Finite Group Databasebeta

← #14926580

Subgroups — #14926580

Order 2816.

2314 conjugacy classes of subgroups.

The subgroup lattice has 1638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076943C211yesmaximal, characteristic, complemented
2#13076936C211yesmaximal, characteristic, complemented
3#13076928C211yesmaximal, characteristic, complemented
4#13076914C211yesmaximal, characteristic, complemented
5#13074686C211yesmaximal, characteristic, complemented
6#13074624C211yesmaximal, characteristic, complemented
7#13074611C211yesmaximal, characteristic, complemented
8#13074609C211yesmaximal, characteristic, complemented
9#13073281C211yesmaximal, characteristic, complemented
10#13073272C211yesmaximal, characteristic, complemented
11#13073179C211yesmaximal, characteristic, complemented
12#13073170C211yesmaximal, characteristic, complemented
13#13073119C211yesmaximal, characteristic, complemented
14#13072945C211yesmaximal, characteristic, complemented
15#13072736C211yesmaximal, characteristic, complemented
16#13072663C211yesmaximal, characteristic, complemented
17#13072559C211yesmaximal, characteristic, complemented
18#13072369C211yesmaximal, characteristic, complemented
19#13072281C211yesmaximal, characteristic, complemented
20#13072162C211yesmaximal, characteristic, complemented
21#13072009C211yesmaximal, characteristic, complemented
22#13071992C211yesmaximal, characteristic
23#13071941C211yesmaximal, characteristic, complemented
24#13071346C211yesmaximal, characteristic, complemented
25#13071271C211yesmaximal, characteristic, complemented
26#13071244C211yesmaximal, characteristic, complemented
27#13071212C211yesmaximal, characteristic, complemented
28#13071117C211yesmaximal, characteristic, complemented
29C2×#10622569C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D11C211yesmaximal, characteristic, complemented
31C11×#2480C211yesmaximal, characteristic, complemented
32C23×C22⋊D11C2211yescharacteristic
33C23×C4×D11C2211yescharacteristic
34C2×C11×#126C2211yescharacteristic, complemented
35C22×C11×C22⋊C4C2211yescharacteristic
36C2×#67006C2211yescharacteristic
37C22×C22⋊Dic11C2211yescharacteristic
38C22×(C2×D11)⋊C4C2211yescharacteristic
39C2×#66977C2211yescharacteristic
40C2×#66949C2211yescharacteristic, complemented
41C2×#66947C2211yescharacteristic, complemented
42C2×#66946C2211yescharacteristic, complemented
43C2×#66946C2211yescharacteristic, complemented
44C2×#66938C2211yescharacteristic, complemented
45C2×#66937C2211yescharacteristic
46C2×#66937C2211yescharacteristic
47C2×#66936C2211yescharacteristic
48C2×#66936C2211yescharacteristic
49C2×#66935C2211yescharacteristic
50C2×(C22⋊D11)⋊C4C2211yescharacteristic
51C2×C22⋊C4×D11C2211yescharacteristic
52C2×C22⋊C4×D11C2211yescharacteristic
53C2×C42×D11C2211yescharacteristic, complemented
54C2×C42×D11C2211yescharacteristic, complemented
55C11×#397C2211yescharacteristic, complemented
56C11×#397C2211yescharacteristic, complemented
57C11×#397C2211yescharacteristic, complemented
58C11×#396C2211yescharacteristic, complemented
59C11×#388C2211yescharacteristic, complemented
60C11×#388C2211yescharacteristic, complemented
61C11×#388C2211yescharacteristic, complemented
62C11×#385C2211yescharacteristic
63C11×#385C2211yescharacteristic
64C11×#380C2211yescharacteristic
65C11×#379C2211yescharacteristic
66C11×#379C2211yescharacteristic
67C4×C11×C22⋊C4C2211yescharacteristic
68#10622860C2211yescharacteristic
69#10622826C2211yescharacteristic
70#10622826C2211yescharacteristic
71C4×C22⋊Dic11C2211yescharacteristic
72C2×C11⋊#95C2211yescharacteristic
73C2×C11⋊#95C2211yescharacteristic
74#10622607C2211yescharacteristic, complemented
75#10622606C2211yescharacteristic, complemented
76#10622605C2211yescharacteristic, complemented
77#10622604C2211yescharacteristic, complemented
78#10622603C2211yescharacteristic, complemented
79#10622602C2211yescharacteristic, complemented
80#10622602C2211yescharacteristic, complemented
81#10622602C2211yescharacteristic, complemented
82#10622602C2211yescharacteristic, complemented
83#10622600C2211yescharacteristic, complemented
84#10622596C2211yescharacteristic, complemented
85#10622595C2211yescharacteristic, complemented
86#10622594C2211yescharacteristic, complemented
87#10622591C2211yescharacteristic, complemented
88#10622591C2211yescharacteristic, complemented
89#10622591C2211yescharacteristic, complemented
90#10622591C2211yescharacteristic, complemented
91#10622590C2211yescharacteristic, complemented
92#10622585C2211yescharacteristic, complemented
93#10622585C2211yescharacteristic, complemented
94#10622574C2211yescharacteristic
95#10622574C2211yescharacteristic
96#10622574C2211yescharacteristic, complemented
97#10622573C2211yescharacteristic
98#10622573C2211yescharacteristic
99#10622572C2211yescharacteristic
100#10622572C2211yescharacteristic
101#10622572C2211yescharacteristic
102#10622572C2211yescharacteristic
103#10622572C2211yescharacteristic, complemented
104#10622571C2211yescharacteristic
105#10622571C2211yescharacteristic
106#10622570C2211yescharacteristic, complemented
107#10622570C2211yescharacteristic, complemented
108#10622570C2211yescharacteristic, complemented
109#10622569C2211yescharacteristic
110#10622569C2211yescharacteristic
111#10622569C2211yescharacteristic
112#10622569C2211yescharacteristic
113#10622569C2211yescharacteristic
114#10622569C2211yescharacteristic
115#10622569C2211yescharacteristic
116#10622569C2211yescharacteristic
117#10622569C2211yescharacteristic
118#10622569C2211yescharacteristic
119#10622569C2211yescharacteristic
120#10622569C2211yescharacteristic
121#10622569C2211yescharacteristic, complemented
122#10622569C2211yescharacteristic, complemented
123#10622568C2211yescharacteristic
124#10622565C2211yescharacteristic, complemented
125#10622564C2211yescharacteristic, complemented
126#10622563C2211yescharacteristic
127#10622560C2211yescharacteristic, complemented
128#10622559C2211yescharacteristic
129#10622559C2211yescharacteristic
130#10622559C2211yescharacteristic
131#10622558C2211yescharacteristic, complemented
132#10622558C2211yescharacteristic, complemented
133#10622558C2211yescharacteristic, complemented
134#10622558C2211yescharacteristic, complemented
135#10622558C2211yescharacteristic, complemented
136#10622558C2211yescharacteristic, complemented
137#10622557C2211yescharacteristic, complemented
138#10622557C2211yescharacteristic, complemented
139#10622557C2211yescharacteristic, complemented
140#10622557C2211yescharacteristic, complemented
141#10622557C2211yescharacteristic, complemented
142#10622557C2211yescharacteristic, complemented
143#10622557C2211yescharacteristic, complemented
144#10622555C2211yescharacteristic
145#10622555C2211yescharacteristic
146C22⋊C4×Dic11C2211yescharacteristic
147C22⋊C4×Dic11C2211yescharacteristic
148C22⋊C4×Dic11C2211yescharacteristic
149#10622553C2211yescharacteristic, complemented
150#10622553C2211yescharacteristic, complemented
151C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
152C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
153#10622550C2211yescharacteristic, complemented
154#10622546C2211yescharacteristic, complemented
155#10622289C2211yescharacteristic, complemented
156#10622288C2211yescharacteristic, complemented
157#10622288C2211yescharacteristic, complemented
158#10622288C2211yescharacteristic, complemented
159#10622286C2211yescharacteristic, complemented
160#10622285C2211yescharacteristic, complemented
161#10622283C2211yescharacteristic, complemented
162#10622281C2211yescharacteristic, complemented
163#10622280C2211yescharacteristic, complemented
164#10622279C2211yescharacteristic, complemented
165#10622279C2211yescharacteristic, complemented
166#10622279C2211yescharacteristic, complemented
167#10622279C2211yescharacteristic, complemented
168#10622278C2211yescharacteristic, complemented
169#10622278C2211yescharacteristic, complemented
170#10622278C2211yescharacteristic, complemented
171#10622277C2211yescharacteristic, complemented
172#10622277C2211yescharacteristic, complemented
173D11×#95C2211yescharacteristic, complemented
174D11×#95C2211yescharacteristic, complemented
175C11⋊#401C2211yescharacteristic, complemented
176#10622272C2211yescharacteristic, complemented
177#10622271C2211yescharacteristic, complemented
178#10622271C2211yescharacteristic, complemented
179#10622268C2211yescharacteristic, complemented
180#10622266C2211yescharacteristic, complemented
181#10622266C2211yescharacteristic, complemented
182#10622264C2211yescharacteristic, complemented
183#10622263C2211yescharacteristic, complemented
184#10622260C2211yescharacteristic, complemented
185#10622259C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187C25×C11C2311yescharacteristic
188C24×D11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C22×C22⋊D11—24no—
192C22×C22⋊D11—42no—
193C22×C22⋊D11—42no—
194C22×C22⋊D11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C23×Dic11C2311yescharacteristic
202C23×Dic11C2311yescharacteristic
203C23×Dic11C2311yescharacteristic
204C22×D44C2311yescharacteristic
205C22×D44C2311yescharacteristic
206C22×C4×D11—24no—
207C22×C4×D11—42no—
208C22×C4×D11—42no—
209C22×C4×D11C2311yescharacteristic
210C22×C4×D11C2311yescharacteristic
211C22×C4×D11C2311yescharacteristic
212C22×C4×D11C2311yescharacteristic
213C22×C4×D11C2311yescharacteristic
214C22×C4×D11C2311yescharacteristic
215C22×C4×D11C2311yescharacteristic
216C22×C4×D11C2311yescharacteristic
217C22×C4×D11C2311yescharacteristic
218C22×Dic22C2311yescharacteristic
219C11×#126—42no—
220C2×C11×C4⋊C4C2311yescharacteristic
221C2×C11×C4⋊C4C2311yescharacteristic
222C2×C11×C4⋊C4C2311yescharacteristic
223C2×C11×C4⋊C4C2311yescharacteristic
224C2×C11×C4⋊C4C2311yescharacteristic
225C2×C11×C4⋊C4C2311yescharacteristic
226C2×C11×C22⋊C4—42no—
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×C11×C22⋊C4C2311yescharacteristic
238C2×C11×C22⋊C4C2311yescharacteristic
239C2×C11×C22⋊C4C2311yescharacteristic
240C2×C11×C22⋊C4C2311yescharacteristic
241C2×C11×C22⋊C4C2311yescharacteristic
242C2×C11×C22⋊C4C2311yescharacteristic
243C2×C42×C11C2311yescharacteristic
244C2×C42×C11C2311yescharacteristic
245#67006—24no—
246C2×C22⋊Dic11—24no—
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×(C2×D11)⋊C4—42no—
261C2×(C2×D11)⋊C4C2311yescharacteristic
262C2×(C2×D11)⋊C4C2311yescharacteristic
263C2×(C2×D11)⋊C4C2311yescharacteristic
264C2×(C2×D11)⋊C4C2311yescharacteristic
265C2×(C2×D11)⋊C4C2311yescharacteristic
266C2×(C2×D11)⋊C4C2311yescharacteristic
267C2×(C2×D11)⋊C4C2311yescharacteristic
268C2×(C2×D11)⋊C4C2311yescharacteristic
269C2×(C2×D11)⋊C4C2311yescharacteristic
270C2×(C2×D11)⋊C4C2311yescharacteristic
271C2×(C2×D11)⋊C4C2311yescharacteristic
272C2×(C2×D11)⋊C4C2311yescharacteristic
273C2×(C2×D11)⋊C4C2311yescharacteristic
274C2×(C2×D11)⋊C4C2311yescharacteristic
275C2×(C2×D11)⋊C4C2311yescharacteristic
276C2×(C2×D11)⋊C4C2311yescharacteristic
277C2×(C2×D11)⋊C4C2311yescharacteristic
278C2×(C2×D11)⋊C4C2311yescharacteristic
279C2×(C2×D11)⋊C4C2311yescharacteristic
280C2×(C2×D11)⋊C4C2311yescharacteristic
281C2×(C2×D11)⋊C4C2311yescharacteristic
282C2×(C2×D11)⋊C4C2311yescharacteristic
283C2×(C2×D11)⋊C4C2311yescharacteristic
284C2×C4⋊Dic11C2311yescharacteristic
285C2×C4⋊Dic11C2311yescharacteristic
286C2×C4⋊Dic11C2311yescharacteristic
287#66977—24no—
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×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
310#66949—42no—
311#66947—42no—
312#66946—42no—
313#66946—42no—
314#66938—42no—
315#66937—42no—
316#66937—42no—
317#66936—42no—
318#66936—42no—
319#66935—24no—
320(C22⋊D11)⋊C4—24no—
321C22⋊C4×D11—24no—
322C22⋊C4×D11—24no—
323C42×D11—42no—
324C42×D11—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#34998—111nomaximal, Sylow
370C24×C11—22no—
371C24×C11—22no—
372C24×C11—22no—
373C24×C11—41no—
374C24×C11—41no—
375C24×C11—41no—
376C24×C11—41no—
377C24×C11C2411yescharacteristic
378C24×C11C2411yescharacteristic
379C24×C11C2411yescharacteristic
380C23×D11—22no—
381C23×D11—22no—
382C23×D11—22no—
383C23×D11—22no—
384C23×D11—41no—
385C23×D11—41no—
386C23×D11#4114yes—
387C23×D11C2411yescharacteristic
388C23×D11C2411yescharacteristic
389C23×D11C2411yescharacteristic
390C22×C4×C11—22no—
391C22×C4×C11—22no—
392C22×C4×C11—22no—
393C22×C4×C11—41no—
394C22×C4×C11—41no—
395C22×C4×C11—41no—
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
406C22×C4×C11C2411yescharacteristic
407C22×C4×C11C2411yescharacteristic
408C2×C22⋊D11—22no—
409C2×C22⋊D11—22no—
410C2×C22⋊D11—22no—
411C2×C22⋊D11—22no—
412C2×C22⋊D11—22no—
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—41no—
422C2×C22⋊D11—41no—
423C2×C22⋊D11—41no—
424C2×C22⋊D11—41no—
425C2×C22⋊D11—41no—
426C2×C22⋊D11—41no—
427C2×C22⋊D11—41no—
428C2×C22⋊D11—41no—
429C2×C22⋊D11—416no—
430C22×Dic11—22no—
431C22×Dic11—22no—
432C22×Dic11—41no—
433C22×Dic11—41no—
434C22×Dic11—41no—
435C22×Dic11—41no—
436C22×Dic11—41no—
437C22×Dic11—41no—
438C22×Dic11#4114yes—
439C22×Dic11C2411yescharacteristic
440C22×Dic11C2411yescharacteristic
441C22×Dic11C2411yescharacteristic
442C22×Dic11C2411yescharacteristic
443C22×Dic11C2411yescharacteristic
444C22×Dic11C2411yescharacteristic
445C22×Dic11C2411yescharacteristic
446C22×Dic11C2411yescharacteristic
447C22×Dic11C2411yescharacteristic
448C22×Dic11C2411yescharacteristic
449C22×Dic11C2411yescharacteristic
450C22×Dic11C2411yescharacteristic
451C22×Dic11C2411yescharacteristic
452C2×D44—22no—
453C2×D44—22no—
454C2×D44—22no—
455C2×D44—22no—
456C2×D44—41no—
457C2×D44—41no—
458C2×C4×D11—22no—
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—22no—
471C2×C4×D11—22no—
472C2×C4×D11—22no—
473C2×C4×D11—22no—
474C2×C4×D11—22no—
475C2×C4×D11—41no—
476C2×C4×D11—41no—
477C2×C4×D11—41no—
478C2×C4×D11—41no—
479C2×C4×D11—41no—
480C2×C4×D11—41no—
481C2×C4×D11—41no—
482C2×C4×D11—41no—
483C2×C4×D11—41no—
484C2×C4×D11—41no—
485C2×C4×D11—416no—
486C2×Dic22—22no—
487C2×Dic22—41no—
488C2×Dic22—41no—
489C11×C4⋊C4—22no—
490C11×C4⋊C4—41no—
491C11×C4⋊C4—41no—
492C11×C4⋊C4—41no—
493C11×C4⋊C4—41no—
494C11×C4⋊C4—41no—
495C11×C22⋊C4—22no—
496C11×C22⋊C4—22no—
497C11×C22⋊C4—22no—
498C11×C22⋊C4—22no—
499C11×C22⋊C4—22no—
500C11×C22⋊C4—22no—
501C11×C22⋊C4—41no—
502C11×C22⋊C4—41no—
503C11×C22⋊C4—41no—
504C11×C22⋊C4—41no—
505C11×C22⋊C4—41no—
506C11×C22⋊C4—41no—
507C11×C22⋊C4—41no—
508C11×C22⋊C4—41no—
509C11×C22⋊C4—41no—
510C11×C22⋊C4—41no—
511C42×C11—22no—
512C42×C11—41no—
513C22⋊Dic11—22no—
514C22⋊Dic11—22no—
515C22⋊Dic11—22no—
516C22⋊Dic11—22no—
517C22⋊Dic11—22no—
518C22⋊Dic11—22no—
519C22⋊Dic11—22no—
520C22⋊Dic11—22no—
521C22⋊Dic11—41no—
522C22⋊Dic11—41no—
523C22⋊Dic11—41no—
524C22⋊Dic11—41no—
525C22⋊Dic11#4114yes—
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)⋊C4—41no—
544(C2×D11)⋊C4—41no—
545(C2×D11)⋊C4—41no—
546(C2×D11)⋊C4—41no—
547(C2×D11)⋊C4—41no—
548(C2×D11)⋊C4—41no—
549C4⋊Dic11—22no—
550C4⋊Dic11—41no—
551C4⋊Dic11—41no—
552Dic11⋊C4—22no—
553Dic11⋊C4—22no—
554Dic11⋊C4—22no—
555Dic11⋊C4—41no—
556Dic11⋊C4—41no—
557Dic11⋊C4—41no—
558Dic11⋊C4—41no—
559Dic11⋊C4—41no—
560Dic11⋊C4—41no—
561Dic11⋊C4—41no—
562Dic11⋊C4—41no—
563Dic11⋊C4—41no—
564Dic11⋊C4—41no—
565C4×Dic11—22no—
566C4×Dic11—22no—
567C4×Dic11—41no—
568C4×Dic11—41no—
569C4×Dic11—41no—
570C4×Dic11—41no—
571C4×Dic11—41no—
572C4×Dic11—41no—
573C4×Dic11—41no—
574#2854—111no—
575#2853—111no—
576#2852—111no—
577#2850—111no—
578#2653—111no—
579#2649—111no—
580#2648—111no—
581#2648—111no—
582#2518—111no—
583#2518—111no—
584#2510—111no—
585#2510—111no—
586#2505—111no—
587#2488—111no—
588#2480D1111yescharacteristic, complemented
589#2472—111no—
590#2467—111no—
591#2459—111no—
592#2444—111no—
593#2437—111no—
594#2425—111no—
595#2412—111no—
596#2410—111no—
597#2405—111no—
598#2329—111no—
599#2321—111no—
600#2318—111no—
601#2312—111no—
602C4×#120—111no—
603C2×#386—111no—
604C2×C4×C22⋊C4—111no—
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—21no—
621C23×C11—21no—
622C23×C11—21no—
623C23×C11—44no—
624C23×C11—44no—
625C23×C11—44no—
626C23×C11—82no—
627C23×C11—82no—
628C23×C11—82no—
629C23×C11—82no—
630C23×C11C2×#4112yes—
631C23×C11C2×#4112yes—
632C23×C11C2×#4112yes—
633C23×C11C2511yescharacteristic
634C22×D11—21no—
635C22×D11—21no—
636C22×D11—21no—
637C22×D11—21no—
638C22×D11—28no—
639C22×D11—21no—
640C22×D11—21no—
641C22×D11—21no—
642C22×D11—21no—
643C22×D11—21no—
644C22×D11—21no—
645C22×D11—28no—
646C22×D11—21no—
647C22×D11—21no—
648C22×D11—21no—
649C22×D11—21no—
650C22×D11—21no—
651C22×D11—21no—
652C22×D11—21no—
653C22×D11—44no—
654C22×D11—44no—
655C22×D11—44no—
656C22×D11—44no—
657C22×D11—44no—
658C22×D11C2×#4112yes—
659C22×D11C2×#4112yes—
660C22×D11H(5,𝔽2)12yes—
661C22×D11H(5,𝔽2)12yes—
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—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—44no—
698C2×C4×C11—82no—
699C2×C4×C11H(5,𝔽2)12yes—
700C22⋊D11—44no—
701C22⋊D11—44no—
702C22⋊D11—44no—
703C22⋊D11—44no—
704C22⋊D11—44no—
705C22⋊D11—82no—
706C22⋊D11—82no—
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—21no—
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—21no—
740C2×Dic11—21no—
741C2×Dic11—21no—
742C2×Dic11—44no—
743C2×Dic11—44no—
744C2×Dic11—82no—
745C2×Dic11C2×#4112yes—
746C2×Dic11C2×#4112yes—
747C2×Dic11C2×#4112yes—
748C2×Dic11C2×#4112yes—
749D44—44no—
750D44—44no—
751C4×D11—28no—
752C4×D11—44no—
753C4×D11—44no—
754C4×D11—44no—
755C4×D11—44no—
756C4×D11—44no—
757C4×D11—44no—
758C4×D11—44no—
759C4×D11—82no—
760Dic22—82no—
761C23×D4—111no—
762C24×C4—111no—
763C2×#126C2×D1111yescharacteristic, complemented
764C2×#124—111no—
765C2×#123—111no—
766C2×#123—111no—
767C2×#123—111no—
768C2×C22⋊Q8—111no—
769C2×C22⋊Q8—111no—
770C2×#121—111no—
771C2×#121—111no—
772C2×#120—111no—
773C2×#120—111no—
774C2×C4×D4—111no—
775C2×C4×D4—111no—
776C2×C4×D4—111no—
777C22×C22⋊C4—111no—
778C22×C22⋊C4—111no—
779C22×C22⋊C4—111no—
780C22×C22⋊C4—111no—
781C22×C22⋊C4C2×D1111yescharacteristic
782C22×C42—111no—
783C22×C42—111no—
784#401—111no—
785#400—111no—
786#400—111no—
787#400—111no—
788#400—111no—
789#399—111no—
790#398—111no—
791#397—111no—
792#397—111no—
793#397—111no—
794#397—111no—
795#397—111no—
796#397C2×D1111yescharacteristic, complemented
797#397C2×D1111yescharacteristic, complemented
798#397C2×D1111yescharacteristic, complemented
799#396—111no—
800#396—111no—
801#396C2×D1111yescharacteristic, complemented
802#394—111no—
803#394—111no—
804#394—111no—
805#394—111no—
806#394—111no—
807#394—111no—
808#394—111no—
809#394—111no—
810#394—111no—
811#394—111no—
812#393—111no—
813#393—111no—
814#392—111no—
815#392—111no—
816#391—111no—
817#391—111no—
818#390—111no—
819#390—111no—
820#390—111no—
821#389—111no—
822#389—111no—
823#389—111no—
824#388—111no—
825#388—111no—
826#388—111no—
827#388—111no—
828#388—111no—
829#388—111no—
830#388—111no—
831#388—111no—
832#388—111no—
833#388—111no—
834#388—111no—
835#388—111no—
836#388—111no—
837#388—111no—
838#388—111no—
839#388—111no—
840#388—111no—
841#388—111no—
842#388C2×D1111yescharacteristic, complemented
843#388C2×D1111yescharacteristic, complemented
844#388C2×D1111yescharacteristic, complemented
845#387—111no—
846#387—111no—
847#387—111no—
848#387—111no—
849#387—111no—
850#387—111no—
851#387—111no—
852#387—111no—
853#387—111no—
854#386—111no—
855#386—111no—
856#386—111no—
857#386—111no—
858#386—111no—
859#386—111no—
860#386—111no—
861#386—111no—
862#386—111no—
863#386—111no—
864#386—111no—
865#386—111no—
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#385—111no—
876#385—111no—
877#385—111no—
878#385—111no—
879#385—111no—
880#385—111no—
881#385—111no—
882#385—111no—
883#385—111no—
884#385C2×D1111yescharacteristic
885#385C2×D1111yescharacteristic
886#383—111no—
887#383—111no—
888#382—111no—
889#382—111no—
890#381—111no—
891#381—111no—
892#380—111no—
893#380—111no—
894#380—111no—
895#380—111no—
896#380C2×D1111yescharacteristic
897#379—111no—
898#379—111no—
899#379C2×D1111yescharacteristic
900#379C2×D1111yescharacteristic
901C4×C22⋊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⋊C4C2×D1111yescharacteristic
912C2×#95—111no—
913C2×#95—111no—
914C2×#95—111no—
915C2×#95—111no—
916C22×C11—22no—
917C22×C11—22no—
918C22×C11—22no—
919C22×C11—22no—
920C22×C11—22no—
921C22×C11—22no—
922C22×C11—41no—
923C22×C11—41no—
924C22×C11—41no—
925C22×C11—41no—
926C22×C11—41no—
927C22×C11—41no—
928C22×C11—41no—
929C22×C11—41no—
930C22×C11—41no—
931C22×C11—41no—
932C22×C11—41no—
933C22×C11—41no—
934C22×C11—41no—
935C22×C11—41no—
936C22×C11—88no—
937C22×C11#52914yes—
938C22×C11C22×#4111yescharacteristic
939C22×C11C22×#4111yescharacteristic
940C22×C11C22×#4111yescharacteristic
941C22×C11C2×H(5,𝔽2)11yescharacteristic
942C22×C11C2×H(5,𝔽2)11yescharacteristic
943C22×C11C2×H(5,𝔽2)11yescharacteristic
944C22×C11#58511yescharacteristic
945C2×D11—22no—
946C2×D11—22no—
947C2×D11—22no—
948C2×D11—22no—
949C2×D11—22no—
950C2×D11—22no—
951C2×D11—22no—
952C2×D11—22no—
953C2×D11—22no—
954C2×D11—416no—
955C2×D11—41no—
956C2×D11—41no—
957C2×D11—41no—
958C2×D11—41no—
959C2×D11—41no—
960C2×D11—41no—
961C2×D11—41no—
962C2×D11—41no—
963C2×D11—41no—
964C2×D11—41no—
965C2×D11—41no—
966C2×D11#53814yes—
967C4×C11—22no—
968C4×C11—41no—
969C4×C11—41no—
970C4×C11—41no—
971C4×C11—41no—
972C4×C11—41no—
973C4×C11—41no—
974C4×C11—41no—
975C4×C11—41no—
976C4×C11—41no—
977C4×C11—41no—
978C4×C11—41no—
979Dic11—22no—
980Dic11—22no—
981Dic11—22no—
982Dic11—22no—
983Dic11—41no—
984Dic11—41no—
985Dic11—41no—
986Dic11—41no—
987Dic11—41no—
988Dic11—41no—
989Dic11—41no—
990Dic11—41no—
991Dic11—41no—
992C25—111no—
993C25C22×D1111yescharacteristic
994C22×Q8—111no—
995C22×D4—111no—
996C22×D4—111no—
997C22×D4—111no—
998C22×D4—111no—
999C22×D4—111no—
1000C22×D4—111no—
1001C22×D4—111no—
1002C22×D4—111no—
1003C22×D4—111no—
1004C22×D4—224no—
1005C22×D4—442no—
1006C22×D4—442no—
1007C23×C4—111no—
1008C23×C4—111no—
1009C23×C4—111no—
1010C23×C4—111no—
1011C23×C4—111no—
1012C23×C4—111no—
1013C23×C4—111no—
1014C23×C4—111no—
1015C23×C4—111no—
1016C23×C4—111no—
1017C23×C4—111no—
1018C23×C4—111no—
1019C23×C4—224no—
1020C23×C4—442no—
1021C23×C4—442no—
1022C23×C4C22×D1111yescharacteristic
1023C23×C4C22×D1111yescharacteristic
1024#126—42no—
1025#124—442no—
1026#123—442no—
1027#123—442no—
1028#123—442no—
1029C22⋊Q8—224no—
1030C22⋊Q8—442no—
1031#121—442no—
1032#121—442no—
1033#120—224no—
1034#120—224no—
1035C4×D4—224no—
1036C4×D4—442no—
1037C4×D4—442no—
1038C2×C4⋊C4—111no—
1039C2×C4⋊C4—111no—
1040C2×C4⋊C4—111no—
1041C2×C4⋊C4—111no—
1042C2×C4⋊C4—111no—
1043C2×C4⋊C4—111no—
1044C2×C4⋊C4—111no—
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⋊C4C22×D1111yescharacteristic
1055C2×C4⋊C4C22×D1111yescharacteristic
1056C2×C4⋊C4C22×D1111yescharacteristic
1057C2×C4⋊C4C22×D1111yescharacteristic
1058C2×C4⋊C4C22×D1111yescharacteristic
1059C2×C4⋊C4C22×D1111yescharacteristic
1060C2×C22⋊C4—42no—
1061C2×C22⋊C4—111no—
1062C2×C22⋊C4—111no—
1063C2×C22⋊C4—111no—
1064C2×C22⋊C4—111no—
1065C2×C22⋊C4—111no—
1066C2×C22⋊C4—111no—
1067C2×C22⋊C4—111no—
1068C2×C22⋊C4—111no—
1069C2×C22⋊C4—111no—
1070C2×C22⋊C4—111no—
1071C2×C22⋊C4—111no—
1072C2×C22⋊C4—111no—
1073C2×C22⋊C4—111no—
1074C2×C22⋊C4—111no—
1075C2×C22⋊C4—111no—
1076C2×C22⋊C4—111no—
1077C2×C22⋊C4—111no—
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—224no—
1098C2×C22⋊C4—224no—
1099C2×C22⋊C4—224no—
1100C2×C22⋊C4—442no—
1101C2×C22⋊C4C22×D1111yescharacteristic
1102C2×C22⋊C4C22×D1111yescharacteristic
1103C2×C22⋊C4C22×D1111yescharacteristic
1104C2×C22⋊C4C22×D1111yescharacteristic
1105C2×C22⋊C4C22×D1111yescharacteristic
1106C2×C22⋊C4C22×D1111yescharacteristic
1107C2×C22⋊C4C22×D1111yescharacteristic
1108C2×C22⋊C4C22×D1111yescharacteristic
1109C2×C22⋊C4C22×D1111yescharacteristic
1110C2×C22⋊C4C22×D1111yescharacteristic
1111C2×C22⋊C4C22×D1111yescharacteristic
1112C2×C22⋊C4C22×D1111yescharacteristic
1113C2×C22⋊C4C22×D1111yescharacteristic
1114C2×C22⋊C4C22×D1111yescharacteristic
1115C2×C22⋊C4C22×D1111yescharacteristic
1116C2×C22⋊C4C22×D1111yescharacteristic
1117C2×C42—111no—
1118C2×C42—111no—
1119C2×C42—111no—
1120C2×C42—111no—
1121C2×C42—111no—
1122C2×C42—111no—
1123C2×C42—111no—
1124C2×C42—111no—
1125C2×C42—111no—
1126C2×C42—442no—
1127C2×C42—442no—
1128C2×C42C22×D1111yescharacteristic
1129C2×C42C22×D1111yescharacteristic
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#95—111no—
1139#95—111no—
1140#95—111no—
1141#95—111no—
1142#95—111no—
1143#95—111no—
1144#95—111no—
1145#95—111no—
1146#95—111no—
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#95C22×D1111yescharacteristic
1167#95C22×D1111yescharacteristic
1168#95C22×D1111yescharacteristic
1169#95C22×D1111yescharacteristic
1170#95C22×D1111yescharacteristic
1171#95C22×D1111yescharacteristic
1172#95C22×D1111yescharacteristic
1173#95C22×D1111yescharacteristic
1174C2×C11—24no—
1175C2×C11—81no—
1176C2×C11—81no—
1177C2×C11C2×#52911yescharacteristic
1178C2×C11C2×#53811yescharacteristic
1179C2×C11#345911yescharacteristic
1180C2×C11#349011yescharacteristic
1181C2×C11#349411yescharacteristic
1182C2×C11#351311yescharacteristic
1183C2×C11#351911yescharacteristic
1184D11—24no—
1185D11—42no—
1186D11—81no—
1187C24—22no—
1188C24—22no—
1189C24—22no—
1190C24—41no—
1191C24—41no—
1192C24—41no—
1193C24—41no—
1194C24—111no—
1195C24—111no—
1196C24—114no—
1197C24—111no—
1198C24—222no—
1199C24—222no—
1200C24—222no—
1201C24—222no—
1202C24—441no—
1203C24—441no—
1204C24C23×D1111yescharacteristic
1205C24C23×D1111yescharacteristic
1206C24C23×D1111yescharacteristic
1207C2×Q8—222no—
1208C2×Q8—441no—
1209C2×Q8—441no—
1210C2×D4—222no—
1211C2×D4—222no—
1212C2×D4—222no—
1213C2×D4—222no—
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—222no—
1227C2×D4—441no—
1228C2×D4—441no—
1229C2×D4—441no—
1230C2×D4—441no—
1231C2×D4—441no—
1232C2×D4—441no—
1233C2×D4—441no—
1234C2×D4—441no—
1235C2×D4—441no—
1236C2×D4—441no—
1237C2×D4—4416no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—111no—
1245C22×C4—111no—
1246C22×C4—111no—
1247C22×C4—111no—
1248C22×C4—114no—
1249C22×C4—111no—
1250C22×C4—111no—
1251C22×C4—111no—
1252C22×C4—111no—
1253C22×C4—111no—
1254C22×C4—111no—
1255C22×C4—111no—
1256C22×C4—111no—
1257C22×C4—111no—
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—222no—
1270C22×C4—222no—
1271C22×C4—222no—
1272C22×C4—222no—
1273C22×C4—222no—
1274C22×C4—222no—
1275C22×C4—222no—
1276C22×C4—222no—
1277C22×C4—441no—
1278C22×C4—441no—
1279C22×C4—441no—
1280C22×C4—441no—
1281C22×C4—441no—
1282C22×C4—441no—
1283C22×C4—441no—
1284C22×C4—441no—
1285C22×C4—441no—
1286C22×C4—441no—
1287C22×C4—4416no—
1288C22×C4—441no—
1289C22×C4—441no—
1290C22×C4—441no—
1291C22×C4—441no—
1292C22×C4—441no—
1293C22×C4—441no—
1294C22×C4C23×D1111yescharacteristic
1295C22×C4C23×D1111yescharacteristic
1296C22×C4C23×D1111yescharacteristic
1297C22×C4C23×D1111yescharacteristic
1298C22×C4C23×D1111yescharacteristic
1299C22×C4C23×D1111yescharacteristic
1300C22×C4C23×D1111yescharacteristic
1301C22×C4C23×D1111yescharacteristic
1302C22×C4C23×D1111yescharacteristic
1303C22×C4C23×D1111yescharacteristic
1304C22×C4C23×D1111yescharacteristic
1305C22×C4C23×D1111yescharacteristic
1306C4⋊C4—22no—
1307C4⋊C4—41no—
1308C4⋊C4—41no—
1309C4⋊C4—41no—
1310C4⋊C4—41no—
1311C4⋊C4—41no—
1312C4⋊C4—222no—
1313C4⋊C4—222no—
1314C4⋊C4—222no—
1315C4⋊C4—222no—
1316C4⋊C4—441no—
1317C4⋊C4—441no—
1318C4⋊C4—441no—
1319C4⋊C4—441no—
1320C4⋊C4—441no—
1321C4⋊C4—441no—
1322C4⋊C4—441no—
1323C4⋊C4—441no—
1324C4⋊C4—441no—
1325C4⋊C4—441no—
1326C4⋊C4—441no—
1327C4⋊C4—441no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—114no—
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—441no—
1366C22⋊C4—441no—
1367C22⋊C4—441no—
1368C22⋊C4—441no—
1369C22⋊C4—441no—
1370C22⋊C4—441no—
1371C22⋊C4—441no—
1372C22⋊C4—441no—
1373C22⋊C4—441no—
1374C22⋊C4—441no—
1375C22⋊C4—441no—
1376C22⋊C4—441no—
1377C22⋊C4—441no—
1378C22⋊C4—441no—
1379C22⋊C4—441no—
1380C42—22no—
1381C42—41no—
1382C42—222no—
1383C42—222no—
1384C42—441no—
1385C42—441no—
1386C42—441no—
1387C42—441no—
1388C42—441no—
1389C42—441no—
1390C42—441no—
1391C11#3499811yescharacteristic, complemented, Sylow
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—44no—
1411C23—44no—
1412C23—44no—
1413C23—82no—
1414C23—82no—
1415C23—82no—
1416C23—82no—
1417C23—112no—
1418C23—112no—
1419C23—112no—
1420C23—112no—
1421C23—228no—
1422C23—221no—
1423C23—221no—
1424C23—221no—
1425C23—221no—
1426C23—228no—
1427C23—221no—
1428C23—221no—
1429C23—221no—
1430C23—221no—
1431C23—221no—
1432C23—221no—
1433C23—221no—
1434C23—221no—
1435C23—221no—
1436C23—221no—
1437C23—221no—
1438C23—221no—
1439C23—221no—
1440C23—444no—
1441C23—444no—
1442C23—444no—
1443C23—444no—
1444C23—444no—
1445C23#41×D1112yes—
1446C23#41×D1112yes—
1447C23#41×D1112yes—
1448C23C24×D1111yescharacteristic
1449Q8—882no—
1450D4—444no—
1451D4—444no—
1452D4—444no—
1453D4—444no—
1454D4—444no—
1455D4—444no—
1456D4—444no—
1457D4—882no—
1458D4—882no—
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—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—44no—
1495C2×C4—82no—
1496C2×C4—112no—
1497C2×C4—112no—
1498C2×C4—112no—
1499C2×C4—112no—
1500C2×C4—228no—
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—221no—
1531C2×C4—221no—
1532C2×C4—221no—
1533C2×C4—221no—
1534C2×C4—221no—
1535C2×C4—221no—
1536C2×C4—444no—
1537C2×C4—444no—
1538C2×C4—444no—
1539C2×C4—444no—
1540C2×C4—444no—
1541C2×C4—444no—
1542C2×C4—444no—
1543C2×C4—444no—
1544C2×C4—444no—
1545C2×C4—882no—
1546C2×C4—882no—
1547C2×C4#6703712yes—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—88no—
1569C22—114no—
1570C22—222no—
1571C22—222no—
1572C22—222no—
1573C22—222no—
1574C22—222no—
1575C22—222no—
1576C22—222no—
1577C22—222no—
1578C22—222no—
1579C22—4416no—
1580C22—441no—
1581C22—441no—
1582C22—441no—
1583C22—441no—
1584C22—441no—
1585C22—441no—
1586C22—441no—
1587C22—441no—
1588C22—441no—
1589C22—441no—
1590C22—441no—
1591C22#1062323714yes—
1592C22C2×#6703711yescharacteristic
1593C22C2×#41×D1111yescharacteristic
1594C22C2×#41×D1111yescharacteristic
1595C22C2×#41×D1111yescharacteristic
1596C22#1062345311yescharacteristic
1597C22D11×H(5,𝔽2)11yescharacteristic
1598C22D11×H(5,𝔽2)11yescharacteristic
1599C4—22no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—222no—
1612C4—222no—
1613C4—222no—
1614C4—222no—
1615C4—441no—
1616C4—441no—
1617C4—441no—
1618C4—441no—
1619C4—441no—
1620C4—441no—
1621C4—441no—
1622C4—441no—
1623C4—441no—
1624C2—24no—
1625C2—81no—
1626C2—81no—
1627C2—224no—
1628C2—442no—
1629C2—881no—
1630C2C2×#1062323711yescharacteristic
1631C2D11×#53811yescharacteristic
1632C2#1308202311yescharacteristic
1633C2#1308229811yescharacteristic
1634C2#1308234211yescharacteristic
1635C2#1308255311yescharacteristic
1636C2#1308264511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2480C2
prime radical#13071992C2
hypercenter#2480D11
hypocenterC11#34998
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2480

Complements

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

NH ≅ G/Ntype
1. #13076943C2semidirect
2. #13076936C2semidirect
3. #13076928C2semidirect
4. #13076914C2semidirect
5. #13074686C2semidirect
6. #13074624C2semidirect
7. #13074611C2semidirect
8. #13074609C2semidirect
9. #13073281C2semidirect
10. #13073272C2semidirect
11. #13073179C2semidirect
12. #13073170C2semidirect
13. #13073119C2semidirect
14. #13072945C2semidirect
15. #13072736C2semidirect
16. #13072663C2semidirect
17. #13072559C2semidirect
18. #13072369C2semidirect
19. #13072281C2semidirect
20. #13072162C2semidirect
21. #13072009C2semidirect
23. #13071941C2semidirect
24. #13071346C2semidirect
25. #13071271C2semidirect
26. #13071244C2semidirect
27. #13071212C2semidirect
28. #13071117C2semidirect
29. C2×#10622569C2semidirect
30. C4×C22⋊C4×D11C2semidirect
31. C11×#2480C2semidirect
34. C2×C11×#126C22semidirect
40. C2×#66949C22semidirect
41. C2×#66947C22semidirect
42. C2×#66946C22semidirect
43. C2×#66946C22semidirect
44. C2×#66938C22semidirect
53. C2×C42×D11C22semidirect
54. C2×C42×D11C22semidirect
55. C11×#397C22semidirect
56. C11×#397C22semidirect
57. C11×#397C22semidirect
58. C11×#396C22semidirect
59. C11×#388C22semidirect
60. C11×#388C22semidirect
61. C11×#388C22semidirect
74. #10622607C22semidirect
75. #10622606C22semidirect
76. #10622605C22semidirect
77. #10622604C22semidirect
78. #10622603C22semidirect
79. #10622602C22semidirect
80. #10622602C22semidirect
81. #10622602C22semidirect
82. #10622602C22semidirect
83. #10622600C22semidirect
84. #10622596C22semidirect
85. #10622595C22semidirect
86. #10622594C22semidirect
87. #10622591C22semidirect
88. #10622591C22semidirect
89. #10622591C22semidirect
90. #10622591C22semidirect
91. #10622590C22semidirect
92. #10622585C22semidirect
93. #10622585C22semidirect
96. #10622574C22semidirect
103. #10622572C22semidirect
106. #10622570C22semidirect
107. #10622570C22semidirect
108. #10622570C22semidirect
121. #10622569C22semidirect
122. #10622569C22semidirect
124. #10622565C22semidirect
125. #10622564C22semidirect
127. #10622560C22semidirect
131. #10622558C22semidirect
132. #10622558C22semidirect
133. #10622558C22semidirect
134. #10622558C22semidirect
135. #10622558C22semidirect
136. #10622558C22semidirect
137. #10622557C22semidirect
138. #10622557C22semidirect
139. #10622557C22semidirect
140. #10622557C22semidirect
141. #10622557C22semidirect
142. #10622557C22semidirect
143. #10622557C22semidirect
149. #10622553C22semidirect
150. #10622553C22semidirect
151. C4×(C2×D11)⋊C4C22semidirect
152. C4×(C2×D11)⋊C4C22semidirect
153. #10622550C22semidirect
154. #10622546C22semidirect
155. #10622289C22semidirect
156. #10622288C22semidirect
157. #10622288C22semidirect
158. #10622288C22semidirect
159. #10622286C22semidirect
160. #10622285C22semidirect
161. #10622283C22semidirect
162. #10622281C22semidirect
163. #10622280C22semidirect
164. #10622279C22semidirect
165. #10622279C22semidirect
166. #10622279C22semidirect
167. #10622279C22semidirect
168. #10622278C22semidirect
169. #10622278C22semidirect
170. #10622278C22semidirect
171. #10622277C22semidirect
172. #10622277C22semidirect
173. D11×#95C22semidirect
174. D11×#95C22semidirect
175. C11⋊#401C22semidirect
176. #10622272C22semidirect
177. #10622271C22semidirect
178. #10622271C22semidirect
179. #10622268C22semidirect
180. #10622266C22semidirect
181. #10622266C22semidirect
182. #10622264C22semidirect
183. #10622263C22semidirect
184. #10622260C22semidirect
185. #10622259C22semidirect
186. #10622259C22semidirect
588. #2480D11semidirect
763. C2×#126C2×D11semidirect
796. #397C2×D11semidirect
797. #397C2×D11semidirect
798. #397C2×D11semidirect
801. #396C2×D11semidirect
842. #388C2×D11semidirect
843. #388C2×D11semidirect
844. #388C2×D11semidirect
1391. C11#34998semidirect

Maximal subgroups

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

subgroupindex
#130769432
#130769362
#130769282
#130769142
#130746862
#130746242
#130746112
#130746092
#130732812
#130732722
#130731792
#130731702
#130731192
#130729452
#130727362
#130726632
#130725592
#130723692
#130722812
#130721622
#130720092
#130719922
#130719412
#130713462
#130712712
#130712442
#130712122
#130711172
C2×#106225692
C4×C22⋊C4×D112
C11×#24802
#3499811