Finite Group Databasebeta

← #14926474

Subgroups — #14926474

Order 2816.

2878 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623196C211yesmaximal, characteristic, complemented
2C22×D4×Dic11C211yesmaximal, characteristic, complemented
3#13076933C211yesmaximal, characteristic, complemented
4#13076922C211yesmaximal, characteristic, complemented
5#13076910C211yesmaximal, characteristic, complemented
6#13076901C211yesmaximal, characteristic, complemented
7#13074532C211yesmaximal, characteristic, complemented
8#13074512C211yesmaximal, characteristic, complemented
9#13074483C211yesmaximal, characteristic, complemented
10#13074454C211yesmaximal, characteristic, complemented
11#13072861C211yesmaximal, characteristic, complemented
12#13072756C211yesmaximal, characteristic, complemented
13#13072647C211yesmaximal, characteristic, complemented
14#13072608C211yesmaximal, characteristic, complemented
15#13072563C211yesmaximal, characteristic, complemented
16#13072494C211yesmaximal, characteristic, complemented
17#13072431C211yesmaximal, characteristic, complemented
18#13072423C211yesmaximal, characteristic, complemented
19#13072349C211yesmaximal, characteristic, complemented
20#13072282C211yesmaximal, characteristic, complemented
21#13072171C211yesmaximal, characteristic, complemented
22#13072089C211yesmaximal, characteristic, complemented
23#13072082C211yesmaximal, characteristic, complemented
24#13072012C211yesmaximal, characteristic, complemented
25#13071990C211yesmaximal, characteristic
26#13071317C211yesmaximal, characteristic, complemented
27#13071288C211yesmaximal, characteristic, complemented
28#13071242C211yesmaximal, characteristic, complemented
29#13071115C211yesmaximal, characteristic, complemented
30C2×#10622563C211yesmaximal, characteristic, complemented
31C11×#2405C211yesmaximal, characteristic, complemented
32C23×D4×C11C2211yescharacteristic
33C24×Dic11C2211yescharacteristic
34C24×Dic11C2211yescharacteristic
35C2×C11×#123C2211yescharacteristic
36C2×C11×#123C2211yescharacteristic
37C22×C11×C22⋊C4C2211yescharacteristic
38C2×#67006C2211yescharacteristic
39C2×#67006C2211yescharacteristic
40C22×C22⋊Dic11C2211yescharacteristic
41C22×C22⋊Dic11C2211yescharacteristic
42C22×C22⋊Dic11C2211yescharacteristic
43C2×#66992C2211yescharacteristic
44C2×#66992C2211yescharacteristic
45C2×D4×Dic11—28no—
46C2×D4×Dic11C2211yescharacteristic
47C2×D4×Dic11C2211yescharacteristic
48C2×D4×Dic11C2211yescharacteristic
49C2×D4×Dic11C2211yescharacteristic
50C2×D4×Dic11C2211yescharacteristic
51C2×D4×Dic11C2211yescharacteristic
52C2×D4×Dic11C2211yescharacteristic
53C2×D4×Dic11C2211yescharacteristic
54C2×#66982C2211yescharacteristic, complemented
55C22×C4⋊Dic11C2211yescharacteristic
56C22×C4⋊Dic11C2211yescharacteristic, complemented
57C22×C4⋊Dic11C2211yescharacteristic, complemented
58C22×C4×Dic11C2211yescharacteristic
59#10623196—28no—
60C2×#66951C2211yescharacteristic, complemented
61C2×#66950C2211yescharacteristic, complemented
62C2×#66943C2211yescharacteristic, complemented
63C2×#66942C2211yescharacteristic, complemented
64C2×#66939C2211yescharacteristic, complemented
65C2×#66939C2211yescharacteristic, complemented
66C2×#66936C2211yescharacteristic, complemented
67C2×(C22⋊D11)⋊C4C2211yescharacteristic
68C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
69C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
70C2×#66932C2211yescharacteristic, complemented
71C2×#66931C2211yescharacteristic
72C2×#66931C2211yescharacteristic, complemented
73C2×#66931C2211yescharacteristic, complemented
74C2×#66931C2211yescharacteristic, complemented
75C11×#394C2211yescharacteristic
76C11×#394C2211yescharacteristic
77C11×#394C2211yescharacteristic
78C11×#394C2211yescharacteristic
79C11×#386C2211yescharacteristic
80C11×#386C2211yescharacteristic
81C11×#385C2211yescharacteristic
82C11×#385C2211yescharacteristic
83C11×#379C2211yescharacteristic
84C11×#379C2211yescharacteristic
85C11×#379C2211yescharacteristic
86#10622860C2211yescharacteristic
87#10622836C2211yescharacteristic
88#10622836C2211yescharacteristic
89#10622835C2211yescharacteristic
90#10622835C2211yescharacteristic
91#10622833C2211yescharacteristic
92#10622833C2211yescharacteristic
93#10622826C2211yescharacteristic
94#10622826C2211yescharacteristic, complemented
95#10622824C2211yescharacteristic, complemented
96#10622823C2211yescharacteristic
97#10622823C2211yescharacteristic, complemented
98C2×C11⋊#95C2211yescharacteristic, complemented
99C2×C11⋊#95C2211yescharacteristic, complemented
100#10622607C2211yescharacteristic, complemented
101#10622603C2211yescharacteristic, complemented
102#10622599C2211yescharacteristic, complemented
103#10622598C2211yescharacteristic, complemented
104#10622598C2211yescharacteristic, complemented
105#10622597C2211yescharacteristic, complemented
106#10622596C2211yescharacteristic, complemented
107#10622594C2211yescharacteristic, complemented
108#10622594C2211yescharacteristic, complemented
109#10622591C2211yescharacteristic, complemented
110#10622591C2211yescharacteristic, complemented
111#10622585C2211yescharacteristic, complemented
112#10622574C2211yescharacteristic, complemented
113#10622572C2211yescharacteristic, complemented
114#10622572C2211yescharacteristic, complemented
115#10622572C2211yescharacteristic, complemented
116#10622571C2211yescharacteristic
117#10622571C2211yescharacteristic
118#10622571C2211yescharacteristic
119#10622571C2211yescharacteristic, complemented
120#10622571C2211yescharacteristic, complemented
121#10622571C2211yescharacteristic, complemented
122#10622571C2211yescharacteristic, complemented
123#10622569C2211yescharacteristic, complemented
124#10622566C2211yescharacteristic, complemented
125#10622565C2211yescharacteristic, complemented
126#10622565C2211yescharacteristic, complemented
127#10622565C2211yescharacteristic, complemented
128#10622565C2211yescharacteristic, complemented
129#10622565C2211yescharacteristic, complemented
130#10622564C2211yescharacteristic, complemented
131#10622564C2211yescharacteristic, complemented
132#10622563C2211yescharacteristic
133#10622563C2211yescharacteristic
134#10622563C2211yescharacteristic
135#10622563C2211yescharacteristic
136#10622563C2211yescharacteristic
137#10622563C2211yescharacteristic, complemented
138#10622563C2211yescharacteristic, complemented
139#10622563C2211yescharacteristic, complemented
140#10622563C2211yescharacteristic, complemented
141#10622563C2211yescharacteristic, complemented
142#10622563C2211yescharacteristic, complemented
143#10622563C2211yescharacteristic, complemented
144#10622563C2211yescharacteristic, complemented
145#10622563C2211yescharacteristic, complemented
146#10622562C2211yescharacteristic, complemented
147#10622562C2211yescharacteristic, complemented
148#10622561C2211yescharacteristic, complemented
149#10622561C2211yescharacteristic, complemented
150#10622561C2211yescharacteristic, complemented
151#10622560C2211yescharacteristic, complemented
152#10622559C2211yescharacteristic
153#10622559C2211yescharacteristic
154#10622559C2211yescharacteristic, complemented
155#10622559C2211yescharacteristic, complemented
156#10622559C2211yescharacteristic, complemented
157#10622559C2211yescharacteristic, complemented
158#10622559C2211yescharacteristic, complemented
159#10622558C2211yescharacteristic, complemented
160#10622558C2211yescharacteristic, complemented
161#10622557C2211yescharacteristic, complemented
162#10622556C2211yescharacteristic, complemented
163#10622556C2211yescharacteristic, complemented
164#10622555C2211yescharacteristic
165#10622555C2211yescharacteristic
166#10622555C2211yescharacteristic
167#10622555C2211yescharacteristic, complemented
168#10622555C2211yescharacteristic, complemented
169#10622555C2211yescharacteristic, complemented
170C22⋊C4×Dic11C2211yescharacteristic
171C22⋊C4×Dic11C2211yescharacteristic, complemented
172C22⋊C4×Dic11C2211yescharacteristic, complemented
173#10622290C2211yescharacteristic, complemented
174#10622283C2211yescharacteristic, complemented
175#10622282C2211yescharacteristic, complemented
176#10622281C2211yescharacteristic, complemented
177#10622274C2211yescharacteristic, complemented
178#10622274C2211yescharacteristic, complemented
179#10622269C2211yescharacteristic, complemented
180#10622268C2211yescharacteristic, complemented
181#10622267C2211yescharacteristic, complemented
182#10622267C2211yescharacteristic, complemented
183#10622266C2211yescharacteristic, complemented
184#10622266C2211yescharacteristic, complemented
185#10622265C2211yescharacteristic, complemented
186#10622264C2211yescharacteristic, complemented
187#10622263C2211yescharacteristic, complemented
188#10622260C2211yescharacteristic, complemented
189C25×C11C2311yescharacteristic
190C25×C11C2311yescharacteristic
191C22×D4×C11—24no—
192C22×D4×C11—24no—
193C22×D4×C11—24no—
194C22×D4×C11C2311yescharacteristic
195C22×D4×C11C2311yescharacteristic
196C22×D4×C11C2311yescharacteristic
197C22×D4×C11C2311yescharacteristic
198C23×C4×C11C2311yescharacteristic
199C23×C4×C11C2311yescharacteristic
200C23×C4×C11C2311yescharacteristic
201C22×C22⋊D11C2311yescharacteristic
202C22×C22⋊D11C2311yescharacteristic
203C22×C22⋊D11C2311yescharacteristic
204C22×C22⋊D11C2311yescharacteristic
205C22×C22⋊D11C2311yescharacteristic
206C23×Dic11—24no—
207C23×Dic11—24no—
208C23×Dic11—42no—
209C23×Dic11—42no—
210C23×Dic11—42no—
211C23×Dic11—42no—
212C23×Dic11C2311yescharacteristic
213C23×Dic11C2311yescharacteristic
214C23×Dic11C2311yescharacteristic
215C23×Dic11C2311yescharacteristic
216C23×Dic11C2311yescharacteristic
217C23×Dic11C2311yescharacteristic
218C23×Dic11C2311yescharacteristic
219C23×Dic11C2311yescharacteristic
220C23×Dic11C2311yescharacteristic
221C23×Dic11C2311yescharacteristic
222C23×Dic11C2311yescharacteristic
223C23×Dic11C2311yescharacteristic
224C23×Dic11C2311yescharacteristic
225C23×Dic11C2311yescharacteristic
226C22×C4×D11C2311yescharacteristic
227C22×Dic22C2311yescharacteristic
228C11×#123—24no—
229C11×#123—24no—
230C2×C11×C4⋊C4C2311yescharacteristic
231C2×C11×C4⋊C4C2311yescharacteristic
232C2×C11×C4⋊C4C2311yescharacteristic
233C2×C11×C4⋊C4C2311yescharacteristic
234C2×C11×C22⋊C4—24no—
235C2×C11×C22⋊C4C2311yescharacteristic
236C2×C11×C22⋊C4C2311yescharacteristic
237C2×C11×C22⋊C4C2311yescharacteristic
238C2×C11×C22⋊C4C2311yescharacteristic
239C2×C11×C22⋊C4C2311yescharacteristic
240C2×C11×C22⋊C4C2311yescharacteristic
241C2×C11×C22⋊C4C2311yescharacteristic
242C2×C11×C22⋊C4C2311yescharacteristic
243C2×C11×C22⋊C4C2311yescharacteristic
244C2×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
253#67006—24no—
254#67006—42no—
255C2×C22⋊Dic11—24no—
256C2×C22⋊Dic11—24no—
257C2×C22⋊Dic11—42no—
258C2×C22⋊Dic11C2311yescharacteristic
259C2×C22⋊Dic11C2311yescharacteristic
260C2×C22⋊Dic11C2311yescharacteristic
261C2×C22⋊Dic11C2311yescharacteristic
262C2×C22⋊Dic11C2311yescharacteristic
263C2×C22⋊Dic11C2311yescharacteristic
264C2×C22⋊Dic11C2311yescharacteristic
265C2×C22⋊Dic11C2311yescharacteristic
266C2×C22⋊Dic11C2311yescharacteristic
267C2×C22⋊Dic11C2311yescharacteristic
268C2×C22⋊Dic11C2311yescharacteristic
269C2×C22⋊Dic11C2311yescharacteristic
270C2×C22⋊Dic11C2311yescharacteristic
271C2×C22⋊Dic11C2311yescharacteristic
272C2×C22⋊Dic11C2311yescharacteristic
273C2×C22⋊Dic11C2311yescharacteristic
274C2×C22⋊Dic11C2311yescharacteristic
275C2×C22⋊Dic11C2311yescharacteristic
276C2×C22⋊Dic11C2311yescharacteristic
277C2×C22⋊Dic11C2311yescharacteristic
278C2×C22⋊Dic11C2311yescharacteristic
279#66992—24no—
280#66992—24no—
281D4×Dic11—24no—
282D4×Dic11—24no—
283D4×Dic11—24no—
284D4×Dic11—24no—
285D4×Dic11—24no—
286D4×Dic11—24no—
287D4×Dic11—24no—
288D4×Dic11D418yescomplemented
289#66982—24no—
290C2×(C2×D11)⋊C4C2311yescharacteristic
291C2×(C2×D11)⋊C4C2311yescharacteristic
292C2×(C2×D11)⋊C4C2311yescharacteristic
293C2×(C2×D11)⋊C4C2311yescharacteristic
294C2×(C2×D11)⋊C4C2311yescharacteristic
295C2×(C2×D11)⋊C4C2311yescharacteristic
296C2×(C2×D11)⋊C4C2311yescharacteristic
297C2×(C2×D11)⋊C4C2311yescharacteristic
298C2×(C2×D11)⋊C4C2311yescharacteristic
299C2×C4⋊Dic11—24no—
300C2×C4⋊Dic11—24no—
301C2×C4⋊Dic11—42no—
302C2×C4⋊Dic11C2311yescharacteristic
303C2×C4⋊Dic11C2311yescharacteristic
304C2×C4⋊Dic11C2311yescharacteristic
305C2×C4⋊Dic11C2311yescharacteristic
306C2×C4⋊Dic11C2311yescharacteristic
307C2×C4⋊Dic11C2311yescharacteristic
308C2×C4⋊Dic11C2311yescharacteristic
309C2×C4⋊Dic11C2311yescharacteristic
310C2×C4⋊Dic11C2311yescharacteristic
311C2×C4⋊Dic11C2311yescharacteristic
312C2×C4⋊Dic11C2311yescharacteristic
313C2×C4⋊Dic11C2311yescharacteristic
314C2×C4⋊Dic11C2311yescharacteristic
315C2×C4⋊Dic11C2311yescharacteristic
316C2×C4⋊Dic11C2311yescharacteristic
317C2×Dic11⋊C4C2311yescharacteristic
318C2×Dic11⋊C4C2311yescharacteristic
319C2×Dic11⋊C4C2311yescharacteristic
320C2×Dic11⋊C4C2311yescharacteristic
321C2×Dic11⋊C4C2311yescharacteristic
322C2×Dic11⋊C4C2311yescharacteristic
323C2×Dic11⋊C4C2311yescharacteristic
324C2×Dic11⋊C4C2311yescharacteristic
325C2×Dic11⋊C4C2311yescharacteristic
326C2×Dic11⋊C4C2311yescharacteristic
327C2×Dic11⋊C4C2311yescharacteristic
328C2×Dic11⋊C4C2311yescharacteristic
329C2×Dic11⋊C4C2311yescharacteristic
330C2×Dic11⋊C4C2311yescharacteristic
331C2×Dic11⋊C4C2311yescharacteristic
332C2×C4×Dic11—24no—
333C2×C4×Dic11C2311yescharacteristic
334C2×C4×Dic11C2311yescharacteristic
335C2×C4×Dic11C2311yescharacteristic
336C2×C4×Dic11C2311yescharacteristic
337C2×C4×Dic11C2311yescharacteristic
338C2×C4×Dic11C2311yescharacteristic
339C2×C4×Dic11C2311yescharacteristic
340#66951—24no—
341#66950—24no—
342#66943—24no—
343#66942—24no—
344#66939—24no—
345#66939—42no—
346#66936—24no—
347(C22⋊D11)⋊C4—24no—
348(C22⋊D11)⋊C4—42no—
349(C22⋊D11)⋊C4—42no—
350#66932—24no—
351#66931—24no—
352#66931—24no—
353#66931—42no—
354#66931—42no—
355C11×#95C2311yescharacteristic
356C11×#95C2311yescharacteristic
357C11×#95C2311yescharacteristic
358C11×#95C2311yescharacteristic
359C11⋊#95C2311yescharacteristic
360C11⋊#95C2311yescharacteristic
361C11⋊#95C2311yescharacteristic
362C11⋊#95C2311yescharacteristic
363C11⋊#95C2311yescharacteristic
364C11⋊#95C2311yescharacteristic
365C11⋊#95C2311yescharacteristic
366C11⋊#95C2311yescharacteristic
367C11⋊#95C2311yescharacteristic
368C11⋊#95C2311yescharacteristic
369C11⋊#95C2311yescharacteristic
370C11⋊#95C2311yescharacteristic
371C11⋊#95C2311yescharacteristic
372C11⋊#95C2311yescharacteristic
373C11⋊#95C2311yescharacteristic
374C11⋊#95C2311yescharacteristic
375C11⋊#95C2311yescharacteristic
376C11⋊#95C2311yescharacteristic
377C11⋊#95C2311yescharacteristic
378C11⋊#95C2311yescharacteristic
379C11⋊#95C2311yescharacteristic
380C11⋊#95C2311yescharacteristic
381C11⋊#95C2311yescharacteristic
382C11⋊#95C2311yescharacteristic
383C11⋊#95C2311yescharacteristic
384C11⋊#95C2311yescharacteristic
385C11⋊#95C2311yescharacteristic
386C11⋊#95C2311yescharacteristic
387C11⋊#95C2311yescharacteristic
388C11⋊#95C2311yescharacteristic
389C11⋊#95C2311yescharacteristic
390C11⋊#95C2311yescharacteristic
391#34991—111nomaximal, Sylow
392C24×C11—22no—
393C24×C11—22no—
394C24×C11—22no—
395C24×C11—22no—
396C24×C11—22no—
397C24×C11—22no—
398C24×C11—22no—
399C24×C11—22no—
400C24×C11—22no—
401C24×C11—41no—
402C24×C11—41no—
403C24×C11—41no—
404C24×C11—41no—
405C24×C11#4114yes—
406C24×C11C2411yescharacteristic
407C24×C11C2411yescharacteristic
408C24×C11C2411yescharacteristic
409C24×C11C2411yescharacteristic
410C24×C11C2411yescharacteristic
411C23×D11C2411yescharacteristic
412C2×D4×C11—232no—
413C2×D4×C11—22no—
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×C11C2×D414yes—
424C2×D4×C11#4114yes—
425C22×C4×C11—22no—
426C22×C4×C11—22no—
427C22×C4×C11—22no—
428C22×C4×C11—22no—
429C22×C4×C11—22no—
430C22×C4×C11—22no—
431C22×C4×C11—22no—
432C22×C4×C11—41no—
433C22×C4×C11—41no—
434C22×C4×C11C2411yescharacteristic
435C22×C4×C11C2411yescharacteristic
436C22×C4×C11C2411yescharacteristic
437C22×C4×C11C2411yescharacteristic
438C22×C4×C11C2411yescharacteristic
439C22×C4×C11C2411yescharacteristic
440C22×C4×C11C2411yescharacteristic
441C22×C4×C11C2411yescharacteristic
442C22×C4×C11C2411yescharacteristic
443C22×C4×C11C2411yescharacteristic
444C2×C22⋊D11—22no—
445C2×C22⋊D11—22no—
446C2×C22⋊D11—22no—
447C2×C22⋊D11—22no—
448C2×C22⋊D11—22no—
449C2×C22⋊D11—22no—
450C2×C22⋊D11—22no—
451C2×C22⋊D11—22no—
452C2×C22⋊D11—22no—
453C2×C22⋊D11—41no—
454C2×C22⋊D11—41no—
455C2×C22⋊D11—41no—
456C2×C22⋊D11—41no—
457C2×C22⋊D11—41no—
458C2×C22⋊D11—41no—
459C22×Dic11—22no—
460C22×Dic11—22no—
461C22×Dic11—22no—
462C22×Dic11—22no—
463C22×Dic11—22no—
464C22×Dic11—22no—
465C22×Dic11—22no—
466C22×Dic11—22no—
467C22×Dic11—22no—
468C22×Dic11—22no—
469C22×Dic11—22no—
470C22×Dic11—22no—
471C22×Dic11—22no—
472C22×Dic11—22no—
473C22×Dic11—22no—
474C22×Dic11—22no—
475C22×Dic11—22no—
476C22×Dic11—22no—
477C22×Dic11—22no—
478C22×Dic11—22no—
479C22×Dic11—22no—
480C22×Dic11—41no—
481C22×Dic11—41no—
482C22×Dic11—41no—
483C22×Dic11—41no—
484C22×Dic11—41no—
485C22×Dic11—41no—
486C22×Dic11—41no—
487C22×Dic11—41no—
488C22×Dic11—41no—
489C22×Dic11—41no—
490C22×Dic11—41no—
491C22×Dic11—41no—
492C22×Dic11—41no—
493C22×Dic11—41no—
494C22×Dic11—41no—
495C22×Dic11—41no—
496C22×Dic11—41no—
497C22×Dic11—41no—
498C22×Dic11—41no—
499C22×Dic11—416no—
500C22×Dic11—416no—
501C22×Dic11C2×D414yes—
502C22×Dic11C2×D414yes—
503C22×Dic11C2411yescharacteristic
504C22×Dic11C2411yescharacteristic
505C22×Dic11C2411yescharacteristic
506C22×Dic11C2411yescharacteristic
507C22×Dic11C2411yescharacteristic
508C22×Dic11C2411yescharacteristic
509C22×Dic11C2411yescharacteristic
510C22×Dic11C2411yescharacteristic
511C22×Dic11C2411yescharacteristic
512C22×Dic11C2411yescharacteristic
513C22×Dic11C2411yescharacteristic
514C22×Dic11C2411yescharacteristic
515C22×Dic11C2411yescharacteristic
516C22×Dic11C2411yescharacteristic
517C22×Dic11C2411yescharacteristic
518C2×C4×D11—22no—
519C2×C4×D11—41no—
520C2×C4×D11—41no—
521C2×Dic22—22no—
522C2×Dic22—41no—
523C2×Dic22—41no—
524C11×C4⋊C4—22no—
525C11×C4⋊C4—22no—
526C11×C4⋊C4—22no—
527C11×C4⋊C4—22no—
528C11×C22⋊C4—22no—
529C11×C22⋊C4—22no—
530C11×C22⋊C4—22no—
531C11×C22⋊C4—22no—
532C11×C22⋊C4—22no—
533C11×C22⋊C4—22no—
534C11×C22⋊C4—22no—
535C11×C22⋊C4—22no—
536C11×C22⋊C4—22no—
537C11×C22⋊C4—22no—
538C11×C22⋊C4—22no—
539C11×C22⋊C4—22no—
540C11×C22⋊C4—41no—
541C11×C22⋊C4—41no—
542C11×C22⋊C4—41no—
543C11×C22⋊C4—41no—
544C11×C22⋊C4—41no—
545C11×C22⋊C4—41no—
546C22⋊Dic11—22no—
547C22⋊Dic11—22no—
548C22⋊Dic11—22no—
549C22⋊Dic11—22no—
550C22⋊Dic11—22no—
551C22⋊Dic11—22no—
552C22⋊Dic11—22no—
553C22⋊Dic11—22no—
554C22⋊Dic11—22no—
555C22⋊Dic11—22no—
556C22⋊Dic11—22no—
557C22⋊Dic11—22no—
558C22⋊Dic11—22no—
559C22⋊Dic11—41no—
560C22⋊Dic11—41no—
561C22⋊Dic11—41no—
562C22⋊Dic11—41no—
563C22⋊Dic11—41no—
564C22⋊Dic11—41no—
565C22⋊Dic11C2×D414yes—
566C22⋊Dic11C2×D414yes—
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—41no—
574(C2×D11)⋊C4—41no—
575(C2×D11)⋊C4—41no—
576C4⋊Dic11—22no—
577C4⋊Dic11—22no—
578C4⋊Dic11—22no—
579C4⋊Dic11—22no—
580C4⋊Dic11—22no—
581C4⋊Dic11—22no—
582C4⋊Dic11—22no—
583C4⋊Dic11—22no—
584C4⋊Dic11—22no—
585C4⋊Dic11—22no—
586C4⋊Dic11—41no—
587C4⋊Dic11—41no—
588C4⋊Dic11—41no—
589C4⋊Dic11—41no—
590C4⋊Dic11C2×D414yes—
591Dic11⋊C4—22no—
592Dic11⋊C4—22no—
593Dic11⋊C4—22no—
594Dic11⋊C4—22no—
595Dic11⋊C4—22no—
596Dic11⋊C4—22no—
597Dic11⋊C4—22no—
598Dic11⋊C4—22no—
599Dic11⋊C4—41no—
600Dic11⋊C4—41no—
601Dic11⋊C4—41no—
602Dic11⋊C4—41no—
603Dic11⋊C4—41no—
604Dic11⋊C4—41no—
605Dic11⋊C4—41no—
606C4×Dic11—22no—
607C4×Dic11—22no—
608C4×Dic11—22no—
609C4×Dic11—22no—
610C4×Dic11—41no—
611C4×Dic11—41no—
612C4×Dic11C2×D414yes—
613C2×#539—111no—
614C22×C4×D4—111no—
615#2852—111no—
616#2851—111no—
617#2849—111no—
618#2848—111no—
619#2638—111no—
620#2636—111no—
621#2633—111no—
622#2630—111no—
623#2480—111no—
624#2473—111no—
625#2466—111no—
626#2463—111no—
627#2460—111no—
628#2455—111no—
629#2449—111no—
630#2449—111no—
631#2443—111no—
632#2437—111no—
633#2425—111no—
634#2419—111no—
635#2418—111no—
636#2412—111no—
637#2410—111no—
638#2405D1111yescharacteristic, complemented
639#2325—111no—
640#2322—111no—
641#2318—111no—
642C4×#120—111no—
643C2×#385—111no—
644C23×C11—21no—
645C23×C11—21no—
646C23×C11—21no—
647C23×C11—21no—
648C23×C11—21no—
649C23×C11—21no—
650C23×C11—21no—
651C23×C11—21no—
652C23×C11—28no—
653C23×C11—28no—
654C23×C11—28no—
655C23×C11—21no—
656C23×C11—21no—
657C23×C11—21no—
658C23×C11—21no—
659C23×C11—21no—
660C23×C11—21no—
661C23×C11—21no—
662C23×C11—21no—
663C23×C11—21no—
664C23×C11—21no—
665C23×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—44no—
674C23×C11—44no—
675C23×C11—44no—
676C23×C11—44no—
677C23×C11—44no—
678C23×C11—44no—
679C23×C11—44no—
680C23×C11—44no—
681C23×C11—44no—
682C23×C11—44no—
683C23×C11—44no—
684C23×C11C22×D412yes—
685C23×C11C22×D412yes—
686C23×C11C2×#4112yes—
687C23×C11C2×#4112yes—
688C23×C11C2×#4112yes—
689C23×C11C2×#4112yes—
690C23×C11C2×#4112yes—
691C23×C11H(5,𝔽2)12yes—
692C23×C112−1+412yes—
693C23×C11C2511yescharacteristic
694C22×D11—21no—
695C22×D11—21no—
696C22×D11—21no—
697C22×D11—21no—
698C22×D11—21no—
699C22×D11—21no—
700C22×D11—21no—
701D4×C11—28no—
702D4×C11—28no—
703D4×C11—28no—
704D4×C11—28no—
705C2×C4×C11—28no—
706C2×C4×C11—21no—
707C2×C4×C11—21no—
708C2×C4×C11—21no—
709C2×C4×C11—21no—
710C2×C4×C11—21no—
711C2×C4×C11—21no—
712C2×C4×C11—21no—
713C2×C4×C11—21no—
714C2×C4×C11—21no—
715C2×C4×C11—21no—
716C2×C4×C11—21no—
717C2×C4×C11—21no—
718C2×C4×C11—21no—
719C2×C4×C11—21no—
720C2×C4×C11—21no—
721C2×C4×C11—21no—
722C2×C4×C11—21no—
723C2×C4×C11—21no—
724C2×C4×C11—21no—
725C2×C4×C11—21no—
726C2×C4×C11—21no—
727C2×C4×C11—21no—
728C2×C4×C11—21no—
729C2×C4×C11—21no—
730C2×C4×C11—21no—
731C2×C4×C11—21no—
732C2×C4×C11—21no—
733C2×C4×C11—21no—
734C2×C4×C11—44no—
735C2×C4×C11—44no—
736C2×C4×C11C22×D412yes—
737C2×C4×C11C2×#4112yes—
738C22⋊D11—44no—
739C22⋊D11—44no—
740C22⋊D11—44no—
741C22⋊D11—82no—
742C22⋊D11—82no—
743C2×Dic11—28no—
744C2×Dic11—21no—
745C2×Dic11—21no—
746C2×Dic11—21no—
747C2×Dic11—21no—
748C2×Dic11—21no—
749C2×Dic11—21no—
750C2×Dic11—21no—
751C2×Dic11—21no—
752C2×Dic11—21no—
753C2×Dic11—21no—
754C2×Dic11—21no—
755C2×Dic11—21no—
756C2×Dic11—21no—
757C2×Dic11—21no—
758C2×Dic11—21no—
759C2×Dic11—21no—
760C2×Dic11—21no—
761C2×Dic11—21no—
762C2×Dic11—21no—
763C2×Dic11—21no—
764C2×Dic11—21no—
765C2×Dic11—21no—
766C2×Dic11—21no—
767C2×Dic11—21no—
768C2×Dic11—21no—
769C2×Dic11—21no—
770C2×Dic11—21no—
771C2×Dic11—21no—
772C2×Dic11—21no—
773C2×Dic11—21no—
774C2×Dic11—21no—
775C2×Dic11—21no—
776C2×Dic11—21no—
777C2×Dic11—21no—
778C2×Dic11—21no—
779C2×Dic11—21no—
780C2×Dic11—21no—
781C2×Dic11—21no—
782C2×Dic11—21no—
783C2×Dic11—21no—
784C2×Dic11—44no—
785C2×Dic11—44no—
786C2×Dic11—44no—
787C2×Dic11—44no—
788C2×Dic11—44no—
789C2×Dic11—44no—
790C2×Dic11—44no—
791C2×Dic11—44no—
792C2×Dic11—44no—
793C2×Dic11—44no—
794C2×Dic11—44no—
795C2×Dic11—82no—
796C2×Dic11—82no—
797C2×Dic11C22×D412yes—
798C2×Dic11C22×D412yes—
799C2×Dic11C22×D412yes—
800C2×Dic11C22×D412yes—
801C2×Dic11H(5,𝔽2)12yes—
802C4×D11—82no—
803Dic22—82no—
804C23×D4C2×D1111yescharacteristic
805C24×C4—111no—
806C24×C4—111no—
807#539—228no—
808C2×#126—111no—
809C2×#126—111no—
810C2×#125—111no—
811C2×#125—111no—
812C2×#123—111no—
813C2×#123—111no—
814C2×#123—111no—
815C2×#123—111no—
816C2×#123C2×D1111yescharacteristic
817C2×#123C2×D1111yescharacteristic
818C2×C22⋊Q8—111no—
819C2×C22⋊Q8—111no—
820C2×C22⋊Q8—111no—
821C2×C22⋊Q8—111no—
822C2×C22⋊Q8—111no—
823C2×#121—111no—
824C2×#121—111no—
825C2×#120—111no—
826C2×#120—111no—
827C2×C4×D4—111no—
828C2×C4×D4—111no—
829C2×C4×D4—111no—
830C2×C4×D4—111no—
831C2×C4×D4—111no—
832C2×C4×D4—111no—
833C2×C4×D4—111no—
834C2×C4×D4—111no—
835C2×C4×D4—111no—
836C2×C4×D4—111no—
837C2×C4×D4—111no—
838C2×C4×D4—228no—
839C22×C4⋊C4—111no—
840C22×C4⋊C4—111no—
841C22×C4⋊C4—111no—
842C22×C22⋊C4—111no—
843C22×C22⋊C4—111no—
844C22×C22⋊C4—111no—
845C22×C22⋊C4C2×D1111yescharacteristic
846C22×C42—111no—
847#400—111no—
848#399—111no—
849#399—111no—
850#399—111no—
851#398—111no—
852#398—111no—
853#398—111no—
854#398—111no—
855#397—111no—
856#397—111no—
857#397—111no—
858#397—111no—
859#397—111no—
860#397—111no—
861#396—111no—
862#396—111no—
863#396—111no—
864#396—111no—
865#395—111no—
866#394—111no—
867#394—111no—
868#394—111no—
869#394—111no—
870#394—111no—
871#394—111no—
872#394C2×D1111yescharacteristic
873#394C2×D1111yescharacteristic
874#394C2×D1111yescharacteristic
875#394C2×D1111yescharacteristic
876#393—111no—
877#392—111no—
878#392—111no—
879#389—111no—
880#389—111no—
881#389—111no—
882#389—111no—
883#388—111no—
884#388—111no—
885#388—111no—
886#388—111no—
887#388—111no—
888#388—111no—
889#388—111no—
890#388—111no—
891#387—111no—
892#387—111no—
893#387—111no—
894#387—111no—
895#387—111no—
896#387—111no—
897#387—111no—
898#387—111no—
899#387—111no—
900#387—111no—
901#386—111no—
902#386—111no—
903#386—111no—
904#386—111no—
905#386—111no—
906#386—111no—
907#386—111no—
908#386—111no—
909#386—111no—
910#386—111no—
911#386—111no—
912#386—111no—
913#386C2×D1111yescharacteristic
914#386C2×D1111yescharacteristic
915#385—111no—
916#385—111no—
917#385—111no—
918#385—111no—
919#385—111no—
920#385—111no—
921#385—111no—
922#385—111no—
923#385—111no—
924#385—111no—
925#385—111no—
926#385—111no—
927#385—111no—
928#385—111no—
929#385—111no—
930#385—111no—
931#385—111no—
932#385—111no—
933#385—111no—
934#385—111no—
935#385—111no—
936#385—111no—
937#385—111no—
938#385—111no—
939#385C2×D1111yescharacteristic
940#385C2×D1111yescharacteristic
941#383—111no—
942#382—111no—
943#381—111no—
944#381—111no—
945#381—111no—
946#380—111no—
947#380—111no—
948#380—111no—
949#380—111no—
950#380—111no—
951#380—111no—
952#379—111no—
953#379C2×D1111yescharacteristic
954#379C2×D1111yescharacteristic
955#379C2×D1111yescharacteristic
956C4×C22⋊C4—111no—
957C4×C22⋊C4—111no—
958C4×C22⋊C4—111no—
959C2×#95—111no—
960C2×#95—111no—
961C22×C11—22no—
962C22×C11—22no—
963C22×C11—22no—
964C22×C11—22no—
965C22×C11—22no—
966C22×C11—22no—
967C22×C11—22no—
968C22×C11—22no—
969C22×C11—22no—
970C22×C11—22no—
971C22×C11—22no—
972C22×C11—22no—
973C22×C11—22no—
974C22×C11—22no—
975C22×C11—22no—
976C22×C11—22no—
977C22×C11—22no—
978C22×C11—22no—
979C22×C11—22no—
980C22×C11—22no—
981C22×C11—22no—
982C22×C11—416no—
983C22×C11—416no—
984C22×C11—41no—
985C22×C11—41no—
986C22×C11—41no—
987C22×C11—41no—
988C22×C11—41no—
989C22×C11—41no—
990C22×C11—41no—
991C22×C11—41no—
992C22×C11—41no—
993C22×C11—41no—
994C22×C11—41no—
995C22×C11—41no—
996C22×C11#52514yes—
997C22×C11#53914yescomplemented
998C22×C11C23×D411yescharacteristic
999C22×C11C22×#4111yescharacteristic
1000C22×C11C22×#4111yescharacteristic
1001C22×C11C2×H(5,𝔽2)11yescharacteristic
1002C22×C11C2×H(5,𝔽2)11yescharacteristic
1003C22×C11C2×2−1+411yescharacteristic
1004C22×C11#58511yescharacteristic
1005C2×D11—41no—
1006C2×D11—41no—
1007C2×D11—41no—
1008C2×D11—41no—
1009C2×D11—41no—
1010C2×D11—41no—
1011C2×D11—41no—
1012C4×C11—22no—
1013C4×C11—22no—
1014C4×C11—41no—
1015C4×C11—41no—
1016C4×C11—41no—
1017C4×C11—41no—
1018C4×C11—41no—
1019C4×C11—41no—
1020C4×C11—41no—
1021C4×C11—41no—
1022Dic11—22no—
1023Dic11—22no—
1024Dic11—22no—
1025Dic11—22no—
1026Dic11—22no—
1027Dic11—41no—
1028Dic11—41no—
1029Dic11—41no—
1030Dic11—41no—
1031Dic11—41no—
1032Dic11—41no—
1033Dic11—41no—
1034Dic11—41no—
1035Dic11—41no—
1036Dic11—41no—
1037C25C22×D1111yescharacteristic
1038C25C22×D1111yescharacteristic
1039C22×Q8—111no—
1040C22×D4—24no—
1041C22×D4—24no—
1042C22×D4—24no—
1043C22×D4—111no—
1044C22×D4—111no—
1045C22×D4—111no—
1046C22×D4—111no—
1047C22×D4—111no—
1048C22×D4C22×D1111yescharacteristic
1049C22×D4C22×D1111yescharacteristic
1050C22×D4C22×D1111yescharacteristic
1051C22×D4C22×D1111yescharacteristic
1052C23×C4—111no—
1053C23×C4—111no—
1054C23×C4—111no—
1055C23×C4—111no—
1056C23×C4—111no—
1057C23×C4—111no—
1058C23×C4—111no—
1059C23×C4—111no—
1060C23×C4—111no—
1061C23×C4—111no—
1062C23×C4—111no—
1063C23×C4—111no—
1064C23×C4—111no—
1065C23×C4—111no—
1066C23×C4—111no—
1067C23×C4—224no—
1068C23×C4—224no—
1069C23×C4—442no—
1070C23×C4—442no—
1071C23×C4—442no—
1072C23×C4—442no—
1073C23×C4C22×D1111yescharacteristic
1074C23×C4C22×D1111yescharacteristic
1075C23×C4C22×D1111yescharacteristic
1076#126—224no—
1077#126—224no—
1078#125—224no—
1079#125—224no—
1080#123—24no—
1081#123—24no—
1082#123—224no—
1083#123—224no—
1084#123—224no—
1085#123—442no—
1086C22⋊Q8—224no—
1087C22⋊Q8—224no—
1088C22⋊Q8—224no—
1089C22⋊Q8—442no—
1090C22⋊Q8—442no—
1091#121—224no—
1092#121—224no—
1093#120—224no—
1094#120—442no—
1095C4×D4—118no—
1096C4×D4—224no—
1097C4×D4—224no—
1098C4×D4—224no—
1099C4×D4—224no—
1100C4×D4—224no—
1101C4×D4—224no—
1102C4×D4—224no—
1103C4×D4—224no—
1104C4×D4—442no—
1105C4×D4—442no—
1106C2×C4⋊C4—111no—
1107C2×C4⋊C4—111no—
1108C2×C4⋊C4—111no—
1109C2×C4⋊C4—111no—
1110C2×C4⋊C4—111no—
1111C2×C4⋊C4—111no—
1112C2×C4⋊C4—111no—
1113C2×C4⋊C4—111no—
1114C2×C4⋊C4—111no—
1115C2×C4⋊C4—111no—
1116C2×C4⋊C4—111no—
1117C2×C4⋊C4—111no—
1118C2×C4⋊C4—111no—
1119C2×C4⋊C4—111no—
1120C2×C4⋊C4—111no—
1121C2×C4⋊C4—111no—
1122C2×C4⋊C4—111no—
1123C2×C4⋊C4—111no—
1124C2×C4⋊C4—111no—
1125C2×C4⋊C4—111no—
1126C2×C4⋊C4—111no—
1127C2×C4⋊C4—111no—
1128C2×C4⋊C4—111no—
1129C2×C4⋊C4—111no—
1130C2×C4⋊C4—111no—
1131C2×C4⋊C4—111no—
1132C2×C4⋊C4—111no—
1133C2×C4⋊C4—111no—
1134C2×C4⋊C4—111no—
1135C2×C4⋊C4—111no—
1136C2×C4⋊C4—224no—
1137C2×C4⋊C4—224no—
1138C2×C4⋊C4—442no—
1139C2×C4⋊C4C22×D1111yescharacteristic
1140C2×C4⋊C4C22×D1111yescharacteristic
1141C2×C4⋊C4C22×D1111yescharacteristic
1142C2×C4⋊C4C22×D1111yescharacteristic
1143C2×C22⋊C4—24no—
1144C2×C22⋊C4—111no—
1145C2×C22⋊C4—111no—
1146C2×C22⋊C4—111no—
1147C2×C22⋊C4—111no—
1148C2×C22⋊C4—111no—
1149C2×C22⋊C4—111no—
1150C2×C22⋊C4—111no—
1151C2×C22⋊C4—111no—
1152C2×C22⋊C4—111no—
1153C2×C22⋊C4—111no—
1154C2×C22⋊C4—111no—
1155C2×C22⋊C4—111no—
1156C2×C22⋊C4—111no—
1157C2×C22⋊C4—111no—
1158C2×C22⋊C4—111no—
1159C2×C22⋊C4—111no—
1160C2×C22⋊C4—111no—
1161C2×C22⋊C4—111no—
1162C2×C22⋊C4—111no—
1163C2×C22⋊C4—111no—
1164C2×C22⋊C4—111no—
1165C2×C22⋊C4—111no—
1166C2×C22⋊C4—111no—
1167C2×C22⋊C4—111no—
1168C2×C22⋊C4—111no—
1169C2×C22⋊C4—111no—
1170C2×C22⋊C4—111no—
1171C2×C22⋊C4—111no—
1172C2×C22⋊C4—111no—
1173C2×C22⋊C4—111no—
1174C2×C22⋊C4—224no—
1175C2×C22⋊C4—224no—
1176C2×C22⋊C4—442no—
1177C2×C22⋊C4C22×D1111yescharacteristic
1178C2×C22⋊C4C22×D1111yescharacteristic
1179C2×C22⋊C4C22×D1111yescharacteristic
1180C2×C22⋊C4C22×D1111yescharacteristic
1181C2×C22⋊C4C22×D1111yescharacteristic
1182C2×C22⋊C4C22×D1111yescharacteristic
1183C2×C22⋊C4C22×D1111yescharacteristic
1184C2×C22⋊C4C22×D1111yescharacteristic
1185C2×C22⋊C4C22×D1111yescharacteristic
1186C2×C22⋊C4C22×D1111yescharacteristic
1187C2×C22⋊C4C22×D1111yescharacteristic
1188C2×C22⋊C4C22×D1111yescharacteristic
1189C2×C22⋊C4C22×D1111yescharacteristic
1190C2×C22⋊C4C22×D1111yescharacteristic
1191C2×C22⋊C4C22×D1111yescharacteristic
1192C2×C22⋊C4C22×D1111yescharacteristic
1193C2×C22⋊C4C22×D1111yescharacteristic
1194C2×C22⋊C4C22×D1111yescharacteristic
1195C2×C42—111no—
1196C2×C42—111no—
1197C2×C42—111no—
1198C2×C42—111no—
1199C2×C42—111no—
1200C2×C42—111no—
1201C2×C42—111no—
1202C2×C42—224no—
1203#95—111no—
1204#95—111no—
1205#95—111no—
1206#95—111no—
1207#95—111no—
1208#95—111no—
1209#95—111no—
1210#95—111no—
1211#95—111no—
1212#95—111no—
1213#95—111no—
1214#95—111no—
1215#95—111no—
1216#95—111no—
1217#95—111no—
1218#95—111no—
1219#95—111no—
1220#95—111no—
1221#95—111no—
1222#95—111no—
1223#95—111no—
1224#95—111no—
1225#95—111no—
1226#95—111no—
1227#95—111no—
1228#95—111no—
1229#95—111no—
1230#95—111no—
1231#95—111no—
1232#95—111no—
1233#95—111no—
1234#95—111no—
1235#95C22×D1111yescharacteristic
1236#95C22×D1111yescharacteristic
1237#95C22×D1111yescharacteristic
1238#95C22×D1111yescharacteristic
1239C2×C11—24no—
1240C2×C11—24no—
1241C2×C11—42no—
1242C2×C11—42no—
1243C2×C11—42no—
1244C2×C11C2×#52511yescharacteristic
1245C2×C11C2×#53911yescharacteristic
1246C2×C11#345911yescharacteristic
1247C2×C11#348411yescharacteristic
1248C2×C11#348911yescharacteristic
1249C2×C11#351311yescharacteristic
1250C2×C11#352011yescharacteristic
1251D11—81no—
1252C24—22no—
1253C24—22no—
1254C24—22no—
1255C24—22no—
1256C24—22no—
1257C24—22no—
1258C24—22no—
1259C24—22no—
1260C24—22no—
1261C24—41no—
1262C24—41no—
1263C24—41no—
1264C24—41no—
1265C24—111no—
1266C24#434114yes—
1267C24C23×D1111yescharacteristic
1268C24C23×D1111yescharacteristic
1269C24C23×D1111yescharacteristic
1270C24C23×D1111yescharacteristic
1271C24C23×D1111yescharacteristic
1272C2×Q8—222no—
1273C2×Q8—441no—
1274C2×Q8—441no—
1275C2×D4—232no—
1276C2×D4—22no—
1277C2×D4—22no—
1278C2×D4—22no—
1279C2×D4—22no—
1280C2×D4—22no—
1281C2×D4—22no—
1282C2×D4—22no—
1283C2×D4—22no—
1284C2×D4—22no—
1285C2×D4—22no—
1286C2×D4—222no—
1287C2×D4—222no—
1288C2×D4—222no—
1289C2×D4—222no—
1290C2×D4—222no—
1291C2×D4—222no—
1292C2×D4—222no—
1293C2×D4—222no—
1294C2×D4—222no—
1295C2×D4—441no—
1296C2×D4—441no—
1297C2×D4—441no—
1298C2×D4—441no—
1299C2×D4—441no—
1300C2×D4—441no—
1301C2×D4D4×D1114yes—
1302C2×D4#434114yes—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—41no—
1311C22×C4—41no—
1312C22×C4—111no—
1313C22×C4—111no—
1314C22×C4—111no—
1315C22×C4—111no—
1316C22×C4—111no—
1317C22×C4—114no—
1318C22×C4—114no—
1319C22×C4—111no—
1320C22×C4—111no—
1321C22×C4—111no—
1322C22×C4—111no—
1323C22×C4—111no—
1324C22×C4—111no—
1325C22×C4—111no—
1326C22×C4—111no—
1327C22×C4—111no—
1328C22×C4—111no—
1329C22×C4—222no—
1330C22×C4—222no—
1331C22×C4—222no—
1332C22×C4—222no—
1333C22×C4—222no—
1334C22×C4—222no—
1335C22×C4—222no—
1336C22×C4—222no—
1337C22×C4—222no—
1338C22×C4—222no—
1339C22×C4—222no—
1340C22×C4—222no—
1341C22×C4—222no—
1342C22×C4—222no—
1343C22×C4—222no—
1344C22×C4—222no—
1345C22×C4—222no—
1346C22×C4—222no—
1347C22×C4—222no—
1348C22×C4—222no—
1349C22×C4—222no—
1350C22×C4—222no—
1351C22×C4—441no—
1352C22×C4—441no—
1353C22×C4—441no—
1354C22×C4—441no—
1355C22×C4—441no—
1356C22×C4—441no—
1357C22×C4—441no—
1358C22×C4—441no—
1359C22×C4—441no—
1360C22×C4—441no—
1361C22×C4—441no—
1362C22×C4—441no—
1363C22×C4—441no—
1364C22×C4—441no—
1365C22×C4—441no—
1366C22×C4—441no—
1367C22×C4—441no—
1368C22×C4—441no—
1369C22×C4—441no—
1370C22×C4—441no—
1371C22×C4—441no—
1372C22×C4—4416no—
1373C22×C4—4416no—
1374C22×C4C23×D1111yescharacteristic
1375C22×C4C23×D1111yescharacteristic
1376C22×C4C23×D1111yescharacteristic
1377C22×C4C23×D1111yescharacteristic
1378C22×C4C23×D1111yescharacteristic
1379C22×C4C23×D1111yescharacteristic
1380C22×C4C23×D1111yescharacteristic
1381C22×C4C23×D1111yescharacteristic
1382C22×C4C23×D1111yescharacteristic
1383C22×C4C23×D1111yescharacteristic
1384C4⋊C4—22no—
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—22no—
1388C4⋊C4—114no—
1389C4⋊C4—222no—
1390C4⋊C4—222no—
1391C4⋊C4—222no—
1392C4⋊C4—222no—
1393C4⋊C4—222no—
1394C4⋊C4—222no—
1395C4⋊C4—222no—
1396C4⋊C4—222no—
1397C4⋊C4—222no—
1398C4⋊C4—222no—
1399C4⋊C4—222no—
1400C4⋊C4—222no—
1401C4⋊C4—222no—
1402C4⋊C4—222no—
1403C4⋊C4—222no—
1404C4⋊C4—222no—
1405C4⋊C4—222no—
1406C4⋊C4—222no—
1407C4⋊C4—441no—
1408C4⋊C4—441no—
1409C4⋊C4—441no—
1410C4⋊C4—441no—
1411C4⋊C4—441no—
1412C4⋊C4—441no—
1413C4⋊C4—441no—
1414C4⋊C4—441no—
1415C4⋊C4—441no—
1416C4⋊C4—441no—
1417C4⋊C4—441no—
1418C22⋊C4—22no—
1419C22⋊C4—22no—
1420C22⋊C4—22no—
1421C22⋊C4—22no—
1422C22⋊C4—22no—
1423C22⋊C4—22no—
1424C22⋊C4—22no—
1425C22⋊C4—22no—
1426C22⋊C4—22no—
1427C22⋊C4—22no—
1428C22⋊C4—22no—
1429C22⋊C4—22no—
1430C22⋊C4—41no—
1431C22⋊C4—41no—
1432C22⋊C4—41no—
1433C22⋊C4—41no—
1434C22⋊C4—41no—
1435C22⋊C4—41no—
1436C22⋊C4—114no—
1437C22⋊C4—114no—
1438C22⋊C4—222no—
1439C22⋊C4—222no—
1440C22⋊C4—222no—
1441C22⋊C4—222no—
1442C22⋊C4—222no—
1443C22⋊C4—222no—
1444C22⋊C4—222no—
1445C22⋊C4—222no—
1446C22⋊C4—222no—
1447C22⋊C4—222no—
1448C22⋊C4—222no—
1449C22⋊C4—222no—
1450C22⋊C4—222no—
1451C22⋊C4—222no—
1452C22⋊C4—222no—
1453C22⋊C4—222no—
1454C22⋊C4—222no—
1455C22⋊C4—222no—
1456C22⋊C4—222no—
1457C22⋊C4—441no—
1458C22⋊C4—441no—
1459C22⋊C4—441no—
1460C22⋊C4—441no—
1461C22⋊C4—441no—
1462C22⋊C4—441no—
1463C22⋊C4—441no—
1464C22⋊C4—441no—
1465C22⋊C4—441no—
1466C42—114no—
1467C42—222no—
1468C42—222no—
1469C42—222no—
1470C42—222no—
1471C42—441no—
1472C42—441no—
1473C11#3499111yescharacteristic, complemented, Sylow
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—28no—
1483C23—28no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—28no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—44no—
1504C23—44no—
1505C23—44no—
1506C23—44no—
1507C23—44no—
1508C23—44no—
1509C23—44no—
1510C23—44no—
1511C23—44no—
1512C23—44no—
1513C23—44no—
1514C23—221no—
1515C23—221no—
1516C23—221no—
1517C23—221no—
1518C23—221no—
1519C23—221no—
1520C23—221no—
1521C23C2×D4×D1112yes—
1522C23C2×D4×D1112yes—
1523C23C2×#434112yes—
1524C23C2×#434112yes—
1525C23C2×#434112yes—
1526C23C2×#434112yes—
1527C23C2×#434112yes—
1528C23#6704212yes—
1529C23#6704312yes—
1530C23C24×D1111yescharacteristic
1531Q8—882no—
1532D4—28no—
1533D4—28no—
1534D4—28no—
1535D4—28no—
1536D4—444no—
1537D4—444no—
1538D4—444no—
1539D4—882no—
1540D4—882no—
1541C2×C4—28no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—44no—
1571C2×C4—44no—
1572C2×C4—112no—
1573C2×C4—112no—
1574C2×C4—112no—
1575C2×C4—112no—
1576C2×C4—112no—
1577C2×C4—228no—
1578C2×C4—221no—
1579C2×C4—221no—
1580C2×C4—221no—
1581C2×C4—221no—
1582C2×C4—221no—
1583C2×C4—221no—
1584C2×C4—221no—
1585C2×C4—221no—
1586C2×C4—221no—
1587C2×C4—221no—
1588C2×C4—221no—
1589C2×C4—221no—
1590C2×C4—221no—
1591C2×C4—221no—
1592C2×C4—221no—
1593C2×C4—221no—
1594C2×C4—221no—
1595C2×C4—221no—
1596C2×C4—221no—
1597C2×C4—221no—
1598C2×C4—221no—
1599C2×C4—221no—
1600C2×C4—221no—
1601C2×C4—221no—
1602C2×C4—221no—
1603C2×C4—221no—
1604C2×C4—221no—
1605C2×C4—221no—
1606C2×C4—221no—
1607C2×C4—221no—
1608C2×C4—221no—
1609C2×C4—221no—
1610C2×C4—221no—
1611C2×C4—221no—
1612C2×C4—221no—
1613C2×C4—221no—
1614C2×C4—221no—
1615C2×C4—221no—
1616C2×C4—221no—
1617C2×C4—221no—
1618C2×C4—444no—
1619C2×C4—444no—
1620C2×C4—444no—
1621C2×C4—444no—
1622C2×C4—444no—
1623C2×C4—444no—
1624C2×C4—444no—
1625C2×C4—444no—
1626C2×C4—444no—
1627C2×C4—444no—
1628C2×C4—444no—
1629C2×C4—882no—
1630C2×C4—882no—
1631C2×C4—882no—
1632C2×C4C2×D4×D1112yes—
1633C2×C4C2×#434112yes—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—22no—
1644C22—22no—
1645C22—22no—
1646C22—22no—
1647C22—22no—
1648C22—22no—
1649C22—22no—
1650C22—22no—
1651C22—22no—
1652C22—22no—
1653C22—22no—
1654C22—22no—
1655C22—416no—
1656C22—416no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—441no—
1670C22—441no—
1671C22—441no—
1672C22—441no—
1673C22—441no—
1674C22—441no—
1675C22—441no—
1676C22#1062311714yes—
1677C22#1062319614yescomplemented
1678C22C22×D4×D1111yescharacteristic
1679C22C22×#434111yescharacteristic
1680C22C22×#434111yescharacteristic
1681C22C2×#6704211yescharacteristic
1682C22C2×#6704311yescharacteristic
1683C22D11×H(5,𝔽2)11yescharacteristic
1684C22#1062345511yescharacteristic
1685C4—22no—
1686C4—22no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—222no—
1696C4—222no—
1697C4—222no—
1698C4—222no—
1699C4—222no—
1700C4—441no—
1701C4—441no—
1702C4—441no—
1703C4—441no—
1704C4—441no—
1705C4—441no—
1706C4—441no—
1707C4—441no—
1708C4—441no—
1709C4—441no—
1710C2—24no—
1711C2—24no—
1712C2—42no—
1713C2—42no—
1714C2—42no—
1715C2—881no—
1716C2C2×#1062311711yescharacteristic
1717C2C2×#1062319611yescharacteristic
1718C2#1308202211yescharacteristic
1719C2#1308224611yescharacteristic
1720C2#1308228711yescharacteristic
1721C2#1308255711yescharacteristic
1722C2#1308265211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2405C2
prime radical#13071990C2
hypercenter#2405D11
hypocenterC11#34991
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2405

Complements

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

NH ≅ G/Ntype
1. C2×#10623196C2semidirect
2. C22×D4×Dic11C2semidirect
3. #13076933C2semidirect
4. #13076922C2semidirect
5. #13076910C2semidirect
6. #13076901C2semidirect
7. #13074532C2semidirect
8. #13074512C2semidirect
9. #13074483C2semidirect
10. #13074454C2semidirect
11. #13072861C2semidirect
12. #13072756C2semidirect
13. #13072647C2semidirect
14. #13072608C2semidirect
15. #13072563C2semidirect
16. #13072494C2semidirect
17. #13072431C2semidirect
18. #13072423C2semidirect
19. #13072349C2semidirect
20. #13072282C2semidirect
21. #13072171C2semidirect
22. #13072089C2semidirect
23. #13072082C2semidirect
24. #13072012C2semidirect
26. #13071317C2semidirect
27. #13071288C2semidirect
28. #13071242C2semidirect
29. #13071115C2semidirect
30. C2×#10622563C2semidirect
31. C11×#2405C2semidirect
54. C2×#66982C22semidirect
56. C22×C4⋊Dic11C22semidirect
57. C22×C4⋊Dic11C22semidirect
60. C2×#66951C22semidirect
61. C2×#66950C22semidirect
62. C2×#66943C22semidirect
63. C2×#66942C22semidirect
64. C2×#66939C22semidirect
65. C2×#66939C22semidirect
66. C2×#66936C22semidirect
68. C2×(C22⋊D11)⋊C4C22semidirect
69. C2×(C22⋊D11)⋊C4C22semidirect
70. C2×#66932C22semidirect
72. C2×#66931C22semidirect
73. C2×#66931C22semidirect
74. C2×#66931C22semidirect
94. #10622826C22semidirect
95. #10622824C22semidirect
97. #10622823C22semidirect
98. C2×C11⋊#95C22semidirect
99. C2×C11⋊#95C22semidirect
100. #10622607C22semidirect
101. #10622603C22semidirect
102. #10622599C22semidirect
103. #10622598C22semidirect
104. #10622598C22semidirect
105. #10622597C22semidirect
106. #10622596C22semidirect
107. #10622594C22semidirect
108. #10622594C22semidirect
109. #10622591C22semidirect
110. #10622591C22semidirect
111. #10622585C22semidirect
112. #10622574C22semidirect
113. #10622572C22semidirect
114. #10622572C22semidirect
115. #10622572C22semidirect
119. #10622571C22semidirect
120. #10622571C22semidirect
121. #10622571C22semidirect
122. #10622571C22semidirect
123. #10622569C22semidirect
124. #10622566C22semidirect
125. #10622565C22semidirect
126. #10622565C22semidirect
127. #10622565C22semidirect
128. #10622565C22semidirect
129. #10622565C22semidirect
130. #10622564C22semidirect
131. #10622564C22semidirect
137. #10622563C22semidirect
138. #10622563C22semidirect
139. #10622563C22semidirect
140. #10622563C22semidirect
141. #10622563C22semidirect
142. #10622563C22semidirect
143. #10622563C22semidirect
144. #10622563C22semidirect
145. #10622563C22semidirect
146. #10622562C22semidirect
147. #10622562C22semidirect
148. #10622561C22semidirect
149. #10622561C22semidirect
150. #10622561C22semidirect
151. #10622560C22semidirect
154. #10622559C22semidirect
155. #10622559C22semidirect
156. #10622559C22semidirect
157. #10622559C22semidirect
158. #10622559C22semidirect
159. #10622558C22semidirect
160. #10622558C22semidirect
161. #10622557C22semidirect
162. #10622556C22semidirect
163. #10622556C22semidirect
167. #10622555C22semidirect
168. #10622555C22semidirect
169. #10622555C22semidirect
171. C22⋊C4×Dic11C22semidirect
172. C22⋊C4×Dic11C22semidirect
173. #10622290C22semidirect
174. #10622283C22semidirect
175. #10622282C22semidirect
176. #10622281C22semidirect
177. #10622274C22semidirect
178. #10622274C22semidirect
179. #10622269C22semidirect
180. #10622268C22semidirect
181. #10622267C22semidirect
182. #10622267C22semidirect
183. #10622266C22semidirect
184. #10622266C22semidirect
185. #10622265C22semidirect
186. #10622264C22semidirect
187. #10622263C22semidirect
188. #10622260C22semidirect
288. D4×Dic11D4semidirect
638. #2405D11semidirect
997. C22×C11#539semidirect
1473. C11#34991semidirect
1677. C22#10623196semidirect

Maximal subgroups

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

subgroupindex
C2×#106231962
C22×D4×Dic112
#130769332
#130769222
#130769102
#130769012
#130745322
#130745122
#130744832
#130744542
#130728612
#130727562
#130726472
#130726082
#130725632
#130724942
#130724312
#130724232
#130723492
#130722822
#130721712
#130720892
#130720822
#130720122
#130719902
#130713172
#130712882
#130712422
#130711152
C2×#106225632
C11×#24052
#3499111