Finite Group Databasebeta

← #14923950

Subgroups — #14923950

Order 2816.

2804 conjugacy classes of subgroups.

The subgroup lattice has 1708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623180C211yesmaximal, characteristic, complemented
2C2×#10623117C211yesmaximal, characteristic, complemented
3#13073765C211yesmaximal, characteristic, complemented
4#13073750C211yesmaximal, characteristic, complemented
5#13073735C211yesmaximal, characteristic, complemented
6#13073720C211yesmaximal, characteristic, complemented
7#13073701C211yesmaximal, characteristic, complemented
8#13073686C211yesmaximal, characteristic, complemented
9#13073677C211yesmaximal, characteristic, complemented
10#13073662C211yesmaximal, characteristic, complemented
11#13073622C211yesmaximal, characteristic, complemented
12#13073578C211yesmaximal, characteristic, complemented
13#13073506C211yesmaximal, characteristic, complemented
14#13072946C211yesmaximal, characteristic, complemented
15#13072741C211yesmaximal, characteristic, complemented
16#13072163C211yesmaximal, characteristic, complemented
17#13072148C211yesmaximal, characteristic, complemented
18#13071885C211yesmaximal, characteristic, complemented
19#13071881C211yesmaximal, characteristic, complemented
20#13071851C211yesmaximal, characteristic, complemented
21#13071828C211yesmaximal, characteristic, complemented
22#13071163C211yesmaximal, characteristic, complemented
23#123×Dic11C211yesmaximal, characteristic, complemented
24#13071132C211yesmaximal, characteristic, complemented
25#121×Dic11C211yesmaximal, characteristic, complemented
26#120×Dic11C211yesmaximal, characteristic, complemented
27#13071103C211yesmaximal, characteristic, complemented
28#13071078C211yesmaximal, characteristic, complemented
29C4×(C22⋊D11)⋊C4C211yesmaximal, characteristic, complemented
30C2×C22⋊C4×Dic11C211yesmaximal, characteristic, complemented
31C11×#2539C211yesmaximal, characteristic, complemented
32C24×Dic11C2211yescharacteristic
33C22×#4341C2211yescharacteristic
34C2×C11×#123C2211yescharacteristic
35C2×C11×#123C2211yescharacteristic
36C2×C11×#121C2211yescharacteristic
37C2×C11×#120C2211yescharacteristic
38C2×C11×#120C2211yescharacteristic
39C22×C11×C22⋊C4C2211yescharacteristic
40C2×#67006C2211yescharacteristic
41C22×C22⋊Dic11C2211yescharacteristic
42C2×#66992C2211yescharacteristic
43C2×#66992C2211yescharacteristic
44C2×#66992C2211yescharacteristic
45C2×#66991C2211yescharacteristic
46C2×#66989C2211yescharacteristic
47C2×#66988C2211yescharacteristic
48C2×D4×Dic11C2211yescharacteristic
49C2×D4×Dic11C2211yescharacteristic
50C2×D4×Dic11C2211yescharacteristic
51C2×D4×Dic11C2211yescharacteristic
52C2×D4×Dic11C2211yescharacteristic
53C2×D4×Dic11C2211yescharacteristic, complemented
54C2×#66982C2211yescharacteristic
55C2×C4×C22⋊D11C2211yescharacteristic
56C22×C4×Dic11C2211yescharacteristic
57C22×C4×Dic11C2211yescharacteristic
58#10623180—28no—
59#10623117—28no—
60C2×#66951C2211yescharacteristic, complemented
61C2×#66945C2211yescharacteristic, complemented
62C2×#66942C2211yescharacteristic, complemented
63C2×#66940C2211yescharacteristic, complemented
64C2×#66939C2211yescharacteristic
65C2×#66938C2211yescharacteristic, complemented
66C2×(C22⋊D11)⋊C4C2211yescharacteristic
67C2×(C22⋊D11)⋊C4C2211yescharacteristic
68C2×(C22⋊D11)⋊C4C2211yescharacteristic
69C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
70C2×#66932C2211yescharacteristic, complemented
71C2×#66931C2211yescharacteristic
72C2×#66931C2211yescharacteristic
73C2×#66931C2211yescharacteristic
74C2×#66930C2211yescharacteristic
75C2×#66930C2211yescharacteristic, complemented
76C2×C42×D11C2211yescharacteristic, complemented
77C11×#399C2211yescharacteristic
78C11×#399C2211yescharacteristic
79C11×#392C2211yescharacteristic
80C11×#392C2211yescharacteristic
81C11×#390C2211yescharacteristic
82C11×#390C2211yescharacteristic
83C11×#390C2211yescharacteristic
84C11×#390C2211yescharacteristic
85C4×C11×C22⋊C4C2211yescharacteristic
86#10622860C2211yescharacteristic
87#10622836C2211yescharacteristic
88#10622836C2211yescharacteristic, complemented
89#10622835C2211yescharacteristic
90#10622835C2211yescharacteristic
91#10622835C2211yescharacteristic
92#10622835C2211yescharacteristic, complemented
93#10622834C2211yescharacteristic
94#10622834C2211yescharacteristic
95#10622834C2211yescharacteristic, complemented
96#10622833C2211yescharacteristic
97#10622833C2211yescharacteristic
98#10622833C2211yescharacteristic
99#10622833C2211yescharacteristic
100#10622833C2211yescharacteristic
101#10622833C2211yescharacteristic
102#10622825C2211yescharacteristic
103#10622824C2211yescharacteristic
104C2×C11⋊#95C2211yescharacteristic
105C2×C11⋊#95C2211yescharacteristic
106#10622606C2211yescharacteristic, complemented
107#10622606C2211yescharacteristic, complemented
108#10622600C2211yescharacteristic, complemented
109#10622598C2211yescharacteristic, complemented
110#10622595C2211yescharacteristic, complemented
111#10622595C2211yescharacteristic, complemented
112#10622594C2211yescharacteristic, complemented
113#10622594C2211yescharacteristic, complemented
114#10622593C2211yescharacteristic, complemented
115#10622593C2211yescharacteristic, complemented
116#10622590C2211yescharacteristic, complemented
117C4⋊C4×Dic11C2211yescharacteristic, complemented
118C4⋊C4×Dic11C2211yescharacteristic, complemented
119C4⋊C4×Dic11C2211yescharacteristic, complemented
120#10622587C2211yescharacteristic, complemented
121#10622586C2211yescharacteristic, complemented
122#10622574C2211yescharacteristic
123#10622574C2211yescharacteristic
124#10622574C2211yescharacteristic
125#10622574C2211yescharacteristic, complemented
126#10622569C2211yescharacteristic
127#10622569C2211yescharacteristic
128#10622569C2211yescharacteristic
129#10622569C2211yescharacteristic, complemented
130#10622569C2211yescharacteristic, complemented
131#10622569C2211yescharacteristic, complemented
132#10622566C2211yescharacteristic
133#10622566C2211yescharacteristic, complemented
134#10622564C2211yescharacteristic, complemented
135#10622564C2211yescharacteristic, complemented
136#10622564C2211yescharacteristic, complemented
137#10622564C2211yescharacteristic, complemented
138#10622563C2211yescharacteristic
139#10622563C2211yescharacteristic
140#10622563C2211yescharacteristic
141#10622563C2211yescharacteristic
142#10622561C2211yescharacteristic
143#10622561C2211yescharacteristic
144#10622561C2211yescharacteristic
145#10622561C2211yescharacteristic, complemented
146#10622560C2211yescharacteristic
147#10622560C2211yescharacteristic, complemented
148#10622558C2211yescharacteristic
149#10622558C2211yescharacteristic
150#10622558C2211yescharacteristic, complemented
151#10622558C2211yescharacteristic, complemented
152#10622557C2211yescharacteristic
153#10622557C2211yescharacteristic
154#10622557C2211yescharacteristic
155#10622557C2211yescharacteristic, complemented
156#10622557C2211yescharacteristic, complemented
157#10622557C2211yescharacteristic, complemented
158C22⋊C4×Dic11C2211yescharacteristic
159C22⋊C4×Dic11C2211yescharacteristic
160C22⋊C4×Dic11C2211yescharacteristic
161C22⋊C4×Dic11C2211yescharacteristic
162C22⋊C4×Dic11C2211yescharacteristic
163C22⋊C4×Dic11C2211yescharacteristic
164C22⋊C4×Dic11C2211yescharacteristic
165C22⋊C4×Dic11C2211yescharacteristic
166C22⋊C4×Dic11C2211yescharacteristic
167C22⋊C4×Dic11C2211yescharacteristic
168C22⋊C4×Dic11C2211yescharacteristic
169C22⋊C4×Dic11C2211yescharacteristic
170C22⋊C4×Dic11C2211yescharacteristic, complemented
171C22⋊C4×Dic11C2211yescharacteristic, complemented
172C22⋊C4×Dic11C2211yescharacteristic, complemented
173C22⋊C4×Dic11C2211yescharacteristic, complemented
174C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
175C4×Dic11⋊C4C2211yescharacteristic, complemented
176C42×Dic11C2211yescharacteristic, complemented
177#10622542C2211yescharacteristic, complemented
178#10622542C2211yescharacteristic, complemented
179#10622541C2211yescharacteristic, complemented
180#10622541C2211yescharacteristic, complemented
181#10622279C2211yescharacteristic, complemented
182#10622279C2211yescharacteristic, complemented
183#10622274C2211yescharacteristic, complemented
184#10622274C2211yescharacteristic, complemented
185#10622269C2211yescharacteristic, complemented
186#10622269C2211yescharacteristic, complemented
187#10622262C2211yescharacteristic, complemented
188#10622262C2211yescharacteristic, complemented
189C25×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C22×D4×C11C2311yescharacteristic
195C22×D4×C11C2311yescharacteristic
196C22×D4×C11C2311yescharacteristic
197C23×C4×C11C2311yescharacteristic
198C23×C4×C11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C22×C22⋊D11C2311yescharacteristic
202C22×C22⋊D11C2311yescharacteristic
203C22×C22⋊D11C2311yescharacteristic
204C23×Dic11—24no—
205C23×Dic11—24no—
206C23×Dic11—42no—
207C23×Dic11C2311yescharacteristic
208C23×Dic11C2311yescharacteristic
209C23×Dic11C2311yescharacteristic
210C23×Dic11C2311yescharacteristic
211C23×Dic11C2311yescharacteristic
212C23×Dic11C2311yescharacteristic
213C23×Dic11C2311yescharacteristic
214C23×Dic11C2311yescharacteristic
215C23×Dic11C2311yescharacteristic
216C23×Dic11C2311yescharacteristic
217C2×#4341—24no—
218C2×#4341—24no—
219C2×#4341—42no—
220C22×C4×D11C2311yescharacteristic
221C22×C4×D11C2311yescharacteristic
222C22×C4×D11C2311yescharacteristic
223C22×Dic22C2311yescharacteristic
224C22×Dic22C2311yescharacteristic
225C11×#123—24no—
226C11×#123—24no—
227C11×#121—24no—
228C11×#120—24no—
229C11×#120—24no—
230C2×C11×C4⋊C4C2311yescharacteristic
231C2×C11×C4⋊C4C2311yescharacteristic
232C2×C11×C4⋊C4C2311yescharacteristic
233C2×C11×C4⋊C4C2311yescharacteristic
234C2×C11×C4⋊C4C2311yescharacteristic
235C2×C11×C22⋊C4—24no—
236C2×C11×C22⋊C4C2311yescharacteristic
237C2×C11×C22⋊C4C2311yescharacteristic
238C2×C11×C22⋊C4C2311yescharacteristic
239C2×C11×C22⋊C4C2311yescharacteristic
240C2×C11×C22⋊C4C2311yescharacteristic
241C2×C11×C22⋊C4C2311yescharacteristic
242C2×C11×C22⋊C4C2311yescharacteristic
243C2×C11×C22⋊C4C2311yescharacteristic
244C2×C11×C22⋊C4C2311yescharacteristic
245C2×C11×C22⋊C4C2311yescharacteristic
246C2×C11×C22⋊C4C2311yescharacteristic
247C2×C11×C22⋊C4C2311yescharacteristic
248C2×C11×C22⋊C4C2311yescharacteristic
249C2×C11×C22⋊C4C2311yescharacteristic
250C2×C11×C22⋊C4C2311yescharacteristic
251C2×C11×C22⋊C4C2311yescharacteristic
252C2×C42×C11C2311yescharacteristic
253C2×C42×C11C2311yescharacteristic
254#67006—24no—
255C2×C22⋊Dic11—24no—
256C2×C22⋊Dic11C2311yescharacteristic
257C2×C22⋊Dic11C2311yescharacteristic
258C2×C22⋊Dic11C2311yescharacteristic
259C2×C22⋊Dic11C2311yescharacteristic
260C2×C22⋊Dic11C2311yescharacteristic
261C2×C22⋊Dic11C2311yescharacteristic
262C2×C22⋊Dic11C2311yescharacteristic
263C2×C22⋊Dic11C2311yescharacteristic
264C2×C22⋊Dic11C2311yescharacteristic
265C2×C22⋊Dic11C2311yescharacteristic
266C2×C22⋊Dic11C2311yescharacteristic
267C2×C22⋊Dic11C2311yescharacteristic
268C2×C22⋊Dic11C2311yescharacteristic
269C2×C22⋊Dic11C2311yescharacteristic
270C2×C22⋊Dic11C2311yescharacteristic
271C2×C22⋊Dic11C2311yescharacteristic
272C2×C22⋊Dic11C2311yescharacteristic
273C2×C22⋊Dic11C2311yescharacteristic
274C2×C22⋊Dic11C2311yescharacteristic
275C2×C22⋊Dic11C2311yescharacteristic
276C2×C22⋊Dic11C2311yescharacteristic
277C2×C22⋊Dic11C2311yescharacteristic
278C2×C22⋊Dic11C2311yescharacteristic
279C2×C22⋊Dic11C2311yescharacteristic
280C2×C22⋊Dic11C2311yescharacteristic
281#66992—24no—
282#66992—24no—
283#66992—24no—
284#66991—24no—
285#66989—24no—
286#66988—24no—
287D4×Dic11—24no—
288D4×Dic11—24no—
289D4×Dic11—24no—
290D4×Dic11—24no—
291D4×Dic11—42no—
292D4×Dic11—42no—
293#66982—24no—
294C4×C22⋊D11—24no—
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×C4⋊Dic11C2311yescharacteristic
303C2×C4⋊Dic11C2311yescharacteristic
304C2×C4⋊Dic11C2311yescharacteristic
305C2×C4⋊Dic11C2311yescharacteristic
306C2×C4⋊Dic11C2311yescharacteristic
307C2×C4⋊Dic11C2311yescharacteristic
308C2×C4⋊Dic11C2311yescharacteristic
309C2×C4⋊Dic11C2311yescharacteristic
310C2×C4⋊Dic11C2311yescharacteristic
311C2×C4⋊Dic11C2311yescharacteristic
312C2×Dic11⋊C4C2311yescharacteristic
313C2×Dic11⋊C4C2311yescharacteristic
314C2×Dic11⋊C4C2311yescharacteristic
315C2×Dic11⋊C4C2311yescharacteristic
316C2×Dic11⋊C4C2311yescharacteristic
317C2×Dic11⋊C4C2311yescharacteristic
318C2×Dic11⋊C4C2311yescharacteristic
319C2×Dic11⋊C4C2311yescharacteristic
320C2×Dic11⋊C4C2311yescharacteristic
321C2×Dic11⋊C4C2311yescharacteristic
322C2×Dic11⋊C4C2311yescharacteristic
323C2×C4×Dic11—24no—
324C2×C4×Dic11—42no—
325C2×C4×Dic11C2311yescharacteristic
326C2×C4×Dic11C2311yescharacteristic
327C2×C4×Dic11C2311yescharacteristic
328C2×C4×Dic11C2311yescharacteristic
329C2×C4×Dic11C2311yescharacteristic
330C2×C4×Dic11C2311yescharacteristic
331C2×C4×Dic11C2311yescharacteristic
332C2×C4×Dic11C2311yescharacteristic
333C2×C4×Dic11C2311yescharacteristic
334C2×C4×Dic11C2311yescharacteristic
335C2×C4×Dic11C2311yescharacteristic
336C2×C4×Dic11C2311yescharacteristic
337C2×C4×Dic11C2311yescharacteristic
338C2×C4×Dic11C2311yescharacteristic
339C2×C4×Dic11C2311yescharacteristic
340C2×C4×Dic11C2311yescharacteristic
341C2×C4×Dic11C2311yescharacteristic
342#66951—24no—
343#66945—24no—
344#66942—24no—
345#66940—24no—
346#66939—24no—
347#66938—24no—
348(C22⋊D11)⋊C4—24no—
349(C22⋊D11)⋊C4—24no—
350(C22⋊D11)⋊C4—24no—
351(C22⋊D11)⋊C4D418yescomplemented
352#66932—24no—
353#66931—24no—
354#66931—24no—
355#66931—24no—
356#66930—24no—
357#66930—24no—
358C42×D11—42no—
359C11×#95C2311yescharacteristic
360C11×#95C2311yescharacteristic
361C11⋊#95C2311yescharacteristic
362C11⋊#95C2311yescharacteristic
363C11⋊#95C2311yescharacteristic
364C11⋊#95C2311yescharacteristic
365C11⋊#95C2311yescharacteristic
366C11⋊#95C2311yescharacteristic
367C11⋊#95C2311yescharacteristic
368C11⋊#95C2311yescharacteristic
369C11⋊#95C2311yescharacteristic
370C11⋊#95C2311yescharacteristic
371C11⋊#95C2311yescharacteristic
372C11⋊#95C2311yescharacteristic
373C11⋊#95C2311yescharacteristic
374C11⋊#95C2311yescharacteristic
375C11⋊#95C2311yescharacteristic
376C11⋊#95C2311yescharacteristic
377C11⋊#95C2311yescharacteristic
378C11⋊#95C2311yescharacteristic
379C11⋊#95C2311yescharacteristic
380C11⋊#95C2311yescharacteristic
381C11⋊#95C2311yescharacteristic
382C11⋊#95C2311yescharacteristic
383C11⋊#95C2311yescharacteristic
384C11⋊#95C2311yescharacteristic
385C11⋊#95C2311yescharacteristic
386C11⋊#95C2311yescharacteristic
387C11⋊#95C2311yescharacteristic
388C11⋊#95C2311yescharacteristic
389C11⋊#95C2311yescharacteristic
390C11⋊#95C2311yescharacteristic
391#34829—111nomaximal, Sylow
392C24×C11—22no—
393C24×C11—22no—
394C24×C11—22no—
395C24×C11—22no—
396C24×C11—22no—
397C24×C11—41no—
398C24×C11—41no—
399C24×C11C2411yescharacteristic
400C24×C11C2411yescharacteristic
401C24×C11C2411yescharacteristic
402C24×C11C2411yescharacteristic
403C24×C11C2411yescharacteristic
404C23×D11C2411yescharacteristic
405C2×D4×C11—22no—
406C2×D4×C11—22no—
407C2×D4×C11—22no—
408C2×D4×C11—22no—
409C2×D4×C11—22no—
410C2×D4×C11—22no—
411C2×D4×C11—22no—
412C2×D4×C11—22no—
413C2×D4×C11—22no—
414C2×D4×C11—22no—
415C2×D4×C11—22no—
416C2×D4×C11—22no—
417C2×D4×C11—22no—
418C2×D4×C11—22no—
419C2×D4×C11—22no—
420C2×D4×C11—41no—
421C2×D4×C11—41no—
422C2×D4×C11—41no—
423C2×D4×C11—41no—
424C2×D4×C11—41no—
425C2×D4×C11—41no—
426C22×C4×C11—22no—
427C22×C4×C11—22no—
428C22×C4×C11—22no—
429C22×C4×C11—41no—
430C22×C4×C11—41no—
431C22×C4×C11#4114yescomplemented
432C22×C4×C11C2411yescharacteristic
433C22×C4×C11C2411yescharacteristic
434C22×C4×C11C2411yescharacteristic
435C22×C4×C11C2411yescharacteristic
436C22×C4×C11C2411yescharacteristic
437C22×C4×C11C2411yescharacteristic
438C22×C4×C11C2411yescharacteristic
439C22×C4×C11C2411yescharacteristic
440C22×C4×C11C2411yescharacteristic
441C22×C4×C11C2411yescharacteristic
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⋊D11C2×D414yes—
457C22×Dic11—22no—
458C22×Dic11—22no—
459C22×Dic11—22no—
460C22×Dic11—22no—
461C22×Dic11—22no—
462C22×Dic11—22no—
463C22×Dic11—22no—
464C22×Dic11—22no—
465C22×Dic11—22no—
466C22×Dic11—22no—
467C22×Dic11—22no—
468C22×Dic11—22no—
469C22×Dic11—22no—
470C22×Dic11—22no—
471C22×Dic11—22no—
472C22×Dic11—22no—
473C22×Dic11—22no—
474C22×Dic11—22no—
475C22×Dic11—22no—
476C22×Dic11—22no—
477C22×Dic11—22no—
478C22×Dic11—22no—
479C22×Dic11—22no—
480C22×Dic11—41no—
481C22×Dic11—41no—
482C22×Dic11—41no—
483C22×Dic11—41no—
484C22×Dic11—41no—
485C22×Dic11—416no—
486C22×Dic11C2×D414yes—
487C22×Dic11#4114yes—
488C22×Dic11C2411yescharacteristic
489C22×Dic11C2411yescharacteristic
490C22×Dic11C2411yescharacteristic
491C22×Dic11C2411yescharacteristic
492C22×Dic11C2411yescharacteristic
493C22×Dic11C2411yescharacteristic
494C22×Dic11C2411yescharacteristic
495C22×Dic11C2411yescharacteristic
496C22×Dic11C2411yescharacteristic
497C22×Dic11C2411yescharacteristic
498C22×Dic11C2411yescharacteristic
499C22×Dic11C2411yescharacteristic
500C22×Dic11C2411yescharacteristic
501C22×Dic11C2411yescharacteristic
502C22×Dic11C2411yescharacteristic
503#4341—416no—
504C2×C4×D11—22no—
505C2×C4×D11—22no—
506C2×C4×D11—22no—
507C2×C4×D11—22no—
508C2×C4×D11—22no—
509C2×C4×D11—41no—
510C2×C4×D11—41no—
511C2×C4×D11—41no—
512C2×C4×D11C2×D414yes—
513C2×Dic22—22no—
514C2×Dic22—22no—
515C2×Dic22—22no—
516C2×Dic22—22no—
517C2×Dic22—41no—
518C2×Dic22—41no—
519C11×C4⋊C4—22no—
520C11×C4⋊C4—22no—
521C11×C4⋊C4—22no—
522C11×C4⋊C4—22no—
523C11×C4⋊C4—22no—
524C11×C22⋊C4—22no—
525C11×C22⋊C4—22no—
526C11×C22⋊C4—22no—
527C11×C22⋊C4—22no—
528C11×C22⋊C4—22no—
529C11×C22⋊C4—22no—
530C11×C22⋊C4—22no—
531C11×C22⋊C4—22no—
532C11×C22⋊C4—22no—
533C11×C22⋊C4—22no—
534C11×C22⋊C4—22no—
535C11×C22⋊C4—22no—
536C11×C22⋊C4—22no—
537C11×C22⋊C4—22no—
538C11×C22⋊C4C2×D414yes—
539C11×C22⋊C4#4114yescomplemented
540C42×C11—41no—
541C42×C11—41no—
542C22⋊Dic11—22no—
543C22⋊Dic11—22no—
544C22⋊Dic11—22no—
545C22⋊Dic11—22no—
546C22⋊Dic11—22no—
547C22⋊Dic11—22no—
548C22⋊Dic11—22no—
549C22⋊Dic11—22no—
550C22⋊Dic11—22no—
551C22⋊Dic11—22no—
552C22⋊Dic11—22no—
553C22⋊Dic11—22no—
554C22⋊Dic11—22no—
555C22⋊Dic11—22no—
556C22⋊Dic11—22no—
557C22⋊Dic11—22no—
558C22⋊Dic11—22no—
559C22⋊Dic11—22no—
560C22⋊Dic11—41no—
561C22⋊Dic11—41no—
562C22⋊Dic11—41no—
563C22⋊Dic11—41no—
564C22⋊Dic11—41no—
565C22⋊Dic11—41no—
566C22⋊Dic11#4114yescomplemented
567(C2×D11)⋊C4—22no—
568(C2×D11)⋊C4—22no—
569(C2×D11)⋊C4—22no—
570(C2×D11)⋊C4—22no—
571(C2×D11)⋊C4—22no—
572(C2×D11)⋊C4—22no—
573(C2×D11)⋊C4C2×D414yes—
574C4⋊Dic11—22no—
575C4⋊Dic11—22no—
576C4⋊Dic11—22no—
577C4⋊Dic11—22no—
578C4⋊Dic11—22no—
579C4⋊Dic11—22no—
580C4⋊Dic11—41no—
581C4⋊Dic11—41no—
582C4⋊Dic11—41no—
583C4⋊Dic11—41no—
584Dic11⋊C4—22no—
585Dic11⋊C4—22no—
586Dic11⋊C4—22no—
587Dic11⋊C4—22no—
588Dic11⋊C4—22no—
589Dic11⋊C4—22no—
590Dic11⋊C4—22no—
591Dic11⋊C4—22no—
592Dic11⋊C4—22no—
593Dic11⋊C4—22no—
594Dic11⋊C4C2×D414yes—
595C4×Dic11—22no—
596C4×Dic11—22no—
597C4×Dic11—22no—
598C4×Dic11—22no—
599C4×Dic11—22no—
600C4×Dic11—22no—
601C4×Dic11—22no—
602C4×Dic11—22no—
603C4×Dic11—22no—
604C4×Dic11—22no—
605C4×Dic11—22no—
606C4×Dic11—22no—
607C4×Dic11—22no—
608C4×Dic11—41no—
609C4×Dic11—41no—
610C4×Dic11—41no—
611C4×Dic11C2×D414yes—
612C2×#529—111no—
613C2×#525—111no—
614#2560—111no—
615#2559—111no—
616#2558—111no—
617#2557—111no—
618#2556—111no—
619#2555—111no—
620#2554—111no—
621#2553—111no—
622#2549—111no—
623#2543—111no—
624#2539D1111yescharacteristic, complemented
625#2534—111no—
626#2488—111no—
627#2472—111no—
628#2425—111no—
629#2424—111no—
630#2396—111no—
631#2395—111no—
632#2392—111no—
633#2388—111no—
634C4×#124—111no—
635C4×#123—111no—
636C4×#121—111no—
637C4×#121—111no—
638C4×#120—111no—
639#2297—111no—
640#2293—111no—
641C42×D4—111no—
642C2×C4×C22⋊C4—111no—
643C23×C11—21no—
644C23×C11—21no—
645C23×C11—21no—
646C23×C11—21no—
647C23×C11—28no—
648C23×C11—21no—
649C23×C11—21no—
650C23×C11—21no—
651C23×C11—21no—
652C23×C11—21no—
653C23×C11—21no—
654C23×C11—21no—
655C23×C11—21no—
656C23×C11—21no—
657C23×C11—21no—
658C23×C11—21no—
659C23×C11—21no—
660C23×C11—21no—
661C23×C11—21no—
662C23×C11—21no—
663C23×C11—21no—
664C23×C11—21no—
665C23×C11—21no—
666C23×C11—21no—
667C23×C11—21no—
668C23×C11—21no—
669C23×C11—21no—
670C23×C11—21no—
671C23×C11—21no—
672C23×C11—21no—
673C23×C11—21no—
674C23×C11—44no—
675C23×C11—44no—
676C23×C11—44no—
677C23×C11—44no—
678C23×C11—44no—
679C23×C11—44no—
680C23×C11C22×D412yes—
681C23×C11C2×#4112yes—
682C23×C11C2×#4112yes—
683C23×C11C2×#4112yes—
684C23×C11C2×#4112yes—
685C23×C11C2511yescharacteristic
686C22×D11—21no—
687C22×D11—21no—
688C22×D11—21no—
689C22×D11—21no—
690C22×D11—21no—
691C22×D11—21no—
692C22×D11C22×D412yes—
693D4×C11—44no—
694D4×C11—44no—
695D4×C11—44no—
696D4×C11—44no—
697D4×C11—44no—
698D4×C11—44no—
699D4×C11—44no—
700C2×C4×C11—21no—
701C2×C4×C11—21no—
702C2×C4×C11—21no—
703C2×C4×C11—21no—
704C2×C4×C11—21no—
705C2×C4×C11—21no—
706C2×C4×C11—21no—
707C2×C4×C11—21no—
708C2×C4×C11—21no—
709C2×C4×C11—21no—
710C2×C4×C11—21no—
711C2×C4×C11—21no—
712C2×C4×C11—21no—
713C2×C4×C11—21no—
714C2×C4×C11—21no—
715C2×C4×C11—21no—
716C2×C4×C11—21no—
717C2×C4×C11—21no—
718C2×C4×C11—21no—
719C2×C4×C11—21no—
720C2×C4×C11—21no—
721C2×C4×C11—21no—
722C2×C4×C11—21no—
723C2×C4×C11—21no—
724C2×C4×C11—44no—
725C2×C4×C11—44no—
726C2×C4×C11C22×D412yes—
727C2×C4×C11C22×D412yes—
728C2×C4×C11C2×#4112yes—
729C2×C4×C11C2×#4112yes—
730C2×C4×C11C2×#4112yes—
731C2×C4×C11C2×#4112yes—
732C22⋊D11—28no—
733C22⋊D11—44no—
734C22⋊D11—44no—
735C22⋊D11—44no—
736C22⋊D11—44no—
737C2×Dic11—21no—
738C2×Dic11—21no—
739C2×Dic11—21no—
740C2×Dic11—21no—
741C2×Dic11—21no—
742C2×Dic11—21no—
743C2×Dic11—21no—
744C2×Dic11—21no—
745C2×Dic11—21no—
746C2×Dic11—21no—
747C2×Dic11—28no—
748C2×Dic11—28no—
749C2×Dic11—21no—
750C2×Dic11—21no—
751C2×Dic11—21no—
752C2×Dic11—21no—
753C2×Dic11—21no—
754C2×Dic11—21no—
755C2×Dic11—21no—
756C2×Dic11—21no—
757C2×Dic11—21no—
758C2×Dic11—21no—
759C2×Dic11—21no—
760C2×Dic11—21no—
761C2×Dic11—21no—
762C2×Dic11—21no—
763C2×Dic11—21no—
764C2×Dic11—21no—
765C2×Dic11—21no—
766C2×Dic11—21no—
767C2×Dic11—21no—
768C2×Dic11—21no—
769C2×Dic11—21no—
770C2×Dic11—21no—
771C2×Dic11—21no—
772C2×Dic11—21no—
773C2×Dic11—21no—
774C2×Dic11—21no—
775C2×Dic11—21no—
776C2×Dic11—44no—
777C2×Dic11—44no—
778C2×Dic11—44no—
779C2×Dic11—44no—
780C2×Dic11—44no—
781C2×Dic11—44no—
782C2×Dic11—44no—
783C2×Dic11—44no—
784C2×Dic11C22×D412yes—
785C2×Dic11C22×D412yes—
786C2×Dic11C22×D412yes—
787C2×Dic11C2×#4112yes—
788C2×Dic11C2×#4112yes—
789C2×Dic11C2×#4112yes—
790C2×Dic11C2×#4112yes—
791C2×Dic11H(5,𝔽2)12yes—
792C4×D11—28no—
793C4×D11—44no—
794C4×D11—44no—
795Dic22—44no—
796Dic22—44no—
797C22×#41—111no—
798C24×C4—111no—
799#529—228no—
800C2×#126—111no—
801C2×#126—111no—
802C2×#125—111no—
803C2×#124—111no—
804C2×#124—111no—
805#525—228no—
806C2×#123—111no—
807C2×#123—111no—
808C2×#123—111no—
809C2×#123C2×D1111yescharacteristic
810C2×#123C2×D1111yescharacteristic
811C2×C22⋊Q8—111no—
812C2×C22⋊Q8—111no—
813C2×C22⋊Q8—111no—
814C2×#121—111no—
815C2×#121—111no—
816C2×#121—111no—
817C2×#121—111no—
818C2×#121C2×D1111yescharacteristic
819C2×#120—111no—
820C2×#120C2×D1111yescharacteristic
821C2×#120C2×D1111yescharacteristic
822C2×C4×Q8—111no—
823C2×C4×D4—111no—
824C2×C4×D4—111no—
825C2×C4×D4—111no—
826C2×C4×D4—111no—
827C2×C4×D4—111no—
828C2×C4×D4—111no—
829C2×C4×D4—111no—
830C2×C4×D4—111no—
831C2×C4×D4—111no—
832C2×C4×D4—111no—
833C2×C4×D4—111no—
834C2×#117—111no—
835C2×#117—111no—
836C2×#117—111no—
837C22×C22⋊C4—111no—
838C22×C22⋊C4C2×D1111yescharacteristic
839C22×C42—111no—
840C22×C42—111no—
841C22×C42—111no—
842#400—111no—
843#400—111no—
844#399C2×D1111yescharacteristic
845#399C2×D1111yescharacteristic
846#398—111no—
847#398—111no—
848#398—111no—
849#398—111no—
850#397—111no—
851#397—111no—
852#397—111no—
853#397—111no—
854#396—111no—
855#396—111no—
856#396—111no—
857#396—111no—
858#395—111no—
859#395—111no—
860#394—111no—
861#394—111no—
862#394—111no—
863#394—111no—
864#394—111no—
865#394—111no—
866#394—111no—
867#394—111no—
868#393—111no—
869#393—111no—
870#392—111no—
871#392—111no—
872#392C2×D1111yescharacteristic
873#392C2×D1111yescharacteristic
874#391—111no—
875#391—111no—
876#391—111no—
877#390—111no—
878#390—111no—
879#390—111no—
880#390C2×D1111yescharacteristic
881#390C2×D1111yescharacteristic
882#390C2×D1111yescharacteristic
883#390C2×D1111yescharacteristic
884#389—111no—
885#389—111no—
886#389—111no—
887#389—111no—
888#388—111no—
889#388—111no—
890#388—111no—
891#388—111no—
892#388—111no—
893#388—111no—
894#388—111no—
895#388—111no—
896#388—111no—
897#388—111no—
898#388—111no—
899#388—111no—
900#388—111no—
901#388—111no—
902#387—111no—
903#387—111no—
904#386—111no—
905#386—111no—
906#386—111no—
907#386—111no—
908#386—111no—
909#386—111no—
910#386—111no—
911#386—111no—
912#386—111no—
913#386—111no—
914#386—111no—
915#386—111no—
916#385—111no—
917#385—111no—
918#385—111no—
919#385—111no—
920#382—111no—
921#381—111no—
922#380—111no—
923#380—111no—
924#379—111no—
925C4×C4⋊C4—111no—
926C4×C4⋊C4—111no—
927C4×C4⋊C4—111no—
928C4×C4⋊C4—111no—
929C4×C4⋊C4—111no—
930C4×C4⋊C4—111no—
931C4×C22⋊C4—111no—
932C4×C22⋊C4—111no—
933C4×C22⋊C4—111no—
934C4×C22⋊C4—111no—
935C4×C22⋊C4—111no—
936C4×C22⋊C4—111no—
937C4×C22⋊C4—111no—
938C4×C22⋊C4—111no—
939C4×C22⋊C4—111no—
940C4×C22⋊C4—111no—
941C4×C22⋊C4—111no—
942C4×C22⋊C4—111no—
943C4×C22⋊C4—111no—
944C4×C22⋊C4—111no—
945C4×C22⋊C4—111no—
946C4×C22⋊C4—111no—
947C4×C22⋊C4—111no—
948C4×C22⋊C4—111no—
949C4×C22⋊C4—111no—
950C4×C22⋊C4C2×D1111yescharacteristic
951C2×#95—111no—
952C2×#95—111no—
953C43—111no—
954C22×C11—22no—
955C22×C11—22no—
956C22×C11—22no—
957C22×C11—22no—
958C22×C11—22no—
959C22×C11—22no—
960C22×C11—22no—
961C22×C11—22no—
962C22×C11—22no—
963C22×C11—22no—
964C22×C11—22no—
965C22×C11—22no—
966C22×C11—416no—
967C22×C11—41no—
968C22×C11—41no—
969C22×C11—41no—
970C22×C11—41no—
971C22×C11—41no—
972C22×C11—41no—
973C22×C11—41no—
974C22×C11—41no—
975C22×C11—41no—
976C22×C11—41no—
977C22×C11—41no—
978C22×C11—41no—
979C22×C11—41no—
980C22×C11—41no—
981C22×C11—41no—
982C22×C11—41no—
983C22×C11—41no—
984C22×C11—41no—
985C22×C11—41no—
986C22×C11—41no—
987C22×C11—41no—
988C22×C11—41no—
989C22×C11#53214yes—
990C22×C11C23×D411yescharacteristic
991C22×C11C22×#4111yescharacteristic
992C22×C11C22×#4111yescharacteristic
993C22×C11C22×#4111yescharacteristic
994C22×C11C22×#4111yescharacteristic
995C22×C11C2×H(5,𝔽2)11yescharacteristic
996C22×C11#58511yescharacteristic
997C2×D11—22no—
998C2×D11—22no—
999C2×D11—22no—
1000C2×D11—41no—
1001C2×D11—41no—
1002C2×D11—41no—
1003C2×D11—41no—
1004C4×C11—22no—
1005C4×C11—22no—
1006C4×C11—22no—
1007C4×C11—22no—
1008C4×C11—22no—
1009C4×C11—22no—
1010C4×C11—41no—
1011C4×C11—41no—
1012C4×C11—41no—
1013C4×C11—41no—
1014Dic11—22no—
1015Dic11—22no—
1016Dic11—22no—
1017Dic11—22no—
1018Dic11—22no—
1019Dic11—41no—
1020Dic11—41no—
1021Dic11—41no—
1022Dic11—41no—
1023Dic11—41no—
1024Dic11—41no—
1025Dic11—41no—
1026Dic11—41no—
1027Dic11—41no—
1028Dic11#54614yes—
1029C25C22×D1111yescharacteristic
1030C2×#41—224no—
1031C2×#41—224no—
1032C2×#41—442no—
1033C22×Q8—111no—
1034C22×Q8—111no—
1035C22×D4—111no—
1036C22×D4—111no—
1037C22×D4—111no—
1038C22×D4—111no—
1039C22×D4—111no—
1040C22×D4C22×D1111yescharacteristic
1041C22×D4C22×D1111yescharacteristic
1042C22×D4C22×D1111yescharacteristic
1043C22×D4C22×D1111yescharacteristic
1044C22×D4C22×D1111yescharacteristic
1045C22×D4C22×D1111yescharacteristic
1046C22×D4C22×D1111yescharacteristic
1047C23×C4—111no—
1048C23×C4—111no—
1049C23×C4—111no—
1050C23×C4—111no—
1051C23×C4—111no—
1052C23×C4—111no—
1053C23×C4—111no—
1054C23×C4—111no—
1055C23×C4—111no—
1056C23×C4—111no—
1057C23×C4—111no—
1058C23×C4—111no—
1059C23×C4—111no—
1060C23×C4—224no—
1061C23×C4—224no—
1062C23×C4—442no—
1063C23×C4C22×D1111yescharacteristic
1064C23×C4C22×D1111yescharacteristic
1065#126—224no—
1066#126—224no—
1067#125—224no—
1068#124—224no—
1069#124—224no—
1070#123—24no—
1071#123—24no—
1072#123—224no—
1073#123—224no—
1074#123—224no—
1075C22⋊Q8—224no—
1076C22⋊Q8—224no—
1077C22⋊Q8—224no—
1078#121—24no—
1079#121—224no—
1080#121—224no—
1081#121—224no—
1082#121—224no—
1083#120—24no—
1084#120—24no—
1085#120—224no—
1086C4×Q8—224no—
1087C4×D4—118no—
1088C4×D4—224no—
1089C4×D4—224no—
1090C4×D4—224no—
1091C4×D4—224no—
1092C4×D4—224no—
1093C4×D4—224no—
1094C4×D4—224no—
1095C4×D4—224no—
1096C4×D4—442no—
1097C4×D4—442no—
1098#117—224no—
1099#117—224no—
1100#117—224no—
1101C2×C4⋊C4—111no—
1102C2×C4⋊C4—111no—
1103C2×C4⋊C4—111no—
1104C2×C4⋊C4—111no—
1105C2×C4⋊C4—111no—
1106C2×C4⋊C4—111no—
1107C2×C4⋊C4—111no—
1108C2×C4⋊C4—111no—
1109C2×C4⋊C4—111no—
1110C2×C4⋊C4—111no—
1111C2×C4⋊C4—111no—
1112C2×C4⋊C4—111no—
1113C2×C4⋊C4—111no—
1114C2×C4⋊C4—111no—
1115C2×C4⋊C4—111no—
1116C2×C4⋊C4—111no—
1117C2×C4⋊C4—111no—
1118C2×C4⋊C4—111no—
1119C2×C4⋊C4—111no—
1120C2×C4⋊C4—111no—
1121C2×C4⋊C4—111no—
1122C2×C4⋊C4C22×D1111yescharacteristic
1123C2×C4⋊C4C22×D1111yescharacteristic
1124C2×C4⋊C4C22×D1111yescharacteristic
1125C2×C4⋊C4C22×D1111yescharacteristic
1126C2×C4⋊C4C22×D1111yescharacteristic
1127C2×C22⋊C4—24no—
1128C2×C22⋊C4—111no—
1129C2×C22⋊C4—111no—
1130C2×C22⋊C4—111no—
1131C2×C22⋊C4—111no—
1132C2×C22⋊C4—111no—
1133C2×C22⋊C4—111no—
1134C2×C22⋊C4—111no—
1135C2×C22⋊C4—111no—
1136C2×C22⋊C4—111no—
1137C2×C22⋊C4—111no—
1138C2×C22⋊C4—111no—
1139C2×C22⋊C4—111no—
1140C2×C22⋊C4—111no—
1141C2×C22⋊C4—111no—
1142C2×C22⋊C4—111no—
1143C2×C22⋊C4—111no—
1144C2×C22⋊C4—111no—
1145C2×C22⋊C4—111no—
1146C2×C22⋊C4—111no—
1147C2×C22⋊C4—111no—
1148C2×C22⋊C4—111no—
1149C2×C22⋊C4—111no—
1150C2×C22⋊C4—111no—
1151C2×C22⋊C4—111no—
1152C2×C22⋊C4—111no—
1153C2×C22⋊C4—111no—
1154C2×C22⋊C4—111no—
1155C2×C22⋊C4—111no—
1156C2×C22⋊C4—111no—
1157C2×C22⋊C4—111no—
1158C2×C22⋊C4—111no—
1159C2×C22⋊C4—111no—
1160C2×C22⋊C4—224no—
1161C2×C22⋊C4C22×D1111yescharacteristic
1162C2×C22⋊C4C22×D1111yescharacteristic
1163C2×C22⋊C4C22×D1111yescharacteristic
1164C2×C22⋊C4C22×D1111yescharacteristic
1165C2×C22⋊C4C22×D1111yescharacteristic
1166C2×C22⋊C4C22×D1111yescharacteristic
1167C2×C22⋊C4C22×D1111yescharacteristic
1168C2×C22⋊C4C22×D1111yescharacteristic
1169C2×C22⋊C4C22×D1111yescharacteristic
1170C2×C22⋊C4C22×D1111yescharacteristic
1171C2×C22⋊C4C22×D1111yescharacteristic
1172C2×C22⋊C4C22×D1111yescharacteristic
1173C2×C22⋊C4C22×D1111yescharacteristic
1174C2×C22⋊C4C22×D1111yescharacteristic
1175C2×C22⋊C4C22×D1111yescharacteristic
1176C2×C22⋊C4C22×D1111yescharacteristic
1177C2×C42—111no—
1178C2×C42—111no—
1179C2×C42—111no—
1180C2×C42—111no—
1181C2×C42—111no—
1182C2×C42—111no—
1183C2×C42—111no—
1184C2×C42—111no—
1185C2×C42—111no—
1186C2×C42—111no—
1187C2×C42—111no—
1188C2×C42—111no—
1189C2×C42—111no—
1190C2×C42—111no—
1191C2×C42—111no—
1192C2×C42—111no—
1193C2×C42—111no—
1194C2×C42—224no—
1195C2×C42—442no—
1196C2×C42—442no—
1197C2×C42C22×D1111yescharacteristic
1198C2×C42C22×D1111yescharacteristic
1199#95—111no—
1200#95—111no—
1201#95—111no—
1202#95—111no—
1203#95—111no—
1204#95—111no—
1205#95—111no—
1206#95—111no—
1207#95—111no—
1208#95—111no—
1209#95—111no—
1210#95—111no—
1211#95—111no—
1212#95—111no—
1213#95—111no—
1214#95—111no—
1215#95—111no—
1216#95—111no—
1217#95—111no—
1218#95—111no—
1219#95—111no—
1220#95—111no—
1221#95—111no—
1222#95—111no—
1223#95—111no—
1224#95—111no—
1225#95—111no—
1226#95—111no—
1227#95—111no—
1228#95—111no—
1229#95C22×D1111yescharacteristic
1230#95C22×D1111yescharacteristic
1231C2×C11—24no—
1232C2×C11—42no—
1233C2×C11—42no—
1234C2×C11—81no—
1235C2×C11—81no—
1236C2×C11C2×#53211yescharacteristic
1237C2×C11#344411yescharacteristic
1238C2×C11#345911yescharacteristic
1239C2×C11C2×#54611yescharacteristic
1240C2×C11D4×#4111yescharacteristic
1241C2×C11#347511yescharacteristic
1242C2×C11#348111yescharacteristic
1243D11—42no—
1244C24—22no—
1245C24—22no—
1246C24—22no—
1247C24—22no—
1248C24—22no—
1249C24—41no—
1250C24—41no—
1251C24—111no—
1252C24C23×D1111yescharacteristic
1253C24C23×D1111yescharacteristic
1254C24C23×D1111yescharacteristic
1255C24C23×D1111yescharacteristic
1256C24C23×D1111yescharacteristic
1257#41—4416no—
1258C2×Q8—222no—
1259C2×Q8—222no—
1260C2×Q8—222no—
1261C2×Q8—222no—
1262C2×Q8—441no—
1263C2×Q8—441no—
1264C2×D4—22no—
1265C2×D4—22no—
1266C2×D4—22no—
1267C2×D4—22no—
1268C2×D4—22no—
1269C2×D4—22no—
1270C2×D4—22no—
1271C2×D4—22no—
1272C2×D4—22no—
1273C2×D4—22no—
1274C2×D4—22no—
1275C2×D4—22no—
1276C2×D4—22no—
1277C2×D4—22no—
1278C2×D4—22no—
1279C2×D4—41no—
1280C2×D4—41no—
1281C2×D4—41no—
1282C2×D4—41no—
1283C2×D4—41no—
1284C2×D4—41no—
1285C2×D4—114no—
1286C2×D4—222no—
1287C2×D4—222no—
1288C2×D4—222no—
1289C2×D4—222no—
1290C2×D4—222no—
1291C2×D4—222no—
1292C2×D4—222no—
1293C2×D4—222no—
1294C2×D4—222no—
1295C2×D4—222no—
1296C2×D4—441no—
1297C2×D4—441no—
1298C2×D4—441no—
1299C2×D4—441no—
1300C22×C4—22no—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—41no—
1304C22×C4—41no—
1305C22×C4—111no—
1306C22×C4—114no—
1307C22×C4—114no—
1308C22×C4—111no—
1309C22×C4—111no—
1310C22×C4—111no—
1311C22×C4—111no—
1312C22×C4—111no—
1313C22×C4—114no—
1314C22×C4—111no—
1315C22×C4—111no—
1316C22×C4—111no—
1317C22×C4—111no—
1318C22×C4—111no—
1319C22×C4—111no—
1320C22×C4—111no—
1321C22×C4—111no—
1322C22×C4—111no—
1323C22×C4—222no—
1324C22×C4—222no—
1325C22×C4—222no—
1326C22×C4—222no—
1327C22×C4—222no—
1328C22×C4—222no—
1329C22×C4—222no—
1330C22×C4—222no—
1331C22×C4—222no—
1332C22×C4—222no—
1333C22×C4—222no—
1334C22×C4—222no—
1335C22×C4—222no—
1336C22×C4—222no—
1337C22×C4—222no—
1338C22×C4—222no—
1339C22×C4—222no—
1340C22×C4—222no—
1341C22×C4—222no—
1342C22×C4—222no—
1343C22×C4—222no—
1344C22×C4—222no—
1345C22×C4—222no—
1346C22×C4—222no—
1347C22×C4—222no—
1348C22×C4—222no—
1349C22×C4—222no—
1350C22×C4—222no—
1351C22×C4—441no—
1352C22×C4—441no—
1353C22×C4—441no—
1354C22×C4—441no—
1355C22×C4—441no—
1356C22×C4—441no—
1357C22×C4—441no—
1358C22×C4—441no—
1359C22×C4—4416no—
1360C22×C4#434114yescomplemented
1361C22×C4C23×D1111yescharacteristic
1362C22×C4C23×D1111yescharacteristic
1363C22×C4C23×D1111yescharacteristic
1364C22×C4C23×D1111yescharacteristic
1365C22×C4C23×D1111yescharacteristic
1366C22×C4C23×D1111yescharacteristic
1367C22×C4C23×D1111yescharacteristic
1368C22×C4C23×D1111yescharacteristic
1369C22×C4C23×D1111yescharacteristic
1370C22×C4C23×D1111yescharacteristic
1371C4⋊C4—22no—
1372C4⋊C4—22no—
1373C4⋊C4—22no—
1374C4⋊C4—22no—
1375C4⋊C4—22no—
1376C4⋊C4—114no—
1377C4⋊C4—222no—
1378C4⋊C4—222no—
1379C4⋊C4—222no—
1380C4⋊C4—222no—
1381C4⋊C4—222no—
1382C4⋊C4—222no—
1383C4⋊C4—222no—
1384C4⋊C4—222no—
1385C4⋊C4—222no—
1386C4⋊C4—222no—
1387C4⋊C4—222no—
1388C4⋊C4—222no—
1389C4⋊C4—222no—
1390C4⋊C4—222no—
1391C4⋊C4—222no—
1392C4⋊C4—222no—
1393C4⋊C4—441no—
1394C4⋊C4—441no—
1395C4⋊C4—441no—
1396C4⋊C4—441no—
1397C22⋊C4—22no—
1398C22⋊C4—22no—
1399C22⋊C4—22no—
1400C22⋊C4—22no—
1401C22⋊C4—22no—
1402C22⋊C4—22no—
1403C22⋊C4—22no—
1404C22⋊C4—22no—
1405C22⋊C4—22no—
1406C22⋊C4—22no—
1407C22⋊C4—22no—
1408C22⋊C4—22no—
1409C22⋊C4—22no—
1410C22⋊C4—22no—
1411C22⋊C4—114no—
1412C22⋊C4—114no—
1413C22⋊C4—222no—
1414C22⋊C4—222no—
1415C22⋊C4—222no—
1416C22⋊C4—222no—
1417C22⋊C4—222no—
1418C22⋊C4—222no—
1419C22⋊C4—222no—
1420C22⋊C4—222no—
1421C22⋊C4—222no—
1422C22⋊C4—222no—
1423C22⋊C4—222no—
1424C22⋊C4—222no—
1425C22⋊C4—222no—
1426C22⋊C4—222no—
1427C22⋊C4—222no—
1428C22⋊C4—222no—
1429C22⋊C4—222no—
1430C22⋊C4—222no—
1431C22⋊C4—222no—
1432C22⋊C4—222no—
1433C22⋊C4—222no—
1434C22⋊C4—222no—
1435C22⋊C4—222no—
1436C22⋊C4—222no—
1437C22⋊C4—441no—
1438C22⋊C4—441no—
1439C22⋊C4—441no—
1440C22⋊C4—441no—
1441C22⋊C4—441no—
1442C22⋊C4—441no—
1443C22⋊C4D4×D1114yes—
1444C22⋊C4#434114yescomplemented
1445C42—41no—
1446C42—41no—
1447C42—114no—
1448C42—222no—
1449C42—222no—
1450C42—222no—
1451C42—222no—
1452C42—222no—
1453C42—222no—
1454C42—222no—
1455C42—222no—
1456C42—222no—
1457C42—222no—
1458C42—222no—
1459C42—222no—
1460C42—222no—
1461C42—441no—
1462C42—441no—
1463C42—441no—
1464C11#3482911yescharacteristic, complemented, Sylow
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—28no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—44no—
1497C23—44no—
1498C23—44no—
1499C23—44no—
1500C23—44no—
1501C23—44no—
1502C23—112no—
1503C23—221no—
1504C23—221no—
1505C23—221no—
1506C23—221no—
1507C23—221no—
1508C23—221no—
1509C23C2×D4×D1112yes—
1510C23C2×#434112yes—
1511C23C2×#434112yes—
1512C23#41×D1112yes—
1513C23#41×D1112yes—
1514C23C24×D1111yescharacteristic
1515Q8—444no—
1516Q8—444no—
1517D4—44no—
1518D4—44no—
1519D4—44no—
1520D4—44no—
1521D4—44no—
1522D4—44no—
1523D4—44no—
1524D4—228no—
1525D4—444no—
1526D4—444no—
1527D4—444no—
1528D4—444no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—44no—
1554C2×C4—44no—
1555C2×C4—112no—
1556C2×C4—112no—
1557C2×C4—112no—
1558C2×C4—112no—
1559C2×C4—112no—
1560C2×C4—112no—
1561C2×C4—112no—
1562C2×C4—112no—
1563C2×C4—228no—
1564C2×C4—228no—
1565C2×C4—228no—
1566C2×C4—221no—
1567C2×C4—221no—
1568C2×C4—221no—
1569C2×C4—221no—
1570C2×C4—221no—
1571C2×C4—221no—
1572C2×C4—221no—
1573C2×C4—221no—
1574C2×C4—221no—
1575C2×C4—221no—
1576C2×C4—221no—
1577C2×C4—221no—
1578C2×C4—221no—
1579C2×C4—221no—
1580C2×C4—221no—
1581C2×C4—221no—
1582C2×C4—221no—
1583C2×C4—221no—
1584C2×C4—221no—
1585C2×C4—221no—
1586C2×C4—221no—
1587C2×C4—221no—
1588C2×C4—221no—
1589C2×C4—221no—
1590C2×C4—221no—
1591C2×C4—221no—
1592C2×C4—221no—
1593C2×C4—221no—
1594C2×C4—221no—
1595C2×C4—221no—
1596C2×C4—221no—
1597C2×C4—221no—
1598C2×C4—221no—
1599C2×C4—221no—
1600C2×C4—221no—
1601C2×C4—221no—
1602C2×C4—221no—
1603C2×C4—444no—
1604C2×C4—444no—
1605C2×C4—444no—
1606C2×C4—444no—
1607C2×C4—444no—
1608C2×C4—444no—
1609C2×C4—444no—
1610C2×C4—444no—
1611C2×C4—444no—
1612C2×C4—444no—
1613C2×C4C2×D4×D1112yes—
1614C2×C4C2×D4×D1112yes—
1615C2×C4C2×#434112yes—
1616C2×C4C2×#434112yes—
1617C2×C4C2×#434112yes—
1618C2×C4C2×#434112yes—
1619C22—22no—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—22no—
1624C22—22no—
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—22no—
1629C22—22no—
1630C22—22no—
1631C22—416no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—222no—
1655C22—222no—
1656C22—222no—
1657C22—441no—
1658C22—441no—
1659C22—441no—
1660C22—441no—
1661C22#1062324714yes—
1662C22C22×D4×D1111yescharacteristic
1663C22C22×#434111yescharacteristic
1664C22C22×#434111yescharacteristic
1665C22C2×#41×D1111yescharacteristic
1666C22C2×#41×D1111yescharacteristic
1667C22D11×H(5,𝔽2)11yescharacteristic
1668C22#1062345511yescharacteristic
1669C4—22no—
1670C4—22no—
1671C4—22no—
1672C4—22no—
1673C4—22no—
1674C4—22no—
1675C4—41no—
1676C4—41no—
1677C4—41no—
1678C4—41no—
1679C4—114no—
1680C4—222no—
1681C4—222no—
1682C4—222no—
1683C4—222no—
1684C4—222no—
1685C4—441no—
1686C4—441no—
1687C4—441no—
1688C4—441no—
1689C4—441no—
1690C4—441no—
1691C4—441no—
1692C4—441no—
1693C4—441no—
1694C2—24no—
1695C2—42no—
1696C2—42no—
1697C2—81no—
1698C2—81no—
1699C2—442no—
1700C2C2×#1062324711yescharacteristic
1701C2#1308190811yescharacteristic
1702C2#1308202211yescharacteristic
1703C2D11×#54611yescharacteristic
1704C2#1308210011yescharacteristic
1705C2#1308216711yescharacteristic
1706C2#1308222111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2539C2
hypercenter#2539D11
hypocenterC11#34829
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2539

Complements

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

NH ≅ G/Ntype
1. C2×#10623180C2semidirect
2. C2×#10623117C2semidirect
3. #13073765C2semidirect
4. #13073750C2semidirect
5. #13073735C2semidirect
6. #13073720C2semidirect
7. #13073701C2semidirect
8. #13073686C2semidirect
9. #13073677C2semidirect
10. #13073662C2semidirect
11. #13073622C2semidirect
12. #13073578C2semidirect
13. #13073506C2semidirect
14. #13072946C2semidirect
15. #13072741C2semidirect
16. #13072163C2semidirect
17. #13072148C2semidirect
18. #13071885C2semidirect
19. #13071881C2semidirect
20. #13071851C2semidirect
21. #13071828C2semidirect
22. #13071163C2semidirect
23. #123×Dic11C2semidirect
24. #13071132C2semidirect
25. #121×Dic11C2semidirect
26. #120×Dic11C2semidirect
27. #13071103C2semidirect
28. #13071078C2semidirect
29. C4×(C22⋊D11)⋊C4C2semidirect
30. C2×C22⋊C4×Dic11C2semidirect
31. C11×#2539C2semidirect
53. C2×D4×Dic11C22semidirect
60. C2×#66951C22semidirect
61. C2×#66945C22semidirect
62. C2×#66942C22semidirect
63. C2×#66940C22semidirect
65. C2×#66938C22semidirect
69. C2×(C22⋊D11)⋊C4C22semidirect
70. C2×#66932C22semidirect
75. C2×#66930C22semidirect
76. C2×C42×D11C22semidirect
88. #10622836C22semidirect
92. #10622835C22semidirect
95. #10622834C22semidirect
106. #10622606C22semidirect
107. #10622606C22semidirect
108. #10622600C22semidirect
109. #10622598C22semidirect
110. #10622595C22semidirect
111. #10622595C22semidirect
112. #10622594C22semidirect
113. #10622594C22semidirect
114. #10622593C22semidirect
115. #10622593C22semidirect
116. #10622590C22semidirect
117. C4⋊C4×Dic11C22semidirect
118. C4⋊C4×Dic11C22semidirect
119. C4⋊C4×Dic11C22semidirect
120. #10622587C22semidirect
121. #10622586C22semidirect
125. #10622574C22semidirect
129. #10622569C22semidirect
130. #10622569C22semidirect
131. #10622569C22semidirect
133. #10622566C22semidirect
134. #10622564C22semidirect
135. #10622564C22semidirect
136. #10622564C22semidirect
137. #10622564C22semidirect
145. #10622561C22semidirect
147. #10622560C22semidirect
150. #10622558C22semidirect
151. #10622558C22semidirect
155. #10622557C22semidirect
156. #10622557C22semidirect
157. #10622557C22semidirect
170. C22⋊C4×Dic11C22semidirect
171. C22⋊C4×Dic11C22semidirect
172. C22⋊C4×Dic11C22semidirect
173. C22⋊C4×Dic11C22semidirect
174. C4×(C2×D11)⋊C4C22semidirect
175. C4×Dic11⋊C4C22semidirect
176. C42×Dic11C22semidirect
177. #10622542C22semidirect
178. #10622542C22semidirect
179. #10622541C22semidirect
180. #10622541C22semidirect
181. #10622279C22semidirect
182. #10622279C22semidirect
183. #10622274C22semidirect
184. #10622274C22semidirect
185. #10622269C22semidirect
186. #10622269C22semidirect
187. #10622262C22semidirect
188. #10622262C22semidirect
351. (C22⋊D11)⋊C4D4semidirect
431. C22×C4×C11#41semidirect
539. C11×C22⋊C4#41semidirect
566. C22⋊Dic11#41semidirect
624. #2539D11semidirect
1360. C22×C4#4341semidirect
1444. C22⋊C4#4341semidirect
1464. C11#34829semidirect

Maximal subgroups

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

subgroupindex
C2×#106231802
C2×#106231172
#130737652
#130737502
#130737352
#130737202
#130737012
#130736862
#130736772
#130736622
#130736222
#130735782
#130735062
#130729462
#130727412
#130721632
#130721482
#130718852
#130718812
#130718512
#130718282
#130711632
#123×Dic112
#130711322
#121×Dic112
#120×Dic112
#130711032
#130710782
C4×(C22⋊D11)⋊C42
C2×C22⋊C4×Dic112
C11×#25392
#3482911