Finite Group Databasebeta

← #14926728

Subgroups — #14926728

Order 2816.

2756 conjugacy classes of subgroups.

The subgroup lattice has 1844 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623175C211yesmaximal, characteristic, complemented
2C2×#10623124C211yesmaximal, characteristic, complemented
3#13076982C211yesmaximal, characteristic, complemented
4#13076971C211yesmaximal, characteristic, complemented
5#13076960C211yesmaximal, characteristic, complemented
6#13076943C211yesmaximal, characteristic, complemented
7#13074762C211yesmaximal, characteristic, complemented
8#13074761C211yesmaximal, characteristic, complemented
9#13074751C211yesmaximal, characteristic, complemented
10#13074750C211yesmaximal, characteristic, complemented
11#13073692C211yesmaximal, characteristic, complemented
12#13073687C211yesmaximal, characteristic, complemented
13#13073683C211yesmaximal, characteristic, complemented
14#13073681C211yesmaximal, characteristic, complemented
15#13073197C211yesmaximal, characteristic, complemented
16#13072974C211yesmaximal, characteristic, complemented
17#13072742C211yesmaximal, characteristic, complemented
18#13072376C211yesmaximal, characteristic, complemented
19#13072315C211yesmaximal, characteristic, complemented
20#13072251C211yesmaximal, characteristic, complemented
21#13072199C211yesmaximal, characteristic, complemented
22#13072154C211yesmaximal, characteristic, complemented
23#13072152C211yesmaximal, characteristic, complemented
24#13072055C211yesmaximal, characteristic, complemented
25#13071971C211yesmaximal, characteristic, complemented
26#13071279C211yesmaximal, characteristic, complemented
27#13071271C211yesmaximal, characteristic, complemented
28#13071126C211yesmaximal, characteristic, complemented
29C2×#10622570C211yesmaximal, characteristic, complemented
30C4×(C22⋊D11)⋊C4C211yesmaximal, characteristic, complemented
31C11×#2472C211yesmaximal, characteristic, complemented
32C23×C22⋊D11C2211yescharacteristic
33C2×C11×#124C2211yescharacteristic, complemented
34C2×C11×C22⋊Q8C2211yescharacteristic
35C2×C11×#120C2211yescharacteristic
36C22×C11×C22⋊C4C2211yescharacteristic
37C2×#67006C2211yescharacteristic
38C2×#67006C2211yescharacteristic
39C22×C22⋊Dic11C2211yescharacteristic
40C2×#67000C2211yescharacteristic, complemented
41C2×#67000C2211yescharacteristic, complemented
42C2×#66997C2211yescharacteristic, complemented
43C2×#66993C2211yescharacteristic
44C2×#66993C2211yescharacteristic
45C2×#66992C2211yescharacteristic
46C2×#66992C2211yescharacteristic
47C2×#66992C2211yescharacteristic, complemented
48C2×#66991C2211yescharacteristic, complemented
49C2×#66990C2211yescharacteristic
50C2×#66989C2211yescharacteristic, complemented
51C2×#66988C2211yescharacteristic, complemented
52C2×D4×Dic11C2211yescharacteristic
53C2×#66983C2211yescharacteristic
54C2×C4×C22⋊D11C2211yescharacteristic
55C22×(C2×D11)⋊C4C2211yescharacteristic
56C22×(C2×D11)⋊C4C2211yescharacteristic
57C22×Dic11⋊C4C2211yescharacteristic
58C22×C4×Dic11C2211yescharacteristic
59#10623175—28no—
60#10623124—28no—
61C2×#66951C2211yescharacteristic, complemented
62C2×#66951C2211yescharacteristic, complemented
63C2×#66948C2211yescharacteristic, complemented
64C2×#66948C2211yescharacteristic, complemented
65C2×#66947C2211yescharacteristic, complemented
66C2×#66947C2211yescharacteristic, complemented
67C2×#66938C2211yescharacteristic, complemented
68C2×#66937C2211yescharacteristic
69C2×#66937C2211yescharacteristic
70C2×#66937C2211yescharacteristic, complemented
71C2×#66937C2211yescharacteristic, complemented
72C2×#66937C2211yescharacteristic, complemented
73C2×#66936C2211yescharacteristic, complemented
74C2×#66935C2211yescharacteristic
75C2×#66935C2211yescharacteristic
76C2×(C22⋊D11)⋊C4C2211yescharacteristic
77C2×(C22⋊D11)⋊C4C2211yescharacteristic
78C2×(C22⋊D11)⋊C4C2211yescharacteristic
79C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
80C2×#66932C2211yescharacteristic, complemented
81C2×#66932C2211yescharacteristic, complemented
82C2×#66931C2211yescharacteristic
83C2×#66928C2211yescharacteristic, complemented
84C2×C42×D11C2211yescharacteristic, complemented
85C11×#397C2211yescharacteristic, complemented
86C11×#394C2211yescharacteristic, complemented
87C11×#394C2211yescharacteristic, complemented
88C11×#393C2211yescharacteristic, complemented
89C11×#390C2211yescharacteristic, complemented
90C11×#388C2211yescharacteristic, complemented
91C11×#388C2211yescharacteristic, complemented
92C11×#386C2211yescharacteristic
93C11×#386C2211yescharacteristic
94C11×#379C2211yescharacteristic
95C4×C11×C22⋊C4C2211yescharacteristic
96#10622842C2211yescharacteristic, complemented
97#10622836C2211yescharacteristic
98#10622836C2211yescharacteristic
99#10622826C2211yescharacteristic
100#10622823C2211yescharacteristic
101#10622596C2211yescharacteristic, complemented
102#10622593C2211yescharacteristic, complemented
103#10622592C2211yescharacteristic, complemented
104#10622589C2211yescharacteristic, complemented
105#10622585C2211yescharacteristic, complemented
106#10622585C2211yescharacteristic, complemented
107#10622573C2211yescharacteristic
108#10622573C2211yescharacteristic
109#10622573C2211yescharacteristic
110#10622573C2211yescharacteristic
111#10622573C2211yescharacteristic, complemented
112#10622573C2211yescharacteristic, complemented
113#10622572C2211yescharacteristic
114#10622572C2211yescharacteristic
115#10622572C2211yescharacteristic, complemented
116#10622572C2211yescharacteristic, complemented
117#10622572C2211yescharacteristic, complemented
118#10622572C2211yescharacteristic, complemented
119#10622571C2211yescharacteristic
120#10622571C2211yescharacteristic, complemented
121#10622571C2211yescharacteristic, complemented
122#10622570C2211yescharacteristic
123#10622570C2211yescharacteristic
124#10622570C2211yescharacteristic
125#10622570C2211yescharacteristic
126#10622570C2211yescharacteristic
127#10622570C2211yescharacteristic
128#10622570C2211yescharacteristic
129#10622570C2211yescharacteristic
130#10622570C2211yescharacteristic
131#10622570C2211yescharacteristic
132#10622570C2211yescharacteristic
133#10622570C2211yescharacteristic
134#10622570C2211yescharacteristic, complemented
135#10622570C2211yescharacteristic, complemented
136#10622570C2211yescharacteristic, complemented
137#10622570C2211yescharacteristic, complemented
138#10622570C2211yescharacteristic, complemented
139#10622570C2211yescharacteristic, complemented
140#10622570C2211yescharacteristic, complemented
141#10622570C2211yescharacteristic, complemented
142#10622569C2211yescharacteristic, complemented
143#10622569C2211yescharacteristic, complemented
144#10622569C2211yescharacteristic, complemented
145#10622568C2211yescharacteristic
146#10622564C2211yescharacteristic, complemented
147#10622561C2211yescharacteristic, complemented
148#10622561C2211yescharacteristic, complemented
149#10622559C2211yescharacteristic
150#10622558C2211yescharacteristic, complemented
151#10622558C2211yescharacteristic, complemented
152#10622557C2211yescharacteristic, complemented
153#10622557C2211yescharacteristic, complemented
154#10622557C2211yescharacteristic, complemented
155#10622555C2211yescharacteristic
156C22⋊C4×Dic11C2211yescharacteristic
157C22⋊C4×Dic11C2211yescharacteristic
158C22⋊C4×Dic11C2211yescharacteristic, complemented
159#10622553C2211yescharacteristic, complemented
160#10622553C2211yescharacteristic, complemented
161#10622552C2211yescharacteristic, complemented
162C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
163C4×Dic11⋊C4C2211yescharacteristic, complemented
164C42×Dic11C2211yescharacteristic, complemented
165#10622289C2211yescharacteristic, complemented
166#10622289C2211yescharacteristic, complemented
167#10622287C2211yescharacteristic, complemented
168#10622286C2211yescharacteristic, complemented
169#10622285C2211yescharacteristic, complemented
170#10622285C2211yescharacteristic, complemented
171#10622285C2211yescharacteristic, complemented
172#10622285C2211yescharacteristic, complemented
173#10622283C2211yescharacteristic, complemented
174#10622283C2211yescharacteristic, complemented
175#10622283C2211yescharacteristic, complemented
176#10622282C2211yescharacteristic, complemented
177#10622282C2211yescharacteristic, complemented
178#10622282C2211yescharacteristic, complemented
179#10622280C2211yescharacteristic, complemented
180#10622279C2211yescharacteristic, complemented
181#10622279C2211yescharacteristic, complemented
182#10622279C2211yescharacteristic, complemented
183#10622278C2211yescharacteristic, complemented
184#10622262C2211yescharacteristic, complemented
185#10622262C2211yescharacteristic, complemented
186#10622262C2211yescharacteristic, complemented
187#10622260C2211yescharacteristic, complemented
188#10622260C2211yescharacteristic, complemented
189C25×C11C2311yescharacteristic
190C24×D11C2311yescharacteristic
191C22×Q8×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C22×D4×C11C2311yescharacteristic
195C23×C4×C11C2311yescharacteristic
196C23×C4×C11C2311yescharacteristic
197C22×C22⋊D11—24no—
198C22×C22⋊D11—42no—
199C22×C22⋊D11—42no—
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
212C22×C22⋊D11C2311yescharacteristic
213C22×C22⋊D11C2311yescharacteristic
214C23×Dic11C2311yescharacteristic
215C23×Dic11C2311yescharacteristic
216C23×Dic11C2311yescharacteristic
217C23×Dic11C2311yescharacteristic
218C22×D44C2311yescharacteristic
219C22×D44C2311yescharacteristic
220C22×D44C2311yescharacteristic
221C22×D44C2311yescharacteristic
222C22×D44C2311yescharacteristic
223C22×C4×D11C2311yescharacteristic
224C22×C4×D11C2311yescharacteristic
225C22×C4×D11C2311yescharacteristic
226C22×C4×D11C2311yescharacteristic
227C22×Dic22C2311yescharacteristic
228C11×#124—42no—
229C11×C22⋊Q8—24no—
230C11×#120—24no—
231C2×C11×C4⋊C4C2311yescharacteristic
232C2×C11×C4⋊C4C2311yescharacteristic
233C2×C11×C4⋊C4C2311yescharacteristic
234C2×C11×C22⋊C4—42no—
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×C42×C11C2311yescharacteristic
253C2×C42×C11C2311yescharacteristic
254#67006—24no—
255#67006—24no—
256C2×C22⋊Dic11—24no—
257C2×C22⋊Dic11C2311yescharacteristic
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
270#67000—24no—
271#67000—24no—
272#66997—42no—
273#66993—42no—
274#66993—42no—
275#66992—24no—
276#66992—24no—
277#66992—24no—
278#66991—24no—
279#66990—24no—
280#66989—24no—
281#66988—24no—
282D4×Dic11—24no—
283#66983—24no—
284C4×C22⋊D11—24no—
285C2×(C2×D11)⋊C4—24no—
286C2×(C2×D11)⋊C4—42no—
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×(C2×D11)⋊C4C2311yescharacteristic
315C2×(C2×D11)⋊C4C2311yescharacteristic
316C2×(C2×D11)⋊C4C2311yescharacteristic
317C2×C4⋊Dic11C2311yescharacteristic
318C2×C4⋊Dic11C2311yescharacteristic
319C2×C4⋊Dic11C2311yescharacteristic
320C2×Dic11⋊C4—42no—
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×Dic11⋊C4C2311yescharacteristic
333C2×Dic11⋊C4C2311yescharacteristic
334C2×Dic11⋊C4C2311yescharacteristic
335C2×Dic11⋊C4C2311yescharacteristic
336C2×Dic11⋊C4C2311yescharacteristic
337C2×Dic11⋊C4C2311yescharacteristic
338C2×Dic11⋊C4C2311yescharacteristic
339C2×C4×Dic11—42no—
340C2×C4×Dic11C2311yescharacteristic
341C2×C4×Dic11C2311yescharacteristic
342C2×C4×Dic11C2311yescharacteristic
343C2×C4×Dic11C2311yescharacteristic
344C2×C4×Dic11C2311yescharacteristic
345C2×C4×Dic11C2311yescharacteristic
346C2×C4×Dic11C2311yescharacteristic
347C2×C4×Dic11C2311yescharacteristic
348C2×C4×Dic11C2311yescharacteristic
349C2×C4×Dic11C2311yescharacteristic
350C2×C4×Dic11C2311yescharacteristic
351C2×C4×Dic11C2311yescharacteristic
352C2×C4×Dic11C2311yescharacteristic
353#66951—24no—
354#66951—24no—
355#66948—24no—
356#66948—24no—
357#66947—24no—
358#66947—24no—
359#66938—24no—
360#66937—42no—
361#66937—42no—
362#66937—42no—
363#66937—42no—
364#66937—42no—
365#66936—24no—
366#66935—24no—
367#66935—24no—
368(C22⋊D11)⋊C4—24no—
369(C22⋊D11)⋊C4—24no—
370(C22⋊D11)⋊C4—42no—
371(C22⋊D11)⋊C4D418yescomplemented
372#66932—24no—
373#66932—24no—
374#66931—24no—
375#66928—42no—
376C42×D11—42no—
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
391C11⋊#95C2311yescharacteristic
392C11⋊#95C2311yescharacteristic
393C11⋊#95C2311yescharacteristic
394C11⋊#95C2311yescharacteristic
395C11⋊#95C2311yescharacteristic
396C11⋊#95C2311yescharacteristic
397#35007—111nomaximal, Sylow
398C24×C11—22no—
399C24×C11—22no—
400C24×C11—22no—
401C24×C11—41no—
402C24×C11—41no—
403C24×C11—41no—
404C24×C11—41no—
405C24×C11C2411yescharacteristic
406C24×C11C2411yescharacteristic
407C24×C11C2411yescharacteristic
408C24×C11C2411yescharacteristic
409C23×D11—22no—
410C23×D11—22no—
411C23×D11—22no—
412C23×D11—41no—
413C23×D11—41no—
414C23×D11—41no—
415C23×D11—41no—
416C23×D11C2411yescharacteristic
417C23×D11C2411yescharacteristic
418C23×D11C2411yescharacteristic
419C23×D11C2411yescharacteristic
420C2×Q8×C11—22no—
421C2×Q8×C11—41no—
422C2×Q8×C11—41no—
423C2×D4×C11—22no—
424C2×D4×C11—22no—
425C2×D4×C11—22no—
426C2×D4×C11—22no—
427C2×D4×C11—22no—
428C2×D4×C11—41no—
429C2×D4×C11—41no—
430C2×D4×C11—41no—
431C2×D4×C11—41no—
432C22×C4×C11—22no—
433C22×C4×C11—22no—
434C22×C4×C11—22no—
435C22×C4×C11—41no—
436C22×C4×C11—41no—
437C22×C4×C11—41no—
438C22×C4×C11C2411yescharacteristic
439C22×C4×C11C2411yescharacteristic
440C22×C4×C11C2411yescharacteristic
441C22×C4×C11C2411yescharacteristic
442C22×C4×C11C2411yescharacteristic
443C22×C4×C11C2411yescharacteristic
444C22×C4×C11C2411yescharacteristic
445C22×C4×C11C2411yescharacteristic
446C22×C4×C11C2411yescharacteristic
447C22×C4×C11C2411yescharacteristic
448C22×C4×C11C2411yescharacteristic
449C2×C22⋊D11—22no—
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—22no—
464C2×C22⋊D11—22no—
465C2×C22⋊D11—22no—
466C2×C22⋊D11—22no—
467C2×C22⋊D11—22no—
468C2×C22⋊D11—22no—
469C2×C22⋊D11—22no—
470C2×C22⋊D11—22no—
471C2×C22⋊D11—22no—
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—
486C2×C22⋊D11—41no—
487C2×C22⋊D11—41no—
488C2×C22⋊D11—41no—
489C2×C22⋊D11—41no—
490C2×C22⋊D11—416no—
491C2×C22⋊D11C2×D414yes—
492C22×Dic11—22no—
493C22×Dic11—22no—
494C22×Dic11—22no—
495C22×Dic11—22no—
496C22×Dic11—41no—
497C22×Dic11—41no—
498C22×Dic11—41no—
499C22×Dic11—41no—
500C22×Dic11—41no—
501C22×Dic11—41no—
502C22×Dic11C2×D414yes—
503C22×Dic11#4114yes—
504C22×Dic11C2411yescharacteristic
505C22×Dic11C2411yescharacteristic
506C22×Dic11C2411yescharacteristic
507C22×Dic11C2411yescharacteristic
508C22×Dic11C2411yescharacteristic
509C22×Dic11C2411yescharacteristic
510C22×Dic11C2411yescharacteristic
511C22×Dic11C2411yescharacteristic
512C22×Dic11C2411yescharacteristic
513C22×Dic11C2411yescharacteristic
514C22×Dic11C2411yescharacteristic
515C22×Dic11C2411yescharacteristic
516C2×D44—22no—
517C2×D44—22no—
518C2×D44—22no—
519C2×D44—22no—
520C2×D44—22no—
521C2×D44—41no—
522C2×D44—41no—
523C2×D44—41no—
524C2×D44—41no—
525C2×D44—41no—
526C2×D44—41no—
527C2×D44—41no—
528C2×D44—41no—
529C2×D44—41no—
530C2×D44—41no—
531C2×C4×D11—22no—
532C2×C4×D11—22no—
533C2×C4×D11—22no—
534C2×C4×D11—22no—
535C2×C4×D11—22no—
536C2×C4×D11—22no—
537C2×C4×D11—41no—
538C2×C4×D11—41no—
539C2×C4×D11—41no—
540C2×C4×D11—41no—
541C2×C4×D11—41no—
542C2×C4×D11C2×D414yescomplemented
543C2×Dic22—22no—
544C2×Dic22—41no—
545C2×Dic22—41no—
546C11×C4⋊C4—22no—
547C11×C4⋊C4—22no—
548C11×C4⋊C4—22no—
549C11×C22⋊C4—22no—
550C11×C22⋊C4—22no—
551C11×C22⋊C4—22no—
552C11×C22⋊C4—22no—
553C11×C22⋊C4—22no—
554C11×C22⋊C4—22no—
555C11×C22⋊C4—22no—
556C11×C22⋊C4—41no—
557C11×C22⋊C4—41no—
558C11×C22⋊C4—41no—
559C11×C22⋊C4—41no—
560C11×C22⋊C4—41no—
561C11×C22⋊C4—41no—
562C11×C22⋊C4—41no—
563C11×C22⋊C4—41no—
564C11×C22⋊C4—41no—
565C11×C22⋊C4C2×D414yes—
566C42×C11—22no—
567C42×C11—41no—
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—22no—
578C22⋊Dic11—22no—
579C22⋊Dic11—22no—
580C22⋊Dic11#4114yes—
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—22no—
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—22no—
597(C2×D11)⋊C4—22no—
598(C2×D11)⋊C4—22no—
599(C2×D11)⋊C4—22no—
600(C2×D11)⋊C4—22no—
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)⋊C4C2×D414yescomplemented
611C4⋊Dic11—22no—
612C4⋊Dic11—22no—
613C4⋊Dic11—22no—
614Dic11⋊C4—22no—
615Dic11⋊C4—22no—
616Dic11⋊C4—22no—
617Dic11⋊C4—22no—
618Dic11⋊C4—22no—
619Dic11⋊C4—22no—
620Dic11⋊C4—22no—
621Dic11⋊C4—22no—
622Dic11⋊C4—22no—
623Dic11⋊C4—22no—
624Dic11⋊C4—22no—
625Dic11⋊C4—41no—
626Dic11⋊C4—41no—
627Dic11⋊C4—41no—
628Dic11⋊C4—41no—
629Dic11⋊C4—41no—
630Dic11⋊C4—41no—
631Dic11⋊C4C2×D414yescomplemented
632C4×Dic11—22no—
633C4×Dic11—22no—
634C4×Dic11—22no—
635C4×Dic11—22no—
636C4×Dic11—22no—
637C4×Dic11—22no—
638C4×Dic11—22no—
639C4×Dic11—22no—
640C4×Dic11—41no—
641C4×Dic11—41no—
642C4×Dic11—41no—
643C4×Dic11—41no—
644C4×Dic11C2×D414yescomplemented
645C2×#538—111no—
646C2×#538—111no—
647#2860—111no—
648#2858—111no—
649#2856—111no—
650#2854—111no—
651#2662—111no—
652#2662—111no—
653#2661—111no—
654#2661—111no—
655#2555—111no—
656#2555—111no—
657#2554—111no—
658#2554—111no—
659#2512—111no—
660#2491—111no—
661#2472—111no—
662#2472D1111yescharacteristic, complemented
663#2445—111no—
664#2440—111no—
665#2433—111no—
666#2428—111no—
667#2424—111no—
668#2424—111no—
669#2416—111no—
670#2408—111no—
671#2321—111no—
672#2321—111no—
673C4×#121—111no—
674C2×#390—111no—
675C42×D4—111no—
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—82no—
705C23×C11—82no—
706C23×C11—82no—
707C23×C11—82no—
708C23×C11C22×D412yes—
709C23×C11C2×#4112yes—
710C23×C11C2×#4112yes—
711C23×C11C2511yescharacteristic
712C22×D11—21no—
713C22×D11—21no—
714C22×D11—21no—
715C22×D11—21no—
716C22×D11—21no—
717C22×D11—21no—
718C22×D11—21no—
719C22×D11—21no—
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—
734C22×D11—21no—
735C22×D11—21no—
736C22×D11—21no—
737C22×D11—21no—
738C22×D11—21no—
739C22×D11—44no—
740C22×D11—44no—
741C22×D11—44no—
742C22×D11—82no—
743C22×D11—82no—
744C22×D11—82no—
745C22×D11—82no—
746C22×D11C22×D412yes—
747Q8×C11—82no—
748D4×C11—44no—
749D4×C11—82no—
750D4×C11—82no—
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—21no—
770C2×C4×C11—21no—
771C2×C4×C11—21no—
772C2×C4×C11—21no—
773C2×C4×C11—21no—
774C2×C4×C11—21no—
775C2×C4×C11—21no—
776C2×C4×C11—21no—
777C2×C4×C11—21no—
778C2×C4×C11—21no—
779C2×C4×C11—21no—
780C2×C4×C11—21no—
781C2×C4×C11—44no—
782C2×C4×C11—82no—
783C2×C4×C11C22×D412yes—
784C2×C4×C11C22×D412yes—
785C2×C4×C11H(5,𝔽2)12yes—
786C22⋊D11—28no—
787C22⋊D11—44no—
788C22⋊D11—44no—
789C22⋊D11—44no—
790C22⋊D11—44no—
791C22⋊D11—44no—
792C22⋊D11—44no—
793C22⋊D11—82no—
794C22⋊D11—82no—
795C22⋊D11—82no—
796C22⋊D11—82no—
797C22⋊D11—82no—
798C22⋊D11—82no—
799C22⋊D11—82no—
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—28no—
813C2×Dic11—21no—
814C2×Dic11—21no—
815C2×Dic11—21no—
816C2×Dic11—21no—
817C2×Dic11—21no—
818C2×Dic11—21no—
819C2×Dic11—21no—
820C2×Dic11—21no—
821C2×Dic11—21no—
822C2×Dic11—21no—
823C2×Dic11—21no—
824C2×Dic11—21no—
825C2×Dic11—21no—
826C2×Dic11—21no—
827C2×Dic11—21no—
828C2×Dic11—44no—
829C2×Dic11—82no—
830C2×Dic11—82no—
831C2×Dic11C22×D412yes—
832C2×Dic11C22×D412yes—
833C2×Dic11C22×D412yes—
834C2×Dic11C2×#4112yes—
835C2×Dic11C2×#4112yes—
836C2×Dic11C2×#4112yes—
837C2×Dic11C2×#4112yes—
838C2×Dic11H(5,𝔽2)12yes—
839C2×Dic11H(5,𝔽2)12yes—
840D44—82no—
841D44—82no—
842D44—82no—
843D44—82no—
844D44—82no—
845C4×D11—44no—
846C4×D11—44no—
847C4×D11—44no—
848C4×D11—82no—
849Dic22—82no—
850C23×D4—111no—
851#538—228no—
852#538—228no—
853C2×C4⋊Q8—111no—
854C2×#127—111no—
855C2×#127—111no—
856C2×#126—111no—
857C2×#126—111no—
858C2×#126—111no—
859C2×#126—111no—
860C2×#124—111no—
861C2×#124—111no—
862C2×#124—111no—
863C2×#124—111no—
864C2×#124—111no—
865C2×#124C2×D1111yescharacteristic, complemented
866C2×#123—111no—
867C2×#123—111no—
868C2×#123—111no—
869C2×#123—111no—
870C2×C22⋊Q8—111no—
871C2×C22⋊Q8C2×D1111yescharacteristic
872C2×#121—111no—
873C2×#121—111no—
874C2×#121—111no—
875C2×#121—111no—
876C2×#121—111no—
877C2×#121—111no—
878C2×#121—111no—
879C2×#121—111no—
880C2×#121—111no—
881C2×#121—111no—
882C2×#121—111no—
883C2×#121—111no—
884C2×#120—111no—
885C2×#120—111no—
886C2×#120—111no—
887C2×#120—111no—
888C2×#120—111no—
889C2×#120C2×D1111yescharacteristic
890C2×C4×D4—111no—
891C2×C4×D4—111no—
892C2×C4×D4—111no—
893C2×C4×D4—111no—
894C2×C4×D4—111no—
895C2×C4×D4—111no—
896C22×C4⋊C4—111no—
897C22×C22⋊C4—111no—
898C22×C22⋊C4—111no—
899C22×C22⋊C4—111no—
900C22×C22⋊C4C2×D1111yescharacteristic
901C22×C42—111no—
902C22×C42—111no—
903#398—111no—
904#398—111no—
905#397—111no—
906#397C2×D1111yescharacteristic, complemented
907#396—111no—
908#396—111no—
909#396—111no—
910#396—111no—
911#395—111no—
912#395—111no—
913#394—111no—
914#394—111no—
915#394—111no—
916#394—111no—
917#394—111no—
918#394—111no—
919#394—111no—
920#394—111no—
921#394—111no—
922#394—111no—
923#394C2×D1111yescharacteristic, complemented
924#394C2×D1111yescharacteristic, complemented
925#393—111no—
926#393C2×D1111yescharacteristic, complemented
927#392—111no—
928#392—111no—
929#392—111no—
930#392—111no—
931#392—111no—
932#392—111no—
933#392—111no—
934#392—111no—
935#390—111no—
936#390—111no—
937#390—111no—
938#390—111no—
939#390—111no—
940#390—111no—
941#390—111no—
942#390—111no—
943#390—111no—
944#390—111no—
945#390—111no—
946#390—111no—
947#390—111no—
948#390—111no—
949#390—111no—
950#390—111no—
951#390—111no—
952#390—111no—
953#390—111no—
954#390—111no—
955#390—111no—
956#390C2×D1111yescharacteristic, complemented
957#389—111no—
958#389—111no—
959#389—111no—
960#389—111no—
961#388—111no—
962#388—111no—
963#388—111no—
964#388—111no—
965#388—111no—
966#388—111no—
967#388—111no—
968#388—111no—
969#388—111no—
970#388—111no—
971#388—111no—
972#388—111no—
973#388—111no—
974#388—111no—
975#388C2×D1111yescharacteristic, complemented
976#388C2×D1111yescharacteristic, complemented
977#386—111no—
978#386—111no—
979#386—111no—
980#386—111no—
981#386—111no—
982#386—111no—
983#386—111no—
984#386—111no—
985#386C2×D1111yescharacteristic
986#386C2×D1111yescharacteristic
987#385—111no—
988#385—111no—
989#384—111no—
990#380—111no—
991#380—111no—
992#379—111no—
993#379C2×D1111yescharacteristic
994C4×C4⋊C4—111no—
995C4×C4⋊C4—111no—
996C4×C4⋊C4—111no—
997C4×C4⋊C4—111no—
998C4×C22⋊C4—111no—
999C4×C22⋊C4—111no—
1000C4×C22⋊C4—111no—
1001C4×C22⋊C4—111no—
1002C4×C22⋊C4—111no—
1003C4×C22⋊C4—111no—
1004C4×C22⋊C4—111no—
1005C4×C22⋊C4C2×D1111yescharacteristic
1006C43—111no—
1007C22×C11—22no—
1008C22×C11—22no—
1009C22×C11—22no—
1010C22×C11—22no—
1011C22×C11—22no—
1012C22×C11—22no—
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—88no—
1035C22×C11#53214yes—
1036C22×C11C23×D411yescharacteristic
1037C22×C11C22×#4111yescharacteristic
1038C22×C11C22×#4111yescharacteristic
1039C22×C11C2×H(5,𝔽2)11yescharacteristic
1040C22×C11C2×H(5,𝔽2)11yescharacteristic
1041C22×C11C2×H(5,𝔽2)11yescharacteristic
1042C22×C11#58511yescharacteristic
1043C2×D11—22no—
1044C2×D11—22no—
1045C2×D11—22no—
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—
1059C2×D11—41no—
1060C2×D11—41no—
1061C2×D11—41no—
1062C2×D11—41no—
1063C2×D11—41no—
1064C2×D11—41no—
1065C2×D11—41no—
1066C2×D11—41no—
1067C2×D11—41no—
1068C2×D11—41no—
1069C2×D11—41no—
1070C2×D11—41no—
1071C2×D11—88no—
1072C4×C11—22no—
1073C4×C11—22no—
1074C4×C11—22no—
1075C4×C11—41no—
1076C4×C11—41no—
1077C4×C11—41no—
1078C4×C11—41no—
1079C4×C11—41no—
1080C4×C11—41no—
1081C4×C11—41no—
1082C4×C11—41no—
1083Dic11—22no—
1084Dic11—22no—
1085Dic11—22no—
1086Dic11—22no—
1087Dic11—22no—
1088Dic11—22no—
1089Dic11—41no—
1090Dic11—41no—
1091Dic11—41no—
1092Dic11—41no—
1093Dic11—41no—
1094Dic11#53814yescomplemented
1095C25—111no—
1096C25C22×D1111yescharacteristic
1097C22×Q8—111no—
1098C22×Q8C22×D1111yescharacteristic
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×D4—111no—
1111C22×D4—111no—
1112C22×D4—111no—
1113C22×D4—111no—
1114C22×D4—111no—
1115C22×D4—111no—
1116C22×D4—111no—
1117C22×D4—111no—
1118C22×D4—224no—
1119C22×D4—442no—
1120C22×D4—442no—
1121C22×D4C22×D1111yescharacteristic
1122C22×D4C22×D1111yescharacteristic
1123C22×D4C22×D1111yescharacteristic
1124C23×C4—111no—
1125C23×C4—111no—
1126C23×C4—111no—
1127C23×C4—111no—
1128C23×C4—111no—
1129C23×C4—111no—
1130C23×C4—111no—
1131C23×C4—111no—
1132C23×C4C22×D1111yescharacteristic
1133C23×C4C22×D1111yescharacteristic
1134C4⋊Q8—442no—
1135#127—442no—
1136#127—442no—
1137#126—224no—
1138#126—224no—
1139#126—224no—
1140#126—224no—
1141#124—42no—
1142#124—224no—
1143#124—224no—
1144#124—224no—
1145#124—224no—
1146#124—442no—
1147#123—224no—
1148#123—224no—
1149#123—224no—
1150#123—224no—
1151C22⋊Q8—24no—
1152C22⋊Q8—224no—
1153#121—224no—
1154#121—224no—
1155#121—224no—
1156#121—224no—
1157#121—224no—
1158#121—224no—
1159#121—224no—
1160#121—442no—
1161#121—442no—
1162#121—442no—
1163#121—442no—
1164#121—442no—
1165#120—24no—
1166#120—224no—
1167#120—224no—
1168#120—224no—
1169#120—224no—
1170#120—224no—
1171C4×D4—118no—
1172C4×D4—224no—
1173C4×D4—224no—
1174C4×D4—224no—
1175C4×D4—224no—
1176C4×D4—442no—
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⋊C4—111no—
1186C2×C4⋊C4—111no—
1187C2×C4⋊C4—111no—
1188C2×C4⋊C4—111no—
1189C2×C4⋊C4—111no—
1190C2×C4⋊C4—111no—
1191C2×C4⋊C4—111no—
1192C2×C4⋊C4—111no—
1193C2×C4⋊C4—111no—
1194C2×C4⋊C4—111no—
1195C2×C4⋊C4—111no—
1196C2×C4⋊C4—111no—
1197C2×C4⋊C4—111no—
1198C2×C4⋊C4—442no—
1199C2×C4⋊C4C22×D1111yescharacteristic
1200C2×C4⋊C4C22×D1111yescharacteristic
1201C2×C4⋊C4C22×D1111yescharacteristic
1202C2×C22⋊C4—42no—
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—111no—
1239C2×C22⋊C4—111no—
1240C2×C22⋊C4—111no—
1241C2×C22⋊C4—111no—
1242C2×C22⋊C4—111no—
1243C2×C22⋊C4—111no—
1244C2×C22⋊C4—111no—
1245C2×C22⋊C4—111no—
1246C2×C22⋊C4—224no—
1247C2×C22⋊C4—224no—
1248C2×C22⋊C4—442no—
1249C2×C22⋊C4C22×D1111yescharacteristic
1250C2×C22⋊C4C22×D1111yescharacteristic
1251C2×C22⋊C4C22×D1111yescharacteristic
1252C2×C22⋊C4C22×D1111yescharacteristic
1253C2×C22⋊C4C22×D1111yescharacteristic
1254C2×C22⋊C4C22×D1111yescharacteristic
1255C2×C22⋊C4C22×D1111yescharacteristic
1256C2×C22⋊C4C22×D1111yescharacteristic
1257C2×C22⋊C4C22×D1111yescharacteristic
1258C2×C22⋊C4C22×D1111yescharacteristic
1259C2×C22⋊C4C22×D1111yescharacteristic
1260C2×C22⋊C4C22×D1111yescharacteristic
1261C2×C22⋊C4C22×D1111yescharacteristic
1262C2×C22⋊C4C22×D1111yescharacteristic
1263C2×C22⋊C4C22×D1111yescharacteristic
1264C2×C22⋊C4C22×D1111yescharacteristic
1265C2×C22⋊C4C22×D1111yescharacteristic
1266C2×C42—111no—
1267C2×C42—111no—
1268C2×C42—111no—
1269C2×C42—111no—
1270C2×C42—111no—
1271C2×C42—111no—
1272C2×C42—111no—
1273C2×C42—111no—
1274C2×C42—111no—
1275C2×C42—111no—
1276C2×C42—111no—
1277C2×C42—111no—
1278C2×C42—111no—
1279C2×C42—442no—
1280C2×C42—442no—
1281C2×C42C22×D1111yescharacteristic
1282C2×C42C22×D1111yescharacteristic
1283#95—111no—
1284#95—111no—
1285#95—111no—
1286#95—111no—
1287#95—111no—
1288#95—111no—
1289#95—111no—
1290#95—111no—
1291#95—111no—
1292#95—111no—
1293#95—111no—
1294#95—111no—
1295#95—111no—
1296#95—111no—
1297#95C22×D1111yescharacteristic
1298#95C22×D1111yescharacteristic
1299#95C22×D1111yescharacteristic
1300#95C22×D1111yescharacteristic
1301#95C22×D1111yescharacteristic
1302#95C22×D1111yescharacteristic
1303C2×C11—24no—
1304C2×C11—81no—
1305C2×C11—81no—
1306C2×C11—81no—
1307C2×C11C2×#53211yescharacteristic
1308C2×C11C2×#53811yescharacteristic
1309C2×C11#346011yescharacteristic
1310C2×C11#349611yescharacteristic
1311C2×C11#349811yescharacteristic
1312C2×C11#351411yescharacteristic
1313C2×C11#351911yescharacteristic
1314D11—42no—
1315D11—81no—
1316D11—81no—
1317D11—81no—
1318C24—22no—
1319C24—22no—
1320C24—22no—
1321C24—41no—
1322C24—41no—
1323C24—41no—
1324C24—41no—
1325C24—111no—
1326C24—111no—
1327C24—111no—
1328C24—111no—
1329C24—222no—
1330C24—222no—
1331C24—222no—
1332C24—441no—
1333C24—441no—
1334C24—441no—
1335C24—441no—
1336C24C23×D1111yescharacteristic
1337C24C23×D1111yescharacteristic
1338C24C23×D1111yescharacteristic
1339C24C23×D1111yescharacteristic
1340C2×Q8—22no—
1341C2×Q8—41no—
1342C2×Q8—41no—
1343C2×Q8—222no—
1344C2×Q8—441no—
1345C2×Q8—441no—
1346C2×D4—22no—
1347C2×D4—22no—
1348C2×D4—22no—
1349C2×D4—22no—
1350C2×D4—22no—
1351C2×D4—41no—
1352C2×D4—41no—
1353C2×D4—41no—
1354C2×D4—41no—
1355C2×D4—114no—
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—222no—
1368C2×D4—222no—
1369C2×D4—222no—
1370C2×D4—222no—
1371C2×D4—222no—
1372C2×D4—222no—
1373C2×D4—222no—
1374C2×D4—222no—
1375C2×D4—222no—
1376C2×D4—222no—
1377C2×D4—222no—
1378C2×D4—222no—
1379C2×D4—222no—
1380C2×D4—222no—
1381C2×D4—222no—
1382C2×D4—222no—
1383C2×D4—222no—
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×D4—441no—
1394C2×D4—441no—
1395C2×D4—441no—
1396C2×D4—441no—
1397C2×D4—441no—
1398C2×D4—4416no—
1399C2×D4—441no—
1400C2×D4—441no—
1401C2×D4—441no—
1402C2×D4—441no—
1403C2×D4—441no—
1404C2×D4—441no—
1405C2×D4—441no—
1406C2×D4—441no—
1407C2×D4—441no—
1408C2×D4—441no—
1409C2×D4—441no—
1410C2×D4—441no—
1411C2×D4—441no—
1412C2×D4—441no—
1413C22×C4—22no—
1414C22×C4—22no—
1415C22×C4—22no—
1416C22×C4—41no—
1417C22×C4—41no—
1418C22×C4—41no—
1419C22×C4—111no—
1420C22×C4—114no—
1421C22×C4—111no—
1422C22×C4—111no—
1423C22×C4—111no—
1424C22×C4—111no—
1425C22×C4—111no—
1426C22×C4—111no—
1427C22×C4—114no—
1428C22×C4—114no—
1429C22×C4—111no—
1430C22×C4—111no—
1431C22×C4—111no—
1432C22×C4—111no—
1433C22×C4—111no—
1434C22×C4—222no—
1435C22×C4—222no—
1436C22×C4—222no—
1437C22×C4—222no—
1438C22×C4—222no—
1439C22×C4—222no—
1440C22×C4—222no—
1441C22×C4—222no—
1442C22×C4—222no—
1443C22×C4—222no—
1444C22×C4—441no—
1445C22×C4—441no—
1446C22×C4—441no—
1447C22×C4—441no—
1448C22×C4—441no—
1449C22×C4—441no—
1450C22×C4—441no—
1451C22×C4—441no—
1452C22×C4—441no—
1453C22×C4—441no—
1454C22×C4—441no—
1455C22×C4C23×D1111yescharacteristic
1456C22×C4C23×D1111yescharacteristic
1457C22×C4C23×D1111yescharacteristic
1458C22×C4C23×D1111yescharacteristic
1459C22×C4C23×D1111yescharacteristic
1460C22×C4C23×D1111yescharacteristic
1461C22×C4C23×D1111yescharacteristic
1462C22×C4C23×D1111yescharacteristic
1463C22×C4C23×D1111yescharacteristic
1464C22×C4C23×D1111yescharacteristic
1465C22×C4C23×D1111yescharacteristic
1466C4⋊C4—22no—
1467C4⋊C4—22no—
1468C4⋊C4—22no—
1469C4⋊C4—114no—
1470C4⋊C4—222no—
1471C4⋊C4—222no—
1472C4⋊C4—222no—
1473C4⋊C4—222no—
1474C4⋊C4—222no—
1475C4⋊C4—222no—
1476C4⋊C4—222no—
1477C4⋊C4—222no—
1478C4⋊C4—222no—
1479C4⋊C4—222no—
1480C4⋊C4—222no—
1481C4⋊C4—222no—
1482C4⋊C4—222no—
1483C4⋊C4—222no—
1484C4⋊C4—441no—
1485C4⋊C4—441no—
1486C4⋊C4—441no—
1487C4⋊C4—441no—
1488C4⋊C4—441no—
1489C4⋊C4—441no—
1490C22⋊C4—22no—
1491C22⋊C4—22no—
1492C22⋊C4—22no—
1493C22⋊C4—22no—
1494C22⋊C4—22no—
1495C22⋊C4—22no—
1496C22⋊C4—22no—
1497C22⋊C4—41no—
1498C22⋊C4—41no—
1499C22⋊C4—41no—
1500C22⋊C4—41no—
1501C22⋊C4—41no—
1502C22⋊C4—41no—
1503C22⋊C4—41no—
1504C22⋊C4—41no—
1505C22⋊C4—41no—
1506C22⋊C4—114no—
1507C22⋊C4—114no—
1508C22⋊C4—222no—
1509C22⋊C4—222no—
1510C22⋊C4—222no—
1511C22⋊C4—222no—
1512C22⋊C4—222no—
1513C22⋊C4—222no—
1514C22⋊C4—222no—
1515C22⋊C4—222no—
1516C22⋊C4—222no—
1517C22⋊C4—222no—
1518C22⋊C4—222no—
1519C22⋊C4—222no—
1520C22⋊C4—222no—
1521C22⋊C4—222no—
1522C22⋊C4—222no—
1523C22⋊C4—222no—
1524C22⋊C4—222no—
1525C22⋊C4—222no—
1526C22⋊C4—222no—
1527C22⋊C4—222no—
1528C22⋊C4—222no—
1529C22⋊C4—222no—
1530C22⋊C4—222no—
1531C22⋊C4—222no—
1532C22⋊C4—222no—
1533C22⋊C4—222no—
1534C22⋊C4—222no—
1535C22⋊C4—222no—
1536C22⋊C4—222no—
1537C22⋊C4—222no—
1538C22⋊C4—222no—
1539C22⋊C4—222no—
1540C22⋊C4—441no—
1541C22⋊C4—441no—
1542C22⋊C4—441no—
1543C22⋊C4—441no—
1544C22⋊C4—441no—
1545C22⋊C4—441no—
1546C22⋊C4—441no—
1547C22⋊C4—441no—
1548C22⋊C4—441no—
1549C22⋊C4D4×D1114yes—
1550C42—22no—
1551C42—41no—
1552C42—114no—
1553C42—222no—
1554C42—222no—
1555C42—222no—
1556C42—222no—
1557C42—222no—
1558C42—222no—
1559C42—222no—
1560C42—222no—
1561C42—441no—
1562C42—441no—
1563C42—441no—
1564C42—441no—
1565C11#3500711yescharacteristic, complemented, Sylow
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—21no—
1579C23—21no—
1580C23—21no—
1581C23—21no—
1582C23—21no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—44no—
1592C23—44no—
1593C23—44no—
1594C23—82no—
1595C23—82no—
1596C23—82no—
1597C23—82no—
1598C23—112no—
1599C23—221no—
1600C23—221no—
1601C23—221no—
1602C23—221no—
1603C23—221no—
1604C23—221no—
1605C23—221no—
1606C23—221no—
1607C23—221no—
1608C23—221no—
1609C23—221no—
1610C23—221no—
1611C23—221no—
1612C23—221no—
1613C23—221no—
1614C23—221no—
1615C23—221no—
1616C23—221no—
1617C23—221no—
1618C23—221no—
1619C23—221no—
1620C23—221no—
1621C23—221no—
1622C23—221no—
1623C23—221no—
1624C23—221no—
1625C23—221no—
1626C23—444no—
1627C23—444no—
1628C23—444no—
1629C23—882no—
1630C23—882no—
1631C23—882no—
1632C23—882no—
1633C23C2×D4×D1112yes—
1634C23#41×D1112yes—
1635C23#41×D1112yes—
1636C23C24×D1111yescharacteristic
1637Q8—82no—
1638Q8—882no—
1639D4—44no—
1640D4—82no—
1641D4—82no—
1642D4—228no—
1643D4—444no—
1644D4—444no—
1645D4—444no—
1646D4—444no—
1647D4—444no—
1648D4—444no—
1649D4—882no—
1650D4—882no—
1651D4—882no—
1652D4—882no—
1653D4—882no—
1654D4—882no—
1655D4—882no—
1656D4—882no—
1657D4—882no—
1658D4—882no—
1659D4—882no—
1660D4—882no—
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—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—44no—
1692C2×C4—82no—
1693C2×C4—112no—
1694C2×C4—112no—
1695C2×C4—112no—
1696C2×C4—112no—
1697C2×C4—112no—
1698C2×C4—112no—
1699C2×C4—112no—
1700C2×C4—112no—
1701C2×C4—112no—
1702C2×C4—228no—
1703C2×C4—221no—
1704C2×C4—221no—
1705C2×C4—221no—
1706C2×C4—221no—
1707C2×C4—221no—
1708C2×C4—221no—
1709C2×C4—221no—
1710C2×C4—221no—
1711C2×C4—221no—
1712C2×C4—221no—
1713C2×C4—221no—
1714C2×C4—221no—
1715C2×C4—221no—
1716C2×C4—221no—
1717C2×C4—221no—
1718C2×C4—221no—
1719C2×C4—221no—
1720C2×C4—221no—
1721C2×C4—221no—
1722C2×C4—221no—
1723C2×C4—221no—
1724C2×C4—221no—
1725C2×C4—221no—
1726C2×C4—221no—
1727C2×C4—221no—
1728C2×C4—221no—
1729C2×C4—221no—
1730C2×C4—444no—
1731C2×C4—444no—
1732C2×C4—444no—
1733C2×C4—444no—
1734C2×C4—882no—
1735C2×C4—882no—
1736C2×C4—882no—
1737C2×C4C2×D4×D1112yes—
1738C2×C4C2×D4×D1112yes—
1739C2×C4#6703712yes—
1740C22—22no—
1741C22—22no—
1742C22—22no—
1743C22—22no—
1744C22—22no—
1745C22—22no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—41no—
1753C22—41no—
1754C22—41no—
1755C22—41no—
1756C22—41no—
1757C22—41no—
1758C22—41no—
1759C22—41no—
1760C22—41no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22—41no—
1767C22—88no—
1768C22—222no—
1769C22—222no—
1770C22—222no—
1771C22—441no—
1772C22—441no—
1773C22—441no—
1774C22—441no—
1775C22—441no—
1776C22—441no—
1777C22—441no—
1778C22—441no—
1779C22—441no—
1780C22—441no—
1781C22—441no—
1782C22—441no—
1783C22—441no—
1784C22—441no—
1785C22—441no—
1786C22—441no—
1787C22—441no—
1788C22—441no—
1789C22—441no—
1790C22—441no—
1791C22—441no—
1792C22—441no—
1793C22—441no—
1794C22—441no—
1795C22—441no—
1796C22—888no—
1797C22#1062319914yes—
1798C22C22×D4×D1111yescharacteristic
1799C22C2×#6703711yescharacteristic
1800C22C2×#41×D1111yescharacteristic
1801C22C2×#41×D1111yescharacteristic
1802C22#1062345311yescharacteristic
1803C22D11×H(5,𝔽2)11yescharacteristic
1804C22D11×H(5,𝔽2)11yescharacteristic
1805C4—22no—
1806C4—22no—
1807C4—22no—
1808C4—41no—
1809C4—41no—
1810C4—41no—
1811C4—41no—
1812C4—41no—
1813C4—41no—
1814C4—41no—
1815C4—41no—
1816C4—114no—
1817C4—222no—
1818C4—222no—
1819C4—222no—
1820C4—222no—
1821C4—222no—
1822C4—222no—
1823C4—441no—
1824C4—441no—
1825C4—441no—
1826C4—441no—
1827C4—441no—
1828C2—24no—
1829C2—81no—
1830C2—81no—
1831C2—81no—
1832C2—442no—
1833C2—881no—
1834C2—881no—
1835C2—881no—
1836C2C2×#1062319911yescharacteristic
1837C2D11×#53811yescharacteristic
1838C2#1308203411yescharacteristic
1839C2#1308237611yescharacteristic
1840C2#1308238811yescharacteristic
1841C2#1308256611yescharacteristic
1842C2#1308263711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2472C2
hypercenter#2472D11
hypocenterC11#35007
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2472

Complements

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

NH ≅ G/Ntype
1. C2×#10623175C2semidirect
2. C2×#10623124C2semidirect
3. #13076982C2semidirect
4. #13076971C2semidirect
5. #13076960C2semidirect
6. #13076943C2semidirect
7. #13074762C2semidirect
8. #13074761C2semidirect
9. #13074751C2semidirect
10. #13074750C2semidirect
11. #13073692C2semidirect
12. #13073687C2semidirect
13. #13073683C2semidirect
14. #13073681C2semidirect
15. #13073197C2semidirect
16. #13072974C2semidirect
17. #13072742C2semidirect
18. #13072376C2semidirect
19. #13072315C2semidirect
20. #13072251C2semidirect
21. #13072199C2semidirect
22. #13072154C2semidirect
23. #13072152C2semidirect
24. #13072055C2semidirect
25. #13071971C2semidirect
26. #13071279C2semidirect
27. #13071271C2semidirect
28. #13071126C2semidirect
29. C2×#10622570C2semidirect
30. C4×(C22⋊D11)⋊C4C2semidirect
31. C11×#2472C2semidirect
33. C2×C11×#124C22semidirect
40. C2×#67000C22semidirect
41. C2×#67000C22semidirect
42. C2×#66997C22semidirect
47. C2×#66992C22semidirect
48. C2×#66991C22semidirect
50. C2×#66989C22semidirect
51. C2×#66988C22semidirect
61. C2×#66951C22semidirect
62. C2×#66951C22semidirect
63. C2×#66948C22semidirect
64. C2×#66948C22semidirect
65. C2×#66947C22semidirect
66. C2×#66947C22semidirect
67. C2×#66938C22semidirect
70. C2×#66937C22semidirect
71. C2×#66937C22semidirect
72. C2×#66937C22semidirect
73. C2×#66936C22semidirect
79. C2×(C22⋊D11)⋊C4C22semidirect
80. C2×#66932C22semidirect
81. C2×#66932C22semidirect
83. C2×#66928C22semidirect
84. C2×C42×D11C22semidirect
85. C11×#397C22semidirect
86. C11×#394C22semidirect
87. C11×#394C22semidirect
88. C11×#393C22semidirect
89. C11×#390C22semidirect
90. C11×#388C22semidirect
91. C11×#388C22semidirect
96. #10622842C22semidirect
101. #10622596C22semidirect
102. #10622593C22semidirect
103. #10622592C22semidirect
104. #10622589C22semidirect
105. #10622585C22semidirect
106. #10622585C22semidirect
111. #10622573C22semidirect
112. #10622573C22semidirect
115. #10622572C22semidirect
116. #10622572C22semidirect
117. #10622572C22semidirect
118. #10622572C22semidirect
120. #10622571C22semidirect
121. #10622571C22semidirect
134. #10622570C22semidirect
135. #10622570C22semidirect
136. #10622570C22semidirect
137. #10622570C22semidirect
138. #10622570C22semidirect
139. #10622570C22semidirect
140. #10622570C22semidirect
141. #10622570C22semidirect
142. #10622569C22semidirect
143. #10622569C22semidirect
144. #10622569C22semidirect
146. #10622564C22semidirect
147. #10622561C22semidirect
148. #10622561C22semidirect
150. #10622558C22semidirect
151. #10622558C22semidirect
152. #10622557C22semidirect
153. #10622557C22semidirect
154. #10622557C22semidirect
158. C22⋊C4×Dic11C22semidirect
159. #10622553C22semidirect
160. #10622553C22semidirect
161. #10622552C22semidirect
162. C4×(C2×D11)⋊C4C22semidirect
163. C4×Dic11⋊C4C22semidirect
164. C42×Dic11C22semidirect
165. #10622289C22semidirect
166. #10622289C22semidirect
167. #10622287C22semidirect
168. #10622286C22semidirect
169. #10622285C22semidirect
170. #10622285C22semidirect
171. #10622285C22semidirect
172. #10622285C22semidirect
173. #10622283C22semidirect
174. #10622283C22semidirect
175. #10622283C22semidirect
176. #10622282C22semidirect
177. #10622282C22semidirect
178. #10622282C22semidirect
179. #10622280C22semidirect
180. #10622279C22semidirect
181. #10622279C22semidirect
182. #10622279C22semidirect
183. #10622278C22semidirect
184. #10622262C22semidirect
185. #10622262C22semidirect
186. #10622262C22semidirect
187. #10622260C22semidirect
188. #10622260C22semidirect
371. (C22⋊D11)⋊C4D4semidirect
542. C2×C4×D11C2×D4semidirect
610. (C2×D11)⋊C4C2×D4semidirect
631. Dic11⋊C4C2×D4semidirect
644. C4×Dic11C2×D4semidirect
662. #2472D11semidirect
865. C2×#124C2×D11semidirect
906. #397C2×D11semidirect
923. #394C2×D11semidirect
924. #394C2×D11semidirect
926. #393C2×D11semidirect
956. #390C2×D11semidirect
975. #388C2×D11semidirect
976. #388C2×D11semidirect
1094. Dic11#538semidirect
1565. C11#35007semidirect

Maximal subgroups

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

subgroupindex
C2×#106231752
C2×#106231242
#130769822
#130769712
#130769602
#130769432
#130747622
#130747612
#130747512
#130747502
#130736922
#130736872
#130736832
#130736812
#130731972
#130729742
#130727422
#130723762
#130723152
#130722512
#130721992
#130721542
#130721522
#130720552
#130719712
#130712792
#130712712
#130711262
C2×#106225702
C4×(C22⋊D11)⋊C42
C11×#24722
#3500711