Finite Group Databasebeta

← #14960745

Subgroups — #14960745

Order 2816.

2842 conjugacy classes of subgroups.

The subgroup lattice has 1812 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623165C211yesmaximal, characteristic, complemented
2C2×D11×#121C211yesmaximal, characteristic
3#13076904C211yesmaximal, characteristic, complemented
4#13076902C211yesmaximal, characteristic, complemented
5#13074974C211yesmaximal, characteristic, complemented
6#13074973C211yesmaximal, characteristic, complemented
7#13074970C211yesmaximal, characteristic, complemented
8#13074969C211yesmaximal, characteristic, complemented
9#13074967C211yesmaximal, characteristic, complemented
10#13074966C211yesmaximal, characteristic, complemented
11#13074963C211yesmaximal, characteristic, complemented
12#13074962C211yesmaximal, characteristic, complemented
13#13074872C211yesmaximal, characteristic, complemented
14#13074871C211yesmaximal, characteristic, complemented
15#13074868C211yesmaximal, characteristic, complemented
16#13074867C211yesmaximal, characteristic, complemented
17#13074866C211yesmaximal, characteristic, complemented
18#13074863C211yesmaximal, characteristic, complemented
19#13074862C211yesmaximal, characteristic, complemented
20#13074426C211yesmaximal, characteristic, complemented
21#13074422C211yesmaximal, characteristic, complemented
22#13073994C211yesmaximal, characteristic, complemented
23#13073992C211yesmaximal, characteristic, complemented
24#13072264C211yesmaximal, characteristic, complemented
25#13072262C211yesmaximal, characteristic, complemented
26#13071942C211yesmaximal, characteristic, complemented
27#13071940C211yesmaximal, characteristic, complemented
28#13071938C211yesmaximal, characteristic, complemented
29#13071938C211yesmaximal, characteristic, complemented
30#13071210C211yesmaximal, characteristic, complemented
31C11×#2672C211yesmaximal, characteristic, complemented
32C22×D4×D11C2211yescharacteristic
33C22×D4×D11C2211yescharacteristic
34C22×D4×D11C2211yescharacteristic
35C23×C4×D11C2211yescharacteristic
36C2×C11×#124C2211yescharacteristic, complemented
37C2×C11×#123C2211yescharacteristic, complemented
38C2×C11×C22⋊Q8C2211yescharacteristic, complemented
39C2×C11×#121C2211yescharacteristic
40C2×#67000C2211yescharacteristic, complemented
41C2×#66999C2211yescharacteristic
42C2×#66999C2211yescharacteristic, complemented
43C2×#66992C2211yescharacteristic
44C2×#66992C2211yescharacteristic
45C2×#66991C2211yescharacteristic
46C2×#66988C2211yescharacteristic, complemented
47C2×#66983C2211yescharacteristic
48C2×#66982C2211yescharacteristic, complemented
49C22×(C2×D11)⋊C4C2211yescharacteristic
50C2×#66977C2211yescharacteristic, complemented
51C2×#66977C2211yescharacteristic, complemented
52#10623165—28no—
53D11×#121—28no—
54C2×#66950C2211yescharacteristic
55C2×#66950C2211yescharacteristic, complemented
56C2×#66950C2211yescharacteristic, complemented
57C2×#66949C2211yescharacteristic
58C2×#66949C2211yescharacteristic
59C2×#66949C2211yescharacteristic, complemented
60C2×#66949C2211yescharacteristic, complemented
61C2×#66949C2211yescharacteristic, complemented
62C2×#66948C2211yescharacteristic
63C2×#66947C2211yescharacteristic, complemented
64C2×#66947C2211yescharacteristic, complemented
65C2×C4⋊C4×D11C2211yescharacteristic
66C2×#66939C2211yescharacteristic, complemented
67C2×#66938C2211yescharacteristic, complemented
68C2×#66938C2211yescharacteristic, complemented
69C2×#66937C2211yescharacteristic
70C2×#66937C2211yescharacteristic
71C2×#66936C2211yescharacteristic, complemented
72C2×#66936C2211yescharacteristic, complemented
73C2×C22⋊C4×D11C2211yescharacteristic
74C2×C22⋊C4×D11C2211yescharacteristic
75C2×C22⋊C4×D11C2211yescharacteristic
76C2×#66931C2211yescharacteristic, complemented
77C2×#66931C2211yescharacteristic, complemented
78C2×#66931C2211yescharacteristic, complemented
79C11×#399C2211yescharacteristic, complemented
80C11×#396C2211yescharacteristic, complemented
81C11×#395C2211yescharacteristic, complemented
82C11×#394C2211yescharacteristic, complemented
83C11×#394C2211yescharacteristic, complemented
84C11×#394C2211yescharacteristic, complemented
85C11×#389C2211yescharacteristic, complemented
86C11×#388C2211yescharacteristic, complemented
87C11×#386C2211yescharacteristic, complemented
88C11×#385C2211yescharacteristic, complemented
89C11×#380C2211yescharacteristic, complemented
90#10622842C2211yescharacteristic, complemented
91#10622835C2211yescharacteristic, complemented
92#10622835C2211yescharacteristic, complemented
93#10622835C2211yescharacteristic, complemented
94#10622834C2211yescharacteristic, complemented
95#10622833C2211yescharacteristic, complemented
96#10622826C2211yescharacteristic, complemented
97#10622823C2211yescharacteristic, complemented
98#10622607C2211yescharacteristic, complemented
99#10622607C2211yescharacteristic, complemented
100#10622607C2211yescharacteristic, complemented
101#10622607C2211yescharacteristic, complemented
102#10622605C2211yescharacteristic, complemented
103#10622605C2211yescharacteristic, complemented
104#10622604C2211yescharacteristic, complemented
105#10622604C2211yescharacteristic, complemented
106#10622604C2211yescharacteristic, complemented
107#10622603C2211yescharacteristic, complemented
108#10622602C2211yescharacteristic
109#10622602C2211yescharacteristic
110#10622602C2211yescharacteristic
111#10622602C2211yescharacteristic
112#10622602C2211yescharacteristic, complemented
113#10622600C2211yescharacteristic
114#10622600C2211yescharacteristic, complemented
115#10622597C2211yescharacteristic, complemented
116#10622596C2211yescharacteristic, complemented
117#10622592C2211yescharacteristic, complemented
118#10622586C2211yescharacteristic, complemented
119#10622586C2211yescharacteristic, complemented
120#10622585C2211yescharacteristic, complemented
121#10622585C2211yescharacteristic, complemented
122#10622574C2211yescharacteristic, complemented
123#10622574C2211yescharacteristic, complemented
124#10622574C2211yescharacteristic, complemented
125#10622574C2211yescharacteristic, complemented
126#10622572C2211yescharacteristic, complemented
127#10622572C2211yescharacteristic, complemented
128#10622572C2211yescharacteristic, complemented
129#10622572C2211yescharacteristic, complemented
130#10622572C2211yescharacteristic, complemented
131#10622572C2211yescharacteristic, complemented
132#10622572C2211yescharacteristic, complemented
133#10622572C2211yescharacteristic, complemented
134#10622571C2211yescharacteristic, complemented
135#10622570C2211yescharacteristic, complemented
136#10622570C2211yescharacteristic, complemented
137#10622569C2211yescharacteristic, complemented
138#10622569C2211yescharacteristic, complemented
139#10622568C2211yescharacteristic
140#10622568C2211yescharacteristic
141#10622568C2211yescharacteristic
142#10622568C2211yescharacteristic
143#10622568C2211yescharacteristic
144#10622568C2211yescharacteristic
145#10622568C2211yescharacteristic
146#10622568C2211yescharacteristic
147#10622568C2211yescharacteristic
148#10622568C2211yescharacteristic
149#10622564C2211yescharacteristic, complemented
150#10622563C2211yescharacteristic, complemented
151#10622563C2211yescharacteristic, complemented
152#10622562C2211yescharacteristic, complemented
153#10622561C2211yescharacteristic, complemented
154#10622561C2211yescharacteristic, complemented
155#10622561C2211yescharacteristic, complemented
156#10622560C2211yescharacteristic, complemented
157#10622560C2211yescharacteristic, complemented
158#10622558C2211yescharacteristic, complemented
159#10622557C2211yescharacteristic, complemented
160#10622555C2211yescharacteristic, complemented
161#10622553C2211yescharacteristic, complemented
162#10622552C2211yescharacteristic, complemented
163C4×(C2×D11)⋊C4C2211yescharacteristic
164#10622541C2211yescharacteristic, complemented
165#10622286C2211yescharacteristic, complemented
166#10622286C2211yescharacteristic, complemented
167#10622285C2211yescharacteristic, complemented
168#10622285C2211yescharacteristic, complemented
169#10622285C2211yescharacteristic, complemented
170#10622283C2211yescharacteristic, complemented
171#10622282C2211yescharacteristic, complemented
172#10622281C2211yescharacteristic
173#10622281C2211yescharacteristic
174#10622281C2211yescharacteristic
175#10622281C2211yescharacteristic
176#10622281C2211yescharacteristic, complemented
177#10622281C2211yescharacteristic, complemented
178#10622281C2211yescharacteristic, complemented
179#10622280C2211yescharacteristic
180#10622280C2211yescharacteristic, complemented
181#10622279C2211yescharacteristic
182#10622278C2211yescharacteristic, complemented
183#10622278C2211yescharacteristic, complemented
184#10622274C2211yescharacteristic, complemented
185#10622270C2211yescharacteristic, complemented
186#10622269C2211yescharacteristic, complemented
187#10622260C2211yescharacteristic, complemented
188#10622260C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C24×D11C2311yescharacteristic
191C24×D11C2311yescharacteristic
192C22×Q8×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C22×D4×C11C2311yescharacteristic
195C22×D4×C11C2311yescharacteristic
196C23×C4×C11C2311yescharacteristic
197C23×C4×C11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C22×C22⋊D11C2311yescharacteristic
202C22×C22⋊D11C2311yescharacteristic
203C22×C22⋊D11C2311yescharacteristic
204C23×Dic11C2311yescharacteristic
205C23×Dic11C2311yescharacteristic
206C2×D4×D11—24no—
207C2×D4×D11—24no—
208C2×D4×D11—24no—
209C2×D4×D11—42no—
210C2×D4×D11—42no—
211C2×D4×D11—42no—
212C2×D4×D11—42no—
213C2×D4×D11—42no—
214C2×D4×D11—42no—
215C22×D44C2311yescharacteristic
216C22×D44C2311yescharacteristic
217C22×D44C2311yescharacteristic
218C22×C4×D11—24no—
219C22×C4×D11—42no—
220C22×C4×D11—42no—
221C22×C4×D11C2311yescharacteristic
222C22×C4×D11C2311yescharacteristic
223C22×C4×D11C2311yescharacteristic
224C22×C4×D11C2311yescharacteristic
225C22×C4×D11C2311yescharacteristic
226C22×C4×D11C2311yescharacteristic
227C22×C4×D11C2311yescharacteristic
228C22×C4×D11C2311yescharacteristic
229C22×Dic22C2311yescharacteristic
230C22×Dic22C2311yescharacteristic
231C22×Dic22C2311yescharacteristic
232C11×#124—42no—
233C11×#123—42no—
234C11×C22⋊Q8—24no—
235C11×#121—24no—
236C2×C11×C4⋊C4C2311yescharacteristic
237C2×C11×C4⋊C4C2311yescharacteristic
238C2×C11×C4⋊C4C2311yescharacteristic
239C2×C11×C4⋊C4C2311yescharacteristic
240C2×C11×C4⋊C4C2311yescharacteristic
241C2×C11×C4⋊C4C2311yescharacteristic
242C2×C11×C4⋊C4C2311yescharacteristic
243C2×C11×C4⋊C4C2311yescharacteristic
244C2×C11×C4⋊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×C11×C22⋊C4C2311yescharacteristic
253C2×C11×C22⋊C4C2311yescharacteristic
254C2×C11×C22⋊C4C2311yescharacteristic
255C2×C11×C22⋊C4C2311yescharacteristic
256C2×C11×C22⋊C4C2311yescharacteristic
257C2×C11×C22⋊C4C2311yescharacteristic
258C2×C42×C11C2311yescharacteristic
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
272#67000—42no—
273#66999—24no—
274#66999—24no—
275#66992—24no—
276#66992—24no—
277#66991—24no—
278#66988—42no—
279#66983—24no—
280#66982—42no—
281C2×(C2×D11)⋊C4—24no—
282C2×(C2×D11)⋊C4C2311yescharacteristic
283C2×(C2×D11)⋊C4C2311yescharacteristic
284C2×(C2×D11)⋊C4C2311yescharacteristic
285C2×(C2×D11)⋊C4C2311yescharacteristic
286C2×(C2×D11)⋊C4C2311yescharacteristic
287C2×(C2×D11)⋊C4C2311yescharacteristic
288C2×(C2×D11)⋊C4C2311yescharacteristic
289C2×(C2×D11)⋊C4C2311yescharacteristic
290C2×(C2×D11)⋊C4C2311yescharacteristic
291C2×(C2×D11)⋊C4C2311yescharacteristic
292C2×(C2×D11)⋊C4C2311yescharacteristic
293C2×(C2×D11)⋊C4C2311yescharacteristic
294C2×(C2×D11)⋊C4C2311yescharacteristic
295C2×(C2×D11)⋊C4C2311yescharacteristic
296C2×(C2×D11)⋊C4C2311yescharacteristic
297C2×(C2×D11)⋊C4C2311yescharacteristic
298C2×(C2×D11)⋊C4C2311yescharacteristic
299C2×(C2×D11)⋊C4C2311yescharacteristic
300C2×(C2×D11)⋊C4C2311yescharacteristic
301C2×(C2×D11)⋊C4C2311yescharacteristic
302C2×(C2×D11)⋊C4C2311yescharacteristic
303C2×(C2×D11)⋊C4C2311yescharacteristic
304C2×(C2×D11)⋊C4C2311yescharacteristic
305C2×(C2×D11)⋊C4C2311yescharacteristic
306C2×(C2×D11)⋊C4C2311yescharacteristic
307C2×(C2×D11)⋊C4C2311yescharacteristic
308C2×(C2×D11)⋊C4C2311yescharacteristic
309C2×(C2×D11)⋊C4C2311yescharacteristic
310C2×(C2×D11)⋊C4C2311yescharacteristic
311C2×(C2×D11)⋊C4C2311yescharacteristic
312C2×(C2×D11)⋊C4C2311yescharacteristic
313C2×(C2×D11)⋊C4C2311yescharacteristic
314C2×(C2×D11)⋊C4C2311yescharacteristic
315C2×(C2×D11)⋊C4C2311yescharacteristic
316C2×C4⋊Dic11C2311yescharacteristic
317C2×C4⋊Dic11C2311yescharacteristic
318C2×C4⋊Dic11C2311yescharacteristic
319C2×C4⋊Dic11C2311yescharacteristic
320C2×C4⋊Dic11C2311yescharacteristic
321C2×C4⋊Dic11C2311yescharacteristic
322C2×C4⋊Dic11C2311yescharacteristic
323C2×C4⋊Dic11C2311yescharacteristic
324C2×C4⋊Dic11C2311yescharacteristic
325#66977—24no—
326#66977—42no—
327C2×Dic11⋊C4C2311yescharacteristic
328C2×Dic11⋊C4C2311yescharacteristic
329C2×Dic11⋊C4C2311yescharacteristic
330C2×Dic11⋊C4C2311yescharacteristic
331C2×Dic11⋊C4C2311yescharacteristic
332C2×Dic11⋊C4C2311yescharacteristic
333C2×Dic11⋊C4C2311yescharacteristic
334C2×Dic11⋊C4C2311yescharacteristic
335C2×Dic11⋊C4C2311yescharacteristic
336C2×Dic11⋊C4C2311yescharacteristic
337C2×Dic11⋊C4C2311yescharacteristic
338C2×Dic11⋊C4C2311yescharacteristic
339C2×Dic11⋊C4C2311yescharacteristic
340C2×Dic11⋊C4C2311yescharacteristic
341C2×Dic11⋊C4C2311yescharacteristic
342C2×Dic11⋊C4C2311yescharacteristic
343C2×Dic11⋊C4C2311yescharacteristic
344C2×Dic11⋊C4C2311yescharacteristic
345C2×C4×Dic11C2311yescharacteristic
346C2×C4×Dic11C2311yescharacteristic
347C2×C4×Dic11C2311yescharacteristic
348#66950—24no—
349#66950—24no—
350#66950—42no—
351#66949—24no—
352#66949—24no—
353#66949—24no—
354#66949—24no—
355#66949—42no—
356#66948—24no—
357#66947—42no—
358#66947—42no—
359C4⋊C4×D11—24no—
360#66939—42no—
361#66938—42no—
362#66938—42no—
363#66937—24no—
364#66937—24no—
365#66936—42no—
366#66936—42no—
367C22⋊C4×D11—24no—
368C22⋊C4×D11—24no—
369C22⋊C4×D11D418yes—
370#66931—24no—
371#66931—24no—
372#66931—42no—
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#36718—111nomaximal, Sylow
398C24×C11C2411yescharacteristic
399C24×C11C2411yescharacteristic
400C24×C11C2411yescharacteristic
401C23×D11—22no—
402C23×D11—22no—
403C23×D11—22no—
404C23×D11—22no—
405C23×D11—22no—
406C23×D11—22no—
407C23×D11—22no—
408C23×D11—22no—
409C23×D11—22no—
410C23×D11—22no—
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×D11C2411yescharacteristic
423C23×D11C2411yescharacteristic
424C23×D11C2411yescharacteristic
425C23×D11C2411yescharacteristic
426C2×Q8×C11—22no—
427C2×Q8×C11—41no—
428C2×Q8×C11—41no—
429C2×D4×C11—22no—
430C2×D4×C11—22no—
431C2×D4×C11—22no—
432C2×D4×C11—22no—
433C2×D4×C11—22no—
434C2×D4×C11—22no—
435C2×D4×C11—41no—
436C2×D4×C11—41no—
437C2×D4×C11—41no—
438C22×C4×C11—22no—
439C22×C4×C11—22no—
440C22×C4×C11—22no—
441C22×C4×C11—41no—
442C22×C4×C11—41no—
443C22×C4×C11—41no—
444C22×C4×C11C2411yescharacteristic
445C22×C4×C11C2411yescharacteristic
446C22×C4×C11C2411yescharacteristic
447C22×C4×C11C2411yescharacteristic
448C22×C4×C11C2411yescharacteristic
449C22×C4×C11C2411yescharacteristic
450C22×C4×C11C2411yescharacteristic
451C22×C4×C11C2411yescharacteristic
452C22×C4×C11C2411yescharacteristic
453C22×C4×C11C2411yescharacteristic
454C22×C4×C11C2411yescharacteristic
455C22×C4×C11C2411yescharacteristic
456C2×C22⋊D11—22no—
457C2×C22⋊D11—22no—
458C2×C22⋊D11—22no—
459C2×C22⋊D11—22no—
460C2×C22⋊D11—22no—
461C2×C22⋊D11—22no—
462C2×C22⋊D11—22no—
463C2×C22⋊D11—22no—
464C2×C22⋊D11—22no—
465C2×C22⋊D11—22no—
466C2×C22⋊D11—22no—
467C2×C22⋊D11—22no—
468C2×C22⋊D11—41no—
469C2×C22⋊D11—41no—
470C2×C22⋊D11—41no—
471C2×C22⋊D11—41no—
472C2×C22⋊D11—41no—
473C2×C22⋊D11—41no—
474C22×Dic11—22no—
475C22×Dic11—22no—
476C22×Dic11—22no—
477C22×Dic11—41no—
478C22×Dic11—41no—
479C22×Dic11—41no—
480C22×Dic11C2411yescharacteristic
481C22×Dic11C2411yescharacteristic
482C22×Dic11C2411yescharacteristic
483C22×Dic11C2411yescharacteristic
484C22×Dic11C2411yescharacteristic
485C22×Dic11C2411yescharacteristic
486C22×Dic11C2411yescharacteristic
487C22×Dic11C2411yescharacteristic
488C22×Dic11C2411yescharacteristic
489C22×Dic11C2411yescharacteristic
490C22×Dic11C2411yescharacteristic
491C22×Dic11C2411yescharacteristic
492D4×D11—416no—
493D4×D11—416no—
494D4×D11—416no—
495C2×D44—22no—
496C2×D44—22no—
497C2×D44—22no—
498C2×D44—22no—
499C2×D44—22no—
500C2×D44—22no—
501C2×D44—41no—
502C2×D44—41no—
503C2×D44—41no—
504C2×C4×D11—22no—
505C2×C4×D11—22no—
506C2×C4×D11—22no—
507C2×C4×D11—22no—
508C2×C4×D11—22no—
509C2×C4×D11—22no—
510C2×C4×D11—22no—
511C2×C4×D11—22no—
512C2×C4×D11—22no—
513C2×C4×D11—22no—
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—22no—
531C2×Dic22—22no—
532C2×Dic22—41no—
533C2×Dic22—41no—
534C2×Dic22—41no—
535C2×Dic22—41no—
536C2×Dic22—41no—
537C2×Dic22—41no—
538C11×C4⋊C4—22no—
539C11×C4⋊C4—22no—
540C11×C4⋊C4—22no—
541C11×C4⋊C4—22no—
542C11×C4⋊C4—22no—
543C11×C4⋊C4—41no—
544C11×C4⋊C4—41no—
545C11×C4⋊C4—41no—
546C11×C4⋊C4—41no—
547C11×C22⋊C4—22no—
548C11×C22⋊C4—22no—
549C11×C22⋊C4—22no—
550C11×C22⋊C4—22no—
551C11×C22⋊C4—22no—
552C11×C22⋊C4—41no—
553C11×C22⋊C4—41no—
554C11×C22⋊C4—41no—
555C11×C22⋊C4—41no—
556C11×C22⋊C4—41no—
557C11×C22⋊C4—41no—
558C11×C22⋊C4—41no—
559C11×C22⋊C4C2×D414yes—
560C42×C11—41no—
561C22⋊Dic11—22no—
562C22⋊Dic11—22no—
563C22⋊Dic11—22no—
564C22⋊Dic11—41no—
565C22⋊Dic11—41no—
566C22⋊Dic11—41no—
567C22⋊Dic11—41no—
568C22⋊Dic11—41no—
569C22⋊Dic11—41no—
570C22⋊Dic11—41no—
571C22⋊Dic11—41no—
572C22⋊Dic11—41no—
573C22⋊Dic11C2×D414yes—
574(C2×D11)⋊C4—22no—
575(C2×D11)⋊C4—22no—
576(C2×D11)⋊C4—22no—
577(C2×D11)⋊C4—22no—
578(C2×D11)⋊C4—22no—
579(C2×D11)⋊C4—22no—
580(C2×D11)⋊C4—22no—
581(C2×D11)⋊C4—22no—
582(C2×D11)⋊C4—22no—
583(C2×D11)⋊C4—22no—
584(C2×D11)⋊C4—22no—
585(C2×D11)⋊C4—22no—
586(C2×D11)⋊C4—22no—
587(C2×D11)⋊C4—22no—
588(C2×D11)⋊C4—22no—
589(C2×D11)⋊C4—22no—
590(C2×D11)⋊C4—41no—
591(C2×D11)⋊C4—41no—
592(C2×D11)⋊C4—41no—
593(C2×D11)⋊C4—41no—
594(C2×D11)⋊C4—41no—
595(C2×D11)⋊C4—41no—
596(C2×D11)⋊C4—41no—
597(C2×D11)⋊C4—41no—
598(C2×D11)⋊C4—41no—
599(C2×D11)⋊C4—41no—
600(C2×D11)⋊C4—41no—
601(C2×D11)⋊C4—41no—
602(C2×D11)⋊C4—41no—
603(C2×D11)⋊C4—41no—
604(C2×D11)⋊C4—41no—
605(C2×D11)⋊C4—41no—
606(C2×D11)⋊C4C2×D414yes—
607(C2×D11)⋊C4C2×D414yes—
608C4⋊Dic11—22no—
609C4⋊Dic11—22no—
610C4⋊Dic11—22no—
611C4⋊Dic11—22no—
612C4⋊Dic11—22no—
613C4⋊Dic11—22no—
614C4⋊Dic11—22no—
615C4⋊Dic11—41no—
616C4⋊Dic11—41no—
617Dic11⋊C4—22no—
618Dic11⋊C4—22no—
619Dic11⋊C4—22no—
620Dic11⋊C4—22no—
621Dic11⋊C4—22no—
622Dic11⋊C4—22no—
623Dic11⋊C4—22no—
624Dic11⋊C4—22no—
625Dic11⋊C4—22no—
626Dic11⋊C4—22no—
627Dic11⋊C4—22no—
628Dic11⋊C4—22no—
629Dic11⋊C4—41no—
630Dic11⋊C4—41no—
631Dic11⋊C4—41no—
632Dic11⋊C4—41no—
633Dic11⋊C4—41no—
634Dic11⋊C4—41no—
635C4×Dic11—41no—
636C4×Dic11—41no—
637C4×Dic11—41no—
638C2×#543—111no—
639C22×#121—111no—
640#2848—111no—
641#2848—111no—
642#2681—111no—
643#2681—111no—
644#2681—111no—
645#2681—111no—
646#2681—111no—
647#2681—111no—
648#2681—111no—
649#2681—111no—
650#2672—111no—
651#2672—111no—
652#2672—111no—
653#2672—111no—
654#2672—111no—
655#2672—111no—
656#2672—111no—
657#2672D1111yescharacteristic, complemented
658#2626—111no—
659#2626—111no—
660#2583—111no—
661#2583—111no—
662#2435—111no—
663#2435—111no—
664#2405—111no—
665#2405—111no—
666#2405—111no—
667#2405—111no—
668#2312—111no—
669C23×C11—21no—
670C23×C11—21no—
671C23×C11—21no—
672C23×C11—21no—
673C23×C11—21no—
674C23×C11—21no—
675C23×C11—21no—
676C23×C11—21no—
677C23×C11—21no—
678C23×C11—21no—
679C23×C11—21no—
680C23×C11—21no—
681C23×C11—21no—
682C23×C11—21no—
683C23×C11—21no—
684C23×C11—21no—
685C23×C11—21no—
686C23×C11—21no—
687C23×C11—21no—
688C23×C11C22×D412yes—
689C23×C11H(5,𝔽2)12yes—
690C23×C11C2511yescharacteristic
691C22×D11—21no—
692C22×D11—21no—
693C22×D11—21no—
694C22×D11—21no—
695C22×D11—28no—
696C22×D11—21no—
697C22×D11—21no—
698C22×D11—21no—
699C22×D11—21no—
700C22×D11—21no—
701C22×D11—21no—
702C22×D11—21no—
703C22×D11—21no—
704C22×D11—21no—
705C22×D11—21no—
706C22×D11—21no—
707C22×D11—21no—
708C22×D11—28no—
709C22×D11—21no—
710C22×D11—21no—
711C22×D11—21no—
712C22×D11—21no—
713C22×D11—21no—
714C22×D11—21no—
715C22×D11—21no—
716C22×D11—44no—
717C22×D11—44no—
718C22×D11—44no—
719C22×D11—44no—
720C22×D11—44no—
721C22×D11—44no—
722C22×D11—44no—
723C22×D11—44no—
724C22×D11—44no—
725C22×D11—44no—
726C22×D11—44no—
727C22×D11—82no—
728C22×D11—82no—
729C22×D11—82no—
730C22×D11—82no—
731C22×D11—82no—
732C22×D11—82no—
733C22×D11—82no—
734C22×D11—82no—
735C22×D11C22×D412yes—
736C22×D11C22×D412yes—
737C22×D11H(5,𝔽2)12yes—
738C22×D112−1+412yes—
739C22×D112−1+412yes—
740Q8×C11—82no—
741D4×C11—44no—
742D4×C11—44no—
743D4×C11—44no—
744C2×C4×C11—21no—
745C2×C4×C11—21no—
746C2×C4×C11—21no—
747C2×C4×C11—21no—
748C2×C4×C11—21no—
749C2×C4×C11—21no—
750C2×C4×C11—21no—
751C2×C4×C11—21no—
752C2×C4×C11—21no—
753C2×C4×C11—21no—
754C2×C4×C11—21no—
755C2×C4×C11—21no—
756C2×C4×C11—21no—
757C2×C4×C11—21no—
758C2×C4×C11—21no—
759C2×C4×C11—21no—
760C2×C4×C11—21no—
761C2×C4×C11—21no—
762C2×C4×C11—21no—
763C2×C4×C11—21no—
764C2×C4×C11—21no—
765C2×C4×C11—21no—
766C2×C4×C11—21no—
767C2×C4×C11—21no—
768C2×C4×C11—21no—
769C2×C4×C11—21no—
770C2×C4×C11—21no—
771C2×C4×C11—21no—
772C2×C4×C11—21no—
773C2×C4×C11—21no—
774C2×C4×C11—21no—
775C2×C4×C11—21no—
776C2×C4×C11—21no—
777C2×C4×C11—44no—
778C2×C4×C11—82no—
779C2×C4×C11C22×D412yes—
780C2×C4×C11C22×D412yes—
781C2×C4×C11H(5,𝔽2)12yes—
782C22⋊D11—44no—
783C22⋊D11—44no—
784C22⋊D11—44no—
785C22⋊D11—44no—
786C22⋊D11—44no—
787C22⋊D11—44no—
788C2×Dic11—21no—
789C2×Dic11—21no—
790C2×Dic11—21no—
791C2×Dic11—21no—
792C2×Dic11—21no—
793C2×Dic11—21no—
794C2×Dic11—21no—
795C2×Dic11—21no—
796C2×Dic11—21no—
797C2×Dic11—21no—
798C2×Dic11—21no—
799C2×Dic11—21no—
800C2×Dic11—21no—
801C2×Dic11—21no—
802C2×Dic11—21no—
803C2×Dic11—21no—
804C2×Dic11—21no—
805C2×Dic11—21no—
806C2×Dic11—21no—
807C2×Dic11—21no—
808C2×Dic11—21no—
809C2×Dic11—21no—
810C2×Dic11—21no—
811C2×Dic11—21no—
812C2×Dic11—21no—
813C2×Dic11—21no—
814C2×Dic11—21no—
815C2×Dic11—21no—
816C2×Dic11—21no—
817C2×Dic11—21no—
818C2×Dic11—21no—
819C2×Dic11—21no—
820C2×Dic11—21no—
821C2×Dic11—44no—
822C2×Dic11—82no—
823C2×Dic11C22×D412yes—
824C2×Dic11C22×D412yes—
825C2×Dic11H(5,𝔽2)12yes—
826D44—44no—
827D44—44no—
828D44—44no—
829C4×D11—28no—
830C4×D11—44no—
831C4×D11—44no—
832C4×D11—44no—
833C4×D11—44no—
834C4×D11—44no—
835C4×D11—82no—
836C4×D11—82no—
837Dic22—82no—
838Dic22—82no—
839Dic22—82no—
840C23×D4—111no—
841C23×D4—111no—
842C23×D4—111no—
843C24×C4—111no—
844#543—228no—
845C2×#124—111no—
846C2×#124—111no—
847C2×#124—111no—
848C2×#124C2×D1111yescharacteristic, complemented
849C2×#123—111no—
850C2×#123—111no—
851C2×#123—111no—
852C2×#123—111no—
853C2×#123—111no—
854C2×#123—111no—
855C2×#123—111no—
856C2×#123C2×D1111yescharacteristic, complemented
857C2×C22⋊Q8—111no—
858C2×C22⋊Q8—111no—
859C2×C22⋊Q8—111no—
860C2×C22⋊Q8—111no—
861C2×C22⋊Q8—111no—
862C2×C22⋊Q8—111no—
863C2×C22⋊Q8—111no—
864C2×C22⋊Q8—111no—
865C2×C22⋊Q8—111no—
866C2×C22⋊Q8—111no—
867C2×C22⋊Q8—111no—
868C2×C22⋊Q8—111no—
869C2×C22⋊Q8—111no—
870C2×C22⋊Q8—111no—
871C2×C22⋊Q8—111no—
872C2×C22⋊Q8C2×D1111yescharacteristic, complemented
873C2×#121—111no—
874C2×#121—111no—
875C2×#121—111no—
876C2×#121—111no—
877C2×#121—111no—
878C2×#121—111no—
879C2×#121—111no—
880C2×#121—228no—
881C2×#121C2×D1111yescharacteristic
882C22×C4⋊C4—111no—
883C22×C22⋊C4—111no—
884C22×C22⋊C4—111no—
885C22×C22⋊C4—111no—
886C22×C22⋊C4—111no—
887#399—111no—
888#399—111no—
889#399—111no—
890#399C2×D1111yescharacteristic, complemented
891#398—111no—
892#398—111no—
893#398—111no—
894#398—111no—
895#396—111no—
896#396—111no—
897#396—111no—
898#396—111no—
899#396—111no—
900#396—111no—
901#396—111no—
902#396C2×D1111yescharacteristic, complemented
903#395—111no—
904#395—111no—
905#395—111no—
906#395C2×D1111yescharacteristic, complemented
907#394—111no—
908#394—111no—
909#394—111no—
910#394—111no—
911#394—111no—
912#394—111no—
913#394—111no—
914#394—111no—
915#394—111no—
916#394—111no—
917#394—111no—
918#394—111no—
919#394—111no—
920#394—111no—
921#394—111no—
922#394—111no—
923#394—111no—
924#394—111no—
925#394—111no—
926#394—111no—
927#394—111no—
928#394C2×D1111yescharacteristic, complemented
929#394C2×D1111yescharacteristic, complemented
930#394C2×D1111yescharacteristic, complemented
931#393—111no—
932#393—111no—
933#393—111no—
934#393—111no—
935#390—111no—
936#390—111no—
937#390—111no—
938#390—111no—
939#389—111no—
940#389—111no—
941#389—111no—
942#389—111no—
943#389—111no—
944#389—111no—
945#389—111no—
946#389C2×D1111yescharacteristic, complemented
947#388—111no—
948#388—111no—
949#388—111no—
950#388—111no—
951#388—111no—
952#388—111no—
953#388—111no—
954#388C2×D1111yescharacteristic, complemented
955#386—111no—
956#386—111no—
957#386—111no—
958#386—111no—
959#386—111no—
960#386—111no—
961#386—111no—
962#386C2×D1111yescharacteristic, complemented
963#385—111no—
964#385—111no—
965#385—111no—
966#385—111no—
967#385—111no—
968#385—111no—
969#385—111no—
970#385—111no—
971#385—111no—
972#385—111no—
973#385—111no—
974#385—111no—
975#385—111no—
976#385—111no—
977#385—111no—
978#385C2×D1111yescharacteristic, complemented
979#380—111no—
980#380—111no—
981#380—111no—
982#380—111no—
983#380—111no—
984#380C2×D1111yescharacteristic, complemented
985#379—111no—
986#379—111no—
987#379—111no—
988#379—111no—
989#379—111no—
990#379—111no—
991#379—111no—
992#379—111no—
993#379—111no—
994#379—111no—
995C4×C22⋊C4—111no—
996C4×C22⋊C4—111no—
997C22×C11—22no—
998C22×C11—22no—
999C22×C11—22no—
1000C22×C11—22no—
1001C22×C11—22no—
1002C22×C11—22no—
1003C22×C11—41no—
1004C22×C11—41no—
1005C22×C11—41no—
1006C22×C11—41no—
1007C22×C11—41no—
1008C22×C11—41no—
1009C22×C11—41no—
1010C22×C11—41no—
1011C22×C11—41no—
1012C22×C11—41no—
1013C22×C11—41no—
1014C22×C11—41no—
1015C22×C11—41no—
1016C22×C11—41no—
1017C22×C11—41no—
1018C22×C11C23×D411yescharacteristic
1019C22×C11C2×H(5,𝔽2)11yescharacteristic
1020C22×C11C2×H(5,𝔽2)11yescharacteristic
1021C22×C11C2×H(5,𝔽2)11yescharacteristic
1022C22×C11C2×H(5,𝔽2)11yescharacteristic
1023C22×C11C2×2−1+411yescharacteristic
1024C22×C11C2×2−1+411yescharacteristic
1025C2×D11—22no—
1026C2×D11—22no—
1027C2×D11—22no—
1028C2×D11—22no—
1029C2×D11—22no—
1030C2×D11—22no—
1031C2×D11—22no—
1032C2×D11—22no—
1033C2×D11—22no—
1034C2×D11—22no—
1035C2×D11—22no—
1036C2×D11—22no—
1037C2×D11—416no—
1038C2×D11—41no—
1039C2×D11—41no—
1040C2×D11—41no—
1041C2×D11—41no—
1042C2×D11—41no—
1043C2×D11—41no—
1044C2×D11—41no—
1045C2×D11—41no—
1046C2×D11—41no—
1047C2×D11—41no—
1048C2×D11—41no—
1049C2×D11—41no—
1050C2×D11—41no—
1051C2×D11—41no—
1052C2×D11—41no—
1053C2×D11—88no—
1054C2×D11—88no—
1055C2×D11#53614yes—
1056C4×C11—22no—
1057C4×C11—22no—
1058C4×C11—22no—
1059C4×C11—41no—
1060C4×C11—41no—
1061C4×C11—41no—
1062C4×C11—41no—
1063C4×C11—41no—
1064C4×C11—41no—
1065C4×C11—41no—
1066C4×C11—41no—
1067C4×C11—41no—
1068Dic11—22no—
1069Dic11—22no—
1070Dic11—22no—
1071Dic11—41no—
1072Dic11—41no—
1073Dic11—41no—
1074Dic11—41no—
1075Dic11—41no—
1076Dic11—41no—
1077Dic11—41no—
1078Dic11—41no—
1079Dic11—41no—
1080C25—111no—
1081C25—111no—
1082C25—111no—
1083C22×Q8—111no—
1084C22×Q8—111no—
1085C22×Q8—111no—
1086C22×Q8C22×D1111yescharacteristic
1087C22×D4—111no—
1088C22×D4—111no—
1089C22×D4—111no—
1090C22×D4—111no—
1091C22×D4—111no—
1092C22×D4—111no—
1093C22×D4—111no—
1094C22×D4—111no—
1095C22×D4—111no—
1096C22×D4—224no—
1097C22×D4—224no—
1098C22×D4—224no—
1099C22×D4—442no—
1100C22×D4—442no—
1101C22×D4—442no—
1102C22×D4—442no—
1103C22×D4—442no—
1104C22×D4—442no—
1105C22×D4C22×D1111yescharacteristic
1106C22×D4C22×D1111yescharacteristic
1107C22×D4C22×D1111yescharacteristic
1108C23×C4—111no—
1109C23×C4—111no—
1110C23×C4—111no—
1111C23×C4—111no—
1112C23×C4—111no—
1113C23×C4—111no—
1114C23×C4—111no—
1115C23×C4—111no—
1116C23×C4—111no—
1117C23×C4—111no—
1118C23×C4—224no—
1119C23×C4—442no—
1120C23×C4—442no—
1121C23×C4C22×D1111yescharacteristic
1122C23×C4C22×D1111yescharacteristic
1123#124—42no—
1124#124—442no—
1125#124—442no—
1126#124—442no—
1127#123—42no—
1128#123—442no—
1129#123—442no—
1130#123—442no—
1131#123—442no—
1132#123—442no—
1133#123—442no—
1134#123—442no—
1135C22⋊Q8—24no—
1136C22⋊Q8—224no—
1137C22⋊Q8—224no—
1138C22⋊Q8—224no—
1139C22⋊Q8—224no—
1140C22⋊Q8—224no—
1141C22⋊Q8—224no—
1142C22⋊Q8—224no—
1143C22⋊Q8—224no—
1144C22⋊Q8—224no—
1145C22⋊Q8—224no—
1146C22⋊Q8—224no—
1147C22⋊Q8—442no—
1148C22⋊Q8—442no—
1149C22⋊Q8—442no—
1150C22⋊Q8—442no—
1151#121—24no—
1152#121—224no—
1153#121—224no—
1154#121—224no—
1155#121—224no—
1156#121—224no—
1157#121—224no—
1158#121—224no—
1159C2×C4⋊C4—111no—
1160C2×C4⋊C4—111no—
1161C2×C4⋊C4—111no—
1162C2×C4⋊C4—111no—
1163C2×C4⋊C4—111no—
1164C2×C4⋊C4—111no—
1165C2×C4⋊C4—111no—
1166C2×C4⋊C4—111no—
1167C2×C4⋊C4—111no—
1168C2×C4⋊C4—111no—
1169C2×C4⋊C4—111no—
1170C2×C4⋊C4—111no—
1171C2×C4⋊C4—111no—
1172C2×C4⋊C4—111no—
1173C2×C4⋊C4—111no—
1174C2×C4⋊C4—111no—
1175C2×C4⋊C4—111no—
1176C2×C4⋊C4—111no—
1177C2×C4⋊C4—111no—
1178C2×C4⋊C4—111no—
1179C2×C4⋊C4—111no—
1180C2×C4⋊C4—111no—
1181C2×C4⋊C4—111no—
1182C2×C4⋊C4—111no—
1183C2×C4⋊C4—111no—
1184C2×C4⋊C4—111no—
1185C2×C4⋊C4—111no—
1186C2×C4⋊C4—224no—
1187C2×C4⋊C4C22×D1111yescharacteristic
1188C2×C4⋊C4C22×D1111yescharacteristic
1189C2×C4⋊C4C22×D1111yescharacteristic
1190C2×C4⋊C4C22×D1111yescharacteristic
1191C2×C4⋊C4C22×D1111yescharacteristic
1192C2×C4⋊C4C22×D1111yescharacteristic
1193C2×C4⋊C4C22×D1111yescharacteristic
1194C2×C4⋊C4C22×D1111yescharacteristic
1195C2×C4⋊C4C22×D1111yescharacteristic
1196C2×C22⋊C4—111no—
1197C2×C22⋊C4—111no—
1198C2×C22⋊C4—111no—
1199C2×C22⋊C4—118no—
1200C2×C22⋊C4—111no—
1201C2×C22⋊C4—111no—
1202C2×C22⋊C4—111no—
1203C2×C22⋊C4—111no—
1204C2×C22⋊C4—111no—
1205C2×C22⋊C4—111no—
1206C2×C22⋊C4—111no—
1207C2×C22⋊C4—111no—
1208C2×C22⋊C4—111no—
1209C2×C22⋊C4—111no—
1210C2×C22⋊C4—111no—
1211C2×C22⋊C4—111no—
1212C2×C22⋊C4—111no—
1213C2×C22⋊C4—111no—
1214C2×C22⋊C4—111no—
1215C2×C22⋊C4—111no—
1216C2×C22⋊C4—111no—
1217C2×C22⋊C4—111no—
1218C2×C22⋊C4—111no—
1219C2×C22⋊C4—111no—
1220C2×C22⋊C4—111no—
1221C2×C22⋊C4—111no—
1222C2×C22⋊C4—111no—
1223C2×C22⋊C4—111no—
1224C2×C22⋊C4—111no—
1225C2×C22⋊C4—111no—
1226C2×C22⋊C4—111no—
1227C2×C22⋊C4—111no—
1228C2×C22⋊C4—111no—
1229C2×C22⋊C4—111no—
1230C2×C22⋊C4—111no—
1231C2×C22⋊C4—111no—
1232C2×C22⋊C4—111no—
1233C2×C22⋊C4—111no—
1234C2×C22⋊C4—111no—
1235C2×C22⋊C4—111no—
1236C2×C22⋊C4—111no—
1237C2×C22⋊C4—111no—
1238C2×C22⋊C4—111no—
1239C2×C22⋊C4—111no—
1240C2×C22⋊C4—111no—
1241C2×C22⋊C4—111no—
1242C2×C22⋊C4—111no—
1243C2×C22⋊C4—111no—
1244C2×C22⋊C4—224no—
1245C2×C22⋊C4—224no—
1246C2×C22⋊C4—224no—
1247C2×C22⋊C4C22×D1111yescharacteristic
1248C2×C22⋊C4C22×D1111yescharacteristic
1249C2×C22⋊C4C22×D1111yescharacteristic
1250C2×C22⋊C4C22×D1111yescharacteristic
1251C2×C22⋊C4C22×D1111yescharacteristic
1252C2×C22⋊C4C22×D1111yescharacteristic
1253C2×C22⋊C4C22×D1111yescharacteristic
1254C2×C22⋊C4C22×D1111yescharacteristic
1255C2×C22⋊C4C22×D1111yescharacteristic
1256C2×C22⋊C4C22×D1111yescharacteristic
1257C2×C22⋊C4C22×D1111yescharacteristic
1258C2×C22⋊C4C22×D1111yescharacteristic
1259C2×C22⋊C4C22×D1111yescharacteristic
1260C2×C42—111no—
1261C2×C42—111no—
1262C2×C42—111no—
1263C2×C42C22×D1111yescharacteristic
1264#95—111no—
1265#95—111no—
1266#95—111no—
1267#95—111no—
1268#95—111no—
1269#95—111no—
1270#95—111no—
1271#95—111no—
1272#95—111no—
1273#95—111no—
1274#95—111no—
1275#95—111no—
1276#95—111no—
1277#95—111no—
1278#95—111no—
1279#95—111no—
1280#95—111no—
1281#95—111no—
1282#95C22×D1111yescharacteristic
1283#95C22×D1111yescharacteristic
1284#95C22×D1111yescharacteristic
1285#95C22×D1111yescharacteristic
1286#95C22×D1111yescharacteristic
1287#95C22×D1111yescharacteristic
1288C2×C11—42no—
1289C2×C11—42no—
1290C2×C11—81no—
1291C2×C11C2×#53611yescharacteristic
1292C2×C11#348411yescharacteristic
1293C2×C11#348411yescharacteristic
1294C2×C11#353611yescharacteristic
1295C2×C11#353611yescharacteristic
1296C2×C11#353611yescharacteristic
1297C2×C11#353611yescharacteristic
1298D11—24no—
1299D11—42no—
1300D11—42no—
1301D11—81no—
1302C24—111no—
1303C24—111no—
1304C24—111no—
1305C24—114no—
1306C24—111no—
1307C24—222no—
1308C24—222no—
1309C24—222no—
1310C24—222no—
1311C24—222no—
1312C24—222no—
1313C24—222no—
1314C24—222no—
1315C24—222no—
1316C24—222no—
1317C24—441no—
1318C24—441no—
1319C24—441no—
1320C24—441no—
1321C24—441no—
1322C24—441no—
1323C24—441no—
1324C24—441no—
1325C24—441no—
1326C24—441no—
1327C24C23×D1111yescharacteristic
1328C24C23×D1111yescharacteristic
1329C24C23×D1111yescharacteristic
1330C2×Q8—22no—
1331C2×Q8—41no—
1332C2×Q8—41no—
1333C2×Q8—222no—
1334C2×Q8—222no—
1335C2×Q8—222no—
1336C2×Q8—441no—
1337C2×Q8—441no—
1338C2×Q8—441no—
1339C2×Q8—441no—
1340C2×Q8—441no—
1341C2×Q8—441no—
1342C2×D4—22no—
1343C2×D4—22no—
1344C2×D4—22no—
1345C2×D4—22no—
1346C2×D4—22no—
1347C2×D4—22no—
1348C2×D4—41no—
1349C2×D4—41no—
1350C2×D4—41no—
1351C2×D4—222no—
1352C2×D4—222no—
1353C2×D4—222no—
1354C2×D4—222no—
1355C2×D4—222no—
1356C2×D4—222no—
1357C2×D4—222no—
1358C2×D4—222no—
1359C2×D4—222no—
1360C2×D4—222no—
1361C2×D4—222no—
1362C2×D4—222no—
1363C2×D4—222no—
1364C2×D4—222no—
1365C2×D4—222no—
1366C2×D4—222no—
1367C2×D4—222no—
1368C2×D4—222no—
1369C2×D4—441no—
1370C2×D4—441no—
1371C2×D4—441no—
1372C2×D4—4416no—
1373C2×D4—441no—
1374C2×D4—441no—
1375C2×D4—441no—
1376C2×D4—441no—
1377C2×D4—441no—
1378C2×D4—441no—
1379C2×D4—4416no—
1380C2×D4—4416no—
1381C22×C4—22no—
1382C22×C4—22no—
1383C22×C4—22no—
1384C22×C4—41no—
1385C22×C4—41no—
1386C22×C4—41no—
1387C22×C4—111no—
1388C22×C4—111no—
1389C22×C4—111no—
1390C22×C4—114no—
1391C22×C4—114no—
1392C22×C4—111no—
1393C22×C4—111no—
1394C22×C4—111no—
1395C22×C4—111no—
1396C22×C4—111no—
1397C22×C4—111no—
1398C22×C4—111no—
1399C22×C4—111no—
1400C22×C4—111no—
1401C22×C4—222no—
1402C22×C4—222no—
1403C22×C4—222no—
1404C22×C4—222no—
1405C22×C4—222no—
1406C22×C4—222no—
1407C22×C4—222no—
1408C22×C4—222no—
1409C22×C4—222no—
1410C22×C4—222no—
1411C22×C4—222no—
1412C22×C4—222no—
1413C22×C4—222no—
1414C22×C4—441no—
1415C22×C4—441no—
1416C22×C4—441no—
1417C22×C4—441no—
1418C22×C4—441no—
1419C22×C4—441no—
1420C22×C4—441no—
1421C22×C4—441no—
1422C22×C4—441no—
1423C22×C4—441no—
1424C22×C4—441no—
1425C22×C4—441no—
1426C22×C4—4416no—
1427C22×C4—441no—
1428C22×C4—441no—
1429C22×C4—441no—
1430C22×C4C23×D1111yescharacteristic
1431C22×C4C23×D1111yescharacteristic
1432C22×C4C23×D1111yescharacteristic
1433C22×C4C23×D1111yescharacteristic
1434C22×C4C23×D1111yescharacteristic
1435C22×C4C23×D1111yescharacteristic
1436C22×C4C23×D1111yescharacteristic
1437C22×C4C23×D1111yescharacteristic
1438C22×C4C23×D1111yescharacteristic
1439C22×C4C23×D1111yescharacteristic
1440C22×C4C23×D1111yescharacteristic
1441C22×C4C23×D1111yescharacteristic
1442C4⋊C4—22no—
1443C4⋊C4—22no—
1444C4⋊C4—22no—
1445C4⋊C4—22no—
1446C4⋊C4—22no—
1447C4⋊C4—41no—
1448C4⋊C4—41no—
1449C4⋊C4—41no—
1450C4⋊C4—41no—
1451C4⋊C4—222no—
1452C4⋊C4—222no—
1453C4⋊C4—222no—
1454C4⋊C4—222no—
1455C4⋊C4—222no—
1456C4⋊C4—222no—
1457C4⋊C4—222no—
1458C4⋊C4—222no—
1459C4⋊C4—222no—
1460C4⋊C4—222no—
1461C4⋊C4—222no—
1462C4⋊C4—222no—
1463C4⋊C4—222no—
1464C4⋊C4—222no—
1465C4⋊C4—222no—
1466C4⋊C4—222no—
1467C4⋊C4—222no—
1468C4⋊C4—222no—
1469C4⋊C4—222no—
1470C4⋊C4—441no—
1471C4⋊C4—441no—
1472C4⋊C4—441no—
1473C4⋊C4—441no—
1474C4⋊C4—441no—
1475C4⋊C4—441no—
1476C4⋊C4—441no—
1477C4⋊C4—441no—
1478C22⋊C4—22no—
1479C22⋊C4—22no—
1480C22⋊C4—22no—
1481C22⋊C4—22no—
1482C22⋊C4—22no—
1483C22⋊C4—41no—
1484C22⋊C4—41no—
1485C22⋊C4—41no—
1486C22⋊C4—41no—
1487C22⋊C4—41no—
1488C22⋊C4—41no—
1489C22⋊C4—41no—
1490C22⋊C4—114no—
1491C22⋊C4—114no—
1492C22⋊C4—114no—
1493C22⋊C4—222no—
1494C22⋊C4—222no—
1495C22⋊C4—222no—
1496C22⋊C4—222no—
1497C22⋊C4—222no—
1498C22⋊C4—222no—
1499C22⋊C4—222no—
1500C22⋊C4—222no—
1501C22⋊C4—222no—
1502C22⋊C4—222no—
1503C22⋊C4—222no—
1504C22⋊C4—222no—
1505C22⋊C4—222no—
1506C22⋊C4—222no—
1507C22⋊C4—222no—
1508C22⋊C4—222no—
1509C22⋊C4—222no—
1510C22⋊C4—222no—
1511C22⋊C4—222no—
1512C22⋊C4—441no—
1513C22⋊C4—441no—
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—441no—
1527C22⋊C4—441no—
1528C22⋊C4—441no—
1529C22⋊C4—441no—
1530C22⋊C4—441no—
1531C22⋊C4—441no—
1532C22⋊C4—441no—
1533C22⋊C4—441no—
1534C22⋊C4—441no—
1535C22⋊C4—441no—
1536C22⋊C4—441no—
1537C22⋊C4D4×D1114yes—
1538C42—41no—
1539C42—441no—
1540C42—441no—
1541C42—441no—
1542C11#3671811yescharacteristic, complemented, Sylow
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—112no—
1563C23—112no—
1564C23—112no—
1565C23—112no—
1566C23—112no—
1567C23—228no—
1568C23—228no—
1569C23—221no—
1570C23—221no—
1571C23—221no—
1572C23—221no—
1573C23—221no—
1574C23—221no—
1575C23—221no—
1576C23—221no—
1577C23—221no—
1578C23—221no—
1579C23—221no—
1580C23—221no—
1581C23—221no—
1582C23—221no—
1583C23—221no—
1584C23—221no—
1585C23—221no—
1586C23—221no—
1587C23—221no—
1588C23—221no—
1589C23—221no—
1590C23—221no—
1591C23—221no—
1592C23—444no—
1593C23—444no—
1594C23—444no—
1595C23—444no—
1596C23—444no—
1597C23—444no—
1598C23—444no—
1599C23—444no—
1600C23—444no—
1601C23—444no—
1602C23—444no—
1603C23—882no—
1604C23—882no—
1605C23—882no—
1606C23—882no—
1607C23—882no—
1608C23—882no—
1609C23—882no—
1610C23—882no—
1611C23C2×D4×D1112yes—
1612C23#6703712yes—
1613C23C24×D1111yescharacteristic
1614Q8—82no—
1615Q8—882no—
1616Q8—882no—
1617Q8—882no—
1618D4—44no—
1619D4—44no—
1620D4—44no—
1621D4—444no—
1622D4—444no—
1623D4—444no—
1624D4—444no—
1625D4—444no—
1626D4—444no—
1627D4—444no—
1628D4—444no—
1629D4—444no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—44no—
1664C2×C4—82no—
1665C2×C4—112no—
1666C2×C4—112no—
1667C2×C4—112no—
1668C2×C4—228no—
1669C2×C4—221no—
1670C2×C4—221no—
1671C2×C4—221no—
1672C2×C4—221no—
1673C2×C4—221no—
1674C2×C4—221no—
1675C2×C4—221no—
1676C2×C4—221no—
1677C2×C4—221no—
1678C2×C4—221no—
1679C2×C4—221no—
1680C2×C4—221no—
1681C2×C4—221no—
1682C2×C4—221no—
1683C2×C4—221no—
1684C2×C4—221no—
1685C2×C4—221no—
1686C2×C4—221no—
1687C2×C4—221no—
1688C2×C4—221no—
1689C2×C4—221no—
1690C2×C4—221no—
1691C2×C4—221no—
1692C2×C4—221no—
1693C2×C4—221no—
1694C2×C4—221no—
1695C2×C4—221no—
1696C2×C4—221no—
1697C2×C4—221no—
1698C2×C4—221no—
1699C2×C4—221no—
1700C2×C4—221no—
1701C2×C4—221no—
1702C2×C4—444no—
1703C2×C4—444no—
1704C2×C4—444no—
1705C2×C4—444no—
1706C2×C4—444no—
1707C2×C4—444no—
1708C2×C4—882no—
1709C2×C4—882no—
1710C2×C4—882no—
1711C2×C4C2×D4×D1112yes—
1712C2×C4C2×D4×D1112yes—
1713C2×C4#6704212yes—
1714C22—22no—
1715C22—22no—
1716C22—22no—
1717C22—22no—
1718C22—22no—
1719C22—22no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—114no—
1736C22—222no—
1737C22—222no—
1738C22—222no—
1739C22—222no—
1740C22—222no—
1741C22—222no—
1742C22—222no—
1743C22—222no—
1744C22—222no—
1745C22—222no—
1746C22—222no—
1747C22—222no—
1748C22—4416no—
1749C22—441no—
1750C22—441no—
1751C22—441no—
1752C22—441no—
1753C22—441no—
1754C22—441no—
1755C22—441no—
1756C22—441no—
1757C22—441no—
1758C22—441no—
1759C22—441no—
1760C22—441no—
1761C22—441no—
1762C22—441no—
1763C22—441no—
1764C22—888no—
1765C22—888no—
1766C22C22×D4×D1111yescharacteristic
1767C22C2×#6703711yescharacteristic
1768C22C2×#6704211yescharacteristic
1769C22D11×H(5,𝔽2)11yescharacteristic
1770C22D11×H(5,𝔽2)11yescharacteristic
1771C22D11×2−1+411yescharacteristic
1772C22D11×2−1+411yescharacteristic
1773C4—22no—
1774C4—22no—
1775C4—22no—
1776C4—41no—
1777C4—41no—
1778C4—41no—
1779C4—41no—
1780C4—41no—
1781C4—41no—
1782C4—41no—
1783C4—41no—
1784C4—41no—
1785C4—222no—
1786C4—222no—
1787C4—222no—
1788C4—441no—
1789C4—441no—
1790C4—441no—
1791C4—441no—
1792C4—441no—
1793C4—441no—
1794C4—441no—
1795C4—441no—
1796C4—441no—
1797C2—42no—
1798C2—42no—
1799C2—81no—
1800C2—224no—
1801C2—442no—
1802C2—442no—
1803C2—881no—
1804C2D11×#53611yescharacteristic
1805C2#1308224411yescharacteristic
1806C2#1308224611yescharacteristic
1807C2#1308283311yescharacteristic
1808C2#1308283511yescharacteristic
1809C2#1308283911yescharacteristic
1810C2#1308284111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2672C2
prime radicalC2×D11×#121C2
hypercenter#2672D11
hypocenterC11#36718
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2672

Complements

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

NH ≅ G/Ntype
1. C2×#10623165C2semidirect
3. #13076904C2semidirect
4. #13076902C2semidirect
5. #13074974C2semidirect
6. #13074973C2semidirect
7. #13074970C2semidirect
8. #13074969C2semidirect
9. #13074967C2semidirect
10. #13074966C2semidirect
11. #13074963C2semidirect
12. #13074962C2semidirect
13. #13074872C2semidirect
14. #13074871C2semidirect
15. #13074868C2semidirect
16. #13074867C2semidirect
17. #13074866C2semidirect
18. #13074863C2semidirect
19. #13074862C2semidirect
20. #13074426C2semidirect
21. #13074422C2semidirect
22. #13073994C2semidirect
23. #13073992C2semidirect
24. #13072264C2semidirect
25. #13072262C2semidirect
26. #13071942C2semidirect
27. #13071940C2semidirect
28. #13071938C2semidirect
29. #13071938C2semidirect
30. #13071210C2semidirect
31. C11×#2672C2semidirect
36. C2×C11×#124C22semidirect
37. C2×C11×#123C22semidirect
38. C2×C11×C22⋊Q8C22semidirect
40. C2×#67000C22semidirect
42. C2×#66999C22semidirect
46. C2×#66988C22semidirect
48. C2×#66982C22semidirect
50. C2×#66977C22semidirect
51. C2×#66977C22semidirect
55. C2×#66950C22semidirect
56. C2×#66950C22semidirect
59. C2×#66949C22semidirect
60. C2×#66949C22semidirect
61. C2×#66949C22semidirect
63. C2×#66947C22semidirect
64. C2×#66947C22semidirect
66. C2×#66939C22semidirect
67. C2×#66938C22semidirect
68. C2×#66938C22semidirect
71. C2×#66936C22semidirect
72. C2×#66936C22semidirect
76. C2×#66931C22semidirect
77. C2×#66931C22semidirect
78. C2×#66931C22semidirect
79. C11×#399C22semidirect
80. C11×#396C22semidirect
81. C11×#395C22semidirect
82. C11×#394C22semidirect
83. C11×#394C22semidirect
84. C11×#394C22semidirect
85. C11×#389C22semidirect
86. C11×#388C22semidirect
87. C11×#386C22semidirect
88. C11×#385C22semidirect
89. C11×#380C22semidirect
90. #10622842C22semidirect
91. #10622835C22semidirect
92. #10622835C22semidirect
93. #10622835C22semidirect
94. #10622834C22semidirect
95. #10622833C22semidirect
96. #10622826C22semidirect
97. #10622823C22semidirect
98. #10622607C22semidirect
99. #10622607C22semidirect
100. #10622607C22semidirect
101. #10622607C22semidirect
102. #10622605C22semidirect
103. #10622605C22semidirect
104. #10622604C22semidirect
105. #10622604C22semidirect
106. #10622604C22semidirect
107. #10622603C22semidirect
112. #10622602C22semidirect
114. #10622600C22semidirect
115. #10622597C22semidirect
116. #10622596C22semidirect
117. #10622592C22semidirect
118. #10622586C22semidirect
119. #10622586C22semidirect
120. #10622585C22semidirect
121. #10622585C22semidirect
122. #10622574C22semidirect
123. #10622574C22semidirect
124. #10622574C22semidirect
125. #10622574C22semidirect
126. #10622572C22semidirect
127. #10622572C22semidirect
128. #10622572C22semidirect
129. #10622572C22semidirect
130. #10622572C22semidirect
131. #10622572C22semidirect
132. #10622572C22semidirect
133. #10622572C22semidirect
134. #10622571C22semidirect
135. #10622570C22semidirect
136. #10622570C22semidirect
137. #10622569C22semidirect
138. #10622569C22semidirect
149. #10622564C22semidirect
150. #10622563C22semidirect
151. #10622563C22semidirect
152. #10622562C22semidirect
153. #10622561C22semidirect
154. #10622561C22semidirect
155. #10622561C22semidirect
156. #10622560C22semidirect
157. #10622560C22semidirect
158. #10622558C22semidirect
159. #10622557C22semidirect
160. #10622555C22semidirect
161. #10622553C22semidirect
162. #10622552C22semidirect
164. #10622541C22semidirect
165. #10622286C22semidirect
166. #10622286C22semidirect
167. #10622285C22semidirect
168. #10622285C22semidirect
169. #10622285C22semidirect
170. #10622283C22semidirect
171. #10622282C22semidirect
176. #10622281C22semidirect
177. #10622281C22semidirect
178. #10622281C22semidirect
180. #10622280C22semidirect
182. #10622278C22semidirect
183. #10622278C22semidirect
184. #10622274C22semidirect
185. #10622270C22semidirect
186. #10622269C22semidirect
187. #10622260C22semidirect
188. #10622260C22semidirect
657. #2672D11semidirect
848. C2×#124C2×D11semidirect
856. C2×#123C2×D11semidirect
872. C2×C22⋊Q8C2×D11semidirect
890. #399C2×D11semidirect
902. #396C2×D11semidirect
906. #395C2×D11semidirect
928. #394C2×D11semidirect
929. #394C2×D11semidirect
930. #394C2×D11semidirect
946. #389C2×D11semidirect
954. #388C2×D11semidirect
962. #386C2×D11semidirect
978. #385C2×D11semidirect
984. #380C2×D11semidirect
1542. C11#36718semidirect

Maximal subgroups

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

subgroupindex
C2×#106231652
C2×D11×#1212
#130769042
#130769022
#130749742
#130749732
#130749702
#130749692
#130749672
#130749662
#130749632
#130749622
#130748722
#130748712
#130748682
#130748672
#130748662
#130748632
#130748622
#130744262
#130744222
#130739942
#130739922
#130722642
#130722622
#130719422
#130719402
#130719382
#130712102
C11×#26722
#3671811