Finite Group Databasebeta

← #14961192

Subgroups — #14961192

Order 2816.

2262 conjugacy classes of subgroups.

The subgroup lattice has 1624 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623165C211yesmaximal, characteristic, complemented
2C2×#10623091C211yesmaximal, characteristic
3#13076966C211yesmaximal, characteristic, complemented
4#13076913C211yesmaximal, characteristic, complemented
5#13075221C211yesmaximal, characteristic, complemented
6#13075215C211yesmaximal, characteristic, complemented
7#13075197C211yesmaximal, characteristic, complemented
8#13075191C211yesmaximal, characteristic, complemented
9#13075072C211yesmaximal, characteristic, complemented
10#13075070C211yesmaximal, characteristic, complemented
11#13075042C211yesmaximal, characteristic, complemented
12#13075040C211yesmaximal, characteristic, complemented
13#13074975C211yesmaximal, characteristic, complemented
14#13074969C211yesmaximal, characteristic, complemented
15#13074960C211yesmaximal, characteristic, complemented
16#13074958C211yesmaximal, characteristic, complemented
17#13074902C211yesmaximal, characteristic, complemented
18#13074900C211yesmaximal, characteristic, complemented
19#13074872C211yesmaximal, characteristic, complemented
20#13074870C211yesmaximal, characteristic, complemented
21#13074733C211yesmaximal, characteristic, complemented
22#13074546C211yesmaximal, characteristic, complemented
23#13073796C211yesmaximal, characteristic, complemented
24#13072068C211yesmaximal, characteristic, complemented
25#13072067C211yesmaximal, characteristic, complemented
26#13072011C211yesmaximal, characteristic, complemented
27#13072011C211yesmaximal, characteristic, complemented
28#13072009C211yesmaximal, characteristic, complemented
29#13072009C211yesmaximal, characteristic, complemented
30C2×#10622283C211yesmaximal, characteristic, complemented
31C11×#2564C211yesmaximal, characteristic, complemented
32C2×C11×C22⋊Q8C2211yescharacteristic
33C2×C4×D4×C11C2211yescharacteristic
34C2×#66999C2211yescharacteristic
35C2×#66999C2211yescharacteristic
36C2×#66999C2211yescharacteristic, complemented
37C2×#66992C2211yescharacteristic
38C2×#66990C2211yescharacteristic
39C2×#66983C2211yescharacteristic
40C2×#66982C2211yescharacteristic
41C2×C4×C22⋊D11C2211yescharacteristic
42C22×(C2×D11)⋊C4C2211yescharacteristic
43C22×(C2×D11)⋊C4C2211yescharacteristic
44C22×(C2×D11)⋊C4C2211yescharacteristic
45C22×C4⋊Dic11C2211yescharacteristic
46C2×#66977C2211yescharacteristic
47C2×#66977C2211yescharacteristic, complemented
48C22×C4×Dic11C2211yescharacteristic
49#10623165—28no—
50#10623091—28no—
51C2×#66951C2211yescharacteristic
52C2×#66950C2211yescharacteristic
53C2×#66950C2211yescharacteristic
54C2×#66949C2211yescharacteristic
55C2×#66949C2211yescharacteristic
56C2×#66949C2211yescharacteristic
57C2×#66949C2211yescharacteristic
58C2×#66947C2211yescharacteristic
59C2×#66947C2211yescharacteristic
60C2×#66947C2211yescharacteristic
61C2×#66941C2211yescharacteristic, complemented
62C2×#66938C2211yescharacteristic
63C2×#66938C2211yescharacteristic, complemented
64C2×#66937C2211yescharacteristic
65C2×#66936C2211yescharacteristic
66C2×#66936C2211yescharacteristic
67C2×#66935C2211yescharacteristic
68C2×C22⋊C4×D11C2211yescharacteristic
69C2×C22⋊C4×D11C2211yescharacteristic
70C2×#66931C2211yescharacteristic
71C2×#66931C2211yescharacteristic
72C2×#66931C2211yescharacteristic
73C2×#66929C2211yescharacteristic
74C2×#66928C2211yescharacteristic
75C11×#400C2211yescharacteristic, complemented
76C11×#399C2211yescharacteristic, complemented
77C11×#395C2211yescharacteristic, complemented
78C11×#393C2211yescharacteristic, complemented
79C11×#387C2211yescharacteristic, complemented
80C11×#387C2211yescharacteristic, complemented
81C11×#386C2211yescharacteristic
82C11×#386C2211yescharacteristic
83C11×#385C2211yescharacteristic, complemented
84C11×#385C2211yescharacteristic, complemented
85C11×#380C2211yescharacteristic
86C11×#380C2211yescharacteristic
87C2×C11×#95C2211yescharacteristic
88#10622843C2211yescharacteristic, complemented
89#10622833C2211yescharacteristic
90#10622833C2211yescharacteristic
91#10622826C2211yescharacteristic
92#10622826C2211yescharacteristic
93#10622825C2211yescharacteristic
94#10622825C2211yescharacteristic
95#10622825C2211yescharacteristic, complemented
96C2×C11⋊#95C2211yescharacteristic
97#10622607C2211yescharacteristic, complemented
98#10622607C2211yescharacteristic, complemented
99#10622606C2211yescharacteristic
100#10622606C2211yescharacteristic
101#10622604C2211yescharacteristic
102#10622604C2211yescharacteristic
103#10622602C2211yescharacteristic
104#10622602C2211yescharacteristic
105#10622600C2211yescharacteristic, complemented
106#10622598C2211yescharacteristic, complemented
107#10622597C2211yescharacteristic, complemented
108#10622597C2211yescharacteristic, complemented
109#10622597C2211yescharacteristic, complemented
110#10622597C2211yescharacteristic, complemented
111#10622597C2211yescharacteristic, complemented
112#10622597C2211yescharacteristic, complemented
113#10622592C2211yescharacteristic, complemented
114#10622592C2211yescharacteristic, complemented
115#10622589C2211yescharacteristic, complemented
116#10622586C2211yescharacteristic, complemented
117#10622586C2211yescharacteristic, complemented
118#10622574C2211yescharacteristic
119#10622574C2211yescharacteristic
120#10622574C2211yescharacteristic, complemented
121#10622572C2211yescharacteristic
122#10622572C2211yescharacteristic
123#10622572C2211yescharacteristic, complemented
124#10622571C2211yescharacteristic
125#10622571C2211yescharacteristic
126#10622570C2211yescharacteristic, complemented
127#10622569C2211yescharacteristic
128#10622569C2211yescharacteristic
129#10622565C2211yescharacteristic, complemented
130#10622564C2211yescharacteristic, complemented
131#10622561C2211yescharacteristic, complemented
132#10622561C2211yescharacteristic, complemented
133#10622560C2211yescharacteristic, complemented
134#10622557C2211yescharacteristic, complemented
135#10622555C2211yescharacteristic
136#10622555C2211yescharacteristic
137#10622555C2211yescharacteristic
138#10622555C2211yescharacteristic
139#10622542C2211yescharacteristic, complemented
140#10622541C2211yescharacteristic, complemented
141#10622290C2211yescharacteristic, complemented
142#10622288C2211yescharacteristic
143#10622288C2211yescharacteristic
144#10622288C2211yescharacteristic
145#10622288C2211yescharacteristic
146#10622288C2211yescharacteristic, complemented
147#10622287C2211yescharacteristic
148#10622287C2211yescharacteristic
149#10622286C2211yescharacteristic, complemented
150#10622286C2211yescharacteristic, complemented
151#10622285C2211yescharacteristic
152#10622285C2211yescharacteristic
153#10622283C2211yescharacteristic
154#10622283C2211yescharacteristic
155#10622283C2211yescharacteristic
156#10622283C2211yescharacteristic
157#10622283C2211yescharacteristic
158#10622283C2211yescharacteristic
159#10622283C2211yescharacteristic
160#10622283C2211yescharacteristic
161#10622283C2211yescharacteristic, complemented
162#10622282C2211yescharacteristic, complemented
163#10622281C2211yescharacteristic
164#10622281C2211yescharacteristic
165#10622281C2211yescharacteristic, complemented
166#10622281C2211yescharacteristic, complemented
167#10622278C2211yescharacteristic
168#10622278C2211yescharacteristic
169#10622277C2211yescharacteristic
170#10622277C2211yescharacteristic
171#10622277C2211yescharacteristic
172#10622277C2211yescharacteristic
173#10622273C2211yescharacteristic, complemented
174#10622272C2211yescharacteristic, complemented
175#10622271C2211yescharacteristic, complemented
176#10622270C2211yescharacteristic, complemented
177#10622270C2211yescharacteristic, complemented
178#10622269C2211yescharacteristic, complemented
179#10622269C2211yescharacteristic, complemented
180#10622269C2211yescharacteristic, complemented
181#10622266C2211yescharacteristic, complemented
182#10622266C2211yescharacteristic, complemented
183#10622263C2211yescharacteristic, complemented
184#10622260C2211yescharacteristic, complemented
185#10622260C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187#10622259C2211yescharacteristic, complemented
188#10622259C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C22×Q8×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C23×C4×C11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C23×Dic11C2311yescharacteristic
201C23×Dic11C2311yescharacteristic
202C23×Dic11C2311yescharacteristic
203C22×D44C2311yescharacteristic
204C22×D44C2311yescharacteristic
205C22×C4×D11C2311yescharacteristic
206C22×C4×D11C2311yescharacteristic
207C22×C4×D11C2311yescharacteristic
208C22×C4×D11C2311yescharacteristic
209C22×C4×D11C2311yescharacteristic
210C22×Dic22C2311yescharacteristic
211C22×Dic22C2311yescharacteristic
212C22×Dic22C2311yescharacteristic
213C22×Dic22C2311yescharacteristic
214C11×C22⋊Q8—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×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×C42×C11C2311yescharacteristic
233C2×C22⋊Dic11C2311yescharacteristic
234C2×C22⋊Dic11C2311yescharacteristic
235C2×C22⋊Dic11C2311yescharacteristic
236C2×C22⋊Dic11C2311yescharacteristic
237C2×C22⋊Dic11C2311yescharacteristic
238C2×C22⋊Dic11C2311yescharacteristic
239C2×C22⋊Dic11C2311yescharacteristic
240C2×C22⋊Dic11C2311yescharacteristic
241#66999—24no—
242#66999—24no—
243#66999—42no—
244#66992—24no—
245#66990—24no—
246#66983—24no—
247#66982—24no—
248C4×C22⋊D11—24no—
249C2×(C2×D11)⋊C4—42no—
250C2×(C2×D11)⋊C4—42no—
251C2×(C2×D11)⋊C4D418yes—
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×C4⋊Dic11—42no—
283C2×C4⋊Dic11C2311yescharacteristic
284C2×C4⋊Dic11C2311yescharacteristic
285C2×C4⋊Dic11C2311yescharacteristic
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
295#66977—24no—
296#66977—42no—
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×Dic11⋊C4C2311yescharacteristic
314C2×Dic11⋊C4C2311yescharacteristic
315C2×C4×Dic11—42no—
316C2×C4×Dic11C2311yescharacteristic
317C2×C4×Dic11C2311yescharacteristic
318C2×C4×Dic11C2311yescharacteristic
319C2×C4×Dic11C2311yescharacteristic
320C2×C4×Dic11C2311yescharacteristic
321#66951—24no—
322#66950—24no—
323#66950—24no—
324#66949—24no—
325#66949—24no—
326#66949—24no—
327#66949—24no—
328#66947—24no—
329#66947—42no—
330#66947—42no—
331#66941—42no—
332#66938—24no—
333#66938—42no—
334#66937—24no—
335#66936—42no—
336#66936—42no—
337#66935—24no—
338C22⋊C4×D11—24no—
339C22⋊C4×D11—24no—
340#66931—24no—
341#66931—24no—
342#66931—24no—
343#66929—24no—
344#66928—24no—
345C11×#95C2311yescharacteristic
346C11×#95C2311yescharacteristic
347C11×#95C2311yescharacteristic
348C11×#95C2311yescharacteristic
349C11×#95C2311yescharacteristic
350C11×#95C2311yescharacteristic
351C11×#95C2311yescharacteristic
352C11×#95C2311yescharacteristic
353C11×#95C2311yescharacteristic
354C11×#95C2311yescharacteristic
355C11×#95C2311yescharacteristic
356C11×#95C2311yescharacteristic
357C11⋊#95C2311yescharacteristic
358C11⋊#95C2311yescharacteristic
359C11⋊#95C2311yescharacteristic
360C11⋊#95C2311yescharacteristic
361C11⋊#95C2311yescharacteristic
362C11⋊#95C2311yescharacteristic
363C11⋊#95C2311yescharacteristic
364C11⋊#95C2311yescharacteristic
365C11⋊#95C2311yescharacteristic
366C11⋊#95C2311yescharacteristic
367C11⋊#95C2311yescharacteristic
368C11⋊#95C2311yescharacteristic
369C11⋊#95C2311yescharacteristic
370C11⋊#95C2311yescharacteristic
371C11⋊#95C2311yescharacteristic
372C11⋊#95C2311yescharacteristic
373C11⋊#95C2311yescharacteristic
374C11⋊#95C2311yescharacteristic
375C11⋊#95C2311yescharacteristic
376C11⋊#95C2311yescharacteristic
377C11⋊#95C2311yescharacteristic
378C11⋊#95C2311yescharacteristic
379C11⋊#95C2311yescharacteristic
380C11⋊#95C2311yescharacteristic
381C11⋊#95C2311yescharacteristic
382C11⋊#95C2311yescharacteristic
383C11⋊#95C2311yescharacteristic
384C11⋊#95C2311yescharacteristic
385#36740—111nomaximal, Sylow
386C24×C11C2411yescharacteristic
387C24×C11C2411yescharacteristic
388C23×D11—22no—
389C23×D11—22no—
390C23×D11—41no—
391C23×D11—41no—
392C23×D11—41no—
393C23×D11—41no—
394C23×D11C2×D414yes—
395C23×D11C2411yescharacteristic
396C23×D11C2411yescharacteristic
397C23×D11C2411yescharacteristic
398C2×Q8×C11—22no—
399C2×Q8×C11—41no—
400C2×Q8×C11—41no—
401C2×D4×C11—22no—
402C2×D4×C11—22no—
403C2×D4×C11—22no—
404C22×C4×C11—22no—
405C22×C4×C11—22no—
406C22×C4×C11—22no—
407C22×C4×C11—22no—
408C22×C4×C11—41no—
409C22×C4×C11—41no—
410C22×C4×C11—41no—
411C22×C4×C11—41no—
412C22×C4×C11—41no—
413C22×C4×C11—41no—
414C22×C4×C11—41no—
415C22×C4×C11C2×D414yes—
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
427C22×C4×C11C2411yescharacteristic
428C22×C4×C11C2411yescharacteristic
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—41no—
436C2×C22⋊D11—41no—
437C2×C22⋊D11—41no—
438C2×C22⋊D11—41no—
439C2×C22⋊D11—41no—
440C2×C22⋊D11—41no—
441C22×Dic11—22no—
442C22×Dic11—22no—
443C22×Dic11—22no—
444C22×Dic11—41no—
445C22×Dic11—41no—
446C22×Dic11—41no—
447C22×Dic11—41no—
448C22×Dic11—41no—
449C22×Dic11C2×D414yes—
450C22×Dic11C2411yescharacteristic
451C22×Dic11C2411yescharacteristic
452C22×Dic11C2411yescharacteristic
453C22×Dic11C2411yescharacteristic
454C22×Dic11C2411yescharacteristic
455C22×Dic11C2411yescharacteristic
456C22×Dic11C2411yescharacteristic
457C22×Dic11C2411yescharacteristic
458C22×Dic11C2411yescharacteristic
459C22×Dic11C2411yescharacteristic
460C22×Dic11C2411yescharacteristic
461C22×Dic11C2411yescharacteristic
462C22×Dic11C2411yescharacteristic
463C2×D44—22no—
464C2×D44—22no—
465C2×D44—41no—
466C2×D44—41no—
467C2×D44—41no—
468C2×D44—41no—
469C2×C4×D11—22no—
470C2×C4×D11—22no—
471C2×C4×D11—22no—
472C2×C4×D11—22no—
473C2×C4×D11—22no—
474C2×C4×D11—41no—
475C2×C4×D11—41no—
476C2×C4×D11—41no—
477C2×C4×D11—41no—
478C2×C4×D11—41no—
479C2×C4×D11—41no—
480C2×C4×D11—41no—
481C2×C4×D11—41no—
482C2×C4×D11—41no—
483C2×C4×D11—41no—
484C2×Dic22—22no—
485C2×Dic22—22no—
486C2×Dic22—22no—
487C2×Dic22—22no—
488C2×Dic22—41no—
489C2×Dic22—41no—
490C2×Dic22—41no—
491C2×Dic22—41no—
492C2×Dic22—41no—
493C2×Dic22—41no—
494C2×Dic22—41no—
495C2×Dic22—41no—
496C11×C4⋊C4—22no—
497C11×C4⋊C4—22no—
498C11×C4⋊C4—22no—
499C11×C4⋊C4—22no—
500C11×C4⋊C4—22no—
501C11×C4⋊C4—41no—
502C11×C4⋊C4—41no—
503C11×C4⋊C4—41no—
504C11×C22⋊C4—22no—
505C11×C22⋊C4—22no—
506C11×C22⋊C4—22no—
507C11×C22⋊C4—22no—
508C11×C22⋊C4—22no—
509C11×C22⋊C4—41no—
510C11×C22⋊C4—41no—
511C11×C22⋊C4—41no—
512C42×C11—22no—
513C22⋊Dic11—22no—
514C22⋊Dic11—22no—
515C22⋊Dic11—22no—
516C22⋊Dic11—22no—
517C22⋊Dic11—22no—
518C22⋊Dic11—41no—
519C22⋊Dic11—41no—
520C22⋊Dic11—41no—
521(C2×D11)⋊C4—22no—
522(C2×D11)⋊C4—22no—
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—41no—
538(C2×D11)⋊C4—41no—
539(C2×D11)⋊C4—41no—
540(C2×D11)⋊C4—41no—
541(C2×D11)⋊C4—41no—
542(C2×D11)⋊C4—41no—
543(C2×D11)⋊C4—41no—
544(C2×D11)⋊C4—41no—
545(C2×D11)⋊C4—41no—
546(C2×D11)⋊C4—41no—
547(C2×D11)⋊C4C2×D414yes—
548(C2×D11)⋊C4C2×D414yes—
549(C2×D11)⋊C4C2×D414yes—
550(C2×D11)⋊C4C2×D414yes—
551C4⋊Dic11—22no—
552C4⋊Dic11—22no—
553C4⋊Dic11—22no—
554C4⋊Dic11—22no—
555C4⋊Dic11—22no—
556C4⋊Dic11—22no—
557C4⋊Dic11—22no—
558C4⋊Dic11—41no—
559C4⋊Dic11—41no—
560C4⋊Dic11—41no—
561C4⋊Dic11—41no—
562C4⋊Dic11—41no—
563Dic11⋊C4—22no—
564Dic11⋊C4—22no—
565Dic11⋊C4—22no—
566Dic11⋊C4—22no—
567Dic11⋊C4—22no—
568Dic11⋊C4—22no—
569Dic11⋊C4—22no—
570Dic11⋊C4—22no—
571Dic11⋊C4—22no—
572Dic11⋊C4—22no—
573Dic11⋊C4—22no—
574Dic11⋊C4—22no—
575Dic11⋊C4—41no—
576Dic11⋊C4—41no—
577Dic11⋊C4—41no—
578Dic11⋊C4—41no—
579Dic11⋊C4—41no—
580Dic11⋊C4—41no—
581C4×Dic11—22no—
582C4×Dic11—22no—
583C4×Dic11—22no—
584C4×Dic11—41no—
585C4×Dic11—41no—
586C2×#543—111no—
587C2×#538—111no—
588#2857—111no—
589#2850—111no—
590#2700—111no—
591#2700—111no—
592#2698—111no—
593#2698—111no—
594#2689—111no—
595#2689—111no—
596#2687—111no—
597#2687—111no—
598#2681—111no—
599#2681—111no—
600#2680—111no—
601#2680—111no—
602#2674—111no—
603#2674—111no—
604#2672—111no—
605#2672—111no—
606#2659—111no—
607#2639—111no—
608#2564—111no—
609#2564D1111yescharacteristic, complemented
610#2417—111no—
611#2417—111no—
612#2412—111no—
613#2412—111no—
614#2412—111no—
615#2412—111no—
616C2×#388—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×C11C22×D412yes—
629C23×C112−1+412yes—
630C23×C112−1+412yes—
631C23×C11C2511yescharacteristic
632C22×D11—21no—
633C22×D11—21no—
634C22×D11—21no—
635C22×D11—21no—
636C22×D11—21no—
637C22×D11—21no—
638C22×D11—21no—
639C22×D11—21no—
640C22×D11—21no—
641C22×D11—21no—
642C22×D11—21no—
643C22×D11—21no—
644C22×D11—28no—
645C22×D11—21no—
646C22×D11—21no—
647C22×D11—21no—
648C22×D11—21no—
649C22×D11—21no—
650C22×D11—21no—
651C22×D11—21no—
652C22×D11—44no—
653C22×D11—44no—
654C22×D11—82no—
655C22×D11—82no—
656C22×D11—82no—
657C22×D11—82no—
658C22×D11C22×D412yes—
659C22×D11C22×D412yes—
660Q8×C11—82no—
661D4×C11—44no—
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—21no—
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—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—44no—
699C2×C4×C11—44no—
700C2×C4×C11—82no—
701C2×C4×C11—82no—
702C2×C4×C11C22×D412yes—
703C2×C4×C11C22×D412yes—
704C2×C4×C11H(5,𝔽2)12yes—
705C22⋊D11—44no—
706C22⋊D11—82no—
707C22⋊D11—82no—
708C22⋊D11—82no—
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—21no—
739C2×Dic11—21no—
740C2×Dic11—21no—
741C2×Dic11—21no—
742C2×Dic11—21no—
743C2×Dic11—21no—
744C2×Dic11—21no—
745C2×Dic11—44no—
746C2×Dic11—44no—
747C2×Dic11—82no—
748C2×Dic11C22×D412yes—
749C2×Dic11C22×D412yes—
750C2×Dic11H(5,𝔽2)12yes—
751D44—82no—
752D44—82no—
753C4×D11—82no—
754C4×D11—82no—
755C4×D11—82no—
756C4×D11—82no—
757C4×D11—82no—
758Dic22—82no—
759Dic22—82no—
760Dic22—82no—
761Dic22—82no—
762#543—228no—
763#538—228no—
764C2×C4⋊Q8—111no—
765C2×#126—111no—
766C2×#126—111no—
767C2×#124—111no—
768C2×#124—111no—
769C2×#124—111no—
770C2×#123—111no—
771C2×#123—111no—
772C2×#123—111no—
773C2×#123—111no—
774C2×#123—111no—
775C2×#123—111no—
776C2×C22⋊Q8—111no—
777C2×C22⋊Q8—111no—
778C2×C22⋊Q8—111no—
779C2×C22⋊Q8—111no—
780C2×C22⋊Q8—111no—
781C2×C22⋊Q8—111no—
782C2×C22⋊Q8—111no—
783C2×C22⋊Q8—111no—
784C2×C22⋊Q8—111no—
785C2×C22⋊Q8—111no—
786C2×C22⋊Q8—111no—
787C2×C22⋊Q8—111no—
788C2×C22⋊Q8—111no—
789C2×C22⋊Q8—111no—
790C2×C22⋊Q8C2×D1111yescharacteristic
791C2×#121—111no—
792C2×#121—111no—
793C2×#121—111no—
794C2×#120—111no—
795C2×#120—111no—
796C2×C4×D4—111no—
797C2×C4×D4C2×D1111yescharacteristic
798C22×C4⋊C4—111no—
799C22×C22⋊C4—111no—
800C22×C22⋊C4—111no—
801C22×C22⋊C4—111no—
802C22×C22⋊C4—111no—
803C22×C22⋊C4—111no—
804C22×C42—111no—
805#400—111no—
806#400—111no—
807#400—111no—
808#400C2×D1111yescharacteristic, complemented
809#399—111no—
810#399C2×D1111yescharacteristic, complemented
811#398—111no—
812#398—111no—
813#398—111no—
814#398—111no—
815#398—111no—
816#398—111no—
817#398—111no—
818#398—111no—
819#397—111no—
820#397—111no—
821#397—111no—
822#397—111no—
823#397—111no—
824#397—111no—
825#397—111no—
826#397—111no—
827#397—111no—
828#397—111no—
829#396—111no—
830#396—111no—
831#396—111no—
832#396—111no—
833#395—111no—
834#395—111no—
835#395—111no—
836#395—111no—
837#395—111no—
838#395C2×D1111yescharacteristic, complemented
839#394—111no—
840#394—111no—
841#394—111no—
842#394—111no—
843#394—111no—
844#394—111no—
845#394—111no—
846#394—111no—
847#394—111no—
848#394—111no—
849#393—111no—
850#393—111no—
851#393—111no—
852#393C2×D1111yescharacteristic, complemented
853#391—111no—
854#391—111no—
855#391—111no—
856#391—111no—
857#391—111no—
858#390—111no—
859#389—111no—
860#389—111no—
861#389—111no—
862#389—111no—
863#389—111no—
864#389—111no—
865#388—111no—
866#388—111no—
867#388—111no—
868#388—111no—
869#388—111no—
870#388—111no—
871#388—111no—
872#388—111no—
873#388—111no—
874#388—111no—
875#388—111no—
876#388—111no—
877#387—111no—
878#387—111no—
879#387C2×D1111yescharacteristic, complemented
880#387C2×D1111yescharacteristic, complemented
881#386—111no—
882#386—111no—
883#386—111no—
884#386—111no—
885#386—111no—
886#386—111no—
887#386—111no—
888#386—111no—
889#386—111no—
890#386—111no—
891#386C2×D1111yescharacteristic
892#386C2×D1111yescharacteristic
893#385—111no—
894#385—111no—
895#385—111no—
896#385—111no—
897#385—111no—
898#385—111no—
899#385C2×D1111yescharacteristic, complemented
900#385C2×D1111yescharacteristic, complemented
901#384—111no—
902#382—111no—
903#381—111no—
904#381—111no—
905#381—111no—
906#381—111no—
907#380—111no—
908#380—111no—
909#380—111no—
910#380—111no—
911#380—111no—
912#380—111no—
913#380—111no—
914#380—111no—
915#380C2×D1111yescharacteristic
916#380C2×D1111yescharacteristic
917C2×#95—111no—
918C2×#95C2×D1111yescharacteristic
919C22×C11—22no—
920C22×C11—22no—
921C22×C11—22no—
922C22×C11—22no—
923C22×C11—22no—
924C22×C11—22no—
925C22×C11—41no—
926C22×C11—41no—
927C22×C11—41no—
928C22×C11—41no—
929C22×C11—41no—
930C22×C11—41no—
931C22×C11—41no—
932C22×C11#53614yes—
933C22×C11C23×D411yescharacteristic
934C22×C11C2×H(5,𝔽2)11yescharacteristic
935C22×C11C2×H(5,𝔽2)11yescharacteristic
936C22×C11C2×2−1+411yescharacteristic
937C22×C11C2×2−1+411yescharacteristic
938C22×C11#58511yescharacteristic
939C22×C11#58511yescharacteristic
940C2×D11—22no—
941C2×D11—22no—
942C2×D11—22no—
943C2×D11—22no—
944C2×D11—22no—
945C2×D11—22no—
946C2×D11—41no—
947C2×D11—41no—
948C2×D11—41no—
949C2×D11—41no—
950C2×D11—41no—
951C2×D11—41no—
952C2×D11—41no—
953C2×D11—41no—
954C2×D11—41no—
955C2×D11—41no—
956C2×D11—41no—
957C2×D11—41no—
958C2×D11—41no—
959C2×D11—41no—
960C2×D11—41no—
961C2×D11—88no—
962C4×C11—22no—
963C4×C11—22no—
964C4×C11—22no—
965C4×C11—41no—
966C4×C11—41no—
967C4×C11—41no—
968C4×C11—41no—
969C4×C11—41no—
970C4×C11—41no—
971C4×C11—41no—
972C4×C11—41no—
973C4×C11—41no—
974C4×C11—41no—
975Dic11—22no—
976Dic11—22no—
977Dic11—22no—
978Dic11—41no—
979Dic11—41no—
980Dic11—41no—
981Dic11—41no—
982Dic11—41no—
983Dic11—41no—
984Dic11—41no—
985Dic11—41no—
986Dic11—41no—
987Dic11—41no—
988C25—111no—
989C22×Q8—111no—
990C22×Q8—111no—
991C22×Q8—111no—
992C22×Q8—111no—
993C22×Q8C22×D1111yescharacteristic
994C22×D4—111no—
995C22×D4—111no—
996C22×D4—111no—
997C22×D4—111no—
998C22×D4—111no—
999C22×D4—111no—
1000C22×D4C22×D1111yescharacteristic
1001C23×C4—111no—
1002C23×C4—111no—
1003C23×C4—111no—
1004C23×C4—111no—
1005C23×C4—111no—
1006C23×C4—111no—
1007C23×C4—111no—
1008C23×C4—111no—
1009C23×C4C22×D1111yescharacteristic
1010C23×C4C22×D1111yescharacteristic
1011C23×C4C22×D1111yescharacteristic
1012C23×C4C22×D1111yescharacteristic
1013C4⋊Q8—442no—
1014#126—224no—
1015#126—224no—
1016#124—224no—
1017#124—224no—
1018#124—442no—
1019#123—224no—
1020#123—224no—
1021#123—442no—
1022#123—442no—
1023#123—442no—
1024#123—442no—
1025C22⋊Q8—24no—
1026C22⋊Q8—224no—
1027C22⋊Q8—224no—
1028C22⋊Q8—224no—
1029C22⋊Q8—224no—
1030C22⋊Q8—224no—
1031C22⋊Q8—224no—
1032C22⋊Q8—224no—
1033C22⋊Q8—224no—
1034C22⋊Q8—224no—
1035C22⋊Q8—224no—
1036C22⋊Q8—224no—
1037C22⋊Q8—224no—
1038C22⋊Q8—442no—
1039C22⋊Q8—442no—
1040#121—224no—
1041#121—224no—
1042#121—224no—
1043#120—224no—
1044#120—224no—
1045C4×D4—24no—
1046C4×D4—224no—
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⋊C4—111no—
1068C2×C4⋊C4—111no—
1069C2×C4⋊C4—111no—
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—442no—
1078C2×C4⋊C4C22×D1111yescharacteristic
1079C2×C4⋊C4C22×D1111yescharacteristic
1080C2×C4⋊C4C22×D1111yescharacteristic
1081C2×C4⋊C4C22×D1111yescharacteristic
1082C2×C4⋊C4C22×D1111yescharacteristic
1083C2×C4⋊C4C22×D1111yescharacteristic
1084C2×C4⋊C4C22×D1111yescharacteristic
1085C2×C4⋊C4C22×D1111yescharacteristic
1086C2×C22⋊C4—118no—
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⋊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—224no—
1126C2×C22⋊C4—224no—
1127C2×C22⋊C4—442no—
1128C2×C22⋊C4—442no—
1129C2×C22⋊C4C22×D1111yescharacteristic
1130C2×C22⋊C4C22×D1111yescharacteristic
1131C2×C22⋊C4C22×D1111yescharacteristic
1132C2×C22⋊C4C22×D1111yescharacteristic
1133C2×C22⋊C4C22×D1111yescharacteristic
1134C2×C22⋊C4C22×D1111yescharacteristic
1135C2×C22⋊C4C22×D1111yescharacteristic
1136C2×C22⋊C4C22×D1111yescharacteristic
1137C2×C42—111no—
1138C2×C42—111no—
1139C2×C42—111no—
1140C2×C42—111no—
1141C2×C42—111no—
1142C2×C42—442no—
1143C2×C42C22×D1111yescharacteristic
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#95—111no—
1170#95—111no—
1171#95—111no—
1172#95C22×D1111yescharacteristic
1173#95C22×D1111yescharacteristic
1174#95C22×D1111yescharacteristic
1175#95C22×D1111yescharacteristic
1176#95C22×D1111yescharacteristic
1177#95C22×D1111yescharacteristic
1178#95C22×D1111yescharacteristic
1179#95C22×D1111yescharacteristic
1180#95C22×D1111yescharacteristic
1181#95C22×D1111yescharacteristic
1182#95C22×D1111yescharacteristic
1183#95C22×D1111yescharacteristic
1184C2×C11—24no—
1185C2×C11—81no—
1186C2×C11C2×#53611yescharacteristic
1187C2×C11#349611yescharacteristic
1188C2×C11#349611yescharacteristic
1189C2×C11#353511yescharacteristic
1190C2×C11#353611yescharacteristic
1191C2×C11#356111yescharacteristic
1192C2×C11#356411yescharacteristic
1193D11—42no—
1194D11—42no—
1195D11—81no—
1196C24—111no—
1197C24—111no—
1198C24—114no—
1199C24—111no—
1200C24—222no—
1201C24—222no—
1202C24—441no—
1203C24—441no—
1204C24—441no—
1205C24—441no—
1206C24C23×D1111yescharacteristic
1207C24C23×D1111yescharacteristic
1208C2×Q8—22no—
1209C2×Q8—41no—
1210C2×Q8—41no—
1211C2×Q8—222no—
1212C2×Q8—222no—
1213C2×Q8—222no—
1214C2×Q8—222no—
1215C2×Q8—441no—
1216C2×Q8—441no—
1217C2×Q8—441no—
1218C2×Q8—441no—
1219C2×Q8—441no—
1220C2×Q8—441no—
1221C2×Q8—441no—
1222C2×Q8—441no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—222no—
1227C2×D4—222no—
1228C2×D4—222no—
1229C2×D4—222no—
1230C2×D4—222no—
1231C2×D4—222no—
1232C2×D4—222no—
1233C2×D4—222no—
1234C2×D4—441no—
1235C2×D4—441no—
1236C2×D4—441no—
1237C2×D4—441no—
1238C2×D4—441no—
1239C2×D4—441no—
1240C2×D4—441no—
1241C2×D4—441no—
1242C2×D4—441no—
1243C2×D4—441no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—111no—
1256C22×C4—111no—
1257C22×C4—111no—
1258C22×C4—114no—
1259C22×C4—111no—
1260C22×C4—111no—
1261C22×C4—111no—
1262C22×C4—111no—
1263C22×C4—111no—
1264C22×C4—111no—
1265C22×C4—111no—
1266C22×C4—111no—
1267C22×C4—111no—
1268C22×C4—111no—
1269C22×C4—222no—
1270C22×C4—222no—
1271C22×C4—222no—
1272C22×C4—222no—
1273C22×C4—222no—
1274C22×C4—222no—
1275C22×C4—222no—
1276C22×C4—222no—
1277C22×C4—441no—
1278C22×C4—441no—
1279C22×C4—441no—
1280C22×C4—441no—
1281C22×C4—441no—
1282C22×C4—441no—
1283C22×C4—441no—
1284C22×C4—441no—
1285C22×C4—441no—
1286C22×C4—441no—
1287C22×C4—441no—
1288C22×C4—441no—
1289C22×C4—441no—
1290C22×C4—441no—
1291C22×C4—441no—
1292C22×C4D4×D1114yes—
1293C22×C4C23×D1111yescharacteristic
1294C22×C4C23×D1111yescharacteristic
1295C22×C4C23×D1111yescharacteristic
1296C22×C4C23×D1111yescharacteristic
1297C22×C4C23×D1111yescharacteristic
1298C22×C4C23×D1111yescharacteristic
1299C22×C4C23×D1111yescharacteristic
1300C22×C4C23×D1111yescharacteristic
1301C22×C4C23×D1111yescharacteristic
1302C22×C4C23×D1111yescharacteristic
1303C22×C4C23×D1111yescharacteristic
1304C22×C4C23×D1111yescharacteristic
1305C22×C4C23×D1111yescharacteristic
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—41no—
1312C4⋊C4—41no—
1313C4⋊C4—41no—
1314C4⋊C4—222no—
1315C4⋊C4—222no—
1316C4⋊C4—222no—
1317C4⋊C4—222no—
1318C4⋊C4—222no—
1319C4⋊C4—222no—
1320C4⋊C4—222no—
1321C4⋊C4—222no—
1322C4⋊C4—222no—
1323C4⋊C4—222no—
1324C4⋊C4—222no—
1325C4⋊C4—222no—
1326C4⋊C4—222no—
1327C4⋊C4—222no—
1328C4⋊C4—222no—
1329C4⋊C4—222no—
1330C4⋊C4—222no—
1331C4⋊C4—222no—
1332C4⋊C4—222no—
1333C4⋊C4—441no—
1334C4⋊C4—441no—
1335C4⋊C4—441no—
1336C4⋊C4—441no—
1337C4⋊C4—441no—
1338C4⋊C4—441no—
1339C4⋊C4—441no—
1340C4⋊C4—441no—
1341C4⋊C4—441no—
1342C4⋊C4—441no—
1343C4⋊C4—441no—
1344C22⋊C4—22no—
1345C22⋊C4—22no—
1346C22⋊C4—22no—
1347C22⋊C4—22no—
1348C22⋊C4—22no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C22⋊C4—41no—
1352C22⋊C4—114no—
1353C22⋊C4—114no—
1354C22⋊C4—114no—
1355C22⋊C4—114no—
1356C22⋊C4—222no—
1357C22⋊C4—222no—
1358C22⋊C4—222no—
1359C22⋊C4—222no—
1360C22⋊C4—222no—
1361C22⋊C4—222no—
1362C22⋊C4—222no—
1363C22⋊C4—222no—
1364C22⋊C4—222no—
1365C22⋊C4—222no—
1366C22⋊C4—222no—
1367C22⋊C4—222no—
1368C22⋊C4—222no—
1369C22⋊C4—222no—
1370C22⋊C4—222no—
1371C22⋊C4—222no—
1372C22⋊C4—222no—
1373C22⋊C4—222no—
1374C22⋊C4—222no—
1375C22⋊C4—222no—
1376C22⋊C4—222no—
1377C22⋊C4—441no—
1378C22⋊C4—441no—
1379C22⋊C4—441no—
1380C22⋊C4—441no—
1381C22⋊C4—441no—
1382C22⋊C4—441no—
1383C22⋊C4—441no—
1384C22⋊C4—441no—
1385C22⋊C4—441no—
1386C22⋊C4—441no—
1387C22⋊C4—441no—
1388C22⋊C4—441no—
1389C22⋊C4—441no—
1390C42—22no—
1391C42—222no—
1392C42—222no—
1393C42—222no—
1394C42—441no—
1395C42—441no—
1396C11#3674011yescharacteristic, complemented, Sylow
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—112no—
1409C23—112no—
1410C23—221no—
1411C23—221no—
1412C23—221no—
1413C23—221no—
1414C23—221no—
1415C23—221no—
1416C23—221no—
1417C23—221no—
1418C23—221no—
1419C23—221no—
1420C23—221no—
1421C23—221no—
1422C23—228no—
1423C23—221no—
1424C23—221no—
1425C23—221no—
1426C23—221no—
1427C23—221no—
1428C23—221no—
1429C23—221no—
1430C23—444no—
1431C23—444no—
1432C23—882no—
1433C23—882no—
1434C23—882no—
1435C23—882no—
1436C23C2×D4×D1112yes—
1437C23#6704012yes—
1438C23#6704312yes—
1439C23C24×D1111yescharacteristic
1440Q8—82no—
1441Q8—882no—
1442Q8—882no—
1443Q8—882no—
1444Q8—882no—
1445D4—44no—
1446D4—444no—
1447D4—882no—
1448D4—882no—
1449D4—882no—
1450D4—882no—
1451D4—882no—
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—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—44no—
1489C2×C4—44no—
1490C2×C4—82no—
1491C2×C4—82no—
1492C2×C4—112no—
1493C2×C4—112no—
1494C2×C4—112no—
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—221no—
1511C2×C4—221no—
1512C2×C4—221no—
1513C2×C4—221no—
1514C2×C4—221no—
1515C2×C4—221no—
1516C2×C4—221no—
1517C2×C4—221no—
1518C2×C4—221no—
1519C2×C4—221no—
1520C2×C4—221no—
1521C2×C4—221no—
1522C2×C4—221no—
1523C2×C4—221no—
1524C2×C4—221no—
1525C2×C4—221no—
1526C2×C4—221no—
1527C2×C4—221no—
1528C2×C4—221no—
1529C2×C4—221no—
1530C2×C4—221no—
1531C2×C4—444no—
1532C2×C4—444no—
1533C2×C4—882no—
1534C2×C4—882no—
1535C2×C4—882no—
1536C2×C4—882no—
1537C2×C4—882no—
1538C2×C4—882no—
1539C2×C4C2×D4×D1112yes—
1540C2×C4C2×D4×D1112yes—
1541C2×C4#6704212yes—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—222no—
1556C22—222no—
1557C22—222no—
1558C22—222no—
1559C22—222no—
1560C22—222no—
1561C22—441no—
1562C22—441no—
1563C22—441no—
1564C22—441no—
1565C22—441no—
1566C22—441no—
1567C22—441no—
1568C22—441no—
1569C22—441no—
1570C22—441no—
1571C22—441no—
1572C22—441no—
1573C22—441no—
1574C22—441no—
1575C22—441no—
1576C22—888no—
1577C22#1062315914yes—
1578C22C22×D4×D1111yescharacteristic
1579C22C2×#6704011yescharacteristic
1580C22C2×#6704211yescharacteristic
1581C22C2×#6704311yescharacteristic
1582C22#1062345311yescharacteristic
1583C22D11×H(5,𝔽2)11yescharacteristic
1584C22#1062345511yescharacteristic
1585C4—22no—
1586C4—22no—
1587C4—22no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—222no—
1599C4—222no—
1600C4—222no—
1601C4—441no—
1602C4—441no—
1603C4—441no—
1604C4—441no—
1605C4—441no—
1606C4—441no—
1607C4—441no—
1608C4—441no—
1609C4—441no—
1610C4—441no—
1611C2—24no—
1612C2—81no—
1613C2—442no—
1614C2—442no—
1615C2—881no—
1616C2C2×#1062315911yescharacteristic
1617C2#1308237711yescharacteristic
1618C2#1308237811yescharacteristic
1619C2#1308282111yescharacteristic
1620C2#1308284411yescharacteristic
1621C2#1308317411yescharacteristic
1622C2#1308323911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2564C2
prime radicalC2×#10623091C2
hypercenter#2564D11
hypocenterC11#36740
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2564

Complements

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

NH ≅ G/Ntype
1. C2×#10623165C2semidirect
3. #13076966C2semidirect
4. #13076913C2semidirect
5. #13075221C2semidirect
6. #13075215C2semidirect
7. #13075197C2semidirect
8. #13075191C2semidirect
9. #13075072C2semidirect
10. #13075070C2semidirect
11. #13075042C2semidirect
12. #13075040C2semidirect
13. #13074975C2semidirect
14. #13074969C2semidirect
15. #13074960C2semidirect
16. #13074958C2semidirect
17. #13074902C2semidirect
18. #13074900C2semidirect
19. #13074872C2semidirect
20. #13074870C2semidirect
21. #13074733C2semidirect
22. #13074546C2semidirect
23. #13073796C2semidirect
24. #13072068C2semidirect
25. #13072067C2semidirect
26. #13072011C2semidirect
27. #13072011C2semidirect
28. #13072009C2semidirect
29. #13072009C2semidirect
30. C2×#10622283C2semidirect
31. C11×#2564C2semidirect
36. C2×#66999C22semidirect
47. C2×#66977C22semidirect
61. C2×#66941C22semidirect
63. C2×#66938C22semidirect
75. C11×#400C22semidirect
76. C11×#399C22semidirect
77. C11×#395C22semidirect
78. C11×#393C22semidirect
79. C11×#387C22semidirect
80. C11×#387C22semidirect
83. C11×#385C22semidirect
84. C11×#385C22semidirect
88. #10622843C22semidirect
95. #10622825C22semidirect
97. #10622607C22semidirect
98. #10622607C22semidirect
105. #10622600C22semidirect
106. #10622598C22semidirect
107. #10622597C22semidirect
108. #10622597C22semidirect
109. #10622597C22semidirect
110. #10622597C22semidirect
111. #10622597C22semidirect
112. #10622597C22semidirect
113. #10622592C22semidirect
114. #10622592C22semidirect
115. #10622589C22semidirect
116. #10622586C22semidirect
117. #10622586C22semidirect
120. #10622574C22semidirect
123. #10622572C22semidirect
126. #10622570C22semidirect
129. #10622565C22semidirect
130. #10622564C22semidirect
131. #10622561C22semidirect
132. #10622561C22semidirect
133. #10622560C22semidirect
134. #10622557C22semidirect
139. #10622542C22semidirect
140. #10622541C22semidirect
141. #10622290C22semidirect
146. #10622288C22semidirect
149. #10622286C22semidirect
150. #10622286C22semidirect
161. #10622283C22semidirect
162. #10622282C22semidirect
165. #10622281C22semidirect
166. #10622281C22semidirect
173. #10622273C22semidirect
174. #10622272C22semidirect
175. #10622271C22semidirect
176. #10622270C22semidirect
177. #10622270C22semidirect
178. #10622269C22semidirect
179. #10622269C22semidirect
180. #10622269C22semidirect
181. #10622266C22semidirect
182. #10622266C22semidirect
183. #10622263C22semidirect
184. #10622260C22semidirect
185. #10622260C22semidirect
186. #10622259C22semidirect
187. #10622259C22semidirect
188. #10622259C22semidirect
609. #2564D11semidirect
808. #400C2×D11semidirect
810. #399C2×D11semidirect
838. #395C2×D11semidirect
852. #393C2×D11semidirect
879. #387C2×D11semidirect
880. #387C2×D11semidirect
899. #385C2×D11semidirect
900. #385C2×D11semidirect
1396. C11#36740semidirect

Maximal subgroups

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

subgroupindex
C2×#106231652
C2×#106230912
#130769662
#130769132
#130752212
#130752152
#130751972
#130751912
#130750722
#130750702
#130750422
#130750402
#130749752
#130749692
#130749602
#130749582
#130749022
#130749002
#130748722
#130748702
#130747332
#130745462
#130737962
#130720682
#130720672
#130720112
#130720092
C2×#106222832
C11×#25642
#3674011