Finite Group Databasebeta

← #14926764

Subgroups — #14926764

Order 2816.

2404 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623238C211yesmaximal, characteristic, complemented
2C2×#10623144C211yesmaximal, characteristic, complemented
3#13076987C211yesmaximal, characteristic, complemented
4#13076984C211yesmaximal, characteristic, complemented
5#13076944C211yesmaximal, characteristic, complemented
6#13076913C211yesmaximal, characteristic, complemented
7#13074783C211yesmaximal, characteristic, complemented
8#13074763C211yesmaximal, characteristic, complemented
9#13074761C211yesmaximal, characteristic, complemented
10#13074743C211yesmaximal, characteristic, complemented
11#13073762C211yesmaximal, characteristic, complemented
12#13073730C211yesmaximal, characteristic, complemented
13#13073709C211yesmaximal, characteristic, complemented
14#13073626C211yesmaximal, characteristic, complemented
15#13073575C211yesmaximal, characteristic, complemented
16#13073545C211yesmaximal, characteristic, complemented
17#13073504C211yesmaximal, characteristic, complemented
18#13073324C211yesmaximal, characteristic, complemented
19#13073286C211yesmaximal, characteristic, complemented
20#13072937C211yesmaximal, characteristic, complemented
21#13072743C211yesmaximal, characteristic, complemented
22#13072627C211yesmaximal, characteristic, complemented
23#13072580C211yesmaximal, characteristic, complemented
24#13072168C211yesmaximal, characteristic, complemented
25#13072153C211yesmaximal, characteristic, complemented
26#13071283C211yesmaximal, characteristic, complemented
27#13071278C211yesmaximal, characteristic, complemented
28C4×#66937C211yesmaximal, characteristic, complemented
29D11×#388C211yesmaximal, characteristic, complemented
30C4×(C22⋊D11)⋊C4C211yesmaximal, characteristic, complemented
31C11×#2559C211yesmaximal, characteristic, complemented
32C2×C11×#126C2211yescharacteristic, complemented
33C2×C11×#121C2211yescharacteristic
34C2×#66992C2211yescharacteristic
35C2×#66992C2211yescharacteristic
36C2×#66991C2211yescharacteristic
37C2×#66990C2211yescharacteristic
38C2×#66990C2211yescharacteristic
39C2×#66989C2211yescharacteristic
40C2×#66988C2211yescharacteristic
41C2×#66982C2211yescharacteristic
42C2×C4×C22⋊D11C2211yescharacteristic
43C2×C4×C22⋊D11C2211yescharacteristic
44C2×C4×C22⋊D11C2211yescharacteristic, complemented
45C22×C4×Dic11C2211yescharacteristic, complemented
46#10623238—28no—
47#10623144—28no—
48C2×#66951C2211yescharacteristic
49C2×#66951C2211yescharacteristic, complemented
50C2×#66950C2211yescharacteristic
51C2×#66949C2211yescharacteristic
52C2×#66949C2211yescharacteristic, complemented
53C2×#66947C2211yescharacteristic
54C2×C4⋊C4×D11C2211yescharacteristic
55C2×#66943C2211yescharacteristic, complemented
56C2×#66939C2211yescharacteristic, complemented
57C2×#66938C2211yescharacteristic
58C2×#66938C2211yescharacteristic
59C2×#66937C2211yescharacteristic
60C2×#66937C2211yescharacteristic
61C2×#66936C2211yescharacteristic
62C2×#66936C2211yescharacteristic
63C2×#66936C2211yescharacteristic, complemented
64C2×#66935C2211yescharacteristic
65C2×(C22⋊D11)⋊C4C2211yescharacteristic
66C2×(C22⋊D11)⋊C4C2211yescharacteristic
67C2×C22⋊C4×D11C2211yescharacteristic
68C2×C22⋊C4×D11C2211yescharacteristic
69C2×C22⋊C4×D11C2211yescharacteristic
70C2×#66932C2211yescharacteristic
71C2×#66931C2211yescharacteristic, complemented
72C2×C4×D44C2211yescharacteristic
73C2×C42×D11C2211yescharacteristic
74C2×#66923C2211yescharacteristic, complemented
75C11×#400C2211yescharacteristic, complemented
76C11×#394C2211yescharacteristic
77C11×#394C2211yescharacteristic
78C11×#394C2211yescharacteristic, complemented
79C11×#390C2211yescharacteristic
80C11×#389C2211yescharacteristic, complemented
81C11×#388C2211yescharacteristic
82C11×#388C2211yescharacteristic
83C11×#386C2211yescharacteristic
84C11×#386C2211yescharacteristic, complemented
85C11×#385C2211yescharacteristic, complemented
86C4×C11×C22⋊C4C2211yescharacteristic, complemented
87C4×C11×C22⋊C4C2211yescharacteristic, complemented
88#10622836C2211yescharacteristic
89#10622836C2211yescharacteristic, complemented
90#10622835C2211yescharacteristic
91#10622834C2211yescharacteristic
92#10622833C2211yescharacteristic, complemented
93#10622826C2211yescharacteristic
94#10622826C2211yescharacteristic, complemented
95#10622823C2211yescharacteristic, complemented
96#10622605C2211yescharacteristic
97#10622603C2211yescharacteristic
98#10622603C2211yescharacteristic
99#10622603C2211yescharacteristic, complemented
100#10622602C2211yescharacteristic
101#10622602C2211yescharacteristic
102#10622601C2211yescharacteristic
103#10622601C2211yescharacteristic
104#10622598C2211yescharacteristic, complemented
105#10622597C2211yescharacteristic, complemented
106#10622596C2211yescharacteristic, complemented
107#10622592C2211yescharacteristic, complemented
108#10622592C2211yescharacteristic, complemented
109#10622591C2211yescharacteristic, complemented
110#10622587C2211yescharacteristic, complemented
111#10622586C2211yescharacteristic, complemented
112#10622574C2211yescharacteristic
113#10622573C2211yescharacteristic
114#10622573C2211yescharacteristic
115#10622572C2211yescharacteristic
116#10622572C2211yescharacteristic
117#10622572C2211yescharacteristic, complemented
118#10622571C2211yescharacteristic
119#10622570C2211yescharacteristic
120#10622570C2211yescharacteristic
121#10622570C2211yescharacteristic
122#10622570C2211yescharacteristic, complemented
123#10622569C2211yescharacteristic
124#10622569C2211yescharacteristic
125#10622569C2211yescharacteristic
126#10622568C2211yescharacteristic
127#10622566C2211yescharacteristic, complemented
128#10622565C2211yescharacteristic, complemented
129#10622564C2211yescharacteristic
130#10622564C2211yescharacteristic
131#10622564C2211yescharacteristic
132#10622564C2211yescharacteristic, complemented
133#10622564C2211yescharacteristic, complemented
134#10622562C2211yescharacteristic
135#10622561C2211yescharacteristic
136#10622561C2211yescharacteristic, complemented
137#10622560C2211yescharacteristic
138#10622558C2211yescharacteristic
139#10622557C2211yescharacteristic
140#10622557C2211yescharacteristic
141#10622557C2211yescharacteristic
142#10622557C2211yescharacteristic, complemented
143#10622557C2211yescharacteristic, complemented
144#10622557C2211yescharacteristic, complemented
145#10622555C2211yescharacteristic, complemented
146C22⋊C4×Dic11C2211yescharacteristic, complemented
147C22⋊C4×Dic11C2211yescharacteristic, complemented
148#10622553C2211yescharacteristic
149#10622553C2211yescharacteristic
150#10622552C2211yescharacteristic
151C4×(C2×D11)⋊C4C2211yescharacteristic
152C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
153C4×Dic11⋊C4C2211yescharacteristic, complemented
154C4×Dic11⋊C4C2211yescharacteristic, complemented
155C42×Dic11C2211yescharacteristic, complemented
156#10622542C2211yescharacteristic, complemented
157#10622289C2211yescharacteristic
158#10622289C2211yescharacteristic
159#10622288C2211yescharacteristic, complemented
160#10622287C2211yescharacteristic
161#10622286C2211yescharacteristic, complemented
162#10622283C2211yescharacteristic
163#10622283C2211yescharacteristic
164#10622283C2211yescharacteristic
165#10622283C2211yescharacteristic, complemented
166#10622282C2211yescharacteristic
167#10622282C2211yescharacteristic, complemented
168#10622282C2211yescharacteristic, complemented
169#10622280C2211yescharacteristic
170#10622279C2211yescharacteristic
171#10622279C2211yescharacteristic
172#10622278C2211yescharacteristic
173#10622278C2211yescharacteristic
174#10622278C2211yescharacteristic
175#10622277C2211yescharacteristic
176D11×#95C2211yescharacteristic
177D11×#95C2211yescharacteristic
178#10622271C2211yescharacteristic, complemented
179#10622270C2211yescharacteristic, complemented
180#10622270C2211yescharacteristic, complemented
181#10622266C2211yescharacteristic, complemented
182#10622263C2211yescharacteristic, complemented
183#10622262C2211yescharacteristic, complemented
184#10622262C2211yescharacteristic, complemented
185#10622260C2211yescharacteristic, complemented
186#10622260C2211yescharacteristic, complemented
187#10622260C2211yescharacteristic, complemented
188#10622259C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C22×C22⋊D11C2311yescharacteristic
202C23×Dic11C2311yescharacteristic
203C23×Dic11C2311yescharacteristic
204C22×D44C2311yescharacteristic
205C22×D44C2311yescharacteristic
206C22×C4×D11C2311yescharacteristic
207C22×C4×D11C2311yescharacteristic
208C22×C4×D11C2311yescharacteristic
209C22×C4×D11C2311yescharacteristic
210C22×C4×D11C2311yescharacteristic
211C22×C4×D11C2311yescharacteristic
212C22×C4×D11C2311yescharacteristic
213C22×Dic22C2311yescharacteristic
214C22×Dic22C2311yescharacteristic
215C11×#126—24no—
216C11×#121—24no—
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C4⋊C4C2311yescharacteristic
219C2×C11×C4⋊C4C2311yescharacteristic
220C2×C11×C4⋊C4C2311yescharacteristic
221C2×C11×C4⋊C4C2311yescharacteristic
222C2×C11×C4⋊C4C2311yescharacteristic
223C2×C11×C22⋊C4C2311yescharacteristic
224C2×C11×C22⋊C4C2311yescharacteristic
225C2×C11×C22⋊C4C2311yescharacteristic
226C2×C11×C22⋊C4C2311yescharacteristic
227C2×C11×C22⋊C4C2311yescharacteristic
228C2×C11×C22⋊C4C2311yescharacteristic
229C2×C11×C22⋊C4C2311yescharacteristic
230C2×C11×C22⋊C4C2311yescharacteristic
231C2×C11×C22⋊C4C2311yescharacteristic
232C2×C11×C22⋊C4C2311yescharacteristic
233C2×C11×C22⋊C4C2311yescharacteristic
234C2×C11×C22⋊C4C2311yescharacteristic
235C2×C11×C22⋊C4C2311yescharacteristic
236C2×C42×C11C2311yescharacteristic
237C2×C42×C11C2311yescharacteristic
238C2×C42×C11C2311yescharacteristic
239C2×C22⋊Dic11C2311yescharacteristic
240C2×C22⋊Dic11C2311yescharacteristic
241C2×C22⋊Dic11C2311yescharacteristic
242C2×C22⋊Dic11C2311yescharacteristic
243C2×C22⋊Dic11C2311yescharacteristic
244C2×C22⋊Dic11C2311yescharacteristic
245C2×C22⋊Dic11C2311yescharacteristic
246C2×C22⋊Dic11C2311yescharacteristic
247C2×C22⋊Dic11C2311yescharacteristic
248C2×C22⋊Dic11C2311yescharacteristic
249C2×C22⋊Dic11C2311yescharacteristic
250C2×C22⋊Dic11C2311yescharacteristic
251C2×C22⋊Dic11C2311yescharacteristic
252C2×C22⋊Dic11C2311yescharacteristic
253#66992—24no—
254#66992—42no—
255#66991—24no—
256#66990—24no—
257#66990—24no—
258#66989—24no—
259#66988—24no—
260#66982—24no—
261C4×C22⋊D11—24no—
262C4×C22⋊D11—24no—
263C4×C22⋊D11—42no—
264C2×(C2×D11)⋊C4C2311yescharacteristic
265C2×(C2×D11)⋊C4C2311yescharacteristic
266C2×(C2×D11)⋊C4C2311yescharacteristic
267C2×(C2×D11)⋊C4C2311yescharacteristic
268C2×(C2×D11)⋊C4C2311yescharacteristic
269C2×(C2×D11)⋊C4C2311yescharacteristic
270C2×(C2×D11)⋊C4C2311yescharacteristic
271C2×(C2×D11)⋊C4C2311yescharacteristic
272C2×(C2×D11)⋊C4C2311yescharacteristic
273C2×(C2×D11)⋊C4C2311yescharacteristic
274C2×(C2×D11)⋊C4C2311yescharacteristic
275C2×(C2×D11)⋊C4C2311yescharacteristic
276C2×(C2×D11)⋊C4C2311yescharacteristic
277C2×(C2×D11)⋊C4C2311yescharacteristic
278C2×(C2×D11)⋊C4C2311yescharacteristic
279C2×(C2×D11)⋊C4C2311yescharacteristic
280C2×(C2×D11)⋊C4C2311yescharacteristic
281C2×(C2×D11)⋊C4C2311yescharacteristic
282C2×(C2×D11)⋊C4C2311yescharacteristic
283C2×(C2×D11)⋊C4C2311yescharacteristic
284C2×(C2×D11)⋊C4C2311yescharacteristic
285C2×(C2×D11)⋊C4C2311yescharacteristic
286C2×(C2×D11)⋊C4C2311yescharacteristic
287C2×(C2×D11)⋊C4C2311yescharacteristic
288C2×(C2×D11)⋊C4C2311yescharacteristic
289C2×C4⋊Dic11C2311yescharacteristic
290C2×C4⋊Dic11C2311yescharacteristic
291C2×C4⋊Dic11C2311yescharacteristic
292C2×C4⋊Dic11C2311yescharacteristic
293C2×C4⋊Dic11C2311yescharacteristic
294C2×C4⋊Dic11C2311yescharacteristic
295C2×C4⋊Dic11C2311yescharacteristic
296C2×Dic11⋊C4C2311yescharacteristic
297C2×Dic11⋊C4C2311yescharacteristic
298C2×Dic11⋊C4C2311yescharacteristic
299C2×Dic11⋊C4C2311yescharacteristic
300C2×Dic11⋊C4C2311yescharacteristic
301C2×Dic11⋊C4C2311yescharacteristic
302C2×Dic11⋊C4C2311yescharacteristic
303C2×Dic11⋊C4C2311yescharacteristic
304C2×Dic11⋊C4C2311yescharacteristic
305C2×Dic11⋊C4C2311yescharacteristic
306C2×Dic11⋊C4C2311yescharacteristic
307C2×Dic11⋊C4C2311yescharacteristic
308C2×Dic11⋊C4C2311yescharacteristic
309C2×Dic11⋊C4C2311yescharacteristic
310C2×Dic11⋊C4C2311yescharacteristic
311C2×Dic11⋊C4C2311yescharacteristic
312C2×Dic11⋊C4C2311yescharacteristic
313C2×C4×Dic11—42no—
314C2×C4×Dic11C2311yescharacteristic
315C2×C4×Dic11C2311yescharacteristic
316C2×C4×Dic11C2311yescharacteristic
317C2×C4×Dic11C2311yescharacteristic
318C2×C4×Dic11C2311yescharacteristic
319C2×C4×Dic11C2311yescharacteristic
320C2×C4×Dic11C2311yescharacteristic
321C2×C4×Dic11C2311yescharacteristic
322C2×C4×Dic11C2311yescharacteristic
323C2×C4×Dic11C2311yescharacteristic
324C2×C4×Dic11C2311yescharacteristic
325C2×C4×Dic11C2311yescharacteristic
326#66951—24no—
327#66951—24no—
328#66950—24no—
329#66949—24no—
330#66949—24no—
331#66947—24no—
332C4⋊C4×D11—24no—
333#66943—24no—
334#66939—24no—
335#66938—24no—
336#66938—42no—
337#66937—24no—
338#66937—24no—
339#66936—24no—
340#66936—24no—
341#66936—24no—
342#66935—24no—
343(C22⋊D11)⋊C4—24no—
344(C22⋊D11)⋊C4D418yescomplemented
345C22⋊C4×D11—24no—
346C22⋊C4×D11—24no—
347C22⋊C4×D11—42no—
348#66932—24no—
349#66931—24no—
350C4×D44—24no—
351C42×D11—42no—
352#66923—24no—
353C11×#95C2311yescharacteristic
354C11×#95C2311yescharacteristic
355C11×#95C2311yescharacteristic
356C11×#95C2311yescharacteristic
357C11×#95C2311yescharacteristic
358C11×#95C2311yescharacteristic
359C11×#95C2311yescharacteristic
360C11×#95C2311yescharacteristic
361C11⋊#95C2311yescharacteristic
362C11⋊#95C2311yescharacteristic
363C11⋊#95C2311yescharacteristic
364C11⋊#95C2311yescharacteristic
365C11⋊#95C2311yescharacteristic
366C11⋊#95C2311yescharacteristic
367C11⋊#95C2311yescharacteristic
368C11⋊#95C2311yescharacteristic
369C11⋊#95C2311yescharacteristic
370C11⋊#95C2311yescharacteristic
371C11⋊#95C2311yescharacteristic
372C11⋊#95C2311yescharacteristic
373C11⋊#95C2311yescharacteristic
374C11⋊#95C2311yescharacteristic
375C11⋊#95C2311yescharacteristic
376C11⋊#95C2311yescharacteristic
377C11⋊#95C2311yescharacteristic
378C11⋊#95C2311yescharacteristic
379C11⋊#95C2311yescharacteristic
380C11⋊#95C2311yescharacteristic
381C11⋊#95C2311yescharacteristic
382C11⋊#95C2311yescharacteristic
383C11⋊#95C2311yescharacteristic
384C11⋊#95C2311yescharacteristic
385#35009—111nomaximal, Sylow
386C24×C11C2411yescharacteristic
387C24×C11C2411yescharacteristic
388C24×C11C2411yescharacteristic
389C23×D11—22no—
390C23×D11—22no—
391C23×D11—22no—
392C23×D11—41no—
393C23×D11—41no—
394C23×D11—41no—
395C23×D11—41no—
396C23×D11C2411yescharacteristic
397C23×D11C2411yescharacteristic
398C23×D11C2411yescharacteristic
399C2×D4×C11—22no—
400C2×D4×C11—22no—
401C2×D4×C11—22no—
402C2×D4×C11—41no—
403C2×D4×C11—41no—
404C2×D4×C11—41no—
405C2×D4×C11—41no—
406C2×D4×C11—41no—
407C2×D4×C11—41no—
408C22×C4×C11—22no—
409C22×C4×C11—22no—
410C22×C4×C11—41no—
411C22×C4×C11—41no—
412C22×C4×C11—41no—
413C22×C4×C11—41no—
414C22×C4×C11C2411yescharacteristic
415C22×C4×C11C2411yescharacteristic
416C22×C4×C11C2411yescharacteristic
417C22×C4×C11C2411yescharacteristic
418C22×C4×C11C2411yescharacteristic
419C22×C4×C11C2411yescharacteristic
420C22×C4×C11C2411yescharacteristic
421C22×C4×C11C2411yescharacteristic
422C22×C4×C11C2411yescharacteristic
423C22×C4×C11C2411yescharacteristic
424C22×C4×C11C2411yescharacteristic
425C22×C4×C11C2411yescharacteristic
426C2×C22⋊D11—22no—
427C2×C22⋊D11—22no—
428C2×C22⋊D11—22no—
429C2×C22⋊D11—22no—
430C2×C22⋊D11—22no—
431C2×C22⋊D11—22no—
432C2×C22⋊D11—22no—
433C2×C22⋊D11—22no—
434C2×C22⋊D11—22no—
435C2×C22⋊D11—22no—
436C2×C22⋊D11—41no—
437C2×C22⋊D11—41no—
438C2×C22⋊D11—41no—
439C2×C22⋊D11—41no—
440C2×C22⋊D11—41no—
441C2×C22⋊D11—41no—
442C2×C22⋊D11—41no—
443C2×C22⋊D11—41no—
444C2×C22⋊D11—41no—
445C2×C22⋊D11—41no—
446C2×C22⋊D11C2×D414yes—
447C22×Dic11—22no—
448C22×Dic11—22no—
449C22×Dic11—41no—
450C22×Dic11—41no—
451C22×Dic11—41no—
452C22×Dic11C2×D414yes—
453C22×Dic11C2411yescharacteristic
454C22×Dic11C2411yescharacteristic
455C22×Dic11C2411yescharacteristic
456C22×Dic11C2411yescharacteristic
457C22×Dic11C2411yescharacteristic
458C22×Dic11C2411yescharacteristic
459C22×Dic11C2411yescharacteristic
460C22×Dic11C2411yescharacteristic
461C22×Dic11C2411yescharacteristic
462C22×Dic11C2411yescharacteristic
463C22×Dic11C2411yescharacteristic
464C22×Dic11C2411yescharacteristic
465C22×Dic11C2411yescharacteristic
466C2×D44—22no—
467C2×D44—22no—
468C2×D44—22no—
469C2×D44—22no—
470C2×D44—41no—
471C2×D44—41no—
472C2×C4×D11—22no—
473C2×C4×D11—22no—
474C2×C4×D11—22no—
475C2×C4×D11—22no—
476C2×C4×D11—22no—
477C2×C4×D11—22no—
478C2×C4×D11—22no—
479C2×C4×D11—22no—
480C2×C4×D11—41no—
481C2×C4×D11—41no—
482C2×C4×D11—41no—
483C2×C4×D11—41no—
484C2×C4×D11—41no—
485C2×C4×D11—41no—
486C2×C4×D11—41no—
487C2×C4×D11—41no—
488C2×C4×D11—41no—
489C2×C4×D11—41no—
490C2×C4×D11—41no—
491C2×C4×D11C2×D414yes—
492C2×C4×D11#4114yes—
493C2×Dic22—22no—
494C2×Dic22—22no—
495C2×Dic22—41no—
496C2×Dic22—41no—
497C2×Dic22—41no—
498C2×Dic22—41no—
499C11×C4⋊C4—22no—
500C11×C4⋊C4—22no—
501C11×C4⋊C4—22no—
502C11×C4⋊C4—22no—
503C11×C4⋊C4—41no—
504C11×C4⋊C4—41no—
505C11×C22⋊C4—22no—
506C11×C22⋊C4—22no—
507C11×C22⋊C4—22no—
508C11×C22⋊C4—22no—
509C11×C22⋊C4—22no—
510C11×C22⋊C4—22no—
511C11×C22⋊C4—22no—
512C11×C22⋊C4—22no—
513C11×C22⋊C4—41no—
514C11×C22⋊C4—41no—
515C11×C22⋊C4—41no—
516C11×C22⋊C4—41no—
517C11×C22⋊C4C2×D414yes—
518C42×C11—22no—
519C42×C11—41no—
520C42×C11—41no—
521C22⋊Dic11—22no—
522C22⋊Dic11—22no—
523C22⋊Dic11—22no—
524C22⋊Dic11—22no—
525C22⋊Dic11—22no—
526C22⋊Dic11—22no—
527C22⋊Dic11—22no—
528C22⋊Dic11—22no—
529C22⋊Dic11—22no—
530C22⋊Dic11—22no—
531C22⋊Dic11—22no—
532C22⋊Dic11—22no—
533C22⋊Dic11—41no—
534C22⋊Dic11—41no—
535(C2×D11)⋊C4—22no—
536(C2×D11)⋊C4—22no—
537(C2×D11)⋊C4—22no—
538(C2×D11)⋊C4—22no—
539(C2×D11)⋊C4—22no—
540(C2×D11)⋊C4—22no—
541(C2×D11)⋊C4—22no—
542(C2×D11)⋊C4—22no—
543(C2×D11)⋊C4—22no—
544(C2×D11)⋊C4—22no—
545(C2×D11)⋊C4—22no—
546(C2×D11)⋊C4—22no—
547(C2×D11)⋊C4—22no—
548(C2×D11)⋊C4—22no—
549(C2×D11)⋊C4—22no—
550(C2×D11)⋊C4—22no—
551(C2×D11)⋊C4—22no—
552(C2×D11)⋊C4—41no—
553(C2×D11)⋊C4—41no—
554(C2×D11)⋊C4—41no—
555(C2×D11)⋊C4—41no—
556(C2×D11)⋊C4—41no—
557(C2×D11)⋊C4—41no—
558(C2×D11)⋊C4C2×D414yes—
559(C2×D11)⋊C4#4114yes—
560C4⋊Dic11—22no—
561C4⋊Dic11—22no—
562C4⋊Dic11—22no—
563C4⋊Dic11—22no—
564C4⋊Dic11—22no—
565C4⋊Dic11—22no—
566C4⋊Dic11—22no—
567Dic11⋊C4—22no—
568Dic11⋊C4—22no—
569Dic11⋊C4—22no—
570Dic11⋊C4—22no—
571Dic11⋊C4—22no—
572Dic11⋊C4—22no—
573Dic11⋊C4—22no—
574Dic11⋊C4—22no—
575Dic11⋊C4—22no—
576Dic11⋊C4—22no—
577Dic11⋊C4—22no—
578Dic11⋊C4—22no—
579Dic11⋊C4—41no—
580Dic11⋊C4—41no—
581Dic11⋊C4—41no—
582Dic11⋊C4—41no—
583Dic11⋊C4C2×D414yes—
584C4×Dic11—22no—
585C4×Dic11—22no—
586C4×Dic11—22no—
587C4×Dic11—22no—
588C4×Dic11—22no—
589C4×Dic11—22no—
590C4×Dic11—41no—
591C4×Dic11—41no—
592C4×Dic11—41no—
593C4×Dic11—41no—
594C4×Dic11—41no—
595C4×Dic11C2×D414yes—
596C2×#539—111no—
597C2×#538—111no—
598#2861—111no—
599#2860—111no—
600#2854—111no—
601#2850—111no—
602#2664—111no—
603#2663—111no—
604#2662—111no—
605#2661—111no—
606#2560—111no—
607#2559D1111yescharacteristic, complemented
608#2558—111no—
609#2557—111no—
610#2549—111no—
611#2543—111no—
612#2539—111no—
613#2534—111no—
614#2521—111no—
615#2519—111no—
616#2488—111no—
617#2472—111no—
618#2464—111no—
619#2461—111no—
620#2425—111no—
621#2424—111no—
622#2322—111no—
623#2321—111no—
624C4×#121—111no—
625C2×#388—111no—
626C42×D4—111no—
627C23×C11—21no—
628C23×C11—21no—
629C23×C11—21no—
630C23×C11—21no—
631C23×C11—21no—
632C23×C11—21no—
633C23×C11—21no—
634C23×C11—21no—
635C23×C11—21no—
636C23×C11—21no—
637C23×C11—21no—
638C23×C11—21no—
639C23×C11—21no—
640C23×C11—21no—
641C23×C11—21no—
642C23×C11—21no—
643C23×C11—21no—
644C23×C11—21no—
645C23×C11—21no—
646C23×C11—21no—
647C23×C11C22×D412yes—
648C23×C11C2511yescharacteristic
649C22×D11—21no—
650C22×D11—21no—
651C22×D11—21no—
652C22×D11—21no—
653C22×D11—21no—
654C22×D11—21no—
655C22×D11—21no—
656C22×D11—21no—
657C22×D11—21no—
658C22×D11—21no—
659C22×D11—21no—
660C22×D11—21no—
661C22×D11—21no—
662C22×D11—21no—
663C22×D11—21no—
664C22×D11—21no—
665C22×D11—21no—
666C22×D11—21no—
667C22×D11—44no—
668C22×D11—44no—
669C22×D11—44no—
670C22×D11—82no—
671C22×D11—82no—
672C22×D11—82no—
673C22×D11—82no—
674C22×D11C22×D412yes—
675C22×D11C2×#4112yes—
676C22×D11C2×#4112yes—
677D4×C11—82no—
678D4×C11—82no—
679D4×C11—82no—
680C2×C4×C11—21no—
681C2×C4×C11—21no—
682C2×C4×C11—21no—
683C2×C4×C11—21no—
684C2×C4×C11—21no—
685C2×C4×C11—21no—
686C2×C4×C11—21no—
687C2×C4×C11—21no—
688C2×C4×C11—21no—
689C2×C4×C11—21no—
690C2×C4×C11—21no—
691C2×C4×C11—21no—
692C2×C4×C11—21no—
693C2×C4×C11—21no—
694C2×C4×C11—21no—
695C2×C4×C11—21no—
696C2×C4×C11—21no—
697C2×C4×C11—21no—
698C2×C4×C11—21no—
699C2×C4×C11—21no—
700C2×C4×C11—21no—
701C2×C4×C11—21no—
702C2×C4×C11—21no—
703C2×C4×C11—21no—
704C2×C4×C11—21no—
705C2×C4×C11—21no—
706C2×C4×C11—21no—
707C2×C4×C11—21no—
708C2×C4×C11—21no—
709C2×C4×C11—21no—
710C2×C4×C11—21no—
711C2×C4×C11—21no—
712C2×C4×C11—44no—
713C2×C4×C11—82no—
714C2×C4×C11C22×D412yes—
715C2×C4×C11C22×D412yes—
716C2×C4×C11C2×#4112yes—
717C2×C4×C11C2×#4112yes—
718C22⋊D11—28no—
719C22⋊D11—44no—
720C22⋊D11—44no—
721C22⋊D11—82no—
722C22⋊D11—82no—
723C22⋊D11—82no—
724C22⋊D11—82no—
725C2×Dic11—21no—
726C2×Dic11—21no—
727C2×Dic11—21no—
728C2×Dic11—21no—
729C2×Dic11—21no—
730C2×Dic11—21no—
731C2×Dic11—21no—
732C2×Dic11—21no—
733C2×Dic11—21no—
734C2×Dic11—21no—
735C2×Dic11—21no—
736C2×Dic11—21no—
737C2×Dic11—21no—
738C2×Dic11—21no—
739C2×Dic11—21no—
740C2×Dic11—21no—
741C2×Dic11—21no—
742C2×Dic11—21no—
743C2×Dic11—21no—
744C2×Dic11—21no—
745C2×Dic11—21no—
746C2×Dic11—21no—
747C2×Dic11—21no—
748C2×Dic11—21no—
749C2×Dic11—21no—
750C2×Dic11—21no—
751C2×Dic11—21no—
752C2×Dic11—21no—
753C2×Dic11—21no—
754C2×Dic11—21no—
755C2×Dic11—21no—
756C2×Dic11—21no—
757C2×Dic11—21no—
758C2×Dic11—44no—
759C2×Dic11—44no—
760C2×Dic11C22×D412yes—
761C2×Dic11C22×D412yes—
762C2×Dic11C22×D412yes—
763C2×Dic11C2×#4112yes—
764C2×Dic11C2×#4112yes—
765C2×Dic11H(5,𝔽2)12yes—
766D44—44no—
767D44—82no—
768C4×D11—44no—
769C4×D11—44no—
770C4×D11—44no—
771C4×D11—44no—
772C4×D11—82no—
773C4×D11—82no—
774C4×D11—82no—
775Dic22—82no—
776Dic22—82no—
777#539—228no—
778#538—228no—
779C2×#126—111no—
780C2×#126—111no—
781C2×#126—111no—
782C2×#126C2×D1111yescharacteristic, complemented
783C2×#125—111no—
784C2×#125—111no—
785C2×#124—111no—
786C2×#124—111no—
787C2×#124—111no—
788C2×#123—111no—
789C2×#123—111no—
790C2×#123—111no—
791C2×#123—111no—
792C2×#123—111no—
793C2×#123—111no—
794C2×#123—111no—
795C2×C22⋊Q8—111no—
796C2×C22⋊Q8—111no—
797C2×C22⋊Q8—111no—
798C2×C22⋊Q8—111no—
799C2×#121—111no—
800C2×#121—111no—
801C2×#121—111no—
802C2×#121—111no—
803C2×#121—111no—
804C2×#121C2×D1111yescharacteristic
805C2×#120—111no—
806C2×#120—111no—
807C2×#120—111no—
808C2×C4×D4—111no—
809C2×C4×D4—111no—
810C2×C4×D4—111no—
811C2×C4×D4—111no—
812C2×C4×D4—111no—
813C2×C4×D4—111no—
814C22×C4⋊C4—111no—
815C22×C22⋊C4—111no—
816C22×C22⋊C4—111no—
817C22×C22⋊C4—111no—
818C22×C42—111no—
819C22×C42—111no—
820#400—111no—
821#400C2×D1111yescharacteristic, complemented
822#399—111no—
823#399—111no—
824#398—111no—
825#398—111no—
826#398—111no—
827#398—111no—
828#397—111no—
829#397—111no—
830#397—111no—
831#397—111no—
832#396—111no—
833#396—111no—
834#396—111no—
835#396—111no—
836#395—111no—
837#395—111no—
838#394—111no—
839#394—111no—
840#394—111no—
841#394—111no—
842#394—111no—
843#394C2×D1111yescharacteristic
844#394C2×D1111yescharacteristic
845#394C2×D1111yescharacteristic, complemented
846#393—111no—
847#393—111no—
848#392—111no—
849#392—111no—
850#392—111no—
851#392—111no—
852#391—111no—
853#391—111no—
854#391—111no—
855#390—111no—
856#390—111no—
857#390—111no—
858#390—111no—
859#390—111no—
860#390—111no—
861#390—111no—
862#390—111no—
863#390C2×D1111yescharacteristic
864#389—111no—
865#389—111no—
866#389—111no—
867#389—111no—
868#389—111no—
869#389C2×D1111yescharacteristic, complemented
870#388—111no—
871#388—111no—
872#388—111no—
873#388—111no—
874#388—111no—
875#388—111no—
876#388—111no—
877#388—111no—
878#388—111no—
879#388—111no—
880#388—111no—
881#388—111no—
882#388—111no—
883#388—111no—
884#388—111no—
885#388—111no—
886#388—111no—
887#388—111no—
888#388—111no—
889#388—111no—
890#388—111no—
891#388—111no—
892#388—111no—
893#388—111no—
894#388C2×D1111yescharacteristic
895#388C2×D1111yescharacteristic
896#387—111no—
897#387—111no—
898#386—111no—
899#386—111no—
900#386—111no—
901#386—111no—
902#386—111no—
903#386—111no—
904#386—111no—
905#386—111no—
906#386—111no—
907#386—111no—
908#386C2×D1111yescharacteristic
909#386C2×D1111yescharacteristic, complemented
910#385—111no—
911#385—111no—
912#385—111no—
913#385C2×D1111yescharacteristic, complemented
914#382—111no—
915#381—111no—
916#380—111no—
917#380—111no—
918#379—111no—
919C4×C4⋊C4—111no—
920C4×C4⋊C4—111no—
921C4×C4⋊C4—111no—
922C4×C4⋊C4—111no—
923C4×C22⋊C4—111no—
924C4×C22⋊C4—111no—
925C4×C22⋊C4—111no—
926C4×C22⋊C4—111no—
927C4×C22⋊C4—111no—
928C4×C22⋊C4—111no—
929C4×C22⋊C4C2×D1111yescharacteristic, complemented
930C4×C22⋊C4C2×D1111yescharacteristic, complemented
931C2×#95—111no—
932C2×#95—111no—
933C43—111no—
934C22×C11—22no—
935C22×C11—22no—
936C22×C11—22no—
937C22×C11—41no—
938C22×C11—41no—
939C22×C11—41no—
940C22×C11—41no—
941C22×C11—41no—
942C22×C11—41no—
943C22×C11—41no—
944C22×C11—41no—
945C22×C11—41no—
946C22×C11—41no—
947C22×C11—41no—
948C22×C11—41no—
949C22×C11—41no—
950C22×C11—41no—
951C22×C11—41no—
952C22×C11—41no—
953C22×C11—41no—
954C22×C11—41no—
955C22×C11C23×D411yescharacteristic
956C22×C11C22×#4111yescharacteristic
957C22×C11C22×#4111yescharacteristic
958C22×C11C2×H(5,𝔽2)11yescharacteristic
959C22×C11#58511yescharacteristic
960C22×C11#58511yescharacteristic
961C22×C11#58511yescharacteristic
962C2×D11—22no—
963C2×D11—22no—
964C2×D11—22no—
965C2×D11—22no—
966C2×D11—22no—
967C2×D11—22no—
968C2×D11—41no—
969C2×D11—41no—
970C2×D11—41no—
971C2×D11—41no—
972C2×D11—41no—
973C2×D11—41no—
974C2×D11—41no—
975C2×D11—41no—
976C2×D11—41no—
977C2×D11—41no—
978C2×D11—41no—
979C2×D11—41no—
980C2×D11—41no—
981C2×D11—41no—
982C2×D11—88no—
983C2×D11#53214yes—
984C4×C11—22no—
985C4×C11—22no—
986C4×C11—22no—
987C4×C11—22no—
988C4×C11—41no—
989C4×C11—41no—
990C4×C11—41no—
991C4×C11—41no—
992C4×C11—41no—
993C4×C11—41no—
994C4×C11—41no—
995C4×C11—41no—
996Dic11—22no—
997Dic11—22no—
998Dic11—22no—
999Dic11—22no—
1000Dic11—22no—
1001Dic11—22no—
1002Dic11—41no—
1003Dic11—41no—
1004Dic11—41no—
1005Dic11—41no—
1006Dic11—41no—
1007Dic11—41no—
1008Dic11—41no—
1009C25—111no—
1010C22×Q8—111no—
1011C22×Q8—111no—
1012C22×D4—111no—
1013C22×D4—111no—
1014C22×D4—111no—
1015C22×D4—111no—
1016C22×D4—111no—
1017C22×D4—111no—
1018C22×D4—111no—
1019C22×D4—111no—
1020C22×D4—111no—
1021C22×D4C22×D1111yescharacteristic
1022C22×D4C22×D1111yescharacteristic
1023C22×D4C22×D1111yescharacteristic
1024C23×C4—111no—
1025C23×C4—111no—
1026C23×C4—111no—
1027C23×C4—111no—
1028C23×C4—111no—
1029C23×C4—111no—
1030C23×C4—111no—
1031C23×C4—111no—
1032C23×C4—111no—
1033C23×C4C22×D1111yescharacteristic
1034C23×C4C22×D1111yescharacteristic
1035#126—24no—
1036#126—224no—
1037#126—224no—
1038#126—224no—
1039#125—224no—
1040#125—224no—
1041#124—224no—
1042#124—224no—
1043#124—442no—
1044#123—224no—
1045#123—224no—
1046#123—224no—
1047#123—224no—
1048#123—224no—
1049#123—224no—
1050#123—224no—
1051C22⋊Q8—224no—
1052C22⋊Q8—224no—
1053C22⋊Q8—224no—
1054C22⋊Q8—224no—
1055#121—24no—
1056#121—224no—
1057#121—224no—
1058#121—224no—
1059#121—224no—
1060#121—442no—
1061#120—224no—
1062#120—224no—
1063#120—224no—
1064C4×D4—118no—
1065C4×D4—224no—
1066C4×D4—224no—
1067C4×D4—224no—
1068C4×D4—224no—
1069C4×D4—442no—
1070C2×C4⋊C4—111no—
1071C2×C4⋊C4—111no—
1072C2×C4⋊C4—111no—
1073C2×C4⋊C4—111no—
1074C2×C4⋊C4—111no—
1075C2×C4⋊C4—111no—
1076C2×C4⋊C4—111no—
1077C2×C4⋊C4—111no—
1078C2×C4⋊C4—111no—
1079C2×C4⋊C4—111no—
1080C2×C4⋊C4—111no—
1081C2×C4⋊C4—111no—
1082C2×C4⋊C4—111no—
1083C2×C4⋊C4—111no—
1084C2×C4⋊C4—111no—
1085C2×C4⋊C4—111no—
1086C2×C4⋊C4—111no—
1087C2×C4⋊C4—111no—
1088C2×C4⋊C4—111no—
1089C2×C4⋊C4—111no—
1090C2×C4⋊C4—111no—
1091C2×C4⋊C4—111no—
1092C2×C4⋊C4—111no—
1093C2×C4⋊C4—111no—
1094C2×C4⋊C4—224no—
1095C2×C4⋊C4C22×D1111yescharacteristic
1096C2×C4⋊C4C22×D1111yescharacteristic
1097C2×C4⋊C4C22×D1111yescharacteristic
1098C2×C4⋊C4C22×D1111yescharacteristic
1099C2×C4⋊C4C22×D1111yescharacteristic
1100C2×C4⋊C4C22×D1111yescharacteristic
1101C2×C22⋊C4—111no—
1102C2×C22⋊C4—111no—
1103C2×C22⋊C4—111no—
1104C2×C22⋊C4—111no—
1105C2×C22⋊C4—111no—
1106C2×C22⋊C4—111no—
1107C2×C22⋊C4—111no—
1108C2×C22⋊C4—111no—
1109C2×C22⋊C4—111no—
1110C2×C22⋊C4—111no—
1111C2×C22⋊C4—111no—
1112C2×C22⋊C4—111no—
1113C2×C22⋊C4—111no—
1114C2×C22⋊C4—111no—
1115C2×C22⋊C4—111no—
1116C2×C22⋊C4—111no—
1117C2×C22⋊C4—111no—
1118C2×C22⋊C4—111no—
1119C2×C22⋊C4—111no—
1120C2×C22⋊C4—111no—
1121C2×C22⋊C4—111no—
1122C2×C22⋊C4—111no—
1123C2×C22⋊C4—111no—
1124C2×C22⋊C4—111no—
1125C2×C22⋊C4—111no—
1126C2×C22⋊C4—111no—
1127C2×C22⋊C4—111no—
1128C2×C22⋊C4—111no—
1129C2×C22⋊C4—111no—
1130C2×C22⋊C4—111no—
1131C2×C22⋊C4—111no—
1132C2×C22⋊C4—111no—
1133C2×C22⋊C4—111no—
1134C2×C22⋊C4—111no—
1135C2×C22⋊C4—111no—
1136C2×C22⋊C4—111no—
1137C2×C22⋊C4—111no—
1138C2×C22⋊C4—111no—
1139C2×C22⋊C4—111no—
1140C2×C22⋊C4—224no—
1141C2×C22⋊C4—224no—
1142C2×C22⋊C4—442no—
1143C2×C22⋊C4C22×D1111yescharacteristic
1144C2×C22⋊C4C22×D1111yescharacteristic
1145C2×C22⋊C4C22×D1111yescharacteristic
1146C2×C22⋊C4C22×D1111yescharacteristic
1147C2×C22⋊C4C22×D1111yescharacteristic
1148C2×C22⋊C4C22×D1111yescharacteristic
1149C2×C22⋊C4C22×D1111yescharacteristic
1150C2×C22⋊C4C22×D1111yescharacteristic
1151C2×C22⋊C4C22×D1111yescharacteristic
1152C2×C22⋊C4C22×D1111yescharacteristic
1153C2×C22⋊C4C22×D1111yescharacteristic
1154C2×C22⋊C4C22×D1111yescharacteristic
1155C2×C22⋊C4C22×D1111yescharacteristic
1156C2×C42—111no—
1157C2×C42—111no—
1158C2×C42—111no—
1159C2×C42—111no—
1160C2×C42—111no—
1161C2×C42—111no—
1162C2×C42—111no—
1163C2×C42—111no—
1164C2×C42—111no—
1165C2×C42—111no—
1166C2×C42—111no—
1167C2×C42—111no—
1168C2×C42—442no—
1169C2×C42—442no—
1170C2×C42C22×D1111yescharacteristic
1171C2×C42C22×D1111yescharacteristic
1172C2×C42C22×D1111yescharacteristic
1173#95—111no—
1174#95—111no—
1175#95—111no—
1176#95—111no—
1177#95—111no—
1178#95—111no—
1179#95—111no—
1180#95—111no—
1181#95—111no—
1182#95—111no—
1183#95—111no—
1184#95—111no—
1185#95—111no—
1186#95—111no—
1187#95—111no—
1188#95—111no—
1189#95—111no—
1190#95—111no—
1191#95—111no—
1192#95—111no—
1193#95—111no—
1194#95—111no—
1195#95—111no—
1196#95—111no—
1197#95C22×D1111yescharacteristic
1198#95C22×D1111yescharacteristic
1199#95C22×D1111yescharacteristic
1200#95C22×D1111yescharacteristic
1201#95C22×D1111yescharacteristic
1202#95C22×D1111yescharacteristic
1203#95C22×D1111yescharacteristic
1204#95C22×D1111yescharacteristic
1205C2×C11—42no—
1206C2×C11—81no—
1207C2×C11—81no—
1208C2×C11C2×#53211yescharacteristic
1209C2×C11#345511yescharacteristic
1210C2×C11#345911yescharacteristic
1211C2×C11#349611yescharacteristic
1212C2×C11#350011yescharacteristic
1213C2×C11#351311yescharacteristic
1214C2×C11#352111yescharacteristic
1215D11—24no—
1216D11—81no—
1217D11—81no—
1218C24—111no—
1219C24—111no—
1220C24—111no—
1221C24—222no—
1222C24—222no—
1223C24—222no—
1224C24—441no—
1225C24—441no—
1226C24—441no—
1227C24—441no—
1228C24C23×D1111yescharacteristic
1229C24C23×D1111yescharacteristic
1230C24C23×D1111yescharacteristic
1231C2×Q8—222no—
1232C2×Q8—222no—
1233C2×Q8—441no—
1234C2×Q8—441no—
1235C2×Q8—441no—
1236C2×Q8—441no—
1237C2×D4—22no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—41no—
1243C2×D4—41no—
1244C2×D4—41no—
1245C2×D4—41no—
1246C2×D4—114no—
1247C2×D4—222no—
1248C2×D4—222no—
1249C2×D4—222no—
1250C2×D4—222no—
1251C2×D4—222no—
1252C2×D4—222no—
1253C2×D4—222no—
1254C2×D4—222no—
1255C2×D4—222no—
1256C2×D4—222no—
1257C2×D4—222no—
1258C2×D4—222no—
1259C2×D4—222no—
1260C2×D4—222no—
1261C2×D4—441no—
1262C2×D4—441no—
1263C2×D4—441no—
1264C2×D4—441no—
1265C2×D4—441no—
1266C2×D4—441no—
1267C2×D4—441no—
1268C2×D4—441no—
1269C2×D4—441no—
1270C2×D4—441no—
1271C2×D4—441no—
1272C2×D4—441no—
1273C22×C4—22no—
1274C22×C4—22no—
1275C22×C4—41no—
1276C22×C4—41no—
1277C22×C4—41no—
1278C22×C4—41no—
1279C22×C4—111no—
1280C22×C4—111no—
1281C22×C4—111no—
1282C22×C4—111no—
1283C22×C4—111no—
1284C22×C4—111no—
1285C22×C4—114no—
1286C22×C4—114no—
1287C22×C4—114no—
1288C22×C4—111no—
1289C22×C4—111no—
1290C22×C4—111no—
1291C22×C4—111no—
1292C22×C4—111no—
1293C22×C4—111no—
1294C22×C4—111no—
1295C22×C4—222no—
1296C22×C4—222no—
1297C22×C4—222no—
1298C22×C4—222no—
1299C22×C4—222no—
1300C22×C4—222no—
1301C22×C4—222no—
1302C22×C4—222no—
1303C22×C4—222no—
1304C22×C4—222no—
1305C22×C4—441no—
1306C22×C4—441no—
1307C22×C4—441no—
1308C22×C4—441no—
1309C22×C4—441no—
1310C22×C4—441no—
1311C22×C4—441no—
1312C22×C4—441no—
1313C22×C4—441no—
1314C22×C4—441no—
1315C22×C4—441no—
1316C22×C4—441no—
1317C22×C4—441no—
1318C22×C4—441no—
1319C22×C4C23×D1111yescharacteristic
1320C22×C4C23×D1111yescharacteristic
1321C22×C4C23×D1111yescharacteristic
1322C22×C4C23×D1111yescharacteristic
1323C22×C4C23×D1111yescharacteristic
1324C22×C4C23×D1111yescharacteristic
1325C22×C4C23×D1111yescharacteristic
1326C22×C4C23×D1111yescharacteristic
1327C22×C4C23×D1111yescharacteristic
1328C22×C4C23×D1111yescharacteristic
1329C22×C4C23×D1111yescharacteristic
1330C22×C4C23×D1111yescharacteristic
1331C4⋊C4—22no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—41no—
1336C4⋊C4—41no—
1337C4⋊C4—114no—
1338C4⋊C4—222no—
1339C4⋊C4—222no—
1340C4⋊C4—222no—
1341C4⋊C4—222no—
1342C4⋊C4—222no—
1343C4⋊C4—222no—
1344C4⋊C4—222no—
1345C4⋊C4—222no—
1346C4⋊C4—222no—
1347C4⋊C4—222no—
1348C4⋊C4—222no—
1349C4⋊C4—222no—
1350C4⋊C4—222no—
1351C4⋊C4—222no—
1352C4⋊C4—222no—
1353C4⋊C4—222no—
1354C4⋊C4—222no—
1355C4⋊C4—222no—
1356C4⋊C4—222no—
1357C4⋊C4—441no—
1358C4⋊C4—441no—
1359C4⋊C4—441no—
1360C4⋊C4—441no—
1361C22⋊C4—22no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—22no—
1366C22⋊C4—22no—
1367C22⋊C4—22no—
1368C22⋊C4—22no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—114no—
1374C22⋊C4—114no—
1375C22⋊C4—222no—
1376C22⋊C4—222no—
1377C22⋊C4—222no—
1378C22⋊C4—222no—
1379C22⋊C4—222no—
1380C22⋊C4—222no—
1381C22⋊C4—222no—
1382C22⋊C4—222no—
1383C22⋊C4—222no—
1384C22⋊C4—222no—
1385C22⋊C4—222no—
1386C22⋊C4—222no—
1387C22⋊C4—222no—
1388C22⋊C4—222no—
1389C22⋊C4—222no—
1390C22⋊C4—222no—
1391C22⋊C4—222no—
1392C22⋊C4—222no—
1393C22⋊C4—222no—
1394C22⋊C4—222no—
1395C22⋊C4—222no—
1396C22⋊C4—222no—
1397C22⋊C4—222no—
1398C22⋊C4—222no—
1399C22⋊C4—222no—
1400C22⋊C4—222no—
1401C22⋊C4—222no—
1402C22⋊C4—222no—
1403C22⋊C4—222no—
1404C22⋊C4—441no—
1405C22⋊C4—441no—
1406C22⋊C4—441no—
1407C22⋊C4—441no—
1408C22⋊C4—441no—
1409C22⋊C4—441no—
1410C22⋊C4—441no—
1411C22⋊C4—441no—
1412C22⋊C4D4×D1114yes—
1413C42—22no—
1414C42—41no—
1415C42—41no—
1416C42—114no—
1417C42—222no—
1418C42—222no—
1419C42—222no—
1420C42—222no—
1421C42—222no—
1422C42—222no—
1423C42—441no—
1424C42—441no—
1425C42—441no—
1426C42—441no—
1427C42—441no—
1428C11#3500911yescharacteristic, complemented, Sylow
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—112no—
1450C23—112no—
1451C23—112no—
1452C23—221no—
1453C23—221no—
1454C23—221no—
1455C23—221no—
1456C23—221no—
1457C23—221no—
1458C23—221no—
1459C23—221no—
1460C23—221no—
1461C23—221no—
1462C23—221no—
1463C23—221no—
1464C23—221no—
1465C23—221no—
1466C23—221no—
1467C23—221no—
1468C23—221no—
1469C23—221no—
1470C23—444no—
1471C23—444no—
1472C23—444no—
1473C23—882no—
1474C23—882no—
1475C23—882no—
1476C23—882no—
1477C23C2×D4×D1112yes—
1478C23C24×D1111yescharacteristic
1479Q8—882no—
1480Q8—882no—
1481D4—82no—
1482D4—82no—
1483D4—82no—
1484D4—228no—
1485D4—444no—
1486D4—444no—
1487D4—444no—
1488D4—882no—
1489D4—882no—
1490D4—882no—
1491D4—882no—
1492D4—882no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—44no—
1526C2×C4—82no—
1527C2×C4—112no—
1528C2×C4—112no—
1529C2×C4—112no—
1530C2×C4—112no—
1531C2×C4—112no—
1532C2×C4—112no—
1533C2×C4—221no—
1534C2×C4—221no—
1535C2×C4—221no—
1536C2×C4—221no—
1537C2×C4—221no—
1538C2×C4—221no—
1539C2×C4—221no—
1540C2×C4—221no—
1541C2×C4—221no—
1542C2×C4—221no—
1543C2×C4—221no—
1544C2×C4—221no—
1545C2×C4—221no—
1546C2×C4—221no—
1547C2×C4—221no—
1548C2×C4—221no—
1549C2×C4—221no—
1550C2×C4—221no—
1551C2×C4—221no—
1552C2×C4—221no—
1553C2×C4—221no—
1554C2×C4—221no—
1555C2×C4—221no—
1556C2×C4—221no—
1557C2×C4—221no—
1558C2×C4—221no—
1559C2×C4—221no—
1560C2×C4—221no—
1561C2×C4—221no—
1562C2×C4—221no—
1563C2×C4—221no—
1564C2×C4—221no—
1565C2×C4—221no—
1566C2×C4—444no—
1567C2×C4—444no—
1568C2×C4—444no—
1569C2×C4—444no—
1570C2×C4—444no—
1571C2×C4—444no—
1572C2×C4—882no—
1573C2×C4—882no—
1574C2×C4—882no—
1575C2×C4C2×D4×D1112yes—
1576C2×C4C2×D4×D1112yes—
1577C2×C4#41×D1112yes—
1578C2×C4#41×D1112yes—
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—114no—
1601C22—222no—
1602C22—222no—
1603C22—222no—
1604C22—222no—
1605C22—222no—
1606C22—222no—
1607C22—441no—
1608C22—441no—
1609C22—441no—
1610C22—441no—
1611C22—441no—
1612C22—441no—
1613C22—441no—
1614C22—441no—
1615C22—441no—
1616C22—441no—
1617C22—441no—
1618C22—441no—
1619C22—441no—
1620C22—441no—
1621C22—888no—
1622C22C22×D4×D1111yescharacteristic
1623C22C2×#41×D1111yescharacteristic
1624C22C2×#41×D1111yescharacteristic
1625C22#1062345311yescharacteristic
1626C22#1062345311yescharacteristic
1627C22D11×H(5,𝔽2)11yescharacteristic
1628C22#1062345511yescharacteristic
1629C4—22no—
1630C4—22no—
1631C4—22no—
1632C4—22no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—222no—
1642C4—222no—
1643C4—222no—
1644C4—222no—
1645C4—222no—
1646C4—222no—
1647C4—441no—
1648C4—441no—
1649C4—441no—
1650C4—441no—
1651C4—441no—
1652C4—441no—
1653C4—441no—
1654C2—42no—
1655C2—81no—
1656C2—81no—
1657C2—224no—
1658C2—881no—
1659C2—881no—
1660C2D11×#53211yescharacteristic
1661C2#1308199911yescharacteristic
1662C2#1308202711yescharacteristic
1663C2#1308237611yescharacteristic
1664C2#1308240211yescharacteristic
1665C2#1308256311yescharacteristic
1666C2#1308267511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2559C2
hypercenter#2559D11
hypocenterC11#35009
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2559

Complements

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

NH ≅ G/Ntype
1. C2×#10623238C2semidirect
2. C2×#10623144C2semidirect
3. #13076987C2semidirect
4. #13076984C2semidirect
5. #13076944C2semidirect
6. #13076913C2semidirect
7. #13074783C2semidirect
8. #13074763C2semidirect
9. #13074761C2semidirect
10. #13074743C2semidirect
11. #13073762C2semidirect
12. #13073730C2semidirect
13. #13073709C2semidirect
14. #13073626C2semidirect
15. #13073575C2semidirect
16. #13073545C2semidirect
17. #13073504C2semidirect
18. #13073324C2semidirect
19. #13073286C2semidirect
20. #13072937C2semidirect
21. #13072743C2semidirect
22. #13072627C2semidirect
23. #13072580C2semidirect
24. #13072168C2semidirect
25. #13072153C2semidirect
26. #13071283C2semidirect
27. #13071278C2semidirect
28. C4×#66937C2semidirect
29. D11×#388C2semidirect
30. C4×(C22⋊D11)⋊C4C2semidirect
31. C11×#2559C2semidirect
32. C2×C11×#126C22semidirect
44. C2×C4×C22⋊D11C22semidirect
45. C22×C4×Dic11C22semidirect
49. C2×#66951C22semidirect
52. C2×#66949C22semidirect
55. C2×#66943C22semidirect
56. C2×#66939C22semidirect
63. C2×#66936C22semidirect
71. C2×#66931C22semidirect
74. C2×#66923C22semidirect
75. C11×#400C22semidirect
78. C11×#394C22semidirect
80. C11×#389C22semidirect
84. C11×#386C22semidirect
85. C11×#385C22semidirect
86. C4×C11×C22⋊C4C22semidirect
87. C4×C11×C22⋊C4C22semidirect
89. #10622836C22semidirect
92. #10622833C22semidirect
94. #10622826C22semidirect
95. #10622823C22semidirect
99. #10622603C22semidirect
104. #10622598C22semidirect
105. #10622597C22semidirect
106. #10622596C22semidirect
107. #10622592C22semidirect
108. #10622592C22semidirect
109. #10622591C22semidirect
110. #10622587C22semidirect
111. #10622586C22semidirect
117. #10622572C22semidirect
122. #10622570C22semidirect
127. #10622566C22semidirect
128. #10622565C22semidirect
132. #10622564C22semidirect
133. #10622564C22semidirect
136. #10622561C22semidirect
142. #10622557C22semidirect
143. #10622557C22semidirect
144. #10622557C22semidirect
145. #10622555C22semidirect
146. C22⋊C4×Dic11C22semidirect
147. C22⋊C4×Dic11C22semidirect
152. C4×(C2×D11)⋊C4C22semidirect
153. C4×Dic11⋊C4C22semidirect
154. C4×Dic11⋊C4C22semidirect
155. C42×Dic11C22semidirect
156. #10622542C22semidirect
159. #10622288C22semidirect
161. #10622286C22semidirect
165. #10622283C22semidirect
167. #10622282C22semidirect
168. #10622282C22semidirect
178. #10622271C22semidirect
179. #10622270C22semidirect
180. #10622270C22semidirect
181. #10622266C22semidirect
182. #10622263C22semidirect
183. #10622262C22semidirect
184. #10622262C22semidirect
185. #10622260C22semidirect
186. #10622260C22semidirect
187. #10622260C22semidirect
188. #10622259C22semidirect
344. (C22⋊D11)⋊C4D4semidirect
607. #2559D11semidirect
782. C2×#126C2×D11semidirect
821. #400C2×D11semidirect
845. #394C2×D11semidirect
869. #389C2×D11semidirect
909. #386C2×D11semidirect
913. #385C2×D11semidirect
929. C4×C22⋊C4C2×D11semidirect
930. C4×C22⋊C4C2×D11semidirect
1428. C11#35009semidirect

Maximal subgroups

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

subgroupindex
C2×#106232382
C2×#106231442
#130769872
#130769842
#130769442
#130769132
#130747832
#130747632
#130747612
#130747432
#130737622
#130737302
#130737092
#130736262
#130735752
#130735452
#130735042
#130733242
#130732862
#130729372
#130727432
#130726272
#130725802
#130721682
#130721532
#130712832
#130712782
C4×#669372
D11×#3882
C4×(C22⋊D11)⋊C42
C11×#25592
#3500911