Finite Group Databasebeta

← #14960555

Subgroups — #14960555

Order 2816.

3038 conjugacy classes of subgroups.

The subgroup lattice has 1952 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623144C211yesmaximal, characteristic, complemented
2C2×D11×#121C211yesmaximal, characteristic, complemented
3#13076902C211yesmaximal, characteristic, complemented
4#13076895C211yesmaximal, characteristic, complemented
5#13075103C211yesmaximal, characteristic, complemented
6#13075101C211yesmaximal, characteristic, complemented
7#13075095C211yesmaximal, characteristic, complemented
8#13075093C211yesmaximal, characteristic, complemented
9#13074923C211yesmaximal, characteristic, complemented
10#13074922C211yesmaximal, characteristic, complemented
11#13074911C211yesmaximal, characteristic, complemented
12#13074910C211yesmaximal, characteristic, complemented
13#13074908C211yesmaximal, characteristic, complemented
14#13074906C211yesmaximal, characteristic, complemented
15#13074906C211yesmaximal, characteristic, complemented
16#13074856C211yesmaximal, characteristic, complemented
17#13074854C211yesmaximal, characteristic, complemented
18#13074848C211yesmaximal, characteristic, complemented
19#13074846C211yesmaximal, characteristic, complemented
20#13074426C211yesmaximal, characteristic, complemented
21#13074349C211yesmaximal, characteristic, complemented
22#13073961C211yesmaximal, characteristic, complemented
23#13073958C211yesmaximal, characteristic, complemented
24#13071987C211yesmaximal, characteristic, complemented
25#13071987C211yesmaximal, characteristic, complemented
26#13071983C211yesmaximal, characteristic, complemented
27#13071983C211yesmaximal, characteristic, complemented
28#13071968C211yesmaximal, characteristic, complemented
29#13071965C211yesmaximal, characteristic, complemented
30#13071227C211yesmaximal, characteristic, complemented
31C11×#2675C211yesmaximal, characteristic, complemented
32C22×D4×D11C2211yescharacteristic
33C22×D4×D11C2211yescharacteristic
34C22×D4×D11C2211yescharacteristic
35C23×C4×D11C2211yescharacteristic
36C2×C11×#121C2211yescharacteristic
37C2×C11×#121C2211yescharacteristic, complemented
38C2×C11×#121C2211yescharacteristic, complemented
39C2×C11×#121C2211yescharacteristic, complemented
40C2×C11×#121C2211yescharacteristic, complemented
41C2×C11×#121C2211yescharacteristic, complemented
42C2×#66992C2211yescharacteristic
43C2×#66992C2211yescharacteristic
44C2×#66992C2211yescharacteristic, complemented
45C2×#66992C2211yescharacteristic, complemented
46C2×#66992C2211yescharacteristic, complemented
47C2×#66992C2211yescharacteristic, complemented
48C2×#66992C2211yescharacteristic, complemented
49C2×#66991C2211yescharacteristic
50C2×#66991C2211yescharacteristic
51C2×#66991C2211yescharacteristic, complemented
52C2×#66991C2211yescharacteristic, complemented
53C2×#66991C2211yescharacteristic, complemented
54C2×#66990C2211yescharacteristic
55C2×#66990C2211yescharacteristic
56C2×#66990C2211yescharacteristic
57C2×#66990C2211yescharacteristic
58C2×#66990C2211yescharacteristic
59C2×#66990C2211yescharacteristic
60C2×#66989C2211yescharacteristic, complemented
61C2×#66988C2211yescharacteristic, complemented
62C2×#66983C2211yescharacteristic
63C2×#66983C2211yescharacteristic, complemented
64C2×#66982C2211yescharacteristic, complemented
65C2×C4×C22⋊D11C2211yescharacteristic
66C22×(C2×D11)⋊C4C2211yescharacteristic
67#10623144—28no—
68D11×#121—28no—
69C2×#66951C2211yescharacteristic, complemented
70C2×#66949C2211yescharacteristic
71C2×#66949C2211yescharacteristic, complemented
72C2×#66948C2211yescharacteristic
73C2×C4⋊C4×D11C2211yescharacteristic
74C2×#66938C2211yescharacteristic, complemented
75C2×#66937C2211yescharacteristic
76C2×#66937C2211yescharacteristic
77C2×#66937C2211yescharacteristic, complemented
78C2×#66937C2211yescharacteristic, complemented
79C2×(C22⋊D11)⋊C4C2211yescharacteristic
80C2×C22⋊C4×D11C2211yescharacteristic
81C2×C22⋊C4×D11C2211yescharacteristic
82C2×C22⋊C4×D11C2211yescharacteristic
83C2×#66932C2211yescharacteristic, complemented
84C2×#66931C2211yescharacteristic, complemented
85C11×#396C2211yescharacteristic, complemented
86C11×#396C2211yescharacteristic, complemented
87C11×#392C2211yescharacteristic, complemented
88C11×#392C2211yescharacteristic, complemented
89C11×#392C2211yescharacteristic, complemented
90C11×#392C2211yescharacteristic, complemented
91C11×#385C2211yescharacteristic, complemented
92C11×#385C2211yescharacteristic, complemented
93C11×#385C2211yescharacteristic, complemented
94#10622836C2211yescharacteristic, complemented
95#10622836C2211yescharacteristic, complemented
96#10622836C2211yescharacteristic, complemented
97#10622836C2211yescharacteristic, complemented
98#10622836C2211yescharacteristic, complemented
99#10622836C2211yescharacteristic, complemented
100#10622836C2211yescharacteristic, complemented
101#10622835C2211yescharacteristic, complemented
102#10622835C2211yescharacteristic, complemented
103#10622835C2211yescharacteristic, complemented
104#10622835C2211yescharacteristic, complemented
105#10622835C2211yescharacteristic, complemented
106#10622834C2211yescharacteristic, complemented
107#10622833C2211yescharacteristic, complemented
108#10622833C2211yescharacteristic, complemented
109#10622833C2211yescharacteristic, complemented
110#10622833C2211yescharacteristic, complemented
111#10622826C2211yescharacteristic, complemented
112#10622826C2211yescharacteristic, complemented
113#10622825C2211yescharacteristic, complemented
114#10622823C2211yescharacteristic, complemented
115#10622823C2211yescharacteristic, complemented
116#10622823C2211yescharacteristic, complemented
117#10622607C2211yescharacteristic, complemented
118#10622607C2211yescharacteristic, complemented
119#10622605C2211yescharacteristic, complemented
120#10622604C2211yescharacteristic, complemented
121#10622604C2211yescharacteristic, complemented
122#10622602C2211yescharacteristic
123#10622602C2211yescharacteristic
124#10622602C2211yescharacteristic, complemented
125#10622602C2211yescharacteristic, complemented
126#10622602C2211yescharacteristic, complemented
127#10622601C2211yescharacteristic, complemented
128#10622600C2211yescharacteristic
129#10622600C2211yescharacteristic
130#10622600C2211yescharacteristic, complemented
131#10622597C2211yescharacteristic, complemented
132#10622596C2211yescharacteristic, complemented
133#10622594C2211yescharacteristic, complemented
134#10622593C2211yescharacteristic, complemented
135#10622591C2211yescharacteristic, complemented
136#10622574C2211yescharacteristic, complemented
137#10622574C2211yescharacteristic, complemented
138#10622573C2211yescharacteristic, complemented
139#10622573C2211yescharacteristic, complemented
140#10622573C2211yescharacteristic, complemented
141#10622572C2211yescharacteristic, complemented
142#10622572C2211yescharacteristic, complemented
143#10622572C2211yescharacteristic, complemented
144#10622572C2211yescharacteristic, complemented
145#10622572C2211yescharacteristic, complemented
146#10622572C2211yescharacteristic, complemented
147#10622570C2211yescharacteristic, complemented
148#10622570C2211yescharacteristic, complemented
149#10622569C2211yescharacteristic
150#10622569C2211yescharacteristic
151#10622569C2211yescharacteristic
152#10622569C2211yescharacteristic
153#10622569C2211yescharacteristic, complemented
154#10622569C2211yescharacteristic, complemented
155#10622569C2211yescharacteristic, complemented
156#10622569C2211yescharacteristic, complemented
157#10622568C2211yescharacteristic
158#10622568C2211yescharacteristic
159#10622568C2211yescharacteristic
160#10622568C2211yescharacteristic
161#10622566C2211yescharacteristic, complemented
162#10622563C2211yescharacteristic, complemented
163#10622563C2211yescharacteristic, complemented
164#10622562C2211yescharacteristic, complemented
165#10622561C2211yescharacteristic, complemented
166#10622561C2211yescharacteristic, complemented
167#10622561C2211yescharacteristic, complemented
168#10622561C2211yescharacteristic, complemented
169#10622560C2211yescharacteristic, complemented
170#10622559C2211yescharacteristic, complemented
171#10622559C2211yescharacteristic, complemented
172#10622555C2211yescharacteristic, complemented
173#10622287C2211yescharacteristic, complemented
174#10622286C2211yescharacteristic, complemented
175#10622285C2211yescharacteristic, complemented
176#10622281C2211yescharacteristic
177#10622281C2211yescharacteristic
178#10622281C2211yescharacteristic, complemented
179#10622281C2211yescharacteristic, complemented
180#10622281C2211yescharacteristic, complemented
181#10622280C2211yescharacteristic
182#10622280C2211yescharacteristic
183#10622280C2211yescharacteristic, complemented
184#10622278C2211yescharacteristic, complemented
185#10622278C2211yescharacteristic, complemented
186#10622270C2211yescharacteristic, complemented
187#10622266C2211yescharacteristic, complemented
188#10622265C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C24×D11C2311yescharacteristic
191C24×D11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C22×D4×C11C2311yescharacteristic
195C22×D4×C11C2311yescharacteristic
196C22×D4×C11C2311yescharacteristic
197C22×D4×C11C2311yescharacteristic
198C22×D4×C11C2311yescharacteristic
199C22×D4×C11C2311yescharacteristic
200C22×D4×C11C2311yescharacteristic
201C22×D4×C11C2311yescharacteristic
202C23×C4×C11C2311yescharacteristic
203C23×C4×C11C2311yescharacteristic
204C23×C4×C11C2311yescharacteristic
205C22×C22⋊D11C2311yescharacteristic
206C22×C22⋊D11C2311yescharacteristic
207C22×C22⋊D11C2311yescharacteristic
208C22×C22⋊D11C2311yescharacteristic
209C22×C22⋊D11C2311yescharacteristic
210C22×C22⋊D11C2311yescharacteristic
211C22×C22⋊D11C2311yescharacteristic
212C22×C22⋊D11C2311yescharacteristic
213C22×C22⋊D11C2311yescharacteristic
214C22×C22⋊D11C2311yescharacteristic
215C22×C22⋊D11C2311yescharacteristic
216C22×C22⋊D11C2311yescharacteristic
217C22×C22⋊D11C2311yescharacteristic
218C22×C22⋊D11C2311yescharacteristic
219C23×Dic11C2311yescharacteristic
220C23×Dic11C2311yescharacteristic
221C23×Dic11C2311yescharacteristic
222C2×D4×D11—24no—
223C2×D4×D11—24no—
224C2×D4×D11—24no—
225C2×D4×D11—42no—
226C2×D4×D11—42no—
227C2×D4×D11—42no—
228C2×D4×D11—42no—
229C2×D4×D11—42no—
230C2×D4×D11—42no—
231C22×D44C2311yescharacteristic
232C22×D44C2311yescharacteristic
233C22×D44C2311yescharacteristic
234C22×C4×D11—24no—
235C22×C4×D11—42no—
236C22×C4×D11—42no—
237C22×C4×D11C2311yescharacteristic
238C22×C4×D11C2311yescharacteristic
239C22×C4×D11C2311yescharacteristic
240C22×C4×D11C2311yescharacteristic
241C22×C4×D11C2311yescharacteristic
242C22×C4×D11C2311yescharacteristic
243C22×C4×D11C2311yescharacteristic
244C22×C4×D11C2311yescharacteristic
245C22×Dic22C2311yescharacteristic
246C11×#121—24no—
247C11×#121—24no—
248C11×#121—42no—
249C11×#121—42no—
250C11×#121—42no—
251C11×#121—42no—
252C2×C11×C4⋊C4C2311yescharacteristic
253C2×C11×C4⋊C4C2311yescharacteristic
254C2×C11×C4⋊C4C2311yescharacteristic
255C2×C11×C4⋊C4C2311yescharacteristic
256C2×C11×C4⋊C4C2311yescharacteristic
257C2×C11×C4⋊C4C2311yescharacteristic
258C2×C11×C22⋊C4C2311yescharacteristic
259C2×C11×C22⋊C4C2311yescharacteristic
260C2×C11×C22⋊C4C2311yescharacteristic
261C2×C11×C22⋊C4C2311yescharacteristic
262C2×C11×C22⋊C4C2311yescharacteristic
263C2×C11×C22⋊C4C2311yescharacteristic
264C2×C11×C22⋊C4C2311yescharacteristic
265C2×C11×C22⋊C4C2311yescharacteristic
266C2×C11×C22⋊C4C2311yescharacteristic
267C2×C11×C22⋊C4C2311yescharacteristic
268C2×C11×C22⋊C4C2311yescharacteristic
269C2×C11×C22⋊C4C2311yescharacteristic
270C2×C22⋊Dic11C2311yescharacteristic
271C2×C22⋊Dic11C2311yescharacteristic
272C2×C22⋊Dic11C2311yescharacteristic
273C2×C22⋊Dic11C2311yescharacteristic
274C2×C22⋊Dic11C2311yescharacteristic
275C2×C22⋊Dic11C2311yescharacteristic
276C2×C22⋊Dic11C2311yescharacteristic
277C2×C22⋊Dic11C2311yescharacteristic
278C2×C22⋊Dic11C2311yescharacteristic
279C2×C22⋊Dic11C2311yescharacteristic
280C2×C22⋊Dic11C2311yescharacteristic
281C2×C22⋊Dic11C2311yescharacteristic
282C2×C22⋊Dic11C2311yescharacteristic
283C2×C22⋊Dic11C2311yescharacteristic
284C2×C22⋊Dic11C2311yescharacteristic
285C2×C22⋊Dic11C2311yescharacteristic
286C2×C22⋊Dic11C2311yescharacteristic
287C2×C22⋊Dic11C2311yescharacteristic
288C2×C22⋊Dic11C2311yescharacteristic
289C2×C22⋊Dic11C2311yescharacteristic
290#66992—24no—
291#66992—24no—
292#66992—24no—
293#66992—42no—
294#66992—42no—
295#66992—42no—
296#66992—42no—
297#66991—24no—
298#66991—24no—
299#66991—42no—
300#66991—42no—
301#66991—42no—
302#66990—24no—
303#66990—24no—
304#66990—42no—
305#66990—42no—
306#66990—42no—
307#66990—42no—
308#66989—24no—
309#66988—24no—
310#66983—24no—
311#66983—42no—
312#66982—24no—
313C4×C22⋊D11—24no—
314C2×(C2×D11)⋊C4—42no—
315C2×(C2×D11)⋊C4C2311yescharacteristic
316C2×(C2×D11)⋊C4C2311yescharacteristic
317C2×(C2×D11)⋊C4C2311yescharacteristic
318C2×(C2×D11)⋊C4C2311yescharacteristic
319C2×(C2×D11)⋊C4C2311yescharacteristic
320C2×(C2×D11)⋊C4C2311yescharacteristic
321C2×(C2×D11)⋊C4C2311yescharacteristic
322C2×(C2×D11)⋊C4C2311yescharacteristic
323C2×(C2×D11)⋊C4C2311yescharacteristic
324C2×(C2×D11)⋊C4C2311yescharacteristic
325C2×(C2×D11)⋊C4C2311yescharacteristic
326C2×(C2×D11)⋊C4C2311yescharacteristic
327C2×(C2×D11)⋊C4C2311yescharacteristic
328C2×(C2×D11)⋊C4C2311yescharacteristic
329C2×(C2×D11)⋊C4C2311yescharacteristic
330C2×(C2×D11)⋊C4C2311yescharacteristic
331C2×(C2×D11)⋊C4C2311yescharacteristic
332C2×(C2×D11)⋊C4C2311yescharacteristic
333C2×(C2×D11)⋊C4C2311yescharacteristic
334C2×(C2×D11)⋊C4C2311yescharacteristic
335C2×(C2×D11)⋊C4C2311yescharacteristic
336C2×(C2×D11)⋊C4C2311yescharacteristic
337C2×(C2×D11)⋊C4C2311yescharacteristic
338C2×(C2×D11)⋊C4C2311yescharacteristic
339C2×(C2×D11)⋊C4C2311yescharacteristic
340C2×(C2×D11)⋊C4C2311yescharacteristic
341C2×C4⋊Dic11C2311yescharacteristic
342C2×C4⋊Dic11C2311yescharacteristic
343C2×C4⋊Dic11C2311yescharacteristic
344C2×C4⋊Dic11C2311yescharacteristic
345C2×C4⋊Dic11C2311yescharacteristic
346C2×C4⋊Dic11C2311yescharacteristic
347C2×Dic11⋊C4C2311yescharacteristic
348C2×Dic11⋊C4C2311yescharacteristic
349C2×Dic11⋊C4C2311yescharacteristic
350C2×Dic11⋊C4C2311yescharacteristic
351C2×Dic11⋊C4C2311yescharacteristic
352C2×Dic11⋊C4C2311yescharacteristic
353C2×Dic11⋊C4C2311yescharacteristic
354C2×Dic11⋊C4C2311yescharacteristic
355C2×Dic11⋊C4C2311yescharacteristic
356C2×Dic11⋊C4C2311yescharacteristic
357C2×Dic11⋊C4C2311yescharacteristic
358C2×Dic11⋊C4C2311yescharacteristic
359C2×Dic11⋊C4C2311yescharacteristic
360C2×Dic11⋊C4C2311yescharacteristic
361C2×C4×Dic11C2311yescharacteristic
362C2×C4×Dic11C2311yescharacteristic
363#66951—24no—
364#66949—24no—
365#66949—42no—
366#66948—24no—
367C4⋊C4×D11—24no—
368#66938—24no—
369#66937—24no—
370#66937—24no—
371#66937—42no—
372#66937—42no—
373(C22⋊D11)⋊C4—24no—
374C22⋊C4×D11—24no—
375C22⋊C4×D11—42no—
376C22⋊C4×D11D418yescomplemented
377#66932—24no—
378#66931—42no—
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
397C11⋊#95C2311yescharacteristic
398C11⋊#95C2311yescharacteristic
399C11⋊#95C2311yescharacteristic
400C11⋊#95C2311yescharacteristic
401C11⋊#95C2311yescharacteristic
402C11⋊#95C2311yescharacteristic
403#36706—111nomaximal, Sylow
404C24×C11C2411yescharacteristic
405C24×C11C2411yescharacteristic
406C24×C11C2411yescharacteristic
407C24×C11C2411yescharacteristic
408C24×C11C2411yescharacteristic
409C23×D11—22no—
410C23×D11—22no—
411C23×D11—22no—
412C23×D11—22no—
413C23×D11—22no—
414C23×D11—22no—
415C23×D11—22no—
416C23×D11—22no—
417C23×D11—22no—
418C23×D11—22no—
419C23×D11—41no—
420C23×D11—41no—
421C23×D11—41no—
422C23×D11—41no—
423C23×D11—41no—
424C23×D11—41no—
425C23×D11—41no—
426C23×D11—41no—
427C23×D11—41no—
428C23×D11—41no—
429C23×D11C2×D414yes—
430C23×D11C2411yescharacteristic
431C23×D11C2411yescharacteristic
432C23×D11C2411yescharacteristic
433C23×D11C2411yescharacteristic
434C2×D4×C11—22no—
435C2×D4×C11—22no—
436C2×D4×C11—22no—
437C2×D4×C11—22no—
438C2×D4×C11—22no—
439C2×D4×C11—22no—
440C2×D4×C11—22no—
441C2×D4×C11—22no—
442C2×D4×C11—22no—
443C2×D4×C11—22no—
444C2×D4×C11—22no—
445C2×D4×C11—41no—
446C2×D4×C11—41no—
447C2×D4×C11—41no—
448C2×D4×C11—41no—
449C2×D4×C11—41no—
450C2×D4×C11—41no—
451C2×D4×C11—41no—
452C2×D4×C11—41no—
453C2×D4×C11—41no—
454C2×D4×C11—41no—
455C2×D4×C11—41no—
456C2×D4×C11—41no—
457C2×D4×C11—41no—
458C2×D4×C11—41no—
459C2×D4×C11—41no—
460C2×D4×C11—41no—
461C2×D4×C11—41no—
462C2×D4×C11—41no—
463C2×D4×C11—41no—
464C22×C4×C11—22no—
465C22×C4×C11—22no—
466C22×C4×C11—22no—
467C22×C4×C11—41no—
468C22×C4×C11—41no—
469C22×C4×C11—41no—
470C22×C4×C11—41no—
471C22×C4×C11—41no—
472C22×C4×C11—41no—
473C22×C4×C11C2411yescharacteristic
474C22×C4×C11C2411yescharacteristic
475C22×C4×C11C2411yescharacteristic
476C22×C4×C11C2411yescharacteristic
477C22×C4×C11C2411yescharacteristic
478C22×C4×C11C2411yescharacteristic
479C22×C4×C11C2411yescharacteristic
480C22×C4×C11C2411yescharacteristic
481C22×C4×C11C2411yescharacteristic
482C22×C4×C11C2411yescharacteristic
483C2×C22⋊D11—22no—
484C2×C22⋊D11—22no—
485C2×C22⋊D11—22no—
486C2×C22⋊D11—22no—
487C2×C22⋊D11—22no—
488C2×C22⋊D11—22no—
489C2×C22⋊D11—22no—
490C2×C22⋊D11—22no—
491C2×C22⋊D11—22no—
492C2×C22⋊D11—22no—
493C2×C22⋊D11—22no—
494C2×C22⋊D11—22no—
495C2×C22⋊D11—22no—
496C2×C22⋊D11—22no—
497C2×C22⋊D11—22no—
498C2×C22⋊D11—22no—
499C2×C22⋊D11—22no—
500C2×C22⋊D11—22no—
501C2×C22⋊D11—22no—
502C2×C22⋊D11—22no—
503C2×C22⋊D11—22no—
504C2×C22⋊D11—22no—
505C2×C22⋊D11—41no—
506C2×C22⋊D11—41no—
507C2×C22⋊D11—41no—
508C2×C22⋊D11—41no—
509C2×C22⋊D11—41no—
510C2×C22⋊D11—41no—
511C2×C22⋊D11—41no—
512C2×C22⋊D11—41no—
513C2×C22⋊D11—41no—
514C2×C22⋊D11—41no—
515C2×C22⋊D11—41no—
516C2×C22⋊D11—41no—
517C2×C22⋊D11—41no—
518C2×C22⋊D11—41no—
519C2×C22⋊D11—41no—
520C2×C22⋊D11—41no—
521C2×C22⋊D11—41no—
522C2×C22⋊D11—41no—
523C2×C22⋊D11—41no—
524C2×C22⋊D11—41no—
525C22×Dic11—22no—
526C22×Dic11—22no—
527C22×Dic11—22no—
528C22×Dic11—41no—
529C22×Dic11—41no—
530C22×Dic11—41no—
531C22×Dic11—41no—
532C22×Dic11—41no—
533C22×Dic11—41no—
534C22×Dic11C2411yescharacteristic
535C22×Dic11C2411yescharacteristic
536C22×Dic11C2411yescharacteristic
537C22×Dic11C2411yescharacteristic
538C22×Dic11C2411yescharacteristic
539C22×Dic11C2411yescharacteristic
540C22×Dic11C2411yescharacteristic
541C22×Dic11C2411yescharacteristic
542C22×Dic11C2411yescharacteristic
543C22×Dic11C2411yescharacteristic
544C22×Dic11C2411yescharacteristic
545C22×Dic11C2411yescharacteristic
546D4×D11—416no—
547D4×D11—416no—
548D4×D11—416no—
549C2×D44—22no—
550C2×D44—22no—
551C2×D44—22no—
552C2×D44—22no—
553C2×D44—22no—
554C2×D44—22no—
555C2×D44—41no—
556C2×D44—41no—
557C2×D44—41no—
558C2×C4×D11—22no—
559C2×C4×D11—22no—
560C2×C4×D11—22no—
561C2×C4×D11—22no—
562C2×C4×D11—22no—
563C2×C4×D11—22no—
564C2×C4×D11—22no—
565C2×C4×D11—22no—
566C2×C4×D11—41no—
567C2×C4×D11—41no—
568C2×C4×D11—41no—
569C2×C4×D11—41no—
570C2×C4×D11—41no—
571C2×C4×D11—41no—
572C2×C4×D11—41no—
573C2×C4×D11—41no—
574C2×C4×D11—41no—
575C2×C4×D11—41no—
576C2×C4×D11—41no—
577C2×C4×D11—41no—
578C2×C4×D11—41no—
579C2×C4×D11—41no—
580C2×C4×D11—416no—
581C2×C4×D11C2×D414yes—
582C2×C4×D11C2×D414yes—
583C2×Dic22—22no—
584C2×Dic22—41no—
585C2×Dic22—41no—
586C11×C4⋊C4—22no—
587C11×C4⋊C4—22no—
588C11×C4⋊C4—22no—
589C11×C4⋊C4—41no—
590C11×C4⋊C4—41no—
591C11×C4⋊C4—41no—
592C11×C22⋊C4—22no—
593C11×C22⋊C4—22no—
594C11×C22⋊C4—22no—
595C11×C22⋊C4—22no—
596C11×C22⋊C4—22no—
597C11×C22⋊C4—41no—
598C11×C22⋊C4—41no—
599C11×C22⋊C4—41no—
600C11×C22⋊C4—41no—
601C11×C22⋊C4—41no—
602C11×C22⋊C4—41no—
603C11×C22⋊C4C2×D414yes—
604C22⋊Dic11—22no—
605C22⋊Dic11—22no—
606C22⋊Dic11—22no—
607C22⋊Dic11—22no—
608C22⋊Dic11—22no—
609C22⋊Dic11—22no—
610C22⋊Dic11—22no—
611C22⋊Dic11—22no—
612C22⋊Dic11—22no—
613C22⋊Dic11—41no—
614C22⋊Dic11—41no—
615C22⋊Dic11—41no—
616C22⋊Dic11—41no—
617C22⋊Dic11—41no—
618C22⋊Dic11—41no—
619C22⋊Dic11—41no—
620C22⋊Dic11—41no—
621C22⋊Dic11—41no—
622C22⋊Dic11—41no—
623C22⋊Dic11C2×D414yes—
624(C2×D11)⋊C4—22no—
625(C2×D11)⋊C4—22no—
626(C2×D11)⋊C4—22no—
627(C2×D11)⋊C4—22no—
628(C2×D11)⋊C4—22no—
629(C2×D11)⋊C4—22no—
630(C2×D11)⋊C4—22no—
631(C2×D11)⋊C4—22no—
632(C2×D11)⋊C4—22no—
633(C2×D11)⋊C4—22no—
634(C2×D11)⋊C4—22no—
635(C2×D11)⋊C4—22no—
636(C2×D11)⋊C4—41no—
637(C2×D11)⋊C4—41no—
638(C2×D11)⋊C4—41no—
639(C2×D11)⋊C4—41no—
640(C2×D11)⋊C4—41no—
641(C2×D11)⋊C4—41no—
642(C2×D11)⋊C4—41no—
643(C2×D11)⋊C4—41no—
644(C2×D11)⋊C4—41no—
645(C2×D11)⋊C4—41no—
646(C2×D11)⋊C4—41no—
647(C2×D11)⋊C4—41no—
648(C2×D11)⋊C4C2×D414yes—
649(C2×D11)⋊C4C2×D414yes—
650C4⋊Dic11—22no—
651C4⋊Dic11—22no—
652C4⋊Dic11—22no—
653C4⋊Dic11—41no—
654C4⋊Dic11—41no—
655C4⋊Dic11—41no—
656Dic11⋊C4—22no—
657Dic11⋊C4—22no—
658Dic11⋊C4—22no—
659Dic11⋊C4—22no—
660Dic11⋊C4—22no—
661Dic11⋊C4—22no—
662Dic11⋊C4—22no—
663Dic11⋊C4—22no—
664Dic11⋊C4—41no—
665Dic11⋊C4—41no—
666Dic11⋊C4—41no—
667Dic11⋊C4—41no—
668Dic11⋊C4—41no—
669Dic11⋊C4—41no—
670C4×Dic11—22no—
671C4×Dic11—22no—
672C2×#538—111no—
673C22×#121—111no—
674#2848—111no—
675#2847—111no—
676#2691—111no—
677#2691—111no—
678#2691—111no—
679#2691—111no—
680#2676—111no—
681#2676—111no—
682#2676—111no—
683#2676—111no—
684#2675—111no—
685#2675—111no—
686#2675—111no—
687#2675D1111yescharacteristic, complemented
688#2671—111no—
689#2671—111no—
690#2671—111no—
691#2671—111no—
692#2626—111no—
693#2617—111no—
694#2579—111no—
695#2579—111no—
696#2410—111no—
697#2410—111no—
698#2410—111no—
699#2410—111no—
700#2408—111no—
701#2408—111no—
702#2315—111no—
703C23×C11—21no—
704C23×C11—21no—
705C23×C11—21no—
706C23×C11—21no—
707C23×C11—21no—
708C23×C11—21no—
709C23×C11—21no—
710C23×C11—21no—
711C23×C11—21no—
712C23×C11—21no—
713C23×C11—21no—
714C23×C11—21no—
715C23×C11—21no—
716C23×C11—21no—
717C23×C11—21no—
718C23×C11—21no—
719C23×C11—21no—
720C23×C11—21no—
721C23×C11—21no—
722C23×C11—21no—
723C23×C11—21no—
724C23×C11—21no—
725C23×C11—21no—
726C23×C11—21no—
727C23×C11—21no—
728C23×C11—21no—
729C23×C11—21no—
730C23×C11—21no—
731C23×C11—21no—
732C23×C11—21no—
733C23×C11—21no—
734C23×C11—21no—
735C23×C11—21no—
736C23×C11C22×D412yes—
737C23×C11H(5,𝔽2)12yes—
738C23×C11C2511yescharacteristic
739C22×D11—21no—
740C22×D11—21no—
741C22×D11—21no—
742C22×D11—21no—
743C22×D11—28no—
744C22×D11—21no—
745C22×D11—21no—
746C22×D11—21no—
747C22×D11—21no—
748C22×D11—21no—
749C22×D11—21no—
750C22×D11—21no—
751C22×D11—21no—
752C22×D11—21no—
753C22×D11—21no—
754C22×D11—21no—
755C22×D11—21no—
756C22×D11—28no—
757C22×D11—21no—
758C22×D11—21no—
759C22×D11—21no—
760C22×D11—21no—
761C22×D11—21no—
762C22×D11—21no—
763C22×D11—21no—
764C22×D11—44no—
765C22×D11—44no—
766C22×D11—44no—
767C22×D11—44no—
768C22×D11—44no—
769C22×D11—44no—
770C22×D11—44no—
771C22×D11—44no—
772C22×D11—44no—
773C22×D11—44no—
774C22×D11—44no—
775C22×D11—82no—
776C22×D11—82no—
777C22×D11—82no—
778C22×D11—82no—
779C22×D11—82no—
780C22×D11—82no—
781C22×D11—82no—
782C22×D11—82no—
783C22×D11C22×D412yes—
784C22×D11C22×D412yes—
785C22×D11H(5,𝔽2)12yes—
786C22×D11H(5,𝔽2)12yes—
787C22×D112−1+412yes—
788D4×C11—44no—
789D4×C11—44no—
790D4×C11—44no—
791D4×C11—82no—
792D4×C11—82no—
793D4×C11—82no—
794D4×C11—82no—
795D4×C11—82no—
796D4×C11—82no—
797D4×C11—82no—
798C2×C4×C11—21no—
799C2×C4×C11—21no—
800C2×C4×C11—21no—
801C2×C4×C11—21no—
802C2×C4×C11—21no—
803C2×C4×C11—21no—
804C2×C4×C11—21no—
805C2×C4×C11—21no—
806C2×C4×C11—21no—
807C2×C4×C11—21no—
808C2×C4×C11—21no—
809C2×C4×C11—21no—
810C2×C4×C11—21no—
811C2×C4×C11—21no—
812C2×C4×C11—21no—
813C2×C4×C11—21no—
814C2×C4×C11—21no—
815C2×C4×C11—21no—
816C2×C4×C11—21no—
817C2×C4×C11—21no—
818C2×C4×C11—21no—
819C2×C4×C11—21no—
820C2×C4×C11—21no—
821C2×C4×C11—21no—
822C2×C4×C11—21no—
823C2×C4×C11—21no—
824C2×C4×C11—21no—
825C2×C4×C11—44no—
826C2×C4×C11—82no—
827C2×C4×C11—82no—
828C2×C4×C11C22×D412yes—
829C2×C4×C11C22×D412yes—
830C2×C4×C11H(5,𝔽2)12yes—
831C22⋊D11—44no—
832C22⋊D11—44no—
833C22⋊D11—44no—
834C22⋊D11—44no—
835C22⋊D11—44no—
836C22⋊D11—44no—
837C22⋊D11—44no—
838C22⋊D11—44no—
839C22⋊D11—82no—
840C22⋊D11—82no—
841C22⋊D11—82no—
842C22⋊D11—82no—
843C22⋊D11—82no—
844C22⋊D11—82no—
845C2×Dic11—21no—
846C2×Dic11—21no—
847C2×Dic11—21no—
848C2×Dic11—21no—
849C2×Dic11—21no—
850C2×Dic11—21no—
851C2×Dic11—21no—
852C2×Dic11—21no—
853C2×Dic11—21no—
854C2×Dic11—21no—
855C2×Dic11—21no—
856C2×Dic11—21no—
857C2×Dic11—21no—
858C2×Dic11—21no—
859C2×Dic11—21no—
860C2×Dic11—21no—
861C2×Dic11—21no—
862C2×Dic11—21no—
863C2×Dic11—21no—
864C2×Dic11—21no—
865C2×Dic11—21no—
866C2×Dic11—21no—
867C2×Dic11—21no—
868C2×Dic11—21no—
869C2×Dic11—21no—
870C2×Dic11—21no—
871C2×Dic11—21no—
872C2×Dic11—21no—
873C2×Dic11—21no—
874C2×Dic11—21no—
875C2×Dic11—21no—
876C2×Dic11—21no—
877C2×Dic11—21no—
878C2×Dic11—44no—
879C2×Dic11—82no—
880C2×Dic11—82no—
881C2×Dic11C22×D412yes—
882C2×Dic11C22×D412yes—
883C2×Dic11H(5,𝔽2)12yes—
884D44—44no—
885D44—44no—
886D44—44no—
887C4×D11—28no—
888C4×D11—44no—
889C4×D11—44no—
890C4×D11—44no—
891C4×D11—44no—
892C4×D11—44no—
893C4×D11—82no—
894C4×D11—82no—
895Dic22—82no—
896C23×D4—111no—
897C23×D4—111no—
898C23×D4—111no—
899C24×C4—111no—
900#538—228no—
901C2×#126—111no—
902C2×#126—111no—
903C2×#124—111no—
904C2×#124—111no—
905C2×#123—111no—
906C2×#123—111no—
907C2×C22⋊Q8—111no—
908C2×C22⋊Q8—111no—
909C2×C22⋊Q8—111no—
910C2×#121—111no—
911C2×#121—111no—
912C2×#121—111no—
913C2×#121—111no—
914C2×#121—111no—
915C2×#121—111no—
916C2×#121—111no—
917C2×#121—111no—
918C2×#121—111no—
919C2×#121—111no—
920C2×#121—111no—
921C2×#121—111no—
922C2×#121—111no—
923C2×#121—111no—
924C2×#121—111no—
925C2×#121—111no—
926C2×#121—111no—
927C2×#121—111no—
928C2×#121—111no—
929C2×#121—228no—
930C2×#121C2×D1111yescharacteristic
931C2×#121C2×D1111yescharacteristic, complemented
932C2×#121C2×D1111yescharacteristic, complemented
933C2×#121C2×D1111yescharacteristic, complemented
934C2×#121C2×D1111yescharacteristic, complemented
935C2×#121C2×D1111yescharacteristic, complemented
936C2×#120—111no—
937C2×#120—111no—
938C2×#120—111no—
939C2×#120—111no—
940C2×#120—111no—
941C2×#120—111no—
942C2×C4×D4—111no—
943C2×C4×D4—111no—
944C22×C4⋊C4—111no—
945C22×C22⋊C4—111no—
946C22×C22⋊C4—111no—
947C22×C22⋊C4—111no—
948C22×C22⋊C4—111no—
949#399—111no—
950#399—111no—
951#398—111no—
952#398—111no—
953#398—111no—
954#398—111no—
955#397—111no—
956#397—111no—
957#396—111no—
958#396—111no—
959#396—111no—
960#396—111no—
961#396—111no—
962#396—111no—
963#396C2×D1111yescharacteristic, complemented
964#396C2×D1111yescharacteristic, complemented
965#394—111no—
966#394—111no—
967#394—111no—
968#394—111no—
969#394—111no—
970#394—111no—
971#394—111no—
972#394—111no—
973#394—111no—
974#394—111no—
975#394—111no—
976#394—111no—
977#394—111no—
978#394—111no—
979#394—111no—
980#394—111no—
981#393—111no—
982#393—111no—
983#392—111no—
984#392—111no—
985#392—111no—
986#392—111no—
987#392—111no—
988#392—111no—
989#392—111no—
990#392—111no—
991#392—111no—
992#392—111no—
993#392C2×D1111yescharacteristic, complemented
994#392C2×D1111yescharacteristic, complemented
995#392C2×D1111yescharacteristic, complemented
996#392C2×D1111yescharacteristic, complemented
997#390—111no—
998#390—111no—
999#390—111no—
1000#390—111no—
1001#387—111no—
1002#387—111no—
1003#387—111no—
1004#387—111no—
1005#386—111no—
1006#386—111no—
1007#386—111no—
1008#386—111no—
1009#386—111no—
1010#386—111no—
1011#386—111no—
1012#386—111no—
1013#386—111no—
1014#386—111no—
1015#386—111no—
1016#386—111no—
1017#386—111no—
1018#386—111no—
1019#386—111no—
1020#386—111no—
1021#385—111no—
1022#385—111no—
1023#385—111no—
1024#385—111no—
1025#385—111no—
1026#385—111no—
1027#385—111no—
1028#385—111no—
1029#385—111no—
1030#385—111no—
1031#385—111no—
1032#385—111no—
1033#385—111no—
1034#385—111no—
1035#385—111no—
1036#385—111no—
1037#385—111no—
1038#385C2×D1111yescharacteristic, complemented
1039#385C2×D1111yescharacteristic, complemented
1040#385C2×D1111yescharacteristic, complemented
1041#380—111no—
1042#380—111no—
1043#380—111no—
1044#380—111no—
1045#380—111no—
1046#380—111no—
1047#380—111no—
1048#380—111no—
1049#379—111no—
1050#379—111no—
1051#379—111no—
1052#379—111no—
1053C22×C11—22no—
1054C22×C11—22no—
1055C22×C11—22no—
1056C22×C11—22no—
1057C22×C11—22no—
1058C22×C11—22no—
1059C22×C11—41no—
1060C22×C11—41no—
1061C22×C11—41no—
1062C22×C11—41no—
1063C22×C11—41no—
1064C22×C11—41no—
1065C22×C11—41no—
1066C22×C11—41no—
1067C22×C11—41no—
1068C22×C11—41no—
1069C22×C11—41no—
1070C22×C11—41no—
1071C22×C11—41no—
1072C22×C11—41no—
1073C22×C11—41no—
1074C22×C11—41no—
1075C22×C11—41no—
1076C22×C11—41no—
1077C22×C11—41no—
1078C22×C11—41no—
1079C22×C11—41no—
1080C22×C11—41no—
1081C22×C11—41no—
1082C22×C11—41no—
1083C22×C11—41no—
1084C22×C11—41no—
1085C22×C11—41no—
1086C22×C11—41no—
1087C22×C11—41no—
1088C22×C11C23×D411yescharacteristic
1089C22×C11C2×H(5,𝔽2)11yescharacteristic
1090C22×C11C2×H(5,𝔽2)11yescharacteristic
1091C22×C11C2×H(5,𝔽2)11yescharacteristic
1092C22×C11C2×H(5,𝔽2)11yescharacteristic
1093C22×C11C2×H(5,𝔽2)11yescharacteristic
1094C22×C11C2×2−1+411yescharacteristic
1095C2×D11—22no—
1096C2×D11—22no—
1097C2×D11—22no—
1098C2×D11—22no—
1099C2×D11—22no—
1100C2×D11—22no—
1101C2×D11—22no—
1102C2×D11—22no—
1103C2×D11—22no—
1104C2×D11—22no—
1105C2×D11—22no—
1106C2×D11—22no—
1107C2×D11—416no—
1108C2×D11—41no—
1109C2×D11—41no—
1110C2×D11—41no—
1111C2×D11—41no—
1112C2×D11—41no—
1113C2×D11—41no—
1114C2×D11—41no—
1115C2×D11—41no—
1116C2×D11—41no—
1117C2×D11—41no—
1118C2×D11—41no—
1119C2×D11—41no—
1120C2×D11—41no—
1121C2×D11—41no—
1122C2×D11—41no—
1123C2×D11—88no—
1124C2×D11—88no—
1125C2×D11#53714yes—
1126C4×C11—22no—
1127C4×C11—22no—
1128C4×C11—22no—
1129C4×C11—41no—
1130C4×C11—41no—
1131C4×C11—41no—
1132C4×C11—41no—
1133C4×C11—41no—
1134C4×C11—41no—
1135C4×C11—41no—
1136Dic11—22no—
1137Dic11—22no—
1138Dic11—22no—
1139Dic11—41no—
1140Dic11—41no—
1141Dic11—41no—
1142Dic11—41no—
1143Dic11—41no—
1144Dic11—41no—
1145Dic11—41no—
1146Dic11—41no—
1147Dic11—41no—
1148C25—111no—
1149C25—111no—
1150C25—111no—
1151C22×Q8—111no—
1152C22×D4—111no—
1153C22×D4—111no—
1154C22×D4—111no—
1155C22×D4—111no—
1156C22×D4—111no—
1157C22×D4—111no—
1158C22×D4—111no—
1159C22×D4—111no—
1160C22×D4—111no—
1161C22×D4—111no—
1162C22×D4—111no—
1163C22×D4—111no—
1164C22×D4—111no—
1165C22×D4—111no—
1166C22×D4—111no—
1167C22×D4—111no—
1168C22×D4—111no—
1169C22×D4—224no—
1170C22×D4—224no—
1171C22×D4—224no—
1172C22×D4—442no—
1173C22×D4—442no—
1174C22×D4—442no—
1175C22×D4—442no—
1176C22×D4—442no—
1177C22×D4—442no—
1178C22×D4C22×D1111yescharacteristic
1179C22×D4C22×D1111yescharacteristic
1180C22×D4C22×D1111yescharacteristic
1181C22×D4C22×D1111yescharacteristic
1182C22×D4C22×D1111yescharacteristic
1183C22×D4C22×D1111yescharacteristic
1184C22×D4C22×D1111yescharacteristic
1185C22×D4C22×D1111yescharacteristic
1186C22×D4C22×D1111yescharacteristic
1187C22×D4C22×D1111yescharacteristic
1188C23×C4—111no—
1189C23×C4—111no—
1190C23×C4—111no—
1191C23×C4—111no—
1192C23×C4—111no—
1193C23×C4—111no—
1194C23×C4—111no—
1195C23×C4—111no—
1196C23×C4—111no—
1197C23×C4—111no—
1198C23×C4—111no—
1199C23×C4—224no—
1200C23×C4—442no—
1201C23×C4—442no—
1202C23×C4C22×D1111yescharacteristic
1203C23×C4C22×D1111yescharacteristic
1204C23×C4C22×D1111yescharacteristic
1205#126—224no—
1206#126—224no—
1207#124—224no—
1208#124—224no—
1209#123—224no—
1210#123—224no—
1211C22⋊Q8—224no—
1212C22⋊Q8—442no—
1213C22⋊Q8—442no—
1214#121—24no—
1215#121—24no—
1216#121—42no—
1217#121—42no—
1218#121—42no—
1219#121—42no—
1220#121—224no—
1221#121—224no—
1222#121—224no—
1223#121—224no—
1224#121—224no—
1225#121—224no—
1226#121—224no—
1227#121—224no—
1228#121—224no—
1229#121—442no—
1230#121—442no—
1231#121—442no—
1232#121—442no—
1233#121—442no—
1234#121—442no—
1235#121—442no—
1236#121—442no—
1237#121—442no—
1238#121—442no—
1239#120—224no—
1240#120—224no—
1241#120—442no—
1242#120—442no—
1243#120—442no—
1244#120—442no—
1245C4×D4—224no—
1246C4×D4—224no—
1247C2×C4⋊C4—111no—
1248C2×C4⋊C4—111no—
1249C2×C4⋊C4—111no—
1250C2×C4⋊C4—111no—
1251C2×C4⋊C4—111no—
1252C2×C4⋊C4—111no—
1253C2×C4⋊C4—111no—
1254C2×C4⋊C4—111no—
1255C2×C4⋊C4—111no—
1256C2×C4⋊C4—111no—
1257C2×C4⋊C4—111no—
1258C2×C4⋊C4—111no—
1259C2×C4⋊C4—111no—
1260C2×C4⋊C4—111no—
1261C2×C4⋊C4—111no—
1262C2×C4⋊C4—111no—
1263C2×C4⋊C4—111no—
1264C2×C4⋊C4—111no—
1265C2×C4⋊C4—111no—
1266C2×C4⋊C4—111no—
1267C2×C4⋊C4—224no—
1268C2×C4⋊C4C22×D1111yescharacteristic
1269C2×C4⋊C4C22×D1111yescharacteristic
1270C2×C4⋊C4C22×D1111yescharacteristic
1271C2×C4⋊C4C22×D1111yescharacteristic
1272C2×C4⋊C4C22×D1111yescharacteristic
1273C2×C4⋊C4C22×D1111yescharacteristic
1274C2×C22⋊C4—111no—
1275C2×C22⋊C4—111no—
1276C2×C22⋊C4—111no—
1277C2×C22⋊C4—118no—
1278C2×C22⋊C4—111no—
1279C2×C22⋊C4—111no—
1280C2×C22⋊C4—111no—
1281C2×C22⋊C4—111no—
1282C2×C22⋊C4—111no—
1283C2×C22⋊C4—111no—
1284C2×C22⋊C4—111no—
1285C2×C22⋊C4—111no—
1286C2×C22⋊C4—111no—
1287C2×C22⋊C4—111no—
1288C2×C22⋊C4—111no—
1289C2×C22⋊C4—111no—
1290C2×C22⋊C4—111no—
1291C2×C22⋊C4—111no—
1292C2×C22⋊C4—111no—
1293C2×C22⋊C4—111no—
1294C2×C22⋊C4—111no—
1295C2×C22⋊C4—111no—
1296C2×C22⋊C4—111no—
1297C2×C22⋊C4—111no—
1298C2×C22⋊C4—111no—
1299C2×C22⋊C4—111no—
1300C2×C22⋊C4—111no—
1301C2×C22⋊C4—111no—
1302C2×C22⋊C4—111no—
1303C2×C22⋊C4—111no—
1304C2×C22⋊C4—111no—
1305C2×C22⋊C4—111no—
1306C2×C22⋊C4—111no—
1307C2×C22⋊C4—111no—
1308C2×C22⋊C4—111no—
1309C2×C22⋊C4—111no—
1310C2×C22⋊C4—111no—
1311C2×C22⋊C4—111no—
1312C2×C22⋊C4—111no—
1313C2×C22⋊C4—111no—
1314C2×C22⋊C4—111no—
1315C2×C22⋊C4—111no—
1316C2×C22⋊C4—111no—
1317C2×C22⋊C4—111no—
1318C2×C22⋊C4—111no—
1319C2×C22⋊C4—111no—
1320C2×C22⋊C4—111no—
1321C2×C22⋊C4—224no—
1322C2×C22⋊C4—442no—
1323C2×C22⋊C4—442no—
1324C2×C22⋊C4C22×D1111yescharacteristic
1325C2×C22⋊C4C22×D1111yescharacteristic
1326C2×C22⋊C4C22×D1111yescharacteristic
1327C2×C22⋊C4C22×D1111yescharacteristic
1328C2×C22⋊C4C22×D1111yescharacteristic
1329C2×C22⋊C4C22×D1111yescharacteristic
1330C2×C22⋊C4C22×D1111yescharacteristic
1331C2×C22⋊C4C22×D1111yescharacteristic
1332C2×C22⋊C4C22×D1111yescharacteristic
1333C2×C22⋊C4C22×D1111yescharacteristic
1334C2×C22⋊C4C22×D1111yescharacteristic
1335C2×C22⋊C4C22×D1111yescharacteristic
1336C2×C42—111no—
1337C2×C42—111no—
1338#95—111no—
1339#95—111no—
1340#95—111no—
1341#95—111no—
1342#95—111no—
1343#95—111no—
1344#95—111no—
1345#95—111no—
1346#95—111no—
1347#95—111no—
1348#95—111no—
1349#95—111no—
1350#95—111no—
1351#95—111no—
1352#95—111no—
1353#95—111no—
1354#95—111no—
1355#95—111no—
1356#95—111no—
1357#95—111no—
1358#95C22×D1111yescharacteristic
1359#95C22×D1111yescharacteristic
1360#95C22×D1111yescharacteristic
1361#95C22×D1111yescharacteristic
1362C2×C11—42no—
1363C2×C11—42no—
1364C2×C11—81no—
1365C2×C11—81no—
1366C2×C11—81no—
1367C2×C11C2×#53711yescharacteristic
1368C2×C11#348411yescharacteristic
1369C2×C11#348411yescharacteristic
1370C2×C11#353611yescharacteristic
1371C2×C11#353611yescharacteristic
1372C2×C11#353711yescharacteristic
1373C2×C11#353711yescharacteristic
1374D11—24no—
1375D11—42no—
1376D11—42no—
1377D11—81no—
1378C24—111no—
1379C24—111no—
1380C24—111no—
1381C24—114no—
1382C24—111no—
1383C24—222no—
1384C24—222no—
1385C24—222no—
1386C24—222no—
1387C24—222no—
1388C24—222no—
1389C24—222no—
1390C24—222no—
1391C24—222no—
1392C24—222no—
1393C24—441no—
1394C24—441no—
1395C24—441no—
1396C24—441no—
1397C24—441no—
1398C24—441no—
1399C24—441no—
1400C24—441no—
1401C24—441no—
1402C24—441no—
1403C24C23×D1111yescharacteristic
1404C24C23×D1111yescharacteristic
1405C24C23×D1111yescharacteristic
1406C24C23×D1111yescharacteristic
1407C24C23×D1111yescharacteristic
1408C2×Q8—222no—
1409C2×Q8—441no—
1410C2×Q8—441no—
1411C2×D4—22no—
1412C2×D4—22no—
1413C2×D4—22no—
1414C2×D4—22no—
1415C2×D4—22no—
1416C2×D4—22no—
1417C2×D4—22no—
1418C2×D4—22no—
1419C2×D4—22no—
1420C2×D4—22no—
1421C2×D4—22no—
1422C2×D4—41no—
1423C2×D4—41no—
1424C2×D4—41no—
1425C2×D4—41no—
1426C2×D4—41no—
1427C2×D4—41no—
1428C2×D4—41no—
1429C2×D4—41no—
1430C2×D4—41no—
1431C2×D4—41no—
1432C2×D4—41no—
1433C2×D4—41no—
1434C2×D4—41no—
1435C2×D4—41no—
1436C2×D4—41no—
1437C2×D4—41no—
1438C2×D4—41no—
1439C2×D4—41no—
1440C2×D4—41no—
1441C2×D4—222no—
1442C2×D4—222no—
1443C2×D4—222no—
1444C2×D4—222no—
1445C2×D4—222no—
1446C2×D4—222no—
1447C2×D4—222no—
1448C2×D4—222no—
1449C2×D4—222no—
1450C2×D4—222no—
1451C2×D4—222no—
1452C2×D4—222no—
1453C2×D4—222no—
1454C2×D4—222no—
1455C2×D4—222no—
1456C2×D4—222no—
1457C2×D4—222no—
1458C2×D4—222no—
1459C2×D4—222no—
1460C2×D4—222no—
1461C2×D4—222no—
1462C2×D4—222no—
1463C2×D4—222no—
1464C2×D4—222no—
1465C2×D4—222no—
1466C2×D4—222no—
1467C2×D4—222no—
1468C2×D4—222no—
1469C2×D4—441no—
1470C2×D4—441no—
1471C2×D4—441no—
1472C2×D4—4416no—
1473C2×D4—441no—
1474C2×D4—441no—
1475C2×D4—441no—
1476C2×D4—441no—
1477C2×D4—441no—
1478C2×D4—441no—
1479C2×D4—441no—
1480C2×D4—441no—
1481C2×D4—441no—
1482C2×D4—441no—
1483C2×D4—441no—
1484C2×D4—441no—
1485C2×D4—441no—
1486C2×D4—441no—
1487C2×D4—441no—
1488C2×D4—441no—
1489C2×D4—441no—
1490C2×D4—441no—
1491C2×D4—441no—
1492C2×D4—441no—
1493C2×D4—4416no—
1494C2×D4—4416no—
1495C22×C4—22no—
1496C22×C4—22no—
1497C22×C4—22no—
1498C22×C4—41no—
1499C22×C4—41no—
1500C22×C4—41no—
1501C22×C4—41no—
1502C22×C4—41no—
1503C22×C4—41no—
1504C22×C4—111no—
1505C22×C4—111no—
1506C22×C4—111no—
1507C22×C4—114no—
1508C22×C4—114no—
1509C22×C4—111no—
1510C22×C4—111no—
1511C22×C4—111no—
1512C22×C4—111no—
1513C22×C4—111no—
1514C22×C4—111no—
1515C22×C4—111no—
1516C22×C4—111no—
1517C22×C4—111no—
1518C22×C4—222no—
1519C22×C4—222no—
1520C22×C4—222no—
1521C22×C4—222no—
1522C22×C4—222no—
1523C22×C4—222no—
1524C22×C4—222no—
1525C22×C4—222no—
1526C22×C4—222no—
1527C22×C4—222no—
1528C22×C4—222no—
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×C4—441no—
1538C22×C4—441no—
1539C22×C4—441no—
1540C22×C4—441no—
1541C22×C4—441no—
1542C22×C4—441no—
1543C22×C4—4416no—
1544C22×C4—441no—
1545C22×C4—441no—
1546C22×C4—441no—
1547C22×C4—441no—
1548C22×C4—441no—
1549C22×C4—441no—
1550C22×C4C23×D1111yescharacteristic
1551C22×C4C23×D1111yescharacteristic
1552C22×C4C23×D1111yescharacteristic
1553C22×C4C23×D1111yescharacteristic
1554C22×C4C23×D1111yescharacteristic
1555C22×C4C23×D1111yescharacteristic
1556C22×C4C23×D1111yescharacteristic
1557C22×C4C23×D1111yescharacteristic
1558C22×C4C23×D1111yescharacteristic
1559C22×C4C23×D1111yescharacteristic
1560C4⋊C4—22no—
1561C4⋊C4—22no—
1562C4⋊C4—22no—
1563C4⋊C4—41no—
1564C4⋊C4—41no—
1565C4⋊C4—41no—
1566C4⋊C4—222no—
1567C4⋊C4—222no—
1568C4⋊C4—222no—
1569C4⋊C4—222no—
1570C4⋊C4—222no—
1571C4⋊C4—222no—
1572C4⋊C4—222no—
1573C4⋊C4—222no—
1574C4⋊C4—222no—
1575C4⋊C4—222no—
1576C4⋊C4—222no—
1577C4⋊C4—441no—
1578C4⋊C4—441no—
1579C4⋊C4—441no—
1580C4⋊C4—441no—
1581C4⋊C4—441no—
1582C4⋊C4—441no—
1583C4⋊C4—441no—
1584C4⋊C4—441no—
1585C4⋊C4—441no—
1586C22⋊C4—22no—
1587C22⋊C4—22no—
1588C22⋊C4—22no—
1589C22⋊C4—22no—
1590C22⋊C4—22no—
1591C22⋊C4—41no—
1592C22⋊C4—41no—
1593C22⋊C4—41no—
1594C22⋊C4—41no—
1595C22⋊C4—41no—
1596C22⋊C4—41no—
1597C22⋊C4—114no—
1598C22⋊C4—114no—
1599C22⋊C4—114no—
1600C22⋊C4—222no—
1601C22⋊C4—222no—
1602C22⋊C4—222no—
1603C22⋊C4—222no—
1604C22⋊C4—222no—
1605C22⋊C4—222no—
1606C22⋊C4—222no—
1607C22⋊C4—222no—
1608C22⋊C4—222no—
1609C22⋊C4—222no—
1610C22⋊C4—222no—
1611C22⋊C4—222no—
1612C22⋊C4—222no—
1613C22⋊C4—222no—
1614C22⋊C4—222no—
1615C22⋊C4—222no—
1616C22⋊C4—222no—
1617C22⋊C4—222no—
1618C22⋊C4—222no—
1619C22⋊C4—222no—
1620C22⋊C4—222no—
1621C22⋊C4—441no—
1622C22⋊C4—441no—
1623C22⋊C4—441no—
1624C22⋊C4—441no—
1625C22⋊C4—441no—
1626C22⋊C4—441no—
1627C22⋊C4—441no—
1628C22⋊C4—441no—
1629C22⋊C4—441no—
1630C22⋊C4—441no—
1631C22⋊C4—441no—
1632C22⋊C4—441no—
1633C22⋊C4—441no—
1634C22⋊C4—441no—
1635C22⋊C4—441no—
1636C22⋊C4—441no—
1637C22⋊C4—441no—
1638C22⋊C4—441no—
1639C22⋊C4—441no—
1640C22⋊C4—441no—
1641C22⋊C4—441no—
1642C22⋊C4—441no—
1643C22⋊C4D4×D1114yes—
1644C42—222no—
1645C42—222no—
1646C11#3670611yescharacteristic, complemented, Sylow
1647C23—21no—
1648C23—21no—
1649C23—21no—
1650C23—21no—
1651C23—21no—
1652C23—21no—
1653C23—21no—
1654C23—21no—
1655C23—21no—
1656C23—21no—
1657C23—21no—
1658C23—21no—
1659C23—21no—
1660C23—21no—
1661C23—21no—
1662C23—21no—
1663C23—21no—
1664C23—21no—
1665C23—21no—
1666C23—21no—
1667C23—21no—
1668C23—21no—
1669C23—21no—
1670C23—21no—
1671C23—21no—
1672C23—21no—
1673C23—21no—
1674C23—21no—
1675C23—21no—
1676C23—21no—
1677C23—21no—
1678C23—21no—
1679C23—21no—
1680C23—112no—
1681C23—112no—
1682C23—112no—
1683C23—112no—
1684C23—112no—
1685C23—228no—
1686C23—228no—
1687C23—221no—
1688C23—221no—
1689C23—221no—
1690C23—221no—
1691C23—221no—
1692C23—221no—
1693C23—221no—
1694C23—221no—
1695C23—221no—
1696C23—221no—
1697C23—221no—
1698C23—221no—
1699C23—221no—
1700C23—221no—
1701C23—221no—
1702C23—221no—
1703C23—221no—
1704C23—221no—
1705C23—221no—
1706C23—221no—
1707C23—221no—
1708C23—221no—
1709C23—221no—
1710C23—444no—
1711C23—444no—
1712C23—444no—
1713C23—444no—
1714C23—444no—
1715C23—444no—
1716C23—444no—
1717C23—444no—
1718C23—444no—
1719C23—444no—
1720C23—444no—
1721C23—882no—
1722C23—882no—
1723C23—882no—
1724C23—882no—
1725C23—882no—
1726C23—882no—
1727C23—882no—
1728C23—882no—
1729C23C2×D4×D1112yes—
1730C23#6703712yes—
1731C23C24×D1111yescharacteristic
1732Q8—882no—
1733D4—44no—
1734D4—44no—
1735D4—44no—
1736D4—82no—
1737D4—82no—
1738D4—82no—
1739D4—82no—
1740D4—82no—
1741D4—82no—
1742D4—82no—
1743D4—444no—
1744D4—444no—
1745D4—444no—
1746D4—444no—
1747D4—444no—
1748D4—444no—
1749D4—444no—
1750D4—444no—
1751D4—444no—
1752D4—444no—
1753D4—444no—
1754D4—882no—
1755D4—882no—
1756D4—882no—
1757D4—882no—
1758D4—882no—
1759D4—882no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—21no—
1782C2×C4—21no—
1783C2×C4—21no—
1784C2×C4—21no—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—44no—
1788C2×C4—82no—
1789C2×C4—82no—
1790C2×C4—112no—
1791C2×C4—112no—
1792C2×C4—112no—
1793C2×C4—228no—
1794C2×C4—221no—
1795C2×C4—221no—
1796C2×C4—221no—
1797C2×C4—221no—
1798C2×C4—221no—
1799C2×C4—221no—
1800C2×C4—221no—
1801C2×C4—221no—
1802C2×C4—221no—
1803C2×C4—221no—
1804C2×C4—221no—
1805C2×C4—221no—
1806C2×C4—221no—
1807C2×C4—221no—
1808C2×C4—221no—
1809C2×C4—221no—
1810C2×C4—221no—
1811C2×C4—221no—
1812C2×C4—221no—
1813C2×C4—221no—
1814C2×C4—221no—
1815C2×C4—221no—
1816C2×C4—221no—
1817C2×C4—221no—
1818C2×C4—221no—
1819C2×C4—221no—
1820C2×C4—221no—
1821C2×C4—221no—
1822C2×C4—221no—
1823C2×C4—221no—
1824C2×C4—221no—
1825C2×C4—221no—
1826C2×C4—221no—
1827C2×C4—444no—
1828C2×C4—444no—
1829C2×C4—444no—
1830C2×C4—444no—
1831C2×C4—444no—
1832C2×C4—444no—
1833C2×C4—882no—
1834C2×C4—882no—
1835C2×C4—882no—
1836C2×C4—882no—
1837C2×C4C2×D4×D1112yes—
1838C2×C4C2×D4×D1112yes—
1839C2×C4#6703712yes—
1840C22—22no—
1841C22—22no—
1842C22—22no—
1843C22—22no—
1844C22—22no—
1845C22—22no—
1846C22—41no—
1847C22—41no—
1848C22—41no—
1849C22—41no—
1850C22—41no—
1851C22—41no—
1852C22—41no—
1853C22—41no—
1854C22—41no—
1855C22—41no—
1856C22—41no—
1857C22—41no—
1858C22—41no—
1859C22—41no—
1860C22—41no—
1861C22—41no—
1862C22—41no—
1863C22—41no—
1864C22—41no—
1865C22—41no—
1866C22—41no—
1867C22—41no—
1868C22—41no—
1869C22—41no—
1870C22—41no—
1871C22—41no—
1872C22—41no—
1873C22—41no—
1874C22—41no—
1875C22—114no—
1876C22—222no—
1877C22—222no—
1878C22—222no—
1879C22—222no—
1880C22—222no—
1881C22—222no—
1882C22—222no—
1883C22—222no—
1884C22—222no—
1885C22—222no—
1886C22—222no—
1887C22—222no—
1888C22—4416no—
1889C22—441no—
1890C22—441no—
1891C22—441no—
1892C22—441no—
1893C22—441no—
1894C22—441no—
1895C22—441no—
1896C22—441no—
1897C22—441no—
1898C22—441no—
1899C22—441no—
1900C22—441no—
1901C22—441no—
1902C22—441no—
1903C22—441no—
1904C22—888no—
1905C22—888no—
1906C22C22×D4×D1111yescharacteristic
1907C22C2×#6703711yescharacteristic
1908C22C2×#6703711yescharacteristic
1909C22D11×H(5,𝔽2)11yescharacteristic
1910C22D11×H(5,𝔽2)11yescharacteristic
1911C22D11×H(5,𝔽2)11yescharacteristic
1912C22D11×2−1+411yescharacteristic
1913C4—22no—
1914C4—22no—
1915C4—22no—
1916C4—41no—
1917C4—41no—
1918C4—41no—
1919C4—41no—
1920C4—41no—
1921C4—41no—
1922C4—41no—
1923C4—222no—
1924C4—222no—
1925C4—222no—
1926C4—441no—
1927C4—441no—
1928C4—441no—
1929C4—441no—
1930C4—441no—
1931C4—441no—
1932C4—441no—
1933C4—441no—
1934C4—441no—
1935C2—42no—
1936C2—42no—
1937C2—81no—
1938C2—81no—
1939C2—81no—
1940C2—224no—
1941C2—442no—
1942C2—442no—
1943C2—881no—
1944C2D11×#53711yescharacteristic
1945C2#1308224411yescharacteristic
1946C2#1308224411yescharacteristic
1947C2#1308283311yescharacteristic
1948C2#1308283411yescharacteristic
1949C2#1308284711yescharacteristic
1950C2#1308285011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2675C2
hypercenter#2675D11
hypocenterC11#36706
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2675

Complements

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

NH ≅ G/Ntype
1. C2×#10623144C2semidirect
2. C2×D11×#121C2semidirect
3. #13076902C2semidirect
4. #13076895C2semidirect
5. #13075103C2semidirect
6. #13075101C2semidirect
7. #13075095C2semidirect
8. #13075093C2semidirect
9. #13074923C2semidirect
10. #13074922C2semidirect
11. #13074911C2semidirect
12. #13074910C2semidirect
13. #13074908C2semidirect
14. #13074906C2semidirect
15. #13074906C2semidirect
16. #13074856C2semidirect
17. #13074854C2semidirect
18. #13074848C2semidirect
19. #13074846C2semidirect
20. #13074426C2semidirect
21. #13074349C2semidirect
22. #13073961C2semidirect
23. #13073958C2semidirect
24. #13071987C2semidirect
25. #13071987C2semidirect
26. #13071983C2semidirect
27. #13071983C2semidirect
28. #13071968C2semidirect
29. #13071965C2semidirect
30. #13071227C2semidirect
31. C11×#2675C2semidirect
37. C2×C11×#121C22semidirect
38. C2×C11×#121C22semidirect
39. C2×C11×#121C22semidirect
40. C2×C11×#121C22semidirect
41. C2×C11×#121C22semidirect
44. C2×#66992C22semidirect
45. C2×#66992C22semidirect
46. C2×#66992C22semidirect
47. C2×#66992C22semidirect
48. C2×#66992C22semidirect
51. C2×#66991C22semidirect
52. C2×#66991C22semidirect
53. C2×#66991C22semidirect
60. C2×#66989C22semidirect
61. C2×#66988C22semidirect
63. C2×#66983C22semidirect
64. C2×#66982C22semidirect
69. C2×#66951C22semidirect
71. C2×#66949C22semidirect
74. C2×#66938C22semidirect
77. C2×#66937C22semidirect
78. C2×#66937C22semidirect
83. C2×#66932C22semidirect
84. C2×#66931C22semidirect
85. C11×#396C22semidirect
86. C11×#396C22semidirect
87. C11×#392C22semidirect
88. C11×#392C22semidirect
89. C11×#392C22semidirect
90. C11×#392C22semidirect
91. C11×#385C22semidirect
92. C11×#385C22semidirect
93. C11×#385C22semidirect
94. #10622836C22semidirect
95. #10622836C22semidirect
96. #10622836C22semidirect
97. #10622836C22semidirect
98. #10622836C22semidirect
99. #10622836C22semidirect
100. #10622836C22semidirect
101. #10622835C22semidirect
102. #10622835C22semidirect
103. #10622835C22semidirect
104. #10622835C22semidirect
105. #10622835C22semidirect
106. #10622834C22semidirect
107. #10622833C22semidirect
108. #10622833C22semidirect
109. #10622833C22semidirect
110. #10622833C22semidirect
111. #10622826C22semidirect
112. #10622826C22semidirect
113. #10622825C22semidirect
114. #10622823C22semidirect
115. #10622823C22semidirect
116. #10622823C22semidirect
117. #10622607C22semidirect
118. #10622607C22semidirect
119. #10622605C22semidirect
120. #10622604C22semidirect
121. #10622604C22semidirect
124. #10622602C22semidirect
125. #10622602C22semidirect
126. #10622602C22semidirect
127. #10622601C22semidirect
130. #10622600C22semidirect
131. #10622597C22semidirect
132. #10622596C22semidirect
133. #10622594C22semidirect
134. #10622593C22semidirect
135. #10622591C22semidirect
136. #10622574C22semidirect
137. #10622574C22semidirect
138. #10622573C22semidirect
139. #10622573C22semidirect
140. #10622573C22semidirect
141. #10622572C22semidirect
142. #10622572C22semidirect
143. #10622572C22semidirect
144. #10622572C22semidirect
145. #10622572C22semidirect
146. #10622572C22semidirect
147. #10622570C22semidirect
148. #10622570C22semidirect
153. #10622569C22semidirect
154. #10622569C22semidirect
155. #10622569C22semidirect
156. #10622569C22semidirect
161. #10622566C22semidirect
162. #10622563C22semidirect
163. #10622563C22semidirect
164. #10622562C22semidirect
165. #10622561C22semidirect
166. #10622561C22semidirect
167. #10622561C22semidirect
168. #10622561C22semidirect
169. #10622560C22semidirect
170. #10622559C22semidirect
171. #10622559C22semidirect
172. #10622555C22semidirect
173. #10622287C22semidirect
174. #10622286C22semidirect
175. #10622285C22semidirect
178. #10622281C22semidirect
179. #10622281C22semidirect
180. #10622281C22semidirect
183. #10622280C22semidirect
184. #10622278C22semidirect
185. #10622278C22semidirect
186. #10622270C22semidirect
187. #10622266C22semidirect
188. #10622265C22semidirect
376. C22⋊C4×D11D4semidirect
687. #2675D11semidirect
931. C2×#121C2×D11semidirect
932. C2×#121C2×D11semidirect
933. C2×#121C2×D11semidirect
934. C2×#121C2×D11semidirect
935. C2×#121C2×D11semidirect
963. #396C2×D11semidirect
964. #396C2×D11semidirect
993. #392C2×D11semidirect
994. #392C2×D11semidirect
995. #392C2×D11semidirect
996. #392C2×D11semidirect
1038. #385C2×D11semidirect
1039. #385C2×D11semidirect
1040. #385C2×D11semidirect
1646. C11#36706semidirect

Maximal subgroups

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

subgroupindex
C2×#106231442
C2×D11×#1212
#130769022
#130768952
#130751032
#130751012
#130750952
#130750932
#130749232
#130749222
#130749112
#130749102
#130749082
#130749062
#130748562
#130748542
#130748482
#130748462
#130744262
#130743492
#130739612
#130739582
#130719872
#130719832
#130719682
#130719652
#130712272
C11×#26752
#3670611