Finite Group Databasebeta

← #14926627

Subgroups — #14926627

Order 2816.

2062 conjugacy classes of subgroups.

The subgroup lattice has 1498 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076951C211yesmaximal, characteristic, complemented
2#13076940C211yesmaximal, characteristic, complemented
3#13076932C211yesmaximal, characteristic, complemented
4#13076923C211yesmaximal, characteristic, complemented
5#13074684C211yesmaximal, characteristic, complemented
6#13074671C211yesmaximal, characteristic, complemented
7#13074669C211yesmaximal, characteristic, complemented
8#13074626C211yesmaximal, characteristic, complemented
9#13073345C211yesmaximal, characteristic, complemented
10#13073266C211yesmaximal, characteristic, complemented
11#13073120C211yesmaximal, characteristic, complemented
12#13072996C211yesmaximal, characteristic, complemented
13#13072942C211yesmaximal, characteristic, complemented
14#13072895C211yesmaximal, characteristic, complemented
15#13072877C211yesmaximal, characteristic, complemented
16#13072759C211yesmaximal, characteristic, complemented
17#13072656C211yesmaximal, characteristic, complemented
18#13072566C211yesmaximal, characteristic, complemented
19#13072443C211yesmaximal, characteristic, complemented
20#13072281C211yesmaximal, characteristic, complemented
21#13072096C211yesmaximal, characteristic, complemented
22#13072014C211yesmaximal, characteristic
23#13072009C211yesmaximal, characteristic
24#13071346C211yesmaximal, characteristic, complemented
25#13071282C211yesmaximal, characteristic, complemented
26#13071244C211yesmaximal, characteristic, complemented
27#13071217C211yesmaximal, characteristic, complemented
28#13071117C211yesmaximal, characteristic
29C2×#10622281C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D11C211yesmaximal, characteristic, complemented
31C11×#2493C211yesmaximal, characteristic, complemented
32C23×C4×D11C2211yescharacteristic
33C2×#66982C2211yescharacteristic
34C22×(C2×D11)⋊C4C2211yescharacteristic
35C22×(C2×D11)⋊C4C2211yescharacteristic
36C22×C4⋊Dic11C2211yescharacteristic
37C2×#66977C2211yescharacteristic
38C22×Dic11⋊C4C2211yescharacteristic
39C2×#66949C2211yescharacteristic
40C2×#66947C2211yescharacteristic
41C2×#66946C2211yescharacteristic
42C2×#66946C2211yescharacteristic
43C2×#66942C2211yescharacteristic, complemented
44C2×#66935C2211yescharacteristic
45C2×(C22⋊D11)⋊C4C2211yescharacteristic
46C2×C22⋊C4×D11C2211yescharacteristic
47C2×C22⋊C4×D11C2211yescharacteristic
48C2×#66929C2211yescharacteristic, complemented
49C2×C42×D11C2211yescharacteristic
50C2×C42×D11C2211yescharacteristic
51C11×#401C2211yescharacteristic, complemented
52C11×#400C2211yescharacteristic, complemented
53C11×#400C2211yescharacteristic, complemented
54C11×#400C2211yescharacteristic, complemented
55C11×#387C2211yescharacteristic, complemented
56C11×#387C2211yescharacteristic, complemented
57C11×#387C2211yescharacteristic, complemented
58C11×#385C2211yescharacteristic
59C11×#385C2211yescharacteristic
60C11×#383C2211yescharacteristic, complemented
61C11×#381C2211yescharacteristic
62C11×#381C2211yescharacteristic
63C11×#380C2211yescharacteristic
64C4×C11×C22⋊C4C2211yescharacteristic
65C2×C11×#95C2211yescharacteristic
66#10622826C2211yescharacteristic
67#10622826C2211yescharacteristic
68#10622824C2211yescharacteristic
69C4×C22⋊Dic11C2211yescharacteristic
70C2×C11⋊#95C2211yescharacteristic
71#10622607C2211yescharacteristic
72#10622606C2211yescharacteristic
73#10622605C2211yescharacteristic
74#10622604C2211yescharacteristic
75#10622603C2211yescharacteristic, complemented
76#10622602C2211yescharacteristic
77#10622602C2211yescharacteristic
78#10622602C2211yescharacteristic
79#10622602C2211yescharacteristic
80#10622600C2211yescharacteristic, complemented
81#10622597C2211yescharacteristic, complemented
82#10622593C2211yescharacteristic, complemented
83#10622591C2211yescharacteristic, complemented
84#10622591C2211yescharacteristic, complemented
85#10622591C2211yescharacteristic, complemented
86#10622590C2211yescharacteristic, complemented
87#10622585C2211yescharacteristic, complemented
88#10622585C2211yescharacteristic, complemented
89#10622585C2211yescharacteristic, complemented
90#10622571C2211yescharacteristic
91#10622571C2211yescharacteristic
92#10622568C2211yescharacteristic
93#10622563C2211yescharacteristic
94#10622559C2211yescharacteristic
95#10622559C2211yescharacteristic
96#10622559C2211yescharacteristic
97#10622555C2211yescharacteristic
98#10622555C2211yescharacteristic
99C22⋊C4×Dic11C2211yescharacteristic
100C22⋊C4×Dic11C2211yescharacteristic
101C22⋊C4×Dic11C2211yescharacteristic
102#10622553C2211yescharacteristic, complemented
103C4×(C2×D11)⋊C4C2211yescharacteristic
104C4×(C2×D11)⋊C4C2211yescharacteristic
105#10622546C2211yescharacteristic, complemented
106#10622546C2211yescharacteristic, complemented
107#10622289C2211yescharacteristic
108#10622289C2211yescharacteristic, complemented
109#10622288C2211yescharacteristic
110#10622288C2211yescharacteristic
111#10622288C2211yescharacteristic
112#10622288C2211yescharacteristic
113#10622288C2211yescharacteristic
114#10622288C2211yescharacteristic, complemented
115#10622288C2211yescharacteristic, complemented
116#10622287C2211yescharacteristic
117#10622287C2211yescharacteristic
118#10622286C2211yescharacteristic
119#10622286C2211yescharacteristic, complemented
120#10622285C2211yescharacteristic
121#10622285C2211yescharacteristic
122#10622285C2211yescharacteristic
123#10622283C2211yescharacteristic, complemented
124#10622283C2211yescharacteristic, complemented
125#10622283C2211yescharacteristic, complemented
126#10622283C2211yescharacteristic, complemented
127#10622282C2211yescharacteristic, complemented
128#10622281C2211yescharacteristic
129#10622281C2211yescharacteristic
130#10622281C2211yescharacteristic
131#10622281C2211yescharacteristic
132#10622281C2211yescharacteristic
133#10622281C2211yescharacteristic
134#10622281C2211yescharacteristic
135#10622281C2211yescharacteristic
136#10622281C2211yescharacteristic
137#10622281C2211yescharacteristic
138#10622281C2211yescharacteristic
139#10622281C2211yescharacteristic, complemented
140#10622281C2211yescharacteristic, complemented
141#10622280C2211yescharacteristic
142#10622280C2211yescharacteristic
143#10622280C2211yescharacteristic
144#10622279C2211yescharacteristic
145#10622279C2211yescharacteristic
146#10622279C2211yescharacteristic
147#10622279C2211yescharacteristic
148#10622278C2211yescharacteristic
149#10622278C2211yescharacteristic
150#10622278C2211yescharacteristic
151#10622278C2211yescharacteristic
152#10622278C2211yescharacteristic
153#10622277C2211yescharacteristic
154#10622277C2211yescharacteristic
155#10622277C2211yescharacteristic
156#10622277C2211yescharacteristic, complemented
157D11×#95C2211yescharacteristic
158D11×#95C2211yescharacteristic
159#10622273C2211yescharacteristic, complemented
160#10622271C2211yescharacteristic, complemented
161#10622271C2211yescharacteristic, complemented
162#10622271C2211yescharacteristic, complemented
163#10622271C2211yescharacteristic, complemented
164#10622270C2211yescharacteristic, complemented
165#10622268C2211yescharacteristic, complemented
166#10622268C2211yescharacteristic, complemented
167#10622268C2211yescharacteristic, complemented
168#10622267C2211yescharacteristic, complemented
169#10622267C2211yescharacteristic, complemented
170#10622267C2211yescharacteristic, complemented
171#10622267C2211yescharacteristic, complemented
172#10622266C2211yescharacteristic, complemented
173#10622266C2211yescharacteristic, complemented
174#10622266C2211yescharacteristic, complemented
175#10622266C2211yescharacteristic, complemented
176#10622266C2211yescharacteristic, complemented
177#10622266C2211yescharacteristic, complemented
178#10622266C2211yescharacteristic, complemented
179#10622265C2211yescharacteristic, complemented
180#10622264C2211yescharacteristic, complemented
181#10622263C2211yescharacteristic, complemented
182#10622260C2211yescharacteristic, complemented
183#10622260C2211yescharacteristic, complemented
184#10622259C2211yescharacteristic, complemented
185#10622259C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187C24×D11C2311yescharacteristic
188C23×C4×C11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C22×C22⋊D11C2311yescharacteristic
192C23×Dic11C2311yescharacteristic
193C23×Dic11C2311yescharacteristic
194C23×Dic11C2311yescharacteristic
195C22×D44C2311yescharacteristic
196C22×D44C2311yescharacteristic
197C22×C4×D11—24no—
198C22×C4×D11—42no—
199C22×C4×D11—42no—
200C22×C4×D11C2311yescharacteristic
201C22×C4×D11C2311yescharacteristic
202C22×C4×D11C2311yescharacteristic
203C22×C4×D11C2311yescharacteristic
204C22×C4×D11C2311yescharacteristic
205C22×C4×D11C2311yescharacteristic
206C22×C4×D11C2311yescharacteristic
207C22×C4×D11C2311yescharacteristic
208C22×C4×D11C2311yescharacteristic
209C22×Dic22C2311yescharacteristic
210C2×C11×C4⋊C4C2311yescharacteristic
211C2×C11×C4⋊C4C2311yescharacteristic
212C2×C11×C4⋊C4C2311yescharacteristic
213C2×C11×C4⋊C4C2311yescharacteristic
214C2×C11×C4⋊C4C2311yescharacteristic
215C2×C11×C4⋊C4C2311yescharacteristic
216C2×C11×C22⋊C4C2311yescharacteristic
217C2×C11×C22⋊C4C2311yescharacteristic
218C2×C11×C22⋊C4C2311yescharacteristic
219C2×C11×C22⋊C4C2311yescharacteristic
220C2×C42×C11C2311yescharacteristic
221C2×C42×C11C2311yescharacteristic
222C2×C22⋊Dic11C2311yescharacteristic
223C2×C22⋊Dic11C2311yescharacteristic
224C2×C22⋊Dic11C2311yescharacteristic
225#66982—24no—
226C2×(C2×D11)⋊C4—24no—
227C2×(C2×D11)⋊C4—42no—
228C2×(C2×D11)⋊C4C2311yescharacteristic
229C2×(C2×D11)⋊C4C2311yescharacteristic
230C2×(C2×D11)⋊C4C2311yescharacteristic
231C2×(C2×D11)⋊C4C2311yescharacteristic
232C2×(C2×D11)⋊C4C2311yescharacteristic
233C2×(C2×D11)⋊C4C2311yescharacteristic
234C2×(C2×D11)⋊C4C2311yescharacteristic
235C2×(C2×D11)⋊C4C2311yescharacteristic
236C2×(C2×D11)⋊C4C2311yescharacteristic
237C2×(C2×D11)⋊C4C2311yescharacteristic
238C2×(C2×D11)⋊C4C2311yescharacteristic
239C2×(C2×D11)⋊C4C2311yescharacteristic
240C2×(C2×D11)⋊C4C2311yescharacteristic
241C2×(C2×D11)⋊C4C2311yescharacteristic
242C2×(C2×D11)⋊C4C2311yescharacteristic
243C2×(C2×D11)⋊C4C2311yescharacteristic
244C2×(C2×D11)⋊C4C2311yescharacteristic
245C2×(C2×D11)⋊C4C2311yescharacteristic
246C2×(C2×D11)⋊C4C2311yescharacteristic
247C2×(C2×D11)⋊C4C2311yescharacteristic
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×C4⋊Dic11—24no—
258C2×C4⋊Dic11C2311yescharacteristic
259C2×C4⋊Dic11C2311yescharacteristic
260C2×C4⋊Dic11C2311yescharacteristic
261C2×C4⋊Dic11C2311yescharacteristic
262C2×C4⋊Dic11C2311yescharacteristic
263C2×C4⋊Dic11C2311yescharacteristic
264C2×C4⋊Dic11C2311yescharacteristic
265#66977—24no—
266C2×Dic11⋊C4—42no—
267C2×Dic11⋊C4C2311yescharacteristic
268C2×Dic11⋊C4C2311yescharacteristic
269C2×Dic11⋊C4C2311yescharacteristic
270C2×Dic11⋊C4C2311yescharacteristic
271C2×Dic11⋊C4C2311yescharacteristic
272C2×Dic11⋊C4C2311yescharacteristic
273C2×Dic11⋊C4C2311yescharacteristic
274C2×Dic11⋊C4C2311yescharacteristic
275C2×Dic11⋊C4C2311yescharacteristic
276C2×Dic11⋊C4C2311yescharacteristic
277C2×Dic11⋊C4C2311yescharacteristic
278C2×Dic11⋊C4C2311yescharacteristic
279C2×Dic11⋊C4C2311yescharacteristic
280C2×Dic11⋊C4C2311yescharacteristic
281C2×Dic11⋊C4C2311yescharacteristic
282C2×Dic11⋊C4C2311yescharacteristic
283C2×Dic11⋊C4C2311yescharacteristic
284C2×Dic11⋊C4C2311yescharacteristic
285C2×Dic11⋊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
295#66949—42no—
296#66947—42no—
297#66946—42no—
298#66946—42no—
299#66942—42no—
300#66935—24no—
301(C22⋊D11)⋊C4—24no—
302C22⋊C4×D11—24no—
303C22⋊C4×D11—24no—
304#66929—42no—
305C42×D11—42no—
306C42×D11—42no—
307C11×#95C2311yescharacteristic
308C11×#95C2311yescharacteristic
309C11×#95C2311yescharacteristic
310C11×#95C2311yescharacteristic
311C11×#95C2311yescharacteristic
312C11×#95C2311yescharacteristic
313C11×#95C2311yescharacteristic
314C11×#95C2311yescharacteristic
315C11×#95C2311yescharacteristic
316C11×#95C2311yescharacteristic
317C11×#95C2311yescharacteristic
318C11×#95C2311yescharacteristic
319C11×#95C2311yescharacteristic
320C11×#95C2311yescharacteristic
321C11×#95C2311yescharacteristic
322C11×#95C2311yescharacteristic
323C11×#95C2311yescharacteristic
324C11×#95C2311yescharacteristic
325C11×#95C2311yescharacteristic
326C11×#95C2311yescharacteristic
327C11⋊#95C2311yescharacteristic
328C11⋊#95C2311yescharacteristic
329C11⋊#95C2311yescharacteristic
330C11⋊#95C2311yescharacteristic
331C11⋊#95C2311yescharacteristic
332C11⋊#95C2311yescharacteristic
333C11⋊#95C2311yescharacteristic
334C11⋊#95C2311yescharacteristic
335C11⋊#95C2311yescharacteristic
336C11⋊#95C2311yescharacteristic
337C11⋊#95C2311yescharacteristic
338C11⋊#95C2311yescharacteristic
339C11⋊#95C2311yescharacteristic
340C11⋊#95C2311yescharacteristic
341C11⋊#95C2311yescharacteristic
342C11⋊#95C2311yescharacteristic
343C11⋊#95C2311yescharacteristic
344C11⋊#95C2311yescharacteristic
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
363#34999—111nomaximal, Sylow
364C24×C11C2411yescharacteristic
365C23×D11—22no—
366C23×D11—22no—
367C23×D11—22no—
368C23×D11—22no—
369C23×D11—41no—
370C23×D11—41no—
371C23×D11#4114yes—
372C23×D11C2411yescharacteristic
373C23×D11C2411yescharacteristic
374C23×D11C2411yescharacteristic
375C22×C4×C11—22no—
376C22×C4×C11—22no—
377C22×C4×C11—22no—
378C22×C4×C11—22no—
379C22×C4×C11—22no—
380C22×C4×C11—22no—
381C22×C4×C11—41no—
382C22×C4×C11—41no—
383C22×C4×C11—41no—
384C22×C4×C11C2411yescharacteristic
385C22×C4×C11C2411yescharacteristic
386C22×C4×C11C2411yescharacteristic
387C22×C4×C11C2411yescharacteristic
388C22×C4×C11C2411yescharacteristic
389C22×C4×C11C2411yescharacteristic
390C22×C4×C11C2411yescharacteristic
391C22×C4×C11C2411yescharacteristic
392C22×C4×C11C2411yescharacteristic
393C22×C4×C11C2411yescharacteristic
394C22×C4×C11C2411yescharacteristic
395C22×C4×C11C2411yescharacteristic
396C22×C4×C11C2411yescharacteristic
397C22×C4×C11C2411yescharacteristic
398C2×C22⋊D11—22no—
399C2×C22⋊D11—22no—
400C2×C22⋊D11—22no—
401C22×Dic11—22no—
402C22×Dic11—22no—
403C22×Dic11—41no—
404C22×Dic11—41no—
405C22×Dic11—41no—
406C22×Dic11—41no—
407C22×Dic11—41no—
408C22×Dic11—41no—
409C22×Dic11#4114yes—
410C22×Dic11C2411yescharacteristic
411C22×Dic11C2411yescharacteristic
412C22×Dic11C2411yescharacteristic
413C22×Dic11C2411yescharacteristic
414C22×Dic11C2411yescharacteristic
415C22×Dic11C2411yescharacteristic
416C22×Dic11C2411yescharacteristic
417C22×Dic11C2411yescharacteristic
418C22×Dic11C2411yescharacteristic
419C22×Dic11C2411yescharacteristic
420C22×Dic11C2411yescharacteristic
421C22×Dic11C2411yescharacteristic
422C22×Dic11C2411yescharacteristic
423C2×D44—22no—
424C2×D44—22no—
425C2×D44—22no—
426C2×D44—22no—
427C2×D44—41no—
428C2×D44—41no—
429C2×C4×D11—22no—
430C2×C4×D11—22no—
431C2×C4×D11—22no—
432C2×C4×D11—22no—
433C2×C4×D11—22no—
434C2×C4×D11—22no—
435C2×C4×D11—22no—
436C2×C4×D11—22no—
437C2×C4×D11—22no—
438C2×C4×D11—22no—
439C2×C4×D11—22no—
440C2×C4×D11—22no—
441C2×C4×D11—22no—
442C2×C4×D11—22no—
443C2×C4×D11—22no—
444C2×C4×D11—22no—
445C2×C4×D11—22no—
446C2×C4×D11—41no—
447C2×C4×D11—41no—
448C2×C4×D11—41no—
449C2×C4×D11—41no—
450C2×C4×D11—41no—
451C2×C4×D11—41no—
452C2×C4×D11—41no—
453C2×C4×D11—41no—
454C2×C4×D11—41no—
455C2×C4×D11—41no—
456C2×C4×D11—416no—
457C2×Dic22—22no—
458C2×Dic22—41no—
459C2×Dic22—41no—
460C11×C4⋊C4—22no—
461C11×C4⋊C4—41no—
462C11×C4⋊C4—41no—
463C11×C4⋊C4—41no—
464C11×C4⋊C4—41no—
465C11×C4⋊C4—41no—
466C11×C22⋊C4—22no—
467C11×C22⋊C4—22no—
468C11×C22⋊C4—22no—
469C11×C22⋊C4—22no—
470C42×C11—22no—
471C42×C11—41no—
472C22⋊Dic11—22no—
473C22⋊Dic11—22no—
474C22⋊Dic11#4114yes—
475(C2×D11)⋊C4—22no—
476(C2×D11)⋊C4—22no—
477(C2×D11)⋊C4—22no—
478(C2×D11)⋊C4—22no—
479(C2×D11)⋊C4—22no—
480(C2×D11)⋊C4—22no—
481(C2×D11)⋊C4—22no—
482(C2×D11)⋊C4—22no—
483(C2×D11)⋊C4—22no—
484(C2×D11)⋊C4—22no—
485(C2×D11)⋊C4—22no—
486(C2×D11)⋊C4—22no—
487(C2×D11)⋊C4—22no—
488(C2×D11)⋊C4—22no—
489(C2×D11)⋊C4—22no—
490(C2×D11)⋊C4—22no—
491(C2×D11)⋊C4—22no—
492(C2×D11)⋊C4—22no—
493(C2×D11)⋊C4—41no—
494(C2×D11)⋊C4—41no—
495(C2×D11)⋊C4—41no—
496(C2×D11)⋊C4—41no—
497(C2×D11)⋊C4—41no—
498(C2×D11)⋊C4—41no—
499(C2×D11)⋊C4—41no—
500(C2×D11)⋊C4—41no—
501(C2×D11)⋊C4—41no—
502(C2×D11)⋊C4—41no—
503(C2×D11)⋊C4—41no—
504C4⋊Dic11—22no—
505C4⋊Dic11—22no—
506C4⋊Dic11—22no—
507C4⋊Dic11—22no—
508C4⋊Dic11—22no—
509C4⋊Dic11—41no—
510C4⋊Dic11—41no—
511Dic11⋊C4—22no—
512Dic11⋊C4—22no—
513Dic11⋊C4—22no—
514Dic11⋊C4—22no—
515Dic11⋊C4—22no—
516Dic11⋊C4—22no—
517Dic11⋊C4—22no—
518Dic11⋊C4—41no—
519Dic11⋊C4—41no—
520Dic11⋊C4—41no—
521Dic11⋊C4—41no—
522Dic11⋊C4—41no—
523Dic11⋊C4—41no—
524Dic11⋊C4—41no—
525Dic11⋊C4—41no—
526Dic11⋊C4—41no—
527Dic11⋊C4—41no—
528Dic11⋊C4—41no—
529Dic11⋊C4—41no—
530C4×Dic11—22no—
531C4×Dic11—22no—
532C4×Dic11—41no—
533C4×Dic11—41no—
534C4×Dic11—41no—
535C4×Dic11—41no—
536C4×Dic11—41no—
537C4×Dic11—41no—
538C4×Dic11—41no—
539#2855—111no—
540#2853—111no—
541#2852—111no—
542#2851—111no—
543#2653—111no—
544#2652—111no—
545#2652—111no—
546#2649—111no—
547#2523—111no—
548#2517—111no—
549#2505—111no—
550#2493—111no—
551#2493D1111yescharacteristic, complemented
552#2488—111no—
553#2483—111no—
554#2481—111no—
555#2473—111no—
556#2466—111no—
557#2460—111no—
558#2450—111no—
559#2437—111no—
560#2419—111no—
561#2412—111no—
562#2412—111no—
563#2329—111no—
564#2322—111no—
565#2318—111no—
566#2313—111no—
567C4×#120—111no—
568C2×#385—111no—
569C2×C4×C22⋊C4—111no—
570C23×C11—21no—
571C23×C11—21no—
572C23×C11—21no—
573C23×C11—21no—
574C23×C11C2×#4112yes—
575C23×C11C2×#4112yes—
576C23×C11C2×#4112yes—
577C23×C11C2511yescharacteristic
578C22×D11—21no—
579C22×D11—21no—
580C22×D11—21no—
581C22×D11—21no—
582C22×D11—28no—
583C22×D11—21no—
584C22×D11—21no—
585C22×D11—21no—
586C22×D11—21no—
587C22×D11—21no—
588C22×D11—21no—
589C22×D11—28no—
590C22×D11—21no—
591C22×D11—21no—
592C22×D11—21no—
593C22×D11—21no—
594C22×D11—21no—
595C22×D11—21no—
596C22×D11—21no—
597C22×D11—44no—
598C22×D11—44no—
599C22×D11—44no—
600C22×D11—44no—
601C22×D11—44no—
602C22×D11C2×#4112yes—
603C22×D11C2×#4112yes—
604C22×D11H(5,𝔽2)12yes—
605C22×D112−1+412yes—
606C2×C4×C11—21no—
607C2×C4×C11—21no—
608C2×C4×C11—21no—
609C2×C4×C11—21no—
610C2×C4×C11—21no—
611C2×C4×C11—21no—
612C2×C4×C11—21no—
613C2×C4×C11—21no—
614C2×C4×C11—21no—
615C2×C4×C11—21no—
616C2×C4×C11—21no—
617C2×C4×C11—21no—
618C2×C4×C11—21no—
619C2×C4×C11—21no—
620C2×C4×C11—21no—
621C2×C4×C11—21no—
622C2×C4×C11—21no—
623C2×C4×C11—21no—
624C2×C4×C11—21no—
625C2×C4×C11—21no—
626C2×C4×C11—21no—
627C2×C4×C11—21no—
628C2×C4×C11—21no—
629C2×C4×C11—21no—
630C2×C4×C11—21no—
631C2×C4×C11—21no—
632C2×C4×C11—21no—
633C2×C4×C11—21no—
634C2×C4×C11—21no—
635C2×C4×C11—21no—
636C2×C4×C11—21no—
637C2×C4×C11—21no—
638C2×C4×C11—21no—
639C2×C4×C11—21no—
640C2×C4×C11—21no—
641C2×C4×C11—21no—
642C2×C4×C11—21no—
643C2×C4×C11—21no—
644C2×C4×C11—21no—
645C2×C4×C11—21no—
646C2×C4×C11—21no—
647C2×C4×C11—44no—
648C2×C4×C11—44no—
649C2×C4×C11—82no—
650C2×C4×C11H(5,𝔽2)12yes—
651C22⋊D11—44no—
652C2×Dic11—21no—
653C2×Dic11—21no—
654C2×Dic11—21no—
655C2×Dic11—21no—
656C2×Dic11—21no—
657C2×Dic11—21no—
658C2×Dic11—21no—
659C2×Dic11—21no—
660C2×Dic11—21no—
661C2×Dic11—21no—
662C2×Dic11—21no—
663C2×Dic11—21no—
664C2×Dic11—21no—
665C2×Dic11—21no—
666C2×Dic11—21no—
667C2×Dic11—21no—
668C2×Dic11—21no—
669C2×Dic11—21no—
670C2×Dic11—21no—
671C2×Dic11—21no—
672C2×Dic11—21no—
673C2×Dic11—21no—
674C2×Dic11—21no—
675C2×Dic11—21no—
676C2×Dic11—21no—
677C2×Dic11—21no—
678C2×Dic11—21no—
679C2×Dic11—21no—
680C2×Dic11—21no—
681C2×Dic11—21no—
682C2×Dic11—21no—
683C2×Dic11—21no—
684C2×Dic11—21no—
685C2×Dic11—21no—
686C2×Dic11—21no—
687C2×Dic11—44no—
688C2×Dic11—44no—
689C2×Dic11—82no—
690C2×Dic11C2×#4112yes—
691C2×Dic11C2×#4112yes—
692C2×Dic11C2×#4112yes—
693C2×Dic11C2×#4112yes—
694D44—44no—
695D44—44no—
696C4×D11—28no—
697C4×D11—44no—
698C4×D11—44no—
699C4×D11—44no—
700C4×D11—44no—
701C4×D11—44no—
702C4×D11—44no—
703C4×D11—44no—
704C4×D11—82no—
705Dic22—82no—
706C24×C4—111no—
707C2×#126—111no—
708C2×#125—111no—
709C2×#123—111no—
710C2×#123—111no—
711C2×C22⋊Q8—111no—
712C2×C22⋊Q8—111no—
713C2×#120—111no—
714C2×C4×D4—111no—
715C2×C4×D4—111no—
716C2×C4×D4—111no—
717C22×C4⋊C4—111no—
718C22×C4⋊C4—111no—
719C22×C22⋊C4—111no—
720C22×C22⋊C4—111no—
721C22×C22⋊C4—111no—
722C22×C22⋊C4—111no—
723C22×C42—111no—
724C22×C42—111no—
725#401C2×D1111yescharacteristic, complemented
726#400—111no—
727#400—111no—
728#400—111no—
729#400—111no—
730#400—111no—
731#400C2×D1111yescharacteristic, complemented
732#400C2×D1111yescharacteristic, complemented
733#400C2×D1111yescharacteristic, complemented
734#399—111no—
735#398—111no—
736#398—111no—
737#398—111no—
738#397—111no—
739#397—111no—
740#397—111no—
741#397—111no—
742#397—111no—
743#397—111no—
744#397—111no—
745#397—111no—
746#397—111no—
747#397—111no—
748#396—111no—
749#396—111no—
750#396—111no—
751#394—111no—
752#394—111no—
753#394—111no—
754#394—111no—
755#393—111no—
756#393—111no—
757#391—111no—
758#391—111no—
759#391—111no—
760#389—111no—
761#389—111no—
762#389—111no—
763#389—111no—
764#389—111no—
765#388—111no—
766#388—111no—
767#388—111no—
768#388—111no—
769#388—111no—
770#388—111no—
771#388—111no—
772#387—111no—
773#387—111no—
774#387—111no—
775#387—111no—
776#387—111no—
777#387—111no—
778#387—111no—
779#387—111no—
780#387—111no—
781#387—111no—
782#387—111no—
783#387—111no—
784#387—111no—
785#387—111no—
786#387—111no—
787#387—111no—
788#387—111no—
789#387—111no—
790#387—111no—
791#387—111no—
792#387C2×D1111yescharacteristic, complemented
793#387C2×D1111yescharacteristic, complemented
794#387C2×D1111yescharacteristic, complemented
795#386—111no—
796#386—111no—
797#386—111no—
798#386—111no—
799#386—111no—
800#386—111no—
801#386—111no—
802#386—111no—
803#386—111no—
804#385—111no—
805#385—111no—
806#385—111no—
807#385—111no—
808#385—111no—
809#385—111no—
810#385—111no—
811#385—111no—
812#385—111no—
813#385—111no—
814#385—111no—
815#385—111no—
816#385—111no—
817#385—111no—
818#385—111no—
819#385—111no—
820#385—111no—
821#385—111no—
822#385—111no—
823#385—111no—
824#385—111no—
825#385C2×D1111yescharacteristic
826#385C2×D1111yescharacteristic
827#383—111no—
828#383C2×D1111yescharacteristic, complemented
829#382—111no—
830#382—111no—
831#381—111no—
832#381—111no—
833#381—111no—
834#381—111no—
835#381—111no—
836#381C2×D1111yescharacteristic
837#381C2×D1111yescharacteristic
838#380—111no—
839#380—111no—
840#380—111no—
841#380—111no—
842#380—111no—
843#380—111no—
844#380C2×D1111yescharacteristic
845#379—111no—
846C4×C22⋊C4—111no—
847C4×C22⋊C4—111no—
848C4×C22⋊C4—111no—
849C4×C22⋊C4—111no—
850C4×C22⋊C4—111no—
851C4×C22⋊C4—111no—
852C4×C22⋊C4—111no—
853C4×C22⋊C4—111no—
854C4×C22⋊C4—111no—
855C4×C22⋊C4—111no—
856C4×C22⋊C4C2×D1111yescharacteristic
857C2×#95—111no—
858C2×#95—111no—
859C2×#95—111no—
860C2×#95C2×D1111yescharacteristic
861C22×C11—22no—
862C22×C11—22no—
863C22×C11—22no—
864C22×C11—22no—
865C22×C11—22no—
866C22×C11—22no—
867C22×C11#52914yes—
868C22×C11C22×#4111yescharacteristic
869C22×C11C22×#4111yescharacteristic
870C22×C11C22×#4111yescharacteristic
871C22×C11C2×H(5,𝔽2)11yescharacteristic
872C22×C11C2×H(5,𝔽2)11yescharacteristic
873C22×C11C2×2−1+411yescharacteristic
874C22×C11#58511yescharacteristic
875C2×D11—22no—
876C2×D11—22no—
877C2×D11—22no—
878C2×D11—22no—
879C2×D11—22no—
880C2×D11—22no—
881C2×D11—22no—
882C2×D11—22no—
883C2×D11—22no—
884C2×D11—416no—
885C2×D11—41no—
886C2×D11—41no—
887C2×D11—41no—
888C2×D11—41no—
889C2×D11—41no—
890C2×D11—41no—
891C2×D11—41no—
892C2×D11—41no—
893C2×D11—41no—
894C2×D11—41no—
895C2×D11—41no—
896C2×D11#53914yes—
897C4×C11—22no—
898C4×C11—41no—
899C4×C11—41no—
900C4×C11—41no—
901C4×C11—41no—
902C4×C11—41no—
903C4×C11—41no—
904C4×C11—41no—
905C4×C11—41no—
906C4×C11—41no—
907C4×C11—41no—
908C4×C11—41no—
909C4×C11—41no—
910C4×C11—41no—
911Dic11—22no—
912Dic11—22no—
913Dic11—22no—
914Dic11—22no—
915Dic11—41no—
916Dic11—41no—
917Dic11—41no—
918Dic11—41no—
919Dic11—41no—
920Dic11—41no—
921Dic11—41no—
922Dic11—41no—
923Dic11—41no—
924C25—111no—
925C22×Q8—111no—
926C22×D4—111no—
927C22×D4—111no—
928C22×D4—111no—
929C23×C4—111no—
930C23×C4—111no—
931C23×C4—111no—
932C23×C4—111no—
933C23×C4—111no—
934C23×C4—111no—
935C23×C4—111no—
936C23×C4—111no—
937C23×C4—111no—
938C23×C4—111no—
939C23×C4—111no—
940C23×C4—111no—
941C23×C4—224no—
942C23×C4—442no—
943C23×C4—442no—
944C23×C4C22×D1111yescharacteristic
945C23×C4C22×D1111yescharacteristic
946C23×C4C22×D1111yescharacteristic
947#126—442no—
948#125—442no—
949#123—224no—
950#123—442no—
951C22⋊Q8—224no—
952C22⋊Q8—442no—
953#120—224no—
954C4×D4—224no—
955C4×D4—442no—
956C4×D4—442no—
957C2×C4⋊C4—111no—
958C2×C4⋊C4—111no—
959C2×C4⋊C4—111no—
960C2×C4⋊C4—111no—
961C2×C4⋊C4—111no—
962C2×C4⋊C4—111no—
963C2×C4⋊C4—111no—
964C2×C4⋊C4—111no—
965C2×C4⋊C4—111no—
966C2×C4⋊C4—111no—
967C2×C4⋊C4—111no—
968C2×C4⋊C4—111no—
969C2×C4⋊C4—111no—
970C2×C4⋊C4—111no—
971C2×C4⋊C4—111no—
972C2×C4⋊C4—111no—
973C2×C4⋊C4—111no—
974C2×C4⋊C4—111no—
975C2×C4⋊C4—111no—
976C2×C4⋊C4—111no—
977C2×C4⋊C4—111no—
978C2×C4⋊C4—111no—
979C2×C4⋊C4—111no—
980C2×C4⋊C4—111no—
981C2×C4⋊C4—111no—
982C2×C4⋊C4—111no—
983C2×C4⋊C4—224no—
984C2×C4⋊C4—442no—
985C2×C4⋊C4C22×D1111yescharacteristic
986C2×C4⋊C4C22×D1111yescharacteristic
987C2×C4⋊C4C22×D1111yescharacteristic
988C2×C4⋊C4C22×D1111yescharacteristic
989C2×C4⋊C4C22×D1111yescharacteristic
990C2×C4⋊C4C22×D1111yescharacteristic
991C2×C22⋊C4—111no—
992C2×C22⋊C4—111no—
993C2×C22⋊C4—111no—
994C2×C22⋊C4—111no—
995C2×C22⋊C4—111no—
996C2×C22⋊C4—111no—
997C2×C22⋊C4—111no—
998C2×C22⋊C4—111no—
999C2×C22⋊C4—111no—
1000C2×C22⋊C4—111no—
1001C2×C22⋊C4—111no—
1002C2×C22⋊C4—111no—
1003C2×C22⋊C4—111no—
1004C2×C22⋊C4—111no—
1005C2×C22⋊C4—111no—
1006C2×C22⋊C4—111no—
1007C2×C22⋊C4—111no—
1008C2×C22⋊C4—111no—
1009C2×C22⋊C4—111no—
1010C2×C22⋊C4—111no—
1011C2×C22⋊C4—111no—
1012C2×C22⋊C4—111no—
1013C2×C22⋊C4—111no—
1014C2×C22⋊C4—111no—
1015C2×C22⋊C4—111no—
1016C2×C22⋊C4—111no—
1017C2×C22⋊C4—111no—
1018C2×C22⋊C4—111no—
1019C2×C22⋊C4—111no—
1020C2×C22⋊C4—111no—
1021C2×C22⋊C4—111no—
1022C2×C22⋊C4—111no—
1023C2×C22⋊C4—224no—
1024C2×C22⋊C4—224no—
1025C2×C22⋊C4—224no—
1026C2×C22⋊C4—442no—
1027C2×C22⋊C4C22×D1111yescharacteristic
1028C2×C22⋊C4C22×D1111yescharacteristic
1029C2×C22⋊C4C22×D1111yescharacteristic
1030C2×C22⋊C4C22×D1111yescharacteristic
1031C2×C42—111no—
1032C2×C42—111no—
1033C2×C42—111no—
1034C2×C42—111no—
1035C2×C42—111no—
1036C2×C42—111no—
1037C2×C42—111no—
1038C2×C42—111no—
1039C2×C42—111no—
1040C2×C42—442no—
1041C2×C42—442no—
1042C2×C42C22×D1111yescharacteristic
1043C2×C42C22×D1111yescharacteristic
1044#95—111no—
1045#95—111no—
1046#95—111no—
1047#95—111no—
1048#95—111no—
1049#95—111no—
1050#95—111no—
1051#95—111no—
1052#95—111no—
1053#95—111no—
1054#95—111no—
1055#95—111no—
1056#95—111no—
1057#95—111no—
1058#95—111no—
1059#95—111no—
1060#95—111no—
1061#95—111no—
1062#95—111no—
1063#95—111no—
1064#95—111no—
1065#95—111no—
1066#95—111no—
1067#95—111no—
1068#95—111no—
1069#95—111no—
1070#95—111no—
1071#95—111no—
1072#95—111no—
1073#95—111no—
1074#95—111no—
1075#95—111no—
1076#95—111no—
1077#95—111no—
1078#95—111no—
1079#95—111no—
1080#95C22×D1111yescharacteristic
1081#95C22×D1111yescharacteristic
1082#95C22×D1111yescharacteristic
1083#95C22×D1111yescharacteristic
1084#95C22×D1111yescharacteristic
1085#95C22×D1111yescharacteristic
1086#95C22×D1111yescharacteristic
1087#95C22×D1111yescharacteristic
1088#95C22×D1111yescharacteristic
1089#95C22×D1111yescharacteristic
1090#95C22×D1111yescharacteristic
1091#95C22×D1111yescharacteristic
1092#95C22×D1111yescharacteristic
1093#95C22×D1111yescharacteristic
1094#95C22×D1111yescharacteristic
1095#95C22×D1111yescharacteristic
1096#95C22×D1111yescharacteristic
1097#95C22×D1111yescharacteristic
1098#95C22×D1111yescharacteristic
1099#95C22×D1111yescharacteristic
1100C2×C11—24no—
1101C2×C11C2×#52911yescharacteristic
1102C2×C11C2×#53911yescharacteristic
1103C2×C11#345911yescharacteristic
1104C2×C11#349011yescharacteristic
1105C2×C11#349511yescharacteristic
1106C2×C11#351311yescharacteristic
1107C2×C11#352011yescharacteristic
1108D11—24no—
1109D11—42no—
1110D11—81no—
1111C24—111no—
1112C24—111no—
1113C24—114no—
1114C24—111no—
1115C24—222no—
1116C24—222no—
1117C24—222no—
1118C24—222no—
1119C24—441no—
1120C24—441no—
1121C24C23×D1111yescharacteristic
1122C2×Q8—222no—
1123C2×Q8—441no—
1124C2×Q8—441no—
1125C2×D4—222no—
1126C2×D4—222no—
1127C2×D4—222no—
1128C2×D4—222no—
1129C2×D4—222no—
1130C2×D4—222no—
1131C2×D4—222no—
1132C2×D4—441no—
1133C2×D4—441no—
1134C22×C4—22no—
1135C22×C4—22no—
1136C22×C4—22no—
1137C22×C4—22no—
1138C22×C4—22no—
1139C22×C4—22no—
1140C22×C4—41no—
1141C22×C4—41no—
1142C22×C4—41no—
1143C22×C4—111no—
1144C22×C4—111no—
1145C22×C4—111no—
1146C22×C4—111no—
1147C22×C4—114no—
1148C22×C4—111no—
1149C22×C4—111no—
1150C22×C4—111no—
1151C22×C4—111no—
1152C22×C4—111no—
1153C22×C4—111no—
1154C22×C4—111no—
1155C22×C4—111no—
1156C22×C4—111no—
1157C22×C4—222no—
1158C22×C4—222no—
1159C22×C4—222no—
1160C22×C4—222no—
1161C22×C4—222no—
1162C22×C4—222no—
1163C22×C4—222no—
1164C22×C4—222no—
1165C22×C4—222no—
1166C22×C4—222no—
1167C22×C4—222no—
1168C22×C4—222no—
1169C22×C4—222no—
1170C22×C4—222no—
1171C22×C4—222no—
1172C22×C4—222no—
1173C22×C4—222no—
1174C22×C4—222no—
1175C22×C4—222no—
1176C22×C4—441no—
1177C22×C4—441no—
1178C22×C4—441no—
1179C22×C4—441no—
1180C22×C4—441no—
1181C22×C4—441no—
1182C22×C4—441no—
1183C22×C4—441no—
1184C22×C4—441no—
1185C22×C4—441no—
1186C22×C4—4416no—
1187C22×C4—441no—
1188C22×C4—441no—
1189C22×C4—441no—
1190C22×C4—441no—
1191C22×C4—441no—
1192C22×C4—441no—
1193C22×C4C23×D1111yescharacteristic
1194C22×C4C23×D1111yescharacteristic
1195C22×C4C23×D1111yescharacteristic
1196C22×C4C23×D1111yescharacteristic
1197C22×C4C23×D1111yescharacteristic
1198C22×C4C23×D1111yescharacteristic
1199C22×C4C23×D1111yescharacteristic
1200C22×C4C23×D1111yescharacteristic
1201C22×C4C23×D1111yescharacteristic
1202C22×C4C23×D1111yescharacteristic
1203C22×C4C23×D1111yescharacteristic
1204C22×C4C23×D1111yescharacteristic
1205C22×C4C23×D1111yescharacteristic
1206C22×C4C23×D1111yescharacteristic
1207C4⋊C4—22no—
1208C4⋊C4—41no—
1209C4⋊C4—41no—
1210C4⋊C4—41no—
1211C4⋊C4—41no—
1212C4⋊C4—41no—
1213C4⋊C4—222no—
1214C4⋊C4—222no—
1215C4⋊C4—222no—
1216C4⋊C4—222no—
1217C4⋊C4—222no—
1218C4⋊C4—222no—
1219C4⋊C4—222no—
1220C4⋊C4—222no—
1221C4⋊C4—222no—
1222C4⋊C4—222no—
1223C4⋊C4—222no—
1224C4⋊C4—222no—
1225C4⋊C4—441no—
1226C4⋊C4—441no—
1227C4⋊C4—441no—
1228C4⋊C4—441no—
1229C4⋊C4—441no—
1230C4⋊C4—441no—
1231C4⋊C4—441no—
1232C4⋊C4—441no—
1233C4⋊C4—441no—
1234C4⋊C4—441no—
1235C4⋊C4—441no—
1236C4⋊C4—441no—
1237C4⋊C4—441no—
1238C4⋊C4—441no—
1239C22⋊C4—22no—
1240C22⋊C4—22no—
1241C22⋊C4—22no—
1242C22⋊C4—22no—
1243C22⋊C4—114no—
1244C22⋊C4—222no—
1245C22⋊C4—222no—
1246C22⋊C4—222no—
1247C22⋊C4—222no—
1248C22⋊C4—222no—
1249C22⋊C4—222no—
1250C22⋊C4—222no—
1251C22⋊C4—222no—
1252C22⋊C4—222no—
1253C22⋊C4—222no—
1254C22⋊C4—222no—
1255C22⋊C4—222no—
1256C22⋊C4—222no—
1257C22⋊C4—222no—
1258C22⋊C4—222no—
1259C22⋊C4—222no—
1260C22⋊C4—222no—
1261C22⋊C4—222no—
1262C22⋊C4—222no—
1263C22⋊C4—222no—
1264C22⋊C4—441no—
1265C22⋊C4—441no—
1266C22⋊C4—441no—
1267C22⋊C4—441no—
1268C22⋊C4—441no—
1269C22⋊C4—441no—
1270C22⋊C4—441no—
1271C22⋊C4—441no—
1272C22⋊C4—441no—
1273C22⋊C4—441no—
1274C22⋊C4—441no—
1275C42—22no—
1276C42—41no—
1277C42—222no—
1278C42—222no—
1279C42—441no—
1280C42—441no—
1281C42—441no—
1282C42—441no—
1283C42—441no—
1284C42—441no—
1285C42—441no—
1286C11#3499911yescharacteristic, complemented, Sylow
1287C23—21no—
1288C23—21no—
1289C23—21no—
1290C23—21no—
1291C23—112no—
1292C23—112no—
1293C23—112no—
1294C23—112no—
1295C23—228no—
1296C23—221no—
1297C23—221no—
1298C23—221no—
1299C23—221no—
1300C23—228no—
1301C23—221no—
1302C23—221no—
1303C23—221no—
1304C23—221no—
1305C23—221no—
1306C23—221no—
1307C23—221no—
1308C23—221no—
1309C23—221no—
1310C23—221no—
1311C23—221no—
1312C23—221no—
1313C23—221no—
1314C23—444no—
1315C23—444no—
1316C23—444no—
1317C23—444no—
1318C23—444no—
1319C23#41×D1112yes—
1320C23#41×D1112yes—
1321C23#41×D1112yes—
1322C23C24×D1111yescharacteristic
1323Q8—882no—
1324D4—444no—
1325D4—444no—
1326D4—444no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—44no—
1369C2×C4—44no—
1370C2×C4—82no—
1371C2×C4—112no—
1372C2×C4—112no—
1373C2×C4—112no—
1374C2×C4—112no—
1375C2×C4—228no—
1376C2×C4—221no—
1377C2×C4—221no—
1378C2×C4—221no—
1379C2×C4—221no—
1380C2×C4—221no—
1381C2×C4—221no—
1382C2×C4—221no—
1383C2×C4—221no—
1384C2×C4—221no—
1385C2×C4—221no—
1386C2×C4—221no—
1387C2×C4—221no—
1388C2×C4—221no—
1389C2×C4—221no—
1390C2×C4—221no—
1391C2×C4—221no—
1392C2×C4—221no—
1393C2×C4—221no—
1394C2×C4—221no—
1395C2×C4—221no—
1396C2×C4—221no—
1397C2×C4—221no—
1398C2×C4—221no—
1399C2×C4—221no—
1400C2×C4—221no—
1401C2×C4—221no—
1402C2×C4—221no—
1403C2×C4—221no—
1404C2×C4—221no—
1405C2×C4—221no—
1406C2×C4—221no—
1407C2×C4—221no—
1408C2×C4—221no—
1409C2×C4—221no—
1410C2×C4—221no—
1411C2×C4—444no—
1412C2×C4—444no—
1413C2×C4—444no—
1414C2×C4—444no—
1415C2×C4—444no—
1416C2×C4—444no—
1417C2×C4—444no—
1418C2×C4—444no—
1419C2×C4—444no—
1420C2×C4—882no—
1421C2×C4—882no—
1422C2×C4#6704212yes—
1423C22—22no—
1424C22—22no—
1425C22—22no—
1426C22—22no—
1427C22—22no—
1428C22—22no—
1429C22—114no—
1430C22—222no—
1431C22—222no—
1432C22—222no—
1433C22—222no—
1434C22—222no—
1435C22—222no—
1436C22—222no—
1437C22—222no—
1438C22—222no—
1439C22—4416no—
1440C22—441no—
1441C22—441no—
1442C22—441no—
1443C22—441no—
1444C22—441no—
1445C22—441no—
1446C22—441no—
1447C22—441no—
1448C22—441no—
1449C22—441no—
1450C22—441no—
1451C22#1062323714yes—
1452C22C2×#41×D1111yescharacteristic
1453C22C2×#41×D1111yescharacteristic
1454C22C2×#41×D1111yescharacteristic
1455C22C2×#6704211yescharacteristic
1456C22#1062345311yescharacteristic
1457C22D11×H(5,𝔽2)11yescharacteristic
1458C22D11×2−1+411yescharacteristic
1459C4—22no—
1460C4—41no—
1461C4—41no—
1462C4—41no—
1463C4—41no—
1464C4—41no—
1465C4—41no—
1466C4—41no—
1467C4—41no—
1468C4—41no—
1469C4—41no—
1470C4—41no—
1471C4—41no—
1472C4—41no—
1473C4—222no—
1474C4—222no—
1475C4—222no—
1476C4—222no—
1477C4—441no—
1478C4—441no—
1479C4—441no—
1480C4—441no—
1481C4—441no—
1482C4—441no—
1483C4—441no—
1484C4—441no—
1485C4—441no—
1486C2—24no—
1487C2—224no—
1488C2—442no—
1489C2—881no—
1490C2C2×#1062323711yescharacteristic
1491C2D11×#53911yescharacteristic
1492C2#1308202611yescharacteristic
1493C2#1308230011yescharacteristic
1494C2#1308235911yescharacteristic
1495C2#1308255311yescharacteristic
1496C2#1308266211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2493C2
prime radicalC2×#66935C22
hypercenter#2493D11
hypocenterC11#34999
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2493

Complements

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

NH ≅ G/Ntype
1. #13076951C2semidirect
2. #13076940C2semidirect
3. #13076932C2semidirect
4. #13076923C2semidirect
5. #13074684C2semidirect
6. #13074671C2semidirect
7. #13074669C2semidirect
8. #13074626C2semidirect
9. #13073345C2semidirect
10. #13073266C2semidirect
11. #13073120C2semidirect
12. #13072996C2semidirect
13. #13072942C2semidirect
14. #13072895C2semidirect
15. #13072877C2semidirect
16. #13072759C2semidirect
17. #13072656C2semidirect
18. #13072566C2semidirect
19. #13072443C2semidirect
20. #13072281C2semidirect
21. #13072096C2semidirect
24. #13071346C2semidirect
25. #13071282C2semidirect
26. #13071244C2semidirect
27. #13071217C2semidirect
29. C2×#10622281C2semidirect
30. C4×C22⋊C4×D11C2semidirect
31. C11×#2493C2semidirect
43. C2×#66942C22semidirect
48. C2×#66929C22semidirect
51. C11×#401C22semidirect
52. C11×#400C22semidirect
53. C11×#400C22semidirect
54. C11×#400C22semidirect
55. C11×#387C22semidirect
56. C11×#387C22semidirect
57. C11×#387C22semidirect
60. C11×#383C22semidirect
75. #10622603C22semidirect
80. #10622600C22semidirect
81. #10622597C22semidirect
82. #10622593C22semidirect
83. #10622591C22semidirect
84. #10622591C22semidirect
85. #10622591C22semidirect
86. #10622590C22semidirect
87. #10622585C22semidirect
88. #10622585C22semidirect
89. #10622585C22semidirect
102. #10622553C22semidirect
105. #10622546C22semidirect
106. #10622546C22semidirect
108. #10622289C22semidirect
114. #10622288C22semidirect
115. #10622288C22semidirect
119. #10622286C22semidirect
123. #10622283C22semidirect
124. #10622283C22semidirect
125. #10622283C22semidirect
126. #10622283C22semidirect
127. #10622282C22semidirect
139. #10622281C22semidirect
140. #10622281C22semidirect
156. #10622277C22semidirect
159. #10622273C22semidirect
160. #10622271C22semidirect
161. #10622271C22semidirect
162. #10622271C22semidirect
163. #10622271C22semidirect
164. #10622270C22semidirect
165. #10622268C22semidirect
166. #10622268C22semidirect
167. #10622268C22semidirect
168. #10622267C22semidirect
169. #10622267C22semidirect
170. #10622267C22semidirect
171. #10622267C22semidirect
172. #10622266C22semidirect
173. #10622266C22semidirect
174. #10622266C22semidirect
175. #10622266C22semidirect
176. #10622266C22semidirect
177. #10622266C22semidirect
178. #10622266C22semidirect
179. #10622265C22semidirect
180. #10622264C22semidirect
181. #10622263C22semidirect
182. #10622260C22semidirect
183. #10622260C22semidirect
184. #10622259C22semidirect
185. #10622259C22semidirect
186. #10622259C22semidirect
551. #2493D11semidirect
725. #401C2×D11semidirect
731. #400C2×D11semidirect
732. #400C2×D11semidirect
733. #400C2×D11semidirect
792. #387C2×D11semidirect
793. #387C2×D11semidirect
794. #387C2×D11semidirect
828. #383C2×D11semidirect
1286. C11#34999semidirect

Maximal subgroups

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

subgroupindex
#130769512
#130769402
#130769322
#130769232
#130746842
#130746712
#130746692
#130746262
#130733452
#130732662
#130731202
#130729962
#130729422
#130728952
#130728772
#130727592
#130726562
#130725662
#130724432
#130722812
#130720962
#130720142
#130720092
#130713462
#130712822
#130712442
#130712172
#130711172
C2×#106222812
C4×C22⋊C4×D112
C11×#24932
#3499911