Finite Group Databasebeta

← #14960532

Subgroups — #14960532

Order 2816.

3018 conjugacy classes of subgroups.

The subgroup lattice has 1926 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623138C211yesmaximal, characteristic, complemented
2C2×D11×#121C211yesmaximal, characteristic, complemented
3#13076909C211yesmaximal, characteristic, complemented
4#13076907C211yesmaximal, characteristic, complemented
5#13075059C211yesmaximal, characteristic, complemented
6#13075057C211yesmaximal, characteristic, complemented
7#13075046C211yesmaximal, characteristic, complemented
8#13075024C211yesmaximal, characteristic, complemented
9#13075022C211yesmaximal, characteristic, complemented
10#13075017C211yesmaximal, characteristic, complemented
11#13075015C211yesmaximal, characteristic, complemented
12#13074888C211yesmaximal, characteristic, complemented
13#13074886C211yesmaximal, characteristic, complemented
14#13074881C211yesmaximal, characteristic, complemented
15#13074879C211yesmaximal, characteristic, complemented
16#13074855C211yesmaximal, characteristic, complemented
17#13074853C211yesmaximal, characteristic, complemented
18#13074850C211yesmaximal, characteristic, complemented
19#13074848C211yesmaximal, characteristic, complemented
20#13074329C211yesmaximal, characteristic, complemented
21#13074327C211yesmaximal, characteristic, complemented
22#13072904C211yesmaximal, characteristic, complemented
23#13072885C211yesmaximal, characteristic, complemented
24#13072011C211yesmaximal, characteristic, complemented
25#13072005C211yesmaximal, characteristic, complemented
26#13071989C211yesmaximal, characteristic, complemented
27#13071983C211yesmaximal, characteristic, complemented
28#13071949C211yesmaximal, characteristic, complemented
29#13071933C211yesmaximal, characteristic, complemented
30#13071190C211yesmaximal, characteristic, complemented
31C11×#2688C211yesmaximal, characteristic, complemented
32C22×D4×D11C2211yescharacteristic
33C22×D4×D11C2211yescharacteristic
34C22×D4×D11C2211yescharacteristic
35C22×#4339C2211yescharacteristic
36C23×C4×D11C2211yescharacteristic
37C2×C11×#121C2211yescharacteristic
38C2×C11×#121C2211yescharacteristic, complemented
39C2×#66993C2211yescharacteristic, complemented
40C2×#66993C2211yescharacteristic, complemented
41C2×#66992C2211yescharacteristic
42C2×#66992C2211yescharacteristic
43C2×#66992C2211yescharacteristic, complemented
44C2×#66991C2211yescharacteristic
45C2×#66991C2211yescharacteristic, complemented
46C2×#66991C2211yescharacteristic, complemented
47C2×#66990C2211yescharacteristic
48C2×#66990C2211yescharacteristic
49C2×#66990C2211yescharacteristic
50C2×#66983C2211yescharacteristic
51C2×#66983C2211yescharacteristic, complemented
52C2×#66983C2211yescharacteristic, complemented
53C2×#66982C2211yescharacteristic, complemented
54C22×(C2×D11)⋊C4C2211yescharacteristic
55#10623138—28no—
56D11×#121—28no—
57C2×#66948C2211yescharacteristic
58C2×#66948C2211yescharacteristic, complemented
59C2×#66947C2211yescharacteristic
60C2×#66945C2211yescharacteristic
61C2×C4⋊C4×D11C2211yescharacteristic
62C2×#66939C2211yescharacteristic, complemented
63C2×#66938C2211yescharacteristic, complemented
64C2×#66938C2211yescharacteristic, complemented
65C2×#66937C2211yescharacteristic
66C2×#66937C2211yescharacteristic
67C2×#66937C2211yescharacteristic, complemented
68C2×#66936C2211yescharacteristic
69C2×#66936C2211yescharacteristic, complemented
70C2×#66936C2211yescharacteristic, complemented
71C2×#66935C2211yescharacteristic
72C2×#66935C2211yescharacteristic
73C2×#66935C2211yescharacteristic
74C2×C22⋊C4×D11C2211yescharacteristic
75C2×C22⋊C4×D11C2211yescharacteristic
76C2×C22⋊C4×D11C2211yescharacteristic
77C11×#400C2211yescharacteristic, complemented
78C11×#397C2211yescharacteristic, complemented
79C11×#397C2211yescharacteristic, complemented
80C11×#394C2211yescharacteristic, complemented
81C11×#392C2211yescharacteristic, complemented
82C11×#392C2211yescharacteristic, complemented
83C11×#386C2211yescharacteristic, complemented
84C11×#386C2211yescharacteristic, complemented
85C11×#386C2211yescharacteristic, complemented
86C11×#386C2211yescharacteristic, complemented
87C11×#386C2211yescharacteristic, complemented
88C11×#385C2211yescharacteristic, complemented
89C11×#381C2211yescharacteristic, complemented
90#10622836C2211yescharacteristic, complemented
91#10622836C2211yescharacteristic, complemented
92#10622836C2211yescharacteristic, complemented
93#10622836C2211yescharacteristic, complemented
94#10622836C2211yescharacteristic, complemented
95#10622835C2211yescharacteristic, complemented
96#10622835C2211yescharacteristic, complemented
97#10622833C2211yescharacteristic, complemented
98#10622833C2211yescharacteristic, complemented
99#10622833C2211yescharacteristic, complemented
100#10622826C2211yescharacteristic, complemented
101#10622826C2211yescharacteristic, complemented
102#10622825C2211yescharacteristic, complemented
103#10622823C2211yescharacteristic, complemented
104#10622823C2211yescharacteristic, complemented
105#10622606C2211yescharacteristic, complemented
106#10622604C2211yescharacteristic, complemented
107#10622602C2211yescharacteristic, complemented
108#10622600C2211yescharacteristic, complemented
109#10622596C2211yescharacteristic, complemented
110#10622595C2211yescharacteristic, complemented
111#10622592C2211yescharacteristic, complemented
112#10622574C2211yescharacteristic, complemented
113#10622574C2211yescharacteristic, complemented
114#10622574C2211yescharacteristic, complemented
115#10622574C2211yescharacteristic, complemented
116#10622574C2211yescharacteristic, complemented
117#10622574C2211yescharacteristic, complemented
118#10622574C2211yescharacteristic, complemented
119#10622573C2211yescharacteristic, complemented
120#10622573C2211yescharacteristic, complemented
121#10622573C2211yescharacteristic, complemented
122#10622573C2211yescharacteristic, complemented
123#10622573C2211yescharacteristic, complemented
124#10622572C2211yescharacteristic, complemented
125#10622572C2211yescharacteristic, complemented
126#10622572C2211yescharacteristic, complemented
127#10622572C2211yescharacteristic, complemented
128#10622572C2211yescharacteristic, complemented
129#10622571C2211yescharacteristic, complemented
130#10622571C2211yescharacteristic, complemented
131#10622569C2211yescharacteristic
132#10622569C2211yescharacteristic
133#10622569C2211yescharacteristic, complemented
134#10622569C2211yescharacteristic, complemented
135#10622569C2211yescharacteristic, complemented
136#10622569C2211yescharacteristic, complemented
137#10622568C2211yescharacteristic
138#10622568C2211yescharacteristic
139#10622568C2211yescharacteristic
140#10622568C2211yescharacteristic
141#10622565C2211yescharacteristic, complemented
142#10622564C2211yescharacteristic, complemented
143#10622564C2211yescharacteristic, complemented
144#10622563C2211yescharacteristic, complemented
145#10622562C2211yescharacteristic, complemented
146#10622560C2211yescharacteristic, complemented
147#10622556C2211yescharacteristic, complemented
148#10622555C2211yescharacteristic, complemented
149#10622290C2211yescharacteristic, complemented
150#10622288C2211yescharacteristic, complemented
151#10622287C2211yescharacteristic, complemented
152#10622286C2211yescharacteristic, complemented
153#10622285C2211yescharacteristic, complemented
154#10622285C2211yescharacteristic, complemented
155#10622284C2211yescharacteristic, complemented
156#10622284C2211yescharacteristic, complemented
157#10622282C2211yescharacteristic, complemented
158#10622282C2211yescharacteristic, complemented
159#10622281C2211yescharacteristic
160#10622281C2211yescharacteristic
161#10622281C2211yescharacteristic
162#10622281C2211yescharacteristic
163#10622281C2211yescharacteristic, complemented
164#10622281C2211yescharacteristic, complemented
165#10622281C2211yescharacteristic, complemented
166#10622280C2211yescharacteristic, complemented
167#10622278C2211yescharacteristic
168#10622278C2211yescharacteristic
169#10622278C2211yescharacteristic, complemented
170#10622278C2211yescharacteristic, complemented
171#10622278C2211yescharacteristic, complemented
172#10622278C2211yescharacteristic, complemented
173#10622278C2211yescharacteristic, complemented
174#10622278C2211yescharacteristic, complemented
175#10622278C2211yescharacteristic, complemented
176#10622278C2211yescharacteristic, complemented
177#10622277C2211yescharacteristic
178#10622277C2211yescharacteristic
179#10622277C2211yescharacteristic
180#10622277C2211yescharacteristic
181#10622277C2211yescharacteristic, complemented
182#10622277C2211yescharacteristic, complemented
183#10622274C2211yescharacteristic, complemented
184#10622269C2211yescharacteristic, complemented
185#10622268C2211yescharacteristic, complemented
186#10622268C2211yescharacteristic, complemented
187#10622267C2211yescharacteristic, complemented
188#10622267C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C24×D11C2311yescharacteristic
191C24×D11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C22×D4×C11C2311yescharacteristic
195C22×D4×C11C2311yescharacteristic
196C22×D4×C11C2311yescharacteristic
197C22×D4×C11C2311yescharacteristic
198C23×C4×C11C2311yescharacteristic
199C23×C4×C11C2311yescharacteristic
200C23×C4×C11C2311yescharacteristic
201C22×C22⋊D11C2311yescharacteristic
202C22×C22⋊D11C2311yescharacteristic
203C22×C22⋊D11C2311yescharacteristic
204C22×C22⋊D11C2311yescharacteristic
205C22×C22⋊D11C2311yescharacteristic
206C22×C22⋊D11C2311yescharacteristic
207C22×C22⋊D11C2311yescharacteristic
208C22×C22⋊D11C2311yescharacteristic
209C22×C22⋊D11C2311yescharacteristic
210C22×C22⋊D11C2311yescharacteristic
211C22×C22⋊D11C2311yescharacteristic
212C22×C22⋊D11C2311yescharacteristic
213C22×C22⋊D11C2311yescharacteristic
214C22×C22⋊D11C2311yescharacteristic
215C23×Dic11C2311yescharacteristic
216C23×Dic11C2311yescharacteristic
217C2×D4×D11—24no—
218C2×D4×D11—24no—
219C2×D4×D11—42no—
220C2×D4×D11—42no—
221C2×D4×D11—42no—
222C2×D4×D11—42no—
223C2×D4×D11—42no—
224C2×D4×D11—42no—
225C2×D4×D11D418yescomplemented
226C2×#4339—24no—
227C2×#4339—42no—
228C2×#4339—42no—
229C22×D44C2311yescharacteristic
230C22×D44C2311yescharacteristic
231C22×D44C2311yescharacteristic
232C22×D44C2311yescharacteristic
233C22×D44C2311yescharacteristic
234C22×D44C2311yescharacteristic
235C22×D44C2311yescharacteristic
236C22×C4×D11—24no—
237C22×C4×D11—42no—
238C22×C4×D11—42no—
239C22×C4×D11C2311yescharacteristic
240C22×C4×D11C2311yescharacteristic
241C22×C4×D11C2311yescharacteristic
242C22×C4×D11C2311yescharacteristic
243C22×C4×D11C2311yescharacteristic
244C22×C4×D11C2311yescharacteristic
245C22×C4×D11C2311yescharacteristic
246C22×C4×D11C2311yescharacteristic
247C22×C4×D11C2311yescharacteristic
248C22×Dic22C2311yescharacteristic
249C11×#121—24no—
250C11×#121—24no—
251C2×C11×C4⋊C4C2311yescharacteristic
252C2×C11×C4⋊C4C2311yescharacteristic
253C2×C11×C4⋊C4C2311yescharacteristic
254C2×C11×C22⋊C4C2311yescharacteristic
255C2×C11×C22⋊C4C2311yescharacteristic
256C2×C11×C22⋊C4C2311yescharacteristic
257C2×C11×C22⋊C4C2311yescharacteristic
258C2×C11×C22⋊C4C2311yescharacteristic
259C2×C11×C22⋊C4C2311yescharacteristic
260C2×C11×C22⋊C4C2311yescharacteristic
261C2×C11×C22⋊C4C2311yescharacteristic
262C2×C11×C22⋊C4C2311yescharacteristic
263C2×C11×C22⋊C4C2311yescharacteristic
264C2×C11×C22⋊C4C2311yescharacteristic
265C2×C11×C22⋊C4C2311yescharacteristic
266C2×C11×C22⋊C4C2311yescharacteristic
267C2×C22⋊Dic11C2311yescharacteristic
268C2×C22⋊Dic11C2311yescharacteristic
269C2×C22⋊Dic11C2311yescharacteristic
270C2×C22⋊Dic11C2311yescharacteristic
271C2×C22⋊Dic11C2311yescharacteristic
272C2×C22⋊Dic11C2311yescharacteristic
273C2×C22⋊Dic11C2311yescharacteristic
274C2×C22⋊Dic11C2311yescharacteristic
275C2×C22⋊Dic11C2311yescharacteristic
276C2×C22⋊Dic11C2311yescharacteristic
277C2×C22⋊Dic11C2311yescharacteristic
278C2×C22⋊Dic11C2311yescharacteristic
279C2×C22⋊Dic11C2311yescharacteristic
280#66993—24no—
281#66993—24no—
282#66992—24no—
283#66992—24no—
284#66992—42no—
285#66991—24no—
286#66991—24no—
287#66991—42no—
288#66990—24no—
289#66990—24no—
290#66990—42no—
291#66983—24no—
292#66983—24no—
293#66983—42no—
294#66982—42no—
295C2×(C2×D11)⋊C4—42no—
296C2×(C2×D11)⋊C4C2311yescharacteristic
297C2×(C2×D11)⋊C4C2311yescharacteristic
298C2×(C2×D11)⋊C4C2311yescharacteristic
299C2×(C2×D11)⋊C4C2311yescharacteristic
300C2×(C2×D11)⋊C4C2311yescharacteristic
301C2×(C2×D11)⋊C4C2311yescharacteristic
302C2×(C2×D11)⋊C4C2311yescharacteristic
303C2×(C2×D11)⋊C4C2311yescharacteristic
304C2×(C2×D11)⋊C4C2311yescharacteristic
305C2×(C2×D11)⋊C4C2311yescharacteristic
306C2×(C2×D11)⋊C4C2311yescharacteristic
307C2×(C2×D11)⋊C4C2311yescharacteristic
308C2×(C2×D11)⋊C4C2311yescharacteristic
309C2×(C2×D11)⋊C4C2311yescharacteristic
310C2×(C2×D11)⋊C4C2311yescharacteristic
311C2×(C2×D11)⋊C4C2311yescharacteristic
312C2×(C2×D11)⋊C4C2311yescharacteristic
313C2×(C2×D11)⋊C4C2311yescharacteristic
314C2×(C2×D11)⋊C4C2311yescharacteristic
315C2×(C2×D11)⋊C4C2311yescharacteristic
316C2×(C2×D11)⋊C4C2311yescharacteristic
317C2×(C2×D11)⋊C4C2311yescharacteristic
318C2×(C2×D11)⋊C4C2311yescharacteristic
319C2×(C2×D11)⋊C4C2311yescharacteristic
320C2×(C2×D11)⋊C4C2311yescharacteristic
321C2×(C2×D11)⋊C4C2311yescharacteristic
322C2×(C2×D11)⋊C4C2311yescharacteristic
323C2×(C2×D11)⋊C4C2311yescharacteristic
324C2×(C2×D11)⋊C4C2311yescharacteristic
325C2×(C2×D11)⋊C4C2311yescharacteristic
326C2×(C2×D11)⋊C4C2311yescharacteristic
327C2×(C2×D11)⋊C4C2311yescharacteristic
328C2×C4⋊Dic11C2311yescharacteristic
329C2×C4⋊Dic11C2311yescharacteristic
330C2×C4⋊Dic11C2311yescharacteristic
331C2×C4⋊Dic11C2311yescharacteristic
332C2×C4⋊Dic11C2311yescharacteristic
333C2×C4⋊Dic11C2311yescharacteristic
334C2×C4⋊Dic11C2311yescharacteristic
335C2×Dic11⋊C4C2311yescharacteristic
336C2×Dic11⋊C4C2311yescharacteristic
337C2×Dic11⋊C4C2311yescharacteristic
338C2×Dic11⋊C4C2311yescharacteristic
339C2×Dic11⋊C4C2311yescharacteristic
340C2×Dic11⋊C4C2311yescharacteristic
341C2×Dic11⋊C4C2311yescharacteristic
342C2×Dic11⋊C4C2311yescharacteristic
343C2×C4×Dic11C2311yescharacteristic
344C2×C4×Dic11C2311yescharacteristic
345#66948—24no—
346#66948—24no—
347#66947—42no—
348#66945—24no—
349C4⋊C4×D11—24no—
350#66939—42no—
351#66938—24no—
352#66938—24no—
353#66937—24no—
354#66937—24no—
355#66937—42no—
356#66936—42no—
357#66936—42no—
358#66936—42no—
359#66935—24no—
360#66935—24no—
361#66935—42no—
362C22⋊C4×D11—24no—
363C22⋊C4×D11—24no—
364C22⋊C4×D11—42no—
365C11×#95C2311yescharacteristic
366C11×#95C2311yescharacteristic
367C11×#95C2311yescharacteristic
368C11×#95C2311yescharacteristic
369C11×#95C2311yescharacteristic
370C11×#95C2311yescharacteristic
371C11×#95C2311yescharacteristic
372C11×#95C2311yescharacteristic
373C11×#95C2311yescharacteristic
374C11×#95C2311yescharacteristic
375C11⋊#95C2311yescharacteristic
376C11⋊#95C2311yescharacteristic
377C11⋊#95C2311yescharacteristic
378C11⋊#95C2311yescharacteristic
379C11⋊#95C2311yescharacteristic
380C11⋊#95C2311yescharacteristic
381C11⋊#95C2311yescharacteristic
382C11⋊#95C2311yescharacteristic
383C11⋊#95C2311yescharacteristic
384C11⋊#95C2311yescharacteristic
385C11⋊#95C2311yescharacteristic
386C11⋊#95C2311yescharacteristic
387C11⋊#95C2311yescharacteristic
388C11⋊#95C2311yescharacteristic
389C11⋊#95C2311yescharacteristic
390C11⋊#95C2311yescharacteristic
391C11⋊#95C2311yescharacteristic
392C11⋊#95C2311yescharacteristic
393C11⋊#95C2311yescharacteristic
394C11⋊#95C2311yescharacteristic
395C11⋊#95C2311yescharacteristic
396C11⋊#95C2311yescharacteristic
397#36704—111nomaximal, Sylow
398C24×C11C2411yescharacteristic
399C24×C11C2411yescharacteristic
400C24×C11C2411yescharacteristic
401C24×C11C2411yescharacteristic
402C23×D11—22no—
403C23×D11—22no—
404C23×D11—22no—
405C23×D11—22no—
406C23×D11—22no—
407C23×D11—22no—
408C23×D11—22no—
409C23×D11—41no—
410C23×D11—41no—
411C23×D11—41no—
412C23×D11—41no—
413C23×D11—41no—
414C23×D11—41no—
415C23×D11—41no—
416C23×D11—41no—
417C23×D11—41no—
418C23×D11—41no—
419C23×D11—41no—
420C23×D11—41no—
421C23×D11C2×D414yes—
422C23×D11C2×D414yes—
423C23×D11C2411yescharacteristic
424C23×D11C2411yescharacteristic
425C23×D11C2411yescharacteristic
426C23×D11C2411yescharacteristic
427C23×D11C2411yescharacteristic
428C2×D4×C11—22no—
429C2×D4×C11—22no—
430C2×D4×C11—22no—
431C2×D4×C11—22no—
432C2×D4×C11—22no—
433C2×D4×C11—41no—
434C2×D4×C11—41no—
435C2×D4×C11—41no—
436C2×D4×C11—41no—
437C2×D4×C11—41no—
438C2×D4×C11—41no—
439C2×D4×C11—41no—
440C2×D4×C11—41no—
441C2×D4×C11—41no—
442C2×D4×C11—41no—
443C2×D4×C11—41no—
444C2×D4×C11—41no—
445C2×D4×C11C2×D414yes—
446C22×C4×C11—22no—
447C22×C4×C11—22no—
448C22×C4×C11—22no—
449C22×C4×C11—41no—
450C22×C4×C11—41no—
451C22×C4×C11—41no—
452C22×C4×C11—41no—
453C22×C4×C11—41no—
454C22×C4×C11—41no—
455C22×C4×C11C2411yescharacteristic
456C22×C4×C11C2411yescharacteristic
457C22×C4×C11C2411yescharacteristic
458C22×C4×C11C2411yescharacteristic
459C22×C4×C11C2411yescharacteristic
460C22×C4×C11C2411yescharacteristic
461C22×C4×C11C2411yescharacteristic
462C22×C4×C11C2411yescharacteristic
463C22×C4×C11C2411yescharacteristic
464C22×C4×C11C2411yescharacteristic
465C22×C4×C11C2411yescharacteristic
466C2×C22⋊D11—22no—
467C2×C22⋊D11—22no—
468C2×C22⋊D11—22no—
469C2×C22⋊D11—22no—
470C2×C22⋊D11—22no—
471C2×C22⋊D11—22no—
472C2×C22⋊D11—22no—
473C2×C22⋊D11—22no—
474C2×C22⋊D11—22no—
475C2×C22⋊D11—22no—
476C2×C22⋊D11—22no—
477C2×C22⋊D11—22no—
478C2×C22⋊D11—22no—
479C2×C22⋊D11—22no—
480C2×C22⋊D11—41no—
481C2×C22⋊D11—41no—
482C2×C22⋊D11—41no—
483C2×C22⋊D11—41no—
484C2×C22⋊D11—41no—
485C2×C22⋊D11—41no—
486C2×C22⋊D11—41no—
487C2×C22⋊D11—41no—
488C2×C22⋊D11—41no—
489C2×C22⋊D11—41no—
490C2×C22⋊D11—41no—
491C2×C22⋊D11—41no—
492C2×C22⋊D11—41no—
493C2×C22⋊D11—41no—
494C2×C22⋊D11—41no—
495C2×C22⋊D11—41no—
496C2×C22⋊D11—41no—
497C2×C22⋊D11—41no—
498C2×C22⋊D11—41no—
499C2×C22⋊D11—41no—
500C2×C22⋊D11—41no—
501C2×C22⋊D11—41no—
502C2×C22⋊D11—41no—
503C2×C22⋊D11—41no—
504C2×C22⋊D11—41no—
505C2×C22⋊D11—41no—
506C2×C22⋊D11C2×D414yes—
507C2×C22⋊D11C2×D414yes—
508C22×Dic11—22no—
509C22×Dic11—22no—
510C22×Dic11—41no—
511C22×Dic11—41no—
512C22×Dic11—41no—
513C22×Dic11—41no—
514C22×Dic11C2411yescharacteristic
515C22×Dic11C2411yescharacteristic
516C22×Dic11C2411yescharacteristic
517C22×Dic11C2411yescharacteristic
518C22×Dic11C2411yescharacteristic
519C22×Dic11C2411yescharacteristic
520C22×Dic11C2411yescharacteristic
521C22×Dic11C2411yescharacteristic
522C22×Dic11C2411yescharacteristic
523C22×Dic11C2411yescharacteristic
524C22×Dic11C2411yescharacteristic
525D4×D11—416no—
526D4×D11—416no—
527D4×D11—416no—
528#4339—416no—
529C2×D44—22no—
530C2×D44—22no—
531C2×D44—22no—
532C2×D44—22no—
533C2×D44—22no—
534C2×D44—22no—
535C2×D44—22no—
536C2×D44—22no—
537C2×D44—41no—
538C2×D44—41no—
539C2×D44—41no—
540C2×D44—41no—
541C2×D44—41no—
542C2×D44—41no—
543C2×D44—41no—
544C2×D44—41no—
545C2×D44—41no—
546C2×D44—41no—
547C2×D44—41no—
548C2×D44—41no—
549C2×D44C2×D414yes—
550C2×C4×D11—22no—
551C2×C4×D11—22no—
552C2×C4×D11—22no—
553C2×C4×D11—22no—
554C2×C4×D11—22no—
555C2×C4×D11—22no—
556C2×C4×D11—22no—
557C2×C4×D11—22no—
558C2×C4×D11—22no—
559C2×C4×D11—22no—
560C2×C4×D11—22no—
561C2×C4×D11—22no—
562C2×C4×D11—22no—
563C2×C4×D11—22no—
564C2×C4×D11—41no—
565C2×C4×D11—41no—
566C2×C4×D11—41no—
567C2×C4×D11—41no—
568C2×C4×D11—41no—
569C2×C4×D11—41no—
570C2×C4×D11—41no—
571C2×C4×D11—41no—
572C2×C4×D11—41no—
573C2×C4×D11—41no—
574C2×C4×D11—41no—
575C2×C4×D11—41no—
576C2×C4×D11—416no—
577C2×C4×D11C2×D414yes—
578C2×Dic22—22no—
579C2×Dic22—41no—
580C2×Dic22—41no—
581C11×C4⋊C4—22no—
582C11×C4⋊C4—22no—
583C11×C4⋊C4—41no—
584C11×C22⋊C4—22no—
585C11×C22⋊C4—22no—
586C11×C22⋊C4—22no—
587C11×C22⋊C4—22no—
588C11×C22⋊C4—22no—
589C11×C22⋊C4—41no—
590C11×C22⋊C4—41no—
591C11×C22⋊C4—41no—
592C11×C22⋊C4—41no—
593C11×C22⋊C4—41no—
594C11×C22⋊C4—41no—
595C11×C22⋊C4—41no—
596C11×C22⋊C4—41no—
597C22⋊Dic11—22no—
598C22⋊Dic11—22no—
599C22⋊Dic11—22no—
600C22⋊Dic11—22no—
601C22⋊Dic11—22no—
602C22⋊Dic11—41no—
603C22⋊Dic11—41no—
604C22⋊Dic11—41no—
605C22⋊Dic11—41no—
606C22⋊Dic11—41no—
607C22⋊Dic11—41no—
608C22⋊Dic11—41no—
609C22⋊Dic11—41no—
610(C2×D11)⋊C4—22no—
611(C2×D11)⋊C4—22no—
612(C2×D11)⋊C4—22no—
613(C2×D11)⋊C4—22no—
614(C2×D11)⋊C4—22no—
615(C2×D11)⋊C4—22no—
616(C2×D11)⋊C4—22no—
617(C2×D11)⋊C4—22no—
618(C2×D11)⋊C4—22no—
619(C2×D11)⋊C4—22no—
620(C2×D11)⋊C4—22no—
621(C2×D11)⋊C4—22no—
622(C2×D11)⋊C4—22no—
623(C2×D11)⋊C4—22no—
624(C2×D11)⋊C4—22no—
625(C2×D11)⋊C4—22no—
626(C2×D11)⋊C4—41no—
627(C2×D11)⋊C4—41no—
628(C2×D11)⋊C4—41no—
629(C2×D11)⋊C4—41no—
630(C2×D11)⋊C4—41no—
631(C2×D11)⋊C4—41no—
632(C2×D11)⋊C4—41no—
633(C2×D11)⋊C4—41no—
634(C2×D11)⋊C4—41no—
635(C2×D11)⋊C4—41no—
636(C2×D11)⋊C4—41no—
637(C2×D11)⋊C4—41no—
638(C2×D11)⋊C4—41no—
639(C2×D11)⋊C4—41no—
640(C2×D11)⋊C4—41no—
641(C2×D11)⋊C4—41no—
642C4⋊Dic11—22no—
643C4⋊Dic11—22no—
644C4⋊Dic11—22no—
645C4⋊Dic11—22no—
646C4⋊Dic11—41no—
647C4⋊Dic11—41no—
648C4⋊Dic11—41no—
649Dic11⋊C4—22no—
650Dic11⋊C4—22no—
651Dic11⋊C4—22no—
652Dic11⋊C4—22no—
653Dic11⋊C4—41no—
654Dic11⋊C4—41no—
655Dic11⋊C4—41no—
656Dic11⋊C4—41no—
657C4×Dic11—22no—
658C4×Dic11—22no—
659C2×#535—111no—
660C22×#121—111no—
661#2849—111no—
662#2849—111no—
663#2688—111no—
664#2688—111no—
665#2688—111no—
666#2688D1111yescharacteristic, complemented
667#2686—111no—
668#2686—111no—
669#2686—111no—
670#2686—111no—
671#2673—111no—
672#2673—111no—
673#2673—111no—
674#2673—111no—
675#2671—111no—
676#2671—111no—
677#2671—111no—
678#2671—111no—
679#2613—111no—
680#2613—111no—
681#2484—111no—
682#2482—111no—
683#2412—111no—
684#2412—111no—
685#2410—111no—
686#2410—111no—
687#2406—111no—
688#2404—111no—
689#2308—111no—
690C23×C11—21no—
691C23×C11—21no—
692C23×C11—21no—
693C23×C11—21no—
694C23×C11—21no—
695C23×C11—21no—
696C23×C11—21no—
697C23×C11—21no—
698C23×C11—21no—
699C23×C11—21no—
700C23×C11—21no—
701C23×C11—21no—
702C23×C11—21no—
703C23×C11—21no—
704C23×C11—21no—
705C23×C11—21no—
706C23×C11—21no—
707C23×C11—21no—
708C23×C11—21no—
709C23×C11—21no—
710C23×C11—21no—
711C23×C11—21no—
712C23×C11—21no—
713C23×C11—21no—
714C23×C11—21no—
715C23×C11—21no—
716C23×C11C22×D412yes—
717C23×C11C22×D412yes—
718C23×C11C2511yescharacteristic
719C22×D11—21no—
720C22×D11—21no—
721C22×D11—21no—
722C22×D11—21no—
723C22×D11—21no—
724C22×D11—21no—
725C22×D11—21no—
726C22×D11—21no—
727C22×D11—21no—
728C22×D11—21no—
729C22×D11—21no—
730C22×D11—21no—
731C22×D11—21no—
732C22×D11—21no—
733C22×D11—21no—
734C22×D11—21no—
735C22×D11—28no—
736C22×D11—28no—
737C22×D11—21no—
738C22×D11—21no—
739C22×D11—21no—
740C22×D11—21no—
741C22×D11—21no—
742C22×D11—21no—
743C22×D11—21no—
744C22×D11—21no—
745C22×D11—21no—
746C22×D11—21no—
747C22×D11—21no—
748C22×D11—21no—
749C22×D11—21no—
750C22×D11—21no—
751C22×D11—44no—
752C22×D11—44no—
753C22×D11—44no—
754C22×D11—44no—
755C22×D11—44no—
756C22×D11—44no—
757C22×D11—44no—
758C22×D11—44no—
759C22×D11—44no—
760C22×D11—44no—
761C22×D11—44no—
762C22×D11—82no—
763C22×D11—82no—
764C22×D11—82no—
765C22×D11—82no—
766C22×D11—82no—
767C22×D11—82no—
768C22×D11—82no—
769C22×D11—82no—
770C22×D11C22×D412yes—
771C22×D11C22×D412yes—
772C22×D11C22×D412yes—
773C22×D11H(5,𝔽2)12yes—
774C22×D11H(5,𝔽2)12yes—
775D4×C11—44no—
776D4×C11—44no—
777D4×C11—44no—
778D4×C11—82no—
779D4×C11—82no—
780D4×C11—82no—
781C2×C4×C11—21no—
782C2×C4×C11—21no—
783C2×C4×C11—21no—
784C2×C4×C11—21no—
785C2×C4×C11—21no—
786C2×C4×C11—21no—
787C2×C4×C11—21no—
788C2×C4×C11—21no—
789C2×C4×C11—21no—
790C2×C4×C11—21no—
791C2×C4×C11—21no—
792C2×C4×C11—21no—
793C2×C4×C11—21no—
794C2×C4×C11—21no—
795C2×C4×C11—21no—
796C2×C4×C11—21no—
797C2×C4×C11—21no—
798C2×C4×C11—21no—
799C2×C4×C11—21no—
800C2×C4×C11—21no—
801C2×C4×C11—21no—
802C2×C4×C11—21no—
803C2×C4×C11—21no—
804C2×C4×C11—21no—
805C2×C4×C11—21no—
806C2×C4×C11—21no—
807C2×C4×C11—21no—
808C2×C4×C11—21no—
809C2×C4×C11—21no—
810C2×C4×C11—21no—
811C2×C4×C11—21no—
812C2×C4×C11—44no—
813C2×C4×C11—44no—
814C2×C4×C11—82no—
815C2×C4×C11C22×D412yes—
816C2×C4×C11H(5,𝔽2)12yes—
817C22⋊D11—44no—
818C22⋊D11—44no—
819C22⋊D11—44no—
820C22⋊D11—44no—
821C22⋊D11—44no—
822C22⋊D11—44no—
823C22⋊D11—44no—
824C22⋊D11—44no—
825C22⋊D11—82no—
826C22⋊D11—82no—
827C22⋊D11—82no—
828C22⋊D11—82no—
829C22⋊D11—82no—
830C22⋊D11—82no—
831C2×Dic11—21no—
832C2×Dic11—21no—
833C2×Dic11—21no—
834C2×Dic11—21no—
835C2×Dic11—21no—
836C2×Dic11—21no—
837C2×Dic11—21no—
838C2×Dic11—21no—
839C2×Dic11—21no—
840C2×Dic11—21no—
841C2×Dic11—21no—
842C2×Dic11—21no—
843C2×Dic11—21no—
844C2×Dic11—21no—
845C2×Dic11—21no—
846C2×Dic11—21no—
847C2×Dic11—21no—
848C2×Dic11—21no—
849C2×Dic11—21no—
850C2×Dic11—21no—
851C2×Dic11—21no—
852C2×Dic11—21no—
853C2×Dic11—21no—
854C2×Dic11—21no—
855C2×Dic11—21no—
856C2×Dic11—21no—
857C2×Dic11—21no—
858C2×Dic11—21no—
859C2×Dic11—21no—
860C2×Dic11—21no—
861C2×Dic11—21no—
862C2×Dic11—44no—
863C2×Dic11—82no—
864C2×Dic11C22×D412yes—
865C2×Dic11H(5,𝔽2)12yes—
866D44—44no—
867D44—44no—
868D44—44no—
869D44—44no—
870D44—82no—
871D44—82no—
872D44—82no—
873C4×D11—28no—
874C4×D11—28no—
875C4×D11—44no—
876C4×D11—44no—
877C4×D11—44no—
878C4×D11—44no—
879C4×D11—44no—
880C4×D11—82no—
881C4×D11—82no—
882Dic22—44no—
883C22×#41—111no—
884C23×D4—111no—
885C23×D4—111no—
886C23×D4—111no—
887C24×C4—111no—
888#535—228no—
889C2×#127—111no—
890C2×#127—111no—
891C2×#124—111no—
892C2×#124—111no—
893C2×#123—111no—
894C2×#123—111no—
895C2×#123—111no—
896C2×#123—111no—
897C2×#123—111no—
898C2×#123—111no—
899C2×#121—111no—
900C2×#121—111no—
901C2×#121—111no—
902C2×#121—111no—
903C2×#121—111no—
904C2×#121—111no—
905C2×#121—111no—
906C2×#121—111no—
907C2×#121—111no—
908C2×#121—111no—
909C2×#121—111no—
910C2×#121—111no—
911C2×#121—111no—
912C2×#121—111no—
913C2×#121—228no—
914C2×#121C2×D1111yescharacteristic
915C2×#121C2×D1111yescharacteristic, complemented
916C2×#120—111no—
917C2×#120—111no—
918C2×#120—111no—
919C2×#120—111no—
920C2×#120—111no—
921C2×#120—111no—
922C2×#117—111no—
923C22×C4⋊C4—111no—
924C22×C22⋊C4—111no—
925C22×C22⋊C4—111no—
926C22×C22⋊C4—111no—
927C22×C22⋊C4—111no—
928#400—111no—
929#400C2×D1111yescharacteristic, complemented
930#399—111no—
931#399—111no—
932#398—111no—
933#398—111no—
934#397—111no—
935#397—111no—
936#397—111no—
937#397—111no—
938#397C2×D1111yescharacteristic, complemented
939#397C2×D1111yescharacteristic, complemented
940#395—111no—
941#395—111no—
942#394—111no—
943#394—111no—
944#394—111no—
945#394—111no—
946#394—111no—
947#394—111no—
948#394—111no—
949#394—111no—
950#394—111no—
951#394—111no—
952#394—111no—
953#394—111no—
954#394—111no—
955#394—111no—
956#394—111no—
957#394—111no—
958#394—111no—
959#394C2×D1111yescharacteristic, complemented
960#393—111no—
961#393—111no—
962#392—111no—
963#392—111no—
964#392—111no—
965#392—111no—
966#392—111no—
967#392—111no—
968#392—111no—
969#392—111no—
970#392—111no—
971#392—111no—
972#392—111no—
973#392—111no—
974#392C2×D1111yescharacteristic, complemented
975#392C2×D1111yescharacteristic, complemented
976#388—111no—
977#388—111no—
978#388—111no—
979#388—111no—
980#387—111no—
981#387—111no—
982#387—111no—
983#387—111no—
984#386—111no—
985#386—111no—
986#386—111no—
987#386—111no—
988#386—111no—
989#386—111no—
990#386—111no—
991#386—111no—
992#386—111no—
993#386—111no—
994#386—111no—
995#386—111no—
996#386—111no—
997#386—111no—
998#386—111no—
999#386—111no—
1000#386—111no—
1001#386—111no—
1002#386—111no—
1003#386—111no—
1004#386—111no—
1005#386—111no—
1006#386—111no—
1007#386C2×D1111yescharacteristic, complemented
1008#386C2×D1111yescharacteristic, complemented
1009#386C2×D1111yescharacteristic, complemented
1010#386C2×D1111yescharacteristic, complemented
1011#386C2×D1111yescharacteristic, complemented
1012#385—111no—
1013#385—111no—
1014#385—111no—
1015#385—111no—
1016#385—111no—
1017#385—111no—
1018#385—111no—
1019#385—111no—
1020#385—111no—
1021#385—111no—
1022#385—111no—
1023#385C2×D1111yescharacteristic, complemented
1024#381—111no—
1025#381—111no—
1026#381—111no—
1027#381—111no—
1028#381—111no—
1029#381—111no—
1030#381—111no—
1031#381C2×D1111yescharacteristic, complemented
1032#380—111no—
1033#380—111no—
1034#380—111no—
1035#380—111no—
1036#379—111no—
1037#379—111no—
1038#379—111no—
1039#379—111no—
1040C22×C11—22no—
1041C22×C11—22no—
1042C22×C11—22no—
1043C22×C11—22no—
1044C22×C11—22no—
1045C22×C11—22no—
1046C22×C11—41no—
1047C22×C11—41no—
1048C22×C11—41no—
1049C22×C11—41no—
1050C22×C11—41no—
1051C22×C11—41no—
1052C22×C11—41no—
1053C22×C11—41no—
1054C22×C11—41no—
1055C22×C11—41no—
1056C22×C11—41no—
1057C22×C11—41no—
1058C22×C11—41no—
1059C22×C11—41no—
1060C22×C11—41no—
1061C22×C11—41no—
1062C22×C11—41no—
1063C22×C11—41no—
1064C22×C11—41no—
1065C22×C11—41no—
1066C22×C11—41no—
1067C22×C11—41no—
1068C22×C11C23×D411yescharacteristic
1069C22×C11C2×H(5,𝔽2)11yescharacteristic
1070C22×C11C2×H(5,𝔽2)11yescharacteristic
1071C22×C11C2×H(5,𝔽2)11yescharacteristic
1072C22×C11C2×H(5,𝔽2)11yescharacteristic
1073C22×C11#58511yescharacteristic
1074C22×C11#58511yescharacteristic
1075C2×D11—22no—
1076C2×D11—22no—
1077C2×D11—22no—
1078C2×D11—22no—
1079C2×D11—22no—
1080C2×D11—22no—
1081C2×D11—22no—
1082C2×D11—22no—
1083C2×D11—22no—
1084C2×D11—22no—
1085C2×D11—22no—
1086C2×D11—22no—
1087C2×D11—416no—
1088C2×D11—41no—
1089C2×D11—41no—
1090C2×D11—41no—
1091C2×D11—41no—
1092C2×D11—41no—
1093C2×D11—41no—
1094C2×D11—41no—
1095C2×D11—41no—
1096C2×D11—41no—
1097C2×D11—41no—
1098C2×D11—41no—
1099C2×D11—41no—
1100C2×D11—41no—
1101C2×D11—41no—
1102C2×D11—41no—
1103C2×D11—41no—
1104C2×D11—41no—
1105C2×D11—41no—
1106C2×D11—41no—
1107C2×D11—41no—
1108C2×D11—41no—
1109C2×D11—41no—
1110C2×D11—88no—
1111C2×D11—88no—
1112C2×D11#53414yes—
1113C4×C11—22no—
1114C4×C11—22no—
1115C4×C11—41no—
1116C4×C11—41no—
1117C4×C11—41no—
1118C4×C11—41no—
1119C4×C11—41no—
1120C4×C11—41no—
1121C4×C11—41no—
1122C4×C11—41no—
1123C4×C11—41no—
1124Dic11—22no—
1125Dic11—22no—
1126Dic11—41no—
1127Dic11—41no—
1128Dic11—41no—
1129Dic11—41no—
1130Dic11—41no—
1131Dic11—41no—
1132Dic11—41no—
1133Dic11—41no—
1134Dic11—41no—
1135C25—111no—
1136C25—111no—
1137C25—111no—
1138C2×#41—224no—
1139C2×#41—442no—
1140C2×#41—442no—
1141C22×Q8—111no—
1142C22×D4—111no—
1143C22×D4—111no—
1144C22×D4—118no—
1145C22×D4—111no—
1146C22×D4—111no—
1147C22×D4—111no—
1148C22×D4—111no—
1149C22×D4—111no—
1150C22×D4—111no—
1151C22×D4—111no—
1152C22×D4—111no—
1153C22×D4—111no—
1154C22×D4—111no—
1155C22×D4—111no—
1156C22×D4—111no—
1157C22×D4—111no—
1158C22×D4—111no—
1159C22×D4—111no—
1160C22×D4—111no—
1161C22×D4—111no—
1162C22×D4—111no—
1163C22×D4—111no—
1164C22×D4—224no—
1165C22×D4—224no—
1166C22×D4—442no—
1167C22×D4—442no—
1168C22×D4—442no—
1169C22×D4—442no—
1170C22×D4—442no—
1171C22×D4—442no—
1172C22×D4C22×D1111yescharacteristic
1173C22×D4C22×D1111yescharacteristic
1174C22×D4C22×D1111yescharacteristic
1175C22×D4C22×D1111yescharacteristic
1176C22×D4C22×D1111yescharacteristic
1177C22×D4C22×D1111yescharacteristic
1178C23×C4—111no—
1179C23×C4—111no—
1180C23×C4—111no—
1181C23×C4—111no—
1182C23×C4—111no—
1183C23×C4—111no—
1184C23×C4—111no—
1185C23×C4—111no—
1186C23×C4—111no—
1187C23×C4—111no—
1188C23×C4—111no—
1189C23×C4—224no—
1190C23×C4—442no—
1191C23×C4—442no—
1192C23×C4C22×D1111yescharacteristic
1193C23×C4C22×D1111yescharacteristic
1194C23×C4C22×D1111yescharacteristic
1195#127—224no—
1196#127—224no—
1197#124—224no—
1198#124—224no—
1199#123—442no—
1200#123—442no—
1201#123—442no—
1202#123—442no—
1203#123—442no—
1204#123—442no—
1205#121—24no—
1206#121—24no—
1207#121—224no—
1208#121—224no—
1209#121—224no—
1210#121—224no—
1211#121—224no—
1212#121—224no—
1213#121—224no—
1214#121—224no—
1215#121—224no—
1216#121—224no—
1217#121—442no—
1218#121—442no—
1219#121—442no—
1220#121—442no—
1221#120—224no—
1222#120—224no—
1223#120—224no—
1224#120—224no—
1225#120—442no—
1226#120—442no—
1227#117—224no—
1228C2×C4⋊C4—111no—
1229C2×C4⋊C4—111no—
1230C2×C4⋊C4—111no—
1231C2×C4⋊C4—111no—
1232C2×C4⋊C4—111no—
1233C2×C4⋊C4—111no—
1234C2×C4⋊C4—111no—
1235C2×C4⋊C4—111no—
1236C2×C4⋊C4—111no—
1237C2×C4⋊C4—111no—
1238C2×C4⋊C4—111no—
1239C2×C4⋊C4—111no—
1240C2×C4⋊C4—111no—
1241C2×C4⋊C4—111no—
1242C2×C4⋊C4—111no—
1243C2×C4⋊C4—224no—
1244C2×C4⋊C4C22×D1111yescharacteristic
1245C2×C4⋊C4C22×D1111yescharacteristic
1246C2×C4⋊C4C22×D1111yescharacteristic
1247C2×C22⋊C4—111no—
1248C2×C22⋊C4—111no—
1249C2×C22⋊C4—111no—
1250C2×C22⋊C4—111no—
1251C2×C22⋊C4—111no—
1252C2×C22⋊C4—111no—
1253C2×C22⋊C4—111no—
1254C2×C22⋊C4—111no—
1255C2×C22⋊C4—111no—
1256C2×C22⋊C4—111no—
1257C2×C22⋊C4—111no—
1258C2×C22⋊C4—111no—
1259C2×C22⋊C4—111no—
1260C2×C22⋊C4—111no—
1261C2×C22⋊C4—111no—
1262C2×C22⋊C4—111no—
1263C2×C22⋊C4—111no—
1264C2×C22⋊C4—111no—
1265C2×C22⋊C4—111no—
1266C2×C22⋊C4—111no—
1267C2×C22⋊C4—111no—
1268C2×C22⋊C4—111no—
1269C2×C22⋊C4—111no—
1270C2×C22⋊C4—111no—
1271C2×C22⋊C4—111no—
1272C2×C22⋊C4—111no—
1273C2×C22⋊C4—111no—
1274C2×C22⋊C4—111no—
1275C2×C22⋊C4—111no—
1276C2×C22⋊C4—111no—
1277C2×C22⋊C4—111no—
1278C2×C22⋊C4—111no—
1279C2×C22⋊C4—111no—
1280C2×C22⋊C4—111no—
1281C2×C22⋊C4—111no—
1282C2×C22⋊C4—111no—
1283C2×C22⋊C4—111no—
1284C2×C22⋊C4—111no—
1285C2×C22⋊C4—111no—
1286C2×C22⋊C4—111no—
1287C2×C22⋊C4—111no—
1288C2×C22⋊C4—111no—
1289C2×C22⋊C4—111no—
1290C2×C22⋊C4—111no—
1291C2×C22⋊C4—111no—
1292C2×C22⋊C4—224no—
1293C2×C22⋊C4—224no—
1294C2×C22⋊C4—442no—
1295C2×C22⋊C4—442no—
1296C2×C22⋊C4C22×D1111yescharacteristic
1297C2×C22⋊C4C22×D1111yescharacteristic
1298C2×C22⋊C4C22×D1111yescharacteristic
1299C2×C22⋊C4C22×D1111yescharacteristic
1300C2×C22⋊C4C22×D1111yescharacteristic
1301C2×C22⋊C4C22×D1111yescharacteristic
1302C2×C22⋊C4C22×D1111yescharacteristic
1303C2×C22⋊C4C22×D1111yescharacteristic
1304C2×C22⋊C4C22×D1111yescharacteristic
1305C2×C22⋊C4C22×D1111yescharacteristic
1306C2×C22⋊C4C22×D1111yescharacteristic
1307C2×C22⋊C4C22×D1111yescharacteristic
1308C2×C22⋊C4C22×D1111yescharacteristic
1309C2×C42—111no—
1310C2×C42—111no—
1311#95—111no—
1312#95—111no—
1313#95—111no—
1314#95—111no—
1315#95—111no—
1316#95—111no—
1317#95—111no—
1318#95—111no—
1319#95—111no—
1320#95—111no—
1321#95—111no—
1322#95—111no—
1323#95—111no—
1324#95—111no—
1325#95—111no—
1326#95—111no—
1327#95—111no—
1328#95—111no—
1329#95—111no—
1330#95—111no—
1331#95—111no—
1332#95—111no—
1333#95C22×D1111yescharacteristic
1334#95C22×D1111yescharacteristic
1335#95C22×D1111yescharacteristic
1336#95C22×D1111yescharacteristic
1337#95C22×D1111yescharacteristic
1338#95C22×D1111yescharacteristic
1339#95C22×D1111yescharacteristic
1340#95C22×D1111yescharacteristic
1341#95C22×D1111yescharacteristic
1342#95C22×D1111yescharacteristic
1343C2×C11—42no—
1344C2×C11—42no—
1345C2×C11—81no—
1346C2×C11—81no—
1347C2×C11C2×#53411yescharacteristic
1348C2×C11#348411yescharacteristic
1349C2×C11#348511yescharacteristic
1350C2×C11#354211yescharacteristic
1351C2×C11#354211yescharacteristic
1352C2×C11#354211yescharacteristic
1353C2×C11#354211yescharacteristic
1354D11—24no—
1355D11—42no—
1356D11—42no—
1357D11—81no—
1358D11—81no—
1359C24—111no—
1360C24—111no—
1361C24—111no—
1362C24—114no—
1363C24—114no—
1364C24—111no—
1365C24—111no—
1366C24—222no—
1367C24—222no—
1368C24—222no—
1369C24—222no—
1370C24—222no—
1371C24—222no—
1372C24—222no—
1373C24—441no—
1374C24—441no—
1375C24—441no—
1376C24—441no—
1377C24—441no—
1378C24—441no—
1379C24—441no—
1380C24—441no—
1381C24—441no—
1382C24—441no—
1383C24—441no—
1384C24—441no—
1385C24C23×D1111yescharacteristic
1386C24C23×D1111yescharacteristic
1387C24C23×D1111yescharacteristic
1388C24C23×D1111yescharacteristic
1389#41—4416no—
1390C2×Q8—222no—
1391C2×Q8—441no—
1392C2×Q8—441no—
1393C2×D4—22no—
1394C2×D4—22no—
1395C2×D4—22no—
1396C2×D4—22no—
1397C2×D4—22no—
1398C2×D4—41no—
1399C2×D4—41no—
1400C2×D4—41no—
1401C2×D4—41no—
1402C2×D4—41no—
1403C2×D4—41no—
1404C2×D4—41no—
1405C2×D4—41no—
1406C2×D4—41no—
1407C2×D4—41no—
1408C2×D4—41no—
1409C2×D4—41no—
1410C2×D4—114no—
1411C2×D4—114no—
1412C2×D4—114no—
1413C2×D4—222no—
1414C2×D4—222no—
1415C2×D4—222no—
1416C2×D4—222no—
1417C2×D4—222no—
1418C2×D4—222no—
1419C2×D4—222no—
1420C2×D4—222no—
1421C2×D4—222no—
1422C2×D4—222no—
1423C2×D4—222no—
1424C2×D4—222no—
1425C2×D4—222no—
1426C2×D4—222no—
1427C2×D4—222no—
1428C2×D4—222no—
1429C2×D4—222no—
1430C2×D4—222no—
1431C2×D4—222no—
1432C2×D4—222no—
1433C2×D4—222no—
1434C2×D4—222no—
1435C2×D4—441no—
1436C2×D4—441no—
1437C2×D4—441no—
1438C2×D4—441no—
1439C2×D4—441no—
1440C2×D4—441no—
1441C2×D4—441no—
1442C2×D4—441no—
1443C2×D4—441no—
1444C2×D4—441no—
1445C2×D4—441no—
1446C2×D4—441no—
1447C2×D4—4416no—
1448C2×D4—4416no—
1449C2×D4—441no—
1450C2×D4—441no—
1451C2×D4—441no—
1452C2×D4—441no—
1453C2×D4—441no—
1454C2×D4—441no—
1455C2×D4—441no—
1456C2×D4—441no—
1457C2×D4—441no—
1458C2×D4—441no—
1459C2×D4—441no—
1460C2×D4—441no—
1461C2×D4—441no—
1462C2×D4—441no—
1463C2×D4—441no—
1464C2×D4—441no—
1465C2×D4—441no—
1466C2×D4—441no—
1467C2×D4—441no—
1468C2×D4—441no—
1469C2×D4—441no—
1470C2×D4—441no—
1471C2×D4—441no—
1472C2×D4—441no—
1473C2×D4—441no—
1474C2×D4—441no—
1475C2×D4—4416no—
1476C2×D4D4×D1114yes—
1477C22×C4—22no—
1478C22×C4—22no—
1479C22×C4—22no—
1480C22×C4—41no—
1481C22×C4—41no—
1482C22×C4—41no—
1483C22×C4—41no—
1484C22×C4—41no—
1485C22×C4—41no—
1486C22×C4—111no—
1487C22×C4—111no—
1488C22×C4—114no—
1489C22×C4—111no—
1490C22×C4—111no—
1491C22×C4—111no—
1492C22×C4—111no—
1493C22×C4—111no—
1494C22×C4—111no—
1495C22×C4—111no—
1496C22×C4—111no—
1497C22×C4—111no—
1498C22×C4—222no—
1499C22×C4—222no—
1500C22×C4—222no—
1501C22×C4—222no—
1502C22×C4—222no—
1503C22×C4—222no—
1504C22×C4—222no—
1505C22×C4—222no—
1506C22×C4—222no—
1507C22×C4—222no—
1508C22×C4—222no—
1509C22×C4—222no—
1510C22×C4—222no—
1511C22×C4—222no—
1512C22×C4—222no—
1513C22×C4—222no—
1514C22×C4—441no—
1515C22×C4—441no—
1516C22×C4—441no—
1517C22×C4—441no—
1518C22×C4—441no—
1519C22×C4—441no—
1520C22×C4—441no—
1521C22×C4—441no—
1522C22×C4—441no—
1523C22×C4—441no—
1524C22×C4—441no—
1525C22×C4—441no—
1526C22×C4—4416no—
1527C22×C4—441no—
1528C22×C4—441no—
1529C22×C4—441no—
1530C22×C4—441no—
1531C22×C4C23×D1111yescharacteristic
1532C22×C4C23×D1111yescharacteristic
1533C22×C4C23×D1111yescharacteristic
1534C22×C4C23×D1111yescharacteristic
1535C22×C4C23×D1111yescharacteristic
1536C22×C4C23×D1111yescharacteristic
1537C22×C4C23×D1111yescharacteristic
1538C22×C4C23×D1111yescharacteristic
1539C22×C4C23×D1111yescharacteristic
1540C22×C4C23×D1111yescharacteristic
1541C22×C4C23×D1111yescharacteristic
1542C4⋊C4—22no—
1543C4⋊C4—22no—
1544C4⋊C4—41no—
1545C4⋊C4—222no—
1546C4⋊C4—222no—
1547C4⋊C4—222no—
1548C4⋊C4—222no—
1549C4⋊C4—222no—
1550C4⋊C4—222no—
1551C4⋊C4—222no—
1552C4⋊C4—222no—
1553C4⋊C4—441no—
1554C4⋊C4—441no—
1555C4⋊C4—441no—
1556C4⋊C4—441no—
1557C4⋊C4—441no—
1558C4⋊C4—441no—
1559C4⋊C4—441no—
1560C22⋊C4—22no—
1561C22⋊C4—22no—
1562C22⋊C4—22no—
1563C22⋊C4—22no—
1564C22⋊C4—22no—
1565C22⋊C4—41no—
1566C22⋊C4—41no—
1567C22⋊C4—41no—
1568C22⋊C4—41no—
1569C22⋊C4—41no—
1570C22⋊C4—41no—
1571C22⋊C4—41no—
1572C22⋊C4—41no—
1573C22⋊C4—222no—
1574C22⋊C4—222no—
1575C22⋊C4—222no—
1576C22⋊C4—222no—
1577C22⋊C4—222no—
1578C22⋊C4—222no—
1579C22⋊C4—222no—
1580C22⋊C4—222no—
1581C22⋊C4—222no—
1582C22⋊C4—222no—
1583C22⋊C4—222no—
1584C22⋊C4—222no—
1585C22⋊C4—222no—
1586C22⋊C4—222no—
1587C22⋊C4—222no—
1588C22⋊C4—222no—
1589C22⋊C4—222no—
1590C22⋊C4—222no—
1591C22⋊C4—222no—
1592C22⋊C4—222no—
1593C22⋊C4—222no—
1594C22⋊C4—441no—
1595C22⋊C4—441no—
1596C22⋊C4—441no—
1597C22⋊C4—441no—
1598C22⋊C4—441no—
1599C22⋊C4—441no—
1600C22⋊C4—441no—
1601C22⋊C4—441no—
1602C22⋊C4—441no—
1603C22⋊C4—441no—
1604C22⋊C4—441no—
1605C22⋊C4—441no—
1606C22⋊C4—441no—
1607C22⋊C4—441no—
1608C22⋊C4—441no—
1609C22⋊C4—441no—
1610C22⋊C4—441no—
1611C22⋊C4—441no—
1612C22⋊C4—441no—
1613C22⋊C4—441no—
1614C22⋊C4—441no—
1615C22⋊C4—441no—
1616C22⋊C4—441no—
1617C22⋊C4—441no—
1618C42—222no—
1619C42—222no—
1620C11#3670411yescharacteristic, complemented, Sylow
1621C23—21no—
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—21no—
1626C23—21no—
1627C23—21no—
1628C23—21no—
1629C23—21no—
1630C23—21no—
1631C23—21no—
1632C23—21no—
1633C23—21no—
1634C23—21no—
1635C23—21no—
1636C23—21no—
1637C23—21no—
1638C23—21no—
1639C23—21no—
1640C23—21no—
1641C23—21no—
1642C23—21no—
1643C23—21no—
1644C23—21no—
1645C23—21no—
1646C23—21no—
1647C23—112no—
1648C23—112no—
1649C23—112no—
1650C23—112no—
1651C23—112no—
1652C23—228no—
1653C23—228no—
1654C23—221no—
1655C23—221no—
1656C23—221no—
1657C23—221no—
1658C23—221no—
1659C23—221no—
1660C23—221no—
1661C23—221no—
1662C23—221no—
1663C23—221no—
1664C23—221no—
1665C23—221no—
1666C23—221no—
1667C23—221no—
1668C23—221no—
1669C23—221no—
1670C23—221no—
1671C23—221no—
1672C23—221no—
1673C23—221no—
1674C23—221no—
1675C23—221no—
1676C23—221no—
1677C23—221no—
1678C23—221no—
1679C23—221no—
1680C23—221no—
1681C23—221no—
1682C23—221no—
1683C23—221no—
1684C23—444no—
1685C23—444no—
1686C23—444no—
1687C23—444no—
1688C23—444no—
1689C23—444no—
1690C23—444no—
1691C23—444no—
1692C23—444no—
1693C23—444no—
1694C23—444no—
1695C23—882no—
1696C23—882no—
1697C23—882no—
1698C23—882no—
1699C23—882no—
1700C23—882no—
1701C23—882no—
1702C23—882no—
1703C23C2×D4×D1112yes—
1704C23C2×D4×D1112yes—
1705C23C24×D1111yescharacteristic
1706Q8—444no—
1707D4—44no—
1708D4—44no—
1709D4—44no—
1710D4—82no—
1711D4—82no—
1712D4—82no—
1713D4—444no—
1714D4—444no—
1715D4—444no—
1716D4—444no—
1717D4—444no—
1718D4—444no—
1719D4—444no—
1720D4—444no—
1721D4—444no—
1722D4—444no—
1723D4—444no—
1724D4—444no—
1725D4—882no—
1726D4—882no—
1727D4—882no—
1728D4—882no—
1729D4—882no—
1730D4—882no—
1731D4—882no—
1732D4—882no—
1733D4—882no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—44no—
1766C2×C4—44no—
1767C2×C4—82no—
1768C2×C4—112no—
1769C2×C4—112no—
1770C2×C4—228no—
1771C2×C4—228no—
1772C2×C4—221no—
1773C2×C4—221no—
1774C2×C4—221no—
1775C2×C4—221no—
1776C2×C4—221no—
1777C2×C4—221no—
1778C2×C4—221no—
1779C2×C4—221no—
1780C2×C4—221no—
1781C2×C4—221no—
1782C2×C4—221no—
1783C2×C4—221no—
1784C2×C4—221no—
1785C2×C4—221no—
1786C2×C4—221no—
1787C2×C4—221no—
1788C2×C4—221no—
1789C2×C4—221no—
1790C2×C4—221no—
1791C2×C4—221no—
1792C2×C4—221no—
1793C2×C4—221no—
1794C2×C4—221no—
1795C2×C4—221no—
1796C2×C4—221no—
1797C2×C4—221no—
1798C2×C4—221no—
1799C2×C4—221no—
1800C2×C4—221no—
1801C2×C4—221no—
1802C2×C4—221no—
1803C2×C4—444no—
1804C2×C4—444no—
1805C2×C4—444no—
1806C2×C4—444no—
1807C2×C4—444no—
1808C2×C4—444no—
1809C2×C4—882no—
1810C2×C4—882no—
1811C2×C4—882no—
1812C2×C4C2×D4×D1112yes—
1813C2×C4#6704212yes—
1814C22—22no—
1815C22—22no—
1816C22—22no—
1817C22—22no—
1818C22—22no—
1819C22—22no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—41no—
1830C22—41no—
1831C22—41no—
1832C22—41no—
1833C22—41no—
1834C22—41no—
1835C22—41no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—114no—
1843C22—222no—
1844C22—222no—
1845C22—222no—
1846C22—222no—
1847C22—222no—
1848C22—222no—
1849C22—222no—
1850C22—222no—
1851C22—222no—
1852C22—222no—
1853C22—222no—
1854C22—222no—
1855C22—4416no—
1856C22—441no—
1857C22—441no—
1858C22—441no—
1859C22—441no—
1860C22—441no—
1861C22—441no—
1862C22—441no—
1863C22—441no—
1864C22—441no—
1865C22—441no—
1866C22—441no—
1867C22—441no—
1868C22—441no—
1869C22—441no—
1870C22—441no—
1871C22—441no—
1872C22—441no—
1873C22—441no—
1874C22—441no—
1875C22—441no—
1876C22—441no—
1877C22—441no—
1878C22—888no—
1879C22—888no—
1880C22C22×D4×D1111yescharacteristic
1881C22C2×#6704211yescharacteristic
1882C22#1062345311yescharacteristic
1883C22D11×H(5,𝔽2)11yescharacteristic
1884C22D11×H(5,𝔽2)11yescharacteristic
1885C22D11×H(5,𝔽2)11yescharacteristic
1886C22#1062345511yescharacteristic
1887C4—22no—
1888C4—22no—
1889C4—41no—
1890C4—41no—
1891C4—41no—
1892C4—41no—
1893C4—41no—
1894C4—41no—
1895C4—41no—
1896C4—41no—
1897C4—41no—
1898C4—222no—
1899C4—222no—
1900C4—441no—
1901C4—441no—
1902C4—441no—
1903C4—441no—
1904C4—441no—
1905C4—441no—
1906C4—441no—
1907C4—441no—
1908C4—441no—
1909C2—42no—
1910C2—42no—
1911C2—81no—
1912C2—81no—
1913C2—224no—
1914C2—442no—
1915C2—442no—
1916C2—881no—
1917C2—881no—
1918C2D11×#53411yescharacteristic
1919C2#1308224611yescharacteristic
1920C2#1308225311yescharacteristic
1921C2#1308292111yescharacteristic
1922C2#1308293111yescharacteristic
1923C2#1308293511yescharacteristic
1924C2#1308293811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2688C2
hypercenter#2688D11
hypocenterC11#36704
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2688

Complements

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

NH ≅ G/Ntype
1. C2×#10623138C2semidirect
2. C2×D11×#121C2semidirect
3. #13076909C2semidirect
4. #13076907C2semidirect
5. #13075059C2semidirect
6. #13075057C2semidirect
7. #13075046C2semidirect
8. #13075024C2semidirect
9. #13075022C2semidirect
10. #13075017C2semidirect
11. #13075015C2semidirect
12. #13074888C2semidirect
13. #13074886C2semidirect
14. #13074881C2semidirect
15. #13074879C2semidirect
16. #13074855C2semidirect
17. #13074853C2semidirect
18. #13074850C2semidirect
19. #13074848C2semidirect
20. #13074329C2semidirect
21. #13074327C2semidirect
22. #13072904C2semidirect
23. #13072885C2semidirect
24. #13072011C2semidirect
25. #13072005C2semidirect
26. #13071989C2semidirect
27. #13071983C2semidirect
28. #13071949C2semidirect
29. #13071933C2semidirect
30. #13071190C2semidirect
31. C11×#2688C2semidirect
38. C2×C11×#121C22semidirect
39. C2×#66993C22semidirect
40. C2×#66993C22semidirect
43. C2×#66992C22semidirect
45. C2×#66991C22semidirect
46. C2×#66991C22semidirect
51. C2×#66983C22semidirect
52. C2×#66983C22semidirect
53. C2×#66982C22semidirect
58. C2×#66948C22semidirect
62. C2×#66939C22semidirect
63. C2×#66938C22semidirect
64. C2×#66938C22semidirect
67. C2×#66937C22semidirect
69. C2×#66936C22semidirect
70. C2×#66936C22semidirect
77. C11×#400C22semidirect
78. C11×#397C22semidirect
79. C11×#397C22semidirect
80. C11×#394C22semidirect
81. C11×#392C22semidirect
82. C11×#392C22semidirect
83. C11×#386C22semidirect
84. C11×#386C22semidirect
85. C11×#386C22semidirect
86. C11×#386C22semidirect
87. C11×#386C22semidirect
88. C11×#385C22semidirect
89. C11×#381C22semidirect
90. #10622836C22semidirect
91. #10622836C22semidirect
92. #10622836C22semidirect
93. #10622836C22semidirect
94. #10622836C22semidirect
95. #10622835C22semidirect
96. #10622835C22semidirect
97. #10622833C22semidirect
98. #10622833C22semidirect
99. #10622833C22semidirect
100. #10622826C22semidirect
101. #10622826C22semidirect
102. #10622825C22semidirect
103. #10622823C22semidirect
104. #10622823C22semidirect
105. #10622606C22semidirect
106. #10622604C22semidirect
107. #10622602C22semidirect
108. #10622600C22semidirect
109. #10622596C22semidirect
110. #10622595C22semidirect
111. #10622592C22semidirect
112. #10622574C22semidirect
113. #10622574C22semidirect
114. #10622574C22semidirect
115. #10622574C22semidirect
116. #10622574C22semidirect
117. #10622574C22semidirect
118. #10622574C22semidirect
119. #10622573C22semidirect
120. #10622573C22semidirect
121. #10622573C22semidirect
122. #10622573C22semidirect
123. #10622573C22semidirect
124. #10622572C22semidirect
125. #10622572C22semidirect
126. #10622572C22semidirect
127. #10622572C22semidirect
128. #10622572C22semidirect
129. #10622571C22semidirect
130. #10622571C22semidirect
133. #10622569C22semidirect
134. #10622569C22semidirect
135. #10622569C22semidirect
136. #10622569C22semidirect
141. #10622565C22semidirect
142. #10622564C22semidirect
143. #10622564C22semidirect
144. #10622563C22semidirect
145. #10622562C22semidirect
146. #10622560C22semidirect
147. #10622556C22semidirect
148. #10622555C22semidirect
149. #10622290C22semidirect
150. #10622288C22semidirect
151. #10622287C22semidirect
152. #10622286C22semidirect
153. #10622285C22semidirect
154. #10622285C22semidirect
155. #10622284C22semidirect
156. #10622284C22semidirect
157. #10622282C22semidirect
158. #10622282C22semidirect
163. #10622281C22semidirect
164. #10622281C22semidirect
165. #10622281C22semidirect
166. #10622280C22semidirect
169. #10622278C22semidirect
170. #10622278C22semidirect
171. #10622278C22semidirect
172. #10622278C22semidirect
173. #10622278C22semidirect
174. #10622278C22semidirect
175. #10622278C22semidirect
176. #10622278C22semidirect
181. #10622277C22semidirect
182. #10622277C22semidirect
183. #10622274C22semidirect
184. #10622269C22semidirect
185. #10622268C22semidirect
186. #10622268C22semidirect
187. #10622267C22semidirect
188. #10622267C22semidirect
225. C2×D4×D11D4semidirect
666. #2688D11semidirect
915. C2×#121C2×D11semidirect
929. #400C2×D11semidirect
938. #397C2×D11semidirect
939. #397C2×D11semidirect
959. #394C2×D11semidirect
974. #392C2×D11semidirect
975. #392C2×D11semidirect
1007. #386C2×D11semidirect
1008. #386C2×D11semidirect
1009. #386C2×D11semidirect
1010. #386C2×D11semidirect
1011. #386C2×D11semidirect
1023. #385C2×D11semidirect
1031. #381C2×D11semidirect
1620. C11#36704semidirect

Maximal subgroups

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

subgroupindex
C2×#106231382
C2×D11×#1212
#130769092
#130769072
#130750592
#130750572
#130750462
#130750242
#130750222
#130750172
#130750152
#130748882
#130748862
#130748812
#130748792
#130748552
#130748532
#130748502
#130748482
#130743292
#130743272
#130729042
#130728852
#130720112
#130720052
#130719892
#130719832
#130719492
#130719332
#130711902
C11×#26882
#3670411