Finite Group Databasebeta

← #14923959

Subgroups — #14923959

Order 2816.

2804 conjugacy classes of subgroups.

The subgroup lattice has 1708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623059C211yesmaximal, characteristic, complemented
2C2×#10623078C211yesmaximal, characteristic, complemented
3#13073761C211yesmaximal, characteristic, complemented
4#13073738C211yesmaximal, characteristic, complemented
5#13073733C211yesmaximal, characteristic, complemented
6#13073710C211yesmaximal, characteristic, complemented
7#13073701C211yesmaximal, characteristic, complemented
8#13073684C211yesmaximal, characteristic, complemented
9#13073679C211yesmaximal, characteristic, complemented
10#13073656C211yesmaximal, characteristic, complemented
11#13073623C211yesmaximal, characteristic, complemented
12#13073573C211yesmaximal, characteristic, complemented
13#13073543C211yesmaximal, characteristic, complemented
14#13073501C211yesmaximal, characteristic, complemented
15#13072937C211yesmaximal, characteristic, complemented
16#13072735C211yesmaximal, characteristic, complemented
17#13072170C211yesmaximal, characteristic, complemented
18#13072153C211yesmaximal, characteristic, complemented
19#13071892C211yesmaximal, characteristic, complemented
20#13071860C211yesmaximal, characteristic, complemented
21#13071832C211yesmaximal, characteristic, complemented
22C4×#66938C211yesmaximal, characteristic, complemented
23C4×#66947C211yesmaximal, characteristic, complemented
24C4×#66948C211yesmaximal, characteristic, complemented
25C4×#66992C211yesmaximal, characteristic, complemented
26C4×#66935C211yesmaximal, characteristic, complemented
27#13071104C211yesmaximal, characteristic, complemented
28#13071077C211yesmaximal, characteristic, complemented
29C4×(C22⋊D11)⋊C4C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D11C211yesmaximal, characteristic, complemented
31C11×#2395C211yesmaximal, characteristic, complemented
32C22×#4339C2211yescharacteristic
33C23×C4×D11C2211yescharacteristic
34C2×C4×D4×C11C2211yescharacteristic
35C2×C11×#117C2211yescharacteristic, complemented
36C2×#66992C2211yescharacteristic
37C2×#66992C2211yescharacteristic
38C2×#66990C2211yescharacteristic
39C2×C4×C22⋊D11C2211yescharacteristic
40C2×C4×C22⋊D11C2211yescharacteristic
41C2×C4×C22⋊D11C2211yescharacteristic
42C2×C4×C22⋊D11C2211yescharacteristic, complemented
43C22×C4×Dic11C2211yescharacteristic, complemented
44#10623078—28no—
45#10623059—28no—
46C2×#66951C2211yescharacteristic, complemented
47C2×#66949C2211yescharacteristic
48C2×#66949C2211yescharacteristic
49C2×#66948C2211yescharacteristic
50C2×#66947C2211yescharacteristic
51C2×#66947C2211yescharacteristic
52C2×#66947C2211yescharacteristic
53C2×#66942C2211yescharacteristic, complemented
54C2×#66938C2211yescharacteristic
55C2×#66938C2211yescharacteristic, complemented
56C2×#66937C2211yescharacteristic
57C2×#66937C2211yescharacteristic
58C2×#66936C2211yescharacteristic
59C2×#66936C2211yescharacteristic
60C2×#66935C2211yescharacteristic
61C2×#66935C2211yescharacteristic
62C2×(C22⋊D11)⋊C4C2211yescharacteristic
63C2×(C22⋊D11)⋊C4C2211yescharacteristic
64C2×C22⋊C4×D11C2211yescharacteristic
65C2×C22⋊C4×D11C2211yescharacteristic
66C2×#66932C2211yescharacteristic, complemented
67C2×#66931C2211yescharacteristic
68C2×C4×D44C2211yescharacteristic
69C2×C4×D44C2211yescharacteristic
70C2×C4×D44C2211yescharacteristic
71C2×C4×D44C2211yescharacteristic, complemented
72C2×#66925C2211yescharacteristic
73C2×#66925C2211yescharacteristic, complemented
74C2×C42×D11C2211yescharacteristic
75C2×C42×D11C2211yescharacteristic
76C2×C4×Dic22C2211yescharacteristic, complemented
77C11×#400C2211yescharacteristic, complemented
78C11×#399C2211yescharacteristic
79C11×#398C2211yescharacteristic, complemented
80C11×#397C2211yescharacteristic
81C11×#397C2211yescharacteristic, complemented
82C11×#397C2211yescharacteristic, complemented
83C11×#394C2211yescharacteristic
84C11×#394C2211yescharacteristic
85C4×C11×C4⋊C4C2211yescharacteristic, complemented
86C4×C11×C4⋊C4C2211yescharacteristic, complemented
87C4×C11×C22⋊C4C2211yescharacteristic
88C4×C11×C22⋊C4C2211yescharacteristic
89C4×C11×C22⋊C4C2211yescharacteristic, complemented
90#10622833C2211yescharacteristic
91C4×C22⋊Dic11C2211yescharacteristic
92#10622607C2211yescharacteristic
93#10622605C2211yescharacteristic
94#10622603C2211yescharacteristic, complemented
95#10622603C2211yescharacteristic, complemented
96#10622602C2211yescharacteristic
97#10622601C2211yescharacteristic
98#10622601C2211yescharacteristic
99#10622601C2211yescharacteristic
100#10622601C2211yescharacteristic
101#10622601C2211yescharacteristic, complemented
102#10622600C2211yescharacteristic
103#10622598C2211yescharacteristic, complemented
104#10622594C2211yescharacteristic, complemented
105#10622593C2211yescharacteristic, complemented
106#10622592C2211yescharacteristic, complemented
107#10622587C2211yescharacteristic, complemented
108#10622587C2211yescharacteristic, complemented
109#10622586C2211yescharacteristic, complemented
110#10622586C2211yescharacteristic, complemented
111#10622585C2211yescharacteristic, complemented
112#10622574C2211yescharacteristic
113#10622574C2211yescharacteristic, complemented
114#10622573C2211yescharacteristic
115#10622573C2211yescharacteristic
116#10622573C2211yescharacteristic, complemented
117#10622572C2211yescharacteristic
118#10622572C2211yescharacteristic
119#10622571C2211yescharacteristic
120#10622571C2211yescharacteristic
121#10622571C2211yescharacteristic
122#10622571C2211yescharacteristic, complemented
123#10622571C2211yescharacteristic, complemented
124#10622571C2211yescharacteristic, complemented
125#10622570C2211yescharacteristic
126#10622570C2211yescharacteristic
127#10622568C2211yescharacteristic
128#10622564C2211yescharacteristic
129#10622563C2211yescharacteristic
130#10622561C2211yescharacteristic
131#10622558C2211yescharacteristic
132#10622557C2211yescharacteristic
133#10622555C2211yescharacteristic, complemented
134C22⋊C4×Dic11C2211yescharacteristic
135C22⋊C4×Dic11C2211yescharacteristic
136C22⋊C4×Dic11C2211yescharacteristic, complemented
137C22⋊C4×Dic11C2211yescharacteristic, complemented
138C4×(C2×D11)⋊C4C2211yescharacteristic
139C4×(C2×D11)⋊C4C2211yescharacteristic
140C4×(C2×D11)⋊C4C2211yescharacteristic
141C4×(C2×D11)⋊C4C2211yescharacteristic
142C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
143C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
144C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
145C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
146C4×Dic11⋊C4C2211yescharacteristic, complemented
147C4×Dic11⋊C4C2211yescharacteristic, complemented
148C42×Dic11C2211yescharacteristic, complemented
149#10622289C2211yescharacteristic
150#10622289C2211yescharacteristic, complemented
151#10622288C2211yescharacteristic, complemented
152#10622286C2211yescharacteristic
153#10622286C2211yescharacteristic, complemented
154#10622285C2211yescharacteristic
155#10622285C2211yescharacteristic, complemented
156#10622284C2211yescharacteristic
157#10622283C2211yescharacteristic, complemented
158#10622283C2211yescharacteristic, complemented
159#10622283C2211yescharacteristic, complemented
160#10622282C2211yescharacteristic
161#10622282C2211yescharacteristic
162#10622282C2211yescharacteristic, complemented
163#10622282C2211yescharacteristic, complemented
164#10622282C2211yescharacteristic, complemented
165#10622282C2211yescharacteristic, complemented
166#10622281C2211yescharacteristic
167#10622281C2211yescharacteristic
168#10622279C2211yescharacteristic
169#10622279C2211yescharacteristic
170#10622279C2211yescharacteristic
171#10622279C2211yescharacteristic
172#10622278C2211yescharacteristic
173#10622278C2211yescharacteristic
174#10622278C2211yescharacteristic
175#10622278C2211yescharacteristic
176#10622278C2211yescharacteristic
177#10622277C2211yescharacteristic
178D11×#95C2211yescharacteristic
179D11×#95C2211yescharacteristic
180#10622271C2211yescharacteristic, complemented
181#10622270C2211yescharacteristic, complemented
182#10622270C2211yescharacteristic, complemented
183#10622269C2211yescharacteristic, complemented
184#10622268C2211yescharacteristic, complemented
185#10622263C2211yescharacteristic, complemented
186#10622262C2211yescharacteristic, complemented
187#10622262C2211yescharacteristic, complemented
188#10622259C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C22×C22⋊D11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C23×Dic11C2311yescharacteristic
200C23×Dic11C2311yescharacteristic
201C23×Dic11C2311yescharacteristic
202C2×#4339—24no—
203C2×#4339—24no—
204C2×#4339—42no—
205C22×D44C2311yescharacteristic
206C22×D44C2311yescharacteristic
207C22×D44C2311yescharacteristic
208C22×D44C2311yescharacteristic
209C22×D44C2311yescharacteristic
210C22×C4×D11—24no—
211C22×C4×D11—24no—
212C22×C4×D11—42no—
213C22×C4×D11C2311yescharacteristic
214C22×C4×D11C2311yescharacteristic
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×Dic22C2311yescharacteristic
224C22×Dic22C2311yescharacteristic
225C4×D4×C11—24no—
226C11×#117—24no—
227C2×C11×C4⋊C4C2311yescharacteristic
228C2×C11×C4⋊C4C2311yescharacteristic
229C2×C11×C4⋊C4C2311yescharacteristic
230C2×C11×C4⋊C4C2311yescharacteristic
231C2×C11×C4⋊C4C2311yescharacteristic
232C2×C11×C4⋊C4C2311yescharacteristic
233C2×C11×C4⋊C4C2311yescharacteristic
234C2×C11×C22⋊C4C2311yescharacteristic
235C2×C11×C22⋊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×C42×C11C2311yescharacteristic
245C2×C42×C11C2311yescharacteristic
246C2×C42×C11C2311yescharacteristic
247C2×C42×C11C2311yescharacteristic
248C2×C42×C11C2311yescharacteristic
249C2×C22⋊Dic11C2311yescharacteristic
250C2×C22⋊Dic11C2311yescharacteristic
251C2×C22⋊Dic11C2311yescharacteristic
252C2×C22⋊Dic11C2311yescharacteristic
253C2×C22⋊Dic11C2311yescharacteristic
254C2×C22⋊Dic11C2311yescharacteristic
255#66992—24no—
256#66992—24no—
257#66990—24no—
258C4×C22⋊D11—24no—
259C4×C22⋊D11—24no—
260C4×C22⋊D11—42no—
261C4×C22⋊D11D418yescomplemented
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×(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×C4⋊Dic11C2311yescharacteristic
295C2×C4⋊Dic11C2311yescharacteristic
296C2×C4⋊Dic11C2311yescharacteristic
297C2×C4⋊Dic11C2311yescharacteristic
298C2×C4⋊Dic11C2311yescharacteristic
299C2×Dic11⋊C4C2311yescharacteristic
300C2×Dic11⋊C4C2311yescharacteristic
301C2×Dic11⋊C4C2311yescharacteristic
302C2×Dic11⋊C4C2311yescharacteristic
303C2×Dic11⋊C4C2311yescharacteristic
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×C4×Dic11—42no—
314C2×C4×Dic11C2311yescharacteristic
315C2×C4×Dic11C2311yescharacteristic
316C2×C4×Dic11C2311yescharacteristic
317C2×C4×Dic11C2311yescharacteristic
318C2×C4×Dic11C2311yescharacteristic
319C2×C4×Dic11C2311yescharacteristic
320C2×C4×Dic11C2311yescharacteristic
321C2×C4×Dic11C2311yescharacteristic
322C2×C4×Dic11C2311yescharacteristic
323C2×C4×Dic11C2311yescharacteristic
324C2×C4×Dic11C2311yescharacteristic
325C2×C4×Dic11C2311yescharacteristic
326C2×C4×Dic11C2311yescharacteristic
327C2×C4×Dic11C2311yescharacteristic
328#66951—24no—
329#66949—24no—
330#66949—24no—
331#66948—24no—
332#66947—24no—
333#66947—24no—
334#66947—24no—
335#66942—24no—
336#66938—24no—
337#66938—24no—
338#66937—24no—
339#66937—24no—
340#66936—24no—
341#66936—24no—
342#66935—24no—
343#66935—24no—
344(C22⋊D11)⋊C4—24no—
345(C22⋊D11)⋊C4—24no—
346C22⋊C4×D11—24no—
347C22⋊C4×D11—24no—
348#66932—24no—
349#66931—24no—
350C4×D44—24no—
351C4×D44—24no—
352C4×D44—24no—
353C4×D44—42no—
354#66925—24no—
355#66925—24no—
356C42×D11—24no—
357C42×D11—42no—
358C4×Dic22—24no—
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#34829—111nomaximal, Sylow
392C24×C11C2411yescharacteristic
393C24×C11C2411yescharacteristic
394C23×D11—22no—
395C23×D11—22no—
396C23×D11—22no—
397C23×D11—22no—
398C23×D11—22no—
399C23×D11—41no—
400C23×D11—41no—
401C23×D11C2411yescharacteristic
402C23×D11C2411yescharacteristic
403C23×D11C2411yescharacteristic
404C23×D11C2411yescharacteristic
405C2×D4×C11—22no—
406C2×D4×C11—22no—
407C2×D4×C11—41no—
408C22×C4×C11—22no—
409C22×C4×C11—22no—
410C22×C4×C11—22no—
411C22×C4×C11—22no—
412C22×C4×C11—22no—
413C22×C4×C11C2×D414yes—
414C22×C4×C11C2411yescharacteristic
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
427C2×C22⋊D11—22no—
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—22no—
439C2×C22⋊D11—41no—
440C2×C22⋊D11—41no—
441C2×C22⋊D11—41no—
442C2×C22⋊D11—41no—
443C2×C22⋊D11—41no—
444C2×C22⋊D11C2×D414yes—
445C22×Dic11—22no—
446C22×Dic11—22no—
447C22×Dic11—22no—
448C22×Dic11—22no—
449C22×Dic11—22no—
450C22×Dic11—41no—
451C22×Dic11—41no—
452C22×Dic11—41no—
453C22×Dic11—41no—
454C22×Dic11C2411yescharacteristic
455C22×Dic11C2411yescharacteristic
456C22×Dic11C2411yescharacteristic
457C22×Dic11C2411yescharacteristic
458C22×Dic11C2411yescharacteristic
459C22×Dic11C2411yescharacteristic
460C22×Dic11C2411yescharacteristic
461C22×Dic11C2411yescharacteristic
462C22×Dic11C2411yescharacteristic
463C22×Dic11C2411yescharacteristic
464C22×Dic11C2411yescharacteristic
465C22×Dic11C2411yescharacteristic
466#4339—416no—
467C2×D44—22no—
468C2×D44—22no—
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—41no—
479C2×D44—41no—
480C2×D44—41no—
481C2×D44—41no—
482C2×C4×D11—22no—
483C2×C4×D11—22no—
484C2×C4×D11—22no—
485C2×C4×D11—22no—
486C2×C4×D11—22no—
487C2×C4×D11—22no—
488C2×C4×D11—22no—
489C2×C4×D11—22no—
490C2×C4×D11—22no—
491C2×C4×D11—22no—
492C2×C4×D11—22no—
493C2×C4×D11—22no—
494C2×C4×D11—22no—
495C2×C4×D11—22no—
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—41no—
504C2×C4×D11—41no—
505C2×C4×D11—41no—
506C2×C4×D11—41no—
507C2×C4×D11—41no—
508C2×C4×D11—41no—
509C2×C4×D11—416no—
510C2×C4×D11C2×D414yes—
511C2×C4×D11#4114yes—
512C2×C4×D11#4114yescomplemented
513C2×Dic22—22no—
514C2×Dic22—22no—
515C2×Dic22—22no—
516C2×Dic22—22no—
517C2×Dic22—41no—
518C2×Dic22—41no—
519C11×C4⋊C4—22no—
520C11×C4⋊C4—22no—
521C11×C4⋊C4—22no—
522C11×C4⋊C4—22no—
523C11×C4⋊C4—22no—
524C11×C4⋊C4—41no—
525C11×C4⋊C4—41no—
526C11×C22⋊C4—22no—
527C11×C22⋊C4—22no—
528C11×C22⋊C4—22no—
529C11×C22⋊C4—22no—
530C11×C22⋊C4—22no—
531C11×C22⋊C4—22no—
532C11×C22⋊C4—22no—
533C11×C22⋊C4—22no—
534C11×C22⋊C4—22no—
535C11×C22⋊C4—22no—
536C42×C11—22no—
537C42×C11—22no—
538C42×C11—22no—
539C42×C11—22no—
540C42×C11—22no—
541C22⋊Dic11—22no—
542C22⋊Dic11—22no—
543C22⋊Dic11—22no—
544C22⋊Dic11—41no—
545C22⋊Dic11C2×D414yes—
546C22⋊Dic11#4114yescomplemented
547(C2×D11)⋊C4—22no—
548(C2×D11)⋊C4—22no—
549(C2×D11)⋊C4—22no—
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—22no—
557(C2×D11)⋊C4—22no—
558(C2×D11)⋊C4—22no—
559(C2×D11)⋊C4—22no—
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—41no—
573(C2×D11)⋊C4—41no—
574(C2×D11)⋊C4—41no—
575(C2×D11)⋊C4—41no—
576(C2×D11)⋊C4—41no—
577(C2×D11)⋊C4C2×D414yes—
578(C2×D11)⋊C4#4114yescomplemented
579C4⋊Dic11—22no—
580C4⋊Dic11—22no—
581C4⋊Dic11—22no—
582C4⋊Dic11—22no—
583C4⋊Dic11—41no—
584Dic11⋊C4—22no—
585Dic11⋊C4—22no—
586Dic11⋊C4—22no—
587Dic11⋊C4—22no—
588Dic11⋊C4—22no—
589Dic11⋊C4—22no—
590Dic11⋊C4—22no—
591Dic11⋊C4—22no—
592Dic11⋊C4—22no—
593Dic11⋊C4—22no—
594Dic11⋊C4—22no—
595Dic11⋊C4—22no—
596Dic11⋊C4—41no—
597Dic11⋊C4C2×D414yes—
598C4×Dic11—22no—
599C4×Dic11—22no—
600C4×Dic11—22no—
601C4×Dic11—22no—
602C4×Dic11—22no—
603C4×Dic11—22no—
604C4×Dic11—22no—
605C4×Dic11—22no—
606C4×Dic11—41no—
607C4×Dic11—41no—
608C4×Dic11—41no—
609C4×Dic11—41no—
610C4×Dic11—41no—
611C4×Dic11C2×D414yes—
612C2×#529—111no—
613C2×#525—111no—
614#2560—111no—
615#2559—111no—
616#2558—111no—
617#2557—111no—
618#2556—111no—
619#2555—111no—
620#2554—111no—
621#2553—111no—
622#2549—111no—
623#2543—111no—
624#2539—111no—
625#2534—111no—
626#2488—111no—
627#2472—111no—
628#2425—111no—
629#2424—111no—
630#2396—111no—
631#2395D1111yescharacteristic, complemented
632#2392—111no—
633#2388—111no—
634C4×#124—111no—
635C4×#123—111no—
636C4×#121—111no—
637C4×#121—111no—
638C4×#120—111no—
639#2297—111no—
640#2293—111no—
641C42×D4—111no—
642C2×C4×C22⋊C4—111no—
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×C11C22×D412yes—
656C23×C11C2×#4112yes—
657C23×C11C2511yescharacteristic
658C22×D11—21no—
659C22×D11—21no—
660C22×D11—21no—
661C22×D11—21no—
662C22×D11—28no—
663C22×D11—21no—
664C22×D11—21no—
665C22×D11—21no—
666C22×D11—21no—
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—21no—
678C22×D11—21no—
679C22×D11—21no—
680C22×D11—21no—
681C22×D11—21no—
682C22×D11—21no—
683C22×D11—44no—
684C22×D11—44no—
685C22×D11—44no—
686C22×D11—44no—
687C22×D11—44no—
688C22×D11—44no—
689C22×D11C22×D412yes—
690C22×D11C2×#4112yes—
691C22×D11C2×#4112yes—
692C22×D11C2×#4112yes—
693D4×C11—44no—
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—28no—
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—21no—
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—44no—
729C2×C4×C11C22×D412yes—
730C2×C4×C11C22×D412yes—
731C2×C4×C11C2×#4112yes—
732C2×C4×C11C2×#4112yes—
733C2×C4×C11C2×#4112yes—
734C2×C4×C11H(5,𝔽2)12yes—
735C22⋊D11—28no—
736C22⋊D11—44no—
737C22⋊D11—44no—
738C22⋊D11—44no—
739C22⋊D11—44no—
740C22⋊D11—44no—
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—21no—
765C2×Dic11—21no—
766C2×Dic11—21no—
767C2×Dic11—21no—
768C2×Dic11—21no—
769C2×Dic11—44no—
770C2×Dic11—44no—
771C2×Dic11—44no—
772C2×Dic11C22×D412yes—
773C2×Dic11C22×D412yes—
774C2×Dic11C22×D412yes—
775C2×Dic11C2×#4112yes—
776C2×Dic11C2×#4112yes—
777C2×Dic11C2×#4112yes—
778C2×Dic11C2×#4112yes—
779C2×Dic11C2×#4112yes—
780D44—44no—
781D44—44no—
782D44—44no—
783D44—44no—
784D44—44no—
785C4×D11—28no—
786C4×D11—28no—
787C4×D11—44no—
788C4×D11—44no—
789C4×D11—44no—
790C4×D11—44no—
791C4×D11—44no—
792C4×D11—44no—
793C4×D11—44no—
794C4×D11—44no—
795Dic22—44no—
796Dic22—44no—
797C22×#41—111no—
798C24×C4—111no—
799#529—228no—
800C2×#126—111no—
801C2×#126—111no—
802C2×#125—111no—
803C2×#124—111no—
804C2×#124—111no—
805#525—228no—
806C2×#123—111no—
807C2×#123—111no—
808C2×#123—111no—
809C2×#123—111no—
810C2×#123—111no—
811C2×C22⋊Q8—111no—
812C2×C22⋊Q8—111no—
813C2×C22⋊Q8—111no—
814C2×#121—111no—
815C2×#121—111no—
816C2×#121—111no—
817C2×#121—111no—
818C2×#121—111no—
819C2×#120—111no—
820C2×#120—111no—
821C2×#120—111no—
822C2×C4×Q8—111no—
823C2×C4×D4—111no—
824C2×C4×D4—111no—
825C2×C4×D4—111no—
826C2×C4×D4—111no—
827C2×C4×D4—111no—
828C2×C4×D4—111no—
829C2×C4×D4—111no—
830C2×C4×D4—111no—
831C2×C4×D4—111no—
832C2×C4×D4—111no—
833C2×C4×D4C2×D1111yescharacteristic
834C2×#117—111no—
835C2×#117—111no—
836C2×#117C2×D1111yescharacteristic, complemented
837C22×C22⋊C4—111no—
838C22×C22⋊C4—111no—
839C22×C42—111no—
840C22×C42—111no—
841C22×C42—111no—
842#400—111no—
843#400C2×D1111yescharacteristic, complemented
844#399—111no—
845#399C2×D1111yescharacteristic
846#398—111no—
847#398—111no—
848#398—111no—
849#398C2×D1111yescharacteristic, complemented
850#397—111no—
851#397C2×D1111yescharacteristic
852#397C2×D1111yescharacteristic, complemented
853#397C2×D1111yescharacteristic, complemented
854#396—111no—
855#396—111no—
856#396—111no—
857#396—111no—
858#395—111no—
859#395—111no—
860#394—111no—
861#394—111no—
862#394—111no—
863#394—111no—
864#394—111no—
865#394—111no—
866#394C2×D1111yescharacteristic
867#394C2×D1111yescharacteristic
868#393—111no—
869#393—111no—
870#392—111no—
871#392—111no—
872#392—111no—
873#392—111no—
874#391—111no—
875#391—111no—
876#391—111no—
877#390—111no—
878#390—111no—
879#390—111no—
880#390—111no—
881#390—111no—
882#390—111no—
883#390—111no—
884#389—111no—
885#389—111no—
886#389—111no—
887#389—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#388—111no—
897#388—111no—
898#388—111no—
899#388—111no—
900#388—111no—
901#388—111no—
902#387—111no—
903#387—111no—
904#386—111no—
905#386—111no—
906#386—111no—
907#386—111no—
908#386—111no—
909#386—111no—
910#386—111no—
911#386—111no—
912#386—111no—
913#386—111no—
914#386—111no—
915#386—111no—
916#385—111no—
917#385—111no—
918#385—111no—
919#385—111no—
920#382—111no—
921#381—111no—
922#380—111no—
923#380—111no—
924#379—111no—
925C4×C4⋊C4—111no—
926C4×C4⋊C4—111no—
927C4×C4⋊C4—111no—
928C4×C4⋊C4—111no—
929C4×C4⋊C4C2×D1111yescharacteristic, complemented
930C4×C4⋊C4C2×D1111yescharacteristic, complemented
931C4×C22⋊C4—111no—
932C4×C22⋊C4—111no—
933C4×C22⋊C4—111no—
934C4×C22⋊C4—111no—
935C4×C22⋊C4—111no—
936C4×C22⋊C4—111no—
937C4×C22⋊C4—111no—
938C4×C22⋊C4—111no—
939C4×C22⋊C4—111no—
940C4×C22⋊C4—111no—
941C4×C22⋊C4—111no—
942C4×C22⋊C4—111no—
943C4×C22⋊C4—111no—
944C4×C22⋊C4—111no—
945C4×C22⋊C4—111no—
946C4×C22⋊C4—111no—
947C4×C22⋊C4—111no—
948C4×C22⋊C4C2×D1111yescharacteristic
949C4×C22⋊C4C2×D1111yescharacteristic
950C4×C22⋊C4C2×D1111yescharacteristic, complemented
951C2×#95—111no—
952C2×#95—111no—
953C43—111no—
954C22×C11—22no—
955C22×C11—22no—
956C22×C11—22no—
957C22×C11—22no—
958C22×C11—22no—
959C22×C11—22no—
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×C11C23×D411yescharacteristic
969C22×C11C22×#4111yescharacteristic
970C22×C11C22×#4111yescharacteristic
971C22×C11C22×#4111yescharacteristic
972C22×C11C22×#4111yescharacteristic
973C22×C11C2×H(5,𝔽2)11yescharacteristic
974C22×C11#58511yescharacteristic
975C2×D11—22no—
976C2×D11—22no—
977C2×D11—22no—
978C2×D11—22no—
979C2×D11—22no—
980C2×D11—22no—
981C2×D11—22no—
982C2×D11—22no—
983C2×D11—22no—
984C2×D11—416no—
985C2×D11—41no—
986C2×D11—41no—
987C2×D11—41no—
988C2×D11—41no—
989C2×D11—41no—
990C2×D11—41no—
991C2×D11—41no—
992C2×D11—41no—
993C2×D11—41no—
994C2×D11—41no—
995C2×D11—41no—
996C2×D11—41no—
997C2×D11—41no—
998C2×D11—41no—
999C2×D11—41no—
1000C2×D11—41no—
1001C2×D11—41no—
1002C2×D11—41no—
1003C2×D11#53214yes—
1004C4×C11—22no—
1005C4×C11—22no—
1006C4×C11—22no—
1007C4×C11—41no—
1008C4×C11—41no—
1009C4×C11—41no—
1010C4×C11—41no—
1011C4×C11—41no—
1012C4×C11—41no—
1013C4×C11—41no—
1014C4×C11—41no—
1015C4×C11—41no—
1016C4×C11#54614yes—
1017Dic11—22no—
1018Dic11—22no—
1019Dic11—22no—
1020Dic11—22no—
1021Dic11—22no—
1022Dic11—22no—
1023Dic11—22no—
1024Dic11—22no—
1025Dic11—41no—
1026Dic11—41no—
1027Dic11—41no—
1028Dic11—41no—
1029C25—111no—
1030C2×#41—224no—
1031C2×#41—224no—
1032C2×#41—442no—
1033C22×Q8—111no—
1034C22×Q8—111no—
1035C22×D4—111no—
1036C22×D4—111no—
1037C22×D4—111no—
1038C22×D4—111no—
1039C22×D4—111no—
1040C22×D4—111no—
1041C22×D4—111no—
1042C22×D4—111no—
1043C22×D4—111no—
1044C22×D4—111no—
1045C22×D4—111no—
1046C22×D4C22×D1111yescharacteristic
1047C23×C4—111no—
1048C23×C4—111no—
1049C23×C4—111no—
1050C23×C4—111no—
1051C23×C4—111no—
1052C23×C4—111no—
1053C23×C4—111no—
1054C23×C4—111no—
1055C23×C4—111no—
1056C23×C4—111no—
1057C23×C4—111no—
1058C23×C4—111no—
1059C23×C4—111no—
1060C23×C4—224no—
1061C23×C4—224no—
1062C23×C4—442no—
1063C23×C4C22×D1111yescharacteristic
1064C23×C4C22×D1111yescharacteristic
1065#126—224no—
1066#126—224no—
1067#125—224no—
1068#124—224no—
1069#124—224no—
1070#123—224no—
1071#123—224no—
1072#123—224no—
1073#123—224no—
1074#123—224no—
1075C22⋊Q8—224no—
1076C22⋊Q8—224no—
1077C22⋊Q8—224no—
1078#121—224no—
1079#121—224no—
1080#121—224no—
1081#121—224no—
1082#121—224no—
1083#120—224no—
1084#120—224no—
1085#120—224no—
1086C4×Q8—224no—
1087C4×D4—24no—
1088C4×D4—118no—
1089C4×D4—224no—
1090C4×D4—224no—
1091C4×D4—224no—
1092C4×D4—224no—
1093C4×D4—224no—
1094C4×D4—224no—
1095C4×D4—224no—
1096C4×D4—442no—
1097C4×D4—442no—
1098#117—24no—
1099#117—224no—
1100#117—224no—
1101C2×C4⋊C4—111no—
1102C2×C4⋊C4—111no—
1103C2×C4⋊C4—111no—
1104C2×C4⋊C4—111no—
1105C2×C4⋊C4—111no—
1106C2×C4⋊C4—111no—
1107C2×C4⋊C4—111no—
1108C2×C4⋊C4—111no—
1109C2×C4⋊C4—111no—
1110C2×C4⋊C4—111no—
1111C2×C4⋊C4—111no—
1112C2×C4⋊C4—111no—
1113C2×C4⋊C4—111no—
1114C2×C4⋊C4—111no—
1115C2×C4⋊C4—111no—
1116C2×C4⋊C4—111no—
1117C2×C4⋊C4—111no—
1118C2×C4⋊C4—111no—
1119C2×C4⋊C4—111no—
1120C2×C4⋊C4C22×D1111yescharacteristic
1121C2×C4⋊C4C22×D1111yescharacteristic
1122C2×C4⋊C4C22×D1111yescharacteristic
1123C2×C4⋊C4C22×D1111yescharacteristic
1124C2×C4⋊C4C22×D1111yescharacteristic
1125C2×C4⋊C4C22×D1111yescharacteristic
1126C2×C4⋊C4C22×D1111yescharacteristic
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—111no—
1141C2×C22⋊C4—111no—
1142C2×C22⋊C4—111no—
1143C2×C22⋊C4—111no—
1144C2×C22⋊C4—111no—
1145C2×C22⋊C4—111no—
1146C2×C22⋊C4—111no—
1147C2×C22⋊C4—111no—
1148C2×C22⋊C4—111no—
1149C2×C22⋊C4—111no—
1150C2×C22⋊C4—111no—
1151C2×C22⋊C4—111no—
1152C2×C22⋊C4—111no—
1153C2×C22⋊C4—111no—
1154C2×C22⋊C4—111no—
1155C2×C22⋊C4—111no—
1156C2×C22⋊C4—111no—
1157C2×C22⋊C4—111no—
1158C2×C22⋊C4—111no—
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—224no—
1166C2×C22⋊C4—224no—
1167C2×C22⋊C4C22×D1111yescharacteristic
1168C2×C22⋊C4C22×D1111yescharacteristic
1169C2×C22⋊C4C22×D1111yescharacteristic
1170C2×C22⋊C4C22×D1111yescharacteristic
1171C2×C22⋊C4C22×D1111yescharacteristic
1172C2×C22⋊C4C22×D1111yescharacteristic
1173C2×C22⋊C4C22×D1111yescharacteristic
1174C2×C22⋊C4C22×D1111yescharacteristic
1175C2×C22⋊C4C22×D1111yescharacteristic
1176C2×C22⋊C4C22×D1111yescharacteristic
1177C2×C42—111no—
1178C2×C42—111no—
1179C2×C42—111no—
1180C2×C42—111no—
1181C2×C42—111no—
1182C2×C42—111no—
1183C2×C42—111no—
1184C2×C42—111no—
1185C2×C42—111no—
1186C2×C42—111no—
1187C2×C42—111no—
1188C2×C42—111no—
1189C2×C42—111no—
1190C2×C42—111no—
1191C2×C42—224no—
1192C2×C42—442no—
1193C2×C42—442no—
1194C2×C42C22×D1111yescharacteristic
1195C2×C42C22×D1111yescharacteristic
1196C2×C42C22×D1111yescharacteristic
1197C2×C42C22×D1111yescharacteristic
1198C2×C42C22×D1111yescharacteristic
1199#95—111no—
1200#95—111no—
1201#95—111no—
1202#95—111no—
1203#95—111no—
1204#95—111no—
1205#95—111no—
1206#95—111no—
1207#95—111no—
1208#95—111no—
1209#95—111no—
1210#95—111no—
1211#95—111no—
1212#95—111no—
1213#95—111no—
1214#95—111no—
1215#95—111no—
1216#95—111no—
1217#95—111no—
1218#95—111no—
1219#95—111no—
1220#95—111no—
1221#95C22×D1111yescharacteristic
1222#95C22×D1111yescharacteristic
1223#95C22×D1111yescharacteristic
1224#95C22×D1111yescharacteristic
1225#95C22×D1111yescharacteristic
1226#95C22×D1111yescharacteristic
1227#95C22×D1111yescharacteristic
1228#95C22×D1111yescharacteristic
1229#95C22×D1111yescharacteristic
1230#95C22×D1111yescharacteristic
1231C2×C11—42no—
1232C2×C11—42no—
1233C2×C11C2×#53211yescharacteristic
1234C2×C11#344411yescharacteristic
1235C2×C11#345911yescharacteristic
1236C2×C11C2×#54611yescharacteristic
1237C2×C11D4×#4111yescharacteristic
1238C2×C11#347511yescharacteristic
1239C2×C11#348111yescharacteristic
1240D11—24no—
1241D11—42no—
1242D11—81no—
1243D11—81no—
1244C24—111no—
1245C24—111no—
1246C24—111no—
1247C24—111no—
1248C24—222no—
1249C24—222no—
1250C24—222no—
1251C24—222no—
1252C24—222no—
1253C24—441no—
1254C24—441no—
1255C24C23×D1111yescharacteristic
1256C24C23×D1111yescharacteristic
1257#41—4416no—
1258C2×Q8—222no—
1259C2×Q8—222no—
1260C2×Q8—222no—
1261C2×Q8—222no—
1262C2×Q8—441no—
1263C2×Q8—441no—
1264C2×D4—22no—
1265C2×D4—22no—
1266C2×D4—41no—
1267C2×D4—114no—
1268C2×D4—222no—
1269C2×D4—222no—
1270C2×D4—222no—
1271C2×D4—222no—
1272C2×D4—222no—
1273C2×D4—222no—
1274C2×D4—222no—
1275C2×D4—222no—
1276C2×D4—222no—
1277C2×D4—222no—
1278C2×D4—222no—
1279C2×D4—222no—
1280C2×D4—222no—
1281C2×D4—222no—
1282C2×D4—222no—
1283C2×D4—222no—
1284C2×D4—222no—
1285C2×D4—222no—
1286C2×D4—222no—
1287C2×D4—222no—
1288C2×D4—222no—
1289C2×D4—222no—
1290C2×D4—222no—
1291C2×D4—441no—
1292C2×D4—441no—
1293C2×D4—441no—
1294C2×D4—441no—
1295C2×D4—441no—
1296C2×D4—441no—
1297C2×D4—441no—
1298C2×D4—441no—
1299C2×D4—441no—
1300C22×C4—22no—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—111no—
1306C22×C4—111no—
1307C22×C4—111no—
1308C22×C4—111no—
1309C22×C4—111no—
1310C22×C4—111no—
1311C22×C4—111no—
1312C22×C4—111no—
1313C22×C4—114no—
1314C22×C4—114no—
1315C22×C4—114no—
1316C22×C4—111no—
1317C22×C4—111no—
1318C22×C4—111no—
1319C22×C4—111no—
1320C22×C4—222no—
1321C22×C4—222no—
1322C22×C4—222no—
1323C22×C4—222no—
1324C22×C4—222no—
1325C22×C4—222no—
1326C22×C4—222no—
1327C22×C4—222no—
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—222no—
1342C22×C4—222no—
1343C22×C4—222no—
1344C22×C4—222no—
1345C22×C4—222no—
1346C22×C4—441no—
1347C22×C4—441no—
1348C22×C4—441no—
1349C22×C4—441no—
1350C22×C4—441no—
1351C22×C4—441no—
1352C22×C4—4416no—
1353C22×C4—441no—
1354C22×C4—441no—
1355C22×C4—441no—
1356C22×C4—441no—
1357C22×C4D4×D1114yes—
1358C22×C4C23×D1111yescharacteristic
1359C22×C4C23×D1111yescharacteristic
1360C22×C4C23×D1111yescharacteristic
1361C22×C4C23×D1111yescharacteristic
1362C22×C4C23×D1111yescharacteristic
1363C22×C4C23×D1111yescharacteristic
1364C22×C4C23×D1111yescharacteristic
1365C22×C4C23×D1111yescharacteristic
1366C22×C4C23×D1111yescharacteristic
1367C22×C4C23×D1111yescharacteristic
1368C22×C4C23×D1111yescharacteristic
1369C22×C4C23×D1111yescharacteristic
1370C22×C4C23×D1111yescharacteristic
1371C4⋊C4—22no—
1372C4⋊C4—22no—
1373C4⋊C4—22no—
1374C4⋊C4—22no—
1375C4⋊C4—22no—
1376C4⋊C4—41no—
1377C4⋊C4—41no—
1378C4⋊C4—114no—
1379C4⋊C4—222no—
1380C4⋊C4—222no—
1381C4⋊C4—222no—
1382C4⋊C4—222no—
1383C4⋊C4—222no—
1384C4⋊C4—222no—
1385C4⋊C4—222no—
1386C4⋊C4—222no—
1387C4⋊C4—222no—
1388C4⋊C4—222no—
1389C4⋊C4—222no—
1390C4⋊C4—222no—
1391C4⋊C4—222no—
1392C4⋊C4—222no—
1393C4⋊C4—222no—
1394C4⋊C4—222no—
1395C4⋊C4—441no—
1396C4⋊C4—441no—
1397C22⋊C4—22no—
1398C22⋊C4—22no—
1399C22⋊C4—22no—
1400C22⋊C4—22no—
1401C22⋊C4—22no—
1402C22⋊C4—22no—
1403C22⋊C4—22no—
1404C22⋊C4—22no—
1405C22⋊C4—22no—
1406C22⋊C4—22no—
1407C22⋊C4—114no—
1408C22⋊C4—114no—
1409C22⋊C4—114no—
1410C22⋊C4—114no—
1411C22⋊C4—222no—
1412C22⋊C4—222no—
1413C22⋊C4—222no—
1414C22⋊C4—222no—
1415C22⋊C4—222no—
1416C22⋊C4—222no—
1417C22⋊C4—222no—
1418C22⋊C4—222no—
1419C22⋊C4—222no—
1420C22⋊C4—222no—
1421C22⋊C4—222no—
1422C22⋊C4—222no—
1423C22⋊C4—222no—
1424C22⋊C4—222no—
1425C22⋊C4—222no—
1426C22⋊C4—222no—
1427C22⋊C4—222no—
1428C22⋊C4—222no—
1429C22⋊C4—222no—
1430C22⋊C4—222no—
1431C22⋊C4—222no—
1432C22⋊C4—222no—
1433C22⋊C4—222no—
1434C22⋊C4—222no—
1435C22⋊C4—222no—
1436C22⋊C4—222no—
1437C22⋊C4—222no—
1438C22⋊C4—222no—
1439C22⋊C4—441no—
1440C22⋊C4—441no—
1441C22⋊C4—441no—
1442C22⋊C4—441no—
1443C22⋊C4—441no—
1444C22⋊C4—441no—
1445C42—22no—
1446C42—22no—
1447C42—22no—
1448C42—22no—
1449C42—22no—
1450C42—114no—
1451C42—222no—
1452C42—222no—
1453C42—222no—
1454C42—222no—
1455C42—222no—
1456C42—222no—
1457C42—222no—
1458C42—222no—
1459C42—441no—
1460C42—441no—
1461C42—441no—
1462C42—441no—
1463C42—441no—
1464C11#3482911yescharacteristic, complemented, Sylow
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—112no—
1478C23—112no—
1479C23—112no—
1480C23—112no—
1481C23—228no—
1482C23—221no—
1483C23—221no—
1484C23—221no—
1485C23—221no—
1486C23—221no—
1487C23—221no—
1488C23—221no—
1489C23—221no—
1490C23—221no—
1491C23—221no—
1492C23—221no—
1493C23—221no—
1494C23—221no—
1495C23—221no—
1496C23—221no—
1497C23—221no—
1498C23—221no—
1499C23—221no—
1500C23—221no—
1501C23—221no—
1502C23—221no—
1503C23—221no—
1504C23—221no—
1505C23—221no—
1506C23—444no—
1507C23—444no—
1508C23—444no—
1509C23—444no—
1510C23—444no—
1511C23—444no—
1512C23C2×D4×D1112yes—
1513C23#41×D1112yes—
1514C23C24×D1111yescharacteristic
1515Q8—444no—
1516Q8—444no—
1517D4—44no—
1518D4—228no—
1519D4—444no—
1520D4—444no—
1521D4—444no—
1522D4—444no—
1523D4—444no—
1524D4—444no—
1525D4—444no—
1526D4—444no—
1527D4—444no—
1528D4—444no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—28no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—44no—
1564C2×C4—112no—
1565C2×C4—112no—
1566C2×C4—112no—
1567C2×C4—112no—
1568C2×C4—112no—
1569C2×C4—112no—
1570C2×C4—112no—
1571C2×C4—112no—
1572C2×C4—221no—
1573C2×C4—221no—
1574C2×C4—221no—
1575C2×C4—221no—
1576C2×C4—221no—
1577C2×C4—221no—
1578C2×C4—221no—
1579C2×C4—221no—
1580C2×C4—221no—
1581C2×C4—221no—
1582C2×C4—221no—
1583C2×C4—221no—
1584C2×C4—221no—
1585C2×C4—221no—
1586C2×C4—221no—
1587C2×C4—221no—
1588C2×C4—228no—
1589C2×C4—228no—
1590C2×C4—221no—
1591C2×C4—221no—
1592C2×C4—221no—
1593C2×C4—221no—
1594C2×C4—221no—
1595C2×C4—221no—
1596C2×C4—221no—
1597C2×C4—221no—
1598C2×C4—221no—
1599C2×C4—221no—
1600C2×C4—221no—
1601C2×C4—221no—
1602C2×C4—444no—
1603C2×C4—444no—
1604C2×C4—444no—
1605C2×C4—444no—
1606C2×C4—444no—
1607C2×C4—444no—
1608C2×C4—444no—
1609C2×C4—444no—
1610C2×C4—444no—
1611C2×C4—444no—
1612C2×C4—444no—
1613C2×C4C2×D4×D1112yes—
1614C2×C4C2×D4×D1112yes—
1615C2×C4#41×D1112yes—
1616C2×C4#41×D1112yes—
1617C2×C4#41×D1112yes—
1618C2×C4#6704212yes—
1619C22—22no—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—22no—
1624C22—22no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—114no—
1634C22—222no—
1635C22—222no—
1636C22—222no—
1637C22—222no—
1638C22—222no—
1639C22—222no—
1640C22—222no—
1641C22—222no—
1642C22—222no—
1643C22—4416no—
1644C22—441no—
1645C22—441no—
1646C22—441no—
1647C22—441no—
1648C22—441no—
1649C22—441no—
1650C22—441no—
1651C22—441no—
1652C22—441no—
1653C22—441no—
1654C22—441no—
1655C22—441no—
1656C22—441no—
1657C22—441no—
1658C22—441no—
1659C22—441no—
1660C22—441no—
1661C22—441no—
1662C22C22×D4×D1111yescharacteristic
1663C22C2×#41×D1111yescharacteristic
1664C22C2×#41×D1111yescharacteristic
1665C22C2×#41×D1111yescharacteristic
1666C22C2×#41×D1111yescharacteristic
1667C22C2×#6704211yescharacteristic
1668C22#1062345311yescharacteristic
1669C4—22no—
1670C4—22no—
1671C4—22no—
1672C4—41no—
1673C4—41no—
1674C4—41no—
1675C4—41no—
1676C4—41no—
1677C4—41no—
1678C4—41no—
1679C4—41no—
1680C4—41no—
1681C4—222no—
1682C4—222no—
1683C4—222no—
1684C4—222no—
1685C4—222no—
1686C4—222no—
1687C4—222no—
1688C4—222no—
1689C4—441no—
1690C4—441no—
1691C4—441no—
1692C4—441no—
1693C4#1062318514yes—
1694C2—42no—
1695C2—42no—
1696C2—224no—
1697C2—442no—
1698C2—881no—
1699C2—881no—
1700C2D11×#53211yescharacteristic
1701C2#1308191011yescharacteristic
1702C2#1308202611yescharacteristic
1703C2C2×#1062318511yescharacteristic
1704C2#1308209911yescharacteristic
1705C2#1308216811yescharacteristic
1706C2#1308222211yescharacteristic
subgroupG/H
centerC22×C4C23×D11
commutator, socle, cosocleC23×C11C25
FrattiniC23C24×D11
FittingC11×#2395C2
hypercenter#2395D11
hypocenterC11#34829
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ #2395

Complements

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

NH ≅ G/Ntype
1. C2×#10623059C2semidirect
2. C2×#10623078C2semidirect
3. #13073761C2semidirect
4. #13073738C2semidirect
5. #13073733C2semidirect
6. #13073710C2semidirect
7. #13073701C2semidirect
8. #13073684C2semidirect
9. #13073679C2semidirect
10. #13073656C2semidirect
11. #13073623C2semidirect
12. #13073573C2semidirect
13. #13073543C2semidirect
14. #13073501C2semidirect
15. #13072937C2semidirect
16. #13072735C2semidirect
17. #13072170C2semidirect
18. #13072153C2semidirect
19. #13071892C2semidirect
20. #13071860C2semidirect
21. #13071832C2semidirect
22. C4×#66938C2semidirect
23. C4×#66947C2semidirect
24. C4×#66948C2semidirect
25. C4×#66992C2semidirect
26. C4×#66935C2semidirect
27. #13071104C2semidirect
28. #13071077C2semidirect
29. C4×(C22⋊D11)⋊C4C2semidirect
30. C4×C22⋊C4×D11C2semidirect
31. C11×#2395C2semidirect
35. C2×C11×#117C22semidirect
42. C2×C4×C22⋊D11C22semidirect
43. C22×C4×Dic11C22semidirect
46. C2×#66951C22semidirect
53. C2×#66942C22semidirect
55. C2×#66938C22semidirect
66. C2×#66932C22semidirect
71. C2×C4×D44C22semidirect
73. C2×#66925C22semidirect
76. C2×C4×Dic22C22semidirect
77. C11×#400C22semidirect
79. C11×#398C22semidirect
81. C11×#397C22semidirect
82. C11×#397C22semidirect
85. C4×C11×C4⋊C4C22semidirect
86. C4×C11×C4⋊C4C22semidirect
89. C4×C11×C22⋊C4C22semidirect
94. #10622603C22semidirect
95. #10622603C22semidirect
101. #10622601C22semidirect
103. #10622598C22semidirect
104. #10622594C22semidirect
105. #10622593C22semidirect
106. #10622592C22semidirect
107. #10622587C22semidirect
108. #10622587C22semidirect
109. #10622586C22semidirect
110. #10622586C22semidirect
111. #10622585C22semidirect
113. #10622574C22semidirect
116. #10622573C22semidirect
122. #10622571C22semidirect
123. #10622571C22semidirect
124. #10622571C22semidirect
133. #10622555C22semidirect
136. C22⋊C4×Dic11C22semidirect
137. C22⋊C4×Dic11C22semidirect
142. C4×(C2×D11)⋊C4C22semidirect
143. C4×(C2×D11)⋊C4C22semidirect
144. C4×(C2×D11)⋊C4C22semidirect
145. C4×(C2×D11)⋊C4C22semidirect
146. C4×Dic11⋊C4C22semidirect
147. C4×Dic11⋊C4C22semidirect
148. C42×Dic11C22semidirect
150. #10622289C22semidirect
151. #10622288C22semidirect
153. #10622286C22semidirect
155. #10622285C22semidirect
157. #10622283C22semidirect
158. #10622283C22semidirect
159. #10622283C22semidirect
162. #10622282C22semidirect
163. #10622282C22semidirect
164. #10622282C22semidirect
165. #10622282C22semidirect
180. #10622271C22semidirect
181. #10622270C22semidirect
182. #10622270C22semidirect
183. #10622269C22semidirect
184. #10622268C22semidirect
185. #10622263C22semidirect
186. #10622262C22semidirect
187. #10622262C22semidirect
188. #10622259C22semidirect
261. C4×C22⋊D11D4semidirect
512. C2×C4×D11#41semidirect
546. C22⋊Dic11#41semidirect
578. (C2×D11)⋊C4#41semidirect
631. #2395D11semidirect
836. C2×#117C2×D11semidirect
843. #400C2×D11semidirect
849. #398C2×D11semidirect
852. #397C2×D11semidirect
853. #397C2×D11semidirect
929. C4×C4⋊C4C2×D11semidirect
930. C4×C4⋊C4C2×D11semidirect
950. C4×C22⋊C4C2×D11semidirect
1464. C11#34829semidirect

Maximal subgroups

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

subgroupindex
C2×#106230592
C2×#106230782
#130737612
#130737382
#130737332
#130737102
#130737012
#130736842
#130736792
#130736562
#130736232
#130735732
#130735432
#130735012
#130729372
#130727352
#130721702
#130721532
#130718922
#130718602
#130718322
C4×#669382
C4×#669472
C4×#669482
C4×#669922
C4×#669352
#130711042
#130710772
C4×(C22⋊D11)⋊C42
C4×C22⋊C4×D112
C11×#23952
#3482911