Finite Group Databasebeta

← #14960719

Subgroups — #14960719

Order 2816.

2406 conjugacy classes of subgroups.

The subgroup lattice has 1628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623235C211yesmaximal, characteristic
2C2×D11×C22⋊Q8C211yesmaximal, characteristic, complemented
3#13076911C211yesmaximal, characteristic, complemented
4#13076909C211yesmaximal, characteristic, complemented
5#13075217C211yesmaximal, characteristic, complemented
6#13075216C211yesmaximal, characteristic, complemented
7#13075215C211yesmaximal, characteristic, complemented
8#13075214C211yesmaximal, characteristic, complemented
9#13075189C211yesmaximal, characteristic, complemented
10#13075187C211yesmaximal, characteristic, complemented
11#13075184C211yesmaximal, characteristic, complemented
12#13074966C211yesmaximal, characteristic, complemented
13#13074964C211yesmaximal, characteristic, complemented
14#13074963C211yesmaximal, characteristic, complemented
15#13074961C211yesmaximal, characteristic, complemented
16#13074960C211yesmaximal, characteristic, complemented
17#13074958C211yesmaximal, characteristic, complemented
18#13074957C211yesmaximal, characteristic, complemented
19#13074952C211yesmaximal, characteristic, complemented
20#13074390C211yesmaximal, characteristic, complemented
21#13074390C211yesmaximal, characteristic, complemented
22#13074092C211yesmaximal, characteristic, complemented
23#13073994C211yesmaximal, characteristic, complemented
24#13073967C211yesmaximal, characteristic, complemented
25#13073964C211yesmaximal, characteristic, complemented
26#13073105C211yesmaximal, characteristic, complemented
27#13073089C211yesmaximal, characteristic, complemented
28#13071979C211yesmaximal, characteristic, complemented
29#13071976C211yesmaximal, characteristic, complemented
30#13071210C211yesmaximal, characteristic, complemented
31C11×#2698C211yesmaximal, characteristic, complemented
32C22×Q8×D11C2211yescharacteristic
33C23×C4×D11C2211yescharacteristic
34C2×C11×#126C2211yescharacteristic
35C2×C11×C22⋊Q8C2211yescharacteristic
36C2×#66999C2211yescharacteristic
37C2×#66999C2211yescharacteristic, complemented
38C2×#66982C2211yescharacteristic
39C2×#66977C2211yescharacteristic
40#10623235—28no—
41D11×C22⋊Q8—28no—
42C2×#66951C2211yescharacteristic
43C2×#66950C2211yescharacteristic
44C2×#66950C2211yescharacteristic, complemented
45C2×#66949C2211yescharacteristic
46C2×#66949C2211yescharacteristic
47C2×#66949C2211yescharacteristic
48C2×#66949C2211yescharacteristic, complemented
49C2×#66949C2211yescharacteristic, complemented
50C2×#66948C2211yescharacteristic
51C2×#66948C2211yescharacteristic
52C2×#66947C2211yescharacteristic
53C2×#66947C2211yescharacteristic
54C2×#66947C2211yescharacteristic
55C2×#66946C2211yescharacteristic
56C2×C4⋊C4×D11C2211yescharacteristic
57C2×C4⋊C4×D11C2211yescharacteristic
58C2×C4⋊C4×D11C2211yescharacteristic
59C2×#66939C2211yescharacteristic
60C2×#66938C2211yescharacteristic
61C2×#66937C2211yescharacteristic
62C2×#66936C2211yescharacteristic
63C2×#66935C2211yescharacteristic
64C2×#66935C2211yescharacteristic
65C2×C22⋊C4×D11C2211yescharacteristic
66C2×C22⋊C4×D11C2211yescharacteristic
67C2×#66931C2211yescharacteristic
68C2×#66931C2211yescharacteristic
69C2×#66928C2211yescharacteristic
70C2×C4×D44C2211yescharacteristic
71C11×#400C2211yescharacteristic, complemented
72C11×#398C2211yescharacteristic, complemented
73C11×#398C2211yescharacteristic, complemented
74C11×#397C2211yescharacteristic
75C11×#397C2211yescharacteristic
76C11×#395C2211yescharacteristic, complemented
77C11×#391C2211yescharacteristic, complemented
78C11×#389C2211yescharacteristic, complemented
79C11×#388C2211yescharacteristic
80C11×#387C2211yescharacteristic, complemented
81C11×#385C2211yescharacteristic
82C11×#382C2211yescharacteristic, complemented
83C11×#381C2211yescharacteristic
84#10622844C2211yescharacteristic, complemented
85#10622826C2211yescharacteristic
86#10622607C2211yescharacteristic, complemented
87#10622607C2211yescharacteristic, complemented
88#10622607C2211yescharacteristic, complemented
89#10622604C2211yescharacteristic
90#10622604C2211yescharacteristic
91#10622604C2211yescharacteristic, complemented
92#10622603C2211yescharacteristic
93#10622602C2211yescharacteristic
94#10622602C2211yescharacteristic
95#10622602C2211yescharacteristic
96#10622602C2211yescharacteristic
97#10622602C2211yescharacteristic, complemented
98#10622602C2211yescharacteristic, complemented
99#10622601C2211yescharacteristic, complemented
100#10622600C2211yescharacteristic
101#10622597C2211yescharacteristic, complemented
102#10622597C2211yescharacteristic, complemented
103#10622596C2211yescharacteristic, complemented
104#10622595C2211yescharacteristic, complemented
105#10622593C2211yescharacteristic, complemented
106#10622592C2211yescharacteristic, complemented
107#10622592C2211yescharacteristic, complemented
108#10622590C2211yescharacteristic, complemented
109#10622589C2211yescharacteristic, complemented
110#10622589C2211yescharacteristic, complemented
111#10622585C2211yescharacteristic, complemented
112#10622585C2211yescharacteristic, complemented
113#10622574C2211yescharacteristic
114#10622574C2211yescharacteristic
115#10622572C2211yescharacteristic
116#10622572C2211yescharacteristic
117#10622571C2211yescharacteristic
118#10622568C2211yescharacteristic
119#10622568C2211yescharacteristic
120#10622565C2211yescharacteristic
121#10622565C2211yescharacteristic
122#10622564C2211yescharacteristic
123#10622559C2211yescharacteristic
124#10622558C2211yescharacteristic
125#10622557C2211yescharacteristic
126#10622556C2211yescharacteristic
127#10622553C2211yescharacteristic
128#10622552C2211yescharacteristic, complemented
129C4×(C2×D11)⋊C4C2211yescharacteristic
130#10622546C2211yescharacteristic, complemented
131#10622542C2211yescharacteristic, complemented
132#10622541C2211yescharacteristic, complemented
133#10622289C2211yescharacteristic, complemented
134#10622288C2211yescharacteristic
135#10622288C2211yescharacteristic
136#10622288C2211yescharacteristic, complemented
137#10622288C2211yescharacteristic, complemented
138#10622288C2211yescharacteristic, complemented
139#10622288C2211yescharacteristic, complemented
140#10622287C2211yescharacteristic
141#10622287C2211yescharacteristic
142#10622286C2211yescharacteristic, complemented
143#10622286C2211yescharacteristic, complemented
144#10622286C2211yescharacteristic, complemented
145#10622285C2211yescharacteristic
146#10622285C2211yescharacteristic
147#10622285C2211yescharacteristic, complemented
148#10622283C2211yescharacteristic
149#10622283C2211yescharacteristic, complemented
150#10622283C2211yescharacteristic, complemented
151#10622282C2211yescharacteristic
152#10622282C2211yescharacteristic, complemented
153#10622282C2211yescharacteristic, complemented
154#10622281C2211yescharacteristic
155#10622281C2211yescharacteristic
156#10622281C2211yescharacteristic
157#10622281C2211yescharacteristic
158#10622281C2211yescharacteristic
159#10622281C2211yescharacteristic
160#10622281C2211yescharacteristic, complemented
161#10622281C2211yescharacteristic, complemented
162#10622280C2211yescharacteristic
163#10622279C2211yescharacteristic
164#10622278C2211yescharacteristic
165#10622278C2211yescharacteristic
166#10622278C2211yescharacteristic
167#10622278C2211yescharacteristic
168#10622278C2211yescharacteristic
169#10622278C2211yescharacteristic
170#10622278C2211yescharacteristic
171#10622278C2211yescharacteristic
172#10622278C2211yescharacteristic
173#10622278C2211yescharacteristic
174#10622277C2211yescharacteristic
175#10622277C2211yescharacteristic
176#10622274C2211yescharacteristic, complemented
177#10622274C2211yescharacteristic, complemented
178#10622270C2211yescharacteristic, complemented
179#10622270C2211yescharacteristic, complemented
180#10622269C2211yescharacteristic, complemented
181#10622269C2211yescharacteristic, complemented
182#10622269C2211yescharacteristic, complemented
183#10622268C2211yescharacteristic, complemented
184#10622267C2211yescharacteristic, complemented
185#10622259C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187#10622259C2211yescharacteristic, complemented
188#10622259C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C22×Q8×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C22×C22⋊D11C2311yescharacteristic
193C22×C22⋊D11C2311yescharacteristic
194C23×Dic11C2311yescharacteristic
195C2×Q8×D11—24no—
196C2×Q8×D11—42no—
197C2×Q8×D11—42no—
198C22×D44C2311yescharacteristic
199C22×D44C2311yescharacteristic
200C22×D44C2311yescharacteristic
201C22×D44C2311yescharacteristic
202C22×D44C2311yescharacteristic
203C22×C4×D11—24no—
204C22×C4×D11—42no—
205C22×C4×D11—42no—
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×C4×D11C2311yescharacteristic
215C22×C4×D11C2311yescharacteristic
216C22×Dic22C2311yescharacteristic
217C22×Dic22C2311yescharacteristic
218C22×Dic22C2311yescharacteristic
219C22×Dic22C2311yescharacteristic
220C11×#126—24no—
221C11×C22⋊Q8—24no—
222C2×C11×C4⋊C4C2311yescharacteristic
223C2×C11×C4⋊C4C2311yescharacteristic
224C2×C11×C4⋊C4C2311yescharacteristic
225C2×C11×C4⋊C4C2311yescharacteristic
226C2×C11×C4⋊C4C2311yescharacteristic
227C2×C11×C4⋊C4C2311yescharacteristic
228C2×C11×C4⋊C4C2311yescharacteristic
229C2×C11×C4⋊C4C2311yescharacteristic
230C2×C11×C4⋊C4C2311yescharacteristic
231C2×C11×C4⋊C4C2311yescharacteristic
232C2×C11×C4⋊C4C2311yescharacteristic
233C2×C11×C22⋊C4C2311yescharacteristic
234C2×C11×C22⋊C4C2311yescharacteristic
235C2×C11×C22⋊C4C2311yescharacteristic
236C2×C11×C22⋊C4C2311yescharacteristic
237C2×C11×C22⋊C4C2311yescharacteristic
238C2×C11×C22⋊C4C2311yescharacteristic
239C2×C42×C11C2311yescharacteristic
240C2×C42×C11C2311yescharacteristic
241C2×C22⋊Dic11C2311yescharacteristic
242C2×C22⋊Dic11C2311yescharacteristic
243C2×C22⋊Dic11C2311yescharacteristic
244C2×C22⋊Dic11C2311yescharacteristic
245#66999—24no—
246#66999—42no—
247#66982—42no—
248C2×(C2×D11)⋊C4C2311yescharacteristic
249C2×(C2×D11)⋊C4C2311yescharacteristic
250C2×(C2×D11)⋊C4C2311yescharacteristic
251C2×(C2×D11)⋊C4C2311yescharacteristic
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×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
293#66977—24no—
294C2×Dic11⋊C4C2311yescharacteristic
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×Dic11⋊C4C2311yescharacteristic
310C2×Dic11⋊C4C2311yescharacteristic
311C2×Dic11⋊C4C2311yescharacteristic
312C2×C4×Dic11C2311yescharacteristic
313C2×C4×Dic11C2311yescharacteristic
314C2×C4×Dic11C2311yescharacteristic
315C2×C4×Dic11C2311yescharacteristic
316#66951—24no—
317#66950—24no—
318#66950—42no—
319#66949—24no—
320#66949—24no—
321#66949—24no—
322#66949—42no—
323#66949—42no—
324#66948—24no—
325#66948—24no—
326#66947—24no—
327#66947—42no—
328#66947—42no—
329#66946—24no—
330C4⋊C4×D11—24no—
331C4⋊C4×D11—24no—
332C4⋊C4×D11—24no—
333#66939—42no—
334#66938—24no—
335#66937—24no—
336#66936—24no—
337#66935—24no—
338#66935—24no—
339C22⋊C4×D11—24no—
340C22⋊C4×D11D418yes—
341#66931—24no—
342#66931—24no—
343#66928—24no—
344C4×D44—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#36716—111nomaximal, Sylow
386C24×C11C2411yescharacteristic
387C23×D11—22no—
388C23×D11—22no—
389C23×D11—41no—
390C23×D11—41no—
391C23×D11—41no—
392C23×D11—41no—
393C23×D11C2×D414yes—
394C23×D11C2411yescharacteristic
395C23×D11C2411yescharacteristic
396C23×D11C2411yescharacteristic
397C23×D11C2411yescharacteristic
398C2×Q8×C11—22no—
399C2×Q8×C11—22no—
400C2×Q8×C11—41no—
401C22×C4×C11—22no—
402C22×C4×C11—22no—
403C22×C4×C11—41no—
404C22×C4×C11C2411yescharacteristic
405C22×C4×C11C2411yescharacteristic
406C22×C4×C11C2411yescharacteristic
407C22×C4×C11C2411yescharacteristic
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
418C2×C22⋊D11—22no—
419C2×C22⋊D11—22no—
420C2×C22⋊D11—41no—
421C2×C22⋊D11—41no—
422C2×C22⋊D11—41no—
423C2×C22⋊D11—41no—
424C22×Dic11—22no—
425C22×Dic11—22no—
426C22×Dic11—41no—
427C22×Dic11C2411yescharacteristic
428C22×Dic11C2411yescharacteristic
429C22×Dic11C2411yescharacteristic
430C22×Dic11C2411yescharacteristic
431C22×Dic11C2411yescharacteristic
432C22×Dic11C2411yescharacteristic
433C22×Dic11C2411yescharacteristic
434C22×Dic11C2411yescharacteristic
435C22×Dic11C2411yescharacteristic
436C22×Dic11C2411yescharacteristic
437C22×Dic11C2411yescharacteristic
438C22×Dic11C2411yescharacteristic
439Q8×D11—416no—
440C2×D44—22no—
441C2×D44—22no—
442C2×D44—22no—
443C2×D44—22no—
444C2×D44—22no—
445C2×D44—22no—
446C2×D44—22no—
447C2×D44—22no—
448C2×D44—22no—
449C2×D44—41no—
450C2×D44—41no—
451C2×D44—41no—
452C2×D44—41no—
453C2×D44—41no—
454C2×D44—41no—
455C2×C4×D11—22no—
456C2×C4×D11—22no—
457C2×C4×D11—22no—
458C2×C4×D11—22no—
459C2×C4×D11—22no—
460C2×C4×D11—22no—
461C2×C4×D11—22no—
462C2×C4×D11—22no—
463C2×C4×D11—22no—
464C2×C4×D11—22no—
465C2×C4×D11—22no—
466C2×C4×D11—22no—
467C2×C4×D11—41no—
468C2×C4×D11—41no—
469C2×C4×D11—41no—
470C2×C4×D11—41no—
471C2×C4×D11—41no—
472C2×C4×D11—41no—
473C2×C4×D11—41no—
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—416no—
484C2×C4×D11C2×D414yes—
485C2×C4×D11C2×D414yes—
486C2×Dic22—22no—
487C2×Dic22—22no—
488C2×Dic22—22no—
489C2×Dic22—22no—
490C2×Dic22—22no—
491C2×Dic22—22no—
492C2×Dic22—22no—
493C2×Dic22—41no—
494C2×Dic22—41no—
495C2×Dic22—41no—
496C2×Dic22—41no—
497C2×Dic22—41no—
498C11×C4⋊C4—22no—
499C11×C4⋊C4—22no—
500C11×C4⋊C4—22no—
501C11×C4⋊C4—22no—
502C11×C4⋊C4—22no—
503C11×C4⋊C4—22no—
504C11×C4⋊C4—22no—
505C11×C4⋊C4—41no—
506C11×C4⋊C4—41no—
507C11×C4⋊C4—41no—
508C11×C4⋊C4—41no—
509C11×C22⋊C4—22no—
510C11×C22⋊C4—22no—
511C11×C22⋊C4—22no—
512C11×C22⋊C4—41no—
513C11×C22⋊C4—41no—
514C11×C22⋊C4C2×D414yes—
515C42×C11—22no—
516C42×C11—41no—
517C22⋊Dic11—22no—
518C22⋊Dic11—41no—
519C22⋊Dic11—41no—
520C22⋊Dic11C2×D414yes—
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—22no—
538(C2×D11)⋊C4—22no—
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)⋊C4—41no—
548(C2×D11)⋊C4—41no—
549(C2×D11)⋊C4—41no—
550(C2×D11)⋊C4—41no—
551(C2×D11)⋊C4—41no—
552(C2×D11)⋊C4—41no—
553(C2×D11)⋊C4—41no—
554(C2×D11)⋊C4—41no—
555(C2×D11)⋊C4C2×D414yes—
556(C2×D11)⋊C4C2×D414yes—
557C4⋊Dic11—22no—
558C4⋊Dic11—22no—
559C4⋊Dic11—22no—
560C4⋊Dic11—22no—
561C4⋊Dic11—22no—
562C4⋊Dic11—41no—
563C4⋊Dic11—41no—
564C4⋊Dic11—41no—
565C4⋊Dic11—41no—
566Dic11⋊C4—22no—
567Dic11⋊C4—22no—
568Dic11⋊C4—22no—
569Dic11⋊C4—22no—
570Dic11⋊C4—22no—
571Dic11⋊C4—22no—
572Dic11⋊C4—22no—
573Dic11⋊C4—22no—
574Dic11⋊C4—22no—
575Dic11⋊C4—22no—
576Dic11⋊C4—41no—
577Dic11⋊C4—41no—
578Dic11⋊C4—41no—
579Dic11⋊C4—41no—
580Dic11⋊C4—41no—
581Dic11⋊C4—41no—
582Dic11⋊C4—41no—
583Dic11⋊C4—41no—
584C4×Dic11—22no—
585C4×Dic11—41no—
586C4×Dic11—41no—
587C4×Dic11—41no—
588C2×#538—111no—
589C22×C22⋊Q8—111no—
590#2849—111no—
591#2849—111no—
592#2700—111no—
593#2700—111no—
594#2700—111no—
595#2700—111no—
596#2698—111no—
597#2698—111no—
598#2698—111no—
599#2698D1111yescharacteristic, complemented
600#2681—111no—
601#2681—111no—
602#2681—111no—
603#2681—111no—
604#2680—111no—
605#2680—111no—
606#2680—111no—
607#2680—111no—
608#2622—111no—
609#2622—111no—
610#2591—111no—
611#2583—111no—
612#2579—111no—
613#2579—111no—
614#2504—111no—
615#2502—111no—
616#2409—111no—
617#2409—111no—
618#2312—111no—
619C23×C11—21no—
620C23×C11—21no—
621C23×C11—21no—
622C23×C11—21no—
623C23×C11—21no—
624C23×C11—21no—
625C23×C11C22×D412yes—
626C23×C11C2511yescharacteristic
627C22×D11—21no—
628C22×D11—21no—
629C22×D11—21no—
630C22×D11—21no—
631C22×D11—21no—
632C22×D11—21no—
633C22×D11—21no—
634C22×D11—21no—
635C22×D11—21no—
636C22×D11—21no—
637C22×D11—28no—
638C22×D11—21no—
639C22×D11—21no—
640C22×D11—21no—
641C22×D11—21no—
642C22×D11—21no—
643C22×D11—21no—
644C22×D11—21no—
645C22×D11—21no—
646C22×D11—21no—
647C22×D11—21no—
648C22×D11—21no—
649C22×D11—21no—
650C22×D11—21no—
651C22×D11—21no—
652C22×D11—44no—
653C22×D11—44no—
654C22×D11—44no—
655C22×D11—44no—
656C22×D11—44no—
657C22×D11—44no—
658C22×D11C22×D412yes—
659C22×D11C22×D412yes—
660C22×D112−1+412yes—
661C22×D112−1+412yes—
662Q8×C11—44no—
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—21no—
699C2×C4×C11—21no—
700C2×C4×C11—21no—
701C2×C4×C11—21no—
702C2×C4×C11—44no—
703C2×C4×C11C22×D412yes—
704C2×C4×C11C22×D412yes—
705C2×C4×C11H(5,𝔽2)12yes—
706C22⋊D11—82no—
707C22⋊D11—82no—
708C2×Dic11—21no—
709C2×Dic11—21no—
710C2×Dic11—21no—
711C2×Dic11—21no—
712C2×Dic11—21no—
713C2×Dic11—21no—
714C2×Dic11—21no—
715C2×Dic11—21no—
716C2×Dic11—21no—
717C2×Dic11—21no—
718C2×Dic11—21no—
719C2×Dic11—21no—
720C2×Dic11—21no—
721C2×Dic11—21no—
722C2×Dic11—21no—
723C2×Dic11—21no—
724C2×Dic11—21no—
725C2×Dic11—21no—
726C2×Dic11—21no—
727C2×Dic11—21no—
728C2×Dic11—21no—
729C2×Dic11—21no—
730C2×Dic11—21no—
731C2×Dic11—21no—
732C2×Dic11—21no—
733C2×Dic11—21no—
734C2×Dic11—21no—
735C2×Dic11—21no—
736C2×Dic11—21no—
737C2×Dic11—21no—
738C2×Dic11—21no—
739C2×Dic11—21no—
740C2×Dic11—21no—
741C2×Dic11—44no—
742C2×Dic11C22×D412yes—
743C2×Dic11C22×D412yes—
744C2×Dic11H(5,𝔽2)12yes—
745D44—44no—
746D44—44no—
747D44—82no—
748D44—82no—
749D44—82no—
750C4×D11—28no—
751C4×D11—44no—
752C4×D11—44no—
753C4×D11—44no—
754C4×D11—44no—
755C4×D11—44no—
756C4×D11—44no—
757C4×D11—44no—
758C4×D11—82no—
759C4×D11—82no—
760Dic22—44no—
761Dic22—44no—
762Dic22—44no—
763Dic22—82no—
764C23×Q8—111no—
765C24×C4—111no—
766#538—228no—
767C2×#126—111no—
768C2×#126C2×D1111yescharacteristic
769C2×#124—111no—
770C2×#124—111no—
771C2×#123—111no—
772C2×#123—111no—
773C2×#123—111no—
774C2×#123—111no—
775C2×#123—111no—
776C2×#123—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—228no—
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×D4—111no—
798C22×C4⋊C4—111no—
799C22×C4⋊C4—111no—
800C22×C4⋊C4—111no—
801C22×C22⋊C4—111no—
802C22×C22⋊C4—111no—
803#400—111no—
804#400C2×D1111yescharacteristic, complemented
805#398—111no—
806#398—111no—
807#398—111no—
808#398—111no—
809#398—111no—
810#398—111no—
811#398—111no—
812#398—111no—
813#398C2×D1111yescharacteristic, complemented
814#398C2×D1111yescharacteristic, complemented
815#397—111no—
816#397—111no—
817#397—111no—
818#397—111no—
819#397—111no—
820#397—111no—
821#397—111no—
822#397—111no—
823#397—111no—
824#397—111no—
825#397C2×D1111yescharacteristic
826#397C2×D1111yescharacteristic
827#396—111no—
828#396—111no—
829#396—111no—
830#396—111no—
831#395—111no—
832#395—111no—
833#395—111no—
834#395—111no—
835#395—111no—
836#395C2×D1111yescharacteristic, complemented
837#394—111no—
838#394—111no—
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#393—111no—
848#393—111no—
849#393—111no—
850#393—111no—
851#391—111no—
852#391—111no—
853#391—111no—
854#391—111no—
855#391—111no—
856#391C2×D1111yescharacteristic, complemented
857#390—111no—
858#390—111no—
859#389—111no—
860#389—111no—
861#389—111no—
862#389C2×D1111yescharacteristic, complemented
863#388—111no—
864#388—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#388C2×D1111yescharacteristic
875#387—111no—
876#387—111no—
877#387—111no—
878#387C2×D1111yescharacteristic, complemented
879#386—111no—
880#386—111no—
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#385—111no—
892#385—111no—
893#385—111no—
894#385—111no—
895#385—111no—
896#385—111no—
897#385—111no—
898#385—111no—
899#385—111no—
900#385—111no—
901#385—111no—
902#385—111no—
903#385—111no—
904#385—111no—
905#385—111no—
906#385C2×D1111yescharacteristic
907#384—111no—
908#384—111no—
909#382—111no—
910#382C2×D1111yescharacteristic, complemented
911#381—111no—
912#381—111no—
913#381—111no—
914#381C2×D1111yescharacteristic
915#380—111no—
916#380—111no—
917#379—111no—
918#379—111no—
919C4×C22⋊C4—111no—
920C4×C22⋊C4—111no—
921C22×C11—22no—
922C22×C11—22no—
923C22×C11—22no—
924C22×C11—41no—
925C22×C11—41no—
926C22×C11—41no—
927C22×C11—41no—
928C22×C11C23×D411yescharacteristic
929C22×C11C2×H(5,𝔽2)11yescharacteristic
930C22×C11C2×H(5,𝔽2)11yescharacteristic
931C22×C11C2×2−1+411yescharacteristic
932C22×C11C2×2−1+411yescharacteristic
933C22×C11#58511yescharacteristic
934C22×C11#58511yescharacteristic
935C2×D11—22no—
936C2×D11—22no—
937C2×D11—22no—
938C2×D11—22no—
939C2×D11—22no—
940C2×D11—22no—
941C2×D11—22no—
942C2×D11—22no—
943C2×D11—22no—
944C2×D11—416no—
945C2×D11—41no—
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—41no—
962C2×D11—41no—
963C2×D11#53614yes—
964C4×C11—22no—
965C4×C11—22no—
966C4×C11—22no—
967C4×C11—41no—
968C4×C11—41no—
969C4×C11—41no—
970C4×C11—41no—
971C4×C11—41no—
972C4×C11—41no—
973C4×C11—41no—
974C4×C11—41no—
975C4×C11—41no—
976C4×C11—41no—
977C4×C11—41no—
978Dic11—22no—
979Dic11—22no—
980Dic11—22no—
981Dic11—41no—
982Dic11—41no—
983Dic11—41no—
984Dic11—41no—
985Dic11—41no—
986Dic11—41no—
987Dic11—41no—
988Dic11—41no—
989Dic11—41no—
990C25—111no—
991C22×Q8—111no—
992C22×Q8—111no—
993C22×Q8—111no—
994C22×Q8—111no—
995C22×Q8—224no—
996C22×Q8—442no—
997C22×Q8—442no—
998C22×Q8C22×D1111yescharacteristic
999C22×D4—111no—
1000C22×D4—111no—
1001C22×D4—111no—
1002C22×D4—111no—
1003C22×D4—111no—
1004C22×D4—111no—
1005C22×D4—111no—
1006C23×C4—111no—
1007C23×C4—111no—
1008C23×C4—111no—
1009C23×C4—111no—
1010C23×C4—111no—
1011C23×C4—111no—
1012C23×C4—111no—
1013C23×C4—111no—
1014C23×C4—111no—
1015C23×C4—111no—
1016C23×C4—111no—
1017C23×C4—224no—
1018C23×C4—442no—
1019C23×C4—442no—
1020C23×C4C22×D1111yescharacteristic
1021#126—24no—
1022#126—224no—
1023#124—224no—
1024#124—224no—
1025#123—224no—
1026#123—224no—
1027#123—442no—
1028#123—442no—
1029#123—442no—
1030#123—442no—
1031C22⋊Q8—24no—
1032C22⋊Q8—224no—
1033C22⋊Q8—224no—
1034C22⋊Q8—224no—
1035C22⋊Q8—224no—
1036C22⋊Q8—224no—
1037C22⋊Q8—224no—
1038C22⋊Q8—224no—
1039C22⋊Q8—224no—
1040C22⋊Q8—442no—
1041C22⋊Q8—442no—
1042C22⋊Q8—442no—
1043C22⋊Q8—442no—
1044#121—224no—
1045#121—224no—
1046#121—224no—
1047#120—224no—
1048#120—224no—
1049C4×D4—224no—
1050C4×D4—224no—
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—111no—
1078C2×C4⋊C4—224no—
1079C2×C4⋊C4—224no—
1080C2×C4⋊C4—224no—
1081C2×C4⋊C4C22×D1111yescharacteristic
1082C2×C4⋊C4C22×D1111yescharacteristic
1083C2×C4⋊C4C22×D1111yescharacteristic
1084C2×C4⋊C4C22×D1111yescharacteristic
1085C2×C4⋊C4C22×D1111yescharacteristic
1086C2×C4⋊C4C22×D1111yescharacteristic
1087C2×C4⋊C4C22×D1111yescharacteristic
1088C2×C4⋊C4C22×D1111yescharacteristic
1089C2×C4⋊C4C22×D1111yescharacteristic
1090C2×C4⋊C4C22×D1111yescharacteristic
1091C2×C4⋊C4C22×D1111yescharacteristic
1092C2×C22⋊C4—111no—
1093C2×C22⋊C4—111no—
1094C2×C22⋊C4—111no—
1095C2×C22⋊C4—118no—
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—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—224no—
1134C2×C22⋊C4C22×D1111yescharacteristic
1135C2×C22⋊C4C22×D1111yescharacteristic
1136C2×C22⋊C4C22×D1111yescharacteristic
1137C2×C22⋊C4C22×D1111yescharacteristic
1138C2×C22⋊C4C22×D1111yescharacteristic
1139C2×C22⋊C4C22×D1111yescharacteristic
1140C2×C42—111no—
1141C2×C42—111no—
1142C2×C42—111no—
1143C2×C42—111no—
1144C2×C42C22×D1111yescharacteristic
1145C2×C42C22×D1111yescharacteristic
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
1184#95C22×D1111yescharacteristic
1185#95C22×D1111yescharacteristic
1186C2×C11—42no—
1187C2×C11C2×#53611yescharacteristic
1188C2×C11#348411yescharacteristic
1189C2×C11#348511yescharacteristic
1190C2×C11#354111yescharacteristic
1191C2×C11#354111yescharacteristic
1192C2×C11#354111yescharacteristic
1193C2×C11#354111yescharacteristic
1194D11—24no—
1195D11—42no—
1196D11—81no—
1197D11—81no—
1198C24—111no—
1199C24—111no—
1200C24—114no—
1201C24—111no—
1202C24—111no—
1203C24—222no—
1204C24—222no—
1205C24—441no—
1206C24—441no—
1207C24—441no—
1208C24—441no—
1209C24C23×D1111yescharacteristic
1210C2×Q8—22no—
1211C2×Q8—22no—
1212C2×Q8—41no—
1213C2×Q8—222no—
1214C2×Q8—222no—
1215C2×Q8—222no—
1216C2×Q8—222no—
1217C2×Q8—222no—
1218C2×Q8—222no—
1219C2×Q8—222no—
1220C2×Q8—441no—
1221C2×Q8—441no—
1222C2×Q8—441no—
1223C2×Q8—441no—
1224C2×Q8—441no—
1225C2×Q8—4416no—
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—222no—
1235C2×D4—222no—
1236C2×D4—222no—
1237C2×D4—441no—
1238C2×D4—441no—
1239C2×D4—441no—
1240C2×D4—441no—
1241C2×D4—441no—
1242C2×D4—441no—
1243C2×D4—441no—
1244C2×D4—441no—
1245C2×D4—441no—
1246C2×D4—441no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—41no—
1250C22×C4—111no—
1251C22×C4—111no—
1252C22×C4—111no—
1253C22×C4—114no—
1254C22×C4—114no—
1255C22×C4—111no—
1256C22×C4—111no—
1257C22×C4—111no—
1258C22×C4—111no—
1259C22×C4—111no—
1260C22×C4—111no—
1261C22×C4—111no—
1262C22×C4—111no—
1263C22×C4—111no—
1264C22×C4—222no—
1265C22×C4—222no—
1266C22×C4—222no—
1267C22×C4—222no—
1268C22×C4—222no—
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—222no—
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×C4—441no—
1293C22×C4—441no—
1294C22×C4—4416no—
1295C22×C4—441no—
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
1306C22×C4C23×D1111yescharacteristic
1307C22×C4C23×D1111yescharacteristic
1308C22×C4C23×D1111yescharacteristic
1309C22×C4C23×D1111yescharacteristic
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—41no—
1318C4⋊C4—41no—
1319C4⋊C4—41no—
1320C4⋊C4—41no—
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—222no—
1334C4⋊C4—222no—
1335C4⋊C4—222no—
1336C4⋊C4—441no—
1337C4⋊C4—441no—
1338C4⋊C4—441no—
1339C4⋊C4—441no—
1340C4⋊C4—441no—
1341C4⋊C4—441no—
1342C4⋊C4—441no—
1343C4⋊C4—441no—
1344C4⋊C4—441no—
1345C4⋊C4—441no—
1346C4⋊C4—441no—
1347C4⋊C4—441no—
1348C22⋊C4—22no—
1349C22⋊C4—22no—
1350C22⋊C4—22no—
1351C22⋊C4—41no—
1352C22⋊C4—41no—
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—441no—
1376C22⋊C4—441no—
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—
1390C22⋊C4—441no—
1391C22⋊C4—441no—
1392C22⋊C4—441no—
1393C22⋊C4D4×D1114yes—
1394C42—22no—
1395C42—41no—
1396C42—222no—
1397C42—441no—
1398C42—441no—
1399C42—441no—
1400C11#3671611yescharacteristic, complemented, Sylow
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—112no—
1408C23—112no—
1409C23—112no—
1410C23—112no—
1411C23—228no—
1412C23—221no—
1413C23—221no—
1414C23—221no—
1415C23—221no—
1416C23—221no—
1417C23—221no—
1418C23—221no—
1419C23—221no—
1420C23—221no—
1421C23—221no—
1422C23—221no—
1423C23—221no—
1424C23—221no—
1425C23—221no—
1426C23—221no—
1427C23—221no—
1428C23—221no—
1429C23—221no—
1430C23—221no—
1431C23—221no—
1432C23—221no—
1433C23—221no—
1434C23—221no—
1435C23—221no—
1436C23—444no—
1437C23—444no—
1438C23—444no—
1439C23—444no—
1440C23—444no—
1441C23—444no—
1442C23C2×D4×D1112yes—
1443C23C24×D1111yescharacteristic
1444Q8—44no—
1445Q8—444no—
1446Q8—444no—
1447Q8—444no—
1448Q8—882no—
1449D4—444no—
1450D4—444no—
1451D4—882no—
1452D4—882no—
1453D4—882no—
1454D4—882no—
1455D4—882no—
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—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—44no—
1496C2×C4—112no—
1497C2×C4—112no—
1498C2×C4—112no—
1499C2×C4—228no—
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—221no—
1532C2×C4—221no—
1533C2×C4—444no—
1534C2×C4—444no—
1535C2×C4—444no—
1536C2×C4—444no—
1537C2×C4—444no—
1538C2×C4—444no—
1539C2×C4—444no—
1540C2×C4—444no—
1541C2×C4—882no—
1542C2×C4—882no—
1543C2×C4C2×D4×D1112yes—
1544C2×C4C2×D4×D1112yes—
1545C2×C4#6704212yes—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—114no—
1554C22—222no—
1555C22—222no—
1556C22—222no—
1557C22—222no—
1558C22—222no—
1559C22—222no—
1560C22—222no—
1561C22—222no—
1562C22—222no—
1563C22—4416no—
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—441no—
1577C22—441no—
1578C22—441no—
1579C22—441no—
1580C22—441no—
1581C22—441no—
1582C22C22×D4×D1111yescharacteristic
1583C22C2×#6704211yescharacteristic
1584C22#1062345311yescharacteristic
1585C22D11×H(5,𝔽2)11yescharacteristic
1586C22D11×2−1+411yescharacteristic
1587C22D11×2−1+411yescharacteristic
1588C22#1062345711yescharacteristic
1589C4—22no—
1590C4—22no—
1591C4—22no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—222no—
1604C4—222no—
1605C4—222no—
1606C4—441no—
1607C4—441no—
1608C4—441no—
1609C4—441no—
1610C4—441no—
1611C4—441no—
1612C4—441no—
1613C4—441no—
1614C4—441no—
1615C2—42no—
1616C2—224no—
1617C2—442no—
1618C2—881no—
1619C2—881no—
1620C2D11×#53611yescharacteristic
1621C2#1308224611yescharacteristic
1622C2#1308225511yescharacteristic
1623C2#1308290011yescharacteristic
1624C2#1308290611yescharacteristic
1625C2#1308291211yescharacteristic
1626C2#1308291511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2698C2
prime radicalC2×#10623235C2
hypercenter#2698D11
hypocenterC11#36716
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2698

Complements

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

NH ≅ G/Ntype
2. C2×D11×C22⋊Q8C2semidirect
3. #13076911C2semidirect
4. #13076909C2semidirect
5. #13075217C2semidirect
6. #13075216C2semidirect
7. #13075215C2semidirect
8. #13075214C2semidirect
9. #13075189C2semidirect
10. #13075187C2semidirect
11. #13075184C2semidirect
12. #13074966C2semidirect
13. #13074964C2semidirect
14. #13074963C2semidirect
15. #13074961C2semidirect
16. #13074960C2semidirect
17. #13074958C2semidirect
18. #13074957C2semidirect
19. #13074952C2semidirect
20. #13074390C2semidirect
21. #13074390C2semidirect
22. #13074092C2semidirect
23. #13073994C2semidirect
24. #13073967C2semidirect
25. #13073964C2semidirect
26. #13073105C2semidirect
27. #13073089C2semidirect
28. #13071979C2semidirect
29. #13071976C2semidirect
30. #13071210C2semidirect
31. C11×#2698C2semidirect
37. C2×#66999C22semidirect
44. C2×#66950C22semidirect
48. C2×#66949C22semidirect
49. C2×#66949C22semidirect
71. C11×#400C22semidirect
72. C11×#398C22semidirect
73. C11×#398C22semidirect
76. C11×#395C22semidirect
77. C11×#391C22semidirect
78. C11×#389C22semidirect
80. C11×#387C22semidirect
82. C11×#382C22semidirect
84. #10622844C22semidirect
86. #10622607C22semidirect
87. #10622607C22semidirect
88. #10622607C22semidirect
91. #10622604C22semidirect
97. #10622602C22semidirect
98. #10622602C22semidirect
99. #10622601C22semidirect
101. #10622597C22semidirect
102. #10622597C22semidirect
103. #10622596C22semidirect
104. #10622595C22semidirect
105. #10622593C22semidirect
106. #10622592C22semidirect
107. #10622592C22semidirect
108. #10622590C22semidirect
109. #10622589C22semidirect
110. #10622589C22semidirect
111. #10622585C22semidirect
112. #10622585C22semidirect
128. #10622552C22semidirect
130. #10622546C22semidirect
131. #10622542C22semidirect
132. #10622541C22semidirect
133. #10622289C22semidirect
136. #10622288C22semidirect
137. #10622288C22semidirect
138. #10622288C22semidirect
139. #10622288C22semidirect
142. #10622286C22semidirect
143. #10622286C22semidirect
144. #10622286C22semidirect
147. #10622285C22semidirect
149. #10622283C22semidirect
150. #10622283C22semidirect
152. #10622282C22semidirect
153. #10622282C22semidirect
160. #10622281C22semidirect
161. #10622281C22semidirect
176. #10622274C22semidirect
177. #10622274C22semidirect
178. #10622270C22semidirect
179. #10622270C22semidirect
180. #10622269C22semidirect
181. #10622269C22semidirect
182. #10622269C22semidirect
183. #10622268C22semidirect
184. #10622267C22semidirect
185. #10622259C22semidirect
186. #10622259C22semidirect
187. #10622259C22semidirect
188. #10622259C22semidirect
599. #2698D11semidirect
804. #400C2×D11semidirect
813. #398C2×D11semidirect
814. #398C2×D11semidirect
836. #395C2×D11semidirect
856. #391C2×D11semidirect
862. #389C2×D11semidirect
878. #387C2×D11semidirect
910. #382C2×D11semidirect
1400. C11#36716semidirect

Maximal subgroups

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

subgroupindex
C2×#106232352
C2×D11×C22⋊Q82
#130769112
#130769092
#130752172
#130752162
#130752152
#130752142
#130751892
#130751872
#130751842
#130749662
#130749642
#130749632
#130749612
#130749602
#130749582
#130749572
#130749522
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