Finite Group Databasebeta

← #14968069

Subgroups — #14968069

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#13076980C211yesmaximal, characteristic, complemented
3#13076549C211yesmaximal, characteristic, complemented
4#13076521C211yesmaximal, characteristic, complemented
5#13076448C211yesmaximal, characteristic, complemented
6#13075807C211yesmaximal, characteristic, complemented
7#13075698C211yesmaximal, characteristic, complemented
8#13075656C211yesmaximal, characteristic, complemented
9#13075561C211yesmaximal, characteristic, complemented
10#13075553C211yesmaximal, characteristic, complemented
11#13075464C211yesmaximal, characteristic, complemented
12#13075366C211yesmaximal, characteristic, complemented
13#13075294C211yesmaximal, characteristic, complemented
14#13075134C211yesmaximal, characteristic, complemented
15#13075006C211yesmaximal, characteristic, complemented
16#13075005C211yesmaximal, characteristic, complemented
17#13074936C211yesmaximal, characteristic
18#13074616C211yesmaximal, characteristic, complemented
19#13074611C211yesmaximal, characteristic, complemented
20#13074235C211yesmaximal, characteristic, complemented
21#13074126C211yesmaximal, characteristic, complemented
22#13073723C211yesmaximal, characteristic, complemented
23#13073507C211yesmaximal, characteristic, complemented
24#13072845C211yesmaximal, characteristic, complemented
25#13072803C211yesmaximal, characteristic, complemented
26#13072327C211yesmaximal, characteristic, complemented
27#13071994C211yesmaximal, characteristic, complemented
28#13071413C211yesmaximal, characteristic, complemented
29#13071210C211yesmaximal, characteristic, complemented
30#13071074C211yesmaximal, characteristic, complemented
31C11×#2800C211yesmaximal, characteristic, complemented
32C2×#66992C2211yescharacteristic
33C2×#66990C2211yescharacteristic
34C2×#66951C2211yescharacteristic
35C2×#66947C2211yescharacteristic
36C2×#66946C2211yescharacteristic
37C2×#66945C2211yescharacteristic
38C2×#66945C2211yescharacteristic, complemented
39C2×#66943C2211yescharacteristic, complemented
40C2×#66943C2211yescharacteristic, complemented
41C2×#66939C2211yescharacteristic
42C2×#66936C2211yescharacteristic
43C2×#66935C2211yescharacteristic
44C2×C22⋊C4×D11C2211yescharacteristic
45C2×#66932C2211yescharacteristic
46C2×#66932C2211yescharacteristic, complemented
47C11×#397C2211yescharacteristic
48C11×#397C2211yescharacteristic, complemented
49C11×#396C2211yescharacteristic
50C11×#396C2211yescharacteristic, complemented
51C11×#394C2211yescharacteristic
52C11×#394C2211yescharacteristic
53C11×#390C2211yescharacteristic
54C11×#389C2211yescharacteristic, complemented
55C11×#389C2211yescharacteristic, complemented
56C11×#388C2211yescharacteristic
57C11×#388C2211yescharacteristic
58C11×#388C2211yescharacteristic, complemented
59C11×#388C2211yescharacteristic, complemented
60C11×#387C2211yescharacteristic, complemented
61C11×#387C2211yescharacteristic, complemented
62#10622834C2211yescharacteristic
63#10622834C2211yescharacteristic
64#10622607C2211yescharacteristic
65#10622607C2211yescharacteristic
66#10622607C2211yescharacteristic
67#10622607C2211yescharacteristic
68#10622607C2211yescharacteristic
69#10622607C2211yescharacteristic, complemented
70#10622605C2211yescharacteristic, complemented
71#10622604C2211yescharacteristic
72#10622604C2211yescharacteristic
73#10622603C2211yescharacteristic
74#10622603C2211yescharacteristic
75#10622603C2211yescharacteristic
76#10622603C2211yescharacteristic
77#10622603C2211yescharacteristic, complemented
78#10622601C2211yescharacteristic
79#10622600C2211yescharacteristic
80#10622600C2211yescharacteristic
81#10622598C2211yescharacteristic, complemented
82#10622598C2211yescharacteristic, complemented
83#10622598C2211yescharacteristic, complemented
84#10622598C2211yescharacteristic, complemented
85#10622597C2211yescharacteristic, complemented
86#10622594C2211yescharacteristic, complemented
87#10622591C2211yescharacteristic, complemented
88C4⋊C4×Dic11C2211yescharacteristic, complemented
89#10622586C2211yescharacteristic, complemented
90#10622585C2211yescharacteristic, complemented
91#10622585C2211yescharacteristic, complemented
92#10622585C2211yescharacteristic, complemented
93#10622574C2211yescharacteristic
94#10622574C2211yescharacteristic
95#10622574C2211yescharacteristic
96#10622574C2211yescharacteristic
97#10622574C2211yescharacteristic
98#10622574C2211yescharacteristic
99#10622574C2211yescharacteristic
100#10622573C2211yescharacteristic
101#10622573C2211yescharacteristic
102#10622572C2211yescharacteristic
103#10622572C2211yescharacteristic, complemented
104#10622572C2211yescharacteristic, complemented
105#10622571C2211yescharacteristic
106#10622570C2211yescharacteristic
107#10622570C2211yescharacteristic
108#10622570C2211yescharacteristic, complemented
109#10622569C2211yescharacteristic
110#10622569C2211yescharacteristic
111#10622569C2211yescharacteristic, complemented
112#10622568C2211yescharacteristic
113#10622568C2211yescharacteristic
114#10622568C2211yescharacteristic
115#10622568C2211yescharacteristic
116#10622566C2211yescharacteristic
117#10622564C2211yescharacteristic
118#10622564C2211yescharacteristic
119#10622564C2211yescharacteristic
120#10622564C2211yescharacteristic
121#10622564C2211yescharacteristic
122#10622564C2211yescharacteristic, complemented
123#10622563C2211yescharacteristic, complemented
124#10622563C2211yescharacteristic, complemented
125#10622563C2211yescharacteristic, complemented
126#10622561C2211yescharacteristic
127#10622561C2211yescharacteristic
128#10622561C2211yescharacteristic
129#10622558C2211yescharacteristic
130#10622558C2211yescharacteristic
131#10622558C2211yescharacteristic, complemented
132#10622557C2211yescharacteristic
133#10622557C2211yescharacteristic, complemented
134C22⋊C4×Dic11C2211yescharacteristic, complemented
135#10622553C2211yescharacteristic
136#10622553C2211yescharacteristic
137#10622553C2211yescharacteristic
138#10622553C2211yescharacteristic, complemented
139#10622552C2211yescharacteristic
140#10622552C2211yescharacteristic
141C4×(C2×D11)⋊C4C2211yescharacteristic
142#10622548C2211yescharacteristic, complemented
143C4×C4⋊Dic11C2211yescharacteristic, complemented
144#10622546C2211yescharacteristic, complemented
145C42×Dic11C2211yescharacteristic, complemented
146#10622541C2211yescharacteristic, complemented
147#10622290C2211yescharacteristic
148#10622290C2211yescharacteristic
149#10622290C2211yescharacteristic
150#10622290C2211yescharacteristic, complemented
151#10622288C2211yescharacteristic
152#10622288C2211yescharacteristic
153#10622287C2211yescharacteristic, complemented
154#10622285C2211yescharacteristic
155#10622285C2211yescharacteristic
156#10622283C2211yescharacteristic
157#10622283C2211yescharacteristic
158#10622283C2211yescharacteristic
159#10622283C2211yescharacteristic
160#10622283C2211yescharacteristic
161#10622283C2211yescharacteristic, complemented
162#10622283C2211yescharacteristic, complemented
163#10622283C2211yescharacteristic, complemented
164#10622282C2211yescharacteristic
165#10622282C2211yescharacteristic
166#10622282C2211yescharacteristic
167#10622281C2211yescharacteristic
168#10622281C2211yescharacteristic, complemented
169#10622280C2211yescharacteristic
170#10622279C2211yescharacteristic
171#10622279C2211yescharacteristic, complemented
172#10622278C2211yescharacteristic
173#10622277C2211yescharacteristic
174C11⋊#401C2211yescharacteristic, complemented
175#10622274C2211yescharacteristic, complemented
176#10622274C2211yescharacteristic, complemented
177#10622273C2211yescharacteristic, complemented
178#10622273C2211yescharacteristic, complemented
179#10622272C2211yescharacteristic, complemented
180#10622271C2211yescharacteristic, complemented
181#10622268C2211yescharacteristic, complemented
182#10622268C2211yescharacteristic, complemented
183#10622267C2211yescharacteristic, complemented
184#10622266C2211yescharacteristic, complemented
185#10622266C2211yescharacteristic, complemented
186#10622265C2211yescharacteristic, complemented
187C24×D11C2311yescharacteristic
188C22×D4×C11C2311yescharacteristic
189C22×C22⋊D11C2311yescharacteristic
190C22×C22⋊D11C2311yescharacteristic
191C22×C22⋊D11C2311yescharacteristic
192C22×C22⋊D11C2311yescharacteristic
193C23×Dic11C2311yescharacteristic
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×C4⋊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×C11×C22⋊C4C2311yescharacteristic
219C2×C11×C22⋊C4C2311yescharacteristic
220C2×C42×C11C2311yescharacteristic
221C2×C42×C11C2311yescharacteristic
222C2×C42×C11C2311yescharacteristic
223C2×C22⋊Dic11C2311yescharacteristic
224C2×C22⋊Dic11C2311yescharacteristic
225C2×C22⋊Dic11C2311yescharacteristic
226C2×C22⋊Dic11C2311yescharacteristic
227C2×C22⋊Dic11C2311yescharacteristic
228C2×C22⋊Dic11C2311yescharacteristic
229C2×C22⋊Dic11C2311yescharacteristic
230C2×C22⋊Dic11C2311yescharacteristic
231C2×C22⋊Dic11C2311yescharacteristic
232C2×C22⋊Dic11C2311yescharacteristic
233#66992—42no—
234#66990—42no—
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
266C2×(C2×D11)⋊C4C2311yescharacteristic
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×C4⋊Dic11C2311yescharacteristic
277C2×C4⋊Dic11C2311yescharacteristic
278C2×C4⋊Dic11C2311yescharacteristic
279C2×C4⋊Dic11C2311yescharacteristic
280C2×C4⋊Dic11C2311yescharacteristic
281C2×C4⋊Dic11C2311yescharacteristic
282C2×C4⋊Dic11C2311yescharacteristic
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×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
305C2×C4×Dic11C2311yescharacteristic
306#66951—42no—
307#66947—42no—
308#66946—24no—
309#66945—42no—
310#66945—42no—
311#66943—42no—
312#66943—42no—
313#66939—42no—
314#66936—24no—
315#66935—42no—
316C22⋊C4×D11—24no—
317#66932—42no—
318#66932—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—22no—
371C2×D4×C11—41no—
372C2×D4×C11—41no—
373C22×C4×C11C2411yescharacteristic
374C22×C4×C11C2411yescharacteristic
375C22×C4×C11C2411yescharacteristic
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
386C2×C22⋊D11—22no—
387C2×C22⋊D11—41no—
388C2×C22⋊D11—41no—
389C2×C22⋊D11—41no—
390C2×C22⋊D11—41no—
391C2×C22⋊D11—41no—
392C2×C22⋊D11—41no—
393C2×C22⋊D11—41no—
394C2×C22⋊D11—41no—
395C2×C22⋊D11—41no—
396C2×C22⋊D11—41no—
397C2×C22⋊D11—41no—
398C22×Dic11—41no—
399C22×Dic11—41no—
400C22×Dic11—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—22no—
416C2×D44—41no—
417C2×D44—41no—
418C2×D44—41no—
419C2×D44—41no—
420C2×C4×D11—22no—
421C2×C4×D11—22no—
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—22no—
431C11×C4⋊C4—22no—
432C11×C4⋊C4—22no—
433C11×C4⋊C4—41no—
434C11×C4⋊C4—41no—
435C11×C4⋊C4—41no—
436C11×C4⋊C4—41no—
437C11×C4⋊C4—41no—
438C11×C22⋊C4—22no—
439C11×C22⋊C4—22no—
440C11×C22⋊C4—22no—
441C11×C22⋊C4—22no—
442C11×C22⋊C4—41no—
443C11×C22⋊C4—41no—
444C11×C22⋊C4—41no—
445C11×C22⋊C4—41no—
446C11×C22⋊C4—41no—
447C11×C22⋊C4—41no—
448C11×C22⋊C4—41no—
449C11×C22⋊C4—41no—
450C42×C11—41no—
451C42×C11—41no—
452C42×C11—41no—
453C22⋊Dic11—22no—
454C22⋊Dic11—22no—
455C22⋊Dic11—41no—
456C22⋊Dic11—41no—
457C22⋊Dic11—41no—
458C22⋊Dic11—41no—
459C22⋊Dic11—41no—
460C22⋊Dic11—41no—
461C22⋊Dic11—41no—
462C22⋊Dic11—41no—
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—22no—
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—
493(C2×D11)⋊C4—41no—
494(C2×D11)⋊C4—41no—
495C4⋊Dic11—22no—
496C4⋊Dic11—22no—
497C4⋊Dic11—22no—
498C4⋊Dic11—41no—
499C4⋊Dic11—41no—
500C4⋊Dic11—41no—
501C4⋊Dic11—41no—
502C4⋊Dic11—41no—
503C4⋊Dic11—41no—
504C4⋊Dic11—41no—
505C4⋊Dic11—41no—
506C4⋊Dic11—41no—
507C4⋊Dic11—41no—
508C4⋊Dic11—41no—
509C4⋊Dic11—41no—
510C4⋊Dic11—41no—
511Dic11⋊C4—22no—
512Dic11⋊C4—22no—
513Dic11⋊C4—22no—
514Dic11⋊C4—22no—
515Dic11⋊C4—41no—
516Dic11⋊C4—41no—
517Dic11⋊C4—41no—
518Dic11⋊C4—41no—
519Dic11⋊C4—41no—
520Dic11⋊C4—41no—
521Dic11⋊C4—41no—
522Dic11⋊C4—41no—
523C4×Dic11—22no—
524C4×Dic11—22no—
525C4×Dic11—22no—
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#2800D1111yescharacteristic, complemented
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#2649—111no—
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×C11C2×#4112yes—
646C2×C4×C11H(5,𝔽2)12yes—
647C2×C4×C11H(5,𝔽2)12yes—
648C22⋊D11—82no—
649C22⋊D11—82no—
650C22⋊D11—82no—
651C22⋊D11—82no—
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—21no—
688C2×Dic11—21no—
689C2×Dic11—21no—
690C2×Dic11—82no—
691C2×Dic11C2×#4112yes—
692D44—44no—
693D44—82no—
694C4×D11—44no—
695C4×D11—44no—
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#400—111no—
716#400—111no—
717#399—111no—
718#399—111no—
719#399—111no—
720#399—111no—
721#399—111no—
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#396C2×D1111yescharacteristic
741#396C2×D1111yescharacteristic, complemented
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#390C2×D1111yescharacteristic
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#389C2×D1111yescharacteristic, complemented
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#388C2×D1111yescharacteristic
812#388C2×D1111yescharacteristic
813#388C2×D1111yescharacteristic, complemented
814#388C2×D1111yescharacteristic, complemented
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#387C2×D1111yescharacteristic, complemented
825#387C2×D1111yescharacteristic, complemented
826#386—111no—
827#386—111no—
828#386—111no—
829#386—111no—
830#386—111no—
831#385—111no—
832#385—111no—
833#385—111no—
834#385—111no—
835#385—111no—
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⋊C4—111no—
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—22no—
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—
908Dic11—22no—
909Dic11—41no—
910Dic11—41no—
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×C4—111no—
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⋊C4C22×D1111yescharacteristic
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—224no—
1027C2×C22⋊C4C22×D1111yescharacteristic
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×C42C22×D1111yescharacteristic
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#95—111no—
1080#95—111no—
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—22no—
1116C2×D4—41no—
1117C2×D4—41no—
1118C2×D4—222no—
1119C2×D4—222no—
1120C2×D4—222no—
1121C2×D4—441no—
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—111no—
1137C22×C4—114no—
1138C22×C4—111no—
1139C22×C4—111no—
1140C22×C4—111no—
1141C22×C4—111no—
1142C22×C4—111no—
1143C22×C4—111no—
1144C22×C4—111no—
1145C22×C4—111no—
1146C22×C4—111no—
1147C22×C4—111no—
1148C22×C4—111no—
1149C22×C4—111no—
1150C22×C4—222no—
1151C22×C4—222no—
1152C22×C4—441no—
1153C22×C4—441no—
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—22no—
1176C4⋊C4—22no—
1177C4⋊C4—22no—
1178C4⋊C4—41no—
1179C4⋊C4—41no—
1180C4⋊C4—41no—
1181C4⋊C4—41no—
1182C4⋊C4—41no—
1183C4⋊C4—222no—
1184C4⋊C4—222no—
1185C4⋊C4—222no—
1186C4⋊C4—222no—
1187C4⋊C4—222no—
1188C4⋊C4—222no—
1189C4⋊C4—222no—
1190C4⋊C4—441no—
1191C4⋊C4—441no—
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—22no—
1213C22⋊C4—22no—
1214C22⋊C4—22no—
1215C22⋊C4—41no—
1216C22⋊C4—41no—
1217C22⋊C4—41no—
1218C22⋊C4—41no—
1219C22⋊C4—41no—
1220C22⋊C4—41no—
1221C22⋊C4—41no—
1222C22⋊C4—41no—
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—441no—
1235C22⋊C4—441no—
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—41no—
1268C42—222no—
1269C42—222no—
1270C42—222no—
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—112no—
1367C2×C4—221no—
1368C2×C4—221no—
1369C2×C4—221no—
1370C2×C4—221no—
1371C2×C4—221no—
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—444no—
1406C2×C4—444no—
1407C2×C4—882no—
1408C2×C4—882no—
1409C2×C4#41×D1112yes—
1410C2×C4#6704212yes—
1411C2×C4#6704212yes—
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
1449C22C2×#6704211yescharacteristic
1450C22C2×#6704211yescharacteristic
1451C22#1062345511yescharacteristic
1452C22#1062345511yescharacteristic
1453C22#1062345511yescharacteristic
1454C22#1062345711yescharacteristic
1455C4—22no—
1456C4—22no—
1457C4—22no—
1458C4—41no—
1459C4—41no—
1460C4—41no—
1461C4—41no—
1462C4—41no—
1463C4—41no—
1464C4—41no—
1465C4—41no—
1466C4—41no—
1467C4—41no—
1468C4—222no—
1469C4—441no—
1470C4—441no—
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#1308200311yescharacteristic
1487C2#1308234711yescharacteristic
1488C2#1308244511yescharacteristic
1489C2#1308299111yescharacteristic
1490C2#1308317011yescharacteristic
1491C2#1308320611yescharacteristic
1492C2#1308328111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2800C2
prime radical#13074936C2
hypercenter#2800D11
hypocenterC11#36990
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2800

Complements

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

NH ≅ G/Ntype
1. #13077009C2semidirect
2. #13076980C2semidirect
3. #13076549C2semidirect
4. #13076521C2semidirect
5. #13076448C2semidirect
6. #13075807C2semidirect
7. #13075698C2semidirect
8. #13075656C2semidirect
9. #13075561C2semidirect
10. #13075553C2semidirect
11. #13075464C2semidirect
12. #13075366C2semidirect
13. #13075294C2semidirect
14. #13075134C2semidirect
15. #13075006C2semidirect
16. #13075005C2semidirect
18. #13074616C2semidirect
19. #13074611C2semidirect
20. #13074235C2semidirect
21. #13074126C2semidirect
22. #13073723C2semidirect
23. #13073507C2semidirect
24. #13072845C2semidirect
25. #13072803C2semidirect
26. #13072327C2semidirect
27. #13071994C2semidirect
28. #13071413C2semidirect
29. #13071210C2semidirect
30. #13071074C2semidirect
31. C11×#2800C2semidirect
38. C2×#66945C22semidirect
39. C2×#66943C22semidirect
40. C2×#66943C22semidirect
46. C2×#66932C22semidirect
48. C11×#397C22semidirect
50. C11×#396C22semidirect
54. C11×#389C22semidirect
55. C11×#389C22semidirect
58. C11×#388C22semidirect
59. C11×#388C22semidirect
60. C11×#387C22semidirect
61. C11×#387C22semidirect
69. #10622607C22semidirect
70. #10622605C22semidirect
77. #10622603C22semidirect
81. #10622598C22semidirect
82. #10622598C22semidirect
83. #10622598C22semidirect
84. #10622598C22semidirect
85. #10622597C22semidirect
86. #10622594C22semidirect
87. #10622591C22semidirect
88. C4⋊C4×Dic11C22semidirect
89. #10622586C22semidirect
90. #10622585C22semidirect
91. #10622585C22semidirect
92. #10622585C22semidirect
103. #10622572C22semidirect
104. #10622572C22semidirect
108. #10622570C22semidirect
111. #10622569C22semidirect
122. #10622564C22semidirect
123. #10622563C22semidirect
124. #10622563C22semidirect
125. #10622563C22semidirect
131. #10622558C22semidirect
133. #10622557C22semidirect
134. C22⋊C4×Dic11C22semidirect
138. #10622553C22semidirect
142. #10622548C22semidirect
143. C4×C4⋊Dic11C22semidirect
144. #10622546C22semidirect
145. C42×Dic11C22semidirect
146. #10622541C22semidirect
150. #10622290C22semidirect
153. #10622287C22semidirect
161. #10622283C22semidirect
162. #10622283C22semidirect
163. #10622283C22semidirect
168. #10622281C22semidirect
171. #10622279C22semidirect
174. C11⋊#401C22semidirect
175. #10622274C22semidirect
176. #10622274C22semidirect
177. #10622273C22semidirect
178. #10622273C22semidirect
179. #10622272C22semidirect
180. #10622271C22semidirect
181. #10622268C22semidirect
182. #10622268C22semidirect
183. #10622267C22semidirect
184. #10622266C22semidirect
185. #10622266C22semidirect
186. #10622265C22semidirect
538. #2800D11semidirect
730. #397C2×D11semidirect
741. #396C2×D11semidirect
778. #389C2×D11semidirect
779. #389C2×D11semidirect
813. #388C2×D11semidirect
814. #388C2×D11semidirect
824. #387C2×D11semidirect
825. #387C2×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
#130769802
#130765492
#130765212
#130764482
#130758072
#130756982
#130756562
#130755612
#130755532
#130754642
#130753662
#130752942
#130751342
#130750062
#130750052
#130749362
#130746162
#130746112
#130742352
#130741262
#130737232
#130735072
#130728452
#130728032
#130723272
#130719942
#130714132
#130712102
#130710742
C11×#28002
#3699011