Finite Group Databasebeta

← #14924804

Subgroups — #14924804

Order 2816.

2458 conjugacy classes of subgroups.

The subgroup lattice has 1606 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623088C211yesmaximal, characteristic, complemented
2C2×#10623069C211yesmaximal, characteristic, complemented
3#13073699C211yesmaximal, characteristic, complemented
4#13073697C211yesmaximal, characteristic, complemented
5#13073689C211yesmaximal, characteristic, complemented
6#13073688C211yesmaximal, characteristic, complemented
7#13073675C211yesmaximal, characteristic, complemented
8#13073673C211yesmaximal, characteristic, complemented
9#13073660C211yesmaximal, characteristic, complemented
10#13073658C211yesmaximal, characteristic, complemented
11#13073323C211yesmaximal, characteristic, complemented
12#13073315C211yesmaximal, characteristic, complemented
13#13073295C211yesmaximal, characteristic, complemented
14#13073287C211yesmaximal, characteristic, complemented
15#13072626C211yesmaximal, characteristic, complemented
16#13072618C211yesmaximal, characteristic, complemented
17#13072589C211yesmaximal, characteristic, complemented
18#13072581C211yesmaximal, characteristic, complemented
19#13071910C211yesmaximal, characteristic, complemented
20#13071895C211yesmaximal, characteristic, complemented
21#13071858C211yesmaximal, characteristic, complemented
22#13071858C211yesmaximal, characteristic, complemented
23C4×#66938C211yesmaximal, characteristic, complemented
24C4×#66938C211yesmaximal, characteristic, complemented
25C4×#66983C211yesmaximal, characteristic, complemented
26#13071079C211yesmaximal, characteristic, complemented
27#13071061C211yesmaximal, characteristic, complemented
28#13071057C211yesmaximal, characteristic, complemented
29C4×(C22⋊D11)⋊C4C211yesmaximal, characteristic, complemented
30C4×#66979C211yesmaximal, characteristic, complemented
31C4×C11×#121C211yesmaximal, characteristic, complemented
32C2×C11×#121C2211yescharacteristic
33C2×C4×D4×C11C2211yescharacteristic
34C2×C4×D4×C11C2211yescharacteristic
35C2×C4×D4×C11C2211yescharacteristic
36C22×C42×C11C2211yescharacteristic
37C2×#66992C2211yescharacteristic
38C2×#66991C2211yescharacteristic
39C2×#66989C2211yescharacteristic
40C2×#66988C2211yescharacteristic
41C2×#66983C2211yescharacteristic
42C2×C4×C22⋊D11C2211yescharacteristic
43C2×C4×C22⋊D11C2211yescharacteristic
44C2×C4×C22⋊D11C2211yescharacteristic
45C2×C4×C22⋊D11C2211yescharacteristic
46C2×C4×C22⋊D11C2211yescharacteristic
47C2×C4×C22⋊D11C2211yescharacteristic
48C2×#66979C2211yescharacteristic
49C2×#66979C2211yescharacteristic
50C2×#66979C2211yescharacteristic
51C22×C4×Dic11C2211yescharacteristic
52#10623088—28no—
53#10623069—28no—
54C2×#66951C2211yescharacteristic
55C2×#66950C2211yescharacteristic
56C2×#66943C2211yescharacteristic
57C2×#66942C2211yescharacteristic
58C2×#66939C2211yescharacteristic
59C2×#66938C2211yescharacteristic
60C2×#66938C2211yescharacteristic
61C2×#66938C2211yescharacteristic
62C2×#66936C2211yescharacteristic
63C2×#66936C2211yescharacteristic
64C2×(C22⋊D11)⋊C4C2211yescharacteristic
65C2×(C22⋊D11)⋊C4C2211yescharacteristic
66C2×#66932C2211yescharacteristic
67C2×#66932C2211yescharacteristic
68C2×#66932C2211yescharacteristic
69C2×#66931C2211yescharacteristic
70C2×C4×D44C2211yescharacteristic
71C2×#66925C2211yescharacteristic
72C2×C42×D11C2211yescharacteristic
73C2×C4×Dic22C2211yescharacteristic
74C2×C4×Dic22C2211yescharacteristic
75C11×#390C2211yescharacteristic
76C11×#389C2211yescharacteristic
77C11×#388C2211yescharacteristic
78C11×#388C2211yescharacteristic
79C11×#386C2211yescharacteristic
80C11×#386C2211yescharacteristic
81C11×#380C2211yescharacteristic
82C4×C11×C4⋊C4C2211yescharacteristic
83C4×C11×C22⋊C4C2211yescharacteristic
84C4×C11×C22⋊C4C2211yescharacteristic
85#10622836C2211yescharacteristic
86#10622836C2211yescharacteristic
87#10622836C2211yescharacteristic
88#10622836C2211yescharacteristic
89#10622835C2211yescharacteristic
90#10622835C2211yescharacteristic
91#10622833C2211yescharacteristic
92#10622833C2211yescharacteristic
93#10622826C2211yescharacteristic
94#10622826C2211yescharacteristic
95#10622825C2211yescharacteristic
96C4×C22⋊Dic11C2211yescharacteristic
97C4×C22⋊Dic11C2211yescharacteristic
98C4×C22⋊Dic11C2211yescharacteristic
99C4×C22⋊Dic11C2211yescharacteristic
100C4×C22⋊Dic11C2211yescharacteristic
101C4×C22⋊Dic11C2211yescharacteristic
102#10622607C2211yescharacteristic
103#10622607C2211yescharacteristic
104#10622605C2211yescharacteristic
105#10622605C2211yescharacteristic
106#10622603C2211yescharacteristic
107#10622603C2211yescharacteristic
108#10622602C2211yescharacteristic
109#10622602C2211yescharacteristic
110#10622597C2211yescharacteristic
111#10622597C2211yescharacteristic
112#10622597C2211yescharacteristic
113#10622597C2211yescharacteristic
114#10622594C2211yescharacteristic
115#10622594C2211yescharacteristic
116#10622592C2211yescharacteristic
117#10622592C2211yescharacteristic
118#10622574C2211yescharacteristic
119#10622574C2211yescharacteristic
120#10622573C2211yescharacteristic
121#10622573C2211yescharacteristic
122#10622572C2211yescharacteristic
123#10622572C2211yescharacteristic
124#10622570C2211yescharacteristic
125#10622570C2211yescharacteristic
126#10622570C2211yescharacteristic
127#10622570C2211yescharacteristic
128#10622565C2211yescharacteristic
129#10622565C2211yescharacteristic
130#10622564C2211yescharacteristic
131#10622564C2211yescharacteristic
132#10622564C2211yescharacteristic
133#10622564C2211yescharacteristic
134#10622563C2211yescharacteristic
135#10622563C2211yescharacteristic
136#10622562C2211yescharacteristic
137#10622562C2211yescharacteristic
138#10622561C2211yescharacteristic
139#10622561C2211yescharacteristic
140#10622557C2211yescharacteristic
141#10622557C2211yescharacteristic
142#10622557C2211yescharacteristic
143#10622557C2211yescharacteristic
144C22⋊C4×Dic11C2211yescharacteristic
145C22⋊C4×Dic11C2211yescharacteristic
146#10622553C2211yescharacteristic
147#10622553C2211yescharacteristic
148#10622552C2211yescharacteristic
149C4×(C2×D11)⋊C4C2211yescharacteristic
150C4×(C2×D11)⋊C4C2211yescharacteristic
151C4×(C2×D11)⋊C4C2211yescharacteristic
152C4×(C2×D11)⋊C4C2211yescharacteristic
153C4×C4⋊Dic11C2211yescharacteristic
154C4×C4⋊Dic11C2211yescharacteristic
155C4×C4⋊Dic11C2211yescharacteristic
156C4×C4⋊Dic11C2211yescharacteristic
157C4×C4⋊Dic11C2211yescharacteristic
158#10622545C2211yescharacteristic
159#10622545C2211yescharacteristic
160C4×Dic11⋊C4C2211yescharacteristic
161C4×Dic11⋊C4C2211yescharacteristic
162C42×Dic11C2211yescharacteristic
163C42×Dic11C2211yescharacteristic
164#10622541C2211yescharacteristic
165#10622283C2211yescharacteristic
166#10622283C2211yescharacteristic
167#10622283C2211yescharacteristic
168#10622283C2211yescharacteristic
169#10622282C2211yescharacteristic
170#10622282C2211yescharacteristic
171#10622279C2211yescharacteristic
172#10622279C2211yescharacteristic
173#10622278C2211yescharacteristic
174#10622278C2211yescharacteristic
175#10622270C2211yescharacteristic
176#10622270C2211yescharacteristic
177#10622269C2211yescharacteristic
178#10622269C2211yescharacteristic
179#10622267C2211yescharacteristic
180#10622267C2211yescharacteristic
181#10622263C2211yescharacteristic
182#10622263C2211yescharacteristic
183#10622262C2211yescharacteristic
184#10622262C2211yescharacteristic
185#10622260C2211yescharacteristic
186#10622260C2211yescharacteristic
187#10622259C2211yescharacteristic
188#10622259C2211yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C23×C4×C11C2311yescharacteristic
196C23×C4×C11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C22×C22⋊D11C2311yescharacteristic
202C22×C22⋊D11C2311yescharacteristic
203C23×Dic11C2311yescharacteristic
204C23×Dic11C2311yescharacteristic
205C22×D44C2311yescharacteristic
206C22×C4×D11C2311yescharacteristic
207C22×C4×D11C2311yescharacteristic
208C22×C4×D11C2311yescharacteristic
209C22×C4×D11C2311yescharacteristic
210C22×Dic22C2311yescharacteristic
211C22×Dic22C2311yescharacteristic
212C11×#121—24no—
213C4×D4×C11—24no—
214C4×D4×C11—24no—
215C4×D4×C11—24no—
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C4⋊C4C2311yescharacteristic
219C2×C11×C4⋊C4C2311yescharacteristic
220C2×C11×C4⋊C4C2311yescharacteristic
221C2×C11×C22⋊C4C2311yescharacteristic
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×C42×C11—24no—
232C2×C42×C11C2311yescharacteristic
233C2×C42×C11C2311yescharacteristic
234C2×C42×C11C2311yescharacteristic
235C2×C42×C11C2311yescharacteristic
236C2×C42×C11C2311yescharacteristic
237C2×C42×C11C2311yescharacteristic
238C2×C22⋊Dic11C2311yescharacteristic
239C2×C22⋊Dic11C2311yescharacteristic
240C2×C22⋊Dic11C2311yescharacteristic
241C2×C22⋊Dic11C2311yescharacteristic
242C2×C22⋊Dic11C2311yescharacteristic
243C2×C22⋊Dic11C2311yescharacteristic
244C2×C22⋊Dic11C2311yescharacteristic
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
254#66992—24no—
255#66991—24no—
256#66989—24no—
257#66988—24no—
258#66983—24no—
259C4×C22⋊D11—24no—
260C4×C22⋊D11—24no—
261C4×C22⋊D11—24no—
262C4×C22⋊D11—24no—
263C4×C22⋊D11—24no—
264C4×C22⋊D11—24no—
265C2×(C2×D11)⋊C4C2311yescharacteristic
266C2×(C2×D11)⋊C4C2311yescharacteristic
267C2×(C2×D11)⋊C4C2311yescharacteristic
268C2×(C2×D11)⋊C4C2311yescharacteristic
269C2×(C2×D11)⋊C4C2311yescharacteristic
270C2×(C2×D11)⋊C4C2311yescharacteristic
271C2×(C2×D11)⋊C4C2311yescharacteristic
272C2×(C2×D11)⋊C4C2311yescharacteristic
273C2×(C2×D11)⋊C4C2311yescharacteristic
274C2×(C2×D11)⋊C4C2311yescharacteristic
275C2×(C2×D11)⋊C4C2311yescharacteristic
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
283#66979—24no—
284#66979—24no—
285#66979D418yescomplemented
286C2×C4⋊Dic11C2311yescharacteristic
287C2×C4⋊Dic11C2311yescharacteristic
288C2×C4⋊Dic11C2311yescharacteristic
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×Dic11⋊C4C2311yescharacteristic
298C2×Dic11⋊C4C2311yescharacteristic
299C2×Dic11⋊C4C2311yescharacteristic
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×C4×Dic11—24no—
314C2×C4×Dic11C2311yescharacteristic
315C2×C4×Dic11C2311yescharacteristic
316C2×C4×Dic11C2311yescharacteristic
317C2×C4×Dic11C2311yescharacteristic
318C2×C4×Dic11C2311yescharacteristic
319C2×C4×Dic11C2311yescharacteristic
320C2×C4×Dic11C2311yescharacteristic
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
332#66951—24no—
333#66950—24no—
334#66943—24no—
335#66942—24no—
336#66939—24no—
337#66938—24no—
338#66938—24no—
339#66938—24no—
340#66936—24no—
341#66936—24no—
342(C22⋊D11)⋊C4—24no—
343(C22⋊D11)⋊C4—24no—
344#66932—24no—
345#66932—24no—
346#66932—24no—
347#66931—24no—
348C4×D44—24no—
349#66925—24no—
350C42×D11—24no—
351C4×Dic22—24no—
352C4×Dic22—24no—
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#34880—111nomaximal, Sylow
386C24×C11C2411yescharacteristic
387C24×C11C2411yescharacteristic
388C24×C11C2411yescharacteristic
389C23×D11C2411yescharacteristic
390C23×D11C2411yescharacteristic
391C2×D4×C11—22no—
392C2×D4×C11—22no—
393C2×D4×C11—22no—
394C2×D4×C11—22no—
395C2×D4×C11—22no—
396C2×D4×C11—22no—
397C2×D4×C11—41no—
398C2×D4×C11—41no—
399C2×D4×C11—41no—
400C22×C4×C11—22no—
401C22×C4×C11—22no—
402C22×C4×C11—22no—
403C22×C4×C11—22no—
404C22×C4×C11—22no—
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—41no—
413C22×C4×C11—41no—
414C22×C4×C11C2×D414yes—
415C22×C4×C11C2411yescharacteristic
416C22×C4×C11C2411yescharacteristic
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
427C2×C22⋊D11—22no—
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—
445C22×Dic11—22no—
446C22×Dic11—22no—
447C22×Dic11—22no—
448C22×Dic11—22no—
449C22×Dic11—41no—
450C22×Dic11—41no—
451C22×Dic11C2411yescharacteristic
452C22×Dic11C2411yescharacteristic
453C22×Dic11C2411yescharacteristic
454C22×Dic11C2411yescharacteristic
455C22×Dic11C2411yescharacteristic
456C22×Dic11C2411yescharacteristic
457C22×Dic11C2411yescharacteristic
458C22×Dic11C2411yescharacteristic
459C22×Dic11C2411yescharacteristic
460C22×Dic11C2411yescharacteristic
461C22×Dic11C2411yescharacteristic
462C22×Dic11C2411yescharacteristic
463C22×Dic11C2411yescharacteristic
464C22×Dic11C2411yescharacteristic
465C2×D44—22no—
466C2×D44—22no—
467C2×D44—41no—
468C2×C4×D11—22no—
469C2×C4×D11—22no—
470C2×C4×D11—22no—
471C2×C4×D11—22no—
472C2×C4×D11—22no—
473C2×C4×D11—22no—
474C2×C4×D11—22no—
475C2×C4×D11—22no—
476C2×C4×D11—22no—
477C2×C4×D11—22no—
478C2×C4×D11—41no—
479C2×C4×D11—41no—
480C2×Dic22—22no—
481C2×Dic22—22no—
482C2×Dic22—22no—
483C2×Dic22—22no—
484C2×Dic22—41no—
485C2×Dic22—41no—
486C11×C4⋊C4—22no—
487C11×C4⋊C4—22no—
488C11×C4⋊C4—22no—
489C11×C4⋊C4—22no—
490C11×C4⋊C4—41no—
491C11×C22⋊C4—22no—
492C11×C22⋊C4—22no—
493C11×C22⋊C4—22no—
494C11×C22⋊C4—22no—
495C11×C22⋊C4—22no—
496C11×C22⋊C4—22no—
497C11×C22⋊C4—22no—
498C11×C22⋊C4—22no—
499C11×C22⋊C4—22no—
500C11×C22⋊C4#4114yes—
501C42×C11—22no—
502C42×C11—22no—
503C42×C11—22no—
504C42×C11—22no—
505C42×C11—22no—
506C42×C11#4114yes—
507C22⋊Dic11—22no—
508C22⋊Dic11—22no—
509C22⋊Dic11—22no—
510C22⋊Dic11—22no—
511C22⋊Dic11—22no—
512C22⋊Dic11—22no—
513C22⋊Dic11—22no—
514C22⋊Dic11—22no—
515C22⋊Dic11—22no—
516C22⋊Dic11—22no—
517C22⋊Dic11—22no—
518C22⋊Dic11—22no—
519C22⋊Dic11—41no—
520C22⋊Dic11—41no—
521C22⋊Dic11C2×D414yes—
522C22⋊Dic11C2×D414yes—
523(C2×D11)⋊C4—22no—
524(C2×D11)⋊C4—22no—
525(C2×D11)⋊C4—22no—
526(C2×D11)⋊C4—22no—
527(C2×D11)⋊C4—22no—
528(C2×D11)⋊C4—22no—
529(C2×D11)⋊C4—22no—
530(C2×D11)⋊C4—22no—
531(C2×D11)⋊C4—22no—
532(C2×D11)⋊C4—22no—
533(C2×D11)⋊C4—22no—
534(C2×D11)⋊C4—22no—
535(C2×D11)⋊C4—22no—
536(C2×D11)⋊C4—22no—
537(C2×D11)⋊C4—22no—
538(C2×D11)⋊C4—41no—
539(C2×D11)⋊C4—41no—
540(C2×D11)⋊C4#4114yes—
541C4⋊Dic11—22no—
542C4⋊Dic11—22no—
543C4⋊Dic11—22no—
544C4⋊Dic11—22no—
545C4⋊Dic11—22no—
546C4⋊Dic11—22no—
547C4⋊Dic11—22no—
548C4⋊Dic11—22no—
549C4⋊Dic11—41no—
550C4⋊Dic11C2×D414yes—
551C4⋊Dic11C2×D414yes—
552Dic11⋊C4—22no—
553Dic11⋊C4—22no—
554Dic11⋊C4—22no—
555Dic11⋊C4—22no—
556Dic11⋊C4—22no—
557Dic11⋊C4—22no—
558Dic11⋊C4—22no—
559Dic11⋊C4—22no—
560Dic11⋊C4—22no—
561Dic11⋊C4—22no—
562Dic11⋊C4—22no—
563Dic11⋊C4—22no—
564Dic11⋊C4—22no—
565Dic11⋊C4—22no—
566Dic11⋊C4—41no—
567Dic11⋊C4—41no—
568C4×Dic11—22no—
569C4×Dic11—22no—
570C4×Dic11—22no—
571C4×Dic11—22no—
572C4×Dic11—22no—
573C4×Dic11—22no—
574C4×Dic11—22no—
575C4×Dic11—22no—
576C4×Dic11—22no—
577C4×Dic11—22no—
578C4×Dic11—22no—
579C4×Dic11—41no—
580C4×Dic11—41no—
581C4×Dic11—41no—
582C4×Dic11—41no—
583C4×Dic11C2×D414yes—
584C4×Dic11C2×D414yes—
585C4×Dic11#4114yes—
586C2×#529—111no—
587C2×#529—111no—
588#2556—111no—
589#2556—111no—
590#2555—111no—
591#2555—111no—
592#2554—111no—
593#2554—111no—
594#2553—111no—
595#2553—111no—
596#2521—111no—
597#2521—111no—
598#2519—111no—
599#2519—111no—
600#2464—111no—
601#2464—111no—
602#2461—111no—
603#2461—111no—
604#2399—111no—
605#2397—111no—
606#2392—111no—
607#2392—111no—
608C4×#124—111no—
609C4×#124—111no—
610C4×#121—111no—
611C4×#121D1111yescharacteristic, complemented
612#2293—111no—
613#2290—111no—
614#2290—111no—
615C42×D4—111no—
616C4×#117—111no—
617C23×C11—21no—
618C23×C11—21no—
619C23×C11—21no—
620C23×C11—21no—
621C23×C11—21no—
622C23×C11—21no—
623C23×C11—21no—
624C23×C11—21no—
625C23×C11—21no—
626C23×C11—21no—
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×C11C22×D412yes—
637C23×C11C2×#4112yes—
638C23×C11C2511yescharacteristic
639C22×D11—21no—
640C22×D11—21no—
641C22×D11—21no—
642C22×D11—21no—
643C22×D11—21no—
644C22×D11—21no—
645C22×D11—21no—
646C22×D11—21no—
647C22×D11—21no—
648C22×D11—21no—
649C22×D11—21no—
650C22×D11—21no—
651C22×D11—21no—
652C22×D11C2×#4112yes—
653D4×C11—44no—
654D4×C11—44no—
655D4×C11—44no—
656C2×C4×C11—21no—
657C2×C4×C11—21no—
658C2×C4×C11—21no—
659C2×C4×C11—21no—
660C2×C4×C11—21no—
661C2×C4×C11—21no—
662C2×C4×C11—21no—
663C2×C4×C11—21no—
664C2×C4×C11—21no—
665C2×C4×C11—21no—
666C2×C4×C11—21no—
667C2×C4×C11—21no—
668C2×C4×C11—28no—
669C2×C4×C11—21no—
670C2×C4×C11—21no—
671C2×C4×C11—21no—
672C2×C4×C11—21no—
673C2×C4×C11—21no—
674C2×C4×C11—21no—
675C2×C4×C11—21no—
676C2×C4×C11—21no—
677C2×C4×C11—21no—
678C2×C4×C11—21no—
679C2×C4×C11—21no—
680C2×C4×C11—21no—
681C2×C4×C11—21no—
682C2×C4×C11—21no—
683C2×C4×C11—21no—
684C2×C4×C11—44no—
685C2×C4×C11—44no—
686C2×C4×C11—44no—
687C2×C4×C11—44no—
688C2×C4×C11C22×D412yes—
689C2×C4×C11C22×D412yes—
690C2×C4×C11C2×#4112yes—
691C2×C4×C11C2×#4112yes—
692C2×C4×C11C2×#4112yes—
693C2×C4×C11C2×#4112yes—
694C2×C4×C11C2×#4112yes—
695C2×C4×C11C2×#4112yes—
696C2×C4×C11C2×#4112yes—
697C22⋊D11—28no—
698C22⋊D11—44no—
699C22⋊D11—44no—
700C22⋊D11—44no—
701C22⋊D11—44no—
702C22⋊D11—44no—
703C2×Dic11—21no—
704C2×Dic11—21no—
705C2×Dic11—21no—
706C2×Dic11—21no—
707C2×Dic11—21no—
708C2×Dic11—21no—
709C2×Dic11—21no—
710C2×Dic11—21no—
711C2×Dic11—21no—
712C2×Dic11—21no—
713C2×Dic11—21no—
714C2×Dic11—21no—
715C2×Dic11—21no—
716C2×Dic11—21no—
717C2×Dic11—21no—
718C2×Dic11—21no—
719C2×Dic11—21no—
720C2×Dic11—21no—
721C2×Dic11—21no—
722C2×Dic11—21no—
723C2×Dic11—21no—
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—44no—
739C2×Dic11—44no—
740C2×Dic11C22×D412yes—
741C2×Dic11C22×D412yes—
742C2×Dic11C22×D412yes—
743C2×Dic11C22×D412yes—
744C2×Dic11C2×#4112yes—
745C2×Dic11C2×#4112yes—
746C2×Dic11C2×#4112yes—
747D44—44no—
748C4×D11—44no—
749C4×D11—44no—
750C4×D11—44no—
751C4×D11—44no—
752Dic22—44no—
753Dic22—44no—
754#529—228no—
755#529—228no—
756C2×#126—111no—
757C2×#126—111no—
758C2×#126—111no—
759C2×#126—111no—
760C2×#125—111no—
761C2×#125—111no—
762C2×#124—111no—
763C2×#124—111no—
764C2×#124—111no—
765C2×#124—111no—
766C2×#123—111no—
767C2×#123—111no—
768C2×#123—111no—
769C2×#123—111no—
770C2×C22⋊Q8—111no—
771C2×C22⋊Q8—111no—
772C2×#121—111no—
773C2×#121—111no—
774C2×#121—111no—
775C2×#121C2×D1111yescharacteristic
776C2×C4×Q8—111no—
777C2×C4×Q8—111no—
778C2×C4×D4—111no—
779C2×C4×D4—111no—
780C2×C4×D4—111no—
781C2×C4×D4—111no—
782C2×C4×D4—111no—
783C2×C4×D4—111no—
784C2×C4×D4—111no—
785C2×C4×D4—111no—
786C2×C4×D4—111no—
787C2×C4×D4C2×D1111yescharacteristic
788C2×C4×D4C2×D1111yescharacteristic
789C2×C4×D4C2×D1111yescharacteristic
790C2×#117—111no—
791C2×#117—111no—
792C2×#117—111no—
793C2×#117—111no—
794C22×C42—111no—
795C22×C42—111no—
796C22×C42C2×D1111yescharacteristic
797#399—111no—
798#399—111no—
799#399—111no—
800#399—111no—
801#398—111no—
802#398—111no—
803#398—111no—
804#398—111no—
805#398—111no—
806#398—111no—
807#397—111no—
808#397—111no—
809#396—111no—
810#396—111no—
811#396—111no—
812#396—111no—
813#395—111no—
814#395—111no—
815#395—111no—
816#395—111no—
817#394—111no—
818#394—111no—
819#394—111no—
820#394—111no—
821#394—111no—
822#394—111no—
823#392—111no—
824#392—111no—
825#392—111no—
826#392—111no—
827#392—111no—
828#392—111no—
829#391—111no—
830#391—111no—
831#390—111no—
832#390—111no—
833#390—111no—
834#390—111no—
835#390—111no—
836#390C2×D1111yescharacteristic
837#389—111no—
838#389—111no—
839#389—111no—
840#389C2×D1111yescharacteristic
841#388—111no—
842#388—111no—
843#388—111no—
844#388—111no—
845#388—111no—
846#388—111no—
847#388—111no—
848#388—111no—
849#388—111no—
850#388—111no—
851#388—111no—
852#388—111no—
853#388—111no—
854#388—111no—
855#388—111no—
856#388—111no—
857#388—111no—
858#388—111no—
859#388C2×D1111yescharacteristic
860#388C2×D1111yescharacteristic
861#387—111no—
862#387—111no—
863#387—111no—
864#387—111no—
865#386—111no—
866#386—111no—
867#386—111no—
868#386—111no—
869#386—111no—
870#386—111no—
871#386C2×D1111yescharacteristic
872#386C2×D1111yescharacteristic
873#385—111no—
874#385—111no—
875#385—111no—
876#385—111no—
877#382—111no—
878#382—111no—
879#380—111no—
880#380C2×D1111yescharacteristic
881C4×C4⋊C4—111no—
882C4×C4⋊C4—111no—
883C4×C4⋊C4—111no—
884C4×C4⋊C4—111no—
885C4×C4⋊C4—111no—
886C4×C4⋊C4—111no—
887C4×C4⋊C4—111no—
888C4×C4⋊C4—111no—
889C4×C4⋊C4—111no—
890C4×C4⋊C4C2×D1111yescharacteristic
891C4×C22⋊C4—111no—
892C4×C22⋊C4—111no—
893C4×C22⋊C4—111no—
894C4×C22⋊C4—111no—
895C4×C22⋊C4—111no—
896C4×C22⋊C4—111no—
897C4×C22⋊C4—111no—
898C4×C22⋊C4—111no—
899C4×C22⋊C4—111no—
900C4×C22⋊C4—111no—
901C4×C22⋊C4—111no—
902C4×C22⋊C4—111no—
903C4×C22⋊C4—111no—
904C4×C22⋊C4—111no—
905C4×C22⋊C4C2×D1111yescharacteristic
906C4×C22⋊C4C2×D1111yescharacteristic
907#376—111no—
908#376—111no—
909C43—111no—
910C43—111no—
911C22×C11—22no—
912C22×C11—22no—
913C22×C11—22no—
914C22×C11—22no—
915C22×C11—22no—
916C22×C11—22no—
917C22×C11—41no—
918C22×C11—41no—
919C22×C11—41no—
920C22×C11—41no—
921C22×C11—41no—
922C22×C11—41no—
923C22×C11—41no—
924C22×C11—41no—
925C22×C11—41no—
926C22×C11—41no—
927C22×C11—41no—
928C22×C11—41no—
929C22×C11—41no—
930C22×C11—41no—
931C22×C11—41no—
932C22×C11C23×D411yescharacteristic
933C22×C11C22×#4111yescharacteristic
934C22×C11C22×#4111yescharacteristic
935C22×C11C22×#4111yescharacteristic
936C22×C11C22×#4111yescharacteristic
937C22×C11#58511yescharacteristic
938C22×C11#58511yescharacteristic
939C2×D11—22no—
940C2×D11—22no—
941C2×D11—22no—
942C2×D11—41no—
943C2×D11—41no—
944C2×D11—41no—
945C2×D11—41no—
946C2×D11—41no—
947C2×D11—41no—
948C2×D11—41no—
949C2×D11—41no—
950C2×D11—41no—
951C2×D11—41no—
952C2×D11—41no—
953C4×C11—22no—
954C4×C11—22no—
955C4×C11—22no—
956C4×C11—22no—
957C4×C11—22no—
958C4×C11—22no—
959C4×C11—41no—
960C4×C11—41no—
961C4×C11—41no—
962C4×C11—41no—
963C4×C11—41no—
964C4×C11#53214yes—
965Dic11—22no—
966Dic11—22no—
967Dic11—22no—
968Dic11—22no—
969Dic11—22no—
970Dic11—22no—
971Dic11—22no—
972Dic11—41no—
973Dic11—41no—
974Dic11—41no—
975Dic11—41no—
976Dic11—41no—
977Dic11—41no—
978Dic11—41no—
979C22×Q8—111no—
980C22×Q8—111no—
981C22×D4—111no—
982C22×D4—111no—
983C22×D4—111no—
984C22×D4—111no—
985C22×D4—111no—
986C22×D4—111no—
987C22×D4—111no—
988C22×D4C22×D1111yescharacteristic
989C22×D4C22×D1111yescharacteristic
990C22×D4C22×D1111yescharacteristic
991C23×C4—111no—
992C23×C4—111no—
993C23×C4—111no—
994C23×C4—111no—
995C23×C4—111no—
996C23×C4—111no—
997C23×C4C22×D1111yescharacteristic
998C23×C4C22×D1111yescharacteristic
999C23×C4C22×D1111yescharacteristic
1000C23×C4C22×D1111yescharacteristic
1001C23×C4C22×D1111yescharacteristic
1002#126—224no—
1003#126—224no—
1004#126—224no—
1005#126—224no—
1006#125—224no—
1007#125—224no—
1008#124—224no—
1009#124—224no—
1010#124—224no—
1011#124—224no—
1012#123—224no—
1013#123—224no—
1014#123—224no—
1015#123—224no—
1016C22⋊Q8—224no—
1017C22⋊Q8—224no—
1018#121—24no—
1019#121—224no—
1020#121—224no—
1021#121—224no—
1022C4×Q8—224no—
1023C4×Q8—224no—
1024C4×D4—24no—
1025C4×D4—24no—
1026C4×D4—24no—
1027C4×D4—224no—
1028C4×D4—224no—
1029C4×D4—224no—
1030C4×D4—224no—
1031C4×D4—224no—
1032C4×D4—224no—
1033C4×D4—224no—
1034C4×D4—224no—
1035C4×D4—224no—
1036#117—118no—
1037#117—224no—
1038#117—224no—
1039#117—224no—
1040C2×C4⋊C4—111no—
1041C2×C4⋊C4—111no—
1042C2×C4⋊C4—111no—
1043C2×C4⋊C4—111no—
1044C2×C4⋊C4—111no—
1045C2×C4⋊C4—111no—
1046C2×C4⋊C4—111no—
1047C2×C4⋊C4—111no—
1048C2×C4⋊C4—111no—
1049C2×C4⋊C4—111no—
1050C2×C4⋊C4—111no—
1051C2×C4⋊C4—111no—
1052C2×C4⋊C4—111no—
1053C2×C4⋊C4—111no—
1054C2×C4⋊C4—111no—
1055C2×C4⋊C4—111no—
1056C2×C4⋊C4—111no—
1057C2×C4⋊C4—111no—
1058C2×C4⋊C4—111no—
1059C2×C4⋊C4—111no—
1060C2×C4⋊C4—111no—
1061C2×C4⋊C4—111no—
1062C2×C4⋊C4—111no—
1063C2×C4⋊C4—111no—
1064C2×C4⋊C4—111no—
1065C2×C4⋊C4—111no—
1066C2×C4⋊C4—111no—
1067C2×C4⋊C4C22×D1111yescharacteristic
1068C2×C4⋊C4C22×D1111yescharacteristic
1069C2×C4⋊C4C22×D1111yescharacteristic
1070C2×C4⋊C4C22×D1111yescharacteristic
1071C2×C4⋊C4C22×D1111yescharacteristic
1072C2×C22⋊C4—111no—
1073C2×C22⋊C4—111no—
1074C2×C22⋊C4—111no—
1075C2×C22⋊C4—111no—
1076C2×C22⋊C4—111no—
1077C2×C22⋊C4—111no—
1078C2×C22⋊C4—111no—
1079C2×C22⋊C4—111no—
1080C2×C22⋊C4—111no—
1081C2×C22⋊C4—111no—
1082C2×C22⋊C4—111no—
1083C2×C22⋊C4—111no—
1084C2×C22⋊C4—111no—
1085C2×C22⋊C4—111no—
1086C2×C22⋊C4—111no—
1087C2×C22⋊C4—111no—
1088C2×C22⋊C4—111no—
1089C2×C22⋊C4—111no—
1090C2×C22⋊C4—111no—
1091C2×C22⋊C4—111no—
1092C2×C22⋊C4—111no—
1093C2×C22⋊C4—111no—
1094C2×C22⋊C4—111no—
1095C2×C22⋊C4—111no—
1096C2×C22⋊C4—111no—
1097C2×C22⋊C4—111no—
1098C2×C22⋊C4—111no—
1099C2×C22⋊C4—111no—
1100C2×C22⋊C4—111no—
1101C2×C22⋊C4—111no—
1102C2×C22⋊C4—111no—
1103C2×C22⋊C4—111no—
1104C2×C22⋊C4—111no—
1105C2×C22⋊C4—111no—
1106C2×C22⋊C4C22×D1111yescharacteristic
1107C2×C22⋊C4C22×D1111yescharacteristic
1108C2×C22⋊C4C22×D1111yescharacteristic
1109C2×C22⋊C4C22×D1111yescharacteristic
1110C2×C22⋊C4C22×D1111yescharacteristic
1111C2×C22⋊C4C22×D1111yescharacteristic
1112C2×C22⋊C4C22×D1111yescharacteristic
1113C2×C22⋊C4C22×D1111yescharacteristic
1114C2×C22⋊C4C22×D1111yescharacteristic
1115C2×C22⋊C4C22×D1111yescharacteristic
1116C2×C42—24no—
1117C2×C42—111no—
1118C2×C42—111no—
1119C2×C42—111no—
1120C2×C42—111no—
1121C2×C42—111no—
1122C2×C42—111no—
1123C2×C42—111no—
1124C2×C42—111no—
1125C2×C42—111no—
1126C2×C42—111no—
1127C2×C42—111no—
1128C2×C42—111no—
1129C2×C42—111no—
1130C2×C42—111no—
1131C2×C42—111no—
1132C2×C42—111no—
1133C2×C42—111no—
1134C2×C42—111no—
1135C2×C42—224no—
1136C2×C42—224no—
1137C2×C42C22×D1111yescharacteristic
1138C2×C42C22×D1111yescharacteristic
1139C2×C42C22×D1111yescharacteristic
1140C2×C42C22×D1111yescharacteristic
1141C2×C42C22×D1111yescharacteristic
1142C2×C42C22×D1111yescharacteristic
1143#95—111no—
1144#95—111no—
1145#95—111no—
1146#95—111no—
1147#95—111no—
1148#95—111no—
1149#95—111no—
1150#95—111no—
1151#95—111no—
1152#95—111no—
1153#95—111no—
1154#95—111no—
1155#95—111no—
1156#95—111no—
1157#95—111no—
1158#95—111no—
1159#95—111no—
1160#95—111no—
1161#95—111no—
1162#95—111no—
1163#95—111no—
1164#95—111no—
1165#95—111no—
1166#95—111no—
1167#95—111no—
1168#95—111no—
1169#95C22×D1111yescharacteristic
1170#95C22×D1111yescharacteristic
1171#95C22×D1111yescharacteristic
1172#95C22×D1111yescharacteristic
1173#95C22×D1111yescharacteristic
1174#95C22×D1111yescharacteristic
1175C2×C11—42no—
1176C2×C11—42no—
1177C2×C11—81no—
1178C2×C11C2×#53211yescharacteristic
1179C2×C11#344411yescharacteristic
1180C2×C11#345511yescharacteristic
1181C2×C11D4×#4111yescharacteristic
1182C2×C11D4×#4111yescharacteristic
1183C2×C11#347511yescharacteristic
1184C2×C11#347511yescharacteristic
1185D11—42no—
1186D11—81no—
1187C24—111no—
1188C24—111no—
1189C24C23×D1111yescharacteristic
1190C24C23×D1111yescharacteristic
1191C24C23×D1111yescharacteristic
1192C2×Q8—222no—
1193C2×Q8—222no—
1194C2×Q8—222no—
1195C2×Q8—222no—
1196C2×Q8—441no—
1197C2×Q8—441no—
1198C2×D4—22no—
1199C2×D4—22no—
1200C2×D4—22no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—41no—
1205C2×D4—41no—
1206C2×D4—41no—
1207C2×D4—222no—
1208C2×D4—222no—
1209C2×D4—222no—
1210C2×D4—222no—
1211C2×D4—222no—
1212C2×D4—222no—
1213C2×D4—222no—
1214C2×D4—222no—
1215C2×D4—222no—
1216C2×D4—222no—
1217C2×D4—222no—
1218C2×D4—222no—
1219C2×D4—222no—
1220C2×D4—222no—
1221C2×D4—441no—
1222C2×D4—441no—
1223C2×D4—441no—
1224C2×D4—441no—
1225C2×D4—441no—
1226C2×D4—441no—
1227C2×D4—441no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—41no—
1241C22×C4—41no—
1242C22×C4—111no—
1243C22×C4—111no—
1244C22×C4—111no—
1245C22×C4—111no—
1246C22×C4—111no—
1247C22×C4—111no—
1248C22×C4—111no—
1249C22×C4—111no—
1250C22×C4—111no—
1251C22×C4—111no—
1252C22×C4—111no—
1253C22×C4—111no—
1254C22×C4—111no—
1255C22×C4—111no—
1256C22×C4—222no—
1257C22×C4—222no—
1258C22×C4—222no—
1259C22×C4—222no—
1260C22×C4—222no—
1261C22×C4—222no—
1262C22×C4—222no—
1263C22×C4—222no—
1264C22×C4—222no—
1265C22×C4—222no—
1266C22×C4—222no—
1267C22×C4—222no—
1268C22×C4—222no—
1269C22×C4—222no—
1270C22×C4—441no—
1271C22×C4—441no—
1272C22×C4—441no—
1273C22×C4—441no—
1274C22×C4D4×D1114yes—
1275C22×C4C23×D1111yescharacteristic
1276C22×C4C23×D1111yescharacteristic
1277C22×C4C23×D1111yescharacteristic
1278C22×C4C23×D1111yescharacteristic
1279C22×C4C23×D1111yescharacteristic
1280C22×C4C23×D1111yescharacteristic
1281C22×C4C23×D1111yescharacteristic
1282C22×C4C23×D1111yescharacteristic
1283C22×C4C23×D1111yescharacteristic
1284C22×C4C23×D1111yescharacteristic
1285C22×C4C23×D1111yescharacteristic
1286C22×C4C23×D1111yescharacteristic
1287C4⋊C4—22no—
1288C4⋊C4—22no—
1289C4⋊C4—22no—
1290C4⋊C4—22no—
1291C4⋊C4—41no—
1292C4⋊C4—114no—
1293C4⋊C4—114no—
1294C4⋊C4—222no—
1295C4⋊C4—222no—
1296C4⋊C4—222no—
1297C4⋊C4—222no—
1298C4⋊C4—222no—
1299C4⋊C4—222no—
1300C4⋊C4—222no—
1301C4⋊C4—222no—
1302C4⋊C4—222no—
1303C4⋊C4—222no—
1304C4⋊C4—222no—
1305C4⋊C4—222no—
1306C4⋊C4—222no—
1307C4⋊C4—222no—
1308C4⋊C4—222no—
1309C4⋊C4—222no—
1310C4⋊C4—222no—
1311C4⋊C4—222no—
1312C4⋊C4—222no—
1313C4⋊C4—222no—
1314C4⋊C4—222no—
1315C4⋊C4—222no—
1316C4⋊C4—441no—
1317C4⋊C4—441no—
1318C4⋊C4—441no—
1319C22⋊C4—22no—
1320C22⋊C4—22no—
1321C22⋊C4—22no—
1322C22⋊C4—22no—
1323C22⋊C4—22no—
1324C22⋊C4—22no—
1325C22⋊C4—22no—
1326C22⋊C4—22no—
1327C22⋊C4—22no—
1328C22⋊C4—114no—
1329C22⋊C4—114no—
1330C22⋊C4—114no—
1331C22⋊C4—222no—
1332C22⋊C4—222no—
1333C22⋊C4—222no—
1334C22⋊C4—222no—
1335C22⋊C4—222no—
1336C22⋊C4—222no—
1337C22⋊C4—222no—
1338C22⋊C4—222no—
1339C22⋊C4—222no—
1340C22⋊C4—222no—
1341C22⋊C4—222no—
1342C22⋊C4—222no—
1343C22⋊C4—222no—
1344C22⋊C4—222no—
1345C22⋊C4—222no—
1346C22⋊C4—222no—
1347C22⋊C4—222no—
1348C22⋊C4—222no—
1349C22⋊C4—222no—
1350C22⋊C4—222no—
1351C22⋊C4—222no—
1352C22⋊C4—222no—
1353C22⋊C4—222no—
1354C22⋊C4—222no—
1355C22⋊C4—222no—
1356C22⋊C4—222no—
1357C22⋊C4—222no—
1358C22⋊C4—441no—
1359C22⋊C4—441no—
1360C22⋊C4—441no—
1361C22⋊C4—441no—
1362C22⋊C4#433914yes—
1363C42—22no—
1364C42—22no—
1365C42—22no—
1366C42—22no—
1367C42—22no—
1368C42—114no—
1369C42—114no—
1370C42—114no—
1371C42—222no—
1372C42—222no—
1373C42—222no—
1374C42—222no—
1375C42—222no—
1376C42—222no—
1377C42—222no—
1378C42—222no—
1379C42—222no—
1380C42—222no—
1381C42—222no—
1382C42—441no—
1383C42—441no—
1384C42—441no—
1385C42—441no—
1386C42#434114yes—
1387C11#3488011yescharacteristic, complemented, Sylow
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—112no—
1408C23—221no—
1409C23—221no—
1410C23—221no—
1411C23—221no—
1412C23—221no—
1413C23—221no—
1414C23—221no—
1415C23—221no—
1416C23—221no—
1417C23—221no—
1418C23—221no—
1419C23—221no—
1420C23—221no—
1421C23C2×#433912yes—
1422C23C2×D4×D1112yes—
1423C23C24×D1111yescharacteristic
1424Q8—444no—
1425Q8—444no—
1426D4—44no—
1427D4—44no—
1428D4—44no—
1429D4—228no—
1430D4—444no—
1431D4—444no—
1432D4—444no—
1433D4—444no—
1434D4—444no—
1435D4—444no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—28no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—44no—
1465C2×C4—44no—
1466C2×C4—44no—
1467C2×C4—44no—
1468C2×C4—112no—
1469C2×C4—112no—
1470C2×C4—112no—
1471C2×C4—112no—
1472C2×C4—112no—
1473C2×C4—112no—
1474C2×C4—112no—
1475C2×C4—221no—
1476C2×C4—221no—
1477C2×C4—221no—
1478C2×C4—221no—
1479C2×C4—221no—
1480C2×C4—221no—
1481C2×C4—221no—
1482C2×C4—221no—
1483C2×C4—221no—
1484C2×C4—221no—
1485C2×C4—221no—
1486C2×C4—221no—
1487C2×C4—221no—
1488C2×C4—221no—
1489C2×C4—221no—
1490C2×C4—221no—
1491C2×C4—221no—
1492C2×C4—221no—
1493C2×C4—221no—
1494C2×C4—221no—
1495C2×C4—221no—
1496C2×C4—221no—
1497C2×C4—221no—
1498C2×C4—221no—
1499C2×C4—221no—
1500C2×C4—221no—
1501C2×C4—221no—
1502C2×C4—221no—
1503C2×C4—221no—
1504C2×C4—221no—
1505C2×C4—221no—
1506C2×C4—221no—
1507C2×C4—221no—
1508C2×C4—221no—
1509C2×C4—221no—
1510C2×C4—444no—
1511C2×C4—444no—
1512C2×C4—444no—
1513C2×C4—444no—
1514C2×C4—444no—
1515C2×C4—444no—
1516C2×C4C2×#433912yes—
1517C2×C4C2×#433912yes—
1518C2×C4C2×D4×D1112yes—
1519C2×C4C2×D4×D1112yes—
1520C2×C4C2×#434112yes—
1521C2×C4C2×#434112yes—
1522C2×C4C2×#434112yes—
1523C2×C4#41×D1112yes—
1524C2×C4#41×D1112yes—
1525C22—22no—
1526C22—22no—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—222no—
1547C22—222no—
1548C22—222no—
1549C22—441no—
1550C22—441no—
1551C22—441no—
1552C22—441no—
1553C22—441no—
1554C22—441no—
1555C22—441no—
1556C22—441no—
1557C22—441no—
1558C22—441no—
1559C22—441no—
1560C22C22×#433911yescharacteristic
1561C22C22×D4×D1111yescharacteristic
1562C22C22×#434111yescharacteristic
1563C22C2×#41×D1111yescharacteristic
1564C22C2×#41×D1111yescharacteristic
1565C22#1062345311yescharacteristic
1566C22#1062345311yescharacteristic
1567C4—22no—
1568C4—22no—
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—22no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—222no—
1579C4—222no—
1580C4—222no—
1581C4—222no—
1582C4—222no—
1583C4—222no—
1584C4—222no—
1585C4—441no—
1586C4—441no—
1587C4—441no—
1588C4—441no—
1589C4—441no—
1590C4—441no—
1591C4—441no—
1592C4#1062312714yes—
1593C2—42no—
1594C2—42no—
1595C2—81no—
1596C2—442no—
1597C2—881no—
1598C2C2×#1062312711yescharacteristic
1599C2#1308190911yescharacteristic
1600C2#1308199911yescharacteristic
1601C2#1308210211yescharacteristic
1602C2D4×#433911yescharacteristic
1603C2#1308217411yescharacteristic
1604C2#1308217611yescharacteristic
subgroupG/H
centerC22×C4C23×D11
commutator, socle, cosocleC23×C11C25
FrattiniC23C24×D11
FittingC4×C11×#121C2
hypercenterC4×#121D11
hypocenterC11#34880
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ C4×#121

Complements

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

NH ≅ G/Ntype
1. C2×#10623088C2semidirect
2. C2×#10623069C2semidirect
3. #13073699C2semidirect
4. #13073697C2semidirect
5. #13073689C2semidirect
6. #13073688C2semidirect
7. #13073675C2semidirect
8. #13073673C2semidirect
9. #13073660C2semidirect
10. #13073658C2semidirect
11. #13073323C2semidirect
12. #13073315C2semidirect
13. #13073295C2semidirect
14. #13073287C2semidirect
15. #13072626C2semidirect
16. #13072618C2semidirect
17. #13072589C2semidirect
18. #13072581C2semidirect
19. #13071910C2semidirect
20. #13071895C2semidirect
21. #13071858C2semidirect
22. #13071858C2semidirect
23. C4×#66938C2semidirect
24. C4×#66938C2semidirect
25. C4×#66983C2semidirect
26. #13071079C2semidirect
27. #13071061C2semidirect
28. #13071057C2semidirect
29. C4×(C22⋊D11)⋊C4C2semidirect
30. C4×#66979C2semidirect
31. C4×C11×#121C2semidirect
285. #66979D4semidirect
611. C4×#121D11semidirect
1387. C11#34880semidirect

Maximal subgroups

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

subgroupindex
C2×#106230882
C2×#106230692
#130736992
#130736972
#130736892
#130736882
#130736752
#130736732
#130736602
#130736582
#130733232
#130733152
#130732952
#130732872
#130726262
#130726182
#130725892
#130725812
#130719102
#130718952
#130718582
C4×#669382
C4×#669832
#130710792
#130710612
#130710572
C4×(C22⋊D11)⋊C42
C4×#669792
C4×C11×#1212
#3488011