Finite Group Databasebeta

← #14960840

Subgroups — #14960840

Order 2816.

2644 conjugacy classes of subgroups.

The subgroup lattice has 1818 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623091C211yesmaximal, characteristic, complemented
2C2×#10623078C211yesmaximal, characteristic, complemented
3#13076909C211yesmaximal, characteristic, complemented
4#13076899C211yesmaximal, characteristic, complemented
5#13075287C211yesmaximal, characteristic, complemented
6#13075242C211yesmaximal, characteristic, complemented
7#13075212C211yesmaximal, characteristic, complemented
8#13075201C211yesmaximal, characteristic, complemented
9#13075035C211yesmaximal, characteristic, complemented
10#13074978C211yesmaximal, characteristic, complemented
11#13074966C211yesmaximal, characteristic, complemented
12#13074963C211yesmaximal, characteristic, complemented
13#13074951C211yesmaximal, characteristic, complemented
14#13074939C211yesmaximal, characteristic, complemented
15#13074936C211yesmaximal, characteristic, complemented
16#13074936C211yesmaximal, characteristic, complemented
17#13074865C211yesmaximal, characteristic, complemented
18#13074840C211yesmaximal, characteristic, complemented
19#13074831C211yesmaximal, characteristic, complemented
20#13074831C211yesmaximal, characteristic, complemented
21#13074503C211yesmaximal, characteristic, complemented
22#13074457C211yesmaximal, characteristic, complemented
23#13074297C211yesmaximal, characteristic, complemented
24#13074243C211yesmaximal, characteristic, complemented
25#13074207C211yesmaximal, characteristic, complemented
26#13074203C211yesmaximal, characteristic, complemented
27#13073587C211yesmaximal, characteristic, complemented
28#13073508C211yesmaximal, characteristic, complemented
29#13071962C211yesmaximal, characteristic, complemented
30#13071937C211yesmaximal, characteristic, complemented
31C11×#2319C211yesmaximal, characteristic, complemented
32C22×#4339C2211yescharacteristic
33C23×C4×D11C2211yescharacteristic, complemented
34C2×C4×D4×C11C2211yescharacteristic
35C2×#66992C2211yescharacteristic
36C2×#66992C2211yescharacteristic
37C2×#66990C2211yescharacteristic
38C2×#66990C2211yescharacteristic
39C2×#66983C2211yescharacteristic
40C2×#66982C2211yescharacteristic
41C2×C4×C22⋊D11C2211yescharacteristic
42C2×C4×C22⋊D11C2211yescharacteristic, complemented
43C2×C4×C22⋊D11C2211yescharacteristic, complemented
44C22×(C2×D11)⋊C4C2211yescharacteristic, complemented
45#10623091—28no—
46#10623078—28no—
47C2×#66951C2211yescharacteristic, complemented
48C2×#66950C2211yescharacteristic, complemented
49C2×#66949C2211yescharacteristic, complemented
50C2×#66948C2211yescharacteristic
51C2×#66948C2211yescharacteristic
52C2×#66948C2211yescharacteristic, complemented
53C2×#66947C2211yescharacteristic, complemented
54C2×#66947C2211yescharacteristic, complemented
55C2×#66939C2211yescharacteristic
56C2×#66939C2211yescharacteristic
57C2×#66938C2211yescharacteristic
58C2×#66937C2211yescharacteristic
59C2×#66937C2211yescharacteristic
60C2×#66936C2211yescharacteristic
61C2×#66935C2211yescharacteristic
62C2×#66935C2211yescharacteristic
63C2×#66935C2211yescharacteristic
64C2×#66935C2211yescharacteristic
65C2×#66935C2211yescharacteristic, complemented
66C2×#66935C2211yescharacteristic, complemented
67C2×#66935C2211yescharacteristic, complemented
68C2×#66935C2211yescharacteristic, complemented
69C2×#66931C2211yescharacteristic, complemented
70C2×#66931C2211yescharacteristic, complemented
71C2×#66929C2211yescharacteristic, complemented
72C2×#66928C2211yescharacteristic, complemented
73C2×#66928C2211yescharacteristic, complemented
74C2×#66927C2211yescharacteristic
75C2×C4×D44C2211yescharacteristic, complemented
76C2×#66925C2211yescharacteristic, complemented
77C11×#390C2211yescharacteristic
78C11×#390C2211yescharacteristic
79C11×#389C2211yescharacteristic, complemented
80C11×#389C2211yescharacteristic, complemented
81C11×#388C2211yescharacteristic, complemented
82C11×#388C2211yescharacteristic, complemented
83C11×#388C2211yescharacteristic, complemented
84C11×#388C2211yescharacteristic, complemented
85C11×#381C2211yescharacteristic, complemented
86C11×#381C2211yescharacteristic, complemented
87C11×#380C2211yescharacteristic, complemented
88C11×#380C2211yescharacteristic, complemented
89C4×C11×C4⋊C4C2211yescharacteristic, complemented
90C11×#376C2211yescharacteristic, complemented
91#10622607C2211yescharacteristic, complemented
92#10622607C2211yescharacteristic, complemented
93#10622607C2211yescharacteristic, complemented
94#10622607C2211yescharacteristic, complemented
95#10622607C2211yescharacteristic, complemented
96#10622607C2211yescharacteristic, complemented
97#10622604C2211yescharacteristic
98#10622604C2211yescharacteristic
99#10622604C2211yescharacteristic
100#10622604C2211yescharacteristic
101#10622604C2211yescharacteristic, complemented
102#10622604C2211yescharacteristic, complemented
103#10622604C2211yescharacteristic, complemented
104#10622604C2211yescharacteristic, complemented
105#10622601C2211yescharacteristic, complemented
106#10622600C2211yescharacteristic, complemented
107#10622600C2211yescharacteristic, complemented
108#10622596C2211yescharacteristic, complemented
109#10622596C2211yescharacteristic, complemented
110#10622587C2211yescharacteristic, complemented
111#10622574C2211yescharacteristic
112#10622574C2211yescharacteristic
113#10622574C2211yescharacteristic
114#10622574C2211yescharacteristic
115#10622574C2211yescharacteristic, complemented
116#10622574C2211yescharacteristic, complemented
117#10622574C2211yescharacteristic, complemented
118#10622574C2211yescharacteristic, complemented
119#10622573C2211yescharacteristic
120#10622573C2211yescharacteristic
121#10622573C2211yescharacteristic
122#10622573C2211yescharacteristic
123#10622573C2211yescharacteristic, complemented
124#10622573C2211yescharacteristic, complemented
125#10622571C2211yescharacteristic
126#10622571C2211yescharacteristic
127#10622571C2211yescharacteristic, complemented
128#10622571C2211yescharacteristic, complemented
129#10622568C2211yescharacteristic, complemented
130#10622568C2211yescharacteristic, complemented
131#10622566C2211yescharacteristic, complemented
132#10622566C2211yescharacteristic, complemented
133#10622556C2211yescharacteristic, complemented
134#10622556C2211yescharacteristic, complemented
135#10622553C2211yescharacteristic, complemented
136#10622553C2211yescharacteristic, complemented
137#10622553C2211yescharacteristic, complemented
138#10622553C2211yescharacteristic, complemented
139#10622553C2211yescharacteristic, complemented
140#10622553C2211yescharacteristic, complemented
141#10622552C2211yescharacteristic
142#10622552C2211yescharacteristic
143#10622552C2211yescharacteristic
144#10622552C2211yescharacteristic, complemented
145#10622552C2211yescharacteristic, complemented
146#10622552C2211yescharacteristic, complemented
147#10622542C2211yescharacteristic, complemented
148#10622541C2211yescharacteristic, complemented
149#10622290C2211yescharacteristic, complemented
150#10622287C2211yescharacteristic, complemented
151#10622286C2211yescharacteristic, complemented
152#10622286C2211yescharacteristic, complemented
153#10622286C2211yescharacteristic, complemented
154#10622285C2211yescharacteristic, complemented
155#10622285C2211yescharacteristic, complemented
156#10622285C2211yescharacteristic, complemented
157#10622284C2211yescharacteristic
158#10622284C2211yescharacteristic
159#10622284C2211yescharacteristic
160#10622284C2211yescharacteristic
161#10622284C2211yescharacteristic, complemented
162#10622283C2211yescharacteristic, complemented
163#10622283C2211yescharacteristic, complemented
164#10622283C2211yescharacteristic, complemented
165#10622283C2211yescharacteristic, complemented
166#10622281C2211yescharacteristic, complemented
167#10622281C2211yescharacteristic, complemented
168#10622281C2211yescharacteristic, complemented
169#10622281C2211yescharacteristic, complemented
170#10622281C2211yescharacteristic, complemented
171#10622281C2211yescharacteristic, complemented
172#10622278C2211yescharacteristic
173#10622278C2211yescharacteristic
174#10622278C2211yescharacteristic
175#10622278C2211yescharacteristic
176#10622278C2211yescharacteristic
177#10622278C2211yescharacteristic
178#10622278C2211yescharacteristic, complemented
179#10622278C2211yescharacteristic, complemented
180#10622278C2211yescharacteristic, complemented
181#10622278C2211yescharacteristic, complemented
182#10622278C2211yescharacteristic, complemented
183#10622278C2211yescharacteristic, complemented
184#10622274C2211yescharacteristic, complemented
185#10622272C2211yescharacteristic, complemented
186#10622269C2211yescharacteristic, complemented
187#10622266C2211yescharacteristic, complemented
188#10622266C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C24×D11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C22×C22⋊D11C2311yescharacteristic
202C23×Dic11C2311yescharacteristic
203C23×Dic11C2311yescharacteristic
204C2×#4339—24no—
205C2×#4339—42no—
206C2×#4339—42no—
207C22×D44C2311yescharacteristic
208C22×D44C2311yescharacteristic
209C22×D44C2311yescharacteristic
210C22×D44C2311yescharacteristic
211C22×D44C2311yescharacteristic
212C22×D44C2311yescharacteristic
213C22×D44C2311yescharacteristic
214C22×D44C2311yescharacteristic
215C22×D44C2311yescharacteristic
216C22×D44C2311yescharacteristic
217C22×D44C2311yescharacteristic
218C22×D44C2311yescharacteristic
219C22×D44C2311yescharacteristic
220C22×C4×D11—24no—
221C22×C4×D11—42no—
222C22×C4×D11—42no—
223C22×C4×D11C2311yescharacteristic
224C22×C4×D11C2311yescharacteristic
225C22×C4×D11C2311yescharacteristic
226C22×C4×D11C2311yescharacteristic
227C22×C4×D11C2311yescharacteristic
228C22×C4×D11C2311yescharacteristic
229C22×Dic22C2311yescharacteristic
230C22×Dic22C2311yescharacteristic
231C4×D4×C11D418yescomplemented
232C2×C11×C4⋊C4C2311yescharacteristic
233C2×C11×C4⋊C4C2311yescharacteristic
234C2×C11×C4⋊C4C2311yescharacteristic
235C2×C11×C4⋊C4C2311yescharacteristic
236C2×C11×C4⋊C4C2311yescharacteristic
237C2×C11×C4⋊C4C2311yescharacteristic
238C2×C11×C4⋊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×C42×C11C2311yescharacteristic
250C2×C42×C11C2311yescharacteristic
251C2×C42×C11C2311yescharacteristic
252C2×C42×C11C2311yescharacteristic
253C2×C42×C11C2311yescharacteristic
254C2×C22⋊Dic11C2311yescharacteristic
255C2×C22⋊Dic11C2311yescharacteristic
256C2×C22⋊Dic11C2311yescharacteristic
257C2×C22⋊Dic11C2311yescharacteristic
258#66992—24no—
259#66992—24no—
260#66990—24no—
261#66990—24no—
262#66983—24no—
263#66982—24no—
264C4×C22⋊D11—24no—
265C4×C22⋊D11—24no—
266C4×C22⋊D11—24no—
267C2×(C2×D11)⋊C4—24no—
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×(C2×D11)⋊C4C2311yescharacteristic
300C2×(C2×D11)⋊C4C2311yescharacteristic
301C2×(C2×D11)⋊C4C2311yescharacteristic
302C2×(C2×D11)⋊C4C2311yescharacteristic
303C2×(C2×D11)⋊C4C2311yescharacteristic
304C2×(C2×D11)⋊C4C2311yescharacteristic
305C2×(C2×D11)⋊C4C2311yescharacteristic
306C2×(C2×D11)⋊C4C2311yescharacteristic
307C2×(C2×D11)⋊C4C2311yescharacteristic
308C2×(C2×D11)⋊C4C2311yescharacteristic
309C2×(C2×D11)⋊C4C2311yescharacteristic
310C2×(C2×D11)⋊C4C2311yescharacteristic
311C2×(C2×D11)⋊C4C2311yescharacteristic
312C2×(C2×D11)⋊C4C2311yescharacteristic
313C2×(C2×D11)⋊C4C2311yescharacteristic
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×Dic11⋊C4C2311yescharacteristic
324C2×Dic11⋊C4C2311yescharacteristic
325C2×Dic11⋊C4C2311yescharacteristic
326C2×Dic11⋊C4C2311yescharacteristic
327C2×Dic11⋊C4C2311yescharacteristic
328C2×Dic11⋊C4C2311yescharacteristic
329C2×Dic11⋊C4C2311yescharacteristic
330C2×Dic11⋊C4C2311yescharacteristic
331C2×C4×Dic11C2311yescharacteristic
332C2×C4×Dic11C2311yescharacteristic
333#66951—24no—
334#66950—42no—
335#66949—24no—
336#66948—42no—
337#66948—42no—
338#66948—42no—
339#66947—24no—
340#66947—24no—
341#66939—42no—
342#66939—42no—
343#66938—24no—
344#66937—24no—
345#66937—24no—
346#66936—24no—
347#66935—24no—
348#66935—24no—
349#66935—42no—
350#66935—42no—
351#66935—42no—
352#66935—42no—
353#66935—42no—
354#66935—42no—
355#66931—24no—
356#66931—24no—
357#66929—24no—
358#66928—24no—
359#66928—42no—
360#66927—42no—
361C4×D44—24no—
362#66925—24no—
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#36724—111nomaximal, Sylow
392C24×C11C2411yescharacteristic
393C24×C11C2411yescharacteristic
394C23×D11—22no—
395C23×D11—22no—
396C23×D11—22no—
397C23×D11—22no—
398C23×D11—41no—
399C23×D11—41no—
400C23×D11—41no—
401C23×D11—41no—
402C23×D11—41no—
403C23×D11—41no—
404C23×D11—41no—
405C23×D11—41no—
406C23×D11—41no—
407C23×D11—41no—
408C23×D11C2411yescharacteristic
409C23×D11C2411yescharacteristic
410C23×D11C2411yescharacteristic
411C23×D11C2411yescharacteristic
412C23×D11C2411yescharacteristic
413C23×D11C2411yescharacteristic
414C2×D4×C11—41no—
415C2×D4×C11—41no—
416C2×D4×C11C2×D414yes—
417C22×C4×C11—41no—
418C22×C4×C11—41no—
419C22×C4×C11—41no—
420C22×C4×C11—41no—
421C22×C4×C11C2×D414yes—
422C22×C4×C11C2×D414yes—
423C22×C4×C11C2411yescharacteristic
424C22×C4×C11C2411yescharacteristic
425C22×C4×C11C2411yescharacteristic
426C22×C4×C11C2411yescharacteristic
427C22×C4×C11C2411yescharacteristic
428C22×C4×C11C2411yescharacteristic
429C22×C4×C11C2411yescharacteristic
430C22×C4×C11C2411yescharacteristic
431C22×C4×C11C2411yescharacteristic
432C22×C4×C11C2411yescharacteristic
433C22×C4×C11C2411yescharacteristic
434C22×C4×C11C2411yescharacteristic
435C22×C4×C11C2411yescharacteristic
436C2×C22⋊D11—22no—
437C2×C22⋊D11—22no—
438C2×C22⋊D11—22no—
439C2×C22⋊D11—22no—
440C2×C22⋊D11—22no—
441C2×C22⋊D11—22no—
442C2×C22⋊D11—22no—
443C2×C22⋊D11—22no—
444C2×C22⋊D11—22no—
445C2×C22⋊D11—22no—
446C2×C22⋊D11—22no—
447C2×C22⋊D11—41no—
448C2×C22⋊D11—41no—
449C2×C22⋊D11—41no—
450C2×C22⋊D11—41no—
451C2×C22⋊D11—41no—
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—41no—
464C22×Dic11—41no—
465C22×Dic11—41no—
466C22×Dic11C2411yescharacteristic
467C22×Dic11C2411yescharacteristic
468C22×Dic11C2411yescharacteristic
469C22×Dic11C2411yescharacteristic
470C22×Dic11C2411yescharacteristic
471C22×Dic11C2411yescharacteristic
472C22×Dic11C2411yescharacteristic
473C22×Dic11C2411yescharacteristic
474C22×Dic11C2411yescharacteristic
475C22×Dic11C2411yescharacteristic
476#4339—416no—
477C2×D44—22no—
478C2×D44—22no—
479C2×D44—22no—
480C2×D44—22no—
481C2×D44—22no—
482C2×D44—22no—
483C2×D44—22no—
484C2×D44—22no—
485C2×D44—22no—
486C2×D44—22no—
487C2×D44—22no—
488C2×D44—22no—
489C2×D44—41no—
490C2×D44—41no—
491C2×D44—41no—
492C2×D44—41no—
493C2×D44—41no—
494C2×D44—41no—
495C2×D44—41no—
496C2×D44—41no—
497C2×D44—41no—
498C2×D44—41no—
499C2×D44—41no—
500C2×D44—41no—
501C2×D44—41no—
502C2×D44—41no—
503C2×D44—41no—
504C2×D44—41no—
505C2×D44—41no—
506C2×D44—41no—
507C2×D44—41no—
508C2×D44—41no—
509C2×D44—41no—
510C2×D44—41no—
511C2×D44—41no—
512C2×D44—41no—
513C2×D44—41no—
514C2×D44—41no—
515C2×D44—41no—
516C2×C4×D11—22no—
517C2×C4×D11—22no—
518C2×C4×D11—22no—
519C2×C4×D11—22no—
520C2×C4×D11—22no—
521C2×C4×D11—22no—
522C2×C4×D11—22no—
523C2×C4×D11—22no—
524C2×C4×D11—22no—
525C2×C4×D11—22no—
526C2×C4×D11—41no—
527C2×C4×D11—41no—
528C2×C4×D11—41no—
529C2×C4×D11—41no—
530C2×C4×D11—41no—
531C2×C4×D11—41no—
532C2×C4×D11—41no—
533C2×C4×D11—41no—
534C2×C4×D11—416no—
535C2×Dic22—22no—
536C2×Dic22—22no—
537C2×Dic22—22no—
538C2×Dic22—41no—
539C2×Dic22—41no—
540C2×Dic22—41no—
541C11×C4⋊C4—41no—
542C11×C4⋊C4—41no—
543C11×C4⋊C4—41no—
544C11×C4⋊C4—41no—
545C11×C4⋊C4—41no—
546C11×C4⋊C4—41no—
547C11×C4⋊C4C2×D414yes—
548C11×C22⋊C4—41no—
549C11×C22⋊C4—41no—
550C11×C22⋊C4—41no—
551C11×C22⋊C4—41no—
552C11×C22⋊C4—41no—
553C11×C22⋊C4—41no—
554C11×C22⋊C4—41no—
555C11×C22⋊C4—41no—
556C11×C22⋊C4C2×D414yes—
557C11×C22⋊C4C2×D414yes—
558C42×C11—41no—
559C42×C11—41no—
560C42×C11—41no—
561C42×C11—41no—
562C42×C11C2×D414yes—
563C22⋊Dic11—22no—
564C22⋊Dic11—22no—
565C22⋊Dic11—22no—
566C22⋊Dic11—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—22no—
589(C2×D11)⋊C4—22no—
590(C2×D11)⋊C4—41no—
591(C2×D11)⋊C4—41no—
592(C2×D11)⋊C4—41no—
593(C2×D11)⋊C4—41no—
594(C2×D11)⋊C4—41no—
595(C2×D11)⋊C4—41no—
596(C2×D11)⋊C4—41no—
597(C2×D11)⋊C4—41no—
598(C2×D11)⋊C4—41no—
599(C2×D11)⋊C4—41no—
600(C2×D11)⋊C4—41no—
601(C2×D11)⋊C4—41no—
602(C2×D11)⋊C4—41no—
603(C2×D11)⋊C4—41no—
604(C2×D11)⋊C4—41no—
605(C2×D11)⋊C4—41no—
606(C2×D11)⋊C4—41no—
607(C2×D11)⋊C4—41no—
608(C2×D11)⋊C4—41no—
609(C2×D11)⋊C4—41no—
610(C2×D11)⋊C4—41no—
611(C2×D11)⋊C4—41no—
612(C2×D11)⋊C4—41no—
613C4⋊Dic11—22no—
614C4⋊Dic11—22no—
615C4⋊Dic11—22no—
616C4⋊Dic11—41no—
617C4⋊Dic11—41no—
618C4⋊Dic11—41no—
619C4⋊Dic11—41no—
620C4⋊Dic11—41no—
621C4⋊Dic11—41no—
622Dic11⋊C4—22no—
623Dic11⋊C4—22no—
624Dic11⋊C4—22no—
625Dic11⋊C4—22no—
626Dic11⋊C4—22no—
627Dic11⋊C4—22no—
628Dic11⋊C4—22no—
629Dic11⋊C4—22no—
630C4×Dic11—22no—
631C4×Dic11—22no—
632C2×#538—111no—
633C2×#525—111no—
634#2849—111no—
635#2847—111no—
636#2705—111no—
637#2702—111no—
638#2700—111no—
639#2699—111no—
640#2687—111no—
641#2682—111no—
642#2681—111no—
643#2681—111no—
644#2679—111no—
645#2678—111no—
646#2678—111no—
647#2678—111no—
648#2672—111no—
649#2670—111no—
650#2669—111no—
651#2669—111no—
652#2635—111no—
653#2630—111no—
654#2610—111no—
655#2603—111no—
656#2601—111no—
657#2600—111no—
658#2544—111no—
659#2534—111no—
660#2407—111no—
661#2404—111no—
662#2319D1111yescharacteristic, complemented
663C23×C11—21no—
664C23×C11—21no—
665C23×C11—21no—
666C23×C11—21no—
667C23×C11—21no—
668C23×C11—21no—
669C23×C11—21no—
670C23×C11—21no—
671C23×C11—21no—
672C23×C11—21no—
673C23×C11—21no—
674C23×C11—21no—
675C23×C11C22×D412yes—
676C23×C11C22×D412yes—
677C23×C11C2511yescharacteristic
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—21no—
700C22×D11—21no—
701C22×D11—21no—
702C22×D11—21no—
703C22×D11—21no—
704C22×D11—21no—
705C22×D11—21no—
706C22×D11—21no—
707C22×D11—21no—
708C22×D11—21no—
709C22×D11—21no—
710C22×D11—21no—
711C22×D11—21no—
712C22×D11—21no—
713C22×D11—21no—
714C22×D11—21no—
715C22×D11—21no—
716C22×D11—21no—
717C22×D11—21no—
718C22×D11—44no—
719C22×D11—44no—
720C22×D11—44no—
721C22×D11—44no—
722C22×D11—44no—
723C22×D11—44no—
724C22×D11—44no—
725C22×D11—44no—
726C22×D11—82no—
727C22×D11—82no—
728C22×D11—82no—
729C22×D11—82no—
730C22×D11—82no—
731C22×D11—82no—
732C22×D11H(5,𝔽2)12yes—
733C22×D11H(5,𝔽2)12yes—
734D4×C11—44no—
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—21no—
746C2×C4×C11—21no—
747C2×C4×C11—21no—
748C2×C4×C11—21no—
749C2×C4×C11—21no—
750C2×C4×C11—21no—
751C2×C4×C11—21no—
752C2×C4×C11—21no—
753C2×C4×C11—21no—
754C2×C4×C11—21no—
755C2×C4×C11—21no—
756C2×C4×C11—21no—
757C2×C4×C11—21no—
758C2×C4×C11—21no—
759C2×C4×C11—21no—
760C2×C4×C11—21no—
761C2×C4×C11—21no—
762C2×C4×C11—21no—
763C2×C4×C11—21no—
764C2×C4×C11—21no—
765C2×C4×C11—21no—
766C2×C4×C11—21no—
767C2×C4×C11—21no—
768C2×C4×C11—21no—
769C2×C4×C11—44no—
770C2×C4×C11—44no—
771C2×C4×C11C22×D412yes—
772C2×C4×C11C22×D412yes—
773C2×C4×C11C22×D412yes—
774C2×C4×C11C22×D412yes—
775C2×C4×C11C22×D412yes—
776C22⋊D11—44no—
777C22⋊D11—44no—
778C22⋊D11—44no—
779C22⋊D11—44no—
780C22⋊D11—44no—
781C22⋊D11—82no—
782C22⋊D11—82no—
783C22⋊D11—82no—
784C2×Dic11—21no—
785C2×Dic11—21no—
786C2×Dic11—21no—
787C2×Dic11—21no—
788C2×Dic11—21no—
789C2×Dic11—21no—
790C2×Dic11—21no—
791C2×Dic11—21no—
792C2×Dic11—21no—
793C2×Dic11—21no—
794C2×Dic11—21no—
795C2×Dic11—21no—
796C2×Dic11—21no—
797C2×Dic11—21no—
798C2×Dic11—21no—
799C2×Dic11—21no—
800C2×Dic11—21no—
801C2×Dic11—21no—
802C2×Dic11—21no—
803C2×Dic11—21no—
804C2×Dic11—21no—
805C2×Dic11—21no—
806C2×Dic11—21no—
807C2×Dic11—21no—
808C2×Dic11—21no—
809C2×Dic11—21no—
810C2×Dic11—21no—
811C2×Dic11—21no—
812C2×Dic11—21no—
813C2×Dic11—44no—
814C2×Dic11—82no—
815C2×Dic11H(5,𝔽2)12yes—
816D44—44no—
817D44—44no—
818D44—82no—
819D44—82no—
820D44—82no—
821D44—82no—
822D44—82no—
823D44—82no—
824D44—82no—
825D44—82no—
826D44—82no—
827D44—82no—
828D44—82no—
829C4×D11—28no—
830C4×D11—44no—
831C4×D11—44no—
832C4×D11—44no—
833C4×D11—44no—
834C4×D11—82no—
835Dic22—44no—
836Dic22—82no—
837C22×#41—111no—
838C24×C4—111no—
839#538—228no—
840C2×#127—111no—
841C2×#126—111no—
842C2×#126—111no—
843C2×#124—111no—
844C2×#124—111no—
845C2×#124—111no—
846#525—228no—
847C2×#123—111no—
848C2×#123—111no—
849C2×#123—111no—
850C2×#123—111no—
851C2×#123—111no—
852C2×#123—111no—
853C2×C22⋊Q8—111no—
854C2×C22⋊Q8—111no—
855C2×C22⋊Q8—111no—
856C2×C22⋊Q8—111no—
857C2×#121—111no—
858C2×#121—111no—
859C2×#121—111no—
860C2×#121—111no—
861C2×#121—111no—
862C2×#121—111no—
863C2×#121—111no—
864C2×#121—111no—
865C2×#120—111no—
866C2×#120—111no—
867C2×#120—111no—
868C2×#120—111no—
869C2×#120—111no—
870C2×#120—111no—
871C2×#120—111no—
872C2×#120—111no—
873C2×#120—111no—
874C2×#120—111no—
875C2×C4×D4—111no—
876C2×C4×D4—111no—
877C2×C4×D4—111no—
878C2×C4×D4—111no—
879C2×C4×D4C2×D1111yescharacteristic
880C2×#117—111no—
881C22×C22⋊C4—111no—
882#400—111no—
883#399—111no—
884#398—111no—
885#398—111no—
886#398—111no—
887#397—111no—
888#397—111no—
889#397—111no—
890#396—111no—
891#396—111no—
892#396—111no—
893#396—111no—
894#396—111no—
895#396—111no—
896#395—111no—
897#394—111no—
898#394—111no—
899#394—111no—
900#394—111no—
901#394—111no—
902#394—111no—
903#394—111no—
904#394—111no—
905#394—111no—
906#394—111no—
907#394—111no—
908#394—111no—
909#394—111no—
910#394—111no—
911#394—111no—
912#394—111no—
913#394—111no—
914#394—111no—
915#394—111no—
916#393—111no—
917#393—111no—
918#393—111no—
919#392—111no—
920#392—111no—
921#392—111no—
922#392—111no—
923#392—111no—
924#392—111no—
925#392—111no—
926#392—111no—
927#392—111no—
928#392—111no—
929#392—111no—
930#391—111no—
931#391—111no—
932#390—111no—
933#390—111no—
934#390—111no—
935#390—111no—
936#390—111no—
937#390—111no—
938#390—111no—
939#390C2×D1111yescharacteristic
940#390C2×D1111yescharacteristic
941#389—111no—
942#389C2×D1111yescharacteristic, complemented
943#389C2×D1111yescharacteristic, complemented
944#388—111no—
945#388—111no—
946#388—111no—
947#388—111no—
948#388—111no—
949#388—111no—
950#388—111no—
951#388—111no—
952#388—111no—
953#388—111no—
954#388C2×D1111yescharacteristic, complemented
955#388C2×D1111yescharacteristic, complemented
956#388C2×D1111yescharacteristic, complemented
957#388C2×D1111yescharacteristic, complemented
958#387—111no—
959#387—111no—
960#386—111no—
961#386—111no—
962#386—111no—
963#386—111no—
964#386—111no—
965#386—111no—
966#386—111no—
967#386—111no—
968#386—111no—
969#386—111no—
970#386—111no—
971#386—111no—
972#386—111no—
973#386—111no—
974#386—111no—
975#386—111no—
976#385—111no—
977#385—111no—
978#385—111no—
979#385—111no—
980#385—111no—
981#385—111no—
982#381—111no—
983#381—111no—
984#381C2×D1111yescharacteristic, complemented
985#381C2×D1111yescharacteristic, complemented
986#380—111no—
987#380—111no—
988#380C2×D1111yescharacteristic, complemented
989#380C2×D1111yescharacteristic, complemented
990#379—111no—
991#379—111no—
992C4×C4⋊C4C2×D1111yescharacteristic, complemented
993#376C2×D1111yescharacteristic, complemented
994C22×C11—22no—
995C22×C11—22no—
996C22×C11—22no—
997C22×C11—22no—
998C22×C11—22no—
999C22×C11—22no—
1000C22×C11—41no—
1001C22×C11—41no—
1002C22×C11—41no—
1003C22×C11—41no—
1004C22×C11—41no—
1005C22×C11—41no—
1006C22×C11—41no—
1007C22×C11—41no—
1008C22×C11C23×D411yescharacteristic
1009C22×C11C2×H(5,𝔽2)11yescharacteristic
1010C22×C11C2×H(5,𝔽2)11yescharacteristic
1011C22×C11C2×H(5,𝔽2)11yescharacteristic
1012C22×C11#58511yescharacteristic
1013C22×C11#58511yescharacteristic
1014C22×C11#58511yescharacteristic
1015C2×D11—22no—
1016C2×D11—22no—
1017C2×D11—22no—
1018C2×D11—22no—
1019C2×D11—22no—
1020C2×D11—22no—
1021C2×D11—416no—
1022C2×D11—41no—
1023C2×D11—41no—
1024C2×D11—41no—
1025C2×D11—41no—
1026C2×D11—41no—
1027C2×D11—41no—
1028C2×D11—41no—
1029C2×D11—41no—
1030C2×D11—41no—
1031C2×D11—41no—
1032C2×D11—41no—
1033C2×D11—41no—
1034C2×D11—41no—
1035C2×D11—41no—
1036C2×D11—41no—
1037C2×D11—41no—
1038C2×D11—41no—
1039C2×D11—41no—
1040C2×D11—41no—
1041C2×D11—41no—
1042C2×D11—41no—
1043C2×D11—41no—
1044C2×D11—41no—
1045C2×D11—41no—
1046C2×D11—41no—
1047C2×D11—41no—
1048C2×D11—41no—
1049C2×D11—41no—
1050C2×D11—41no—
1051C2×D11—41no—
1052C2×D11—41no—
1053C2×D11—41no—
1054C2×D11—41no—
1055C2×D11—41no—
1056C2×D11—41no—
1057C2×D11—41no—
1058C2×D11—88no—
1059C4×C11—22no—
1060C4×C11—22no—
1061C4×C11—22no—
1062C4×C11—22no—
1063C4×C11—22no—
1064C4×C11—41no—
1065C4×C11—41no—
1066C4×C11—41no—
1067C4×C11—41no—
1068C4×C11—41no—
1069C4×C11—41no—
1070C4×C11—41no—
1071C4×C11—41no—
1072Dic11—22no—
1073Dic11—41no—
1074Dic11—41no—
1075Dic11—41no—
1076Dic11—41no—
1077Dic11—41no—
1078Dic11—41no—
1079Dic11—41no—
1080Dic11—41no—
1081Dic11—41no—
1082C25—111no—
1083C25—111no—
1084C2×#41—224no—
1085C2×#41—442no—
1086C2×#41—442no—
1087C22×Q8—111no—
1088C22×Q8—111no—
1089C22×D4—111no—
1090C22×D4—111no—
1091C22×D4—111no—
1092C22×D4—111no—
1093C22×D4—111no—
1094C22×D4—111no—
1095C22×D4—111no—
1096C22×D4—111no—
1097C22×D4—111no—
1098C22×D4—111no—
1099C22×D4—111no—
1100C22×D4—111no—
1101C22×D4—111no—
1102C22×D4—111no—
1103C22×D4—111no—
1104C22×D4—111no—
1105C22×D4—111no—
1106C22×D4—111no—
1107C22×D4—111no—
1108C22×D4—111no—
1109C22×D4—111no—
1110C22×D4C22×D1111yescharacteristic
1111C23×C4—111no—
1112C23×C4—111no—
1113C23×C4—111no—
1114C23×C4—111no—
1115C23×C4—111no—
1116C23×C4—111no—
1117C23×C4—111no—
1118C23×C4—111no—
1119C23×C4—224no—
1120C23×C4—442no—
1121C23×C4—442no—
1122C23×C4C22×D1111yescharacteristic
1123C23×C4C22×D1111yescharacteristic
1124#127—442no—
1125#126—224no—
1126#126—224no—
1127#124—224no—
1128#124—224no—
1129#124—442no—
1130#123—224no—
1131#123—224no—
1132#123—224no—
1133#123—224no—
1134#123—442no—
1135#123—442no—
1136C22⋊Q8—224no—
1137C22⋊Q8—224no—
1138C22⋊Q8—224no—
1139C22⋊Q8—442no—
1140#121—224no—
1141#121—224no—
1142#121—224no—
1143#121—224no—
1144#121—224no—
1145#121—442no—
1146#121—442no—
1147#121—442no—
1148#120—224no—
1149#120—224no—
1150#120—224no—
1151#120—224no—
1152#120—442no—
1153#120—442no—
1154#120—442no—
1155#120—442no—
1156#120—442no—
1157#120—442no—
1158C4×D4—224no—
1159C4×D4—224no—
1160C4×D4—224no—
1161C4×D4—224no—
1162C4×D4D4418yescomplemented
1163#117—224no—
1164C2×C4⋊C4—111no—
1165C2×C4⋊C4—111no—
1166C2×C4⋊C4—111no—
1167C2×C4⋊C4—111no—
1168C2×C4⋊C4—111no—
1169C2×C4⋊C4—111no—
1170C2×C4⋊C4—111no—
1171C2×C4⋊C4—111no—
1172C2×C4⋊C4—111no—
1173C2×C4⋊C4—111no—
1174C2×C4⋊C4—111no—
1175C2×C4⋊C4—111no—
1176C2×C4⋊C4—111no—
1177C2×C4⋊C4—111no—
1178C2×C4⋊C4—111no—
1179C2×C4⋊C4—111no—
1180C2×C4⋊C4—111no—
1181C2×C4⋊C4C22×D1111yescharacteristic
1182C2×C4⋊C4C22×D1111yescharacteristic
1183C2×C4⋊C4C22×D1111yescharacteristic
1184C2×C4⋊C4C22×D1111yescharacteristic
1185C2×C4⋊C4C22×D1111yescharacteristic
1186C2×C4⋊C4C22×D1111yescharacteristic
1187C2×C4⋊C4C22×D1111yescharacteristic
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—111no—
1198C2×C22⋊C4—111no—
1199C2×C22⋊C4—111no—
1200C2×C22⋊C4—111no—
1201C2×C22⋊C4—111no—
1202C2×C22⋊C4—111no—
1203C2×C22⋊C4—111no—
1204C2×C22⋊C4—111no—
1205C2×C22⋊C4—111no—
1206C2×C22⋊C4—111no—
1207C2×C22⋊C4—111no—
1208C2×C22⋊C4—111no—
1209C2×C22⋊C4—111no—
1210C2×C22⋊C4—111no—
1211C2×C22⋊C4—111no—
1212C2×C22⋊C4—111no—
1213C2×C22⋊C4—111no—
1214C2×C22⋊C4—111no—
1215C2×C22⋊C4—111no—
1216C2×C22⋊C4—111no—
1217C2×C22⋊C4—111no—
1218C2×C22⋊C4—111no—
1219C2×C22⋊C4—111no—
1220C2×C22⋊C4—111no—
1221C2×C22⋊C4—111no—
1222C2×C22⋊C4—111no—
1223C2×C22⋊C4—111no—
1224C2×C22⋊C4—111no—
1225C2×C22⋊C4—111no—
1226C2×C22⋊C4—111no—
1227C2×C22⋊C4—111no—
1228C2×C22⋊C4—111no—
1229C2×C22⋊C4—111no—
1230C2×C22⋊C4—111no—
1231C2×C22⋊C4—111no—
1232C2×C22⋊C4—111no—
1233C2×C22⋊C4—111no—
1234C2×C22⋊C4—111no—
1235C2×C22⋊C4—111no—
1236C2×C22⋊C4—111no—
1237C2×C22⋊C4—111no—
1238C2×C22⋊C4—224no—
1239C2×C22⋊C4C22×D1111yescharacteristic
1240C2×C22⋊C4C22×D1111yescharacteristic
1241C2×C22⋊C4C22×D1111yescharacteristic
1242C2×C22⋊C4C22×D1111yescharacteristic
1243C2×C22⋊C4C22×D1111yescharacteristic
1244C2×C22⋊C4C22×D1111yescharacteristic
1245C2×C22⋊C4C22×D1111yescharacteristic
1246C2×C22⋊C4C22×D1111yescharacteristic
1247C2×C22⋊C4C22×D1111yescharacteristic
1248C2×C22⋊C4C22×D1111yescharacteristic
1249C2×C42—111no—
1250C2×C42—111no—
1251C2×C42C22×D1111yescharacteristic
1252C2×C42C22×D1111yescharacteristic
1253C2×C42C22×D1111yescharacteristic
1254C2×C42C22×D1111yescharacteristic
1255C2×C42C22×D1111yescharacteristic
1256#95—111no—
1257#95—111no—
1258#95—111no—
1259#95—111no—
1260#95—111no—
1261#95—111no—
1262#95—111no—
1263#95—111no—
1264#95—111no—
1265#95—111no—
1266#95—111no—
1267#95—111no—
1268#95—111no—
1269#95—111no—
1270#95—111no—
1271#95—111no—
1272#95—111no—
1273#95—111no—
1274#95C22×D1111yescharacteristic
1275#95C22×D1111yescharacteristic
1276#95C22×D1111yescharacteristic
1277#95C22×D1111yescharacteristic
1278#95C22×D1111yescharacteristic
1279#95C22×D1111yescharacteristic
1280#95C22×D1111yescharacteristic
1281#95C22×D1111yescharacteristic
1282#95C22×D1111yescharacteristic
1283#95C22×D1111yescharacteristic
1284C2×C11—42no—
1285C2×C11—42no—
1286C2×C11#344911yescharacteristic
1287C2×C11#348411yescharacteristic
1288C2×C11#348811yescharacteristic
1289C2×C11#353311yescharacteristic
1290C2×C11#353411yescharacteristic
1291C2×C11#354011yescharacteristic
1292C2×C11#354211yescharacteristic
1293D11—42no—
1294D11—42no—
1295D11—81no—
1296D11—81no—
1297D11—81no—
1298D11—81no—
1299C24—111no—
1300C24—111no—
1301C24—111no—
1302C24—111no—
1303C24—111no—
1304C24—111no—
1305C24—222no—
1306C24—222no—
1307C24—222no—
1308C24—222no—
1309C24—441no—
1310C24—441no—
1311C24—441no—
1312C24—441no—
1313C24—441no—
1314C24—441no—
1315C24—441no—
1316C24—441no—
1317C24—441no—
1318C24—441no—
1319C24C23×D1111yescharacteristic
1320C24C23×D1111yescharacteristic
1321#41—4416no—
1322C2×Q8—222no—
1323C2×Q8—222no—
1324C2×Q8—222no—
1325C2×Q8—441no—
1326C2×Q8—441no—
1327C2×Q8—441no—
1328C2×D4—41no—
1329C2×D4—41no—
1330C2×D4—222no—
1331C2×D4—222no—
1332C2×D4—222no—
1333C2×D4—222no—
1334C2×D4—222no—
1335C2×D4—222no—
1336C2×D4—222no—
1337C2×D4—222no—
1338C2×D4—222no—
1339C2×D4—222no—
1340C2×D4—222no—
1341C2×D4—222no—
1342C2×D4—222no—
1343C2×D4—222no—
1344C2×D4—222no—
1345C2×D4—222no—
1346C2×D4—222no—
1347C2×D4—222no—
1348C2×D4—222no—
1349C2×D4—222no—
1350C2×D4—222no—
1351C2×D4—222no—
1352C2×D4—222no—
1353C2×D4—441no—
1354C2×D4—441no—
1355C2×D4—441no—
1356C2×D4—441no—
1357C2×D4—441no—
1358C2×D4—441no—
1359C2×D4—441no—
1360C2×D4—441no—
1361C2×D4—441no—
1362C2×D4—441no—
1363C2×D4—441no—
1364C2×D4—441no—
1365C2×D4—441no—
1366C2×D4—441no—
1367C2×D4—441no—
1368C2×D4—441no—
1369C2×D4—441no—
1370C2×D4—441no—
1371C2×D4—441no—
1372C2×D4—441no—
1373C2×D4—441no—
1374C2×D4—441no—
1375C2×D4—441no—
1376C2×D4—441no—
1377C2×D4—441no—
1378C2×D4—441no—
1379C2×D4—441no—
1380C2×D4—441no—
1381C2×D4—441no—
1382C2×D4—441no—
1383C2×D4—441no—
1384C2×D4—441no—
1385C2×D4—441no—
1386C2×D4—441no—
1387C2×D4—441no—
1388C2×D4—441no—
1389C2×D4—441no—
1390C2×D4—441no—
1391C2×D4—441no—
1392C2×D4—441no—
1393C2×D4C2×D4414yes—
1394C22×C4—41no—
1395C22×C4—41no—
1396C22×C4—41no—
1397C22×C4—41no—
1398C22×C4—111no—
1399C22×C4—111no—
1400C22×C4—111no—
1401C22×C4—111no—
1402C22×C4—111no—
1403C22×C4—111no—
1404C22×C4—111no—
1405C22×C4—111no—
1406C22×C4—111no—
1407C22×C4—111no—
1408C22×C4—222no—
1409C22×C4—222no—
1410C22×C4—222no—
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—441no—
1422C22×C4—441no—
1423C22×C4—441no—
1424C22×C4—441no—
1425C22×C4—441no—
1426C22×C4—441no—
1427C22×C4—441no—
1428C22×C4—441no—
1429C22×C4—4416no—
1430C22×C4—441no—
1431C22×C4—441no—
1432C22×C4—441no—
1433C22×C4C2×D4414yes—
1434C22×C4C2×D4414yes—
1435C22×C4C23×D1111yescharacteristic
1436C22×C4C23×D1111yescharacteristic
1437C22×C4C23×D1111yescharacteristic
1438C22×C4C23×D1111yescharacteristic
1439C22×C4C23×D1111yescharacteristic
1440C22×C4C23×D1111yescharacteristic
1441C22×C4C23×D1111yescharacteristic
1442C22×C4C23×D1111yescharacteristic
1443C22×C4C23×D1111yescharacteristic
1444C22×C4C23×D1111yescharacteristic
1445C22×C4C23×D1111yescharacteristic
1446C22×C4C23×D1111yescharacteristic
1447C22×C4C23×D1111yescharacteristic
1448C4⋊C4—41no—
1449C4⋊C4—41no—
1450C4⋊C4—41no—
1451C4⋊C4—41no—
1452C4⋊C4—41no—
1453C4⋊C4—41no—
1454C4⋊C4—222no—
1455C4⋊C4—222no—
1456C4⋊C4—222no—
1457C4⋊C4—222no—
1458C4⋊C4—222no—
1459C4⋊C4—222no—
1460C4⋊C4—222no—
1461C4⋊C4—222no—
1462C4⋊C4—222no—
1463C4⋊C4—222no—
1464C4⋊C4—222no—
1465C4⋊C4—441no—
1466C4⋊C4—441no—
1467C4⋊C4—441no—
1468C4⋊C4—441no—
1469C4⋊C4—441no—
1470C4⋊C4—441no—
1471C4⋊C4C2×D4414yes—
1472C22⋊C4—41no—
1473C22⋊C4—41no—
1474C22⋊C4—41no—
1475C22⋊C4—41no—
1476C22⋊C4—41no—
1477C22⋊C4—41no—
1478C22⋊C4—41no—
1479C22⋊C4—41no—
1480C22⋊C4—222no—
1481C22⋊C4—222no—
1482C22⋊C4—222no—
1483C22⋊C4—222no—
1484C22⋊C4—222no—
1485C22⋊C4—222no—
1486C22⋊C4—222no—
1487C22⋊C4—222no—
1488C22⋊C4—222no—
1489C22⋊C4—222no—
1490C22⋊C4—222no—
1491C22⋊C4—222no—
1492C22⋊C4—222no—
1493C22⋊C4—222no—
1494C22⋊C4—222no—
1495C22⋊C4—222no—
1496C22⋊C4—222no—
1497C22⋊C4—222no—
1498C22⋊C4—222no—
1499C22⋊C4—222no—
1500C22⋊C4—222no—
1501C22⋊C4—222no—
1502C22⋊C4—222no—
1503C22⋊C4—222no—
1504C22⋊C4—222no—
1505C22⋊C4—222no—
1506C22⋊C4—222no—
1507C22⋊C4—441no—
1508C22⋊C4—441no—
1509C22⋊C4—441no—
1510C22⋊C4—441no—
1511C22⋊C4—441no—
1512C22⋊C4—441no—
1513C22⋊C4—441no—
1514C22⋊C4—441no—
1515C22⋊C4—441no—
1516C22⋊C4—441no—
1517C22⋊C4—441no—
1518C22⋊C4—441no—
1519C22⋊C4—441no—
1520C22⋊C4—441no—
1521C22⋊C4—441no—
1522C22⋊C4—441no—
1523C22⋊C4—441no—
1524C22⋊C4—441no—
1525C22⋊C4—441no—
1526C22⋊C4—441no—
1527C22⋊C4—441no—
1528C22⋊C4—441no—
1529C22⋊C4—441no—
1530C22⋊C4C2×D4414yes—
1531C22⋊C4C2×D4414yes—
1532C42—41no—
1533C42—41no—
1534C42—41no—
1535C42—41no—
1536C42—222no—
1537C42—222no—
1538C42C2×D4414yes—
1539C11#3672411yescharacteristic, complemented, Sylow
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—112no—
1553C23—112no—
1554C23—221no—
1555C23—221no—
1556C23—221no—
1557C23—221no—
1558C23—221no—
1559C23—221no—
1560C23—221no—
1561C23—221no—
1562C23—221no—
1563C23—221no—
1564C23—221no—
1565C23—221no—
1566C23—221no—
1567C23—221no—
1568C23—221no—
1569C23—221no—
1570C23—221no—
1571C23—221no—
1572C23—221no—
1573C23—221no—
1574C23—221no—
1575C23—221no—
1576C23—221no—
1577C23—221no—
1578C23—221no—
1579C23—221no—
1580C23—221no—
1581C23—221no—
1582C23—221no—
1583C23—221no—
1584C23—221no—
1585C23—221no—
1586C23—221no—
1587C23—221no—
1588C23—221no—
1589C23—221no—
1590C23—221no—
1591C23—221no—
1592C23—221no—
1593C23—221no—
1594C23—444no—
1595C23—444no—
1596C23—444no—
1597C23—444no—
1598C23—444no—
1599C23—444no—
1600C23—444no—
1601C23—444no—
1602C23—882no—
1603C23—882no—
1604C23—882no—
1605C23—882no—
1606C23—882no—
1607C23—882no—
1608C23C22×D4412yes—
1609C23C22×D4412yes—
1610C23C24×D1111yescharacteristic
1611Q8—444no—
1612Q8—882no—
1613D4—44no—
1614D4—444no—
1615D4—444no—
1616D4—444no—
1617D4—444no—
1618D4—444no—
1619D4—444no—
1620D4—444no—
1621D4—882no—
1622D4—882no—
1623D4—882no—
1624D4—882no—
1625D4—882no—
1626D4—882no—
1627D4—882no—
1628D4—882no—
1629D4—882no—
1630D4—882no—
1631D4—882no—
1632D4—882no—
1633D4—882no—
1634D4—882no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—44no—
1670C2×C4—44no—
1671C2×C4—112no—
1672C2×C4—228no—
1673C2×C4—221no—
1674C2×C4—221no—
1675C2×C4—221no—
1676C2×C4—221no—
1677C2×C4—221no—
1678C2×C4—221no—
1679C2×C4—221no—
1680C2×C4—221no—
1681C2×C4—221no—
1682C2×C4—221no—
1683C2×C4—221no—
1684C2×C4—221no—
1685C2×C4—221no—
1686C2×C4—221no—
1687C2×C4—221no—
1688C2×C4—221no—
1689C2×C4—221no—
1690C2×C4—221no—
1691C2×C4—221no—
1692C2×C4—221no—
1693C2×C4—221no—
1694C2×C4—221no—
1695C2×C4—221no—
1696C2×C4—221no—
1697C2×C4—221no—
1698C2×C4—221no—
1699C2×C4—221no—
1700C2×C4—221no—
1701C2×C4—221no—
1702C2×C4—444no—
1703C2×C4—444no—
1704C2×C4—444no—
1705C2×C4—444no—
1706C2×C4—444no—
1707C2×C4—882no—
1708C2×C4—882no—
1709C2×C4C22×D4412yes—
1710C2×C4C22×D4412yes—
1711C2×C4C22×D4412yes—
1712C2×C4C22×D4412yes—
1713C2×C4C22×D4412yes—
1714C22—22no—
1715C22—22no—
1716C22—22no—
1717C22—22no—
1718C22—22no—
1719C22—22no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—222no—
1729C22—222no—
1730C22—222no—
1731C22—222no—
1732C22—222no—
1733C22—222no—
1734C22—4416no—
1735C22—441no—
1736C22—441no—
1737C22—441no—
1738C22—441no—
1739C22—441no—
1740C22—441no—
1741C22—441no—
1742C22—441no—
1743C22—441no—
1744C22—441no—
1745C22—441no—
1746C22—441no—
1747C22—441no—
1748C22—441no—
1749C22—441no—
1750C22—441no—
1751C22—441no—
1752C22—441no—
1753C22—441no—
1754C22—441no—
1755C22—441no—
1756C22—441no—
1757C22—441no—
1758C22—441no—
1759C22—441no—
1760C22—441no—
1761C22—441no—
1762C22—441no—
1763C22—441no—
1764C22—441no—
1765C22—441no—
1766C22—441no—
1767C22—441no—
1768C22—441no—
1769C22—441no—
1770C22—441no—
1771C22—888no—
1772C22C23×D4411yescharacteristic
1773C22#1062345311yescharacteristic
1774C22#1062345311yescharacteristic
1775C22D11×H(5,𝔽2)11yescharacteristic
1776C22D11×H(5,𝔽2)11yescharacteristic
1777C22D11×H(5,𝔽2)11yescharacteristic
1778C22#1062345711yescharacteristic
1779C4—22no—
1780C4—22no—
1781C4—22no—
1782C4—22no—
1783C4—22no—
1784C4—41no—
1785C4—41no—
1786C4—41no—
1787C4—41no—
1788C4—41no—
1789C4—41no—
1790C4—41no—
1791C4—41no—
1792C4—222no—
1793C4—441no—
1794C4—441no—
1795C4—441no—
1796C4—441no—
1797C4—441no—
1798C4—441no—
1799C4—441no—
1800C4—441no—
1801C4—441no—
1802C2—42no—
1803C2—42no—
1804C2—442no—
1805C2—442no—
1806C2—881no—
1807C2—881no—
1808C2—881no—
1809C2—881no—
1810C2#1308194911yescharacteristic
1811C2#1308225211yescharacteristic
1812C2#1308228611yescharacteristic
1813C2#1308277911yescharacteristic
1814C2#1308279911yescharacteristic
1815C2#1308288111yescharacteristic
1816C2#1308292311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2319C2
hypercenter#2319D11
hypocenterC11#36724
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2319

Complements

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

NH ≅ G/Ntype
1. C2×#10623091C2semidirect
2. C2×#10623078C2semidirect
3. #13076909C2semidirect
4. #13076899C2semidirect
5. #13075287C2semidirect
6. #13075242C2semidirect
7. #13075212C2semidirect
8. #13075201C2semidirect
9. #13075035C2semidirect
10. #13074978C2semidirect
11. #13074966C2semidirect
12. #13074963C2semidirect
13. #13074951C2semidirect
14. #13074939C2semidirect
15. #13074936C2semidirect
16. #13074936C2semidirect
17. #13074865C2semidirect
18. #13074840C2semidirect
19. #13074831C2semidirect
20. #13074831C2semidirect
21. #13074503C2semidirect
22. #13074457C2semidirect
23. #13074297C2semidirect
24. #13074243C2semidirect
25. #13074207C2semidirect
26. #13074203C2semidirect
27. #13073587C2semidirect
28. #13073508C2semidirect
29. #13071962C2semidirect
30. #13071937C2semidirect
31. C11×#2319C2semidirect
33. C23×C4×D11C22semidirect
42. C2×C4×C22⋊D11C22semidirect
43. C2×C4×C22⋊D11C22semidirect
44. C22×(C2×D11)⋊C4C22semidirect
47. C2×#66951C22semidirect
48. C2×#66950C22semidirect
49. C2×#66949C22semidirect
52. C2×#66948C22semidirect
53. C2×#66947C22semidirect
54. C2×#66947C22semidirect
65. C2×#66935C22semidirect
66. C2×#66935C22semidirect
67. C2×#66935C22semidirect
68. C2×#66935C22semidirect
69. C2×#66931C22semidirect
70. C2×#66931C22semidirect
71. C2×#66929C22semidirect
72. C2×#66928C22semidirect
73. C2×#66928C22semidirect
75. C2×C4×D44C22semidirect
76. C2×#66925C22semidirect
79. C11×#389C22semidirect
80. C11×#389C22semidirect
81. C11×#388C22semidirect
82. C11×#388C22semidirect
83. C11×#388C22semidirect
84. C11×#388C22semidirect
85. C11×#381C22semidirect
86. C11×#381C22semidirect
87. C11×#380C22semidirect
88. C11×#380C22semidirect
89. C4×C11×C4⋊C4C22semidirect
90. C11×#376C22semidirect
91. #10622607C22semidirect
92. #10622607C22semidirect
93. #10622607C22semidirect
94. #10622607C22semidirect
95. #10622607C22semidirect
96. #10622607C22semidirect
101. #10622604C22semidirect
102. #10622604C22semidirect
103. #10622604C22semidirect
104. #10622604C22semidirect
105. #10622601C22semidirect
106. #10622600C22semidirect
107. #10622600C22semidirect
108. #10622596C22semidirect
109. #10622596C22semidirect
110. #10622587C22semidirect
115. #10622574C22semidirect
116. #10622574C22semidirect
117. #10622574C22semidirect
118. #10622574C22semidirect
123. #10622573C22semidirect
124. #10622573C22semidirect
127. #10622571C22semidirect
128. #10622571C22semidirect
129. #10622568C22semidirect
130. #10622568C22semidirect
131. #10622566C22semidirect
132. #10622566C22semidirect
133. #10622556C22semidirect
134. #10622556C22semidirect
135. #10622553C22semidirect
136. #10622553C22semidirect
137. #10622553C22semidirect
138. #10622553C22semidirect
139. #10622553C22semidirect
140. #10622553C22semidirect
144. #10622552C22semidirect
145. #10622552C22semidirect
146. #10622552C22semidirect
147. #10622542C22semidirect
148. #10622541C22semidirect
149. #10622290C22semidirect
150. #10622287C22semidirect
151. #10622286C22semidirect
152. #10622286C22semidirect
153. #10622286C22semidirect
154. #10622285C22semidirect
155. #10622285C22semidirect
156. #10622285C22semidirect
161. #10622284C22semidirect
162. #10622283C22semidirect
163. #10622283C22semidirect
164. #10622283C22semidirect
165. #10622283C22semidirect
166. #10622281C22semidirect
167. #10622281C22semidirect
168. #10622281C22semidirect
169. #10622281C22semidirect
170. #10622281C22semidirect
171. #10622281C22semidirect
178. #10622278C22semidirect
179. #10622278C22semidirect
180. #10622278C22semidirect
181. #10622278C22semidirect
182. #10622278C22semidirect
183. #10622278C22semidirect
184. #10622274C22semidirect
185. #10622272C22semidirect
186. #10622269C22semidirect
187. #10622266C22semidirect
188. #10622266C22semidirect
231. C4×D4×C11D4semidirect
662. #2319D11semidirect
942. #389C2×D11semidirect
943. #389C2×D11semidirect
954. #388C2×D11semidirect
955. #388C2×D11semidirect
956. #388C2×D11semidirect
957. #388C2×D11semidirect
984. #381C2×D11semidirect
985. #381C2×D11semidirect
988. #380C2×D11semidirect
989. #380C2×D11semidirect
992. C4×C4⋊C4C2×D11semidirect
993. #376C2×D11semidirect
1162. C4×D4D44semidirect
1539. C11#36724semidirect

Maximal subgroups

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

subgroupindex
C2×#106230912
C2×#106230782
#130769092
#130768992
#130752872
#130752422
#130752122
#130752012
#130750352
#130749782
#130749662
#130749632
#130749512
#130749392
#130749362
#130748652
#130748402
#130748312
#130745032
#130744572
#130742972
#130742432
#130742072
#130742032
#130735872
#130735082
#130719622
#130719372
C11×#23192
#3672411