Finite Group Databasebeta

← #14923949

Subgroups — #14923949

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×#10623010C211yesmaximal, characteristic, complemented
2C2×#10623322C211yesmaximal, characteristic, complemented
3#13073760C211yesmaximal, characteristic, complemented
4#13073745C211yesmaximal, characteristic, complemented
5#13073730C211yesmaximal, characteristic, complemented
6#13073715C211yesmaximal, characteristic, complemented
7#13073700C211yesmaximal, characteristic, complemented
8#13073685C211yesmaximal, characteristic, complemented
9#13073676C211yesmaximal, characteristic, complemented
10#13073661C211yesmaximal, characteristic, complemented
11#13073627C211yesmaximal, characteristic, complemented
12#13073576C211yesmaximal, characteristic, complemented
13#13073547C211yesmaximal, characteristic, complemented
14#13073506C211yesmaximal, characteristic, complemented
15#13072942C211yesmaximal, characteristic, complemented
16#13072736C211yesmaximal, characteristic, complemented
17#13072167C211yesmaximal, characteristic, complemented
18#13072152C211yesmaximal, characteristic, complemented
19#13071890C211yesmaximal, characteristic, complemented
20#13071877C211yesmaximal, characteristic, complemented
21#13071860C211yesmaximal, characteristic, complemented
22#13071832C211yesmaximal, characteristic, complemented
23C4×#66938C211yesmaximal, characteristic, complemented
24C4×#66982C211yesmaximal, characteristic, complemented
25C4×#66983C211yesmaximal, characteristic, complemented
26C4×#66937C211yesmaximal, characteristic, complemented
27C4×#67006C211yesmaximal, characteristic, complemented
28#13071102C211yesmaximal, characteristic, complemented
29#13071079C211yesmaximal, characteristic, complemented
30C42×C22⋊D11C211yesmaximal, characteristic, complemented
31C2×C4×C11×C22⋊C4C211yesmaximal, characteristic, complemented
32C24×C4×C11C2211yescharacteristic
33C22×#4339C2211yescharacteristic
34C22×C11×C22⋊C4C2211yescharacteristic
35C22×C11×C22⋊C4C2211yescharacteristic
36C22×C42×C11C2211yescharacteristic
37C22×C42×C11C2211yescharacteristic
38C2×#67006C2211yescharacteristic
39C2×#67006C2211yescharacteristic
40C2×#67006C2211yescharacteristic
41#10623322—28no—
42C2×#66983C2211yescharacteristic
43C2×#66983C2211yescharacteristic
44C2×#66983C2211yescharacteristic
45C2×#66983C2211yescharacteristic
46C2×#66982C2211yescharacteristic
47C2×#66982C2211yescharacteristic
48C2×#66982C2211yescharacteristic
49C2×#66982C2211yescharacteristic
50C2×#66982C2211yescharacteristic
51C2×C4×C22⋊D11C2211yescharacteristic
52C2×C4×C22⋊D11C2211yescharacteristic
53C2×C4×C22⋊D11C2211yescharacteristic
54C2×C4×C22⋊D11C2211yescharacteristic
55C2×C4×C22⋊D11C2211yescharacteristic
56C2×C4×C22⋊D11C2211yescharacteristic
57C2×C4×C22⋊D11C2211yescharacteristic
58C2×C4×C22⋊D11C2211yescharacteristic
59C2×C4×C22⋊D11C2211yescharacteristic
60C2×#66979C2211yescharacteristic
61C2×#66977C2211yescharacteristic
62C2×#66977C2211yescharacteristic
63C2×#66977C2211yescharacteristic
64C2×#66938C2211yescharacteristic
65C2×#66937C2211yescharacteristic
66#10623010—28no—
67C2×#66929C2211yescharacteristic, complemented
68C2×#66929C2211yescharacteristic, complemented
69C2×#66928C2211yescharacteristic, complemented
70C2×C4×D44C2211yescharacteristic, complemented
71C2×C4×D44C2211yescharacteristic, complemented
72C2×#66925C2211yescharacteristic, complemented
73C2×#66925C2211yescharacteristic, complemented
74C2×C42×D11C2211yescharacteristic, complemented
75C2×#66923C2211yescharacteristic, complemented
76C2×C4×Dic22C2211yescharacteristic, complemented
77C4×C11×C22⋊C4C2211yescharacteristic
78C4×C11×C22⋊C4C2211yescharacteristic
79C4×C11×C22⋊C4C2211yescharacteristic
80C4×C11×C22⋊C4C2211yescharacteristic
81C4×C11×C22⋊C4C2211yescharacteristic
82C4×C11×C22⋊C4C2211yescharacteristic
83C4×C11×C22⋊C4C2211yescharacteristic
84C4×C11×C22⋊C4C2211yescharacteristic
85C2×C11×#95C2211yescharacteristic
86C2×C11×#95C2211yescharacteristic
87#10622860C2211yescharacteristic
88#10622826C2211yescharacteristic
89#10622826C2211yescharacteristic
90#10622826C2211yescharacteristic
91#10622826C2211yescharacteristic
92#10622826C2211yescharacteristic
93#10622826C2211yescharacteristic
94#10622825C2211yescharacteristic
95#10622824C2211yescharacteristic
96#10622823C2211yescharacteristic
97#10622823C2211yescharacteristic
98#10622823C2211yescharacteristic
99#10622823C2211yescharacteristic
100C4×C22⋊Dic11C2211yescharacteristic
101C4×C22⋊Dic11C2211yescharacteristic
102C4×C22⋊Dic11C2211yescharacteristic
103C4×C22⋊Dic11C2211yescharacteristic
104C4×C22⋊Dic11C2211yescharacteristic
105#10622574C2211yescharacteristic
106#10622574C2211yescharacteristic
107#10622574C2211yescharacteristic
108#10622573C2211yescharacteristic
109#10622573C2211yescharacteristic
110#10622573C2211yescharacteristic
111#10622572C2211yescharacteristic
112#10622572C2211yescharacteristic
113#10622572C2211yescharacteristic
114#10622570C2211yescharacteristic
115#10622570C2211yescharacteristic
116#10622570C2211yescharacteristic
117#10622570C2211yescharacteristic
118#10622570C2211yescharacteristic
119#10622570C2211yescharacteristic
120#10622569C2211yescharacteristic
121#10622569C2211yescharacteristic
122#10622569C2211yescharacteristic
123#10622565C2211yescharacteristic
124#10622564C2211yescharacteristic
125#10622564C2211yescharacteristic
126#10622562C2211yescharacteristic
127#10622562C2211yescharacteristic
128#10622561C2211yescharacteristic
129#10622561C2211yescharacteristic
130#10622561C2211yescharacteristic
131#10622560C2211yescharacteristic
132#10622557C2211yescharacteristic
133#10622557C2211yescharacteristic
134#10622557C2211yescharacteristic
135#10622553C2211yescharacteristic, complemented
136#10622553C2211yescharacteristic, complemented
137#10622553C2211yescharacteristic, complemented
138#10622553C2211yescharacteristic, complemented
139#10622552C2211yescharacteristic, complemented
140C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
141C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
142C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
143C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
144C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
145C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
146C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
147C4×C4⋊Dic11C2211yescharacteristic, complemented
148#10622546C2211yescharacteristic, complemented
149#10622546C2211yescharacteristic, complemented
150C4×Dic11⋊C4C2211yescharacteristic, complemented
151C4×Dic11⋊C4C2211yescharacteristic, complemented
152C4×Dic11⋊C4C2211yescharacteristic, complemented
153C4×Dic11⋊C4C2211yescharacteristic, complemented
154C4×Dic11⋊C4C2211yescharacteristic, complemented
155C42×Dic11C2211yescharacteristic, complemented
156#10622541C2211yescharacteristic, complemented
157#10622289C2211yescharacteristic, complemented
158#10622288C2211yescharacteristic, complemented
159#10622288C2211yescharacteristic, complemented
160#10622287C2211yescharacteristic, complemented
161#10622286C2211yescharacteristic, complemented
162#10622285C2211yescharacteristic, complemented
163#10622285C2211yescharacteristic, complemented
164#10622284C2211yescharacteristic, complemented
165#10622283C2211yescharacteristic, complemented
166#10622283C2211yescharacteristic, complemented
167#10622283C2211yescharacteristic, complemented
168#10622282C2211yescharacteristic, complemented
169#10622282C2211yescharacteristic, complemented
170#10622280C2211yescharacteristic, complemented
171#10622278C2211yescharacteristic, complemented
172#10622278C2211yescharacteristic, complemented
173#10622278C2211yescharacteristic, complemented
174#10622274C2211yescharacteristic, complemented
175#10622273C2211yescharacteristic, complemented
176#10622271C2211yescharacteristic, complemented
177#10622270C2211yescharacteristic, complemented
178#10622270C2211yescharacteristic, complemented
179#10622270C2211yescharacteristic, complemented
180#10622269C2211yescharacteristic, complemented
181#10622269C2211yescharacteristic, complemented
182#10622263C2211yescharacteristic, complemented
183#10622260C2211yescharacteristic, complemented
184#10622260C2211yescharacteristic, complemented
185#10622260C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187#10622259C2211yescharacteristic, complemented
188#10622259C2211yescharacteristic, complemented
189C25×C11C2311yescharacteristic
190C23×C4×C11—24no—
191C23×C4×C11—24no—
192C23×C4×C11—42no—
193C23×C4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C23×C4×C11C2311yescharacteristic
196C23×C4×C11C2311yescharacteristic
197C23×C4×C11C2311yescharacteristic
198C23×C4×C11C2311yescharacteristic
199C23×C4×C11C2311yescharacteristic
200C23×C4×C11C2311yescharacteristic
201C23×C4×C11C2311yescharacteristic
202C23×C4×C11C2311yescharacteristic
203C22×C22⋊D11C2311yescharacteristic
204C22×C22⋊D11C2311yescharacteristic
205C22×C22⋊D11C2311yescharacteristic
206C22×C22⋊D11C2311yescharacteristic
207C22×C22⋊D11C2311yescharacteristic
208C22×C22⋊D11C2311yescharacteristic
209C22×C22⋊D11C2311yescharacteristic
210C22×C22⋊D11C2311yescharacteristic
211C22×C22⋊D11C2311yescharacteristic
212C2×#4339—24no—
213C2×#4339—24no—
214C2×#4339—42no—
215C22×D44C2311yescharacteristic
216C22×D44C2311yescharacteristic
217C22×D44C2311yescharacteristic
218C22×C4×D11C2311yescharacteristic
219C22×C4×D11C2311yescharacteristic
220C22×C4×D11C2311yescharacteristic
221C22×C4×D11C2311yescharacteristic
222C22×C4×D11C2311yescharacteristic
223C22×Dic22C2311yescharacteristic
224C22×Dic22C2311yescharacteristic
225C2×C11×C22⋊C4—24no—
226C2×C11×C22⋊C4—24no—
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×C42×C11—24no—
236C2×C42×C11—42no—
237C2×C42×C11C2311yescharacteristic
238C2×C42×C11C2311yescharacteristic
239C2×C42×C11C2311yescharacteristic
240C2×C42×C11C2311yescharacteristic
241C2×C42×C11C2311yescharacteristic
242C2×C42×C11C2311yescharacteristic
243C2×C42×C11C2311yescharacteristic
244C2×C42×C11C2311yescharacteristic
245#67006—24no—
246#67006—24no—
247#67006—24no—
248C2×C22⋊Dic11C2311yescharacteristic
249C2×C22⋊Dic11C2311yescharacteristic
250C2×C22⋊Dic11C2311yescharacteristic
251C2×C22⋊Dic11C2311yescharacteristic
252C2×C22⋊Dic11C2311yescharacteristic
253C2×C22⋊Dic11C2311yescharacteristic
254C2×C22⋊Dic11C2311yescharacteristic
255C2×C22⋊Dic11C2311yescharacteristic
256C2×C22⋊Dic11C2311yescharacteristic
257C2×C22⋊Dic11C2311yescharacteristic
258C2×C22⋊Dic11C2311yescharacteristic
259C2×C22⋊Dic11C2311yescharacteristic
260C2×C22⋊Dic11C2311yescharacteristic
261C2×C22⋊Dic11C2311yescharacteristic
262C2×C22⋊Dic11C2311yescharacteristic
263#66983—24no—
264#66983—24no—
265#66983—24no—
266#66983—24no—
267#66982—24no—
268#66982—24no—
269#66982—24no—
270#66982—24no—
271#66982—24no—
272C4×C22⋊D11—24no—
273C4×C22⋊D11—24no—
274C4×C22⋊D11—24no—
275C4×C22⋊D11—24no—
276C4×C22⋊D11—24no—
277C4×C22⋊D11—24no—
278C4×C22⋊D11—24no—
279C4×C22⋊D11—42no—
280C4×C22⋊D11D418yescomplemented
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×(C2×D11)⋊C4C2311yescharacteristic
290C2×(C2×D11)⋊C4C2311yescharacteristic
291C2×(C2×D11)⋊C4C2311yescharacteristic
292C2×(C2×D11)⋊C4C2311yescharacteristic
293C2×(C2×D11)⋊C4C2311yescharacteristic
294C2×(C2×D11)⋊C4C2311yescharacteristic
295C2×(C2×D11)⋊C4C2311yescharacteristic
296C2×(C2×D11)⋊C4C2311yescharacteristic
297C2×(C2×D11)⋊C4C2311yescharacteristic
298C2×(C2×D11)⋊C4C2311yescharacteristic
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
306#66979—24no—
307C2×C4⋊Dic11C2311yescharacteristic
308C2×C4⋊Dic11C2311yescharacteristic
309C2×C4⋊Dic11C2311yescharacteristic
310C2×C4⋊Dic11C2311yescharacteristic
311C2×C4⋊Dic11C2311yescharacteristic
312C2×C4⋊Dic11C2311yescharacteristic
313C2×C4⋊Dic11C2311yescharacteristic
314#66977—24no—
315#66977—24no—
316#66977—24no—
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×Dic11⋊C4C2311yescharacteristic
332C2×Dic11⋊C4C2311yescharacteristic
333C2×Dic11⋊C4C2311yescharacteristic
334C2×Dic11⋊C4C2311yescharacteristic
335C2×Dic11⋊C4C2311yescharacteristic
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
347#66938—24no—
348#66937—24no—
349#66929—24no—
350#66929—24no—
351#66928—24no—
352C4×D44—24no—
353C4×D44—42no—
354#66925—24no—
355#66925—24no—
356C42×D11—42no—
357#66923—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
402C23×D11C2411yescharacteristic
403C23×D11C2411yescharacteristic
404C23×D11C2411yescharacteristic
405C22×C4×C11—22no—
406C22×C4×C11—22no—
407C22×C4×C11—22no—
408C22×C4×C11—22no—
409C22×C4×C11—22no—
410C22×C4×C11—22no—
411C22×C4×C11—22no—
412C22×C4×C11—22no—
413C22×C4×C11—22no—
414C22×C4×C11—22no—
415C22×C4×C11—22no—
416C22×C4×C11—22no—
417C22×C4×C11—22no—
418C22×C4×C11—22no—
419C22×C4×C11—22no—
420C22×C4×C11—22no—
421C22×C4×C11—22no—
422C22×C4×C11—22no—
423C22×C4×C11—22no—
424C22×C4×C11—22no—
425C22×C4×C11—41no—
426C22×C4×C11—41no—
427C22×C4×C11—41no—
428C22×C4×C11—41no—
429C22×C4×C11—41no—
430C22×C4×C11—41no—
431C22×C4×C11—41no—
432C22×C4×C11—416no—
433C22×C4×C11C2×D414yes—
434C22×C4×C11#4114yes—
435C22×C4×C11#4114yescomplemented
436C22×C4×C11C2411yescharacteristic
437C22×C4×C11C2411yescharacteristic
438C22×C4×C11C2411yescharacteristic
439C22×C4×C11C2411yescharacteristic
440C22×C4×C11C2411yescharacteristic
441C22×C4×C11C2411yescharacteristic
442C22×C4×C11C2411yescharacteristic
443C22×C4×C11C2411yescharacteristic
444C22×C4×C11C2411yescharacteristic
445C22×C4×C11C2411yescharacteristic
446C22×C4×C11C2411yescharacteristic
447C22×C4×C11C2411yescharacteristic
448C2×C22⋊D11—22no—
449C2×C22⋊D11—22no—
450C2×C22⋊D11—22no—
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—22no—
466C2×C22⋊D11—22no—
467C2×C22⋊D11—22no—
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⋊D11C2×D414yes—
475C22×Dic11C2411yescharacteristic
476C22×Dic11C2411yescharacteristic
477C22×Dic11C2411yescharacteristic
478C22×Dic11C2411yescharacteristic
479C22×Dic11C2411yescharacteristic
480C22×Dic11C2411yescharacteristic
481C22×Dic11C2411yescharacteristic
482C22×Dic11C2411yescharacteristic
483C22×Dic11C2411yescharacteristic
484C22×Dic11C2411yescharacteristic
485C22×Dic11C2411yescharacteristic
486C22×Dic11C2411yescharacteristic
487C22×Dic11C2411yescharacteristic
488#4339—416no—
489C2×D44—22no—
490C2×D44—22no—
491C2×D44—22no—
492C2×D44—22no—
493C2×D44—22no—
494C2×D44—41no—
495C2×D44—41no—
496C2×D44—41no—
497C2×D44—41no—
498C2×C4×D11—22no—
499C2×C4×D11—22no—
500C2×C4×D11—22no—
501C2×C4×D11—22no—
502C2×C4×D11—22no—
503C2×C4×D11—22no—
504C2×C4×D11—22no—
505C2×C4×D11—22no—
506C2×C4×D11—22no—
507C2×C4×D11—22no—
508C2×C4×D11—22no—
509C2×C4×D11—41no—
510C2×C4×D11—41no—
511C2×C4×D11—41no—
512C2×C4×D11C2×D414yes—
513C2×Dic22—22no—
514C2×Dic22—22no—
515C2×Dic22—22no—
516C2×Dic22—22no—
517C2×Dic22—41no—
518C2×Dic22—41no—
519C11×C22⋊C4—22no—
520C11×C22⋊C4—22no—
521C11×C22⋊C4—22no—
522C11×C22⋊C4—22no—
523C11×C22⋊C4—22no—
524C11×C22⋊C4—22no—
525C11×C22⋊C4—22no—
526C11×C22⋊C4#4114yescomplemented
527C42×C11—22no—
528C42×C11—22no—
529C42×C11—22no—
530C42×C11—22no—
531C42×C11—22no—
532C42×C11—22no—
533C42×C11—41no—
534C42×C11—41no—
535C22⋊Dic11—22no—
536C22⋊Dic11—22no—
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—41no—
547C22⋊Dic11—41no—
548C22⋊Dic11C2×D414yes—
549C22⋊Dic11#4114yescomplemented
550(C2×D11)⋊C4—22no—
551(C2×D11)⋊C4—22no—
552(C2×D11)⋊C4—22no—
553(C2×D11)⋊C4—22no—
554(C2×D11)⋊C4—22no—
555(C2×D11)⋊C4—22no—
556(C2×D11)⋊C4—22no—
557(C2×D11)⋊C4—22no—
558(C2×D11)⋊C4—22no—
559(C2×D11)⋊C4—22no—
560(C2×D11)⋊C4—22no—
561(C2×D11)⋊C4—22no—
562(C2×D11)⋊C4—22no—
563(C2×D11)⋊C4—22no—
564(C2×D11)⋊C4—22no—
565(C2×D11)⋊C4—22no—
566(C2×D11)⋊C4—22no—
567(C2×D11)⋊C4—22no—
568(C2×D11)⋊C4—22no—
569(C2×D11)⋊C4—22no—
570(C2×D11)⋊C4—41no—
571(C2×D11)⋊C4—41no—
572(C2×D11)⋊C4—41no—
573(C2×D11)⋊C4—41no—
574(C2×D11)⋊C4C2×D414yes—
575C4⋊Dic11—22no—
576C4⋊Dic11—22no—
577C4⋊Dic11—22no—
578C4⋊Dic11—22no—
579C4⋊Dic11—22no—
580C4⋊Dic11—41no—
581C4⋊Dic11—41no—
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—22no—
592Dic11⋊C4—22no—
593Dic11⋊C4—22no—
594Dic11⋊C4—22no—
595Dic11⋊C4—22no—
596Dic11⋊C4—22no—
597Dic11⋊C4—22no—
598Dic11⋊C4—41no—
599Dic11⋊C4—41no—
600Dic11⋊C4C2×D414yes—
601C4×Dic11—22no—
602C4×Dic11—22no—
603C4×Dic11—22no—
604C4×Dic11—22no—
605C4×Dic11—22no—
606C4×Dic11—22no—
607C4×Dic11—22no—
608C4×Dic11—41no—
609C4×Dic11—41no—
610C4×Dic11—41no—
611C4×Dic11C2×D414yes—
612C2×#529—111no—
613C2×#525—111no—
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⋊C4D1111yescharacteristic, complemented
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—44no—
661C23×C11—44no—
662C23×C11—44no—
663C23×C11—44no—
664C23×C11—44no—
665C23×C11—44no—
666C23×C11C22×D412yes—
667C23×C11C2×#4112yes—
668C23×C11C2×#4112yes—
669C23×C11C2×#4112yes—
670C23×C11C2×#4112yes—
671C23×C11C2511yescharacteristic
672C22×D11—21no—
673C22×D11—21no—
674C22×D11—21no—
675C22×D11—21no—
676C22×D11—21no—
677C22×D11—21no—
678C22×D11—21no—
679C22×D11—21no—
680C22×D11—21no—
681C22×D11—21no—
682C22×D11—21no—
683C22×D11—21no—
684C22×D11—21no—
685C22×D11—21no—
686C22×D11—21no—
687C22×D11—21no—
688C22×D11—21no—
689C22×D11—21no—
690C22×D11—21no—
691C22×D11—21no—
692C22×D11C22×D412yes—
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—28no—
706C2×C4×C11—28no—
707C2×C4×C11—21no—
708C2×C4×C11—21no—
709C2×C4×C11—21no—
710C2×C4×C11—21no—
711C2×C4×C11—21no—
712C2×C4×C11—21no—
713C2×C4×C11—21no—
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—44no—
723C2×C4×C11—44no—
724C2×C4×C11—44no—
725C2×C4×C11—44no—
726C2×C4×C11—44no—
727C2×C4×C11—44no—
728C2×C4×C11—44no—
729C2×C4×C11—44no—
730C2×C4×C11C22×D412yes—
731C2×C4×C11C22×D412yes—
732C2×C4×C11C2×#4112yes—
733C2×C4×C11C2×#4112yes—
734C2×C4×C11C2×#4112yes—
735C2×C4×C11C2×#4112yes—
736C2×C4×C11C2×#4112yes—
737C2×C4×C11C2×#4112yes—
738C2×C4×C11H(5,𝔽2)12yes—
739C22⋊D11—28no—
740C22⋊D11—44no—
741C22⋊D11—44no—
742C22⋊D11—44no—
743C22⋊D11—44no—
744C22⋊D11—44no—
745C22⋊D11—44no—
746C22⋊D11—44no—
747C22⋊D11—44no—
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×Dic11C22×D412yes—
783C2×Dic11C22×D412yes—
784C2×Dic11C22×D412yes—
785C2×Dic11C2×#4112yes—
786C2×Dic11C2×#4112yes—
787D44—44no—
788D44—44no—
789D44—44no—
790C4×D11—28no—
791C4×D11—44no—
792C4×D11—44no—
793C4×D11—44no—
794C4×D11—44no—
795Dic22—44no—
796Dic22—44no—
797C22×#41—111no—
798C24×C4C2×D1111yescharacteristic
799#529—228no—
800C2×#126—111no—
801C2×#126—111no—
802C2×#125—111no—
803C2×#124—111no—
804C2×#124—111no—
805#525—228no—
806C2×#123—111no—
807C2×#123—111no—
808C2×#123—111no—
809C2×#123—111no—
810C2×#123—111no—
811C2×C22⋊Q8—111no—
812C2×C22⋊Q8—111no—
813C2×C22⋊Q8—111no—
814C2×#121—111no—
815C2×#121—111no—
816C2×#121—111no—
817C2×#121—111no—
818C2×#121—111no—
819C2×#120—111no—
820C2×#120—111no—
821C2×#120—111no—
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×D4—111no—
831C2×C4×D4—111no—
832C2×C4×D4—111no—
833C2×C4×D4—111no—
834C2×#117—111no—
835C2×#117—111no—
836C2×#117—111no—
837C22×C22⋊C4C2×D1111yescharacteristic
838C22×C22⋊C4C2×D1111yescharacteristic
839C22×C42—111no—
840C22×C42C2×D1111yescharacteristic
841C22×C42C2×D1111yescharacteristic
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⋊C4C2×D1111yescharacteristic
944C4×C22⋊C4C2×D1111yescharacteristic
945C4×C22⋊C4C2×D1111yescharacteristic
946C4×C22⋊C4C2×D1111yescharacteristic
947C4×C22⋊C4C2×D1111yescharacteristic
948C4×C22⋊C4C2×D1111yescharacteristic
949C4×C22⋊C4C2×D1111yescharacteristic
950C4×C22⋊C4C2×D1111yescharacteristic
951C2×#95C2×D1111yescharacteristic
952C2×#95C2×D1111yescharacteristic
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—416no—
967C22×C11—41no—
968C22×C11—41no—
969C22×C11—41no—
970C22×C11—41no—
971C22×C11—41no—
972C22×C11—41no—
973C22×C11—41no—
974C22×C11—41no—
975C22×C11#53214yes—
976C22×C11C23×D411yescharacteristic
977C22×C11C22×#4111yescharacteristic
978C22×C11C22×#4111yescharacteristic
979C22×C11C22×#4111yescharacteristic
980C22×C11C22×#4111yescharacteristic
981C22×C11C2×H(5,𝔽2)11yescharacteristic
982C22×C11#58511yescharacteristic
983C2×D11—22no—
984C2×D11—22no—
985C2×D11—22no—
986C2×D11—41no—
987C2×D11—41no—
988C2×D11—41no—
989C2×D11—41no—
990C2×D11—41no—
991C2×D11—41no—
992C2×D11—41no—
993C2×D11—41no—
994C2×D11—41no—
995C2×D11—41no—
996C2×D11—41no—
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—22no—
1010C4×C11—41no—
1011C4×C11—41no—
1012C4×C11—41no—
1013C4×C11—41no—
1014C4×C11—41no—
1015C4×C11#54614yes—
1016Dic11—22no—
1017Dic11—22no—
1018Dic11—22no—
1019Dic11—22no—
1020Dic11—22no—
1021Dic11—41no—
1022Dic11—41no—
1023Dic11—41no—
1024Dic11—41no—
1025Dic11—41no—
1026Dic11—41no—
1027Dic11—41no—
1028Dic11—41no—
1029C25C22×D1111yescharacteristic
1030C2×#41—224no—
1031C2×#41—224no—
1032C2×#41—442no—
1033C22×Q8—111no—
1034C22×Q8—111no—
1035C22×D4—111no—
1036C22×D4—111no—
1037C22×D4—111no—
1038C22×D4—111no—
1039C22×D4—111no—
1040C22×D4—111no—
1041C22×D4—111no—
1042C22×D4—111no—
1043C22×D4—111no—
1044C22×D4—111no—
1045C22×D4—111no—
1046C22×D4—111no—
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×C4C22×D1111yescharacteristic
1056C23×C4C22×D1111yescharacteristic
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—224no—
1071#123—224no—
1072#123—224no—
1073#123—224no—
1074#123—224no—
1075C22⋊Q8—224no—
1076C22⋊Q8—224no—
1077C22⋊Q8—224no—
1078#121—224no—
1079#121—224no—
1080#121—224no—
1081#121—224no—
1082#121—224no—
1083#120—224no—
1084#120—224no—
1085#120—224no—
1086C4×Q8—224no—
1087C4×D4—118no—
1088C4×D4—224no—
1089C4×D4—224no—
1090C4×D4—224no—
1091C4×D4—224no—
1092C4×D4—224no—
1093C4×D4—224no—
1094C4×D4—224no—
1095C4×D4—224no—
1096C4×D4—442no—
1097C4×D4—442no—
1098#117—224no—
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⋊C4—111no—
1122C2×C4⋊C4—111no—
1123C2×C4⋊C4—111no—
1124C2×C4⋊C4—111no—
1125C2×C4⋊C4—111no—
1126C2×C4⋊C4—111no—
1127C2×C22⋊C4—24no—
1128C2×C22⋊C4—24no—
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—111no—
1166C2×C22⋊C4—111no—
1167C2×C22⋊C4—111no—
1168C2×C22⋊C4—111no—
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—24no—
1178C2×C42—42no—
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—442no—
1191C2×C42C22×D1111yescharacteristic
1192C2×C42C22×D1111yescharacteristic
1193C2×C42C22×D1111yescharacteristic
1194C2×C42C22×D1111yescharacteristic
1195C2×C42C22×D1111yescharacteristic
1196C2×C42C22×D1111yescharacteristic
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#95C22×D1111yescharacteristic
1224#95C22×D1111yescharacteristic
1225#95C22×D1111yescharacteristic
1226#95C22×D1111yescharacteristic
1227#95C22×D1111yescharacteristic
1228#95C22×D1111yescharacteristic
1229#95C22×D1111yescharacteristic
1230#95C22×D1111yescharacteristic
1231C2×C11—24no—
1232C2×C11—42no—
1233C2×C11—42no—
1234C2×C11C2×#53211yescharacteristic
1235C2×C11#344411yescharacteristic
1236C2×C11#345911yescharacteristic
1237C2×C11C2×#54611yescharacteristic
1238C2×C11D4×#4111yescharacteristic
1239C2×C11#347511yescharacteristic
1240C2×C11#348111yescharacteristic
1241D11—42no—
1242D11—81no—
1243D11—81no—
1244C24—22no—
1245C24—22no—
1246C24—22no—
1247C24—22no—
1248C24—22no—
1249C24—41no—
1250C24—41no—
1251C24—111no—
1252C24—111no—
1253C24—111no—
1254C24C23×D1111yescharacteristic
1255C24C23×D1111yescharacteristic
1256C24C23×D1111yescharacteristic
1257#41—4416no—
1258C2×Q8—222no—
1259C2×Q8—222no—
1260C2×Q8—222no—
1261C2×Q8—222no—
1262C2×Q8—441no—
1263C2×Q8—441no—
1264C2×D4—114no—
1265C2×D4—222no—
1266C2×D4—222no—
1267C2×D4—222no—
1268C2×D4—222no—
1269C2×D4—222no—
1270C2×D4—222no—
1271C2×D4—222no—
1272C2×D4—222no—
1273C2×D4—222no—
1274C2×D4—222no—
1275C2×D4—222no—
1276C2×D4—222no—
1277C2×D4—222no—
1278C2×D4—222no—
1279C2×D4—222no—
1280C2×D4—222no—
1281C2×D4—222no—
1282C2×D4—222no—
1283C2×D4—222no—
1284C2×D4—222no—
1285C2×D4—222no—
1286C2×D4—222no—
1287C2×D4—222no—
1288C2×D4—222no—
1289C2×D4—222no—
1290C2×D4—441no—
1291C2×D4—441no—
1292C2×D4—441no—
1293C2×D4—441no—
1294C2×D4—441no—
1295C2×D4—441no—
1296C2×D4—441no—
1297C2×D4—441no—
1298C2×D4—441no—
1299C2×D4—441no—
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—22no—
1319C22×C4—22no—
1320C22×C4—41no—
1321C22×C4—41no—
1322C22×C4—41no—
1323C22×C4—41no—
1324C22×C4—41no—
1325C22×C4—41no—
1326C22×C4—41no—
1327C22×C4—416no—
1328C22×C4—111no—
1329C22×C4—111no—
1330C22×C4—111no—
1331C22×C4—111no—
1332C22×C4—111no—
1333C22×C4—114no—
1334C22×C4—111no—
1335C22×C4—111no—
1336C22×C4—111no—
1337C22×C4—111no—
1338C22×C4—111no—
1339C22×C4—111no—
1340C22×C4—111no—
1341C22×C4—111no—
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—222no—
1352C22×C4—222no—
1353C22×C4—441no—
1354C22×C4—441no—
1355C22×C4—441no—
1356C22×C4#433914yes—
1357C22×C4#433914yescomplemented
1358C22×C4D4×D1114yes—
1359C22×C4C23×D1111yescharacteristic
1360C22×C4C23×D1111yescharacteristic
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—114no—
1372C4⋊C4—222no—
1373C4⋊C4—222no—
1374C4⋊C4—222no—
1375C4⋊C4—222no—
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—222no—
1393C4⋊C4—441no—
1394C4⋊C4—441no—
1395C4⋊C4—441no—
1396C4⋊C4—441no—
1397C22⋊C4—22no—
1398C22⋊C4—22no—
1399C22⋊C4—22no—
1400C22⋊C4—22no—
1401C22⋊C4—22no—
1402C22⋊C4—22no—
1403C22⋊C4—22no—
1404C22⋊C4—114no—
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—222no—
1438C22⋊C4—441no—
1439C22⋊C4—441no—
1440C22⋊C4—441no—
1441C22⋊C4—441no—
1442C22⋊C4—441no—
1443C22⋊C4—441no—
1444C22⋊C4#433914yescomplemented
1445C42—22no—
1446C42—22no—
1447C42—22no—
1448C42—22no—
1449C42—22no—
1450C42—22no—
1451C42—41no—
1452C42—41no—
1453C42—114no—
1454C42—222no—
1455C42—222no—
1456C42—222no—
1457C42—222no—
1458C42—222no—
1459C42—222no—
1460C42—222no—
1461C42—441no—
1462C42—441no—
1463C42—441no—
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—44no—
1483C23—44no—
1484C23—44no—
1485C23—44no—
1486C23—44no—
1487C23—44no—
1488C23—112no—
1489C23—221no—
1490C23—221no—
1491C23—221no—
1492C23—221no—
1493C23—221no—
1494C23—221no—
1495C23—221no—
1496C23—221no—
1497C23—221no—
1498C23—221no—
1499C23—221no—
1500C23—221no—
1501C23—221no—
1502C23—221no—
1503C23—221no—
1504C23—221no—
1505C23—221no—
1506C23—221no—
1507C23—221no—
1508C23—221no—
1509C23C2×#433912yes—
1510C23C2×#433912yes—
1511C23C2×#433912yes—
1512C23C2×D4×D1112yes—
1513C23#41×D1112yes—
1514C23C24×D1111yescharacteristic
1515Q8—444no—
1516Q8—444no—
1517D4—228no—
1518D4—444no—
1519D4—444no—
1520D4—444no—
1521D4—444no—
1522D4—444no—
1523D4—444no—
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—21no—
1540C2×C4—21no—
1541C2×C4—28no—
1542C2×C4—28no—
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—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—44no—
1559C2×C4—44no—
1560C2×C4—44no—
1561C2×C4—44no—
1562C2×C4—44no—
1563C2×C4—44no—
1564C2×C4—44no—
1565C2×C4—44no—
1566C2×C4—112no—
1567C2×C4—112no—
1568C2×C4—112no—
1569C2×C4—112no—
1570C2×C4—112no—
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—228no—
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—221no—
1605C2×C4—221no—
1606C2×C4—444no—
1607C2×C4—444no—
1608C2×C4—444no—
1609C2×C4—444no—
1610C2×C4C2×#433912yes—
1611C2×C4C2×#433912yes—
1612C2×C4C2×#433912yes—
1613C2×C4C2×#433912yes—
1614C2×C4C2×#433912yes—
1615C2×C4C2×#433912yes—
1616C2×C4C2×D4×D1112yes—
1617C2×C4C2×D4×D1112yes—
1618C2×C4#6703712yes—
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—416no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—222no—
1641C22—222no—
1642C22—222no—
1643C22—441no—
1644C22—441no—
1645C22—441no—
1646C22—441no—
1647C22—441no—
1648C22—441no—
1649C22—441no—
1650C22—441no—
1651C22—441no—
1652C22—441no—
1653C22—441no—
1654C22—441no—
1655C22—441no—
1656C22—441no—
1657C22—441no—
1658C22—441no—
1659C22—441no—
1660C22—441no—
1661C22#1062307914yes—
1662C22C22×#433911yescharacteristic
1663C22C22×#433911yescharacteristic
1664C22C22×#433911yescharacteristic
1665C22C22×D4×D1111yescharacteristic
1666C22C2×#6703711yescharacteristic
1667C22C2×#41×D1111yescharacteristic
1668C22#1062345311yescharacteristic
1669C4—22no—
1670C4—22no—
1671C4—22no—
1672C4—22no—
1673C4—22no—
1674C4—22no—
1675C4—41no—
1676C4—41no—
1677C4—41no—
1678C4—41no—
1679C4—41no—
1680C4—222no—
1681C4—222no—
1682C4—222no—
1683C4—222no—
1684C4—222no—
1685C4—441no—
1686C4—441no—
1687C4—441no—
1688C4—441no—
1689C4—441no—
1690C4—441no—
1691C4—441no—
1692C4—441no—
1693C4#1062302114yes—
1694C2—24no—
1695C2—42no—
1696C2—42no—
1697C2—442no—
1698C2—881no—
1699C2—881no—
1700C2C2×#1062307911yescharacteristic
1701C2#1308191211yescharacteristic
1702C2#1308202511yescharacteristic
1703C2C2×#1062302111yescharacteristic
1704C2D4×#433911yescharacteristic
1705C2#1308217011yescharacteristic
1706C2#1308222011yescharacteristic
subgroupG/H
centerC22×C4C23×D11
commutator, socle, cosocleC23×C11C25
FrattiniC23C24×D11
FittingC2×C4×C11×C22⋊C4C2
hypercenterC2×C4×C22⋊C4D11
hypocenterC11#34829
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ C2×C4×C22⋊C4

Complements

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

NH ≅ G/Ntype
1. C2×#10623010C2semidirect
2. C2×#10623322C2semidirect
3. #13073760C2semidirect
4. #13073745C2semidirect
5. #13073730C2semidirect
6. #13073715C2semidirect
7. #13073700C2semidirect
8. #13073685C2semidirect
9. #13073676C2semidirect
10. #13073661C2semidirect
11. #13073627C2semidirect
12. #13073576C2semidirect
13. #13073547C2semidirect
14. #13073506C2semidirect
15. #13072942C2semidirect
16. #13072736C2semidirect
17. #13072167C2semidirect
18. #13072152C2semidirect
19. #13071890C2semidirect
20. #13071877C2semidirect
21. #13071860C2semidirect
22. #13071832C2semidirect
23. C4×#66938C2semidirect
24. C4×#66982C2semidirect
25. C4×#66983C2semidirect
26. C4×#66937C2semidirect
27. C4×#67006C2semidirect
28. #13071102C2semidirect
29. #13071079C2semidirect
30. C42×C22⋊D11C2semidirect
31. C2×C4×C11×C22⋊C4C2semidirect
67. C2×#66929C22semidirect
68. C2×#66929C22semidirect
69. C2×#66928C22semidirect
70. C2×C4×D44C22semidirect
71. C2×C4×D44C22semidirect
72. C2×#66925C22semidirect
73. C2×#66925C22semidirect
74. C2×C42×D11C22semidirect
75. C2×#66923C22semidirect
76. C2×C4×Dic22C22semidirect
135. #10622553C22semidirect
136. #10622553C22semidirect
137. #10622553C22semidirect
138. #10622553C22semidirect
139. #10622552C22semidirect
140. C4×(C2×D11)⋊C4C22semidirect
141. C4×(C2×D11)⋊C4C22semidirect
142. C4×(C2×D11)⋊C4C22semidirect
143. C4×(C2×D11)⋊C4C22semidirect
144. C4×(C2×D11)⋊C4C22semidirect
145. C4×(C2×D11)⋊C4C22semidirect
146. C4×(C2×D11)⋊C4C22semidirect
147. C4×C4⋊Dic11C22semidirect
148. #10622546C22semidirect
149. #10622546C22semidirect
150. C4×Dic11⋊C4C22semidirect
151. C4×Dic11⋊C4C22semidirect
152. C4×Dic11⋊C4C22semidirect
153. C4×Dic11⋊C4C22semidirect
154. C4×Dic11⋊C4C22semidirect
155. C42×Dic11C22semidirect
156. #10622541C22semidirect
157. #10622289C22semidirect
158. #10622288C22semidirect
159. #10622288C22semidirect
160. #10622287C22semidirect
161. #10622286C22semidirect
162. #10622285C22semidirect
163. #10622285C22semidirect
164. #10622284C22semidirect
165. #10622283C22semidirect
166. #10622283C22semidirect
167. #10622283C22semidirect
168. #10622282C22semidirect
169. #10622282C22semidirect
170. #10622280C22semidirect
171. #10622278C22semidirect
172. #10622278C22semidirect
173. #10622278C22semidirect
174. #10622274C22semidirect
175. #10622273C22semidirect
176. #10622271C22semidirect
177. #10622270C22semidirect
178. #10622270C22semidirect
179. #10622270C22semidirect
180. #10622269C22semidirect
181. #10622269C22semidirect
182. #10622263C22semidirect
183. #10622260C22semidirect
184. #10622260C22semidirect
185. #10622260C22semidirect
186. #10622259C22semidirect
187. #10622259C22semidirect
188. #10622259C22semidirect
280. C4×C22⋊D11D4semidirect
435. C22×C4×C11#41semidirect
526. C11×C22⋊C4#41semidirect
549. C22⋊Dic11#41semidirect
642. C2×C4×C22⋊C4D11semidirect
1357. C22×C4#4339semidirect
1444. C22⋊C4#4339semidirect
1464. C11#34829semidirect

Maximal subgroups

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

subgroupindex
C2×#106230102
C2×#106233222
#130737602
#130737452
#130737302
#130737152
#130737002
#130736852
#130736762
#130736612
#130736272
#130735762
#130735472
#130735062
#130729422
#130727362
#130721672
#130721522
#130718902
#130718772
#130718602
#130718322
C4×#669382
C4×#669822
C4×#669832
C4×#669372
C4×#670062
#130711022
#130710792
C42×C22⋊D112
C2×C4×C11×C22⋊C42
#3482911