Finite Group Databasebeta

← #14962098

Subgroups — #14962098

Order 2816.

2454 conjugacy classes of subgroups.

The subgroup lattice has 1786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076907C211yesmaximal, characteristic, complemented
2#13076895C211yesmaximal, characteristic, complemented
3#13076239C211yesmaximal, characteristic, complemented
4#13076236C211yesmaximal, characteristic, complemented
5#13075992C211yesmaximal, characteristic, complemented
6#13075858C211yesmaximal, characteristic, complemented
7#13075843C211yesmaximal, characteristic, complemented
8#13075832C211yesmaximal, characteristic, complemented
9#13075750C211yesmaximal, characteristic, complemented
10#13075252C211yesmaximal, characteristic, complemented
11#13075179C211yesmaximal, characteristic, complemented
12#13075172C211yesmaximal, characteristic, complemented
13#13075058C211yesmaximal, characteristic, complemented
14#13075051C211yesmaximal, characteristic, complemented
15#13074996C211yesmaximal, characteristic, complemented
16#13074937C211yesmaximal, characteristic, complemented
17#13074922C211yesmaximal, characteristic, complemented
18#13074820C211yesmaximal, characteristic, complemented
19#13074571C211yesmaximal, characteristic, complemented
20#13074549C211yesmaximal, characteristic, complemented
21#13073180C211yesmaximal, characteristic, complemented
22#13072747C211yesmaximal, characteristic, complemented
23#13072362C211yesmaximal, characteristic, complemented
24#13072277C211yesmaximal, characteristic, complemented
25#13072158C211yesmaximal, characteristic, complemented
26#13071991C211yesmaximal, characteristic, complemented
27#13071926C211yesmaximal, characteristic, complemented
28#13071277C211yesmaximal, characteristic, complemented
29#13071194C211yesmaximal, characteristic, complemented
30C2×#10622569C211yesmaximal, characteristic, complemented
31C11×#2410C211yesmaximal, characteristic, complemented
32C23×D4×C11C2211yescharacteristic
33C23×C22⋊D11C2211yescharacteristic
34C23×C4×D11C2211yescharacteristic, complemented
35C2×C11×#121C2211yescharacteristic
36C2×C11×#121C2211yescharacteristic
37C2×C11×#120C2211yescharacteristic
38C2×C11×#120C2211yescharacteristic, complemented
39C22×C11×C22⋊C4C2211yescharacteristic
40C2×#67006C2211yescharacteristic
41C2×#67006C2211yescharacteristic
42C22×C22⋊Dic11C2211yescharacteristic
43C22×C22⋊Dic11C2211yescharacteristic
44C2×#66992C2211yescharacteristic, complemented
45C2×#66992C2211yescharacteristic, complemented
46C2×#66992C2211yescharacteristic, complemented
47C2×#66991C2211yescharacteristic, complemented
48C2×#66991C2211yescharacteristic, complemented
49C2×#66990C2211yescharacteristic
50C2×#66990C2211yescharacteristic
51C2×#66990C2211yescharacteristic, complemented
52C2×D4×Dic11C2211yescharacteristic, complemented
53C22×(C2×D11)⋊C4C2211yescharacteristic, complemented
54C2×#66977C2211yescharacteristic, complemented
55C2×#66938C2211yescharacteristic, complemented
56C2×#66936C2211yescharacteristic, complemented
57C2×#66936C2211yescharacteristic, complemented
58C2×#66931C2211yescharacteristic, complemented
59C11×#394C2211yescharacteristic, complemented
60C11×#394C2211yescharacteristic, complemented
61C11×#392C2211yescharacteristic, complemented
62C11×#392C2211yescharacteristic, complemented
63C11×#386C2211yescharacteristic
64C11×#386C2211yescharacteristic
65C11×#386C2211yescharacteristic, complemented
66C11×#385C2211yescharacteristic, complemented
67C11×#379C2211yescharacteristic, complemented
68#10622860C2211yescharacteristic
69#10622860C2211yescharacteristic, complemented
70#10622860C2211yescharacteristic, complemented
71#10622836C2211yescharacteristic
72#10622836C2211yescharacteristic
73#10622836C2211yescharacteristic
74#10622836C2211yescharacteristic
75#10622836C2211yescharacteristic
76#10622836C2211yescharacteristic
77#10622836C2211yescharacteristic, complemented
78#10622835C2211yescharacteristic, complemented
79#10622835C2211yescharacteristic, complemented
80#10622835C2211yescharacteristic, complemented
81#10622834C2211yescharacteristic, complemented
82#10622834C2211yescharacteristic, complemented
83#10622833C2211yescharacteristic
84#10622833C2211yescharacteristic
85#10622833C2211yescharacteristic
86#10622833C2211yescharacteristic
87#10622833C2211yescharacteristic
88#10622833C2211yescharacteristic
89#10622833C2211yescharacteristic, complemented
90#10622833C2211yescharacteristic, complemented
91#10622833C2211yescharacteristic, complemented
92#10622833C2211yescharacteristic, complemented
93#10622833C2211yescharacteristic, complemented
94#10622833C2211yescharacteristic, complemented
95#10622833C2211yescharacteristic, complemented
96#10622833C2211yescharacteristic, complemented
97#10622833C2211yescharacteristic, complemented
98#10622826C2211yescharacteristic
99#10622826C2211yescharacteristic
100#10622825C2211yescharacteristic, complemented
101#10622824C2211yescharacteristic, complemented
102#10622824C2211yescharacteristic, complemented
103#10622823C2211yescharacteristic, complemented
104#10622823C2211yescharacteristic, complemented
105C2×C11⋊#95C2211yescharacteristic, complemented
106C2×C11⋊#95C2211yescharacteristic, complemented
107#10622607C2211yescharacteristic, complemented
108#10622603C2211yescharacteristic, complemented
109#10622600C2211yescharacteristic, complemented
110#10622600C2211yescharacteristic, complemented
111#10622599C2211yescharacteristic, complemented
112#10622595C2211yescharacteristic, complemented
113#10622595C2211yescharacteristic, complemented
114#10622591C2211yescharacteristic, complemented
115#10622574C2211yescharacteristic, complemented
116#10622574C2211yescharacteristic, complemented
117#10622572C2211yescharacteristic
118#10622572C2211yescharacteristic
119#10622572C2211yescharacteristic, complemented
120#10622572C2211yescharacteristic, complemented
121#10622571C2211yescharacteristic, complemented
122#10622571C2211yescharacteristic, complemented
123#10622571C2211yescharacteristic, complemented
124#10622570C2211yescharacteristic, complemented
125#10622570C2211yescharacteristic, complemented
126#10622569C2211yescharacteristic
127#10622569C2211yescharacteristic
128#10622569C2211yescharacteristic
129#10622569C2211yescharacteristic
130#10622569C2211yescharacteristic, complemented
131#10622569C2211yescharacteristic, complemented
132#10622569C2211yescharacteristic, complemented
133#10622569C2211yescharacteristic, complemented
134#10622569C2211yescharacteristic, complemented
135#10622569C2211yescharacteristic, complemented
136#10622569C2211yescharacteristic, complemented
137#10622569C2211yescharacteristic, complemented
138#10622569C2211yescharacteristic, complemented
139#10622569C2211yescharacteristic, complemented
140#10622568C2211yescharacteristic, complemented
141#10622566C2211yescharacteristic, complemented
142#10622566C2211yescharacteristic, complemented
143#10622566C2211yescharacteristic, complemented
144#10622566C2211yescharacteristic, complemented
145#10622566C2211yescharacteristic, complemented
146#10622565C2211yescharacteristic, complemented
147#10622565C2211yescharacteristic, complemented
148#10622565C2211yescharacteristic, complemented
149#10622565C2211yescharacteristic, complemented
150#10622564C2211yescharacteristic, complemented
151#10622564C2211yescharacteristic, complemented
152#10622564C2211yescharacteristic, complemented
153#10622564C2211yescharacteristic, complemented
154#10622564C2211yescharacteristic, complemented
155#10622563C2211yescharacteristic, complemented
156#10622563C2211yescharacteristic, complemented
157#10622562C2211yescharacteristic, complemented
158#10622561C2211yescharacteristic, complemented
159#10622561C2211yescharacteristic, complemented
160#10622561C2211yescharacteristic, complemented
161#10622560C2211yescharacteristic, complemented
162#10622560C2211yescharacteristic, complemented
163#10622560C2211yescharacteristic, complemented
164#10622559C2211yescharacteristic, complemented
165#10622559C2211yescharacteristic, complemented
166#10622558C2211yescharacteristic, complemented
167#10622557C2211yescharacteristic, complemented
168#10622556C2211yescharacteristic, complemented
169#10622555C2211yescharacteristic, complemented
170C22⋊C4×Dic11C2211yescharacteristic, complemented
171#10622288C2211yescharacteristic, complemented
172#10622286C2211yescharacteristic, complemented
173#10622283C2211yescharacteristic, complemented
174#10622282C2211yescharacteristic, complemented
175#10622281C2211yescharacteristic, complemented
176#10622281C2211yescharacteristic, complemented
177#10622277C2211yescharacteristic, complemented
178#10622277C2211yescharacteristic, complemented
179C11⋊#401C2211yescharacteristic, complemented
180C11⋊#401C2211yescharacteristic, complemented
181#10622273C2211yescharacteristic, complemented
182#10622273C2211yescharacteristic, complemented
183#10622272C2211yescharacteristic, complemented
184#10622271C2211yescharacteristic, complemented
185#10622266C2211yescharacteristic, complemented
186#10622264C2211yescharacteristic, complemented
187C25×C11C2311yescharacteristic
188C25×C11C2311yescharacteristic
189C24×D11C2311yescharacteristic
190C22×D4×C11—24no—
191C22×D4×C11—42no—
192C22×D4×C11—42no—
193C22×D4×C11C2311yescharacteristic
194C22×D4×C11C2311yescharacteristic
195C22×D4×C11C2311yescharacteristic
196C22×D4×C11C2311yescharacteristic
197C22×D4×C11C2311yescharacteristic
198C22×D4×C11C2311yescharacteristic
199C22×D4×C11C2311yescharacteristic
200C22×D4×C11C2311yescharacteristic
201C22×D4×C11C2311yescharacteristic
202C23×C4×C11C2311yescharacteristic
203C23×C4×C11C2311yescharacteristic
204C23×C4×C11C2311yescharacteristic
205C22×C22⋊D11—24no—
206C22×C22⋊D11—42no—
207C22×C22⋊D11—42no—
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
220C23×Dic11C2311yescharacteristic
221C23×Dic11C2311yescharacteristic
222C23×Dic11C2311yescharacteristic
223C23×Dic11C2311yescharacteristic
224C22×C4×D11—42no—
225C22×C4×D11—42no—
226C22×C4×D11—42no—
227C22×C4×D11C2311yescharacteristic
228C22×C4×D11C2311yescharacteristic
229C22×C4×D11C2311yescharacteristic
230C22×C4×D11C2311yescharacteristic
231C22×Dic22C2311yescharacteristic
232C11×#121—42no—
233C11×#121—42no—
234C11×#120—24no—
235C11×#120—42no—
236C2×C11×C4⋊C4C2311yescharacteristic
237C2×C11×C4⋊C4C2311yescharacteristic
238C2×C11×C22⋊C4—42no—
239C2×C11×C22⋊C4C2311yescharacteristic
240C2×C11×C22⋊C4C2311yescharacteristic
241C2×C11×C22⋊C4C2311yescharacteristic
242C2×C11×C22⋊C4C2311yescharacteristic
243C2×C11×C22⋊C4C2311yescharacteristic
244C2×C11×C22⋊C4C2311yescharacteristic
245C2×C11×C22⋊C4C2311yescharacteristic
246C2×C11×C22⋊C4C2311yescharacteristic
247C2×C11×C22⋊C4C2311yescharacteristic
248C2×C11×C22⋊C4C2311yescharacteristic
249C2×C11×C22⋊C4C2311yescharacteristic
250C2×C11×C22⋊C4C2311yescharacteristic
251C2×C11×C22⋊C4C2311yescharacteristic
252C2×C11×C22⋊C4C2311yescharacteristic
253C2×C11×C22⋊C4C2311yescharacteristic
254#67006—42no—
255#67006—42no—
256C2×C22⋊Dic11—42no—
257C2×C22⋊Dic11—42no—
258C2×C22⋊Dic11C2311yescharacteristic
259C2×C22⋊Dic11C2311yescharacteristic
260C2×C22⋊Dic11C2311yescharacteristic
261C2×C22⋊Dic11C2311yescharacteristic
262C2×C22⋊Dic11C2311yescharacteristic
263C2×C22⋊Dic11C2311yescharacteristic
264C2×C22⋊Dic11C2311yescharacteristic
265C2×C22⋊Dic11C2311yescharacteristic
266C2×C22⋊Dic11C2311yescharacteristic
267C2×C22⋊Dic11C2311yescharacteristic
268C2×C22⋊Dic11C2311yescharacteristic
269C2×C22⋊Dic11C2311yescharacteristic
270C2×C22⋊Dic11C2311yescharacteristic
271C2×C22⋊Dic11C2311yescharacteristic
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#66992—42no—
291#66992—42no—
292#66991—42no—
293#66991—42no—
294#66990—42no—
295#66990—42no—
296#66990—42no—
297D4×Dic11—42no—
298C2×(C2×D11)⋊C4—42no—
299C2×(C2×D11)⋊C4C2311yescharacteristic
300C2×(C2×D11)⋊C4C2311yescharacteristic
301C2×(C2×D11)⋊C4C2311yescharacteristic
302C2×(C2×D11)⋊C4C2311yescharacteristic
303C2×(C2×D11)⋊C4C2311yescharacteristic
304C2×(C2×D11)⋊C4C2311yescharacteristic
305C2×(C2×D11)⋊C4C2311yescharacteristic
306C2×(C2×D11)⋊C4C2311yescharacteristic
307C2×(C2×D11)⋊C4C2311yescharacteristic
308C2×(C2×D11)⋊C4C2311yescharacteristic
309C2×(C2×D11)⋊C4C2311yescharacteristic
310C2×(C2×D11)⋊C4C2311yescharacteristic
311C2×(C2×D11)⋊C4C2311yescharacteristic
312C2×(C2×D11)⋊C4C2311yescharacteristic
313C2×C4⋊Dic11C2311yescharacteristic
314C2×C4⋊Dic11C2311yescharacteristic
315C2×C4⋊Dic11C2311yescharacteristic
316C2×C4⋊Dic11C2311yescharacteristic
317C2×C4⋊Dic11C2311yescharacteristic
318C2×C4⋊Dic11C2311yescharacteristic
319#66977—42no—
320C2×Dic11⋊C4C2311yescharacteristic
321C2×Dic11⋊C4C2311yescharacteristic
322C2×Dic11⋊C4C2311yescharacteristic
323C2×Dic11⋊C4C2311yescharacteristic
324C2×Dic11⋊C4C2311yescharacteristic
325C2×Dic11⋊C4C2311yescharacteristic
326C2×Dic11⋊C4C2311yescharacteristic
327C2×Dic11⋊C4C2311yescharacteristic
328C2×C4×Dic11C2311yescharacteristic
329C2×C4×Dic11C2311yescharacteristic
330C2×C4×Dic11C2311yescharacteristic
331#66938—42no—
332#66936—42no—
333#66936—42no—
334#66931—42no—
335C11×#95C2311yescharacteristic
336C11×#95C2311yescharacteristic
337C11×#95C2311yescharacteristic
338C11×#95C2311yescharacteristic
339C11⋊#95C2311yescharacteristic
340C11⋊#95C2311yescharacteristic
341C11⋊#95C2311yescharacteristic
342C11⋊#95C2311yescharacteristic
343C11⋊#95C2311yescharacteristic
344C11⋊#95C2311yescharacteristic
345C11⋊#95C2311yescharacteristic
346C11⋊#95C2311yescharacteristic
347C11⋊#95C2311yescharacteristic
348C11⋊#95C2311yescharacteristic
349C11⋊#95C2311yescharacteristic
350C11⋊#95C2311yescharacteristic
351C11⋊#95C2311yescharacteristic
352C11⋊#95C2311yescharacteristic
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
375#36776—111nomaximal, Sylow
376C24×C11—22no—
377C24×C11—22no—
378C24×C11—22no—
379C24×C11—41no—
380C24×C11—41no—
381C24×C11—41no—
382C24×C11—41no—
383C24×C11—41no—
384C24×C11—41no—
385C24×C11—41no—
386C24×C11—41no—
387C24×C11—41no—
388C24×C11—41no—
389C24×C11#4114yes—
390C24×C11C2411yescharacteristic
391C24×C11C2411yescharacteristic
392C24×C11C2411yescharacteristic
393C24×C11C2411yescharacteristic
394C24×C11C2411yescharacteristic
395C24×C11C2411yescharacteristic
396C23×D11—22no—
397C23×D11—22no—
398C23×D11—22no—
399C23×D11—22no—
400C23×D11—22no—
401C23×D11—41no—
402C23×D11—41no—
403C23×D11C2411yescharacteristic
404C23×D11C2411yescharacteristic
405C2×D4×C11—22no—
406C2×D4×C11—22no—
407C2×D4×C11—22no—
408C2×D4×C11—22no—
409C2×D4×C11—22no—
410C2×D4×C11—22no—
411C2×D4×C11—22no—
412C2×D4×C11—22no—
413C2×D4×C11—22no—
414C2×D4×C11—22no—
415C2×D4×C11—22no—
416C2×D4×C11—22no—
417C2×D4×C11—22no—
418C2×D4×C11—22no—
419C2×D4×C11—41no—
420C2×D4×C11—41no—
421C2×D4×C11—41no—
422C2×D4×C11—41no—
423C2×D4×C11—41no—
424C2×D4×C11—41no—
425C2×D4×C11—41no—
426C2×D4×C11—41no—
427C2×D4×C11—41no—
428C2×D4×C11—41no—
429C2×D4×C11—41no—
430C2×D4×C11—41no—
431C2×D4×C11—41no—
432C2×D4×C11—416no—
433C22×C4×C11—22no—
434C22×C4×C11—22no—
435C22×C4×C11—22no—
436C22×C4×C11—22no—
437C22×C4×C11—41no—
438C22×C4×C11—41no—
439C22×C4×C11—41no—
440C22×C4×C11—41no—
441C22×C4×C11—41no—
442C22×C4×C11C2411yescharacteristic
443C22×C4×C11C2411yescharacteristic
444C22×C4×C11C2411yescharacteristic
445C22×C4×C11C2411yescharacteristic
446C22×C4×C11C2411yescharacteristic
447C22×C4×C11C2411yescharacteristic
448C22×C4×C11C2411yescharacteristic
449C22×C4×C11C2411yescharacteristic
450C22×C4×C11C2411yescharacteristic
451C2×C22⋊D11—22no—
452C2×C22⋊D11—22no—
453C2×C22⋊D11—22no—
454C2×C22⋊D11—22no—
455C2×C22⋊D11—22no—
456C2×C22⋊D11—22no—
457C2×C22⋊D11—22no—
458C2×C22⋊D11—22no—
459C2×C22⋊D11—22no—
460C2×C22⋊D11—22no—
461C2×C22⋊D11—22no—
462C2×C22⋊D11—22no—
463C2×C22⋊D11—22no—
464C2×C22⋊D11—22no—
465C2×C22⋊D11—41no—
466C2×C22⋊D11—41no—
467C2×C22⋊D11—41no—
468C2×C22⋊D11—41no—
469C2×C22⋊D11—41no—
470C2×C22⋊D11—41no—
471C2×C22⋊D11—41no—
472C2×C22⋊D11—41no—
473C2×C22⋊D11—41no—
474C2×C22⋊D11—41no—
475C2×C22⋊D11—41no—
476C2×C22⋊D11—41no—
477C2×C22⋊D11—41no—
478C2×C22⋊D11—41no—
479C2×C22⋊D11—41no—
480C2×C22⋊D11—41no—
481C2×C22⋊D11—416no—
482C22×Dic11—22no—
483C22×Dic11—22no—
484C22×Dic11—22no—
485C22×Dic11—41no—
486C22×Dic11—41no—
487C22×Dic11—41no—
488C22×Dic11—41no—
489C22×Dic11—41no—
490C22×Dic11—41no—
491C22×Dic11—41no—
492C22×Dic11—41no—
493C22×Dic11—41no—
494C22×Dic11—41no—
495C22×Dic11—41no—
496C22×Dic11—41no—
497C22×Dic11—41no—
498C22×Dic11—41no—
499C22×Dic11—41no—
500C22×Dic11C2411yescharacteristic
501C22×Dic11C2411yescharacteristic
502C22×Dic11C2411yescharacteristic
503C22×Dic11C2411yescharacteristic
504C22×Dic11C2411yescharacteristic
505C22×Dic11C2411yescharacteristic
506C22×Dic11C2411yescharacteristic
507C22×Dic11C2411yescharacteristic
508C22×Dic11C2411yescharacteristic
509C22×Dic11C2411yescharacteristic
510C22×Dic11C2411yescharacteristic
511C22×Dic11C2411yescharacteristic
512C22×Dic11C2411yescharacteristic
513C22×Dic11C2411yescharacteristic
514C2×C4×D11—22no—
515C2×C4×D11—22no—
516C2×C4×D11—22no—
517C2×C4×D11—22no—
518C2×C4×D11—41no—
519C2×C4×D11—41no—
520C2×C4×D11—41no—
521C2×C4×D11—41no—
522C2×C4×D11—41no—
523C2×C4×D11—41no—
524C2×C4×D11—41no—
525C2×C4×D11—41no—
526C2×C4×D11—416no—
527C2×Dic22—41no—
528C2×Dic22—41no—
529C2×Dic22—41no—
530C11×C4⋊C4—41no—
531C11×C4⋊C4—41no—
532C11×C22⋊C4—22no—
533C11×C22⋊C4—22no—
534C11×C22⋊C4—22no—
535C11×C22⋊C4—22no—
536C11×C22⋊C4—22no—
537C11×C22⋊C4—22no—
538C11×C22⋊C4—41no—
539C11×C22⋊C4—41no—
540C11×C22⋊C4—41no—
541C11×C22⋊C4—41no—
542C11×C22⋊C4—41no—
543C11×C22⋊C4—41no—
544C11×C22⋊C4—41no—
545C11×C22⋊C4—41no—
546C11×C22⋊C4—41no—
547C22⋊Dic11—22no—
548C22⋊Dic11—22no—
549C22⋊Dic11—22no—
550C22⋊Dic11—22no—
551C22⋊Dic11—41no—
552C22⋊Dic11—41no—
553C22⋊Dic11—41no—
554C22⋊Dic11—41no—
555C22⋊Dic11—41no—
556C22⋊Dic11—41no—
557C22⋊Dic11—41no—
558C22⋊Dic11—41no—
559C22⋊Dic11—41no—
560C22⋊Dic11—41no—
561C22⋊Dic11—41no—
562C22⋊Dic11—41no—
563C22⋊Dic11—41no—
564C22⋊Dic11—41no—
565C22⋊Dic11—41no—
566C22⋊Dic11—41no—
567C22⋊Dic11—41no—
568C22⋊Dic11—41no—
569C22⋊Dic11—41no—
570C22⋊Dic11—41no—
571C22⋊Dic11—41no—
572C22⋊Dic11—41no—
573C22⋊Dic11—41no—
574C22⋊Dic11—41no—
575C22⋊Dic11—41no—
576C22⋊Dic11—41no—
577C22⋊Dic11—41no—
578(C2×D11)⋊C4—22no—
579(C2×D11)⋊C4—22no—
580(C2×D11)⋊C4—22no—
581(C2×D11)⋊C4—22no—
582(C2×D11)⋊C4—41no—
583(C2×D11)⋊C4—41no—
584(C2×D11)⋊C4—41no—
585(C2×D11)⋊C4—41no—
586(C2×D11)⋊C4—41no—
587(C2×D11)⋊C4—41no—
588(C2×D11)⋊C4—41no—
589(C2×D11)⋊C4—41no—
590(C2×D11)⋊C4—41no—
591(C2×D11)⋊C4—41no—
592C4⋊Dic11—22no—
593C4⋊Dic11—41no—
594C4⋊Dic11—41no—
595C4⋊Dic11—41no—
596C4⋊Dic11—41no—
597C4⋊Dic11—41no—
598Dic11⋊C4—22no—
599Dic11⋊C4—41no—
600Dic11⋊C4—41no—
601Dic11⋊C4—41no—
602Dic11⋊C4—41no—
603Dic11⋊C4—41no—
604Dic11⋊C4—41no—
605Dic11⋊C4—41no—
606C4×Dic11—41no—
607C4×Dic11—41no—
608C4×Dic11—41no—
609#2849—111no—
610#2847—111no—
611#2778—111no—
612#2778—111no—
613#2760—111no—
614#2750—111no—
615#2749—111no—
616#2749—111no—
617#2743—111no—
618#2703—111no—
619#2697—111no—
620#2696—111no—
621#2688—111no—
622#2688—111no—
623#2684—111no—
624#2678—111no—
625#2676—111no—
626#2668—111no—
627#2643—111no—
628#2639—111no—
629#2510—111no—
630#2472—111no—
631#2444—111no—
632#2437—111no—
633#2424—111no—
634#2410—111no—
635#2410D1111yescharacteristic, complemented
636#2403—111no—
637#2321—111no—
638#2308—111no—
639C2×#386—111no—
640C23×C11—21no—
641C23×C11—21no—
642C23×C11—21no—
643C23×C11—21no—
644C23×C11—21no—
645C23×C11—21no—
646C23×C11—21no—
647C23×C11—21no—
648C23×C11—21no—
649C23×C11—21no—
650C23×C11—21no—
651C23×C11—21no—
652C23×C11—21no—
653C23×C11—21no—
654C23×C11—21no—
655C23×C11—21no—
656C23×C11—28no—
657C23×C11—21no—
658C23×C11—21no—
659C23×C11—21no—
660C23×C11—21no—
661C23×C11—21no—
662C23×C11—21no—
663C23×C11—21no—
664C23×C11—21no—
665C23×C11—21no—
666C23×C11—21no—
667C23×C11—21no—
668C23×C11—21no—
669C23×C11—21no—
670C23×C11—21no—
671C23×C11—21no—
672C23×C11—21no—
673C23×C11—21no—
674C23×C11—21no—
675C23×C11—21no—
676C23×C11—21no—
677C23×C11—21no—
678C23×C11—44no—
679C23×C11—44no—
680C23×C11—44no—
681C23×C11—82no—
682C23×C11—82no—
683C23×C11—82no—
684C23×C11—82no—
685C23×C11—82no—
686C23×C11—82no—
687C23×C11—82no—
688C23×C11—82no—
689C23×C11—82no—
690C23×C11—82no—
691C23×C11C2×#4112yes—
692C23×C11C2×#4112yes—
693C23×C11C2×#4112yes—
694C23×C11H(5,𝔽2)12yes—
695C23×C11H(5,𝔽2)12yes—
696C23×C11C2511yescharacteristic
697C22×D11—28no—
698C22×D11—21no—
699C22×D11—21no—
700C22×D11—21no—
701C22×D11—21no—
702C22×D11—21no—
703C22×D11—21no—
704C22×D11—21no—
705C22×D11—21no—
706C22×D11—21no—
707C22×D11—21no—
708C22×D11—21no—
709C22×D11—21no—
710C22×D11—44no—
711C22×D11—44no—
712C22×D11—44no—
713C22×D11—44no—
714C22×D11—44no—
715C22×D11—44no—
716C22×D11H(5,𝔽2)12yes—
717C22×D11H(5,𝔽2)12yes—
718D4×C11—44no—
719D4×C11—44no—
720D4×C11—44no—
721D4×C11—44no—
722D4×C11—44no—
723D4×C11—82no—
724D4×C11—82no—
725D4×C11—82no—
726D4×C11—82no—
727C2×C4×C11—21no—
728C2×C4×C11—21no—
729C2×C4×C11—21no—
730C2×C4×C11—21no—
731C2×C4×C11—21no—
732C2×C4×C11—21no—
733C2×C4×C11—21no—
734C2×C4×C11—21no—
735C2×C4×C11—21no—
736C2×C4×C11—21no—
737C2×C4×C11—21no—
738C2×C4×C11—21no—
739C2×C4×C11—21no—
740C2×C4×C11—21no—
741C2×C4×C11—21no—
742C2×C4×C11—21no—
743C2×C4×C11—21no—
744C2×C4×C11—21no—
745C2×C4×C11—21no—
746C2×C4×C11—21no—
747C2×C4×C11—21no—
748C2×C4×C11—21no—
749C2×C4×C11—21no—
750C2×C4×C11—21no—
751C2×C4×C11—21no—
752C2×C4×C11—21no—
753C2×C4×C11—44no—
754C2×C4×C11—44no—
755C2×C4×C11—82no—
756C2×C4×C11H(5,𝔽2)12yes—
757C22⋊D11—44no—
758C22⋊D11—44no—
759C22⋊D11—44no—
760C22⋊D11—44no—
761C22⋊D11—82no—
762C22⋊D11—82no—
763C22⋊D11—82no—
764C22⋊D11—82no—
765C22⋊D11—82no—
766C22⋊D11—82no—
767C2×Dic11—21no—
768C2×Dic11—21no—
769C2×Dic11—21no—
770C2×Dic11—21no—
771C2×Dic11—21no—
772C2×Dic11—21no—
773C2×Dic11—21no—
774C2×Dic11—21no—
775C2×Dic11—21no—
776C2×Dic11—21no—
777C2×Dic11—21no—
778C2×Dic11—21no—
779C2×Dic11—21no—
780C2×Dic11—21no—
781C2×Dic11—21no—
782C2×Dic11—21no—
783C2×Dic11—21no—
784C2×Dic11—21no—
785C2×Dic11—21no—
786C2×Dic11—21no—
787C2×Dic11—21no—
788C2×Dic11—21no—
789C2×Dic11—21no—
790C2×Dic11—21no—
791C2×Dic11—21no—
792C2×Dic11—21no—
793C2×Dic11—21no—
794C2×Dic11—21no—
795C2×Dic11—21no—
796C2×Dic11—21no—
797C2×Dic11—21no—
798C2×Dic11—21no—
799C2×Dic11—21no—
800C2×Dic11—21no—
801C2×Dic11—21no—
802C2×Dic11—21no—
803C2×Dic11—21no—
804C2×Dic11—21no—
805C2×Dic11—21no—
806C2×Dic11—21no—
807C2×Dic11—21no—
808C2×Dic11—21no—
809C2×Dic11—44no—
810C2×Dic11—44no—
811C2×Dic11—82no—
812C2×Dic11—82no—
813C2×Dic11—82no—
814C2×Dic11—82no—
815C4×D11—44no—
816C4×D11—44no—
817C4×D11—44no—
818C4×D11—44no—
819Dic22—82no—
820C23×D4—111no—
821C23×D4C2×D1111yescharacteristic
822C24×C4—111no—
823C2×#124—111no—
824C2×#123—111no—
825C2×#123—111no—
826C2×C22⋊Q8—111no—
827C2×C22⋊Q8—111no—
828C2×#121—111no—
829C2×#121—111no—
830C2×#121—111no—
831C2×#121—111no—
832C2×#121—111no—
833C2×#121C2×D1111yescharacteristic
834C2×#121C2×D1111yescharacteristic
835C2×#120—111no—
836C2×#120—111no—
837C2×#120—111no—
838C2×#120—111no—
839C2×#120—111no—
840C2×#120C2×D1111yescharacteristic
841C2×#120C2×D1111yescharacteristic, complemented
842C2×C4×D4—111no—
843C22×C22⋊C4—111no—
844C22×C22⋊C4—111no—
845C22×C22⋊C4—111no—
846C22×C22⋊C4C2×D1111yescharacteristic
847#401—111no—
848#401—111no—
849#400—111no—
850#400—111no—
851#400—111no—
852#400—111no—
853#400—111no—
854#400—111no—
855#400—111no—
856#399—111no—
857#397—111no—
858#397—111no—
859#397—111no—
860#397—111no—
861#397—111no—
862#397—111no—
863#397—111no—
864#397—111no—
865#397—111no—
866#397—111no—
867#396—111no—
868#396—111no—
869#396—111no—
870#396—111no—
871#394—111no—
872#394—111no—
873#394—111no—
874#394—111no—
875#394—111no—
876#394—111no—
877#394—111no—
878#394—111no—
879#394—111no—
880#394C2×D1111yescharacteristic, complemented
881#394C2×D1111yescharacteristic, complemented
882#393—111no—
883#393—111no—
884#393—111no—
885#393—111no—
886#392—111no—
887#392—111no—
888#392—111no—
889#392—111no—
890#392—111no—
891#392—111no—
892#392—111no—
893#392C2×D1111yescharacteristic, complemented
894#392C2×D1111yescharacteristic, complemented
895#390—111no—
896#390—111no—
897#390—111no—
898#390—111no—
899#388—111no—
900#388—111no—
901#388—111no—
902#388—111no—
903#388—111no—
904#388—111no—
905#388—111no—
906#388—111no—
907#388—111no—
908#388—111no—
909#387—111no—
910#387—111no—
911#386—111no—
912#386—111no—
913#386—111no—
914#386—111no—
915#386—111no—
916#386—111no—
917#386—111no—
918#386—111no—
919#386—111no—
920#386—111no—
921#386—111no—
922#386—111no—
923#386—111no—
924#386—111no—
925#386—111no—
926#386—111no—
927#386—111no—
928#386—111no—
929#386—111no—
930#386—111no—
931#386—111no—
932#386—111no—
933#386—111no—
934#386—111no—
935#386—111no—
936#386—111no—
937#386—111no—
938#386—111no—
939#386—111no—
940#386—111no—
941#386—111no—
942#386—111no—
943#386—111no—
944#386—111no—
945#386C2×D1111yescharacteristic
946#386C2×D1111yescharacteristic
947#386C2×D1111yescharacteristic, complemented
948#385—111no—
949#385—111no—
950#385—111no—
951#385—111no—
952#385—111no—
953#385—111no—
954#385—111no—
955#385—111no—
956#385C2×D1111yescharacteristic, complemented
957#383—111no—
958#381—111no—
959#381—111no—
960#381—111no—
961#381—111no—
962#381—111no—
963#380—111no—
964#380—111no—
965#380—111no—
966#380—111no—
967#379—111no—
968#379—111no—
969#379—111no—
970#379—111no—
971#379C2×D1111yescharacteristic, complemented
972C4×C22⋊C4—111no—
973C2×#95—111no—
974C2×#95—111no—
975C22×C11—22no—
976C22×C11—22no—
977C22×C11—22no—
978C22×C11—22no—
979C22×C11—22no—
980C22×C11—22no—
981C22×C11—22no—
982C22×C11—22no—
983C22×C11—22no—
984C22×C11—22no—
985C22×C11—22no—
986C22×C11—22no—
987C22×C11—41no—
988C22×C11—41no—
989C22×C11—41no—
990C22×C11—41no—
991C22×C11—41no—
992C22×C11—41no—
993C22×C11—41no—
994C22×C11—41no—
995C22×C11—41no—
996C22×C11—41no—
997C22×C11—41no—
998C22×C11—41no—
999C22×C11—41no—
1000C22×C11—41no—
1001C22×C11—41no—
1002C22×C11—41no—
1003C22×C11—41no—
1004C22×C11—41no—
1005C22×C11—41no—
1006C22×C11—41no—
1007C22×C11—41no—
1008C22×C11—41no—
1009C22×C11—41no—
1010C22×C11—41no—
1011C22×C11—41no—
1012C22×C11—41no—
1013C22×C11—41no—
1014C22×C11—41no—
1015C22×C11—41no—
1016C22×C11—88no—
1017C22×C11—88no—
1018C22×C11#53814yes—
1019C22×C11C22×#4111yescharacteristic
1020C22×C11C2×H(5,𝔽2)11yescharacteristic
1021C22×C11C2×H(5,𝔽2)11yescharacteristic
1022C22×C11C2×H(5,𝔽2)11yescharacteristic
1023C22×C11C2×H(5,𝔽2)11yescharacteristic
1024C22×C11C2×H(5,𝔽2)11yescharacteristic
1025C22×C11#58511yescharacteristic
1026C2×D11—22no—
1027C2×D11—22no—
1028C2×D11—22no—
1029C2×D11—22no—
1030C2×D11—22no—
1031C2×D11—22no—
1032C2×D11—416no—
1033C2×D11—41no—
1034C2×D11—41no—
1035C2×D11—41no—
1036C2×D11—41no—
1037C2×D11—41no—
1038C2×D11—41no—
1039C2×D11—41no—
1040C2×D11—41no—
1041C4×C11—22no—
1042C4×C11—41no—
1043C4×C11—41no—
1044C4×C11—41no—
1045C4×C11—41no—
1046C4×C11—41no—
1047C4×C11—41no—
1048C4×C11—41no—
1049C4×C11—41no—
1050Dic11—41no—
1051Dic11—41no—
1052Dic11—41no—
1053Dic11—41no—
1054Dic11—41no—
1055Dic11—41no—
1056Dic11—41no—
1057Dic11—41no—
1058Dic11—41no—
1059Dic11—41no—
1060Dic11—41no—
1061Dic11—41no—
1062Dic11—41no—
1063Dic11—41no—
1064C25—111no—
1065C25C22×D1111yescharacteristic
1066C25C22×D1111yescharacteristic
1067C22×Q8—111no—
1068C22×D4—24no—
1069C22×D4—42no—
1070C22×D4—42no—
1071C22×D4—111no—
1072C22×D4—111no—
1073C22×D4—111no—
1074C22×D4—111no—
1075C22×D4—111no—
1076C22×D4—111no—
1077C22×D4—111no—
1078C22×D4—111no—
1079C22×D4—111no—
1080C22×D4—111no—
1081C22×D4—224no—
1082C22×D4—442no—
1083C22×D4—442no—
1084C22×D4C22×D1111yescharacteristic
1085C22×D4C22×D1111yescharacteristic
1086C22×D4C22×D1111yescharacteristic
1087C22×D4C22×D1111yescharacteristic
1088C22×D4C22×D1111yescharacteristic
1089C22×D4C22×D1111yescharacteristic
1090C22×D4C22×D1111yescharacteristic
1091C22×D4C22×D1111yescharacteristic
1092C22×D4C22×D1111yescharacteristic
1093C23×C4—111no—
1094C23×C4—111no—
1095C23×C4—111no—
1096C23×C4—111no—
1097C23×C4—111no—
1098C23×C4—111no—
1099C23×C4—111no—
1100C23×C4—111no—
1101C23×C4—111no—
1102C23×C4—111no—
1103C23×C4—442no—
1104C23×C4—442no—
1105C23×C4—442no—
1106C23×C4C22×D1111yescharacteristic
1107C23×C4C22×D1111yescharacteristic
1108C23×C4C22×D1111yescharacteristic
1109#124—442no—
1110#123—442no—
1111#123—442no—
1112C22⋊Q8—442no—
1113C22⋊Q8—442no—
1114#121—42no—
1115#121—42no—
1116#121—442no—
1117#121—442no—
1118#121—442no—
1119#121—442no—
1120#121—442no—
1121#120—24no—
1122#120—42no—
1123#120—442no—
1124#120—442no—
1125#120—442no—
1126#120—442no—
1127#120—442no—
1128C4×D4—442no—
1129C2×C4⋊C4—111no—
1130C2×C4⋊C4—111no—
1131C2×C4⋊C4—111no—
1132C2×C4⋊C4—111no—
1133C2×C4⋊C4—111no—
1134C2×C4⋊C4—111no—
1135C2×C4⋊C4—111no—
1136C2×C4⋊C4—111no—
1137C2×C4⋊C4—111no—
1138C2×C4⋊C4—111no—
1139C2×C4⋊C4—111no—
1140C2×C4⋊C4—111no—
1141C2×C4⋊C4—111no—
1142C2×C4⋊C4—111no—
1143C2×C4⋊C4C22×D1111yescharacteristic
1144C2×C4⋊C4C22×D1111yescharacteristic
1145C2×C22⋊C4—42no—
1146C2×C22⋊C4—111no—
1147C2×C22⋊C4—111no—
1148C2×C22⋊C4—111no—
1149C2×C22⋊C4—111no—
1150C2×C22⋊C4—111no—
1151C2×C22⋊C4—111no—
1152C2×C22⋊C4—111no—
1153C2×C22⋊C4—111no—
1154C2×C22⋊C4—111no—
1155C2×C22⋊C4—111no—
1156C2×C22⋊C4—111no—
1157C2×C22⋊C4—111no—
1158C2×C22⋊C4—111no—
1159C2×C22⋊C4—111no—
1160C2×C22⋊C4—111no—
1161C2×C22⋊C4—111no—
1162C2×C22⋊C4—111no—
1163C2×C22⋊C4—111no—
1164C2×C22⋊C4—111no—
1165C2×C22⋊C4—111no—
1166C2×C22⋊C4—111no—
1167C2×C22⋊C4—111no—
1168C2×C22⋊C4—111no—
1169C2×C22⋊C4—111no—
1170C2×C22⋊C4—111no—
1171C2×C22⋊C4—111no—
1172C2×C22⋊C4—111no—
1173C2×C22⋊C4—111no—
1174C2×C22⋊C4—111no—
1175C2×C22⋊C4—111no—
1176C2×C22⋊C4—111no—
1177C2×C22⋊C4—111no—
1178C2×C22⋊C4—111no—
1179C2×C22⋊C4—111no—
1180C2×C22⋊C4—111no—
1181C2×C22⋊C4—111no—
1182C2×C22⋊C4—111no—
1183C2×C22⋊C4—111no—
1184C2×C22⋊C4—111no—
1185C2×C22⋊C4—111no—
1186C2×C22⋊C4—111no—
1187C2×C22⋊C4—111no—
1188C2×C22⋊C4—111no—
1189C2×C22⋊C4—111no—
1190C2×C22⋊C4—111no—
1191C2×C22⋊C4—442no—
1192C2×C22⋊C4—442no—
1193C2×C22⋊C4—442no—
1194C2×C22⋊C4C22×D1111yescharacteristic
1195C2×C22⋊C4C22×D1111yescharacteristic
1196C2×C22⋊C4C22×D1111yescharacteristic
1197C2×C22⋊C4C22×D1111yescharacteristic
1198C2×C22⋊C4C22×D1111yescharacteristic
1199C2×C22⋊C4C22×D1111yescharacteristic
1200C2×C22⋊C4C22×D1111yescharacteristic
1201C2×C22⋊C4C22×D1111yescharacteristic
1202C2×C22⋊C4C22×D1111yescharacteristic
1203C2×C22⋊C4C22×D1111yescharacteristic
1204C2×C22⋊C4C22×D1111yescharacteristic
1205C2×C22⋊C4C22×D1111yescharacteristic
1206C2×C22⋊C4C22×D1111yescharacteristic
1207C2×C22⋊C4C22×D1111yescharacteristic
1208C2×C22⋊C4C22×D1111yescharacteristic
1209C2×C42—111no—
1210C2×C42—111no—
1211C2×C42—111no—
1212#95—111no—
1213#95—111no—
1214#95—111no—
1215#95—111no—
1216#95—111no—
1217#95—111no—
1218#95—111no—
1219#95—111no—
1220#95—111no—
1221#95—111no—
1222#95—111no—
1223#95—111no—
1224#95—111no—
1225#95—111no—
1226#95—111no—
1227#95—111no—
1228#95—111no—
1229#95—111no—
1230#95—111no—
1231#95—111no—
1232#95—111no—
1233#95—111no—
1234#95—111no—
1235#95—111no—
1236#95—111no—
1237#95—111no—
1238#95—111no—
1239#95—111no—
1240#95—111no—
1241#95—111no—
1242#95—111no—
1243#95—111no—
1244#95—111no—
1245#95—111no—
1246#95—111no—
1247#95—111no—
1248#95C22×D1111yescharacteristic
1249#95C22×D1111yescharacteristic
1250#95C22×D1111yescharacteristic
1251#95C22×D1111yescharacteristic
1252C2×C11—24no—
1253C2×C11—42no—
1254C2×C11—42no—
1255C2×C11—81no—
1256C2×C11—81no—
1257C2×C11—81no—
1258C2×C11C2×#53811yescharacteristic
1259C2×C11#349011yescharacteristic
1260C2×C11#350511yescharacteristic
1261C2×C11#353211yescharacteristic
1262C2×C11#353411yescharacteristic
1263C2×C11#353411yescharacteristic
1264C2×C11#353711yescharacteristic
1265D11—42no—
1266D11—42no—
1267C24—22no—
1268C24—22no—
1269C24—22no—
1270C24—41no—
1271C24—41no—
1272C24—41no—
1273C24—41no—
1274C24—41no—
1275C24—41no—
1276C24—41no—
1277C24—41no—
1278C24—41no—
1279C24—41no—
1280C24—111no—
1281C24—111no—
1282C24—222no—
1283C24—222no—
1284C24—222no—
1285C24—222no—
1286C24—222no—
1287C24—441no—
1288C24—441no—
1289C24#434114yes—
1290C24C23×D1111yescharacteristic
1291C24C23×D1111yescharacteristic
1292C24C23×D1111yescharacteristic
1293C24C23×D1111yescharacteristic
1294C24C23×D1111yescharacteristic
1295C24C23×D1111yescharacteristic
1296C2×Q8—441no—
1297C2×Q8—441no—
1298C2×Q8—441no—
1299C2×D4—22no—
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—22no—
1303C2×D4—22no—
1304C2×D4—22no—
1305C2×D4—22no—
1306C2×D4—22no—
1307C2×D4—22no—
1308C2×D4—22no—
1309C2×D4—22no—
1310C2×D4—22no—
1311C2×D4—22no—
1312C2×D4—22no—
1313C2×D4—41no—
1314C2×D4—41no—
1315C2×D4—41no—
1316C2×D4—41no—
1317C2×D4—41no—
1318C2×D4—41no—
1319C2×D4—41no—
1320C2×D4—41no—
1321C2×D4—41no—
1322C2×D4—41no—
1323C2×D4—41no—
1324C2×D4—41no—
1325C2×D4—41no—
1326C2×D4—416no—
1327C2×D4—222no—
1328C2×D4—222no—
1329C2×D4—222no—
1330C2×D4—222no—
1331C2×D4—222no—
1332C2×D4—222no—
1333C2×D4—222no—
1334C2×D4—222no—
1335C2×D4—222no—
1336C2×D4—222no—
1337C2×D4—222no—
1338C2×D4—222no—
1339C2×D4—222no—
1340C2×D4—222no—
1341C2×D4—441no—
1342C2×D4—441no—
1343C2×D4—441no—
1344C2×D4—441no—
1345C2×D4—441no—
1346C2×D4—441no—
1347C2×D4—441no—
1348C2×D4—441no—
1349C2×D4—441no—
1350C2×D4—441no—
1351C2×D4—441no—
1352C2×D4—441no—
1353C2×D4—441no—
1354C2×D4—441no—
1355C2×D4—441no—
1356C2×D4—441no—
1357C2×D4—4416no—
1358C22×C4—22no—
1359C22×C4—22no—
1360C22×C4—22no—
1361C22×C4—22no—
1362C22×C4—41no—
1363C22×C4—41no—
1364C22×C4—41no—
1365C22×C4—41no—
1366C22×C4—41no—
1367C22×C4—111no—
1368C22×C4—111no—
1369C22×C4—111no—
1370C22×C4—111no—
1371C22×C4—111no—
1372C22×C4—111no—
1373C22×C4—111no—
1374C22×C4—111no—
1375C22×C4—111no—
1376C22×C4—111no—
1377C22×C4—111no—
1378C22×C4—111no—
1379C22×C4—111no—
1380C22×C4—111no—
1381C22×C4—222no—
1382C22×C4—222no—
1383C22×C4—222no—
1384C22×C4—222no—
1385C22×C4—222no—
1386C22×C4—222no—
1387C22×C4—222no—
1388C22×C4—441no—
1389C22×C4—441no—
1390C22×C4—441no—
1391C22×C4—441no—
1392C22×C4—441no—
1393C22×C4—441no—
1394C22×C4—441no—
1395C22×C4—441no—
1396C22×C4—4416no—
1397C22×C4—441no—
1398C22×C4—441no—
1399C22×C4—441no—
1400C22×C4—441no—
1401C22×C4—441no—
1402C22×C4—441no—
1403C22×C4—441no—
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×C4C23×D1111yescharacteristic
1413C22×C4C23×D1111yescharacteristic
1414C22×C4C23×D1111yescharacteristic
1415C22×C4C23×D1111yescharacteristic
1416C22×C4C23×D1111yescharacteristic
1417C22×C4C23×D1111yescharacteristic
1418C22×C4C23×D1111yescharacteristic
1419C22×C4C23×D1111yescharacteristic
1420C22×C4C23×D1111yescharacteristic
1421C4⋊C4—41no—
1422C4⋊C4—41no—
1423C4⋊C4—222no—
1424C4⋊C4—222no—
1425C4⋊C4—441no—
1426C4⋊C4—441no—
1427C4⋊C4—441no—
1428C4⋊C4—441no—
1429C4⋊C4—441no—
1430C4⋊C4—441no—
1431C4⋊C4—441no—
1432C4⋊C4—441no—
1433C4⋊C4—441no—
1434C4⋊C4—441no—
1435C4⋊C4—441no—
1436C4⋊C4—441no—
1437C22⋊C4—22no—
1438C22⋊C4—22no—
1439C22⋊C4—22no—
1440C22⋊C4—22no—
1441C22⋊C4—22no—
1442C22⋊C4—22no—
1443C22⋊C4—41no—
1444C22⋊C4—41no—
1445C22⋊C4—41no—
1446C22⋊C4—41no—
1447C22⋊C4—41no—
1448C22⋊C4—41no—
1449C22⋊C4—41no—
1450C22⋊C4—41no—
1451C22⋊C4—41no—
1452C22⋊C4—222no—
1453C22⋊C4—222no—
1454C22⋊C4—222no—
1455C22⋊C4—222no—
1456C22⋊C4—222no—
1457C22⋊C4—222no—
1458C22⋊C4—222no—
1459C22⋊C4—222no—
1460C22⋊C4—441no—
1461C22⋊C4—441no—
1462C22⋊C4—441no—
1463C22⋊C4—441no—
1464C22⋊C4—441no—
1465C22⋊C4—441no—
1466C22⋊C4—441no—
1467C22⋊C4—441no—
1468C22⋊C4—441no—
1469C22⋊C4—441no—
1470C22⋊C4—441no—
1471C22⋊C4—441no—
1472C22⋊C4—441no—
1473C22⋊C4—441no—
1474C22⋊C4—441no—
1475C22⋊C4—441no—
1476C22⋊C4—441no—
1477C22⋊C4—441no—
1478C22⋊C4—441no—
1479C22⋊C4—441no—
1480C22⋊C4—441no—
1481C22⋊C4—441no—
1482C22⋊C4—441no—
1483C22⋊C4—441no—
1484C22⋊C4—441no—
1485C22⋊C4—441no—
1486C22⋊C4—441no—
1487C22⋊C4—441no—
1488C22⋊C4—441no—
1489C22⋊C4—441no—
1490C22⋊C4—441no—
1491C22⋊C4—441no—
1492C22⋊C4—441no—
1493C22⋊C4—441no—
1494C22⋊C4—441no—
1495C22⋊C4—441no—
1496C22⋊C4—441no—
1497C42—441no—
1498C42—441no—
1499C42—441no—
1500C11#3677611yescharacteristic, complemented, Sylow
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—28no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—44no—
1540C23—44no—
1541C23—44no—
1542C23—82no—
1543C23—82no—
1544C23—82no—
1545C23—82no—
1546C23—82no—
1547C23—82no—
1548C23—82no—
1549C23—82no—
1550C23—82no—
1551C23—82no—
1552C23—112no—
1553C23—112no—
1554C23—228no—
1555C23—221no—
1556C23—221no—
1557C23—221no—
1558C23—221no—
1559C23—221no—
1560C23—221no—
1561C23—221no—
1562C23—221no—
1563C23—221no—
1564C23—221no—
1565C23—221no—
1566C23—221no—
1567C23—444no—
1568C23—444no—
1569C23—444no—
1570C23—444no—
1571C23—444no—
1572C23—444no—
1573C23C2×#434112yes—
1574C23C2×#434112yes—
1575C23C2×#434112yes—
1576C23#6703712yes—
1577C23#6703712yes—
1578C23C24×D1111yescharacteristic
1579Q8—882no—
1580D4—44no—
1581D4—44no—
1582D4—44no—
1583D4—44no—
1584D4—44no—
1585D4—82no—
1586D4—82no—
1587D4—82no—
1588D4—82no—
1589D4—444no—
1590D4—444no—
1591D4—444no—
1592D4—444no—
1593D4—882no—
1594D4—882no—
1595D4—882no—
1596D4—882no—
1597D4—882no—
1598D4—882no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—44no—
1626C2×C4—44no—
1627C2×C4—82no—
1628C2×C4—221no—
1629C2×C4—221no—
1630C2×C4—221no—
1631C2×C4—221no—
1632C2×C4—221no—
1633C2×C4—221no—
1634C2×C4—221no—
1635C2×C4—221no—
1636C2×C4—221no—
1637C2×C4—221no—
1638C2×C4—221no—
1639C2×C4—221no—
1640C2×C4—221no—
1641C2×C4—221no—
1642C2×C4—221no—
1643C2×C4—221no—
1644C2×C4—221no—
1645C2×C4—221no—
1646C2×C4—221no—
1647C2×C4—221no—
1648C2×C4—221no—
1649C2×C4—221no—
1650C2×C4—221no—
1651C2×C4—221no—
1652C2×C4—221no—
1653C2×C4—221no—
1654C2×C4—221no—
1655C2×C4—221no—
1656C2×C4—221no—
1657C2×C4—221no—
1658C2×C4—221no—
1659C2×C4—221no—
1660C2×C4—221no—
1661C2×C4—221no—
1662C2×C4—221no—
1663C2×C4—221no—
1664C2×C4—221no—
1665C2×C4—221no—
1666C2×C4—221no—
1667C2×C4—221no—
1668C2×C4—221no—
1669C2×C4—221no—
1670C2×C4—444no—
1671C2×C4—444no—
1672C2×C4—444no—
1673C2×C4—444no—
1674C2×C4—444no—
1675C2×C4—444no—
1676C2×C4—882no—
1677C2×C4—882no—
1678C2×C4—882no—
1679C2×C4—882no—
1680C2×C4#6703712yes—
1681C22—22no—
1682C22—22no—
1683C22—22no—
1684C22—22no—
1685C22—22no—
1686C22—22no—
1687C22—22no—
1688C22—22no—
1689C22—22no—
1690C22—22no—
1691C22—22no—
1692C22—22no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—88no—
1723C22—88no—
1724C22—222no—
1725C22—222no—
1726C22—222no—
1727C22—222no—
1728C22—222no—
1729C22—222no—
1730C22—4416no—
1731C22—441no—
1732C22—441no—
1733C22—441no—
1734C22—441no—
1735C22—441no—
1736C22—441no—
1737C22—441no—
1738C22—441no—
1739C22#1062312414yes—
1740C22C22×#434111yescharacteristic
1741C22C2×#6703711yescharacteristic
1742C22C2×#6703711yescharacteristic
1743C22C2×#6703711yescharacteristic
1744C22#1062345311yescharacteristic
1745C22D11×H(5,𝔽2)11yescharacteristic
1746C22D11×H(5,𝔽2)11yescharacteristic
1747C4—22no—
1748C4—41no—
1749C4—41no—
1750C4—41no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C4—41no—
1755C4—41no—
1756C4—441no—
1757C4—441no—
1758C4—441no—
1759C4—441no—
1760C4—441no—
1761C4—441no—
1762C4—441no—
1763C4—441no—
1764C4—441no—
1765C4—441no—
1766C4—441no—
1767C4—441no—
1768C4—441no—
1769C4—441no—
1770C2—24no—
1771C2—42no—
1772C2—42no—
1773C2—81no—
1774C2—81no—
1775C2—81no—
1776C2—442no—
1777C2—442no—
1778C2C2×#1062312411yescharacteristic
1779C2#1308230411yescharacteristic
1780C2#1308245011yescharacteristic
1781C2#1308276611yescharacteristic
1782C2#1308279811yescharacteristic
1783C2#1308280111yescharacteristic
1784C2#1308284711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2410C2
hypercenter#2410D11
hypocenterC11#36776
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2410

Complements

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

NH ≅ G/Ntype
1. #13076907C2semidirect
2. #13076895C2semidirect
3. #13076239C2semidirect
4. #13076236C2semidirect
5. #13075992C2semidirect
6. #13075858C2semidirect
7. #13075843C2semidirect
8. #13075832C2semidirect
9. #13075750C2semidirect
10. #13075252C2semidirect
11. #13075179C2semidirect
12. #13075172C2semidirect
13. #13075058C2semidirect
14. #13075051C2semidirect
15. #13074996C2semidirect
16. #13074937C2semidirect
17. #13074922C2semidirect
18. #13074820C2semidirect
19. #13074571C2semidirect
20. #13074549C2semidirect
21. #13073180C2semidirect
22. #13072747C2semidirect
23. #13072362C2semidirect
24. #13072277C2semidirect
25. #13072158C2semidirect
26. #13071991C2semidirect
27. #13071926C2semidirect
28. #13071277C2semidirect
29. #13071194C2semidirect
30. C2×#10622569C2semidirect
31. C11×#2410C2semidirect
34. C23×C4×D11C22semidirect
38. C2×C11×#120C22semidirect
44. C2×#66992C22semidirect
45. C2×#66992C22semidirect
46. C2×#66992C22semidirect
47. C2×#66991C22semidirect
48. C2×#66991C22semidirect
51. C2×#66990C22semidirect
52. C2×D4×Dic11C22semidirect
53. C22×(C2×D11)⋊C4C22semidirect
54. C2×#66977C22semidirect
55. C2×#66938C22semidirect
56. C2×#66936C22semidirect
57. C2×#66936C22semidirect
58. C2×#66931C22semidirect
59. C11×#394C22semidirect
60. C11×#394C22semidirect
61. C11×#392C22semidirect
62. C11×#392C22semidirect
65. C11×#386C22semidirect
66. C11×#385C22semidirect
67. C11×#379C22semidirect
69. #10622860C22semidirect
70. #10622860C22semidirect
77. #10622836C22semidirect
78. #10622835C22semidirect
79. #10622835C22semidirect
80. #10622835C22semidirect
81. #10622834C22semidirect
82. #10622834C22semidirect
89. #10622833C22semidirect
90. #10622833C22semidirect
91. #10622833C22semidirect
92. #10622833C22semidirect
93. #10622833C22semidirect
94. #10622833C22semidirect
95. #10622833C22semidirect
96. #10622833C22semidirect
97. #10622833C22semidirect
100. #10622825C22semidirect
101. #10622824C22semidirect
102. #10622824C22semidirect
103. #10622823C22semidirect
104. #10622823C22semidirect
105. C2×C11⋊#95C22semidirect
106. C2×C11⋊#95C22semidirect
107. #10622607C22semidirect
108. #10622603C22semidirect
109. #10622600C22semidirect
110. #10622600C22semidirect
111. #10622599C22semidirect
112. #10622595C22semidirect
113. #10622595C22semidirect
114. #10622591C22semidirect
115. #10622574C22semidirect
116. #10622574C22semidirect
119. #10622572C22semidirect
120. #10622572C22semidirect
121. #10622571C22semidirect
122. #10622571C22semidirect
123. #10622571C22semidirect
124. #10622570C22semidirect
125. #10622570C22semidirect
130. #10622569C22semidirect
131. #10622569C22semidirect
132. #10622569C22semidirect
133. #10622569C22semidirect
134. #10622569C22semidirect
135. #10622569C22semidirect
136. #10622569C22semidirect
137. #10622569C22semidirect
138. #10622569C22semidirect
139. #10622569C22semidirect
140. #10622568C22semidirect
141. #10622566C22semidirect
142. #10622566C22semidirect
143. #10622566C22semidirect
144. #10622566C22semidirect
145. #10622566C22semidirect
146. #10622565C22semidirect
147. #10622565C22semidirect
148. #10622565C22semidirect
149. #10622565C22semidirect
150. #10622564C22semidirect
151. #10622564C22semidirect
152. #10622564C22semidirect
153. #10622564C22semidirect
154. #10622564C22semidirect
155. #10622563C22semidirect
156. #10622563C22semidirect
157. #10622562C22semidirect
158. #10622561C22semidirect
159. #10622561C22semidirect
160. #10622561C22semidirect
161. #10622560C22semidirect
162. #10622560C22semidirect
163. #10622560C22semidirect
164. #10622559C22semidirect
165. #10622559C22semidirect
166. #10622558C22semidirect
167. #10622557C22semidirect
168. #10622556C22semidirect
169. #10622555C22semidirect
170. C22⋊C4×Dic11C22semidirect
171. #10622288C22semidirect
172. #10622286C22semidirect
173. #10622283C22semidirect
174. #10622282C22semidirect
175. #10622281C22semidirect
176. #10622281C22semidirect
177. #10622277C22semidirect
178. #10622277C22semidirect
179. C11⋊#401C22semidirect
180. C11⋊#401C22semidirect
181. #10622273C22semidirect
182. #10622273C22semidirect
183. #10622272C22semidirect
184. #10622271C22semidirect
185. #10622266C22semidirect
186. #10622264C22semidirect
635. #2410D11semidirect
841. C2×#120C2×D11semidirect
880. #394C2×D11semidirect
881. #394C2×D11semidirect
893. #392C2×D11semidirect
894. #392C2×D11semidirect
947. #386C2×D11semidirect
956. #385C2×D11semidirect
971. #379C2×D11semidirect
1500. C11#36776semidirect

Maximal subgroups

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

subgroupindex
#130769072
#130768952
#130762392
#130762362
#130759922
#130758582
#130758432
#130758322
#130757502
#130752522
#130751792
#130751722
#130750582
#130750512
#130749962
#130749372
#130749222
#130748202
#130745712
#130745492
#130731802
#130727472
#130723622
#130722772
#130721582
#130719912
#130719262
#130712772
#130711942
C2×#106225692
C11×#24102
#3677611