Finite Group Databasebeta

← #14926725

Subgroups — #14926725

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×#10623235C211yesmaximal, characteristic, complemented
2C2×#10623209C211yesmaximal, characteristic, complemented
3#13076981C211yesmaximal, characteristic, complemented
4#13076971C211yesmaximal, characteristic, complemented
5#13076960C211yesmaximal, characteristic, complemented
6#13076943C211yesmaximal, characteristic, complemented
7#13074753C211yesmaximal, characteristic, complemented
8#13074748C211yesmaximal, characteristic, complemented
9#13074746C211yesmaximal, characteristic, complemented
10#13073691C211yesmaximal, characteristic, complemented
11#13073686C211yesmaximal, characteristic, complemented
12#13073671C211yesmaximal, characteristic, complemented
13#13073669C211yesmaximal, characteristic, complemented
14#13073195C211yesmaximal, characteristic, complemented
15#13072974C211yesmaximal, characteristic, complemented
16#13072745C211yesmaximal, characteristic, complemented
17#13072737C211yesmaximal, characteristic, complemented
18#13072374C211yesmaximal, characteristic, complemented
19#13072311C211yesmaximal, characteristic, complemented
20#13072248C211yesmaximal, characteristic, complemented
21#13072199C211yesmaximal, characteristic, complemented
22#13072147C211yesmaximal, characteristic, complemented
23#13072145C211yesmaximal, characteristic, complemented
24#13072051C211yesmaximal, characteristic, complemented
25#13071967C211yesmaximal, characteristic, complemented
26#13071275C211yesmaximal, characteristic, complemented
27#13071269C211yesmaximal, characteristic, complemented
28#13071128C211yesmaximal, characteristic, complemented
29D11×#390C211yesmaximal, characteristic, complemented
30C4×#66946C211yesmaximal, characteristic, complemented
31C11×#2662C211yesmaximal, characteristic, complemented
32C22×D4×D11C2211yescharacteristic
33C2×C11×#126C2211yescharacteristic, complemented
34C2×C11×#124C2211yescharacteristic, complemented
35C2×#67000C2211yescharacteristic, complemented
36C2×#67000C2211yescharacteristic, complemented
37C2×#66999C2211yescharacteristic
38C2×#66997C2211yescharacteristic, complemented
39C2×#66993C2211yescharacteristic
40C2×#66993C2211yescharacteristic
41C2×#66992C2211yescharacteristic, complemented
42C2×#66991C2211yescharacteristic, complemented
43C2×#66990C2211yescharacteristic
44C2×#66990C2211yescharacteristic
45C2×#66989C2211yescharacteristic, complemented
46#10623235—28no—
47#10623209—28no—
48C2×#66951C2211yescharacteristic, complemented
49C2×#66949C2211yescharacteristic
50C2×#66948C2211yescharacteristic
51C2×#66948C2211yescharacteristic, complemented
52C2×#66948C2211yescharacteristic, complemented
53C2×#66947C2211yescharacteristic, complemented
54C2×#66946C2211yescharacteristic
55C2×#66946C2211yescharacteristic
56C2×#66946C2211yescharacteristic
57C2×C4⋊C4×D11C2211yescharacteristic
58C2×#66939C2211yescharacteristic, complemented
59C2×#66938C2211yescharacteristic, complemented
60C2×#66937C2211yescharacteristic
61C2×#66937C2211yescharacteristic
62C2×#66937C2211yescharacteristic
63C2×#66937C2211yescharacteristic
64C2×#66937C2211yescharacteristic, complemented
65C2×#66937C2211yescharacteristic, complemented
66C2×#66937C2211yescharacteristic, complemented
67C2×#66936C2211yescharacteristic, complemented
68C2×#66936C2211yescharacteristic, complemented
69C2×#66935C2211yescharacteristic
70C2×#66935C2211yescharacteristic
71C2×#66935C2211yescharacteristic
72C2×#66935C2211yescharacteristic
73C2×(C22⋊D11)⋊C4C2211yescharacteristic
74C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
75C2×C22⋊C4×D11C2211yescharacteristic
76C2×C22⋊C4×D11C2211yescharacteristic
77C2×C22⋊C4×D11C2211yescharacteristic
78C2×C22⋊C4×D11C2211yescharacteristic
79C2×#66932C2211yescharacteristic, complemented
80C2×#66929C2211yescharacteristic, complemented
81C2×#66928C2211yescharacteristic, complemented
82C2×C4×D44C2211yescharacteristic
83C2×C42×D11C2211yescharacteristic
84C2×C42×D11C2211yescharacteristic, complemented
85C11×#396C2211yescharacteristic, complemented
86C11×#396C2211yescharacteristic, complemented
87C11×#395C2211yescharacteristic, complemented
88C11×#394C2211yescharacteristic
89C11×#394C2211yescharacteristic, complemented
90C11×#394C2211yescharacteristic, complemented
91C11×#393C2211yescharacteristic, complemented
92C11×#392C2211yescharacteristic
93C11×#390C2211yescharacteristic
94C11×#390C2211yescharacteristic, complemented
95C11×#388C2211yescharacteristic, complemented
96C11×#388C2211yescharacteristic, complemented
97C4×C11×C4⋊C4C2211yescharacteristic, complemented
98#10622836C2211yescharacteristic
99#10622836C2211yescharacteristic
100#10622834C2211yescharacteristic
101#10622833C2211yescharacteristic, complemented
102#10622607C2211yescharacteristic, complemented
103#10622607C2211yescharacteristic, complemented
104#10622604C2211yescharacteristic
105#10622604C2211yescharacteristic, complemented
106#10622604C2211yescharacteristic, complemented
107#10622603C2211yescharacteristic, complemented
108#10622603C2211yescharacteristic, complemented
109#10622603C2211yescharacteristic, complemented
110#10622603C2211yescharacteristic, complemented
111#10622602C2211yescharacteristic
112#10622601C2211yescharacteristic
113#10622597C2211yescharacteristic, complemented
114#10622589C2211yescharacteristic, complemented
115C4⋊C4×Dic11C2211yescharacteristic, complemented
116C4⋊C4×Dic11C2211yescharacteristic, complemented
117#10622585C2211yescharacteristic, complemented
118#10622585C2211yescharacteristic, complemented
119#10622585C2211yescharacteristic, complemented
120#10622574C2211yescharacteristic, complemented
121#10622574C2211yescharacteristic, complemented
122#10622573C2211yescharacteristic
123#10622573C2211yescharacteristic, complemented
124#10622573C2211yescharacteristic, complemented
125#10622572C2211yescharacteristic, complemented
126#10622572C2211yescharacteristic, complemented
127#10622571C2211yescharacteristic, complemented
128#10622570C2211yescharacteristic
129#10622570C2211yescharacteristic
130#10622570C2211yescharacteristic
131#10622570C2211yescharacteristic
132#10622570C2211yescharacteristic
133#10622570C2211yescharacteristic
134#10622570C2211yescharacteristic
135#10622570C2211yescharacteristic
136#10622570C2211yescharacteristic, complemented
137#10622570C2211yescharacteristic, complemented
138#10622570C2211yescharacteristic, complemented
139#10622570C2211yescharacteristic, complemented
140#10622570C2211yescharacteristic, complemented
141#10622570C2211yescharacteristic, complemented
142#10622570C2211yescharacteristic, complemented
143#10622570C2211yescharacteristic, complemented
144#10622569C2211yescharacteristic
145#10622569C2211yescharacteristic
146#10622569C2211yescharacteristic, complemented
147#10622569C2211yescharacteristic, complemented
148#10622568C2211yescharacteristic
149#10622568C2211yescharacteristic
150#10622565C2211yescharacteristic, complemented
151#10622564C2211yescharacteristic, complemented
152#10622558C2211yescharacteristic, complemented
153#10622558C2211yescharacteristic, complemented
154#10622558C2211yescharacteristic, complemented
155#10622558C2211yescharacteristic, complemented
156#10622557C2211yescharacteristic, complemented
157C22⋊C4×Dic11C2211yescharacteristic, complemented
158#10622553C2211yescharacteristic, complemented
159#10622553C2211yescharacteristic, complemented
160#10622552C2211yescharacteristic
161#10622552C2211yescharacteristic, complemented
162C4×(C2×D11)⋊C4C2211yescharacteristic
163C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
164C42×Dic11C2211yescharacteristic, complemented
165#10622288C2211yescharacteristic, complemented
166#10622286C2211yescharacteristic, complemented
167#10622285C2211yescharacteristic, complemented
168#10622285C2211yescharacteristic, complemented
169#10622284C2211yescharacteristic
170#10622284C2211yescharacteristic
171#10622283C2211yescharacteristic, complemented
172#10622282C2211yescharacteristic, complemented
173#10622281C2211yescharacteristic
174#10622280C2211yescharacteristic
175#10622280C2211yescharacteristic, complemented
176#10622279C2211yescharacteristic
177#10622279C2211yescharacteristic
178#10622279C2211yescharacteristic, complemented
179#10622279C2211yescharacteristic, complemented
180#10622279C2211yescharacteristic, complemented
181#10622278C2211yescharacteristic
182#10622278C2211yescharacteristic
183#10622278C2211yescharacteristic, complemented
184#10622278C2211yescharacteristic, complemented
185#10622270C2211yescharacteristic, complemented
186#10622269C2211yescharacteristic, complemented
187#10622262C2211yescharacteristic, complemented
188#10622260C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C24×D11C2311yescharacteristic
191C22×Q8×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C22×D4×C11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C22×C22⋊D11C2311yescharacteristic
202C22×C22⋊D11C2311yescharacteristic
203C22×C22⋊D11C2311yescharacteristic
204C22×C22⋊D11C2311yescharacteristic
205C22×C22⋊D11C2311yescharacteristic
206C23×Dic11C2311yescharacteristic
207C2×D4×D11—24no—
208C2×D4×D11—42no—
209C2×D4×D11—42no—
210C22×D44C2311yescharacteristic
211C22×D44C2311yescharacteristic
212C22×D44C2311yescharacteristic
213C22×D44C2311yescharacteristic
214C22×D44C2311yescharacteristic
215C22×D44C2311yescharacteristic
216C22×D44C2311yescharacteristic
217C22×D44C2311yescharacteristic
218C22×C4×D11C2311yescharacteristic
219C22×C4×D11C2311yescharacteristic
220C22×C4×D11C2311yescharacteristic
221C22×C4×D11C2311yescharacteristic
222C22×C4×D11C2311yescharacteristic
223C22×C4×D11C2311yescharacteristic
224C22×C4×D11C2311yescharacteristic
225C22×C4×D11C2311yescharacteristic
226C22×C4×D11C2311yescharacteristic
227C22×Dic22C2311yescharacteristic
228C11×#126—24no—
229C11×#124—24no—
230C2×C11×C4⋊C4C2311yescharacteristic
231C2×C11×C4⋊C4C2311yescharacteristic
232C2×C11×C4⋊C4C2311yescharacteristic
233C2×C11×C4⋊C4C2311yescharacteristic
234C2×C11×C4⋊C4C2311yescharacteristic
235C2×C11×C4⋊C4C2311yescharacteristic
236C2×C11×C4⋊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
254C2×C42×C11C2311yescharacteristic
255C2×C22⋊Dic11C2311yescharacteristic
256C2×C22⋊Dic11C2311yescharacteristic
257C2×C22⋊Dic11C2311yescharacteristic
258C2×C22⋊Dic11C2311yescharacteristic
259C2×C22⋊Dic11C2311yescharacteristic
260C2×C22⋊Dic11C2311yescharacteristic
261C2×C22⋊Dic11C2311yescharacteristic
262C2×C22⋊Dic11C2311yescharacteristic
263C2×C22⋊Dic11C2311yescharacteristic
264C2×C22⋊Dic11C2311yescharacteristic
265#67000—24no—
266#67000—42no—
267#66999—24no—
268#66997—42no—
269#66993—42no—
270#66993—42no—
271#66992—24no—
272#66991—42no—
273#66990—24no—
274#66990—24no—
275#66989—42no—
276C2×(C2×D11)⋊C4C2311yescharacteristic
277C2×(C2×D11)⋊C4C2311yescharacteristic
278C2×(C2×D11)⋊C4C2311yescharacteristic
279C2×(C2×D11)⋊C4C2311yescharacteristic
280C2×(C2×D11)⋊C4C2311yescharacteristic
281C2×(C2×D11)⋊C4C2311yescharacteristic
282C2×(C2×D11)⋊C4C2311yescharacteristic
283C2×(C2×D11)⋊C4C2311yescharacteristic
284C2×(C2×D11)⋊C4C2311yescharacteristic
285C2×(C2×D11)⋊C4C2311yescharacteristic
286C2×(C2×D11)⋊C4C2311yescharacteristic
287C2×(C2×D11)⋊C4C2311yescharacteristic
288C2×(C2×D11)⋊C4C2311yescharacteristic
289C2×(C2×D11)⋊C4C2311yescharacteristic
290C2×(C2×D11)⋊C4C2311yescharacteristic
291C2×(C2×D11)⋊C4C2311yescharacteristic
292C2×(C2×D11)⋊C4C2311yescharacteristic
293C2×(C2×D11)⋊C4C2311yescharacteristic
294C2×(C2×D11)⋊C4C2311yescharacteristic
295C2×(C2×D11)⋊C4C2311yescharacteristic
296C2×(C2×D11)⋊C4C2311yescharacteristic
297C2×(C2×D11)⋊C4C2311yescharacteristic
298C2×(C2×D11)⋊C4C2311yescharacteristic
299C2×(C2×D11)⋊C4C2311yescharacteristic
300C2×(C2×D11)⋊C4C2311yescharacteristic
301C2×(C2×D11)⋊C4C2311yescharacteristic
302C2×(C2×D11)⋊C4C2311yescharacteristic
303C2×(C2×D11)⋊C4C2311yescharacteristic
304C2×(C2×D11)⋊C4C2311yescharacteristic
305C2×(C2×D11)⋊C4C2311yescharacteristic
306C2×(C2×D11)⋊C4C2311yescharacteristic
307C2×(C2×D11)⋊C4C2311yescharacteristic
308C2×(C2×D11)⋊C4C2311yescharacteristic
309C2×(C2×D11)⋊C4C2311yescharacteristic
310C2×(C2×D11)⋊C4C2311yescharacteristic
311C2×C4⋊Dic11C2311yescharacteristic
312C2×C4⋊Dic11C2311yescharacteristic
313C2×C4⋊Dic11C2311yescharacteristic
314C2×C4⋊Dic11C2311yescharacteristic
315C2×Dic11⋊C4C2311yescharacteristic
316C2×Dic11⋊C4C2311yescharacteristic
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×C4×Dic11C2311yescharacteristic
329C2×C4×Dic11C2311yescharacteristic
330C2×C4×Dic11C2311yescharacteristic
331C2×C4×Dic11C2311yescharacteristic
332C2×C4×Dic11C2311yescharacteristic
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#66949—24no—
342#66948—24no—
343#66948—24no—
344#66948—42no—
345#66947—24no—
346#66946—24no—
347#66946—24no—
348#66946—24no—
349C4⋊C4×D11—42no—
350#66939—24no—
351#66938—24no—
352#66937—24no—
353#66937—24no—
354#66937—24no—
355#66937—24no—
356#66937—42no—
357#66937—42no—
358#66937—42no—
359#66936—24no—
360#66936—24no—
361#66935—24no—
362#66935—24no—
363#66935—24no—
364#66935—24no—
365(C22⋊D11)⋊C4—24no—
366(C22⋊D11)⋊C4—42no—
367C22⋊C4×D11—24no—
368C22⋊C4×D11—24no—
369C22⋊C4×D11—42no—
370C22⋊C4×D11—42no—
371#66932—24no—
372#66929—24no—
373#66928—24no—
374C4×D44D418yescomplemented
375C42×D11—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×C11C2411yescharacteristic
399C24×C11C2411yescharacteristic
400C24×C11C2411yescharacteristic
401C23×D11—22no—
402C23×D11—22no—
403C23×D11—22no—
404C23×D11—22no—
405C23×D11—22no—
406C23×D11—22no—
407C23×D11—41no—
408C23×D11—41no—
409C23×D11—41no—
410C23×D11—41no—
411C23×D11—41no—
412C23×D11—41no—
413C23×D11—41no—
414C23×D11—41no—
415C23×D11C2411yescharacteristic
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—41no—
427C2×D4×C11—41no—
428C2×D4×C11—41no—
429C2×D4×C11—41no—
430C2×D4×C11—41no—
431C2×D4×C11—41no—
432C22×C4×C11C2411yescharacteristic
433C22×C4×C11C2411yescharacteristic
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—22no—
454C2×C22⋊D11—22no—
455C2×C22⋊D11—22no—
456C2×C22⋊D11—22no—
457C2×C22⋊D11—22no—
458C2×C22⋊D11—22no—
459C2×C22⋊D11—22no—
460C2×C22⋊D11—22no—
461C2×C22⋊D11—22no—
462C2×C22⋊D11—22no—
463C2×C22⋊D11—41no—
464C2×C22⋊D11—41no—
465C2×C22⋊D11—41no—
466C2×C22⋊D11—41no—
467C2×C22⋊D11—41no—
468C2×C22⋊D11—41no—
469C2×C22⋊D11—41no—
470C2×C22⋊D11—41no—
471C2×C22⋊D11—41no—
472C2×C22⋊D11—41no—
473C2×C22⋊D11—41no—
474C2×C22⋊D11—41no—
475C2×C22⋊D11—41no—
476C2×C22⋊D11—41no—
477C22×Dic11—22no—
478C22×Dic11—41no—
479C22×Dic11—41no—
480C22×Dic11C2411yescharacteristic
481C22×Dic11C2411yescharacteristic
482C22×Dic11C2411yescharacteristic
483C22×Dic11C2411yescharacteristic
484C22×Dic11C2411yescharacteristic
485C22×Dic11C2411yescharacteristic
486C22×Dic11C2411yescharacteristic
487C22×Dic11C2411yescharacteristic
488C22×Dic11C2411yescharacteristic
489C22×Dic11C2411yescharacteristic
490C22×Dic11C2411yescharacteristic
491D4×D11—416no—
492C2×D44—22no—
493C2×D44—22no—
494C2×D44—22no—
495C2×D44—22no—
496C2×D44—22no—
497C2×D44—22no—
498C2×D44—22no—
499C2×D44—22no—
500C2×D44—22no—
501C2×D44—22no—
502C2×D44—22no—
503C2×D44—41no—
504C2×D44—41no—
505C2×D44—41no—
506C2×D44—41no—
507C2×D44—41no—
508C2×D44—41no—
509C2×D44—41no—
510C2×D44—41no—
511C2×D44—41no—
512C2×D44—41no—
513C2×D44—41no—
514C2×D44—41no—
515C2×D44C2×D414yes—
516C2×C4×D11—22no—
517C2×C4×D11—22no—
518C2×C4×D11—22no—
519C2×C4×D11—22no—
520C2×C4×D11—22no—
521C2×C4×D11—22no—
522C2×C4×D11—22no—
523C2×C4×D11—22no—
524C2×C4×D11—22no—
525C2×C4×D11—22no—
526C2×C4×D11—22no—
527C2×C4×D11—22no—
528C2×C4×D11—41no—
529C2×C4×D11—41no—
530C2×C4×D11—41no—
531C2×C4×D11—41no—
532C2×C4×D11—41no—
533C2×C4×D11—41no—
534C2×C4×D11—41no—
535C2×C4×D11—41no—
536C2×C4×D11—41no—
537C2×C4×D11—41no—
538C2×C4×D11—41no—
539C2×C4×D11—41no—
540C2×C4×D11C2×D414yes—
541C2×C4×D11C2×D414yescomplemented
542C2×C4×D11#4114yes—
543C2×Dic22—22no—
544C2×Dic22—41no—
545C2×Dic22—41no—
546C11×C4⋊C4—22no—
547C11×C4⋊C4—22no—
548C11×C4⋊C4—22no—
549C11×C4⋊C4—22no—
550C11×C4⋊C4—22no—
551C11×C4⋊C4—41no—
552C11×C4⋊C4—41no—
553C11×C22⋊C4—22no—
554C11×C22⋊C4—22no—
555C11×C22⋊C4—22no—
556C11×C22⋊C4—22no—
557C11×C22⋊C4—22no—
558C11×C22⋊C4—22no—
559C11×C22⋊C4—22no—
560C11×C22⋊C4—22no—
561C11×C22⋊C4—22no—
562C11×C22⋊C4—41no—
563C11×C22⋊C4—41no—
564C11×C22⋊C4—41no—
565C11×C22⋊C4—41no—
566C11×C22⋊C4—41no—
567C11×C22⋊C4—41no—
568C42×C11—41no—
569C42×C11—41no—
570C42×C11C2×D414yescomplemented
571C22⋊Dic11—22no—
572C22⋊Dic11—22no—
573C22⋊Dic11—22no—
574C22⋊Dic11—22no—
575C22⋊Dic11—22no—
576C22⋊Dic11—22no—
577C22⋊Dic11—22no—
578C22⋊Dic11—41no—
579C22⋊Dic11—41no—
580C22⋊Dic11—41no—
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—22no—
602(C2×D11)⋊C4—22no—
603(C2×D11)⋊C4—22no—
604(C2×D11)⋊C4—41no—
605(C2×D11)⋊C4—41no—
606(C2×D11)⋊C4—41no—
607(C2×D11)⋊C4—41no—
608(C2×D11)⋊C4—41no—
609(C2×D11)⋊C4—41no—
610(C2×D11)⋊C4—41no—
611(C2×D11)⋊C4—41no—
612(C2×D11)⋊C4—41no—
613(C2×D11)⋊C4C2×D414yes—
614(C2×D11)⋊C4C2×D414yescomplemented
615(C2×D11)⋊C4#4114yes—
616C4⋊Dic11—22no—
617C4⋊Dic11—41no—
618C4⋊Dic11—41no—
619C4⋊Dic11C2×D414yescomplemented
620Dic11⋊C4—22no—
621Dic11⋊C4—22no—
622Dic11⋊C4—22no—
623Dic11⋊C4—22no—
624Dic11⋊C4—22no—
625Dic11⋊C4—22no—
626Dic11⋊C4—22no—
627Dic11⋊C4—22no—
628Dic11⋊C4—22no—
629Dic11⋊C4—22no—
630Dic11⋊C4—22no—
631Dic11⋊C4—41no—
632Dic11⋊C4—41no—
633C4×Dic11—22no—
634C4×Dic11—22no—
635C4×Dic11—22no—
636C4×Dic11—22no—
637C4×Dic11—22no—
638C4×Dic11—22no—
639C4×Dic11—22no—
640C4×Dic11—22no—
641C4×Dic11—22no—
642C4×Dic11—41no—
643C4×Dic11—41no—
644C4×Dic11—41no—
645C2×#538—111no—
646C2×#538—111no—
647#2860—111no—
648#2858—111no—
649#2856—111no—
650#2854—111no—
651#2662—111no—
652#2662D1111yescharacteristic, complemented
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#2472—111no—
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×C11C2511yescharacteristic
698C22×D11—21no—
699C22×D11—21no—
700C22×D11—21no—
701C22×D11—21no—
702C22×D11—21no—
703C22×D11—21no—
704C22×D11—21no—
705C22×D11—21no—
706C22×D11—21no—
707C22×D11—21no—
708C22×D11—21no—
709C22×D11—21no—
710C22×D11—21no—
711C22×D11—21no—
712C22×D11—21no—
713C22×D11—21no—
714C22×D11—21no—
715C22×D11—21no—
716C22×D11—21no—
717C22×D11—21no—
718C22×D11—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—44no—
730C22×D11—44no—
731C22×D11—44no—
732C22×D11—44no—
733C22×D11—44no—
734C22×D11—44no—
735C22×D11—82no—
736C22×D11—82no—
737C22×D11—82no—
738C22×D11—82no—
739C22×D11—82no—
740C22×D11—82no—
741C22×D11—82no—
742C22×D11—82no—
743C22×D11C22×D412yes—
744C22×D11C22×D412yes—
745C22×D11C2×#4112yes—
746C22×D11C2×#4112yes—
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—21no—
782C2×C4×C11C22×D412yes—
783C2×C4×C11C22×D412yes—
784C2×C4×C11C22×D412yes—
785C2×C4×C11C2×#4112yes—
786C2×C4×C11C2×#4112yes—
787C22⋊D11—44no—
788C22⋊D11—44no—
789C22⋊D11—44no—
790C22⋊D11—44no—
791C22⋊D11—82no—
792C22⋊D11—82no—
793C22⋊D11—82no—
794C22⋊D11—82no—
795C22⋊D11—82no—
796C22⋊D11—82no—
797C22⋊D11—82no—
798C2×Dic11—21no—
799C2×Dic11—21no—
800C2×Dic11—21no—
801C2×Dic11—21no—
802C2×Dic11—21no—
803C2×Dic11—21no—
804C2×Dic11—21no—
805C2×Dic11—21no—
806C2×Dic11—21no—
807C2×Dic11—21no—
808C2×Dic11—21no—
809C2×Dic11—21no—
810C2×Dic11—21no—
811C2×Dic11—21no—
812C2×Dic11—21no—
813C2×Dic11—21no—
814C2×Dic11—21no—
815C2×Dic11—21no—
816C2×Dic11—21no—
817C2×Dic11—21no—
818C2×Dic11—21no—
819C2×Dic11—21no—
820C2×Dic11—21no—
821C2×Dic11—21no—
822C2×Dic11—21no—
823C2×Dic11—21no—
824C2×Dic11—82no—
825C2×Dic11C22×D412yes—
826C2×Dic11C22×D412yes—
827C2×Dic11C2×#4112yes—
828C2×Dic11C2×#4112yes—
829C2×Dic11H(5,𝔽2)12yes—
830C2×Dic11H(5,𝔽2)12yes—
831C2×Dic11H(5,𝔽2)12yes—
832D44—28no—
833D44—44no—
834D44—44no—
835D44—82no—
836D44—82no—
837D44—82no—
838D44—82no—
839D44—82no—
840C4×D11—28no—
841C4×D11—44no—
842C4×D11—44no—
843C4×D11—44no—
844C4×D11—44no—
845C4×D11—44no—
846C4×D11—82no—
847C4×D11—82no—
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×#126C2×D1111yescharacteristic, complemented
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⋊Q8—111no—
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×#120—111no—
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⋊C4—111no—
901C22×C42—111no—
902C22×C42—111no—
903#398—111no—
904#398—111no—
905#397—111no—
906#397—111no—
907#396—111no—
908#396—111no—
909#396C2×D1111yescharacteristic, complemented
910#396C2×D1111yescharacteristic, complemented
911#395—111no—
912#395C2×D1111yescharacteristic, complemented
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#394C2×D1111yescharacteristic
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#392C2×D1111yescharacteristic
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#390C2×D1111yescharacteristic
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#386—111no—
986#386—111no—
987#385—111no—
988#385—111no—
989#384—111no—
990#380—111no—
991#380—111no—
992#379—111no—
993#379—111no—
994C4×C4⋊C4—111no—
995C4×C4⋊C4—111no—
996C4×C4⋊C4—111no—
997C4×C4⋊C4C2×D1111yescharacteristic, complemented
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⋊C4—111no—
1006C43—111no—
1007C22×C11—41no—
1008C22×C11—41no—
1009C22×C11—41no—
1010C22×C11—41no—
1011C22×C11—41no—
1012C22×C11—41no—
1013C22×C11—41no—
1014C22×C11—41no—
1015C22×C11—41no—
1016C22×C11—41no—
1017C22×C11—41no—
1018C22×C11—41no—
1019C22×C11—41no—
1020C22×C11—41no—
1021C22×C11—41no—
1022C22×C11—41no—
1023C22×C11—41no—
1024C22×C11—41no—
1025C22×C11—41no—
1026C22×C11—41no—
1027C22×C11—41no—
1028C22×C11C23×D411yescharacteristic
1029C22×C11C22×#4111yescharacteristic
1030C22×C11C22×#4111yescharacteristic
1031C22×C11C2×H(5,𝔽2)11yescharacteristic
1032C22×C11C2×H(5,𝔽2)11yescharacteristic
1033C22×C11C2×H(5,𝔽2)11yescharacteristic
1034C22×C11#58511yescharacteristic
1035C2×D11—22no—
1036C2×D11—22no—
1037C2×D11—22no—
1038C2×D11—22no—
1039C2×D11—22no—
1040C2×D11—22no—
1041C2×D11—22no—
1042C2×D11—22no—
1043C2×D11—22no—
1044C2×D11—41no—
1045C2×D11—41no—
1046C2×D11—41no—
1047C2×D11—41no—
1048C2×D11—41no—
1049C2×D11—41no—
1050C2×D11—41no—
1051C2×D11—41no—
1052C2×D11—41no—
1053C2×D11—41no—
1054C2×D11—41no—
1055C2×D11—41no—
1056C2×D11—41no—
1057C2×D11—41no—
1058C2×D11—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—88no—
1070C2×D11—88no—
1071C2×D11#53214yes—
1072C4×C11—22no—
1073C4×C11—22no—
1074C4×C11—22no—
1075C4×C11—22no—
1076C4×C11—22no—
1077C4×C11—41no—
1078C4×C11—41no—
1079C4×C11—41no—
1080C4×C11—41no—
1081C4×C11—41no—
1082C4×C11—41no—
1083C4×C11—41no—
1084Dic11—22no—
1085Dic11—22no—
1086Dic11—22no—
1087Dic11—22no—
1088Dic11—41no—
1089Dic11—41no—
1090Dic11—41no—
1091Dic11—41no—
1092Dic11—41no—
1093Dic11—41no—
1094Dic11#53814yescomplemented
1095C25—111no—
1096C25—111no—
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×C4—111no—
1133C23×C4—111no—
1134C4⋊Q8—442no—
1135#127—442no—
1136#127—442no—
1137#126—24no—
1138#126—224no—
1139#126—224no—
1140#126—224no—
1141#124—24no—
1142#124—224no—
1143#124—224no—
1144#124—224no—
1145#124—442no—
1146#124—442no—
1147#123—224no—
1148#123—224no—
1149#123—224no—
1150#123—224no—
1151C22⋊Q8—224no—
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—224no—
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—442no—
1195C2×C4⋊C4C22×D1111yescharacteristic
1196C2×C4⋊C4C22×D1111yescharacteristic
1197C2×C4⋊C4C22×D1111yescharacteristic
1198C2×C4⋊C4C22×D1111yescharacteristic
1199C2×C4⋊C4C22×D1111yescharacteristic
1200C2×C4⋊C4C22×D1111yescharacteristic
1201C2×C4⋊C4C22×D1111yescharacteristic
1202C2×C22⋊C4—111no—
1203C2×C22⋊C4—111no—
1204C2×C22⋊C4—111no—
1205C2×C22⋊C4—111no—
1206C2×C22⋊C4—111no—
1207C2×C22⋊C4—111no—
1208C2×C22⋊C4—111no—
1209C2×C22⋊C4—111no—
1210C2×C22⋊C4—111no—
1211C2×C22⋊C4—111no—
1212C2×C22⋊C4—111no—
1213C2×C22⋊C4—111no—
1214C2×C22⋊C4—111no—
1215C2×C22⋊C4—111no—
1216C2×C22⋊C4—111no—
1217C2×C22⋊C4—111no—
1218C2×C22⋊C4—111no—
1219C2×C22⋊C4—111no—
1220C2×C22⋊C4—111no—
1221C2×C22⋊C4—111no—
1222C2×C22⋊C4—111no—
1223C2×C22⋊C4—111no—
1224C2×C22⋊C4—111no—
1225C2×C22⋊C4—111no—
1226C2×C22⋊C4—111no—
1227C2×C22⋊C4—111no—
1228C2×C22⋊C4—111no—
1229C2×C22⋊C4—111no—
1230C2×C22⋊C4—111no—
1231C2×C22⋊C4—111no—
1232C2×C22⋊C4—111no—
1233C2×C22⋊C4—111no—
1234C2×C22⋊C4—111no—
1235C2×C22⋊C4—111no—
1236C2×C22⋊C4—111no—
1237C2×C22⋊C4—111no—
1238C2×C22⋊C4—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—111no—
1247C2×C22⋊C4—224no—
1248C2×C22⋊C4—224no—
1249C2×C22⋊C4—442no—
1250C2×C22⋊C4—442no—
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—442no—
1279C2×C42—442no—
1280C2×C42C22×D1111yescharacteristic
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—81no—
1304C2×C11—81no—
1305C2×C11—81no—
1306C2×C11C2×#53211yescharacteristic
1307C2×C11C2×#53811yescharacteristic
1308C2×C11#346011yescharacteristic
1309C2×C11#349611yescharacteristic
1310C2×C11#349811yescharacteristic
1311C2×C11#351411yescharacteristic
1312C2×C11#351911yescharacteristic
1313D11—24no—
1314D11—42no—
1315D11—81no—
1316D11—81no—
1317D11—81no—
1318C24—111no—
1319C24—111no—
1320C24—111no—
1321C24—111no—
1322C24—111no—
1323C24—222no—
1324C24—222no—
1325C24—222no—
1326C24—222no—
1327C24—222no—
1328C24—222no—
1329C24—441no—
1330C24—441no—
1331C24—441no—
1332C24—441no—
1333C24—441no—
1334C24—441no—
1335C24—441no—
1336C24—441no—
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—41no—
1350C2×D4—41no—
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—222no—
1385C2×D4—222no—
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—111no—
1414C22×C4—111no—
1415C22×C4—111no—
1416C22×C4—111no—
1417C22×C4—111no—
1418C22×C4—114no—
1419C22×C4—114no—
1420C22×C4—114no—
1421C22×C4—111no—
1422C22×C4—111no—
1423C22×C4—111no—
1424C22×C4—111no—
1425C22×C4—111no—
1426C22×C4—111no—
1427C22×C4—222no—
1428C22×C4—222no—
1429C22×C4—222no—
1430C22×C4—222no—
1431C22×C4—222no—
1432C22×C4—222no—
1433C22×C4—222no—
1434C22×C4—222no—
1435C22×C4—222no—
1436C22×C4—222no—
1437C22×C4—222no—
1438C22×C4—222no—
1439C22×C4—222no—
1440C22×C4—441no—
1441C22×C4—441no—
1442C22×C4—441no—
1443C22×C4—441no—
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×C4C23×D1111yescharacteristic
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—22no—
1470C4⋊C4—22no—
1471C4⋊C4—41no—
1472C4⋊C4—41no—
1473C4⋊C4—114no—
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—222no—
1485C4⋊C4—222no—
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—22no—
1498C22⋊C4—22no—
1499C22⋊C4—41no—
1500C22⋊C4—41no—
1501C22⋊C4—41no—
1502C22⋊C4—41no—
1503C22⋊C4—41no—
1504C22⋊C4—41no—
1505C22⋊C4—114no—
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—441no—
1539C22⋊C4—441no—
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⋊C4—441no—
1550C42—41no—
1551C42—41no—
1552C42—222no—
1553C42—222no—
1554C42—222no—
1555C42—222no—
1556C42—222no—
1557C42—222no—
1558C42—222no—
1559C42—222no—
1560C42—222no—
1561C42—441no—
1562C42—441no—
1563C42—441no—
1564C42D4×D1114yescomplemented
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—112no—
1588C23—112no—
1589C23—112no—
1590C23—112no—
1591C23—221no—
1592C23—221no—
1593C23—221no—
1594C23—221no—
1595C23—221no—
1596C23—221no—
1597C23—221no—
1598C23—221no—
1599C23—221no—
1600C23—221no—
1601C23—221no—
1602C23—221no—
1603C23—221no—
1604C23—221no—
1605C23—221no—
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—444no—
1623C23—444no—
1624C23—444no—
1625C23—444no—
1626C23—444no—
1627C23—444no—
1628C23—882no—
1629C23—882no—
1630C23—882no—
1631C23—882no—
1632C23—882no—
1633C23—882no—
1634C23—882no—
1635C23—882no—
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—21no—
1692C2×C4—112no—
1693C2×C4—112no—
1694C2×C4—112no—
1695C2×C4—112no—
1696C2×C4—112no—
1697C2×C4—112no—
1698C2×C4—112no—
1699C2×C4—228no—
1700C2×C4—221no—
1701C2×C4—221no—
1702C2×C4—221no—
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—444no—
1727C2×C4—444no—
1728C2×C4—444no—
1729C2×C4—444no—
1730C2×C4—444no—
1731C2×C4—882no—
1732C2×C4—882no—
1733C2×C4—882no—
1734C2×C4—882no—
1735C2×C4C2×D4×D1112yes—
1736C2×C4C2×D4×D1112yes—
1737C2×C4C2×D4×D1112yes—
1738C2×C4#41×D1112yes—
1739C2×C4#41×D1112yes—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—41no—
1753C22—41no—
1754C22—41no—
1755C22—41no—
1756C22—41no—
1757C22—41no—
1758C22—41no—
1759C22—41no—
1760C22—41no—
1761C22—114no—
1762C22—222no—
1763C22—222no—
1764C22—222no—
1765C22—222no—
1766C22—222no—
1767C22—222no—
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—888no—
1798C22C22×D4×D1111yescharacteristic
1799C22C2×#41×D1111yescharacteristic
1800C22C2×#41×D1111yescharacteristic
1801C22D11×H(5,𝔽2)11yescharacteristic
1802C22D11×H(5,𝔽2)11yescharacteristic
1803C22D11×H(5,𝔽2)11yescharacteristic
1804C22#1062345711yescharacteristic
1805C4—22no—
1806C4—22no—
1807C4—22no—
1808C4—22no—
1809C4—22no—
1810C4—41no—
1811C4—41no—
1812C4—41no—
1813C4—41no—
1814C4—41no—
1815C4—41no—
1816C4—41no—
1817C4—114no—
1818C4—222no—
1819C4—222no—
1820C4—222no—
1821C4—222no—
1822C4—441no—
1823C4—441no—
1824C4—441no—
1825C4—441no—
1826C4—441no—
1827C4—441no—
1828C2—81no—
1829C2—81no—
1830C2—81no—
1831C2—224no—
1832C2—442no—
1833C2—881no—
1834C2—881no—
1835C2—881no—
1836C2D11×#53211yescharacteristic
1837C2D11×#53811yescharacteristic
1838C2#1308203611yescharacteristic
1839C2#1308237911yescharacteristic
1840C2#1308239111yescharacteristic
1841C2#1308257511yescharacteristic
1842C2#1308264011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2662C2
hypercenter#2662D11
hypocenterC11#35007
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2662

Complements

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

NH ≅ G/Ntype
1. C2×#10623235C2semidirect
2. C2×#10623209C2semidirect
3. #13076981C2semidirect
4. #13076971C2semidirect
5. #13076960C2semidirect
6. #13076943C2semidirect
7. #13074753C2semidirect
8. #13074748C2semidirect
9. #13074746C2semidirect
10. #13073691C2semidirect
11. #13073686C2semidirect
12. #13073671C2semidirect
13. #13073669C2semidirect
14. #13073195C2semidirect
15. #13072974C2semidirect
16. #13072745C2semidirect
17. #13072737C2semidirect
18. #13072374C2semidirect
19. #13072311C2semidirect
20. #13072248C2semidirect
21. #13072199C2semidirect
22. #13072147C2semidirect
23. #13072145C2semidirect
24. #13072051C2semidirect
25. #13071967C2semidirect
26. #13071275C2semidirect
27. #13071269C2semidirect
28. #13071128C2semidirect
29. D11×#390C2semidirect
30. C4×#66946C2semidirect
31. C11×#2662C2semidirect
33. C2×C11×#126C22semidirect
34. C2×C11×#124C22semidirect
35. C2×#67000C22semidirect
36. C2×#67000C22semidirect
38. C2×#66997C22semidirect
41. C2×#66992C22semidirect
42. C2×#66991C22semidirect
45. C2×#66989C22semidirect
48. C2×#66951C22semidirect
51. C2×#66948C22semidirect
52. C2×#66948C22semidirect
53. C2×#66947C22semidirect
58. C2×#66939C22semidirect
59. C2×#66938C22semidirect
64. C2×#66937C22semidirect
65. C2×#66937C22semidirect
66. C2×#66937C22semidirect
67. C2×#66936C22semidirect
68. C2×#66936C22semidirect
74. C2×(C22⋊D11)⋊C4C22semidirect
79. C2×#66932C22semidirect
80. C2×#66929C22semidirect
81. C2×#66928C22semidirect
84. C2×C42×D11C22semidirect
85. C11×#396C22semidirect
86. C11×#396C22semidirect
87. C11×#395C22semidirect
89. C11×#394C22semidirect
90. C11×#394C22semidirect
91. C11×#393C22semidirect
94. C11×#390C22semidirect
95. C11×#388C22semidirect
96. C11×#388C22semidirect
97. C4×C11×C4⋊C4C22semidirect
101. #10622833C22semidirect
102. #10622607C22semidirect
103. #10622607C22semidirect
105. #10622604C22semidirect
106. #10622604C22semidirect
107. #10622603C22semidirect
108. #10622603C22semidirect
109. #10622603C22semidirect
110. #10622603C22semidirect
113. #10622597C22semidirect
114. #10622589C22semidirect
115. C4⋊C4×Dic11C22semidirect
116. C4⋊C4×Dic11C22semidirect
117. #10622585C22semidirect
118. #10622585C22semidirect
119. #10622585C22semidirect
120. #10622574C22semidirect
121. #10622574C22semidirect
123. #10622573C22semidirect
124. #10622573C22semidirect
125. #10622572C22semidirect
126. #10622572C22semidirect
127. #10622571C22semidirect
136. #10622570C22semidirect
137. #10622570C22semidirect
138. #10622570C22semidirect
139. #10622570C22semidirect
140. #10622570C22semidirect
141. #10622570C22semidirect
142. #10622570C22semidirect
143. #10622570C22semidirect
146. #10622569C22semidirect
147. #10622569C22semidirect
150. #10622565C22semidirect
151. #10622564C22semidirect
152. #10622558C22semidirect
153. #10622558C22semidirect
154. #10622558C22semidirect
155. #10622558C22semidirect
156. #10622557C22semidirect
157. C22⋊C4×Dic11C22semidirect
158. #10622553C22semidirect
159. #10622553C22semidirect
161. #10622552C22semidirect
163. C4×(C2×D11)⋊C4C22semidirect
164. C42×Dic11C22semidirect
165. #10622288C22semidirect
166. #10622286C22semidirect
167. #10622285C22semidirect
168. #10622285C22semidirect
171. #10622283C22semidirect
172. #10622282C22semidirect
175. #10622280C22semidirect
178. #10622279C22semidirect
179. #10622279C22semidirect
180. #10622279C22semidirect
183. #10622278C22semidirect
184. #10622278C22semidirect
185. #10622270C22semidirect
186. #10622269C22semidirect
187. #10622262C22semidirect
188. #10622260C22semidirect
374. C4×D44D4semidirect
541. C2×C4×D11C2×D4semidirect
570. C42×C11C2×D4semidirect
614. (C2×D11)⋊C4C2×D4semidirect
619. C4⋊Dic11C2×D4semidirect
652. #2662D11semidirect
859. C2×#126C2×D11semidirect
865. C2×#124C2×D11semidirect
909. #396C2×D11semidirect
910. #396C2×D11semidirect
912. #395C2×D11semidirect
923. #394C2×D11semidirect
924. #394C2×D11semidirect
926. #393C2×D11semidirect
956. #390C2×D11semidirect
975. #388C2×D11semidirect
976. #388C2×D11semidirect
997. C4×C4⋊C4C2×D11semidirect
1094. Dic11#538semidirect
1564. C42D4×D11semidirect
1565. C11#35007semidirect

Maximal subgroups

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

subgroupindex
C2×#106232352
C2×#106232092
#130769812
#130769712
#130769602
#130769432
#130747532
#130747482
#130747462
#130736912
#130736862
#130736712
#130736692
#130731952
#130729742
#130727452
#130727372
#130723742
#130723112
#130722482
#130721992
#130721472
#130721452
#130720512
#130719672
#130712752
#130712692
#130711282
D11×#3902
C4×#669462
C11×#26622
#3500711