Finite Group Databasebeta

← #14916905

Subgroups — #14916905

Order 2816.

2458 conjugacy classes of subgroups.

The subgroup lattice has 1574 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623117C211yesmaximal, characteristic
2#13071757C211yesmaximal, characteristic, complemented
3#13071755C211yesmaximal, characteristic, complemented
4#13071755C211yesmaximal, characteristic, complemented
5#13071657C211yesmaximal, characteristic, complemented
6#13071651C211yesmaximal, characteristic, complemented
7#13071646C211yesmaximal, characteristic, complemented
8#13071640C211yesmaximal, characteristic, complemented
9#13071588C211yesmaximal, characteristic, complemented
10#13071586C211yesmaximal, characteristic, complemented
11#13071554C211yesmaximal, characteristic, complemented
12#13071551C211yesmaximal, characteristic, complemented
13#13071506C211yesmaximal, characteristic, complemented
14#13071498C211yesmaximal, characteristic, complemented
15#13071455C211yesmaximal, characteristic, complemented
16#13071442C211yesmaximal, characteristic, complemented
17#13071411C211yesmaximal, characteristic, complemented
18#13071407C211yesmaximal, characteristic, complemented
19#13071403C211yesmaximal, characteristic, complemented
20#13071399C211yesmaximal, characteristic, complemented
21#13071306C211yesmaximal, characteristic, complemented
22#13071302C211yesmaximal, characteristic, complemented
23#13071295C211yesmaximal, characteristic, complemented
24#13071291C211yesmaximal, characteristic, complemented
25#13071257C211yesmaximal, characteristic, complemented
26#13071253C211yesmaximal, characteristic, complemented
27#13071246C211yesmaximal, characteristic, complemented
28#13071242C211yesmaximal, characteristic, complemented
29#13070994C211yesmaximal, characteristic, complemented
30#13070994C211yesmaximal, characteristic, complemented
31C11×#2375C211yesmaximal, characteristic, complemented
32C24×Dic11C2211yescharacteristic
33C22×#4341C2211yescharacteristic
34C2×C11×#120C2211yescharacteristic
35C2×#67006C2211yescharacteristic
36C2×#66992C2211yescharacteristic
37C2×#66992C2211yescharacteristic
38C2×#66988C2211yescharacteristic
39C2×D4×Dic11C2211yescharacteristic
40C2×D4×Dic11C2211yescharacteristic
41C2×C4×C22⋊D11C2211yescharacteristic, complemented
42#10623117C4116yescomplemented
43C2×#66940C2211yescharacteristic, complemented
44C2×#66939C2211yescharacteristic
45C2×(C22⋊D11)⋊C4C2211yescharacteristic
46C2×(C22⋊D11)⋊C4C2211yescharacteristic
47C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
48C2×#66931C2211yescharacteristic
49C2×#66931C2211yescharacteristic
50C2×#66930C2211yescharacteristic
51C2×#66930C2211yescharacteristic
52C2×#66930C2211yescharacteristic
53C2×#66930C2211yescharacteristic
54C2×#66930C2211yescharacteristic
55C2×C4×Dic22C2211yescharacteristic, complemented
56C11×#390C2211yescharacteristic
57C11×#390C2211yescharacteristic
58C11×#390C2211yescharacteristic
59C11×#388C2211yescharacteristic
60C11×#388C2211yescharacteristic
61C11×#388C2211yescharacteristic
62C11×#388C2211yescharacteristic
63C11×#388C2211yescharacteristic
64C11×#388C2211yescharacteristic
65C11×#386C2211yescharacteristic
66C11×#386C2211yescharacteristic
67C11×#386C2211yescharacteristic
68C11×#379C2211yescharacteristic
69C11×#379C2211yescharacteristic
70#10622860C2211yescharacteristic
71#10622860C2211yescharacteristic
72#10622834C2211yescharacteristic
73#10622834C2211yescharacteristic
74#10622834C2211yescharacteristic
75#10622833C2211yescharacteristic
76#10622833C2211yescharacteristic
77#10622833C2211yescharacteristic
78#10622823C2211yescharacteristic, complemented
79C4×C22⋊Dic11C2211yescharacteristic, complemented
80C2×C11⋊#95C2211yescharacteristic, complemented
81#10622603C2211yescharacteristic, complemented
82#10622602C2211yescharacteristic, complemented
83#10622600C2211yescharacteristic, complemented
84#10622591C2211yescharacteristic, complemented
85#10622590C2211yescharacteristic, complemented
86C4⋊C4×Dic11C2211yescharacteristic, complemented
87C4⋊C4×Dic11C2211yescharacteristic, complemented
88#10622586C2211yescharacteristic, complemented
89#10622585C2211yescharacteristic, complemented
90#10622585C2211yescharacteristic, complemented
91#10622585C2211yescharacteristic, complemented
92#10622570C2211yescharacteristic
93#10622570C2211yescharacteristic
94#10622570C2211yescharacteristic
95#10622570C2211yescharacteristic
96#10622570C2211yescharacteristic
97#10622570C2211yescharacteristic
98#10622570C2211yescharacteristic, complemented
99#10622570C2211yescharacteristic, complemented
100#10622569C2211yescharacteristic
101#10622569C2211yescharacteristic
102#10622569C2211yescharacteristic
103#10622569C2211yescharacteristic
104#10622569C2211yescharacteristic
105#10622569C2211yescharacteristic
106#10622564C2211yescharacteristic
107#10622564C2211yescharacteristic
108#10622564C2211yescharacteristic
109#10622564C2211yescharacteristic
110#10622564C2211yescharacteristic
111#10622564C2211yescharacteristic
112#10622559C2211yescharacteristic, complemented
113#10622558C2211yescharacteristic
114#10622558C2211yescharacteristic
115#10622558C2211yescharacteristic
116#10622558C2211yescharacteristic
117#10622558C2211yescharacteristic
118#10622558C2211yescharacteristic
119#10622558C2211yescharacteristic, complemented
120#10622558C2211yescharacteristic, complemented
121#10622557C2211yescharacteristic
122#10622557C2211yescharacteristic
123#10622557C2211yescharacteristic
124#10622557C2211yescharacteristic
125#10622557C2211yescharacteristic
126#10622557C2211yescharacteristic
127#10622557C2211yescharacteristic, complemented
128#10622557C2211yescharacteristic, complemented
129#10622556C2211yescharacteristic
130#10622556C2211yescharacteristic
131#10622556C2211yescharacteristic
132#10622556C2211yescharacteristic
133#10622556C2211yescharacteristic, complemented
134#10622555C2211yescharacteristic
135#10622555C2211yescharacteristic
136#10622555C2211yescharacteristic
137#10622555C2211yescharacteristic
138#10622555C2211yescharacteristic
139#10622555C2211yescharacteristic
140#10622555C2211yescharacteristic
141#10622555C2211yescharacteristic
142#10622555C2211yescharacteristic, complemented
143C22⋊C4×Dic11C2211yescharacteristic
144C22⋊C4×Dic11C2211yescharacteristic
145C22⋊C4×Dic11C2211yescharacteristic
146C22⋊C4×Dic11C2211yescharacteristic
147C22⋊C4×Dic11C2211yescharacteristic
148C22⋊C4×Dic11C2211yescharacteristic
149C22⋊C4×Dic11C2211yescharacteristic
150C22⋊C4×Dic11C2211yescharacteristic
151C22⋊C4×Dic11C2211yescharacteristic, complemented
152C22⋊C4×Dic11C2211yescharacteristic, complemented
153#10622553C2211yescharacteristic, complemented
154C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
155C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
156C4×C4⋊Dic11C2211yescharacteristic, complemented
157#10622546C2211yescharacteristic, complemented
158#10622545C2211yescharacteristic, complemented
159C4×Dic11⋊C4C2211yescharacteristic, complemented
160C4×Dic11⋊C4C2211yescharacteristic, complemented
161C4×Dic11⋊C4C2211yescharacteristic, complemented
162C4×Dic11⋊C4C2211yescharacteristic, complemented
163#10622541C2211yescharacteristic, complemented
164#10622283C2211yescharacteristic, complemented
165#10622282C2211yescharacteristic, complemented
166#10622281C2211yescharacteristic, complemented
167#10622279C2211yescharacteristic, complemented
168#10622277C2211yescharacteristic, complemented
169D11×#95C2211yescharacteristic, complemented
170#10622268C2211yescharacteristic, complemented
171#10622267C2211yescharacteristic, complemented
172#10622267C2211yescharacteristic, complemented
173#10622266C2211yescharacteristic, complemented
174#10622266C2211yescharacteristic, complemented
175#10622265C2211yescharacteristic, complemented
176#10622264C2211yescharacteristic, complemented
177#10622264C2211yescharacteristic, complemented
178#10622263C2211yescharacteristic, complemented
179#10622262C2211yescharacteristic, complemented
180#10622262C2211yescharacteristic, complemented
181#10622262C2211yescharacteristic, complemented
182#10622261C2211yescharacteristic, complemented
183#10622260C2211yescharacteristic, complemented
184#10622260C2211yescharacteristic, complemented
185#10622260C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187#10622259C2211yescharacteristic, complemented
188C25×C11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C22×C22⋊D11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C23×Dic11—42no—
198C23×Dic11—42no—
199C23×Dic11C2×C418yescomplemented
200C23×Dic11C2311yescharacteristic
201C23×Dic11C2311yescharacteristic
202C23×Dic11C2311yescharacteristic
203C23×Dic11C2311yescharacteristic
204C23×Dic11C2311yescharacteristic
205C23×Dic11C2311yescharacteristic
206C23×Dic11C2311yescharacteristic
207C23×Dic11C2311yescharacteristic
208C2×#4341—42no—
209C2×#4341—42no—
210C2×#4341C2×C418yes—
211C22×C4×D11C2311yescharacteristic
212C22×C4×D11C2311yescharacteristic
213C22×C4×D11C2311yescharacteristic
214C22×Dic22C2311yescharacteristic
215C11×#120C2×C418yescomplemented
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C4⋊C4C2311yescharacteristic
219C2×C11×C22⋊C4C2311yescharacteristic
220C2×C11×C22⋊C4C2311yescharacteristic
221C2×C11×C22⋊C4C2311yescharacteristic
222C2×C11×C22⋊C4C2311yescharacteristic
223C2×C11×C22⋊C4C2311yescharacteristic
224C2×C11×C22⋊C4C2311yescharacteristic
225C2×C11×C22⋊C4C2311yescharacteristic
226C2×C11×C22⋊C4C2311yescharacteristic
227C2×C11×C22⋊C4C2311yescharacteristic
228C2×C11×C22⋊C4C2311yescharacteristic
229C2×C11×C22⋊C4C2311yescharacteristic
230C2×C11×C22⋊C4C2311yescharacteristic
231C2×C11×C22⋊C4C2311yescharacteristic
232C2×C11×C22⋊C4C2311yescharacteristic
233C2×C11×C22⋊C4C2311yescharacteristic
234C2×C11×C22⋊C4C2311yescharacteristic
235C2×C11×C22⋊C4C2311yescharacteristic
236C2×C11×C22⋊C4C2311yescharacteristic
237C2×C42×C11C2311yescharacteristic
238C2×C42×C11C2311yescharacteristic
239C2×C42×C11C2311yescharacteristic
240#67006C2×C418yescomplemented
241C2×C22⋊Dic11C2311yescharacteristic
242C2×C22⋊Dic11C2311yescharacteristic
243C2×C22⋊Dic11C2311yescharacteristic
244C2×C22⋊Dic11C2311yescharacteristic
245C2×C22⋊Dic11C2311yescharacteristic
246C2×C22⋊Dic11C2311yescharacteristic
247C2×C22⋊Dic11C2311yescharacteristic
248C2×C22⋊Dic11C2311yescharacteristic
249C2×C22⋊Dic11C2311yescharacteristic
250C2×C22⋊Dic11C2311yescharacteristic
251C2×C22⋊Dic11C2311yescharacteristic
252C2×C22⋊Dic11C2311yescharacteristic
253C2×C22⋊Dic11C2311yescharacteristic
254C2×C22⋊Dic11C2311yescharacteristic
255C2×C22⋊Dic11C2311yescharacteristic
256C2×C22⋊Dic11C2311yescharacteristic
257C2×C22⋊Dic11C2311yescharacteristic
258C2×C22⋊Dic11C2311yescharacteristic
259C2×C22⋊Dic11C2311yescharacteristic
260C2×C22⋊Dic11C2311yescharacteristic
261#66992C2×C418yes—
262#66992C2×C418yes—
263#66988C2×C418yescomplemented
264D4×Dic11C2×C418yescomplemented
265D4×Dic11C2×C418yescomplemented
266C4×C22⋊D11—42no—
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×C4⋊Dic11C2311yescharacteristic
276C2×C4⋊Dic11C2311yescharacteristic
277C2×C4⋊Dic11C2311yescharacteristic
278C2×C4⋊Dic11C2311yescharacteristic
279C2×C4⋊Dic11C2311yescharacteristic
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×Dic11⋊C4C2311yescharacteristic
297C2×Dic11⋊C4C2311yescharacteristic
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
308C2×C4×Dic11C2311yescharacteristic
309C2×C4×Dic11C2311yescharacteristic
310C2×C4×Dic11C2311yescharacteristic
311C2×C4×Dic11C2311yescharacteristic
312C2×C4×Dic11C2311yescharacteristic
313C2×C4×Dic11C2311yescharacteristic
314C2×C4×Dic11C2311yescharacteristic
315C2×C4×Dic11C2311yescharacteristic
316C2×C4×Dic11C2311yescharacteristic
317#66940—42no—
318#66939C2×C418yescomplemented
319(C22⋊D11)⋊C4—42no—
320(C22⋊D11)⋊C4C2×C418yescomplemented
321(C22⋊D11)⋊C4C2×C418yescomplemented
322#66931C2×C418yescomplemented
323#66931C2×C418yescomplemented
324#66930—42no—
325#66930—42no—
326#66930—42no—
327#66930—42no—
328#66930C2×C418yescomplemented
329C4×Dic22—42no—
330C11×#95C2311yescharacteristic
331C11×#95C2311yescharacteristic
332C11×#95C2311yescharacteristic
333C11×#95C2311yescharacteristic
334C11×#95C2311yescharacteristic
335C11×#95C2311yescharacteristic
336C11⋊#95C2311yescharacteristic
337C11⋊#95C2311yescharacteristic
338C11⋊#95C2311yescharacteristic
339C11⋊#95C2311yescharacteristic
340C11⋊#95C2311yescharacteristic
341C11⋊#95C2311yescharacteristic
342C11⋊#95C2311yescharacteristic
343C11⋊#95C2311yescharacteristic
344C11⋊#95C2311yescharacteristic
345C11⋊#95C2311yescharacteristic
346C11⋊#95C2311yescharacteristic
347C11⋊#95C2311yescharacteristic
348C11⋊#95C2311yescharacteristic
349C11⋊#95C2311yescharacteristic
350C11⋊#95C2311yescharacteristic
351C11⋊#95C2311yescharacteristic
352C11⋊#95C2311yescharacteristic
353C11⋊#95C2311yescharacteristic
354C11⋊#95C2311yescharacteristic
355C11⋊#95C2311yescharacteristic
356C11⋊#95C2311yescharacteristic
357C11⋊#95C2311yescharacteristic
358C11⋊#95C2311yescharacteristic
359C11⋊#95C2311yescharacteristic
360C11⋊#95C2311yescharacteristic
361C11⋊#95C2311yescharacteristic
362C11⋊#95C2311yescharacteristic
363C11⋊#95C2311yescharacteristic
364C11⋊#95C2311yescharacteristic
365C11⋊#95C2311yescharacteristic
366C11⋊#95C2311yescharacteristic
367C11⋊#95C2311yescharacteristic
368C11⋊#95C2311yescharacteristic
369C11⋊#95C2311yescharacteristic
370#34391—111nomaximal, Sylow
371C24×C11—41no—
372C24×C11—41no—
373C24×C11—41no—
374C24×C11—41no—
375C24×C11—41no—
376C24×C11—41no—
377C24×C11C22×C414yes—
378C24×C11C2411yescharacteristic
379C24×C11C2411yescharacteristic
380C24×C11C2411yescharacteristic
381C24×C11C2411yescharacteristic
382C23×D11C2411yescharacteristic
383C2×D4×C11—41no—
384C2×D4×C11—41no—
385C2×D4×C11—41no—
386C2×D4×C11—41no—
387C2×D4×C11—41no—
388C2×D4×C11—41no—
389C2×D4×C11C22×C414yes—
390C2×D4×C11C22×C414yes—
391C2×D4×C11C22×C414yes—
392C22×C4×C11—41no—
393C22×C4×C11—41no—
394C22×C4×C11—41no—
395C22×C4×C11C2411yescharacteristic
396C22×C4×C11C2411yescharacteristic
397C22×C4×C11C2411yescharacteristic
398C22×C4×C11C2411yescharacteristic
399C22×C4×C11C2411yescharacteristic
400C22×C4×C11C2411yescharacteristic
401C22×C4×C11C2411yescharacteristic
402C22×C4×C11C2411yescharacteristic
403C22×C4×C11C2411yescharacteristic
404C22×C4×C11C2411yescharacteristic
405C22×C4×C11C2411yescharacteristic
406C2×C22⋊D11—22no—
407C2×C22⋊D11—22no—
408C2×C22⋊D11—41no—
409C2×C22⋊D11—41no—
410C2×C22⋊D11—41no—
411C2×C22⋊D11—41no—
412C2×C22⋊D11—41no—
413C2×C22⋊D11—41no—
414C2×C22⋊D11C22×C414yes—
415C2×C22⋊D11C22×C414yes—
416C2×C22⋊D11C22×C414yes—
417C2×C22⋊D11C22×C414yes—
418C22×Dic11—22no—
419C22×Dic11—22no—
420C22×Dic11—22no—
421C22×Dic11—22no—
422C22×Dic11—22no—
423C22×Dic11—22no—
424C22×Dic11—41no—
425C22×Dic11—41no—
426C22×Dic11—41no—
427C22×Dic11—41no—
428C22×Dic11—41no—
429C22×Dic11—41no—
430C22×Dic11—41no—
431C22×Dic11—41no—
432C22×Dic11—41no—
433C22×Dic11—41no—
434C22×Dic11—41no—
435C22×Dic11—416no—
436C22×Dic11C22×C414yes—
437C22×Dic11C22×C414yes—
438C22×Dic11C22×C414yes—
439C22×Dic11C22×C414yes—
440C22×Dic11C22×C414yes—
441C22×Dic11C22×C414yes—
442C22×Dic11C22×C414yes—
443C22×Dic11C2411yescharacteristic
444C22×Dic11C2411yescharacteristic
445C22×Dic11C2411yescharacteristic
446C22×Dic11C2411yescharacteristic
447C22×Dic11C2411yescharacteristic
448C22×Dic11C2411yescharacteristic
449C22×Dic11C2411yescharacteristic
450C22×Dic11C2411yescharacteristic
451C22×Dic11C2411yescharacteristic
452C22×Dic11C2411yescharacteristic
453C22×Dic11C2411yescharacteristic
454C22×Dic11C2411yescharacteristic
455C22×Dic11C2411yescharacteristic
456C22×Dic11C2411yescharacteristic
457C22×Dic11C2411yescharacteristic
458#4341—416no—
459C2×C4×D11—41no—
460C2×C4×D11—41no—
461C2×C4×D11—41no—
462C2×C4×D11—41no—
463C2×C4×D11—41no—
464C2×C4×D11—41no—
465C2×C4×D11—41no—
466C2×C4×D11—41no—
467C2×C4×D11C22×C414yes—
468C2×Dic22—22no—
469C2×Dic22—22no—
470C2×Dic22C22×C414yes—
471C11×C4⋊C4—41no—
472C11×C4⋊C4—41no—
473C11×C4⋊C4—41no—
474C11×C22⋊C4—41no—
475C11×C22⋊C4—41no—
476C11×C22⋊C4—41no—
477C11×C22⋊C4—41no—
478C11×C22⋊C4—41no—
479C11×C22⋊C4—41no—
480C11×C22⋊C4—41no—
481C11×C22⋊C4—41no—
482C11×C22⋊C4—41no—
483C11×C22⋊C4—41no—
484C11×C22⋊C4—41no—
485C11×C22⋊C4—41no—
486C11×C22⋊C4—41no—
487C11×C22⋊C4—41no—
488C11×C22⋊C4—41no—
489C11×C22⋊C4C22×C414yes—
490C11×C22⋊C4C22×C414yes—
491C11×C22⋊C4C22×C414yes—
492C42×C11—41no—
493C42×C11—41no—
494C42×C11—41no—
495C22⋊Dic11—41no—
496C22⋊Dic11—41no—
497C22⋊Dic11—41no—
498C22⋊Dic11—41no—
499C22⋊Dic11—41no—
500C22⋊Dic11—41no—
501C22⋊Dic11—41no—
502C22⋊Dic11—41no—
503C22⋊Dic11—41no—
504C22⋊Dic11—41no—
505C22⋊Dic11—41no—
506C22⋊Dic11—41no—
507C22⋊Dic11—41no—
508C22⋊Dic11—41no—
509C22⋊Dic11—41no—
510C22⋊Dic11C22×C414yes—
511C22⋊Dic11C22×C414yes—
512C22⋊Dic11C22×C414yes—
513C22⋊Dic11C22×C414yes—
514C22⋊Dic11C22×C414yes—
515(C2×D11)⋊C4—41no—
516(C2×D11)⋊C4—41no—
517(C2×D11)⋊C4—41no—
518(C2×D11)⋊C4—41no—
519(C2×D11)⋊C4—41no—
520(C2×D11)⋊C4—41no—
521(C2×D11)⋊C4C22×C414yes—
522(C2×D11)⋊C4C22×C414yes—
523C4⋊Dic11—41no—
524C4⋊Dic11—41no—
525C4⋊Dic11—41no—
526C4⋊Dic11C22×C414yes—
527C4⋊Dic11C22×C414yes—
528Dic11⋊C4—22no—
529Dic11⋊C4—22no—
530Dic11⋊C4—22no—
531Dic11⋊C4—22no—
532Dic11⋊C4—41no—
533Dic11⋊C4—41no—
534Dic11⋊C4—41no—
535Dic11⋊C4—41no—
536Dic11⋊C4—41no—
537Dic11⋊C4—41no—
538Dic11⋊C4—41no—
539Dic11⋊C4—41no—
540Dic11⋊C4—41no—
541Dic11⋊C4—41no—
542Dic11⋊C4C22×C414yes—
543Dic11⋊C4C22×C414yes—
544Dic11⋊C4C22×C414yes—
545Dic11⋊C4C22×C414yes—
546C4×Dic11—22no—
547C4×Dic11—22no—
548C4×Dic11—22no—
549C4×Dic11—22no—
550C4×Dic11—41no—
551C4×Dic11—41no—
552C4×Dic11—41no—
553C4×Dic11—41no—
554C4×Dic11—41no—
555C4×Dic11—41no—
556C4×Dic11—41no—
557C4×Dic11—41no—
558C4×Dic11—41no—
559C4×Dic11—41no—
560C4×Dic11—41no—
561C4×Dic11—41no—
562C4×Dic11—41no—
563C4×Dic11C22×C414yes—
564C4×Dic11C22×C414yes—
565C2×#525—111no—
566#2375—111no—
567#2375—111no—
568#2375—111no—
569#2375D1111yescharacteristic, complemented
570#2363—111no—
571#2363—111no—
572#2362—111no—
573#2362—111no—
574#2357—111no—
575#2357—111no—
576#2353—111no—
577#2353—111no—
578#2347—111no—
579#2346—111no—
580#2341—111no—
581#2339—111no—
582#2335—111no—
583#2335—111no—
584#2335—111no—
585#2335—111no—
586#2324—111no—
587#2324—111no—
588#2323—111no—
589#2323—111no—
590#2319—111no—
591#2319—111no—
592#2318—111no—
593#2318—111no—
594#2280—111no—
595#2280—111no—
596C23×C11—21no—
597C23×C11—21no—
598C23×C11—21no—
599C23×C11—21no—
600C23×C11—21no—
601C23×C11—21no—
602C23×C11—21no—
603C23×C11—21no—
604C23×C11—21no—
605C23×C11—21no—
606C23×C11—21no—
607C23×C11—21no—
608C23×C11—21no—
609C23×C11—21no—
610C23×C11—21no—
611C23×C11—21no—
612C23×C11—21no—
613C23×C11—21no—
614C23×C11—21no—
615C23×C11—21no—
616C23×C11—21no—
617C23×C11—21no—
618C23×C11—21no—
619C23×C11—21no—
620C23×C11—44no—
621C23×C11—44no—
622C23×C11—44no—
623C23×C11—44no—
624C23×C11—44no—
625C23×C11—44no—
626C23×C11—44no—
627C23×C11C23×C412yes—
628C23×C11C23×C412yes—
629C23×C11C23×C412yes—
630C23×C11C23×C412yes—
631C23×C11C2511yescharacteristic
632C22×D11—21no—
633C22×D11—21no—
634C22×D11—21no—
635C22×D11—21no—
636C22×D11—21no—
637C22×D11—21no—
638C22×D11C23×C412yes—
639D4×C11—44no—
640D4×C11—44no—
641D4×C11—44no—
642C2×C4×C11—21no—
643C2×C4×C11—21no—
644C2×C4×C11—21no—
645C2×C4×C11—21no—
646C2×C4×C11—21no—
647C2×C4×C11—21no—
648C2×C4×C11—21no—
649C2×C4×C11—21no—
650C2×C4×C11—21no—
651C2×C4×C11—21no—
652C2×C4×C11—21no—
653C2×C4×C11—21no—
654C2×C4×C11—21no—
655C2×C4×C11—21no—
656C2×C4×C11—21no—
657C2×C4×C11—21no—
658C2×C4×C11—21no—
659C2×C4×C11—21no—
660C2×C4×C11—21no—
661C2×C4×C11—21no—
662C2×C4×C11—21no—
663C2×C4×C11—21no—
664C2×C4×C11—21no—
665C2×C4×C11—21no—
666C2×C4×C11—21no—
667C2×C4×C11—21no—
668C2×C4×C11—21no—
669C2×C4×C11—21no—
670C2×C4×C11—21no—
671C2×C4×C11—21no—
672C2×C4×C11—82no—
673C2×C4×C11C23×C412yes—
674C2×C4×C11C23×C412yes—
675C2×C4×C11C23×C412yes—
676C22⋊D11—28no—
677C22⋊D11—44no—
678C22⋊D11—44no—
679C22⋊D11—44no—
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—21no—
691C2×Dic11—21no—
692C2×Dic11—28no—
693C2×Dic11—28no—
694C2×Dic11—28no—
695C2×Dic11—21no—
696C2×Dic11—21no—
697C2×Dic11—21no—
698C2×Dic11—21no—
699C2×Dic11—21no—
700C2×Dic11—21no—
701C2×Dic11—21no—
702C2×Dic11—21no—
703C2×Dic11—21no—
704C2×Dic11—21no—
705C2×Dic11—21no—
706C2×Dic11—21no—
707C2×Dic11—21no—
708C2×Dic11—21no—
709C2×Dic11—21no—
710C2×Dic11—21no—
711C2×Dic11—21no—
712C2×Dic11—21no—
713C2×Dic11—21no—
714C2×Dic11—21no—
715C2×Dic11—21no—
716C2×Dic11—21no—
717C2×Dic11—21no—
718C2×Dic11—21no—
719C2×Dic11—44no—
720C2×Dic11—44no—
721C2×Dic11—44no—
722C2×Dic11—44no—
723C2×Dic11—82no—
724C2×Dic11C23×C412yes—
725C2×Dic11C23×C412yes—
726C2×Dic11C23×C412yes—
727C2×Dic11C23×C412yes—
728C2×Dic11C23×C412yes—
729C2×Dic11C23×C412yes—
730C2×Dic11C23×C412yes—
731C2×Dic11H(5,𝔽2)12yes—
732C2×Dic11H(5,𝔽2)12yes—
733C4×D11—44no—
734C4×D11—82no—
735C4×D11—82no—
736Dic22—28no—
737C22×#41—111no—
738C24×C4—111no—
739#525—1116no—
740C2×#123—111no—
741C2×#123—111no—
742C2×C22⋊Q8—111no—
743C2×C22⋊Q8—111no—
744C2×#121—111no—
745C2×#121—111no—
746C2×#120—111no—
747C2×#120C2×D1111yescharacteristic
748C2×C4×Q8—111no—
749C2×C4×Q8—111no—
750C2×C4×D4—111no—
751C2×C4×D4—111no—
752C2×C4×D4—111no—
753C2×C4×D4—111no—
754C2×C4×D4—111no—
755C2×C4×D4—111no—
756C2×#117—111no—
757C2×#117—111no—
758C2×#117—111no—
759C2×#117—111no—
760C2×#117—111no—
761#391—111no—
762#391—111no—
763#390—111no—
764#390—111no—
765#390—111no—
766#390—111no—
767#390—111no—
768#390—111no—
769#390—111no—
770#390—111no—
771#390—111no—
772#390—111no—
773#390—111no—
774#390C2×D1111yescharacteristic
775#390C2×D1111yescharacteristic
776#390C2×D1111yescharacteristic
777#389—111no—
778#389—111no—
779#389—111no—
780#389—111no—
781#389—111no—
782#389—111no—
783#389—111no—
784#389—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
814#388C2×D1111yescharacteristic
815#388C2×D1111yescharacteristic
816#388C2×D1111yescharacteristic
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#386—111no—
826#386—111no—
827#386—111no—
828#386—111no—
829#386—111no—
830#386—111no—
831#386—111no—
832#386—111no—
833#386—111no—
834#386C2×D1111yescharacteristic
835#386C2×D1111yescharacteristic
836#386C2×D1111yescharacteristic
837#385—111no—
838#385—111no—
839#385—111no—
840#385—111no—
841#383—111no—
842#383—111no—
843#382—111no—
844#382—111no—
845#381—111no—
846#381—111no—
847#381—111no—
848#381—111no—
849#381—111no—
850#381—111no—
851#380—111no—
852#380—111no—
853#380—111no—
854#380—111no—
855#380—111no—
856#380—111no—
857#380—111no—
858#380—111no—
859#380—111no—
860#380—111no—
861#379—111no—
862#379—111no—
863#379C2×D1111yescharacteristic
864#379C2×D1111yescharacteristic
865C4×C4⋊C4—111no—
866C4×C4⋊C4—111no—
867C4×C4⋊C4—111no—
868C4×C4⋊C4—111no—
869C4×C4⋊C4—111no—
870C4×C4⋊C4—111no—
871C4×C4⋊C4—111no—
872C4×C4⋊C4—111no—
873C4×C4⋊C4—111no—
874C4×C4⋊C4—111no—
875C4×C22⋊C4—111no—
876C4×C22⋊C4—111no—
877C4×C22⋊C4—111no—
878C4×C22⋊C4—111no—
879C4×C22⋊C4—111no—
880C4×C22⋊C4—111no—
881C4×C22⋊C4—111no—
882C4×C22⋊C4—111no—
883C4×C22⋊C4—111no—
884C4×C22⋊C4—111no—
885C4×C22⋊C4—111no—
886C4×C22⋊C4—111no—
887C4×C22⋊C4—111no—
888C4×C22⋊C4—111no—
889#376—111no—
890#376—111no—
891C2×#95—111no—
892C2×#95—111no—
893C22×C11—22no—
894C22×C11—22no—
895C22×C11—22no—
896C22×C11—22no—
897C22×C11—22no—
898C22×C11—22no—
899C22×C11—22no—
900C22×C11—22no—
901C22×C11—22no—
902C22×C11—22no—
903C22×C11—22no—
904C22×C11—22no—
905C22×C11—416no—
906C22×C11—41no—
907C22×C11—41no—
908C22×C11—41no—
909C22×C11—41no—
910C22×C11—41no—
911C22×C11—41no—
912C22×C11—41no—
913C22×C11—41no—
914C22×C11—41no—
915C22×C11—41no—
916C22×C11—41no—
917C22×C11—41no—
918C22×C11—41no—
919C22×C11—41no—
920C22×C11—41no—
921C22×C11—41no—
922C22×C11C24×C411yescharacteristic
923C22×C11C2×H(5,𝔽2)11yescharacteristic
924C22×C11C2×H(5,𝔽2)11yescharacteristic
925C22×C11#58511yescharacteristic
926C22×C11#58511yescharacteristic
927C22×C11#58511yescharacteristic
928C22×C11#58511yescharacteristic
929C2×D11—22no—
930C2×D11—22no—
931C2×D11—22no—
932C2×D11—41no—
933C2×D11—41no—
934C2×D11—41no—
935C2×D11—41no—
936C4×C11—22no—
937C4×C11—22no—
938C4×C11—22no—
939C4×C11—41no—
940C4×C11—41no—
941C4×C11—41no—
942C4×C11—41no—
943C4×C11—41no—
944C4×C11—41no—
945C4×C11—41no—
946C4×C11—41no—
947Dic11—22no—
948Dic11—22no—
949Dic11—22no—
950Dic11—22no—
951Dic11—22no—
952Dic11—22no—
953Dic11—41no—
954Dic11—41no—
955Dic11—41no—
956Dic11—41no—
957Dic11—41no—
958Dic11—41no—
959Dic11—41no—
960Dic11—41no—
961Dic11#51814yes—
962C25C22×D1111yescharacteristic
963C2×#41—118no—
964C2×#41—442no—
965C2×#41—442no—
966C22×Q8—111no—
967C22×D4—111no—
968C22×D4—111no—
969C22×D4—111no—
970C22×D4—111no—
971C22×D4C22×D1111yescharacteristic
972C22×D4C22×D1111yescharacteristic
973C22×D4C22×D1111yescharacteristic
974C23×C4—111no—
975C23×C4—111no—
976C23×C4—111no—
977C23×C4—118no—
978C23×C4—111no—
979C23×C4—111no—
980C23×C4—111no—
981C23×C4—111no—
982C23×C4—111no—
983C23×C4—111no—
984C23×C4—111no—
985C23×C4—111no—
986C23×C4—442no—
987C23×C4—442no—
988C23×C4C22×D1111yescharacteristic
989#123—118no—
990#123—118no—
991C22⋊Q8—118no—
992C22⋊Q8—118no—
993#121—118no—
994#121—118no—
995#120—118no—
996#120C4×D1118yescomplemented
997C4×Q8—442no—
998C4×Q8—442no—
999C4×D4—118no—
1000C4×D4—118no—
1001C4×D4—118no—
1002C4×D4—118no—
1003C4×D4—442no—
1004C4×D4—442no—
1005#117—118no—
1006#117—442no—
1007#117—442no—
1008#117—442no—
1009#117—442no—
1010C2×C4⋊C4—111no—
1011C2×C4⋊C4—111no—
1012C2×C4⋊C4—111no—
1013C2×C4⋊C4—111no—
1014C2×C4⋊C4—111no—
1015C2×C4⋊C4—111no—
1016C2×C4⋊C4—111no—
1017C2×C4⋊C4—111no—
1018C2×C4⋊C4—111no—
1019C2×C4⋊C4—111no—
1020C2×C4⋊C4—111no—
1021C2×C4⋊C4—111no—
1022C2×C4⋊C4—111no—
1023C2×C4⋊C4—111no—
1024C2×C4⋊C4—111no—
1025C2×C4⋊C4—111no—
1026C2×C4⋊C4—111no—
1027C2×C4⋊C4—111no—
1028C2×C4⋊C4—111no—
1029C2×C4⋊C4—111no—
1030C2×C4⋊C4—111no—
1031C2×C4⋊C4—111no—
1032C2×C4⋊C4—111no—
1033C2×C4⋊C4C22×D1111yescharacteristic
1034C2×C4⋊C4C22×D1111yescharacteristic
1035C2×C4⋊C4C22×D1111yescharacteristic
1036C2×C22⋊C4—111no—
1037C2×C22⋊C4—111no—
1038C2×C22⋊C4—111no—
1039C2×C22⋊C4—111no—
1040C2×C22⋊C4—111no—
1041C2×C22⋊C4—111no—
1042C2×C22⋊C4—111no—
1043C2×C22⋊C4—111no—
1044C2×C22⋊C4—111no—
1045C2×C22⋊C4—111no—
1046C2×C22⋊C4—111no—
1047C2×C22⋊C4—111no—
1048C2×C22⋊C4—111no—
1049C2×C22⋊C4—111no—
1050C2×C22⋊C4—111no—
1051C2×C22⋊C4—111no—
1052C2×C22⋊C4—111no—
1053C2×C22⋊C4—111no—
1054C2×C22⋊C4—111no—
1055C2×C22⋊C4—111no—
1056C2×C22⋊C4—111no—
1057C2×C22⋊C4—111no—
1058C2×C22⋊C4—111no—
1059C2×C22⋊C4—111no—
1060C2×C22⋊C4—111no—
1061C2×C22⋊C4—111no—
1062C2×C22⋊C4—111no—
1063C2×C22⋊C4—111no—
1064C2×C22⋊C4C22×D1111yescharacteristic
1065C2×C22⋊C4C22×D1111yescharacteristic
1066C2×C22⋊C4C22×D1111yescharacteristic
1067C2×C22⋊C4C22×D1111yescharacteristic
1068C2×C22⋊C4C22×D1111yescharacteristic
1069C2×C22⋊C4C22×D1111yescharacteristic
1070C2×C22⋊C4C22×D1111yescharacteristic
1071C2×C22⋊C4C22×D1111yescharacteristic
1072C2×C22⋊C4C22×D1111yescharacteristic
1073C2×C22⋊C4C22×D1111yescharacteristic
1074C2×C22⋊C4C22×D1111yescharacteristic
1075C2×C22⋊C4C22×D1111yescharacteristic
1076C2×C22⋊C4C22×D1111yescharacteristic
1077C2×C22⋊C4C22×D1111yescharacteristic
1078C2×C22⋊C4C22×D1111yescharacteristic
1079C2×C22⋊C4C22×D1111yescharacteristic
1080C2×C22⋊C4C22×D1111yescharacteristic
1081C2×C22⋊C4C22×D1111yescharacteristic
1082C2×C42—111no—
1083C2×C42—111no—
1084C2×C42—111no—
1085C2×C42—111no—
1086C2×C42—111no—
1087C2×C42—111no—
1088C2×C42—111no—
1089C2×C42—111no—
1090C2×C42—111no—
1091C2×C42—111no—
1092C2×C42—111no—
1093C2×C42—111no—
1094C2×C42—111no—
1095C2×C42—111no—
1096C2×C42—111no—
1097C2×C42—111no—
1098C2×C42—111no—
1099C2×C42—111no—
1100C2×C42—111no—
1101C2×C42C22×D1111yescharacteristic
1102C2×C42C22×D1111yescharacteristic
1103C2×C42C22×D1111yescharacteristic
1104#95—111no—
1105#95—111no—
1106#95—111no—
1107#95—111no—
1108#95—111no—
1109#95—111no—
1110#95—111no—
1111#95—111no—
1112#95—111no—
1113#95—111no—
1114#95—111no—
1115#95—111no—
1116#95—111no—
1117#95—111no—
1118#95—111no—
1119#95—111no—
1120#95—111no—
1121#95—111no—
1122#95—111no—
1123#95—111no—
1124#95—111no—
1125#95—111no—
1126#95—111no—
1127#95—111no—
1128#95—111no—
1129#95—111no—
1130#95—111no—
1131#95—111no—
1132#95—111no—
1133#95—111no—
1134#95—111no—
1135#95—111no—
1136#95—111no—
1137#95—111no—
1138#95C22×D1111yescharacteristic
1139#95C22×D1111yescharacteristic
1140#95C22×D1111yescharacteristic
1141#95C22×D1111yescharacteristic
1142#95C22×D1111yescharacteristic
1143#95C22×D1111yescharacteristic
1144C2×C11—42no—
1145C2×C11—42no—
1146C2×C11—42no—
1147C2×C11—42no—
1148C2×C11C2×#51811yescharacteristic
1149C2×C11#342811yescharacteristic
1150C2×C11#342811yescharacteristic
1151C2×C11#353911yescharacteristic
1152C2×C11#353911yescharacteristic
1153C2×C11#354011yescharacteristic
1154C2×C11#354011yescharacteristic
1155D11—42no—
1156C24—41no—
1157C24—41no—
1158C24—41no—
1159C24—41no—
1160C24—41no—
1161C24—41no—
1162C24—111no—
1163C24C2×C4×D1114yes—
1164C24C23×D1111yescharacteristic
1165C24C23×D1111yescharacteristic
1166C24C23×D1111yescharacteristic
1167C24C23×D1111yescharacteristic
1168#41—4416no—
1169C2×Q8—114no—
1170C2×Q8—222no—
1171C2×Q8—222no—
1172C2×D4—41no—
1173C2×D4—41no—
1174C2×D4—41no—
1175C2×D4—41no—
1176C2×D4—41no—
1177C2×D4—41no—
1178C2×D4—114no—
1179C2×D4—114no—
1180C2×D4—114no—
1181C2×D4—114no—
1182C2×D4—222no—
1183C2×D4—222no—
1184C2×D4—441no—
1185C2×D4—441no—
1186C2×D4—441no—
1187C2×D4—441no—
1188C2×D4—441no—
1189C2×D4—441no—
1190C2×D4C2×C4×D1114yes—
1191C2×D4C2×C4×D1114yes—
1192C2×D4C2×C4×D1114yes—
1193C22×C4—41no—
1194C22×C4—41no—
1195C22×C4—41no—
1196C22×C4—111no—
1197C22×C4—114no—
1198C22×C4—114no—
1199C22×C4—114no—
1200C22×C4—111no—
1201C22×C4—111no—
1202C22×C4—111no—
1203C22×C4—111no—
1204C22×C4—111no—
1205C22×C4—111no—
1206C22×C4—114no—
1207C22×C4—114no—
1208C22×C4—114no—
1209C22×C4—114no—
1210C22×C4—114no—
1211C22×C4—111no—
1212C22×C4—111no—
1213C22×C4—111no—
1214C22×C4—111no—
1215C22×C4—111no—
1216C22×C4—111no—
1217C22×C4—111no—
1218C22×C4—111no—
1219C22×C4—222no—
1220C22×C4—222no—
1221C22×C4—222no—
1222C22×C4—222no—
1223C22×C4—222no—
1224C22×C4—222no—
1225C22×C4—441no—
1226C22×C4—441no—
1227C22×C4—441no—
1228C22×C4—441no—
1229C22×C4—441no—
1230C22×C4—441no—
1231C22×C4—441no—
1232C22×C4—441no—
1233C22×C4—4416no—
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×C4C23×D1111yescharacteristic
1246C22×C4C23×D1111yescharacteristic
1247C22×C4C23×D1111yescharacteristic
1248C22×C4C23×D1111yescharacteristic
1249C22×C4C23×D1111yescharacteristic
1250C22×C4C23×D1111yescharacteristic
1251C22×C4C23×D1111yescharacteristic
1252C22×C4C23×D1111yescharacteristic
1253C22×C4C23×D1111yescharacteristic
1254C22×C4C23×D1111yescharacteristic
1255C22×C4C23×D1111yescharacteristic
1256C4⋊C4—41no—
1257C4⋊C4—41no—
1258C4⋊C4—41no—
1259C4⋊C4—114no—
1260C4⋊C4—114no—
1261C4⋊C4—114no—
1262C4⋊C4—114no—
1263C4⋊C4—114no—
1264C4⋊C4—114no—
1265C4⋊C4—222no—
1266C4⋊C4—222no—
1267C4⋊C4—222no—
1268C4⋊C4—222no—
1269C4⋊C4—441no—
1270C4⋊C4—441no—
1271C4⋊C4—441no—
1272C4⋊C4—441no—
1273C4⋊C4—441no—
1274C4⋊C4—441no—
1275C4⋊C4—441no—
1276C4⋊C4—441no—
1277C4⋊C4—441no—
1278C4⋊C4—441no—
1279C4⋊C4—441no—
1280C4⋊C4—441no—
1281C4⋊C4—441no—
1282C22⋊C4—41no—
1283C22⋊C4—41no—
1284C22⋊C4—41no—
1285C22⋊C4—41no—
1286C22⋊C4—41no—
1287C22⋊C4—41no—
1288C22⋊C4—41no—
1289C22⋊C4—41no—
1290C22⋊C4—41no—
1291C22⋊C4—41no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—114no—
1298C22⋊C4—114no—
1299C22⋊C4—114no—
1300C22⋊C4—114no—
1301C22⋊C4—114no—
1302C22⋊C4—114no—
1303C22⋊C4—114no—
1304C22⋊C4—441no—
1305C22⋊C4—441no—
1306C22⋊C4—441no—
1307C22⋊C4—441no—
1308C22⋊C4—441no—
1309C22⋊C4—441no—
1310C22⋊C4—441no—
1311C22⋊C4—441no—
1312C22⋊C4—441no—
1313C22⋊C4—441no—
1314C22⋊C4—441no—
1315C22⋊C4—441no—
1316C22⋊C4—441no—
1317C22⋊C4—441no—
1318C22⋊C4—441no—
1319C22⋊C4—441no—
1320C22⋊C4—441no—
1321C22⋊C4—441no—
1322C22⋊C4—441no—
1323C22⋊C4—441no—
1324C22⋊C4—441no—
1325C22⋊C4C2×C4×D1114yes—
1326C22⋊C4C2×C4×D1114yes—
1327C22⋊C4C2×C4×D1114yes—
1328C42—41no—
1329C42—41no—
1330C42—41no—
1331C42—114no—
1332C42—114no—
1333C42—222no—
1334C42—222no—
1335C42—222no—
1336C42—222no—
1337C42—441no—
1338C42—441no—
1339C42—441no—
1340C42—441no—
1341C42—441no—
1342C42—441no—
1343C42—441no—
1344C42—441no—
1345C42—441no—
1346C42—441no—
1347C42—441no—
1348C42—441no—
1349C42—441no—
1350C11#3439111yescharacteristic, complemented, Sylow
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—44no—
1376C23—44no—
1377C23—44no—
1378C23—44no—
1379C23—44no—
1380C23—44no—
1381C23—44no—
1382C23—112no—
1383C23—221no—
1384C23—221no—
1385C23—221no—
1386C23—221no—
1387C23—221no—
1388C23—221no—
1389C23C22×C4×D1112yes—
1390C23C22×C4×D1112yes—
1391C23C22×C4×D1112yes—
1392C23C22×C4×D1112yes—
1393C23C24×D1111yescharacteristic
1394Q8—228no—
1395D4—44no—
1396D4—44no—
1397D4—44no—
1398D4—228no—
1399D4—444no—
1400D4—444no—
1401D4—444no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—82no—
1433C2×C4—112no—
1434C2×C4—112no—
1435C2×C4—112no—
1436C2×C4—112no—
1437C2×C4—112no—
1438C2×C4—112no—
1439C2×C4—112no—
1440C2×C4—112no—
1441C2×C4—112no—
1442C2×C4—228no—
1443C2×C4—228no—
1444C2×C4—228no—
1445C2×C4—221no—
1446C2×C4—221no—
1447C2×C4—221no—
1448C2×C4—221no—
1449C2×C4—221no—
1450C2×C4—221no—
1451C2×C4—221no—
1452C2×C4—221no—
1453C2×C4—221no—
1454C2×C4—221no—
1455C2×C4—221no—
1456C2×C4—221no—
1457C2×C4—221no—
1458C2×C4—221no—
1459C2×C4—221no—
1460C2×C4—221no—
1461C2×C4—221no—
1462C2×C4—221no—
1463C2×C4—221no—
1464C2×C4—221no—
1465C2×C4—221no—
1466C2×C4—221no—
1467C2×C4—221no—
1468C2×C4—221no—
1469C2×C4—221no—
1470C2×C4—221no—
1471C2×C4—221no—
1472C2×C4—221no—
1473C2×C4—221no—
1474C2×C4—221no—
1475C2×C4—221no—
1476C2×C4—221no—
1477C2×C4—221no—
1478C2×C4—221no—
1479C2×C4—221no—
1480C2×C4—221no—
1481C2×C4—444no—
1482C2×C4—444no—
1483C2×C4—444no—
1484C2×C4—444no—
1485C2×C4—444no—
1486C2×C4—882no—
1487C2×C4—882no—
1488C2×C4—882no—
1489C2×C4C22×C4×D1112yes—
1490C2×C4C22×C4×D1112yes—
1491C2×C4C22×C4×D1112yes—
1492C22—22no—
1493C22—22no—
1494C22—22no—
1495C22—22no—
1496C22—22no—
1497C22—22no—
1498C22—22no—
1499C22—22no—
1500C22—22no—
1501C22—22no—
1502C22—22no—
1503C22—22no—
1504C22—416no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—222no—
1522C22—222no—
1523C22—222no—
1524C22—441no—
1525C22—441no—
1526C22—441no—
1527C22—441no—
1528C22C23×C4×D1111yescharacteristic
1529C22D11×H(5,𝔽2)11yescharacteristic
1530C22D11×H(5,𝔽2)11yescharacteristic
1531C22#1062345511yescharacteristic
1532C22#1062345511yescharacteristic
1533C22#1062345511yescharacteristic
1534C22#1062345511yescharacteristic
1535C4—22no—
1536C4—22no—
1537C4—22no—
1538C4—41no—
1539C4—41no—
1540C4—41no—
1541C4—41no—
1542C4—41no—
1543C4—41no—
1544C4—41no—
1545C4—41no—
1546C4—114no—
1547C4—222no—
1548C4—222no—
1549C4—222no—
1550C4—222no—
1551C4—222no—
1552C4—222no—
1553C4—441no—
1554C4—441no—
1555C4—441no—
1556C4—441no—
1557C4—441no—
1558C4—441no—
1559C4—441no—
1560C4—441no—
1561C2—42no—
1562C2—42no—
1563C2—42no—
1564C2—42no—
1565C2—442no—
1566C2D11×#51811yescharacteristic
1567C2#1308181411yescharacteristic
1568C2#1308181411yescharacteristic
1569C2#1308287011yescharacteristic
1570C2#1308287011yescharacteristic
1571C2#1308288311yescharacteristic
1572C2#1308288911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2375C2
socle, cosocleC23×C11C25
prime radicalC2×#10623117C2
hypercenter#2375D11
hypocenterC11#34391
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2375

Complements

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

NH ≅ G/Ntype
2. #13071757C2semidirect
3. #13071755C2semidirect
4. #13071755C2semidirect
5. #13071657C2semidirect
6. #13071651C2semidirect
7. #13071646C2semidirect
8. #13071640C2semidirect
9. #13071588C2semidirect
10. #13071586C2semidirect
11. #13071554C2semidirect
12. #13071551C2semidirect
13. #13071506C2semidirect
14. #13071498C2semidirect
15. #13071455C2semidirect
16. #13071442C2semidirect
17. #13071411C2semidirect
18. #13071407C2semidirect
19. #13071403C2semidirect
20. #13071399C2semidirect
21. #13071306C2semidirect
22. #13071302C2semidirect
23. #13071295C2semidirect
24. #13071291C2semidirect
25. #13071257C2semidirect
26. #13071253C2semidirect
27. #13071246C2semidirect
28. #13071242C2semidirect
29. #13070994C2semidirect
30. #13070994C2semidirect
31. C11×#2375C2semidirect
41. C2×C4×C22⋊D11C22semidirect
42. #10623117C4semidirect
43. C2×#66940C22semidirect
47. C2×(C22⋊D11)⋊C4C22semidirect
55. C2×C4×Dic22C22semidirect
78. #10622823C22semidirect
79. C4×C22⋊Dic11C22semidirect
80. C2×C11⋊#95C22semidirect
81. #10622603C22semidirect
82. #10622602C22semidirect
83. #10622600C22semidirect
84. #10622591C22semidirect
85. #10622590C22semidirect
86. C4⋊C4×Dic11C22semidirect
87. C4⋊C4×Dic11C22semidirect
88. #10622586C22semidirect
89. #10622585C22semidirect
90. #10622585C22semidirect
91. #10622585C22semidirect
98. #10622570C22semidirect
99. #10622570C22semidirect
112. #10622559C22semidirect
119. #10622558C22semidirect
120. #10622558C22semidirect
127. #10622557C22semidirect
128. #10622557C22semidirect
133. #10622556C22semidirect
142. #10622555C22semidirect
151. C22⋊C4×Dic11C22semidirect
152. C22⋊C4×Dic11C22semidirect
153. #10622553C22semidirect
154. C4×(C2×D11)⋊C4C22semidirect
155. C4×(C2×D11)⋊C4C22semidirect
156. C4×C4⋊Dic11C22semidirect
157. #10622546C22semidirect
158. #10622545C22semidirect
159. C4×Dic11⋊C4C22semidirect
160. C4×Dic11⋊C4C22semidirect
161. C4×Dic11⋊C4C22semidirect
162. C4×Dic11⋊C4C22semidirect
163. #10622541C22semidirect
164. #10622283C22semidirect
165. #10622282C22semidirect
166. #10622281C22semidirect
167. #10622279C22semidirect
168. #10622277C22semidirect
169. D11×#95C22semidirect
170. #10622268C22semidirect
171. #10622267C22semidirect
172. #10622267C22semidirect
173. #10622266C22semidirect
174. #10622266C22semidirect
175. #10622265C22semidirect
176. #10622264C22semidirect
177. #10622264C22semidirect
178. #10622263C22semidirect
179. #10622262C22semidirect
180. #10622262C22semidirect
181. #10622262C22semidirect
182. #10622261C22semidirect
183. #10622260C22semidirect
184. #10622260C22semidirect
185. #10622260C22semidirect
186. #10622259C22semidirect
187. #10622259C22semidirect
199. C23×Dic11C2×C4semidirect
215. C11×#120C2×C4semidirect
240. #67006C2×C4semidirect
263. #66988C2×C4semidirect
264. D4×Dic11C2×C4semidirect
265. D4×Dic11C2×C4semidirect
318. #66939C2×C4semidirect
320. (C22⋊D11)⋊C4C2×C4semidirect
321. (C22⋊D11)⋊C4C2×C4semidirect
322. #66931C2×C4semidirect
323. #66931C2×C4semidirect
328. #66930C2×C4semidirect
569. #2375D11semidirect
996. #120C4×D11semidirect
1350. C11#34391semidirect

Maximal subgroups

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

subgroupindex
C2×#106231172
#130717572
#130717552
#130716572
#130716512
#130716462
#130716402
#130715882
#130715862
#130715542
#130715512
#130715062
#130714982
#130714552
#130714422
#130714112
#130714072
#130714032
#130713992
#130713062
#130713022
#130712952
#130712912
#130712572
#130712532
#130712462
#130712422
#130709942
C11×#23752
#3439111