Finite Group Databasebeta

← #14926770

Subgroups — #14926770

Order 2816.

2404 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623176C211yesmaximal, characteristic, complemented
2C2×#10623124C211yesmaximal, characteristic, complemented
3#13076987C211yesmaximal, characteristic, complemented
4#13076982C211yesmaximal, characteristic, complemented
5#13076943C211yesmaximal, characteristic, complemented
6#13076912C211yesmaximal, characteristic, complemented
7#13074784C211yesmaximal, characteristic, complemented
8#13074772C211yesmaximal, characteristic, complemented
9#13074761C211yesmaximal, characteristic, complemented
10#13074751C211yesmaximal, characteristic, complemented
11#13073763C211yesmaximal, characteristic, complemented
12#13073746C211yesmaximal, characteristic, complemented
13#13073731C211yesmaximal, characteristic, complemented
14#13073718C211yesmaximal, characteristic, complemented
15#13073624C211yesmaximal, characteristic, complemented
16#13073580C211yesmaximal, characteristic, complemented
17#13073544C211yesmaximal, characteristic, complemented
18#13073509C211yesmaximal, characteristic, complemented
19#13073317C211yesmaximal, characteristic, complemented
20#13073293C211yesmaximal, characteristic, complemented
21#13072936C211yesmaximal, characteristic, complemented
22#13072628C211yesmaximal, characteristic, complemented
23#13072579C211yesmaximal, characteristic, complemented
24#13072169C211yesmaximal, characteristic, complemented
25#13072152C211yesmaximal, characteristic, complemented
26#13071290C211yesmaximal, characteristic, complemented
27#13071271C211yesmaximal, characteristic, complemented
28#13071126C211yesmaximal, characteristic, complemented
29C2×#10622557C211yesmaximal, characteristic, complemented
30C4×(C22⋊D11)⋊C4C211yesmaximal, characteristic, complemented
31C11×#2472C211yesmaximal, characteristic, complemented
32C2×C11×#124C2211yescharacteristic
33C2×C11×C22⋊Q8C2211yescharacteristic
34C2×C11×#120C2211yescharacteristic
35C22×C11×C22⋊C4C2211yescharacteristic
36C2×#67006C2211yescharacteristic
37C2×#67006C2211yescharacteristic
38C22×C22⋊Dic11C2211yescharacteristic
39C22×C22⋊Dic11C2211yescharacteristic
40C2×#66999C2211yescharacteristic, complemented
41C2×#66999C2211yescharacteristic, complemented
42C2×#66992C2211yescharacteristic
43C2×#66992C2211yescharacteristic
44C2×#66992C2211yescharacteristic
45C2×#66991C2211yescharacteristic
46C2×#66989C2211yescharacteristic
47C2×#66988C2211yescharacteristic
48C2×#66988C2211yescharacteristic
49C2×D4×Dic11C2211yescharacteristic
50C2×#66983C2211yescharacteristic
51C2×C4×C22⋊D11C2211yescharacteristic
52C22×Dic11⋊C4C2211yescharacteristic
53C22×C4×Dic11C2211yescharacteristic
54#10623176—28no—
55#10623124—28no—
56C2×#66951C2211yescharacteristic, complemented
57C2×#66951C2211yescharacteristic, complemented
58C2×#66947C2211yescharacteristic, complemented
59C2×#66947C2211yescharacteristic, complemented
60C2×#66943C2211yescharacteristic, complemented
61C2×#66943C2211yescharacteristic, complemented
62C2×#66939C2211yescharacteristic
63C2×#66939C2211yescharacteristic
64C2×#66938C2211yescharacteristic
65C2×#66937C2211yescharacteristic
66C2×#66936C2211yescharacteristic
67C2×(C22⋊D11)⋊C4C2211yescharacteristic
68C2×(C22⋊D11)⋊C4C2211yescharacteristic
69C2×(C22⋊D11)⋊C4C2211yescharacteristic
70C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
71C2×#66932C2211yescharacteristic
72C2×#66932C2211yescharacteristic
73C2×#66931C2211yescharacteristic
74C2×C42×D11C2211yescharacteristic, complemented
75C11×#397C2211yescharacteristic
76C11×#394C2211yescharacteristic
77C11×#394C2211yescharacteristic
78C11×#393C2211yescharacteristic
79C11×#390C2211yescharacteristic
80C11×#388C2211yescharacteristic
81C11×#388C2211yescharacteristic
82C11×#386C2211yescharacteristic
83C11×#386C2211yescharacteristic
84C11×#379C2211yescharacteristic
85C4×C11×C22⋊C4C2211yescharacteristic
86#10622843C2211yescharacteristic, complemented
87#10622842C2211yescharacteristic, complemented
88#10622836C2211yescharacteristic
89#10622836C2211yescharacteristic
90#10622834C2211yescharacteristic
91#10622834C2211yescharacteristic
92#10622826C2211yescharacteristic
93#10622823C2211yescharacteristic
94C2×C11⋊#95C2211yescharacteristic
95C2×C11⋊#95C2211yescharacteristic
96#10622596C2211yescharacteristic, complemented
97#10622593C2211yescharacteristic, complemented
98#10622592C2211yescharacteristic, complemented
99#10622587C2211yescharacteristic, complemented
100#10622585C2211yescharacteristic, complemented
101#10622585C2211yescharacteristic, complemented
102#10622573C2211yescharacteristic
103#10622573C2211yescharacteristic, complemented
104#10622572C2211yescharacteristic
105#10622572C2211yescharacteristic
106#10622572C2211yescharacteristic
107#10622572C2211yescharacteristic
108#10622572C2211yescharacteristic, complemented
109#10622572C2211yescharacteristic, complemented
110#10622571C2211yescharacteristic
111#10622570C2211yescharacteristic
112#10622570C2211yescharacteristic
113#10622570C2211yescharacteristic
114#10622570C2211yescharacteristic
115#10622570C2211yescharacteristic
116#10622570C2211yescharacteristic, complemented
117#10622569C2211yescharacteristic
118#10622569C2211yescharacteristic
119#10622569C2211yescharacteristic
120#10622569C2211yescharacteristic
121#10622569C2211yescharacteristic
122#10622569C2211yescharacteristic, complemented
123#10622569C2211yescharacteristic, complemented
124#10622564C2211yescharacteristic
125#10622564C2211yescharacteristic
126#10622564C2211yescharacteristic
127#10622564C2211yescharacteristic, complemented
128#10622564C2211yescharacteristic, complemented
129#10622562C2211yescharacteristic
130#10622562C2211yescharacteristic
131#10622561C2211yescharacteristic
132#10622561C2211yescharacteristic
133#10622561C2211yescharacteristic
134#10622561C2211yescharacteristic, complemented
135#10622559C2211yescharacteristic
136#10622559C2211yescharacteristic, complemented
137#10622559C2211yescharacteristic, complemented
138#10622558C2211yescharacteristic
139#10622558C2211yescharacteristic
140#10622557C2211yescharacteristic
141#10622557C2211yescharacteristic
142#10622557C2211yescharacteristic
143#10622557C2211yescharacteristic
144#10622557C2211yescharacteristic
145#10622557C2211yescharacteristic
146#10622557C2211yescharacteristic
147#10622557C2211yescharacteristic
148#10622557C2211yescharacteristic
149#10622557C2211yescharacteristic
150#10622557C2211yescharacteristic, complemented
151#10622557C2211yescharacteristic, complemented
152#10622557C2211yescharacteristic, complemented
153#10622556C2211yescharacteristic
154#10622555C2211yescharacteristic
155C22⋊C4×Dic11C2211yescharacteristic
156C22⋊C4×Dic11C2211yescharacteristic
157C22⋊C4×Dic11C2211yescharacteristic, complemented
158#10622553C2211yescharacteristic, complemented
159#10622553C2211yescharacteristic, complemented
160C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
161#10622549C2211yescharacteristic, complemented
162C4×Dic11⋊C4C2211yescharacteristic, complemented
163C42×Dic11C2211yescharacteristic, complemented
164#10622542C2211yescharacteristic, complemented
165#10622288C2211yescharacteristic, complemented
166#10622288C2211yescharacteristic, complemented
167#10622287C2211yescharacteristic, complemented
168#10622286C2211yescharacteristic, complemented
169#10622283C2211yescharacteristic, complemented
170#10622282C2211yescharacteristic, complemented
171#10622280C2211yescharacteristic, complemented
172#10622279C2211yescharacteristic, complemented
173#10622279C2211yescharacteristic, complemented
174#10622279C2211yescharacteristic, complemented
175#10622278C2211yescharacteristic, complemented
176#10622272C2211yescharacteristic, complemented
177#10622272C2211yescharacteristic, complemented
178#10622270C2211yescharacteristic, complemented
179#10622270C2211yescharacteristic, complemented
180#10622265C2211yescharacteristic, complemented
181#10622265C2211yescharacteristic, complemented
182#10622262C2211yescharacteristic, complemented
183#10622262C2211yescharacteristic, complemented
184#10622262C2211yescharacteristic, complemented
185#10622260C2211yescharacteristic, complemented
186#10622260C2211yescharacteristic, complemented
187#10622260C2211yescharacteristic, complemented
188#10622260C2211yescharacteristic, complemented
189C25×C11C2311yescharacteristic
190C22×Q8×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C23×C4×C11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C22×C22⋊D11C2311yescharacteristic
202C22×C22⋊D11C2311yescharacteristic
203C22×C22⋊D11C2311yescharacteristic
204C23×Dic11C2311yescharacteristic
205C23×Dic11C2311yescharacteristic
206C23×Dic11C2311yescharacteristic
207C23×Dic11C2311yescharacteristic
208C23×Dic11C2311yescharacteristic
209C22×D44C2311yescharacteristic
210C22×C4×D11C2311yescharacteristic
211C22×C4×D11C2311yescharacteristic
212C22×C4×D11C2311yescharacteristic
213C22×C4×D11C2311yescharacteristic
214C22×Dic22C2311yescharacteristic
215C11×#124—42no—
216C11×C22⋊Q8—24no—
217C11×#120—24no—
218C2×C11×C4⋊C4C2311yescharacteristic
219C2×C11×C4⋊C4C2311yescharacteristic
220C2×C11×C4⋊C4C2311yescharacteristic
221C2×C11×C22⋊C4—42no—
222C2×C11×C22⋊C4C2311yescharacteristic
223C2×C11×C22⋊C4C2311yescharacteristic
224C2×C11×C22⋊C4C2311yescharacteristic
225C2×C11×C22⋊C4C2311yescharacteristic
226C2×C11×C22⋊C4C2311yescharacteristic
227C2×C11×C22⋊C4C2311yescharacteristic
228C2×C11×C22⋊C4C2311yescharacteristic
229C2×C11×C22⋊C4C2311yescharacteristic
230C2×C11×C22⋊C4C2311yescharacteristic
231C2×C11×C22⋊C4C2311yescharacteristic
232C2×C11×C22⋊C4C2311yescharacteristic
233C2×C11×C22⋊C4C2311yescharacteristic
234C2×C11×C22⋊C4C2311yescharacteristic
235C2×C11×C22⋊C4C2311yescharacteristic
236C2×C11×C22⋊C4C2311yescharacteristic
237C2×C11×C22⋊C4C2311yescharacteristic
238C2×C11×C22⋊C4C2311yescharacteristic
239C2×C42×C11C2311yescharacteristic
240C2×C42×C11C2311yescharacteristic
241#67006—24no—
242#67006—24no—
243C2×C22⋊Dic11—24no—
244C2×C22⋊Dic11—24no—
245C2×C22⋊Dic11C2311yescharacteristic
246C2×C22⋊Dic11C2311yescharacteristic
247C2×C22⋊Dic11C2311yescharacteristic
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
263C2×C22⋊Dic11C2311yescharacteristic
264#66999—24no—
265#66999—24no—
266#66992—24no—
267#66992—24no—
268#66992—24no—
269#66991—24no—
270#66989—24no—
271#66988—24no—
272#66988—24no—
273D4×Dic11—24no—
274#66983—24no—
275C4×C22⋊D11—24no—
276C2×(C2×D11)⋊C4C2311yescharacteristic
277C2×(C2×D11)⋊C4C2311yescharacteristic
278C2×(C2×D11)⋊C4C2311yescharacteristic
279C2×(C2×D11)⋊C4C2311yescharacteristic
280C2×(C2×D11)⋊C4C2311yescharacteristic
281C2×(C2×D11)⋊C4C2311yescharacteristic
282C2×(C2×D11)⋊C4C2311yescharacteristic
283C2×(C2×D11)⋊C4C2311yescharacteristic
284C2×(C2×D11)⋊C4C2311yescharacteristic
285C2×(C2×D11)⋊C4C2311yescharacteristic
286C2×(C2×D11)⋊C4C2311yescharacteristic
287C2×(C2×D11)⋊C4C2311yescharacteristic
288C2×(C2×D11)⋊C4C2311yescharacteristic
289C2×(C2×D11)⋊C4C2311yescharacteristic
290C2×(C2×D11)⋊C4C2311yescharacteristic
291C2×(C2×D11)⋊C4C2311yescharacteristic
292C2×C4⋊Dic11C2311yescharacteristic
293C2×C4⋊Dic11C2311yescharacteristic
294C2×C4⋊Dic11C2311yescharacteristic
295C2×C4⋊Dic11C2311yescharacteristic
296C2×C4⋊Dic11C2311yescharacteristic
297C2×C4⋊Dic11C2311yescharacteristic
298C2×C4⋊Dic11C2311yescharacteristic
299C2×Dic11⋊C4—24no—
300C2×Dic11⋊C4C2311yescharacteristic
301C2×Dic11⋊C4C2311yescharacteristic
302C2×Dic11⋊C4C2311yescharacteristic
303C2×Dic11⋊C4C2311yescharacteristic
304C2×Dic11⋊C4C2311yescharacteristic
305C2×Dic11⋊C4C2311yescharacteristic
306C2×Dic11⋊C4C2311yescharacteristic
307C2×Dic11⋊C4C2311yescharacteristic
308C2×Dic11⋊C4C2311yescharacteristic
309C2×Dic11⋊C4C2311yescharacteristic
310C2×Dic11⋊C4C2311yescharacteristic
311C2×Dic11⋊C4C2311yescharacteristic
312C2×Dic11⋊C4C2311yescharacteristic
313C2×Dic11⋊C4C2311yescharacteristic
314C2×Dic11⋊C4C2311yescharacteristic
315C2×Dic11⋊C4C2311yescharacteristic
316C2×Dic11⋊C4C2311yescharacteristic
317C2×Dic11⋊C4C2311yescharacteristic
318C2×Dic11⋊C4C2311yescharacteristic
319C2×Dic11⋊C4C2311yescharacteristic
320C2×C4×Dic11—42no—
321C2×C4×Dic11C2311yescharacteristic
322C2×C4×Dic11C2311yescharacteristic
323C2×C4×Dic11C2311yescharacteristic
324C2×C4×Dic11C2311yescharacteristic
325C2×C4×Dic11C2311yescharacteristic
326C2×C4×Dic11C2311yescharacteristic
327C2×C4×Dic11C2311yescharacteristic
328C2×C4×Dic11C2311yescharacteristic
329C2×C4×Dic11C2311yescharacteristic
330C2×C4×Dic11C2311yescharacteristic
331C2×C4×Dic11C2311yescharacteristic
332C2×C4×Dic11C2311yescharacteristic
333C2×C4×Dic11C2311yescharacteristic
334#66951—24no—
335#66951—24no—
336#66947—24no—
337#66947—24no—
338#66943—24no—
339#66943—24no—
340#66939—24no—
341#66939—24no—
342#66938—24no—
343#66937—42no—
344#66936—24no—
345(C22⋊D11)⋊C4—24no—
346(C22⋊D11)⋊C4—24no—
347(C22⋊D11)⋊C4—42no—
348(C22⋊D11)⋊C4D418yescomplemented
349#66932—24no—
350#66932—24no—
351#66931—24no—
352C42×D11—42no—
353C11×#95C2311yescharacteristic
354C11×#95C2311yescharacteristic
355C11×#95C2311yescharacteristic
356C11×#95C2311yescharacteristic
357C11×#95C2311yescharacteristic
358C11×#95C2311yescharacteristic
359C11⋊#95C2311yescharacteristic
360C11⋊#95C2311yescharacteristic
361C11⋊#95C2311yescharacteristic
362C11⋊#95C2311yescharacteristic
363C11⋊#95C2311yescharacteristic
364C11⋊#95C2311yescharacteristic
365C11⋊#95C2311yescharacteristic
366C11⋊#95C2311yescharacteristic
367C11⋊#95C2311yescharacteristic
368C11⋊#95C2311yescharacteristic
369C11⋊#95C2311yescharacteristic
370C11⋊#95C2311yescharacteristic
371C11⋊#95C2311yescharacteristic
372C11⋊#95C2311yescharacteristic
373C11⋊#95C2311yescharacteristic
374C11⋊#95C2311yescharacteristic
375C11⋊#95C2311yescharacteristic
376C11⋊#95C2311yescharacteristic
377C11⋊#95C2311yescharacteristic
378C11⋊#95C2311yescharacteristic
379C11⋊#95C2311yescharacteristic
380C11⋊#95C2311yescharacteristic
381C11⋊#95C2311yescharacteristic
382C11⋊#95C2311yescharacteristic
383C11⋊#95C2311yescharacteristic
384C11⋊#95C2311yescharacteristic
385#35009—111nomaximal, Sylow
386C24×C11—22no—
387C24×C11—22no—
388C24×C11—22no—
389C24×C11—41no—
390C24×C11—41no—
391C24×C11—41no—
392C24×C11—41no—
393C24×C11C2411yescharacteristic
394C24×C11C2411yescharacteristic
395C24×C11C2411yescharacteristic
396C24×C11C2411yescharacteristic
397C23×D11C2411yescharacteristic
398C23×D11C2411yescharacteristic
399C2×Q8×C11—22no—
400C2×Q8×C11—41no—
401C2×Q8×C11—41no—
402C2×D4×C11—22no—
403C2×D4×C11—22no—
404C2×D4×C11—22no—
405C2×D4×C11—22no—
406C2×D4×C11—22no—
407C2×D4×C11—41no—
408C2×D4×C11—41no—
409C2×D4×C11—41no—
410C2×D4×C11—41no—
411C22×C4×C11—22no—
412C22×C4×C11—22no—
413C22×C4×C11—22no—
414C22×C4×C11—41no—
415C22×C4×C11—41no—
416C22×C4×C11—41no—
417C22×C4×C11C2411yescharacteristic
418C22×C4×C11C2411yescharacteristic
419C22×C4×C11C2411yescharacteristic
420C22×C4×C11C2411yescharacteristic
421C22×C4×C11C2411yescharacteristic
422C22×C4×C11C2411yescharacteristic
423C22×C4×C11C2411yescharacteristic
424C22×C4×C11C2411yescharacteristic
425C22×C4×C11C2411yescharacteristic
426C22×C4×C11C2411yescharacteristic
427C22×C4×C11C2411yescharacteristic
428C2×C22⋊D11—22no—
429C2×C22⋊D11—22no—
430C2×C22⋊D11—22no—
431C2×C22⋊D11—22no—
432C2×C22⋊D11—22no—
433C2×C22⋊D11—22no—
434C2×C22⋊D11—22no—
435C2×C22⋊D11—22no—
436C2×C22⋊D11—22no—
437C2×C22⋊D11—22no—
438C2×C22⋊D11—22no—
439C2×C22⋊D11—41no—
440C2×C22⋊D11—41no—
441C2×C22⋊D11—41no—
442C2×C22⋊D11—41no—
443C2×C22⋊D11—41no—
444C2×C22⋊D11—41no—
445C2×C22⋊D11—41no—
446C2×C22⋊D11—41no—
447C2×C22⋊D11—41no—
448C2×C22⋊D11—41no—
449C2×C22⋊D11—41no—
450C2×C22⋊D11—41no—
451C2×C22⋊D11C2×D414yes—
452C22×Dic11—22no—
453C22×Dic11—22no—
454C22×Dic11—22no—
455C22×Dic11—22no—
456C22×Dic11—22no—
457C22×Dic11—41no—
458C22×Dic11—41no—
459C22×Dic11—41no—
460C22×Dic11—41no—
461C22×Dic11—41no—
462C22×Dic11—41no—
463C22×Dic11—41no—
464C22×Dic11—41no—
465C22×Dic11C2×D414yes—
466C22×Dic11#4114yes—
467C22×Dic11C2411yescharacteristic
468C22×Dic11C2411yescharacteristic
469C22×Dic11C2411yescharacteristic
470C22×Dic11C2411yescharacteristic
471C22×Dic11C2411yescharacteristic
472C22×Dic11C2411yescharacteristic
473C22×Dic11C2411yescharacteristic
474C22×Dic11C2411yescharacteristic
475C22×Dic11C2411yescharacteristic
476C22×Dic11C2411yescharacteristic
477C22×Dic11C2411yescharacteristic
478C22×Dic11C2411yescharacteristic
479C22×Dic11C2411yescharacteristic
480C22×Dic11C2411yescharacteristic
481C2×D44—22no—
482C2×D44—41no—
483C2×D44—41no—
484C2×C4×D11—22no—
485C2×C4×D11—22no—
486C2×C4×D11—22no—
487C2×C4×D11—22no—
488C2×C4×D11—41no—
489C2×C4×D11—41no—
490C2×C4×D11—41no—
491C2×C4×D11—41no—
492C2×C4×D11—41no—
493C2×C4×D11—41no—
494C2×C4×D11—41no—
495C2×C4×D11C2×D414yes—
496C2×Dic22—22no—
497C2×Dic22—41no—
498C2×Dic22—41no—
499C11×C4⋊C4—22no—
500C11×C4⋊C4—22no—
501C11×C4⋊C4—22no—
502C11×C22⋊C4—22no—
503C11×C22⋊C4—22no—
504C11×C22⋊C4—22no—
505C11×C22⋊C4—22no—
506C11×C22⋊C4—22no—
507C11×C22⋊C4—22no—
508C11×C22⋊C4—22no—
509C11×C22⋊C4—41no—
510C11×C22⋊C4—41no—
511C11×C22⋊C4—41no—
512C11×C22⋊C4—41no—
513C11×C22⋊C4—41no—
514C11×C22⋊C4—41no—
515C11×C22⋊C4—41no—
516C11×C22⋊C4—41no—
517C11×C22⋊C4—41no—
518C11×C22⋊C4C2×D414yes—
519C42×C11—22no—
520C42×C11—41no—
521C22⋊Dic11—22no—
522C22⋊Dic11—22no—
523C22⋊Dic11—22no—
524C22⋊Dic11—22no—
525C22⋊Dic11—22no—
526C22⋊Dic11—22no—
527C22⋊Dic11—22no—
528C22⋊Dic11—22no—
529C22⋊Dic11—22no—
530C22⋊Dic11—22no—
531C22⋊Dic11—22no—
532C22⋊Dic11—22no—
533C22⋊Dic11—22no—
534C22⋊Dic11—22no—
535C22⋊Dic11—22no—
536C22⋊Dic11—22no—
537C22⋊Dic11—22no—
538C22⋊Dic11—22no—
539C22⋊Dic11#4114yes—
540(C2×D11)⋊C4—22no—
541(C2×D11)⋊C4—22no—
542(C2×D11)⋊C4—22no—
543(C2×D11)⋊C4—22no—
544(C2×D11)⋊C4—22no—
545(C2×D11)⋊C4—22no—
546(C2×D11)⋊C4—22no—
547(C2×D11)⋊C4—22no—
548(C2×D11)⋊C4—22no—
549(C2×D11)⋊C4—22no—
550(C2×D11)⋊C4—22no—
551(C2×D11)⋊C4—22no—
552(C2×D11)⋊C4—41no—
553(C2×D11)⋊C4—41no—
554(C2×D11)⋊C4—41no—
555(C2×D11)⋊C4C2×D414yes—
556C4⋊Dic11—22no—
557C4⋊Dic11—22no—
558C4⋊Dic11—22no—
559C4⋊Dic11—22no—
560C4⋊Dic11—22no—
561C4⋊Dic11—22no—
562C4⋊Dic11—22no—
563Dic11⋊C4—22no—
564Dic11⋊C4—22no—
565Dic11⋊C4—22no—
566Dic11⋊C4—22no—
567Dic11⋊C4—22no—
568Dic11⋊C4—22no—
569Dic11⋊C4—22no—
570Dic11⋊C4—22no—
571Dic11⋊C4—22no—
572Dic11⋊C4—22no—
573Dic11⋊C4—22no—
574Dic11⋊C4—22no—
575Dic11⋊C4—22no—
576Dic11⋊C4—41no—
577Dic11⋊C4—41no—
578Dic11⋊C4—41no—
579Dic11⋊C4—41no—
580Dic11⋊C4—41no—
581Dic11⋊C4—41no—
582Dic11⋊C4C2×D414yes—
583C4×Dic11—22no—
584C4×Dic11—22no—
585C4×Dic11—22no—
586C4×Dic11—22no—
587C4×Dic11—22no—
588C4×Dic11—22no—
589C4×Dic11—41no—
590C4×Dic11—41no—
591C4×Dic11—41no—
592C4×Dic11—41no—
593C4×Dic11—41no—
594C4×Dic11—41no—
595C4×Dic11C2×D414yes—
596C2×#539—111no—
597C2×#538—111no—
598#2861—111no—
599#2860—111no—
600#2854—111no—
601#2850—111no—
602#2664—111no—
603#2663—111no—
604#2662—111no—
605#2661—111no—
606#2560—111no—
607#2559—111no—
608#2558—111no—
609#2557—111no—
610#2549—111no—
611#2543—111no—
612#2539—111no—
613#2534—111no—
614#2521—111no—
615#2519—111no—
616#2488—111no—
617#2472D1111yescharacteristic, complemented
618#2464—111no—
619#2461—111no—
620#2425—111no—
621#2424—111no—
622#2322—111no—
623#2321—111no—
624C4×#121—111no—
625C2×#388—111no—
626C42×D4—111no—
627C23×C11—21no—
628C23×C11—21no—
629C23×C11—21no—
630C23×C11—21no—
631C23×C11—21no—
632C23×C11—21no—
633C23×C11—21no—
634C23×C11—21no—
635C23×C11—21no—
636C23×C11—21no—
637C23×C11—21no—
638C23×C11—21no—
639C23×C11—21no—
640C23×C11—21no—
641C23×C11—21no—
642C23×C11—21no—
643C23×C11—21no—
644C23×C11—21no—
645C23×C11—21no—
646C23×C11—21no—
647C23×C11—21no—
648C23×C11—21no—
649C23×C11—21no—
650C23×C11—21no—
651C23×C11—21no—
652C23×C11—44no—
653C23×C11—44no—
654C23×C11—44no—
655C23×C11—82no—
656C23×C11—82no—
657C23×C11—82no—
658C23×C11—82no—
659C23×C11C22×D412yes—
660C23×C11C2×#4112yes—
661C23×C11C2×#4112yes—
662C23×C11C2511yescharacteristic
663C22×D11—21no—
664C22×D11—21no—
665C22×D11—21no—
666C22×D11—21no—
667C22×D11—21no—
668C22×D11—21no—
669C22×D11—21no—
670C22×D11—21no—
671C22×D11—21no—
672C22×D11—21no—
673C22×D11—21no—
674C22×D11—21no—
675C22×D11—21no—
676C22×D11C22×D412yes—
677Q8×C11—82no—
678D4×C11—44no—
679D4×C11—82no—
680D4×C11—82no—
681C2×C4×C11—21no—
682C2×C4×C11—21no—
683C2×C4×C11—21no—
684C2×C4×C11—21no—
685C2×C4×C11—21no—
686C2×C4×C11—21no—
687C2×C4×C11—21no—
688C2×C4×C11—21no—
689C2×C4×C11—21no—
690C2×C4×C11—21no—
691C2×C4×C11—21no—
692C2×C4×C11—21no—
693C2×C4×C11—21no—
694C2×C4×C11—21no—
695C2×C4×C11—21no—
696C2×C4×C11—21no—
697C2×C4×C11—21no—
698C2×C4×C11—21no—
699C2×C4×C11—21no—
700C2×C4×C11—21no—
701C2×C4×C11—21no—
702C2×C4×C11—21no—
703C2×C4×C11—21no—
704C2×C4×C11—21no—
705C2×C4×C11—21no—
706C2×C4×C11—21no—
707C2×C4×C11—21no—
708C2×C4×C11—21no—
709C2×C4×C11—21no—
710C2×C4×C11—21no—
711C2×C4×C11—44no—
712C2×C4×C11—82no—
713C2×C4×C11C22×D412yes—
714C2×C4×C11C22×D412yes—
715C2×C4×C11H(5,𝔽2)12yes—
716C22⋊D11—28no—
717C22⋊D11—44no—
718C22⋊D11—44no—
719C22⋊D11—82no—
720C22⋊D11—82no—
721C22⋊D11—82no—
722C22⋊D11—82no—
723C22⋊D11—82no—
724C2×Dic11—21no—
725C2×Dic11—21no—
726C2×Dic11—21no—
727C2×Dic11—21no—
728C2×Dic11—21no—
729C2×Dic11—21no—
730C2×Dic11—21no—
731C2×Dic11—21no—
732C2×Dic11—21no—
733C2×Dic11—21no—
734C2×Dic11—21no—
735C2×Dic11—21no—
736C2×Dic11—21no—
737C2×Dic11—21no—
738C2×Dic11—21no—
739C2×Dic11—21no—
740C2×Dic11—21no—
741C2×Dic11—21no—
742C2×Dic11—21no—
743C2×Dic11—21no—
744C2×Dic11—21no—
745C2×Dic11—21no—
746C2×Dic11—21no—
747C2×Dic11—21no—
748C2×Dic11—21no—
749C2×Dic11—21no—
750C2×Dic11—21no—
751C2×Dic11—21no—
752C2×Dic11—21no—
753C2×Dic11—21no—
754C2×Dic11—21no—
755C2×Dic11—21no—
756C2×Dic11—21no—
757C2×Dic11—21no—
758C2×Dic11—21no—
759C2×Dic11—44no—
760C2×Dic11—44no—
761C2×Dic11—44no—
762C2×Dic11—82no—
763C2×Dic11—82no—
764C2×Dic11C22×D412yes—
765C2×Dic11C22×D412yes—
766C2×Dic11C22×D412yes—
767C2×Dic11C2×#4112yes—
768C2×Dic11C2×#4112yes—
769C2×Dic11C2×#4112yes—
770C2×Dic11C2×#4112yes—
771D44—82no—
772C4×D11—44no—
773C4×D11—44no—
774C4×D11—44no—
775C4×D11—82no—
776Dic22—82no—
777#539—228no—
778#538—228no—
779C2×#126—111no—
780C2×#126—111no—
781C2×#126—111no—
782C2×#126—111no—
783C2×#125—111no—
784C2×#125—111no—
785C2×#124—111no—
786C2×#124—111no—
787C2×#124C2×D1111yescharacteristic
788C2×#123—111no—
789C2×#123—111no—
790C2×#123—111no—
791C2×#123—111no—
792C2×#123—111no—
793C2×#123—111no—
794C2×#123—111no—
795C2×C22⋊Q8—111no—
796C2×C22⋊Q8—111no—
797C2×C22⋊Q8—111no—
798C2×C22⋊Q8C2×D1111yescharacteristic
799C2×#121—111no—
800C2×#121—111no—
801C2×#121—111no—
802C2×#121—111no—
803C2×#121—111no—
804C2×#121—111no—
805C2×#120—111no—
806C2×#120—111no—
807C2×#120C2×D1111yescharacteristic
808C2×C4×D4—111no—
809C2×C4×D4—111no—
810C2×C4×D4—111no—
811C2×C4×D4—111no—
812C2×C4×D4—111no—
813C2×C4×D4—111no—
814C22×C4⋊C4—111no—
815C22×C22⋊C4—111no—
816C22×C22⋊C4—111no—
817C22×C22⋊C4C2×D1111yescharacteristic
818C22×C42—111no—
819C22×C42—111no—
820#400—111no—
821#400—111no—
822#399—111no—
823#399—111no—
824#398—111no—
825#398—111no—
826#398—111no—
827#398—111no—
828#397—111no—
829#397—111no—
830#397—111no—
831#397C2×D1111yescharacteristic
832#396—111no—
833#396—111no—
834#396—111no—
835#396—111no—
836#395—111no—
837#395—111no—
838#394—111no—
839#394—111no—
840#394—111no—
841#394—111no—
842#394—111no—
843#394—111no—
844#394C2×D1111yescharacteristic
845#394C2×D1111yescharacteristic
846#393—111no—
847#393C2×D1111yescharacteristic
848#392—111no—
849#392—111no—
850#392—111no—
851#392—111no—
852#391—111no—
853#391—111no—
854#391—111no—
855#390—111no—
856#390—111no—
857#390—111no—
858#390—111no—
859#390—111no—
860#390—111no—
861#390—111no—
862#390—111no—
863#390C2×D1111yescharacteristic
864#389—111no—
865#389—111no—
866#389—111no—
867#389—111no—
868#389—111no—
869#389—111no—
870#388—111no—
871#388—111no—
872#388—111no—
873#388—111no—
874#388—111no—
875#388—111no—
876#388—111no—
877#388—111no—
878#388—111no—
879#388—111no—
880#388—111no—
881#388—111no—
882#388—111no—
883#388—111no—
884#388—111no—
885#388—111no—
886#388—111no—
887#388—111no—
888#388—111no—
889#388—111no—
890#388—111no—
891#388—111no—
892#388—111no—
893#388—111no—
894#388C2×D1111yescharacteristic
895#388C2×D1111yescharacteristic
896#387—111no—
897#387—111no—
898#386—111no—
899#386—111no—
900#386—111no—
901#386—111no—
902#386—111no—
903#386—111no—
904#386—111no—
905#386—111no—
906#386—111no—
907#386—111no—
908#386C2×D1111yescharacteristic
909#386C2×D1111yescharacteristic
910#385—111no—
911#385—111no—
912#385—111no—
913#385—111no—
914#382—111no—
915#381—111no—
916#380—111no—
917#380—111no—
918#379C2×D1111yescharacteristic
919C4×C4⋊C4—111no—
920C4×C4⋊C4—111no—
921C4×C4⋊C4—111no—
922C4×C4⋊C4—111no—
923C4×C22⋊C4—111no—
924C4×C22⋊C4—111no—
925C4×C22⋊C4—111no—
926C4×C22⋊C4—111no—
927C4×C22⋊C4—111no—
928C4×C22⋊C4—111no—
929C4×C22⋊C4—111no—
930C4×C22⋊C4C2×D1111yescharacteristic
931C2×#95—111no—
932C2×#95—111no—
933C43—111no—
934C22×C11—22no—
935C22×C11—22no—
936C22×C11—22no—
937C22×C11—22no—
938C22×C11—22no—
939C22×C11—22no—
940C22×C11—41no—
941C22×C11—41no—
942C22×C11—41no—
943C22×C11—41no—
944C22×C11—41no—
945C22×C11—41no—
946C22×C11—41no—
947C22×C11—41no—
948C22×C11—41no—
949C22×C11—41no—
950C22×C11—41no—
951C22×C11—41no—
952C22×C11—41no—
953C22×C11—41no—
954C22×C11—41no—
955C22×C11—41no—
956C22×C11—41no—
957C22×C11—41no—
958C22×C11—41no—
959C22×C11—41no—
960C22×C11—41no—
961C22×C11—88no—
962C22×C11#53214yes—
963C22×C11C23×D411yescharacteristic
964C22×C11C22×#4111yescharacteristic
965C22×C11C22×#4111yescharacteristic
966C22×C11C2×H(5,𝔽2)11yescharacteristic
967C22×C11#58511yescharacteristic
968C22×C11#58511yescharacteristic
969C22×C11#58511yescharacteristic
970C2×D11—22no—
971C2×D11—22no—
972C2×D11—22no—
973C2×D11—41no—
974C2×D11—41no—
975C2×D11—41no—
976C2×D11—41no—
977C2×D11—41no—
978C2×D11—41no—
979C2×D11—41no—
980C2×D11—41no—
981C2×D11—41no—
982C2×D11—41no—
983C2×D11—41no—
984C4×C11—22no—
985C4×C11—22no—
986C4×C11—22no—
987C4×C11—41no—
988C4×C11—41no—
989C4×C11—41no—
990C4×C11—41no—
991C4×C11—41no—
992C4×C11—41no—
993C4×C11—41no—
994C4×C11—41no—
995Dic11—22no—
996Dic11—22no—
997Dic11—22no—
998Dic11—22no—
999Dic11—22no—
1000Dic11—22no—
1001Dic11—22no—
1002Dic11—41no—
1003Dic11—41no—
1004Dic11—41no—
1005Dic11—41no—
1006Dic11—41no—
1007Dic11—41no—
1008Dic11—41no—
1009C25C22×D1111yescharacteristic
1010C22×Q8—111no—
1011C22×Q8C22×D1111yescharacteristic
1012C22×D4—111no—
1013C22×D4—111no—
1014C22×D4—111no—
1015C22×D4—111no—
1016C22×D4—111no—
1017C22×D4—111no—
1018C22×D4—111no—
1019C22×D4—111no—
1020C22×D4—111no—
1021C22×D4C22×D1111yescharacteristic
1022C22×D4C22×D1111yescharacteristic
1023C22×D4C22×D1111yescharacteristic
1024C23×C4—111no—
1025C23×C4—111no—
1026C23×C4—111no—
1027C23×C4—111no—
1028C23×C4—111no—
1029C23×C4—111no—
1030C23×C4—111no—
1031C23×C4—111no—
1032C23×C4—111no—
1033C23×C4C22×D1111yescharacteristic
1034C23×C4C22×D1111yescharacteristic
1035#126—224no—
1036#126—224no—
1037#126—224no—
1038#126—224no—
1039#125—224no—
1040#125—224no—
1041#124—42no—
1042#124—224no—
1043#124—224no—
1044#123—224no—
1045#123—224no—
1046#123—224no—
1047#123—224no—
1048#123—224no—
1049#123—224no—
1050#123—224no—
1051C22⋊Q8—24no—
1052C22⋊Q8—224no—
1053C22⋊Q8—224no—
1054C22⋊Q8—224no—
1055#121—224no—
1056#121—224no—
1057#121—224no—
1058#121—224no—
1059#121—224no—
1060#121—442no—
1061#120—24no—
1062#120—224no—
1063#120—224no—
1064C4×D4—118no—
1065C4×D4—224no—
1066C4×D4—224no—
1067C4×D4—224no—
1068C4×D4—224no—
1069C4×D4—442no—
1070C2×C4⋊C4—111no—
1071C2×C4⋊C4—111no—
1072C2×C4⋊C4—111no—
1073C2×C4⋊C4—111no—
1074C2×C4⋊C4—111no—
1075C2×C4⋊C4—111no—
1076C2×C4⋊C4—111no—
1077C2×C4⋊C4—111no—
1078C2×C4⋊C4—111no—
1079C2×C4⋊C4—111no—
1080C2×C4⋊C4—111no—
1081C2×C4⋊C4—111no—
1082C2×C4⋊C4—111no—
1083C2×C4⋊C4—111no—
1084C2×C4⋊C4—111no—
1085C2×C4⋊C4—111no—
1086C2×C4⋊C4—111no—
1087C2×C4⋊C4—111no—
1088C2×C4⋊C4—111no—
1089C2×C4⋊C4—111no—
1090C2×C4⋊C4—111no—
1091C2×C4⋊C4—111no—
1092C2×C4⋊C4—111no—
1093C2×C4⋊C4—111no—
1094C2×C4⋊C4—111no—
1095C2×C4⋊C4—111no—
1096C2×C4⋊C4—111no—
1097C2×C4⋊C4—224no—
1098C2×C4⋊C4C22×D1111yescharacteristic
1099C2×C4⋊C4C22×D1111yescharacteristic
1100C2×C4⋊C4C22×D1111yescharacteristic
1101C2×C22⋊C4—42no—
1102C2×C22⋊C4—111no—
1103C2×C22⋊C4—111no—
1104C2×C22⋊C4—111no—
1105C2×C22⋊C4—111no—
1106C2×C22⋊C4—111no—
1107C2×C22⋊C4—111no—
1108C2×C22⋊C4—111no—
1109C2×C22⋊C4—111no—
1110C2×C22⋊C4—111no—
1111C2×C22⋊C4—111no—
1112C2×C22⋊C4—111no—
1113C2×C22⋊C4—111no—
1114C2×C22⋊C4—111no—
1115C2×C22⋊C4—111no—
1116C2×C22⋊C4—111no—
1117C2×C22⋊C4—111no—
1118C2×C22⋊C4—111no—
1119C2×C22⋊C4—111no—
1120C2×C22⋊C4—111no—
1121C2×C22⋊C4—111no—
1122C2×C22⋊C4—111no—
1123C2×C22⋊C4—111no—
1124C2×C22⋊C4—111no—
1125C2×C22⋊C4—111no—
1126C2×C22⋊C4—111no—
1127C2×C22⋊C4—111no—
1128C2×C22⋊C4—111no—
1129C2×C22⋊C4—111no—
1130C2×C22⋊C4—111no—
1131C2×C22⋊C4—111no—
1132C2×C22⋊C4—111no—
1133C2×C22⋊C4—111no—
1134C2×C22⋊C4—111no—
1135C2×C22⋊C4—111no—
1136C2×C22⋊C4—111no—
1137C2×C22⋊C4—224no—
1138C2×C22⋊C4—224no—
1139C2×C22⋊C4C22×D1111yescharacteristic
1140C2×C22⋊C4C22×D1111yescharacteristic
1141C2×C22⋊C4C22×D1111yescharacteristic
1142C2×C22⋊C4C22×D1111yescharacteristic
1143C2×C22⋊C4C22×D1111yescharacteristic
1144C2×C22⋊C4C22×D1111yescharacteristic
1145C2×C22⋊C4C22×D1111yescharacteristic
1146C2×C22⋊C4C22×D1111yescharacteristic
1147C2×C22⋊C4C22×D1111yescharacteristic
1148C2×C22⋊C4C22×D1111yescharacteristic
1149C2×C22⋊C4C22×D1111yescharacteristic
1150C2×C22⋊C4C22×D1111yescharacteristic
1151C2×C22⋊C4C22×D1111yescharacteristic
1152C2×C22⋊C4C22×D1111yescharacteristic
1153C2×C22⋊C4C22×D1111yescharacteristic
1154C2×C22⋊C4C22×D1111yescharacteristic
1155C2×C22⋊C4C22×D1111yescharacteristic
1156C2×C42—111no—
1157C2×C42—111no—
1158C2×C42—111no—
1159C2×C42—111no—
1160C2×C42—111no—
1161C2×C42—111no—
1162C2×C42—111no—
1163C2×C42—111no—
1164C2×C42—111no—
1165C2×C42—111no—
1166C2×C42—111no—
1167C2×C42—111no—
1168C2×C42—111no—
1169C2×C42—442no—
1170C2×C42—442no—
1171C2×C42C22×D1111yescharacteristic
1172C2×C42C22×D1111yescharacteristic
1173#95—111no—
1174#95—111no—
1175#95—111no—
1176#95—111no—
1177#95—111no—
1178#95—111no—
1179#95—111no—
1180#95—111no—
1181#95—111no—
1182#95—111no—
1183#95—111no—
1184#95—111no—
1185#95—111no—
1186#95—111no—
1187#95—111no—
1188#95—111no—
1189#95—111no—
1190#95—111no—
1191#95—111no—
1192#95—111no—
1193#95—111no—
1194#95—111no—
1195#95—111no—
1196#95—111no—
1197#95—111no—
1198#95—111no—
1199#95C22×D1111yescharacteristic
1200#95C22×D1111yescharacteristic
1201#95C22×D1111yescharacteristic
1202#95C22×D1111yescharacteristic
1203#95C22×D1111yescharacteristic
1204#95C22×D1111yescharacteristic
1205C2×C11—24no—
1206C2×C11—81no—
1207C2×C11—81no—
1208C2×C11—81no—
1209C2×C11C2×#53211yescharacteristic
1210C2×C11#345511yescharacteristic
1211C2×C11#345911yescharacteristic
1212C2×C11#349611yescharacteristic
1213C2×C11#350011yescharacteristic
1214C2×C11#351311yescharacteristic
1215C2×C11#352111yescharacteristic
1216D11—42no—
1217D11—81no—
1218C24—22no—
1219C24—22no—
1220C24—22no—
1221C24—41no—
1222C24—41no—
1223C24—41no—
1224C24—41no—
1225C24—111no—
1226C24—111no—
1227C24C23×D1111yescharacteristic
1228C24C23×D1111yescharacteristic
1229C24C23×D1111yescharacteristic
1230C24C23×D1111yescharacteristic
1231C2×Q8—22no—
1232C2×Q8—41no—
1233C2×Q8—41no—
1234C2×Q8—222no—
1235C2×Q8—441no—
1236C2×Q8—441no—
1237C2×D4—22no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—22no—
1241C2×D4—22no—
1242C2×D4—41no—
1243C2×D4—41no—
1244C2×D4—41no—
1245C2×D4—41no—
1246C2×D4—114no—
1247C2×D4—222no—
1248C2×D4—222no—
1249C2×D4—222no—
1250C2×D4—222no—
1251C2×D4—222no—
1252C2×D4—222no—
1253C2×D4—222no—
1254C2×D4—222no—
1255C2×D4—222no—
1256C2×D4—222no—
1257C2×D4—222no—
1258C2×D4—222no—
1259C2×D4—441no—
1260C2×D4—441no—
1261C2×D4—441no—
1262C2×D4—441no—
1263C2×D4—441no—
1264C2×D4—441no—
1265C2×D4—441no—
1266C2×D4—441no—
1267C2×D4—441no—
1268C2×D4—441no—
1269C2×D4—441no—
1270C2×D4—441no—
1271C2×D4—441no—
1272C2×D4—441no—
1273C22×C4—22no—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—41no—
1277C22×C4—41no—
1278C22×C4—41no—
1279C22×C4—111no—
1280C22×C4—111no—
1281C22×C4—111no—
1282C22×C4—111no—
1283C22×C4—111no—
1284C22×C4—111no—
1285C22×C4—111no—
1286C22×C4—114no—
1287C22×C4—114no—
1288C22×C4—114no—
1289C22×C4—111no—
1290C22×C4—111no—
1291C22×C4—111no—
1292C22×C4—111no—
1293C22×C4—111no—
1294C22×C4—111no—
1295C22×C4—111no—
1296C22×C4—222no—
1297C22×C4—222no—
1298C22×C4—222no—
1299C22×C4—222no—
1300C22×C4—222no—
1301C22×C4—222no—
1302C22×C4—222no—
1303C22×C4—222no—
1304C22×C4—222no—
1305C22×C4—441no—
1306C22×C4—441no—
1307C22×C4—441no—
1308C22×C4—441no—
1309C22×C4—441no—
1310C22×C4—441no—
1311C22×C4—441no—
1312C22×C4—441no—
1313C22×C4—441no—
1314C22×C4—441no—
1315C22×C4—441no—
1316C22×C4—441no—
1317C22×C4—441no—
1318C22×C4—441no—
1319C22×C4—441no—
1320C22×C4C23×D1111yescharacteristic
1321C22×C4C23×D1111yescharacteristic
1322C22×C4C23×D1111yescharacteristic
1323C22×C4C23×D1111yescharacteristic
1324C22×C4C23×D1111yescharacteristic
1325C22×C4C23×D1111yescharacteristic
1326C22×C4C23×D1111yescharacteristic
1327C22×C4C23×D1111yescharacteristic
1328C22×C4C23×D1111yescharacteristic
1329C22×C4C23×D1111yescharacteristic
1330C22×C4C23×D1111yescharacteristic
1331C4⋊C4—22no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—114no—
1335C4⋊C4—222no—
1336C4⋊C4—222no—
1337C4⋊C4—222no—
1338C4⋊C4—222no—
1339C4⋊C4—222no—
1340C4⋊C4—222no—
1341C4⋊C4—222no—
1342C4⋊C4—222no—
1343C4⋊C4—222no—
1344C4⋊C4—222no—
1345C4⋊C4—222no—
1346C4⋊C4—222no—
1347C4⋊C4—222no—
1348C4⋊C4—222no—
1349C4⋊C4—222no—
1350C4⋊C4—222no—
1351C4⋊C4—222no—
1352C4⋊C4—222no—
1353C4⋊C4—222no—
1354C4⋊C4—222no—
1355C4⋊C4—441no—
1356C4⋊C4—441no—
1357C4⋊C4—441no—
1358C4⋊C4—441no—
1359C4⋊C4—441no—
1360C4⋊C4—441no—
1361C22⋊C4—22no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—22no—
1366C22⋊C4—22no—
1367C22⋊C4—22no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4—41no—
1375C22⋊C4—41no—
1376C22⋊C4—41no—
1377C22⋊C4—114no—
1378C22⋊C4—114no—
1379C22⋊C4—222no—
1380C22⋊C4—222no—
1381C22⋊C4—222no—
1382C22⋊C4—222no—
1383C22⋊C4—222no—
1384C22⋊C4—222no—
1385C22⋊C4—222no—
1386C22⋊C4—222no—
1387C22⋊C4—222no—
1388C22⋊C4—222no—
1389C22⋊C4—222no—
1390C22⋊C4—222no—
1391C22⋊C4—222no—
1392C22⋊C4—222no—
1393C22⋊C4—222no—
1394C22⋊C4—222no—
1395C22⋊C4—222no—
1396C22⋊C4—222no—
1397C22⋊C4—222no—
1398C22⋊C4—222no—
1399C22⋊C4—222no—
1400C22⋊C4—222no—
1401C22⋊C4—222no—
1402C22⋊C4—222no—
1403C22⋊C4—222no—
1404C22⋊C4—222no—
1405C22⋊C4—222no—
1406C22⋊C4—222no—
1407C22⋊C4—222no—
1408C22⋊C4—222no—
1409C22⋊C4—441no—
1410C22⋊C4—441no—
1411C22⋊C4—441no—
1412C22⋊C4D4×D1114yes—
1413C42—22no—
1414C42—41no—
1415C42—114no—
1416C42—222no—
1417C42—222no—
1418C42—222no—
1419C42—222no—
1420C42—222no—
1421C42—222no—
1422C42—441no—
1423C42—441no—
1424C42—441no—
1425C42—441no—
1426C42—441no—
1427C42—441no—
1428C11#3500911yescharacteristic, complemented, Sylow
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—44no—
1455C23—44no—
1456C23—44no—
1457C23—82no—
1458C23—82no—
1459C23—82no—
1460C23—82no—
1461C23—112no—
1462C23—221no—
1463C23—221no—
1464C23—221no—
1465C23—221no—
1466C23—221no—
1467C23—221no—
1468C23—221no—
1469C23—221no—
1470C23—221no—
1471C23—221no—
1472C23—221no—
1473C23—221no—
1474C23—221no—
1475C23C2×D4×D1112yes—
1476C23#41×D1112yes—
1477C23#41×D1112yes—
1478C23C24×D1111yescharacteristic
1479Q8—82no—
1480Q8—882no—
1481D4—44no—
1482D4—82no—
1483D4—82no—
1484D4—228no—
1485D4—444no—
1486D4—444no—
1487D4—882no—
1488D4—882no—
1489D4—882no—
1490D4—882no—
1491D4—882no—
1492D4—882no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—44no—
1524C2×C4—82no—
1525C2×C4—112no—
1526C2×C4—112no—
1527C2×C4—112no—
1528C2×C4—112no—
1529C2×C4—112no—
1530C2×C4—112no—
1531C2×C4—112no—
1532C2×C4—221no—
1533C2×C4—221no—
1534C2×C4—221no—
1535C2×C4—221no—
1536C2×C4—221no—
1537C2×C4—221no—
1538C2×C4—221no—
1539C2×C4—221no—
1540C2×C4—221no—
1541C2×C4—221no—
1542C2×C4—221no—
1543C2×C4—221no—
1544C2×C4—221no—
1545C2×C4—221no—
1546C2×C4—221no—
1547C2×C4—221no—
1548C2×C4—221no—
1549C2×C4—221no—
1550C2×C4—221no—
1551C2×C4—221no—
1552C2×C4—221no—
1553C2×C4—221no—
1554C2×C4—221no—
1555C2×C4—221no—
1556C2×C4—221no—
1557C2×C4—221no—
1558C2×C4—221no—
1559C2×C4—221no—
1560C2×C4—221no—
1561C2×C4—221no—
1562C2×C4—221no—
1563C2×C4—221no—
1564C2×C4—221no—
1565C2×C4—221no—
1566C2×C4—221no—
1567C2×C4—444no—
1568C2×C4—444no—
1569C2×C4—444no—
1570C2×C4—444no—
1571C2×C4—444no—
1572C2×C4—444no—
1573C2×C4—882no—
1574C2×C4—882no—
1575C2×C4—882no—
1576C2×C4C2×D4×D1112yes—
1577C2×C4C2×D4×D1112yes—
1578C2×C4#6703712yes—
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—88no—
1607C22—222no—
1608C22—222no—
1609C22—222no—
1610C22—441no—
1611C22—441no—
1612C22—441no—
1613C22—441no—
1614C22—441no—
1615C22—441no—
1616C22—441no—
1617C22—441no—
1618C22—441no—
1619C22—441no—
1620C22—441no—
1621C22#1062319914yes—
1622C22C22×D4×D1111yescharacteristic
1623C22C2×#6703711yescharacteristic
1624C22C2×#41×D1111yescharacteristic
1625C22C2×#41×D1111yescharacteristic
1626C22#1062345311yescharacteristic
1627C22#1062345511yescharacteristic
1628C22#1062345511yescharacteristic
1629C4—22no—
1630C4—22no—
1631C4—22no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—222no—
1641C4—222no—
1642C4—222no—
1643C4—222no—
1644C4—222no—
1645C4—222no—
1646C4—222no—
1647C4—441no—
1648C4—441no—
1649C4—441no—
1650C4—441no—
1651C4—441no—
1652C4—441no—
1653C4—441no—
1654C2—24no—
1655C2—81no—
1656C2—81no—
1657C2—81no—
1658C2—442no—
1659C2—881no—
1660C2C2×#1062319911yescharacteristic
1661C2#1308199811yescharacteristic
1662C2#1308202311yescharacteristic
1663C2#1308237211yescharacteristic
1664C2#1308240211yescharacteristic
1665C2#1308254911yescharacteristic
1666C2#1308267711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2472C2
hypercenter#2472D11
hypocenterC11#35009
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2472

Complements

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

NH ≅ G/Ntype
1. C2×#10623176C2semidirect
2. C2×#10623124C2semidirect
3. #13076987C2semidirect
4. #13076982C2semidirect
5. #13076943C2semidirect
6. #13076912C2semidirect
7. #13074784C2semidirect
8. #13074772C2semidirect
9. #13074761C2semidirect
10. #13074751C2semidirect
11. #13073763C2semidirect
12. #13073746C2semidirect
13. #13073731C2semidirect
14. #13073718C2semidirect
15. #13073624C2semidirect
16. #13073580C2semidirect
17. #13073544C2semidirect
18. #13073509C2semidirect
19. #13073317C2semidirect
20. #13073293C2semidirect
21. #13072936C2semidirect
22. #13072628C2semidirect
23. #13072579C2semidirect
24. #13072169C2semidirect
25. #13072152C2semidirect
26. #13071290C2semidirect
27. #13071271C2semidirect
28. #13071126C2semidirect
29. C2×#10622557C2semidirect
30. C4×(C22⋊D11)⋊C4C2semidirect
31. C11×#2472C2semidirect
40. C2×#66999C22semidirect
41. C2×#66999C22semidirect
56. C2×#66951C22semidirect
57. C2×#66951C22semidirect
58. C2×#66947C22semidirect
59. C2×#66947C22semidirect
60. C2×#66943C22semidirect
61. C2×#66943C22semidirect
70. C2×(C22⋊D11)⋊C4C22semidirect
74. C2×C42×D11C22semidirect
86. #10622843C22semidirect
87. #10622842C22semidirect
96. #10622596C22semidirect
97. #10622593C22semidirect
98. #10622592C22semidirect
99. #10622587C22semidirect
100. #10622585C22semidirect
101. #10622585C22semidirect
103. #10622573C22semidirect
108. #10622572C22semidirect
109. #10622572C22semidirect
116. #10622570C22semidirect
122. #10622569C22semidirect
123. #10622569C22semidirect
127. #10622564C22semidirect
128. #10622564C22semidirect
134. #10622561C22semidirect
136. #10622559C22semidirect
137. #10622559C22semidirect
150. #10622557C22semidirect
151. #10622557C22semidirect
152. #10622557C22semidirect
157. C22⋊C4×Dic11C22semidirect
158. #10622553C22semidirect
159. #10622553C22semidirect
160. C4×(C2×D11)⋊C4C22semidirect
161. #10622549C22semidirect
162. C4×Dic11⋊C4C22semidirect
163. C42×Dic11C22semidirect
164. #10622542C22semidirect
165. #10622288C22semidirect
166. #10622288C22semidirect
167. #10622287C22semidirect
168. #10622286C22semidirect
169. #10622283C22semidirect
170. #10622282C22semidirect
171. #10622280C22semidirect
172. #10622279C22semidirect
173. #10622279C22semidirect
174. #10622279C22semidirect
175. #10622278C22semidirect
176. #10622272C22semidirect
177. #10622272C22semidirect
178. #10622270C22semidirect
179. #10622270C22semidirect
180. #10622265C22semidirect
181. #10622265C22semidirect
182. #10622262C22semidirect
183. #10622262C22semidirect
184. #10622262C22semidirect
185. #10622260C22semidirect
186. #10622260C22semidirect
187. #10622260C22semidirect
188. #10622260C22semidirect
348. (C22⋊D11)⋊C4D4semidirect
617. #2472D11semidirect
1428. C11#35009semidirect

Maximal subgroups

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

subgroupindex
C2×#106231762
C2×#106231242
#130769872
#130769822
#130769432
#130769122
#130747842
#130747722
#130747612
#130747512
#130737632
#130737462
#130737312
#130737182
#130736242
#130735802
#130735442
#130735092
#130733172
#130732932
#130729362
#130726282
#130725792
#130721692
#130721522
#130712902
#130712712
#130711262
C2×#106225572
C4×(C22⋊D11)⋊C42
C11×#24722
#3500911