Finite Group Databasebeta

← #14926784

Subgroups — #14926784

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×#10623238C211yesmaximal, characteristic, complemented
2C2×#10623209C211yesmaximal, characteristic, complemented
3#13076990C211yesmaximal, characteristic, complemented
4#13076982C211yesmaximal, characteristic, complemented
5#13076948C211yesmaximal, characteristic, complemented
6#13076913C211yesmaximal, characteristic, complemented
7#13074780C211yesmaximal, characteristic, complemented
8#13074765C211yesmaximal, characteristic, complemented
9#13074760C211yesmaximal, characteristic, complemented
10#13074743C211yesmaximal, characteristic, complemented
11#13073766C211yesmaximal, characteristic, complemented
12#13073743C211yesmaximal, characteristic, complemented
13#13073736C211yesmaximal, characteristic, complemented
14#13073713C211yesmaximal, characteristic, complemented
15#13073621C211yesmaximal, characteristic, complemented
16#13073573C211yesmaximal, characteristic, complemented
17#13073543C211yesmaximal, characteristic, complemented
18#13073501C211yesmaximal, characteristic, complemented
19#13073283C211yesmaximal, characteristic, complemented
20#13072949C211yesmaximal, characteristic, complemented
21#13072740C211yesmaximal, characteristic, complemented
22#13072622C211yesmaximal, characteristic, complemented
23#13072585C211yesmaximal, characteristic, complemented
24#13072164C211yesmaximal, characteristic, complemented
25#13072151C211yesmaximal, characteristic, complemented
26#13071289C211yesmaximal, characteristic, complemented
27#13071278C211yesmaximal, characteristic, complemented
28C4×#66948C211yesmaximal, characteristic, complemented
29D11×#388C211yesmaximal, characteristic, complemented
30C4×(C22⋊D11)⋊C4C211yesmaximal, characteristic, complemented
31C11×#2521C211yesmaximal, characteristic, complemented
32C2×C11×#126C2211yescharacteristic, complemented
33C2×C11×#124C2211yescharacteristic
34C2×#67000C2211yescharacteristic
35C2×#66999C2211yescharacteristic
36C2×#66992C2211yescharacteristic
37C2×#66990C2211yescharacteristic
38C2×#66983C2211yescharacteristic
39C2×C4×C22⋊D11C2211yescharacteristic
40C22×C4×Dic11C2211yescharacteristic, complemented
41#10623238—28no—
42#10623209—28no—
43C2×#66951C2211yescharacteristic, complemented
44C2×#66950C2211yescharacteristic
45C2×#66949C2211yescharacteristic, complemented
46C2×#66948C2211yescharacteristic
47C2×#66947C2211yescharacteristic
48C2×#66947C2211yescharacteristic
49C2×C4⋊C4×D11C2211yescharacteristic
50C2×#66943C2211yescharacteristic, complemented
51C2×#66939C2211yescharacteristic
52C2×#66939C2211yescharacteristic, complemented
53C2×#66938C2211yescharacteristic
54C2×#66937C2211yescharacteristic
55C2×#66937C2211yescharacteristic
56C2×#66937C2211yescharacteristic
57C2×#66936C2211yescharacteristic
58C2×#66936C2211yescharacteristic
59C2×#66936C2211yescharacteristic, complemented
60C2×#66935C2211yescharacteristic
61C2×#66935C2211yescharacteristic
62C2×(C22⋊D11)⋊C4C2211yescharacteristic
63C2×(C22⋊D11)⋊C4C2211yescharacteristic
64C2×C22⋊C4×D11C2211yescharacteristic
65C2×C22⋊C4×D11C2211yescharacteristic
66C2×C22⋊C4×D11C2211yescharacteristic
67C2×#66932C2211yescharacteristic
68C2×#66931C2211yescharacteristic, complemented
69C2×#66929C2211yescharacteristic
70C2×C4×D44C2211yescharacteristic
71C2×C4×D44C2211yescharacteristic
72C2×C4×D44C2211yescharacteristic, complemented
73C2×C42×D11C2211yescharacteristic
74C2×#66923C2211yescharacteristic, complemented
75C11×#399C2211yescharacteristic
76C11×#397C2211yescharacteristic, complemented
77C11×#395C2211yescharacteristic, complemented
78C11×#394C2211yescharacteristic
79C11×#391C2211yescharacteristic, complemented
80C11×#388C2211yescharacteristic
81C11×#388C2211yescharacteristic
82C11×#388C2211yescharacteristic
83C11×#387C2211yescharacteristic, complemented
84C11×#386C2211yescharacteristic
85C11×#380C2211yescharacteristic, complemented
86C4×C11×C4⋊C4C2211yescharacteristic, complemented
87C4×C11×C22⋊C4C2211yescharacteristic, complemented
88#10622844C2211yescharacteristic, complemented
89#10622843C2211yescharacteristic, complemented
90#10622836C2211yescharacteristic
91#10622833C2211yescharacteristic
92#10622826C2211yescharacteristic, complemented
93#10622607C2211yescharacteristic
94#10622607C2211yescharacteristic, complemented
95#10622605C2211yescharacteristic
96#10622604C2211yescharacteristic
97#10622603C2211yescharacteristic
98#10622602C2211yescharacteristic
99#10622602C2211yescharacteristic, complemented
100#10622601C2211yescharacteristic
101#10622601C2211yescharacteristic
102#10622601C2211yescharacteristic
103#10622601C2211yescharacteristic, complemented
104#10622600C2211yescharacteristic
105#10622598C2211yescharacteristic, complemented
106#10622598C2211yescharacteristic, complemented
107#10622598C2211yescharacteristic, complemented
108#10622597C2211yescharacteristic, complemented
109#10622595C2211yescharacteristic, complemented
110#10622593C2211yescharacteristic, complemented
111#10622593C2211yescharacteristic, complemented
112#10622585C2211yescharacteristic, complemented
113#10622574C2211yescharacteristic
114#10622574C2211yescharacteristic
115#10622573C2211yescharacteristic
116#10622573C2211yescharacteristic, complemented
117#10622572C2211yescharacteristic
118#10622572C2211yescharacteristic, complemented
119#10622571C2211yescharacteristic
120#10622571C2211yescharacteristic, complemented
121#10622571C2211yescharacteristic, complemented
122#10622570C2211yescharacteristic
123#10622570C2211yescharacteristic
124#10622570C2211yescharacteristic
125#10622570C2211yescharacteristic
126#10622569C2211yescharacteristic
127#10622568C2211yescharacteristic
128#10622566C2211yescharacteristic
129#10622565C2211yescharacteristic, complemented
130#10622564C2211yescharacteristic
131#10622564C2211yescharacteristic
132#10622564C2211yescharacteristic
133#10622561C2211yescharacteristic
134#10622561C2211yescharacteristic
135#10622558C2211yescharacteristic
136#10622557C2211yescharacteristic
137C22⋊C4×Dic11C2211yescharacteristic, complemented
138C22⋊C4×Dic11C2211yescharacteristic, complemented
139#10622553C2211yescharacteristic
140#10622553C2211yescharacteristic
141#10622553C2211yescharacteristic, complemented
142#10622552C2211yescharacteristic
143C4×(C2×D11)⋊C4C2211yescharacteristic
144C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
145C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
146#10622546C2211yescharacteristic, complemented
147C4×Dic11⋊C4C2211yescharacteristic, complemented
148C42×Dic11C2211yescharacteristic, complemented
149#10622288C2211yescharacteristic, complemented
150#10622286C2211yescharacteristic
151#10622285C2211yescharacteristic
152#10622285C2211yescharacteristic, complemented
153#10622284C2211yescharacteristic
154#10622283C2211yescharacteristic
155#10622283C2211yescharacteristic
156#10622283C2211yescharacteristic
157#10622283C2211yescharacteristic, complemented
158#10622283C2211yescharacteristic, complemented
159#10622283C2211yescharacteristic, complemented
160#10622283C2211yescharacteristic, complemented
161#10622282C2211yescharacteristic
162#10622282C2211yescharacteristic
163#10622282C2211yescharacteristic
164#10622282C2211yescharacteristic, complemented
165#10622282C2211yescharacteristic, complemented
166#10622282C2211yescharacteristic, complemented
167#10622282C2211yescharacteristic, complemented
168#10622281C2211yescharacteristic
169#10622281C2211yescharacteristic, complemented
170#10622279C2211yescharacteristic
171#10622279C2211yescharacteristic
172#10622278C2211yescharacteristic
173#10622278C2211yescharacteristic
174#10622278C2211yescharacteristic
175#10622278C2211yescharacteristic
176#10622278C2211yescharacteristic
177#10622277C2211yescharacteristic
178D11×#95C2211yescharacteristic
179D11×#95C2211yescharacteristic
180#10622274C2211yescharacteristic, complemented
181#10622273C2211yescharacteristic, complemented
182#10622269C2211yescharacteristic, complemented
183#10622263C2211yescharacteristic, complemented
184#10622262C2211yescharacteristic, complemented
185#10622262C2211yescharacteristic, complemented
186#10622260C2211yescharacteristic, complemented
187#10622260C2211yescharacteristic, complemented
188#10622259C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C22×Q8×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C22×C22⋊D11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C23×Dic11C2311yescharacteristic
200C23×Dic11C2311yescharacteristic
201C22×D44C2311yescharacteristic
202C22×D44C2311yescharacteristic
203C22×D44C2311yescharacteristic
204C22×D44C2311yescharacteristic
205C22×D44C2311yescharacteristic
206C22×C4×D11C2311yescharacteristic
207C22×C4×D11C2311yescharacteristic
208C22×C4×D11C2311yescharacteristic
209C22×C4×D11C2311yescharacteristic
210C22×C4×D11C2311yescharacteristic
211C22×C4×D11C2311yescharacteristic
212C22×C4×D11C2311yescharacteristic
213C22×C4×D11C2311yescharacteristic
214C22×Dic22C2311yescharacteristic
215C11×#126—24no—
216C11×#124—24no—
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C4⋊C4C2311yescharacteristic
219C2×C11×C4⋊C4C2311yescharacteristic
220C2×C11×C4⋊C4C2311yescharacteristic
221C2×C11×C4⋊C4C2311yescharacteristic
222C2×C11×C4⋊C4C2311yescharacteristic
223C2×C11×C4⋊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×C42×C11C2311yescharacteristic
236C2×C42×C11C2311yescharacteristic
237C2×C42×C11C2311yescharacteristic
238C2×C42×C11C2311yescharacteristic
239C2×C22⋊Dic11C2311yescharacteristic
240C2×C22⋊Dic11C2311yescharacteristic
241C2×C22⋊Dic11C2311yescharacteristic
242C2×C22⋊Dic11C2311yescharacteristic
243C2×C22⋊Dic11C2311yescharacteristic
244C2×C22⋊Dic11C2311yescharacteristic
245C2×C22⋊Dic11C2311yescharacteristic
246#67000—24no—
247#66999—24no—
248#66992—24no—
249#66990—24no—
250#66983—42no—
251C4×C22⋊D11—24no—
252C2×(C2×D11)⋊C4C2311yescharacteristic
253C2×(C2×D11)⋊C4C2311yescharacteristic
254C2×(C2×D11)⋊C4C2311yescharacteristic
255C2×(C2×D11)⋊C4C2311yescharacteristic
256C2×(C2×D11)⋊C4C2311yescharacteristic
257C2×(C2×D11)⋊C4C2311yescharacteristic
258C2×(C2×D11)⋊C4C2311yescharacteristic
259C2×(C2×D11)⋊C4C2311yescharacteristic
260C2×(C2×D11)⋊C4C2311yescharacteristic
261C2×(C2×D11)⋊C4C2311yescharacteristic
262C2×(C2×D11)⋊C4C2311yescharacteristic
263C2×(C2×D11)⋊C4C2311yescharacteristic
264C2×(C2×D11)⋊C4C2311yescharacteristic
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
283C2×(C2×D11)⋊C4C2311yescharacteristic
284C2×(C2×D11)⋊C4C2311yescharacteristic
285C2×(C2×D11)⋊C4C2311yescharacteristic
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×Dic11⋊C4C2311yescharacteristic
296C2×Dic11⋊C4C2311yescharacteristic
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×C4×Dic11—42no—
310C2×C4×Dic11C2311yescharacteristic
311C2×C4×Dic11C2311yescharacteristic
312C2×C4×Dic11C2311yescharacteristic
313C2×C4×Dic11C2311yescharacteristic
314C2×C4×Dic11C2311yescharacteristic
315C2×C4×Dic11C2311yescharacteristic
316C2×C4×Dic11C2311yescharacteristic
317C2×C4×Dic11C2311yescharacteristic
318C2×C4×Dic11C2311yescharacteristic
319C2×C4×Dic11C2311yescharacteristic
320C2×C4×Dic11C2311yescharacteristic
321#66951—24no—
322#66950—24no—
323#66949—24no—
324#66948—24no—
325#66947—24no—
326#66947—24no—
327C4⋊C4×D11—24no—
328#66943—24no—
329#66939—24no—
330#66939—24no—
331#66938—42no—
332#66937—24no—
333#66937—24no—
334#66937—24no—
335#66936—24no—
336#66936—24no—
337#66936—24no—
338#66935—24no—
339#66935—24no—
340(C22⋊D11)⋊C4—24no—
341(C22⋊D11)⋊C4D418yescomplemented
342C22⋊C4×D11—24no—
343C22⋊C4×D11—24no—
344C22⋊C4×D11—42no—
345#66932—24no—
346#66931—24no—
347#66929—24no—
348C4×D44—24no—
349C4×D44—24no—
350C4×D44—42no—
351C42×D11—42no—
352#66923—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#35009—111nomaximal, Sylow
386C24×C11C2411yescharacteristic
387C24×C11C2411yescharacteristic
388C23×D11—22no—
389C23×D11—22no—
390C23×D11—22no—
391C23×D11—41no—
392C23×D11—41no—
393C23×D11—41no—
394C23×D11—41no—
395C23×D11C2411yescharacteristic
396C23×D11C2411yescharacteristic
397C23×D11C2411yescharacteristic
398C23×D11C2411yescharacteristic
399C2×Q8×C11—22no—
400C2×Q8×C11—41no—
401C2×Q8×C11—41no—
402C2×D4×C11—22no—
403C2×D4×C11—41no—
404C2×D4×C11—41no—
405C22×C4×C11—22no—
406C22×C4×C11—22no—
407C22×C4×C11—41no—
408C22×C4×C11C2411yescharacteristic
409C22×C4×C11C2411yescharacteristic
410C22×C4×C11C2411yescharacteristic
411C22×C4×C11C2411yescharacteristic
412C22×C4×C11C2411yescharacteristic
413C22×C4×C11C2411yescharacteristic
414C22×C4×C11C2411yescharacteristic
415C22×C4×C11C2411yescharacteristic
416C22×C4×C11C2411yescharacteristic
417C22×C4×C11C2411yescharacteristic
418C22×C4×C11C2411yescharacteristic
419C22×C4×C11C2411yescharacteristic
420C22×C4×C11C2411yescharacteristic
421C2×C22⋊D11—22no—
422C2×C22⋊D11—22no—
423C2×C22⋊D11—22no—
424C2×C22⋊D11—22no—
425C2×C22⋊D11—22no—
426C2×C22⋊D11—22no—
427C2×C22⋊D11—22no—
428C2×C22⋊D11—41no—
429C2×C22⋊D11—41no—
430C2×C22⋊D11—41no—
431C2×C22⋊D11—41no—
432C2×C22⋊D11—41no—
433C2×C22⋊D11—41no—
434C2×C22⋊D11—41no—
435C2×C22⋊D11—41no—
436C2×C22⋊D11—41no—
437C2×C22⋊D11—41no—
438C2×C22⋊D11C2×D414yes—
439C22×Dic11—22no—
440C22×Dic11—41no—
441C22×Dic11—41no—
442C22×Dic11—41no—
443C22×Dic11—41no—
444C22×Dic11C2×D414yes—
445C22×Dic11C2411yescharacteristic
446C22×Dic11C2411yescharacteristic
447C22×Dic11C2411yescharacteristic
448C22×Dic11C2411yescharacteristic
449C22×Dic11C2411yescharacteristic
450C22×Dic11C2411yescharacteristic
451C22×Dic11C2411yescharacteristic
452C22×Dic11C2411yescharacteristic
453C22×Dic11C2411yescharacteristic
454C22×Dic11C2411yescharacteristic
455C22×Dic11C2411yescharacteristic
456C22×Dic11C2411yescharacteristic
457C2×D44—22no—
458C2×D44—22no—
459C2×D44—22no—
460C2×D44—22no—
461C2×D44—22no—
462C2×D44—22no—
463C2×D44—22no—
464C2×D44—22no—
465C2×D44—22no—
466C2×D44—41no—
467C2×D44—41no—
468C2×D44—41no—
469C2×D44—41no—
470C2×D44—41no—
471C2×D44—41no—
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—22no—
479C2×C4×D11—22no—
480C2×C4×D11—22no—
481C2×C4×D11—41no—
482C2×C4×D11—41no—
483C2×C4×D11—41no—
484C2×C4×D11—41no—
485C2×C4×D11—41no—
486C2×C4×D11—41no—
487C2×C4×D11—41no—
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×D11C2×D414yes—
495C2×C4×D11#4114yes—
496C2×Dic22—22no—
497C2×Dic22—41no—
498C2×Dic22—41no—
499C11×C4⋊C4—22no—
500C11×C4⋊C4—22no—
501C11×C4⋊C4—22no—
502C11×C4⋊C4—22no—
503C11×C4⋊C4—22no—
504C11×C4⋊C4—41no—
505C11×C4⋊C4—41no—
506C11×C22⋊C4—22no—
507C11×C22⋊C4—22no—
508C11×C22⋊C4—22no—
509C11×C22⋊C4—22no—
510C11×C22⋊C4—22no—
511C11×C22⋊C4—22no—
512C11×C22⋊C4—22no—
513C11×C22⋊C4—22no—
514C11×C22⋊C4—22no—
515C11×C22⋊C4—41no—
516C11×C22⋊C4C2×D414yes—
517C42×C11—22no—
518C42×C11—22no—
519C42×C11—22no—
520C42×C11—41no—
521C22⋊Dic11—22no—
522C22⋊Dic11—22no—
523C22⋊Dic11—22no—
524C22⋊Dic11—22no—
525C22⋊Dic11—22no—
526C22⋊Dic11—41no—
527C22⋊Dic11—41no—
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—22no—
539(C2×D11)⋊C4—22no—
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—41no—
552(C2×D11)⋊C4—41no—
553(C2×D11)⋊C4—41no—
554(C2×D11)⋊C4—41no—
555(C2×D11)⋊C4—41no—
556(C2×D11)⋊C4—41no—
557(C2×D11)⋊C4—41no—
558(C2×D11)⋊C4—41no—
559(C2×D11)⋊C4—41no—
560(C2×D11)⋊C4C2×D414yes—
561(C2×D11)⋊C4#4114yes—
562C4⋊Dic11—22no—
563C4⋊Dic11—22no—
564C4⋊Dic11—22no—
565C4⋊Dic11—22no—
566C4⋊Dic11—22no—
567C4⋊Dic11—22no—
568C4⋊Dic11—22no—
569C4⋊Dic11—41no—
570C4⋊Dic11—41no—
571Dic11⋊C4—22no—
572Dic11⋊C4—22no—
573Dic11⋊C4—22no—
574Dic11⋊C4—22no—
575Dic11⋊C4—22no—
576Dic11⋊C4—22no—
577Dic11⋊C4—22no—
578Dic11⋊C4—22no—
579Dic11⋊C4—22no—
580Dic11⋊C4—22no—
581Dic11⋊C4—22no—
582Dic11⋊C4—41no—
583Dic11⋊C4—41no—
584Dic11⋊C4C2×D414yes—
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#2521D1111yescharacteristic, complemented
615#2519—111no—
616#2488—111no—
617#2472—111no—
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×C11C22×D412yes—
641C23×C11C2511yescharacteristic
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×D11—21no—
653C22×D11—21no—
654C22×D11—21no—
655C22×D11—21no—
656C22×D11—21no—
657C22×D11—21no—
658C22×D11—21no—
659C22×D11—21no—
660C22×D11—21no—
661C22×D11—21no—
662C22×D11—21no—
663C22×D11—21no—
664C22×D11—21no—
665C22×D11—21no—
666C22×D11—21no—
667C22×D11—44no—
668C22×D11—44no—
669C22×D11—44no—
670C22×D11—82no—
671C22×D11—82no—
672C22×D11—82no—
673C22×D11—82no—
674C22×D11C22×D412yes—
675C22×D11C2×#4112yes—
676C22×D11C2×#4112yes—
677Q8×C11—82no—
678D4×C11—82no—
679C2×C4×C11—21no—
680C2×C4×C11—21no—
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—21no—
712C2×C4×C11—21no—
713C2×C4×C11—44no—
714C2×C4×C11C22×D412yes—
715C2×C4×C11C22×D412yes—
716C2×C4×C11C2×#4112yes—
717C2×C4×C11C2×#4112yes—
718C2×C4×C11H(5,𝔽2)12yes—
719C22⋊D11—28no—
720C22⋊D11—82no—
721C22⋊D11—82no—
722C22⋊D11—82no—
723C22⋊D11—82no—
724C22⋊D11—82no—
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—44no—
757C2×Dic11—44no—
758C2×Dic11C22×D412yes—
759C2×Dic11C22×D412yes—
760C2×Dic11C22×D412yes—
761C2×Dic11C2×#4112yes—
762C2×Dic11C2×#4112yes—
763D44—44no—
764D44—44no—
765D44—44no—
766D44—82no—
767D44—82no—
768C4×D11—44no—
769C4×D11—44no—
770C4×D11—44no—
771C4×D11—44no—
772C4×D11—82no—
773C4×D11—82no—
774C4×D11—82no—
775C4×D11—82no—
776Dic22—82no—
777#539—228no—
778#538—228no—
779C2×#126—111no—
780C2×#126—111no—
781C2×#126—111no—
782C2×#126C2×D1111yescharacteristic, complemented
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⋊Q8—111no—
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×#120—111no—
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⋊C4—111no—
818C22×C42—111no—
819C22×C42—111no—
820#400—111no—
821#400—111no—
822#399—111no—
823#399C2×D1111yescharacteristic
824#398—111no—
825#398—111no—
826#398—111no—
827#398—111no—
828#397—111no—
829#397—111no—
830#397—111no—
831#397C2×D1111yescharacteristic, complemented
832#396—111no—
833#396—111no—
834#396—111no—
835#396—111no—
836#395—111no—
837#395C2×D1111yescharacteristic, complemented
838#394—111no—
839#394—111no—
840#394—111no—
841#394—111no—
842#394—111no—
843#394—111no—
844#394—111no—
845#394C2×D1111yescharacteristic
846#393—111no—
847#393—111no—
848#392—111no—
849#392—111no—
850#392—111no—
851#392—111no—
852#391—111no—
853#391—111no—
854#391C2×D1111yescharacteristic, complemented
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#390—111no—
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#388C2×D1111yescharacteristic
894#388C2×D1111yescharacteristic
895#388C2×D1111yescharacteristic
896#387—111no—
897#387C2×D1111yescharacteristic, complemented
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#386—111no—
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#380C2×D1111yescharacteristic, complemented
918#379—111no—
919C4×C4⋊C4—111no—
920C4×C4⋊C4—111no—
921C4×C4⋊C4—111no—
922C4×C4⋊C4C2×D1111yescharacteristic, complemented
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, complemented
931C2×#95—111no—
932C2×#95—111no—
933C43—111no—
934C22×C11—22no—
935C22×C11—22no—
936C22×C11—22no—
937C22×C11—41no—
938C22×C11—41no—
939C22×C11—41no—
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×C11C23×D411yescharacteristic
949C22×C11C22×#4111yescharacteristic
950C22×C11C22×#4111yescharacteristic
951C22×C11C2×H(5,𝔽2)11yescharacteristic
952C22×C11#58511yescharacteristic
953C22×C11#58511yescharacteristic
954C22×C11#58511yescharacteristic
955C2×D11—22no—
956C2×D11—22no—
957C2×D11—22no—
958C2×D11—22no—
959C2×D11—22no—
960C2×D11—22no—
961C2×D11—41no—
962C2×D11—41no—
963C2×D11—41no—
964C2×D11—41no—
965C2×D11—41no—
966C2×D11—41no—
967C2×D11—41no—
968C2×D11—41no—
969C2×D11—41no—
970C2×D11—41no—
971C2×D11—41no—
972C2×D11—41no—
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—88no—
983C2×D11#53214yes—
984C4×C11—22no—
985C4×C11—22no—
986C4×C11—22no—
987C4×C11—22no—
988C4×C11—22no—
989C4×C11—41no—
990C4×C11—41no—
991C4×C11—41no—
992C4×C11—41no—
993C4×C11—41no—
994C4×C11—41no—
995C4×C11—41no—
996C4×C11—41no—
997Dic11—22no—
998Dic11—22no—
999Dic11—22no—
1000Dic11—22no—
1001Dic11—22no—
1002Dic11—41no—
1003Dic11—41no—
1004Dic11—41no—
1005Dic11—41no—
1006Dic11—41no—
1007Dic11—41no—
1008Dic11—41no—
1009C25—111no—
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×D4—111no—
1022C22×D4—111no—
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×C4—111no—
1034C23×C4C22×D1111yescharacteristic
1035#126—24no—
1036#126—224no—
1037#126—224no—
1038#126—224no—
1039#125—224no—
1040#125—224no—
1041#124—24no—
1042#124—224no—
1043#124—442no—
1044#123—224no—
1045#123—224no—
1046#123—224no—
1047#123—224no—
1048#123—224no—
1049#123—224no—
1050#123—224no—
1051C22⋊Q8—224no—
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—224no—
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—224no—
1094C2×C4⋊C4C22×D1111yescharacteristic
1095C2×C4⋊C4C22×D1111yescharacteristic
1096C2×C4⋊C4C22×D1111yescharacteristic
1097C2×C4⋊C4C22×D1111yescharacteristic
1098C2×C4⋊C4C22×D1111yescharacteristic
1099C2×C4⋊C4C22×D1111yescharacteristic
1100C2×C4⋊C4C22×D1111yescharacteristic
1101C2×C22⋊C4—111no—
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—111no—
1138C2×C22⋊C4—111no—
1139C2×C22⋊C4—111no—
1140C2×C22⋊C4—111no—
1141C2×C22⋊C4—111no—
1142C2×C22⋊C4—224no—
1143C2×C22⋊C4—224no—
1144C2×C22⋊C4—442no—
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—442no—
1168C2×C42—442no—
1169C2×C42C22×D1111yescharacteristic
1170C2×C42C22×D1111yescharacteristic
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#95C22×D1111yescharacteristic
1196#95C22×D1111yescharacteristic
1197#95C22×D1111yescharacteristic
1198#95C22×D1111yescharacteristic
1199#95C22×D1111yescharacteristic
1200#95C22×D1111yescharacteristic
1201#95C22×D1111yescharacteristic
1202#95C22×D1111yescharacteristic
1203#95C22×D1111yescharacteristic
1204#95C22×D1111yescharacteristic
1205C2×C11—42no—
1206C2×C11—81no—
1207C2×C11C2×#53211yescharacteristic
1208C2×C11#345511yescharacteristic
1209C2×C11#345911yescharacteristic
1210C2×C11#349611yescharacteristic
1211C2×C11#350011yescharacteristic
1212C2×C11#351311yescharacteristic
1213C2×C11#352111yescharacteristic
1214D11—24no—
1215D11—81no—
1216D11—81no—
1217D11—81no—
1218C24—111no—
1219C24—111no—
1220C24—111no—
1221C24—111no—
1222C24—222no—
1223C24—222no—
1224C24—222no—
1225C24—441no—
1226C24—441no—
1227C24—441no—
1228C24—441no—
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—41no—
1239C2×D4—41no—
1240C2×D4—114no—
1241C2×D4—222no—
1242C2×D4—222no—
1243C2×D4—222no—
1244C2×D4—222no—
1245C2×D4—222no—
1246C2×D4—222no—
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—441no—
1258C2×D4—441no—
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—41no—
1276C22×C4—111no—
1277C22×C4—111no—
1278C22×C4—111no—
1279C22×C4—111no—
1280C22×C4—111no—
1281C22×C4—114no—
1282C22×C4—114no—
1283C22×C4—114no—
1284C22×C4—111no—
1285C22×C4—111no—
1286C22×C4—111no—
1287C22×C4—111no—
1288C22×C4—111no—
1289C22×C4—111no—
1290C22×C4—111no—
1291C22×C4—222no—
1292C22×C4—222no—
1293C22×C4—222no—
1294C22×C4—222no—
1295C22×C4—222no—
1296C22×C4—222no—
1297C22×C4—222no—
1298C22×C4—222no—
1299C22×C4—222no—
1300C22×C4—222no—
1301C22×C4—441no—
1302C22×C4—441no—
1303C22×C4—441no—
1304C22×C4—441no—
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×C4C23×D1111yescharacteristic
1319C22×C4C23×D1111yescharacteristic
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—22no—
1335C4⋊C4—22no—
1336C4⋊C4—41no—
1337C4⋊C4—41no—
1338C4⋊C4—114no—
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—222no—
1356C4⋊C4—222no—
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—22no—
1369C22⋊C4—22no—
1370C22⋊C4—41no—
1371C22⋊C4—114no—
1372C22⋊C4—114no—
1373C22⋊C4—222no—
1374C22⋊C4—222no—
1375C22⋊C4—222no—
1376C22⋊C4—222no—
1377C22⋊C4—222no—
1378C22⋊C4—222no—
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—441no—
1402C22⋊C4—441no—
1403C22⋊C4—441no—
1404C22⋊C4—441no—
1405C22⋊C4—441no—
1406C22⋊C4—441no—
1407C22⋊C4—441no—
1408C22⋊C4—441no—
1409C22⋊C4—441no—
1410C22⋊C4—441no—
1411C22⋊C4—441no—
1412C22⋊C4D4×D1114yes—
1413C42—22no—
1414C42—22no—
1415C42—22no—
1416C42—41no—
1417C42—114no—
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—112no—
1443C23—112no—
1444C23—112no—
1445C23—221no—
1446C23—221no—
1447C23—221no—
1448C23—221no—
1449C23—221no—
1450C23—221no—
1451C23—221no—
1452C23—221no—
1453C23—221no—
1454C23—221no—
1455C23—221no—
1456C23—221no—
1457C23—221no—
1458C23—221no—
1459C23—221no—
1460C23—221no—
1461C23—221no—
1462C23—221no—
1463C23—221no—
1464C23—221no—
1465C23—221no—
1466C23—221no—
1467C23—221no—
1468C23—221no—
1469C23—221no—
1470C23—444no—
1471C23—444no—
1472C23—444no—
1473C23—882no—
1474C23—882no—
1475C23—882no—
1476C23—882no—
1477C23C2×D4×D1112yes—
1478C23C24×D1111yescharacteristic
1479Q8—82no—
1480Q8—882no—
1481D4—82no—
1482D4—228no—
1483D4—444no—
1484D4—444no—
1485D4—444no—
1486D4—882no—
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—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—44no—
1528C2×C4—112no—
1529C2×C4—112no—
1530C2×C4—112no—
1531C2×C4—112no—
1532C2×C4—112no—
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—444no—
1565C2×C4—444no—
1566C2×C4—444no—
1567C2×C4—444no—
1568C2×C4—444no—
1569C2×C4—444no—
1570C2×C4—882no—
1571C2×C4—882no—
1572C2×C4—882no—
1573C2×C4—882no—
1574C2×C4C2×D4×D1112yes—
1575C2×C4C2×D4×D1112yes—
1576C2×C4#41×D1112yes—
1577C2×C4#41×D1112yes—
1578C2×C4#6704212yes—
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—114no—
1594C22—222no—
1595C22—222no—
1596C22—222no—
1597C22—222no—
1598C22—222no—
1599C22—222no—
1600C22—441no—
1601C22—441no—
1602C22—441no—
1603C22—441no—
1604C22—441no—
1605C22—441no—
1606C22—441no—
1607C22—441no—
1608C22—441no—
1609C22—441no—
1610C22—441no—
1611C22—441no—
1612C22—441no—
1613C22—441no—
1614C22—441no—
1615C22—441no—
1616C22—441no—
1617C22—441no—
1618C22—441no—
1619C22—441no—
1620C22—441no—
1621C22—888no—
1622C22C22×D4×D1111yescharacteristic
1623C22C2×#41×D1111yescharacteristic
1624C22C2×#41×D1111yescharacteristic
1625C22C2×#6704211yescharacteristic
1626C22#1062345311yescharacteristic
1627C22#1062345511yescharacteristic
1628C22#1062345711yescharacteristic
1629C4—22no—
1630C4—22no—
1631C4—22no—
1632C4—22no—
1633C4—22no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
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—42no—
1655C2—81no—
1656C2—224no—
1657C2—881no—
1658C2—881no—
1659C2—881no—
1660C2D11×#53211yescharacteristic
1661C2#1308200311yescharacteristic
1662C2#1308202611yescharacteristic
1663C2#1308237411yescharacteristic
1664C2#1308240211yescharacteristic
1665C2#1308254311yescharacteristic
1666C2#1308268911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2521C2
hypercenter#2521D11
hypocenterC11#35009
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2521

Complements

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

NH ≅ G/Ntype
1. C2×#10623238C2semidirect
2. C2×#10623209C2semidirect
3. #13076990C2semidirect
4. #13076982C2semidirect
5. #13076948C2semidirect
6. #13076913C2semidirect
7. #13074780C2semidirect
8. #13074765C2semidirect
9. #13074760C2semidirect
10. #13074743C2semidirect
11. #13073766C2semidirect
12. #13073743C2semidirect
13. #13073736C2semidirect
14. #13073713C2semidirect
15. #13073621C2semidirect
16. #13073573C2semidirect
17. #13073543C2semidirect
18. #13073501C2semidirect
19. #13073283C2semidirect
20. #13072949C2semidirect
21. #13072740C2semidirect
22. #13072622C2semidirect
23. #13072585C2semidirect
24. #13072164C2semidirect
25. #13072151C2semidirect
26. #13071289C2semidirect
27. #13071278C2semidirect
28. C4×#66948C2semidirect
29. D11×#388C2semidirect
30. C4×(C22⋊D11)⋊C4C2semidirect
31. C11×#2521C2semidirect
32. C2×C11×#126C22semidirect
40. C22×C4×Dic11C22semidirect
43. C2×#66951C22semidirect
45. C2×#66949C22semidirect
50. C2×#66943C22semidirect
52. C2×#66939C22semidirect
59. C2×#66936C22semidirect
68. C2×#66931C22semidirect
72. C2×C4×D44C22semidirect
74. C2×#66923C22semidirect
76. C11×#397C22semidirect
77. C11×#395C22semidirect
79. C11×#391C22semidirect
83. C11×#387C22semidirect
85. C11×#380C22semidirect
86. C4×C11×C4⋊C4C22semidirect
87. C4×C11×C22⋊C4C22semidirect
88. #10622844C22semidirect
89. #10622843C22semidirect
92. #10622826C22semidirect
94. #10622607C22semidirect
99. #10622602C22semidirect
103. #10622601C22semidirect
105. #10622598C22semidirect
106. #10622598C22semidirect
107. #10622598C22semidirect
108. #10622597C22semidirect
109. #10622595C22semidirect
110. #10622593C22semidirect
111. #10622593C22semidirect
112. #10622585C22semidirect
116. #10622573C22semidirect
118. #10622572C22semidirect
120. #10622571C22semidirect
121. #10622571C22semidirect
129. #10622565C22semidirect
137. C22⋊C4×Dic11C22semidirect
138. C22⋊C4×Dic11C22semidirect
141. #10622553C22semidirect
144. C4×(C2×D11)⋊C4C22semidirect
145. C4×(C2×D11)⋊C4C22semidirect
146. #10622546C22semidirect
147. C4×Dic11⋊C4C22semidirect
148. C42×Dic11C22semidirect
149. #10622288C22semidirect
152. #10622285C22semidirect
157. #10622283C22semidirect
158. #10622283C22semidirect
159. #10622283C22semidirect
160. #10622283C22semidirect
164. #10622282C22semidirect
165. #10622282C22semidirect
166. #10622282C22semidirect
167. #10622282C22semidirect
169. #10622281C22semidirect
180. #10622274C22semidirect
181. #10622273C22semidirect
182. #10622269C22semidirect
183. #10622263C22semidirect
184. #10622262C22semidirect
185. #10622262C22semidirect
186. #10622260C22semidirect
187. #10622260C22semidirect
188. #10622259C22semidirect
341. (C22⋊D11)⋊C4D4semidirect
614. #2521D11semidirect
782. C2×#126C2×D11semidirect
831. #397C2×D11semidirect
837. #395C2×D11semidirect
854. #391C2×D11semidirect
897. #387C2×D11semidirect
917. #380C2×D11semidirect
922. C4×C4⋊C4C2×D11semidirect
930. C4×C22⋊C4C2×D11semidirect
1428. C11#35009semidirect

Maximal subgroups

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

subgroupindex
C2×#106232382
C2×#106232092
#130769902
#130769822
#130769482
#130769132
#130747802
#130747652
#130747602
#130747432
#130737662
#130737432
#130737362
#130737132
#130736212
#130735732
#130735432
#130735012
#130732832
#130729492
#130727402
#130726222
#130725852
#130721642
#130721512
#130712892
#130712782
C4×#669482
D11×#3882
C4×(C22⋊D11)⋊C42
C11×#25212
#3500911