Finite Group Databasebeta

← #14968054

Subgroups — #14968054

Order 2816.

1706 conjugacy classes of subgroups.

The subgroup lattice has 1494 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13077009C211yesmaximal, characteristic, complemented
2#13076982C211yesmaximal, characteristic, complemented
3#13076554C211yesmaximal, characteristic, complemented
4#13076524C211yesmaximal, characteristic, complemented
5#13076517C211yesmaximal, characteristic, complemented
6#13076449C211yesmaximal, characteristic, complemented
7#13075805C211yesmaximal, characteristic, complemented
8#13075708C211yesmaximal, characteristic, complemented
9#13075656C211yesmaximal, characteristic, complemented
10#13075558C211yesmaximal, characteristic, complemented
11#13075549C211yesmaximal, characteristic, complemented
12#13075465C211yesmaximal, characteristic, complemented
13#13075380C211yesmaximal, characteristic, complemented
14#13075291C211yesmaximal, characteristic, complemented
15#13075141C211yesmaximal, characteristic, complemented
16#13075014C211yesmaximal, characteristic, complemented
17#13075013C211yesmaximal, characteristic, complemented
18#13074948C211yesmaximal, characteristic
19#13074598C211yesmaximal, characteristic, complemented
20#13074232C211yesmaximal, characteristic, complemented
21#13074127C211yesmaximal, characteristic, complemented
22#13073737C211yesmaximal, characteristic, complemented
23#13073504C211yesmaximal, characteristic, complemented
24#13072844C211yesmaximal, characteristic, complemented
25#13072801C211yesmaximal, characteristic, complemented
26#13072326C211yesmaximal, characteristic, complemented
27#13072000C211yesmaximal, characteristic, complemented
28#13071412C211yesmaximal, characteristic, complemented
29#13071210C211yesmaximal, characteristic, complemented
30#13071079C211yesmaximal, characteristic, complemented
31C11×#2649C211yesmaximal, characteristic, complemented
32C2×#66991C2211yescharacteristic
33C2×#66990C2211yescharacteristic
34C2×C4×C22⋊D11C2211yescharacteristic
35C2×#66979C2211yescharacteristic, complemented
36C2×#66951C2211yescharacteristic
37C2×#66951C2211yescharacteristic, complemented
38C2×#66947C2211yescharacteristic
39C2×#66947C2211yescharacteristic
40C2×#66943C2211yescharacteristic, complemented
41C2×#66942C2211yescharacteristic, complemented
42C2×#66936C2211yescharacteristic
43C2×#66935C2211yescharacteristic
44C2×C22⋊C4×D11C2211yescharacteristic
45C2×#66932C2211yescharacteristic
46C2×#66925C2211yescharacteristic
47C11×#400C2211yescharacteristic, complemented
48C11×#400C2211yescharacteristic, complemented
49C11×#399C2211yescharacteristic, complemented
50C11×#397C2211yescharacteristic
51C11×#397C2211yescharacteristic, complemented
52C11×#396C2211yescharacteristic
53C11×#394C2211yescharacteristic
54C11×#394C2211yescharacteristic
55C11×#389C2211yescharacteristic, complemented
56C11×#388C2211yescharacteristic
57C11×#388C2211yescharacteristic
58C11×#387C2211yescharacteristic, complemented
59C11×#386C2211yescharacteristic
60C11×#385C2211yescharacteristic, complemented
61C4×C11×C22⋊C4C2211yescharacteristic, complemented
62#10622835C2211yescharacteristic
63#10622835C2211yescharacteristic
64#10622826C2211yescharacteristic
65#10622826C2211yescharacteristic, complemented
66#10622607C2211yescharacteristic
67#10622607C2211yescharacteristic
68#10622607C2211yescharacteristic
69#10622607C2211yescharacteristic, complemented
70#10622605C2211yescharacteristic
71#10622605C2211yescharacteristic
72#10622604C2211yescharacteristic
73#10622604C2211yescharacteristic
74#10622603C2211yescharacteristic
75#10622603C2211yescharacteristic
76#10622603C2211yescharacteristic
77#10622603C2211yescharacteristic
78#10622602C2211yescharacteristic, complemented
79#10622601C2211yescharacteristic
80#10622600C2211yescharacteristic
81#10622599C2211yescharacteristic, complemented
82#10622596C2211yescharacteristic, complemented
83#10622594C2211yescharacteristic, complemented
84#10622591C2211yescharacteristic, complemented
85#10622589C2211yescharacteristic, complemented
86C4⋊C4×Dic11C2211yescharacteristic, complemented
87#10622586C2211yescharacteristic, complemented
88#10622585C2211yescharacteristic, complemented
89#10622585C2211yescharacteristic, complemented
90#10622585C2211yescharacteristic, complemented
91#10622585C2211yescharacteristic, complemented
92#10622574C2211yescharacteristic
93#10622574C2211yescharacteristic
94#10622574C2211yescharacteristic, complemented
95#10622573C2211yescharacteristic
96#10622573C2211yescharacteristic
97#10622572C2211yescharacteristic
98#10622572C2211yescharacteristic
99#10622572C2211yescharacteristic
100#10622572C2211yescharacteristic
101#10622572C2211yescharacteristic, complemented
102#10622570C2211yescharacteristic
103#10622570C2211yescharacteristic
104#10622570C2211yescharacteristic
105#10622570C2211yescharacteristic
106#10622570C2211yescharacteristic
107#10622570C2211yescharacteristic
108#10622570C2211yescharacteristic, complemented
109#10622568C2211yescharacteristic
110#10622568C2211yescharacteristic
111#10622568C2211yescharacteristic
112#10622568C2211yescharacteristic
113#10622565C2211yescharacteristic
114#10622564C2211yescharacteristic
115#10622564C2211yescharacteristic
116#10622564C2211yescharacteristic
117#10622564C2211yescharacteristic, complemented
118#10622562C2211yescharacteristic, complemented
119#10622561C2211yescharacteristic
120#10622561C2211yescharacteristic
121#10622561C2211yescharacteristic
122#10622561C2211yescharacteristic, complemented
123#10622558C2211yescharacteristic
124#10622557C2211yescharacteristic
125#10622557C2211yescharacteristic
126#10622557C2211yescharacteristic
127#10622557C2211yescharacteristic
128#10622557C2211yescharacteristic, complemented
129#10622557C2211yescharacteristic, complemented
130#10622557C2211yescharacteristic, complemented
131#10622557C2211yescharacteristic, complemented
132#10622553C2211yescharacteristic
133#10622553C2211yescharacteristic, complemented
134#10622552C2211yescharacteristic
135C4×(C2×D11)⋊C4C2211yescharacteristic
136#10622546C2211yescharacteristic, complemented
137C4×Dic11⋊C4C2211yescharacteristic, complemented
138C42×Dic11C2211yescharacteristic, complemented
139#10622290C2211yescharacteristic
140#10622289C2211yescharacteristic
141#10622289C2211yescharacteristic
142#10622288C2211yescharacteristic
143#10622288C2211yescharacteristic
144#10622288C2211yescharacteristic, complemented
145#10622285C2211yescharacteristic
146#10622285C2211yescharacteristic
147#10622283C2211yescharacteristic
148#10622283C2211yescharacteristic
149#10622283C2211yescharacteristic
150#10622283C2211yescharacteristic
151#10622283C2211yescharacteristic
152#10622283C2211yescharacteristic
153#10622283C2211yescharacteristic, complemented
154#10622282C2211yescharacteristic
155#10622282C2211yescharacteristic
156#10622282C2211yescharacteristic
157#10622282C2211yescharacteristic
158#10622282C2211yescharacteristic, complemented
159#10622282C2211yescharacteristic, complemented
160#10622282C2211yescharacteristic, complemented
161#10622281C2211yescharacteristic
162#10622281C2211yescharacteristic, complemented
163#10622281C2211yescharacteristic, complemented
164#10622280C2211yescharacteristic
165#10622280C2211yescharacteristic
166#10622279C2211yescharacteristic
167#10622279C2211yescharacteristic, complemented
168#10622278C2211yescharacteristic
169#10622278C2211yescharacteristic
170#10622277C2211yescharacteristic
171C11⋊#401C2211yescharacteristic, complemented
172#10622274C2211yescharacteristic, complemented
173#10622273C2211yescharacteristic, complemented
174#10622270C2211yescharacteristic, complemented
175#10622268C2211yescharacteristic, complemented
176#10622267C2211yescharacteristic, complemented
177#10622267C2211yescharacteristic, complemented
178#10622266C2211yescharacteristic, complemented
179#10622266C2211yescharacteristic, complemented
180#10622265C2211yescharacteristic, complemented
181#10622265C2211yescharacteristic, complemented
182#10622260C2211yescharacteristic, complemented
183#10622260C2211yescharacteristic, complemented
184#10622260C2211yescharacteristic, complemented
185#10622260C2211yescharacteristic, complemented
186#10622260C2211yescharacteristic, complemented
187C24×D11C2311yescharacteristic
188C22×D4×C11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C22×C22⋊D11C2311yescharacteristic
191C22×C22⋊D11C2311yescharacteristic
192C22×C22⋊D11C2311yescharacteristic
193C22×C22⋊D11C2311yescharacteristic
194C22×D44C2311yescharacteristic
195C22×D44C2311yescharacteristic
196C22×C4×D11C2311yescharacteristic
197C22×C4×D11C2311yescharacteristic
198C22×C4×D11C2311yescharacteristic
199C2×C11×C4⋊C4C2311yescharacteristic
200C2×C11×C4⋊C4C2311yescharacteristic
201C2×C11×C4⋊C4C2311yescharacteristic
202C2×C11×C4⋊C4C2311yescharacteristic
203C2×C11×C4⋊C4C2311yescharacteristic
204C2×C11×C4⋊C4C2311yescharacteristic
205C2×C11×C4⋊C4C2311yescharacteristic
206C2×C11×C4⋊C4C2311yescharacteristic
207C2×C11×C22⋊C4C2311yescharacteristic
208C2×C11×C22⋊C4C2311yescharacteristic
209C2×C11×C22⋊C4C2311yescharacteristic
210C2×C11×C22⋊C4C2311yescharacteristic
211C2×C11×C22⋊C4C2311yescharacteristic
212C2×C11×C22⋊C4C2311yescharacteristic
213C2×C11×C22⋊C4C2311yescharacteristic
214C2×C11×C22⋊C4C2311yescharacteristic
215C2×C11×C22⋊C4C2311yescharacteristic
216C2×C11×C22⋊C4C2311yescharacteristic
217C2×C11×C22⋊C4C2311yescharacteristic
218C2×C42×C11C2311yescharacteristic
219C2×C42×C11C2311yescharacteristic
220C2×C22⋊Dic11C2311yescharacteristic
221C2×C22⋊Dic11C2311yescharacteristic
222C2×C22⋊Dic11C2311yescharacteristic
223C2×C22⋊Dic11C2311yescharacteristic
224C2×C22⋊Dic11C2311yescharacteristic
225C2×C22⋊Dic11C2311yescharacteristic
226C2×C22⋊Dic11C2311yescharacteristic
227C2×C22⋊Dic11C2311yescharacteristic
228C2×C22⋊Dic11C2311yescharacteristic
229C2×C22⋊Dic11C2311yescharacteristic
230C2×C22⋊Dic11C2311yescharacteristic
231#66991—42no—
232#66990—42no—
233C4×C22⋊D11—24no—
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×(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
266#66979—42no—
267C2×C4⋊Dic11C2311yescharacteristic
268C2×C4⋊Dic11C2311yescharacteristic
269C2×C4⋊Dic11C2311yescharacteristic
270C2×C4⋊Dic11C2311yescharacteristic
271C2×C4⋊Dic11C2311yescharacteristic
272C2×C4⋊Dic11C2311yescharacteristic
273C2×C4⋊Dic11C2311yescharacteristic
274C2×C4⋊Dic11C2311yescharacteristic
275C2×C4⋊Dic11C2311yescharacteristic
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×Dic11⋊C4C2311yescharacteristic
287C2×Dic11⋊C4C2311yescharacteristic
288C2×Dic11⋊C4C2311yescharacteristic
289C2×Dic11⋊C4C2311yescharacteristic
290C2×Dic11⋊C4C2311yescharacteristic
291C2×Dic11⋊C4C2311yescharacteristic
292C2×Dic11⋊C4C2311yescharacteristic
293C2×Dic11⋊C4C2311yescharacteristic
294C2×Dic11⋊C4C2311yescharacteristic
295C2×Dic11⋊C4C2311yescharacteristic
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
305C2×C4×Dic11C2311yescharacteristic
306C2×C4×Dic11C2311yescharacteristic
307C2×C4×Dic11C2311yescharacteristic
308#66951—42no—
309#66951—42no—
310#66947—24no—
311#66947—42no—
312#66943—42no—
313#66942—42no—
314#66936—42no—
315#66935—42no—
316C22⋊C4×D11—24no—
317#66932—42no—
318#66925—42no—
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
357#36990—111nomaximal, Sylow
358C24×C11C2411yescharacteristic
359C24×C11C2411yescharacteristic
360C23×D11—22no—
361C23×D11—41no—
362C23×D11—41no—
363C23×D11—41no—
364C23×D11—41no—
365C23×D11—41no—
366C23×D11—41no—
367C23×D11C2411yescharacteristic
368C23×D11C2411yescharacteristic
369C23×D11C2411yescharacteristic
370C2×D4×C11—41no—
371C2×D4×C11—41no—
372C2×D4×C11—41no—
373C22×C4×C11—22no—
374C22×C4×C11—41no—
375C22×C4×C11—41no—
376C22×C4×C11C2411yescharacteristic
377C22×C4×C11C2411yescharacteristic
378C22×C4×C11C2411yescharacteristic
379C22×C4×C11C2411yescharacteristic
380C22×C4×C11C2411yescharacteristic
381C22×C4×C11C2411yescharacteristic
382C22×C4×C11C2411yescharacteristic
383C22×C4×C11C2411yescharacteristic
384C22×C4×C11C2411yescharacteristic
385C22×C4×C11C2411yescharacteristic
386C22×C4×C11C2411yescharacteristic
387C22×C4×C11C2411yescharacteristic
388C22×C4×C11C2411yescharacteristic
389C2×C22⋊D11—22no—
390C2×C22⋊D11—22no—
391C2×C22⋊D11—22no—
392C2×C22⋊D11—41no—
393C2×C22⋊D11—41no—
394C2×C22⋊D11—41no—
395C2×C22⋊D11—41no—
396C2×C22⋊D11—41no—
397C2×C22⋊D11—41no—
398C2×C22⋊D11—41no—
399C2×C22⋊D11—41no—
400C2×C22⋊D11—41no—
401C22×Dic11C2411yescharacteristic
402C22×Dic11C2411yescharacteristic
403C22×Dic11C2411yescharacteristic
404C22×Dic11C2411yescharacteristic
405C22×Dic11C2411yescharacteristic
406C22×Dic11C2411yescharacteristic
407C22×Dic11C2411yescharacteristic
408C22×Dic11C2411yescharacteristic
409C22×Dic11C2411yescharacteristic
410C22×Dic11C2411yescharacteristic
411C22×Dic11C2411yescharacteristic
412C22×Dic11C2411yescharacteristic
413C22×Dic11C2411yescharacteristic
414C2×D44—22no—
415C2×D44—41no—
416C2×D44—41no—
417C2×D44—41no—
418C2×D44—41no—
419C2×D44—41no—
420C2×C4×D11—22no—
421C2×C4×D11—41no—
422C2×C4×D11—41no—
423C2×C4×D11—41no—
424C2×C4×D11—41no—
425C2×C4×D11—41no—
426C2×C4×D11—41no—
427C2×C4×D11—41no—
428C2×C4×D11#4114yes—
429C11×C4⋊C4—22no—
430C11×C4⋊C4—41no—
431C11×C4⋊C4—41no—
432C11×C4⋊C4—41no—
433C11×C4⋊C4—41no—
434C11×C4⋊C4—41no—
435C11×C4⋊C4—41no—
436C11×C4⋊C4—41no—
437C11×C22⋊C4—22no—
438C11×C22⋊C4—41no—
439C11×C22⋊C4—41no—
440C11×C22⋊C4—41no—
441C11×C22⋊C4—41no—
442C11×C22⋊C4—41no—
443C11×C22⋊C4—41no—
444C11×C22⋊C4—41no—
445C11×C22⋊C4—41no—
446C11×C22⋊C4—41no—
447C11×C22⋊C4—41no—
448C42×C11—41no—
449C42×C11—41no—
450C22⋊Dic11—22no—
451C22⋊Dic11—22no—
452C22⋊Dic11—22no—
453C22⋊Dic11—22no—
454C22⋊Dic11—41no—
455C22⋊Dic11—41no—
456C22⋊Dic11—41no—
457C22⋊Dic11—41no—
458C22⋊Dic11—41no—
459C22⋊Dic11—41no—
460C22⋊Dic11—41no—
461(C2×D11)⋊C4—22no—
462(C2×D11)⋊C4—22no—
463(C2×D11)⋊C4—22no—
464(C2×D11)⋊C4—22no—
465(C2×D11)⋊C4—22no—
466(C2×D11)⋊C4—22no—
467(C2×D11)⋊C4—22no—
468(C2×D11)⋊C4—22no—
469(C2×D11)⋊C4—22no—
470(C2×D11)⋊C4—22no—
471(C2×D11)⋊C4—41no—
472(C2×D11)⋊C4—41no—
473(C2×D11)⋊C4—41no—
474(C2×D11)⋊C4—41no—
475(C2×D11)⋊C4—41no—
476(C2×D11)⋊C4—41no—
477(C2×D11)⋊C4—41no—
478(C2×D11)⋊C4—41no—
479(C2×D11)⋊C4—41no—
480(C2×D11)⋊C4—41no—
481(C2×D11)⋊C4—41no—
482(C2×D11)⋊C4—41no—
483(C2×D11)⋊C4—41no—
484(C2×D11)⋊C4—41no—
485(C2×D11)⋊C4—41no—
486(C2×D11)⋊C4—41no—
487(C2×D11)⋊C4—41no—
488(C2×D11)⋊C4—41no—
489(C2×D11)⋊C4—41no—
490(C2×D11)⋊C4—41no—
491(C2×D11)⋊C4—41no—
492(C2×D11)⋊C4—41no—
493C4⋊Dic11—22no—
494C4⋊Dic11—22no—
495C4⋊Dic11—22no—
496C4⋊Dic11—22no—
497C4⋊Dic11—41no—
498C4⋊Dic11—41no—
499C4⋊Dic11—41no—
500C4⋊Dic11—41no—
501C4⋊Dic11—41no—
502Dic11⋊C4—22no—
503Dic11⋊C4—22no—
504Dic11⋊C4—22no—
505Dic11⋊C4—22no—
506Dic11⋊C4—22no—
507Dic11⋊C4—22no—
508Dic11⋊C4—41no—
509Dic11⋊C4—41no—
510Dic11⋊C4—41no—
511Dic11⋊C4—41no—
512Dic11⋊C4—41no—
513Dic11⋊C4—41no—
514Dic11⋊C4—41no—
515Dic11⋊C4—41no—
516Dic11⋊C4—41no—
517Dic11⋊C4—41no—
518Dic11⋊C4—41no—
519Dic11⋊C4—41no—
520Dic11⋊C4—41no—
521Dic11⋊C4—41no—
522C4×Dic11—22no—
523C4×Dic11—22no—
524C4×Dic11—22no—
525C4×Dic11—41no—
526C4×Dic11—41no—
527C4×Dic11—41no—
528C4×Dic11—41no—
529C4×Dic11—41no—
530C4×Dic11—41no—
531C4×Dic11—41no—
532C4×Dic11—41no—
533C4×Dic11—41no—
534#2866—111no—
535#2860—111no—
536#2803—111no—
537#2801—111no—
538#2800—111no—
539#2795—111no—
540#2746—111no—
541#2739—111no—
542#2735—111no—
543#2725—111no—
544#2725—111no—
545#2718—111no—
546#2711—111no—
547#2705—111no—
548#2694—111no—
549#2685—111no—
550#2685—111no—
551#2678—111no—
552#2649D1111yescharacteristic, complemented
553#2648—111no—
554#2602—111no—
555#2594—111no—
556#2558—111no—
557#2534—111no—
558#2479—111no—
559#2476—111no—
560#2441—111no—
561#2411—111no—
562#2335—111no—
563#2312—111no—
564#2293—111no—
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×C11—21no—
577C23×C11—21no—
578C23×C11—21no—
579C23×C11C2511yescharacteristic
580C22×D11—21no—
581C22×D11—21no—
582C22×D11—21no—
583C22×D11—21no—
584C22×D11—21no—
585C22×D11—21no—
586C22×D11—21no—
587C22×D11—21no—
588C22×D11—21no—
589C22×D11—21no—
590C22×D11—21no—
591C22×D11—21no—
592C22×D11—21no—
593C22×D11—21no—
594C22×D11—21no—
595C22×D11—21no—
596C22×D11—21no—
597C22×D11—21no—
598C22×D11—21no—
599C22×D11—21no—
600C22×D11—44no—
601C22×D11—82no—
602C22×D11—82no—
603C22×D11—82no—
604C22×D11—82no—
605C22×D11—82no—
606C22×D11—82no—
607C22×D11C2×#4112yes—
608D4×C11—82no—
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×C11C2×#4112yes—
649C22⋊D11—44no—
650C22⋊D11—82no—
651C22⋊D11—82no—
652C22⋊D11—82no—
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—21no—
688C2×Dic11—21no—
689C2×Dic11C2×#4112yes—
690C2×Dic11H(5,𝔽2)12yes—
691C2×Dic11H(5,𝔽2)12yes—
692D44—82no—
693D44—82no—
694C4×D11—44no—
695C4×D11—82no—
696C4×D11—82no—
697C2×#126—111no—
698C2×#126—111no—
699C2×#126—111no—
700C2×#125—111no—
701C2×#125—111no—
702C2×#123—111no—
703C2×#123—111no—
704C2×#123—111no—
705C2×#121—111no—
706C2×#120—111no—
707C2×#120—111no—
708C2×C4×D4—111no—
709C2×#117—111no—
710C2×#117—111no—
711C22×C22⋊C4—111no—
712#401—111no—
713#400—111no—
714#400—111no—
715#400C2×D1111yescharacteristic, complemented
716#400C2×D1111yescharacteristic, complemented
717#399—111no—
718#399—111no—
719#399—111no—
720#399—111no—
721#399C2×D1111yescharacteristic, complemented
722#398—111no—
723#398—111no—
724#398—111no—
725#397—111no—
726#397—111no—
727#397—111no—
728#397—111no—
729#397C2×D1111yescharacteristic
730#397C2×D1111yescharacteristic, complemented
731#396—111no—
732#396—111no—
733#396—111no—
734#396—111no—
735#396—111no—
736#396—111no—
737#396—111no—
738#396—111no—
739#396—111no—
740#396—111no—
741#396C2×D1111yescharacteristic
742#394—111no—
743#394—111no—
744#394—111no—
745#394—111no—
746#394—111no—
747#394—111no—
748#394—111no—
749#394—111no—
750#394—111no—
751#394—111no—
752#394—111no—
753#394—111no—
754#394—111no—
755#394—111no—
756#394C2×D1111yescharacteristic
757#394C2×D1111yescharacteristic
758#392—111no—
759#392—111no—
760#390—111no—
761#390—111no—
762#390—111no—
763#390—111no—
764#390—111no—
765#390—111no—
766#390—111no—
767#390—111no—
768#390—111no—
769#389—111no—
770#389—111no—
771#389—111no—
772#389—111no—
773#389—111no—
774#389—111no—
775#389—111no—
776#389—111no—
777#389—111no—
778#389—111no—
779#389C2×D1111yescharacteristic, complemented
780#388—111no—
781#388—111no—
782#388—111no—
783#388—111no—
784#388—111no—
785#388—111no—
786#388—111no—
787#388—111no—
788#388—111no—
789#388—111no—
790#388—111no—
791#388—111no—
792#388—111no—
793#388—111no—
794#388—111no—
795#388—111no—
796#388—111no—
797#388—111no—
798#388—111no—
799#388—111no—
800#388—111no—
801#388—111no—
802#388—111no—
803#388—111no—
804#388—111no—
805#388—111no—
806#388—111no—
807#388—111no—
808#388—111no—
809#388—111no—
810#388—111no—
811#388—111no—
812#388—111no—
813#388C2×D1111yescharacteristic
814#388C2×D1111yescharacteristic
815#387—111no—
816#387—111no—
817#387—111no—
818#387—111no—
819#387—111no—
820#387—111no—
821#387—111no—
822#387—111no—
823#387—111no—
824#387—111no—
825#387C2×D1111yescharacteristic, complemented
826#386—111no—
827#386—111no—
828#386—111no—
829#386—111no—
830#386C2×D1111yescharacteristic
831#385—111no—
832#385—111no—
833#385—111no—
834#385—111no—
835#385C2×D1111yescharacteristic, complemented
836#384—111no—
837#381—111no—
838#380—111no—
839#380—111no—
840#380—111no—
841#379—111no—
842#379—111no—
843#379—111no—
844#379—111no—
845C4×C4⋊C4—111no—
846C4×C4⋊C4—111no—
847C4×C22⋊C4—111no—
848C4×C22⋊C4—111no—
849C4×C22⋊C4—111no—
850C4×C22⋊C4C2×D1111yescharacteristic, complemented
851C43—111no—
852C22×C11—41no—
853C22×C11—41no—
854C22×C11—41no—
855C22×C11—41no—
856C22×C11—41no—
857C22×C11—41no—
858C22×C11—41no—
859C22×C11—41no—
860C22×C11—41no—
861C22×C11—41no—
862C22×C11—41no—
863C22×C11—41no—
864C22×C11—41no—
865C22×C11—41no—
866C22×C11C22×#4111yescharacteristic
867C22×C11C2×H(5,𝔽2)11yescharacteristic
868C22×C11C2×H(5,𝔽2)11yescharacteristic
869C22×C11#58511yescharacteristic
870C22×C11#58511yescharacteristic
871C22×C11#58511yescharacteristic
872C22×C11#58511yescharacteristic
873C2×D11—22no—
874C2×D11—22no—
875C2×D11—22no—
876C2×D11—41no—
877C2×D11—41no—
878C2×D11—41no—
879C2×D11—41no—
880C2×D11—41no—
881C2×D11—41no—
882C2×D11—41no—
883C2×D11—41no—
884C2×D11—41no—
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—88no—
895C4×C11—22no—
896C4×C11—41no—
897C4×C11—41no—
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—
908Dic11—22no—
909Dic11—22no—
910Dic11—22no—
911Dic11—41no—
912Dic11—41no—
913Dic11—41no—
914Dic11—41no—
915Dic11—41no—
916Dic11—41no—
917Dic11—41no—
918Dic11—41no—
919Dic11—41no—
920Dic11—41no—
921C25—111no—
922C22×D4—111no—
923C22×D4—111no—
924C22×D4—111no—
925C22×D4—111no—
926C22×D4—111no—
927C22×D4—111no—
928C22×D4C22×D1111yescharacteristic
929C23×C4—111no—
930C23×C4—111no—
931C23×C4—111no—
932C23×C4C22×D1111yescharacteristic
933#126—442no—
934#126—442no—
935#126—442no—
936#125—442no—
937#125—442no—
938#123—224no—
939#123—442no—
940#123—442no—
941#121—442no—
942#120—442no—
943#120—442no—
944C4×D4—224no—
945#117—442no—
946#117—442no—
947C2×C4⋊C4—111no—
948C2×C4⋊C4—111no—
949C2×C4⋊C4—111no—
950C2×C4⋊C4—111no—
951C2×C4⋊C4—111no—
952C2×C4⋊C4—111no—
953C2×C4⋊C4—111no—
954C2×C4⋊C4—111no—
955C2×C4⋊C4—111no—
956C2×C4⋊C4—111no—
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⋊C4C22×D1111yescharacteristic
977C2×C4⋊C4C22×D1111yescharacteristic
978C2×C4⋊C4C22×D1111yescharacteristic
979C2×C4⋊C4C22×D1111yescharacteristic
980C2×C4⋊C4C22×D1111yescharacteristic
981C2×C4⋊C4C22×D1111yescharacteristic
982C2×C4⋊C4C22×D1111yescharacteristic
983C2×C4⋊C4C22×D1111yescharacteristic
984C2×C22⋊C4—111no—
985C2×C22⋊C4—111no—
986C2×C22⋊C4—111no—
987C2×C22⋊C4—111no—
988C2×C22⋊C4—111no—
989C2×C22⋊C4—111no—
990C2×C22⋊C4—111no—
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—111no—
1024C2×C22⋊C4—111no—
1025C2×C22⋊C4—111no—
1026C2×C22⋊C4—111no—
1027C2×C22⋊C4—224no—
1028C2×C22⋊C4C22×D1111yescharacteristic
1029C2×C22⋊C4C22×D1111yescharacteristic
1030C2×C22⋊C4C22×D1111yescharacteristic
1031C2×C22⋊C4C22×D1111yescharacteristic
1032C2×C22⋊C4C22×D1111yescharacteristic
1033C2×C22⋊C4C22×D1111yescharacteristic
1034C2×C22⋊C4C22×D1111yescharacteristic
1035C2×C22⋊C4C22×D1111yescharacteristic
1036C2×C22⋊C4C22×D1111yescharacteristic
1037C2×C22⋊C4C22×D1111yescharacteristic
1038C2×C22⋊C4C22×D1111yescharacteristic
1039C2×C42—111no—
1040C2×C42—111no—
1041C2×C42—111no—
1042C2×C42—111no—
1043C2×C42—111no—
1044C2×C42—111no—
1045C2×C42—111no—
1046C2×C42—111no—
1047C2×C42—111no—
1048C2×C42—111no—
1049C2×C42—111no—
1050C2×C42—111no—
1051C2×C42C22×D1111yescharacteristic
1052C2×C42C22×D1111yescharacteristic
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#95C22×D1111yescharacteristic
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
1091C2×C11—81no—
1092C2×C11—81no—
1093C2×C11#345511yescharacteristic
1094C2×C11#349411yescharacteristic
1095C2×C11#350511yescharacteristic
1096C2×C11#354611yescharacteristic
1097C2×C11#356011yescharacteristic
1098C2×C11#356211yescharacteristic
1099C2×C11#356611yescharacteristic
1100D11—42no—
1101D11—81no—
1102D11—81no—
1103C24—111no—
1104C24—111no—
1105C24—111no—
1106C24—222no—
1107C24—441no—
1108C24—441no—
1109C24—441no—
1110C24—441no—
1111C24—441no—
1112C24—441no—
1113C24C23×D1111yescharacteristic
1114C24C23×D1111yescharacteristic
1115C2×D4—41no—
1116C2×D4—41no—
1117C2×D4—41no—
1118C2×D4—222no—
1119C2×D4—222no—
1120C2×D4—222no—
1121C2×D4—222no—
1122C2×D4—441no—
1123C2×D4—441no—
1124C2×D4—441no—
1125C2×D4—441no—
1126C2×D4—441no—
1127C2×D4—441no—
1128C2×D4—441no—
1129C2×D4—441no—
1130C2×D4—441no—
1131C2×D4—441no—
1132C2×D4—441no—
1133C2×D4—441no—
1134C2×D4—441no—
1135C2×D4—441no—
1136C22×C4—22no—
1137C22×C4—41no—
1138C22×C4—41no—
1139C22×C4—111no—
1140C22×C4—111no—
1141C22×C4—111no—
1142C22×C4—114no—
1143C22×C4—111no—
1144C22×C4—111no—
1145C22×C4—111no—
1146C22×C4—111no—
1147C22×C4—111no—
1148C22×C4—111no—
1149C22×C4—111no—
1150C22×C4—111no—
1151C22×C4—111no—
1152C22×C4—111no—
1153C22×C4—222no—
1154C22×C4—441no—
1155C22×C4—441no—
1156C22×C4—441no—
1157C22×C4—441no—
1158C22×C4—441no—
1159C22×C4—441no—
1160C22×C4—441no—
1161C22×C4C23×D1111yescharacteristic
1162C22×C4C23×D1111yescharacteristic
1163C22×C4C23×D1111yescharacteristic
1164C22×C4C23×D1111yescharacteristic
1165C22×C4C23×D1111yescharacteristic
1166C22×C4C23×D1111yescharacteristic
1167C22×C4C23×D1111yescharacteristic
1168C22×C4C23×D1111yescharacteristic
1169C22×C4C23×D1111yescharacteristic
1170C22×C4C23×D1111yescharacteristic
1171C22×C4C23×D1111yescharacteristic
1172C22×C4C23×D1111yescharacteristic
1173C22×C4C23×D1111yescharacteristic
1174C4⋊C4—22no—
1175C4⋊C4—41no—
1176C4⋊C4—41no—
1177C4⋊C4—41no—
1178C4⋊C4—41no—
1179C4⋊C4—41no—
1180C4⋊C4—41no—
1181C4⋊C4—41no—
1182C4⋊C4—222no—
1183C4⋊C4—222no—
1184C4⋊C4—222no—
1185C4⋊C4—222no—
1186C4⋊C4—222no—
1187C4⋊C4—222no—
1188C4⋊C4—222no—
1189C4⋊C4—222no—
1190C4⋊C4—222no—
1191C4⋊C4—222no—
1192C4⋊C4—441no—
1193C4⋊C4—441no—
1194C4⋊C4—441no—
1195C4⋊C4—441no—
1196C4⋊C4—441no—
1197C4⋊C4—441no—
1198C4⋊C4—441no—
1199C4⋊C4—441no—
1200C4⋊C4—441no—
1201C4⋊C4—441no—
1202C4⋊C4—441no—
1203C4⋊C4—441no—
1204C4⋊C4—441no—
1205C4⋊C4—441no—
1206C4⋊C4—441no—
1207C4⋊C4—441no—
1208C4⋊C4—441no—
1209C4⋊C4—441no—
1210C4⋊C4—441no—
1211C22⋊C4—22no—
1212C22⋊C4—41no—
1213C22⋊C4—41no—
1214C22⋊C4—41no—
1215C22⋊C4—41no—
1216C22⋊C4—41no—
1217C22⋊C4—41no—
1218C22⋊C4—41no—
1219C22⋊C4—41no—
1220C22⋊C4—41no—
1221C22⋊C4—41no—
1222C22⋊C4—222no—
1223C22⋊C4—222no—
1224C22⋊C4—222no—
1225C22⋊C4—222no—
1226C22⋊C4—222no—
1227C22⋊C4—222no—
1228C22⋊C4—222no—
1229C22⋊C4—222no—
1230C22⋊C4—222no—
1231C22⋊C4—222no—
1232C22⋊C4—222no—
1233C22⋊C4—222no—
1234C22⋊C4—222no—
1235C22⋊C4—222no—
1236C22⋊C4—441no—
1237C22⋊C4—441no—
1238C22⋊C4—441no—
1239C22⋊C4—441no—
1240C22⋊C4—441no—
1241C22⋊C4—441no—
1242C22⋊C4—441no—
1243C22⋊C4—441no—
1244C22⋊C4—441no—
1245C22⋊C4—441no—
1246C22⋊C4—441no—
1247C22⋊C4—441no—
1248C22⋊C4—441no—
1249C22⋊C4—441no—
1250C22⋊C4—441no—
1251C22⋊C4—441no—
1252C22⋊C4—441no—
1253C22⋊C4—441no—
1254C22⋊C4—441no—
1255C22⋊C4—441no—
1256C22⋊C4—441no—
1257C22⋊C4—441no—
1258C22⋊C4—441no—
1259C22⋊C4—441no—
1260C22⋊C4—441no—
1261C22⋊C4—441no—
1262C22⋊C4—441no—
1263C22⋊C4—441no—
1264C22⋊C4—441no—
1265C42—41no—
1266C42—41no—
1267C42—222no—
1268C42—222no—
1269C42—222no—
1270C42—441no—
1271C42—441no—
1272C42—441no—
1273C42—441no—
1274C42—441no—
1275C42—441no—
1276C42—441no—
1277C42—441no—
1278C42—441no—
1279C11#3699011yescharacteristic, complemented, Sylow
1280C23—21no—
1281C23—21no—
1282C23—21no—
1283C23—21no—
1284C23—21no—
1285C23—21no—
1286C23—21no—
1287C23—21no—
1288C23—21no—
1289C23—21no—
1290C23—21no—
1291C23—21no—
1292C23—21no—
1293C23—21no—
1294C23—112no—
1295C23—221no—
1296C23—221no—
1297C23—221no—
1298C23—221no—
1299C23—221no—
1300C23—221no—
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—221no—
1315C23—444no—
1316C23—882no—
1317C23—882no—
1318C23—882no—
1319C23—882no—
1320C23—882no—
1321C23—882no—
1322C23C24×D1111yescharacteristic
1323D4—82no—
1324D4—444no—
1325D4—882no—
1326D4—882no—
1327D4—882no—
1328D4—882no—
1329D4—882no—
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—112no—
1370C2×C4—112no—
1371C2×C4—112no—
1372C2×C4—221no—
1373C2×C4—221no—
1374C2×C4—221no—
1375C2×C4—221no—
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—444no—
1409C2×C4—882no—
1410C2×C4—882no—
1411C2×C4#41×D1112yes—
1412C22—41no—
1413C22—41no—
1414C22—41no—
1415C22—41no—
1416C22—41no—
1417C22—41no—
1418C22—41no—
1419C22—41no—
1420C22—41no—
1421C22—41no—
1422C22—41no—
1423C22—41no—
1424C22—41no—
1425C22—41no—
1426C22—222no—
1427C22—222no—
1428C22—222no—
1429C22—441no—
1430C22—441no—
1431C22—441no—
1432C22—441no—
1433C22—441no—
1434C22—441no—
1435C22—441no—
1436C22—441no—
1437C22—441no—
1438C22—441no—
1439C22—441no—
1440C22—441no—
1441C22—441no—
1442C22—441no—
1443C22—441no—
1444C22—441no—
1445C22—441no—
1446C22—441no—
1447C22—888no—
1448C22C2×#41×D1111yescharacteristic
1449C22#1062345311yescharacteristic
1450C22#1062345311yescharacteristic
1451C22D11×H(5,𝔽2)11yescharacteristic
1452C22D11×H(5,𝔽2)11yescharacteristic
1453C22#1062345511yescharacteristic
1454C22#1062345711yescharacteristic
1455C4—22no—
1456C4—41no—
1457C4—41no—
1458C4—41no—
1459C4—41no—
1460C4—41no—
1461C4—41no—
1462C4—41no—
1463C4—41no—
1464C4—41no—
1465C4—41no—
1466C4—41no—
1467C4—41no—
1468C4—222no—
1469C4—222no—
1470C4—222no—
1471C4—441no—
1472C4—441no—
1473C4—441no—
1474C4—441no—
1475C4—441no—
1476C4—441no—
1477C4—441no—
1478C4—441no—
1479C4—441no—
1480C4—441no—
1481C2—81no—
1482C2—81no—
1483C2—442no—
1484C2—881no—
1485C2—881no—
1486C2#1308199911yescharacteristic
1487C2#1308234911yescharacteristic
1488C2#1308245411yescharacteristic
1489C2#1308298111yescharacteristic
1490C2#1308316911yescharacteristic
1491C2#1308319511yescharacteristic
1492C2#1308327211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2649C2
prime radical#13074948C2
hypercenter#2649D11
hypocenterC11#36990
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2649

Complements

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

NH ≅ G/Ntype
1. #13077009C2semidirect
2. #13076982C2semidirect
3. #13076554C2semidirect
4. #13076524C2semidirect
5. #13076517C2semidirect
6. #13076449C2semidirect
7. #13075805C2semidirect
8. #13075708C2semidirect
9. #13075656C2semidirect
10. #13075558C2semidirect
11. #13075549C2semidirect
12. #13075465C2semidirect
13. #13075380C2semidirect
14. #13075291C2semidirect
15. #13075141C2semidirect
16. #13075014C2semidirect
17. #13075013C2semidirect
19. #13074598C2semidirect
20. #13074232C2semidirect
21. #13074127C2semidirect
22. #13073737C2semidirect
23. #13073504C2semidirect
24. #13072844C2semidirect
25. #13072801C2semidirect
26. #13072326C2semidirect
27. #13072000C2semidirect
28. #13071412C2semidirect
29. #13071210C2semidirect
30. #13071079C2semidirect
31. C11×#2649C2semidirect
35. C2×#66979C22semidirect
37. C2×#66951C22semidirect
40. C2×#66943C22semidirect
41. C2×#66942C22semidirect
47. C11×#400C22semidirect
48. C11×#400C22semidirect
49. C11×#399C22semidirect
51. C11×#397C22semidirect
55. C11×#389C22semidirect
58. C11×#387C22semidirect
60. C11×#385C22semidirect
61. C4×C11×C22⋊C4C22semidirect
65. #10622826C22semidirect
69. #10622607C22semidirect
78. #10622602C22semidirect
81. #10622599C22semidirect
82. #10622596C22semidirect
83. #10622594C22semidirect
84. #10622591C22semidirect
85. #10622589C22semidirect
86. C4⋊C4×Dic11C22semidirect
87. #10622586C22semidirect
88. #10622585C22semidirect
89. #10622585C22semidirect
90. #10622585C22semidirect
91. #10622585C22semidirect
94. #10622574C22semidirect
101. #10622572C22semidirect
108. #10622570C22semidirect
117. #10622564C22semidirect
118. #10622562C22semidirect
122. #10622561C22semidirect
128. #10622557C22semidirect
129. #10622557C22semidirect
130. #10622557C22semidirect
131. #10622557C22semidirect
133. #10622553C22semidirect
136. #10622546C22semidirect
137. C4×Dic11⋊C4C22semidirect
138. C42×Dic11C22semidirect
144. #10622288C22semidirect
153. #10622283C22semidirect
158. #10622282C22semidirect
159. #10622282C22semidirect
160. #10622282C22semidirect
162. #10622281C22semidirect
163. #10622281C22semidirect
167. #10622279C22semidirect
171. C11⋊#401C22semidirect
172. #10622274C22semidirect
173. #10622273C22semidirect
174. #10622270C22semidirect
175. #10622268C22semidirect
176. #10622267C22semidirect
177. #10622267C22semidirect
178. #10622266C22semidirect
179. #10622266C22semidirect
180. #10622265C22semidirect
181. #10622265C22semidirect
182. #10622260C22semidirect
183. #10622260C22semidirect
184. #10622260C22semidirect
185. #10622260C22semidirect
186. #10622260C22semidirect
552. #2649D11semidirect
715. #400C2×D11semidirect
716. #400C2×D11semidirect
721. #399C2×D11semidirect
730. #397C2×D11semidirect
779. #389C2×D11semidirect
825. #387C2×D11semidirect
835. #385C2×D11semidirect
850. C4×C22⋊C4C2×D11semidirect
1279. C11#36990semidirect

Maximal subgroups

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

subgroupindex
#130770092
#130769822
#130765542
#130765242
#130765172
#130764492
#130758052
#130757082
#130756562
#130755582
#130755492
#130754652
#130753802
#130752912
#130751412
#130750142
#130750132
#130749482
#130745982
#130742322
#130741272
#130737372
#130735042
#130728442
#130728012
#130723262
#130720002
#130714122
#130712102
#130710792
C11×#26492
#3699011