Finite Group Databasebeta

← #14960780

Subgroups — #14960780

Order 2816.

2970 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623120C211yesmaximal, characteristic, complemented
2C2×D11×#123C211yesmaximal, characteristic, complemented
3#13076897C211yesmaximal, characteristic, complemented
4#13076895C211yesmaximal, characteristic, complemented
5#13075311C211yesmaximal, characteristic, complemented
6#13075310C211yesmaximal, characteristic, complemented
7#13075309C211yesmaximal, characteristic, complemented
8#13075308C211yesmaximal, characteristic, complemented
9#13075302C211yesmaximal, characteristic, complemented
10#13075300C211yesmaximal, characteristic, complemented
11#13075299C211yesmaximal, characteristic, complemented
12#13075297C211yesmaximal, characteristic, complemented
13#13074948C211yesmaximal, characteristic, complemented
14#13074945C211yesmaximal, characteristic, complemented
15#13074944C211yesmaximal, characteristic, complemented
16#13074941C211yesmaximal, characteristic, complemented
17#13074938C211yesmaximal, characteristic, complemented
18#13074937C211yesmaximal, characteristic, complemented
19#13074934C211yesmaximal, characteristic, complemented
20#13074363C211yesmaximal, characteristic, complemented
21#13074357C211yesmaximal, characteristic, complemented
22#13073545C211yesmaximal, characteristic, complemented
23#13073541C211yesmaximal, characteristic, complemented
24#13073107C211yesmaximal, characteristic, complemented
25#13073103C211yesmaximal, characteristic, complemented
26#13071941C211yesmaximal, characteristic, complemented
27#13071938C211yesmaximal, characteristic, complemented
28#13071927C211yesmaximal, characteristic, complemented
29#13071925C211yesmaximal, characteristic, complemented
30#13071210C211yesmaximal, characteristic, complemented
31C11×#2678C211yesmaximal, characteristic, complemented
32C23×C22⋊D11C2211yescharacteristic
33C22×D4×D11C2211yescharacteristic
34C22×D4×D11C2211yescharacteristic
35C23×C4×D11C2211yescharacteristic, complemented
36C2×C11×#123C2211yescharacteristic, complemented
37C2×C11×#121C2211yescharacteristic, complemented
38C2×C11×#120C2211yescharacteristic, complemented
39C2×C11×#120C2211yescharacteristic, complemented
40C2×#67006C2211yescharacteristic, complemented
41C2×#67006C2211yescharacteristic, complemented
42C2×#66992C2211yescharacteristic, complemented
43C2×#66991C2211yescharacteristic
44C2×#66991C2211yescharacteristic
45C2×#66991C2211yescharacteristic, complemented
46C2×#66990C2211yescharacteristic, complemented
47C2×#66990C2211yescharacteristic, complemented
48C2×#66990C2211yescharacteristic, complemented
49C2×#66990C2211yescharacteristic, complemented
50C2×#66990C2211yescharacteristic, complemented
51C2×#66990C2211yescharacteristic, complemented
52C2×#66988C2211yescharacteristic, complemented
53C2×#66988C2211yescharacteristic, complemented
54C2×#66982C2211yescharacteristic, complemented
55D11×#123—28no—
56#10623120—28no—
57C2×#66947C2211yescharacteristic, complemented
58C2×#66947C2211yescharacteristic, complemented
59C2×#66947C2211yescharacteristic, complemented
60C2×C4⋊C4×D11C2211yescharacteristic, complemented
61C2×C4⋊C4×D11C2211yescharacteristic, complemented
62C2×#66939C2211yescharacteristic, complemented
63C2×#66939C2211yescharacteristic, complemented
64C2×#66937C2211yescharacteristic
65C2×#66937C2211yescharacteristic
66C2×#66937C2211yescharacteristic, complemented
67C2×#66936C2211yescharacteristic, complemented
68C2×#66936C2211yescharacteristic, complemented
69C2×#66936C2211yescharacteristic, complemented
70C2×#66936C2211yescharacteristic, complemented
71C2×#66936C2211yescharacteristic, complemented
72C2×#66936C2211yescharacteristic, complemented
73C2×#66936C2211yescharacteristic, complemented
74C2×#66935C2211yescharacteristic, complemented
75C2×#66935C2211yescharacteristic, complemented
76C2×C22⋊C4×D11C2211yescharacteristic
77C2×C22⋊C4×D11C2211yescharacteristic
78C2×C22⋊C4×D11C2211yescharacteristic, complemented
79C11×#397C2211yescharacteristic, complemented
80C11×#396C2211yescharacteristic, complemented
81C11×#394C2211yescharacteristic, complemented
82C11×#394C2211yescharacteristic, complemented
83C11×#392C2211yescharacteristic
84C11×#392C2211yescharacteristic, complemented
85C11×#390C2211yescharacteristic, complemented
86C11×#390C2211yescharacteristic, complemented
87C11×#388C2211yescharacteristic, complemented
88C11×#386C2211yescharacteristic, complemented
89C11×#379C2211yescharacteristic, complemented
90#10622860C2211yescharacteristic, complemented
91#10622836C2211yescharacteristic
92#10622836C2211yescharacteristic
93#10622836C2211yescharacteristic
94#10622836C2211yescharacteristic
95#10622836C2211yescharacteristic, complemented
96#10622836C2211yescharacteristic, complemented
97#10622835C2211yescharacteristic, complemented
98#10622835C2211yescharacteristic, complemented
99#10622834C2211yescharacteristic, complemented
100#10622834C2211yescharacteristic, complemented
101#10622834C2211yescharacteristic, complemented
102#10622833C2211yescharacteristic, complemented
103#10622833C2211yescharacteristic, complemented
104#10622833C2211yescharacteristic, complemented
105#10622826C2211yescharacteristic, complemented
106#10622825C2211yescharacteristic, complemented
107#10622607C2211yescharacteristic, complemented
108#10622607C2211yescharacteristic, complemented
109#10622606C2211yescharacteristic, complemented
110#10622605C2211yescharacteristic, complemented
111#10622603C2211yescharacteristic, complemented
112#10622602C2211yescharacteristic, complemented
113#10622600C2211yescharacteristic, complemented
114#10622600C2211yescharacteristic, complemented
115#10622597C2211yescharacteristic, complemented
116#10622596C2211yescharacteristic, complemented
117#10622590C2211yescharacteristic, complemented
118#10622574C2211yescharacteristic, complemented
119#10622574C2211yescharacteristic, complemented
120#10622574C2211yescharacteristic, complemented
121#10622574C2211yescharacteristic, complemented
122#10622573C2211yescharacteristic
123#10622573C2211yescharacteristic
124#10622573C2211yescharacteristic
125#10622573C2211yescharacteristic, complemented
126#10622572C2211yescharacteristic, complemented
127#10622572C2211yescharacteristic, complemented
128#10622572C2211yescharacteristic, complemented
129#10622572C2211yescharacteristic, complemented
130#10622571C2211yescharacteristic, complemented
131#10622570C2211yescharacteristic, complemented
132#10622570C2211yescharacteristic, complemented
133#10622570C2211yescharacteristic, complemented
134#10622570C2211yescharacteristic, complemented
135#10622570C2211yescharacteristic, complemented
136#10622570C2211yescharacteristic, complemented
137#10622569C2211yescharacteristic, complemented
138#10622569C2211yescharacteristic, complemented
139#10622569C2211yescharacteristic, complemented
140#10622569C2211yescharacteristic, complemented
141#10622569C2211yescharacteristic, complemented
142#10622569C2211yescharacteristic, complemented
143#10622569C2211yescharacteristic, complemented
144#10622569C2211yescharacteristic, complemented
145#10622569C2211yescharacteristic, complemented
146#10622569C2211yescharacteristic, complemented
147#10622568C2211yescharacteristic
148#10622568C2211yescharacteristic
149#10622568C2211yescharacteristic, complemented
150#10622568C2211yescharacteristic, complemented
151#10622566C2211yescharacteristic, complemented
152#10622565C2211yescharacteristic, complemented
153#10622565C2211yescharacteristic, complemented
154#10622565C2211yescharacteristic, complemented
155#10622565C2211yescharacteristic, complemented
156#10622564C2211yescharacteristic, complemented
157#10622563C2211yescharacteristic, complemented
158#10622562C2211yescharacteristic, complemented
159#10622562C2211yescharacteristic, complemented
160#10622561C2211yescharacteristic, complemented
161#10622561C2211yescharacteristic, complemented
162#10622561C2211yescharacteristic, complemented
163#10622561C2211yescharacteristic, complemented
164#10622561C2211yescharacteristic, complemented
165#10622559C2211yescharacteristic, complemented
166#10622558C2211yescharacteristic, complemented
167#10622557C2211yescharacteristic, complemented
168#10622555C2211yescharacteristic, complemented
169#10622553C2211yescharacteristic, complemented
170#10622552C2211yescharacteristic, complemented
171C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
172#10622549C2211yescharacteristic, complemented
173#10622290C2211yescharacteristic, complemented
174#10622287C2211yescharacteristic, complemented
175#10622283C2211yescharacteristic, complemented
176#10622282C2211yescharacteristic, complemented
177#10622281C2211yescharacteristic, complemented
178#10622280C2211yescharacteristic, complemented
179#10622280C2211yescharacteristic, complemented
180#10622279C2211yescharacteristic, complemented
181#10622278C2211yescharacteristic, complemented
182#10622278C2211yescharacteristic, complemented
183#10622278C2211yescharacteristic, complemented
184#10622278C2211yescharacteristic, complemented
185#10622274C2211yescharacteristic, complemented
186#10622270C2211yescharacteristic, complemented
187#10622263C2211yescharacteristic, complemented
188#10622263C2211yescharacteristic, complemented
189C25×C11C2311yescharacteristic
190C24×D11C2311yescharacteristic
191C24×D11C2311yescharacteristic
192C24×D11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C22×D4×C11C2311yescharacteristic
195C22×D4×C11C2311yescharacteristic
196C22×D4×C11C2311yescharacteristic
197C22×D4×C11C2311yescharacteristic
198C22×D4×C11C2311yescharacteristic
199C22×D4×C11C2311yescharacteristic
200C23×C4×C11C2311yescharacteristic
201C22×C22⋊D11—24no—
202C22×C22⋊D11—42no—
203C22×C22⋊D11—42no—
204C22×C22⋊D11C2311yescharacteristic
205C22×C22⋊D11C2311yescharacteristic
206C22×C22⋊D11C2311yescharacteristic
207C22×C22⋊D11C2311yescharacteristic
208C22×C22⋊D11C2311yescharacteristic
209C22×C22⋊D11C2311yescharacteristic
210C22×C22⋊D11C2311yescharacteristic
211C22×C22⋊D11C2311yescharacteristic
212C22×C22⋊D11C2311yescharacteristic
213C22×C22⋊D11C2311yescharacteristic
214C22×C22⋊D11C2311yescharacteristic
215C22×C22⋊D11C2311yescharacteristic
216C22×C22⋊D11C2311yescharacteristic
217C22×C22⋊D11C2311yescharacteristic
218C23×Dic11C2311yescharacteristic
219C23×Dic11C2311yescharacteristic
220C2×D4×D11—24no—
221C2×D4×D11—24no—
222C2×D4×D11—42no—
223C2×D4×D11—42no—
224C2×D4×D11—42no—
225C2×D4×D11—42no—
226C22×D44C2311yescharacteristic
227C22×D44C2311yescharacteristic
228C22×D44C2311yescharacteristic
229C22×C4×D11—24no—
230C22×C4×D11—42no—
231C22×C4×D11—42no—
232C22×C4×D11C2311yescharacteristic
233C22×C4×D11C2311yescharacteristic
234C22×C4×D11C2311yescharacteristic
235C22×C4×D11C2311yescharacteristic
236C22×C4×D11C2311yescharacteristic
237C22×C4×D11C2311yescharacteristic
238C22×C4×D11C2311yescharacteristic
239C22×C4×D11C2311yescharacteristic
240C11×#123—24no—
241C11×#121—42no—
242C11×#120—24no—
243C11×#120—42no—
244C2×C11×C4⋊C4C2311yescharacteristic
245C2×C11×C4⋊C4C2311yescharacteristic
246C2×C11×C4⋊C4C2311yescharacteristic
247C2×C11×C4⋊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×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×C42×C11C2311yescharacteristic
266#67006—24no—
267#67006—42no—
268C2×C22⋊Dic11C2311yescharacteristic
269C2×C22⋊Dic11C2311yescharacteristic
270C2×C22⋊Dic11C2311yescharacteristic
271C2×C22⋊Dic11C2311yescharacteristic
272C2×C22⋊Dic11C2311yescharacteristic
273C2×C22⋊Dic11C2311yescharacteristic
274C2×C22⋊Dic11C2311yescharacteristic
275C2×C22⋊Dic11C2311yescharacteristic
276C2×C22⋊Dic11C2311yescharacteristic
277C2×C22⋊Dic11C2311yescharacteristic
278C2×C22⋊Dic11C2311yescharacteristic
279C2×C22⋊Dic11C2311yescharacteristic
280C2×C22⋊Dic11C2311yescharacteristic
281C2×C22⋊Dic11C2311yescharacteristic
282C2×C22⋊Dic11C2311yescharacteristic
283C2×C22⋊Dic11C2311yescharacteristic
284C2×C22⋊Dic11C2311yescharacteristic
285C2×C22⋊Dic11C2311yescharacteristic
286C2×C22⋊Dic11C2311yescharacteristic
287C2×C22⋊Dic11C2311yescharacteristic
288C2×C22⋊Dic11C2311yescharacteristic
289#66992—42no—
290#66991—24no—
291#66991—24no—
292#66991—42no—
293#66990—24no—
294#66990—24no—
295#66990—42no—
296#66990—42no—
297#66990—42no—
298#66990—42no—
299#66988—24no—
300#66988—24no—
301#66982—24no—
302C2×(C2×D11)⋊C4C2311yescharacteristic
303C2×(C2×D11)⋊C4C2311yescharacteristic
304C2×(C2×D11)⋊C4C2311yescharacteristic
305C2×(C2×D11)⋊C4C2311yescharacteristic
306C2×(C2×D11)⋊C4C2311yescharacteristic
307C2×(C2×D11)⋊C4C2311yescharacteristic
308C2×(C2×D11)⋊C4C2311yescharacteristic
309C2×(C2×D11)⋊C4C2311yescharacteristic
310C2×(C2×D11)⋊C4C2311yescharacteristic
311C2×(C2×D11)⋊C4C2311yescharacteristic
312C2×(C2×D11)⋊C4C2311yescharacteristic
313C2×(C2×D11)⋊C4C2311yescharacteristic
314C2×(C2×D11)⋊C4C2311yescharacteristic
315C2×(C2×D11)⋊C4C2311yescharacteristic
316C2×(C2×D11)⋊C4C2311yescharacteristic
317C2×(C2×D11)⋊C4C2311yescharacteristic
318C2×(C2×D11)⋊C4C2311yescharacteristic
319C2×(C2×D11)⋊C4C2311yescharacteristic
320C2×(C2×D11)⋊C4C2311yescharacteristic
321C2×(C2×D11)⋊C4C2311yescharacteristic
322C2×(C2×D11)⋊C4C2311yescharacteristic
323C2×(C2×D11)⋊C4C2311yescharacteristic
324C2×(C2×D11)⋊C4C2311yescharacteristic
325C2×(C2×D11)⋊C4C2311yescharacteristic
326C2×(C2×D11)⋊C4C2311yescharacteristic
327C2×(C2×D11)⋊C4C2311yescharacteristic
328C2×C4⋊Dic11C2311yescharacteristic
329C2×C4⋊Dic11C2311yescharacteristic
330C2×C4⋊Dic11C2311yescharacteristic
331C2×C4⋊Dic11C2311yescharacteristic
332C2×C4⋊Dic11C2311yescharacteristic
333C2×C4⋊Dic11C2311yescharacteristic
334C2×C4⋊Dic11C2311yescharacteristic
335C2×C4⋊Dic11C2311yescharacteristic
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×Dic11⋊C4C2311yescharacteristic
346C2×Dic11⋊C4C2311yescharacteristic
347C2×Dic11⋊C4C2311yescharacteristic
348C2×C4×Dic11C2311yescharacteristic
349C2×C4×Dic11C2311yescharacteristic
350C2×C4×Dic11C2311yescharacteristic
351#66947—24no—
352#66947—24no—
353#66947—42no—
354C4⋊C4×D11—24no—
355C4⋊C4×D11—24no—
356#66939—24no—
357#66939—24no—
358#66937—24no—
359#66937—24no—
360#66937—42no—
361#66936—24no—
362#66936—24no—
363#66936—24no—
364#66936—24no—
365#66936—42no—
366#66936—42no—
367#66936—42no—
368#66935—42no—
369#66935—42no—
370C22⋊C4×D11—24no—
371C22⋊C4×D11—24no—
372C22⋊C4×D11D418yescomplemented
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#36721—111nomaximal, Sylow
398C24×C11—22no—
399C24×C11—41no—
400C24×C11—41no—
401C24×C11—41no—
402C24×C11—41no—
403C24×C11—41no—
404C24×C11—41no—
405C24×C11C2411yescharacteristic
406C24×C11C2411yescharacteristic
407C24×C11C2411yescharacteristic
408C24×C11C2411yescharacteristic
409C24×C11C2411yescharacteristic
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—41no—
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×D11—41no—
430C23×D11C2×D414yes—
431C23×D11C2411yescharacteristic
432C23×D11C2411yescharacteristic
433C23×D11C2411yescharacteristic
434C23×D11C2411yescharacteristic
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—41no—
444C2×D4×C11—41no—
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—
456C22×C4×C11—22no—
457C22×C4×C11—22no—
458C22×C4×C11—41no—
459C22×C4×C11C2411yescharacteristic
460C22×C4×C11C2411yescharacteristic
461C22×C4×C11C2411yescharacteristic
462C22×C4×C11C2411yescharacteristic
463C22×C4×C11C2411yescharacteristic
464C22×C4×C11C2411yescharacteristic
465C22×C4×C11C2411yescharacteristic
466C22×C4×C11C2411yescharacteristic
467C22×C4×C11C2411yescharacteristic
468C22×C4×C11C2411yescharacteristic
469C2×C22⋊D11—22no—
470C2×C22⋊D11—22no—
471C2×C22⋊D11—22no—
472C2×C22⋊D11—22no—
473C2×C22⋊D11—22no—
474C2×C22⋊D11—22no—
475C2×C22⋊D11—22no—
476C2×C22⋊D11—22no—
477C2×C22⋊D11—22no—
478C2×C22⋊D11—22no—
479C2×C22⋊D11—22no—
480C2×C22⋊D11—22no—
481C2×C22⋊D11—22no—
482C2×C22⋊D11—22no—
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—41no—
492C2×C22⋊D11—41no—
493C2×C22⋊D11—41no—
494C2×C22⋊D11—41no—
495C2×C22⋊D11—41no—
496C2×C22⋊D11—41no—
497C2×C22⋊D11—41no—
498C2×C22⋊D11—41no—
499C2×C22⋊D11—41no—
500C2×C22⋊D11—41no—
501C2×C22⋊D11—41no—
502C2×C22⋊D11—41no—
503C2×C22⋊D11—41no—
504C2×C22⋊D11—41no—
505C2×C22⋊D11—41no—
506C2×C22⋊D11—41no—
507C2×C22⋊D11—41no—
508C2×C22⋊D11—41no—
509C2×C22⋊D11—41no—
510C2×C22⋊D11—41no—
511C2×C22⋊D11—416no—
512C22×Dic11—22no—
513C22×Dic11—22no—
514C22×Dic11—22no—
515C22×Dic11—41no—
516C22×Dic11—41no—
517C22×Dic11—41no—
518C22×Dic11C2411yescharacteristic
519C22×Dic11C2411yescharacteristic
520C22×Dic11C2411yescharacteristic
521C22×Dic11C2411yescharacteristic
522C22×Dic11C2411yescharacteristic
523C22×Dic11C2411yescharacteristic
524C22×Dic11C2411yescharacteristic
525C22×Dic11C2411yescharacteristic
526C22×Dic11C2411yescharacteristic
527C22×Dic11C2411yescharacteristic
528C22×Dic11C2411yescharacteristic
529C22×Dic11C2411yescharacteristic
530D4×D11—416no—
531D4×D11—416no—
532C2×D44—22no—
533C2×D44—22no—
534C2×D44—22no—
535C2×D44—22no—
536C2×D44—22no—
537C2×D44—22no—
538C2×D44—41no—
539C2×D44—41no—
540C2×D44—41no—
541C2×C4×D11—22no—
542C2×C4×D11—22no—
543C2×C4×D11—22no—
544C2×C4×D11—22no—
545C2×C4×D11—22no—
546C2×C4×D11—22no—
547C2×C4×D11—22no—
548C2×C4×D11—22no—
549C2×C4×D11—22no—
550C2×C4×D11—22no—
551C2×C4×D11—41no—
552C2×C4×D11—41no—
553C2×C4×D11—41no—
554C2×C4×D11—41no—
555C2×C4×D11—41no—
556C2×C4×D11—41no—
557C2×C4×D11—41no—
558C2×C4×D11—41no—
559C2×C4×D11—41no—
560C2×C4×D11—41no—
561C2×C4×D11—41no—
562C2×C4×D11—41no—
563C2×C4×D11—416no—
564C2×C4×D11C2×D414yes—
565C2×C4×D11C2×D414yes—
566C11×C4⋊C4—22no—
567C11×C4⋊C4—22no—
568C11×C4⋊C4—41no—
569C11×C4⋊C4—41no—
570C11×C22⋊C4—22no—
571C11×C22⋊C4—22no—
572C11×C22⋊C4—22no—
573C11×C22⋊C4—22no—
574C11×C22⋊C4—41no—
575C11×C22⋊C4—41no—
576C11×C22⋊C4—41no—
577C11×C22⋊C4—41no—
578C11×C22⋊C4—41no—
579C11×C22⋊C4—41no—
580C11×C22⋊C4—41no—
581C11×C22⋊C4—41no—
582C11×C22⋊C4—41no—
583C11×C22⋊C4—41no—
584C11×C22⋊C4—41no—
585C11×C22⋊C4—41no—
586C11×C22⋊C4C2×D414yes—
587C42×C11—41no—
588C22⋊Dic11—22no—
589C22⋊Dic11—22no—
590C22⋊Dic11—22no—
591C22⋊Dic11—22no—
592C22⋊Dic11—22no—
593C22⋊Dic11—22no—
594C22⋊Dic11—41no—
595C22⋊Dic11—41no—
596C22⋊Dic11—41no—
597C22⋊Dic11—41no—
598C22⋊Dic11—41no—
599C22⋊Dic11—41no—
600C22⋊Dic11—41no—
601C22⋊Dic11—41no—
602C22⋊Dic11—41no—
603C22⋊Dic11—41no—
604C22⋊Dic11—41no—
605C22⋊Dic11—41no—
606C22⋊Dic11—41no—
607C22⋊Dic11—41no—
608C22⋊Dic11C2×D414yes—
609(C2×D11)⋊C4—22no—
610(C2×D11)⋊C4—22no—
611(C2×D11)⋊C4—22no—
612(C2×D11)⋊C4—22no—
613(C2×D11)⋊C4—22no—
614(C2×D11)⋊C4—22no—
615(C2×D11)⋊C4—22no—
616(C2×D11)⋊C4—22no—
617(C2×D11)⋊C4—22no—
618(C2×D11)⋊C4—22no—
619(C2×D11)⋊C4—41no—
620(C2×D11)⋊C4—41no—
621(C2×D11)⋊C4—41no—
622(C2×D11)⋊C4—41no—
623(C2×D11)⋊C4—41no—
624(C2×D11)⋊C4—41no—
625(C2×D11)⋊C4—41no—
626(C2×D11)⋊C4—41no—
627(C2×D11)⋊C4—41no—
628(C2×D11)⋊C4—41no—
629(C2×D11)⋊C4—41no—
630(C2×D11)⋊C4—41no—
631(C2×D11)⋊C4—41no—
632(C2×D11)⋊C4—41no—
633(C2×D11)⋊C4C2×D414yes—
634(C2×D11)⋊C4C2×D414yes—
635C4⋊Dic11—22no—
636C4⋊Dic11—22no—
637C4⋊Dic11—22no—
638C4⋊Dic11—22no—
639C4⋊Dic11—41no—
640C4⋊Dic11—41no—
641C4⋊Dic11—41no—
642C4⋊Dic11—41no—
643Dic11⋊C4—22no—
644Dic11⋊C4—22no—
645Dic11⋊C4—22no—
646Dic11⋊C4—22no—
647Dic11⋊C4—22no—
648Dic11⋊C4—22no—
649Dic11⋊C4—41no—
650Dic11⋊C4—41no—
651Dic11⋊C4—41no—
652Dic11⋊C4—41no—
653Dic11⋊C4—41no—
654Dic11⋊C4—41no—
655C4×Dic11—41no—
656C4×Dic11—41no—
657C4×Dic11—41no—
658C2×#534—111no—
659C22×#123—111no—
660#2847—111no—
661#2847—111no—
662#2706—111no—
663#2706—111no—
664#2706—111no—
665#2706—111no—
666#2706—111no—
667#2706—111no—
668#2706—111no—
669#2706—111no—
670#2678—111no—
671#2678—111no—
672#2678—111no—
673#2678—111no—
674#2678—111no—
675#2678—111no—
676#2678—111no—
677#2678D1111yescharacteristic, complemented
678#2618—111no—
679#2618—111no—
680#2539—111no—
681#2539—111no—
682#2504—111no—
683#2504—111no—
684#2405—111no—
685#2405—111no—
686#2403—111no—
687#2403—111no—
688#2312—111no—
689C23×C11—21no—
690C23×C11—21no—
691C23×C11—21no—
692C23×C11—21no—
693C23×C11—21no—
694C23×C11—21no—
695C23×C11—21no—
696C23×C11—21no—
697C23×C11—21no—
698C23×C11—21no—
699C23×C11—21no—
700C23×C11—21no—
701C23×C11—21no—
702C23×C11—21no—
703C23×C11—21no—
704C23×C11—21no—
705C23×C11—21no—
706C23×C11—21no—
707C23×C11—21no—
708C23×C11—21no—
709C23×C11—21no—
710C23×C11—21no—
711C23×C11—21no—
712C23×C11—21no—
713C23×C11—21no—
714C23×C11—21no—
715C23×C11—21no—
716C23×C11—21no—
717C23×C11—21no—
718C23×C11—21no—
719C23×C11—21no—
720C23×C11—21no—
721C23×C11—21no—
722C23×C11—44no—
723C23×C11—82no—
724C23×C11—82no—
725C23×C11—82no—
726C23×C11—82no—
727C23×C11—82no—
728C23×C11—82no—
729C23×C11C22×D412yes—
730C23×C11H(5,𝔽2)12yes—
731C23×C11C2511yescharacteristic
732C22×D11—21no—
733C22×D11—21no—
734C22×D11—21no—
735C22×D11—21no—
736C22×D11—28no—
737C22×D11—21no—
738C22×D11—21no—
739C22×D11—21no—
740C22×D11—21no—
741C22×D11—21no—
742C22×D11—21no—
743C22×D11—21no—
744C22×D11—21no—
745C22×D11—21no—
746C22×D11—21no—
747C22×D11—21no—
748C22×D11—21no—
749C22×D11—28no—
750C22×D11—21no—
751C22×D11—21no—
752C22×D11—21no—
753C22×D11—21no—
754C22×D11—21no—
755C22×D11—21no—
756C22×D11—21no—
757C22×D11—44no—
758C22×D11—44no—
759C22×D11—44no—
760C22×D11—44no—
761C22×D11—44no—
762C22×D11—44no—
763C22×D11—44no—
764C22×D11—44no—
765C22×D11—44no—
766C22×D11—82no—
767C22×D11—82no—
768C22×D11—82no—
769C22×D11—82no—
770C22×D11—82no—
771C22×D11—82no—
772C22×D11—82no—
773C22×D11—82no—
774C22×D11—82no—
775C22×D11—82no—
776C22×D11C22×D412yes—
777C22×D11C22×D412yes—
778C22×D11H(5,𝔽2)12yes—
779C22×D11H(5,𝔽2)12yes—
780C22×D11H(5,𝔽2)12yes—
781D4×C11—44no—
782D4×C11—44no—
783D4×C11—82no—
784D4×C11—82no—
785D4×C11—82no—
786D4×C11—82no—
787D4×C11—82no—
788C2×C4×C11—21no—
789C2×C4×C11—21no—
790C2×C4×C11—21no—
791C2×C4×C11—21no—
792C2×C4×C11—21no—
793C2×C4×C11—21no—
794C2×C4×C11—21no—
795C2×C4×C11—21no—
796C2×C4×C11—21no—
797C2×C4×C11—21no—
798C2×C4×C11—21no—
799C2×C4×C11—21no—
800C2×C4×C11—21no—
801C2×C4×C11—21no—
802C2×C4×C11—21no—
803C2×C4×C11—21no—
804C2×C4×C11—21no—
805C2×C4×C11—21no—
806C2×C4×C11—21no—
807C2×C4×C11—21no—
808C2×C4×C11—21no—
809C2×C4×C11—21no—
810C2×C4×C11—21no—
811C2×C4×C11—21no—
812C2×C4×C11—21no—
813C2×C4×C11—21no—
814C2×C4×C11—21no—
815C2×C4×C11—21no—
816C2×C4×C11—44no—
817C2×C4×C11C22×D412yes—
818C2×C4×C11C22×D412yes—
819C22⋊D11—44no—
820C22⋊D11—44no—
821C22⋊D11—44no—
822C22⋊D11—44no—
823C22⋊D11—44no—
824C22⋊D11—44no—
825C22⋊D11—44no—
826C22⋊D11—44no—
827C22⋊D11—82no—
828C22⋊D11—82no—
829C22⋊D11—82no—
830C22⋊D11—82no—
831C22⋊D11—82no—
832C22⋊D11—82no—
833C2×Dic11—21no—
834C2×Dic11—21no—
835C2×Dic11—21no—
836C2×Dic11—21no—
837C2×Dic11—21no—
838C2×Dic11—21no—
839C2×Dic11—21no—
840C2×Dic11—21no—
841C2×Dic11—21no—
842C2×Dic11—21no—
843C2×Dic11—21no—
844C2×Dic11—21no—
845C2×Dic11—21no—
846C2×Dic11—21no—
847C2×Dic11—21no—
848C2×Dic11—21no—
849C2×Dic11—21no—
850C2×Dic11—21no—
851C2×Dic11—21no—
852C2×Dic11—21no—
853C2×Dic11—21no—
854C2×Dic11—21no—
855C2×Dic11—21no—
856C2×Dic11—21no—
857C2×Dic11—21no—
858C2×Dic11—21no—
859C2×Dic11—21no—
860C2×Dic11—21no—
861C2×Dic11—21no—
862C2×Dic11—21no—
863C2×Dic11—21no—
864C2×Dic11—21no—
865C2×Dic11—21no—
866C2×Dic11—21no—
867C2×Dic11—44no—
868C2×Dic11—44no—
869C2×Dic11C22×D412yes—
870C2×Dic11C22×D412yes—
871D44—44no—
872D44—44no—
873D44—82no—
874C4×D11—44no—
875C4×D11—44no—
876C4×D11—44no—
877C4×D11—44no—
878C4×D11—44no—
879C4×D11—44no—
880C4×D11—44no—
881C4×D11—44no—
882C23×D4—111no—
883C23×D4—111no—
884C23×D4—111no—
885C24×C4—111no—
886#534—228no—
887C2×#123—111no—
888C2×#123—111no—
889C2×#123—111no—
890C2×#123—111no—
891C2×#123—111no—
892C2×#123—111no—
893C2×#123—111no—
894C2×#123—111no—
895C2×#123—111no—
896C2×#123—111no—
897C2×#123—111no—
898C2×#123—111no—
899C2×#123—111no—
900C2×#123—111no—
901C2×#123—111no—
902C2×#123—228no—
903C2×#123C2×D1111yescharacteristic, complemented
904C2×#121—111no—
905C2×#121—111no—
906C2×#121—111no—
907C2×#121—111no—
908C2×#121—111no—
909C2×#121—111no—
910C2×#121—111no—
911C2×#121C2×D1111yescharacteristic, complemented
912C2×#120—111no—
913C2×#120—111no—
914C2×#120—111no—
915C2×#120—111no—
916C2×#120—111no—
917C2×#120—111no—
918C2×#120—111no—
919C2×#120—111no—
920C2×#120—111no—
921C2×#120—111no—
922C2×#120C2×D1111yescharacteristic, complemented
923C2×#120C2×D1111yescharacteristic, complemented
924C22×C4⋊C4—111no—
925C22×C4⋊C4—111no—
926C22×C22⋊C4—111no—
927C22×C22⋊C4—111no—
928C22×C22⋊C4—111no—
929#399—111no—
930#399—111no—
931#399—111no—
932#399—111no—
933#398—111no—
934#398—111no—
935#398—111no—
936#398—111no—
937#397—111no—
938#397—111no—
939#397—111no—
940#397—111no—
941#397—111no—
942#397—111no—
943#397—111no—
944#397C2×D1111yescharacteristic, complemented
945#396—111no—
946#396—111no—
947#396—111no—
948#396—111no—
949#396—111no—
950#396—111no—
951#396—111no—
952#396C2×D1111yescharacteristic, complemented
953#394—111no—
954#394—111no—
955#394—111no—
956#394—111no—
957#394—111no—
958#394—111no—
959#394—111no—
960#394—111no—
961#394—111no—
962#394—111no—
963#394C2×D1111yescharacteristic, complemented
964#394C2×D1111yescharacteristic, complemented
965#392—111no—
966#392—111no—
967#392—111no—
968#392—111no—
969#392—111no—
970#392—111no—
971#392—111no—
972#392—111no—
973#392—111no—
974#392—111no—
975#392C2×D1111yescharacteristic
976#392C2×D1111yescharacteristic, complemented
977#390—111no—
978#390—111no—
979#390—111no—
980#390—111no—
981#390—111no—
982#390—111no—
983#390—111no—
984#390—111no—
985#390—111no—
986#390—111no—
987#390C2×D1111yescharacteristic, complemented
988#390C2×D1111yescharacteristic, complemented
989#388—111no—
990#388—111no—
991#388—111no—
992#388—111no—
993#388—111no—
994#388—111no—
995#388—111no—
996#388C2×D1111yescharacteristic, complemented
997#386—111no—
998#386—111no—
999#386—111no—
1000#386—111no—
1001#386—111no—
1002#386—111no—
1003#386—111no—
1004#386—111no—
1005#386—111no—
1006#386—111no—
1007#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#386C2×D1111yescharacteristic, complemented
1017#385—111no—
1018#385—111no—
1019#385—111no—
1020#385—111no—
1021#382—111no—
1022#382—111no—
1023#382—111no—
1024#382—111no—
1025#380—111no—
1026#380—111no—
1027#380—111no—
1028#380—111no—
1029#380—111no—
1030#380—111no—
1031#379—111no—
1032#379—111no—
1033#379—111no—
1034#379—111no—
1035#379—111no—
1036#379C2×D1111yescharacteristic, complemented
1037C4×C22⋊C4—111no—
1038C4×C22⋊C4—111no—
1039C22×C11—22no—
1040C22×C11—22no—
1041C22×C11—22no—
1042C22×C11—22no—
1043C22×C11—22no—
1044C22×C11—22no—
1045C22×C11—41no—
1046C22×C11—41no—
1047C22×C11—41no—
1048C22×C11—41no—
1049C22×C11—41no—
1050C22×C11—41no—
1051C22×C11—41no—
1052C22×C11—41no—
1053C22×C11—41no—
1054C22×C11—41no—
1055C22×C11—41no—
1056C22×C11—41no—
1057C22×C11—41no—
1058C22×C11—41no—
1059C22×C11—41no—
1060C22×C11—41no—
1061C22×C11—41no—
1062C22×C11—41no—
1063C22×C11—41no—
1064C22×C11—41no—
1065C22×C11—41no—
1066C22×C11—41no—
1067C22×C11—41no—
1068C22×C11—41no—
1069C22×C11—41no—
1070C22×C11—41no—
1071C22×C11—41no—
1072C22×C11—41no—
1073C22×C11—41no—
1074C22×C11—88no—
1075C22×C11C23×D411yescharacteristic
1076C22×C11C2×H(5,𝔽2)11yescharacteristic
1077C22×C11C2×H(5,𝔽2)11yescharacteristic
1078C22×C11C2×H(5,𝔽2)11yescharacteristic
1079C22×C11C2×H(5,𝔽2)11yescharacteristic
1080C22×C11#58511yescharacteristic
1081C22×C11#58511yescharacteristic
1082C2×D11—22no—
1083C2×D11—22no—
1084C2×D11—22no—
1085C2×D11—22no—
1086C2×D11—22no—
1087C2×D11—22no—
1088C2×D11—22no—
1089C2×D11—22no—
1090C2×D11—22no—
1091C2×D11—22no—
1092C2×D11—22no—
1093C2×D11—22no—
1094C2×D11—416no—
1095C2×D11—41no—
1096C2×D11—41no—
1097C2×D11—41no—
1098C2×D11—41no—
1099C2×D11—41no—
1100C2×D11—41no—
1101C2×D11—41no—
1102C2×D11—41no—
1103C2×D11—41no—
1104C2×D11—41no—
1105C2×D11—41no—
1106C2×D11—41no—
1107C2×D11—41no—
1108C2×D11—41no—
1109C2×D11—41no—
1110C2×D11—88no—
1111C2×D11—88no—
1112C2×D11#53514yes—
1113C4×C11—22no—
1114C4×C11—22no—
1115C4×C11—41no—
1116C4×C11—41no—
1117C4×C11—41no—
1118C4×C11—41no—
1119C4×C11—41no—
1120C4×C11—41no—
1121C4×C11—41no—
1122C4×C11—41no—
1123Dic11—22no—
1124Dic11—22no—
1125Dic11—41no—
1126Dic11—41no—
1127Dic11—41no—
1128Dic11—41no—
1129Dic11—41no—
1130Dic11—41no—
1131Dic11—41no—
1132Dic11—41no—
1133Dic11—41no—
1134Dic11—41no—
1135C25—111no—
1136C25—111no—
1137C25—111no—
1138C25C22×D1111yescharacteristic
1139C22×D4—111no—
1140C22×D4—111no—
1141C22×D4—111no—
1142C22×D4—111no—
1143C22×D4—111no—
1144C22×D4—111no—
1145C22×D4—111no—
1146C22×D4—111no—
1147C22×D4—111no—
1148C22×D4—111no—
1149C22×D4—111no—
1150C22×D4—111no—
1151C22×D4—111no—
1152C22×D4—111no—
1153C22×D4—111no—
1154C22×D4—111no—
1155C22×D4—111no—
1156C22×D4—224no—
1157C22×D4—224no—
1158C22×D4—224no—
1159C22×D4—442no—
1160C22×D4—442no—
1161C22×D4—442no—
1162C22×D4—442no—
1163C22×D4—442no—
1164C22×D4—442no—
1165C22×D4C22×D1111yescharacteristic
1166C22×D4C22×D1111yescharacteristic
1167C22×D4C22×D1111yescharacteristic
1168C22×D4C22×D1111yescharacteristic
1169C22×D4C22×D1111yescharacteristic
1170C22×D4C22×D1111yescharacteristic
1171C22×D4C22×D1111yescharacteristic
1172C23×C4—111no—
1173C23×C4—111no—
1174C23×C4—111no—
1175C23×C4—111no—
1176C23×C4—111no—
1177C23×C4—111no—
1178C23×C4—111no—
1179C23×C4—111no—
1180C23×C4—111no—
1181C23×C4—111no—
1182C23×C4—224no—
1183C23×C4—442no—
1184C23×C4—442no—
1185C23×C4C22×D1111yescharacteristic
1186#123—24no—
1187#123—224no—
1188#123—224no—
1189#123—224no—
1190#123—224no—
1191#123—224no—
1192#123—224no—
1193#123—224no—
1194#123—224no—
1195#123—224no—
1196#123—224no—
1197#123—224no—
1198#123—442no—
1199#123—442no—
1200#123—442no—
1201#123—442no—
1202#121—42no—
1203#121—224no—
1204#121—224no—
1205#121—224no—
1206#121—224no—
1207#121—442no—
1208#121—442no—
1209#121—442no—
1210#120—24no—
1211#120—42no—
1212#120—224no—
1213#120—224no—
1214#120—224no—
1215#120—442no—
1216#120—442no—
1217#120—442no—
1218#120—442no—
1219#120—442no—
1220#120—442no—
1221#120—442no—
1222C2×C4⋊C4—111no—
1223C2×C4⋊C4—111no—
1224C2×C4⋊C4—111no—
1225C2×C4⋊C4—111no—
1226C2×C4⋊C4—111no—
1227C2×C4⋊C4—111no—
1228C2×C4⋊C4—111no—
1229C2×C4⋊C4—111no—
1230C2×C4⋊C4—111no—
1231C2×C4⋊C4—111no—
1232C2×C4⋊C4—111no—
1233C2×C4⋊C4—111no—
1234C2×C4⋊C4—111no—
1235C2×C4⋊C4—111no—
1236C2×C4⋊C4—111no—
1237C2×C4⋊C4—111no—
1238C2×C4⋊C4—111no—
1239C2×C4⋊C4—111no—
1240C2×C4⋊C4—111no—
1241C2×C4⋊C4—111no—
1242C2×C4⋊C4—224no—
1243C2×C4⋊C4—224no—
1244C2×C4⋊C4C22×D1111yescharacteristic
1245C2×C4⋊C4C22×D1111yescharacteristic
1246C2×C4⋊C4C22×D1111yescharacteristic
1247C2×C4⋊C4C22×D1111yescharacteristic
1248C2×C22⋊C4—111no—
1249C2×C22⋊C4—111no—
1250C2×C22⋊C4—111no—
1251C2×C22⋊C4—118no—
1252C2×C22⋊C4—111no—
1253C2×C22⋊C4—111no—
1254C2×C22⋊C4—111no—
1255C2×C22⋊C4—111no—
1256C2×C22⋊C4—111no—
1257C2×C22⋊C4—111no—
1258C2×C22⋊C4—111no—
1259C2×C22⋊C4—111no—
1260C2×C22⋊C4—111no—
1261C2×C22⋊C4—111no—
1262C2×C22⋊C4—111no—
1263C2×C22⋊C4—111no—
1264C2×C22⋊C4—111no—
1265C2×C22⋊C4—111no—
1266C2×C22⋊C4—111no—
1267C2×C22⋊C4—111no—
1268C2×C22⋊C4—111no—
1269C2×C22⋊C4—111no—
1270C2×C22⋊C4—111no—
1271C2×C22⋊C4—111no—
1272C2×C22⋊C4—111no—
1273C2×C22⋊C4—111no—
1274C2×C22⋊C4—111no—
1275C2×C22⋊C4—111no—
1276C2×C22⋊C4—111no—
1277C2×C22⋊C4—111no—
1278C2×C22⋊C4—111no—
1279C2×C22⋊C4—111no—
1280C2×C22⋊C4—111no—
1281C2×C22⋊C4—111no—
1282C2×C22⋊C4—111no—
1283C2×C22⋊C4—111no—
1284C2×C22⋊C4—111no—
1285C2×C22⋊C4—111no—
1286C2×C22⋊C4—111no—
1287C2×C22⋊C4—111no—
1288C2×C22⋊C4—111no—
1289C2×C22⋊C4—111no—
1290C2×C22⋊C4—111no—
1291C2×C22⋊C4—111no—
1292C2×C22⋊C4—111no—
1293C2×C22⋊C4—111no—
1294C2×C22⋊C4—111no—
1295C2×C22⋊C4—111no—
1296C2×C22⋊C4—224no—
1297C2×C22⋊C4—224no—
1298C2×C22⋊C4C22×D1111yescharacteristic
1299C2×C22⋊C4C22×D1111yescharacteristic
1300C2×C22⋊C4C22×D1111yescharacteristic
1301C2×C22⋊C4C22×D1111yescharacteristic
1302C2×C22⋊C4C22×D1111yescharacteristic
1303C2×C22⋊C4C22×D1111yescharacteristic
1304C2×C22⋊C4C22×D1111yescharacteristic
1305C2×C22⋊C4C22×D1111yescharacteristic
1306C2×C22⋊C4C22×D1111yescharacteristic
1307C2×C22⋊C4C22×D1111yescharacteristic
1308C2×C22⋊C4C22×D1111yescharacteristic
1309C2×C22⋊C4C22×D1111yescharacteristic
1310C2×C22⋊C4C22×D1111yescharacteristic
1311C2×C22⋊C4C22×D1111yescharacteristic
1312C2×C22⋊C4C22×D1111yescharacteristic
1313C2×C22⋊C4C22×D1111yescharacteristic
1314C2×C22⋊C4C22×D1111yescharacteristic
1315C2×C42—111no—
1316C2×C42—111no—
1317C2×C42—111no—
1318C2×C42C22×D1111yescharacteristic
1319#95—111no—
1320#95—111no—
1321#95—111no—
1322#95—111no—
1323#95—111no—
1324#95—111no—
1325#95—111no—
1326#95—111no—
1327#95—111no—
1328#95—111no—
1329#95—111no—
1330#95—111no—
1331#95—111no—
1332#95—111no—
1333#95—111no—
1334#95—111no—
1335#95—111no—
1336#95—111no—
1337#95—111no—
1338#95—111no—
1339#95C22×D1111yescharacteristic
1340#95C22×D1111yescharacteristic
1341#95C22×D1111yescharacteristic
1342#95C22×D1111yescharacteristic
1343C2×C11—42no—
1344C2×C11—42no—
1345C2×C11—81no—
1346C2×C11—81no—
1347C2×C11—81no—
1348C2×C11C2×#53511yescharacteristic
1349C2×C11#348411yescharacteristic
1350C2×C11#348511yescharacteristic
1351C2×C11#353411yescharacteristic
1352C2×C11#353411yescharacteristic
1353C2×C11#353411yescharacteristic
1354C2×C11#353411yescharacteristic
1355D11—24no—
1356D11—42no—
1357D11—42no—
1358D11—81no—
1359C24—22no—
1360C24—41no—
1361C24—41no—
1362C24—41no—
1363C24—41no—
1364C24—41no—
1365C24—41no—
1366C24—111no—
1367C24—111no—
1368C24—111no—
1369C24—114no—
1370C24—111no—
1371C24—222no—
1372C24—222no—
1373C24—222no—
1374C24—222no—
1375C24—222no—
1376C24—222no—
1377C24—222no—
1378C24—222no—
1379C24—441no—
1380C24—441no—
1381C24—441no—
1382C24—441no—
1383C24—441no—
1384C24—441no—
1385C24—441no—
1386C24—441no—
1387C24—441no—
1388C24—441no—
1389C24—441no—
1390C24—441no—
1391C24C23×D1111yescharacteristic
1392C24C23×D1111yescharacteristic
1393C24C23×D1111yescharacteristic
1394C24C23×D1111yescharacteristic
1395C24C23×D1111yescharacteristic
1396C2×D4—22no—
1397C2×D4—22no—
1398C2×D4—22no—
1399C2×D4—22no—
1400C2×D4—22no—
1401C2×D4—22no—
1402C2×D4—22no—
1403C2×D4—22no—
1404C2×D4—41no—
1405C2×D4—41no—
1406C2×D4—41no—
1407C2×D4—41no—
1408C2×D4—41no—
1409C2×D4—41no—
1410C2×D4—41no—
1411C2×D4—41no—
1412C2×D4—41no—
1413C2×D4—41no—
1414C2×D4—41no—
1415C2×D4—41no—
1416C2×D4—41no—
1417C2×D4—222no—
1418C2×D4—222no—
1419C2×D4—222no—
1420C2×D4—222no—
1421C2×D4—222no—
1422C2×D4—222no—
1423C2×D4—222no—
1424C2×D4—222no—
1425C2×D4—222no—
1426C2×D4—222no—
1427C2×D4—222no—
1428C2×D4—222no—
1429C2×D4—222no—
1430C2×D4—222no—
1431C2×D4—222no—
1432C2×D4—222no—
1433C2×D4—222no—
1434C2×D4—222no—
1435C2×D4—222no—
1436C2×D4—222no—
1437C2×D4—222no—
1438C2×D4—222no—
1439C2×D4—222no—
1440C2×D4—222no—
1441C2×D4—222no—
1442C2×D4—222no—
1443C2×D4—222no—
1444C2×D4—222no—
1445C2×D4—441no—
1446C2×D4—441no—
1447C2×D4—441no—
1448C2×D4—441no—
1449C2×D4—441no—
1450C2×D4—441no—
1451C2×D4—441no—
1452C2×D4—441no—
1453C2×D4—441no—
1454C2×D4—441no—
1455C2×D4—441no—
1456C2×D4—441no—
1457C2×D4—441no—
1458C2×D4—441no—
1459C2×D4—441no—
1460C2×D4—441no—
1461C2×D4—441no—
1462C2×D4—441no—
1463C2×D4—441no—
1464C2×D4—441no—
1465C2×D4—441no—
1466C2×D4—441no—
1467C2×D4—441no—
1468C2×D4—4416no—
1469C2×D4—4416no—
1470C2×D4—4416no—
1471C22×C4—22no—
1472C22×C4—22no—
1473C22×C4—41no—
1474C22×C4—111no—
1475C22×C4—111no—
1476C22×C4—114no—
1477C22×C4—114no—
1478C22×C4—111no—
1479C22×C4—111no—
1480C22×C4—111no—
1481C22×C4—111no—
1482C22×C4—111no—
1483C22×C4—111no—
1484C22×C4—111no—
1485C22×C4—111no—
1486C22×C4—111no—
1487C22×C4—111no—
1488C22×C4—222no—
1489C22×C4—222no—
1490C22×C4—222no—
1491C22×C4—222no—
1492C22×C4—222no—
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—441no—
1502C22×C4—441no—
1503C22×C4—441no—
1504C22×C4—441no—
1505C22×C4—441no—
1506C22×C4—441no—
1507C22×C4—441no—
1508C22×C4—441no—
1509C22×C4—441no—
1510C22×C4—441no—
1511C22×C4—441no—
1512C22×C4—441no—
1513C22×C4—4416no—
1514C22×C4—441no—
1515C22×C4—441no—
1516C22×C4—441no—
1517C22×C4C23×D1111yescharacteristic
1518C22×C4C23×D1111yescharacteristic
1519C22×C4C23×D1111yescharacteristic
1520C22×C4C23×D1111yescharacteristic
1521C22×C4C23×D1111yescharacteristic
1522C22×C4C23×D1111yescharacteristic
1523C22×C4C23×D1111yescharacteristic
1524C22×C4C23×D1111yescharacteristic
1525C22×C4C23×D1111yescharacteristic
1526C22×C4C23×D1111yescharacteristic
1527C4⋊C4—22no—
1528C4⋊C4—22no—
1529C4⋊C4—41no—
1530C4⋊C4—41no—
1531C4⋊C4—222no—
1532C4⋊C4—222no—
1533C4⋊C4—222no—
1534C4⋊C4—222no—
1535C4⋊C4—222no—
1536C4⋊C4—222no—
1537C4⋊C4—222no—
1538C4⋊C4—222no—
1539C4⋊C4—222no—
1540C4⋊C4—222no—
1541C4⋊C4—441no—
1542C4⋊C4—441no—
1543C4⋊C4—441no—
1544C4⋊C4—441no—
1545C4⋊C4—441no—
1546C4⋊C4—441no—
1547C4⋊C4—441no—
1548C4⋊C4—441no—
1549C4⋊C4—441no—
1550C4⋊C4—441no—
1551C22⋊C4—22no—
1552C22⋊C4—22no—
1553C22⋊C4—22no—
1554C22⋊C4—22no—
1555C22⋊C4—41no—
1556C22⋊C4—41no—
1557C22⋊C4—41no—
1558C22⋊C4—41no—
1559C22⋊C4—41no—
1560C22⋊C4—41no—
1561C22⋊C4—41no—
1562C22⋊C4—41no—
1563C22⋊C4—41no—
1564C22⋊C4—41no—
1565C22⋊C4—41no—
1566C22⋊C4—41no—
1567C22⋊C4—114no—
1568C22⋊C4—114no—
1569C22⋊C4—114no—
1570C22⋊C4—222no—
1571C22⋊C4—222no—
1572C22⋊C4—222no—
1573C22⋊C4—222no—
1574C22⋊C4—222no—
1575C22⋊C4—222no—
1576C22⋊C4—222no—
1577C22⋊C4—222no—
1578C22⋊C4—222no—
1579C22⋊C4—222no—
1580C22⋊C4—222no—
1581C22⋊C4—222no—
1582C22⋊C4—222no—
1583C22⋊C4—222no—
1584C22⋊C4—222no—
1585C22⋊C4—222no—
1586C22⋊C4—441no—
1587C22⋊C4—441no—
1588C22⋊C4—441no—
1589C22⋊C4—441no—
1590C22⋊C4—441no—
1591C22⋊C4—441no—
1592C22⋊C4—441no—
1593C22⋊C4—441no—
1594C22⋊C4—441no—
1595C22⋊C4—441no—
1596C22⋊C4—441no—
1597C22⋊C4—441no—
1598C22⋊C4—441no—
1599C22⋊C4—441no—
1600C22⋊C4—441no—
1601C22⋊C4—441no—
1602C22⋊C4—441no—
1603C22⋊C4—441no—
1604C22⋊C4—441no—
1605C22⋊C4—441no—
1606C22⋊C4—441no—
1607C22⋊C4—441no—
1608C22⋊C4—441no—
1609C22⋊C4—441no—
1610C22⋊C4—441no—
1611C22⋊C4—441no—
1612C22⋊C4—441no—
1613C22⋊C4—441no—
1614C22⋊C4D4×D1114yes—
1615C42—41no—
1616C42—441no—
1617C42—441no—
1618C42—441no—
1619C11#3672111yescharacteristic, complemented, Sylow
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—21no—
1626C23—21no—
1627C23—21no—
1628C23—21no—
1629C23—21no—
1630C23—21no—
1631C23—21no—
1632C23—21no—
1633C23—21no—
1634C23—21no—
1635C23—21no—
1636C23—21no—
1637C23—21no—
1638C23—21no—
1639C23—21no—
1640C23—21no—
1641C23—21no—
1642C23—21no—
1643C23—21no—
1644C23—21no—
1645C23—21no—
1646C23—21no—
1647C23—21no—
1648C23—21no—
1649C23—21no—
1650C23—21no—
1651C23—21no—
1652C23—21no—
1653C23—44no—
1654C23—82no—
1655C23—82no—
1656C23—82no—
1657C23—82no—
1658C23—82no—
1659C23—82no—
1660C23—112no—
1661C23—112no—
1662C23—112no—
1663C23—112no—
1664C23—112no—
1665C23—228no—
1666C23—228no—
1667C23—221no—
1668C23—221no—
1669C23—221no—
1670C23—221no—
1671C23—221no—
1672C23—221no—
1673C23—221no—
1674C23—221no—
1675C23—221no—
1676C23—221no—
1677C23—221no—
1678C23—221no—
1679C23—221no—
1680C23—221no—
1681C23—221no—
1682C23—221no—
1683C23—221no—
1684C23—221no—
1685C23—221no—
1686C23—221no—
1687C23—221no—
1688C23—221no—
1689C23—221no—
1690C23—444no—
1691C23—444no—
1692C23—444no—
1693C23—444no—
1694C23—444no—
1695C23—444no—
1696C23—444no—
1697C23—444no—
1698C23—444no—
1699C23—882no—
1700C23—882no—
1701C23—882no—
1702C23—882no—
1703C23—882no—
1704C23—882no—
1705C23—882no—
1706C23—882no—
1707C23—882no—
1708C23—882no—
1709C23C2×D4×D1112yes—
1710C23#6703712yes—
1711C23C24×D1111yescharacteristic
1712D4—44no—
1713D4—44no—
1714D4—82no—
1715D4—82no—
1716D4—82no—
1717D4—82no—
1718D4—82no—
1719D4—444no—
1720D4—444no—
1721D4—444no—
1722D4—444no—
1723D4—444no—
1724D4—444no—
1725D4—444no—
1726D4—444no—
1727D4—444no—
1728D4—444no—
1729D4—882no—
1730D4—882no—
1731D4—882no—
1732D4—882no—
1733D4—882no—
1734D4—882no—
1735D4—882no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—44no—
1765C2×C4—112no—
1766C2×C4—112no—
1767C2×C4—221no—
1768C2×C4—221no—
1769C2×C4—221no—
1770C2×C4—221no—
1771C2×C4—221no—
1772C2×C4—221no—
1773C2×C4—221no—
1774C2×C4—221no—
1775C2×C4—221no—
1776C2×C4—221no—
1777C2×C4—221no—
1778C2×C4—221no—
1779C2×C4—221no—
1780C2×C4—221no—
1781C2×C4—221no—
1782C2×C4—221no—
1783C2×C4—221no—
1784C2×C4—221no—
1785C2×C4—221no—
1786C2×C4—221no—
1787C2×C4—221no—
1788C2×C4—221no—
1789C2×C4—221no—
1790C2×C4—221no—
1791C2×C4—221no—
1792C2×C4—221no—
1793C2×C4—221no—
1794C2×C4—221no—
1795C2×C4—221no—
1796C2×C4—221no—
1797C2×C4—221no—
1798C2×C4—221no—
1799C2×C4—221no—
1800C2×C4—221no—
1801C2×C4—444no—
1802C2×C4—444no—
1803C2×C4—444no—
1804C2×C4—444no—
1805C2×C4—444no—
1806C2×C4—444no—
1807C2×C4—444no—
1808C2×C4—444no—
1809C2×C4—444no—
1810C2×C4—444no—
1811C2×C4C2×D4×D1112yes—
1812C2×C4C2×D4×D1112yes—
1813C22—22no—
1814C22—22no—
1815C22—22no—
1816C22—22no—
1817C22—22no—
1818C22—22no—
1819C22—41no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—41no—
1830C22—41no—
1831C22—41no—
1832C22—41no—
1833C22—41no—
1834C22—41no—
1835C22—41no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—41no—
1843C22—41no—
1844C22—41no—
1845C22—41no—
1846C22—41no—
1847C22—41no—
1848C22—88no—
1849C22—114no—
1850C22—222no—
1851C22—222no—
1852C22—222no—
1853C22—222no—
1854C22—222no—
1855C22—222no—
1856C22—222no—
1857C22—222no—
1858C22—222no—
1859C22—222no—
1860C22—222no—
1861C22—222no—
1862C22—4416no—
1863C22—441no—
1864C22—441no—
1865C22—441no—
1866C22—441no—
1867C22—441no—
1868C22—441no—
1869C22—441no—
1870C22—441no—
1871C22—441no—
1872C22—441no—
1873C22—441no—
1874C22—441no—
1875C22—441no—
1876C22—441no—
1877C22—441no—
1878C22—888no—
1879C22—888no—
1880C22C22×D4×D1111yescharacteristic
1881C22C2×#6703711yescharacteristic
1882C22#1062345311yescharacteristic
1883C22D11×H(5,𝔽2)11yescharacteristic
1884C22D11×H(5,𝔽2)11yescharacteristic
1885C22D11×H(5,𝔽2)11yescharacteristic
1886C22#1062345511yescharacteristic
1887C4—22no—
1888C4—22no—
1889C4—41no—
1890C4—41no—
1891C4—41no—
1892C4—41no—
1893C4—41no—
1894C4—41no—
1895C4—41no—
1896C4—41no—
1897C4—222no—
1898C4—222no—
1899C4—441no—
1900C4—441no—
1901C4—441no—
1902C4—441no—
1903C4—441no—
1904C4—441no—
1905C4—441no—
1906C4—441no—
1907C4—441no—
1908C4—441no—
1909C2—42no—
1910C2—42no—
1911C2—81no—
1912C2—81no—
1913C2—81no—
1914C2—224no—
1915C2—442no—
1916C2—442no—
1917C2—881no—
1918C2D11×#53511yescharacteristic
1919C2#1308224411yescharacteristic
1920C2#1308225311yescharacteristic
1921C2#1308279611yescharacteristic
1922C2#1308279711yescharacteristic
1923C2#1308279811yescharacteristic
1924C2#1308280511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2678C2
hypercenter#2678D11
hypocenterC11#36721
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2678

Complements

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

NH ≅ G/Ntype
1. C2×#10623120C2semidirect
2. C2×D11×#123C2semidirect
3. #13076897C2semidirect
4. #13076895C2semidirect
5. #13075311C2semidirect
6. #13075310C2semidirect
7. #13075309C2semidirect
8. #13075308C2semidirect
9. #13075302C2semidirect
10. #13075300C2semidirect
11. #13075299C2semidirect
12. #13075297C2semidirect
13. #13074948C2semidirect
14. #13074945C2semidirect
15. #13074944C2semidirect
16. #13074941C2semidirect
17. #13074938C2semidirect
18. #13074937C2semidirect
19. #13074934C2semidirect
20. #13074363C2semidirect
21. #13074357C2semidirect
22. #13073545C2semidirect
23. #13073541C2semidirect
24. #13073107C2semidirect
25. #13073103C2semidirect
26. #13071941C2semidirect
27. #13071938C2semidirect
28. #13071927C2semidirect
29. #13071925C2semidirect
30. #13071210C2semidirect
31. C11×#2678C2semidirect
35. C23×C4×D11C22semidirect
36. C2×C11×#123C22semidirect
37. C2×C11×#121C22semidirect
38. C2×C11×#120C22semidirect
39. C2×C11×#120C22semidirect
40. C2×#67006C22semidirect
41. C2×#67006C22semidirect
42. C2×#66992C22semidirect
45. C2×#66991C22semidirect
46. C2×#66990C22semidirect
47. C2×#66990C22semidirect
48. C2×#66990C22semidirect
49. C2×#66990C22semidirect
50. C2×#66990C22semidirect
51. C2×#66990C22semidirect
52. C2×#66988C22semidirect
53. C2×#66988C22semidirect
54. C2×#66982C22semidirect
57. C2×#66947C22semidirect
58. C2×#66947C22semidirect
59. C2×#66947C22semidirect
60. C2×C4⋊C4×D11C22semidirect
61. C2×C4⋊C4×D11C22semidirect
62. C2×#66939C22semidirect
63. C2×#66939C22semidirect
66. C2×#66937C22semidirect
67. C2×#66936C22semidirect
68. C2×#66936C22semidirect
69. C2×#66936C22semidirect
70. C2×#66936C22semidirect
71. C2×#66936C22semidirect
72. C2×#66936C22semidirect
73. C2×#66936C22semidirect
74. C2×#66935C22semidirect
75. C2×#66935C22semidirect
78. C2×C22⋊C4×D11C22semidirect
79. C11×#397C22semidirect
80. C11×#396C22semidirect
81. C11×#394C22semidirect
82. C11×#394C22semidirect
84. C11×#392C22semidirect
85. C11×#390C22semidirect
86. C11×#390C22semidirect
87. C11×#388C22semidirect
88. C11×#386C22semidirect
89. C11×#379C22semidirect
90. #10622860C22semidirect
95. #10622836C22semidirect
96. #10622836C22semidirect
97. #10622835C22semidirect
98. #10622835C22semidirect
99. #10622834C22semidirect
100. #10622834C22semidirect
101. #10622834C22semidirect
102. #10622833C22semidirect
103. #10622833C22semidirect
104. #10622833C22semidirect
105. #10622826C22semidirect
106. #10622825C22semidirect
107. #10622607C22semidirect
108. #10622607C22semidirect
109. #10622606C22semidirect
110. #10622605C22semidirect
111. #10622603C22semidirect
112. #10622602C22semidirect
113. #10622600C22semidirect
114. #10622600C22semidirect
115. #10622597C22semidirect
116. #10622596C22semidirect
117. #10622590C22semidirect
118. #10622574C22semidirect
119. #10622574C22semidirect
120. #10622574C22semidirect
121. #10622574C22semidirect
125. #10622573C22semidirect
126. #10622572C22semidirect
127. #10622572C22semidirect
128. #10622572C22semidirect
129. #10622572C22semidirect
130. #10622571C22semidirect
131. #10622570C22semidirect
132. #10622570C22semidirect
133. #10622570C22semidirect
134. #10622570C22semidirect
135. #10622570C22semidirect
136. #10622570C22semidirect
137. #10622569C22semidirect
138. #10622569C22semidirect
139. #10622569C22semidirect
140. #10622569C22semidirect
141. #10622569C22semidirect
142. #10622569C22semidirect
143. #10622569C22semidirect
144. #10622569C22semidirect
145. #10622569C22semidirect
146. #10622569C22semidirect
149. #10622568C22semidirect
150. #10622568C22semidirect
151. #10622566C22semidirect
152. #10622565C22semidirect
153. #10622565C22semidirect
154. #10622565C22semidirect
155. #10622565C22semidirect
156. #10622564C22semidirect
157. #10622563C22semidirect
158. #10622562C22semidirect
159. #10622562C22semidirect
160. #10622561C22semidirect
161. #10622561C22semidirect
162. #10622561C22semidirect
163. #10622561C22semidirect
164. #10622561C22semidirect
165. #10622559C22semidirect
166. #10622558C22semidirect
167. #10622557C22semidirect
168. #10622555C22semidirect
169. #10622553C22semidirect
170. #10622552C22semidirect
171. C4×(C2×D11)⋊C4C22semidirect
172. #10622549C22semidirect
173. #10622290C22semidirect
174. #10622287C22semidirect
175. #10622283C22semidirect
176. #10622282C22semidirect
177. #10622281C22semidirect
178. #10622280C22semidirect
179. #10622280C22semidirect
180. #10622279C22semidirect
181. #10622278C22semidirect
182. #10622278C22semidirect
183. #10622278C22semidirect
184. #10622278C22semidirect
185. #10622274C22semidirect
186. #10622270C22semidirect
187. #10622263C22semidirect
188. #10622263C22semidirect
372. C22⋊C4×D11D4semidirect
677. #2678D11semidirect
903. C2×#123C2×D11semidirect
911. C2×#121C2×D11semidirect
922. C2×#120C2×D11semidirect
923. C2×#120C2×D11semidirect
944. #397C2×D11semidirect
952. #396C2×D11semidirect
963. #394C2×D11semidirect
964. #394C2×D11semidirect
976. #392C2×D11semidirect
987. #390C2×D11semidirect
988. #390C2×D11semidirect
996. #388C2×D11semidirect
1016. #386C2×D11semidirect
1036. #379C2×D11semidirect
1619. C11#36721semidirect

Maximal subgroups

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

subgroupindex
C2×#106231202
C2×D11×#1232
#130768972
#130768952
#130753112
#130753102
#130753092
#130753082
#130753022
#130753002
#130752992
#130752972
#130749482
#130749452
#130749442
#130749412
#130749382
#130749372
#130749342
#130743632
#130743572
#130735452
#130735412
#130731072
#130731032
#130719412
#130719382
#130719272
#130719252
#130712102
C11×#26782
#3672111