Finite Group Databasebeta

← #14925947

Subgroups — #14925947

Order 2816.

2296 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
1#13074163C211yesmaximal, characteristic, complemented
2#13074130C211yesmaximal, characteristic, complemented
3#13074071C211yesmaximal, characteristic, complemented
4#13074038C211yesmaximal, characteristic, complemented
5#13073946C211yesmaximal, characteristic, complemented
6#13073913C211yesmaximal, characteristic, complemented
7#13073749C211yesmaximal, characteristic, complemented
8#13073716C211yesmaximal, characteristic, complemented
9#13073176C211yesmaximal, characteristic, complemented
10#13073123C211yesmaximal, characteristic, complemented
11#13072864C211yesmaximal, characteristic, complemented
12#13072749C211yesmaximal, characteristic, complemented
13#13072364C211yesmaximal, characteristic, complemented
14#13072146C211yesmaximal, characteristic
15#13072076C211yesmaximal, characteristic, complemented
16#13071915C211yesmaximal, characteristic, complemented
17#13071898C211yesmaximal, characteristic, complemented
18#13071880C211yesmaximal, characteristic, complemented
19#13071861C211yesmaximal, characteristic, complemented
20#13071166C211yesmaximal, characteristic, complemented
21#13071159C211yesmaximal, characteristic, complemented
22C22⋊Q8×Dic11C211yesmaximal, characteristic, complemented
23#13071135C211yesmaximal, characteristic, complemented
24#13071126C211yesmaximal, characteristic, complemented
25#13071122C211yesmaximal, characteristic, complemented
26#13071121C211yesmaximal, characteristic, complemented
27#13071117C211yesmaximal, characteristic, complemented
28#13071052C211yesmaximal, characteristic, complemented
29C4×D4×Dic11C211yesmaximal, characteristic, complemented
30C2×#10622279C211yesmaximal, characteristic, complemented
31C11×#2450C211yesmaximal, characteristic, complemented
32C23×C4×D11C2211yescharacteristic
33C2×C11×C22⋊Q8C2211yescharacteristic
34C2×C4×D4×C11C2211yescharacteristic
35C2×#67000C2211yescharacteristic
36C2×Q8×Dic11C2211yescharacteristic, complemented
37C2×#66992C2211yescharacteristic
38C2×#66990C2211yescharacteristic
39C2×D4×Dic11C2211yescharacteristic
40C2×D4×Dic11C2211yescharacteristic
41C2×#66983C2211yescharacteristic
42C22×(C2×D11)⋊C4C2211yescharacteristic
43C22×(C2×D11)⋊C4C2211yescharacteristic
44C22×C4×Dic11C2211yescharacteristic
45C22×C4×Dic11C2211yescharacteristic
46C22×C4×Dic11C2211yescharacteristic, complemented
47C2×#66951C2211yescharacteristic
48C2×#66946C2211yescharacteristic
49C2×#66946C2211yescharacteristic
50C2×#66945C2211yescharacteristic, complemented
51C2×#66939C2211yescharacteristic
52C2×#66935C2211yescharacteristic
53C2×(C22⋊D11)⋊C4C2211yescharacteristic
54C2×(C22⋊D11)⋊C4C2211yescharacteristic
55C2×(C22⋊D11)⋊C4C2211yescharacteristic
56C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
57C11×#400C2211yescharacteristic, complemented
58C11×#398C2211yescharacteristic, complemented
59C11×#396C2211yescharacteristic, complemented
60C11×#393C2211yescharacteristic, complemented
61C11×#391C2211yescharacteristic, complemented
62C11×#387C2211yescharacteristic, complemented
63C11×#386C2211yescharacteristic
64C11×#386C2211yescharacteristic
65C11×#385C2211yescharacteristic
66C11×#385C2211yescharacteristic
67C11×#385C2211yescharacteristic, complemented
68C11×#380C2211yescharacteristic, complemented
69C2×C11×#95C2211yescharacteristic
70#10622844C2211yescharacteristic
71#10622843C2211yescharacteristic, complemented
72#10622826C2211yescharacteristic
73#10622826C2211yescharacteristic
74#10622826C2211yescharacteristic
75#10622826C2211yescharacteristic
76#10622825C2211yescharacteristic
77#10622823C2211yescharacteristic
78C4×C22⋊Dic11C2211yescharacteristic
79C4×C22⋊Dic11C2211yescharacteristic, complemented
80C2×C11⋊#95C2211yescharacteristic
81#10622607C2211yescharacteristic
82#10622607C2211yescharacteristic
83#10622606C2211yescharacteristic
84#10622606C2211yescharacteristic
85#10622604C2211yescharacteristic
86#10622604C2211yescharacteristic
87#10622604C2211yescharacteristic
88#10622603C2211yescharacteristic
89#10622603C2211yescharacteristic
90#10622603C2211yescharacteristic
91#10622603C2211yescharacteristic, complemented
92#10622602C2211yescharacteristic
93#10622602C2211yescharacteristic
94#10622601C2211yescharacteristic
95#10622599C2211yescharacteristic, complemented
96#10622598C2211yescharacteristic, complemented
97#10622597C2211yescharacteristic, complemented
98#10622594C2211yescharacteristic, complemented
99#10622594C2211yescharacteristic, complemented
100#10622591C2211yescharacteristic, complemented
101#10622590C2211yescharacteristic, complemented
102C4⋊C4×Dic11C2211yescharacteristic, complemented
103C4⋊C4×Dic11C2211yescharacteristic, complemented
104C4⋊C4×Dic11C2211yescharacteristic, complemented
105C4⋊C4×Dic11C2211yescharacteristic, complemented
106C4⋊C4×Dic11C2211yescharacteristic, complemented
107C4⋊C4×Dic11C2211yescharacteristic, complemented
108#10622586C2211yescharacteristic, complemented
109#10622574C2211yescharacteristic
110#10622574C2211yescharacteristic
111#10622574C2211yescharacteristic
112#10622574C2211yescharacteristic, complemented
113#10622573C2211yescharacteristic
114#10622571C2211yescharacteristic
115#10622571C2211yescharacteristic
116#10622571C2211yescharacteristic, complemented
117#10622570C2211yescharacteristic, complemented
118#10622569C2211yescharacteristic
119#10622569C2211yescharacteristic
120#10622568C2211yescharacteristic
121#10622568C2211yescharacteristic
122#10622566C2211yescharacteristic, complemented
123#10622563C2211yescharacteristic
124#10622563C2211yescharacteristic
125#10622563C2211yescharacteristic
126#10622557C2211yescharacteristic, complemented
127#10622556C2211yescharacteristic, complemented
128#10622555C2211yescharacteristic
129C22⋊C4×Dic11C2211yescharacteristic
130C22⋊C4×Dic11C2211yescharacteristic
131C22⋊C4×Dic11C2211yescharacteristic
132C22⋊C4×Dic11C2211yescharacteristic, complemented
133C22⋊C4×Dic11C2211yescharacteristic, complemented
134C22⋊C4×Dic11C2211yescharacteristic, complemented
135#10622553C2211yescharacteristic
136#10622552C2211yescharacteristic
137C4×C4⋊Dic11C2211yescharacteristic, complemented
138C42×Dic11C2211yescharacteristic, complemented
139#10622290C2211yescharacteristic
140#10622288C2211yescharacteristic
141#10622288C2211yescharacteristic, complemented
142#10622287C2211yescharacteristic
143#10622287C2211yescharacteristic
144#10622287C2211yescharacteristic, complemented
145#10622287C2211yescharacteristic, complemented
146#10622283C2211yescharacteristic
147#10622283C2211yescharacteristic
148#10622283C2211yescharacteristic
149#10622283C2211yescharacteristic, complemented
150#10622283C2211yescharacteristic, complemented
151#10622283C2211yescharacteristic, complemented
152#10622283C2211yescharacteristic, complemented
153#10622282C2211yescharacteristic
154#10622282C2211yescharacteristic, complemented
155#10622281C2211yescharacteristic
156#10622281C2211yescharacteristic
157#10622279C2211yescharacteristic
158#10622279C2211yescharacteristic
159#10622279C2211yescharacteristic
160#10622279C2211yescharacteristic
161#10622279C2211yescharacteristic
162#10622279C2211yescharacteristic
163#10622279C2211yescharacteristic
164#10622279C2211yescharacteristic
165#10622279C2211yescharacteristic
166#10622279C2211yescharacteristic
167#10622279C2211yescharacteristic
168#10622279C2211yescharacteristic
169#10622279C2211yescharacteristic, complemented
170#10622279C2211yescharacteristic, complemented
171#10622278C2211yescharacteristic
172#10622278C2211yescharacteristic
173C11⋊#401C2211yescharacteristic, complemented
174#10622273C2211yescharacteristic, complemented
175#10622273C2211yescharacteristic, complemented
176#10622273C2211yescharacteristic, complemented
177#10622272C2211yescharacteristic, complemented
178#10622268C2211yescharacteristic, complemented
179#10622268C2211yescharacteristic, complemented
180#10622267C2211yescharacteristic, complemented
181#10622267C2211yescharacteristic, complemented
182#10622266C2211yescharacteristic, complemented
183#10622264C2211yescharacteristic, complemented
184#10622262C2211yescharacteristic, complemented
185#10622261C2211yescharacteristic, complemented
186#10622260C2211yescharacteristic, complemented
187C24×D11C2311yescharacteristic
188C22×Q8×C11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C23×C4×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
202C23×Dic11C2311yescharacteristic
203C22×D44C2311yescharacteristic
204C22×D44C2311yescharacteristic
205C22×C4×D11—24no—
206C22×C4×D11—42no—
207C22×C4×D11—42no—
208C22×C4×D11C2311yescharacteristic
209C22×C4×D11C2311yescharacteristic
210C22×C4×D11C2311yescharacteristic
211C22×C4×D11C2311yescharacteristic
212C22×C4×D11C2311yescharacteristic
213C11×C22⋊Q8—24no—
214C4×D4×C11—24no—
215C2×C11×C4⋊C4C2311yescharacteristic
216C2×C11×C4⋊C4C2311yescharacteristic
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×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×C42×C11C2311yescharacteristic
232C2×C22⋊Dic11C2311yescharacteristic
233C2×C22⋊Dic11C2311yescharacteristic
234C2×C22⋊Dic11C2311yescharacteristic
235C2×C22⋊Dic11C2311yescharacteristic
236C2×C22⋊Dic11C2311yescharacteristic
237C2×C22⋊Dic11C2311yescharacteristic
238#67000—24no—
239Q8×Dic11—42no—
240#66992—24no—
241#66990—24no—
242D4×Dic11—24no—
243D4×Dic11—24no—
244#66983—24no—
245C2×(C2×D11)⋊C4—24no—
246C2×(C2×D11)⋊C4—24no—
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×C4⋊Dic11C2311yescharacteristic
278C2×C4⋊Dic11C2311yescharacteristic
279C2×C4⋊Dic11C2311yescharacteristic
280C2×C4⋊Dic11C2311yescharacteristic
281C2×C4⋊Dic11C2311yescharacteristic
282C2×C4⋊Dic11C2311yescharacteristic
283C2×C4⋊Dic11C2311yescharacteristic
284C2×C4⋊Dic11C2311yescharacteristic
285C2×C4⋊Dic11C2311yescharacteristic
286C2×C4⋊Dic11C2311yescharacteristic
287C2×Dic11⋊C4C2311yescharacteristic
288C2×Dic11⋊C4C2311yescharacteristic
289C2×Dic11⋊C4C2311yescharacteristic
290C2×Dic11⋊C4C2311yescharacteristic
291C2×Dic11⋊C4C2311yescharacteristic
292C2×Dic11⋊C4C2311yescharacteristic
293C2×C4×Dic11—42no—
294C2×C4×Dic11—42no—
295C2×C4×Dic11—42no—
296C2×C4×Dic11C2311yescharacteristic
297C2×C4×Dic11C2311yescharacteristic
298C2×C4×Dic11C2311yescharacteristic
299C2×C4×Dic11C2311yescharacteristic
300C2×C4×Dic11C2311yescharacteristic
301C2×C4×Dic11C2311yescharacteristic
302C2×C4×Dic11C2311yescharacteristic
303C2×C4×Dic11C2311yescharacteristic
304C2×C4×Dic11C2311yescharacteristic
305C2×C4×Dic11C2311yescharacteristic
306C2×C4×Dic11C2311yescharacteristic
307C2×C4×Dic11C2311yescharacteristic
308C2×C4×Dic11C2311yescharacteristic
309C2×C4×Dic11C2311yescharacteristic
310C2×C4×Dic11C2311yescharacteristic
311C2×C4×Dic11C2311yescharacteristic
312C2×C4×Dic11C2311yescharacteristic
313C2×C4×Dic11C2311yescharacteristic
314C2×C4×Dic11C2311yescharacteristic
315#66951—24no—
316#66946—42no—
317#66946—42no—
318#66945—42no—
319#66939—24no—
320#66935—24no—
321(C22⋊D11)⋊C4—24no—
322(C22⋊D11)⋊C4—42no—
323(C22⋊D11)⋊C4—42no—
324(C22⋊D11)⋊C4—42no—
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
357C11⋊#95C2311yescharacteristic
358C11⋊#95C2311yescharacteristic
359C11⋊#95C2311yescharacteristic
360C11⋊#95C2311yescharacteristic
361C11⋊#95C2311yescharacteristic
362C11⋊#95C2311yescharacteristic
363C11⋊#95C2311yescharacteristic
364C11⋊#95C2311yescharacteristic
365C11⋊#95C2311yescharacteristic
366C11⋊#95C2311yescharacteristic
367C11⋊#95C2311yescharacteristic
368C11⋊#95C2311yescharacteristic
369#34959—111nomaximal, Sylow
370C24×C11C2411yescharacteristic
371C24×C11C2411yescharacteristic
372C23×D11—22no—
373C23×D11—22no—
374C23×D11—22no—
375C23×D11—22no—
376C23×D11—22no—
377C23×D11—41no—
378C23×D11—41no—
379C23×D11C2411yescharacteristic
380C23×D11C2411yescharacteristic
381C23×D11C2411yescharacteristic
382C2×Q8×C11—22no—
383C2×Q8×C11—22no—
384C2×Q8×C11—41no—
385C2×D4×C11—22no—
386C2×D4×C11—22no—
387C2×D4×C11#4114yes—
388C22×C4×C11—22no—
389C22×C4×C11—22no—
390C22×C4×C11—22no—
391C22×C4×C11—22no—
392C22×C4×C11—22no—
393C22×C4×C11—22no—
394C22×C4×C11—22no—
395C22×C4×C11—41no—
396C22×C4×C11—41no—
397C22×C4×C11—41no—
398C22×C4×C11—41no—
399C22×C4×C11—41no—
400C22×C4×C11C2411yescharacteristic
401C22×C4×C11C2411yescharacteristic
402C22×C4×C11C2411yescharacteristic
403C22×C4×C11C2411yescharacteristic
404C22×C4×C11C2411yescharacteristic
405C22×C4×C11C2411yescharacteristic
406C22×C4×C11C2411yescharacteristic
407C22×C4×C11C2411yescharacteristic
408C22×C4×C11C2411yescharacteristic
409C22×C4×C11C2411yescharacteristic
410C22×C4×C11C2411yescharacteristic
411C22×C4×C11C2411yescharacteristic
412C22×C4×C11C2411yescharacteristic
413C2×C22⋊D11—22no—
414C2×C22⋊D11—22no—
415C2×C22⋊D11—22no—
416C2×C22⋊D11—22no—
417C2×C22⋊D11—22no—
418C2×C22⋊D11—22no—
419C2×C22⋊D11—22no—
420C2×C22⋊D11—22no—
421C2×C22⋊D11—22no—
422C2×C22⋊D11—41no—
423C2×C22⋊D11—41no—
424C2×C22⋊D11—41no—
425C22×Dic11—22no—
426C22×Dic11—22no—
427C22×Dic11—22no—
428C22×Dic11—22no—
429C22×Dic11—22no—
430C22×Dic11—22no—
431C22×Dic11—22no—
432C22×Dic11—22no—
433C22×Dic11—22no—
434C22×Dic11—22no—
435C22×Dic11—22no—
436C22×Dic11—41no—
437C22×Dic11—41no—
438C22×Dic11—41no—
439C22×Dic11#4114yes—
440C22×Dic11C2411yescharacteristic
441C22×Dic11C2411yescharacteristic
442C22×Dic11C2411yescharacteristic
443C22×Dic11C2411yescharacteristic
444C22×Dic11C2411yescharacteristic
445C22×Dic11C2411yescharacteristic
446C22×Dic11C2411yescharacteristic
447C22×Dic11C2411yescharacteristic
448C22×Dic11C2411yescharacteristic
449C22×Dic11C2411yescharacteristic
450C22×Dic11C2411yescharacteristic
451C22×Dic11C2411yescharacteristic
452C22×Dic11C2411yescharacteristic
453C2×D44—22no—
454C2×D44—22no—
455C2×D44—22no—
456C2×D44—22no—
457C2×D44—41no—
458C2×D44—41no—
459C2×C4×D11—22no—
460C2×C4×D11—22no—
461C2×C4×D11—22no—
462C2×C4×D11—22no—
463C2×C4×D11—22no—
464C2×C4×D11—22no—
465C2×C4×D11—22no—
466C2×C4×D11—22no—
467C2×C4×D11—22no—
468C2×C4×D11—22no—
469C2×C4×D11—22no—
470C2×C4×D11—41no—
471C2×C4×D11—41no—
472C2×C4×D11—41no—
473C2×C4×D11—41no—
474C2×C4×D11—416no—
475C11×C4⋊C4—22no—
476C11×C4⋊C4—22no—
477C11×C4⋊C4—22no—
478C11×C4⋊C4—22no—
479C11×C4⋊C4—22no—
480C11×C4⋊C4—41no—
481C11×C4⋊C4—41no—
482C11×C4⋊C4—41no—
483C11×C22⋊C4—22no—
484C11×C22⋊C4—22no—
485C11×C22⋊C4—22no—
486C11×C22⋊C4—22no—
487C11×C22⋊C4—41no—
488C11×C22⋊C4—41no—
489C11×C22⋊C4—41no—
490C11×C22⋊C4#4114yes—
491C42×C11—22no—
492C22⋊Dic11—22no—
493C22⋊Dic11—22no—
494C22⋊Dic11—22no—
495C22⋊Dic11—22no—
496C22⋊Dic11—22no—
497C22⋊Dic11—22no—
498(C2×D11)⋊C4—22no—
499(C2×D11)⋊C4—22no—
500(C2×D11)⋊C4—22no—
501(C2×D11)⋊C4—22no—
502(C2×D11)⋊C4—22no—
503(C2×D11)⋊C4—22no—
504(C2×D11)⋊C4—22no—
505(C2×D11)⋊C4—22no—
506(C2×D11)⋊C4—22no—
507(C2×D11)⋊C4—22no—
508(C2×D11)⋊C4—22no—
509(C2×D11)⋊C4—22no—
510(C2×D11)⋊C4—22no—
511(C2×D11)⋊C4—22no—
512(C2×D11)⋊C4—22no—
513(C2×D11)⋊C4—22no—
514(C2×D11)⋊C4—22no—
515(C2×D11)⋊C4—22no—
516(C2×D11)⋊C4—22no—
517(C2×D11)⋊C4—41no—
518(C2×D11)⋊C4—41no—
519(C2×D11)⋊C4—41no—
520(C2×D11)⋊C4—41no—
521(C2×D11)⋊C4—41no—
522(C2×D11)⋊C4—41no—
523(C2×D11)⋊C4—41no—
524(C2×D11)⋊C4—41no—
525(C2×D11)⋊C4—41no—
526(C2×D11)⋊C4#4114yes—
527(C2×D11)⋊C4#4114yes—
528C4⋊Dic11—22no—
529C4⋊Dic11—22no—
530C4⋊Dic11—22no—
531C4⋊Dic11—22no—
532C4⋊Dic11—22no—
533C4⋊Dic11—22no—
534C4⋊Dic11—41no—
535C4⋊Dic11—41no—
536C4⋊Dic11—41no—
537C4⋊Dic11—41no—
538Dic11⋊C4—22no—
539Dic11⋊C4—22no—
540Dic11⋊C4—22no—
541Dic11⋊C4—41no—
542Dic11⋊C4—41no—
543Dic11⋊C4—41no—
544C4×Dic11—22no—
545C4×Dic11—22no—
546C4×Dic11—22no—
547C4×Dic11—22no—
548C4×Dic11—22no—
549C4×Dic11—22no—
550C4×Dic11—22no—
551C4×Dic11—22no—
552C4×Dic11—22no—
553C4×Dic11—22no—
554C4×Dic11—22no—
555C4×Dic11—22no—
556C4×Dic11—22no—
557C4×Dic11—41no—
558C4×Dic11—41no—
559C4×Dic11—41no—
560C4×Dic11—41no—
561C4×Dic11—41no—
562C4×Dic11—41no—
563#2597—111no—
564#2595—111no—
565#2589—111no—
566#2587—111no—
567#2578—111no—
568#2576—111no—
569#2559—111no—
570#2557—111no—
571#2510—111no—
572#2505—111no—
573#2480—111no—
574#2472—111no—
575#2450D1111yescharacteristic, complemented
576#2444—111no—
577#2424—111no—
578#2418—111no—
579#2401—111no—
580#2398—111no—
581#2395—111no—
582#2392—111no—
583C4×#126—111no—
584C4×#124—111no—
585C4×C22⋊Q8—111no—
586C4×#123—111no—
587C4×#121—111no—
588C4×#121—111no—
589C4×#120—111no—
590C4×#120—111no—
591#2290—111no—
592C42×D4—111no—
593C2×C4×C22⋊C4—111no—
594C23×C11—21no—
595C23×C11—21no—
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×C11C2×#4112yes—
605C23×C11C2×#4112yes—
606C23×C11C2×#4112yes—
607C23×C11C2×#4112yes—
608C23×C11C2511yescharacteristic
609C22×D11—28no—
610C22×D11—21no—
611C22×D11—21no—
612C22×D11—21no—
613C22×D11—21no—
614C22×D11—21no—
615C22×D11—21no—
616C22×D11—21no—
617C22×D11—21no—
618C22×D11—21no—
619C22×D11—21no—
620C22×D11—21no—
621C22×D11—21no—
622C22×D11—21no—
623C22×D11—21no—
624C22×D11—21no—
625C22×D11—21no—
626C22×D11—21no—
627C22×D11—21no—
628C22×D11—21no—
629C22×D11—44no—
630C22×D11—44no—
631C22×D11—44no—
632C22×D11—44no—
633C22×D11—44no—
634C22×D11—44no—
635C22×D11C2×#4112yes—
636C22×D11C2×#4112yes—
637Q8×C11—44no—
638D4×C11—28no—
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—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—21no—
673C2×C4×C11—44no—
674C2×C4×C11—44no—
675C2×C4×C11—44no—
676C2×C4×C11—44no—
677C2×C4×C11C2×#4112yes—
678C2×C4×C11C2×#4112yes—
679C2×C4×C11C2×#4112yes—
680C2×C4×C11C2×#4112yes—
681C2×C4×C11C2×#4112yes—
682C22⋊D11—44no—
683C22⋊D11—44no—
684C22⋊D11—44no—
685C22⋊D11—44no—
686C2×Dic11—21no—
687C2×Dic11—21no—
688C2×Dic11—21no—
689C2×Dic11—21no—
690C2×Dic11—21no—
691C2×Dic11—21no—
692C2×Dic11—28no—
693C2×Dic11—21no—
694C2×Dic11—21no—
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—21no—
720C2×Dic11—44no—
721C2×Dic11—44no—
722C2×Dic11—44no—
723C2×Dic11—44no—
724C2×Dic11C2×#4112yes—
725C2×Dic11C2×#4112yes—
726C2×Dic11C2×#4112yes—
727C2×Dic11C2×#4112yes—
728C2×Dic11H(5,𝔽2)12yes—
729C2×Dic11H(5,𝔽2)12yes—
730D44—44no—
731D44—44no—
732C4×D11—44no—
733C4×D11—44no—
734C4×D11—44no—
735C4×D11—44no—
736C4×D11—44no—
737C24×C4—111no—
738C2×#126—111no—
739C2×#124—111no—
740C2×#123—111no—
741C2×C22⋊Q8C2×D1111yescharacteristic
742C2×#121—111no—
743C2×#121—111no—
744C2×#120—111no—
745C2×#120—111no—
746C2×C4×Q8—111no—
747C2×C4×D4—111no—
748C2×C4×D4—111no—
749C2×C4×D4—111no—
750C2×C4×D4—111no—
751C2×C4×D4—111no—
752C2×C4×D4—111no—
753C2×C4×D4—111no—
754C2×C4×D4—111no—
755C2×C4×D4C2×D1111yescharacteristic
756C2×#117—111no—
757C22×C22⋊C4—111no—
758C22×C22⋊C4—111no—
759C22×C42—111no—
760C22×C42—111no—
761C22×C42—111no—
762#401—111no—
763#400—111no—
764#400—111no—
765#400—111no—
766#400—111no—
767#400—111no—
768#400C2×D1111yescharacteristic, complemented
769#399—111no—
770#398—111no—
771#398C2×D1111yescharacteristic, complemented
772#397—111no—
773#397—111no—
774#397—111no—
775#397—111no—
776#397—111no—
777#397—111no—
778#397—111no—
779#397—111no—
780#397—111no—
781#396—111no—
782#396—111no—
783#396C2×D1111yescharacteristic, complemented
784#394—111no—
785#394—111no—
786#394—111no—
787#394—111no—
788#394—111no—
789#394—111no—
790#394—111no—
791#393—111no—
792#393C2×D1111yescharacteristic, complemented
793#392—111no—
794#391—111no—
795#391C2×D1111yescharacteristic, complemented
796#390—111no—
797#390—111no—
798#390—111no—
799#389—111no—
800#389—111no—
801#389—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#388—111no—
816#388—111no—
817#387—111no—
818#387—111no—
819#387—111no—
820#387—111no—
821#387—111no—
822#387—111no—
823#387—111no—
824#387—111no—
825#387C2×D1111yescharacteristic, complemented
826#386—111no—
827#386—111no—
828#386—111no—
829#386—111no—
830#386—111no—
831#386—111no—
832#386—111no—
833#386—111no—
834#386—111no—
835#386—111no—
836#386—111no—
837#386C2×D1111yescharacteristic
838#386C2×D1111yescharacteristic
839#385—111no—
840#385—111no—
841#385—111no—
842#385—111no—
843#385—111no—
844#385—111no—
845#385—111no—
846#385—111no—
847#385C2×D1111yescharacteristic
848#385C2×D1111yescharacteristic
849#385C2×D1111yescharacteristic, complemented
850#383—111no—
851#382—111no—
852#381—111no—
853#380—111no—
854#380—111no—
855#380C2×D1111yescharacteristic, complemented
856#379—111no—
857#379—111no—
858C4×C4⋊C4—111no—
859C4×C4⋊C4—111no—
860C4×C4⋊C4—111no—
861C4×C4⋊C4—111no—
862C4×C4⋊C4—111no—
863C4×C4⋊C4—111no—
864C4×C4⋊C4—111no—
865C4×C4⋊C4—111no—
866C4×C22⋊C4—111no—
867C4×C22⋊C4—111no—
868C4×C22⋊C4—111no—
869C4×C22⋊C4—111no—
870C4×C22⋊C4—111no—
871C4×C22⋊C4—111no—
872C4×C22⋊C4—111no—
873C4×C22⋊C4—111no—
874C4×C22⋊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—
888#376—111no—
889C2×#95—111no—
890C2×#95C2×D1111yescharacteristic
891C43—111no—
892C22×C11—22no—
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—41no—
902C22×C11—41no—
903C22×C11—41no—
904C22×C11—41no—
905C22×C11#52914yes—
906C22×C11C22×#4111yescharacteristic
907C22×C11C22×#4111yescharacteristic
908C22×C11C22×#4111yescharacteristic
909C22×C11C22×#4111yescharacteristic
910C22×C11C22×#4111yescharacteristic
911C22×C11C2×H(5,𝔽2)11yescharacteristic
912C22×C11C2×H(5,𝔽2)11yescharacteristic
913C2×D11—22no—
914C2×D11—22no—
915C2×D11—22no—
916C2×D11—22no—
917C2×D11—22no—
918C2×D11—22no—
919C2×D11—416no—
920C2×D11—41no—
921C2×D11—41no—
922C2×D11—41no—
923C2×D11—41no—
924C2×D11—41no—
925C2×D11—41no—
926C2×D11—41no—
927C2×D11—41no—
928C2×D11—41no—
929C2×D11—41no—
930C2×D11—41no—
931C2×D11—41no—
932C2×D11—41no—
933C2×D11—41no—
934C2×D11—41no—
935C4×C11—22no—
936C4×C11—22no—
937C4×C11—22no—
938C4×C11—22no—
939C4×C11—22no—
940C4×C11—41no—
941C4×C11—41no—
942C4×C11—41no—
943C4×C11—41no—
944C4×C11—41no—
945C4×C11—41no—
946C4×C11—41no—
947C4×C11—41no—
948Dic11—22no—
949Dic11—22no—
950Dic11—22no—
951Dic11—41no—
952Dic11—41no—
953Dic11—41no—
954Dic11—41no—
955Dic11—41no—
956Dic11—41no—
957Dic11—41no—
958Dic11—41no—
959Dic11—41no—
960Dic11#53814yes—
961C25—111no—
962C22×Q8C22×D1111yescharacteristic
963C22×D4—111no—
964C22×D4—111no—
965C22×D4—111no—
966C22×D4—111no—
967C22×D4—111no—
968C22×D4—111no—
969C22×D4C22×D1111yescharacteristic
970C23×C4—111no—
971C23×C4—111no—
972C23×C4—111no—
973C23×C4—111no—
974C23×C4—111no—
975C23×C4—111no—
976C23×C4—111no—
977C23×C4—111no—
978C23×C4—111no—
979C23×C4—111no—
980C23×C4—224no—
981C23×C4—442no—
982C23×C4—442no—
983C23×C4C22×D1111yescharacteristic
984C23×C4C22×D1111yescharacteristic
985C23×C4C22×D1111yescharacteristic
986C23×C4C22×D1111yescharacteristic
987#126—224no—
988#124—224no—
989#123—224no—
990C22⋊Q8—24no—
991#121—224no—
992#121—224no—
993#120—224no—
994#120—224no—
995C4×Q8—442no—
996C4×D4—24no—
997C4×D4—224no—
998C4×D4—224no—
999C4×D4—224no—
1000C4×D4—442no—
1001C4×D4—442no—
1002C4×D4—442no—
1003C4×D4—442no—
1004C4×D4—442no—
1005#117—442no—
1006C2×C4⋊C4—111no—
1007C2×C4⋊C4—111no—
1008C2×C4⋊C4—111no—
1009C2×C4⋊C4—111no—
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⋊C4C22×D1111yescharacteristic
1023C2×C4⋊C4C22×D1111yescharacteristic
1024C2×C4⋊C4C22×D1111yescharacteristic
1025C2×C4⋊C4C22×D1111yescharacteristic
1026C2×C4⋊C4C22×D1111yescharacteristic
1027C2×C4⋊C4C22×D1111yescharacteristic
1028C2×C4⋊C4C22×D1111yescharacteristic
1029C2×C4⋊C4C22×D1111yescharacteristic
1030C2×C22⋊C4—111no—
1031C2×C22⋊C4—111no—
1032C2×C22⋊C4—111no—
1033C2×C22⋊C4—111no—
1034C2×C22⋊C4—111no—
1035C2×C22⋊C4—111no—
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⋊C4—111no—
1065C2×C22⋊C4—111no—
1066C2×C22⋊C4—224no—
1067C2×C22⋊C4—224no—
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×C42—111no—
1077C2×C42—111no—
1078C2×C42—111no—
1079C2×C42—111no—
1080C2×C42—111no—
1081C2×C42—111no—
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—442no—
1096C2×C42—442no—
1097C2×C42—442no—
1098C2×C42C22×D1111yescharacteristic
1099#95—111no—
1100#95—111no—
1101#95—111no—
1102#95—111no—
1103#95—111no—
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#95C22×D1111yescharacteristic
1132#95C22×D1111yescharacteristic
1133#95C22×D1111yescharacteristic
1134#95C22×D1111yescharacteristic
1135#95C22×D1111yescharacteristic
1136#95C22×D1111yescharacteristic
1137#95C22×D1111yescharacteristic
1138#95C22×D1111yescharacteristic
1139#95C22×D1111yescharacteristic
1140#95C22×D1111yescharacteristic
1141#95C22×D1111yescharacteristic
1142#95C22×D1111yescharacteristic
1143C2×C11—24no—
1144C2×C11—42no—
1145C2×C11C2×#52911yescharacteristic
1146C2×C11#344411yescharacteristic
1147C2×C11C2×#53811yescharacteristic
1148C2×C11#348111yescharacteristic
1149C2×C11#348111yescharacteristic
1150C2×C11#348111yescharacteristic
1151C2×C11#348111yescharacteristic
1152D11—42no—
1153D11—42no—
1154D11—81no—
1155C24—111no—
1156C24—111no—
1157C24—111no—
1158C24—222no—
1159C24—222no—
1160C24—222no—
1161C24—222no—
1162C24—222no—
1163C24—441no—
1164C24—441no—
1165C24C23×D1111yescharacteristic
1166C24C23×D1111yescharacteristic
1167C2×Q8—22no—
1168C2×Q8—22no—
1169C2×Q8—41no—
1170C2×D4—22no—
1171C2×D4—22no—
1172C2×D4—222no—
1173C2×D4—222no—
1174C2×D4—222no—
1175C2×D4—222no—
1176C2×D4—222no—
1177C2×D4—222no—
1178C2×D4—222no—
1179C2×D4—222no—
1180C2×D4—222no—
1181C2×D4—222no—
1182C2×D4—222no—
1183C2×D4—222no—
1184C2×D4—222no—
1185C2×D4—441no—
1186C2×D4—441no—
1187C2×D4—441no—
1188C2×D4—441no—
1189C2×D4—441no—
1190C2×D4#434314yes—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—22no—
1197C22×C4—22no—
1198C22×C4—41no—
1199C22×C4—41no—
1200C22×C4—41no—
1201C22×C4—41no—
1202C22×C4—41no—
1203C22×C4—111no—
1204C22×C4—114no—
1205C22×C4—111no—
1206C22×C4—111no—
1207C22×C4—111no—
1208C22×C4—111no—
1209C22×C4—111no—
1210C22×C4—111no—
1211C22×C4—111no—
1212C22×C4—111no—
1213C22×C4—111no—
1214C22×C4—111no—
1215C22×C4—111no—
1216C22×C4—111no—
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—222no—
1232C22×C4—222no—
1233C22×C4—222no—
1234C22×C4—222no—
1235C22×C4—222no—
1236C22×C4—222no—
1237C22×C4—222no—
1238C22×C4—222no—
1239C22×C4—441no—
1240C22×C4—441no—
1241C22×C4—441no—
1242C22×C4—441no—
1243C22×C4—4416no—
1244C22×C4—441no—
1245C22×C4—441no—
1246C22×C4—441no—
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
1256C22×C4C23×D1111yescharacteristic
1257C22×C4C23×D1111yescharacteristic
1258C22×C4C23×D1111yescharacteristic
1259C22×C4C23×D1111yescharacteristic
1260C4⋊C4—22no—
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—22no—
1264C4⋊C4—22no—
1265C4⋊C4—41no—
1266C4⋊C4—41no—
1267C4⋊C4—41no—
1268C4⋊C4—222no—
1269C4⋊C4—222no—
1270C4⋊C4—222no—
1271C4⋊C4—222no—
1272C4⋊C4—222no—
1273C4⋊C4—222no—
1274C4⋊C4—222no—
1275C4⋊C4—222no—
1276C4⋊C4—222no—
1277C4⋊C4—441no—
1278C4⋊C4—441no—
1279C4⋊C4—441no—
1280C4⋊C4—441no—
1281C4⋊C4—441no—
1282C4⋊C4—441no—
1283C4⋊C4—441no—
1284C22⋊C4—22no—
1285C22⋊C4—22no—
1286C22⋊C4—22no—
1287C22⋊C4—22no—
1288C22⋊C4—41no—
1289C22⋊C4—41no—
1290C22⋊C4—41no—
1291C22⋊C4—114no—
1292C22⋊C4—114no—
1293C22⋊C4—222no—
1294C22⋊C4—222no—
1295C22⋊C4—222no—
1296C22⋊C4—222no—
1297C22⋊C4—222no—
1298C22⋊C4—222no—
1299C22⋊C4—222no—
1300C22⋊C4—222no—
1301C22⋊C4—222no—
1302C22⋊C4—222no—
1303C22⋊C4—222no—
1304C22⋊C4—222no—
1305C22⋊C4—222no—
1306C22⋊C4—222no—
1307C22⋊C4—222no—
1308C22⋊C4—222no—
1309C22⋊C4—222no—
1310C22⋊C4—222no—
1311C22⋊C4—222no—
1312C22⋊C4—222no—
1313C22⋊C4—222no—
1314C22⋊C4—222no—
1315C22⋊C4—222no—
1316C22⋊C4—222no—
1317C22⋊C4—222no—
1318C22⋊C4—441no—
1319C22⋊C4—441no—
1320C22⋊C4—441no—
1321C22⋊C4—441no—
1322C22⋊C4—441no—
1323C22⋊C4—441no—
1324C22⋊C4—441no—
1325C22⋊C4—441no—
1326C22⋊C4—441no—
1327C22⋊C4#434114yes—
1328C42—22no—
1329C42—222no—
1330C42—222no—
1331C42—222no—
1332C42—222no—
1333C42—222no—
1334C42—222no—
1335C42—222no—
1336C42—222no—
1337C42—222no—
1338C42—222no—
1339C42—222no—
1340C42—222no—
1341C42—222no—
1342C42—441no—
1343C42—441no—
1344C42—441no—
1345C42—441no—
1346C42—441no—
1347C42—441no—
1348C11#3495911yescharacteristic, complemented, Sylow
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—112no—
1360C23—112no—
1361C23—228no—
1362C23—221no—
1363C23—221no—
1364C23—221no—
1365C23—221no—
1366C23—221no—
1367C23—221no—
1368C23—221no—
1369C23—221no—
1370C23—221no—
1371C23—221no—
1372C23—221no—
1373C23—221no—
1374C23—221no—
1375C23—221no—
1376C23—221no—
1377C23—221no—
1378C23—221no—
1379C23—221no—
1380C23—221no—
1381C23—444no—
1382C23—444no—
1383C23—444no—
1384C23—444no—
1385C23—444no—
1386C23—444no—
1387C23C2×#434112yes—
1388C23C2×#434312yes—
1389C23C2×#434312yes—
1390C23#41×D1112yes—
1391C23C24×D1111yescharacteristic
1392Q8—44no—
1393D4—28no—
1394D4—444no—
1395D4—444no—
1396D4—444no—
1397D4—444no—
1398D4—444no—
1399D4—444no—
1400C2×C4—21no—
1401C2×C4—21no—
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—21no—
1433C2×C4—21no—
1434C2×C4—44no—
1435C2×C4—44no—
1436C2×C4—44no—
1437C2×C4—44no—
1438C2×C4—112no—
1439C2×C4—112no—
1440C2×C4—112no—
1441C2×C4—112no—
1442C2×C4—112no—
1443C2×C4—112no—
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—444no—
1479C2×C4—444no—
1480C2×C4—444no—
1481C2×C4—444no—
1482C2×C4—444no—
1483C2×C4—444no—
1484C2×C4—444no—
1485C2×C4—444no—
1486C2×C4—444no—
1487C2×C4C2×#434112yes—
1488C2×C4C2×#434112yes—
1489C2×C4C2×#434312yes—
1490C2×C4#41×D1112yes—
1491C2×C4#41×D1112yes—
1492C22—22no—
1493C22—22no—
1494C22—22no—
1495C22—22no—
1496C22—22no—
1497C22—22no—
1498C22—22no—
1499C22—22no—
1500C22—22no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—222no—
1506C22—222no—
1507C22—222no—
1508C22—222no—
1509C22—222no—
1510C22—222no—
1511C22—4416no—
1512C22—441no—
1513C22—441no—
1514C22—441no—
1515C22—441no—
1516C22—441no—
1517C22—441no—
1518C22—441no—
1519C22—441no—
1520C22—441no—
1521C22—441no—
1522C22—441no—
1523C22—441no—
1524C22—441no—
1525C22—441no—
1526C22—441no—
1527C22#1062315514yes—
1528C22C22×#434111yescharacteristic
1529C22C22×#434311yescharacteristic
1530C22C2×#41×D1111yescharacteristic
1531C22C2×#41×D1111yescharacteristic
1532C22C2×#41×D1111yescharacteristic
1533C22D11×H(5,𝔽2)11yescharacteristic
1534C22D11×H(5,𝔽2)11yescharacteristic
1535C4—22no—
1536C4—22no—
1537C4—22no—
1538C4—22no—
1539C4—22no—
1540C4—41no—
1541C4—41no—
1542C4—41no—
1543C4—41no—
1544C4—41no—
1545C4—41no—
1546C4—41no—
1547C4—41no—
1548C4—114no—
1549C4—222no—
1550C4—222no—
1551C4—222no—
1552C4—441no—
1553C4—441no—
1554C4—441no—
1555C4—441no—
1556C4—441no—
1557C4—441no—
1558C4—441no—
1559C4—441no—
1560C4—441no—
1561C2—24no—
1562C2—42no—
1563C2—442no—
1564C2—442no—
1565C2—881no—
1566C2C2×#1062315511yescharacteristic
1567C2#1308191011yescharacteristic
1568C2D11×#53811yescharacteristic
1569C2#1308222111yescharacteristic
1570C2#1308222111yescharacteristic
1571C2#1308222711yescharacteristic
1572C2#1308222711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2450C2
prime radical#13072146C2
hypercenter#2450D11
hypocenterC11#34959
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2450

Complements

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

NH ≅ G/Ntype
1. #13074163C2semidirect
2. #13074130C2semidirect
3. #13074071C2semidirect
4. #13074038C2semidirect
5. #13073946C2semidirect
6. #13073913C2semidirect
7. #13073749C2semidirect
8. #13073716C2semidirect
9. #13073176C2semidirect
10. #13073123C2semidirect
11. #13072864C2semidirect
12. #13072749C2semidirect
13. #13072364C2semidirect
15. #13072076C2semidirect
16. #13071915C2semidirect
17. #13071898C2semidirect
18. #13071880C2semidirect
19. #13071861C2semidirect
20. #13071166C2semidirect
21. #13071159C2semidirect
22. C22⋊Q8×Dic11C2semidirect
23. #13071135C2semidirect
24. #13071126C2semidirect
25. #13071122C2semidirect
26. #13071121C2semidirect
27. #13071117C2semidirect
28. #13071052C2semidirect
29. C4×D4×Dic11C2semidirect
30. C2×#10622279C2semidirect
31. C11×#2450C2semidirect
36. C2×Q8×Dic11C22semidirect
46. C22×C4×Dic11C22semidirect
50. C2×#66945C22semidirect
56. C2×(C22⋊D11)⋊C4C22semidirect
57. C11×#400C22semidirect
58. C11×#398C22semidirect
59. C11×#396C22semidirect
60. C11×#393C22semidirect
61. C11×#391C22semidirect
62. C11×#387C22semidirect
67. C11×#385C22semidirect
68. C11×#380C22semidirect
71. #10622843C22semidirect
79. C4×C22⋊Dic11C22semidirect
91. #10622603C22semidirect
95. #10622599C22semidirect
96. #10622598C22semidirect
97. #10622597C22semidirect
98. #10622594C22semidirect
99. #10622594C22semidirect
100. #10622591C22semidirect
101. #10622590C22semidirect
102. C4⋊C4×Dic11C22semidirect
103. C4⋊C4×Dic11C22semidirect
104. C4⋊C4×Dic11C22semidirect
105. C4⋊C4×Dic11C22semidirect
106. C4⋊C4×Dic11C22semidirect
107. C4⋊C4×Dic11C22semidirect
108. #10622586C22semidirect
112. #10622574C22semidirect
116. #10622571C22semidirect
117. #10622570C22semidirect
122. #10622566C22semidirect
126. #10622557C22semidirect
127. #10622556C22semidirect
132. C22⋊C4×Dic11C22semidirect
133. C22⋊C4×Dic11C22semidirect
134. C22⋊C4×Dic11C22semidirect
137. C4×C4⋊Dic11C22semidirect
138. C42×Dic11C22semidirect
141. #10622288C22semidirect
144. #10622287C22semidirect
145. #10622287C22semidirect
149. #10622283C22semidirect
150. #10622283C22semidirect
151. #10622283C22semidirect
152. #10622283C22semidirect
154. #10622282C22semidirect
169. #10622279C22semidirect
170. #10622279C22semidirect
173. C11⋊#401C22semidirect
174. #10622273C22semidirect
175. #10622273C22semidirect
176. #10622273C22semidirect
177. #10622272C22semidirect
178. #10622268C22semidirect
179. #10622268C22semidirect
180. #10622267C22semidirect
181. #10622267C22semidirect
182. #10622266C22semidirect
183. #10622264C22semidirect
184. #10622262C22semidirect
185. #10622261C22semidirect
186. #10622260C22semidirect
575. #2450D11semidirect
768. #400C2×D11semidirect
771. #398C2×D11semidirect
783. #396C2×D11semidirect
792. #393C2×D11semidirect
795. #391C2×D11semidirect
825. #387C2×D11semidirect
849. #385C2×D11semidirect
855. #380C2×D11semidirect
1348. C11#34959semidirect

Maximal subgroups

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

subgroupindex
#130741632
#130741302
#130740712
#130740382
#130739462
#130739132
#130737492
#130737162
#130731762
#130731232
#130728642
#130727492
#130723642
#130721462
#130720762
#130719152
#130718982
#130718802
#130718612
#130711662
#130711592
C22⋊Q8×Dic112
#130711352
#130711262
#130711222
#130711212
#130711172
#130710522
C4×D4×Dic112
C2×#106222792
C11×#24502
#3495911