Finite Group Databasebeta

← #14968064

Subgroups — #14968064

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#13076984C211yesmaximal, characteristic, complemented
3#13076543C211yesmaximal, characteristic, complemented
4#13076521C211yesmaximal, characteristic, complemented
5#13076516C211yesmaximal, characteristic, complemented
6#13076445C211yesmaximal, characteristic, complemented
7#13075806C211yesmaximal, characteristic, complemented
8#13075707C211yesmaximal, characteristic, complemented
9#13075659C211yesmaximal, characteristic, complemented
10#13075553C211yesmaximal, characteristic, complemented
11#13075552C211yesmaximal, characteristic, complemented
12#13075461C211yesmaximal, characteristic, complemented
13#13075369C211yesmaximal, characteristic, complemented
14#13075288C211yesmaximal, characteristic, complemented
15#13075143C211yesmaximal, characteristic, complemented
16#13075000C211yesmaximal, characteristic, complemented
17#13075000C211yesmaximal, characteristic, complemented
18#13074946C211yesmaximal, characteristic
19#13074625C211yesmaximal, characteristic, complemented
20#13074610C211yesmaximal, characteristic, complemented
21#13074222C211yesmaximal, characteristic, complemented
22#13074129C211yesmaximal, characteristic, complemented
23#13073737C211yesmaximal, characteristic, complemented
24#13073508C211yesmaximal, characteristic, complemented
25#13072854C211yesmaximal, characteristic, complemented
26#13072809C211yesmaximal, characteristic, complemented
27#13071995C211yesmaximal, characteristic, complemented
28#13071402C211yesmaximal, characteristic, complemented
29#13071211C211yesmaximal, characteristic, complemented
30#13071075C211yesmaximal, characteristic, complemented
31C11×#2441C211yesmaximal, characteristic, complemented
32C2×C11×#125C2211yescharacteristic, complemented
33C2×C11×#117C2211yescharacteristic
34C2×#66982C2211yescharacteristic
35C2×C4×C22⋊D11C2211yescharacteristic
36C22×(C2×D11)⋊C4C2211yescharacteristic
37C2×#66951C2211yescharacteristic
38C2×#66951C2211yescharacteristic
39C2×#66951C2211yescharacteristic, complemented
40C2×#66948C2211yescharacteristic
41C2×#66947C2211yescharacteristic
42C2×#66943C2211yescharacteristic, complemented
43C2×#66939C2211yescharacteristic
44C2×#66935C2211yescharacteristic
45C2×#66935C2211yescharacteristic
46C2×#66925C2211yescharacteristic, complemented
47C11×#399C2211yescharacteristic
48C11×#399C2211yescharacteristic
49C11×#396C2211yescharacteristic
50C11×#396C2211yescharacteristic
51C11×#389C2211yescharacteristic, complemented
52C11×#389C2211yescharacteristic, complemented
53C11×#389C2211yescharacteristic, complemented
54C11×#389C2211yescharacteristic, complemented
55C11×#387C2211yescharacteristic, complemented
56C11×#387C2211yescharacteristic, complemented
57C11×#384C2211yescharacteristic, complemented
58C11×#380C2211yescharacteristic
59C4×C11×C22⋊C4C2211yescharacteristic
60C4×C22⋊Dic11C2211yescharacteristic
61#10622607C2211yescharacteristic
62#10622607C2211yescharacteristic
63#10622607C2211yescharacteristic
64#10622607C2211yescharacteristic
65#10622607C2211yescharacteristic
66#10622607C2211yescharacteristic
67#10622607C2211yescharacteristic
68#10622607C2211yescharacteristic, complemented
69#10622607C2211yescharacteristic, complemented
70#10622606C2211yescharacteristic
71#10622606C2211yescharacteristic
72#10622606C2211yescharacteristic, complemented
73#10622605C2211yescharacteristic
74#10622605C2211yescharacteristic, complemented
75#10622605C2211yescharacteristic, complemented
76#10622604C2211yescharacteristic
77#10622604C2211yescharacteristic
78#10622604C2211yescharacteristic
79#10622604C2211yescharacteristic
80#10622604C2211yescharacteristic
81#10622604C2211yescharacteristic
82#10622604C2211yescharacteristic
83#10622604C2211yescharacteristic
84#10622604C2211yescharacteristic
85#10622604C2211yescharacteristic
86#10622604C2211yescharacteristic, complemented
87#10622603C2211yescharacteristic
88#10622603C2211yescharacteristic
89#10622603C2211yescharacteristic
90#10622603C2211yescharacteristic
91#10622603C2211yescharacteristic
92#10622603C2211yescharacteristic, complemented
93#10622603C2211yescharacteristic, complemented
94#10622603C2211yescharacteristic, complemented
95#10622603C2211yescharacteristic, complemented
96#10622603C2211yescharacteristic, complemented
97#10622602C2211yescharacteristic, complemented
98#10622602C2211yescharacteristic, complemented
99#10622602C2211yescharacteristic, complemented
100#10622601C2211yescharacteristic
101#10622601C2211yescharacteristic
102#10622601C2211yescharacteristic
103#10622599C2211yescharacteristic, complemented
104#10622599C2211yescharacteristic, complemented
105#10622598C2211yescharacteristic, complemented
106#10622597C2211yescharacteristic, complemented
107#10622597C2211yescharacteristic, complemented
108#10622597C2211yescharacteristic, complemented
109#10622595C2211yescharacteristic, complemented
110#10622594C2211yescharacteristic, complemented
111#10622591C2211yescharacteristic, complemented
112#10622591C2211yescharacteristic, complemented
113#10622591C2211yescharacteristic, complemented
114#10622586C2211yescharacteristic, complemented
115#10622586C2211yescharacteristic, complemented
116#10622585C2211yescharacteristic, complemented
117#10622585C2211yescharacteristic, complemented
118#10622585C2211yescharacteristic, complemented
119#10622574C2211yescharacteristic
120#10622574C2211yescharacteristic
121#10622573C2211yescharacteristic
122#10622571C2211yescharacteristic
123#10622570C2211yescharacteristic
124#10622570C2211yescharacteristic
125#10622570C2211yescharacteristic
126#10622569C2211yescharacteristic
127#10622568C2211yescharacteristic
128#10622568C2211yescharacteristic
129#10622568C2211yescharacteristic
130#10622568C2211yescharacteristic
131#10622566C2211yescharacteristic
132#10622563C2211yescharacteristic
133#10622558C2211yescharacteristic
134#10622558C2211yescharacteristic
135#10622558C2211yescharacteristic
136#10622557C2211yescharacteristic
137#10622556C2211yescharacteristic
138#10622555C2211yescharacteristic
139#10622555C2211yescharacteristic
140#10622553C2211yescharacteristic
141#10622553C2211yescharacteristic
142#10622553C2211yescharacteristic
143#10622553C2211yescharacteristic
144#10622553C2211yescharacteristic
145#10622553C2211yescharacteristic
146#10622553C2211yescharacteristic, complemented
147#10622553C2211yescharacteristic, complemented
148#10622552C2211yescharacteristic
149#10622552C2211yescharacteristic
150#10622552C2211yescharacteristic, complemented
151C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
152C4×Dic11⋊C4C2211yescharacteristic, complemented
153C42×Dic11C2211yescharacteristic, complemented
154#10622541C2211yescharacteristic, complemented
155#10622288C2211yescharacteristic
156#10622288C2211yescharacteristic, complemented
157#10622285C2211yescharacteristic
158#10622285C2211yescharacteristic
159#10622285C2211yescharacteristic, complemented
160#10622284C2211yescharacteristic
161#10622283C2211yescharacteristic
162#10622283C2211yescharacteristic
163#10622283C2211yescharacteristic
164#10622283C2211yescharacteristic, complemented
165#10622283C2211yescharacteristic, complemented
166#10622282C2211yescharacteristic
167#10622282C2211yescharacteristic
168#10622282C2211yescharacteristic
169#10622282C2211yescharacteristic
170#10622282C2211yescharacteristic
171#10622282C2211yescharacteristic
172#10622282C2211yescharacteristic
173#10622282C2211yescharacteristic, complemented
174#10622281C2211yescharacteristic, complemented
175#10622279C2211yescharacteristic, complemented
176#10622278C2211yescharacteristic
177#10622278C2211yescharacteristic
178#10622278C2211yescharacteristic, complemented
179C11⋊#401C2211yescharacteristic, complemented
180#10622273C2211yescharacteristic, complemented
181#10622268C2211yescharacteristic, complemented
182#10622268C2211yescharacteristic, complemented
183#10622267C2211yescharacteristic, complemented
184#10622266C2211yescharacteristic, complemented
185#10622265C2211yescharacteristic, complemented
186#10622262C2211yescharacteristic, complemented
187C24×D11C2311yescharacteristic
188C23×C4×C11C2311yescharacteristic
189C22×C22⋊D11C2311yescharacteristic
190C22×C22⋊D11C2311yescharacteristic
191C23×Dic11C2311yescharacteristic
192C22×D44C2311yescharacteristic
193C22×D44C2311yescharacteristic
194C22×D44C2311yescharacteristic
195C22×D44C2311yescharacteristic
196C22×D44C2311yescharacteristic
197C22×C4×D11C2311yescharacteristic
198C22×C4×D11C2311yescharacteristic
199C11×#125—42no—
200C11×#117—42no—
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×C4⋊C4C2311yescharacteristic
209C2×C11×C4⋊C4C2311yescharacteristic
210C2×C11×C4⋊C4C2311yescharacteristic
211C2×C11×C4⋊C4C2311yescharacteristic
212C2×C11×C4⋊C4C2311yescharacteristic
213C2×C11×C4⋊C4C2311yescharacteristic
214C2×C11×C4⋊C4C2311yescharacteristic
215C2×C11×C4⋊C4C2311yescharacteristic
216C2×C11×C4⋊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×C42×C11C2311yescharacteristic
224C2×C42×C11C2311yescharacteristic
225C2×C42×C11C2311yescharacteristic
226C2×C42×C11C2311yescharacteristic
227C2×C22⋊Dic11C2311yescharacteristic
228C2×C22⋊Dic11C2311yescharacteristic
229C2×C22⋊Dic11C2311yescharacteristic
230C2×C22⋊Dic11C2311yescharacteristic
231#66982—24no—
232C4×C22⋊D11—24no—
233C2×(C2×D11)⋊C4—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
266C2×(C2×D11)⋊C4C2311yescharacteristic
267C2×(C2×D11)⋊C4C2311yescharacteristic
268C2×(C2×D11)⋊C4C2311yescharacteristic
269C2×(C2×D11)⋊C4C2311yescharacteristic
270C2×(C2×D11)⋊C4C2311yescharacteristic
271C2×(C2×D11)⋊C4C2311yescharacteristic
272C2×(C2×D11)⋊C4C2311yescharacteristic
273C2×(C2×D11)⋊C4C2311yescharacteristic
274C2×(C2×D11)⋊C4C2311yescharacteristic
275C2×(C2×D11)⋊C4C2311yescharacteristic
276C2×(C2×D11)⋊C4C2311yescharacteristic
277C2×(C2×D11)⋊C4C2311yescharacteristic
278C2×C4⋊Dic11C2311yescharacteristic
279C2×C4⋊Dic11C2311yescharacteristic
280C2×C4⋊Dic11C2311yescharacteristic
281C2×C4⋊Dic11C2311yescharacteristic
282C2×C4⋊Dic11C2311yescharacteristic
283C2×C4⋊Dic11C2311yescharacteristic
284C2×C4⋊Dic11C2311yescharacteristic
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×Dic11⋊C4C2311yescharacteristic
297C2×Dic11⋊C4C2311yescharacteristic
298C2×Dic11⋊C4C2311yescharacteristic
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
308C2×C4×Dic11C2311yescharacteristic
309#66951—42no—
310#66951—42no—
311#66951—42no—
312#66948—42no—
313#66947—42no—
314#66943—42no—
315#66939—42no—
316#66935—42no—
317#66935—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
359C23×D11—22no—
360C23×D11—41no—
361C23×D11—41no—
362C23×D11—41no—
363C23×D11—41no—
364C23×D11—41no—
365C23×D11—41no—
366C23×D11C2411yescharacteristic
367C23×D11C2411yescharacteristic
368C23×D11C2411yescharacteristic
369C23×D11C2411yescharacteristic
370C22×C4×C11—41no—
371C22×C4×C11—41no—
372C22×C4×C11#4114yes—
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
386C22×C4×C11C2411yescharacteristic
387C2×C22⋊D11—22no—
388C2×C22⋊D11—22no—
389C2×C22⋊D11—22no—
390C2×C22⋊D11—41no—
391C2×C22⋊D11—41no—
392C2×C22⋊D11—41no—
393C22×Dic11—22no—
394C22×Dic11—41no—
395C22×Dic11—41no—
396C22×Dic11C2411yescharacteristic
397C22×Dic11C2411yescharacteristic
398C22×Dic11C2411yescharacteristic
399C22×Dic11C2411yescharacteristic
400C22×Dic11C2411yescharacteristic
401C22×Dic11C2411yescharacteristic
402C22×Dic11C2411yescharacteristic
403C22×Dic11C2411yescharacteristic
404C22×Dic11C2411yescharacteristic
405C22×Dic11C2411yescharacteristic
406C22×Dic11C2411yescharacteristic
407C22×Dic11C2411yescharacteristic
408C2×D44—22no—
409C2×D44—41no—
410C2×D44—41no—
411C2×D44—41no—
412C2×D44—41no—
413C2×D44—41no—
414C2×D44—41no—
415C2×D44—41no—
416C2×D44—41no—
417C2×D44—41no—
418C2×D44—41no—
419C2×D44—41no—
420C2×D44—41no—
421C2×D44—41no—
422C2×D44—41no—
423C2×C4×D11—22no—
424C2×C4×D11—41no—
425C2×C4×D11—41no—
426C2×C4×D11—41no—
427C2×C4×D11—41no—
428C2×C4×D11—41no—
429C11×C4⋊C4—22no—
430C11×C4⋊C4—22no—
431C11×C4⋊C4—22no—
432C11×C4⋊C4—41no—
433C11×C4⋊C4—41no—
434C11×C4⋊C4—41no—
435C11×C4⋊C4—41no—
436C11×C4⋊C4—41no—
437C11×C4⋊C4—41no—
438C11×C4⋊C4—41no—
439C11×C4⋊C4—41no—
440C11×C4⋊C4—41no—
441C11×C4⋊C4—41no—
442C11×C4⋊C4—41no—
443C11×C4⋊C4—41no—
444C11×C4⋊C4—41no—
445C11×C22⋊C4—22no—
446C11×C22⋊C4—41no—
447C11×C22⋊C4—41no—
448C11×C22⋊C4—41no—
449C11×C22⋊C4—41no—
450C11×C22⋊C4—41no—
451C42×C11—22no—
452C42×C11—41no—
453C42×C11—41no—
454C42×C11—41no—
455C22⋊Dic11—22no—
456C22⋊Dic11—22no—
457C22⋊Dic11—41no—
458C22⋊Dic11—41no—
459(C2×D11)⋊C4—22no—
460(C2×D11)⋊C4—22no—
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—
493(C2×D11)⋊C4—41no—
494(C2×D11)⋊C4—41no—
495(C2×D11)⋊C4—41no—
496(C2×D11)⋊C4—41no—
497(C2×D11)⋊C4—41no—
498(C2×D11)⋊C4—41no—
499(C2×D11)⋊C4—41no—
500(C2×D11)⋊C4—41no—
501(C2×D11)⋊C4—41no—
502(C2×D11)⋊C4—41no—
503C4⋊Dic11—22no—
504C4⋊Dic11—22no—
505C4⋊Dic11—22no—
506C4⋊Dic11—41no—
507C4⋊Dic11—41no—
508C4⋊Dic11—41no—
509C4⋊Dic11—41no—
510Dic11⋊C4—22no—
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—
523Dic11⋊C4—41no—
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#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#2649—111no—
553#2648—111no—
554#2602—111no—
555#2594—111no—
556#2558—111no—
557#2534—111no—
558#2479—111no—
559#2476—111no—
560#2441D1111yescharacteristic, complemented
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×C11C2×#4112yes—
572C23×C11C2511yescharacteristic
573C22×D11—21no—
574C22×D11—21no—
575C22×D11—21no—
576C22×D11—21no—
577C22×D11—21no—
578C22×D11—21no—
579C22×D11—21no—
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—21no—
601C22×D11—44no—
602C22×D11—82no—
603C22×D11—82no—
604C22×D11—82no—
605C22×D11—82no—
606C22×D11—82no—
607C22×D11—82no—
608C2×C4×C11—21no—
609C2×C4×C11—21no—
610C2×C4×C11—21no—
611C2×C4×C11—21no—
612C2×C4×C11—21no—
613C2×C4×C11—21no—
614C2×C4×C11—21no—
615C2×C4×C11—21no—
616C2×C4×C11—21no—
617C2×C4×C11—21no—
618C2×C4×C11—21no—
619C2×C4×C11—21no—
620C2×C4×C11—21no—
621C2×C4×C11—21no—
622C2×C4×C11—21no—
623C2×C4×C11—21no—
624C2×C4×C11—21no—
625C2×C4×C11—21no—
626C2×C4×C11—21no—
627C2×C4×C11—21no—
628C2×C4×C11—21no—
629C2×C4×C11—21no—
630C2×C4×C11—21no—
631C2×C4×C11—21no—
632C2×C4×C11—21no—
633C2×C4×C11—21no—
634C2×C4×C11—21no—
635C2×C4×C11—21no—
636C2×C4×C11—21no—
637C2×C4×C11—21no—
638C2×C4×C11—21no—
639C2×C4×C11—21no—
640C2×C4×C11—21no—
641C2×C4×C11—21no—
642C2×C4×C11—21no—
643C2×C4×C11—21no—
644C2×C4×C11—21no—
645C2×C4×C11—21no—
646C2×C4×C11—21no—
647C2×C4×C11—44no—
648C2×C4×C11C2×#4112yes—
649C2×C4×C11C2×#4112yes—
650C2×C4×C11H(5,𝔽2)12yes—
651C22⋊D11—44no—
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—82no—
689C2×Dic11H(5,𝔽2)12yes—
690D44—82no—
691D44—82no—
692D44—82no—
693D44—82no—
694D44—82no—
695C4×D11—44no—
696C4×D11—82no—
697C2×#126—111no—
698C2×#126—111no—
699C2×#126—111no—
700C2×#125—111no—
701C2×#125C2×D1111yescharacteristic, complemented
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×#117C2×D1111yescharacteristic
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#399C2×D1111yescharacteristic
721#399C2×D1111yescharacteristic
722#398—111no—
723#398—111no—
724#398—111no—
725#397—111no—
726#397—111no—
727#397—111no—
728#397—111no—
729#397—111no—
730#397—111no—
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
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#394—111no—
757#394—111no—
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#389C2×D1111yescharacteristic, complemented
777#389C2×D1111yescharacteristic, complemented
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#388—111no—
812#388—111no—
813#388—111no—
814#388—111no—
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#384C2×D1111yescharacteristic, complemented
837#381—111no—
838#380—111no—
839#380—111no—
840#380C2×D1111yescharacteristic
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
851C43—111no—
852C22×C11—22no—
853C22×C11—22no—
854C22×C11—22no—
855C22×C11—41no—
856C22×C11—41no—
857C22×C11—41no—
858C22×C11—41no—
859C22×C11C22×#4111yescharacteristic
860C22×C11C2×H(5,𝔽2)11yescharacteristic
861C22×C11C2×H(5,𝔽2)11yescharacteristic
862C22×C11#58511yescharacteristic
863C22×C11#58511yescharacteristic
864C22×C11#58511yescharacteristic
865C22×C11#58511yescharacteristic
866C2×D11—41no—
867C2×D11—41no—
868C2×D11—41no—
869C2×D11—41no—
870C2×D11—41no—
871C2×D11—41no—
872C2×D11—41no—
873C2×D11—41no—
874C2×D11—41no—
875C2×D11—41no—
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—
908C4×C11—41no—
909Dic11—22no—
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×D4—111no—
929C23×C4—111no—
930C23×C4—111no—
931C23×C4—111no—
932C23×C4C22×D1111yescharacteristic
933#126—442no—
934#126—442no—
935#126—442no—
936#125—42no—
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—42no—
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⋊C4C22×D1111yescharacteristic
969C2×C4⋊C4C22×D1111yescharacteristic
970C2×C4⋊C4C22×D1111yescharacteristic
971C2×C4⋊C4C22×D1111yescharacteristic
972C2×C4⋊C4C22×D1111yescharacteristic
973C2×C4⋊C4C22×D1111yescharacteristic
974C2×C4⋊C4C22×D1111yescharacteristic
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—111no—
1027C2×C22⋊C4—111no—
1028C2×C22⋊C4—111no—
1029C2×C22⋊C4—111no—
1030C2×C22⋊C4—111no—
1031C2×C22⋊C4—111no—
1032C2×C22⋊C4—224no—
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×C42C22×D1111yescharacteristic
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#95—111no—
1082#95—111no—
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—42no—
1092C2×C11#345511yescharacteristic
1093C2×C11#349411yescharacteristic
1094C2×C11#350511yescharacteristic
1095C2×C11#354611yescharacteristic
1096C2×C11#356011yescharacteristic
1097C2×C11#356211yescharacteristic
1098C2×C11#356611yescharacteristic
1099D11—81no—
1100D11—81no—
1101D11—81no—
1102D11—81no—
1103C24—111no—
1104C24—111no—
1105C24—111no—
1106C24—111no—
1107C24—222no—
1108C24—441no—
1109C24—441no—
1110C24—441no—
1111C24—441no—
1112C24—441no—
1113C24—441no—
1114C24C23×D1111yescharacteristic
1115C2×D4—222no—
1116C2×D4—222no—
1117C2×D4—222no—
1118C2×D4—222no—
1119C2×D4—441no—
1120C2×D4—441no—
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—41no—
1137C22×C4—41no—
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#434314yes—
1160C22×C4C23×D1111yescharacteristic
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—41no—
1178C4⋊C4—41no—
1179C4⋊C4—41no—
1180C4⋊C4—41no—
1181C4⋊C4—41no—
1182C4⋊C4—41no—
1183C4⋊C4—41no—
1184C4⋊C4—41no—
1185C4⋊C4—41no—
1186C4⋊C4—41no—
1187C4⋊C4—41no—
1188C4⋊C4—41no—
1189C4⋊C4—41no—
1190C4⋊C4—222no—
1191C4⋊C4—222no—
1192C4⋊C4—222no—
1193C4⋊C4—222no—
1194C4⋊C4—222no—
1195C4⋊C4—222no—
1196C4⋊C4—222no—
1197C4⋊C4—222no—
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—222no—
1218C22⋊C4—222no—
1219C22⋊C4—222no—
1220C22⋊C4—222no—
1221C22⋊C4—222no—
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—441no—
1232C22⋊C4—441no—
1233C22⋊C4—441no—
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—22no—
1266C42—41no—
1267C42—41no—
1268C42—41no—
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—221no—
1287C23—221no—
1288C23—221no—
1289C23—221no—
1290C23—221no—
1291C23—221no—
1292C23—221no—
1293C23—221no—
1294C23—221no—
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—444no—
1315C23—882no—
1316C23—882no—
1317C23—882no—
1318C23—882no—
1319C23—882no—
1320C23—882no—
1321C23C2×#434312yes—
1322C23C24×D1111yescharacteristic
1323D4—444no—
1324D4—882no—
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—21no—
1369C2×C4—44no—
1370C2×C4—112no—
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—221no—
1406C2×C4—444no—
1407C2×C4—882no—
1408C2×C4—882no—
1409C2×C4#6703712yes—
1410C2×C4C2×#434312yes—
1411C2×C4C2×#434312yes—
1412C22—22no—
1413C22—22no—
1414C22—22no—
1415C22—41no—
1416C22—41no—
1417C22—41no—
1418C22—41no—
1419C22—441no—
1420C22—441no—
1421C22—441no—
1422C22—441no—
1423C22—441no—
1424C22—441no—
1425C22—441no—
1426C22—441no—
1427C22—441no—
1428C22—441no—
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×#6703711yescharacteristic
1449C22C22×#434311yescharacteristic
1450C22#1062345311yescharacteristic
1451C22#1062345311yescharacteristic
1452C22#1062345311yescharacteristic
1453C22D11×H(5,𝔽2)11yescharacteristic
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—41no—
1469C4—222no—
1470C4—441no—
1471C4—441no—
1472C4—441no—
1473C4—441no—
1474C4—441no—
1475C4—441no—
1476C4—441no—
1477C4—441no—
1478C4—441no—
1479C4—441no—
1480C4—441no—
1481C2—42no—
1482C2—881no—
1483C2—881no—
1484C2—881no—
1485C2—881no—
1486C2#1308200811yescharacteristic
1487C2#1308235411yescharacteristic
1488C2#1308245711yescharacteristic
1489C2#1308297511yescharacteristic
1490C2#1308316411yescharacteristic
1491C2#1308318911yescharacteristic
1492C2#1308329411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2441C2
prime radical#13074946C2
hypercenter#2441D11
hypocenterC11#36990
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2441

Complements

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

NH ≅ G/Ntype
1. #13077009C2semidirect
2. #13076984C2semidirect
3. #13076543C2semidirect
4. #13076521C2semidirect
5. #13076516C2semidirect
6. #13076445C2semidirect
7. #13075806C2semidirect
8. #13075707C2semidirect
9. #13075659C2semidirect
10. #13075553C2semidirect
11. #13075552C2semidirect
12. #13075461C2semidirect
13. #13075369C2semidirect
14. #13075288C2semidirect
15. #13075143C2semidirect
16. #13075000C2semidirect
17. #13075000C2semidirect
19. #13074625C2semidirect
20. #13074610C2semidirect
21. #13074222C2semidirect
22. #13074129C2semidirect
23. #13073737C2semidirect
24. #13073508C2semidirect
25. #13072854C2semidirect
26. #13072809C2semidirect
27. #13071995C2semidirect
28. #13071402C2semidirect
29. #13071211C2semidirect
30. #13071075C2semidirect
31. C11×#2441C2semidirect
32. C2×C11×#125C22semidirect
39. C2×#66951C22semidirect
42. C2×#66943C22semidirect
46. C2×#66925C22semidirect
51. C11×#389C22semidirect
52. C11×#389C22semidirect
53. C11×#389C22semidirect
54. C11×#389C22semidirect
55. C11×#387C22semidirect
56. C11×#387C22semidirect
57. C11×#384C22semidirect
68. #10622607C22semidirect
69. #10622607C22semidirect
72. #10622606C22semidirect
74. #10622605C22semidirect
75. #10622605C22semidirect
86. #10622604C22semidirect
92. #10622603C22semidirect
93. #10622603C22semidirect
94. #10622603C22semidirect
95. #10622603C22semidirect
96. #10622603C22semidirect
97. #10622602C22semidirect
98. #10622602C22semidirect
99. #10622602C22semidirect
103. #10622599C22semidirect
104. #10622599C22semidirect
105. #10622598C22semidirect
106. #10622597C22semidirect
107. #10622597C22semidirect
108. #10622597C22semidirect
109. #10622595C22semidirect
110. #10622594C22semidirect
111. #10622591C22semidirect
112. #10622591C22semidirect
113. #10622591C22semidirect
114. #10622586C22semidirect
115. #10622586C22semidirect
116. #10622585C22semidirect
117. #10622585C22semidirect
118. #10622585C22semidirect
146. #10622553C22semidirect
147. #10622553C22semidirect
150. #10622552C22semidirect
151. C4×(C2×D11)⋊C4C22semidirect
152. C4×Dic11⋊C4C22semidirect
153. C42×Dic11C22semidirect
154. #10622541C22semidirect
156. #10622288C22semidirect
159. #10622285C22semidirect
164. #10622283C22semidirect
165. #10622283C22semidirect
173. #10622282C22semidirect
174. #10622281C22semidirect
175. #10622279C22semidirect
178. #10622278C22semidirect
179. C11⋊#401C22semidirect
180. #10622273C22semidirect
181. #10622268C22semidirect
182. #10622268C22semidirect
183. #10622267C22semidirect
184. #10622266C22semidirect
185. #10622265C22semidirect
186. #10622262C22semidirect
560. #2441D11semidirect
701. C2×#125C2×D11semidirect
776. #389C2×D11semidirect
777. #389C2×D11semidirect
778. #389C2×D11semidirect
779. #389C2×D11semidirect
824. #387C2×D11semidirect
825. #387C2×D11semidirect
836. #384C2×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
#130769842
#130765432
#130765212
#130765162
#130764452
#130758062
#130757072
#130756592
#130755532
#130755522
#130754612
#130753692
#130752882
#130751432
#130750002
#130749462
#130746252
#130746102
#130742222
#130741292
#130737372
#130735082
#130728542
#130728092
#130719952
#130714022
#130712112
#130710752
C11×#24412
#3699011