Finite Group Databasebeta

← #14923962

Subgroups — #14923962

Order 2816.

2804 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623180C211yesmaximal, characteristic, complemented
2C2×#10623137C211yesmaximal, characteristic, complemented
3#13073755C211yesmaximal, characteristic, complemented
4#13073740C211yesmaximal, characteristic, complemented
5#13073725C211yesmaximal, characteristic, complemented
6#13073710C211yesmaximal, characteristic, complemented
7#13073697C211yesmaximal, characteristic, complemented
8#13073688C211yesmaximal, characteristic, complemented
9#13073675C211yesmaximal, characteristic, complemented
10#13073660C211yesmaximal, characteristic, complemented
11#13073629C211yesmaximal, characteristic, complemented
12#13073574C211yesmaximal, characteristic, complemented
13#13073546C211yesmaximal, characteristic, complemented
14#13073505C211yesmaximal, characteristic, complemented
15#13072942C211yesmaximal, characteristic, complemented
16#13072744C211yesmaximal, characteristic, complemented
17#13072146C211yesmaximal, characteristic, complemented
18#13071893C211yesmaximal, characteristic, complemented
19#13071874C211yesmaximal, characteristic, complemented
20#13071861C211yesmaximal, characteristic, complemented
21#13071830C211yesmaximal, characteristic, complemented
22#13071157C211yesmaximal, characteristic, complemented
23#123×Dic11C211yesmaximal, characteristic, complemented
24#13071126C211yesmaximal, characteristic, complemented
25#13071122C211yesmaximal, characteristic, complemented
26#13071117C211yesmaximal, characteristic, complemented
27#13071101C211yesmaximal, characteristic, complemented
28#13071074C211yesmaximal, characteristic, complemented
29C4×D4×Dic11C211yesmaximal, characteristic, complemented
30C2×#10622279C211yesmaximal, characteristic, complemented
31C11×#2425C211yesmaximal, characteristic, complemented
32C22×#4341C2211yescharacteristic
33C23×C4×D11C2211yescharacteristic
34C2×C11×#123C2211yescharacteristic
35C2×C11×#123C2211yescharacteristic
36C2×C11×#121C2211yescharacteristic
37C2×C4×D4×C11C2211yescharacteristic
38C2×#66992C2211yescharacteristic
39C2×#66992C2211yescharacteristic
40C2×#66991C2211yescharacteristic
41C2×#66990C2211yescharacteristic
42C2×#66990C2211yescharacteristic
43C2×D4×Dic11C2211yescharacteristic
44C2×D4×Dic11C2211yescharacteristic
45C2×D4×Dic11C2211yescharacteristic
46C2×#66983C2211yescharacteristic
47C2×#66982C2211yescharacteristic
48C22×(C2×D11)⋊C4C2211yescharacteristic
49C22×(C2×D11)⋊C4C2211yescharacteristic
50C2×#66977C2211yescharacteristic
51C22×C4×Dic11C2211yescharacteristic
52C22×C4×Dic11C2211yescharacteristic
53C22×C4×Dic11C2211yescharacteristic, complemented
54#10623180—28no—
55#10623137—28no—
56C2×#66951C2211yescharacteristic, complemented
57C2×#66950C2211yescharacteristic
58C2×#66946C2211yescharacteristic
59C2×#66946C2211yescharacteristic
60C2×#66945C2211yescharacteristic
61C2×#66945C2211yescharacteristic, complemented
62C2×#66942C2211yescharacteristic, complemented
63C2×#66940C2211yescharacteristic, complemented
64C2×#66938C2211yescharacteristic
65C2×#66938C2211yescharacteristic, complemented
66C2×#66936C2211yescharacteristic
67C2×#66936C2211yescharacteristic
68C2×#66935C2211yescharacteristic
69C2×(C22⋊D11)⋊C4C2211yescharacteristic
70C2×(C22⋊D11)⋊C4C2211yescharacteristic
71C2×(C22⋊D11)⋊C4C2211yescharacteristic
72C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
73C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
74C2×#66932C2211yescharacteristic, complemented
75C2×#66931C2211yescharacteristic
76C2×#66930C2211yescharacteristic, complemented
77C11×#398C2211yescharacteristic, complemented
78C11×#397C2211yescharacteristic, complemented
79C11×#396C2211yescharacteristic, complemented
80C11×#394C2211yescharacteristic, complemented
81C11×#389C2211yescharacteristic, complemented
82C11×#388C2211yescharacteristic, complemented
83C11×#386C2211yescharacteristic
84C11×#386C2211yescharacteristic, complemented
85C11×#385C2211yescharacteristic
86C11×#380C2211yescharacteristic, complemented
87C2×C11×#95C2211yescharacteristic
88#10622836C2211yescharacteristic, complemented
89#10622833C2211yescharacteristic
90#10622833C2211yescharacteristic, complemented
91#10622826C2211yescharacteristic
92#10622826C2211yescharacteristic
93#10622826C2211yescharacteristic
94#10622824C2211yescharacteristic
95C4×C22⋊Dic11C2211yescharacteristic
96C4×C22⋊Dic11C2211yescharacteristic, complemented
97C2×C11⋊#95C2211yescharacteristic
98#10622607C2211yescharacteristic
99#10622607C2211yescharacteristic
100#10622607C2211yescharacteristic
101#10622605C2211yescharacteristic
102#10622605C2211yescharacteristic
103#10622604C2211yescharacteristic
104#10622603C2211yescharacteristic
105#10622603C2211yescharacteristic
106#10622603C2211yescharacteristic, complemented
107#10622602C2211yescharacteristic
108#10622602C2211yescharacteristic
109#10622601C2211yescharacteristic
110#10622601C2211yescharacteristic
111#10622598C2211yescharacteristic, complemented
112#10622597C2211yescharacteristic, complemented
113#10622597C2211yescharacteristic, complemented
114#10622594C2211yescharacteristic, complemented
115#10622594C2211yescharacteristic, complemented
116#10622592C2211yescharacteristic, complemented
117C4⋊C4×Dic11C2211yescharacteristic, complemented
118C4⋊C4×Dic11C2211yescharacteristic, complemented
119C4⋊C4×Dic11C2211yescharacteristic, complemented
120C4⋊C4×Dic11C2211yescharacteristic, complemented
121#10622586C2211yescharacteristic, complemented
122#10622574C2211yescharacteristic
123#10622574C2211yescharacteristic
124#10622574C2211yescharacteristic, complemented
125#10622573C2211yescharacteristic
126#10622573C2211yescharacteristic
127#10622573C2211yescharacteristic
128#10622572C2211yescharacteristic
129#10622572C2211yescharacteristic
130#10622572C2211yescharacteristic
131#10622571C2211yescharacteristic
132#10622571C2211yescharacteristic
133#10622571C2211yescharacteristic, complemented
134#10622570C2211yescharacteristic
135#10622570C2211yescharacteristic
136#10622570C2211yescharacteristic
137#10622570C2211yescharacteristic, complemented
138#10622568C2211yescharacteristic
139#10622565C2211yescharacteristic, complemented
140#10622564C2211yescharacteristic, complemented
141#10622564C2211yescharacteristic, complemented
142#10622563C2211yescharacteristic
143#10622558C2211yescharacteristic, complemented
144#10622557C2211yescharacteristic, complemented
145#10622555C2211yescharacteristic
146C22⋊C4×Dic11C2211yescharacteristic
147C22⋊C4×Dic11C2211yescharacteristic
148C22⋊C4×Dic11C2211yescharacteristic, complemented
149C22⋊C4×Dic11C2211yescharacteristic, complemented
150C22⋊C4×Dic11C2211yescharacteristic, complemented
151C22⋊C4×Dic11C2211yescharacteristic, complemented
152C22⋊C4×Dic11C2211yescharacteristic, complemented
153#10622553C2211yescharacteristic
154#10622552C2211yescharacteristic
155C4×C4⋊Dic11C2211yescharacteristic, complemented
156C42×Dic11C2211yescharacteristic, complemented
157#10622288C2211yescharacteristic
158#10622288C2211yescharacteristic, complemented
159#10622286C2211yescharacteristic
160#10622286C2211yescharacteristic, complemented
161#10622283C2211yescharacteristic
162#10622283C2211yescharacteristic, complemented
163#10622283C2211yescharacteristic, complemented
164#10622282C2211yescharacteristic
165#10622282C2211yescharacteristic, complemented
166#10622279C2211yescharacteristic
167#10622279C2211yescharacteristic
168#10622279C2211yescharacteristic
169#10622279C2211yescharacteristic
170#10622279C2211yescharacteristic
171#10622279C2211yescharacteristic
172#10622279C2211yescharacteristic
173#10622279C2211yescharacteristic
174#10622279C2211yescharacteristic
175#10622279C2211yescharacteristic
176#10622279C2211yescharacteristic, complemented
177#10622278C2211yescharacteristic
178#10622278C2211yescharacteristic
179#10622273C2211yescharacteristic, complemented
180#10622271C2211yescharacteristic, complemented
181#10622270C2211yescharacteristic, complemented
182#10622269C2211yescharacteristic, complemented
183#10622263C2211yescharacteristic, complemented
184#10622262C2211yescharacteristic, complemented
185#10622260C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187#10622259C2211yescharacteristic, complemented
188#10622259C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C22×D4×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
203C22×C22⋊D11C2311yescharacteristic
204C23×Dic11C2311yescharacteristic
205C23×Dic11C2311yescharacteristic
206C23×Dic11C2311yescharacteristic
207C23×Dic11C2311yescharacteristic
208C23×Dic11C2311yescharacteristic
209C23×Dic11C2311yescharacteristic
210C2×#4341—24no—
211C2×#4341—24no—
212C2×#4341—42no—
213C22×D44C2311yescharacteristic
214C22×D44C2311yescharacteristic
215C22×C4×D11—24no—
216C22×C4×D11—24no—
217C22×C4×D11—42no—
218C22×C4×D11C2311yescharacteristic
219C22×C4×D11C2311yescharacteristic
220C22×C4×D11C2311yescharacteristic
221C22×C4×D11C2311yescharacteristic
222C22×C4×D11C2311yescharacteristic
223C22×Dic22C2311yescharacteristic
224C22×Dic22C2311yescharacteristic
225C11×#123—24no—
226C11×#123—24no—
227C11×#121—24no—
228C4×D4×C11—24no—
229C2×C11×C4⋊C4C2311yescharacteristic
230C2×C11×C4⋊C4C2311yescharacteristic
231C2×C11×C4⋊C4C2311yescharacteristic
232C2×C11×C4⋊C4C2311yescharacteristic
233C2×C11×C4⋊C4C2311yescharacteristic
234C2×C11×C4⋊C4C2311yescharacteristic
235C2×C11×C4⋊C4C2311yescharacteristic
236C2×C11×C4⋊C4C2311yescharacteristic
237C2×C11×C22⋊C4C2311yescharacteristic
238C2×C11×C22⋊C4C2311yescharacteristic
239C2×C11×C22⋊C4C2311yescharacteristic
240C2×C11×C22⋊C4C2311yescharacteristic
241C2×C11×C22⋊C4C2311yescharacteristic
242C2×C11×C22⋊C4C2311yescharacteristic
243C2×C11×C22⋊C4C2311yescharacteristic
244C2×C11×C22⋊C4C2311yescharacteristic
245C2×C11×C22⋊C4C2311yescharacteristic
246C2×C11×C22⋊C4C2311yescharacteristic
247C2×C11×C22⋊C4C2311yescharacteristic
248C2×C42×C11C2311yescharacteristic
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
259#66992—24no—
260#66992—24no—
261#66991—24no—
262#66990—24no—
263#66990—24no—
264D4×Dic11—24no—
265D4×Dic11—24no—
266D4×Dic11D418yescomplemented
267#66983—24no—
268#66982—24no—
269C2×(C2×D11)⋊C4—24no—
270C2×(C2×D11)⋊C4—24no—
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
283C2×(C2×D11)⋊C4C2311yescharacteristic
284C2×(C2×D11)⋊C4C2311yescharacteristic
285C2×(C2×D11)⋊C4C2311yescharacteristic
286C2×(C2×D11)⋊C4C2311yescharacteristic
287C2×(C2×D11)⋊C4C2311yescharacteristic
288C2×(C2×D11)⋊C4C2311yescharacteristic
289C2×(C2×D11)⋊C4C2311yescharacteristic
290C2×(C2×D11)⋊C4C2311yescharacteristic
291C2×(C2×D11)⋊C4C2311yescharacteristic
292C2×(C2×D11)⋊C4C2311yescharacteristic
293C2×(C2×D11)⋊C4C2311yescharacteristic
294C2×(C2×D11)⋊C4C2311yescharacteristic
295C2×(C2×D11)⋊C4C2311yescharacteristic
296C2×(C2×D11)⋊C4C2311yescharacteristic
297C2×(C2×D11)⋊C4C2311yescharacteristic
298C2×C4⋊Dic11C2311yescharacteristic
299C2×C4⋊Dic11C2311yescharacteristic
300C2×C4⋊Dic11C2311yescharacteristic
301C2×C4⋊Dic11C2311yescharacteristic
302C2×C4⋊Dic11C2311yescharacteristic
303C2×C4⋊Dic11C2311yescharacteristic
304C2×C4⋊Dic11C2311yescharacteristic
305#66977—24no—
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×C4×Dic11—24no—
318C2×C4×Dic11—42no—
319C2×C4×Dic11—42no—
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
332C2×C4×Dic11C2311yescharacteristic
333C2×C4×Dic11C2311yescharacteristic
334C2×C4×Dic11C2311yescharacteristic
335C2×C4×Dic11C2311yescharacteristic
336C2×C4×Dic11C2311yescharacteristic
337C2×C4×Dic11C2311yescharacteristic
338#66951—24no—
339#66950—24no—
340#66946—24no—
341#66946—42no—
342#66945—24no—
343#66945—24no—
344#66942—24no—
345#66940—24no—
346#66938—24no—
347#66938—24no—
348#66936—24no—
349#66936—24no—
350#66935—24no—
351(C22⋊D11)⋊C4—24no—
352(C22⋊D11)⋊C4—24no—
353(C22⋊D11)⋊C4—24no—
354(C22⋊D11)⋊C4—24no—
355(C22⋊D11)⋊C4—42no—
356#66932—24no—
357#66931—24no—
358#66930—24no—
359C11×#95C2311yescharacteristic
360C11×#95C2311yescharacteristic
361C11×#95C2311yescharacteristic
362C11×#95C2311yescharacteristic
363C11×#95C2311yescharacteristic
364C11×#95C2311yescharacteristic
365C11×#95C2311yescharacteristic
366C11×#95C2311yescharacteristic
367C11⋊#95C2311yescharacteristic
368C11⋊#95C2311yescharacteristic
369C11⋊#95C2311yescharacteristic
370C11⋊#95C2311yescharacteristic
371C11⋊#95C2311yescharacteristic
372C11⋊#95C2311yescharacteristic
373C11⋊#95C2311yescharacteristic
374C11⋊#95C2311yescharacteristic
375C11⋊#95C2311yescharacteristic
376C11⋊#95C2311yescharacteristic
377C11⋊#95C2311yescharacteristic
378C11⋊#95C2311yescharacteristic
379C11⋊#95C2311yescharacteristic
380C11⋊#95C2311yescharacteristic
381C11⋊#95C2311yescharacteristic
382C11⋊#95C2311yescharacteristic
383C11⋊#95C2311yescharacteristic
384C11⋊#95C2311yescharacteristic
385C11⋊#95C2311yescharacteristic
386C11⋊#95C2311yescharacteristic
387C11⋊#95C2311yescharacteristic
388C11⋊#95C2311yescharacteristic
389C11⋊#95C2311yescharacteristic
390C11⋊#95C2311yescharacteristic
391#34829—111nomaximal, Sylow
392C24×C11C2411yescharacteristic
393C24×C11C2411yescharacteristic
394C24×C11C2411yescharacteristic
395C23×D11—22no—
396C23×D11—22no—
397C23×D11—22no—
398C23×D11—22no—
399C23×D11—22no—
400C23×D11—41no—
401C23×D11—41no—
402C23×D11C2411yescharacteristic
403C23×D11C2411yescharacteristic
404C23×D11C2411yescharacteristic
405C2×D4×C11—22no—
406C2×D4×C11—22no—
407C2×D4×C11—22no—
408C2×D4×C11—22no—
409C2×D4×C11—22no—
410C2×D4×C11—22no—
411C2×D4×C11—22no—
412C2×D4×C11—41no—
413C2×D4×C11C2×D414yes—
414C22×C4×C11—22no—
415C22×C4×C11—22no—
416C22×C4×C11—22no—
417C22×C4×C11—22no—
418C22×C4×C11—22no—
419C22×C4×C11—22no—
420C22×C4×C11—22no—
421C22×C4×C11—22no—
422C22×C4×C11—22no—
423C22×C4×C11—41no—
424C22×C4×C11—41no—
425C22×C4×C11—41no—
426C22×C4×C11C2411yescharacteristic
427C22×C4×C11C2411yescharacteristic
428C22×C4×C11C2411yescharacteristic
429C22×C4×C11C2411yescharacteristic
430C22×C4×C11C2411yescharacteristic
431C22×C4×C11C2411yescharacteristic
432C22×C4×C11C2411yescharacteristic
433C22×C4×C11C2411yescharacteristic
434C22×C4×C11C2411yescharacteristic
435C22×C4×C11C2411yescharacteristic
436C22×C4×C11C2411yescharacteristic
437C22×C4×C11C2411yescharacteristic
438C2×C22⋊D11—22no—
439C2×C22⋊D11—22no—
440C2×C22⋊D11—22no—
441C2×C22⋊D11—22no—
442C2×C22⋊D11—22no—
443C2×C22⋊D11—22no—
444C2×C22⋊D11—22no—
445C2×C22⋊D11—22no—
446C2×C22⋊D11—22no—
447C2×C22⋊D11—22no—
448C2×C22⋊D11—22no—
449C2×C22⋊D11—22no—
450C2×C22⋊D11—22no—
451C2×C22⋊D11—22no—
452C2×C22⋊D11—41no—
453C2×C22⋊D11—41no—
454C2×C22⋊D11—41no—
455C2×C22⋊D11—41no—
456C2×C22⋊D11—41no—
457C2×C22⋊D11—41no—
458C2×C22⋊D11—41no—
459C22×Dic11—22no—
460C22×Dic11—22no—
461C22×Dic11—22no—
462C22×Dic11—22no—
463C22×Dic11—22no—
464C22×Dic11—22no—
465C22×Dic11—22no—
466C22×Dic11—22no—
467C22×Dic11—22no—
468C22×Dic11—22no—
469C22×Dic11—41no—
470C22×Dic11—41no—
471C22×Dic11—41no—
472C22×Dic11—41no—
473C22×Dic11—41no—
474C22×Dic11C2×D414yes—
475C22×Dic11C2×D414yes—
476C22×Dic11#4114yescomplemented
477C22×Dic11C2411yescharacteristic
478C22×Dic11C2411yescharacteristic
479C22×Dic11C2411yescharacteristic
480C22×Dic11C2411yescharacteristic
481C22×Dic11C2411yescharacteristic
482C22×Dic11C2411yescharacteristic
483C22×Dic11C2411yescharacteristic
484C22×Dic11C2411yescharacteristic
485C22×Dic11C2411yescharacteristic
486C22×Dic11C2411yescharacteristic
487C22×Dic11C2411yescharacteristic
488C22×Dic11C2411yescharacteristic
489C22×Dic11C2411yescharacteristic
490#4341—416no—
491C2×D44—22no—
492C2×D44—22no—
493C2×D44—22no—
494C2×D44—22no—
495C2×D44—41no—
496C2×D44—41no—
497C2×C4×D11—22no—
498C2×C4×D11—22no—
499C2×C4×D11—22no—
500C2×C4×D11—22no—
501C2×C4×D11—22no—
502C2×C4×D11—22no—
503C2×C4×D11—22no—
504C2×C4×D11—22no—
505C2×C4×D11—22no—
506C2×C4×D11—22no—
507C2×C4×D11—22no—
508C2×C4×D11—22no—
509C2×C4×D11—41no—
510C2×C4×D11—41no—
511C2×C4×D11—416no—
512C2×C4×D11#4114yes—
513C2×Dic22—22no—
514C2×Dic22—22no—
515C2×Dic22—22no—
516C2×Dic22—22no—
517C2×Dic22—41no—
518C2×Dic22—41no—
519C11×C4⋊C4—22no—
520C11×C4⋊C4—22no—
521C11×C4⋊C4—22no—
522C11×C4⋊C4—22no—
523C11×C4⋊C4—22no—
524C11×C4⋊C4—22no—
525C11×C4⋊C4—22no—
526C11×C4⋊C4—41no—
527C11×C22⋊C4—22no—
528C11×C22⋊C4—22no—
529C11×C22⋊C4—22no—
530C11×C22⋊C4—22no—
531C11×C22⋊C4—22no—
532C11×C22⋊C4—22no—
533C11×C22⋊C4—22no—
534C11×C22⋊C4—22no—
535C11×C22⋊C4—22no—
536C11×C22⋊C4—41no—
537C11×C22⋊C4#4114yescomplemented
538C42×C11—22no—
539C22⋊Dic11—22no—
540C22⋊Dic11—22no—
541C22⋊Dic11—22no—
542C22⋊Dic11—22no—
543C22⋊Dic11—22no—
544C22⋊Dic11—22no—
545C22⋊Dic11—22no—
546C22⋊Dic11—41no—
547C22⋊Dic11C2×D414yes—
548C22⋊Dic11C2×D414yes—
549(C2×D11)⋊C4—22no—
550(C2×D11)⋊C4—22no—
551(C2×D11)⋊C4—22no—
552(C2×D11)⋊C4—22no—
553(C2×D11)⋊C4—22no—
554(C2×D11)⋊C4—22no—
555(C2×D11)⋊C4—22no—
556(C2×D11)⋊C4—22no—
557(C2×D11)⋊C4—22no—
558(C2×D11)⋊C4—22no—
559(C2×D11)⋊C4—22no—
560(C2×D11)⋊C4—22no—
561(C2×D11)⋊C4—22no—
562(C2×D11)⋊C4—22no—
563(C2×D11)⋊C4—22no—
564(C2×D11)⋊C4—22no—
565(C2×D11)⋊C4—22no—
566(C2×D11)⋊C4—22no—
567(C2×D11)⋊C4—22no—
568(C2×D11)⋊C4—22no—
569(C2×D11)⋊C4—22no—
570(C2×D11)⋊C4—22no—
571(C2×D11)⋊C4—41no—
572(C2×D11)⋊C4—41no—
573(C2×D11)⋊C4—41no—
574(C2×D11)⋊C4—41no—
575(C2×D11)⋊C4#4114yescomplemented
576C4⋊Dic11—22no—
577C4⋊Dic11—22no—
578C4⋊Dic11—22no—
579C4⋊Dic11—22no—
580C4⋊Dic11—22no—
581C4⋊Dic11—41no—
582C4⋊Dic11C2×D414yes—
583Dic11⋊C4—22no—
584Dic11⋊C4—22no—
585Dic11⋊C4—22no—
586Dic11⋊C4—22no—
587Dic11⋊C4—22no—
588Dic11⋊C4—22no—
589Dic11⋊C4—22no—
590Dic11⋊C4—22no—
591Dic11⋊C4—22no—
592Dic11⋊C4—41no—
593Dic11⋊C4—41no—
594C4×Dic11—22no—
595C4×Dic11—22no—
596C4×Dic11—22no—
597C4×Dic11—22no—
598C4×Dic11—22no—
599C4×Dic11—22no—
600C4×Dic11—22no—
601C4×Dic11—22no—
602C4×Dic11—22no—
603C4×Dic11—22no—
604C4×Dic11—22no—
605C4×Dic11—22no—
606C4×Dic11—41no—
607C4×Dic11—41no—
608C4×Dic11—41no—
609C4×Dic11—41no—
610C4×Dic11—41no—
611C4×Dic11C2×D414yes—
612C2×#529—111no—
613C2×#525—111no—
614#2560—111no—
615#2559—111no—
616#2558—111no—
617#2557—111no—
618#2556—111no—
619#2555—111no—
620#2554—111no—
621#2553—111no—
622#2549—111no—
623#2543—111no—
624#2539—111no—
625#2534—111no—
626#2488—111no—
627#2472—111no—
628#2425D1111yescharacteristic, complemented
629#2424—111no—
630#2396—111no—
631#2395—111no—
632#2392—111no—
633#2388—111no—
634C4×#124—111no—
635C4×#123—111no—
636C4×#121—111no—
637C4×#121—111no—
638C4×#120—111no—
639#2297—111no—
640#2293—111no—
641C42×D4—111no—
642C2×C4×C22⋊C4—111no—
643C23×C11—21no—
644C23×C11—21no—
645C23×C11—21no—
646C23×C11—21no—
647C23×C11—21no—
648C23×C11—21no—
649C23×C11—21no—
650C23×C11—21no—
651C23×C11—21no—
652C23×C11—21no—
653C23×C11—21no—
654C23×C11—21no—
655C23×C11—21no—
656C23×C11—21no—
657C23×C11—21no—
658C23×C11—21no—
659C23×C11—21no—
660C23×C11C22×D412yes—
661C23×C11C22×D412yes—
662C23×C11C2×#4112yes—
663C23×C11C2×#4112yes—
664C23×C11C2511yescharacteristic
665C22×D11—28no—
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×D11—21no—
677C22×D11—21no—
678C22×D11—21no—
679C22×D11—21no—
680C22×D11—21no—
681C22×D11—21no—
682C22×D11—21no—
683C22×D11—21no—
684C22×D11—21no—
685C22×D11—44no—
686C22×D11—44no—
687C22×D11—44no—
688C22×D11—44no—
689C22×D11—44no—
690C22×D11—44no—
691C22×D11C2×#4112yes—
692C22×D11C2×#4112yes—
693D4×C11—28no—
694D4×C11—44no—
695D4×C11—44no—
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—21no—
712C2×C4×C11—21no—
713C2×C4×C11—21no—
714C2×C4×C11—21no—
715C2×C4×C11—21no—
716C2×C4×C11—21no—
717C2×C4×C11—21no—
718C2×C4×C11—21no—
719C2×C4×C11—21no—
720C2×C4×C11—21no—
721C2×C4×C11—21no—
722C2×C4×C11—21no—
723C2×C4×C11—21no—
724C2×C4×C11—21no—
725C2×C4×C11—21no—
726C2×C4×C11—21no—
727C2×C4×C11—44no—
728C2×C4×C11—44no—
729C2×C4×C11—44no—
730C2×C4×C11—44no—
731C2×C4×C11C22×D412yes—
732C2×C4×C11C2×#4112yes—
733C2×C4×C11C2×#4112yes—
734C2×C4×C11C2×#4112yes—
735C2×C4×C11C2×#4112yes—
736C22⋊D11—44no—
737C22⋊D11—44no—
738C22⋊D11—44no—
739C22⋊D11—44no—
740C22⋊D11—44no—
741C22⋊D11—44no—
742C22⋊D11—44no—
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—28no—
756C2×Dic11—28no—
757C2×Dic11—21no—
758C2×Dic11—21no—
759C2×Dic11—21no—
760C2×Dic11—21no—
761C2×Dic11—21no—
762C2×Dic11—21no—
763C2×Dic11—21no—
764C2×Dic11—21no—
765C2×Dic11—21no—
766C2×Dic11—21no—
767C2×Dic11—21no—
768C2×Dic11—21no—
769C2×Dic11—21no—
770C2×Dic11—21no—
771C2×Dic11—21no—
772C2×Dic11—21no—
773C2×Dic11—21no—
774C2×Dic11—21no—
775C2×Dic11—44no—
776C2×Dic11—44no—
777C2×Dic11—44no—
778C2×Dic11—44no—
779C2×Dic11C22×D412yes—
780C2×Dic11C22×D412yes—
781C2×Dic11C22×D412yes—
782C2×Dic11C22×D412yes—
783C2×Dic11C2×#4112yes—
784C2×Dic11C2×#4112yes—
785C2×Dic11C2×#4112yes—
786C2×Dic11C2×#4112yes—
787C2×Dic11H(5,𝔽2)12yes—
788D44—44no—
789D44—44no—
790C4×D11—28no—
791C4×D11—44no—
792C4×D11—44no—
793C4×D11—44no—
794C4×D11—44no—
795Dic22—44no—
796Dic22—44no—
797C22×#41—111no—
798C24×C4—111no—
799#529—228no—
800C2×#126—111no—
801C2×#126—111no—
802C2×#125—111no—
803C2×#124—111no—
804C2×#124—111no—
805#525—228no—
806C2×#123—111no—
807C2×#123—111no—
808C2×#123—111no—
809C2×#123C2×D1111yescharacteristic
810C2×#123C2×D1111yescharacteristic
811C2×C22⋊Q8—111no—
812C2×C22⋊Q8—111no—
813C2×C22⋊Q8—111no—
814C2×#121—111no—
815C2×#121—111no—
816C2×#121—111no—
817C2×#121—111no—
818C2×#121C2×D1111yescharacteristic
819C2×#120—111no—
820C2×#120—111no—
821C2×#120—111no—
822C2×C4×Q8—111no—
823C2×C4×D4—111no—
824C2×C4×D4—111no—
825C2×C4×D4—111no—
826C2×C4×D4—111no—
827C2×C4×D4—111no—
828C2×C4×D4—111no—
829C2×C4×D4—111no—
830C2×C4×D4—111no—
831C2×C4×D4—111no—
832C2×C4×D4—111no—
833C2×C4×D4C2×D1111yescharacteristic
834C2×#117—111no—
835C2×#117—111no—
836C2×#117—111no—
837C22×C22⋊C4—111no—
838C22×C22⋊C4—111no—
839C22×C42—111no—
840C22×C42—111no—
841C22×C42—111no—
842#400—111no—
843#400—111no—
844#399—111no—
845#399—111no—
846#398—111no—
847#398—111no—
848#398—111no—
849#398C2×D1111yescharacteristic, complemented
850#397—111no—
851#397—111no—
852#397—111no—
853#397C2×D1111yescharacteristic, complemented
854#396—111no—
855#396—111no—
856#396—111no—
857#396C2×D1111yescharacteristic, complemented
858#395—111no—
859#395—111no—
860#394—111no—
861#394—111no—
862#394—111no—
863#394—111no—
864#394—111no—
865#394—111no—
866#394—111no—
867#394C2×D1111yescharacteristic, complemented
868#393—111no—
869#393—111no—
870#392—111no—
871#392—111no—
872#392—111no—
873#392—111no—
874#391—111no—
875#391—111no—
876#391—111no—
877#390—111no—
878#390—111no—
879#390—111no—
880#390—111no—
881#390—111no—
882#390—111no—
883#390—111no—
884#389—111no—
885#389—111no—
886#389—111no—
887#389C2×D1111yescharacteristic, complemented
888#388—111no—
889#388—111no—
890#388—111no—
891#388—111no—
892#388—111no—
893#388—111no—
894#388—111no—
895#388—111no—
896#388—111no—
897#388—111no—
898#388—111no—
899#388—111no—
900#388—111no—
901#388C2×D1111yescharacteristic, complemented
902#387—111no—
903#387—111no—
904#386—111no—
905#386—111no—
906#386—111no—
907#386—111no—
908#386—111no—
909#386—111no—
910#386—111no—
911#386—111no—
912#386—111no—
913#386—111no—
914#386C2×D1111yescharacteristic
915#386C2×D1111yescharacteristic, complemented
916#385—111no—
917#385—111no—
918#385—111no—
919#385C2×D1111yescharacteristic
920#382—111no—
921#381—111no—
922#380—111no—
923#380C2×D1111yescharacteristic, complemented
924#379—111no—
925C4×C4⋊C4—111no—
926C4×C4⋊C4—111no—
927C4×C4⋊C4—111no—
928C4×C4⋊C4—111no—
929C4×C4⋊C4—111no—
930C4×C4⋊C4—111no—
931C4×C22⋊C4—111no—
932C4×C22⋊C4—111no—
933C4×C22⋊C4—111no—
934C4×C22⋊C4—111no—
935C4×C22⋊C4—111no—
936C4×C22⋊C4—111no—
937C4×C22⋊C4—111no—
938C4×C22⋊C4—111no—
939C4×C22⋊C4—111no—
940C4×C22⋊C4—111no—
941C4×C22⋊C4—111no—
942C4×C22⋊C4—111no—
943C4×C22⋊C4—111no—
944C4×C22⋊C4—111no—
945C4×C22⋊C4—111no—
946C4×C22⋊C4—111no—
947C4×C22⋊C4—111no—
948C4×C22⋊C4—111no—
949C4×C22⋊C4—111no—
950C4×C22⋊C4—111no—
951C2×#95—111no—
952C2×#95C2×D1111yescharacteristic
953C43—111no—
954C22×C11—22no—
955C22×C11—22no—
956C22×C11—22no—
957C22×C11—22no—
958C22×C11—22no—
959C22×C11—22no—
960C22×C11—22no—
961C22×C11—22no—
962C22×C11—22no—
963C22×C11—41no—
964C22×C11—41no—
965C22×C11—41no—
966C22×C11—41no—
967C22×C11—41no—
968C22×C11—41no—
969C22×C11—41no—
970C22×C11—41no—
971C22×C11—41no—
972C22×C11—41no—
973C22×C11—41no—
974C22×C11#53214yes—
975C22×C11C23×D411yescharacteristic
976C22×C11C22×#4111yescharacteristic
977C22×C11C22×#4111yescharacteristic
978C22×C11C22×#4111yescharacteristic
979C22×C11C22×#4111yescharacteristic
980C22×C11C2×H(5,𝔽2)11yescharacteristic
981C22×C11#58511yescharacteristic
982C2×D11—22no—
983C2×D11—22no—
984C2×D11—22no—
985C2×D11—22no—
986C2×D11—22no—
987C2×D11—22no—
988C2×D11—416no—
989C2×D11—41no—
990C2×D11—41no—
991C2×D11—41no—
992C2×D11—41no—
993C2×D11—41no—
994C2×D11—41no—
995C2×D11—41no—
996C2×D11—41no—
997C2×D11—41no—
998C2×D11—41no—
999C2×D11—41no—
1000C2×D11—41no—
1001C2×D11—41no—
1002C2×D11—41no—
1003C2×D11—41no—
1004C4×C11—22no—
1005C4×C11—22no—
1006C4×C11—22no—
1007C4×C11—22no—
1008C4×C11—22no—
1009C4×C11—41no—
1010C4×C11—41no—
1011C4×C11—41no—
1012C4×C11—41no—
1013C4×C11—41no—
1014C4×C11—41no—
1015C4×C11—41no—
1016Dic11—22no—
1017Dic11—22no—
1018Dic11—22no—
1019Dic11—22no—
1020Dic11—22no—
1021Dic11—22no—
1022Dic11—41no—
1023Dic11—41no—
1024Dic11—41no—
1025Dic11—41no—
1026Dic11—41no—
1027Dic11—41no—
1028Dic11#54614yes—
1029C25—111no—
1030C2×#41—224no—
1031C2×#41—224no—
1032C2×#41—442no—
1033C22×Q8—111no—
1034C22×Q8—111no—
1035C22×D4—111no—
1036C22×D4—111no—
1037C22×D4—111no—
1038C22×D4—111no—
1039C22×D4—111no—
1040C22×D4—111no—
1041C22×D4—111no—
1042C22×D4—111no—
1043C22×D4—111no—
1044C22×D4C22×D1111yescharacteristic
1045C22×D4C22×D1111yescharacteristic
1046C22×D4C22×D1111yescharacteristic
1047C23×C4—111no—
1048C23×C4—111no—
1049C23×C4—111no—
1050C23×C4—111no—
1051C23×C4—111no—
1052C23×C4—111no—
1053C23×C4—111no—
1054C23×C4—111no—
1055C23×C4—111no—
1056C23×C4—111no—
1057C23×C4—111no—
1058C23×C4—224no—
1059C23×C4—224no—
1060C23×C4—442no—
1061C23×C4C22×D1111yescharacteristic
1062C23×C4C22×D1111yescharacteristic
1063C23×C4C22×D1111yescharacteristic
1064C23×C4C22×D1111yescharacteristic
1065#126—224no—
1066#126—224no—
1067#125—224no—
1068#124—224no—
1069#124—224no—
1070#123—24no—
1071#123—24no—
1072#123—224no—
1073#123—224no—
1074#123—224no—
1075C22⋊Q8—224no—
1076C22⋊Q8—224no—
1077C22⋊Q8—224no—
1078#121—24no—
1079#121—224no—
1080#121—224no—
1081#121—224no—
1082#121—224no—
1083#120—224no—
1084#120—224no—
1085#120—224no—
1086C4×Q8—224no—
1087C4×D4—24no—
1088C4×D4—118no—
1089C4×D4—224no—
1090C4×D4—224no—
1091C4×D4—224no—
1092C4×D4—224no—
1093C4×D4—224no—
1094C4×D4—224no—
1095C4×D4—224no—
1096C4×D4—442no—
1097C4×D4—442no—
1098#117—224no—
1099#117—224no—
1100#117—224no—
1101C2×C4⋊C4—111no—
1102C2×C4⋊C4—111no—
1103C2×C4⋊C4—111no—
1104C2×C4⋊C4—111no—
1105C2×C4⋊C4—111no—
1106C2×C4⋊C4—111no—
1107C2×C4⋊C4—111no—
1108C2×C4⋊C4—111no—
1109C2×C4⋊C4—111no—
1110C2×C4⋊C4—111no—
1111C2×C4⋊C4—111no—
1112C2×C4⋊C4—111no—
1113C2×C4⋊C4—111no—
1114C2×C4⋊C4—111no—
1115C2×C4⋊C4—111no—
1116C2×C4⋊C4—111no—
1117C2×C4⋊C4—111no—
1118C2×C4⋊C4—111no—
1119C2×C4⋊C4C22×D1111yescharacteristic
1120C2×C4⋊C4C22×D1111yescharacteristic
1121C2×C4⋊C4C22×D1111yescharacteristic
1122C2×C4⋊C4C22×D1111yescharacteristic
1123C2×C4⋊C4C22×D1111yescharacteristic
1124C2×C4⋊C4C22×D1111yescharacteristic
1125C2×C4⋊C4C22×D1111yescharacteristic
1126C2×C4⋊C4C22×D1111yescharacteristic
1127C2×C22⋊C4—111no—
1128C2×C22⋊C4—111no—
1129C2×C22⋊C4—111no—
1130C2×C22⋊C4—111no—
1131C2×C22⋊C4—111no—
1132C2×C22⋊C4—111no—
1133C2×C22⋊C4—111no—
1134C2×C22⋊C4—111no—
1135C2×C22⋊C4—111no—
1136C2×C22⋊C4—111no—
1137C2×C22⋊C4—111no—
1138C2×C22⋊C4—111no—
1139C2×C22⋊C4—111no—
1140C2×C22⋊C4—111no—
1141C2×C22⋊C4—111no—
1142C2×C22⋊C4—111no—
1143C2×C22⋊C4—111no—
1144C2×C22⋊C4—111no—
1145C2×C22⋊C4—111no—
1146C2×C22⋊C4—111no—
1147C2×C22⋊C4—111no—
1148C2×C22⋊C4—111no—
1149C2×C22⋊C4—111no—
1150C2×C22⋊C4—111no—
1151C2×C22⋊C4—111no—
1152C2×C22⋊C4—111no—
1153C2×C22⋊C4—111no—
1154C2×C22⋊C4—111no—
1155C2×C22⋊C4—111no—
1156C2×C22⋊C4—111no—
1157C2×C22⋊C4—111no—
1158C2×C22⋊C4—111no—
1159C2×C22⋊C4—111no—
1160C2×C22⋊C4—111no—
1161C2×C22⋊C4—111no—
1162C2×C22⋊C4—111no—
1163C2×C22⋊C4—111no—
1164C2×C22⋊C4—224no—
1165C2×C22⋊C4—224no—
1166C2×C22⋊C4C22×D1111yescharacteristic
1167C2×C22⋊C4C22×D1111yescharacteristic
1168C2×C22⋊C4C22×D1111yescharacteristic
1169C2×C22⋊C4C22×D1111yescharacteristic
1170C2×C22⋊C4C22×D1111yescharacteristic
1171C2×C22⋊C4C22×D1111yescharacteristic
1172C2×C22⋊C4C22×D1111yescharacteristic
1173C2×C22⋊C4C22×D1111yescharacteristic
1174C2×C22⋊C4C22×D1111yescharacteristic
1175C2×C22⋊C4C22×D1111yescharacteristic
1176C2×C22⋊C4C22×D1111yescharacteristic
1177C2×C42—111no—
1178C2×C42—111no—
1179C2×C42—111no—
1180C2×C42—111no—
1181C2×C42—111no—
1182C2×C42—111no—
1183C2×C42—111no—
1184C2×C42—111no—
1185C2×C42—111no—
1186C2×C42—111no—
1187C2×C42—111no—
1188C2×C42—111no—
1189C2×C42—111no—
1190C2×C42—111no—
1191C2×C42—111no—
1192C2×C42—111no—
1193C2×C42—111no—
1194C2×C42—111no—
1195C2×C42—224no—
1196C2×C42—442no—
1197C2×C42—442no—
1198C2×C42C22×D1111yescharacteristic
1199#95—111no—
1200#95—111no—
1201#95—111no—
1202#95—111no—
1203#95—111no—
1204#95—111no—
1205#95—111no—
1206#95—111no—
1207#95—111no—
1208#95—111no—
1209#95—111no—
1210#95—111no—
1211#95—111no—
1212#95—111no—
1213#95—111no—
1214#95—111no—
1215#95—111no—
1216#95—111no—
1217#95—111no—
1218#95—111no—
1219#95—111no—
1220#95—111no—
1221#95—111no—
1222#95—111no—
1223#95C22×D1111yescharacteristic
1224#95C22×D1111yescharacteristic
1225#95C22×D1111yescharacteristic
1226#95C22×D1111yescharacteristic
1227#95C22×D1111yescharacteristic
1228#95C22×D1111yescharacteristic
1229#95C22×D1111yescharacteristic
1230#95C22×D1111yescharacteristic
1231C2×C11—24no—
1232C2×C11—42no—
1233C2×C11—81no—
1234C2×C11C2×#53211yescharacteristic
1235C2×C11#344411yescharacteristic
1236C2×C11#345911yescharacteristic
1237C2×C11C2×#54611yescharacteristic
1238C2×C11D4×#4111yescharacteristic
1239C2×C11#347511yescharacteristic
1240C2×C11#348111yescharacteristic
1241D11—42no—
1242D11—42no—
1243D11—81no—
1244C24—111no—
1245C24—111no—
1246C24—111no—
1247C24—222no—
1248C24—222no—
1249C24—222no—
1250C24—222no—
1251C24—222no—
1252C24—441no—
1253C24—441no—
1254C24C23×D1111yescharacteristic
1255C24C23×D1111yescharacteristic
1256C24C23×D1111yescharacteristic
1257#41—4416no—
1258C2×Q8—222no—
1259C2×Q8—222no—
1260C2×Q8—222no—
1261C2×Q8—222no—
1262C2×Q8—441no—
1263C2×Q8—441no—
1264C2×D4—22no—
1265C2×D4—22no—
1266C2×D4—22no—
1267C2×D4—22no—
1268C2×D4—22no—
1269C2×D4—22no—
1270C2×D4—22no—
1271C2×D4—41no—
1272C2×D4—222no—
1273C2×D4—222no—
1274C2×D4—222no—
1275C2×D4—222no—
1276C2×D4—222no—
1277C2×D4—222no—
1278C2×D4—222no—
1279C2×D4—222no—
1280C2×D4—222no—
1281C2×D4—222no—
1282C2×D4—222no—
1283C2×D4—222no—
1284C2×D4—222no—
1285C2×D4—222no—
1286C2×D4—222no—
1287C2×D4—222no—
1288C2×D4—222no—
1289C2×D4—222no—
1290C2×D4—441no—
1291C2×D4—441no—
1292C2×D4—441no—
1293C2×D4—441no—
1294C2×D4—441no—
1295C2×D4—441no—
1296C2×D4—441no—
1297C2×D4—441no—
1298C2×D4—441no—
1299C2×D4D4×D1114yes—
1300C22×C4—22no—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—41no—
1310C22×C4—41no—
1311C22×C4—41no—
1312C22×C4—111no—
1313C22×C4—114no—
1314C22×C4—114no—
1315C22×C4—111no—
1316C22×C4—111no—
1317C22×C4—111no—
1318C22×C4—111no—
1319C22×C4—111no—
1320C22×C4—111no—
1321C22×C4—114no—
1322C22×C4—114no—
1323C22×C4—111no—
1324C22×C4—111no—
1325C22×C4—111no—
1326C22×C4—111no—
1327C22×C4—111no—
1328C22×C4—111no—
1329C22×C4—222no—
1330C22×C4—222no—
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—441no—
1352C22×C4—441no—
1353C22×C4—4416no—
1354C22×C4—441no—
1355C22×C4—441no—
1356C22×C4—441no—
1357C22×C4—441no—
1358C22×C4—441no—
1359C22×C4C23×D1111yescharacteristic
1360C22×C4C23×D1111yescharacteristic
1361C22×C4C23×D1111yescharacteristic
1362C22×C4C23×D1111yescharacteristic
1363C22×C4C23×D1111yescharacteristic
1364C22×C4C23×D1111yescharacteristic
1365C22×C4C23×D1111yescharacteristic
1366C22×C4C23×D1111yescharacteristic
1367C22×C4C23×D1111yescharacteristic
1368C22×C4C23×D1111yescharacteristic
1369C22×C4C23×D1111yescharacteristic
1370C22×C4C23×D1111yescharacteristic
1371C4⋊C4—22no—
1372C4⋊C4—22no—
1373C4⋊C4—22no—
1374C4⋊C4—22no—
1375C4⋊C4—22no—
1376C4⋊C4—22no—
1377C4⋊C4—22no—
1378C4⋊C4—41no—
1379C4⋊C4—114no—
1380C4⋊C4—222no—
1381C4⋊C4—222no—
1382C4⋊C4—222no—
1383C4⋊C4—222no—
1384C4⋊C4—222no—
1385C4⋊C4—222no—
1386C4⋊C4—222no—
1387C4⋊C4—222no—
1388C4⋊C4—222no—
1389C4⋊C4—222no—
1390C4⋊C4—222no—
1391C4⋊C4—222no—
1392C4⋊C4—222no—
1393C4⋊C4—222no—
1394C4⋊C4—441no—
1395C4⋊C4—441no—
1396C4⋊C4—441no—
1397C22⋊C4—22no—
1398C22⋊C4—22no—
1399C22⋊C4—22no—
1400C22⋊C4—22no—
1401C22⋊C4—22no—
1402C22⋊C4—22no—
1403C22⋊C4—22no—
1404C22⋊C4—22no—
1405C22⋊C4—22no—
1406C22⋊C4—41no—
1407C22⋊C4—114no—
1408C22⋊C4—114no—
1409C22⋊C4—114no—
1410C22⋊C4—222no—
1411C22⋊C4—222no—
1412C22⋊C4—222no—
1413C22⋊C4—222no—
1414C22⋊C4—222no—
1415C22⋊C4—222no—
1416C22⋊C4—222no—
1417C22⋊C4—222no—
1418C22⋊C4—222no—
1419C22⋊C4—222no—
1420C22⋊C4—222no—
1421C22⋊C4—222no—
1422C22⋊C4—222no—
1423C22⋊C4—222no—
1424C22⋊C4—222no—
1425C22⋊C4—222no—
1426C22⋊C4—222no—
1427C22⋊C4—222no—
1428C22⋊C4—222no—
1429C22⋊C4—222no—
1430C22⋊C4—222no—
1431C22⋊C4—222no—
1432C22⋊C4—222no—
1433C22⋊C4—222no—
1434C22⋊C4—222no—
1435C22⋊C4—222no—
1436C22⋊C4—222no—
1437C22⋊C4—222no—
1438C22⋊C4—222no—
1439C22⋊C4—441no—
1440C22⋊C4—441no—
1441C22⋊C4—441no—
1442C22⋊C4—441no—
1443C22⋊C4—441no—
1444C22⋊C4#434114yescomplemented
1445C42—22no—
1446C42—114no—
1447C42—222no—
1448C42—222no—
1449C42—222no—
1450C42—222no—
1451C42—222no—
1452C42—222no—
1453C42—222no—
1454C42—222no—
1455C42—222no—
1456C42—222no—
1457C42—222no—
1458C42—222no—
1459C42—441no—
1460C42—441no—
1461C42—441no—
1462C42—441no—
1463C42—441no—
1464C11#3482911yescharacteristic, complemented, Sylow
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—112no—
1483C23—112no—
1484C23—228no—
1485C23—221no—
1486C23—221no—
1487C23—221no—
1488C23—221no—
1489C23—221no—
1490C23—221no—
1491C23—221no—
1492C23—221no—
1493C23—221no—
1494C23—221no—
1495C23—221no—
1496C23—221no—
1497C23—221no—
1498C23—221no—
1499C23—221no—
1500C23—221no—
1501C23—221no—
1502C23—221no—
1503C23—221no—
1504C23—444no—
1505C23—444no—
1506C23—444no—
1507C23—444no—
1508C23—444no—
1509C23—444no—
1510C23C2×D4×D1112yes—
1511C23C2×D4×D1112yes—
1512C23C2×#434112yes—
1513C23#41×D1112yes—
1514C23C24×D1111yescharacteristic
1515Q8—444no—
1516Q8—444no—
1517D4—28no—
1518D4—44no—
1519D4—44no—
1520D4—444no—
1521D4—444no—
1522D4—444no—
1523D4—444no—
1524D4—444no—
1525D4—444no—
1526D4—444no—
1527D4—444no—
1528D4—444no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—44no—
1561C2×C4—44no—
1562C2×C4—44no—
1563C2×C4—44no—
1564C2×C4—112no—
1565C2×C4—112no—
1566C2×C4—112no—
1567C2×C4—112no—
1568C2×C4—112no—
1569C2×C4—112no—
1570C2×C4—112no—
1571C2×C4—112no—
1572C2×C4—112no—
1573C2×C4—228no—
1574C2×C4—228no—
1575C2×C4—228no—
1576C2×C4—221no—
1577C2×C4—221no—
1578C2×C4—221no—
1579C2×C4—221no—
1580C2×C4—221no—
1581C2×C4—221no—
1582C2×C4—221no—
1583C2×C4—221no—
1584C2×C4—221no—
1585C2×C4—221no—
1586C2×C4—221no—
1587C2×C4—221no—
1588C2×C4—221no—
1589C2×C4—221no—
1590C2×C4—221no—
1591C2×C4—221no—
1592C2×C4—221no—
1593C2×C4—221no—
1594C2×C4—221no—
1595C2×C4—221no—
1596C2×C4—221no—
1597C2×C4—221no—
1598C2×C4—221no—
1599C2×C4—221no—
1600C2×C4—221no—
1601C2×C4—221no—
1602C2×C4—221no—
1603C2×C4—221no—
1604C2×C4—221no—
1605C2×C4—221no—
1606C2×C4—444no—
1607C2×C4—444no—
1608C2×C4—444no—
1609C2×C4—444no—
1610C2×C4—444no—
1611C2×C4—444no—
1612C2×C4—444no—
1613C2×C4—444no—
1614C2×C4C2×D4×D1112yes—
1615C2×C4C2×#434112yes—
1616C2×C4C2×#434112yes—
1617C2×C4#41×D1112yes—
1618C2×C4#41×D1112yes—
1619C22—22no—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—22no—
1624C22—22no—
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—222no—
1640C22—222no—
1641C22—222no—
1642C22—222no—
1643C22—222no—
1644C22—222no—
1645C22—4416no—
1646C22—441no—
1647C22—441no—
1648C22—441no—
1649C22—441no—
1650C22—441no—
1651C22—441no—
1652C22—441no—
1653C22—441no—
1654C22—441no—
1655C22—441no—
1656C22—441no—
1657C22—441no—
1658C22—441no—
1659C22—441no—
1660C22—441no—
1661C22#1062312714yes—
1662C22C22×D4×D1111yescharacteristic
1663C22C22×#434111yescharacteristic
1664C22C2×#41×D1111yescharacteristic
1665C22C2×#41×D1111yescharacteristic
1666C22C2×#41×D1111yescharacteristic
1667C22D11×H(5,𝔽2)11yescharacteristic
1668C22#1062345711yescharacteristic
1669C4—22no—
1670C4—22no—
1671C4—22no—
1672C4—22no—
1673C4—22no—
1674C4—41no—
1675C4—41no—
1676C4—41no—
1677C4—41no—
1678C4—41no—
1679C4—41no—
1680C4—41no—
1681C4—114no—
1682C4—222no—
1683C4—222no—
1684C4—222no—
1685C4—222no—
1686C4—222no—
1687C4—222no—
1688C4—441no—
1689C4—441no—
1690C4—441no—
1691C4—441no—
1692C4—441no—
1693C4—441no—
1694C2—24no—
1695C2—42no—
1696C2—81no—
1697C2—442no—
1698C2—442no—
1699C2—881no—
1700C2C2×#1062312711yescharacteristic
1701C2#1308191011yescharacteristic
1702C2#1308202411yescharacteristic
1703C2D11×#54611yescharacteristic
1704C2#1308210311yescharacteristic
1705C2#1308217911yescharacteristic
1706C2#1308222111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2425C2
hypercenter#2425D11
hypocenterC11#34829
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2425

Complements

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

NH ≅ G/Ntype
1. C2×#10623180C2semidirect
2. C2×#10623137C2semidirect
3. #13073755C2semidirect
4. #13073740C2semidirect
5. #13073725C2semidirect
6. #13073710C2semidirect
7. #13073697C2semidirect
8. #13073688C2semidirect
9. #13073675C2semidirect
10. #13073660C2semidirect
11. #13073629C2semidirect
12. #13073574C2semidirect
13. #13073546C2semidirect
14. #13073505C2semidirect
15. #13072942C2semidirect
16. #13072744C2semidirect
17. #13072146C2semidirect
18. #13071893C2semidirect
19. #13071874C2semidirect
20. #13071861C2semidirect
21. #13071830C2semidirect
22. #13071157C2semidirect
23. #123×Dic11C2semidirect
24. #13071126C2semidirect
25. #13071122C2semidirect
26. #13071117C2semidirect
27. #13071101C2semidirect
28. #13071074C2semidirect
29. C4×D4×Dic11C2semidirect
30. C2×#10622279C2semidirect
31. C11×#2425C2semidirect
53. C22×C4×Dic11C22semidirect
56. C2×#66951C22semidirect
61. C2×#66945C22semidirect
62. C2×#66942C22semidirect
63. C2×#66940C22semidirect
65. C2×#66938C22semidirect
72. C2×(C22⋊D11)⋊C4C22semidirect
73. C2×(C22⋊D11)⋊C4C22semidirect
74. C2×#66932C22semidirect
76. C2×#66930C22semidirect
77. C11×#398C22semidirect
78. C11×#397C22semidirect
79. C11×#396C22semidirect
80. C11×#394C22semidirect
81. C11×#389C22semidirect
82. C11×#388C22semidirect
84. C11×#386C22semidirect
86. C11×#380C22semidirect
88. #10622836C22semidirect
90. #10622833C22semidirect
96. C4×C22⋊Dic11C22semidirect
106. #10622603C22semidirect
111. #10622598C22semidirect
112. #10622597C22semidirect
113. #10622597C22semidirect
114. #10622594C22semidirect
115. #10622594C22semidirect
116. #10622592C22semidirect
117. C4⋊C4×Dic11C22semidirect
118. C4⋊C4×Dic11C22semidirect
119. C4⋊C4×Dic11C22semidirect
120. C4⋊C4×Dic11C22semidirect
121. #10622586C22semidirect
124. #10622574C22semidirect
133. #10622571C22semidirect
137. #10622570C22semidirect
139. #10622565C22semidirect
140. #10622564C22semidirect
141. #10622564C22semidirect
143. #10622558C22semidirect
144. #10622557C22semidirect
148. C22⋊C4×Dic11C22semidirect
149. C22⋊C4×Dic11C22semidirect
150. C22⋊C4×Dic11C22semidirect
151. C22⋊C4×Dic11C22semidirect
152. C22⋊C4×Dic11C22semidirect
155. C4×C4⋊Dic11C22semidirect
156. C42×Dic11C22semidirect
158. #10622288C22semidirect
160. #10622286C22semidirect
162. #10622283C22semidirect
163. #10622283C22semidirect
165. #10622282C22semidirect
176. #10622279C22semidirect
179. #10622273C22semidirect
180. #10622271C22semidirect
181. #10622270C22semidirect
182. #10622269C22semidirect
183. #10622263C22semidirect
184. #10622262C22semidirect
185. #10622260C22semidirect
186. #10622259C22semidirect
187. #10622259C22semidirect
188. #10622259C22semidirect
266. D4×Dic11D4semidirect
476. C22×Dic11#41semidirect
537. C11×C22⋊C4#41semidirect
575. (C2×D11)⋊C4#41semidirect
628. #2425D11semidirect
849. #398C2×D11semidirect
853. #397C2×D11semidirect
857. #396C2×D11semidirect
867. #394C2×D11semidirect
887. #389C2×D11semidirect
901. #388C2×D11semidirect
915. #386C2×D11semidirect
923. #380C2×D11semidirect
1444. C22⋊C4#4341semidirect
1464. C11#34829semidirect

Maximal subgroups

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

subgroupindex
C2×#106231802
C2×#106231372
#130737552
#130737402
#130737252
#130737102
#130736972
#130736882
#130736752
#130736602
#130736292
#130735742
#130735462
#130735052
#130729422
#130727442
#130721462
#130718932
#130718742
#130718612
#130718302
#130711572
#123×Dic112
#130711262
#130711222
#130711172
#130711012
#130710742
C4×D4×Dic112
C2×#106222792
C11×#24252
#3482911