Finite Group Databasebeta

← #14925958

Subgroups — #14925958

Order 2816.

1976 conjugacy classes of subgroups.

The subgroup lattice has 1430 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13074153C211yesmaximal, characteristic, complemented
2#13074126C211yesmaximal, characteristic, complemented
3#13074075C211yesmaximal, characteristic, complemented
4#13074048C211yesmaximal, characteristic, complemented
5#13073936C211yesmaximal, characteristic, complemented
6#13073909C211yesmaximal, characteristic, complemented
7#13073753C211yesmaximal, characteristic, complemented
8#13073726C211yesmaximal, characteristic, complemented
9#13072999C211yesmaximal, characteristic, complemented
10#13072944C211yesmaximal, characteristic, complemented
11#13072876C211yesmaximal, characteristic, complemented
12#13072751C211yesmaximal, characteristic, complemented
13#13072431C211yesmaximal, characteristic, complemented
14#13072173C211yesmaximal, characteristic
15#13072087C211yesmaximal, characteristic, complemented
16#13071920C211yesmaximal, characteristic, complemented
17#13071913C211yesmaximal, characteristic, complemented
18#13071885C211yesmaximal, characteristic, complemented
19#13071872C211yesmaximal, characteristic, complemented
20#13071173C211yesmaximal, characteristic, complemented
21#13071170C211yesmaximal, characteristic, complemented
22#13071148C211yesmaximal, characteristic, complemented
23#13071148C211yesmaximal, characteristic, complemented
24#13071141C211yesmaximal, characteristic, complemented
25#13071141C211yesmaximal, characteristic, complemented
26#123×Dic11C211yesmaximal, characteristic, complemented
27#121×Dic11C211yesmaximal, characteristic
28#13071056C211yesmaximal, characteristic, complemented
29C4×D4×Dic11C211yesmaximal, characteristic, complemented
30C2×C4⋊C4×Dic11C211yesmaximal, characteristic, complemented
31C11×#2443C211yesmaximal, characteristic
32C2×C11×#123C2211yescharacteristic
33C2×C11×#121C2211yescharacteristic
34C2×C4×D4×C11C2211yescharacteristic
35C22×C11×C4⋊C4C2211yescharacteristic
36C2×#66988C2211yescharacteristic
37C2×#66988C2211yescharacteristic
38C2×D4×Dic11C2211yescharacteristic
39C2×D4×Dic11C2211yescharacteristic
40C2×D4×Dic11C2211yescharacteristic
41C2×D4×Dic11C2211yescharacteristic
42C22×C4⋊Dic11C2211yescharacteristic
43C22×C4×Dic11C2211yescharacteristic
44C22×C4×Dic11C2211yescharacteristic
45C22×C4×Dic11C2211yescharacteristic
46C22×C4×Dic11C2211yescharacteristic
47C2×#66942C2211yescharacteristic
48C2×#66940C2211yescharacteristic
49C2×#66932C2211yescharacteristic
50C2×#66931C2211yescharacteristic
51C2×#66931C2211yescharacteristic
52C2×#66930C2211yescharacteristic
53C11×#399C2211yescharacteristic
54C11×#398C2211yescharacteristic
55C11×#397C2211yescharacteristic
56C11×#394C2211yescharacteristic
57C11×#388C2211yescharacteristic
58C11×#387C2211yescharacteristic
59C11×#386C2211yescharacteristic
60C11×#386C2211yescharacteristic
61C11×#386C2211yescharacteristic
62C11×#385C2211yescharacteristic
63C11×#385C2211yescharacteristic
64#10622835C2211yescharacteristic
65#10622834C2211yescharacteristic
66#10622833C2211yescharacteristic
67#10622833C2211yescharacteristic
68#10622833C2211yescharacteristic
69#10622833C2211yescharacteristic
70#10622825C2211yescharacteristic
71#10622824C2211yescharacteristic
72#10622823C2211yescharacteristic
73#10622823C2211yescharacteristic
74#10622823C2211yescharacteristic
75#10622823C2211yescharacteristic
76#10622823C2211yescharacteristic
77C4×C22⋊Dic11C2211yescharacteristic
78C4×C22⋊Dic11C2211yescharacteristic
79C2×C11⋊#95C2211yescharacteristic
80C2×C11⋊#95C2211yescharacteristic
81#10622599C2211yescharacteristic
82#10622598C2211yescharacteristic
83#10622597C2211yescharacteristic
84#10622597C2211yescharacteristic
85#10622596C2211yescharacteristic
86#10622595C2211yescharacteristic
87#10622595C2211yescharacteristic
88#10622595C2211yescharacteristic
89#10622594C2211yescharacteristic
90#10622594C2211yescharacteristic
91#10622593C2211yescharacteristic
92#10622593C2211yescharacteristic
93#10622591C2211yescharacteristic
94#10622591C2211yescharacteristic
95#10622591C2211yescharacteristic
96C4⋊C4×Dic11C2211yescharacteristic
97C4⋊C4×Dic11C2211yescharacteristic
98C4⋊C4×Dic11C2211yescharacteristic
99C4⋊C4×Dic11C2211yescharacteristic
100C4⋊C4×Dic11C2211yescharacteristic
101C4⋊C4×Dic11C2211yescharacteristic
102C4⋊C4×Dic11C2211yescharacteristic
103C4⋊C4×Dic11C2211yescharacteristic
104C4⋊C4×Dic11C2211yescharacteristic
105C4⋊C4×Dic11C2211yescharacteristic
106C4⋊C4×Dic11C2211yescharacteristic
107C4⋊C4×Dic11C2211yescharacteristic
108#10622585C2211yescharacteristic
109#10622585C2211yescharacteristic
110#10622585C2211yescharacteristic
111#10622566C2211yescharacteristic
112#10622565C2211yescharacteristic
113#10622565C2211yescharacteristic
114#10622565C2211yescharacteristic
115#10622565C2211yescharacteristic
116#10622564C2211yescharacteristic
117#10622564C2211yescharacteristic
118#10622564C2211yescharacteristic
119#10622564C2211yescharacteristic
120#10622563C2211yescharacteristic
121#10622562C2211yescharacteristic
122#10622561C2211yescharacteristic
123#10622561C2211yescharacteristic
124#10622561C2211yescharacteristic
125#10622560C2211yescharacteristic
126#10622559C2211yescharacteristic
127#10622558C2211yescharacteristic
128#10622558C2211yescharacteristic
129#10622558C2211yescharacteristic
130#10622558C2211yescharacteristic
131#10622558C2211yescharacteristic
132#10622558C2211yescharacteristic
133#10622557C2211yescharacteristic
134#10622557C2211yescharacteristic
135#10622556C2211yescharacteristic
136#10622556C2211yescharacteristic
137#10622555C2211yescharacteristic
138#10622555C2211yescharacteristic
139C22⋊C4×Dic11C2211yescharacteristic
140C22⋊C4×Dic11C2211yescharacteristic
141C22⋊C4×Dic11C2211yescharacteristic
142C22⋊C4×Dic11C2211yescharacteristic
143C22⋊C4×Dic11C2211yescharacteristic
144C22⋊C4×Dic11C2211yescharacteristic
145C22⋊C4×Dic11C2211yescharacteristic
146C22⋊C4×Dic11C2211yescharacteristic
147C22⋊C4×Dic11C2211yescharacteristic
148C22⋊C4×Dic11C2211yescharacteristic
149C22⋊C4×Dic11C2211yescharacteristic
150C22⋊C4×Dic11C2211yescharacteristic
151C4×C4⋊Dic11C2211yescharacteristic
152#10622546C2211yescharacteristic
153#10622546C2211yescharacteristic
154C42×Dic11C2211yescharacteristic
155C11⋊#401C2211yescharacteristic
156#10622274C2211yescharacteristic
157#10622273C2211yescharacteristic
158#10622273C2211yescharacteristic
159#10622273C2211yescharacteristic
160#10622272C2211yescharacteristic
161#10622271C2211yescharacteristic
162#10622269C2211yescharacteristic
163#10622268C2211yescharacteristic
164#10622268C2211yescharacteristic
165#10622268C2211yescharacteristic
166#10622268C2211yescharacteristic
167#10622268C2211yescharacteristic
168#10622267C2211yescharacteristic
169#10622267C2211yescharacteristic
170#10622267C2211yescharacteristic
171#10622266C2211yescharacteristic
172#10622266C2211yescharacteristic
173#10622266C2211yescharacteristic
174#10622264C2211yescharacteristic
175#10622263C2211yescharacteristic
176#10622262C2211yescharacteristic
177#10622262C2211yescharacteristic
178#10622262C2211yescharacteristic
179#10622262C2211yescharacteristic
180#10622262C2211yescharacteristic
181#10622262C2211yescharacteristic
182#10622262C2211yescharacteristic
183#10622261C2211yescharacteristic
184#10622260C2211yescharacteristic
185#10622259C2211yescharacteristic
186#10622259C2211yescharacteristic
187C22×D4×C11C2311yescharacteristic
188C22×D4×C11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C23×Dic11C2311yescharacteristic
195C23×Dic11C2311yescharacteristic
196C23×Dic11C2311yescharacteristic
197C23×Dic11C2311yescharacteristic
198C23×Dic11C2311yescharacteristic
199C23×Dic11C2311yescharacteristic
200C23×Dic11C2311yescharacteristic
201C22×Dic22C2311yescharacteristic
202C11×#123—24no—
203C11×#121—24no—
204C4×D4×C11—24no—
205C2×C11×C4⋊C4—24no—
206C2×C11×C4⋊C4C2311yescharacteristic
207C2×C11×C4⋊C4C2311yescharacteristic
208C2×C11×C4⋊C4C2311yescharacteristic
209C2×C11×C4⋊C4C2311yescharacteristic
210C2×C11×C4⋊C4C2311yescharacteristic
211C2×C11×C4⋊C4C2311yescharacteristic
212C2×C11×C4⋊C4C2311yescharacteristic
213C2×C11×C4⋊C4C2311yescharacteristic
214C2×C11×C22⋊C4C2311yescharacteristic
215C2×C11×C22⋊C4C2311yescharacteristic
216C2×C11×C22⋊C4C2311yescharacteristic
217C2×C11×C22⋊C4C2311yescharacteristic
218C2×C11×C22⋊C4C2311yescharacteristic
219C2×C11×C22⋊C4C2311yescharacteristic
220C2×C11×C22⋊C4C2311yescharacteristic
221C2×C11×C22⋊C4C2311yescharacteristic
222C2×C11×C22⋊C4C2311yescharacteristic
223C2×C11×C22⋊C4C2311yescharacteristic
224C2×C11×C22⋊C4C2311yescharacteristic
225C2×C42×C11C2311yescharacteristic
226C2×C22⋊Dic11C2311yescharacteristic
227C2×C22⋊Dic11C2311yescharacteristic
228C2×C22⋊Dic11C2311yescharacteristic
229C2×C22⋊Dic11C2311yescharacteristic
230C2×C22⋊Dic11C2311yescharacteristic
231C2×C22⋊Dic11C2311yescharacteristic
232C2×C22⋊Dic11C2311yescharacteristic
233C2×C22⋊Dic11C2311yescharacteristic
234C2×C22⋊Dic11C2311yescharacteristic
235C2×C22⋊Dic11C2311yescharacteristic
236C2×C22⋊Dic11C2311yescharacteristic
237C2×C22⋊Dic11C2311yescharacteristic
238C2×C22⋊Dic11C2311yescharacteristic
239C2×C22⋊Dic11C2311yescharacteristic
240C2×C22⋊Dic11C2311yescharacteristic
241C2×C22⋊Dic11C2311yescharacteristic
242C2×C22⋊Dic11C2311yescharacteristic
243#66988—24no—
244#66988—24no—
245D4×Dic11—24no—
246D4×Dic11—24no—
247D4×Dic11—24no—
248D4×Dic11—42no—
249C2×C4⋊Dic11—24no—
250C2×C4⋊Dic11C2311yescharacteristic
251C2×C4⋊Dic11C2311yescharacteristic
252C2×C4⋊Dic11C2311yescharacteristic
253C2×C4⋊Dic11C2311yescharacteristic
254C2×C4⋊Dic11C2311yescharacteristic
255C2×C4⋊Dic11C2311yescharacteristic
256C2×C4⋊Dic11C2311yescharacteristic
257C2×C4⋊Dic11C2311yescharacteristic
258C2×C4⋊Dic11C2311yescharacteristic
259C2×C4⋊Dic11C2311yescharacteristic
260C2×Dic11⋊C4C2311yescharacteristic
261C2×Dic11⋊C4C2311yescharacteristic
262C2×Dic11⋊C4C2311yescharacteristic
263C2×Dic11⋊C4C2311yescharacteristic
264C2×Dic11⋊C4C2311yescharacteristic
265C2×Dic11⋊C4C2311yescharacteristic
266C2×Dic11⋊C4C2311yescharacteristic
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×C4×Dic11—24no—
279C2×C4×Dic11—42no—
280C2×C4×Dic11—42no—
281C2×C4×Dic11—42no—
282C2×C4×Dic11C2311yescharacteristic
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
295C2×C4×Dic11C2311yescharacteristic
296C2×C4×Dic11C2311yescharacteristic
297C2×C4×Dic11C2311yescharacteristic
298C2×C4×Dic11C2311yescharacteristic
299C2×C4×Dic11C2311yescharacteristic
300C2×C4×Dic11C2311yescharacteristic
301C2×C4×Dic11C2311yescharacteristic
302C2×C4×Dic11C2311yescharacteristic
303C2×C4×Dic11C2311yescharacteristic
304C2×C4×Dic11C2311yescharacteristic
305#66942—24no—
306#66940—42no—
307#66932—24no—
308#66931—24no—
309#66931—24no—
310#66930—42no—
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#34960—111nomaximal, Sylow
364C24×C11C2411yescharacteristic
365C24×C11C2411yescharacteristic
366C24×C11C2411yescharacteristic
367C2×D4×C11—22no—
368C2×D4×C11—22no—
369C2×D4×C11—22no—
370C2×D4×C11—22no—
371C2×D4×C11—22no—
372C2×D4×C11—22no—
373C2×D4×C11—22no—
374C2×D4×C11—41no—
375C2×D4×C11#4114yes—
376C22×C4×C11—22no—
377C22×C4×C11—22no—
378C22×C4×C11—22no—
379C22×C4×C11—22no—
380C22×C4×C11—22no—
381C22×C4×C11—22no—
382C22×C4×C11—22no—
383C22×C4×C11—22no—
384C22×C4×C11—22no—
385C22×C4×C11—41no—
386C22×C4×C11—41no—
387C22×C4×C11—41no—
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
398C22×C4×C11C2411yescharacteristic
399C22×C4×C11C2411yescharacteristic
400C22×Dic11—22no—
401C22×Dic11—22no—
402C22×Dic11—22no—
403C22×Dic11—22no—
404C22×Dic11—22no—
405C22×Dic11—22no—
406C22×Dic11—22no—
407C22×Dic11—22no—
408C22×Dic11—22no—
409C22×Dic11—22no—
410C22×Dic11—22no—
411C22×Dic11—22no—
412C22×Dic11—22no—
413C22×Dic11—22no—
414C22×Dic11—22no—
415C22×Dic11—22no—
416C22×Dic11—22no—
417C22×Dic11—41no—
418C22×Dic11—41no—
419C22×Dic11—41no—
420C22×Dic11#4114yes—
421C22×Dic11C2411yescharacteristic
422C22×Dic11C2411yescharacteristic
423C22×Dic11C2411yescharacteristic
424C22×Dic11C2411yescharacteristic
425C22×Dic11C2411yescharacteristic
426C22×Dic11C2411yescharacteristic
427C22×Dic11C2411yescharacteristic
428C22×Dic11C2411yescharacteristic
429C22×Dic11C2411yescharacteristic
430C22×Dic11C2411yescharacteristic
431C22×Dic11C2411yescharacteristic
432C22×Dic11C2411yescharacteristic
433C22×Dic11C2411yescharacteristic
434C22×Dic11C2411yescharacteristic
435C22×Dic11C2411yescharacteristic
436C22×Dic11C2411yescharacteristic
437C2×Dic22—22no—
438C2×Dic22—22no—
439C2×Dic22—41no—
440C11×C4⋊C4—22no—
441C11×C4⋊C4—22no—
442C11×C4⋊C4—22no—
443C11×C4⋊C4—22no—
444C11×C4⋊C4—22no—
445C11×C4⋊C4—22no—
446C11×C4⋊C4—41no—
447C11×C4⋊C4#4114yes—
448C11×C22⋊C4—22no—
449C11×C22⋊C4—22no—
450C11×C22⋊C4—22no—
451C11×C22⋊C4—22no—
452C11×C22⋊C4—22no—
453C11×C22⋊C4—22no—
454C11×C22⋊C4—22no—
455C11×C22⋊C4—22no—
456C11×C22⋊C4—22no—
457C11×C22⋊C4—22no—
458C11×C22⋊C4—41no—
459C42×C11—22no—
460C22⋊Dic11—22no—
461C22⋊Dic11—22no—
462C22⋊Dic11—22no—
463C22⋊Dic11—22no—
464C22⋊Dic11—22no—
465C22⋊Dic11—22no—
466C22⋊Dic11—22no—
467C22⋊Dic11—22no—
468C22⋊Dic11—22no—
469C22⋊Dic11—22no—
470C22⋊Dic11—22no—
471C22⋊Dic11—22no—
472C22⋊Dic11—22no—
473C22⋊Dic11—41no—
474C22⋊Dic11—41no—
475C22⋊Dic11—41no—
476C22⋊Dic11#4114yes—
477C4⋊Dic11—22no—
478C4⋊Dic11—22no—
479C4⋊Dic11—22no—
480C4⋊Dic11—22no—
481C4⋊Dic11—22no—
482C4⋊Dic11—22no—
483C4⋊Dic11—22no—
484C4⋊Dic11—22no—
485C4⋊Dic11—41no—
486C4⋊Dic11#4114yes—
487Dic11⋊C4—22no—
488Dic11⋊C4—22no—
489Dic11⋊C4—22no—
490Dic11⋊C4—22no—
491Dic11⋊C4—22no—
492Dic11⋊C4—22no—
493Dic11⋊C4—22no—
494Dic11⋊C4—22no—
495Dic11⋊C4—22no—
496Dic11⋊C4—22no—
497Dic11⋊C4—22no—
498Dic11⋊C4—22no—
499Dic11⋊C4—22no—
500Dic11⋊C4—22no—
501Dic11⋊C4—41no—
502Dic11⋊C4—41no—
503Dic11⋊C4—41no—
504Dic11⋊C4—41no—
505C4×Dic11—22no—
506C4×Dic11—22no—
507C4×Dic11—22no—
508C4×Dic11—22no—
509C4×Dic11—22no—
510C4×Dic11—22no—
511C4×Dic11—22no—
512C4×Dic11—22no—
513C4×Dic11—22no—
514C4×Dic11—22no—
515C4×Dic11—22no—
516C4×Dic11—22no—
517C4×Dic11—22no—
518C4×Dic11—22no—
519C4×Dic11—22no—
520C4×Dic11—22no—
521C4×Dic11—22no—
522C4×Dic11—41no—
523C4×Dic11—41no—
524C4×Dic11—41no—
525C4×Dic11—41no—
526C4×Dic11—41no—
527C4×Dic11—41no—
528#2596—111no—
529#2594—111no—
530#2590—111no—
531#2588—111no—
532#2577—111no—
533#2575—111no—
534#2560—111no—
535#2558—111no—
536#2493—111no—
537#2488—111no—
538#2481—111no—
539#2473—111no—
540#2449—111no—
541#2443D1111yescharacteristic
542#2425—111no—
543#2419—111no—
544#2402—111no—
545#2401—111no—
546#2396—111no—
547#2395—111no—
548C4×#125—111no—
549C4×#126—111no—
550C4×C22⋊Q8—111no—
551C4×C22⋊Q8—111no—
552C4×#123—111no—
553C4×#123—111no—
554C4×#123—111no—
555C4×#121—111no—
556#2290—111no—
557C42×D4—111no—
558C2×C4×C4⋊C4—111no—
559C23×C11—21no—
560C23×C11—21no—
561C23×C11—21no—
562C23×C11—21no—
563C23×C11—21no—
564C23×C11—21no—
565C23×C11—21no—
566C23×C11—21no—
567C23×C11—21no—
568C23×C11—21no—
569C23×C11—21no—
570C23×C11—21no—
571C23×C11—21no—
572C23×C11—21no—
573C23×C11—21no—
574C23×C11—21no—
575C23×C11—21no—
576C23×C11C2×#4112yes—
577C23×C11C2×#4112yes—
578C23×C11C2×#4112yes—
579C23×C11C2×#4112yes—
580C23×C11C2511yescharacteristic
581D4×C11—28no—
582D4×C11—44no—
583D4×C11—44no—
584C2×C4×C11—28no—
585C2×C4×C11—21no—
586C2×C4×C11—21no—
587C2×C4×C11—21no—
588C2×C4×C11—21no—
589C2×C4×C11—21no—
590C2×C4×C11—21no—
591C2×C4×C11—21no—
592C2×C4×C11—21no—
593C2×C4×C11—21no—
594C2×C4×C11—21no—
595C2×C4×C11—21no—
596C2×C4×C11—21no—
597C2×C4×C11—21no—
598C2×C4×C11—21no—
599C2×C4×C11—21no—
600C2×C4×C11—21no—
601C2×C4×C11—21no—
602C2×C4×C11—21no—
603C2×C4×C11—21no—
604C2×C4×C11—21no—
605C2×C4×C11—21no—
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—44no—
617C2×C4×C11—44no—
618C2×C4×C11—44no—
619C2×C4×C11C2×#4112yes—
620C2×C4×C11C2×#4112yes—
621C2×C4×C11C2×#4112yes—
622C2×C4×C11C2×#4112yes—
623C2×C4×C11C2×#4112yes—
624C2×Dic11—21no—
625C2×Dic11—21no—
626C2×Dic11—21no—
627C2×Dic11—21no—
628C2×Dic11—21no—
629C2×Dic11—21no—
630C2×Dic11—21no—
631C2×Dic11—21no—
632C2×Dic11—21no—
633C2×Dic11—21no—
634C2×Dic11—28no—
635C2×Dic11—21no—
636C2×Dic11—21no—
637C2×Dic11—21no—
638C2×Dic11—21no—
639C2×Dic11—21no—
640C2×Dic11—21no—
641C2×Dic11—21no—
642C2×Dic11—21no—
643C2×Dic11—21no—
644C2×Dic11—21no—
645C2×Dic11—21no—
646C2×Dic11—21no—
647C2×Dic11—21no—
648C2×Dic11—21no—
649C2×Dic11—21no—
650C2×Dic11—21no—
651C2×Dic11—21no—
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—44no—
666C2×Dic11—44no—
667C2×Dic11—44no—
668C2×Dic11—44no—
669C2×Dic11—44no—
670C2×Dic11—44no—
671C2×Dic11C2×#4112yes—
672C2×Dic11C2×#4112yes—
673C2×Dic11C2×#4112yes—
674C2×Dic11C2×#4112yes—
675C2×Dic11C2×#4112yes—
676C2×Dic11C2×#4112yes—
677C2×Dic11H(5,𝔽2)12yes—
678C2×Dic112−1+412yes—
679Dic22—44no—
680C2×#126—111no—
681C2×#125—111no—
682C2×#123—111no—
683C2×#123—111no—
684C2×#123C2×D1111yescharacteristic
685C2×C22⋊Q8—111no—
686C2×C22⋊Q8—111no—
687C2×#121C2×D1111yescharacteristic
688C2×C4×Q8—111no—
689C2×C4×D4—111no—
690C2×C4×D4—111no—
691C2×C4×D4—111no—
692C2×C4×D4—111no—
693C2×C4×D4C2×D1111yescharacteristic
694C2×#117—111no—
695C22×C4⋊C4—111no—
696C22×C4⋊C4C2×D1111yescharacteristic
697C22×C42—111no—
698C22×C42—111no—
699C22×C42—111no—
700C22×C42—111no—
701#401—111no—
702#400—111no—
703#400—111no—
704#400—111no—
705#400—111no—
706#400—111no—
707#400—111no—
708#400—111no—
709#400—111no—
710#400—111no—
711#399—111no—
712#399C2×D1111yescharacteristic
713#398—111no—
714#398—111no—
715#398—111no—
716#398—111no—
717#398—111no—
718#398—111no—
719#398C2×D1111yescharacteristic
720#397—111no—
721#397—111no—
722#397—111no—
723#397—111no—
724#397—111no—
725#397C2×D1111yescharacteristic
726#396—111no—
727#396—111no—
728#396—111no—
729#395—111no—
730#394—111no—
731#394C2×D1111yescharacteristic
732#393—111no—
733#391—111no—
734#391—111no—
735#390—111no—
736#389—111no—
737#389—111no—
738#389—111no—
739#389—111no—
740#389—111no—
741#388—111no—
742#388—111no—
743#388—111no—
744#388—111no—
745#388—111no—
746#388—111no—
747#388—111no—
748#388—111no—
749#388—111no—
750#388—111no—
751#388—111no—
752#388—111no—
753#388C2×D1111yescharacteristic
754#387—111no—
755#387—111no—
756#387—111no—
757#387—111no—
758#387—111no—
759#387—111no—
760#387—111no—
761#387—111no—
762#387—111no—
763#387—111no—
764#387—111no—
765#387—111no—
766#387—111no—
767#387—111no—
768#387—111no—
769#387—111no—
770#387—111no—
771#387—111no—
772#387C2×D1111yescharacteristic
773#386—111no—
774#386—111no—
775#386—111no—
776#386—111no—
777#386C2×D1111yescharacteristic
778#386C2×D1111yescharacteristic
779#386C2×D1111yescharacteristic
780#385—111no—
781#385—111no—
782#385—111no—
783#385—111no—
784#385—111no—
785#385—111no—
786#385—111no—
787#385C2×D1111yescharacteristic
788#385C2×D1111yescharacteristic
789#383—111no—
790#382—111no—
791#381—111no—
792#381—111no—
793#381—111no—
794#380—111no—
795#380—111no—
796#380—111no—
797C4×C4⋊C4—111no—
798C4×C4⋊C4—111no—
799C4×C4⋊C4—111no—
800C4×C4⋊C4—111no—
801C4×C4⋊C4—111no—
802C4×C4⋊C4—111no—
803C4×C4⋊C4—111no—
804C4×C4⋊C4—111no—
805C4×C4⋊C4—111no—
806C4×C4⋊C4—111no—
807C4×C4⋊C4—111no—
808C4×C4⋊C4—111no—
809C4×C4⋊C4—111no—
810C4×C4⋊C4—111no—
811C4×C4⋊C4—111no—
812C4×C4⋊C4—111no—
813C4×C4⋊C4—111no—
814C4×C4⋊C4—111no—
815C4×C4⋊C4—111no—
816C4×C4⋊C4—111no—
817C4×C22⋊C4—111no—
818C4×C22⋊C4—111no—
819C4×C22⋊C4—111no—
820C4×C22⋊C4—111no—
821C4×C22⋊C4—111no—
822C4×C22⋊C4—111no—
823C4×C22⋊C4—111no—
824C4×C22⋊C4—111no—
825C4×C22⋊C4—111no—
826C4×C22⋊C4—111no—
827C4×C22⋊C4—111no—
828C4×C22⋊C4—111no—
829C4×C22⋊C4—111no—
830C4×C22⋊C4—111no—
831#376—111no—
832C2×#95—111no—
833C2×#95—111no—
834C43—111no—
835C22×C11—22no—
836C22×C11—22no—
837C22×C11—22no—
838C22×C11—22no—
839C22×C11—22no—
840C22×C11—22no—
841C22×C11—22no—
842C22×C11—22no—
843C22×C11—22no—
844C22×C11—41no—
845C22×C11—41no—
846C22×C11—41no—
847C22×C11—41no—
848C22×C11—41no—
849C22×C11—41no—
850C22×C11—41no—
851C22×C11—41no—
852C22×C11—41no—
853C22×C11—41no—
854C22×C11—41no—
855C22×C11#52914yes—
856C22×C11C22×#4111yescharacteristic
857C22×C11C22×#4111yescharacteristic
858C22×C11C22×#4111yescharacteristic
859C22×C11C22×#4111yescharacteristic
860C22×C11C22×#4111yescharacteristic
861C22×C11C2×H(5,𝔽2)11yescharacteristic
862C22×C11C2×2−1+411yescharacteristic
863C4×C11—22no—
864C4×C11—22no—
865C4×C11—22no—
866C4×C11—22no—
867C4×C11—22no—
868C4×C11—41no—
869C4×C11—41no—
870C4×C11—41no—
871C4×C11—41no—
872C4×C11—41no—
873C4×C11—41no—
874C4×C11—41no—
875Dic11—22no—
876Dic11—22no—
877Dic11—22no—
878Dic11—22no—
879Dic11—22no—
880Dic11—41no—
881Dic11—41no—
882Dic11—41no—
883Dic11—41no—
884Dic11—41no—
885Dic11—41no—
886Dic11—41no—
887Dic11—41no—
888Dic11—41no—
889Dic11—41no—
890Dic11#53914yes—
891C22×Q8—111no—
892C22×D4C22×D1111yescharacteristic
893C22×D4C22×D1111yescharacteristic
894C22×D4C22×D1111yescharacteristic
895C23×C4—111no—
896C23×C4—111no—
897C23×C4—111no—
898C23×C4—111no—
899C23×C4—111no—
900C23×C4—111no—
901C23×C4—111no—
902C23×C4C22×D1111yescharacteristic
903C23×C4C22×D1111yescharacteristic
904C23×C4C22×D1111yescharacteristic
905C23×C4C22×D1111yescharacteristic
906#126—224no—
907#125—224no—
908#123—24no—
909#123—224no—
910#123—224no—
911C22⋊Q8—224no—
912C22⋊Q8—224no—
913#121—24no—
914C4×Q8—442no—
915C4×D4—24no—
916C4×D4—224no—
917C4×D4—224no—
918C4×D4—224no—
919C4×D4—442no—
920#117—442no—
921C2×C4⋊C4—24no—
922C2×C4⋊C4—111no—
923C2×C4⋊C4—111no—
924C2×C4⋊C4—111no—
925C2×C4⋊C4—111no—
926C2×C4⋊C4—111no—
927C2×C4⋊C4—111no—
928C2×C4⋊C4—111no—
929C2×C4⋊C4—111no—
930C2×C4⋊C4—111no—
931C2×C4⋊C4—111no—
932C2×C4⋊C4—111no—
933C2×C4⋊C4—111no—
934C2×C4⋊C4—111no—
935C2×C4⋊C4—111no—
936C2×C4⋊C4—111no—
937C2×C4⋊C4—111no—
938C2×C4⋊C4—111no—
939C2×C4⋊C4—111no—
940C2×C4⋊C4—111no—
941C2×C4⋊C4—111no—
942C2×C4⋊C4—111no—
943C2×C4⋊C4—111no—
944C2×C4⋊C4—111no—
945C2×C4⋊C4—111no—
946C2×C4⋊C4—111no—
947C2×C4⋊C4—111no—
948C2×C4⋊C4—111no—
949C2×C4⋊C4—111no—
950C2×C4⋊C4—224no—
951C2×C4⋊C4C22×D1111yescharacteristic
952C2×C4⋊C4C22×D1111yescharacteristic
953C2×C4⋊C4C22×D1111yescharacteristic
954C2×C4⋊C4C22×D1111yescharacteristic
955C2×C4⋊C4C22×D1111yescharacteristic
956C2×C4⋊C4C22×D1111yescharacteristic
957C2×C4⋊C4C22×D1111yescharacteristic
958C2×C4⋊C4C22×D1111yescharacteristic
959C2×C22⋊C4—111no—
960C2×C22⋊C4—111no—
961C2×C22⋊C4—111no—
962C2×C22⋊C4—111no—
963C2×C22⋊C4—111no—
964C2×C22⋊C4—111no—
965C2×C22⋊C4—111no—
966C2×C22⋊C4—111no—
967C2×C22⋊C4—111no—
968C2×C22⋊C4—111no—
969C2×C22⋊C4—111no—
970C2×C22⋊C4—111no—
971C2×C22⋊C4—111no—
972C2×C22⋊C4—111no—
973C2×C22⋊C4—111no—
974C2×C22⋊C4—111no—
975C2×C22⋊C4—111no—
976C2×C22⋊C4C22×D1111yescharacteristic
977C2×C22⋊C4C22×D1111yescharacteristic
978C2×C22⋊C4C22×D1111yescharacteristic
979C2×C22⋊C4C22×D1111yescharacteristic
980C2×C22⋊C4C22×D1111yescharacteristic
981C2×C22⋊C4C22×D1111yescharacteristic
982C2×C22⋊C4C22×D1111yescharacteristic
983C2×C22⋊C4C22×D1111yescharacteristic
984C2×C22⋊C4C22×D1111yescharacteristic
985C2×C22⋊C4C22×D1111yescharacteristic
986C2×C22⋊C4C22×D1111yescharacteristic
987C2×C42—111no—
988C2×C42—111no—
989C2×C42—111no—
990C2×C42—111no—
991C2×C42—111no—
992C2×C42—111no—
993C2×C42—111no—
994C2×C42—111no—
995C2×C42—111no—
996C2×C42—111no—
997C2×C42—111no—
998C2×C42—111no—
999C2×C42—111no—
1000C2×C42—111no—
1001C2×C42—111no—
1002C2×C42—111no—
1003C2×C42—111no—
1004C2×C42—111no—
1005C2×C42—111no—
1006C2×C42—111no—
1007C2×C42—111no—
1008C2×C42—111no—
1009C2×C42—111no—
1010C2×C42—224no—
1011C2×C42—442no—
1012C2×C42—442no—
1013C2×C42—442no—
1014C2×C42C22×D1111yescharacteristic
1015#95—111no—
1016#95—111no—
1017#95—111no—
1018#95—111no—
1019#95—111no—
1020#95—111no—
1021#95—111no—
1022#95—111no—
1023#95—111no—
1024#95—111no—
1025#95—111no—
1026#95—111no—
1027#95—111no—
1028#95—111no—
1029#95—111no—
1030#95—111no—
1031#95—111no—
1032#95—111no—
1033#95—111no—
1034#95—111no—
1035#95—111no—
1036#95—111no—
1037#95—111no—
1038#95—111no—
1039#95—111no—
1040#95—111no—
1041#95—111no—
1042#95—111no—
1043#95—111no—
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#95C22×D1111yescharacteristic
1060#95C22×D1111yescharacteristic
1061#95C22×D1111yescharacteristic
1062#95C22×D1111yescharacteristic
1063#95C22×D1111yescharacteristic
1064#95C22×D1111yescharacteristic
1065#95C22×D1111yescharacteristic
1066#95C22×D1111yescharacteristic
1067C2×C11—24no—
1068C2×C11—42no—
1069C2×C11—81no—
1070C2×C11C2×#52911yescharacteristic
1071C2×C11#344411yescharacteristic
1072C2×C11C2×#53911yescharacteristic
1073C2×C11#348111yescharacteristic
1074C2×C11#348111yescharacteristic
1075C2×C11#348211yescharacteristic
1076C2×C11#348211yescharacteristic
1077C24C23×D1111yescharacteristic
1078C24C23×D1111yescharacteristic
1079C24C23×D1111yescharacteristic
1080C2×Q8—222no—
1081C2×Q8—222no—
1082C2×Q8—441no—
1083C2×D4—22no—
1084C2×D4—22no—
1085C2×D4—22no—
1086C2×D4—22no—
1087C2×D4—22no—
1088C2×D4—22no—
1089C2×D4—22no—
1090C2×D4—41no—
1091C2×D4#434114yes—
1092C22×C4—22no—
1093C22×C4—22no—
1094C22×C4—22no—
1095C22×C4—22no—
1096C22×C4—22no—
1097C22×C4—22no—
1098C22×C4—22no—
1099C22×C4—22no—
1100C22×C4—22no—
1101C22×C4—41no—
1102C22×C4—41no—
1103C22×C4—41no—
1104C22×C4—111no—
1105C22×C4—114no—
1106C22×C4—111no—
1107C22×C4—111no—
1108C22×C4—111no—
1109C22×C4—111no—
1110C22×C4—111no—
1111C22×C4—111no—
1112C22×C4—111no—
1113C22×C4—111no—
1114C22×C4—111no—
1115C22×C4—111no—
1116C22×C4—111no—
1117C22×C4—111no—
1118C22×C4—111no—
1119C22×C4—111no—
1120C22×C4—111no—
1121C22×C4—222no—
1122C22×C4—222no—
1123C22×C4—222no—
1124C22×C4—222no—
1125C22×C4—222no—
1126C22×C4—222no—
1127C22×C4—222no—
1128C22×C4—222no—
1129C22×C4—222no—
1130C22×C4—222no—
1131C22×C4—222no—
1132C22×C4—222no—
1133C22×C4—222no—
1134C22×C4—222no—
1135C22×C4—222no—
1136C22×C4—222no—
1137C22×C4—222no—
1138C22×C4—441no—
1139C22×C4—441no—
1140C22×C4—441no—
1141C22×C4C23×D1111yescharacteristic
1142C22×C4C23×D1111yescharacteristic
1143C22×C4C23×D1111yescharacteristic
1144C22×C4C23×D1111yescharacteristic
1145C22×C4C23×D1111yescharacteristic
1146C22×C4C23×D1111yescharacteristic
1147C22×C4C23×D1111yescharacteristic
1148C22×C4C23×D1111yescharacteristic
1149C22×C4C23×D1111yescharacteristic
1150C22×C4C23×D1111yescharacteristic
1151C22×C4C23×D1111yescharacteristic
1152C22×C4C23×D1111yescharacteristic
1153C4⋊C4—22no—
1154C4⋊C4—22no—
1155C4⋊C4—22no—
1156C4⋊C4—22no—
1157C4⋊C4—22no—
1158C4⋊C4—22no—
1159C4⋊C4—41no—
1160C4⋊C4—114no—
1161C4⋊C4—222no—
1162C4⋊C4—222no—
1163C4⋊C4—222no—
1164C4⋊C4—222no—
1165C4⋊C4—222no—
1166C4⋊C4—222no—
1167C4⋊C4—222no—
1168C4⋊C4—222no—
1169C4⋊C4—222no—
1170C4⋊C4—222no—
1171C4⋊C4—222no—
1172C4⋊C4—222no—
1173C4⋊C4—222no—
1174C4⋊C4—222no—
1175C4⋊C4—222no—
1176C4⋊C4—222no—
1177C4⋊C4—222no—
1178C4⋊C4—222no—
1179C4⋊C4—222no—
1180C4⋊C4—222no—
1181C4⋊C4—222no—
1182C4⋊C4—222no—
1183C4⋊C4—441no—
1184C4⋊C4—441no—
1185C4⋊C4—441no—
1186C4⋊C4—441no—
1187C4⋊C4—441no—
1188C4⋊C4#434114yes—
1189C22⋊C4—22no—
1190C22⋊C4—22no—
1191C22⋊C4—22no—
1192C22⋊C4—22no—
1193C22⋊C4—22no—
1194C22⋊C4—22no—
1195C22⋊C4—22no—
1196C22⋊C4—22no—
1197C22⋊C4—22no—
1198C22⋊C4—22no—
1199C22⋊C4—41no—
1200C22⋊C4—114no—
1201C22⋊C4—222no—
1202C22⋊C4—222no—
1203C22⋊C4—222no—
1204C22⋊C4—222no—
1205C22⋊C4—222no—
1206C22⋊C4—222no—
1207C22⋊C4—222no—
1208C22⋊C4—222no—
1209C22⋊C4—222no—
1210C22⋊C4—222no—
1211C22⋊C4—222no—
1212C22⋊C4—222no—
1213C22⋊C4—222no—
1214C22⋊C4—441no—
1215C22⋊C4—441no—
1216C22⋊C4—441no—
1217C42—22no—
1218C42—222no—
1219C42—222no—
1220C42—222no—
1221C42—222no—
1222C42—222no—
1223C42—222no—
1224C42—222no—
1225C42—222no—
1226C42—222no—
1227C42—222no—
1228C42—222no—
1229C42—222no—
1230C42—222no—
1231C42—222no—
1232C42—222no—
1233C42—222no—
1234C42—222no—
1235C42—441no—
1236C42—441no—
1237C42—441no—
1238C42—441no—
1239C42—441no—
1240C42—441no—
1241C11#3496011yescharacteristic, complemented, Sylow
1242C23—21no—
1243C23—21no—
1244C23—21no—
1245C23—21no—
1246C23—21no—
1247C23—21no—
1248C23—21no—
1249C23—21no—
1250C23—21no—
1251C23—21no—
1252C23—21no—
1253C23—21no—
1254C23—21no—
1255C23—21no—
1256C23—21no—
1257C23—21no—
1258C23—21no—
1259C23C2×#434112yes—
1260C23C2×#434112yes—
1261C23#41×D1112yes—
1262C23#41×D1112yes—
1263C23C24×D1111yescharacteristic
1264Q8—444no—
1265D4—28no—
1266D4—44no—
1267D4—44no—
1268C2×C4—28no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—44no—
1301C2×C4—44no—
1302C2×C4—44no—
1303C2×C4—112no—
1304C2×C4—112no—
1305C2×C4—112no—
1306C2×C4—112no—
1307C2×C4—112no—
1308C2×C4—112no—
1309C2×C4—112no—
1310C2×C4—112no—
1311C2×C4—228no—
1312C2×C4—221no—
1313C2×C4—221no—
1314C2×C4—221no—
1315C2×C4—221no—
1316C2×C4—221no—
1317C2×C4—221no—
1318C2×C4—221no—
1319C2×C4—221no—
1320C2×C4—221no—
1321C2×C4—221no—
1322C2×C4—221no—
1323C2×C4—221no—
1324C2×C4—221no—
1325C2×C4—221no—
1326C2×C4—221no—
1327C2×C4—221no—
1328C2×C4—221no—
1329C2×C4—221no—
1330C2×C4—221no—
1331C2×C4—221no—
1332C2×C4—221no—
1333C2×C4—221no—
1334C2×C4—221no—
1335C2×C4—221no—
1336C2×C4—221no—
1337C2×C4—221no—
1338C2×C4—221no—
1339C2×C4—221no—
1340C2×C4—221no—
1341C2×C4—221no—
1342C2×C4—221no—
1343C2×C4—221no—
1344C2×C4—221no—
1345C2×C4—221no—
1346C2×C4—221no—
1347C2×C4—221no—
1348C2×C4—221no—
1349C2×C4—221no—
1350C2×C4—221no—
1351C2×C4—221no—
1352C2×C4—444no—
1353C2×C4—444no—
1354C2×C4—444no—
1355C2×C4—444no—
1356C2×C4—444no—
1357C2×C4—444no—
1358C2×C4C2×#434112yes—
1359C2×C4C2×#434112yes—
1360C2×C4C2×#434112yes—
1361C2×C4C2×#434112yes—
1362C2×C4#41×D1112yes—
1363C22—22no—
1364C22—22no—
1365C22—22no—
1366C22—22no—
1367C22—22no—
1368C22—22no—
1369C22—22no—
1370C22—22no—
1371C22—22no—
1372C22—41no—
1373C22—41no—
1374C22—41no—
1375C22—41no—
1376C22—41no—
1377C22—41no—
1378C22—41no—
1379C22—41no—
1380C22—41no—
1381C22—41no—
1382C22—41no—
1383C22#1062318014yes—
1384C22C22×#434111yescharacteristic
1385C22C22×#434111yescharacteristic
1386C22C2×#41×D1111yescharacteristic
1387C22C2×#41×D1111yescharacteristic
1388C22C2×#41×D1111yescharacteristic
1389C22D11×H(5,𝔽2)11yescharacteristic
1390C22D11×2−1+411yescharacteristic
1391C4—22no—
1392C4—22no—
1393C4—22no—
1394C4—22no—
1395C4—22no—
1396C4—41no—
1397C4—41no—
1398C4—41no—
1399C4—41no—
1400C4—41no—
1401C4—41no—
1402C4—41no—
1403C4—114no—
1404C4—222no—
1405C4—222no—
1406C4—222no—
1407C4—222no—
1408C4—222no—
1409C4—441no—
1410C4—441no—
1411C4—441no—
1412C4—441no—
1413C4—441no—
1414C4—441no—
1415C4—441no—
1416C4—441no—
1417C4—441no—
1418C4—441no—
1419C2—24no—
1420C2—42no—
1421C2—81no—
1422C2C2×#1062318011yescharacteristic
1423C2#1308190811yescharacteristic
1424C2D11×#53911yescharacteristic
1425C2#1308221711yescharacteristic
1426C2#1308222311yescharacteristic
1427C2#1308222811yescharacteristic
1428C2#1308223211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2443C2
prime radicalC2×C11×#121C22
hypercenter#2443D11
hypocenterC11#34960
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2443

Complements

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

NH ≅ G/Ntype
1. #13074153C2semidirect
2. #13074126C2semidirect
3. #13074075C2semidirect
4. #13074048C2semidirect
5. #13073936C2semidirect
6. #13073909C2semidirect
7. #13073753C2semidirect
8. #13073726C2semidirect
9. #13072999C2semidirect
10. #13072944C2semidirect
11. #13072876C2semidirect
12. #13072751C2semidirect
13. #13072431C2semidirect
15. #13072087C2semidirect
16. #13071920C2semidirect
17. #13071913C2semidirect
18. #13071885C2semidirect
19. #13071872C2semidirect
20. #13071173C2semidirect
21. #13071170C2semidirect
22. #13071148C2semidirect
23. #13071148C2semidirect
24. #13071141C2semidirect
25. #13071141C2semidirect
26. #123×Dic11C2semidirect
28. #13071056C2semidirect
29. C4×D4×Dic11C2semidirect
30. C2×C4⋊C4×Dic11C2semidirect
1241. C11#34960semidirect

Maximal subgroups

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

subgroupindex
#130741532
#130741262
#130740752
#130740482
#130739362
#130739092
#130737532
#130737262
#130729992
#130729442
#130728762
#130727512
#130724312
#130721732
#130720872
#130719202
#130719132
#130718852
#130718722
#130711732
#130711702
#130711482
#130711412
#123×Dic112
#121×Dic112
#130710562
C4×D4×Dic112
C2×C4⋊C4×Dic112
C11×#24432
#3496011