Finite Group Databasebeta

← #14960837

Subgroups — #14960837

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×#10623124C211yesmaximal, characteristic, complemented
2C2×#10623117C211yesmaximal, characteristic, complemented
3#13076906C211yesmaximal, characteristic, complemented
4#13076896C211yesmaximal, characteristic, complemented
5#13075284C211yesmaximal, characteristic, complemented
6#13075237C211yesmaximal, characteristic, complemented
7#13075220C211yesmaximal, characteristic, complemented
8#13075201C211yesmaximal, characteristic, complemented
9#13075043C211yesmaximal, characteristic, complemented
10#13074984C211yesmaximal, characteristic, complemented
11#13074970C211yesmaximal, characteristic, complemented
12#13074965C211yesmaximal, characteristic, complemented
13#13074941C211yesmaximal, characteristic, complemented
14#13074941C211yesmaximal, characteristic, complemented
15#13074941C211yesmaximal, characteristic, complemented
16#13074869C211yesmaximal, characteristic, complemented
17#13074838C211yesmaximal, characteristic, complemented
18#13074833C211yesmaximal, characteristic, complemented
19#13074830C211yesmaximal, characteristic, complemented
20#13074502C211yesmaximal, characteristic, complemented
21#13074456C211yesmaximal, characteristic, complemented
22#13074300C211yesmaximal, characteristic, complemented
23#13074239C211yesmaximal, characteristic, complemented
24#13074206C211yesmaximal, characteristic, complemented
25#13074199C211yesmaximal, characteristic, complemented
26#13073582C211yesmaximal, characteristic, complemented
27#13073503C211yesmaximal, characteristic, complemented
28#13071956C211yesmaximal, characteristic, complemented
29#13071932C211yesmaximal, characteristic, complemented
30#13071253C211yesmaximal, characteristic, complemented
31C11×#2679C211yesmaximal, characteristic, complemented
32C24×Dic11C2211yescharacteristic, complemented
33C22×#4341C2211yescharacteristic
34C2×C11×#120C2211yescharacteristic
35C2×C11×#120C2211yescharacteristic
36C2×C11×#120C2211yescharacteristic
37C2×C11×#120C2211yescharacteristic
38C2×C11×#120C2211yescharacteristic
39C2×C11×#120C2211yescharacteristic
40C2×#67006C2211yescharacteristic, complemented
41C2×#67006C2211yescharacteristic, complemented
42C2×#67006C2211yescharacteristic, complemented
43C2×#67006C2211yescharacteristic, complemented
44C22×C22⋊Dic11C2211yescharacteristic, complemented
45C2×#66993C2211yescharacteristic
46C2×#66992C2211yescharacteristic
47C2×#66992C2211yescharacteristic
48C2×#66992C2211yescharacteristic
49C2×#66992C2211yescharacteristic
50C2×#66992C2211yescharacteristic
51C2×#66992C2211yescharacteristic
52C2×#66991C2211yescharacteristic
53C2×#66989C2211yescharacteristic
54C2×#66988C2211yescharacteristic
55C2×#66988C2211yescharacteristic
56C2×#66988C2211yescharacteristic
57C2×#66988C2211yescharacteristic
58C2×D4×Dic11C2211yescharacteristic
59C2×D4×Dic11C2211yescharacteristic
60#10623124—28no—
61#10623117—28no—
62C2×#66949C2211yescharacteristic, complemented
63C2×#66939C2211yescharacteristic, complemented
64C2×#66938C2211yescharacteristic, complemented
65C2×#66938C2211yescharacteristic, complemented
66C2×#66937C2211yescharacteristic, complemented
67C2×#66936C2211yescharacteristic, complemented
68C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
69C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
70C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
71C2×#66932C2211yescharacteristic, complemented
72C2×#66932C2211yescharacteristic, complemented
73C2×#66931C2211yescharacteristic, complemented
74C2×#66931C2211yescharacteristic, complemented
75C2×#66931C2211yescharacteristic, complemented
76C2×#66930C2211yescharacteristic, complemented
77C11×#394C2211yescharacteristic
78C11×#394C2211yescharacteristic
79C11×#394C2211yescharacteristic
80C11×#394C2211yescharacteristic
81C11×#394C2211yescharacteristic
82C11×#394C2211yescharacteristic
83C11×#390C2211yescharacteristic
84C11×#390C2211yescharacteristic
85C11×#390C2211yescharacteristic
86#10622860C2211yescharacteristic, complemented
87#10622860C2211yescharacteristic, complemented
88#10622836C2211yescharacteristic
89#10622836C2211yescharacteristic
90#10622836C2211yescharacteristic
91#10622836C2211yescharacteristic
92#10622836C2211yescharacteristic
93#10622836C2211yescharacteristic
94#10622836C2211yescharacteristic
95#10622836C2211yescharacteristic
96#10622835C2211yescharacteristic
97#10622835C2211yescharacteristic
98#10622834C2211yescharacteristic
99#10622834C2211yescharacteristic
100#10622833C2211yescharacteristic
101#10622833C2211yescharacteristic
102#10622833C2211yescharacteristic
103#10622833C2211yescharacteristic
104#10622833C2211yescharacteristic
105#10622833C2211yescharacteristic
106#10622833C2211yescharacteristic
107#10622833C2211yescharacteristic
108#10622605C2211yescharacteristic, complemented
109#10622604C2211yescharacteristic, complemented
110#10622603C2211yescharacteristic, complemented
111#10622602C2211yescharacteristic, complemented
112#10622597C2211yescharacteristic, complemented
113#10622596C2211yescharacteristic, complemented
114#10622594C2211yescharacteristic, complemented
115#10622593C2211yescharacteristic, complemented
116#10622592C2211yescharacteristic, complemented
117C4⋊C4×Dic11C2211yescharacteristic, complemented
118#10622586C2211yescharacteristic, complemented
119#10622574C2211yescharacteristic, complemented
120#10622574C2211yescharacteristic, complemented
121#10622574C2211yescharacteristic, complemented
122#10622574C2211yescharacteristic, complemented
123#10622574C2211yescharacteristic, complemented
124#10622573C2211yescharacteristic, complemented
125#10622573C2211yescharacteristic, complemented
126#10622573C2211yescharacteristic, complemented
127#10622572C2211yescharacteristic, complemented
128#10622572C2211yescharacteristic, complemented
129#10622572C2211yescharacteristic, complemented
130#10622572C2211yescharacteristic, complemented
131#10622572C2211yescharacteristic, complemented
132#10622571C2211yescharacteristic, complemented
133#10622571C2211yescharacteristic, complemented
134#10622571C2211yescharacteristic, complemented
135#10622571C2211yescharacteristic, complemented
136#10622570C2211yescharacteristic, complemented
137#10622570C2211yescharacteristic, complemented
138#10622570C2211yescharacteristic, complemented
139#10622570C2211yescharacteristic, complemented
140#10622569C2211yescharacteristic, complemented
141#10622569C2211yescharacteristic, complemented
142#10622569C2211yescharacteristic, complemented
143#10622565C2211yescharacteristic, complemented
144#10622565C2211yescharacteristic, complemented
145#10622565C2211yescharacteristic, complemented
146#10622564C2211yescharacteristic, complemented
147#10622564C2211yescharacteristic, complemented
148#10622561C2211yescharacteristic, complemented
149#10622561C2211yescharacteristic, complemented
150#10622561C2211yescharacteristic, complemented
151#10622561C2211yescharacteristic, complemented
152#10622561C2211yescharacteristic, complemented
153#10622560C2211yescharacteristic, complemented
154#10622560C2211yescharacteristic, complemented
155#10622560C2211yescharacteristic, complemented
156#10622559C2211yescharacteristic, complemented
157#10622559C2211yescharacteristic, complemented
158#10622559C2211yescharacteristic, complemented
159#10622559C2211yescharacteristic, complemented
160#10622558C2211yescharacteristic, complemented
161#10622558C2211yescharacteristic, complemented
162#10622558C2211yescharacteristic, complemented
163#10622558C2211yescharacteristic, complemented
164#10622558C2211yescharacteristic, complemented
165#10622558C2211yescharacteristic, complemented
166#10622557C2211yescharacteristic, complemented
167#10622557C2211yescharacteristic, complemented
168#10622557C2211yescharacteristic, complemented
169#10622556C2211yescharacteristic, complemented
170#10622556C2211yescharacteristic, complemented
171#10622556C2211yescharacteristic, complemented
172#10622556C2211yescharacteristic, complemented
173#10622555C2211yescharacteristic, complemented
174#10622555C2211yescharacteristic, complemented
175#10622555C2211yescharacteristic, complemented
176#10622555C2211yescharacteristic, complemented
177#10622553C2211yescharacteristic, complemented
178#10622553C2211yescharacteristic, complemented
179#10622545C2211yescharacteristic, complemented
180#10622541C2211yescharacteristic, complemented
181#10622289C2211yescharacteristic, complemented
182#10622281C2211yescharacteristic, complemented
183#10622278C2211yescharacteristic, complemented
184#10622271C2211yescharacteristic, complemented
185#10622267C2211yescharacteristic, complemented
186#10622260C2211yescharacteristic, complemented
187#10622259C2211yescharacteristic, complemented
188#10622259C2211yescharacteristic, complemented
189C25×C11C2311yescharacteristic
190C25×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C22×D4×C11C2311yescharacteristic
195C22×D4×C11C2311yescharacteristic
196C22×D4×C11C2311yescharacteristic
197C22×D4×C11C2311yescharacteristic
198C22×D4×C11C2311yescharacteristic
199C22×D4×C11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C22×C22⋊D11C2311yescharacteristic
202C22×C22⋊D11C2311yescharacteristic
203C22×C22⋊D11C2311yescharacteristic
204C22×C22⋊D11C2311yescharacteristic
205C22×C22⋊D11C2311yescharacteristic
206C22×C22⋊D11C2311yescharacteristic
207C22×C22⋊D11C2311yescharacteristic
208C22×C22⋊D11C2311yescharacteristic
209C22×C22⋊D11C2311yescharacteristic
210C22×C22⋊D11C2311yescharacteristic
211C22×C22⋊D11C2311yescharacteristic
212C23×Dic11—24no—
213C23×Dic11—42no—
214C23×Dic11—42no—
215C23×Dic11C2311yescharacteristic
216C23×Dic11C2311yescharacteristic
217C23×Dic11C2311yescharacteristic
218C23×Dic11C2311yescharacteristic
219C23×Dic11C2311yescharacteristic
220C23×Dic11C2311yescharacteristic
221C23×Dic11C2311yescharacteristic
222C23×Dic11C2311yescharacteristic
223C2×#4341—24no—
224C2×#4341—42no—
225C2×#4341—42no—
226C22×D44C2311yescharacteristic
227C22×C4×D11C2311yescharacteristic
228C22×C4×D11C2311yescharacteristic
229C22×Dic22C2311yescharacteristic
230C22×Dic22C2311yescharacteristic
231C11×#120—24no—
232C11×#120—24no—
233C11×#120—42no—
234C11×#120—42no—
235C11×#120—42no—
236C11×#120—42no—
237C2×C11×C4⋊C4C2311yescharacteristic
238C2×C11×C4⋊C4C2311yescharacteristic
239C2×C11×C4⋊C4C2311yescharacteristic
240C2×C11×C22⋊C4C2311yescharacteristic
241C2×C11×C22⋊C4C2311yescharacteristic
242C2×C11×C22⋊C4C2311yescharacteristic
243C2×C11×C22⋊C4C2311yescharacteristic
244C2×C11×C22⋊C4C2311yescharacteristic
245C2×C11×C22⋊C4C2311yescharacteristic
246C2×C11×C22⋊C4C2311yescharacteristic
247C2×C11×C22⋊C4C2311yescharacteristic
248C2×C11×C22⋊C4C2311yescharacteristic
249C2×C11×C22⋊C4C2311yescharacteristic
250C2×C11×C22⋊C4C2311yescharacteristic
251C2×C11×C22⋊C4C2311yescharacteristic
252C2×C11×C22⋊C4C2311yescharacteristic
253C2×C11×C22⋊C4C2311yescharacteristic
254C2×C11×C22⋊C4C2311yescharacteristic
255C2×C11×C22⋊C4C2311yescharacteristic
256C2×C11×C22⋊C4C2311yescharacteristic
257C2×C11×C22⋊C4C2311yescharacteristic
258C2×C42×C11C2311yescharacteristic
259#67006—24no—
260#67006—24no—
261#67006—42no—
262#67006—42no—
263C2×C22⋊Dic11—24no—
264C2×C22⋊Dic11C2311yescharacteristic
265C2×C22⋊Dic11C2311yescharacteristic
266C2×C22⋊Dic11C2311yescharacteristic
267C2×C22⋊Dic11C2311yescharacteristic
268C2×C22⋊Dic11C2311yescharacteristic
269C2×C22⋊Dic11C2311yescharacteristic
270C2×C22⋊Dic11C2311yescharacteristic
271C2×C22⋊Dic11C2311yescharacteristic
272C2×C22⋊Dic11C2311yescharacteristic
273C2×C22⋊Dic11C2311yescharacteristic
274C2×C22⋊Dic11C2311yescharacteristic
275C2×C22⋊Dic11C2311yescharacteristic
276C2×C22⋊Dic11C2311yescharacteristic
277C2×C22⋊Dic11C2311yescharacteristic
278C2×C22⋊Dic11C2311yescharacteristic
279C2×C22⋊Dic11C2311yescharacteristic
280C2×C22⋊Dic11C2311yescharacteristic
281C2×C22⋊Dic11C2311yescharacteristic
282C2×C22⋊Dic11C2311yescharacteristic
283C2×C22⋊Dic11C2311yescharacteristic
284C2×C22⋊Dic11C2311yescharacteristic
285C2×C22⋊Dic11C2311yescharacteristic
286C2×C22⋊Dic11C2311yescharacteristic
287C2×C22⋊Dic11C2311yescharacteristic
288C2×C22⋊Dic11C2311yescharacteristic
289C2×C22⋊Dic11C2311yescharacteristic
290C2×C22⋊Dic11C2311yescharacteristic
291C2×C22⋊Dic11C2311yescharacteristic
292#66993—42no—
293#66992—24no—
294#66992—24no—
295#66992—24no—
296#66992—24no—
297#66992—42no—
298#66992—42no—
299#66991—24no—
300#66989—24no—
301#66988—24no—
302#66988—24no—
303#66988—42no—
304#66988—42no—
305D4×Dic11—24no—
306D4×Dic11D418yescomplemented
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×(C2×D11)⋊C4C2311yescharacteristic
315C2×(C2×D11)⋊C4C2311yescharacteristic
316C2×(C2×D11)⋊C4C2311yescharacteristic
317C2×(C2×D11)⋊C4C2311yescharacteristic
318C2×(C2×D11)⋊C4C2311yescharacteristic
319C2×(C2×D11)⋊C4C2311yescharacteristic
320C2×(C2×D11)⋊C4C2311yescharacteristic
321C2×C4⋊Dic11C2311yescharacteristic
322C2×C4⋊Dic11C2311yescharacteristic
323C2×C4⋊Dic11C2311yescharacteristic
324C2×C4⋊Dic11C2311yescharacteristic
325C2×C4⋊Dic11C2311yescharacteristic
326C2×Dic11⋊C4C2311yescharacteristic
327C2×Dic11⋊C4C2311yescharacteristic
328C2×Dic11⋊C4C2311yescharacteristic
329C2×Dic11⋊C4C2311yescharacteristic
330C2×Dic11⋊C4C2311yescharacteristic
331C2×Dic11⋊C4C2311yescharacteristic
332C2×Dic11⋊C4C2311yescharacteristic
333C2×Dic11⋊C4C2311yescharacteristic
334C2×Dic11⋊C4C2311yescharacteristic
335C2×Dic11⋊C4C2311yescharacteristic
336C2×Dic11⋊C4C2311yescharacteristic
337C2×Dic11⋊C4C2311yescharacteristic
338C2×Dic11⋊C4C2311yescharacteristic
339C2×Dic11⋊C4C2311yescharacteristic
340C2×Dic11⋊C4C2311yescharacteristic
341C2×Dic11⋊C4C2311yescharacteristic
342C2×C4×Dic11C2311yescharacteristic
343C2×C4×Dic11C2311yescharacteristic
344C2×C4×Dic11C2311yescharacteristic
345C2×C4×Dic11C2311yescharacteristic
346C2×C4×Dic11C2311yescharacteristic
347C2×C4×Dic11C2311yescharacteristic
348#66949—42no—
349#66939—24no—
350#66938—24no—
351#66938—42no—
352#66937—42no—
353#66936—24no—
354(C22⋊D11)⋊C4—24no—
355(C22⋊D11)⋊C4—24no—
356(C22⋊D11)⋊C4—24no—
357#66932—24no—
358#66932—24no—
359#66931—24no—
360#66931—24no—
361#66931—24no—
362#66930—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×C11—22no—
393C24×C11—22no—
394C24×C11—22no—
395C24×C11—22no—
396C24×C11—41no—
397C24×C11—41no—
398C24×C11—41no—
399C24×C11—41no—
400C24×C11—41no—
401C24×C11—41no—
402C24×C11—41no—
403C24×C11—41no—
404C24×C11—41no—
405C24×C11—41no—
406C24×C11C2411yescharacteristic
407C24×C11C2411yescharacteristic
408C24×C11C2411yescharacteristic
409C24×C11C2411yescharacteristic
410C24×C11C2411yescharacteristic
411C24×C11C2411yescharacteristic
412C23×D11C2411yescharacteristic
413C23×D11C2411yescharacteristic
414C2×D4×C11—22no—
415C2×D4×C11—22no—
416C2×D4×C11—22no—
417C2×D4×C11—22no—
418C2×D4×C11—22no—
419C2×D4×C11—22no—
420C2×D4×C11—22no—
421C2×D4×C11—22no—
422C2×D4×C11—22no—
423C2×D4×C11—22no—
424C2×D4×C11—41no—
425C2×D4×C11—41no—
426C2×D4×C11—41no—
427C2×D4×C11—41no—
428C2×D4×C11—41no—
429C2×D4×C11—41no—
430C2×D4×C11—41no—
431C2×D4×C11—41no—
432C2×D4×C11—41no—
433C2×D4×C11—41no—
434C2×D4×C11—41no—
435C2×D4×C11—41no—
436C2×D4×C11—41no—
437C2×D4×C11—41no—
438C2×D4×C11—41no—
439C2×D4×C11—41no—
440C2×D4×C11C2×D414yes—
441C22×C4×C11C2411yescharacteristic
442C22×C4×C11C2411yescharacteristic
443C22×C4×C11C2411yescharacteristic
444C22×C4×C11C2411yescharacteristic
445C22×C4×C11C2411yescharacteristic
446C22×C4×C11C2411yescharacteristic
447C22×C4×C11C2411yescharacteristic
448C22×C4×C11C2411yescharacteristic
449C22×C4×C11C2411yescharacteristic
450C2×C22⋊D11—22no—
451C2×C22⋊D11—22no—
452C2×C22⋊D11—22no—
453C2×C22⋊D11—22no—
454C2×C22⋊D11—22no—
455C2×C22⋊D11—22no—
456C2×C22⋊D11—22no—
457C2×C22⋊D11—22no—
458C2×C22⋊D11—22no—
459C2×C22⋊D11—22no—
460C2×C22⋊D11—22no—
461C2×C22⋊D11—22no—
462C2×C22⋊D11—22no—
463C2×C22⋊D11—41no—
464C2×C22⋊D11—41no—
465C2×C22⋊D11—41no—
466C2×C22⋊D11—41no—
467C2×C22⋊D11—41no—
468C2×C22⋊D11—41no—
469C2×C22⋊D11—41no—
470C2×C22⋊D11—41no—
471C2×C22⋊D11—41no—
472C2×C22⋊D11—41no—
473C2×C22⋊D11—41no—
474C2×C22⋊D11—41no—
475C2×C22⋊D11—41no—
476C2×C22⋊D11—41no—
477C2×C22⋊D11—41no—
478C2×C22⋊D11—41no—
479C2×C22⋊D11—41no—
480C2×C22⋊D11—41no—
481C2×C22⋊D11—41no—
482C2×C22⋊D11—41no—
483C2×C22⋊D11—41no—
484C2×C22⋊D11—41no—
485C2×C22⋊D11—41no—
486C22×Dic11—22no—
487C22×Dic11—22no—
488C22×Dic11—22no—
489C22×Dic11—22no—
490C22×Dic11—22no—
491C22×Dic11—22no—
492C22×Dic11—22no—
493C22×Dic11—22no—
494C22×Dic11—22no—
495C22×Dic11—22no—
496C22×Dic11—22no—
497C22×Dic11—41no—
498C22×Dic11—41no—
499C22×Dic11—41no—
500C22×Dic11—41no—
501C22×Dic11—41no—
502C22×Dic11—41no—
503C22×Dic11—41no—
504C22×Dic11—41no—
505C22×Dic11—41no—
506C22×Dic11—41no—
507C22×Dic11—41no—
508C22×Dic11—416no—
509C22×Dic11C2×D414yes—
510C22×Dic11C2×D414yes—
511C22×Dic11C2411yescharacteristic
512C22×Dic11C2411yescharacteristic
513C22×Dic11C2411yescharacteristic
514C22×Dic11C2411yescharacteristic
515C22×Dic11C2411yescharacteristic
516C22×Dic11C2411yescharacteristic
517C22×Dic11C2411yescharacteristic
518C22×Dic11C2411yescharacteristic
519C22×Dic11C2411yescharacteristic
520C22×Dic11C2411yescharacteristic
521C22×Dic11C2411yescharacteristic
522C22×Dic11C2411yescharacteristic
523C22×Dic11C2411yescharacteristic
524C22×Dic11C2411yescharacteristic
525#4341—416no—
526C2×D44—41no—
527C2×D44—41no—
528C2×D44—41no—
529C2×C4×D11—22no—
530C2×C4×D11—22no—
531C2×C4×D11—41no—
532C2×C4×D11—41no—
533C2×C4×D11—41no—
534C2×C4×D11—41no—
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×C22⋊C4—22no—
545C11×C22⋊C4—22no—
546C11×C22⋊C4—22no—
547C11×C22⋊C4—22no—
548C11×C22⋊C4—22no—
549C11×C22⋊C4—22no—
550C11×C22⋊C4—22no—
551C11×C22⋊C4—22no—
552C11×C22⋊C4—41no—
553C11×C22⋊C4—41no—
554C11×C22⋊C4—41no—
555C11×C22⋊C4—41no—
556C11×C22⋊C4—41no—
557C11×C22⋊C4—41no—
558C11×C22⋊C4—41no—
559C11×C22⋊C4—41no—
560C11×C22⋊C4—41no—
561C11×C22⋊C4—41no—
562C42×C11—41no—
563C22⋊Dic11—22no—
564C22⋊Dic11—22no—
565C22⋊Dic11—22no—
566C22⋊Dic11—22no—
567C22⋊Dic11—22no—
568C22⋊Dic11—22no—
569C22⋊Dic11—22no—
570C22⋊Dic11—22no—
571C22⋊Dic11—22no—
572C22⋊Dic11—22no—
573C22⋊Dic11—22no—
574C22⋊Dic11—22no—
575C22⋊Dic11—22no—
576C22⋊Dic11—22no—
577C22⋊Dic11—41no—
578C22⋊Dic11—41no—
579C22⋊Dic11—41no—
580C22⋊Dic11—41no—
581C22⋊Dic11—41no—
582C22⋊Dic11—41no—
583C22⋊Dic11—41no—
584C22⋊Dic11—41no—
585C22⋊Dic11—41no—
586C22⋊Dic11—41no—
587C22⋊Dic11—41no—
588C22⋊Dic11—41no—
589C22⋊Dic11C2×D414yes—
590C22⋊Dic11C2×D414yes—
591(C2×D11)⋊C4—22no—
592(C2×D11)⋊C4—22no—
593(C2×D11)⋊C4—22no—
594(C2×D11)⋊C4—22no—
595(C2×D11)⋊C4—22no—
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—
605C4⋊Dic11—22no—
606C4⋊Dic11—22no—
607C4⋊Dic11—41no—
608C4⋊Dic11—41no—
609C4⋊Dic11C2×D414yes—
610Dic11⋊C4—22no—
611Dic11⋊C4—22no—
612Dic11⋊C4—22no—
613Dic11⋊C4—22no—
614Dic11⋊C4—22no—
615Dic11⋊C4—22no—
616Dic11⋊C4—22no—
617Dic11⋊C4—22no—
618Dic11⋊C4—22no—
619Dic11⋊C4—41no—
620Dic11⋊C4—41no—
621Dic11⋊C4—41no—
622Dic11⋊C4—41no—
623Dic11⋊C4—41no—
624Dic11⋊C4—41no—
625Dic11⋊C4—41no—
626C4×Dic11—22no—
627C4×Dic11—22no—
628C4×Dic11—41no—
629C4×Dic11—41no—
630C4×Dic11—41no—
631C4×Dic11C2×D414yes—
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#2679D1111yescharacteristic, complemented
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#2319—111no—
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×C11—21no—
676C23×C11—21no—
677C23×C11—21no—
678C23×C11—21no—
679C23×C11—21no—
680C23×C11—21no—
681C23×C11—21no—
682C23×C11—21no—
683C23×C11—21no—
684C23×C11—21no—
685C23×C11—21no—
686C23×C11—21no—
687C23×C11—21no—
688C23×C11—21no—
689C23×C11—21no—
690C23×C11—21no—
691C23×C11—21no—
692C23×C11—21no—
693C23×C11—21no—
694C23×C11—21no—
695C23×C11—21no—
696C23×C11—21no—
697C23×C11—21no—
698C23×C11—21no—
699C23×C11—21no—
700C23×C11—21no—
701C23×C11—44no—
702C23×C11—44no—
703C23×C11—44no—
704C23×C11—44no—
705C23×C11—44no—
706C23×C11—44no—
707C23×C11—44no—
708C23×C11—44no—
709C23×C11—82no—
710C23×C11—82no—
711C23×C11—82no—
712C23×C11—82no—
713C23×C11—82no—
714C23×C11—82no—
715C23×C11C22×D412yes—
716C23×C11C22×D412yes—
717C23×C11H(5,𝔽2)12yes—
718C23×C11H(5,𝔽2)12yes—
719C23×C11C2511yescharacteristic
720C22×D11—21no—
721C22×D11—21no—
722C22×D11—21no—
723C22×D11—21no—
724C22×D11—21no—
725C22×D11—21no—
726C22×D11—21no—
727C22×D11—21no—
728C22×D11—21no—
729C22×D11—21no—
730C22×D11—21no—
731C22×D11—21no—
732C22×D11—21no—
733C22×D11—21no—
734D4×C11—44no—
735D4×C11—44no—
736D4×C11—44no—
737D4×C11—82no—
738D4×C11—82no—
739D4×C11—82no—
740D4×C11—82no—
741D4×C11—82no—
742D4×C11—82no—
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×C11C22×D412yes—
770C22⋊D11—44no—
771C22⋊D11—44no—
772C22⋊D11—44no—
773C22⋊D11—44no—
774C22⋊D11—44no—
775C22⋊D11—82no—
776C22⋊D11—82no—
777C22⋊D11—82no—
778C22⋊D11—82no—
779C22⋊D11—82no—
780C22⋊D11—82no—
781C22⋊D11—82no—
782C2×Dic11—28no—
783C2×Dic11—21no—
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—21no—
814C2×Dic11—21no—
815C2×Dic11—21no—
816C2×Dic11—21no—
817C2×Dic11—21no—
818C2×Dic11—21no—
819C2×Dic11—21no—
820C2×Dic11—44no—
821C2×Dic11—44no—
822C2×Dic11—44no—
823C2×Dic11—44no—
824C2×Dic11—44no—
825C2×Dic11—44no—
826C2×Dic11—82no—
827C2×Dic11C22×D412yes—
828C2×Dic11C22×D412yes—
829C2×Dic11C22×D412yes—
830C2×Dic11C22×D412yes—
831C2×Dic11H(5,𝔽2)12yes—
832D44—82no—
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×#120C2×D1111yescharacteristic
870C2×#120C2×D1111yescharacteristic
871C2×#120C2×D1111yescharacteristic
872C2×#120C2×D1111yescharacteristic
873C2×#120C2×D1111yescharacteristic
874C2×#120C2×D1111yescharacteristic
875C2×C4×D4—111no—
876C2×C4×D4—111no—
877C2×C4×D4—111no—
878C2×C4×D4—111no—
879C2×C4×D4—111no—
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#394C2×D1111yescharacteristic
911#394C2×D1111yescharacteristic
912#394C2×D1111yescharacteristic
913#394C2×D1111yescharacteristic
914#394C2×D1111yescharacteristic
915#394C2×D1111yescharacteristic
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#390C2×D1111yescharacteristic
939#390C2×D1111yescharacteristic
940#390C2×D1111yescharacteristic
941#389—111no—
942#389—111no—
943#389—111no—
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#388—111no—
955#388—111no—
956#388—111no—
957#388—111no—
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#381—111no—
985#381—111no—
986#380—111no—
987#380—111no—
988#380—111no—
989#380—111no—
990#379—111no—
991#379—111no—
992C4×C4⋊C4—111no—
993#376—111no—
994C22×C11—22no—
995C22×C11—22no—
996C22×C11—22no—
997C22×C11—22no—
998C22×C11—22no—
999C22×C11—22no—
1000C22×C11—22no—
1001C22×C11—22no—
1002C22×C11—22no—
1003C22×C11—22no—
1004C22×C11—22no—
1005C22×C11—22no—
1006C22×C11—416no—
1007C22×C11—41no—
1008C22×C11—41no—
1009C22×C11—41no—
1010C22×C11—41no—
1011C22×C11—41no—
1012C22×C11—41no—
1013C22×C11—41no—
1014C22×C11—41no—
1015C22×C11—41no—
1016C22×C11—41no—
1017C22×C11—41no—
1018C22×C11—41no—
1019C22×C11—41no—
1020C22×C11—41no—
1021C22×C11—41no—
1022C22×C11—41no—
1023C22×C11—41no—
1024C22×C11—41no—
1025C22×C11—41no—
1026C22×C11—41no—
1027C22×C11—41no—
1028C22×C11—41no—
1029C22×C11—41no—
1030C22×C11—41no—
1031C22×C11—41no—
1032C22×C11—41no—
1033C22×C11—41no—
1034C22×C11—41no—
1035C22×C11—41no—
1036C22×C11—41no—
1037C22×C11—88no—
1038C22×C11C23×D411yescharacteristic
1039C22×C11C2×H(5,𝔽2)11yescharacteristic
1040C22×C11C2×H(5,𝔽2)11yescharacteristic
1041C22×C11C2×H(5,𝔽2)11yescharacteristic
1042C22×C11#58511yescharacteristic
1043C22×C11#58511yescharacteristic
1044C22×C11#58511yescharacteristic
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—41no—
1059C4×C11—22no—
1060C4×C11—41no—
1061C4×C11—41no—
1062C4×C11—41no—
1063C4×C11—41no—
1064C4×C11—41no—
1065C4×C11—41no—
1066C4×C11—41no—
1067C4×C11—41no—
1068Dic11—22no—
1069Dic11—22no—
1070Dic11—22no—
1071Dic11—22no—
1072Dic11—22no—
1073Dic11—41no—
1074Dic11—41no—
1075Dic11—41no—
1076Dic11—41no—
1077Dic11—41no—
1078Dic11—41no—
1079Dic11—41no—
1080Dic11—41no—
1081Dic11—41no—
1082C25C22×D1111yescharacteristic
1083C25C22×D1111yescharacteristic
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×D4C22×D1111yescharacteristic
1103C22×D4C22×D1111yescharacteristic
1104C22×D4C22×D1111yescharacteristic
1105C22×D4C22×D1111yescharacteristic
1106C22×D4C22×D1111yescharacteristic
1107C22×D4C22×D1111yescharacteristic
1108C22×D4C22×D1111yescharacteristic
1109C22×D4C22×D1111yescharacteristic
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—111no—
1120C23×C4—111no—
1121C23×C4—224no—
1122C23×C4—442no—
1123C23×C4—442no—
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—24no—
1149#120—24no—
1150#120—42no—
1151#120—42no—
1152#120—42no—
1153#120—42no—
1154#120—224no—
1155#120—224no—
1156#120—442no—
1157#120—442no—
1158C4×D4—118no—
1159C4×D4—224no—
1160C4×D4—224no—
1161C4×D4—224no—
1162C4×D4—224no—
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⋊C4—111no—
1182C2×C4⋊C4—111no—
1183C2×C4⋊C4—111no—
1184C2×C4⋊C4—111no—
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—224no—
1231C2×C22⋊C4C22×D1111yescharacteristic
1232C2×C22⋊C4C22×D1111yescharacteristic
1233C2×C22⋊C4C22×D1111yescharacteristic
1234C2×C22⋊C4C22×D1111yescharacteristic
1235C2×C22⋊C4C22×D1111yescharacteristic
1236C2×C22⋊C4C22×D1111yescharacteristic
1237C2×C22⋊C4C22×D1111yescharacteristic
1238C2×C22⋊C4C22×D1111yescharacteristic
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×C42—111no—
1252C2×C42—111no—
1253C2×C42—111no—
1254C2×C42—111no—
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#95—111no—
1275#95—111no—
1276#95—111no—
1277#95—111no—
1278#95—111no—
1279#95—111no—
1280#95—111no—
1281#95—111no—
1282#95C22×D1111yescharacteristic
1283#95C22×D1111yescharacteristic
1284C2×C11—42no—
1285C2×C11—42no—
1286C2×C11—42no—
1287C2×C11—42no—
1288C2×C11—81no—
1289C2×C11—81no—
1290C2×C11#344911yescharacteristic
1291C2×C11#348411yescharacteristic
1292C2×C11#348811yescharacteristic
1293C2×C11#353311yescharacteristic
1294C2×C11#353411yescharacteristic
1295C2×C11#354011yescharacteristic
1296C2×C11#354211yescharacteristic
1297D11—81no—
1298D11—81no—
1299C24—22no—
1300C24—22no—
1301C24—22no—
1302C24—22no—
1303C24—41no—
1304C24—41no—
1305C24—41no—
1306C24—41no—
1307C24—41no—
1308C24—41no—
1309C24—41no—
1310C24—41no—
1311C24—41no—
1312C24—41no—
1313C24—111no—
1314C24—111no—
1315C24C23×D1111yescharacteristic
1316C24C23×D1111yescharacteristic
1317C24C23×D1111yescharacteristic
1318C24C23×D1111yescharacteristic
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—22no—
1329C2×D4—22no—
1330C2×D4—22no—
1331C2×D4—22no—
1332C2×D4—22no—
1333C2×D4—22no—
1334C2×D4—22no—
1335C2×D4—22no—
1336C2×D4—22no—
1337C2×D4—22no—
1338C2×D4—41no—
1339C2×D4—41no—
1340C2×D4—41no—
1341C2×D4—41no—
1342C2×D4—41no—
1343C2×D4—41no—
1344C2×D4—41no—
1345C2×D4—41no—
1346C2×D4—41no—
1347C2×D4—41no—
1348C2×D4—41no—
1349C2×D4—41no—
1350C2×D4—41no—
1351C2×D4—41no—
1352C2×D4—41no—
1353C2×D4—41no—
1354C2×D4—222no—
1355C2×D4—222no—
1356C2×D4—222no—
1357C2×D4—222no—
1358C2×D4—222no—
1359C2×D4—222no—
1360C2×D4—222no—
1361C2×D4—222no—
1362C2×D4—222no—
1363C2×D4—222no—
1364C2×D4—222no—
1365C2×D4—222no—
1366C2×D4—222no—
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×D4D4×D1114yes—
1394C22×C4—111no—
1395C22×C4—111no—
1396C22×C4—111no—
1397C22×C4—111no—
1398C22×C4—111no—
1399C22×C4—114no—
1400C22×C4—114no—
1401C22×C4—111no—
1402C22×C4—111no—
1403C22×C4—111no—
1404C22×C4—111no—
1405C22×C4—111no—
1406C22×C4—111no—
1407C22×C4—111no—
1408C22×C4—111no—
1409C22×C4—111no—
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—222no—
1422C22×C4—222no—
1423C22×C4—441no—
1424C22×C4—441no—
1425C22×C4—441no—
1426C22×C4—441no—
1427C22×C4—441no—
1428C22×C4—441no—
1429C22×C4—441no—
1430C22×C4—441no—
1431C22×C4—441no—
1432C22×C4—441no—
1433C22×C4—441no—
1434C22×C4—441no—
1435C22×C4—441no—
1436C22×C4—441no—
1437C22×C4—441no—
1438C22×C4—4416no—
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—114no—
1452C4⋊C4—222no—
1453C4⋊C4—222no—
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—441no—
1464C4⋊C4—441no—
1465C4⋊C4—441no—
1466C4⋊C4—441no—
1467C4⋊C4—441no—
1468C4⋊C4—441no—
1469C4⋊C4—441no—
1470C4⋊C4—441no—
1471C4⋊C4—441no—
1472C22⋊C4—22no—
1473C22⋊C4—22no—
1474C22⋊C4—22no—
1475C22⋊C4—22no—
1476C22⋊C4—22no—
1477C22⋊C4—22no—
1478C22⋊C4—22no—
1479C22⋊C4—22no—
1480C22⋊C4—41no—
1481C22⋊C4—41no—
1482C22⋊C4—41no—
1483C22⋊C4—41no—
1484C22⋊C4—41no—
1485C22⋊C4—41no—
1486C22⋊C4—41no—
1487C22⋊C4—41no—
1488C22⋊C4—41no—
1489C22⋊C4—41no—
1490C22⋊C4—114no—
1491C22⋊C4—114no—
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—222no—
1508C22⋊C4—222no—
1509C22⋊C4—222no—
1510C22⋊C4—222no—
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⋊C4—441no—
1531C22⋊C4—441no—
1532C42—41no—
1533C42—114no—
1534C42—222no—
1535C42—222no—
1536C42—441no—
1537C42—441no—
1538C42—441no—
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—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—21no—
1578C23—44no—
1579C23—44no—
1580C23—44no—
1581C23—44no—
1582C23—44no—
1583C23—44no—
1584C23—44no—
1585C23—44no—
1586C23—82no—
1587C23—82no—
1588C23—82no—
1589C23—82no—
1590C23—82no—
1591C23—82no—
1592C23—221no—
1593C23—221no—
1594C23—221no—
1595C23—221no—
1596C23—221no—
1597C23—221no—
1598C23—221no—
1599C23—221no—
1600C23—221no—
1601C23—221no—
1602C23—221no—
1603C23—221no—
1604C23—221no—
1605C23—221no—
1606C23C2×D4×D1112yes—
1607C23C2×D4×D1112yes—
1608C23#6703712yes—
1609C23#6703712yes—
1610C23C24×D1111yescharacteristic
1611Q8—444no—
1612Q8—882no—
1613D4—44no—
1614D4—44no—
1615D4—44no—
1616D4—82no—
1617D4—82no—
1618D4—82no—
1619D4—82no—
1620D4—82no—
1621D4—82no—
1622D4—444no—
1623D4—444no—
1624D4—444no—
1625D4—444no—
1626D4—444no—
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—112no—
1662C2×C4—112no—
1663C2×C4—112no—
1664C2×C4—112no—
1665C2×C4—112no—
1666C2×C4—228no—
1667C2×C4—221no—
1668C2×C4—221no—
1669C2×C4—221no—
1670C2×C4—221no—
1671C2×C4—221no—
1672C2×C4—221no—
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—221no—
1703C2×C4—221no—
1704C2×C4—444no—
1705C2×C4—444no—
1706C2×C4—444no—
1707C2×C4—444no—
1708C2×C4—444no—
1709C2×C4—444no—
1710C2×C4—444no—
1711C2×C4—882no—
1712C2×C4—882no—
1713C2×C4C2×D4×D1112yes—
1714C22—22no—
1715C22—22no—
1716C22—22no—
1717C22—22no—
1718C22—22no—
1719C22—22no—
1720C22—22no—
1721C22—22no—
1722C22—22no—
1723C22—22no—
1724C22—22no—
1725C22—22no—
1726C22—416no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—41no—
1753C22—41no—
1754C22—41no—
1755C22—41no—
1756C22—41no—
1757C22—88no—
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—441no—
1772C22C22×D4×D1111yescharacteristic
1773C22C2×#6703711yescharacteristic
1774C22C2×#6703711yescharacteristic
1775C22D11×H(5,𝔽2)11yescharacteristic
1776C22#1062345511yescharacteristic
1777C22#1062345511yescharacteristic
1778C22#1062345511yescharacteristic
1779C4—22no—
1780C4—41no—
1781C4—41no—
1782C4—41no—
1783C4—41no—
1784C4—41no—
1785C4—41no—
1786C4—41no—
1787C4—41no—
1788C4—222no—
1789C4—222no—
1790C4—222no—
1791C4—222no—
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—42no—
1805C2—42no—
1806C2—81no—
1807C2—81no—
1808C2—881no—
1809C2—881no—
1810C2#1308194211yescharacteristic
1811C2#1308224411yescharacteristic
1812C2#1308227611yescharacteristic
1813C2#1308277711yescharacteristic
1814C2#1308279411yescharacteristic
1815C2#1308288911yescharacteristic
1816C2#1308292711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2679C2
hypercenter#2679D11
hypocenterC11#36724
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2679

Complements

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

NH ≅ G/Ntype
1. C2×#10623124C2semidirect
2. C2×#10623117C2semidirect
3. #13076906C2semidirect
4. #13076896C2semidirect
5. #13075284C2semidirect
6. #13075237C2semidirect
7. #13075220C2semidirect
8. #13075201C2semidirect
9. #13075043C2semidirect
10. #13074984C2semidirect
11. #13074970C2semidirect
12. #13074965C2semidirect
13. #13074941C2semidirect
14. #13074941C2semidirect
15. #13074941C2semidirect
16. #13074869C2semidirect
17. #13074838C2semidirect
18. #13074833C2semidirect
19. #13074830C2semidirect
20. #13074502C2semidirect
21. #13074456C2semidirect
22. #13074300C2semidirect
23. #13074239C2semidirect
24. #13074206C2semidirect
25. #13074199C2semidirect
26. #13073582C2semidirect
27. #13073503C2semidirect
28. #13071956C2semidirect
29. #13071932C2semidirect
30. #13071253C2semidirect
31. C11×#2679C2semidirect
32. C24×Dic11C22semidirect
40. C2×#67006C22semidirect
41. C2×#67006C22semidirect
42. C2×#67006C22semidirect
43. C2×#67006C22semidirect
44. C22×C22⋊Dic11C22semidirect
62. C2×#66949C22semidirect
63. C2×#66939C22semidirect
64. C2×#66938C22semidirect
65. C2×#66938C22semidirect
66. C2×#66937C22semidirect
67. C2×#66936C22semidirect
68. C2×(C22⋊D11)⋊C4C22semidirect
69. C2×(C22⋊D11)⋊C4C22semidirect
70. C2×(C22⋊D11)⋊C4C22semidirect
71. C2×#66932C22semidirect
72. C2×#66932C22semidirect
73. C2×#66931C22semidirect
74. C2×#66931C22semidirect
75. C2×#66931C22semidirect
76. C2×#66930C22semidirect
86. #10622860C22semidirect
87. #10622860C22semidirect
108. #10622605C22semidirect
109. #10622604C22semidirect
110. #10622603C22semidirect
111. #10622602C22semidirect
112. #10622597C22semidirect
113. #10622596C22semidirect
114. #10622594C22semidirect
115. #10622593C22semidirect
116. #10622592C22semidirect
117. C4⋊C4×Dic11C22semidirect
118. #10622586C22semidirect
119. #10622574C22semidirect
120. #10622574C22semidirect
121. #10622574C22semidirect
122. #10622574C22semidirect
123. #10622574C22semidirect
124. #10622573C22semidirect
125. #10622573C22semidirect
126. #10622573C22semidirect
127. #10622572C22semidirect
128. #10622572C22semidirect
129. #10622572C22semidirect
130. #10622572C22semidirect
131. #10622572C22semidirect
132. #10622571C22semidirect
133. #10622571C22semidirect
134. #10622571C22semidirect
135. #10622571C22semidirect
136. #10622570C22semidirect
137. #10622570C22semidirect
138. #10622570C22semidirect
139. #10622570C22semidirect
140. #10622569C22semidirect
141. #10622569C22semidirect
142. #10622569C22semidirect
143. #10622565C22semidirect
144. #10622565C22semidirect
145. #10622565C22semidirect
146. #10622564C22semidirect
147. #10622564C22semidirect
148. #10622561C22semidirect
149. #10622561C22semidirect
150. #10622561C22semidirect
151. #10622561C22semidirect
152. #10622561C22semidirect
153. #10622560C22semidirect
154. #10622560C22semidirect
155. #10622560C22semidirect
156. #10622559C22semidirect
157. #10622559C22semidirect
158. #10622559C22semidirect
159. #10622559C22semidirect
160. #10622558C22semidirect
161. #10622558C22semidirect
162. #10622558C22semidirect
163. #10622558C22semidirect
164. #10622558C22semidirect
165. #10622558C22semidirect
166. #10622557C22semidirect
167. #10622557C22semidirect
168. #10622557C22semidirect
169. #10622556C22semidirect
170. #10622556C22semidirect
171. #10622556C22semidirect
172. #10622556C22semidirect
173. #10622555C22semidirect
174. #10622555C22semidirect
175. #10622555C22semidirect
176. #10622555C22semidirect
177. #10622553C22semidirect
178. #10622553C22semidirect
179. #10622545C22semidirect
180. #10622541C22semidirect
181. #10622289C22semidirect
182. #10622281C22semidirect
183. #10622278C22semidirect
184. #10622271C22semidirect
185. #10622267C22semidirect
186. #10622260C22semidirect
187. #10622259C22semidirect
188. #10622259C22semidirect
306. D4×Dic11D4semidirect
644. #2679D11semidirect
1539. C11#36724semidirect

Maximal subgroups

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

subgroupindex
C2×#106231242
C2×#106231172
#130769062
#130768962
#130752842
#130752372
#130752202
#130752012
#130750432
#130749842
#130749702
#130749652
#130749412
#130748692
#130748382
#130748332
#130748302
#130745022
#130744562
#130743002
#130742392
#130742062
#130741992
#130735822
#130735032
#130719562
#130719322
#130712532
C11×#26792
#3672411