Finite Group Databasebeta

← #14914989

Subgroups — #14914989

Order 2816.

2570 conjugacy classes of subgroups.

The subgroup lattice has 1532 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623165C211yesmaximal, characteristic
2#13071700C211yesmaximal, characteristic, complemented
3#13071698C211yesmaximal, characteristic, complemented
4#13071697C211yesmaximal, characteristic, complemented
5#13071696C211yesmaximal, characteristic, complemented
6#13071695C211yesmaximal, characteristic, complemented
7#13071694C211yesmaximal, characteristic, complemented
8#13071693C211yesmaximal, characteristic, complemented
9#13071626C211yesmaximal, characteristic, complemented
10#13071625C211yesmaximal, characteristic, complemented
11#13071624C211yesmaximal, characteristic, complemented
12#13071624C211yesmaximal, characteristic, complemented
13#13071623C211yesmaximal, characteristic, complemented
14#13071622C211yesmaximal, characteristic, complemented
15#13071619C211yesmaximal, characteristic, complemented
16#13071616C211yesmaximal, characteristic, complemented
17#13071348C211yesmaximal, characteristic, complemented
18#13071345C211yesmaximal, characteristic, complemented
19#13071343C211yesmaximal, characteristic, complemented
20#13071343C211yesmaximal, characteristic, complemented
21#13071227C211yesmaximal, characteristic
22#13071154C211yesmaximal, characteristic, complemented
23C4×#66950C211yesmaximal, characteristic, complemented
24#13071150C211yesmaximal, characteristic, complemented
25C4×#66949C211yesmaximal, characteristic, complemented
26C2×#10622281C211yesmaximal, characteristic
27D11×#385C211yesmaximal, characteristic
28#13070968C211yesmaximal, characteristic
29#13070968C211yesmaximal, characteristic
30C4×C22⋊C4×D11C211yesmaximal, characteristic
31C11×#2368C211yesmaximal, characteristic, complemented
32C23×C4×D11C2211yescharacteristic
33C2×C11×C22⋊Q8C2211yescharacteristic
34C2×#66999C2211yescharacteristic
35C2×#66999C2211yescharacteristic
36C2×Q8×Dic11C2211yescharacteristic, complemented
37C22×(C2×D11)⋊C4C2211yescharacteristic
38C22×(C2×D11)⋊C4C2211yescharacteristic
39C22×C4⋊Dic11C2211yescharacteristic
40C2×#66977C2211yescharacteristic
41C22×Dic11⋊C4C2211yescharacteristic
42#10623165C4116yescomplemented
43C2×#66950C2211yescharacteristic
44C2×#66950C2211yescharacteristic
45C2×#66949C2211yescharacteristic
46C2×#66949C2211yescharacteristic
47C2×#66949C2211yescharacteristic
48C2×#66949C2211yescharacteristic
49C2×C4⋊C4×D11C2211yescharacteristic
50C2×C4⋊C4×D11C2211yescharacteristic
51C2×#66940C2211yescharacteristic, complemented
52C2×C22⋊C4×D11C2211yescharacteristic
53C2×C22⋊C4×D11C2211yescharacteristic
54C2×C22⋊C4×D11C2211yescharacteristic
55C2×C22⋊C4×D11C2211yescharacteristic
56C2×#66931C2211yescharacteristic
57C2×#66931C2211yescharacteristic
58C2×C42×D11C2211yescharacteristic
59C2×C42×D11C2211yescharacteristic
60C2×C4×Dic22C2211yescharacteristic, complemented
61C2×C4×Dic22C2211yescharacteristic, complemented
62C11×#391C2211yescharacteristic, complemented
63C11×#391C2211yescharacteristic, complemented
64C11×#387C2211yescharacteristic, complemented
65C11×#387C2211yescharacteristic, complemented
66C11×#387C2211yescharacteristic, complemented
67C11×#387C2211yescharacteristic, complemented
68C11×#385C2211yescharacteristic
69C11×#385C2211yescharacteristic
70C4×C11×C4⋊C4C2211yescharacteristic, complemented
71C4×C11×C4⋊C4C2211yescharacteristic, complemented
72C4×C11×C22⋊C4C2211yescharacteristic
73C4×C11×C22⋊C4C2211yescharacteristic
74C4×C11×C22⋊C4C2211yescharacteristic
75C2×C11×#95C2211yescharacteristic
76#10622843C2211yescharacteristic, complemented
77#10622823C2211yescharacteristic
78#10622823C2211yescharacteristic
79C4×C22⋊Dic11C2211yescharacteristic
80C4×C22⋊Dic11C2211yescharacteristic
81C4×C22⋊Dic11C2211yescharacteristic
82C2×C11⋊#95C2211yescharacteristic
83#10622602C2211yescharacteristic
84#10622602C2211yescharacteristic
85#10622602C2211yescharacteristic
86#10622602C2211yescharacteristic
87#10622600C2211yescharacteristic
88#10622600C2211yescharacteristic
89#10622598C2211yescharacteristic, complemented
90#10622598C2211yescharacteristic, complemented
91#10622598C2211yescharacteristic, complemented
92#10622594C2211yescharacteristic, complemented
93#10622594C2211yescharacteristic, complemented
94#10622591C2211yescharacteristic, complemented
95#10622591C2211yescharacteristic, complemented
96C4⋊C4×Dic11C2211yescharacteristic, complemented
97C4⋊C4×Dic11C2211yescharacteristic, complemented
98#10622587C2211yescharacteristic, complemented
99#10622586C2211yescharacteristic, complemented
100#10622585C2211yescharacteristic, complemented
101#10622585C2211yescharacteristic, complemented
102#10622563C2211yescharacteristic
103#10622563C2211yescharacteristic
104#10622559C2211yescharacteristic
105#10622559C2211yescharacteristic
106C22⋊C4×Dic11C2211yescharacteristic
107C22⋊C4×Dic11C2211yescharacteristic
108C22⋊C4×Dic11C2211yescharacteristic
109C22⋊C4×Dic11C2211yescharacteristic
110C22⋊C4×Dic11C2211yescharacteristic
111C22⋊C4×Dic11C2211yescharacteristic
112C4×(C2×D11)⋊C4C2211yescharacteristic
113C4×(C2×D11)⋊C4C2211yescharacteristic
114C4×(C2×D11)⋊C4C2211yescharacteristic
115C4×(C2×D11)⋊C4C2211yescharacteristic
116C4×(C2×D11)⋊C4C2211yescharacteristic
117C4×(C2×D11)⋊C4C2211yescharacteristic
118C4×(C2×D11)⋊C4C2211yescharacteristic
119C4×(C2×D11)⋊C4C2211yescharacteristic
120C4×(C2×D11)⋊C4C2211yescharacteristic
121C4×(C2×D11)⋊C4C2211yescharacteristic
122C4×C4⋊Dic11C2211yescharacteristic, complemented
123C4×C4⋊Dic11C2211yescharacteristic, complemented
124#10622546C2211yescharacteristic, complemented
125#10622546C2211yescharacteristic, complemented
126C4×Dic11⋊C4C2211yescharacteristic, complemented
127C4×Dic11⋊C4C2211yescharacteristic, complemented
128#10622542C2211yescharacteristic, complemented
129#10622542C2211yescharacteristic, complemented
130#10622541C2211yescharacteristic, complemented
131#10622541C2211yescharacteristic, complemented
132#10622281C2211yescharacteristic
133#10622281C2211yescharacteristic
134#10622281C2211yescharacteristic
135#10622281C2211yescharacteristic
136#10622281C2211yescharacteristic
137#10622281C2211yescharacteristic
138#10622281C2211yescharacteristic
139#10622281C2211yescharacteristic
140#10622281C2211yescharacteristic
141#10622281C2211yescharacteristic
142#10622281C2211yescharacteristic
143#10622281C2211yescharacteristic
144#10622280C2211yescharacteristic
145#10622280C2211yescharacteristic
146#10622279C2211yescharacteristic
147#10622279C2211yescharacteristic
148#10622279C2211yescharacteristic
149#10622279C2211yescharacteristic
150#10622279C2211yescharacteristic
151#10622279C2211yescharacteristic
152#10622279C2211yescharacteristic
153#10622279C2211yescharacteristic
154#10622279C2211yescharacteristic
155#10622279C2211yescharacteristic
156D11×#95C2211yescharacteristic
157D11×#95C2211yescharacteristic
158D11×#95C2211yescharacteristic
159D11×#95C2211yescharacteristic
160#10622268C2211yescharacteristic, complemented
161#10622268C2211yescharacteristic, complemented
162#10622268C2211yescharacteristic, complemented
163#10622268C2211yescharacteristic, complemented
164#10622267C2211yescharacteristic, complemented
165#10622267C2211yescharacteristic, complemented
166#10622266C2211yescharacteristic, complemented
167#10622266C2211yescharacteristic, complemented
168#10622266C2211yescharacteristic, complemented
169#10622266C2211yescharacteristic, complemented
170#10622265C2211yescharacteristic, complemented
171#10622265C2211yescharacteristic, complemented
172#10622265C2211yescharacteristic, complemented
173#10622265C2211yescharacteristic, complemented
174#10622262C2211yescharacteristic, complemented
175#10622262C2211yescharacteristic, complemented
176#10622262C2211yescharacteristic, complemented
177#10622262C2211yescharacteristic, complemented
178#10622260C2211yescharacteristic, complemented
179#10622260C2211yescharacteristic, complemented
180#10622260C2211yescharacteristic, complemented
181#10622260C2211yescharacteristic, complemented
182#10622259C2211yescharacteristic, complemented
183#10622259C2211yescharacteristic, complemented
184#10622259C2211yescharacteristic, complemented
185#10622259C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187#10622259C2211yescharacteristic, complemented
188C24×D11C2311yescharacteristic
189C22×Q8×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C23×Dic11C2311yescharacteristic
194C23×Dic11C2311yescharacteristic
195C23×Dic11C2311yescharacteristic
196C22×C4×D11—24no—
197C22×C4×D11—42no—
198C22×C4×D11—42no—
199C22×C4×D11C2311yescharacteristic
200C22×C4×D11C2311yescharacteristic
201C22×C4×D11C2311yescharacteristic
202C22×C4×D11C2311yescharacteristic
203C22×C4×D11C2311yescharacteristic
204C22×C4×D11C2311yescharacteristic
205C22×C4×D11C2311yescharacteristic
206C22×C4×D11C2311yescharacteristic
207C22×C4×D11C2311yescharacteristic
208C22×C4×D11C2311yescharacteristic
209C22×C4×D11C2311yescharacteristic
210C22×C4×D11C2311yescharacteristic
211C22×Dic22C2311yescharacteristic
212C22×Dic22C2311yescharacteristic
213C22×Dic22C2311yescharacteristic
214C11×C22⋊Q8C2×C418yescomplemented
215C2×C11×C4⋊C4C2311yescharacteristic
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C4⋊C4C2311yescharacteristic
219C2×C11×C4⋊C4C2311yescharacteristic
220C2×C11×C4⋊C4C2311yescharacteristic
221C2×C11×C4⋊C4C2311yescharacteristic
222C2×C11×C22⋊C4C2311yescharacteristic
223C2×C11×C22⋊C4C2311yescharacteristic
224C2×C11×C22⋊C4C2311yescharacteristic
225C2×C11×C22⋊C4C2311yescharacteristic
226C2×C42×C11C2311yescharacteristic
227C2×C42×C11C2311yescharacteristic
228C2×C42×C11C2311yescharacteristic
229C2×C42×C11C2311yescharacteristic
230C2×C42×C11C2311yescharacteristic
231C2×C42×C11C2311yescharacteristic
232C2×C22⋊Dic11C2311yescharacteristic
233C2×C22⋊Dic11C2311yescharacteristic
234C2×C22⋊Dic11C2311yescharacteristic
235C2×C22⋊Dic11C2311yescharacteristic
236#66999C2×C418yescomplemented
237#66999C2×C418yescomplemented
238Q8×Dic11—42no—
239C2×(C2×D11)⋊C4—24no—
240C2×(C2×D11)⋊C4C2×C418yes—
241C2×(C2×D11)⋊C4C2311yescharacteristic
242C2×(C2×D11)⋊C4C2311yescharacteristic
243C2×(C2×D11)⋊C4C2311yescharacteristic
244C2×(C2×D11)⋊C4C2311yescharacteristic
245C2×(C2×D11)⋊C4C2311yescharacteristic
246C2×(C2×D11)⋊C4C2311yescharacteristic
247C2×(C2×D11)⋊C4C2311yescharacteristic
248C2×(C2×D11)⋊C4C2311yescharacteristic
249C2×(C2×D11)⋊C4C2311yescharacteristic
250C2×(C2×D11)⋊C4C2311yescharacteristic
251C2×(C2×D11)⋊C4C2311yescharacteristic
252C2×(C2×D11)⋊C4C2311yescharacteristic
253C2×(C2×D11)⋊C4C2311yescharacteristic
254C2×(C2×D11)⋊C4C2311yescharacteristic
255C2×(C2×D11)⋊C4C2311yescharacteristic
256C2×(C2×D11)⋊C4C2311yescharacteristic
257C2×C4⋊Dic11—42no—
258C2×C4⋊Dic11C2311yescharacteristic
259C2×C4⋊Dic11C2311yescharacteristic
260C2×C4⋊Dic11C2311yescharacteristic
261C2×C4⋊Dic11C2311yescharacteristic
262C2×C4⋊Dic11C2311yescharacteristic
263C2×C4⋊Dic11C2311yescharacteristic
264C2×C4⋊Dic11C2311yescharacteristic
265C2×C4⋊Dic11C2311yescharacteristic
266C2×C4⋊Dic11C2311yescharacteristic
267C2×C4⋊Dic11C2311yescharacteristic
268C2×C4⋊Dic11C2311yescharacteristic
269#66977C2×C418yescomplemented
270C2×Dic11⋊C4—42no—
271C2×Dic11⋊C4C2311yescharacteristic
272C2×Dic11⋊C4C2311yescharacteristic
273C2×Dic11⋊C4C2311yescharacteristic
274C2×Dic11⋊C4C2311yescharacteristic
275C2×Dic11⋊C4C2311yescharacteristic
276C2×Dic11⋊C4C2311yescharacteristic
277C2×Dic11⋊C4C2311yescharacteristic
278C2×Dic11⋊C4C2311yescharacteristic
279C2×Dic11⋊C4C2311yescharacteristic
280C2×Dic11⋊C4C2311yescharacteristic
281C2×Dic11⋊C4C2311yescharacteristic
282C2×Dic11⋊C4C2311yescharacteristic
283C2×Dic11⋊C4C2311yescharacteristic
284C2×Dic11⋊C4C2311yescharacteristic
285C2×Dic11⋊C4C2311yescharacteristic
286C2×Dic11⋊C4C2311yescharacteristic
287C2×Dic11⋊C4C2311yescharacteristic
288C2×Dic11⋊C4C2311yescharacteristic
289C2×C4×Dic11C2311yescharacteristic
290C2×C4×Dic11C2311yescharacteristic
291C2×C4×Dic11C2311yescharacteristic
292C2×C4×Dic11C2311yescharacteristic
293C2×C4×Dic11C2311yescharacteristic
294C2×C4×Dic11C2311yescharacteristic
295C2×C4×Dic11C2311yescharacteristic
296C2×C4×Dic11C2311yescharacteristic
297C2×C4×Dic11C2311yescharacteristic
298C2×C4×Dic11C2311yescharacteristic
299C2×C4×Dic11C2311yescharacteristic
300C2×C4×Dic11C2311yescharacteristic
301C2×C4×Dic11C2311yescharacteristic
302C2×C4×Dic11C2311yescharacteristic
303C2×C4×Dic11C2311yescharacteristic
304C2×C4×Dic11C2311yescharacteristic
305C2×C4×Dic11C2311yescharacteristic
306C2×C4×Dic11C2311yescharacteristic
307#66950C2×C418yescomplemented
308#66950C2×C418yescomplemented
309#66949C2×C418yescomplemented
310#66949C2×C418yescomplemented
311#66949C2×C418yescomplemented
312#66949C2×C418yescomplemented
313C4⋊C4×D11—42no—
314C4⋊C4×D11—42no—
315#66940—42no—
316C22⋊C4×D11—24no—
317C22⋊C4×D11C2×C418yes—
318C22⋊C4×D11C2×C418yes—
319C22⋊C4×D11Q818yescomplemented
320#66931C2×C418yescomplemented
321#66931C2×C418yescomplemented
322C42×D11—42no—
323C42×D11—42no—
324C4×Dic22—42no—
325C4×Dic22—42no—
326C11×#95C2311yescharacteristic
327C11×#95C2311yescharacteristic
328C11×#95C2311yescharacteristic
329C11×#95C2311yescharacteristic
330C11×#95C2311yescharacteristic
331C11×#95C2311yescharacteristic
332C11×#95C2311yescharacteristic
333C11×#95C2311yescharacteristic
334C11×#95C2311yescharacteristic
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
374#34270—111nomaximal, Sylow
375C24×C11C2411yescharacteristic
376C23×D11—41no—
377C23×D11—41no—
378C23×D11—41no—
379C23×D11—41no—
380C23×D11C22×C414yes—
381C23×D11C2×Q814yes—
382C23×D11#4114yes—
383C23×D11C2411yescharacteristic
384C23×D11C2411yescharacteristic
385C2×Q8×C11—41no—
386C2×Q8×C11—41no—
387C2×Q8×C11C22×C414yescomplemented
388C22×C4×C11—22no—
389C22×C4×C11—22no—
390C22×C4×C11—22no—
391C22×C4×C11—41no—
392C22×C4×C11—41no—
393C22×C4×C11—41no—
394C22×C4×C11—41no—
395C22×C4×C11—41no—
396C22×C4×C11C22×C414yes—
397C22×C4×C11C2411yescharacteristic
398C22×C4×C11C2411yescharacteristic
399C22×C4×C11C2411yescharacteristic
400C22×C4×C11C2411yescharacteristic
401C22×C4×C11C2411yescharacteristic
402C22×C4×C11C2411yescharacteristic
403C22×C4×C11C2411yescharacteristic
404C22×C4×C11C2411yescharacteristic
405C22×C4×C11C2411yescharacteristic
406C22×C4×C11C2411yescharacteristic
407C22×C4×C11C2411yescharacteristic
408C22×C4×C11C2411yescharacteristic
409C22×C4×C11C2411yescharacteristic
410C22×C4×C11C2411yescharacteristic
411C22×Dic11—22no—
412C22×Dic11—22no—
413C22×Dic11—22no—
414C22×Dic11—41no—
415C22×Dic11—41no—
416C22×Dic11—41no—
417C22×Dic11—41no—
418C22×Dic11—41no—
419C22×Dic11C22×C414yes—
420C22×Dic11C2411yescharacteristic
421C22×Dic11C2411yescharacteristic
422C22×Dic11C2411yescharacteristic
423C22×Dic11C2411yescharacteristic
424C22×Dic11C2411yescharacteristic
425C22×Dic11C2411yescharacteristic
426C22×Dic11C2411yescharacteristic
427C22×Dic11C2411yescharacteristic
428C22×Dic11C2411yescharacteristic
429C22×Dic11C2411yescharacteristic
430C22×Dic11C2411yescharacteristic
431C22×Dic11C2411yescharacteristic
432C22×Dic11C2411yescharacteristic
433C22×Dic11C2411yescharacteristic
434C2×C4×D11—22no—
435C2×C4×D11—22no—
436C2×C4×D11—22no—
437C2×C4×D11—22no—
438C2×C4×D11—22no—
439C2×C4×D11—22no—
440C2×C4×D11—22no—
441C2×C4×D11—22no—
442C2×C4×D11—22no—
443C2×C4×D11—22no—
444C2×C4×D11—41no—
445C2×C4×D11—41no—
446C2×C4×D11—41no—
447C2×C4×D11—41no—
448C2×C4×D11—41no—
449C2×C4×D11—41no—
450C2×C4×D11—41no—
451C2×C4×D11—41no—
452C2×C4×D11—41no—
453C2×C4×D11—41no—
454C2×C4×D11—41no—
455C2×C4×D11—41no—
456C2×C4×D11—41no—
457C2×C4×D11—41no—
458C2×C4×D11—41no—
459C2×C4×D11—41no—
460C2×C4×D11—41no—
461C2×C4×D11—41no—
462C2×C4×D11—41no—
463C2×C4×D11—41no—
464C2×C4×D11—416no—
465C2×C4×D11C22×C414yes—
466C2×C4×D11C22×C414yes—
467C2×C4×D11C22×C414yes—
468C2×C4×D11C22×C414yes—
469C2×C4×D11C2×Q814yes—
470C2×C4×D11C2×Q814yes—
471C2×Dic22—41no—
472C2×Dic22—41no—
473C2×Dic22—41no—
474C2×Dic22—41no—
475C2×Dic22—41no—
476C2×Dic22—41no—
477C2×Dic22C22×C414yescomplemented
478C2×Dic22C22×C414yescomplemented
479C2×Dic22C22×C414yescomplemented
480C11×C4⋊C4—22no—
481C11×C4⋊C4—41no—
482C11×C4⋊C4—41no—
483C11×C4⋊C4—41no—
484C11×C4⋊C4C22×C414yescomplemented
485C11×C4⋊C4C22×C414yescomplemented
486C11×C4⋊C4C22×C414yescomplemented
487C11×C22⋊C4—22no—
488C11×C22⋊C4C22×C414yes—
489C11×C22⋊C4C22×C414yes—
490C11×C22⋊C4C2×Q814yes—
491C42×C11—22no—
492C42×C11—41no—
493C42×C11—41no—
494C42×C11—41no—
495C42×C11—41no—
496C42×C11—41no—
497C22⋊Dic11—22no—
498C22⋊Dic11C22×C414yes—
499C22⋊Dic11C22×C414yes—
500C22⋊Dic11C2×Q814yes—
501(C2×D11)⋊C4—22no—
502(C2×D11)⋊C4—22no—
503(C2×D11)⋊C4—22no—
504(C2×D11)⋊C4—22no—
505(C2×D11)⋊C4—22no—
506(C2×D11)⋊C4—22no—
507(C2×D11)⋊C4C22×C414yes—
508(C2×D11)⋊C4C22×C414yes—
509(C2×D11)⋊C4C22×C414yes—
510(C2×D11)⋊C4C22×C414yes—
511(C2×D11)⋊C4C22×C414yes—
512(C2×D11)⋊C4C22×C414yes—
513(C2×D11)⋊C4C22×C414yes—
514(C2×D11)⋊C4C22×C414yes—
515(C2×D11)⋊C4C2×Q814yes—
516(C2×D11)⋊C4C2×Q814yes—
517C4⋊Dic11—22no—
518C4⋊Dic11—22no—
519C4⋊Dic11—22no—
520C4⋊Dic11—41no—
521C4⋊Dic11—41no—
522C4⋊Dic11—41no—
523C4⋊Dic11—41no—
524C4⋊Dic11—41no—
525C4⋊Dic11C22×C414yescomplemented
526C4⋊Dic11C22×C414yescomplemented
527C4⋊Dic11C22×C414yescomplemented
528Dic11⋊C4—22no—
529Dic11⋊C4—22no—
530Dic11⋊C4—22no—
531Dic11⋊C4—22no—
532Dic11⋊C4—41no—
533Dic11⋊C4—41no—
534Dic11⋊C4—41no—
535Dic11⋊C4—41no—
536Dic11⋊C4—41no—
537Dic11⋊C4—41no—
538Dic11⋊C4—41no—
539Dic11⋊C4—41no—
540Dic11⋊C4C22×C414yescomplemented
541Dic11⋊C4C22×C414yescomplemented
542Dic11⋊C4C22×C414yescomplemented
543Dic11⋊C4C22×C414yescomplemented
544Dic11⋊C4C22×C414yescomplemented
545Dic11⋊C4C22×C414yescomplemented
546C4×Dic11—22no—
547C4×Dic11—22no—
548C4×Dic11—22no—
549C4×Dic11—41no—
550C4×Dic11—41no—
551C4×Dic11—41no—
552C4×Dic11—41no—
553C4×Dic11—41no—
554C4×Dic11—41no—
555C4×Dic11—41no—
556C4×Dic11—41no—
557C4×Dic11—41no—
558C4×Dic11—41no—
559C4×Dic11—41no—
560C4×Dic11—41no—
561C4×Dic11—41no—
562C4×Dic11—41no—
563C4×Dic11—41no—
564C2×#543—111no—
565#2368—111no—
566#2368—111no—
567#2368—111no—
568#2368—111no—
569#2368—111no—
570#2368—111no—
571#2368—111no—
572#2368D1111yescharacteristic, complemented
573#2360—111no—
574#2360—111no—
575#2360—111no—
576#2360—111no—
577#2360—111no—
578#2360—111no—
579#2360—111no—
580#2360—111no—
581#2329—111no—
582#2329—111no—
583#2329—111no—
584#2329—111no—
585#2315—111no—
586C4×C22⋊Q8—111no—
587C4×C22⋊Q8—111no—
588C4×C22⋊Q8—111no—
589C4×C22⋊Q8—111no—
590C2×#385—111no—
591C2×#385—111no—
592#2273—111no—
593#2273—111no—
594C2×C4×C22⋊C4—111no—
595C23×C11—21no—
596C23×C11—21no—
597C23×C11—21no—
598C23×C11—21no—
599C23×C11C23×C412yes—
600C23×C11C22×Q812yes—
601C23×C11C2×#4112yes—
602C23×C11C2511yescharacteristic
603C22×D11—21no—
604C22×D11—21no—
605C22×D11—21no—
606C22×D11—21no—
607C22×D11—21no—
608C22×D11—21no—
609C22×D11—21no—
610C22×D11—21no—
611C22×D11—44no—
612C22×D11—44no—
613C22×D11—44no—
614C22×D11—44no—
615C22×D11—44no—
616C22×D11—44no—
617C22×D11C4×Q8116yescomplemented
618C22×D11C23×C412yes—
619C22×D11C23×C412yes—
620C22×D11C22×Q812yes—
621C22×D11C22×Q812yes—
622C22×D11C2×#4112yes—
623C22×D11C2×#4112yes—
624Q8×C11—44no—
625C2×C4×C11—21no—
626C2×C4×C11—21no—
627C2×C4×C11—21no—
628C2×C4×C11—21no—
629C2×C4×C11—21no—
630C2×C4×C11—21no—
631C2×C4×C11—21no—
632C2×C4×C11—21no—
633C2×C4×C11—21no—
634C2×C4×C11—21no—
635C2×C4×C11—21no—
636C2×C4×C11—21no—
637C2×C4×C11—21no—
638C2×C4×C11—21no—
639C2×C4×C11—21no—
640C2×C4×C11—21no—
641C2×C4×C11—21no—
642C2×C4×C11—21no—
643C2×C4×C11—21no—
644C2×C4×C11—21no—
645C2×C4×C11—21no—
646C2×C4×C11—21no—
647C2×C4×C11—21no—
648C2×C4×C11—21no—
649C2×C4×C11—21no—
650C2×C4×C11—21no—
651C2×C4×C11—21no—
652C2×C4×C11—21no—
653C2×C4×C11—21no—
654C2×C4×C11—21no—
655C2×C4×C11—21no—
656C2×C4×C11—21no—
657C2×C4×C11—21no—
658C2×C4×C11—44no—
659C2×C4×C11—44no—
660C2×C4×C11—82no—
661C2×C4×C11C23×C412yes—
662C2×C4×C11C23×C412yes—
663C2×C4×C11C23×C412yes—
664C2×C4×C11C23×C412yes—
665C2×C4×C11C23×C412yes—
666C2×C4×C11C23×C412yes—
667C2×C4×C11C22×Q812yes—
668C2×C4×C11C22×Q812yes—
669C2×C4×C11H(5,𝔽2)12yes—
670C2×Dic11—21no—
671C2×Dic11—21no—
672C2×Dic11—21no—
673C2×Dic11—21no—
674C2×Dic11—21no—
675C2×Dic11—21no—
676C2×Dic11—21no—
677C2×Dic11—21no—
678C2×Dic11—21no—
679C2×Dic11—21no—
680C2×Dic11—21no—
681C2×Dic11—21no—
682C2×Dic11—21no—
683C2×Dic11—21no—
684C2×Dic11—21no—
685C2×Dic11—21no—
686C2×Dic11—21no—
687C2×Dic11—21no—
688C2×Dic11—21no—
689C2×Dic11—21no—
690C2×Dic11—21no—
691C2×Dic11—21no—
692C2×Dic11—21no—
693C2×Dic11—21no—
694C2×Dic11—21no—
695C2×Dic11—21no—
696C2×Dic11—21no—
697C2×Dic11—21no—
698C2×Dic11—21no—
699C2×Dic11—21no—
700C2×Dic11—21no—
701C2×Dic11—21no—
702C2×Dic11—21no—
703C2×Dic11—44no—
704C2×Dic11—44no—
705C2×Dic11—82no—
706C2×Dic11C23×C412yes—
707C2×Dic11C23×C412yes—
708C2×Dic11C23×C412yes—
709C2×Dic11C23×C412yes—
710C2×Dic11C23×C412yes—
711C2×Dic11C23×C412yes—
712C2×Dic11C22×Q812yes—
713C2×Dic11C22×Q812yes—
714C2×Dic11H(5,𝔽2)12yes—
715C4×D11—28no—
716C4×D11—44no—
717C4×D11—44no—
718C4×D11—44no—
719C4×D11—44no—
720C4×D11—44no—
721C4×D11—44no—
722C4×D11—44no—
723C4×D11—44no—
724C4×D11—44no—
725C4×D11—82no—
726C4×D11—82no—
727Dic22—44no—
728Dic22—44no—
729Dic22—44no—
730C24×C4—111no—
731#543—1116no—
732C2×C22⋊Q8—111no—
733C2×C22⋊Q8—111no—
734C2×C22⋊Q8—111no—
735C2×C22⋊Q8—111no—
736C2×C22⋊Q8—111no—
737C2×C22⋊Q8—111no—
738C2×C22⋊Q8—111no—
739C2×C22⋊Q8—111no—
740C2×C22⋊Q8—111no—
741C2×C22⋊Q8—111no—
742C2×C22⋊Q8—111no—
743C2×C22⋊Q8C2×D1111yescharacteristic
744C2×C4×Q8—111no—
745C2×C4×Q8—111no—
746C2×C4×Q8—111no—
747C2×C4×Q8—111no—
748C22×C4⋊C4—111no—
749C22×C4⋊C4—111no—
750C22×C4⋊C4—111no—
751C22×C4⋊C4—111no—
752C22×C22⋊C4—111no—
753C22×C22⋊C4—111no—
754C22×C22⋊C4—111no—
755C22×C22⋊C4—111no—
756C22×C22⋊C4—111no—
757C22×C22⋊C4—111no—
758C22×C42—111no—
759C22×C42—111no—
760#391—111no—
761#391—111no—
762#391—111no—
763#391—111no—
764#391—111no—
765#391—111no—
766#391—111no—
767#391—111no—
768#391—111no—
769#391—111no—
770#391C2×D1111yescharacteristic, complemented
771#391C2×D1111yescharacteristic, complemented
772#389—111no—
773#389—111no—
774#389—111no—
775#389—111no—
776#389—111no—
777#389—111no—
778#389—111no—
779#389—111no—
780#389—111no—
781#389—111no—
782#389—111no—
783#389—111no—
784#387—111no—
785#387—111no—
786#387—111no—
787#387—111no—
788#387—111no—
789#387—111no—
790#387—111no—
791#387—111no—
792#387—111no—
793#387—111no—
794#387—111no—
795#387—111no—
796#387—111no—
797#387—111no—
798#387—111no—
799#387—111no—
800#387—111no—
801#387—111no—
802#387—111no—
803#387—111no—
804#387C2×D1111yescharacteristic, complemented
805#387C2×D1111yescharacteristic, complemented
806#387C2×D1111yescharacteristic, complemented
807#387C2×D1111yescharacteristic, complemented
808#385—111no—
809#385—111no—
810#385—111no—
811#385—111no—
812#385—111no—
813#385—111no—
814#385—111no—
815#385—111no—
816#385—111no—
817#385—111no—
818#385—111no—
819#385—111no—
820#385—111no—
821#385—111no—
822#385—111no—
823#385—111no—
824#385—111no—
825#385—111no—
826#385—111no—
827#385—111no—
828#385—111no—
829#385—111no—
830#385C2×D1111yescharacteristic
831#385C2×D1111yescharacteristic
832#380—111no—
833#380—111no—
834#380—111no—
835#380—111no—
836C4×C4⋊C4—111no—
837C4×C4⋊C4—111no—
838C4×C4⋊C4—111no—
839C4×C4⋊C4—111no—
840C4×C4⋊C4—111no—
841C4×C4⋊C4—111no—
842C4×C4⋊C4—111no—
843C4×C4⋊C4—111no—
844C4×C4⋊C4—111no—
845C4×C4⋊C4—111no—
846C4×C4⋊C4C2×D1111yescharacteristic, complemented
847C4×C4⋊C4C2×D1111yescharacteristic, complemented
848C4×C22⋊C4—111no—
849C4×C22⋊C4—111no—
850C4×C22⋊C4—111no—
851C4×C22⋊C4—111no—
852C4×C22⋊C4—111no—
853C4×C22⋊C4—111no—
854C4×C22⋊C4—111no—
855C4×C22⋊C4—111no—
856C4×C22⋊C4—111no—
857C4×C22⋊C4—111no—
858C4×C22⋊C4—111no—
859C4×C22⋊C4—111no—
860C4×C22⋊C4—111no—
861C4×C22⋊C4—111no—
862C4×C22⋊C4—111no—
863C4×C22⋊C4—111no—
864C4×C22⋊C4—111no—
865C4×C22⋊C4—111no—
866C4×C22⋊C4—111no—
867C4×C22⋊C4—111no—
868C4×C22⋊C4—111no—
869C4×C22⋊C4—111no—
870C4×C22⋊C4—111no—
871C4×C22⋊C4—111no—
872C4×C22⋊C4—111no—
873C4×C22⋊C4—111no—
874C4×C22⋊C4—111no—
875C4×C22⋊C4—111no—
876C4×C22⋊C4—111no—
877C4×C22⋊C4C2×D1111yescharacteristic
878C4×C22⋊C4C2×D1111yescharacteristic
879C4×C22⋊C4C2×D1111yescharacteristic
880C2×#95—111no—
881C2×#95—111no—
882C2×#95—111no—
883C2×#95—111no—
884C2×#95—111no—
885C2×#95C2×D1111yescharacteristic
886C22×C11—22no—
887C22×C11—22no—
888C22×C11—22no—
889C22×C11—22no—
890C22×C11—22no—
891C22×C11—22no—
892C22×C11C2×C4×Q814yes—
893C22×C11C24×C411yescharacteristic
894C22×C11C23×Q811yescharacteristic
895C22×C11C22×#4111yescharacteristic
896C22×C11C2×H(5,𝔽2)11yescharacteristic
897C22×C11C2×H(5,𝔽2)11yescharacteristic
898C22×C11#58511yescharacteristic
899C22×C11#58511yescharacteristic
900C2×D11—22no—
901C2×D11—22no—
902C2×D11—22no—
903C2×D11—22no—
904C2×D11—22no—
905C2×D11—22no—
906C2×D11—22no—
907C2×D11—22no—
908C2×D11—22no—
909C2×D11—22no—
910C2×D11—22no—
911C2×D11—22no—
912C2×D11—416no—
913C2×D11C2×C4×Q814yes—
914C2×D11C2×C4×Q814yes—
915C4×C11—22no—
916C4×C11—22no—
917C4×C11—22no—
918C4×C11—22no—
919C4×C11—22no—
920C4×C11—22no—
921C4×C11—22no—
922C4×C11—22no—
923C4×C11—22no—
924C4×C11—41no—
925C4×C11—41no—
926C4×C11—41no—
927C4×C11—41no—
928C4×C11—41no—
929Dic11—22no—
930Dic11—22no—
931Dic11—22no—
932Dic11—22no—
933Dic11—22no—
934Dic11—22no—
935Dic11—22no—
936Dic11—22no—
937Dic11—22no—
938Dic11—41no—
939Dic11—41no—
940Dic11—41no—
941Dic11—41no—
942Dic11—41no—
943C25—111no—
944C22×Q8—111no—
945C22×Q8—111no—
946C22×Q8—111no—
947C22×Q8C22×D1111yescharacteristic
948C23×C4—111no—
949C23×C4—111no—
950C23×C4—111no—
951C23×C4—111no—
952C23×C4—111no—
953C23×C4—111no—
954C23×C4—111no—
955C23×C4—111no—
956C23×C4—111no—
957C23×C4—111no—
958C23×C4—111no—
959C23×C4—111no—
960C23×C4—111no—
961C23×C4—111no—
962C23×C4—111no—
963C23×C4—224no—
964C23×C4—442no—
965C23×C4—442no—
966C23×C4C22×D1111yescharacteristic
967C23×C4C22×D1111yescharacteristic
968C23×C4C22×D1111yescharacteristic
969C22⋊Q8—118no—
970C22⋊Q8—118no—
971C22⋊Q8—118no—
972C22⋊Q8—118no—
973C22⋊Q8—118no—
974C22⋊Q8—118no—
975C22⋊Q8—118no—
976C22⋊Q8—118no—
977C22⋊Q8—118no—
978C22⋊Q8—118no—
979C22⋊Q8—118no—
980C22⋊Q8C4×D1118yescomplemented
981C4×Q8—442no—
982C4×Q8—442no—
983C4×Q8—442no—
984C4×Q8—442no—
985C2×C4⋊C4—111no—
986C2×C4⋊C4—111no—
987C2×C4⋊C4—111no—
988C2×C4⋊C4—111no—
989C2×C4⋊C4—111no—
990C2×C4⋊C4—111no—
991C2×C4⋊C4—111no—
992C2×C4⋊C4—111no—
993C2×C4⋊C4—111no—
994C2×C4⋊C4—111no—
995C2×C4⋊C4—111no—
996C2×C4⋊C4—111no—
997C2×C4⋊C4—111no—
998C2×C4⋊C4—111no—
999C2×C4⋊C4—111no—
1000C2×C4⋊C4—111no—
1001C2×C4⋊C4—111no—
1002C2×C4⋊C4—111no—
1003C2×C4⋊C4—111no—
1004C2×C4⋊C4—111no—
1005C2×C4⋊C4—111no—
1006C2×C4⋊C4—111no—
1007C2×C4⋊C4—111no—
1008C2×C4⋊C4—111no—
1009C2×C4⋊C4—111no—
1010C2×C4⋊C4—111no—
1011C2×C4⋊C4—111no—
1012C2×C4⋊C4—111no—
1013C2×C4⋊C4—111no—
1014C2×C4⋊C4—442no—
1015C2×C4⋊C4—442no—
1016C2×C4⋊C4—442no—
1017C2×C4⋊C4—442no—
1018C2×C4⋊C4C22×D1111yescharacteristic
1019C2×C4⋊C4C22×D1111yescharacteristic
1020C2×C4⋊C4C22×D1111yescharacteristic
1021C2×C4⋊C4C22×D1111yescharacteristic
1022C2×C4⋊C4C22×D1111yescharacteristic
1023C2×C4⋊C4C22×D1111yescharacteristic
1024C2×C4⋊C4C22×D1111yescharacteristic
1025C2×C22⋊C4—111no—
1026C2×C22⋊C4—111no—
1027C2×C22⋊C4—111no—
1028C2×C22⋊C4—118no—
1029C2×C22⋊C4—111no—
1030C2×C22⋊C4—111no—
1031C2×C22⋊C4—111no—
1032C2×C22⋊C4—111no—
1033C2×C22⋊C4—111no—
1034C2×C22⋊C4—111no—
1035C2×C22⋊C4—111no—
1036C2×C22⋊C4—111no—
1037C2×C22⋊C4—111no—
1038C2×C22⋊C4—111no—
1039C2×C22⋊C4—118no—
1040C2×C22⋊C4—118no—
1041C2×C22⋊C4—118no—
1042C2×C22⋊C4—111no—
1043C2×C22⋊C4—111no—
1044C2×C22⋊C4—111no—
1045C2×C22⋊C4—111no—
1046C2×C22⋊C4—111no—
1047C2×C22⋊C4—111no—
1048C2×C22⋊C4—111no—
1049C2×C22⋊C4—224no—
1050C2×C22⋊C4—224no—
1051C2×C22⋊C4C22×D1111yescharacteristic
1052C2×C22⋊C4C22×D1111yescharacteristic
1053C2×C22⋊C4C22×D1111yescharacteristic
1054C2×C22⋊C4C22×D1111yescharacteristic
1055C2×C42—111no—
1056C2×C42—111no—
1057C2×C42—111no—
1058C2×C42—111no—
1059C2×C42—111no—
1060C2×C42—111no—
1061C2×C42—111no—
1062C2×C42—111no—
1063C2×C42—111no—
1064C2×C42—111no—
1065C2×C42—111no—
1066C2×C42—111no—
1067C2×C42—111no—
1068C2×C42—111no—
1069C2×C42—111no—
1070C2×C42—111no—
1071C2×C42—111no—
1072C2×C42—111no—
1073C2×C42—442no—
1074C2×C42—442no—
1075C2×C42C22×D1111yescharacteristic
1076C2×C42C22×D1111yescharacteristic
1077C2×C42C22×D1111yescharacteristic
1078C2×C42C22×D1111yescharacteristic
1079C2×C42C22×D1111yescharacteristic
1080C2×C42C22×D1111yescharacteristic
1081#95—111no—
1082#95—111no—
1083#95—111no—
1084#95—111no—
1085#95—111no—
1086#95—111no—
1087#95—111no—
1088#95—111no—
1089#95—111no—
1090#95—111no—
1091#95—111no—
1092#95—111no—
1093#95—111no—
1094#95—111no—
1095#95—111no—
1096#95—111no—
1097#95—111no—
1098#95—111no—
1099#95—111no—
1100#95—111no—
1101#95—111no—
1102#95—111no—
1103#95—111no—
1104#95—111no—
1105#95—111no—
1106#95—111no—
1107#95—111no—
1108#95—111no—
1109#95—111no—
1110#95—111no—
1111#95—111no—
1112#95—111no—
1113#95—111no—
1114#95—111no—
1115#95C22×D1111yescharacteristic
1116#95C22×D1111yescharacteristic
1117#95C22×D1111yescharacteristic
1118#95C22×D1111yescharacteristic
1119#95C22×D1111yescharacteristic
1120#95C22×D1111yescharacteristic
1121#95C22×D1111yescharacteristic
1122#95C22×D1111yescharacteristic
1123#95C22×D1111yescharacteristic
1124#95C22×D1111yescharacteristic
1125#95C22×D1111yescharacteristic
1126#95C22×D1111yescharacteristic
1127#95C22×D1111yescharacteristic
1128#95C22×D1111yescharacteristic
1129C2×C11—24no—
1130C2×C11C22×C4×Q811yescharacteristic
1131C2×C11C4×H(5,𝔽2)11yescharacteristic
1132C2×C11C4×H(5,𝔽2)11yescharacteristic
1133C2×C11#349011yescharacteristic
1134C2×C11#349111yescharacteristic
1135C2×C11#350111yescharacteristic
1136C2×C11#350111yescharacteristic
1137D11—24no—
1138D11—24no—
1139C24—111no—
1140C24—111no—
1141C24—114no—
1142C24—114no—
1143C24—114no—
1144C24—441no—
1145C24—441no—
1146C24—441no—
1147C24—441no—
1148C24C23×D1111yescharacteristic
1149C2×Q8—41no—
1150C2×Q8—41no—
1151C2×Q8—114no—
1152C2×Q8—114no—
1153C2×Q8—114no—
1154C2×Q8—441no—
1155C2×Q8—441no—
1156C2×Q8—441no—
1157C2×Q8—441no—
1158C2×Q8—441no—
1159C2×Q8—441no—
1160C2×Q8C2×C4×D1114yescomplemented
1161C22×C4—22no—
1162C22×C4—22no—
1163C22×C4—22no—
1164C22×C4—41no—
1165C22×C4—41no—
1166C22×C4—41no—
1167C22×C4—41no—
1168C22×C4—41no—
1169C22×C4—111no—
1170C22×C4—111no—
1171C22×C4—111no—
1172C22×C4—111no—
1173C22×C4—111no—
1174C22×C4—111no—
1175C22×C4—111no—
1176C22×C4—111no—
1177C22×C4—111no—
1178C22×C4—114no—
1179C22×C4—114no—
1180C22×C4—114no—
1181C22×C4—114no—
1182C22×C4—114no—
1183C22×C4—114no—
1184C22×C4—114no—
1185C22×C4—111no—
1186C22×C4—111no—
1187C22×C4—111no—
1188C22×C4—111no—
1189C22×C4—111no—
1190C22×C4—222no—
1191C22×C4—222no—
1192C22×C4—222no—
1193C22×C4—222no—
1194C22×C4—222no—
1195C22×C4—222no—
1196C22×C4—222no—
1197C22×C4—222no—
1198C22×C4—222no—
1199C22×C4—222no—
1200C22×C4—222no—
1201C22×C4—222no—
1202C22×C4—222no—
1203C22×C4—441no—
1204C22×C4—441no—
1205C22×C4—441no—
1206C22×C4—441no—
1207C22×C4—441no—
1208C22×C4—441no—
1209C22×C4—441no—
1210C22×C4—441no—
1211C22×C4—441no—
1212C22×C4—441no—
1213C22×C4—441no—
1214C22×C4—441no—
1215C22×C4—441no—
1216C22×C4—441no—
1217C22×C4—441no—
1218C22×C4—441no—
1219C22×C4—441no—
1220C22×C4—441no—
1221C22×C4—441no—
1222C22×C4—441no—
1223C22×C4—4416no—
1224C22×C4—441no—
1225C22×C4—441no—
1226C22×C4—441no—
1227C22×C4—441no—
1228C22×C4—441no—
1229C22×C4C2×C4×D1114yes—
1230C22×C4C23×D1111yescharacteristic
1231C22×C4C23×D1111yescharacteristic
1232C22×C4C23×D1111yescharacteristic
1233C22×C4C23×D1111yescharacteristic
1234C22×C4C23×D1111yescharacteristic
1235C22×C4C23×D1111yescharacteristic
1236C22×C4C23×D1111yescharacteristic
1237C22×C4C23×D1111yescharacteristic
1238C22×C4C23×D1111yescharacteristic
1239C22×C4C23×D1111yescharacteristic
1240C22×C4C23×D1111yescharacteristic
1241C22×C4C23×D1111yescharacteristic
1242C22×C4C23×D1111yescharacteristic
1243C22×C4C23×D1111yescharacteristic
1244C4⋊C4—22no—
1245C4⋊C4—41no—
1246C4⋊C4—41no—
1247C4⋊C4—41no—
1248C4⋊C4—114no—
1249C4⋊C4—114no—
1250C4⋊C4—114no—
1251C4⋊C4—114no—
1252C4⋊C4—114no—
1253C4⋊C4—114no—
1254C4⋊C4—114no—
1255C4⋊C4—114no—
1256C4⋊C4—114no—
1257C4⋊C4—222no—
1258C4⋊C4—222no—
1259C4⋊C4—222no—
1260C4⋊C4—222no—
1261C4⋊C4—222no—
1262C4⋊C4—222no—
1263C4⋊C4—222no—
1264C4⋊C4—441no—
1265C4⋊C4—441no—
1266C4⋊C4—441no—
1267C4⋊C4—441no—
1268C4⋊C4—441no—
1269C4⋊C4—441no—
1270C4⋊C4—441no—
1271C4⋊C4—441no—
1272C4⋊C4—441no—
1273C4⋊C4—441no—
1274C4⋊C4—441no—
1275C4⋊C4—441no—
1276C4⋊C4—441no—
1277C4⋊C4C2×C4×D1114yescomplemented
1278C4⋊C4C2×C4×D1114yescomplemented
1279C4⋊C4C2×C4×D1114yescomplemented
1280C22⋊C4—22no—
1281C22⋊C4—114no—
1282C22⋊C4—114no—
1283C22⋊C4—114no—
1284C22⋊C4—114no—
1285C22⋊C4—114no—
1286C22⋊C4—114no—
1287C22⋊C4—114no—
1288C22⋊C4—114no—
1289C22⋊C4—114no—
1290C22⋊C4—114no—
1291C22⋊C4—114no—
1292C22⋊C4—114no—
1293C22⋊C4—114no—
1294C22⋊C4—222no—
1295C22⋊C4—222no—
1296C22⋊C4—222no—
1297C22⋊C4—222no—
1298C22⋊C4—222no—
1299C22⋊C4—222no—
1300C22⋊C4—222no—
1301C22⋊C4C2×C4×D1114yes—
1302C22⋊C4C2×C4×D1114yes—
1303C22⋊C4Q8×D1114yes—
1304C42—22no—
1305C42—41no—
1306C42—41no—
1307C42—41no—
1308C42—41no—
1309C42—41no—
1310C42—222no—
1311C42—222no—
1312C42—222no—
1313C42—441no—
1314C42—441no—
1315C42—441no—
1316C42—441no—
1317C42—441no—
1318C42—441no—
1319C42—441no—
1320C42—441no—
1321C42—441no—
1322C42—441no—
1323C42—441no—
1324C42—441no—
1325C42—441no—
1326C42—441no—
1327C42—441no—
1328C11#3427011yescharacteristic, complemented, Sylow
1329C23—21no—
1330C23—21no—
1331C23—21no—
1332C23—21no—
1333C23—112no—
1334C23—112no—
1335C23—112no—
1336C23—112no—
1337C23—112no—
1338C23—112no—
1339C23—1116no—
1340C23—221no—
1341C23—221no—
1342C23—221no—
1343C23—221no—
1344C23—221no—
1345C23—221no—
1346C23—221no—
1347C23—221no—
1348C23—444no—
1349C23—444no—
1350C23—444no—
1351C23—444no—
1352C23—444no—
1353C23—444no—
1354C23C22×C4×D1112yes—
1355C23C2×Q8×D1112yes—
1356C23#41×D1112yes—
1357C23C24×D1111yescharacteristic
1358Q8—44no—
1359Q8—444no—
1360Q8—444no—
1361Q8—444no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—44no—
1396C2×C4—44no—
1397C2×C4—82no—
1398C2×C4—112no—
1399C2×C4—112no—
1400C2×C4—112no—
1401C2×C4—112no—
1402C2×C4—112no—
1403C2×C4—112no—
1404C2×C4—112no—
1405C2×C4—112no—
1406C2×C4—112no—
1407C2×C4—228no—
1408C2×C4—221no—
1409C2×C4—221no—
1410C2×C4—221no—
1411C2×C4—221no—
1412C2×C4—221no—
1413C2×C4—221no—
1414C2×C4—221no—
1415C2×C4—221no—
1416C2×C4—221no—
1417C2×C4—221no—
1418C2×C4—221no—
1419C2×C4—221no—
1420C2×C4—221no—
1421C2×C4—221no—
1422C2×C4—221no—
1423C2×C4—221no—
1424C2×C4—221no—
1425C2×C4—221no—
1426C2×C4—221no—
1427C2×C4—221no—
1428C2×C4—221no—
1429C2×C4—221no—
1430C2×C4—221no—
1431C2×C4—221no—
1432C2×C4—221no—
1433C2×C4—221no—
1434C2×C4—221no—
1435C2×C4—221no—
1436C2×C4—221no—
1437C2×C4—221no—
1438C2×C4—221no—
1439C2×C4—221no—
1440C2×C4—221no—
1441C2×C4—444no—
1442C2×C4—444no—
1443C2×C4—444no—
1444C2×C4—444no—
1445C2×C4—444no—
1446C2×C4—444no—
1447C2×C4—444no—
1448C2×C4—444no—
1449C2×C4—444no—
1450C2×C4—444no—
1451C2×C4—444no—
1452C2×C4—882no—
1453C2×C4—882no—
1454C2×C4—882no—
1455C2×C4C22×C4×D1112yes—
1456C2×C4C22×C4×D1112yes—
1457C2×C4C22×C4×D1112yes—
1458C2×C4C22×C4×D1112yes—
1459C2×C4C22×C4×D1112yes—
1460C2×C4C22×C4×D1112yes—
1461C2×C4C2×Q8×D1112yes—
1462C2×C4C2×Q8×D1112yes—
1463C2×C4#6704212yes—
1464C22—22no—
1465C22—22no—
1466C22—22no—
1467C22—22no—
1468C22—22no—
1469C22—22no—
1470C22—114no—
1471C22—114no—
1472C22—222no—
1473C22—222no—
1474C22—222no—
1475C22—222no—
1476C22—222no—
1477C22—222no—
1478C22—222no—
1479C22—222no—
1480C22—222no—
1481C22—222no—
1482C22—222no—
1483C22—222no—
1484C22—4416no—
1485C22C4×Q8×D1114yes—
1486C22C23×C4×D1111yescharacteristic
1487C22C22×Q8×D1111yescharacteristic
1488C22C2×#41×D1111yescharacteristic
1489C22C2×#6704211yescharacteristic
1490C22#1062345311yescharacteristic
1491C22D11×H(5,𝔽2)11yescharacteristic
1492C22#1062345511yescharacteristic
1493C4—22no—
1494C4—22no—
1495C4—22no—
1496C4—22no—
1497C4—22no—
1498C4—22no—
1499C4—22no—
1500C4—22no—
1501C4—22no—
1502C4—41no—
1503C4—41no—
1504C4—41no—
1505C4—41no—
1506C4—41no—
1507C4—222no—
1508C4—222no—
1509C4—222no—
1510C4—222no—
1511C4—222no—
1512C4—222no—
1513C4—222no—
1514C4—222no—
1515C4—222no—
1516C4—441no—
1517C4—441no—
1518C4—441no—
1519C4—441no—
1520C4—441no—
1521C2—24no—
1522C2—224no—
1523C2—224no—
1524C2C2×C4×Q8×D1111yescharacteristic
1525C2#1308182011yescharacteristic
1526C2C4×#6704211yescharacteristic
1527C2#1308230011yescharacteristic
1528C2#1308230711yescharacteristic
1529C2#1308241311yescharacteristic
1530C2#1308241511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2368C2
socle, cosocleC23×C11C25
prime radicalC24×D11C23
hypercenter#2368D11
hypocenterC11#34270
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2368

Complements

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

NH ≅ G/Ntype
2. #13071700C2semidirect
3. #13071698C2semidirect
4. #13071697C2semidirect
5. #13071696C2semidirect
6. #13071695C2semidirect
7. #13071694C2semidirect
8. #13071693C2semidirect
9. #13071626C2semidirect
10. #13071625C2semidirect
11. #13071624C2semidirect
12. #13071624C2semidirect
13. #13071623C2semidirect
14. #13071622C2semidirect
15. #13071619C2semidirect
16. #13071616C2semidirect
17. #13071348C2semidirect
18. #13071345C2semidirect
19. #13071343C2semidirect
20. #13071343C2semidirect
22. #13071154C2semidirect
23. C4×#66950C2semidirect
24. #13071150C2semidirect
25. C4×#66949C2semidirect
31. C11×#2368C2semidirect
36. C2×Q8×Dic11C22semidirect
42. #10623165C4semidirect
51. C2×#66940C22semidirect
60. C2×C4×Dic22C22semidirect
61. C2×C4×Dic22C22semidirect
62. C11×#391C22semidirect
63. C11×#391C22semidirect
64. C11×#387C22semidirect
65. C11×#387C22semidirect
66. C11×#387C22semidirect
67. C11×#387C22semidirect
70. C4×C11×C4⋊C4C22semidirect
71. C4×C11×C4⋊C4C22semidirect
76. #10622843C22semidirect
89. #10622598C22semidirect
90. #10622598C22semidirect
91. #10622598C22semidirect
92. #10622594C22semidirect
93. #10622594C22semidirect
94. #10622591C22semidirect
95. #10622591C22semidirect
96. C4⋊C4×Dic11C22semidirect
97. C4⋊C4×Dic11C22semidirect
98. #10622587C22semidirect
99. #10622586C22semidirect
100. #10622585C22semidirect
101. #10622585C22semidirect
122. C4×C4⋊Dic11C22semidirect
123. C4×C4⋊Dic11C22semidirect
124. #10622546C22semidirect
125. #10622546C22semidirect
126. C4×Dic11⋊C4C22semidirect
127. C4×Dic11⋊C4C22semidirect
128. #10622542C22semidirect
129. #10622542C22semidirect
130. #10622541C22semidirect
131. #10622541C22semidirect
160. #10622268C22semidirect
161. #10622268C22semidirect
162. #10622268C22semidirect
163. #10622268C22semidirect
164. #10622267C22semidirect
165. #10622267C22semidirect
166. #10622266C22semidirect
167. #10622266C22semidirect
168. #10622266C22semidirect
169. #10622266C22semidirect
170. #10622265C22semidirect
171. #10622265C22semidirect
172. #10622265C22semidirect
173. #10622265C22semidirect
174. #10622262C22semidirect
175. #10622262C22semidirect
176. #10622262C22semidirect
177. #10622262C22semidirect
178. #10622260C22semidirect
179. #10622260C22semidirect
180. #10622260C22semidirect
181. #10622260C22semidirect
182. #10622259C22semidirect
183. #10622259C22semidirect
184. #10622259C22semidirect
185. #10622259C22semidirect
186. #10622259C22semidirect
187. #10622259C22semidirect
214. C11×C22⋊Q8C2×C4semidirect
236. #66999C2×C4semidirect
237. #66999C2×C4semidirect
269. #66977C2×C4semidirect
307. #66950C2×C4semidirect
308. #66950C2×C4semidirect
309. #66949C2×C4semidirect
310. #66949C2×C4semidirect
311. #66949C2×C4semidirect
312. #66949C2×C4semidirect
319. C22⋊C4×D11Q8semidirect
320. #66931C2×C4semidirect
321. #66931C2×C4semidirect
387. C2×Q8×C11C22×C4semidirect
477. C2×Dic22C22×C4semidirect
478. C2×Dic22C22×C4semidirect
479. C2×Dic22C22×C4semidirect
484. C11×C4⋊C4C22×C4semidirect
485. C11×C4⋊C4C22×C4semidirect
486. C11×C4⋊C4C22×C4semidirect
525. C4⋊Dic11C22×C4semidirect
526. C4⋊Dic11C22×C4semidirect
527. C4⋊Dic11C22×C4semidirect
540. Dic11⋊C4C22×C4semidirect
541. Dic11⋊C4C22×C4semidirect
542. Dic11⋊C4C22×C4semidirect
543. Dic11⋊C4C22×C4semidirect
544. Dic11⋊C4C22×C4semidirect
545. Dic11⋊C4C22×C4semidirect
572. #2368D11semidirect
617. C22×D11C4×Q8semidirect
770. #391C2×D11semidirect
771. #391C2×D11semidirect
804. #387C2×D11semidirect
805. #387C2×D11semidirect
806. #387C2×D11semidirect
807. #387C2×D11semidirect
846. C4×C4⋊C4C2×D11semidirect
847. C4×C4⋊C4C2×D11semidirect
980. C22⋊Q8C4×D11semidirect
1160. C2×Q8C2×C4×D11semidirect
1277. C4⋊C4C2×C4×D11semidirect
1278. C4⋊C4C2×C4×D11semidirect
1279. C4⋊C4C2×C4×D11semidirect
1328. C11#34270semidirect

Maximal subgroups

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

subgroupindex
C2×#106231652
#130717002
#130716982
#130716972
#130716962
#130716952
#130716942
#130716932
#130716262
#130716252
#130716242
#130716232
#130716222
#130716192
#130716162
#130713482
#130713452
#130713432
#130712272
#130711542
C4×#669502
#130711502
C4×#669492
C2×#106222812
D11×#3852
#130709682
C4×C22⋊C4×D112
C11×#23682
#3427011