Finite Group Databasebeta

← #14923945

Subgroups — #14923945

Order 2816.

2804 conjugacy classes of subgroups.

The subgroup lattice has 1708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623069C211yesmaximal, characteristic, complemented
2#13073756C211yesmaximal, characteristic, complemented
3#13073741C211yesmaximal, characteristic, complemented
4#13073726C211yesmaximal, characteristic, complemented
5#13073711C211yesmaximal, characteristic, complemented
6#13073698C211yesmaximal, characteristic, complemented
7#13073689C211yesmaximal, characteristic, complemented
8#13073672C211yesmaximal, characteristic, complemented
9#13073657C211yesmaximal, characteristic, complemented
10#13073624C211yesmaximal, characteristic, complemented
11#13073574C211yesmaximal, characteristic, complemented
12#13073544C211yesmaximal, characteristic, complemented
13#13073503C211yesmaximal, characteristic, complemented
14#13072948C211yesmaximal, characteristic, complemented
15#13072741C211yesmaximal, characteristic, complemented
16#13072173C211yesmaximal, characteristic, complemented
17#13072156C211yesmaximal, characteristic, complemented
18#13071884C211yesmaximal, characteristic, complemented
19#13071875C211yesmaximal, characteristic, complemented
20#13071854C211yesmaximal, characteristic, complemented
21#13071829C211yesmaximal, characteristic, complemented
22C4×#66989C211yesmaximal, characteristic, complemented
23C4×#66988C211yesmaximal, characteristic, complemented
24C4×#66992C211yesmaximal, characteristic, complemented
25C4×#66992C211yesmaximal, characteristic, complemented
26C4×#67006C211yesmaximal, characteristic, complemented
27#13071107C211yesmaximal, characteristic, complemented
28#13071075C211yesmaximal, characteristic, complemented
29C4×D4×Dic11C211yesmaximal, characteristic, complemented
30C2×C4×C22⋊Dic11C211yesmaximal, characteristic, complemented
31C2×C11×#525C211yesmaximal, characteristic, complemented
32C22×C11×#41C2211yescharacteristic
33C24×C4×C11C2211yescharacteristic
34C11×#525—28no—
35C2×C11×#123C2211yescharacteristic
36C2×C11×#123C2211yescharacteristic
37C2×C11×C22⋊Q8C2211yescharacteristic
38C2×C11×C22⋊Q8C2211yescharacteristic
39C2×C11×#121C2211yescharacteristic
40C2×C11×#121C2211yescharacteristic
41C2×C11×#120C2211yescharacteristic
42C2×C11×#120C2211yescharacteristic
43C2×C4×D4×C11C2211yescharacteristic
44C2×C4×D4×C11C2211yescharacteristic
45C2×C4×D4×C11C2211yescharacteristic
46C2×C4×D4×C11C2211yescharacteristic
47C2×C11×#117C2211yescharacteristic
48C2×#67006C2211yescharacteristic
49C22×C22⋊Dic11C2211yescharacteristic
50C22×C22⋊Dic11C2211yescharacteristic
51C2×#66992C2211yescharacteristic
52C2×#66992C2211yescharacteristic
53C2×#66992C2211yescharacteristic
54C2×#66989C2211yescharacteristic
55C2×#66988C2211yescharacteristic
56C2×#66988C2211yescharacteristic
57C2×D4×Dic11C2211yescharacteristic
58C2×D4×Dic11C2211yescharacteristic
59C2×C4×C22⋊D11C2211yescharacteristic
60C2×C4×C22⋊D11C2211yescharacteristic
61C2×C4×C22⋊D11C2211yescharacteristic
62C2×C4×C22⋊D11C2211yescharacteristic, complemented
63C2×C4×C22⋊D11C2211yescharacteristic, complemented
64C2×#66979C2211yescharacteristic, complemented
65C22×C4×Dic11C2211yescharacteristic
66C22×C4×Dic11C2211yescharacteristic
67C22×C4×Dic11C2211yescharacteristic, complemented
68#10623069—28no—
69C2×#66951C2211yescharacteristic, complemented
70C2×#66942C2211yescharacteristic, complemented
71C2×#66939C2211yescharacteristic
72C2×#66938C2211yescharacteristic, complemented
73C2×#66932C2211yescharacteristic, complemented
74C2×#66931C2211yescharacteristic
75C2×#66925C2211yescharacteristic, complemented
76C2×C4×Dic22C2211yescharacteristic, complemented
77#10622860C2211yescharacteristic
78#10622844C2211yescharacteristic, complemented
79#10622843C2211yescharacteristic, complemented
80#10622843C2211yescharacteristic, complemented
81#10622842C2211yescharacteristic, complemented
82#10622836C2211yescharacteristic
83#10622836C2211yescharacteristic
84#10622836C2211yescharacteristic
85#10622836C2211yescharacteristic, complemented
86#10622835C2211yescharacteristic
87#10622835C2211yescharacteristic
88#10622835C2211yescharacteristic
89#10622835C2211yescharacteristic
90#10622835C2211yescharacteristic
91#10622835C2211yescharacteristic, complemented
92#10622834C2211yescharacteristic
93#10622834C2211yescharacteristic
94#10622834C2211yescharacteristic
95#10622833C2211yescharacteristic
96#10622833C2211yescharacteristic
97#10622833C2211yescharacteristic
98#10622833C2211yescharacteristic
99#10622833C2211yescharacteristic
100#10622833C2211yescharacteristic, complemented
101#10622833C2211yescharacteristic, complemented
102#10622826C2211yescharacteristic
103#10622826C2211yescharacteristic
104#10622826C2211yescharacteristic
105#10622823C2211yescharacteristic
106#10622823C2211yescharacteristic
107#10622823C2211yescharacteristic
108C4×C22⋊Dic11C2211yescharacteristic
109C4×C22⋊Dic11C2211yescharacteristic
110C4×C22⋊Dic11C2211yescharacteristic
111C4×C22⋊Dic11C2211yescharacteristic
112C4×C22⋊Dic11C2211yescharacteristic
113C4×C22⋊Dic11C2211yescharacteristic
114C4×C22⋊Dic11C2211yescharacteristic
115C4×C22⋊Dic11C2211yescharacteristic
116C4×C22⋊Dic11C2211yescharacteristic
117C4×C22⋊Dic11C2211yescharacteristic
118C4×C22⋊Dic11C2211yescharacteristic
119C4×C22⋊Dic11C2211yescharacteristic, complemented
120C4×C22⋊Dic11C2211yescharacteristic, complemented
121C4×C22⋊Dic11C2211yescharacteristic, complemented
122C4×C22⋊Dic11C2211yescharacteristic, complemented
123C2×C11⋊#95C2211yescharacteristic
124C2×C11⋊#95C2211yescharacteristic
125#10622606C2211yescharacteristic, complemented
126#10622603C2211yescharacteristic, complemented
127#10622603C2211yescharacteristic, complemented
128#10622603C2211yescharacteristic, complemented
129#10622603C2211yescharacteristic, complemented
130#10622599C2211yescharacteristic, complemented
131#10622599C2211yescharacteristic, complemented
132#10622597C2211yescharacteristic, complemented
133#10622597C2211yescharacteristic, complemented
134#10622596C2211yescharacteristic, complemented
135#10622593C2211yescharacteristic, complemented
136#10622592C2211yescharacteristic, complemented
137#10622591C2211yescharacteristic, complemented
138#10622591C2211yescharacteristic, complemented
139#10622590C2211yescharacteristic, complemented
140C4⋊C4×Dic11C2211yescharacteristic, complemented
141C4⋊C4×Dic11C2211yescharacteristic, complemented
142#10622587C2211yescharacteristic, complemented
143#10622585C2211yescharacteristic, complemented
144#10622585C2211yescharacteristic, complemented
145#10622585C2211yescharacteristic, complemented
146#10622585C2211yescharacteristic, complemented
147#10622574C2211yescharacteristic
148#10622574C2211yescharacteristic, complemented
149#10622571C2211yescharacteristic
150#10622571C2211yescharacteristic, complemented
151#10622570C2211yescharacteristic
152#10622570C2211yescharacteristic
153#10622570C2211yescharacteristic
154#10622570C2211yescharacteristic, complemented
155#10622566C2211yescharacteristic
156#10622565C2211yescharacteristic, complemented
157#10622565C2211yescharacteristic, complemented
158#10622562C2211yescharacteristic
159#10622562C2211yescharacteristic
160#10622561C2211yescharacteristic
161#10622561C2211yescharacteristic
162#10622561C2211yescharacteristic
163#10622561C2211yescharacteristic, complemented
164#10622560C2211yescharacteristic
165#10622559C2211yescharacteristic
166#10622558C2211yescharacteristic
167#10622558C2211yescharacteristic
168#10622558C2211yescharacteristic
169#10622558C2211yescharacteristic
170#10622558C2211yescharacteristic
171#10622558C2211yescharacteristic, complemented
172#10622558C2211yescharacteristic, complemented
173#10622558C2211yescharacteristic, complemented
174#10622557C2211yescharacteristic, complemented
175#10622557C2211yescharacteristic, complemented
176#10622556C2211yescharacteristic
177#10622555C2211yescharacteristic
178#10622555C2211yescharacteristic, complemented
179C22⋊C4×Dic11C2211yescharacteristic
180C22⋊C4×Dic11C2211yescharacteristic
181C22⋊C4×Dic11C2211yescharacteristic, complemented
182C22⋊C4×Dic11C2211yescharacteristic, complemented
183C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
184C4×C4⋊Dic11C2211yescharacteristic, complemented
185C4×Dic11⋊C4C2211yescharacteristic, complemented
186C4×Dic11⋊C4C2211yescharacteristic, complemented
187C4×Dic11⋊C4C2211yescharacteristic, complemented
188C42×Dic11C2211yescharacteristic, complemented
189C25×C11C2311yescharacteristic
190C2×C11×#41—24no—
191C2×C11×#41—24no—
192C2×C11×#41—42no—
193C22×Q8×C11C2311yescharacteristic
194C22×D4×C11C2311yescharacteristic
195C22×D4×C11C2311yescharacteristic
196C22×D4×C11C2311yescharacteristic
197C22×D4×C11C2311yescharacteristic
198C22×D4×C11C2311yescharacteristic
199C22×D4×C11C2311yescharacteristic
200C22×D4×C11C2311yescharacteristic
201C23×C4×C11—24no—
202C23×C4×C11—24no—
203C23×C4×C11—42no—
204C23×C4×C11C2311yescharacteristic
205C23×C4×C11C2311yescharacteristic
206C23×C4×C11C2311yescharacteristic
207C23×C4×C11C2311yescharacteristic
208C23×C4×C11C2311yescharacteristic
209C23×C4×C11C2311yescharacteristic
210C23×C4×C11C2311yescharacteristic
211C23×C4×C11C2311yescharacteristic
212C22×C22⋊D11C2311yescharacteristic
213C22×C22⋊D11C2311yescharacteristic
214C22×C22⋊D11C2311yescharacteristic
215C22×C22⋊D11C2311yescharacteristic
216C22×C22⋊D11C2311yescharacteristic
217C23×Dic11C2311yescharacteristic
218C23×Dic11C2311yescharacteristic
219C23×Dic11C2311yescharacteristic
220C23×Dic11C2311yescharacteristic
221C23×Dic11C2311yescharacteristic
222C23×Dic11C2311yescharacteristic
223C22×C4×D11C2311yescharacteristic
224C22×Dic22C2311yescharacteristic
225C11×#123—24no—
226C11×#123—24no—
227C11×C22⋊Q8—24no—
228C11×C22⋊Q8—24no—
229C11×#121—24no—
230C11×#121—24no—
231C11×#120—24no—
232C11×#120—24no—
233C4×D4×C11—24no—
234C4×D4×C11—24no—
235C4×D4×C11—24no—
236C4×D4×C11D418yescomplemented
237C11×#117—24no—
238C2×C11×C4⋊C4C2311yescharacteristic
239C2×C11×C4⋊C4C2311yescharacteristic
240C2×C11×C4⋊C4C2311yescharacteristic
241C2×C11×C4⋊C4C2311yescharacteristic
242C2×C11×C4⋊C4C2311yescharacteristic
243C2×C11×C4⋊C4C2311yescharacteristic
244C2×C11×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
254C2×C42×C11C2311yescharacteristic
255C2×C42×C11C2311yescharacteristic
256#67006—24no—
257C2×C22⋊Dic11—24no—
258C2×C22⋊Dic11—24no—
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
288#66992—24no—
289#66992—24no—
290#66992—24no—
291#66989—24no—
292#66988—24no—
293#66988—24no—
294D4×Dic11—24no—
295D4×Dic11—24no—
296C4×C22⋊D11—24no—
297C4×C22⋊D11—24no—
298C4×C22⋊D11—24no—
299C4×C22⋊D11—42no—
300C4×C22⋊D11—42no—
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
310#66979—24no—
311C2×C4⋊Dic11C2311yescharacteristic
312C2×C4⋊Dic11C2311yescharacteristic
313C2×C4⋊Dic11C2311yescharacteristic
314C2×C4⋊Dic11C2311yescharacteristic
315C2×C4⋊Dic11C2311yescharacteristic
316C2×Dic11⋊C4C2311yescharacteristic
317C2×Dic11⋊C4C2311yescharacteristic
318C2×Dic11⋊C4C2311yescharacteristic
319C2×Dic11⋊C4C2311yescharacteristic
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×Dic11⋊C4C2311yescharacteristic
329C2×Dic11⋊C4C2311yescharacteristic
330C2×Dic11⋊C4C2311yescharacteristic
331C2×C4×Dic11—24no—
332C2×C4×Dic11—42no—
333C2×C4×Dic11—42no—
334C2×C4×Dic11C2311yescharacteristic
335C2×C4×Dic11C2311yescharacteristic
336C2×C4×Dic11C2311yescharacteristic
337C2×C4×Dic11C2311yescharacteristic
338C2×C4×Dic11C2311yescharacteristic
339C2×C4×Dic11C2311yescharacteristic
340C2×C4×Dic11C2311yescharacteristic
341C2×C4×Dic11C2311yescharacteristic
342C2×C4×Dic11C2311yescharacteristic
343C2×C4×Dic11C2311yescharacteristic
344C2×C4×Dic11C2311yescharacteristic
345C2×C4×Dic11C2311yescharacteristic
346C2×C4×Dic11C2311yescharacteristic
347C2×C4×Dic11C2311yescharacteristic
348C2×C4×Dic11C2311yescharacteristic
349C2×C4×Dic11C2311yescharacteristic
350C2×C4×Dic11C2311yescharacteristic
351#66951—24no—
352#66942—24no—
353#66939—24no—
354#66938—24no—
355#66932—24no—
356#66931—24no—
357#66925—24no—
358C4×Dic22—24no—
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
385C11⋊#95C2311yescharacteristic
386C11⋊#95C2311yescharacteristic
387C11⋊#95C2311yescharacteristic
388C11⋊#95C2311yescharacteristic
389C11⋊#95C2311yescharacteristic
390C11⋊#95C2311yescharacteristic
391#34829—111nomaximal, Sylow
392C24×C11—22no—
393C24×C11—22no—
394C24×C11—22no—
395C24×C11—22no—
396C24×C11—22no—
397C24×C11—41no—
398C24×C11—41no—
399C24×C11C2411yescharacteristic
400C24×C11C2411yescharacteristic
401C24×C11C2411yescharacteristic
402C24×C11C2411yescharacteristic
403C24×C11C2411yescharacteristic
404C23×D11C2411yescharacteristic
405C11×#41—416no—
406C2×Q8×C11—22no—
407C2×Q8×C11—22no—
408C2×Q8×C11—41no—
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—22no—
420C2×D4×C11—22no—
421C2×D4×C11—22no—
422C2×D4×C11—22no—
423C2×D4×C11—22no—
424C2×D4×C11—41no—
425C2×D4×C11—41no—
426C2×D4×C11—41no—
427C2×D4×C11—41no—
428C2×D4×C11—41no—
429C2×D4×C11C2×D414yes—
430C22×C4×C11—22no—
431C22×C4×C11—22no—
432C22×C4×C11—22no—
433C22×C4×C11—22no—
434C22×C4×C11—22no—
435C22×C4×C11—22no—
436C22×C4×C11—22no—
437C22×C4×C11—22no—
438C22×C4×C11—22no—
439C22×C4×C11—22no—
440C22×C4×C11—22no—
441C22×C4×C11—22no—
442C22×C4×C11—22no—
443C22×C4×C11—22no—
444C22×C4×C11—22no—
445C22×C4×C11—22no—
446C22×C4×C11—22no—
447C22×C4×C11—22no—
448C22×C4×C11—41no—
449C22×C4×C11—41no—
450C22×C4×C11—41no—
451C22×C4×C11—416no—
452C22×C4×C11C2×D414yes—
453C22×C4×C11C2×D414yes—
454C22×C4×C11#4114yes—
455C22×C4×C11C2411yescharacteristic
456C22×C4×C11C2411yescharacteristic
457C22×C4×C11C2411yescharacteristic
458C22×C4×C11C2411yescharacteristic
459C22×C4×C11C2411yescharacteristic
460C22×C4×C11C2411yescharacteristic
461C22×C4×C11C2411yescharacteristic
462C22×C4×C11C2411yescharacteristic
463C22×C4×C11C2411yescharacteristic
464C22×C4×C11C2411yescharacteristic
465C2×C22⋊D11—22no—
466C2×C22⋊D11—22no—
467C2×C22⋊D11—22no—
468C2×C22⋊D11—22no—
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—41no—
476C2×C22⋊D11—41no—
477C2×C22⋊D11—41no—
478C2×C22⋊D11—41no—
479C2×C22⋊D11—41no—
480C22×Dic11—22no—
481C22×Dic11—22no—
482C22×Dic11—22no—
483C22×Dic11—22no—
484C22×Dic11—22no—
485C22×Dic11—22no—
486C22×Dic11—22no—
487C22×Dic11—22no—
488C22×Dic11—22no—
489C22×Dic11—22no—
490C22×Dic11—41no—
491C22×Dic11—41no—
492C22×Dic11—41no—
493C22×Dic11—41no—
494C22×Dic11—41no—
495C22×Dic11—41no—
496C22×Dic11—41no—
497C22×Dic11#4114yescomplemented
498C22×Dic11C2411yescharacteristic
499C22×Dic11C2411yescharacteristic
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
513C2×C4×D11—22no—
514C2×C4×D11—22no—
515C2×C4×D11—22no—
516C2×Dic22—22no—
517C2×Dic22—22no—
518C2×Dic22—41no—
519C11×C4⋊C4—22no—
520C11×C4⋊C4—22no—
521C11×C4⋊C4—22no—
522C11×C4⋊C4—22no—
523C11×C4⋊C4—22no—
524C11×C4⋊C4C2×D414yes—
525C11×C22⋊C4—22no—
526C11×C22⋊C4—22no—
527C11×C22⋊C4—22no—
528C11×C22⋊C4—22no—
529C11×C22⋊C4—22no—
530C11×C22⋊C4—22no—
531C11×C22⋊C4—22no—
532C11×C22⋊C4—22no—
533C11×C22⋊C4C2×D414yes—
534C11×C22⋊C4C2×D414yes—
535C42×C11—22no—
536C42×C11C2×D414yes—
537C22⋊Dic11—22no—
538C22⋊Dic11—22no—
539C22⋊Dic11—22no—
540C22⋊Dic11—22no—
541C22⋊Dic11—22no—
542C22⋊Dic11—22no—
543C22⋊Dic11—22no—
544C22⋊Dic11—22no—
545C22⋊Dic11—22no—
546C22⋊Dic11—22no—
547C22⋊Dic11—22no—
548C22⋊Dic11—22no—
549C22⋊Dic11—22no—
550C22⋊Dic11—22no—
551C22⋊Dic11—22no—
552C22⋊Dic11—22no—
553C22⋊Dic11—22no—
554C22⋊Dic11—22no—
555C22⋊Dic11—22no—
556C22⋊Dic11—22no—
557C22⋊Dic11—22no—
558C22⋊Dic11—22no—
559C22⋊Dic11—22no—
560C22⋊Dic11—41no—
561C22⋊Dic11—41no—
562C22⋊Dic11—41no—
563C22⋊Dic11—41no—
564C22⋊Dic11#4114yescomplemented
565C22⋊Dic11#4114yescomplemented
566(C2×D11)⋊C4—22no—
567(C2×D11)⋊C4—22no—
568(C2×D11)⋊C4—22no—
569(C2×D11)⋊C4—22no—
570(C2×D11)⋊C4—22no—
571(C2×D11)⋊C4—22no—
572(C2×D11)⋊C4—22no—
573(C2×D11)⋊C4—41no—
574(C2×D11)⋊C4—41no—
575C4⋊Dic11—22no—
576C4⋊Dic11—22no—
577C4⋊Dic11—22no—
578C4⋊Dic11—22no—
579C4⋊Dic11—22no—
580Dic11⋊C4—22no—
581Dic11⋊C4—22no—
582Dic11⋊C4—22no—
583Dic11⋊C4—22no—
584Dic11⋊C4—22no—
585Dic11⋊C4—22no—
586Dic11⋊C4—22no—
587Dic11⋊C4—22no—
588Dic11⋊C4—22no—
589Dic11⋊C4—22no—
590Dic11⋊C4—22no—
591Dic11⋊C4—41no—
592Dic11⋊C4—41no—
593Dic11⋊C4—41no—
594Dic11⋊C4—41no—
595C4×Dic11—22no—
596C4×Dic11—22no—
597C4×Dic11—22no—
598C4×Dic11—22no—
599C4×Dic11—22no—
600C4×Dic11—22no—
601C4×Dic11—22no—
602C4×Dic11—22no—
603C4×Dic11—22no—
604C4×Dic11—22no—
605C4×Dic11—22no—
606C4×Dic11—22no—
607C4×Dic11—41no—
608C4×Dic11—41no—
609C4×Dic11—41no—
610C4×Dic11—41no—
611C4×Dic11—41no—
612C2×#529—111no—
613C2×#525D1111yescharacteristic, complemented
614#2560—111no—
615#2559—111no—
616#2558—111no—
617#2557—111no—
618#2556—111no—
619#2555—111no—
620#2554—111no—
621#2553—111no—
622#2549—111no—
623#2543—111no—
624#2539—111no—
625#2534—111no—
626#2488—111no—
627#2472—111no—
628#2425—111no—
629#2424—111no—
630#2396—111no—
631#2395—111no—
632#2392—111no—
633#2388—111no—
634C4×#124—111no—
635C4×#123—111no—
636C4×#121—111no—
637C4×#121—111no—
638C4×#120—111no—
639#2297—111no—
640#2293—111no—
641C42×D4—111no—
642C2×C4×C22⋊C4—111no—
643C23×C11—21no—
644C23×C11—21no—
645C23×C11—21no—
646C23×C11—21no—
647C23×C11—28no—
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—21no—
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—44no—
674C23×C11—44no—
675C23×C11—44no—
676C23×C11—44no—
677C23×C11—44no—
678C23×C11—44no—
679C23×C11C22×D412yes—
680C23×C11C22×D412yes—
681C23×C11C2×#4112yes—
682C23×C11C2×#4112yes—
683C23×C11C2×#4112yes—
684C23×C11C2×#4112yes—
685C23×C11C2511yescharacteristic
686C22×D11—21no—
687C22×D11—21no—
688C22×D11—21no—
689C22×D11—21no—
690C22×D11—21no—
691C22×D11—21no—
692C22×D11—21no—
693Q8×C11—44no—
694D4×C11—28no—
695D4×C11—44no—
696D4×C11—44no—
697D4×C11—44no—
698D4×C11—44no—
699D4×C11—44no—
700D4×C11—44no—
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—28no—
712C2×C4×C11—28no—
713C2×C4×C11—28no—
714C2×C4×C11—21no—
715C2×C4×C11—21no—
716C2×C4×C11—21no—
717C2×C4×C11—21no—
718C2×C4×C11—21no—
719C2×C4×C11—21no—
720C2×C4×C11—21no—
721C2×C4×C11—21no—
722C2×C4×C11—21no—
723C2×C4×C11—21no—
724C2×C4×C11—21no—
725C2×C4×C11—21no—
726C2×C4×C11—44no—
727C2×C4×C11—44no—
728C2×C4×C11—44no—
729C2×C4×C11—44no—
730C2×C4×C11—44no—
731C2×C4×C11C22×D412yes—
732C2×C4×C11C22×D412yes—
733C2×C4×C11C22×D412yes—
734C2×C4×C11C22×D412yes—
735C2×C4×C11C22×D412yes—
736C2×C4×C11C2×#4112yes—
737C2×C4×C11C2×#4112yes—
738C2×C4×C11H(5,𝔽2)12yes—
739C22⋊D11—44no—
740C22⋊D11—44no—
741C22⋊D11—44no—
742C22⋊D11—44no—
743C22⋊D11—44no—
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—21no—
759C2×Dic11—21no—
760C2×Dic11—21no—
761C2×Dic11—21no—
762C2×Dic11—21no—
763C2×Dic11—21no—
764C2×Dic11—21no—
765C2×Dic11—21no—
766C2×Dic11—21no—
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—44no—
784C2×Dic11—44no—
785C2×Dic11—44no—
786C2×Dic11—44no—
787C2×Dic11—44no—
788C2×Dic11—44no—
789C2×Dic11C2×#4112yes—
790C2×Dic11C2×#4112yes—
791C2×Dic11C2×#4112yes—
792C2×Dic11C2×#4112yes—
793C2×Dic11C2×#4112yes—
794C2×Dic11C2×#4112yes—
795C4×D11—44no—
796Dic22—44no—
797C22×#41C2×D1111yescharacteristic
798C24×C4C2×D1111yescharacteristic
799#529—228no—
800C2×#126—111no—
801C2×#126—111no—
802C2×#125—111no—
803C2×#124—111no—
804C2×#124—111no—
805#525—28no—
806C2×#123—111no—
807C2×#123—111no—
808C2×#123—111no—
809C2×#123C2×D1111yescharacteristic
810C2×#123C2×D1111yescharacteristic
811C2×C22⋊Q8—111no—
812C2×C22⋊Q8C2×D1111yescharacteristic
813C2×C22⋊Q8C2×D1111yescharacteristic
814C2×#121—111no—
815C2×#121—111no—
816C2×#121—111no—
817C2×#121C2×D1111yescharacteristic
818C2×#121C2×D1111yescharacteristic
819C2×#120—111no—
820C2×#120C2×D1111yescharacteristic
821C2×#120C2×D1111yescharacteristic
822C2×C4×Q8—111no—
823C2×C4×D4—111no—
824C2×C4×D4—111no—
825C2×C4×D4—111no—
826C2×C4×D4—111no—
827C2×C4×D4—111no—
828C2×C4×D4—111no—
829C2×C4×D4—111no—
830C2×C4×D4C2×D1111yescharacteristic
831C2×C4×D4C2×D1111yescharacteristic
832C2×C4×D4C2×D1111yescharacteristic
833C2×C4×D4C2×D1111yescharacteristic
834C2×#117—111no—
835C2×#117—111no—
836C2×#117C2×D1111yescharacteristic
837C22×C22⋊C4—111no—
838C22×C22⋊C4—111no—
839C22×C42—111no—
840C22×C42—111no—
841C22×C42—111no—
842#400—111no—
843#400—111no—
844#399—111no—
845#399—111no—
846#398—111no—
847#398—111no—
848#398—111no—
849#398—111no—
850#397—111no—
851#397—111no—
852#397—111no—
853#397—111no—
854#396—111no—
855#396—111no—
856#396—111no—
857#396—111no—
858#395—111no—
859#395—111no—
860#394—111no—
861#394—111no—
862#394—111no—
863#394—111no—
864#394—111no—
865#394—111no—
866#394—111no—
867#394—111no—
868#393—111no—
869#393—111no—
870#392—111no—
871#392—111no—
872#392—111no—
873#392—111no—
874#391—111no—
875#391—111no—
876#391—111no—
877#390—111no—
878#390—111no—
879#390—111no—
880#390—111no—
881#390—111no—
882#390—111no—
883#390—111no—
884#389—111no—
885#389—111no—
886#389—111no—
887#389—111no—
888#388—111no—
889#388—111no—
890#388—111no—
891#388—111no—
892#388—111no—
893#388—111no—
894#388—111no—
895#388—111no—
896#388—111no—
897#388—111no—
898#388—111no—
899#388—111no—
900#388—111no—
901#388—111no—
902#387—111no—
903#387—111no—
904#386—111no—
905#386—111no—
906#386—111no—
907#386—111no—
908#386—111no—
909#386—111no—
910#386—111no—
911#386—111no—
912#386—111no—
913#386—111no—
914#386—111no—
915#386—111no—
916#385—111no—
917#385—111no—
918#385—111no—
919#385—111no—
920#382—111no—
921#381—111no—
922#380—111no—
923#380—111no—
924#379—111no—
925C4×C4⋊C4—111no—
926C4×C4⋊C4—111no—
927C4×C4⋊C4—111no—
928C4×C4⋊C4—111no—
929C4×C4⋊C4—111no—
930C4×C4⋊C4—111no—
931C4×C22⋊C4—111no—
932C4×C22⋊C4—111no—
933C4×C22⋊C4—111no—
934C4×C22⋊C4—111no—
935C4×C22⋊C4—111no—
936C4×C22⋊C4—111no—
937C4×C22⋊C4—111no—
938C4×C22⋊C4—111no—
939C4×C22⋊C4—111no—
940C4×C22⋊C4—111no—
941C4×C22⋊C4—111no—
942C4×C22⋊C4—111no—
943C4×C22⋊C4—111no—
944C4×C22⋊C4—111no—
945C4×C22⋊C4—111no—
946C4×C22⋊C4—111no—
947C4×C22⋊C4—111no—
948C4×C22⋊C4—111no—
949C4×C22⋊C4—111no—
950C4×C22⋊C4—111no—
951C2×#95—111no—
952C2×#95—111no—
953C43—111no—
954C22×C11—22no—
955C22×C11—22no—
956C22×C11—22no—
957C22×C11—22no—
958C22×C11—22no—
959C22×C11—22no—
960C22×C11—22no—
961C22×C11—22no—
962C22×C11—22no—
963C22×C11—22no—
964C22×C11—22no—
965C22×C11—22no—
966C22×C11—22no—
967C22×C11—22no—
968C22×C11—22no—
969C22×C11—416no—
970C22×C11—41no—
971C22×C11—41no—
972C22×C11—41no—
973C22×C11—41no—
974C22×C11—41no—
975C22×C11—41no—
976C22×C11—41no—
977C22×C11—41no—
978C22×C11—41no—
979C22×C11—41no—
980C22×C11—41no—
981C22×C11—41no—
982C22×C11—41no—
983C22×C11—41no—
984C22×C11—41no—
985C22×C11—41no—
986C22×C11—41no—
987C22×C11—41no—
988C22×C11—41no—
989C22×C11#53214yes—
990C22×C11C23×D411yescharacteristic
991C22×C11C22×#4111yescharacteristic
992C22×C11C22×#4111yescharacteristic
993C22×C11C22×#4111yescharacteristic
994C22×C11C22×#4111yescharacteristic
995C22×C11C2×H(5,𝔽2)11yescharacteristic
996C22×C11#58511yescharacteristic
997C2×D11—41no—
998C2×D11—41no—
999C2×D11—41no—
1000C2×D11—41no—
1001C2×D11—41no—
1002C2×D11—41no—
1003C2×D11—41no—
1004C4×C11—22no—
1005C4×C11—22no—
1006C4×C11—22no—
1007C4×C11—22no—
1008C4×C11—22no—
1009C4×C11—41no—
1010C4×C11—41no—
1011C4×C11—41no—
1012C4×C11—41no—
1013C4×C11#54614yes—
1014Dic11—22no—
1015Dic11—22no—
1016Dic11—22no—
1017Dic11—22no—
1018Dic11—22no—
1019Dic11—22no—
1020Dic11—41no—
1021Dic11—41no—
1022Dic11—41no—
1023Dic11—41no—
1024Dic11—41no—
1025Dic11—41no—
1026Dic11—41no—
1027Dic11—41no—
1028Dic11—41no—
1029C25C22×D1111yescharacteristic
1030C2×#41—24no—
1031C2×#41—24no—
1032C2×#41—42no—
1033C22×Q8—111no—
1034C22×Q8C22×D1111yescharacteristic
1035C22×D4—111no—
1036C22×D4—111no—
1037C22×D4—111no—
1038C22×D4—111no—
1039C22×D4—111no—
1040C22×D4C22×D1111yescharacteristic
1041C22×D4C22×D1111yescharacteristic
1042C22×D4C22×D1111yescharacteristic
1043C22×D4C22×D1111yescharacteristic
1044C22×D4C22×D1111yescharacteristic
1045C22×D4C22×D1111yescharacteristic
1046C22×D4C22×D1111yescharacteristic
1047C23×C4—24no—
1048C23×C4—24no—
1049C23×C4—42no—
1050C23×C4—111no—
1051C23×C4—111no—
1052C23×C4—111no—
1053C23×C4—111no—
1054C23×C4—111no—
1055C23×C4—111no—
1056C23×C4—111no—
1057C23×C4C22×D1111yescharacteristic
1058C23×C4C22×D1111yescharacteristic
1059C23×C4C22×D1111yescharacteristic
1060C23×C4C22×D1111yescharacteristic
1061C23×C4C22×D1111yescharacteristic
1062C23×C4C22×D1111yescharacteristic
1063C23×C4C22×D1111yescharacteristic
1064C23×C4C22×D1111yescharacteristic
1065#126—224no—
1066#126—224no—
1067#125—224no—
1068#124—224no—
1069#124—224no—
1070#123—24no—
1071#123—24no—
1072#123—224no—
1073#123—224no—
1074#123—224no—
1075C22⋊Q8—24no—
1076C22⋊Q8—24no—
1077C22⋊Q8—224no—
1078#121—24no—
1079#121—24no—
1080#121—224no—
1081#121—224no—
1082#121—224no—
1083#120—24no—
1084#120—24no—
1085#120—224no—
1086C4×Q8—224no—
1087C4×D4—24no—
1088C4×D4—24no—
1089C4×D4—24no—
1090C4×D4—224no—
1091C4×D4—224no—
1092C4×D4—224no—
1093C4×D4—224no—
1094C4×D4—224no—
1095C4×D4—442no—
1096C4×D4—442no—
1097C4×D4C22⋊D1118yescomplemented
1098#117—24no—
1099#117—224no—
1100#117—224no—
1101C2×C4⋊C4—111no—
1102C2×C4⋊C4—111no—
1103C2×C4⋊C4—111no—
1104C2×C4⋊C4—111no—
1105C2×C4⋊C4—111no—
1106C2×C4⋊C4—111no—
1107C2×C4⋊C4—111no—
1108C2×C4⋊C4—111no—
1109C2×C4⋊C4—111no—
1110C2×C4⋊C4—111no—
1111C2×C4⋊C4—111no—
1112C2×C4⋊C4—111no—
1113C2×C4⋊C4—111no—
1114C2×C4⋊C4—111no—
1115C2×C4⋊C4—111no—
1116C2×C4⋊C4—111no—
1117C2×C4⋊C4—111no—
1118C2×C4⋊C4—111no—
1119C2×C4⋊C4—111no—
1120C2×C4⋊C4—111no—
1121C2×C4⋊C4C22×D1111yescharacteristic
1122C2×C4⋊C4C22×D1111yescharacteristic
1123C2×C4⋊C4C22×D1111yescharacteristic
1124C2×C4⋊C4C22×D1111yescharacteristic
1125C2×C4⋊C4C22×D1111yescharacteristic
1126C2×C4⋊C4C22×D1111yescharacteristic
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—111no—
1141C2×C22⋊C4—111no—
1142C2×C22⋊C4—111no—
1143C2×C22⋊C4—111no—
1144C2×C22⋊C4—111no—
1145C2×C22⋊C4—111no—
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—224no—
1166C2×C22⋊C4—224no—
1167C2×C22⋊C4C22×D1111yescharacteristic
1168C2×C22⋊C4C22×D1111yescharacteristic
1169C2×C22⋊C4C22×D1111yescharacteristic
1170C2×C22⋊C4C22×D1111yescharacteristic
1171C2×C22⋊C4C22×D1111yescharacteristic
1172C2×C22⋊C4C22×D1111yescharacteristic
1173C2×C22⋊C4C22×D1111yescharacteristic
1174C2×C22⋊C4C22×D1111yescharacteristic
1175C2×C22⋊C4C22×D1111yescharacteristic
1176C2×C22⋊C4C22×D1111yescharacteristic
1177C2×C42—111no—
1178C2×C42—111no—
1179C2×C42—111no—
1180C2×C42—111no—
1181C2×C42—111no—
1182C2×C42—111no—
1183C2×C42—111no—
1184C2×C42—111no—
1185C2×C42—111no—
1186C2×C42—111no—
1187C2×C42—111no—
1188C2×C42—111no—
1189C2×C42—111no—
1190C2×C42—111no—
1191C2×C42—111no—
1192C2×C42—111no—
1193C2×C42—111no—
1194C2×C42—224no—
1195C2×C42—442no—
1196C2×C42—442no—
1197C2×C42C22×D1111yescharacteristic
1198C2×C42C22×D1111yescharacteristic
1199#95—111no—
1200#95—111no—
1201#95—111no—
1202#95—111no—
1203#95—111no—
1204#95—111no—
1205#95—111no—
1206#95—111no—
1207#95—111no—
1208#95—111no—
1209#95—111no—
1210#95—111no—
1211#95—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—
1231C2×C11—24no—
1232C2×C11—42no—
1233C2×C11—42no—
1234C2×C11—42no—
1235C2×C11—81no—
1236C2×C11C2×#53211yescharacteristic
1237C2×C11#344411yescharacteristic
1238C2×C11#345911yescharacteristic
1239C2×C11C2×#54611yescharacteristic
1240C2×C11D4×#4111yescharacteristic
1241C2×C11#347511yescharacteristic
1242C2×C11#348111yescharacteristic
1243D11—81no—
1244C24—22no—
1245C24—22no—
1246C24—22no—
1247C24—22no—
1248C24—22no—
1249C24—41no—
1250C24—41no—
1251C24—111no—
1252C24C23×D1111yescharacteristic
1253C24C23×D1111yescharacteristic
1254C24C23×D1111yescharacteristic
1255C24C23×D1111yescharacteristic
1256C24C23×D1111yescharacteristic
1257#41—416no—
1258C2×Q8—22no—
1259C2×Q8—22no—
1260C2×Q8—41no—
1261C2×Q8—222no—
1262C2×Q8—222no—
1263C2×Q8—441no—
1264C2×D4—22no—
1265C2×D4—22no—
1266C2×D4—22no—
1267C2×D4—22no—
1268C2×D4—22no—
1269C2×D4—22no—
1270C2×D4—22no—
1271C2×D4—22no—
1272C2×D4—22no—
1273C2×D4—22no—
1274C2×D4—22no—
1275C2×D4—22no—
1276C2×D4—22no—
1277C2×D4—22no—
1278C2×D4—22no—
1279C2×D4—41no—
1280C2×D4—41no—
1281C2×D4—41no—
1282C2×D4—41no—
1283C2×D4—41no—
1284C2×D4—222no—
1285C2×D4—222no—
1286C2×D4—222no—
1287C2×D4—222no—
1288C2×D4—222no—
1289C2×D4—222no—
1290C2×D4—222no—
1291C2×D4—222no—
1292C2×D4—222no—
1293C2×D4—222no—
1294C2×D4—441no—
1295C2×D4—441no—
1296C2×D4—441no—
1297C2×D4—441no—
1298C2×D4—441no—
1299C2×D4C2×C22⋊D1114yes—
1300C22×C4—22no—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—22no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—41no—
1319C22×C4—41no—
1320C22×C4—41no—
1321C22×C4—416no—
1322C22×C4—111no—
1323C22×C4—111no—
1324C22×C4—111no—
1325C22×C4—111no—
1326C22×C4—111no—
1327C22×C4—111no—
1328C22×C4—114no—
1329C22×C4—111no—
1330C22×C4—111no—
1331C22×C4—111no—
1332C22×C4—111no—
1333C22×C4—111no—
1334C22×C4—111no—
1335C22×C4—111no—
1336C22×C4—111no—
1337C22×C4—111no—
1338C22×C4—222no—
1339C22×C4—222no—
1340C22×C4—222no—
1341C22×C4—222no—
1342C22×C4—222no—
1343C22×C4—222no—
1344C22×C4—222no—
1345C22×C4—222no—
1346C22×C4—222no—
1347C22×C4—222no—
1348C22×C4—222no—
1349C22×C4—222no—
1350C22×C4—222no—
1351C22×C4—441no—
1352C22×C4—441no—
1353C22×C4—441no—
1354C22×C4—441no—
1355C22×C4—441no—
1356C22×C4—441no—
1357C22×C4—441no—
1358C22×C4#434114yes—
1359C22×C4C2×C22⋊D1114yes—
1360C22×C4C2×C22⋊D1114yes—
1361C22×C4C23×D1111yescharacteristic
1362C22×C4C23×D1111yescharacteristic
1363C22×C4C23×D1111yescharacteristic
1364C22×C4C23×D1111yescharacteristic
1365C22×C4C23×D1111yescharacteristic
1366C22×C4C23×D1111yescharacteristic
1367C22×C4C23×D1111yescharacteristic
1368C22×C4C23×D1111yescharacteristic
1369C22×C4C23×D1111yescharacteristic
1370C22×C4C23×D1111yescharacteristic
1371C4⋊C4—22no—
1372C4⋊C4—22no—
1373C4⋊C4—22no—
1374C4⋊C4—22no—
1375C4⋊C4—22no—
1376C4⋊C4—222no—
1377C4⋊C4—222no—
1378C4⋊C4—222no—
1379C4⋊C4—222no—
1380C4⋊C4—222no—
1381C4⋊C4—222no—
1382C4⋊C4—222no—
1383C4⋊C4—222no—
1384C4⋊C4—222no—
1385C4⋊C4—222no—
1386C4⋊C4—222no—
1387C4⋊C4—222no—
1388C4⋊C4—222no—
1389C4⋊C4—222no—
1390C4⋊C4—222no—
1391C4⋊C4—222no—
1392C4⋊C4—441no—
1393C4⋊C4—441no—
1394C4⋊C4—441no—
1395C4⋊C4—441no—
1396C4⋊C4C2×C22⋊D1114yes—
1397C22⋊C4—22no—
1398C22⋊C4—22no—
1399C22⋊C4—22no—
1400C22⋊C4—22no—
1401C22⋊C4—22no—
1402C22⋊C4—22no—
1403C22⋊C4—22no—
1404C22⋊C4—22no—
1405C22⋊C4—114no—
1406C22⋊C4—114no—
1407C22⋊C4—222no—
1408C22⋊C4—222no—
1409C22⋊C4—222no—
1410C22⋊C4—222no—
1411C22⋊C4—222no—
1412C22⋊C4—222no—
1413C22⋊C4—222no—
1414C22⋊C4—222no—
1415C22⋊C4—222no—
1416C22⋊C4—222no—
1417C22⋊C4—222no—
1418C22⋊C4—222no—
1419C22⋊C4—222no—
1420C22⋊C4—222no—
1421C22⋊C4—222no—
1422C22⋊C4—222no—
1423C22⋊C4—222no—
1424C22⋊C4—222no—
1425C22⋊C4—222no—
1426C22⋊C4—222no—
1427C22⋊C4—222no—
1428C22⋊C4—222no—
1429C22⋊C4—222no—
1430C22⋊C4—222no—
1431C22⋊C4—222no—
1432C22⋊C4—222no—
1433C22⋊C4—222no—
1434C22⋊C4—222no—
1435C22⋊C4—222no—
1436C22⋊C4—222no—
1437C22⋊C4—441no—
1438C22⋊C4—441no—
1439C22⋊C4—441no—
1440C22⋊C4—441no—
1441C22⋊C4—441no—
1442C22⋊C4—441no—
1443C22⋊C4C2×C22⋊D1114yes—
1444C22⋊C4C2×C22⋊D1114yes—
1445C42—22no—
1446C42—222no—
1447C42—222no—
1448C42—222no—
1449C42—222no—
1450C42—222no—
1451C42—222no—
1452C42—222no—
1453C42—222no—
1454C42—222no—
1455C42—222no—
1456C42—222no—
1457C42—222no—
1458C42—441no—
1459C42—441no—
1460C42—441no—
1461C42—441no—
1462C42—441no—
1463C42C2×C22⋊D1114yes—
1464C11#3482911yescharacteristic, complemented, Sylow
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—28no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—44no—
1496C23—44no—
1497C23—44no—
1498C23—44no—
1499C23—44no—
1500C23—44no—
1501C23—221no—
1502C23—221no—
1503C23—221no—
1504C23—221no—
1505C23—221no—
1506C23—221no—
1507C23—221no—
1508C23C2×#434112yes—
1509C23#41×D1112yes—
1510C23#41×D1112yes—
1511C23#41×D1112yes—
1512C23C22×C22⋊D1112yes—
1513C23C22×C22⋊D1112yes—
1514C23C24×D1111yescharacteristic
1515Q8—44no—
1516Q8—444no—
1517D4—28no—
1518D4—44no—
1519D4—44no—
1520D4—44no—
1521D4—44no—
1522D4—44no—
1523D4—44no—
1524D4—444no—
1525D4—444no—
1526D4—444no—
1527D4—444no—
1528D4—444no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—28no—
1540C2×C4—28no—
1541C2×C4—28no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—44no—
1555C2×C4—44no—
1556C2×C4—44no—
1557C2×C4—44no—
1558C2×C4—44no—
1559C2×C4—112no—
1560C2×C4—112no—
1561C2×C4—112no—
1562C2×C4—112no—
1563C2×C4—112no—
1564C2×C4—112no—
1565C2×C4—221no—
1566C2×C4—221no—
1567C2×C4—221no—
1568C2×C4—221no—
1569C2×C4—221no—
1570C2×C4—221no—
1571C2×C4—221no—
1572C2×C4—221no—
1573C2×C4—221no—
1574C2×C4—221no—
1575C2×C4—221no—
1576C2×C4—221no—
1577C2×C4—221no—
1578C2×C4—221no—
1579C2×C4—221no—
1580C2×C4—221no—
1581C2×C4—221no—
1582C2×C4—221no—
1583C2×C4—221no—
1584C2×C4—221no—
1585C2×C4—221no—
1586C2×C4—221no—
1587C2×C4—221no—
1588C2×C4—221no—
1589C2×C4—221no—
1590C2×C4—221no—
1591C2×C4—221no—
1592C2×C4—221no—
1593C2×C4—221no—
1594C2×C4—221no—
1595C2×C4—221no—
1596C2×C4—221no—
1597C2×C4—221no—
1598C2×C4—221no—
1599C2×C4—221no—
1600C2×C4—221no—
1601C2×C4—221no—
1602C2×C4—221no—
1603C2×C4—221no—
1604C2×C4—444no—
1605C2×C4—444no—
1606C2×C4—444no—
1607C2×C4—444no—
1608C2×C4—444no—
1609C2×C4—444no—
1610C2×C4—444no—
1611C2×C4C2×#434112yes—
1612C2×C4C2×#434112yes—
1613C2×C4#6703712yes—
1614C2×C4C22×C22⋊D1112yes—
1615C2×C4C22×C22⋊D1112yes—
1616C2×C4C22×C22⋊D1112yes—
1617C2×C4C22×C22⋊D1112yes—
1618C2×C4C22×C22⋊D1112yes—
1619C22—22no—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—22no—
1624C22—22no—
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—22no—
1629C22—22no—
1630C22—22no—
1631C22—22no—
1632C22—22no—
1633C22—22no—
1634C22—416no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—441no—
1655C22—441no—
1656C22—441no—
1657C22—441no—
1658C22—441no—
1659C22—441no—
1660C22—441no—
1661C22#1062336314yes—
1662C22C22×#434111yescharacteristic
1663C22C2×#6703711yescharacteristic
1664C22C2×#41×D1111yescharacteristic
1665C22C2×#41×D1111yescharacteristic
1666C22C2×#41×D1111yescharacteristic
1667C22#1062345311yescharacteristic
1668C22C23×C22⋊D1111yescharacteristic
1669C4—22no—
1670C4—22no—
1671C4—22no—
1672C4—22no—
1673C4—22no—
1674C4—41no—
1675C4—41no—
1676C4—41no—
1677C4—41no—
1678C4—222no—
1679C4—222no—
1680C4—222no—
1681C4—222no—
1682C4—222no—
1683C4—222no—
1684C4—441no—
1685C4—441no—
1686C4—441no—
1687C4—441no—
1688C4—441no—
1689C4—441no—
1690C4—441no—
1691C4—441no—
1692C4—441no—
1693C4#1062333714yes—
1694C2—24no—
1695C2—42no—
1696C2—42no—
1697C2—42no—
1698C2—81no—
1699C2—881no—
1700C2C2×#1062336311yescharacteristic
1701C2#1308190811yescharacteristic
1702C2#1308202311yescharacteristic
1703C2C2×#1062333711yescharacteristic
1704C2#41×C22⋊D1111yescharacteristic
1705C2#1308217611yescharacteristic
1706C2#1308221811yescharacteristic
subgroupG/H
centerC22×C4C23×D11
commutator, socle, cosocleC23×C11C25
FrattiniC23C24×D11
FittingC2×C11×#525C2
hypercenterC2×#525D11
hypocenterC11#34829
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ C2×#525

Complements

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

NH ≅ G/Ntype
1. C2×#10623069C2semidirect
2. #13073756C2semidirect
3. #13073741C2semidirect
4. #13073726C2semidirect
5. #13073711C2semidirect
6. #13073698C2semidirect
7. #13073689C2semidirect
8. #13073672C2semidirect
9. #13073657C2semidirect
10. #13073624C2semidirect
11. #13073574C2semidirect
12. #13073544C2semidirect
13. #13073503C2semidirect
14. #13072948C2semidirect
15. #13072741C2semidirect
16. #13072173C2semidirect
17. #13072156C2semidirect
18. #13071884C2semidirect
19. #13071875C2semidirect
20. #13071854C2semidirect
21. #13071829C2semidirect
22. C4×#66989C2semidirect
23. C4×#66988C2semidirect
24. C4×#66992C2semidirect
25. C4×#66992C2semidirect
26. C4×#67006C2semidirect
27. #13071107C2semidirect
28. #13071075C2semidirect
29. C4×D4×Dic11C2semidirect
30. C2×C4×C22⋊Dic11C2semidirect
31. C2×C11×#525C2semidirect
62. C2×C4×C22⋊D11C22semidirect
63. C2×C4×C22⋊D11C22semidirect
64. C2×#66979C22semidirect
67. C22×C4×Dic11C22semidirect
69. C2×#66951C22semidirect
70. C2×#66942C22semidirect
72. C2×#66938C22semidirect
73. C2×#66932C22semidirect
75. C2×#66925C22semidirect
76. C2×C4×Dic22C22semidirect
78. #10622844C22semidirect
79. #10622843C22semidirect
80. #10622843C22semidirect
81. #10622842C22semidirect
85. #10622836C22semidirect
91. #10622835C22semidirect
100. #10622833C22semidirect
101. #10622833C22semidirect
119. C4×C22⋊Dic11C22semidirect
120. C4×C22⋊Dic11C22semidirect
121. C4×C22⋊Dic11C22semidirect
122. C4×C22⋊Dic11C22semidirect
125. #10622606C22semidirect
126. #10622603C22semidirect
127. #10622603C22semidirect
128. #10622603C22semidirect
129. #10622603C22semidirect
130. #10622599C22semidirect
131. #10622599C22semidirect
132. #10622597C22semidirect
133. #10622597C22semidirect
134. #10622596C22semidirect
135. #10622593C22semidirect
136. #10622592C22semidirect
137. #10622591C22semidirect
138. #10622591C22semidirect
139. #10622590C22semidirect
140. C4⋊C4×Dic11C22semidirect
141. C4⋊C4×Dic11C22semidirect
142. #10622587C22semidirect
143. #10622585C22semidirect
144. #10622585C22semidirect
145. #10622585C22semidirect
146. #10622585C22semidirect
148. #10622574C22semidirect
150. #10622571C22semidirect
154. #10622570C22semidirect
156. #10622565C22semidirect
157. #10622565C22semidirect
163. #10622561C22semidirect
171. #10622558C22semidirect
172. #10622558C22semidirect
173. #10622558C22semidirect
174. #10622557C22semidirect
175. #10622557C22semidirect
178. #10622555C22semidirect
181. C22⋊C4×Dic11C22semidirect
182. C22⋊C4×Dic11C22semidirect
183. C4×(C2×D11)⋊C4C22semidirect
184. C4×C4⋊Dic11C22semidirect
185. C4×Dic11⋊C4C22semidirect
186. C4×Dic11⋊C4C22semidirect
187. C4×Dic11⋊C4C22semidirect
188. C42×Dic11C22semidirect
236. C4×D4×C11D4semidirect
497. C22×Dic11#41semidirect
564. C22⋊Dic11#41semidirect
565. C22⋊Dic11#41semidirect
613. C2×#525D11semidirect
1097. C4×D4C22⋊D11semidirect
1464. C11#34829semidirect

Maximal subgroups

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

subgroupindex
C2×#106230692
#130737562
#130737412
#130737262
#130737112
#130736982
#130736892
#130736722
#130736572
#130736242
#130735742
#130735442
#130735032
#130729482
#130727412
#130721732
#130721562
#130718842
#130718752
#130718542
#130718292
C4×#669892
C4×#669882
C4×#669922
C4×#670062
#130711072
#130710752
C4×D4×Dic112
C2×C4×C22⋊Dic112
C2×C11×#5252
#3482911