Finite Group Databasebeta

← #14922599

Subgroups — #14922599

Order 2816.

2668 conjugacy classes of subgroups.

The subgroup lattice has 1622 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623237C211yesmaximal, characteristic, complemented
2C22×#66945C211yesmaximal, characteristic, complemented
3#13072862C211yesmaximal, characteristic, complemented
4#13072843C211yesmaximal, characteristic, complemented
5#13072836C211yesmaximal, characteristic, complemented
6#13072815C211yesmaximal, characteristic, complemented
7#13072808C211yesmaximal, characteristic, complemented
8#13072780C211yesmaximal, characteristic, complemented
9#13072773C211yesmaximal, characteristic, complemented
10#13072754C211yesmaximal, characteristic, complemented
11#13072747C211yesmaximal, characteristic, complemented
12#13072722C211yesmaximal, characteristic, complemented
13#13072715C211yesmaximal, characteristic, complemented
14#13072425C211yesmaximal, characteristic, complemented
15#13072357C211yesmaximal, characteristic, complemented
16#13072154C211yesmaximal, characteristic
17#13072084C211yesmaximal, characteristic, complemented
18#13071889C211yesmaximal, characteristic, complemented
19#13071882C211yesmaximal, characteristic, complemented
20#13071878C211yesmaximal, characteristic, complemented
21#13071861C211yesmaximal, characteristic, complemented
22#13071144C211yesmaximal, characteristic, complemented
23#13071126C211yesmaximal, characteristic, complemented
24#13071121C211yesmaximal, characteristic, complemented
25#13071117C211yesmaximal, characteristic, complemented
26#13071108C211yesmaximal, characteristic, complemented
27#13071076C211yesmaximal, characteristic, complemented
28#13071056C211yesmaximal, characteristic, complemented
29#13071054C211yesmaximal, characteristic, complemented
30C4×(C22⋊D11)⋊C4C211yesmaximal, characteristic, complemented
31C11×#2481C211yesmaximal, characteristic, complemented
32C23×C4×D11C2211yescharacteristic
33C2×C11×#126C2211yescharacteristic, complemented
34C22×C11×C4⋊C4C2211yescharacteristic
35C2×#66992C2211yescharacteristic
36C2×#66990C2211yescharacteristic
37C2×D4×Dic11C2211yescharacteristic
38C2×C4×C22⋊D11C2211yescharacteristic
39C22×(C2×D11)⋊C4C2211yescharacteristic
40C22×(C2×D11)⋊C4C2211yescharacteristic
41C22×C4⋊Dic11C2211yescharacteristic
42C2×#66977C2211yescharacteristic
43C22×C4×Dic11C2211yescharacteristic
44C22×C4×Dic11C2211yescharacteristic
45#10623237—28no—
46C2×#66949C2211yescharacteristic, complemented
47C2×#66947C2211yescharacteristic
48C2×#66946C2211yescharacteristic
49C2×#66946C2211yescharacteristic
50C2×#66945—28no—
51C2×#66945C2211yescharacteristic
52C2×#66945C2211yescharacteristic
53C2×#66945C2211yescharacteristic
54C2×#66945C2211yescharacteristic
55C2×#66945C2211yescharacteristic
56C2×#66945C2211yescharacteristic
57C2×#66945C2211yescharacteristic
58C2×#66945C2211yescharacteristic
59C2×#66942C2211yescharacteristic, complemented
60C2×#66940C2211yescharacteristic, complemented
61C2×#66938C2211yescharacteristic
62C2×#66937C2211yescharacteristic
63C2×#66936C2211yescharacteristic, complemented
64C2×#66935C2211yescharacteristic
65C2×(C22⋊D11)⋊C4C2211yescharacteristic
66C2×(C22⋊D11)⋊C4C2211yescharacteristic
67C2×(C22⋊D11)⋊C4C2211yescharacteristic
68C2×(C22⋊D11)⋊C4C2211yescharacteristic
69C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
70C2×#66930C2211yescharacteristic, complemented
71C2×#66929C2211yescharacteristic
72C2×C42×D11C2211yescharacteristic, complemented
73C11×#400C2211yescharacteristic, complemented
74C11×#400C2211yescharacteristic, complemented
75C11×#397C2211yescharacteristic, complemented
76C11×#396C2211yescharacteristic, complemented
77C11×#388C2211yescharacteristic, complemented
78C11×#387C2211yescharacteristic, complemented
79C11×#387C2211yescharacteristic, complemented
80C11×#386C2211yescharacteristic
81C11×#386C2211yescharacteristic
82C11×#386C2211yescharacteristic
83C11×#385C2211yescharacteristic
84C11×#380C2211yescharacteristic
85C4×C11×C22⋊C4C2211yescharacteristic
86#10622833C2211yescharacteristic
87#10622826C2211yescharacteristic
88#10622826C2211yescharacteristic
89#10622823C2211yescharacteristic
90#10622823C2211yescharacteristic
91#10622607C2211yescharacteristic, complemented
92#10622605C2211yescharacteristic
93#10622605C2211yescharacteristic, complemented
94#10622604C2211yescharacteristic
95#10622603C2211yescharacteristic
96#10622602C2211yescharacteristic
97#10622602C2211yescharacteristic
98#10622602C2211yescharacteristic, complemented
99#10622597C2211yescharacteristic, complemented
100#10622596C2211yescharacteristic, complemented
101#10622594C2211yescharacteristic, complemented
102#10622594C2211yescharacteristic, complemented
103#10622593C2211yescharacteristic, complemented
104#10622592C2211yescharacteristic, complemented
105C4⋊C4×Dic11C2211yescharacteristic, complemented
106#10622587C2211yescharacteristic, complemented
107#10622586C2211yescharacteristic, complemented
108#10622585C2211yescharacteristic, complemented
109#10622574C2211yescharacteristic
110#10622574C2211yescharacteristic, complemented
111#10622573C2211yescharacteristic
112#10622572C2211yescharacteristic
113#10622572C2211yescharacteristic
114#10622570C2211yescharacteristic
115#10622570C2211yescharacteristic
116#10622570C2211yescharacteristic, complemented
117#10622569C2211yescharacteristic
118#10622569C2211yescharacteristic
119#10622568C2211yescharacteristic
120#10622568C2211yescharacteristic
121#10622564C2211yescharacteristic, complemented
122#10622562C2211yescharacteristic, complemented
123#10622559C2211yescharacteristic
124#10622559C2211yescharacteristic
125#10622559C2211yescharacteristic
126#10622558C2211yescharacteristic, complemented
127#10622557C2211yescharacteristic, complemented
128#10622557C2211yescharacteristic, complemented
129#10622555C2211yescharacteristic
130C22⋊C4×Dic11C2211yescharacteristic
131C22⋊C4×Dic11C2211yescharacteristic
132C22⋊C4×Dic11C2211yescharacteristic
133C22⋊C4×Dic11C2211yescharacteristic, complemented
134C22⋊C4×Dic11C2211yescharacteristic, complemented
135#10622553C2211yescharacteristic
136#10622553C2211yescharacteristic
137#10622553C2211yescharacteristic
138C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
139C4×Dic11⋊C4C2211yescharacteristic, complemented
140C42×Dic11C2211yescharacteristic, complemented
141#10622289C2211yescharacteristic
142#10622289C2211yescharacteristic
143#10622288C2211yescharacteristic
144#10622288C2211yescharacteristic
145#10622288C2211yescharacteristic
146#10622288C2211yescharacteristic
147#10622288C2211yescharacteristic
148#10622287C2211yescharacteristic, complemented
149#10622286C2211yescharacteristic
150#10622285C2211yescharacteristic
151#10622285C2211yescharacteristic
152#10622283C2211yescharacteristic
153#10622283C2211yescharacteristic, complemented
154#10622282C2211yescharacteristic
155#10622282C2211yescharacteristic
156#10622282C2211yescharacteristic
157#10622281C2211yescharacteristic
158#10622281C2211yescharacteristic
159#10622281C2211yescharacteristic, complemented
160#10622279C2211yescharacteristic
161#10622279C2211yescharacteristic
162#10622279C2211yescharacteristic
163#10622279C2211yescharacteristic
164#10622279C2211yescharacteristic, complemented
165#10622279C2211yescharacteristic, complemented
166#10622279C2211yescharacteristic, complemented
167#10622278C2211yescharacteristic
168#10622278C2211yescharacteristic
169#10622278C2211yescharacteristic
170#10622278C2211yescharacteristic
171#10622272C2211yescharacteristic, complemented
172#10622270C2211yescharacteristic, complemented
173#10622270C2211yescharacteristic, complemented
174#10622267C2211yescharacteristic, complemented
175#10622267C2211yescharacteristic, complemented
176#10622266C2211yescharacteristic, complemented
177#10622266C2211yescharacteristic, complemented
178#10622265C2211yescharacteristic, complemented
179#10622265C2211yescharacteristic, complemented
180#10622262C2211yescharacteristic, complemented
181#10622262C2211yescharacteristic, complemented
182#10622262C2211yescharacteristic, complemented
183#10622262C2211yescharacteristic, complemented
184#10622262C2211yescharacteristic, complemented
185#10622262C2211yescharacteristic, complemented
186#10622261C2211yescharacteristic, complemented
187#10622260C2211yescharacteristic, complemented
188#10622260C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C23×Dic11C2311yescharacteristic
199C23×Dic11C2311yescharacteristic
200C23×Dic11C2311yescharacteristic
201C23×Dic11C2311yescharacteristic
202C22×D44C2311yescharacteristic
203C22×D44C2311yescharacteristic
204C22×C4×D11—24no—
205C22×C4×D11—24no—
206C22×C4×D11—24no—
207C22×C4×D11C2311yescharacteristic
208C22×C4×D11C2311yescharacteristic
209C22×C4×D11C2311yescharacteristic
210C22×C4×D11C2311yescharacteristic
211C22×C4×D11C2311yescharacteristic
212C22×C4×D11C2311yescharacteristic
213C22×C4×D11C2311yescharacteristic
214C22×Dic22C2311yescharacteristic
215C11×#126—24no—
216C2×C11×C4⋊C4—24no—
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C4⋊C4C2311yescharacteristic
219C2×C11×C4⋊C4C2311yescharacteristic
220C2×C11×C4⋊C4C2311yescharacteristic
221C2×C11×C4⋊C4C2311yescharacteristic
222C2×C11×C4⋊C4C2311yescharacteristic
223C2×C11×C4⋊C4C2311yescharacteristic
224C2×C11×C4⋊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×C42×C11C2311yescharacteristic
235C2×C42×C11C2311yescharacteristic
236C2×C22⋊Dic11C2311yescharacteristic
237C2×C22⋊Dic11C2311yescharacteristic
238C2×C22⋊Dic11C2311yescharacteristic
239C2×C22⋊Dic11C2311yescharacteristic
240C2×C22⋊Dic11C2311yescharacteristic
241C2×C22⋊Dic11C2311yescharacteristic
242C2×C22⋊Dic11C2311yescharacteristic
243#66992—24no—
244#66990—24no—
245D4×Dic11—24no—
246C4×C22⋊D11—24no—
247C2×(C2×D11)⋊C4—24no—
248C2×(C2×D11)⋊C4—24no—
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×C4⋊Dic11—24no—
278C2×C4⋊Dic11C2311yescharacteristic
279C2×C4⋊Dic11C2311yescharacteristic
280C2×C4⋊Dic11C2311yescharacteristic
281C2×C4⋊Dic11C2311yescharacteristic
282C2×C4⋊Dic11C2311yescharacteristic
283C2×C4⋊Dic11C2311yescharacteristic
284#66977—24no—
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×Dic11⋊C4C2311yescharacteristic
300C2×Dic11⋊C4C2311yescharacteristic
301C2×Dic11⋊C4C2311yescharacteristic
302C2×Dic11⋊C4C2311yescharacteristic
303C2×C4×Dic11—24no—
304C2×C4×Dic11—24no—
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
317C2×C4×Dic11C2311yescharacteristic
318C2×C4×Dic11C2311yescharacteristic
319C2×C4×Dic11C2311yescharacteristic
320C2×C4×Dic11C2311yescharacteristic
321C2×C4×Dic11C2311yescharacteristic
322C2×C4×Dic11C2311yescharacteristic
323#66949—24no—
324#66947—24no—
325#66946—24no—
326#66946—24no—
327#66945—24no—
328#66945—24no—
329#66945—24no—
330#66945—24no—
331#66945—24no—
332#66945—24no—
333#66945—24no—
334#66945D418yescomplemented
335#66942—24no—
336#66940—24no—
337#66938—24no—
338#66937—24no—
339#66936—24no—
340#66935—24no—
341(C22⋊D11)⋊C4—24no—
342(C22⋊D11)⋊C4—24no—
343(C22⋊D11)⋊C4—24no—
344(C22⋊D11)⋊C4—24no—
345(C22⋊D11)⋊C4—24no—
346#66930—24no—
347#66929—24no—
348C42×D11—24no—
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
370C11⋊#95C2311yescharacteristic
371C11⋊#95C2311yescharacteristic
372C11⋊#95C2311yescharacteristic
373C11⋊#95C2311yescharacteristic
374C11⋊#95C2311yescharacteristic
375C11⋊#95C2311yescharacteristic
376C11⋊#95C2311yescharacteristic
377C11⋊#95C2311yescharacteristic
378C11⋊#95C2311yescharacteristic
379C11⋊#95C2311yescharacteristic
380C11⋊#95C2311yescharacteristic
381C11⋊#95C2311yescharacteristic
382C11⋊#95C2311yescharacteristic
383C11⋊#95C2311yescharacteristic
384C11⋊#95C2311yescharacteristic
385#34740—111nomaximal, Sylow
386C24×C11C2411yescharacteristic
387C24×C11C2411yescharacteristic
388C23×D11—22no—
389C23×D11—22no—
390C23×D11—22no—
391C23×D11—22no—
392C23×D11—22no—
393C23×D11—41no—
394C23×D11—41no—
395C23×D11C2411yescharacteristic
396C23×D11C2411yescharacteristic
397C23×D11C2411yescharacteristic
398C2×D4×C11—22no—
399C2×D4×C11—22no—
400C2×D4×C11—22no—
401C22×C4×C11—22no—
402C22×C4×C11—22no—
403C22×C4×C11—22no—
404C22×C4×C11—22no—
405C22×C4×C11—22no—
406C22×C4×C11—22no—
407C22×C4×C11—22no—
408C22×C4×C11—41no—
409C22×C4×C11—41no—
410C22×C4×C11C2411yescharacteristic
411C22×C4×C11C2411yescharacteristic
412C22×C4×C11C2411yescharacteristic
413C22×C4×C11C2411yescharacteristic
414C22×C4×C11C2411yescharacteristic
415C22×C4×C11C2411yescharacteristic
416C22×C4×C11C2411yescharacteristic
417C22×C4×C11C2411yescharacteristic
418C22×C4×C11C2411yescharacteristic
419C22×C4×C11C2411yescharacteristic
420C22×C4×C11C2411yescharacteristic
421C22×C4×C11C2411yescharacteristic
422C22×C4×C11C2411yescharacteristic
423C2×C22⋊D11—22no—
424C2×C22⋊D11—22no—
425C2×C22⋊D11—22no—
426C2×C22⋊D11—22no—
427C2×C22⋊D11—22no—
428C2×C22⋊D11—22no—
429C2×C22⋊D11—22no—
430C2×C22⋊D11—22no—
431C2×C22⋊D11—41no—
432C2×C22⋊D11—41no—
433C2×C22⋊D11—41no—
434C2×C22⋊D11#4114yes—
435C22×Dic11—22no—
436C22×Dic11—22no—
437C22×Dic11—22no—
438C22×Dic11—22no—
439C22×Dic11—22no—
440C22×Dic11—22no—
441C22×Dic11—22no—
442C22×Dic11—22no—
443C22×Dic11—22no—
444C22×Dic11—41no—
445C22×Dic11—41no—
446C22×Dic11#4114yes—
447C22×Dic11C2411yescharacteristic
448C22×Dic11C2411yescharacteristic
449C22×Dic11C2411yescharacteristic
450C22×Dic11C2411yescharacteristic
451C22×Dic11C2411yescharacteristic
452C22×Dic11C2411yescharacteristic
453C22×Dic11C2411yescharacteristic
454C22×Dic11C2411yescharacteristic
455C22×Dic11C2411yescharacteristic
456C22×Dic11C2411yescharacteristic
457C22×Dic11C2411yescharacteristic
458C22×Dic11C2411yescharacteristic
459C22×Dic11C2411yescharacteristic
460C2×D44—22no—
461C2×D44—22no—
462C2×D44—22no—
463C2×D44—22no—
464C2×D44—41no—
465C2×D44—41no—
466C2×C4×D11—232no—
467C2×C4×D11—22no—
468C2×C4×D11—22no—
469C2×C4×D11—22no—
470C2×C4×D11—22no—
471C2×C4×D11—22no—
472C2×C4×D11—22no—
473C2×C4×D11—22no—
474C2×C4×D11—22no—
475C2×C4×D11—22no—
476C2×C4×D11—22no—
477C2×C4×D11—22no—
478C2×C4×D11—22no—
479C2×C4×D11—22no—
480C2×C4×D11—22no—
481C2×C4×D11—22no—
482C2×C4×D11—22no—
483C2×C4×D11—22no—
484C2×C4×D11—41no—
485C2×C4×D11—41no—
486C2×C4×D11C2×D414yes—
487C2×C4×D11#4114yes—
488C2×Dic22—22no—
489C2×Dic22—22no—
490C2×Dic22—41no—
491C11×C4⋊C4—22no—
492C11×C4⋊C4—22no—
493C11×C4⋊C4—22no—
494C11×C4⋊C4—22no—
495C11×C4⋊C4—22no—
496C11×C4⋊C4—22no—
497C11×C4⋊C4—41no—
498C11×C4⋊C4C2×D414yes—
499C11×C22⋊C4—22no—
500C11×C22⋊C4—22no—
501C11×C22⋊C4—22no—
502C11×C22⋊C4—22no—
503C11×C22⋊C4—22no—
504C11×C22⋊C4—22no—
505C11×C22⋊C4—22no—
506C11×C22⋊C4—41no—
507C11×C22⋊C4—41no—
508C42×C11—22no—
509C42×C11—41no—
510C22⋊Dic11—22no—
511C22⋊Dic11—22no—
512C22⋊Dic11—22no—
513C22⋊Dic11—22no—
514C22⋊Dic11—22no—
515C22⋊Dic11—41no—
516C22⋊Dic11#4114yes—
517(C2×D11)⋊C4—22no—
518(C2×D11)⋊C4—22no—
519(C2×D11)⋊C4—22no—
520(C2×D11)⋊C4—22no—
521(C2×D11)⋊C4—22no—
522(C2×D11)⋊C4—22no—
523(C2×D11)⋊C4—22no—
524(C2×D11)⋊C4—22no—
525(C2×D11)⋊C4—22no—
526(C2×D11)⋊C4—22no—
527(C2×D11)⋊C4—22no—
528(C2×D11)⋊C4—22no—
529(C2×D11)⋊C4—22no—
530(C2×D11)⋊C4—22no—
531(C2×D11)⋊C4—22no—
532(C2×D11)⋊C4—22no—
533(C2×D11)⋊C4—22no—
534(C2×D11)⋊C4—22no—
535(C2×D11)⋊C4—22no—
536(C2×D11)⋊C4—22no—
537(C2×D11)⋊C4—22no—
538(C2×D11)⋊C4—41no—
539(C2×D11)⋊C4—41no—
540(C2×D11)⋊C4—41no—
541(C2×D11)⋊C4—41no—
542(C2×D11)⋊C4—41no—
543(C2×D11)⋊C4C2×D414yes—
544(C2×D11)⋊C4C2×D414yes—
545C4⋊Dic11—22no—
546C4⋊Dic11—22no—
547C4⋊Dic11—22no—
548C4⋊Dic11—22no—
549C4⋊Dic11—22no—
550C4⋊Dic11C2×D414yes—
551Dic11⋊C4—22no—
552Dic11⋊C4—22no—
553Dic11⋊C4—22no—
554Dic11⋊C4—22no—
555Dic11⋊C4—22no—
556Dic11⋊C4—22no—
557Dic11⋊C4—22no—
558Dic11⋊C4—22no—
559Dic11⋊C4—22no—
560Dic11⋊C4—22no—
561Dic11⋊C4—22no—
562Dic11⋊C4—22no—
563Dic11⋊C4—22no—
564Dic11⋊C4—41no—
565Dic11⋊C4—41no—
566Dic11⋊C4—41no—
567Dic11⋊C4—41no—
568Dic11⋊C4—41no—
569C4×Dic11—22no—
570C4×Dic11—22no—
571C4×Dic11—22no—
572C4×Dic11—22no—
573C4×Dic11—22no—
574C4×Dic11—22no—
575C4×Dic11—22no—
576C4×Dic11—22no—
577C4×Dic11—22no—
578C4×Dic11—22no—
579C4×Dic11—22no—
580C4×Dic11—22no—
581C4×Dic11—22no—
582C4×Dic11—22no—
583C4×Dic11—22no—
584C4×Dic11—41no—
585C4×Dic11C2×D414yes—
586C4×Dic11C2×D414yes—
587C2×#529—111no—
588C22×#117—111no—
589#2481D1111yescharacteristic, complemented
590#2480—111no—
591#2479—111no—
592#2478—111no—
593#2477—111no—
594#2476—111no—
595#2475—111no—
596#2474—111no—
597#2473—111no—
598#2472—111no—
599#2471—111no—
600#2470—111no—
601#2449—111no—
602#2443—111no—
603#2424—111no—
604#2418—111no—
605#2396—111no—
606#2395—111no—
607#2395—111no—
608#2392—111no—
609C4×C22⋊Q8—111no—
610C4×#121—111no—
611C4×#120—111no—
612C4×#120—111no—
613#2298—111no—
614#2293—111no—
615#2290—111no—
616#2290—111no—
617C42×D4—111no—
618C23×C11—21no—
619C23×C11—21no—
620C23×C11—21no—
621C23×C11—21no—
622C23×C11—21no—
623C23×C11—21no—
624C23×C11—21no—
625C23×C11—21no—
626C23×C11—21no—
627C23×C11—21no—
628C23×C11—21no—
629C23×C11C2×#4112yes—
630C23×C11C2×#4112yes—
631C23×C11C2×#4112yes—
632C23×C11C2511yescharacteristic
633C22×D11—28no—
634C22×D11—21no—
635C22×D11—21no—
636C22×D11—21no—
637C22×D11—21no—
638C22×D11—21no—
639C22×D11—21no—
640C22×D11—21no—
641C22×D11—21no—
642C22×D11—21no—
643C22×D11—21no—
644C22×D11—21no—
645C22×D11—21no—
646C22×D11—21no—
647C22×D11—21no—
648C22×D11—21no—
649C22×D11—21no—
650C22×D11—21no—
651C22×D11—21no—
652C22×D11—44no—
653C22×D11—44no—
654C22×D11—44no—
655C22×D11—44no—
656C22×D11—44no—
657C22×D11—44no—
658C22×D11C22×D412yes—
659C22×D11C2×#4112yes—
660C22×D11C2×#4112yes—
661D4×C11—44no—
662C2×C4×C11—28no—
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—21no—
673C2×C4×C11—21no—
674C2×C4×C11—21no—
675C2×C4×C11—21no—
676C2×C4×C11—21no—
677C2×C4×C11—21no—
678C2×C4×C11—21no—
679C2×C4×C11—21no—
680C2×C4×C11—21no—
681C2×C4×C11—21no—
682C2×C4×C11—21no—
683C2×C4×C11—21no—
684C2×C4×C11—21no—
685C2×C4×C11—21no—
686C2×C4×C11—21no—
687C2×C4×C11—21no—
688C2×C4×C11—21no—
689C2×C4×C11—21no—
690C2×C4×C11—21no—
691C2×C4×C11—21no—
692C2×C4×C11—21no—
693C2×C4×C11—21no—
694C2×C4×C11—21no—
695C2×C4×C11—21no—
696C2×C4×C11—21no—
697C2×C4×C11—21no—
698C2×C4×C11—44no—
699C2×C4×C11—44no—
700C2×C4×C11C22×D412yes—
701C2×C4×C11C22×D412yes—
702C2×C4×C11C22×D412yes—
703C2×C4×C11C2×#4112yes—
704C22⋊D11—28no—
705C22⋊D11—44no—
706C22⋊D11—44no—
707C22⋊D11—44no—
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—21no—
720C2×Dic11—28no—
721C2×Dic11—21no—
722C2×Dic11—21no—
723C2×Dic11—21no—
724C2×Dic11—21no—
725C2×Dic11—21no—
726C2×Dic11—21no—
727C2×Dic11—21no—
728C2×Dic11—21no—
729C2×Dic11—21no—
730C2×Dic11—21no—
731C2×Dic11—21no—
732C2×Dic11—21no—
733C2×Dic11—21no—
734C2×Dic11—21no—
735C2×Dic11—21no—
736C2×Dic11—21no—
737C2×Dic11—21no—
738C2×Dic11—21no—
739C2×Dic11—44no—
740C2×Dic11—44no—
741C2×Dic11—44no—
742C2×Dic11C22×D412yes—
743C2×Dic11C22×D412yes—
744C2×Dic11C22×D412yes—
745C2×Dic11C2×#4112yes—
746C2×Dic11C2×#4112yes—
747C2×Dic11C2×#4112yes—
748C2×Dic11C2×#4112yes—
749C2×Dic11C2×#4112yes—
750C2×Dic11C2×#4112yes—
751D44—44no—
752D44—44no—
753C4×D11—28no—
754C4×D11—28no—
755C4×D11—28no—
756C4×D11—28no—
757C4×D11—44no—
758C4×D11—44no—
759C4×D11—44no—
760Dic22—44no—
761C24×C4—111no—
762#529—228no—
763C2×#126—111no—
764C2×#126C2×D1111yescharacteristic, complemented
765C2×#125—111no—
766C2×#124—111no—
767C2×#123—111no—
768C2×#123—111no—
769C2×C22⋊Q8—111no—
770C2×C22⋊Q8—111no—
771C2×#121—111no—
772C2×#121—111no—
773C2×#120—111no—
774C2×#120—111no—
775C2×C4×Q8—111no—
776C2×C4×D4—111no—
777C2×C4×D4—111no—
778C2×C4×D4—111no—
779C2×C4×D4—111no—
780C2×C4×D4—111no—
781C2×C4×D4—111no—
782C2×C4×D4—111no—
783C2×C4×D4—111no—
784C2×C4×D4—111no—
785C2×#117—111no—
786C2×#117—111no—
787C2×#117—111no—
788C2×#117—111no—
789C2×#117—111no—
790C2×#117—111no—
791C2×#117—111no—
792C2×#117—111no—
793C2×#117—111no—
794C2×#117—228no—
795C22×C4⋊C4—111no—
796C22×C4⋊C4C2×D1111yescharacteristic
797C22×C22⋊C4—111no—
798C22×C22⋊C4—111no—
799C22×C42—111no—
800C22×C42—111no—
801C22×C42—111no—
802#400—111no—
803#400C2×D1111yescharacteristic, complemented
804#400C2×D1111yescharacteristic, complemented
805#399—111no—
806#399—111no—
807#399—111no—
808#398—111no—
809#398—111no—
810#398—111no—
811#398—111no—
812#398—111no—
813#397—111no—
814#397—111no—
815#397—111no—
816#397—111no—
817#397—111no—
818#397—111no—
819#397C2×D1111yescharacteristic, complemented
820#396—111no—
821#396—111no—
822#396—111no—
823#396C2×D1111yescharacteristic, complemented
824#395—111no—
825#394—111no—
826#394—111no—
827#394—111no—
828#394—111no—
829#394—111no—
830#394—111no—
831#394—111no—
832#393—111no—
833#392—111no—
834#391—111no—
835#390—111no—
836#390—111no—
837#390—111no—
838#389—111no—
839#389—111no—
840#389—111no—
841#389—111no—
842#388—111no—
843#388—111no—
844#388—111no—
845#388—111no—
846#388—111no—
847#388—111no—
848#388—111no—
849#388—111no—
850#388—111no—
851#388—111no—
852#388—111no—
853#388—111no—
854#388—111no—
855#388C2×D1111yescharacteristic, complemented
856#387—111no—
857#387—111no—
858#387—111no—
859#387—111no—
860#387—111no—
861#387—111no—
862#387—111no—
863#387—111no—
864#387C2×D1111yescharacteristic, complemented
865#387C2×D1111yescharacteristic, complemented
866#386—111no—
867#386—111no—
868#386—111no—
869#386—111no—
870#386—111no—
871#386—111no—
872#386—111no—
873#386—111no—
874#386—111no—
875#386C2×D1111yescharacteristic
876#386C2×D1111yescharacteristic
877#386C2×D1111yescharacteristic
878#385—111no—
879#385—111no—
880#385—111no—
881#385—111no—
882#385—111no—
883#385—111no—
884#385—111no—
885#385—111no—
886#385—111no—
887#385—111no—
888#385—111no—
889#385C2×D1111yescharacteristic
890#380—111no—
891#380C2×D1111yescharacteristic
892#379—111no—
893#379—111no—
894C4×C4⋊C4—111no—
895C4×C4⋊C4—111no—
896C4×C4⋊C4—111no—
897C4×C4⋊C4—111no—
898C4×C4⋊C4—111no—
899C4×C4⋊C4—111no—
900C4×C4⋊C4—111no—
901C4×C4⋊C4—111no—
902C4×C22⋊C4—111no—
903C4×C22⋊C4—111no—
904C4×C22⋊C4—111no—
905C4×C22⋊C4—111no—
906C4×C22⋊C4—111no—
907C4×C22⋊C4—111no—
908C4×C22⋊C4—111no—
909C4×C22⋊C4—111no—
910C4×C22⋊C4—111no—
911C4×C22⋊C4—111no—
912C4×C22⋊C4—111no—
913C4×C22⋊C4—111no—
914C4×C22⋊C4—111no—
915C4×C22⋊C4C2×D1111yescharacteristic
916#376—111no—
917C43—111no—
918C22×C11—22no—
919C22×C11—22no—
920C22×C11—22no—
921C22×C11—22no—
922C22×C11—22no—
923C22×C11—22no—
924C22×C11—41no—
925C22×C11—41no—
926C22×C11—41no—
927C22×C11—41no—
928C22×C11—41no—
929C22×C11—41no—
930C22×C11—41no—
931C22×C11#52914yescomplemented
932C22×C11C23×D411yescharacteristic
933C22×C11C22×#4111yescharacteristic
934C22×C11C22×#4111yescharacteristic
935C22×C11C22×#4111yescharacteristic
936C22×C11C22×#4111yescharacteristic
937C22×C11#58511yescharacteristic
938C22×C11#58511yescharacteristic
939C2×D11—22no—
940C2×D11—22no—
941C2×D11—22no—
942C2×D11—22no—
943C2×D11—22no—
944C2×D11—22no—
945C2×D11—22no—
946C2×D11—22no—
947C2×D11—22no—
948C2×D11—416no—
949C2×D11—41no—
950C2×D11—41no—
951C2×D11—41no—
952C2×D11—41no—
953C2×D11—41no—
954C2×D11—41no—
955C2×D11—41no—
956C2×D11—41no—
957C2×D11—41no—
958C2×D11—41no—
959C2×D11—41no—
960C2×D11—41no—
961C4×C11—22no—
962C4×C11—22no—
963C4×C11—22no—
964C4×C11—22no—
965C4×C11—41no—
966C4×C11—41no—
967C4×C11—41no—
968C4×C11—41no—
969C4×C11—41no—
970C4×C11—41no—
971C4×C11—41no—
972C4×C11—41no—
973C4×C11—41no—
974Dic11—22no—
975Dic11—22no—
976Dic11—22no—
977Dic11—22no—
978Dic11—22no—
979Dic11—22no—
980Dic11—41no—
981Dic11—41no—
982Dic11—41no—
983Dic11—41no—
984Dic11—41no—
985Dic11—41no—
986Dic11#52514yes—
987C25—111no—
988C22×Q8—111no—
989C22×D4—111no—
990C22×D4—111no—
991C22×D4—111no—
992C22×D4—111no—
993C22×D4—111no—
994C22×D4—111no—
995C22×D4C22×D1111yescharacteristic
996C23×C4—111no—
997C23×C4—111no—
998C23×C4—111no—
999C23×C4—111no—
1000C23×C4—111no—
1001C23×C4—111no—
1002C23×C4—111no—
1003C23×C4—111no—
1004C23×C4—111no—
1005C23×C4—111no—
1006C23×C4—111no—
1007C23×C4—224no—
1008C23×C4—224no—
1009C23×C4—224no—
1010C23×C4C22×D1111yescharacteristic
1011C23×C4C22×D1111yescharacteristic
1012C23×C4C22×D1111yescharacteristic
1013#126—24no—
1014#126—224no—
1015#125—224no—
1016#124—224no—
1017#123—224no—
1018#123—224no—
1019C22⋊Q8—224no—
1020C22⋊Q8—224no—
1021#121—224no—
1022#121—224no—
1023#120—224no—
1024#120—224no—
1025C4×Q8—224no—
1026C4×D4—224no—
1027C4×D4—224no—
1028C4×D4—224no—
1029C4×D4—224no—
1030C4×D4—224no—
1031C4×D4—224no—
1032C4×D4—224no—
1033C4×D4—224no—
1034C4×D4—224no—
1035#117—118no—
1036#117—224no—
1037#117—224no—
1038#117—224no—
1039#117—224no—
1040#117—224no—
1041#117—224no—
1042#117—224no—
1043#117—224no—
1044C2×C4⋊C4—24no—
1045C2×C4⋊C4—111no—
1046C2×C4⋊C4—111no—
1047C2×C4⋊C4—111no—
1048C2×C4⋊C4—111no—
1049C2×C4⋊C4—111no—
1050C2×C4⋊C4—111no—
1051C2×C4⋊C4—111no—
1052C2×C4⋊C4—111no—
1053C2×C4⋊C4—111no—
1054C2×C4⋊C4—111no—
1055C2×C4⋊C4—111no—
1056C2×C4⋊C4—111no—
1057C2×C4⋊C4—111no—
1058C2×C4⋊C4—111no—
1059C2×C4⋊C4—111no—
1060C2×C4⋊C4—111no—
1061C2×C4⋊C4—111no—
1062C2×C4⋊C4—111no—
1063C2×C4⋊C4—111no—
1064C2×C4⋊C4—111no—
1065C2×C4⋊C4—111no—
1066C2×C4⋊C4—111no—
1067C2×C4⋊C4—111no—
1068C2×C4⋊C4—111no—
1069C2×C4⋊C4—224no—
1070C2×C4⋊C4C22×D1111yescharacteristic
1071C2×C4⋊C4C22×D1111yescharacteristic
1072C2×C4⋊C4C22×D1111yescharacteristic
1073C2×C4⋊C4C22×D1111yescharacteristic
1074C2×C4⋊C4C22×D1111yescharacteristic
1075C2×C4⋊C4C22×D1111yescharacteristic
1076C2×C4⋊C4C22×D1111yescharacteristic
1077C2×C4⋊C4C22×D1111yescharacteristic
1078C2×C22⋊C4—111no—
1079C2×C22⋊C4—111no—
1080C2×C22⋊C4—111no—
1081C2×C22⋊C4—111no—
1082C2×C22⋊C4—111no—
1083C2×C22⋊C4—111no—
1084C2×C22⋊C4—111no—
1085C2×C22⋊C4—111no—
1086C2×C22⋊C4—111no—
1087C2×C22⋊C4—111no—
1088C2×C22⋊C4—111no—
1089C2×C22⋊C4—111no—
1090C2×C22⋊C4—111no—
1091C2×C22⋊C4—111no—
1092C2×C22⋊C4—111no—
1093C2×C22⋊C4—111no—
1094C2×C22⋊C4—111no—
1095C2×C22⋊C4—111no—
1096C2×C22⋊C4—111no—
1097C2×C22⋊C4—111no—
1098C2×C22⋊C4—111no—
1099C2×C22⋊C4—111no—
1100C2×C22⋊C4—111no—
1101C2×C22⋊C4—111no—
1102C2×C22⋊C4—111no—
1103C2×C22⋊C4—111no—
1104C2×C22⋊C4—111no—
1105C2×C22⋊C4—111no—
1106C2×C22⋊C4—111no—
1107C2×C22⋊C4—111no—
1108C2×C22⋊C4—111no—
1109C2×C22⋊C4—111no—
1110C2×C22⋊C4—111no—
1111C2×C22⋊C4—111no—
1112C2×C22⋊C4—111no—
1113C2×C22⋊C4—224no—
1114C2×C22⋊C4—224no—
1115C2×C22⋊C4C22×D1111yescharacteristic
1116C2×C22⋊C4C22×D1111yescharacteristic
1117C2×C22⋊C4C22×D1111yescharacteristic
1118C2×C22⋊C4C22×D1111yescharacteristic
1119C2×C22⋊C4C22×D1111yescharacteristic
1120C2×C22⋊C4C22×D1111yescharacteristic
1121C2×C22⋊C4C22×D1111yescharacteristic
1122C2×C22⋊C4C22×D1111yescharacteristic
1123C2×C22⋊C4C22×D1111yescharacteristic
1124C2×C42—111no—
1125C2×C42—111no—
1126C2×C42—111no—
1127C2×C42—111no—
1128C2×C42—111no—
1129C2×C42—111no—
1130C2×C42—111no—
1131C2×C42—111no—
1132C2×C42—111no—
1133C2×C42—111no—
1134C2×C42—111no—
1135C2×C42—111no—
1136C2×C42—111no—
1137C2×C42—111no—
1138C2×C42—111no—
1139C2×C42—111no—
1140C2×C42—111no—
1141C2×C42—111no—
1142C2×C42—224no—
1143C2×C42—224no—
1144C2×C42—224no—
1145C2×C42C22×D1111yescharacteristic
1146C2×C42C22×D1111yescharacteristic
1147#95—111no—
1148#95—111no—
1149#95—111no—
1150#95—111no—
1151#95—111no—
1152#95—111no—
1153#95—111no—
1154#95—111no—
1155#95—111no—
1156#95—111no—
1157#95—111no—
1158#95—111no—
1159#95—111no—
1160#95—111no—
1161#95—111no—
1162#95—111no—
1163#95—111no—
1164#95—111no—
1165#95—111no—
1166#95—111no—
1167#95—111no—
1168#95—111no—
1169#95—111no—
1170#95—111no—
1171#95C22×D1111yescharacteristic
1172#95C22×D1111yescharacteristic
1173#95C22×D1111yescharacteristic
1174#95C22×D1111yescharacteristic
1175#95C22×D1111yescharacteristic
1176#95C22×D1111yescharacteristic
1177#95C22×D1111yescharacteristic
1178#95C22×D1111yescharacteristic
1179#95C22×D1111yescharacteristic
1180#95C22×D1111yescharacteristic
1181#95C22×D1111yescharacteristic
1182#95C22×D1111yescharacteristic
1183C2×C11—24no—
1184C2×C11—81no—
1185C2×C11C2×#52511yescharacteristic
1186C2×C11C2×#52911yescharacteristic
1187C2×C11#345511yescharacteristic
1188C2×C11D4×#4111yescharacteristic
1189C2×C11D4×#4111yescharacteristic
1190C2×C11#347511yescharacteristic
1191C2×C11#347511yescharacteristic
1192D11—42no—
1193D11—42no—
1194D11—42no—
1195C24—111no—
1196C24—111no—
1197C24—111no—
1198C24—222no—
1199C24—222no—
1200C24—222no—
1201C24—222no—
1202C24—222no—
1203C24—441no—
1204C24—441no—
1205C24C23×D1111yescharacteristic
1206C24C23×D1111yescharacteristic
1207C2×Q8—222no—
1208C2×Q8—222no—
1209C2×Q8—441no—
1210C2×D4—22no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—114no—
1214C2×D4—222no—
1215C2×D4—222no—
1216C2×D4—222no—
1217C2×D4—222no—
1218C2×D4—222no—
1219C2×D4—222no—
1220C2×D4—222no—
1221C2×D4—222no—
1222C2×D4—222no—
1223C2×D4—222no—
1224C2×D4—222no—
1225C2×D4—222no—
1226C2×D4—441no—
1227C2×D4—441no—
1228C2×D4—441no—
1229C2×D4—441no—
1230C2×D4—441no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—41no—
1239C22×C4—41no—
1240C22×C4—111no—
1241C22×C4—114no—
1242C22×C4—111no—
1243C22×C4—111no—
1244C22×C4—111no—
1245C22×C4—111no—
1246C22×C4—111no—
1247C22×C4—111no—
1248C22×C4—114no—
1249C22×C4—114no—
1250C22×C4—111no—
1251C22×C4—111no—
1252C22×C4—111no—
1253C22×C4—111no—
1254C22×C4—111no—
1255C22×C4—111no—
1256C22×C4—222no—
1257C22×C4—222no—
1258C22×C4—222no—
1259C22×C4—222no—
1260C22×C4—222no—
1261C22×C4—222no—
1262C22×C4—222no—
1263C22×C4—222no—
1264C22×C4—222no—
1265C22×C4—222no—
1266C22×C4—222no—
1267C22×C4—222no—
1268C22×C4—222no—
1269C22×C4—2232no—
1270C22×C4—222no—
1271C22×C4—222no—
1272C22×C4—222no—
1273C22×C4—222no—
1274C22×C4—222no—
1275C22×C4—222no—
1276C22×C4—222no—
1277C22×C4—222no—
1278C22×C4—222no—
1279C22×C4—222no—
1280C22×C4—222no—
1281C22×C4—222no—
1282C22×C4—222no—
1283C22×C4—441no—
1284C22×C4—441no—
1285C22×C4—441no—
1286C22×C4—441no—
1287C22×C4C23×D1111yescharacteristic
1288C22×C4C23×D1111yescharacteristic
1289C22×C4C23×D1111yescharacteristic
1290C22×C4C23×D1111yescharacteristic
1291C22×C4C23×D1111yescharacteristic
1292C22×C4C23×D1111yescharacteristic
1293C22×C4C23×D1111yescharacteristic
1294C22×C4C23×D1111yescharacteristic
1295C22×C4C23×D1111yescharacteristic
1296C22×C4C23×D1111yescharacteristic
1297C22×C4C23×D1111yescharacteristic
1298C22×C4C23×D1111yescharacteristic
1299C22×C4C23×D1111yescharacteristic
1300C4⋊C4—22no—
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—41no—
1307C4⋊C4—114no—
1308C4⋊C4—222no—
1309C4⋊C4—222no—
1310C4⋊C4—222no—
1311C4⋊C4—222no—
1312C4⋊C4—222no—
1313C4⋊C4—222no—
1314C4⋊C4—222no—
1315C4⋊C4—222no—
1316C4⋊C4—222no—
1317C4⋊C4—222no—
1318C4⋊C4—222no—
1319C4⋊C4—222no—
1320C4⋊C4—222no—
1321C4⋊C4—222no—
1322C4⋊C4—222no—
1323C4⋊C4—222no—
1324C4⋊C4—222no—
1325C4⋊C4—222no—
1326C4⋊C4—441no—
1327C4⋊C4—441no—
1328C4⋊C4—441no—
1329C4⋊C4—441no—
1330C4⋊C4—441no—
1331C4⋊C4D4×D1114yes—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—114no—
1342C22⋊C4—114no—
1343C22⋊C4—114no—
1344C22⋊C4—222no—
1345C22⋊C4—222no—
1346C22⋊C4—222no—
1347C22⋊C4—222no—
1348C22⋊C4—222no—
1349C22⋊C4—222no—
1350C22⋊C4—222no—
1351C22⋊C4—222no—
1352C22⋊C4—222no—
1353C22⋊C4—222no—
1354C22⋊C4—222no—
1355C22⋊C4—222no—
1356C22⋊C4—222no—
1357C22⋊C4—222no—
1358C22⋊C4—222no—
1359C22⋊C4—222no—
1360C22⋊C4—222no—
1361C22⋊C4—222no—
1362C22⋊C4—222no—
1363C22⋊C4—222no—
1364C22⋊C4—222no—
1365C22⋊C4—222no—
1366C22⋊C4—222no—
1367C22⋊C4—222no—
1368C22⋊C4—222no—
1369C22⋊C4—222no—
1370C22⋊C4—441no—
1371C22⋊C4—441no—
1372C22⋊C4—441no—
1373C22⋊C4—441no—
1374C22⋊C4—441no—
1375C22⋊C4—441no—
1376C42—22no—
1377C42—41no—
1378C42—114no—
1379C42—114no—
1380C42—222no—
1381C42—222no—
1382C42—222no—
1383C42—222no—
1384C42—222no—
1385C42—222no—
1386C42—222no—
1387C42—222no—
1388C42—222no—
1389C42—222no—
1390C42—222no—
1391C42—222no—
1392C42—222no—
1393C42—222no—
1394C42—222no—
1395C42—441no—
1396C11#3474011yescharacteristic, complemented, Sylow
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—112no—
1409C23—112no—
1410C23—112no—
1411C23—228no—
1412C23—221no—
1413C23—221no—
1414C23—221no—
1415C23—221no—
1416C23—221no—
1417C23—221no—
1418C23—221no—
1419C23—221no—
1420C23—221no—
1421C23—221no—
1422C23—221no—
1423C23—221no—
1424C23—221no—
1425C23—221no—
1426C23—221no—
1427C23—221no—
1428C23—221no—
1429C23—221no—
1430C23—444no—
1431C23—444no—
1432C23—444no—
1433C23—444no—
1434C23—444no—
1435C23—444no—
1436C23#41×D1112yes—
1437C23#41×D1112yes—
1438C23#41×D1112yes—
1439C23C24×D1111yescharacteristic
1440Q8—444no—
1441D4—44no—
1442D4—228no—
1443D4—444no—
1444D4—444no—
1445D4—444no—
1446D4—444no—
1447D4—444no—
1448C2×C4—28no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—44no—
1485C2×C4—44no—
1486C2×C4—112no—
1487C2×C4—112no—
1488C2×C4—112no—
1489C2×C4—112no—
1490C2×C4—112no—
1491C2×C4—112no—
1492C2×C4—112no—
1493C2×C4—112no—
1494C2×C4—112no—
1495C2×C4—228no—
1496C2×C4—228no—
1497C2×C4—228no—
1498C2×C4—228no—
1499C2×C4—228no—
1500C2×C4—221no—
1501C2×C4—221no—
1502C2×C4—221no—
1503C2×C4—221no—
1504C2×C4—221no—
1505C2×C4—221no—
1506C2×C4—221no—
1507C2×C4—221no—
1508C2×C4—221no—
1509C2×C4—221no—
1510C2×C4—221no—
1511C2×C4—221no—
1512C2×C4—221no—
1513C2×C4—221no—
1514C2×C4—221no—
1515C2×C4—221no—
1516C2×C4—221no—
1517C2×C4—221no—
1518C2×C4—221no—
1519C2×C4—221no—
1520C2×C4—221no—
1521C2×C4—221no—
1522C2×C4—221no—
1523C2×C4—221no—
1524C2×C4—221no—
1525C2×C4—221no—
1526C2×C4—221no—
1527C2×C4—221no—
1528C2×C4—221no—
1529C2×C4—221no—
1530C2×C4—444no—
1531C2×C4—444no—
1532C2×C4—444no—
1533C2×C4—444no—
1534C2×C4—444no—
1535C2×C4—444no—
1536C2×C4C2×D4×D1112yes—
1537C2×C4C2×D4×D1112yes—
1538C2×C4C2×D4×D1112yes—
1539C2×C4#41×D1112yes—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—222no—
1554C22—222no—
1555C22—222no—
1556C22—222no—
1557C22—222no—
1558C22—222no—
1559C22—222no—
1560C22—222no—
1561C22—222no—
1562C22—4416no—
1563C22—441no—
1564C22—441no—
1565C22—441no—
1566C22—441no—
1567C22—441no—
1568C22—441no—
1569C22—441no—
1570C22—441no—
1571C22—441no—
1572C22—441no—
1573C22—441no—
1574C22—441no—
1575C22#1062323714yescomplemented
1576C22C22×D4×D1111yescharacteristic
1577C22C2×#41×D1111yescharacteristic
1578C22C2×#41×D1111yescharacteristic
1579C22C2×#41×D1111yescharacteristic
1580C22C2×#41×D1111yescharacteristic
1581C22#1062345511yescharacteristic
1582C22#1062345711yescharacteristic
1583C4—22no—
1584C4—22no—
1585C4—22no—
1586C4—22no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—114no—
1597C4—222no—
1598C4—222no—
1599C4—222no—
1600C4—222no—
1601C4—222no—
1602C4—222no—
1603C4—441no—
1604C4—441no—
1605C4—441no—
1606C4—441no—
1607C4—441no—
1608C4—441no—
1609C2—24no—
1610C2—81no—
1611C2—442no—
1612C2—442no—
1613C2—442no—
1614C2D11×#52511yescharacteristic
1615C2C2×#1062323711yescharacteristic
1616C2#1308200211yescharacteristic
1617C2#1308210011yescharacteristic
1618C2#1308210511yescharacteristic
1619C2#1308216911yescharacteristic
1620C2#1308217511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2481C2
prime radical#13072154C2
hypercenter#2481D11
hypocenterC11#34740
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2481

Complements

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

NH ≅ G/Ntype
1. C2×#10623237C2semidirect
2. C22×#66945C2semidirect
3. #13072862C2semidirect
4. #13072843C2semidirect
5. #13072836C2semidirect
6. #13072815C2semidirect
7. #13072808C2semidirect
8. #13072780C2semidirect
9. #13072773C2semidirect
10. #13072754C2semidirect
11. #13072747C2semidirect
12. #13072722C2semidirect
13. #13072715C2semidirect
14. #13072425C2semidirect
15. #13072357C2semidirect
17. #13072084C2semidirect
18. #13071889C2semidirect
19. #13071882C2semidirect
20. #13071878C2semidirect
21. #13071861C2semidirect
22. #13071144C2semidirect
23. #13071126C2semidirect
24. #13071121C2semidirect
25. #13071117C2semidirect
26. #13071108C2semidirect
27. #13071076C2semidirect
28. #13071056C2semidirect
29. #13071054C2semidirect
30. C4×(C22⋊D11)⋊C4C2semidirect
31. C11×#2481C2semidirect
33. C2×C11×#126C22semidirect
46. C2×#66949C22semidirect
59. C2×#66942C22semidirect
60. C2×#66940C22semidirect
63. C2×#66936C22semidirect
69. C2×(C22⋊D11)⋊C4C22semidirect
70. C2×#66930C22semidirect
72. C2×C42×D11C22semidirect
73. C11×#400C22semidirect
74. C11×#400C22semidirect
75. C11×#397C22semidirect
76. C11×#396C22semidirect
77. C11×#388C22semidirect
78. C11×#387C22semidirect
79. C11×#387C22semidirect
91. #10622607C22semidirect
93. #10622605C22semidirect
98. #10622602C22semidirect
99. #10622597C22semidirect
100. #10622596C22semidirect
101. #10622594C22semidirect
102. #10622594C22semidirect
103. #10622593C22semidirect
104. #10622592C22semidirect
105. C4⋊C4×Dic11C22semidirect
106. #10622587C22semidirect
107. #10622586C22semidirect
108. #10622585C22semidirect
110. #10622574C22semidirect
116. #10622570C22semidirect
121. #10622564C22semidirect
122. #10622562C22semidirect
126. #10622558C22semidirect
127. #10622557C22semidirect
128. #10622557C22semidirect
133. C22⋊C4×Dic11C22semidirect
134. C22⋊C4×Dic11C22semidirect
138. C4×(C2×D11)⋊C4C22semidirect
139. C4×Dic11⋊C4C22semidirect
140. C42×Dic11C22semidirect
148. #10622287C22semidirect
153. #10622283C22semidirect
159. #10622281C22semidirect
164. #10622279C22semidirect
165. #10622279C22semidirect
166. #10622279C22semidirect
171. #10622272C22semidirect
172. #10622270C22semidirect
173. #10622270C22semidirect
174. #10622267C22semidirect
175. #10622267C22semidirect
176. #10622266C22semidirect
177. #10622266C22semidirect
178. #10622265C22semidirect
179. #10622265C22semidirect
180. #10622262C22semidirect
181. #10622262C22semidirect
182. #10622262C22semidirect
183. #10622262C22semidirect
184. #10622262C22semidirect
185. #10622262C22semidirect
186. #10622261C22semidirect
187. #10622260C22semidirect
188. #10622260C22semidirect
334. #66945D4semidirect
589. #2481D11semidirect
764. C2×#126C2×D11semidirect
803. #400C2×D11semidirect
804. #400C2×D11semidirect
819. #397C2×D11semidirect
823. #396C2×D11semidirect
855. #388C2×D11semidirect
864. #387C2×D11semidirect
865. #387C2×D11semidirect
931. C22×C11#529semidirect
1396. C11#34740semidirect
1575. C22#10623237semidirect

Maximal subgroups

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

subgroupindex
C2×#106232372
C22×#669452
#130728622
#130728432
#130728362
#130728152
#130728082
#130727802
#130727732
#130727542
#130727472
#130727222
#130727152
#130724252
#130723572
#130721542
#130720842
#130718892
#130718822
#130718782
#130718612
#130711442
#130711262
#130711212
#130711172
#130711082
#130710762
#130710562
#130710542
C4×(C22⋊D11)⋊C42
C11×#24812
#3474011