Finite Group Databasebeta

← #14960599

Subgroups — #14960599

Order 2816.

2630 conjugacy classes of subgroups.

The subgroup lattice has 1770 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623188C211yesmaximal, characteristic, complemented
2C2×D11×#123C211yesmaximal, characteristic, complemented
3#13076904C211yesmaximal, characteristic, complemented
4#13076897C211yesmaximal, characteristic, complemented
5#13075158C211yesmaximal, characteristic, complemented
6#13075156C211yesmaximal, characteristic, complemented
7#13075146C211yesmaximal, characteristic, complemented
8#13075144C211yesmaximal, characteristic, complemented
9#13075126C211yesmaximal, characteristic, complemented
10#13075125C211yesmaximal, characteristic, complemented
11#13075121C211yesmaximal, characteristic, complemented
12#13074874C211yesmaximal, characteristic, complemented
13#13074871C211yesmaximal, characteristic, complemented
14#13074870C211yesmaximal, characteristic, complemented
15#13074867C211yesmaximal, characteristic, complemented
16#13074854C211yesmaximal, characteristic, complemented
17#13074853C211yesmaximal, characteristic, complemented
18#13074850C211yesmaximal, characteristic, complemented
19#13074849C211yesmaximal, characteristic, complemented
20#13074430C211yesmaximal, characteristic, complemented
21#13074363C211yesmaximal, characteristic, complemented
22#13073507C211yesmaximal, characteristic, complemented
23#13073504C211yesmaximal, characteristic, complemented
24#13072929C211yesmaximal, characteristic, complemented
25#13072928C211yesmaximal, characteristic, complemented
26#13072011C211yesmaximal, characteristic, complemented
27#13072005C211yesmaximal, characteristic, complemented
28#13071989C211yesmaximal, characteristic, complemented
29#13071983C211yesmaximal, characteristic, complemented
30#13071227C211yesmaximal, characteristic, complemented
31C11×#2693C211yesmaximal, characteristic, complemented
32C22×D4×D11C2211yescharacteristic
33C23×C4×D11C2211yescharacteristic
34C2×C11×#123C2211yescharacteristic
35C2×C11×#123C2211yescharacteristic, complemented
36C2×#66992C2211yescharacteristic
37C2×#66992C2211yescharacteristic, complemented
38C2×#66991C2211yescharacteristic
39C2×#66991C2211yescharacteristic, complemented
40C2×#66990C2211yescharacteristic
41C2×#66990C2211yescharacteristic
42C2×#66988C2211yescharacteristic
43C2×#66983C2211yescharacteristic
44C2×#66983C2211yescharacteristic, complemented
45C2×#66982C2211yescharacteristic
46C2×C4×C22⋊D11C2211yescharacteristic
47C22×(C2×D11)⋊C4C2211yescharacteristic
48C2×#66977C2211yescharacteristic, complemented
49#10623188—28no—
50D11×#123—28no—
51C2×#66951C2211yescharacteristic, complemented
52C2×#66950C2211yescharacteristic
53C2×#66950C2211yescharacteristic, complemented
54C2×#66947C2211yescharacteristic
55C2×#66947C2211yescharacteristic
56C2×#66947C2211yescharacteristic
57C2×#66947C2211yescharacteristic, complemented
58C2×#66946C2211yescharacteristic
59C2×C4⋊C4×D11C2211yescharacteristic
60C2×C4⋊C4×D11C2211yescharacteristic
61C2×#66939C2211yescharacteristic
62C2×#66938C2211yescharacteristic, complemented
63C2×#66938C2211yescharacteristic, complemented
64C2×#66937C2211yescharacteristic
65C2×#66937C2211yescharacteristic
66C2×#66937C2211yescharacteristic, complemented
67C2×#66936C2211yescharacteristic
68C2×#66936C2211yescharacteristic
69C2×#66936C2211yescharacteristic
70C2×#66935C2211yescharacteristic
71C2×#66935C2211yescharacteristic
72C2×C22⋊C4×D11C2211yescharacteristic
73C2×C22⋊C4×D11C2211yescharacteristic
74C2×C22⋊C4×D11C2211yescharacteristic
75C2×C22⋊C4×D11C2211yescharacteristic
76C2×#66932C2211yescharacteristic, complemented
77C11×#400C2211yescharacteristic, complemented
78C11×#400C2211yescharacteristic, complemented
79C11×#397C2211yescharacteristic, complemented
80C11×#396C2211yescharacteristic, complemented
81C11×#396C2211yescharacteristic, complemented
82C11×#392C2211yescharacteristic
83C11×#386C2211yescharacteristic
84C11×#386C2211yescharacteristic, complemented
85C11×#386C2211yescharacteristic, complemented
86C11×#386C2211yescharacteristic, complemented
87C11×#385C2211yescharacteristic, complemented
88C11×#380C2211yescharacteristic, complemented
89C11×#380C2211yescharacteristic, complemented
90#10622836C2211yescharacteristic
91#10622835C2211yescharacteristic
92#10622835C2211yescharacteristic, complemented
93#10622833C2211yescharacteristic, complemented
94#10622826C2211yescharacteristic, complemented
95#10622826C2211yescharacteristic, complemented
96#10622825C2211yescharacteristic, complemented
97#10622825C2211yescharacteristic, complemented
98#10622823C2211yescharacteristic, complemented
99#10622607C2211yescharacteristic, complemented
100#10622607C2211yescharacteristic, complemented
101#10622607C2211yescharacteristic, complemented
102#10622605C2211yescharacteristic, complemented
103#10622604C2211yescharacteristic, complemented
104#10622603C2211yescharacteristic, complemented
105#10622602C2211yescharacteristic, complemented
106#10622602C2211yescharacteristic, complemented
107#10622600C2211yescharacteristic
108#10622600C2211yescharacteristic
109#10622600C2211yescharacteristic, complemented
110#10622600C2211yescharacteristic, complemented
111#10622599C2211yescharacteristic, complemented
112#10622598C2211yescharacteristic, complemented
113#10622597C2211yescharacteristic, complemented
114#10622595C2211yescharacteristic, complemented
115#10622592C2211yescharacteristic, complemented
116#10622586C2211yescharacteristic, complemented
117#10622574C2211yescharacteristic
118#10622574C2211yescharacteristic
119#10622574C2211yescharacteristic, complemented
120#10622574C2211yescharacteristic, complemented
121#10622574C2211yescharacteristic, complemented
122#10622574C2211yescharacteristic, complemented
123#10622573C2211yescharacteristic
124#10622572C2211yescharacteristic, complemented
125#10622572C2211yescharacteristic, complemented
126#10622572C2211yescharacteristic, complemented
127#10622572C2211yescharacteristic, complemented
128#10622571C2211yescharacteristic
129#10622569C2211yescharacteristic
130#10622569C2211yescharacteristic
131#10622569C2211yescharacteristic
132#10622569C2211yescharacteristic, complemented
133#10622569C2211yescharacteristic, complemented
134#10622568C2211yescharacteristic
135#10622568C2211yescharacteristic
136#10622565C2211yescharacteristic, complemented
137#10622563C2211yescharacteristic, complemented
138#10622563C2211yescharacteristic, complemented
139#10622563C2211yescharacteristic, complemented
140#10622562C2211yescharacteristic, complemented
141#10622562C2211yescharacteristic, complemented
142#10622561C2211yescharacteristic, complemented
143#10622561C2211yescharacteristic, complemented
144#10622559C2211yescharacteristic, complemented
145#10622558C2211yescharacteristic, complemented
146#10622557C2211yescharacteristic, complemented
147#10622555C2211yescharacteristic, complemented
148#10622555C2211yescharacteristic, complemented
149#10622290C2211yescharacteristic, complemented
150#10622289C2211yescharacteristic, complemented
151#10622288C2211yescharacteristic, complemented
152#10622287C2211yescharacteristic, complemented
153#10622285C2211yescharacteristic
154#10622284C2211yescharacteristic
155#10622283C2211yescharacteristic, complemented
156#10622281C2211yescharacteristic
157#10622281C2211yescharacteristic
158#10622281C2211yescharacteristic
159#10622281C2211yescharacteristic
160#10622281C2211yescharacteristic, complemented
161#10622281C2211yescharacteristic, complemented
162#10622281C2211yescharacteristic, complemented
163#10622281C2211yescharacteristic, complemented
164#10622280C2211yescharacteristic
165#10622280C2211yescharacteristic
166#10622280C2211yescharacteristic, complemented
167#10622280C2211yescharacteristic, complemented
168#10622280C2211yescharacteristic, complemented
169#10622280C2211yescharacteristic, complemented
170#10622278C2211yescharacteristic
171#10622278C2211yescharacteristic
172#10622278C2211yescharacteristic
173#10622278C2211yescharacteristic, complemented
174#10622278C2211yescharacteristic, complemented
175#10622278C2211yescharacteristic, complemented
176#10622278C2211yescharacteristic, complemented
177#10622277C2211yescharacteristic
178#10622277C2211yescharacteristic
179#10622274C2211yescharacteristic, complemented
180#10622274C2211yescharacteristic, complemented
181#10622271C2211yescharacteristic, complemented
182#10622271C2211yescharacteristic, complemented
183#10622270C2211yescharacteristic, complemented
184#10622270C2211yescharacteristic, complemented
185#10622270C2211yescharacteristic, complemented
186#10622269C2211yescharacteristic, complemented
187#10622260C2211yescharacteristic, complemented
188#10622260C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C24×D11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C23×C4×C11C2311yescharacteristic
196C23×C4×C11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C22×C22⋊D11C2311yescharacteristic
202C22×C22⋊D11C2311yescharacteristic
203C22×C22⋊D11C2311yescharacteristic
204C22×C22⋊D11C2311yescharacteristic
205C23×Dic11C2311yescharacteristic
206C23×Dic11C2311yescharacteristic
207C2×D4×D11—24no—
208C2×D4×D11—42no—
209C2×D4×D11—42no—
210C22×D44C2311yescharacteristic
211C22×D44C2311yescharacteristic
212C22×D44C2311yescharacteristic
213C22×D44C2311yescharacteristic
214C22×C4×D11—24no—
215C22×C4×D11—42no—
216C22×C4×D11—42no—
217C22×C4×D11C2311yescharacteristic
218C22×C4×D11C2311yescharacteristic
219C22×C4×D11C2311yescharacteristic
220C22×C4×D11C2311yescharacteristic
221C22×C4×D11C2311yescharacteristic
222C22×C4×D11C2311yescharacteristic
223C22×C4×D11C2311yescharacteristic
224C22×C4×D11C2311yescharacteristic
225C22×C4×D11C2311yescharacteristic
226C22×C4×D11C2311yescharacteristic
227C22×Dic22C2311yescharacteristic
228C11×#123—24no—
229C11×#123—24no—
230C2×C11×C4⋊C4C2311yescharacteristic
231C2×C11×C4⋊C4C2311yescharacteristic
232C2×C11×C4⋊C4C2311yescharacteristic
233C2×C11×C4⋊C4C2311yescharacteristic
234C2×C11×C4⋊C4C2311yescharacteristic
235C2×C11×C4⋊C4C2311yescharacteristic
236C2×C11×C4⋊C4C2311yescharacteristic
237C2×C11×C22⋊C4C2311yescharacteristic
238C2×C11×C22⋊C4C2311yescharacteristic
239C2×C11×C22⋊C4C2311yescharacteristic
240C2×C11×C22⋊C4C2311yescharacteristic
241C2×C11×C22⋊C4C2311yescharacteristic
242C2×C11×C22⋊C4C2311yescharacteristic
243C2×C11×C22⋊C4C2311yescharacteristic
244C2×C11×C22⋊C4C2311yescharacteristic
245C2×C11×C22⋊C4C2311yescharacteristic
246C2×C11×C22⋊C4C2311yescharacteristic
247C2×C11×C22⋊C4C2311yescharacteristic
248C2×C11×C22⋊C4C2311yescharacteristic
249C2×C22⋊Dic11C2311yescharacteristic
250C2×C22⋊Dic11C2311yescharacteristic
251C2×C22⋊Dic11C2311yescharacteristic
252C2×C22⋊Dic11C2311yescharacteristic
253C2×C22⋊Dic11C2311yescharacteristic
254C2×C22⋊Dic11C2311yescharacteristic
255C2×C22⋊Dic11C2311yescharacteristic
256C2×C22⋊Dic11C2311yescharacteristic
257C2×C22⋊Dic11C2311yescharacteristic
258C2×C22⋊Dic11C2311yescharacteristic
259C2×C22⋊Dic11C2311yescharacteristic
260C2×C22⋊Dic11C2311yescharacteristic
261#66992—42no—
262#66992—42no—
263#66991—24no—
264#66991—42no—
265#66990—24no—
266#66990—42no—
267#66988—24no—
268#66983—24no—
269#66983—42no—
270#66982—24no—
271C4×C22⋊D11—24no—
272C2×(C2×D11)⋊C4—42no—
273C2×(C2×D11)⋊C4C2311yescharacteristic
274C2×(C2×D11)⋊C4C2311yescharacteristic
275C2×(C2×D11)⋊C4C2311yescharacteristic
276C2×(C2×D11)⋊C4C2311yescharacteristic
277C2×(C2×D11)⋊C4C2311yescharacteristic
278C2×(C2×D11)⋊C4C2311yescharacteristic
279C2×(C2×D11)⋊C4C2311yescharacteristic
280C2×(C2×D11)⋊C4C2311yescharacteristic
281C2×(C2×D11)⋊C4C2311yescharacteristic
282C2×(C2×D11)⋊C4C2311yescharacteristic
283C2×(C2×D11)⋊C4C2311yescharacteristic
284C2×(C2×D11)⋊C4C2311yescharacteristic
285C2×(C2×D11)⋊C4C2311yescharacteristic
286C2×(C2×D11)⋊C4C2311yescharacteristic
287C2×(C2×D11)⋊C4C2311yescharacteristic
288C2×(C2×D11)⋊C4C2311yescharacteristic
289C2×(C2×D11)⋊C4C2311yescharacteristic
290C2×(C2×D11)⋊C4C2311yescharacteristic
291C2×(C2×D11)⋊C4C2311yescharacteristic
292C2×(C2×D11)⋊C4C2311yescharacteristic
293C2×(C2×D11)⋊C4C2311yescharacteristic
294C2×(C2×D11)⋊C4C2311yescharacteristic
295C2×(C2×D11)⋊C4C2311yescharacteristic
296C2×(C2×D11)⋊C4C2311yescharacteristic
297C2×(C2×D11)⋊C4C2311yescharacteristic
298C2×(C2×D11)⋊C4C2311yescharacteristic
299C2×(C2×D11)⋊C4C2311yescharacteristic
300C2×(C2×D11)⋊C4C2311yescharacteristic
301C2×(C2×D11)⋊C4C2311yescharacteristic
302C2×(C2×D11)⋊C4C2311yescharacteristic
303C2×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×C4⋊Dic11C2311yescharacteristic
313C2×C4⋊Dic11C2311yescharacteristic
314#66977—42no—
315C2×Dic11⋊C4C2311yescharacteristic
316C2×Dic11⋊C4C2311yescharacteristic
317C2×Dic11⋊C4C2311yescharacteristic
318C2×Dic11⋊C4C2311yescharacteristic
319C2×Dic11⋊C4C2311yescharacteristic
320C2×Dic11⋊C4C2311yescharacteristic
321C2×Dic11⋊C4C2311yescharacteristic
322C2×Dic11⋊C4C2311yescharacteristic
323C2×Dic11⋊C4C2311yescharacteristic
324C2×Dic11⋊C4C2311yescharacteristic
325C2×Dic11⋊C4C2311yescharacteristic
326C2×Dic11⋊C4C2311yescharacteristic
327C2×Dic11⋊C4C2311yescharacteristic
328C2×Dic11⋊C4C2311yescharacteristic
329C2×Dic11⋊C4C2311yescharacteristic
330C2×Dic11⋊C4C2311yescharacteristic
331C2×C4×Dic11C2311yescharacteristic
332C2×C4×Dic11C2311yescharacteristic
333#66951—24no—
334#66950—24no—
335#66950—42no—
336#66947—24no—
337#66947—24no—
338#66947—24no—
339#66947—42no—
340#66946—24no—
341C4⋊C4×D11—24no—
342C4⋊C4×D11—24no—
343#66939—24no—
344#66938—24no—
345#66938—24no—
346#66937—24no—
347#66937—42no—
348#66937—42no—
349#66936—24no—
350#66936—24no—
351#66936—42no—
352#66935—24no—
353#66935—42no—
354C22⋊C4×D11—24no—
355C22⋊C4×D11—24no—
356C22⋊C4×D11—42no—
357C22⋊C4×D11D418yescomplemented
358#66932—24no—
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#36709—111nomaximal, Sylow
392C24×C11C2411yescharacteristic
393C24×C11C2411yescharacteristic
394C24×C11C2411yescharacteristic
395C23×D11—22no—
396C23×D11—22no—
397C23×D11—22no—
398C23×D11—22no—
399C23×D11—22no—
400C23×D11—22no—
401C23×D11—22no—
402C23×D11—41no—
403C23×D11—41no—
404C23×D11—41no—
405C23×D11—41no—
406C23×D11—41no—
407C23×D11—41no—
408C23×D11C2×D414yes—
409C23×D11C2411yescharacteristic
410C23×D11C2411yescharacteristic
411C23×D11C2411yescharacteristic
412C23×D11C2411yescharacteristic
413C2×D4×C11—22no—
414C2×D4×C11—22no—
415C2×D4×C11—22no—
416C2×D4×C11—22no—
417C2×D4×C11—41no—
418C2×D4×C11—41no—
419C2×D4×C11—41no—
420C2×D4×C11—41no—
421C2×D4×C11—41no—
422C22×C4×C11—22no—
423C22×C4×C11—22no—
424C22×C4×C11—22no—
425C22×C4×C11—41no—
426C22×C4×C11—41no—
427C22×C4×C11—41no—
428C22×C4×C11—41no—
429C22×C4×C11—41no—
430C22×C4×C11—41no—
431C22×C4×C11C2411yescharacteristic
432C22×C4×C11C2411yescharacteristic
433C22×C4×C11C2411yescharacteristic
434C22×C4×C11C2411yescharacteristic
435C22×C4×C11C2411yescharacteristic
436C22×C4×C11C2411yescharacteristic
437C22×C4×C11C2411yescharacteristic
438C22×C4×C11C2411yescharacteristic
439C22×C4×C11C2411yescharacteristic
440C22×C4×C11C2411yescharacteristic
441C22×C4×C11C2411yescharacteristic
442C22×C4×C11C2411yescharacteristic
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—22no—
453C2×C22⋊D11—22no—
454C2×C22⋊D11—22no—
455C2×C22⋊D11—41no—
456C2×C22⋊D11—41no—
457C2×C22⋊D11—41no—
458C2×C22⋊D11—41no—
459C2×C22⋊D11—41no—
460C2×C22⋊D11—41no—
461C2×C22⋊D11—41no—
462C2×C22⋊D11—41no—
463C2×C22⋊D11—41no—
464C2×C22⋊D11—41no—
465C2×C22⋊D11—41no—
466C2×C22⋊D11—41no—
467C22×Dic11—22no—
468C22×Dic11—22no—
469C22×Dic11—41no—
470C22×Dic11—41no—
471C22×Dic11—41no—
472C22×Dic11—41no—
473C22×Dic11C2411yescharacteristic
474C22×Dic11C2411yescharacteristic
475C22×Dic11C2411yescharacteristic
476C22×Dic11C2411yescharacteristic
477C22×Dic11C2411yescharacteristic
478C22×Dic11C2411yescharacteristic
479C22×Dic11C2411yescharacteristic
480C22×Dic11C2411yescharacteristic
481C22×Dic11C2411yescharacteristic
482C22×Dic11C2411yescharacteristic
483C22×Dic11C2411yescharacteristic
484C22×Dic11C2411yescharacteristic
485D4×D11—416no—
486C2×D44—22no—
487C2×D44—22no—
488C2×D44—22no—
489C2×D44—22no—
490C2×D44—22no—
491C2×D44—22no—
492C2×D44—22no—
493C2×D44—41no—
494C2×D44—41no—
495C2×D44—41no—
496C2×D44—41no—
497C2×D44—41no—
498C2×C4×D11—22no—
499C2×C4×D11—22no—
500C2×C4×D11—22no—
501C2×C4×D11—22no—
502C2×C4×D11—22no—
503C2×C4×D11—22no—
504C2×C4×D11—22no—
505C2×C4×D11—22no—
506C2×C4×D11—22no—
507C2×C4×D11—22no—
508C2×C4×D11—41no—
509C2×C4×D11—41no—
510C2×C4×D11—41no—
511C2×C4×D11—41no—
512C2×C4×D11—41no—
513C2×C4×D11—41no—
514C2×C4×D11—41no—
515C2×C4×D11—41no—
516C2×C4×D11—41no—
517C2×C4×D11—41no—
518C2×C4×D11—41no—
519C2×C4×D11—41no—
520C2×C4×D11—41no—
521C2×C4×D11—41no—
522C2×C4×D11—41no—
523C2×C4×D11—41no—
524C2×C4×D11—41no—
525C2×C4×D11—41no—
526C2×C4×D11—416no—
527C2×C4×D11C2×D414yes—
528C2×C4×D11C2×D414yes—
529C2×Dic22—22no—
530C2×Dic22—41no—
531C2×Dic22—41no—
532C11×C4⋊C4—22no—
533C11×C4⋊C4—22no—
534C11×C4⋊C4—22no—
535C11×C4⋊C4—22no—
536C11×C4⋊C4—41no—
537C11×C4⋊C4—41no—
538C11×C4⋊C4—41no—
539C11×C22⋊C4—22no—
540C11×C22⋊C4—22no—
541C11×C22⋊C4—22no—
542C11×C22⋊C4—22no—
543C11×C22⋊C4—41no—
544C11×C22⋊C4—41no—
545C11×C22⋊C4—41no—
546C11×C22⋊C4—41no—
547C11×C22⋊C4—41no—
548C11×C22⋊C4—41no—
549C11×C22⋊C4—41no—
550C11×C22⋊C4C2×D414yes—
551C22⋊Dic11—22no—
552C22⋊Dic11—22no—
553C22⋊Dic11—22no—
554C22⋊Dic11—22no—
555C22⋊Dic11—22no—
556C22⋊Dic11—22no—
557C22⋊Dic11—41no—
558C22⋊Dic11—41no—
559C22⋊Dic11—41no—
560C22⋊Dic11—41no—
561C22⋊Dic11—41no—
562C22⋊Dic11C2×D414yes—
563(C2×D11)⋊C4—22no—
564(C2×D11)⋊C4—22no—
565(C2×D11)⋊C4—22no—
566(C2×D11)⋊C4—22no—
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)⋊C4—22no—
574(C2×D11)⋊C4—22no—
575(C2×D11)⋊C4—22no—
576(C2×D11)⋊C4—22no—
577(C2×D11)⋊C4—22no—
578(C2×D11)⋊C4—22no—
579(C2×D11)⋊C4—41no—
580(C2×D11)⋊C4—41no—
581(C2×D11)⋊C4—41no—
582(C2×D11)⋊C4—41no—
583(C2×D11)⋊C4—41no—
584(C2×D11)⋊C4—41no—
585(C2×D11)⋊C4—41no—
586(C2×D11)⋊C4—41no—
587(C2×D11)⋊C4—41no—
588(C2×D11)⋊C4—41no—
589(C2×D11)⋊C4—41no—
590(C2×D11)⋊C4—41no—
591(C2×D11)⋊C4C2×D414yes—
592(C2×D11)⋊C4C2×D414yes—
593C4⋊Dic11—22no—
594C4⋊Dic11—22no—
595C4⋊Dic11—22no—
596C4⋊Dic11—22no—
597C4⋊Dic11—41no—
598C4⋊Dic11—41no—
599C4⋊Dic11—41no—
600C4⋊Dic11—41no—
601C4⋊Dic11—41no—
602C4⋊Dic11—41no—
603C4⋊Dic11—41no—
604Dic11⋊C4—22no—
605Dic11⋊C4—22no—
606Dic11⋊C4—22no—
607Dic11⋊C4—22no—
608Dic11⋊C4—22no—
609Dic11⋊C4—22no—
610Dic11⋊C4—41no—
611Dic11⋊C4—41no—
612Dic11⋊C4—41no—
613Dic11⋊C4—41no—
614Dic11⋊C4—41no—
615Dic11⋊C4—41no—
616Dic11⋊C4—41no—
617Dic11⋊C4—41no—
618Dic11⋊C4—41no—
619Dic11⋊C4—41no—
620C4×Dic11—22no—
621C4×Dic11—22no—
622C2×#538—111no—
623C22×#123—111no—
624#2848—111no—
625#2847—111no—
626#2695—111no—
627#2695—111no—
628#2695—111no—
629#2695—111no—
630#2693—111no—
631#2693—111no—
632#2693—111no—
633#2693D1111yescharacteristic, complemented
634#2672—111no—
635#2672—111no—
636#2672—111no—
637#2672—111no—
638#2671—111no—
639#2671—111no—
640#2671—111no—
641#2671—111no—
642#2627—111no—
643#2618—111no—
644#2534—111no—
645#2534—111no—
646#2487—111no—
647#2487—111no—
648#2412—111no—
649#2412—111no—
650#2410—111no—
651#2410—111no—
652#2315—111no—
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×C11C22×D412yes—
673C23×C11H(5,𝔽2)12yes—
674C23×C11C2511yescharacteristic
675C22×D11—21no—
676C22×D11—21no—
677C22×D11—21no—
678C22×D11—21no—
679C22×D11—28no—
680C22×D11—21no—
681C22×D11—21no—
682C22×D11—21no—
683C22×D11—21no—
684C22×D11—21no—
685C22×D11—21no—
686C22×D11—21no—
687C22×D11—21no—
688C22×D11—21no—
689C22×D11—21no—
690C22×D11—21no—
691C22×D11—21no—
692C22×D11—28no—
693C22×D11—21no—
694C22×D11—21no—
695C22×D11—21no—
696C22×D11—21no—
697C22×D11—21no—
698C22×D11—21no—
699C22×D11—21no—
700C22×D11—44no—
701C22×D11—44no—
702C22×D11—44no—
703C22×D11—44no—
704C22×D11—44no—
705C22×D11—44no—
706C22×D11—44no—
707C22×D11—44no—
708C22×D11—82no—
709C22×D11—82no—
710C22×D11—82no—
711C22×D11—82no—
712C22×D11C22×D412yes—
713C22×D11C22×D412yes—
714C22×D11H(5,𝔽2)12yes—
715C22×D11H(5,𝔽2)12yes—
716C22×D112−1+412yes—
717D4×C11—44no—
718D4×C11—82no—
719D4×C11—82no—
720C2×C4×C11—21no—
721C2×C4×C11—21no—
722C2×C4×C11—21no—
723C2×C4×C11—21no—
724C2×C4×C11—21no—
725C2×C4×C11—21no—
726C2×C4×C11—21no—
727C2×C4×C11—21no—
728C2×C4×C11—21no—
729C2×C4×C11—21no—
730C2×C4×C11—21no—
731C2×C4×C11—21no—
732C2×C4×C11—21no—
733C2×C4×C11—21no—
734C2×C4×C11—21no—
735C2×C4×C11—21no—
736C2×C4×C11—21no—
737C2×C4×C11—21no—
738C2×C4×C11—21no—
739C2×C4×C11—21no—
740C2×C4×C11—21no—
741C2×C4×C11—21no—
742C2×C4×C11—21no—
743C2×C4×C11—21no—
744C2×C4×C11—21no—
745C2×C4×C11—21no—
746C2×C4×C11—21no—
747C2×C4×C11—21no—
748C2×C4×C11—21no—
749C2×C4×C11—21no—
750C2×C4×C11—21no—
751C2×C4×C11—21no—
752C2×C4×C11—21no—
753C2×C4×C11—21no—
754C2×C4×C11—44no—
755C2×C4×C11—82no—
756C2×C4×C11—82no—
757C2×C4×C11C22×D412yes—
758C2×C4×C11C22×D412yes—
759C22⋊D11—44no—
760C22⋊D11—44no—
761C22⋊D11—44no—
762C22⋊D11—82no—
763C22⋊D11—82no—
764C22⋊D11—82no—
765C22⋊D11—82no—
766C22⋊D11—82no—
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—21no—
777C2×Dic11—21no—
778C2×Dic11—21no—
779C2×Dic11—21no—
780C2×Dic11—21no—
781C2×Dic11—21no—
782C2×Dic11—21no—
783C2×Dic11—21no—
784C2×Dic11—21no—
785C2×Dic11—21no—
786C2×Dic11—21no—
787C2×Dic11—21no—
788C2×Dic11—21no—
789C2×Dic11—21no—
790C2×Dic11—21no—
791C2×Dic11—21no—
792C2×Dic11—21no—
793C2×Dic11—21no—
794C2×Dic11—21no—
795C2×Dic11—21no—
796C2×Dic11—21no—
797C2×Dic11—21no—
798C2×Dic11—21no—
799C2×Dic11—21no—
800C2×Dic11—21no—
801C2×Dic11—44no—
802C2×Dic11—82no—
803C2×Dic11C22×D412yes—
804C2×Dic11C22×D412yes—
805D44—44no—
806D44—44no—
807D44—82no—
808D44—82no—
809C4×D11—44no—
810C4×D11—44no—
811C4×D11—44no—
812C4×D11—44no—
813C4×D11—44no—
814C4×D11—44no—
815C4×D11—44no—
816C4×D11—82no—
817C4×D11—82no—
818C4×D11—82no—
819Dic22—82no—
820C23×D4—111no—
821C24×C4—111no—
822#538—228no—
823C2×#126—111no—
824C2×#126—111no—
825C2×#124—111no—
826C2×#124—111no—
827C2×#123—111no—
828C2×#123—111no—
829C2×#123—111no—
830C2×#123—111no—
831C2×#123—111no—
832C2×#123—111no—
833C2×#123—111no—
834C2×#123—111no—
835C2×#123—111no—
836C2×#123—111no—
837C2×#123—228no—
838C2×#123C2×D1111yescharacteristic
839C2×#123C2×D1111yescharacteristic, complemented
840C2×C22⋊Q8—111no—
841C2×C22⋊Q8—111no—
842C2×C22⋊Q8—111no—
843C2×#121—111no—
844C2×#121—111no—
845C2×#121—111no—
846C2×#121—111no—
847C2×#121—111no—
848C2×#121—111no—
849C2×#121—111no—
850C2×#121—111no—
851C2×#121—111no—
852C2×#120—111no—
853C2×#120—111no—
854C2×#120—111no—
855C2×#120—111no—
856C2×C4×D4—111no—
857C2×C4×D4—111no—
858C22×C4⋊C4—111no—
859C22×C4⋊C4—111no—
860C22×C22⋊C4—111no—
861C22×C22⋊C4—111no—
862C22×C22⋊C4—111no—
863C22×C22⋊C4—111no—
864C22×C22⋊C4—111no—
865#400—111no—
866#400—111no—
867#400—111no—
868#400—111no—
869#400C2×D1111yescharacteristic, complemented
870#400C2×D1111yescharacteristic, complemented
871#399—111no—
872#399—111no—
873#399—111no—
874#399—111no—
875#398—111no—
876#398—111no—
877#398—111no—
878#398—111no—
879#398—111no—
880#398—111no—
881#397—111no—
882#397—111no—
883#397—111no—
884#397C2×D1111yescharacteristic, complemented
885#396—111no—
886#396—111no—
887#396—111no—
888#396—111no—
889#396—111no—
890#396—111no—
891#396C2×D1111yescharacteristic, complemented
892#396C2×D1111yescharacteristic, complemented
893#395—111no—
894#395—111no—
895#394—111no—
896#394—111no—
897#394—111no—
898#394—111no—
899#394—111no—
900#394—111no—
901#394—111no—
902#394—111no—
903#394—111no—
904#394—111no—
905#394—111no—
906#394—111no—
907#394—111no—
908#394—111no—
909#392—111no—
910#392—111no—
911#392—111no—
912#392C2×D1111yescharacteristic
913#389—111no—
914#389—111no—
915#389—111no—
916#389—111no—
917#388—111no—
918#388—111no—
919#388—111no—
920#388—111no—
921#386—111no—
922#386—111no—
923#386—111no—
924#386—111no—
925#386—111no—
926#386—111no—
927#386—111no—
928#386—111no—
929#386—111no—
930#386—111no—
931#386—111no—
932#386—111no—
933#386—111no—
934#386—111no—
935#386—111no—
936#386—111no—
937#386C2×D1111yescharacteristic
938#386C2×D1111yescharacteristic, complemented
939#386C2×D1111yescharacteristic, complemented
940#386C2×D1111yescharacteristic, complemented
941#385—111no—
942#385—111no—
943#385—111no—
944#385—111no—
945#385—111no—
946#385—111no—
947#385—111no—
948#385—111no—
949#385—111no—
950#385—111no—
951#385—111no—
952#385—111no—
953#385—111no—
954#385—111no—
955#385—111no—
956#385C2×D1111yescharacteristic, complemented
957#381—111no—
958#381—111no—
959#380—111no—
960#380—111no—
961#380—111no—
962#380—111no—
963#380—111no—
964#380—111no—
965#380—111no—
966#380—111no—
967#380—111no—
968#380—111no—
969#380—111no—
970#380—111no—
971#380—111no—
972#380—111no—
973#380C2×D1111yescharacteristic, complemented
974#380C2×D1111yescharacteristic, complemented
975#379—111no—
976#379—111no—
977C22×C11—22no—
978C22×C11—22no—
979C22×C11—22no—
980C22×C11—22no—
981C22×C11—22no—
982C22×C11—22no—
983C22×C11—41no—
984C22×C11—41no—
985C22×C11—41no—
986C22×C11—41no—
987C22×C11—41no—
988C22×C11—41no—
989C22×C11—41no—
990C22×C11—41no—
991C22×C11—41no—
992C22×C11—41no—
993C22×C11—41no—
994C22×C11—41no—
995C22×C11—41no—
996C22×C11—41no—
997C22×C11—41no—
998C22×C11C23×D411yescharacteristic
999C22×C11C2×H(5,𝔽2)11yescharacteristic
1000C22×C11C2×H(5,𝔽2)11yescharacteristic
1001C22×C11C2×H(5,𝔽2)11yescharacteristic
1002C22×C11C2×2−1+411yescharacteristic
1003C22×C11#58511yescharacteristic
1004C22×C11#58511yescharacteristic
1005C2×D11—22no—
1006C2×D11—22no—
1007C2×D11—22no—
1008C2×D11—22no—
1009C2×D11—22no—
1010C2×D11—22no—
1011C2×D11—22no—
1012C2×D11—22no—
1013C2×D11—22no—
1014C2×D11—22no—
1015C2×D11—22no—
1016C2×D11—22no—
1017C2×D11—416no—
1018C2×D11—41no—
1019C2×D11—41no—
1020C2×D11—41no—
1021C2×D11—41no—
1022C2×D11—41no—
1023C2×D11—41no—
1024C2×D11—41no—
1025C2×D11—41no—
1026C2×D11—41no—
1027C2×D11—41no—
1028C2×D11—41no—
1029C2×D11—41no—
1030C2×D11—41no—
1031C2×D11—41no—
1032C2×D11—41no—
1033C2×D11—88no—
1034C2×D11#53714yes—
1035C4×C11—22no—
1036C4×C11—22no—
1037C4×C11—41no—
1038C4×C11—41no—
1039C4×C11—41no—
1040C4×C11—41no—
1041C4×C11—41no—
1042C4×C11—41no—
1043C4×C11—41no—
1044C4×C11—41no—
1045C4×C11—41no—
1046C4×C11—41no—
1047Dic11—22no—
1048Dic11—22no—
1049Dic11—41no—
1050Dic11—41no—
1051Dic11—41no—
1052Dic11—41no—
1053Dic11—41no—
1054Dic11—41no—
1055Dic11—41no—
1056Dic11—41no—
1057Dic11—41no—
1058Dic11—41no—
1059C25—111no—
1060C25—111no—
1061C22×Q8—111no—
1062C22×D4—111no—
1063C22×D4—111no—
1064C22×D4—111no—
1065C22×D4—111no—
1066C22×D4—111no—
1067C22×D4—111no—
1068C22×D4—111no—
1069C22×D4—111no—
1070C22×D4—111no—
1071C22×D4—111no—
1072C22×D4—111no—
1073C22×D4—111no—
1074C22×D4—224no—
1075C22×D4—442no—
1076C22×D4—442no—
1077C22×D4C22×D1111yescharacteristic
1078C22×D4C22×D1111yescharacteristic
1079C22×D4C22×D1111yescharacteristic
1080C23×C4—111no—
1081C23×C4—111no—
1082C23×C4—111no—
1083C23×C4—111no—
1084C23×C4—111no—
1085C23×C4—111no—
1086C23×C4—111no—
1087C23×C4—111no—
1088C23×C4—111no—
1089C23×C4—111no—
1090C23×C4—111no—
1091C23×C4—111no—
1092C23×C4—224no—
1093C23×C4—442no—
1094C23×C4—442no—
1095C23×C4C22×D1111yescharacteristic
1096C23×C4C22×D1111yescharacteristic
1097C23×C4C22×D1111yescharacteristic
1098#126—224no—
1099#126—224no—
1100#124—224no—
1101#124—224no—
1102#123—24no—
1103#123—24no—
1104#123—224no—
1105#123—224no—
1106#123—224no—
1107#123—224no—
1108#123—224no—
1109#123—224no—
1110#123—224no—
1111#123—224no—
1112#123—442no—
1113#123—442no—
1114C22⋊Q8—224no—
1115C22⋊Q8—442no—
1116C22⋊Q8—442no—
1117#121—224no—
1118#121—224no—
1119#121—224no—
1120#121—442no—
1121#121—442no—
1122#121—442no—
1123#121—442no—
1124#121—442no—
1125#121—442no—
1126#120—224no—
1127#120—224no—
1128#120—442no—
1129#120—442no—
1130C4×D4—224no—
1131C4×D4—224no—
1132C2×C4⋊C4—111no—
1133C2×C4⋊C4—111no—
1134C2×C4⋊C4—111no—
1135C2×C4⋊C4—111no—
1136C2×C4⋊C4—111no—
1137C2×C4⋊C4—111no—
1138C2×C4⋊C4—111no—
1139C2×C4⋊C4—111no—
1140C2×C4⋊C4—111no—
1141C2×C4⋊C4—111no—
1142C2×C4⋊C4—111no—
1143C2×C4⋊C4—111no—
1144C2×C4⋊C4—111no—
1145C2×C4⋊C4—111no—
1146C2×C4⋊C4—111no—
1147C2×C4⋊C4—111no—
1148C2×C4⋊C4—111no—
1149C2×C4⋊C4—111no—
1150C2×C4⋊C4—111no—
1151C2×C4⋊C4—111no—
1152C2×C4⋊C4—111no—
1153C2×C4⋊C4—111no—
1154C2×C4⋊C4—111no—
1155C2×C4⋊C4—111no—
1156C2×C4⋊C4—111no—
1157C2×C4⋊C4—111no—
1158C2×C4⋊C4—111no—
1159C2×C4⋊C4—224no—
1160C2×C4⋊C4—224no—
1161C2×C4⋊C4C22×D1111yescharacteristic
1162C2×C4⋊C4C22×D1111yescharacteristic
1163C2×C4⋊C4C22×D1111yescharacteristic
1164C2×C4⋊C4C22×D1111yescharacteristic
1165C2×C4⋊C4C22×D1111yescharacteristic
1166C2×C4⋊C4C22×D1111yescharacteristic
1167C2×C4⋊C4C22×D1111yescharacteristic
1168C2×C22⋊C4—111no—
1169C2×C22⋊C4—111no—
1170C2×C22⋊C4—111no—
1171C2×C22⋊C4—118no—
1172C2×C22⋊C4—111no—
1173C2×C22⋊C4—111no—
1174C2×C22⋊C4—111no—
1175C2×C22⋊C4—111no—
1176C2×C22⋊C4—111no—
1177C2×C22⋊C4—111no—
1178C2×C22⋊C4—111no—
1179C2×C22⋊C4—111no—
1180C2×C22⋊C4—111no—
1181C2×C22⋊C4—111no—
1182C2×C22⋊C4—111no—
1183C2×C22⋊C4—111no—
1184C2×C22⋊C4—111no—
1185C2×C22⋊C4—111no—
1186C2×C22⋊C4—111no—
1187C2×C22⋊C4—111no—
1188C2×C22⋊C4—111no—
1189C2×C22⋊C4—111no—
1190C2×C22⋊C4—111no—
1191C2×C22⋊C4—111no—
1192C2×C22⋊C4—111no—
1193C2×C22⋊C4—111no—
1194C2×C22⋊C4—111no—
1195C2×C22⋊C4—111no—
1196C2×C22⋊C4—111no—
1197C2×C22⋊C4—111no—
1198C2×C22⋊C4—111no—
1199C2×C22⋊C4—111no—
1200C2×C22⋊C4—111no—
1201C2×C22⋊C4—111no—
1202C2×C22⋊C4—111no—
1203C2×C22⋊C4—111no—
1204C2×C22⋊C4—111no—
1205C2×C22⋊C4—111no—
1206C2×C22⋊C4—111no—
1207C2×C22⋊C4—111no—
1208C2×C22⋊C4—111no—
1209C2×C22⋊C4—111no—
1210C2×C22⋊C4—111no—
1211C2×C22⋊C4—224no—
1212C2×C22⋊C4—224no—
1213C2×C22⋊C4—442no—
1214C2×C22⋊C4—442no—
1215C2×C22⋊C4C22×D1111yescharacteristic
1216C2×C22⋊C4C22×D1111yescharacteristic
1217C2×C22⋊C4C22×D1111yescharacteristic
1218C2×C22⋊C4C22×D1111yescharacteristic
1219C2×C22⋊C4C22×D1111yescharacteristic
1220C2×C22⋊C4C22×D1111yescharacteristic
1221C2×C22⋊C4C22×D1111yescharacteristic
1222C2×C22⋊C4C22×D1111yescharacteristic
1223C2×C22⋊C4C22×D1111yescharacteristic
1224C2×C22⋊C4C22×D1111yescharacteristic
1225C2×C22⋊C4C22×D1111yescharacteristic
1226C2×C22⋊C4C22×D1111yescharacteristic
1227C2×C42—111no—
1228C2×C42—111no—
1229#95—111no—
1230#95—111no—
1231#95—111no—
1232#95—111no—
1233#95—111no—
1234#95—111no—
1235#95—111no—
1236#95—111no—
1237#95—111no—
1238#95—111no—
1239#95—111no—
1240#95—111no—
1241#95—111no—
1242#95—111no—
1243#95—111no—
1244#95—111no—
1245#95—111no—
1246#95—111no—
1247#95—111no—
1248#95—111no—
1249#95—111no—
1250#95—111no—
1251#95C22×D1111yescharacteristic
1252#95C22×D1111yescharacteristic
1253#95C22×D1111yescharacteristic
1254#95C22×D1111yescharacteristic
1255#95C22×D1111yescharacteristic
1256#95C22×D1111yescharacteristic
1257#95C22×D1111yescharacteristic
1258#95C22×D1111yescharacteristic
1259#95C22×D1111yescharacteristic
1260#95C22×D1111yescharacteristic
1261C2×C11—42no—
1262C2×C11—42no—
1263C2×C11—81no—
1264C2×C11C2×#53711yescharacteristic
1265C2×C11#348411yescharacteristic
1266C2×C11#348511yescharacteristic
1267C2×C11#353411yescharacteristic
1268C2×C11#353411yescharacteristic
1269C2×C11#353511yescharacteristic
1270C2×C11#353511yescharacteristic
1271D11—24no—
1272D11—42no—
1273D11—42no—
1274D11—81no—
1275C24—111no—
1276C24—111no—
1277C24—111no—
1278C24—114no—
1279C24—111no—
1280C24—222no—
1281C24—222no—
1282C24—222no—
1283C24—222no—
1284C24—222no—
1285C24—222no—
1286C24—222no—
1287C24—441no—
1288C24—441no—
1289C24—441no—
1290C24—441no—
1291C24—441no—
1292C24—441no—
1293C24C23×D1111yescharacteristic
1294C24C23×D1111yescharacteristic
1295C24C23×D1111yescharacteristic
1296C2×Q8—222no—
1297C2×Q8—441no—
1298C2×Q8—441no—
1299C2×D4—22no—
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—22no—
1303C2×D4—41no—
1304C2×D4—41no—
1305C2×D4—41no—
1306C2×D4—41no—
1307C2×D4—41no—
1308C2×D4—222no—
1309C2×D4—222no—
1310C2×D4—222no—
1311C2×D4—222no—
1312C2×D4—222no—
1313C2×D4—222no—
1314C2×D4—222no—
1315C2×D4—222no—
1316C2×D4—222no—
1317C2×D4—222no—
1318C2×D4—222no—
1319C2×D4—222no—
1320C2×D4—222no—
1321C2×D4—222no—
1322C2×D4—222no—
1323C2×D4—222no—
1324C2×D4—222no—
1325C2×D4—222no—
1326C2×D4—222no—
1327C2×D4—441no—
1328C2×D4—441no—
1329C2×D4—441no—
1330C2×D4—441no—
1331C2×D4—441no—
1332C2×D4—441no—
1333C2×D4—441no—
1334C2×D4—441no—
1335C2×D4—441no—
1336C2×D4—441no—
1337C2×D4—441no—
1338C2×D4—441no—
1339C2×D4—441no—
1340C2×D4—441no—
1341C2×D4—441no—
1342C2×D4—441no—
1343C2×D4—441no—
1344C2×D4—4416no—
1345C22×C4—22no—
1346C22×C4—22no—
1347C22×C4—22no—
1348C22×C4—41no—
1349C22×C4—41no—
1350C22×C4—41no—
1351C22×C4—41no—
1352C22×C4—41no—
1353C22×C4—41no—
1354C22×C4—111no—
1355C22×C4—111no—
1356C22×C4—114no—
1357C22×C4—114no—
1358C22×C4—111no—
1359C22×C4—111no—
1360C22×C4—111no—
1361C22×C4—111no—
1362C22×C4—111no—
1363C22×C4—111no—
1364C22×C4—111no—
1365C22×C4—111no—
1366C22×C4—111no—
1367C22×C4—111no—
1368C22×C4—222no—
1369C22×C4—222no—
1370C22×C4—222no—
1371C22×C4—222no—
1372C22×C4—222no—
1373C22×C4—222no—
1374C22×C4—222no—
1375C22×C4—222no—
1376C22×C4—222no—
1377C22×C4—222no—
1378C22×C4—222no—
1379C22×C4—222no—
1380C22×C4—441no—
1381C22×C4—441no—
1382C22×C4—441no—
1383C22×C4—441no—
1384C22×C4—441no—
1385C22×C4—441no—
1386C22×C4—441no—
1387C22×C4—441no—
1388C22×C4—441no—
1389C22×C4—441no—
1390C22×C4—441no—
1391C22×C4—441no—
1392C22×C4—441no—
1393C22×C4—441no—
1394C22×C4—441no—
1395C22×C4—441no—
1396C22×C4—441no—
1397C22×C4—441no—
1398C22×C4—4416no—
1399C22×C4—441no—
1400C22×C4—441no—
1401C22×C4—441no—
1402C22×C4—441no—
1403C22×C4C23×D1111yescharacteristic
1404C22×C4C23×D1111yescharacteristic
1405C22×C4C23×D1111yescharacteristic
1406C22×C4C23×D1111yescharacteristic
1407C22×C4C23×D1111yescharacteristic
1408C22×C4C23×D1111yescharacteristic
1409C22×C4C23×D1111yescharacteristic
1410C22×C4C23×D1111yescharacteristic
1411C22×C4C23×D1111yescharacteristic
1412C22×C4C23×D1111yescharacteristic
1413C22×C4C23×D1111yescharacteristic
1414C22×C4C23×D1111yescharacteristic
1415C4⋊C4—22no—
1416C4⋊C4—22no—
1417C4⋊C4—22no—
1418C4⋊C4—22no—
1419C4⋊C4—41no—
1420C4⋊C4—41no—
1421C4⋊C4—41no—
1422C4⋊C4—222no—
1423C4⋊C4—222no—
1424C4⋊C4—222no—
1425C4⋊C4—222no—
1426C4⋊C4—222no—
1427C4⋊C4—222no—
1428C4⋊C4—222no—
1429C4⋊C4—222no—
1430C4⋊C4—222no—
1431C4⋊C4—222no—
1432C4⋊C4—441no—
1433C4⋊C4—441no—
1434C4⋊C4—441no—
1435C4⋊C4—441no—
1436C4⋊C4—441no—
1437C4⋊C4—441no—
1438C4⋊C4—441no—
1439C4⋊C4—441no—
1440C4⋊C4—441no—
1441C4⋊C4—441no—
1442C4⋊C4—441no—
1443C4⋊C4—441no—
1444C4⋊C4—441no—
1445C4⋊C4—441no—
1446C4⋊C4—441no—
1447C4⋊C4—441no—
1448C4⋊C4—441no—
1449C22⋊C4—22no—
1450C22⋊C4—22no—
1451C22⋊C4—22no—
1452C22⋊C4—22no—
1453C22⋊C4—41no—
1454C22⋊C4—41no—
1455C22⋊C4—41no—
1456C22⋊C4—41no—
1457C22⋊C4—41no—
1458C22⋊C4—41no—
1459C22⋊C4—41no—
1460C22⋊C4—114no—
1461C22⋊C4—114no—
1462C22⋊C4—114no—
1463C22⋊C4—222no—
1464C22⋊C4—222no—
1465C22⋊C4—222no—
1466C22⋊C4—222no—
1467C22⋊C4—222no—
1468C22⋊C4—222no—
1469C22⋊C4—222no—
1470C22⋊C4—222no—
1471C22⋊C4—222no—
1472C22⋊C4—222no—
1473C22⋊C4—222no—
1474C22⋊C4—222no—
1475C22⋊C4—222no—
1476C22⋊C4—222no—
1477C22⋊C4—222no—
1478C22⋊C4—222no—
1479C22⋊C4—222no—
1480C22⋊C4—222no—
1481C22⋊C4—222no—
1482C22⋊C4—222no—
1483C22⋊C4—222no—
1484C22⋊C4—222no—
1485C22⋊C4—441no—
1486C22⋊C4—441no—
1487C22⋊C4—441no—
1488C22⋊C4—441no—
1489C22⋊C4—441no—
1490C22⋊C4—441no—
1491C22⋊C4—441no—
1492C22⋊C4—441no—
1493C22⋊C4—441no—
1494C22⋊C4—441no—
1495C22⋊C4—441no—
1496C22⋊C4—441no—
1497C22⋊C4—441no—
1498C22⋊C4—441no—
1499C22⋊C4—441no—
1500C22⋊C4—441no—
1501C22⋊C4—441no—
1502C22⋊C4D4×D1114yes—
1503C42—222no—
1504C42—222no—
1505C11#3670911yescharacteristic, complemented, Sylow
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—112no—
1526C23—112no—
1527C23—112no—
1528C23—112no—
1529C23—112no—
1530C23—228no—
1531C23—228no—
1532C23—221no—
1533C23—221no—
1534C23—221no—
1535C23—221no—
1536C23—221no—
1537C23—221no—
1538C23—221no—
1539C23—221no—
1540C23—221no—
1541C23—221no—
1542C23—221no—
1543C23—221no—
1544C23—221no—
1545C23—221no—
1546C23—221no—
1547C23—221no—
1548C23—221no—
1549C23—221no—
1550C23—221no—
1551C23—221no—
1552C23—221no—
1553C23—221no—
1554C23—221no—
1555C23—444no—
1556C23—444no—
1557C23—444no—
1558C23—444no—
1559C23—444no—
1560C23—444no—
1561C23—444no—
1562C23—444no—
1563C23—882no—
1564C23—882no—
1565C23—882no—
1566C23—882no—
1567C23C2×D4×D1112yes—
1568C23#6704212yes—
1569C23C24×D1111yescharacteristic
1570Q8—882no—
1571D4—44no—
1572D4—82no—
1573D4—82no—
1574D4—444no—
1575D4—444no—
1576D4—444no—
1577D4—444no—
1578D4—444no—
1579D4—882no—
1580D4—882no—
1581D4—882no—
1582D4—882no—
1583D4—882no—
1584D4—882no—
1585D4—882no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—44no—
1621C2×C4—82no—
1622C2×C4—82no—
1623C2×C4—112no—
1624C2×C4—112no—
1625C2×C4—221no—
1626C2×C4—221no—
1627C2×C4—221no—
1628C2×C4—221no—
1629C2×C4—221no—
1630C2×C4—221no—
1631C2×C4—221no—
1632C2×C4—221no—
1633C2×C4—221no—
1634C2×C4—221no—
1635C2×C4—221no—
1636C2×C4—221no—
1637C2×C4—221no—
1638C2×C4—221no—
1639C2×C4—221no—
1640C2×C4—221no—
1641C2×C4—221no—
1642C2×C4—221no—
1643C2×C4—221no—
1644C2×C4—221no—
1645C2×C4—221no—
1646C2×C4—221no—
1647C2×C4—221no—
1648C2×C4—221no—
1649C2×C4—221no—
1650C2×C4—221no—
1651C2×C4—221no—
1652C2×C4—221no—
1653C2×C4—221no—
1654C2×C4—221no—
1655C2×C4—221no—
1656C2×C4—221no—
1657C2×C4—221no—
1658C2×C4—221no—
1659C2×C4—444no—
1660C2×C4—444no—
1661C2×C4—444no—
1662C2×C4—444no—
1663C2×C4—444no—
1664C2×C4—444no—
1665C2×C4—444no—
1666C2×C4—444no—
1667C2×C4—882no—
1668C2×C4—882no—
1669C2×C4—882no—
1670C2×C4—882no—
1671C2×C4C2×D4×D1112yes—
1672C2×C4C2×D4×D1112yes—
1673C22—22no—
1674C22—22no—
1675C22—22no—
1676C22—22no—
1677C22—22no—
1678C22—22no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—114no—
1695C22—222no—
1696C22—222no—
1697C22—222no—
1698C22—222no—
1699C22—222no—
1700C22—222no—
1701C22—222no—
1702C22—222no—
1703C22—222no—
1704C22—222no—
1705C22—222no—
1706C22—222no—
1707C22—4416no—
1708C22—441no—
1709C22—441no—
1710C22—441no—
1711C22—441no—
1712C22—441no—
1713C22—441no—
1714C22—441no—
1715C22—441no—
1716C22—441no—
1717C22—441no—
1718C22—441no—
1719C22—441no—
1720C22—441no—
1721C22—441no—
1722C22—441no—
1723C22—888no—
1724C22C22×D4×D1111yescharacteristic
1725C22C2×#6704211yescharacteristic
1726C22#1062345311yescharacteristic
1727C22D11×H(5,𝔽2)11yescharacteristic
1728C22D11×H(5,𝔽2)11yescharacteristic
1729C22#1062345511yescharacteristic
1730C22D11×2−1+411yescharacteristic
1731C4—22no—
1732C4—22no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—41no—
1737C4—41no—
1738C4—41no—
1739C4—41no—
1740C4—41no—
1741C4—41no—
1742C4—41no—
1743C4—222no—
1744C4—222no—
1745C4—441no—
1746C4—441no—
1747C4—441no—
1748C4—441no—
1749C4—441no—
1750C4—441no—
1751C4—441no—
1752C4—441no—
1753C4—441no—
1754C4—441no—
1755C2—42no—
1756C2—42no—
1757C2—81no—
1758C2—224no—
1759C2—442no—
1760C2—442no—
1761C2—881no—
1762C2D11×#53711yescharacteristic
1763C2#1308224611yescharacteristic
1764C2#1308225311yescharacteristic
1765C2#1308279711yescharacteristic
1766C2#1308280911yescharacteristic
1767C2#1308282311yescharacteristic
1768C2#1308282411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2693C2
hypercenter#2693D11
hypocenterC11#36709
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2693

Complements

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

NH ≅ G/Ntype
1. C2×#10623188C2semidirect
2. C2×D11×#123C2semidirect
3. #13076904C2semidirect
4. #13076897C2semidirect
5. #13075158C2semidirect
6. #13075156C2semidirect
7. #13075146C2semidirect
8. #13075144C2semidirect
9. #13075126C2semidirect
10. #13075125C2semidirect
11. #13075121C2semidirect
12. #13074874C2semidirect
13. #13074871C2semidirect
14. #13074870C2semidirect
15. #13074867C2semidirect
16. #13074854C2semidirect
17. #13074853C2semidirect
18. #13074850C2semidirect
19. #13074849C2semidirect
20. #13074430C2semidirect
21. #13074363C2semidirect
22. #13073507C2semidirect
23. #13073504C2semidirect
24. #13072929C2semidirect
25. #13072928C2semidirect
26. #13072011C2semidirect
27. #13072005C2semidirect
28. #13071989C2semidirect
29. #13071983C2semidirect
30. #13071227C2semidirect
31. C11×#2693C2semidirect
35. C2×C11×#123C22semidirect
37. C2×#66992C22semidirect
39. C2×#66991C22semidirect
44. C2×#66983C22semidirect
48. C2×#66977C22semidirect
51. C2×#66951C22semidirect
53. C2×#66950C22semidirect
57. C2×#66947C22semidirect
62. C2×#66938C22semidirect
63. C2×#66938C22semidirect
66. C2×#66937C22semidirect
76. C2×#66932C22semidirect
77. C11×#400C22semidirect
78. C11×#400C22semidirect
79. C11×#397C22semidirect
80. C11×#396C22semidirect
81. C11×#396C22semidirect
84. C11×#386C22semidirect
85. C11×#386C22semidirect
86. C11×#386C22semidirect
87. C11×#385C22semidirect
88. C11×#380C22semidirect
89. C11×#380C22semidirect
92. #10622835C22semidirect
93. #10622833C22semidirect
94. #10622826C22semidirect
95. #10622826C22semidirect
96. #10622825C22semidirect
97. #10622825C22semidirect
98. #10622823C22semidirect
99. #10622607C22semidirect
100. #10622607C22semidirect
101. #10622607C22semidirect
102. #10622605C22semidirect
103. #10622604C22semidirect
104. #10622603C22semidirect
105. #10622602C22semidirect
106. #10622602C22semidirect
109. #10622600C22semidirect
110. #10622600C22semidirect
111. #10622599C22semidirect
112. #10622598C22semidirect
113. #10622597C22semidirect
114. #10622595C22semidirect
115. #10622592C22semidirect
116. #10622586C22semidirect
119. #10622574C22semidirect
120. #10622574C22semidirect
121. #10622574C22semidirect
122. #10622574C22semidirect
124. #10622572C22semidirect
125. #10622572C22semidirect
126. #10622572C22semidirect
127. #10622572C22semidirect
132. #10622569C22semidirect
133. #10622569C22semidirect
136. #10622565C22semidirect
137. #10622563C22semidirect
138. #10622563C22semidirect
139. #10622563C22semidirect
140. #10622562C22semidirect
141. #10622562C22semidirect
142. #10622561C22semidirect
143. #10622561C22semidirect
144. #10622559C22semidirect
145. #10622558C22semidirect
146. #10622557C22semidirect
147. #10622555C22semidirect
148. #10622555C22semidirect
149. #10622290C22semidirect
150. #10622289C22semidirect
151. #10622288C22semidirect
152. #10622287C22semidirect
155. #10622283C22semidirect
160. #10622281C22semidirect
161. #10622281C22semidirect
162. #10622281C22semidirect
163. #10622281C22semidirect
166. #10622280C22semidirect
167. #10622280C22semidirect
168. #10622280C22semidirect
169. #10622280C22semidirect
173. #10622278C22semidirect
174. #10622278C22semidirect
175. #10622278C22semidirect
176. #10622278C22semidirect
179. #10622274C22semidirect
180. #10622274C22semidirect
181. #10622271C22semidirect
182. #10622271C22semidirect
183. #10622270C22semidirect
184. #10622270C22semidirect
185. #10622270C22semidirect
186. #10622269C22semidirect
187. #10622260C22semidirect
188. #10622260C22semidirect
357. C22⋊C4×D11D4semidirect
633. #2693D11semidirect
839. C2×#123C2×D11semidirect
869. #400C2×D11semidirect
870. #400C2×D11semidirect
884. #397C2×D11semidirect
891. #396C2×D11semidirect
892. #396C2×D11semidirect
938. #386C2×D11semidirect
939. #386C2×D11semidirect
940. #386C2×D11semidirect
956. #385C2×D11semidirect
973. #380C2×D11semidirect
974. #380C2×D11semidirect
1505. C11#36709semidirect

Maximal subgroups

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

subgroupindex
C2×#106231882
C2×D11×#1232
#130769042
#130768972
#130751582
#130751562
#130751462
#130751442
#130751262
#130751252
#130751212
#130748742
#130748712
#130748702
#130748672
#130748542
#130748532
#130748502
#130748492
#130744302
#130743632
#130735072
#130735042
#130729292
#130729282
#130720112
#130720052
#130719892
#130719832
#130712272
C11×#26932
#3670911