C22⋊D11—41no—
452C22×Dic11—22no—
453C22×Dic11—22no—
454C22×Dic11—22no—
455C22×Dic11—41no—
456C22×Dic11—41no—
457C22×Dic11—41no—
458C22×Dic11C2411yescharacteristic
459C22×Dic11C2411yescharacteristic
460C22×Dic11C2411yescharacteristic
461C22×Dic11C2411yescharacteristic
462C22×Dic11C2411yescharacteristic
463C22×Dic11C2411yescharacteristic
464C22×Dic11C2411yescharacteristic
465C22×Dic11C2411yescharacteristic
466C22×Dic11C2411yescharacteristic
467C22×Dic11C2411yescharacteristic
468C22×Dic11C2411yescharacteristic
469C2×D44—22no—
470C2×D44—22no—
471C2×D44—22no—
472C2×D44—22no—
473C2×D44—22no—
474C2×D44—22no—
475C2×D44—22no—
476C2×D44—22no—
477C2×D44—22no—
478C2×D44—22no—
479C2×D44—22no—
480C2×D44—22no—
481C2×D44—22no—
482C2×D44—22no—
483C2×D44—22no—
484C2×D44—41no—
485C2×D44—41no—
486C2×D44—41no—
487C2×D44—41no—
488C2×D44—41no—
489C2×D44—41no—
490C2×D44—41no—
491C2×D44—41no—
492C2×D44—41no—
493C2×D44—41no—
494C2×D44—41no—
495C2×D44—41no—
496C2×C4×D11—22no—
497C2×C4×D11—22no—
498C2×C4×D11—22no—
499C2×C4×D11—22no—
500C2×C4×D11—22no—
501C2×C4×D11—22no—
502C2×C4×D11—22no—
503C2×C4×D11—22no—
504C2×C4×D11—22no—
505C2×C4×D11—22no—
506C2×C4×D11—22no—
507C2×C4×D11—41no—
508C2×C4×D11—41no—
509C2×C4×D11—41no—
510C2×C4×D11—41no—
511C2×C4×D11—41no—
512C2×C4×D11—41no—
513C2×C4×D11—41no—
514C2×C4×D11—41no—
515C2×C4×D11—41no—
516C2×C4×D11—41no—
517C2×C4×D11—41no—
518C2×C4×D11—41no—
519C2×C4×D11—41no—
520C2×C4×D11—41no—
521C2×C4×D11—41no—
522C2×C4×D11—41no—
523C2×C4×D11—41no—
524C2×C4×D11—41no—
525C2×C4×D11—416no—
526C2×C4×D11C2×D414yes—
527C2×C4×D11C2×D414yes—
528C2×C4×D11#4114yes—
529C2×C4×D11#4114yes—
530C2×Dic22—22no—
531C2×Dic22—41no—
532C2×Dic22—41no—
533C11×C4⋊C4—22no—
534C11×C4⋊C4—22no—
535C11×C4⋊C4—22no—
536C11×C4⋊C4—22no—
537C11×C4⋊C4—22no—
538C11×C4⋊C4—41no—
539C11×C4⋊C4—41no—
540C11×C22⋊C4—22no—
541C11×C22⋊C4—22no—
542C11×C22⋊C4—22no—
543C11×C22⋊C4—22no—
544C11×C22⋊C4—22no—
545C11×C22⋊C4—22no—
546C11×C22⋊C4—22no—
547C11×C22⋊C4—22no—
548C11×C22⋊C4—22no—
549C11×C22⋊C4—41no—
550C11×C22⋊C4C2×D414yes—
551C42×C11—22no—
552C42×C11—22no—
553C42×C11—22no—
554C42×C11—41no—
555C22⋊Dic11—22no—
556C22⋊Dic11—22no—
557C22⋊Dic11—22no—
558C22⋊Dic11—41no—
559C22⋊Dic11C2×D414yes—
560(C2×D11)⋊C4—22no—
561(C2×D11)⋊C4—22no—
562(C2×D11)⋊C4—22no—
563(C2×D11)⋊C4—22no—
564(C2×D11)⋊C4—22no—
565(C2×D11)⋊C4—22no—
566(C2×D11)⋊C4—22no—
567(C2×D11)⋊C4—22no—
568(C2×D11)⋊C4—22no—
569(C2×D11)⋊C4—22no—
570(C2×D11)⋊C4—22no—
571(C2×D11)⋊C4—22no—
572(C2×D11)⋊C4—22no—
573(C2×D11)⋊C4—22no—
574(C2×D11)⋊C4—22no—
575(C2×D11)⋊C4—22no—
576(C2×D11)⋊C4—22no—
577(C2×D11)⋊C4—22no—
578(C2×D11)⋊C4—22no—
579(C2×D11)⋊C4—22no—
580(C2×D11)⋊C4—22no—
581(C2×D11)⋊C4—22no—
582(C2×D11)⋊C4—22no—
583(C2×D11)⋊C4—22no—
584(C2×D11)⋊C4—22no—
585(C2×D11)⋊C4—22no—
586(C2×D11)⋊C4—22no—
587(C2×D11)⋊C4—22no—
588(C2×D11)⋊C4—41no—
589(C2×D11)⋊C4—41no—
590(C2×D11)⋊C4—41no—
591(C2×D11)⋊C4—41no—
592(C2×D11)⋊C4—41no—
593(C2×D11)⋊C4—41no—
594(C2×D11)⋊C4C2×D414yes—
595(C2×D11)⋊C4C2×D414yes—
596C4⋊Dic11—22no—
597C4⋊Dic11—22no—
598C4⋊Dic11—22no—
599C4⋊Dic11—41no—
600C4⋊Dic11—41no—
601Dic11⋊C4—22no—
602Dic11⋊C4—22no—
603Dic11⋊C4—22no—
604Dic11⋊C4—22no—
605Dic11⋊C4—22no—
606Dic11⋊C4—22no—
607Dic11⋊C4—22no—
608Dic11⋊C4—22no—
609Dic11⋊C4—41no—
610Dic11⋊C4—41no—
611Dic11⋊C4—41no—
612Dic11⋊C4—41no—
613C4×Dic11—22no—
614C4×Dic11—22no—
615C4×Dic11—22no—
616C4×Dic11—22no—
617C4×Dic11—22no—
618C4×Dic11—41no—
619C4×Dic11—41no—
620C4×Dic11—41no—
621C2×#538—111no—
622C2×#538—111no—
623#2850—111no—
624#2850—111no—
625#2847—111no—
626#2847—111no—
627#2659—111no—
628#2656—111no—
629#2617—111no—
630#2617—111no—
631#2555—111no—
632#2555—111no—
633#2555—111no—
634#2555—111no—
635#2553—111no—
636#2553—111no—
637#2553—111no—
638#2553—111no—
639#2521—111no—
640#2521—111no—
641#2521—111no—
642#2521D1111yescharacteristic, complemented
643#2464—111no—
644#2464—111no—
645#2464—111no—
646#2464—111no—
647#2325—111no—
648#2325—111no—
649C4×#121—111no—
650C4×#121—111no—
651C2×C4×C22⋊C4—111no—
652C23×C11—21no—
653C23×C11—21no—
654C23×C11—21no—
655C23×C11—21no—
656C23×C11—21no—
657C23×C11—21no—
658C23×C11—21no—
659C23×C11—21no—
660C23×C11—21no—
661C23×C11—21no—
662C23×C11—21no—
663C23×C11—21no—
664C23×C11—21no—
665C23×C11C22×D412yes—
666C23×C11C2511yescharacteristic
667C22×D11—21no—
668C22×D11—21no—
669C22×D11—21no—
670C22×D11—21no—
671C22×D11—21no—
672C22×D11—21no—
673C22×D11—21no—
674C22×D11—21no—
675C22×D11—21no—
676C22×D11—21no—
677C22×D11—28no—
678C22×D11—21no—
679C22×D11—21no—
680C22×D11—21no—
681C22×D11—21no—
682C22×D11—21no—
683C22×D11—21no—
684C22×D11—21no—
685C22×D11—21no—
686C22×D11—21no—
687C22×D11—21no—
688C22×D11—21no—
689C22×D11—21no—
690C22×D11—21no—
691C22×D11—21no—
692C22×D11—21no—
693C22×D11—21no—
694C22×D11—21no—
695C22×D11—21no—
696C22×D11—21no—
697C22×D11—21no—
698C22×D11—21no—
699C22×D11—44no—
700C22×D11—44no—
701C22×D11—44no—
702C22×D11—44no—
703C22×D11—44no—
704C22×D11—44no—
705C22×D11C22×D412yes—
706C22×D11C22×D412yes—
707C22×D11C2×#4112yes—
708C22×D11C2×#4112yes—
709Q8×C11—82no—
710D4×C11—82no—
711C2×C4×C11—21no—
712C2×C4×C11—21no—
713C2×C4×C11—21no—
714C2×C4×C11—21no—
715C2×C4×C11—21no—
716C2×C4×C11—21no—
717C2×C4×C11—21no—
718C2×C4×C11—21no—
719C2×C4×C11—21no—
720C2×C4×C11—21no—
721C2×C4×C11—21no—
722C2×C4×C11—21no—
723C2×C4×C11—21no—
724C2×C4×C11—21no—
725C2×C4×C11—21no—
726C2×C4×C11—21no—
727C2×C4×C11—21no—
728C2×C4×C11—21no—
729C2×C4×C11—21no—
730C2×C4×C11—21no—
731C2×C4×C11—21no—
732C2×C4×C11—21no—
733C2×C4×C11—21no—
734C2×C4×C11—21no—
735C2×C4×C11—21no—
736C2×C4×C11—21no—
737C2×C4×C11—21no—
738C2×C4×C11—21no—
739C2×C4×C11—21no—
740C2×C4×C11—21no—
741C2×C4×C11—21no—
742C2×C4×C11—21no—
743C2×C4×C11—21no—
744C2×C4×C11—21no—
745C2×C4×C11—44no—
746C2×C4×C11C22×D412yes—
747C2×C4×C11C22×D412yes—
748C2×C4×C11C2×#4112yes—
749C2×C4×C11C2×#4112yes—
750C2×C4×C11H(5,𝔽2)12yes—
751C22⋊D11—44no—
752C22⋊D11—44no—
753C22⋊D11—82no—
754C22⋊D11—82no—
755C22⋊D11—82no—
756C22⋊D11—82no—
757C22⋊D11—82no—
758C22⋊D11—82no—
759C2×Dic11—21no—
760C2×Dic11—21no—
761C2×Dic11—21no—
762C2×Dic11—21no—
763C2×Dic11—21no—
764C2×Dic11—21no—
765C2×Dic11—21no—
766C2×Dic11—21no—
767C2×Dic11—21no—
768C2×Dic11—21no—
769C2×Dic11—21no—
770C2×Dic11—21no—
771C2×Dic11—21no—
772C2×Dic11—21no—
773C2×Dic11—21no—
774C2×Dic11—21no—
775C2×Dic11—21no—
776C2×Dic11—21no—
777C2×Dic11—21no—
778C2×Dic11—21no—
779C2×Dic11—21no—
780C2×Dic11—21no—
781C2×Dic11—21no—
782C2×Dic11—21no—
783C2×Dic11—21no—
784C2×Dic11—21no—
785C2×Dic11—21no—
786C2×Dic11—21no—
787C2×Dic11—44no—
788C2×Dic11—82no—
789C2×Dic11C22×D412yes—
790C2×Dic11C22×D412yes—
791C2×Dic11C2×#4112yes—
792C2×Dic11C2×#4112yes—
793C2×Dic11H(5,𝔽2)12yes—
794D44—44no—
795D44—44no—
796D44—44no—
797D44—44no—
798D44—82no—
799D44—82no—
800D44—82no—
801D44—82no—
802D44—82no—
803C4×D11—28no—
804C4×D11—44no—
805C4×D11—44no—
806C4×D11—44no—
807C4×D11—44no—
808C4×D11—44no—
809C4×D11—44no—
810C4×D11—44no—
811C4×D11—82no—
812C4×D11—82no—
813C4×D11—82no—
814Dic22—82no—
815C24×C4—111no—
816#538—228no—
817#538—228no—
818C2×#126—111no—
819C2×#126—111no—
820C2×#126—111no—
821C2×#126C2×D1111yescharacteristic
822C2×#124—111no—
823C2×#124—111no—
824C2×#124—111no—
825C2×#124—111no—
826C2×#124—111no—
827C2×#124C2×D1111yescharacteristic
828C2×#123—111no—
829C2×#123—111no—
830C2×#123—111no—
831C2×#123—111no—
832C2×C22⋊Q8—111no—
833C2×C22⋊Q8—111no—
834C2×#121—111no—
835C2×#121—111no—
836C2×#121—111no—
837C2×#121—111no—
838C2×#121—111no—
839C2×#121—111no—
840C2×#121—111no—
841C2×#121—111no—
842C2×#121—111no—
843C2×#121—111no—
844C2×#121—111no—
845C2×#121—111no—
846C2×#121—111no—
847C2×#121—111no—
848C2×#120—111no—
849C2×#120—111no—
850C2×#120—111no—
851C2×#120—111no—
852C2×C4×D4—111no—
853C2×C4×D4—111no—
854C2×C4×D4—111no—
855C2×C4×D4—111no—
856C2×C4×D4—111no—
857C2×C4×D4—111no—
858C22×C22⋊C4—111no—
859C22×C22⋊C4—111no—
860C22×C42—111no—
861C22×C42—111no—
862#399—111no—
863#399—111no—
864#399—111no—
865#399C2×D1111yescharacteristic, complemented
866#398—111no—
867#398—111no—
868#398—111no—
869#398—111no—
870#397—111no—
871#397—111no—
872#397—111no—
873#397C2×D1111yescharacteristic
874#395—111no—
875#395—111no—
876#395—111no—
877#395C2×D1111yescharacteristic, complemented
878#394—111no—
879#394—111no—
880#394—111no—
881#394—111no—
882#394—111no—
883#394—111no—
884#394—111no—
885#394C2×D1111yescharacteristic
886#392—111no—
887#392—111no—
888#392—111no—
889#392—111no—
890#392—111no—
891#392—111no—
892#392—111no—
893#392—111no—
894#391—111no—
895#391C2×D1111yescharacteristic, complemented
896#390—111no—
897#390—111no—
898#390—111no—
899#390—111no—
900#389—111no—
901#389—111no—
902#388—111no—
903#388—111no—
904#388—111no—
905#388—111no—
906#388—111no—
907#388—111no—
908#388—111no—
909#388—111no—
910#388—111no—
911#388—111no—
912#388—111no—
913#388—111no—
914#388—111no—
915#388C2×D1111yescharacteristic, complemented
916#388C2×D1111yescharacteristic, complemented
917#388C2×D1111yescharacteristic, complemented
918#387—111no—
919#387—111no—
920#387—111no—
921#387C2×D1111yescharacteristic, complemented
922#386—111no—
923#386—111no—
924#386—111no—
925#386—111no—
926#386—111no—
927#386—111no—
928#386—111no—
929#386—111no—
930#386—111no—
931#386—111no—
932#386—111no—
933#386—111no—
934#386—111no—
935#386—111no—
936#386—111no—
937#386—111no—
938#386—111no—
939#386—111no—
940#386—111no—
941#386C2×D1111yescharacteristic
942#385—111no—
943#385—111no—
944#385—111no—
945#385—111no—
946#382—111no—
947#382—111no—
948#380—111no—
949#380—111no—
950#380—111no—
951#380—111no—
952#380—111no—
953#380—111no—
954#380—111no—
955#380C2×D1111yescharacteristic
956C4×C4⋊C4—111no—
957C4×C4⋊C4C2×D1111yescharacteristic, complemented
958C4×C22⋊C4—111no—
959C4×C22⋊C4—111no—
960C4×C22⋊C4—111no—
961C4×C22⋊C4—111no—
962C4×C22⋊C4—111no—
963C4×C22⋊C4—111no—
964C4×C22⋊C4—111no—
965C4×C22⋊C4—111no—
966C4×C22⋊C4—111no—
967C4×C22⋊C4—111no—
968C4×C22⋊C4—111no—
969C4×C22⋊C4C2×D1111yescharacteristic
970C2×#95—111no—
971C2×#95—111no—
972C22×C11—22no—
973C22×C11—22no—
974C22×C11—22no—
975C22×C11—41no—
976C22×C11—41no—
977C22×C11—41no—
978C22×C11—41no—
979C22×C11—41no—
980C22×C11—41no—
981C22×C11—41no—
982C22×C11—41no—
983C22×C11—41no—
984C22×C11—41no—
985C22×C11—41no—
986C22×C11C23×D411yescharacteristic
987C22×C11C22×#4111yescharacteristic
988C22×C11C22×#4111yescharacteristic
989C22×C11C2×H(5,𝔽2)11yescharacteristic
990C22×C11C2×H(5,𝔽2)11yescharacteristic
991C22×C11#58511yescharacteristic
992C22×C11#58511yescharacteristic
993C2×D11—22no—
994C2×D11—22no—
995C2×D11—22no—
996C2×D11—22no—
997C2×D11—22no—
998C2×D11—22no—
999C2×D11—22no—
1000C2×D11—22no—
1001C2×D11—22no—
1002C2×D11—416no—
1003C2×D11—41no—
1004C2×D11—41no—
1005C2×D11—41no—
1006C2×D11—41no—
1007C2×D11—41no—
1008C2×D11—41no—
1009C2×D11—41no—
1010C2×D11—41no—
1011C2×D11—41no—
1012C2×D11—41no—
1013C2×D11—41no—
1014C2×D11—41no—
1015C2×D11—41no—
1016C2×D11—41no—
1017C2×D11—41no—
1018C2×D11—41no—
1019C2×D11—41no—
1020C2×D11—41no—
1021C2×D11—41no—
1022C2×D11—41no—
1023C2×D11—41no—
1024C2×D11—41no—
1025C2×D11—41no—
1026C2×D11—41no—
1027C2×D11—41no—
1028C2×D11#53214yes—
1029C4×C11—22no—
1030C4×C11—22no—
1031C4×C11—22no—
1032C4×C11—22no—
1033C4×C11—22no—
1034C4×C11—41no—
1035C4×C11—41no—
1036C4×C11—41no—
1037C4×C11—41no—
1038C4×C11—41no—
1039C4×C11—41no—
1040C4×C11—41no—
1041C4×C11—41no—
1042Dic11—22no—
1043Dic11—22no—
1044Dic11—22no—
1045Dic11—22no—
1046Dic11—22no—
1047Dic11—41no—
1048Dic11—41no—
1049Dic11—41no—
1050Dic11—41no—
1051Dic11—41no—
1052Dic11—41no—
1053C25—111no—
1054C22×Q8—111no—
1055C22×Q8C22×D1111yescharacteristic
1056C22×D4—111no—
1057C22×D4—111no—
1058C22×D4—111no—
1059C22×D4—111no—
1060C22×D4—111no—
1061C22×D4—111no—
1062C22×D4—111no—
1063C22×D4—111no—
1064C22×D4—111no—
1065C22×D4—111no—
1066C22×D4—111no—
1067C22×D4—111no—
1068C22×D4—111no—
1069C22×D4—111no—
1070C22×D4—111no—
1071C22×D4—111no—
1072C22×D4—111no—
1073C22×D4C22×D1111yescharacteristic
1074C23×C4—111no—
1075C23×C4—111no—
1076C23×C4—111no—
1077C23×C4—111no—
1078C23×C4—111no—
1079C23×C4—111no—
1080C23×C4—111no—
1081C23×C4—111no—
1082C23×C4—111no—
1083C23×C4—111no—
1084C23×C4—111no—
1085C23×C4—111no—
1086C23×C4—111no—
1087C23×C4—224no—
1088C23×C4—442no—
1089C23×C4—442no—
1090C23×C4C22×D1111yescharacteristic
1091#126—24no—
1092#126—224no—
1093#126—224no—
1094#126—224no—
1095#124—24no—
1096#124—224no—
1097#124—224no—
1098#124—224no—
1099#124—442no—
1100#124—442no—
1101#123—224no—
1102#123—224no—
1103#123—224no—
1104#123—224no—
1105C22⋊Q8—224no—
1106C22⋊Q8—224no—
1107#121—224no—
1108#121—224no—
1109#121—224no—
1110#121—224no—
1111#121—224no—
1112#121—224no—
1113#121—224no—
1114#121—224no—
1115#121—224no—
1116#121—224no—
1117#121—442no—
1118#121—442no—
1119#121—442no—
1120#121—442no—
1121#120—224no—
1122#120—224no—
1123#120—224no—
1124#120—224no—
1125C4×D4—224no—
1126C4×D4—224no—
1127C4×D4—224no—
1128C4×D4—224no—
1129C4×D4—442no—
1130C4×D4—442no—
1131C2×C4⋊C4—111no—
1132C2×C4⋊C4—111no—
1133C2×C4⋊C4—111no—
1134C2×C4⋊C4—111no—
1135C2×C4⋊C4—111no—
1136C2×C4⋊C4—111no—
1137C2×C4⋊C4—111no—
1138C2×C4⋊C4—111no—
1139C2×C4⋊C4—111no—
1140C2×C4⋊C4—111no—
1141C2×C4⋊C4—111no—
1142C2×C4⋊C4—111no—
1143C2×C4⋊C4—111no—
1144C2×C4⋊C4—111no—
1145C2×C4⋊C4—111no—
1146C2×C4⋊C4—111no—
1147C2×C4⋊C4—111no—
1148C2×C4⋊C4C22×D1111yescharacteristic
1149C2×C4⋊C4C22×D1111yescharacteristic
1150C2×C4⋊C4C22×D1111yescharacteristic
1151C2×C4⋊C4C22×D1111yescharacteristic
1152C2×C4⋊C4C22×D1111yescharacteristic
1153C2×C4⋊C4C22×D1111yescharacteristic
1154C2×C4⋊C4C22×D1111yescharacteristic
1155C2×C22⋊C4—111no—
1156C2×C22⋊C4—111no—
1157C2×C22⋊C4—111no—
1158C2×C22⋊C4—118no—
1159C2×C22⋊C4—111no—
1160C2×C22⋊C4—111no—
1161C2×C22⋊C4—111no—
1162C2×C22⋊C4—111no—
1163C2×C22⋊C4—111no—
1164C2×C22⋊C4—111no—
1165C2×C22⋊C4—111no—
1166C2×C22⋊C4—111no—
1167C2×C22⋊C4—111no—
1168C2×C22⋊C4—111no—
1169C2×C22⋊C4—111no—
1170C2×C22⋊C4—111no—
1171C2×C22⋊C4—111no—
1172C2×C22⋊C4—111no—
1173C2×C22⋊C4—111no—
1174C2×C22⋊C4—111no—
1175C2×C22⋊C4—111no—
1176C2×C22⋊C4—111no—
1177C2×C22⋊C4—111no—
1178C2×C22⋊C4—111no—
1179C2×C22⋊C4—111no—
1180C2×C22⋊C4—111no—
1181C2×C22⋊C4—111no—
1182C2×C22⋊C4—111no—
1183C2×C22⋊C4—111no—
1184C2×C22⋊C4—111no—
1185C2×C22⋊C4—111no—
1186C2×C22⋊C4—111no—
1187C2×C22⋊C4—111no—
1188C2×C22⋊C4—111no—
1189C2×C22⋊C4—111no—
1190C2×C22⋊C4—111no—
1191C2×C22⋊C4—111no—
1192C2×C22⋊C4—111no—
1193C2×C22⋊C4—111no—
1194C2×C22⋊C4—111no—
1195C2×C22⋊C4—111no—
1196C2×C22⋊C4—111no—
1197C2×C22⋊C4—224no—
1198C2×C22⋊C4C22×D1111yescharacteristic
1199C2×C22⋊C4C22×D1111yescharacteristic
1200C2×C22⋊C4C22×D1111yescharacteristic
1201C2×C22⋊C4C22×D1111yescharacteristic
1202C2×C22⋊C4C22×D1111yescharacteristic
1203C2×C22⋊C4C22×D1111yescharacteristic
1204C2×C22⋊C4C22×D1111yescharacteristic
1205C2×C22⋊C4C22×D1111yescharacteristic
1206C2×C22⋊C4C22×D1111yescharacteristic
1207C2×C22⋊C4C22×D1111yescharacteristic
1208C2×C22⋊C4C22×D1111yescharacteristic
1209C2×C42—111no—
1210C2×C42—111no—
1211C2×C42—111no—
1212C2×C42—111no—
1213C2×C42—111no—
1214C2×C42—111no—
1215C2×C42—111no—
1216C2×C42—111no—
1217C2×C42—442no—
1218C2×C42—442no—
1219C2×C42C22×D1111yescharacteristic
1220C2×C42C22×D1111yescharacteristic
1221C2×C42C22×D1111yescharacteristic
1222C2×C42C22×D1111yescharacteristic
1223#95—111no—
1224#95—111no—
1225#95—111no—
1226#95—111no—
1227#95—111no—
1228#95—111no—
1229#95—111no—
1230#95—111no—
1231#95—111no—
1232#95—111no—
1233#95—111no—
1234#95—111no—
1235#95—111no—
1236#95—111no—
1237#95—111no—
1238#95—111no—
1239#95—111no—
1240#95—111no—
1241#95—111no—
1242#95—111no—
1243#95—111no—
1244#95—111no—
1245#95C22×D1111yescharacteristic
1246#95C22×D1111yescharacteristic
1247#95C22×D1111yescharacteristic
1248#95C22×D1111yescharacteristic
1249#95C22×D1111yescharacteristic
1250#95C22×D1111yescharacteristic
1251#95C22×D1111yescharacteristic
1252#95C22×D1111yescharacteristic
1253#95C22×D1111yescharacteristic
1254#95C22×D1111yescharacteristic
1255C2×C11—42no—
1256C2×C11—81no—
1257C2×C11C2×#53211yescharacteristic
1258C2×C11#345911yescharacteristic
1259C2×C11#346011yescharacteristic
1260C2×C11#349011yescharacteristic
1261C2×C11#349311yescharacteristic
1262C2×C11#349611yescharacteristic
1263C2×C11#349611yescharacteristic
1264D11—24no—
1265D11—42no—
1266D11—81no—
1267D11—81no—
1268D11—81no—
1269C24—111no—
1270C24—111no—
1271C24—114no—
1272C24—111no—
1273C24—111no—
1274C24—111no—
1275C24—222no—
1276C24—222no—
1277C24—441no—
1278C24—441no—
1279C24—441no—
1280C24—441no—
1281C24C23×D1111yescharacteristic
1282C24C23×D1111yescharacteristic
1283C2×Q8—22no—
1284C2×Q8—41no—
1285C2×Q8—41no—
1286C2×Q8—222no—
1287C2×Q8—441no—
1288C2×Q8—441no—
1289C2×D4—22no—
1290C2×D4—41no—
1291C2×D4—41no—
1292C2×D4—222no—
1293C2×D4—222no—
1294C2×D4—222no—
1295C2×D4—222no—
1296C2×D4—222no—
1297C2×D4—222no—
1298C2×D4—222no—
1299C2×D4—222no—
1300C2×D4—222no—
1301C2×D4—222no—
1302C2×D4—222no—
1303C2×D4—222no—
1304C2×D4—222no—
1305C2×D4—222no—
1306C2×D4—222no—
1307C2×D4—222no—
1308C2×D4—222no—
1309C2×D4—222no—
1310C2×D4—222no—
1311C2×D4—222no—
1312C2×D4—222no—
1313C2×D4—222no—
1314C2×D4—222no—
1315C2×D4—222no—
1316C2×D4—222no—
1317C2×D4—441no—
1318C2×D4—441no—
1319C2×D4—441no—
1320C2×D4—441no—
1321C2×D4—441no—
1322C2×D4—441no—
1323C2×D4—441no—
1324C2×D4—441no—
1325C2×D4—441no—
1326C2×D4—441no—
1327C2×D4—441no—
1328C2×D4—441no—
1329C2×D4—441no—
1330C2×D4—441no—
1331C2×D4—441no—
1332C2×D4—441no—
1333C2×D4—441no—
1334C2×D4—441no—
1335C2×D4—441no—
1336C2×D4—441no—
1337C2×D4—441no—
1338C2×D4—441no—
1339C2×D4—441no—
1340C2×D4—441no—
1341C2×D4—441no—
1342C2×D4—441no—
1343C22×C4—22no—
1344C22×C4—22no—
1345C22×C4—41no—
1346C22×C4—111no—
1347C22×C4—111no—
1348C22×C4—111no—
1349C22×C4—111no—
1350C22×C4—111no—
1351C22×C4—114no—
1352C22×C4—114no—
1353C22×C4—114no—
1354C22×C4—114no—
1355C22×C4—111no—
1356C22×C4—111no—
1357C22×C4—111no—
1358C22×C4—111no—
1359C22×C4—111no—
1360C22×C4—111no—
1361C22×C4—222no—
1362C22×C4—222no—
1363C22×C4—222no—
1364C22×C4—222no—
1365C22×C4—222no—
1366C22×C4—222no—
1367C22×C4—222no—
1368C22×C4—222no—
1369C22×C4—222no—
1370C22×C4—222no—
1371C22×C4—222no—
1372C22×C4—222no—
1373C22×C4—222no—
1374C22×C4—222no—
1375C22×C4—441no—
1376C22×C4—441no—
1377C22×C4—441no—
1378C22×C4—441no—
1379C22×C4—441no—
1380C22×C4—441no—
1381C22×C4—441no—
1382C22×C4—441no—
1383C22×C4—441no—
1384C22×C4—441no—
1385C22×C4—441no—
1386C22×C4—441no—
1387C22×C4—441no—
1388C22×C4—441no—
1389C22×C4—441no—
1390C22×C4—441no—
1391C22×C4—441no—
1392C22×C4—441no—
1393C22×C4—4416no—
1394C22×C4—441no—
1395C22×C4—441no—
1396C22×C4—441no—
1397C22×C4C23×D1111yescharacteristic
1398C22×C4C23×D1111yescharacteristic
1399C22×C4C23×D1111yescharacteristic
1400C22×C4C23×D1111yescharacteristic
1401C22×C4C23×D1111yescharacteristic
1402C22×C4C23×D1111yescharacteristic
1403C22×C4C23×D1111yescharacteristic
1404C22×C4C23×D1111yescharacteristic
1405C22×C4C23×D1111yescharacteristic
1406C22×C4C23×D1111yescharacteristic
1407C22×C4C23×D1111yescharacteristic
1408C22×C4C23×D1111yescharacteristic
1409C22×C4C23×D1111yescharacteristic
1410C4⋊C4—22no—
1411C4⋊C4—22no—
1412C4⋊C4—22no—
1413C4⋊C4—22no—
1414C4⋊C4—22no—
1415C4⋊C4—41no—
1416C4⋊C4—41no—
1417C4⋊C4—222no—
1418C4⋊C4—222no—
1419C4⋊C4—222no—
1420C4⋊C4—222no—
1421C4⋊C4—222no—
1422C4⋊C4—222no—
1423C4⋊C4—222no—
1424C4⋊C4—222no—
1425C4⋊C4—222no—
1426C4⋊C4—222no—
1427C4⋊C4—222no—
1428C4⋊C4—441no—
1429C4⋊C4—441no—
1430C4⋊C4—441no—
1431C4⋊C4—441no—
1432C4⋊C4—441no—
1433C4⋊C4—441no—
1434C22⋊C4—22no—
1435C22⋊C4—22no—
1436C22⋊C4—22no—
1437C22⋊C4—22no—
1438C22⋊C4—22no—
1439C22⋊C4—22no—
1440C22⋊C4—22no—
1441C22⋊C4—22no—
1442C22⋊C4—22no—
1443C22⋊C4—41no—
1444C22⋊C4—114no—
1445C22⋊C4—114no—
1446C22⋊C4—114no—
1447C22⋊C4—222no—
1448C22⋊C4—222no—
1449C22⋊C4—222no—
1450C22⋊C4—222no—
1451C22⋊C4—222no—
1452C22⋊C4—222no—
1453C22⋊C4—222no—
1454C22⋊C4—222no—
1455C22⋊C4—222no—
1456C22⋊C4—222no—
1457C22⋊C4—222no—
1458C22⋊C4—222no—
1459C22⋊C4—222no—
1460C22⋊C4—222no—
1461C22⋊C4—222no—
1462C22⋊C4—222no—
1463C22⋊C4—222no—
1464C22⋊C4—222no—
1465C22⋊C4—222no—
1466C22⋊C4—222no—
1467C22⋊C4—222no—
1468C22⋊C4—222no—
1469C22⋊C4—222no—
1470C22⋊C4—222no—
1471C22⋊C4—222no—
1472C22⋊C4—222no—
1473C22⋊C4—222no—
1474C22⋊C4—222no—
1475C22⋊C4—222no—
1476C22⋊C4—222no—
1477C22⋊C4—222no—
1478C22⋊C4—441no—
1479C22⋊C4—441no—
1480C22⋊C4—441no—
1481C22⋊C4—441no—
1482C22⋊C4—441no—
1483C22⋊C4—441no—
1484C22⋊C4—441no—
1485C22⋊C4D4×D1114yes—
1486C42—22no—
1487C42—22no—
1488C42—22no—
1489C42—41no—
1490C42—222no—
1491C42—222no—
1492C42—222no—
1493C42—222no—
1494C42—222no—
1495C42—441no—
1496C42—441no—
1497C42—441no—
1498C11#3500311yescharacteristic, complemented, Sylow
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—112no—
1513C23—112no—
1514C23—112no—
1515C23—112no—
1516C23—228no—
1517C23—221no—
1518C23—221no—
1519C23—221no—
1520C23—221no—
1521C23—221no—
1522C23—221no—
1523C23—221no—
1524C23—221no—
1525C23—221no—
1526C23—221no—
1527C23—221no—
1528C23—221no—
1529C23—221no—
1530C23—221no—
1531C23—221no—
1532C23—221no—
1533C23—221no—
1534C23—221no—
1535C23—221no—
1536C23—221no—
1537C23—221no—
1538C23—221no—
1539C23—221no—
1540C23—221no—
1541C23—221no—
1542C23—221no—
1543C23—221no—
1544C23—221no—
1545C23—221no—
1546C23—221no—
1547C23—221no—
1548C23—444no—
1549C23—444no—
1550C23—444no—
1551C23—444no—
1552C23—444no—
1553C23—444no—
1554C23C2×D4×D1112yes—
1555C23C24×D1111yescharacteristic
1556Q8—82no—
1557Q8—882no—
1558D4—82no—
1559D4—444no—
1560D4—444no—
1561D4—444no—
1562D4—444no—
1563D4—444no—
1564D4—444no—
1565D4—882no—
1566D4—882no—
1567D4—882no—
1568D4—882no—
1569D4—882no—
1570D4—882no—
1571D4—882no—
1572D4—882no—
1573D4—882no—
1574D4—882no—
1575D4—882no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—44no—
1611C2×C4—112no—
1612C2×C4—112no—
1613C2×C4—112no—
1614C2×C4—112no—
1615C2×C4—112no—
1616C2×C4—228no—
1617C2×C4—221no—
1618C2×C4—221no—
1619C2×C4—221no—
1620C2×C4—221no—
1621C2×C4—221no—
1622C2×C4—221no—
1623C2×C4—221no—
1624C2×C4—221no—
1625C2×C4—221no—
1626C2×C4—221no—
1627C2×C4—221no—
1628C2×C4—221no—
1629C2×C4—221no—
1630C2×C4—221no—
1631C2×C4—221no—
1632C2×C4—221no—
1633C2×C4—221no—
1634C2×C4—221no—
1635C2×C4—221no—
1636C2×C4—221no—
1637C2×C4—221no—
1638C2×C4—221no—
1639C2×C4—221no—
1640C2×C4—221no—
1641C2×C4—221no—
1642C2×C4—221no—
1643C2×C4—221no—
1644C2×C4—221no—
1645C2×C4—444no—
1646C2×C4—444no—
1647C2×C4—444no—
1648C2×C4—444no—
1649C2×C4—444no—
1650C2×C4—444no—
1651C2×C4—444no—
1652C2×C4—444no—
1653C2×C4—882no—
1654C2×C4—882no—
1655C2×C4—882no—
1656C2×C4—882no—
1657C2×C4C2×D4×D1112yes—
1658C2×C4C2×D4×D1112yes—
1659C2×C4#41×D1112yes—
1660C2×C4#41×D1112yes—
1661C2×C4#6704212yes—
1662C22—22no—
1663C22—22no—
1664C22—22no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—114no—
1677C22—222no—
1678C22—222no—
1679C22—222no—
1680C22—222no—
1681C22—222no—
1682C22—222no—
1683C22—222no—
1684C22—222no—
1685C22—222no—
1686C22—4416no—
1687C22—441no—
1688C22—441no—
1689C22—441no—
1690C22—441no—
1691C22—441no—
1692C22—441no—
1693C22—441no—
1694C22—441no—
1695C22—441no—
1696C22—441no—
1697C22—441no—
1698C22—441no—
1699C22—441no—
1700C22—441no—
1701C22—441no—
1702C22—441no—
1703C22—441no—
1704C22—441no—
1705C22—441no—
1706C22—441no—
1707C22—441no—
1708C22—441no—
1709C22—441no—
1710C22—441no—
1711C22—441no—
1712C22C22×D4×D1111yescharacteristic
1713C22C2×#41×D1111yescharacteristic
1714C22C2×#41×D1111yescharacteristic
1715C22C2×#6704211yescharacteristic
1716C22#1062345311yescharacteristic
1717C22D11×H(5,𝔽2)11yescharacteristic
1718C22#1062345711yescharacteristic
1719C4—22no—
1720C4—22no—
1721C4—22no—
1722C4—22no—
1723C4—22no—
1724C4—41no—
1725C4—41no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—222no—
1733C4—222no—
1734C4—222no—
1735C4—222no—
1736C4—222no—
1737C4—441no—
1738C4—441no—
1739C4—441no—
1740C4—441no—
1741C4—441no—
1742C4—441no—
1743C2—42no—
1744C2—81no—
1745C2—224no—
1746C2—442no—
1747C2—881no—
1748C2—881no—
1749C2—881no—
1750C2D11×#53211yescharacteristic
1751C2#1308202611yescharacteristic
1752C2#1308203611yescharacteristic
1753C2#1308230011yescharacteristic
1754C2#1308233011yescharacteristic
1755C2#1308237411yescharacteristic
1756C2#1308237611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2521C2
hypercenter#2521D11
hypocenterC11#35003
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2521

Complements

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

NH ≅ G/Ntype
1. C2×#10623235C2semidirect
2. C2×#10623209C2semidirect
3. #13076920C2semidirect
4. #13076914C2semidirect
5. #13076899C2semidirect
6. #13076897C2semidirect
7. #13074729C2semidirect
8. #13074719C2semidirect
9. #13074355C2semidirect
10. #13074351C2semidirect
11. #13073692C2semidirect
12. #13073691C2semidirect
13. #13073687C2semidirect
14. #13073684C2semidirect
15. #13073667C2semidirect
16. #13073662C2semidirect
17. #13073659C2semidirect
18. #13073656C2semidirect
19. #13073325C2semidirect
20. #13073315C2semidirect
21. #13073313C2semidirect
22. #13072626C2semidirect
23. #13072624C2semidirect
24. #13072622C2semidirect
25. #13072620C2semidirect
26. #13071320C2semidirect
27. #13071315C2semidirect
28. C4×#66948C2semidirect
29. #13071128C2semidirect
30. C4×C22⋊C4×D11C2semidirect
31. C11×#2521C2semidirect
36. C2×#67000C22semidirect
55. C2×#66938C22semidirect
68. C2×(C22⋊D11)⋊C4C22semidirect
76. C2×C4×D44C22semidirect
79. C11×#399C22semidirect
81. C11×#395C22semidirect
83. C11×#391C22semidirect
84. C11×#388C22semidirect
85. C11×#388C22semidirect
86. C11×#388C22semidirect
87. C11×#387C22semidirect
90. C4×C11×C4⋊C4C22semidirect
92. #10622842C22semidirect
97. #10622605C22semidirect
98. #10622605C22semidirect
99. #10622605C22semidirect
101. #10622603C22semidirect
102. #10622603C22semidirect
103. #10622602C22semidirect
104. #10622601C22semidirect
108. #10622598C22semidirect
109. #10622596C22semidirect
110. #10622594C22semidirect
111. #10622592C22semidirect
112. #10622592C22semidirect
113. #10622590C22semidirect
114. #10622585C22semidirect
119. #10622573C22semidirect
120. #10622573C22semidirect
121. #10622573C22semidirect
126. #10622571C22semidirect
127. #10622570C22semidirect
128. #10622570C22semidirect
132. #10622569C22semidirect
134. #10622563C22semidirect
135. #10622558C22semidirect
139. C22⋊C4×Dic11C22semidirect
140. #10622553C22semidirect
141. #10622553C22semidirect
142. #10622553C22semidirect
143. #10622552C22semidirect
146. C4×(C2×D11)⋊C4C22semidirect
147. C4×(C2×D11)⋊C4C22semidirect
148. #10622546C22semidirect
153. #10622284C22semidirect
154. #10622283C22semidirect
155. #10622283C22semidirect
156. #10622282C22semidirect
157. #10622282C22semidirect
158. #10622282C22semidirect
159. #10622282C22semidirect
160. #10622282C22semidirect
161. #10622281C22semidirect
162. #10622281C22semidirect
168. #10622279C22semidirect
178. #10622278C22semidirect
179. #10622278C22semidirect
182. #10622274C22semidirect
183. #10622270C22semidirect
184. #10622270C22semidirect
185. #10622268C22semidirect
186. #10622263C22semidirect
187. #10622262C22semidirect
188. #10622259C22semidirect
350. C22⋊C4×D11D4semidirect
642. #2521D11semidirect
865. #399C2×D11semidirect
877. #395C2×D11semidirect
895. #391C2×D11semidirect
915. #388C2×D11semidirect
916. #388C2×D11semidirect
917. #388C2×D11semidirect
921. #387C2×D11semidirect
957. C4×C4⋊C4C2×D11semidirect
1498. C11#35003semidirect

Maximal subgroups

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

subgroupindex
C2×#106232352
C2×#106232092
#130769202
#130769142
#130768992
#130768972
#130747292
#130747192
#130743552
#130743512
#130736922
#130736912
#130736872
#130736842
#130736672
#130736622
#130736592
#130736562
#130733252
#130733152
#130733132
#130726262
#130726242
#130726222
#130726202
#130713202
#130713152
C4×#669482
#130711282
C4×C22⋊C4×D112
C11×#25212
#3500311