Finite Group Databasebeta

← #14961280

Subgroups — #14961280

Order 2816.

2440 conjugacy classes of subgroups.

The subgroup lattice has 1800 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623194C211yesmaximal, characteristic, complemented
2C2×#10623144C211yesmaximal, characteristic, complemented
3#13076959C211yesmaximal, characteristic, complemented
4#13076945C211yesmaximal, characteristic, complemented
5#13075510C211yesmaximal, characteristic, complemented
6#13075411C211yesmaximal, characteristic, complemented
7#13075135C211yesmaximal, characteristic, complemented
8#13074961C211yesmaximal, characteristic, complemented
9#13074952C211yesmaximal, characteristic, complemented
10#13074934C211yesmaximal, characteristic, complemented
11#13074910C211yesmaximal, characteristic, complemented
12#13074905C211yesmaximal, characteristic, complemented
13#13074884C211yesmaximal, characteristic, complemented
14#13074881C211yesmaximal, characteristic, complemented
15#13074860C211yesmaximal, characteristic, complemented
16#13074851C211yesmaximal, characteristic, complemented
17#13074845C211yesmaximal, characteristic, complemented
18#13074832C211yesmaximal, characteristic, complemented
19#13074827C211yesmaximal, characteristic, complemented
20#13074823C211yesmaximal, characteristic, complemented
21#13074742C211yesmaximal, characteristic, complemented
22#13074302C211yesmaximal, characteristic, complemented
23#13074239C211yesmaximal, characteristic, complemented
24#13074233C211yesmaximal, characteristic, complemented
25#13074220C211yesmaximal, characteristic, complemented
26#13073553C211yesmaximal, characteristic, complemented
27#13073545C211yesmaximal, characteristic, complemented
28#13072031C211yesmaximal, characteristic, complemented
29#13072000C211yesmaximal, characteristic, complemented
30#13071055C211yesmaximal, characteristic, complemented
31C11×#2661C211yesmaximal, characteristic, complemented
32C2×C11×#123C2211yescharacteristic, complemented
33C2×C11×#121C2211yescharacteristic
34C2×#66993C2211yescharacteristic
35C2×#66993C2211yescharacteristic
36C2×#66992C2211yescharacteristic
37C2×#66992C2211yescharacteristic
38C2×#66992C2211yescharacteristic
39C2×#66992C2211yescharacteristic
40C2×#66992C2211yescharacteristic
41C2×#66992C2211yescharacteristic, complemented
42C2×#66992C2211yescharacteristic, complemented
43C2×#66992C2211yescharacteristic, complemented
44C2×#66992C2211yescharacteristic, complemented
45C2×#66991C2211yescharacteristic
46C2×#66990C2211yescharacteristic
47C2×#66990C2211yescharacteristic
48C2×#66990C2211yescharacteristic
49C2×#66989C2211yescharacteristic
50C2×#66988C2211yescharacteristic
51C2×#66983C2211yescharacteristic, complemented
52C2×#66982C2211yescharacteristic
53C2×C4×C22⋊D11C2211yescharacteristic
54C22×C4×Dic11C2211yescharacteristic, complemented
55#10623194—28no—
56#10623144—28no—
57C2×#66951C2211yescharacteristic
58C2×#66949C2211yescharacteristic
59C2×#66949C2211yescharacteristic, complemented
60C2×#66948C2211yescharacteristic
61C2×#66947C2211yescharacteristic
62C2×#66947C2211yescharacteristic
63C2×#66945C2211yescharacteristic, complemented
64C2×#66942C2211yescharacteristic, complemented
65C2×#66939C2211yescharacteristic
66C2×#66938C2211yescharacteristic
67C2×#66937C2211yescharacteristic
68C2×#66937C2211yescharacteristic
69C2×#66937C2211yescharacteristic
70C2×#66937C2211yescharacteristic, complemented
71C2×#66936C2211yescharacteristic
72C2×#66936C2211yescharacteristic, complemented
73C2×#66935C2211yescharacteristic
74C2×#66935C2211yescharacteristic
75C2×(C22⋊D11)⋊C4C2211yescharacteristic
76C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
77C2×C22⋊C4×D11C2211yescharacteristic
78C2×#66932C2211yescharacteristic
79C2×#66931C2211yescharacteristic, complemented
80C2×#66925C2211yescharacteristic
81C11×#398C2211yescharacteristic, complemented
82C11×#397C2211yescharacteristic, complemented
83C11×#394C2211yescharacteristic
84C11×#394C2211yescharacteristic
85C11×#394C2211yescharacteristic, complemented
86C11×#392C2211yescharacteristic
87C11×#392C2211yescharacteristic
88C11×#392C2211yescharacteristic, complemented
89C11×#390C2211yescharacteristic
90C11×#390C2211yescharacteristic, complemented
91C11×#388C2211yescharacteristic
92C11×#388C2211yescharacteristic, complemented
93C4×C11×C22⋊C4C2211yescharacteristic, complemented
94#10622836C2211yescharacteristic
95#10622836C2211yescharacteristic
96#10622836C2211yescharacteristic
97#10622836C2211yescharacteristic, complemented
98#10622834C2211yescharacteristic
99#10622833C2211yescharacteristic
100#10622833C2211yescharacteristic, complemented
101#10622605C2211yescharacteristic
102#10622605C2211yescharacteristic
103#10622604C2211yescharacteristic
104#10622603C2211yescharacteristic
105#10622603C2211yescharacteristic
106#10622602C2211yescharacteristic, complemented
107#10622601C2211yescharacteristic, complemented
108#10622597C2211yescharacteristic, complemented
109#10622589C2211yescharacteristic, complemented
110#10622585C2211yescharacteristic, complemented
111#10622585C2211yescharacteristic, complemented
112#10622585C2211yescharacteristic, complemented
113#10622574C2211yescharacteristic
114#10622574C2211yescharacteristic, complemented
115#10622574C2211yescharacteristic, complemented
116#10622574C2211yescharacteristic, complemented
117#10622573C2211yescharacteristic
118#10622573C2211yescharacteristic
119#10622573C2211yescharacteristic
120#10622573C2211yescharacteristic
121#10622573C2211yescharacteristic
122#10622573C2211yescharacteristic
123#10622573C2211yescharacteristic
124#10622572C2211yescharacteristic
125#10622572C2211yescharacteristic
126#10622572C2211yescharacteristic
127#10622572C2211yescharacteristic
128#10622571C2211yescharacteristic
129#10622571C2211yescharacteristic
130#10622571C2211yescharacteristic
131#10622571C2211yescharacteristic, complemented
132#10622570C2211yescharacteristic
133#10622570C2211yescharacteristic
134#10622570C2211yescharacteristic
135#10622570C2211yescharacteristic
136#10622570C2211yescharacteristic, complemented
137#10622570C2211yescharacteristic, complemented
138#10622570C2211yescharacteristic, complemented
139#10622569C2211yescharacteristic
140#10622569C2211yescharacteristic
141#10622569C2211yescharacteristic, complemented
142#10622568C2211yescharacteristic
143#10622565C2211yescharacteristic
144#10622564C2211yescharacteristic, complemented
145#10622562C2211yescharacteristic
146#10622562C2211yescharacteristic, complemented
147#10622561C2211yescharacteristic
148#10622561C2211yescharacteristic
149#10622559C2211yescharacteristic, complemented
150#10622559C2211yescharacteristic, complemented
151#10622559C2211yescharacteristic, complemented
152#10622559C2211yescharacteristic, complemented
153#10622558C2211yescharacteristic
154#10622558C2211yescharacteristic, complemented
155#10622558C2211yescharacteristic, complemented
156#10622555C2211yescharacteristic, complemented
157#10622555C2211yescharacteristic, complemented
158#10622553C2211yescharacteristic, complemented
159#10622553C2211yescharacteristic, complemented
160#10622552C2211yescharacteristic
161#10622552C2211yescharacteristic
162C4×(C2×D11)⋊C4C2211yescharacteristic
163#10622545C2211yescharacteristic, complemented
164C4×Dic11⋊C4C2211yescharacteristic, complemented
165#10622289C2211yescharacteristic
166#10622289C2211yescharacteristic, complemented
167#10622288C2211yescharacteristic
168#10622287C2211yescharacteristic
169#10622286C2211yescharacteristic, complemented
170#10622285C2211yescharacteristic
171#10622285C2211yescharacteristic
172#10622285C2211yescharacteristic, complemented
173#10622284C2211yescharacteristic
174#10622282C2211yescharacteristic
175#10622282C2211yescharacteristic
176#10622282C2211yescharacteristic
177#10622282C2211yescharacteristic, complemented
178#10622281C2211yescharacteristic
179#10622281C2211yescharacteristic, complemented
180#10622278C2211yescharacteristic
181#10622278C2211yescharacteristic
182#10622274C2211yescharacteristic, complemented
183#10622270C2211yescharacteristic, complemented
184#10622269C2211yescharacteristic, complemented
185#10622268C2211yescharacteristic, complemented
186#10622265C2211yescharacteristic, complemented
187#10622265C2211yescharacteristic, complemented
188#10622265C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C22×D4×C11C2311yescharacteristic
195C22×D4×C11C2311yescharacteristic
196C23×C4×C11C2311yescharacteristic
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
206C22×C22⋊D11C2311yescharacteristic
207C22×C22⋊D11C2311yescharacteristic
208C22×C22⋊D11C2311yescharacteristic
209C22×C22⋊D11C2311yescharacteristic
210C22×C22⋊D11C2311yescharacteristic
211C23×Dic11C2311yescharacteristic
212C23×Dic11C2311yescharacteristic
213C23×Dic11C2311yescharacteristic
214C23×Dic11C2311yescharacteristic
215C22×D44C2311yescharacteristic
216C22×D44C2311yescharacteristic
217C22×D44C2311yescharacteristic
218C22×D44C2311yescharacteristic
219C22×D44C2311yescharacteristic
220C22×C4×D11C2311yescharacteristic
221C22×C4×D11C2311yescharacteristic
222C22×C4×D11C2311yescharacteristic
223C22×C4×D11C2311yescharacteristic
224C22×Dic22C2311yescharacteristic
225C11×#123—24no—
226C11×#121—24no—
227C2×C11×C4⋊C4C2311yescharacteristic
228C2×C11×C4⋊C4C2311yescharacteristic
229C2×C11×C4⋊C4C2311yescharacteristic
230C2×C11×C4⋊C4C2311yescharacteristic
231C2×C11×C4⋊C4C2311yescharacteristic
232C2×C11×C22⋊C4C2311yescharacteristic
233C2×C11×C22⋊C4C2311yescharacteristic
234C2×C11×C22⋊C4C2311yescharacteristic
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×C42×C11C2311yescharacteristic
248C2×C42×C11C2311yescharacteristic
249C2×C22⋊Dic11C2311yescharacteristic
250C2×C22⋊Dic11C2311yescharacteristic
251C2×C22⋊Dic11C2311yescharacteristic
252C2×C22⋊Dic11C2311yescharacteristic
253C2×C22⋊Dic11C2311yescharacteristic
254C2×C22⋊Dic11C2311yescharacteristic
255C2×C22⋊Dic11C2311yescharacteristic
256C2×C22⋊Dic11C2311yescharacteristic
257C2×C22⋊Dic11C2311yescharacteristic
258C2×C22⋊Dic11C2311yescharacteristic
259C2×C22⋊Dic11C2311yescharacteristic
260C2×C22⋊Dic11C2311yescharacteristic
261C2×C22⋊Dic11C2311yescharacteristic
262#66993—24no—
263#66993—42no—
264#66992—24no—
265#66992—24no—
266#66992—42no—
267#66992—42no—
268#66992—42no—
269#66992—42no—
270#66992—42no—
271#66992—42no—
272#66992—42no—
273#66991—24no—
274#66990—24no—
275#66990—24no—
276#66990—42no—
277#66989—24no—
278#66988—24no—
279#66983—24no—
280#66982—24no—
281C4×C22⋊D11D418yescomplemented
282C2×(C2×D11)⋊C4C2311yescharacteristic
283C2×(C2×D11)⋊C4C2311yescharacteristic
284C2×(C2×D11)⋊C4C2311yescharacteristic
285C2×(C2×D11)⋊C4C2311yescharacteristic
286C2×(C2×D11)⋊C4C2311yescharacteristic
287C2×(C2×D11)⋊C4C2311yescharacteristic
288C2×(C2×D11)⋊C4C2311yescharacteristic
289C2×(C2×D11)⋊C4C2311yescharacteristic
290C2×(C2×D11)⋊C4C2311yescharacteristic
291C2×(C2×D11)⋊C4C2311yescharacteristic
292C2×(C2×D11)⋊C4C2311yescharacteristic
293C2×(C2×D11)⋊C4C2311yescharacteristic
294C2×(C2×D11)⋊C4C2311yescharacteristic
295C2×(C2×D11)⋊C4C2311yescharacteristic
296C2×(C2×D11)⋊C4C2311yescharacteristic
297C2×(C2×D11)⋊C4C2311yescharacteristic
298C2×(C2×D11)⋊C4C2311yescharacteristic
299C2×(C2×D11)⋊C4C2311yescharacteristic
300C2×(C2×D11)⋊C4C2311yescharacteristic
301C2×(C2×D11)⋊C4C2311yescharacteristic
302C2×(C2×D11)⋊C4C2311yescharacteristic
303C2×(C2×D11)⋊C4C2311yescharacteristic
304C2×(C2×D11)⋊C4C2311yescharacteristic
305C2×(C2×D11)⋊C4C2311yescharacteristic
306C2×(C2×D11)⋊C4C2311yescharacteristic
307C2×(C2×D11)⋊C4C2311yescharacteristic
308C2×(C2×D11)⋊C4C2311yescharacteristic
309C2×(C2×D11)⋊C4C2311yescharacteristic
310C2×(C2×D11)⋊C4C2311yescharacteristic
311C2×(C2×D11)⋊C4C2311yescharacteristic
312C2×C4⋊Dic11C2311yescharacteristic
313C2×C4⋊Dic11C2311yescharacteristic
314C2×C4⋊Dic11C2311yescharacteristic
315C2×C4⋊Dic11C2311yescharacteristic
316C2×C4⋊Dic11C2311yescharacteristic
317C2×Dic11⋊C4C2311yescharacteristic
318C2×Dic11⋊C4C2311yescharacteristic
319C2×Dic11⋊C4C2311yescharacteristic
320C2×Dic11⋊C4C2311yescharacteristic
321C2×Dic11⋊C4C2311yescharacteristic
322C2×Dic11⋊C4C2311yescharacteristic
323C2×Dic11⋊C4C2311yescharacteristic
324C2×Dic11⋊C4C2311yescharacteristic
325C2×Dic11⋊C4C2311yescharacteristic
326C2×Dic11⋊C4C2311yescharacteristic
327C2×Dic11⋊C4C2311yescharacteristic
328C2×Dic11⋊C4C2311yescharacteristic
329C2×Dic11⋊C4C2311yescharacteristic
330C2×Dic11⋊C4C2311yescharacteristic
331C2×Dic11⋊C4C2311yescharacteristic
332C2×Dic11⋊C4C2311yescharacteristic
333C2×Dic11⋊C4C2311yescharacteristic
334C2×Dic11⋊C4C2311yescharacteristic
335C2×C4×Dic11—42no—
336C2×C4×Dic11C2311yescharacteristic
337C2×C4×Dic11C2311yescharacteristic
338C2×C4×Dic11C2311yescharacteristic
339C2×C4×Dic11C2311yescharacteristic
340C2×C4×Dic11C2311yescharacteristic
341C2×C4×Dic11C2311yescharacteristic
342C2×C4×Dic11C2311yescharacteristic
343#66951—24no—
344#66949—24no—
345#66949—42no—
346#66948—24no—
347#66947—24no—
348#66947—42no—
349#66945—24no—
350#66942—24no—
351#66939—24no—
352#66938—24no—
353#66937—24no—
354#66937—24no—
355#66937—24no—
356#66937—42no—
357#66936—24no—
358#66936—42no—
359#66935—42no—
360#66935—42no—
361(C22⋊D11)⋊C4—24no—
362(C22⋊D11)⋊C4—24no—
363C22⋊C4×D11—24no—
364#66932—24no—
365#66931—42no—
366#66925—42no—
367C11×#95C2311yescharacteristic
368C11×#95C2311yescharacteristic
369C11×#95C2311yescharacteristic
370C11×#95C2311yescharacteristic
371C11×#95C2311yescharacteristic
372C11×#95C2311yescharacteristic
373C11⋊#95C2311yescharacteristic
374C11⋊#95C2311yescharacteristic
375C11⋊#95C2311yescharacteristic
376C11⋊#95C2311yescharacteristic
377C11⋊#95C2311yescharacteristic
378C11⋊#95C2311yescharacteristic
379C11⋊#95C2311yescharacteristic
380C11⋊#95C2311yescharacteristic
381C11⋊#95C2311yescharacteristic
382C11⋊#95C2311yescharacteristic
383C11⋊#95C2311yescharacteristic
384C11⋊#95C2311yescharacteristic
385C11⋊#95C2311yescharacteristic
386C11⋊#95C2311yescharacteristic
387C11⋊#95C2311yescharacteristic
388C11⋊#95C2311yescharacteristic
389C11⋊#95C2311yescharacteristic
390C11⋊#95C2311yescharacteristic
391#36744—111nomaximal, Sylow
392C24×C11C2411yescharacteristic
393C24×C11C2411yescharacteristic
394C24×C11C2411yescharacteristic
395C24×C11C2411yescharacteristic
396C23×D11—22no—
397C23×D11—41no—
398C23×D11—41no—
399C23×D11—41no—
400C23×D11—41no—
401C23×D11—41no—
402C23×D11—41no—
403C23×D11C2411yescharacteristic
404C23×D11C2411yescharacteristic
405C23×D11C2411yescharacteristic
406C23×D11C2411yescharacteristic
407C2×D4×C11—22no—
408C2×D4×C11—22no—
409C2×D4×C11—22no—
410C2×D4×C11—22no—
411C2×D4×C11—41no—
412C2×D4×C11—41no—
413C2×D4×C11—41no—
414C2×D4×C11—41no—
415C2×D4×C11—41no—
416C2×D4×C11—41no—
417C2×D4×C11—41no—
418C2×D4×C11—41no—
419C2×D4×C11—41no—
420C2×D4×C11—41no—
421C2×D4×C11—41no—
422C2×D4×C11—41no—
423C2×D4×C11—41no—
424C2×D4×C11—41no—
425C22×C4×C11—41no—
426C22×C4×C11—41no—
427C22×C4×C11C2×D414yes—
428C22×C4×C11C2411yescharacteristic
429C22×C4×C11C2411yescharacteristic
430C22×C4×C11C2411yescharacteristic
431C22×C4×C11C2411yescharacteristic
432C22×C4×C11C2411yescharacteristic
433C22×C4×C11C2411yescharacteristic
434C22×C4×C11C2411yescharacteristic
435C22×C4×C11C2411yescharacteristic
436C22×C4×C11C2411yescharacteristic
437C22×C4×C11C2411yescharacteristic
438C22×C4×C11C2411yescharacteristic
439C2×C22⋊D11—22no—
440C2×C22⋊D11—22no—
441C2×C22⋊D11—22no—
442C2×C22⋊D11—22no—
443C2×C22⋊D11—22no—
444C2×C22⋊D11—22no—
445C2×C22⋊D11—22no—
446C2×C22⋊D11—22no—
447C2×C22⋊D11—22no—
448C2×C22⋊D11—22no—
449C2×C22⋊D11—22no—
450C2×C22⋊D11—22no—
451C2×C22⋊D11—22no—
452C2×C22⋊D11—41no—
453C2×C22⋊D11—41no—
454C2×C22⋊D11—41no—
455C2×C22⋊D11—41no—
456C2×C22⋊D11—41no—
457C2×C22⋊D11—41no—
458C2×C22⋊D11—41no—
459C2×C22⋊D11—41no—
460C2×C22⋊D11—41no—
461C2×C22⋊D11—41no—
462C2×C22⋊D11—41no—
463C2×C22⋊D11—41no—
464C2×C22⋊D11—41no—
465C2×C22⋊D11—41no—
466C2×C22⋊D11—41no—
467C2×C22⋊D11—41no—
468C2×C22⋊D11—41no—
469C2×C22⋊D11—41no—
470C2×C22⋊D11—41no—
471C2×C22⋊D11—41no—
472C2×C22⋊D11—41no—
473C2×C22⋊D11—41no—
474C2×C22⋊D11—41no—
475C2×C22⋊D11—41no—
476C2×C22⋊D11—41no—
477C2×C22⋊D11—41no—
478C2×C22⋊D11—41no—
479C2×C22⋊D11—41no—
480C2×C22⋊D11C2×D414yes—
481C22×Dic11—22no—
482C22×Dic11—22no—
483C22×Dic11—22no—
484C22×Dic11—22no—
485C22×Dic11—22no—
486C22×Dic11—41no—
487C22×Dic11—41no—
488C22×Dic11—41no—
489C22×Dic11—41no—
490C22×Dic11—41no—
491C22×Dic11—41no—
492C22×Dic11—41no—
493C22×Dic11C2411yescharacteristic
494C22×Dic11C2411yescharacteristic
495C22×Dic11C2411yescharacteristic
496C22×Dic11C2411yescharacteristic
497C22×Dic11C2411yescharacteristic
498C22×Dic11C2411yescharacteristic
499C22×Dic11C2411yescharacteristic
500C22×Dic11C2411yescharacteristic
501C22×Dic11C2411yescharacteristic
502C22×Dic11C2411yescharacteristic
503C22×Dic11C2411yescharacteristic
504C22×Dic11C2411yescharacteristic
505C2×D44—22no—
506C2×D44—22no—
507C2×D44—22no—
508C2×D44—41no—
509C2×D44—41no—
510C2×D44—41no—
511C2×D44—41no—
512C2×D44—41no—
513C2×D44—41no—
514C2×D44—41no—
515C2×D44—41no—
516C2×D44—41no—
517C2×D44—41no—
518C2×D44—41no—
519C2×D44—41no—
520C2×C4×D11—22no—
521C2×C4×D11—22no—
522C2×C4×D11—22no—
523C2×C4×D11—41no—
524C2×C4×D11—41no—
525C2×C4×D11—41no—
526C2×C4×D11—41no—
527C2×C4×D11—41no—
528C2×C4×D11—41no—
529C2×C4×D11—41no—
530C2×C4×D11—41no—
531C2×C4×D11C2×D414yes—
532C2×Dic22—22no—
533C2×Dic22—41no—
534C2×Dic22—41no—
535C11×C4⋊C4—22no—
536C11×C4⋊C4—22no—
537C11×C4⋊C4—22no—
538C11×C4⋊C4—41no—
539C11×C4⋊C4—41no—
540C11×C22⋊C4—22no—
541C11×C22⋊C4—22no—
542C11×C22⋊C4—22no—
543C11×C22⋊C4—22no—
544C11×C22⋊C4—22no—
545C11×C22⋊C4—41no—
546C11×C22⋊C4—41no—
547C11×C22⋊C4—41no—
548C11×C22⋊C4—41no—
549C11×C22⋊C4—41no—
550C11×C22⋊C4—41no—
551C11×C22⋊C4—41no—
552C11×C22⋊C4—41no—
553C11×C22⋊C4—41no—
554C11×C22⋊C4—41no—
555C42×C11—41no—
556C42×C11—41no—
557C22⋊Dic11—22no—
558C22⋊Dic11—22no—
559C22⋊Dic11—22no—
560C22⋊Dic11—22no—
561C22⋊Dic11—22no—
562C22⋊Dic11—22no—
563C22⋊Dic11—22no—
564C22⋊Dic11—22no—
565C22⋊Dic11—22no—
566C22⋊Dic11—41no—
567C22⋊Dic11—41no—
568C22⋊Dic11—41no—
569C22⋊Dic11C2×D414yes—
570(C2×D11)⋊C4—22no—
571(C2×D11)⋊C4—22no—
572(C2×D11)⋊C4—22no—
573(C2×D11)⋊C4—22no—
574(C2×D11)⋊C4—22no—
575(C2×D11)⋊C4—22no—
576(C2×D11)⋊C4—22no—
577(C2×D11)⋊C4—22no—
578(C2×D11)⋊C4—22no—
579(C2×D11)⋊C4—22no—
580(C2×D11)⋊C4—22no—
581(C2×D11)⋊C4—22no—
582(C2×D11)⋊C4—22no—
583(C2×D11)⋊C4—22no—
584(C2×D11)⋊C4—22no—
585(C2×D11)⋊C4—22no—
586(C2×D11)⋊C4—22no—
587(C2×D11)⋊C4—41no—
588(C2×D11)⋊C4—41no—
589(C2×D11)⋊C4—41no—
590(C2×D11)⋊C4—41no—
591(C2×D11)⋊C4—41no—
592(C2×D11)⋊C4—41no—
593(C2×D11)⋊C4—41no—
594(C2×D11)⋊C4—41no—
595(C2×D11)⋊C4—41no—
596(C2×D11)⋊C4—41no—
597(C2×D11)⋊C4—41no—
598(C2×D11)⋊C4—41no—
599(C2×D11)⋊C4C2×D414yes—
600C4⋊Dic11—22no—
601C4⋊Dic11—22no—
602C4⋊Dic11—22no—
603C4⋊Dic11—41no—
604C4⋊Dic11—41no—
605Dic11⋊C4—22no—
606Dic11⋊C4—22no—
607Dic11⋊C4—22no—
608Dic11⋊C4—22no—
609Dic11⋊C4—22no—
610Dic11⋊C4—22no—
611Dic11⋊C4—22no—
612Dic11⋊C4—22no—
613Dic11⋊C4—22no—
614Dic11⋊C4—22no—
615Dic11⋊C4—22no—
616Dic11⋊C4—22no—
617Dic11⋊C4—41no—
618Dic11⋊C4—41no—
619Dic11⋊C4—41no—
620Dic11⋊C4—41no—
621Dic11⋊C4—41no—
622Dic11⋊C4C2×D414yes—
623C4×Dic11—22no—
624C4×Dic11—22no—
625C4×Dic11—22no—
626C4×Dic11—22no—
627C4×Dic11—41no—
628C4×Dic11—41no—
629C4×Dic11C2×D414yes—
630C2×#540—111no—
631C2×#538—111no—
632#2856—111no—
633#2854—111no—
634#2721—111no—
635#2714—111no—
636#2694—111no—
637#2681—111no—
638#2680—111no—
639#2678—111no—
640#2676—111no—
641#2675—111no—
642#2673—111no—
643#2673—111no—
644#2672—111no—
645#2671—111no—
646#2671—111no—
647#2669—111no—
648#2669—111no—
649#2668—111no—
650#2661—111no—
651#2661D1111yescharacteristic, complemented
652#2610—111no—
653#2603—111no—
654#2602—111no—
655#2601—111no—
656#2540—111no—
657#2539—111no—
658#2414—111no—
659#2411—111no—
660#2290—111no—
661C23×C11—21no—
662C23×C11—21no—
663C23×C11—21no—
664C23×C11—21no—
665C23×C11—21no—
666C23×C11—21no—
667C23×C11—21no—
668C23×C11—21no—
669C23×C11—21no—
670C23×C11—21no—
671C23×C11—21no—
672C23×C11—21no—
673C23×C11—21no—
674C23×C11—21no—
675C23×C11—21no—
676C23×C11—21no—
677C23×C11—21no—
678C23×C11—21no—
679C23×C11—21no—
680C23×C11—21no—
681C23×C11—21no—
682C23×C11—21no—
683C23×C11—21no—
684C23×C11—21no—
685C23×C11—21no—
686C23×C11—21no—
687C23×C11—21no—
688C23×C11C22×D412yes—
689C23×C11C2511yescharacteristic
690C22×D11—21no—
691C22×D11—21no—
692C22×D11—21no—
693C22×D11—21no—
694C22×D11—21no—
695C22×D11—21no—
696C22×D11—21no—
697C22×D11—21no—
698C22×D11—21no—
699C22×D11—21no—
700C22×D11—21no—
701C22×D11—21no—
702C22×D11—21no—
703C22×D11—21no—
704C22×D11—21no—
705C22×D11—21no—
706C22×D11—21no—
707C22×D11—21no—
708C22×D11—21no—
709C22×D11—21no—
710C22×D11—21no—
711C22×D11—21no—
712C22×D11—21no—
713C22×D11—21no—
714C22×D11—21no—
715C22×D11—21no—
716C22×D11—21no—
717C22×D11—44no—
718C22×D11—82no—
719C22×D11—82no—
720C22×D11—82no—
721C22×D11—82no—
722C22×D11—82no—
723C22×D11—82no—
724C22×D11C22×D412yes—
725D4×C11—82no—
726D4×C11—82no—
727D4×C11—82no—
728D4×C11—82no—
729D4×C11—82no—
730D4×C11—82no—
731C2×C4×C11—21no—
732C2×C4×C11—21no—
733C2×C4×C11—21no—
734C2×C4×C11—21no—
735C2×C4×C11—21no—
736C2×C4×C11—21no—
737C2×C4×C11—21no—
738C2×C4×C11—21no—
739C2×C4×C11—21no—
740C2×C4×C11—21no—
741C2×C4×C11—21no—
742C2×C4×C11—21no—
743C2×C4×C11—21no—
744C2×C4×C11—21no—
745C2×C4×C11—21no—
746C2×C4×C11—21no—
747C2×C4×C11—21no—
748C2×C4×C11—21no—
749C2×C4×C11—21no—
750C2×C4×C11—21no—
751C2×C4×C11—21no—
752C2×C4×C11—21no—
753C2×C4×C11—21no—
754C2×C4×C11—21no—
755C2×C4×C11—21no—
756C2×C4×C11—21no—
757C2×C4×C11—21no—
758C2×C4×C11—21no—
759C2×C4×C11—21no—
760C2×C4×C11—21no—
761C2×C4×C11—21no—
762C2×C4×C11—44no—
763C2×C4×C11C22×D412yes—
764C2×C4×C11C22×D412yes—
765C22⋊D11—44no—
766C22⋊D11—44no—
767C22⋊D11—44no—
768C22⋊D11—82no—
769C22⋊D11—82no—
770C22⋊D11—82no—
771C22⋊D11—82no—
772C22⋊D11—82no—
773C22⋊D11—82no—
774C22⋊D11—82no—
775C22⋊D11—82no—
776C22⋊D11—82no—
777C22⋊D11—82no—
778C22⋊D11—82no—
779C2×Dic11—21no—
780C2×Dic11—21no—
781C2×Dic11—21no—
782C2×Dic11—21no—
783C2×Dic11—21no—
784C2×Dic11—21no—
785C2×Dic11—21no—
786C2×Dic11—21no—
787C2×Dic11—21no—
788C2×Dic11—21no—
789C2×Dic11—21no—
790C2×Dic11—21no—
791C2×Dic11—21no—
792C2×Dic11—21no—
793C2×Dic11—21no—
794C2×Dic11—21no—
795C2×Dic11—21no—
796C2×Dic11—21no—
797C2×Dic11—21no—
798C2×Dic11—21no—
799C2×Dic11—21no—
800C2×Dic11—21no—
801C2×Dic11—21no—
802C2×Dic11—21no—
803C2×Dic11—21no—
804C2×Dic11—21no—
805C2×Dic11—21no—
806C2×Dic11—21no—
807C2×Dic11—21no—
808C2×Dic11—21no—
809C2×Dic11—44no—
810C2×Dic11—44no—
811C2×Dic11—82no—
812C2×Dic11—82no—
813C2×Dic11C22×D412yes—
814C2×Dic11C22×D412yes—
815C2×Dic11C22×D412yes—
816C2×Dic11H(5,𝔽2)12yes—
817C2×Dic11H(5,𝔽2)12yes—
818C2×Dic11H(5,𝔽2)12yes—
819D44—82no—
820D44—82no—
821D44—82no—
822D44—82no—
823D44—82no—
824C4×D11—44no—
825C4×D11—44no—
826C4×D11—82no—
827C4×D11—82no—
828Dic22—82no—
829#540—228no—
830#538—228no—
831C2×#127—111no—
832C2×#127—111no—
833C2×#126—111no—
834C2×#126—111no—
835C2×#125—111no—
836C2×#124—111no—
837C2×#124—111no—
838C2×#123—111no—
839C2×#123—111no—
840C2×#123—111no—
841C2×#123—111no—
842C2×#123—111no—
843C2×#123—111no—
844C2×#123—111no—
845C2×#123C2×D1111yescharacteristic, complemented
846C2×C22⋊Q8—111no—
847C2×C22⋊Q8—111no—
848C2×C22⋊Q8—111no—
849C2×#121—111no—
850C2×#121—111no—
851C2×#121—111no—
852C2×#121—111no—
853C2×#121—111no—
854C2×#121—111no—
855C2×#121—111no—
856C2×#121—111no—
857C2×#121—111no—
858C2×#121—111no—
859C2×#121—111no—
860C2×#121—111no—
861C2×#121—111no—
862C2×#121—111no—
863C2×#121—111no—
864C2×#121—111no—
865C2×#121C2×D1111yescharacteristic
866C2×#120—111no—
867C2×#120—111no—
868C2×#120—111no—
869C2×#120—111no—
870C2×#120—111no—
871C2×C4×D4—111no—
872C2×C4×D4—111no—
873C2×C4×D4—111no—
874C2×#117—111no—
875C2×#117—111no—
876C22×C22⋊C4—111no—
877C22×C42—111no—
878#399—111no—
879#399—111no—
880#399—111no—
881#399—111no—
882#398—111no—
883#398—111no—
884#398—111no—
885#398C2×D1111yescharacteristic, complemented
886#397—111no—
887#397—111no—
888#397—111no—
889#397C2×D1111yescharacteristic, complemented
890#396—111no—
891#396—111no—
892#396—111no—
893#396—111no—
894#395—111no—
895#394—111no—
896#394—111no—
897#394—111no—
898#394—111no—
899#394—111no—
900#394—111no—
901#394—111no—
902#394—111no—
903#394—111no—
904#394—111no—
905#394—111no—
906#394—111no—
907#394C2×D1111yescharacteristic
908#394C2×D1111yescharacteristic
909#394C2×D1111yescharacteristic, complemented
910#393—111no—
911#392—111no—
912#392—111no—
913#392—111no—
914#392—111no—
915#392—111no—
916#392—111no—
917#392—111no—
918#392—111no—
919#392—111no—
920#392—111no—
921#392—111no—
922#392—111no—
923#392C2×D1111yescharacteristic
924#392C2×D1111yescharacteristic
925#392C2×D1111yescharacteristic, complemented
926#390—111no—
927#390—111no—
928#390—111no—
929#390—111no—
930#390—111no—
931#390—111no—
932#390—111no—
933#390—111no—
934#390—111no—
935#390—111no—
936#390—111no—
937#390C2×D1111yescharacteristic
938#390C2×D1111yescharacteristic, complemented
939#389—111no—
940#389—111no—
941#389—111no—
942#388—111no—
943#388—111no—
944#388—111no—
945#388—111no—
946#388—111no—
947#388—111no—
948#388—111no—
949#388—111no—
950#388—111no—
951#388—111no—
952#388—111no—
953#388—111no—
954#388C2×D1111yescharacteristic
955#388C2×D1111yescharacteristic, complemented
956#387—111no—
957#387—111no—
958#387—111no—
959#387—111no—
960#386—111no—
961#386—111no—
962#386—111no—
963#386—111no—
964#386—111no—
965#386—111no—
966#386—111no—
967#386—111no—
968#386—111no—
969#386—111no—
970#386—111no—
971#385—111no—
972#385—111no—
973#385—111no—
974#385—111no—
975#385—111no—
976#385—111no—
977#385—111no—
978#384—111no—
979#380—111no—
980#380—111no—
981#379—111no—
982C4×C4⋊C4—111no—
983C4×C22⋊C4—111no—
984C4×C22⋊C4C2×D1111yescharacteristic, complemented
985#376—111no—
986C22×C11—22no—
987C22×C11—22no—
988C22×C11—22no—
989C22×C11—41no—
990C22×C11—41no—
991C22×C11—41no—
992C22×C11—41no—
993C22×C11—41no—
994C22×C11—41no—
995C22×C11—41no—
996C22×C11—41no—
997C22×C11—41no—
998C22×C11—41no—
999C22×C11—41no—
1000C22×C11—41no—
1001C22×C11—41no—
1002C22×C11—41no—
1003C22×C11—41no—
1004C22×C11—41no—
1005C22×C11—41no—
1006C22×C11—41no—
1007C22×C11—41no—
1008C22×C11—41no—
1009C22×C11—41no—
1010C22×C11—41no—
1011C22×C11—41no—
1012C22×C11—41no—
1013C22×C11—41no—
1014C22×C11C23×D411yescharacteristic
1015C22×C11C2×H(5,𝔽2)11yescharacteristic
1016C22×C11C2×H(5,𝔽2)11yescharacteristic
1017C22×C11C2×H(5,𝔽2)11yescharacteristic
1018C22×C11#58511yescharacteristic
1019C22×C11#58511yescharacteristic
1020C22×C11#58511yescharacteristic
1021C2×D11—22no—
1022C2×D11—22no—
1023C2×D11—22no—
1024C2×D11—41no—
1025C2×D11—41no—
1026C2×D11—41no—
1027C2×D11—41no—
1028C2×D11—41no—
1029C2×D11—41no—
1030C2×D11—41no—
1031C2×D11—41no—
1032C2×D11—41no—
1033C2×D11—41no—
1034C2×D11—41no—
1035C2×D11—41no—
1036C2×D11—41no—
1037C2×D11—41no—
1038C2×D11—41no—
1039C2×D11—41no—
1040C2×D11—41no—
1041C2×D11—41no—
1042C2×D11—41no—
1043C2×D11—41no—
1044C2×D11—41no—
1045C2×D11—41no—
1046C2×D11—41no—
1047C2×D11—41no—
1048C2×D11—41no—
1049C2×D11—88no—
1050C4×C11—22no—
1051C4×C11—22no—
1052C4×C11—41no—
1053C4×C11—41no—
1054C4×C11—41no—
1055C4×C11—41no—
1056C4×C11—41no—
1057C4×C11—41no—
1058C4×C11—41no—
1059C4×C11—41no—
1060C4×C11—41no—
1061Dic11—22no—
1062Dic11—22no—
1063Dic11—22no—
1064Dic11—22no—
1065Dic11—22no—
1066Dic11—22no—
1067Dic11—41no—
1068Dic11—41no—
1069Dic11—41no—
1070Dic11—41no—
1071Dic11—41no—
1072Dic11—41no—
1073C25—111no—
1074C22×Q8—111no—
1075C22×D4—111no—
1076C22×D4—111no—
1077C22×D4—111no—
1078C22×D4—111no—
1079C22×D4—111no—
1080C22×D4—111no—
1081C22×D4—111no—
1082C22×D4—111no—
1083C22×D4—111no—
1084C22×D4—111no—
1085C22×D4—111no—
1086C22×D4—111no—
1087C22×D4—111no—
1088C22×D4—111no—
1089C22×D4—111no—
1090C22×D4—111no—
1091C22×D4—111no—
1092C22×D4—111no—
1093C22×D4—111no—
1094C22×D4C22×D1111yescharacteristic
1095C22×D4C22×D1111yescharacteristic
1096C22×D4C22×D1111yescharacteristic
1097C22×D4C22×D1111yescharacteristic
1098C22×D4C22×D1111yescharacteristic
1099C22×D4C22×D1111yescharacteristic
1100C23×C4—111no—
1101C23×C4—111no—
1102C23×C4—111no—
1103C23×C4—111no—
1104C23×C4—111no—
1105C23×C4—111no—
1106C23×C4—111no—
1107C23×C4—111no—
1108C23×C4C22×D1111yescharacteristic
1109#127—224no—
1110#127—442no—
1111#126—224no—
1112#126—224no—
1113#125—224no—
1114#124—224no—
1115#124—224no—
1116#123—24no—
1117#123—224no—
1118#123—224no—
1119#123—224no—
1120#123—224no—
1121#123—224no—
1122#123—442no—
1123#123—442no—
1124C22⋊Q8—224no—
1125C22⋊Q8—442no—
1126C22⋊Q8—442no—
1127#121—24no—
1128#121—224no—
1129#121—224no—
1130#121—224no—
1131#121—224no—
1132#121—224no—
1133#121—224no—
1134#121—224no—
1135#121—224no—
1136#121—442no—
1137#121—442no—
1138#121—442no—
1139#121—442no—
1140#121—442no—
1141#121—442no—
1142#121—442no—
1143#121—442no—
1144#120—224no—
1145#120—224no—
1146#120—442no—
1147#120—442no—
1148#120—442no—
1149C4×D4—118no—
1150C4×D4—224no—
1151C4×D4—224no—
1152#117—224no—
1153#117—442no—
1154C2×C4⋊C4—111no—
1155C2×C4⋊C4—111no—
1156C2×C4⋊C4—111no—
1157C2×C4⋊C4—111no—
1158C2×C4⋊C4—111no—
1159C2×C4⋊C4—111no—
1160C2×C4⋊C4—111no—
1161C2×C4⋊C4—111no—
1162C2×C4⋊C4—111no—
1163C2×C4⋊C4—111no—
1164C2×C4⋊C4—111no—
1165C2×C4⋊C4—111no—
1166C2×C4⋊C4—111no—
1167C2×C4⋊C4—111no—
1168C2×C4⋊C4—111no—
1169C2×C4⋊C4—111no—
1170C2×C4⋊C4—111no—
1171C2×C4⋊C4—111no—
1172C2×C4⋊C4—111no—
1173C2×C4⋊C4—111no—
1174C2×C4⋊C4—111no—
1175C2×C4⋊C4—111no—
1176C2×C4⋊C4—111no—
1177C2×C4⋊C4C22×D1111yescharacteristic
1178C2×C4⋊C4C22×D1111yescharacteristic
1179C2×C4⋊C4C22×D1111yescharacteristic
1180C2×C4⋊C4C22×D1111yescharacteristic
1181C2×C4⋊C4C22×D1111yescharacteristic
1182C2×C22⋊C4—111no—
1183C2×C22⋊C4—111no—
1184C2×C22⋊C4—111no—
1185C2×C22⋊C4—111no—
1186C2×C22⋊C4—111no—
1187C2×C22⋊C4—111no—
1188C2×C22⋊C4—111no—
1189C2×C22⋊C4—111no—
1190C2×C22⋊C4—111no—
1191C2×C22⋊C4—111no—
1192C2×C22⋊C4—111no—
1193C2×C22⋊C4—111no—
1194C2×C22⋊C4—111no—
1195C2×C22⋊C4—111no—
1196C2×C22⋊C4—111no—
1197C2×C22⋊C4—111no—
1198C2×C22⋊C4—111no—
1199C2×C22⋊C4—111no—
1200C2×C22⋊C4—111no—
1201C2×C22⋊C4—111no—
1202C2×C22⋊C4—111no—
1203C2×C22⋊C4—111no—
1204C2×C22⋊C4—111no—
1205C2×C22⋊C4—111no—
1206C2×C22⋊C4—111no—
1207C2×C22⋊C4—111no—
1208C2×C22⋊C4—111no—
1209C2×C22⋊C4—111no—
1210C2×C22⋊C4—111no—
1211C2×C22⋊C4—111no—
1212C2×C22⋊C4—111no—
1213C2×C22⋊C4—111no—
1214C2×C22⋊C4—111no—
1215C2×C22⋊C4—111no—
1216C2×C22⋊C4—111no—
1217C2×C22⋊C4—111no—
1218C2×C22⋊C4—111no—
1219C2×C22⋊C4—111no—
1220C2×C22⋊C4—111no—
1221C2×C22⋊C4—111no—
1222C2×C22⋊C4—111no—
1223C2×C22⋊C4—111no—
1224C2×C22⋊C4—111no—
1225C2×C22⋊C4—224no—
1226C2×C22⋊C4C22×D1111yescharacteristic
1227C2×C22⋊C4C22×D1111yescharacteristic
1228C2×C22⋊C4C22×D1111yescharacteristic
1229C2×C22⋊C4C22×D1111yescharacteristic
1230C2×C22⋊C4C22×D1111yescharacteristic
1231C2×C22⋊C4C22×D1111yescharacteristic
1232C2×C22⋊C4C22×D1111yescharacteristic
1233C2×C22⋊C4C22×D1111yescharacteristic
1234C2×C22⋊C4C22×D1111yescharacteristic
1235C2×C22⋊C4C22×D1111yescharacteristic
1236C2×C22⋊C4C22×D1111yescharacteristic
1237C2×C22⋊C4C22×D1111yescharacteristic
1238C2×C22⋊C4C22×D1111yescharacteristic
1239C2×C22⋊C4C22×D1111yescharacteristic
1240C2×C22⋊C4C22×D1111yescharacteristic
1241C2×C42—111no—
1242C2×C42—111no—
1243C2×C42—111no—
1244C2×C42—111no—
1245C2×C42—111no—
1246C2×C42—111no—
1247C2×C42—111no—
1248C2×C42—442no—
1249C2×C42C22×D1111yescharacteristic
1250C2×C42C22×D1111yescharacteristic
1251#95—111no—
1252#95—111no—
1253#95—111no—
1254#95—111no—
1255#95—111no—
1256#95—111no—
1257#95—111no—
1258#95—111no—
1259#95—111no—
1260#95—111no—
1261#95—111no—
1262#95—111no—
1263#95—111no—
1264#95—111no—
1265#95—111no—
1266#95—111no—
1267#95—111no—
1268#95—111no—
1269#95C22×D1111yescharacteristic
1270#95C22×D1111yescharacteristic
1271#95C22×D1111yescharacteristic
1272#95C22×D1111yescharacteristic
1273#95C22×D1111yescharacteristic
1274#95C22×D1111yescharacteristic
1275C2×C11—42no—
1276C2×C11—81no—
1277C2×C11—81no—
1278C2×C11—81no—
1279C2×C11#344911yescharacteristic
1280C2×C11#349611yescharacteristic
1281C2×C11#349811yescharacteristic
1282C2×C11#353411yescharacteristic
1283C2×C11#354211yescharacteristic
1284C2×C11#355111yescharacteristic
1285C2×C11#356211yescharacteristic
1286D11—42no—
1287D11—81no—
1288D11—81no—
1289D11—81no—
1290C24—111no—
1291C24—111no—
1292C24—111no—
1293C24—111no—
1294C24—222no—
1295C24—441no—
1296C24—441no—
1297C24—441no—
1298C24—441no—
1299C24—441no—
1300C24—441no—
1301C24C23×D1111yescharacteristic
1302C24C23×D1111yescharacteristic
1303C24C23×D1111yescharacteristic
1304C24C23×D1111yescharacteristic
1305C2×Q8—222no—
1306C2×Q8—441no—
1307C2×Q8—441no—
1308C2×D4—22no—
1309C2×D4—22no—
1310C2×D4—22no—
1311C2×D4—22no—
1312C2×D4—41no—
1313C2×D4—41no—
1314C2×D4—41no—
1315C2×D4—41no—
1316C2×D4—41no—
1317C2×D4—41no—
1318C2×D4—41no—
1319C2×D4—41no—
1320C2×D4—41no—
1321C2×D4—41no—
1322C2×D4—41no—
1323C2×D4—41no—
1324C2×D4—41no—
1325C2×D4—41no—
1326C2×D4—114no—
1327C2×D4—222no—
1328C2×D4—222no—
1329C2×D4—222no—
1330C2×D4—222no—
1331C2×D4—222no—
1332C2×D4—222no—
1333C2×D4—222no—
1334C2×D4—222no—
1335C2×D4—222no—
1336C2×D4—222no—
1337C2×D4—222no—
1338C2×D4—222no—
1339C2×D4—222no—
1340C2×D4—222no—
1341C2×D4—222no—
1342C2×D4—222no—
1343C2×D4—441no—
1344C2×D4—441no—
1345C2×D4—441no—
1346C2×D4—441no—
1347C2×D4—441no—
1348C2×D4—441no—
1349C2×D4—441no—
1350C2×D4—441no—
1351C2×D4—441no—
1352C2×D4—441no—
1353C2×D4—441no—
1354C2×D4—441no—
1355C2×D4—441no—
1356C2×D4—441no—
1357C2×D4—441no—
1358C2×D4—441no—
1359C2×D4—441no—
1360C2×D4—441no—
1361C2×D4—441no—
1362C2×D4—441no—
1363C2×D4—441no—
1364C2×D4—441no—
1365C2×D4—441no—
1366C2×D4—441no—
1367C2×D4—441no—
1368C2×D4—441no—
1369C2×D4—441no—
1370C2×D4—441no—
1371C2×D4—441no—
1372C2×D4—441no—
1373C2×D4—441no—
1374C2×D4—441no—
1375C2×D4—441no—
1376C2×D4—441no—
1377C2×D4—441no—
1378C2×D4—441no—
1379C2×D4—441no—
1380C2×D4—441no—
1381C2×D4—441no—
1382C2×D4—441no—
1383C22×C4—41no—
1384C22×C4—41no—
1385C22×C4—111no—
1386C22×C4—111no—
1387C22×C4—111no—
1388C22×C4—111no—
1389C22×C4—111no—
1390C22×C4—111no—
1391C22×C4—114no—
1392C22×C4—111no—
1393C22×C4—111no—
1394C22×C4—111no—
1395C22×C4—111no—
1396C22×C4—111no—
1397C22×C4—111no—
1398C22×C4—222no—
1399C22×C4—222no—
1400C22×C4—222no—
1401C22×C4—222no—
1402C22×C4—222no—
1403C22×C4—222no—
1404C22×C4—222no—
1405C22×C4—222no—
1406C22×C4—441no—
1407C22×C4—441no—
1408C22×C4—441no—
1409C22×C4—441no—
1410C22×C4—441no—
1411C22×C4—441no—
1412C22×C4—441no—
1413C22×C4—441no—
1414C22×C4—441no—
1415C22×C4—441no—
1416C22×C4—441no—
1417C22×C4—441no—
1418C22×C4—441no—
1419C22×C4—441no—
1420C22×C4—441no—
1421C22×C4D4×D1114yes—
1422C22×C4C23×D1111yescharacteristic
1423C22×C4C23×D1111yescharacteristic
1424C22×C4C23×D1111yescharacteristic
1425C22×C4C23×D1111yescharacteristic
1426C22×C4C23×D1111yescharacteristic
1427C22×C4C23×D1111yescharacteristic
1428C22×C4C23×D1111yescharacteristic
1429C22×C4C23×D1111yescharacteristic
1430C22×C4C23×D1111yescharacteristic
1431C22×C4C23×D1111yescharacteristic
1432C22×C4C23×D1111yescharacteristic
1433C4⋊C4—22no—
1434C4⋊C4—22no—
1435C4⋊C4—22no—
1436C4⋊C4—41no—
1437C4⋊C4—41no—
1438C4⋊C4—114no—
1439C4⋊C4—222no—
1440C4⋊C4—222no—
1441C4⋊C4—222no—
1442C4⋊C4—222no—
1443C4⋊C4—222no—
1444C4⋊C4—222no—
1445C4⋊C4—222no—
1446C4⋊C4—222no—
1447C4⋊C4—222no—
1448C4⋊C4—222no—
1449C4⋊C4—222no—
1450C4⋊C4—222no—
1451C4⋊C4—222no—
1452C4⋊C4—222no—
1453C4⋊C4—222no—
1454C4⋊C4—441no—
1455C4⋊C4—441no—
1456C4⋊C4—441no—
1457C4⋊C4—441no—
1458C4⋊C4—441no—
1459C4⋊C4—441no—
1460C4⋊C4—441no—
1461C22⋊C4—22no—
1462C22⋊C4—22no—
1463C22⋊C4—22no—
1464C22⋊C4—22no—
1465C22⋊C4—22no—
1466C22⋊C4—41no—
1467C22⋊C4—41no—
1468C22⋊C4—41no—
1469C22⋊C4—41no—
1470C22⋊C4—41no—
1471C22⋊C4—41no—
1472C22⋊C4—41no—
1473C22⋊C4—41no—
1474C22⋊C4—41no—
1475C22⋊C4—41no—
1476C22⋊C4—114no—
1477C22⋊C4—114no—
1478C22⋊C4—222no—
1479C22⋊C4—222no—
1480C22⋊C4—222no—
1481C22⋊C4—222no—
1482C22⋊C4—222no—
1483C22⋊C4—222no—
1484C22⋊C4—222no—
1485C22⋊C4—222no—
1486C22⋊C4—222no—
1487C22⋊C4—222no—
1488C22⋊C4—222no—
1489C22⋊C4—222no—
1490C22⋊C4—222no—
1491C22⋊C4—222no—
1492C22⋊C4—222no—
1493C22⋊C4—222no—
1494C22⋊C4—222no—
1495C22⋊C4—222no—
1496C22⋊C4—222no—
1497C22⋊C4—222no—
1498C22⋊C4—222no—
1499C22⋊C4—222no—
1500C22⋊C4—222no—
1501C22⋊C4—222no—
1502C22⋊C4—222no—
1503C22⋊C4—222no—
1504C22⋊C4—441no—
1505C22⋊C4—441no—
1506C22⋊C4—441no—
1507C22⋊C4—441no—
1508C22⋊C4—441no—
1509C22⋊C4—441no—
1510C22⋊C4—441no—
1511C22⋊C4—441no—
1512C22⋊C4—441no—
1513C22⋊C4—441no—
1514C22⋊C4—441no—
1515C22⋊C4—441no—
1516C22⋊C4—441no—
1517C22⋊C4—441no—
1518C22⋊C4—441no—
1519C42—41no—
1520C42—41no—
1521C42—114no—
1522C42—222no—
1523C42—222no—
1524C42—222no—
1525C42—222no—
1526C42—441no—
1527C42—441no—
1528C11#3674411yescharacteristic, complemented, Sylow
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—112no—
1557C23—221no—
1558C23—221no—
1559C23—221no—
1560C23—221no—
1561C23—221no—
1562C23—221no—
1563C23—221no—
1564C23—221no—
1565C23—221no—
1566C23—221no—
1567C23—221no—
1568C23—221no—
1569C23—221no—
1570C23—221no—
1571C23—221no—
1572C23—221no—
1573C23—221no—
1574C23—221no—
1575C23—221no—
1576C23—221no—
1577C23—221no—
1578C23—221no—
1579C23—221no—
1580C23—221no—
1581C23—221no—
1582C23—221no—
1583C23—221no—
1584C23—444no—
1585C23—882no—
1586C23—882no—
1587C23—882no—
1588C23—882no—
1589C23—882no—
1590C23—882no—
1591C23C2×D4×D1112yes—
1592C23C24×D1111yescharacteristic
1593Q8—882no—
1594D4—82no—
1595D4—82no—
1596D4—82no—
1597D4—82no—
1598D4—82no—
1599D4—82no—
1600D4—444no—
1601D4—444no—
1602D4—444no—
1603D4—882no—
1604D4—882no—
1605D4—882no—
1606D4—882no—
1607D4—882no—
1608D4—882no—
1609D4—882no—
1610D4—882no—
1611D4—882no—
1612D4—882no—
1613D4—882no—
1614D4—882no—
1615D4—882no—
1616D4—882no—
1617D4—882no—
1618D4—882no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—44no—
1651C2×C4—112no—
1652C2×C4—112no—
1653C2×C4—112no—
1654C2×C4—112no—
1655C2×C4—112no—
1656C2×C4—112no—
1657C2×C4—221no—
1658C2×C4—221no—
1659C2×C4—221no—
1660C2×C4—221no—
1661C2×C4—221no—
1662C2×C4—221no—
1663C2×C4—221no—
1664C2×C4—221no—
1665C2×C4—221no—
1666C2×C4—221no—
1667C2×C4—221no—
1668C2×C4—221no—
1669C2×C4—221no—
1670C2×C4—221no—
1671C2×C4—221no—
1672C2×C4—221no—
1673C2×C4—221no—
1674C2×C4—221no—
1675C2×C4—221no—
1676C2×C4—221no—
1677C2×C4—221no—
1678C2×C4—221no—
1679C2×C4—221no—
1680C2×C4—221no—
1681C2×C4—221no—
1682C2×C4—221no—
1683C2×C4—221no—
1684C2×C4—221no—
1685C2×C4—221no—
1686C2×C4—221no—
1687C2×C4—444no—
1688C2×C4—444no—
1689C2×C4—444no—
1690C2×C4—444no—
1691C2×C4—882no—
1692C2×C4—882no—
1693C2×C4—882no—
1694C2×C4—882no—
1695C2×C4C2×D4×D1112yes—
1696C2×C4C2×D4×D1112yes—
1697C22—22no—
1698C22—22no—
1699C22—22no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—222no—
1726C22—222no—
1727C22—222no—
1728C22—441no—
1729C22—441no—
1730C22—441no—
1731C22—441no—
1732C22—441no—
1733C22—441no—
1734C22—441no—
1735C22—441no—
1736C22—441no—
1737C22—441no—
1738C22—441no—
1739C22—441no—
1740C22—441no—
1741C22—441no—
1742C22—441no—
1743C22—441no—
1744C22—441no—
1745C22—441no—
1746C22—441no—
1747C22—441no—
1748C22—441no—
1749C22—441no—
1750C22—441no—
1751C22—441no—
1752C22—441no—
1753C22—888no—
1754C22C22×D4×D1111yescharacteristic
1755C22#1062345311yescharacteristic
1756C22#1062345311yescharacteristic
1757C22D11×H(5,𝔽2)11yescharacteristic
1758C22D11×H(5,𝔽2)11yescharacteristic
1759C22D11×H(5,𝔽2)11yescharacteristic
1760C22#1062345511yescharacteristic
1761C4—22no—
1762C4—22no—
1763C4—41no—
1764C4—41no—
1765C4—41no—
1766C4—41no—
1767C4—41no—
1768C4—41no—
1769C4—41no—
1770C4—41no—
1771C4—41no—
1772C4—222no—
1773C4—222no—
1774C4—222no—
1775C4—222no—
1776C4—222no—
1777C4—222no—
1778C4—441no—
1779C4—441no—
1780C4—441no—
1781C4—441no—
1782C4—441no—
1783C4—441no—
1784C2—42no—
1785C2—81no—
1786C2—81no—
1787C2—81no—
1788C2—442no—
1789C2—881no—
1790C2—881no—
1791C2—881no—
1792C2#1308194311yescharacteristic
1793C2#1308237711yescharacteristic
1794C2#1308239111yescharacteristic
1795C2#1308280511yescharacteristic
1796C2#1308292311yescharacteristic
1797C2#1308303311yescharacteristic
1798C2#1308319511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2661C2
hypercenter#2661D11
hypocenterC11#36744
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2661

Complements

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

NH ≅ G/Ntype
1. C2×#10623194C2semidirect
2. C2×#10623144C2semidirect
3. #13076959C2semidirect
4. #13076945C2semidirect
5. #13075510C2semidirect
6. #13075411C2semidirect
7. #13075135C2semidirect
8. #13074961C2semidirect
9. #13074952C2semidirect
10. #13074934C2semidirect
11. #13074910C2semidirect
12. #13074905C2semidirect
13. #13074884C2semidirect
14. #13074881C2semidirect
15. #13074860C2semidirect
16. #13074851C2semidirect
17. #13074845C2semidirect
18. #13074832C2semidirect
19. #13074827C2semidirect
20. #13074823C2semidirect
21. #13074742C2semidirect
22. #13074302C2semidirect
23. #13074239C2semidirect
24. #13074233C2semidirect
25. #13074220C2semidirect
26. #13073553C2semidirect
27. #13073545C2semidirect
28. #13072031C2semidirect
29. #13072000C2semidirect
30. #13071055C2semidirect
31. C11×#2661C2semidirect
32. C2×C11×#123C22semidirect
41. C2×#66992C22semidirect
42. C2×#66992C22semidirect
43. C2×#66992C22semidirect
44. C2×#66992C22semidirect
51. C2×#66983C22semidirect
54. C22×C4×Dic11C22semidirect
59. C2×#66949C22semidirect
63. C2×#66945C22semidirect
64. C2×#66942C22semidirect
70. C2×#66937C22semidirect
72. C2×#66936C22semidirect
76. C2×(C22⋊D11)⋊C4C22semidirect
79. C2×#66931C22semidirect
81. C11×#398C22semidirect
82. C11×#397C22semidirect
85. C11×#394C22semidirect
88. C11×#392C22semidirect
90. C11×#390C22semidirect
92. C11×#388C22semidirect
93. C4×C11×C22⋊C4C22semidirect
97. #10622836C22semidirect
100. #10622833C22semidirect
106. #10622602C22semidirect
107. #10622601C22semidirect
108. #10622597C22semidirect
109. #10622589C22semidirect
110. #10622585C22semidirect
111. #10622585C22semidirect
112. #10622585C22semidirect
114. #10622574C22semidirect
115. #10622574C22semidirect
116. #10622574C22semidirect
131. #10622571C22semidirect
136. #10622570C22semidirect
137. #10622570C22semidirect
138. #10622570C22semidirect
141. #10622569C22semidirect
144. #10622564C22semidirect
146. #10622562C22semidirect
149. #10622559C22semidirect
150. #10622559C22semidirect
151. #10622559C22semidirect
152. #10622559C22semidirect
154. #10622558C22semidirect
155. #10622558C22semidirect
156. #10622555C22semidirect
157. #10622555C22semidirect
158. #10622553C22semidirect
159. #10622553C22semidirect
163. #10622545C22semidirect
164. C4×Dic11⋊C4C22semidirect
166. #10622289C22semidirect
169. #10622286C22semidirect
172. #10622285C22semidirect
177. #10622282C22semidirect
179. #10622281C22semidirect
182. #10622274C22semidirect
183. #10622270C22semidirect
184. #10622269C22semidirect
185. #10622268C22semidirect
186. #10622265C22semidirect
187. #10622265C22semidirect
188. #10622265C22semidirect
281. C4×C22⋊D11D4semidirect
651. #2661D11semidirect
845. C2×#123C2×D11semidirect
885. #398C2×D11semidirect
889. #397C2×D11semidirect
909. #394C2×D11semidirect
925. #392C2×D11semidirect
938. #390C2×D11semidirect
955. #388C2×D11semidirect
984. C4×C22⋊C4C2×D11semidirect
1528. C11#36744semidirect

Maximal subgroups

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

subgroupindex
C2×#106231942
C2×#106231442
#130769592
#130769452
#130755102
#130754112
#130751352
#130749612
#130749522
#130749342
#130749102
#130749052
#130748842
#130748812
#130748602
#130748512
#130748452
#130748322
#130748272
#130748232
#130747422
#130743022
#130742392
#130742332
#130742202
#130735532
#130735452
#130720312
#130720002
#130710552
C11×#26612
#3674411