Finite Group Databasebeta

← #14967947

Subgroups — #14967947

Order 2816.

1994 conjugacy classes of subgroups.

The subgroup lattice has 1600 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076946C211yesmaximal, characteristic, complemented
2#13076940C211yesmaximal, characteristic, complemented
3#13076475C211yesmaximal, characteristic, complemented
4#13076253C211yesmaximal, characteristic, complemented
5#13076250C211yesmaximal, characteristic, complemented
6#13076235C211yesmaximal, characteristic, complemented
7#13076133C211yesmaximal, characteristic, complemented
8#13076052C211yesmaximal, characteristic, complemented
9#13075887C211yesmaximal, characteristic, complemented
10#13075868C211yesmaximal, characteristic, complemented
11#13075855C211yesmaximal, characteristic, complemented
12#13075736C211yesmaximal, characteristic, complemented
13#13075660C211yesmaximal, characteristic, complemented
14#13075651C211yesmaximal, characteristic, complemented
15#13075240C211yesmaximal, characteristic, complemented
16#13075175C211yesmaximal, characteristic, complemented
17#13075002C211yesmaximal, characteristic, complemented
18#13074568C211yesmaximal, characteristic, complemented
19#13074545C211yesmaximal, characteristic, complemented
20#13072935C211yesmaximal, characteristic, complemented
21#13072880C211yesmaximal, characteristic, complemented
22#13072348C211yesmaximal, characteristic, complemented
23#13072279C211yesmaximal, characteristic, complemented
24#13072164C211yesmaximal, characteristic, complemented
25#13072011C211yesmaximal, characteristic, complemented
26#13071983C211yesmaximal, characteristic
27#13071938C211yesmaximal, characteristic, complemented
28#13071272C211yesmaximal, characteristic, complemented
29#13071190C211yesmaximal, characteristic, complemented
30D11×#388C211yesmaximal, characteristic, complemented
31C11×#2696C211yesmaximal, characteristic, complemented
32C22×D4×D11C2211yescharacteristic
33C2×C11×#123C2211yescharacteristic, complemented
34C2×C11×C22⋊Q8C2211yescharacteristic, complemented
35C2×#66999C2211yescharacteristic, complemented
36C2×#66991C2211yescharacteristic
37C2×#66990C2211yescharacteristic
38C2×#66990C2211yescharacteristic
39C2×C4×C22⋊D11C2211yescharacteristic, complemented
40C22×(C2×D11)⋊C4C2211yescharacteristic
41C2×#66951C2211yescharacteristic, complemented
42C2×#66947C2211yescharacteristic
43C2×C4⋊C4×D11C2211yescharacteristic, complemented
44C2×#66937C2211yescharacteristic
45C2×#66936C2211yescharacteristic
46C2×#66936C2211yescharacteristic, complemented
47C2×C22⋊C4×D11C2211yescharacteristic
48C2×C22⋊C4×D11C2211yescharacteristic
49C2×C22⋊C4×D11C2211yescharacteristic
50C2×C42×D11C2211yescharacteristic, complemented
51C11×#400C2211yescharacteristic, complemented
52C11×#397C2211yescharacteristic, complemented
53C11×#394C2211yescharacteristic
54C11×#393C2211yescharacteristic, complemented
55C11×#393C2211yescharacteristic, complemented
56C11×#392C2211yescharacteristic
57C11×#390C2211yescharacteristic, complemented
58C11×#388C2211yescharacteristic, complemented
59C11×#387C2211yescharacteristic, complemented
60C11×#386C2211yescharacteristic
61C11×#386C2211yescharacteristic, complemented
62C11×#386C2211yescharacteristic, complemented
63C11×#380C2211yescharacteristic, complemented
64#10622844C2211yescharacteristic
65#10622844C2211yescharacteristic, complemented
66#10622843C2211yescharacteristic, complemented
67#10622836C2211yescharacteristic
68#10622835C2211yescharacteristic
69#10622835C2211yescharacteristic
70#10622835C2211yescharacteristic, complemented
71#10622834C2211yescharacteristic, complemented
72#10622834C2211yescharacteristic, complemented
73#10622833C2211yescharacteristic
74#10622833C2211yescharacteristic, complemented
75#10622826C2211yescharacteristic
76#10622826C2211yescharacteristic
77#10622826C2211yescharacteristic, complemented
78#10622825C2211yescharacteristic, complemented
79#10622823C2211yescharacteristic, complemented
80#10622823C2211yescharacteristic, complemented
81#10622607C2211yescharacteristic
82#10622607C2211yescharacteristic
83#10622607C2211yescharacteristic, complemented
84#10622607C2211yescharacteristic, complemented
85#10622605C2211yescharacteristic
86#10622603C2211yescharacteristic
87#10622603C2211yescharacteristic, complemented
88#10622602C2211yescharacteristic
89#10622602C2211yescharacteristic, complemented
90#10622602C2211yescharacteristic, complemented
91#10622600C2211yescharacteristic, complemented
92#10622599C2211yescharacteristic, complemented
93#10622598C2211yescharacteristic, complemented
94#10622597C2211yescharacteristic, complemented
95#10622594C2211yescharacteristic, complemented
96#10622593C2211yescharacteristic, complemented
97#10622591C2211yescharacteristic, complemented
98#10622574C2211yescharacteristic
99#10622574C2211yescharacteristic
100#10622574C2211yescharacteristic
101#10622572C2211yescharacteristic
102#10622572C2211yescharacteristic
103#10622572C2211yescharacteristic, complemented
104#10622572C2211yescharacteristic, complemented
105#10622572C2211yescharacteristic, complemented
106#10622571C2211yescharacteristic
107#10622570C2211yescharacteristic
108#10622569C2211yescharacteristic
109#10622569C2211yescharacteristic
110#10622569C2211yescharacteristic
111#10622569C2211yescharacteristic
112#10622569C2211yescharacteristic
113#10622569C2211yescharacteristic, complemented
114#10622569C2211yescharacteristic, complemented
115#10622568C2211yescharacteristic
116#10622568C2211yescharacteristic
117#10622568C2211yescharacteristic
118#10622568C2211yescharacteristic
119#10622568C2211yescharacteristic
120#10622568C2211yescharacteristic
121#10622566C2211yescharacteristic, complemented
122#10622566C2211yescharacteristic, complemented
123#10622566C2211yescharacteristic, complemented
124#10622565C2211yescharacteristic, complemented
125#10622565C2211yescharacteristic, complemented
126#10622565C2211yescharacteristic, complemented
127#10622564C2211yescharacteristic, complemented
128#10622564C2211yescharacteristic, complemented
129#10622564C2211yescharacteristic, complemented
130#10622564C2211yescharacteristic, complemented
131#10622563C2211yescharacteristic, complemented
132#10622562C2211yescharacteristic, complemented
133#10622561C2211yescharacteristic, complemented
134#10622558C2211yescharacteristic, complemented
135#10622558C2211yescharacteristic, complemented
136#10622558C2211yescharacteristic, complemented
137#10622558C2211yescharacteristic, complemented
138#10622558C2211yescharacteristic, complemented
139#10622557C2211yescharacteristic, complemented
140#10622557C2211yescharacteristic, complemented
141#10622557C2211yescharacteristic, complemented
142#10622555C2211yescharacteristic, complemented
143#10622555C2211yescharacteristic, complemented
144#10622553C2211yescharacteristic
145#10622553C2211yescharacteristic, complemented
146#10622541C2211yescharacteristic, complemented
147#10622288C2211yescharacteristic
148#10622288C2211yescharacteristic, complemented
149#10622287C2211yescharacteristic
150#10622287C2211yescharacteristic, complemented
151#10622283C2211yescharacteristic
152#10622283C2211yescharacteristic
153#10622283C2211yescharacteristic, complemented
154#10622283C2211yescharacteristic, complemented
155#10622282C2211yescharacteristic
156#10622282C2211yescharacteristic
157#10622282C2211yescharacteristic, complemented
158#10622282C2211yescharacteristic, complemented
159#10622281C2211yescharacteristic
160#10622281C2211yescharacteristic
161#10622281C2211yescharacteristic, complemented
162#10622281C2211yescharacteristic, complemented
163#10622279C2211yescharacteristic, complemented
164#10622278C2211yescharacteristic
165#10622278C2211yescharacteristic
166#10622278C2211yescharacteristic
167#10622278C2211yescharacteristic
168#10622277C2211yescharacteristic
169#10622277C2211yescharacteristic
170#10622277C2211yescharacteristic, complemented
171D11×#95C2211yescharacteristic, complemented
172D11×#95C2211yescharacteristic, complemented
173C11⋊#401C2211yescharacteristic, complemented
174#10622273C2211yescharacteristic, complemented
175#10622273C2211yescharacteristic, complemented
176#10622273C2211yescharacteristic, complemented
177#10622272C2211yescharacteristic, complemented
178#10622271C2211yescharacteristic, complemented
179#10622271C2211yescharacteristic, complemented
180#10622271C2211yescharacteristic, complemented
181#10622268C2211yescharacteristic, complemented
182#10622268C2211yescharacteristic, complemented
183#10622267C2211yescharacteristic, complemented
184#10622265C2211yescharacteristic, complemented
185#10622263C2211yescharacteristic, complemented
186#10622260C2211yescharacteristic, complemented
187C24×D11C2311yescharacteristic
188C24×D11C2311yescharacteristic
189C22×Q8×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C23×Dic11C2311yescharacteristic
201C2×D4×D11—24no—
202C2×D4×D11—42no—
203C2×D4×D11—42no—
204C22×D44C2311yescharacteristic
205C22×C4×D11C2311yescharacteristic
206C22×C4×D11C2311yescharacteristic
207C22×C4×D11C2311yescharacteristic
208C22×C4×D11C2311yescharacteristic
209C22×C4×D11C2311yescharacteristic
210C22×C4×D11C2311yescharacteristic
211C22×C4×D11C2311yescharacteristic
212C11×#123—42no—
213C11×C22⋊Q8—42no—
214C2×C11×C4⋊C4C2311yescharacteristic
215C2×C11×C4⋊C4C2311yescharacteristic
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C4⋊C4C2311yescharacteristic
219C2×C11×C22⋊C4C2311yescharacteristic
220C2×C11×C22⋊C4C2311yescharacteristic
221C2×C11×C22⋊C4C2311yescharacteristic
222C2×C11×C22⋊C4C2311yescharacteristic
223C2×C11×C22⋊C4C2311yescharacteristic
224C2×C11×C22⋊C4C2311yescharacteristic
225C2×C11×C22⋊C4C2311yescharacteristic
226C2×C11×C22⋊C4C2311yescharacteristic
227C2×C11×C22⋊C4C2311yescharacteristic
228C2×C11×C22⋊C4C2311yescharacteristic
229C2×C11×C22⋊C4C2311yescharacteristic
230C2×C11×C22⋊C4C2311yescharacteristic
231C2×C11×C22⋊C4C2311yescharacteristic
232C2×C42×C11C2311yescharacteristic
233C2×C22⋊Dic11C2311yescharacteristic
234C2×C22⋊Dic11C2311yescharacteristic
235C2×C22⋊Dic11C2311yescharacteristic
236C2×C22⋊Dic11C2311yescharacteristic
237C2×C22⋊Dic11C2311yescharacteristic
238C2×C22⋊Dic11C2311yescharacteristic
239C2×C22⋊Dic11C2311yescharacteristic
240C2×C22⋊Dic11C2311yescharacteristic
241C2×C22⋊Dic11C2311yescharacteristic
242C2×C22⋊Dic11C2311yescharacteristic
243C2×C22⋊Dic11C2311yescharacteristic
244C2×C22⋊Dic11C2311yescharacteristic
245C2×C22⋊Dic11C2311yescharacteristic
246C2×C22⋊Dic11C2311yescharacteristic
247C2×C22⋊Dic11C2311yescharacteristic
248C2×C22⋊Dic11C2311yescharacteristic
249#66999—42no—
250#66991—42no—
251#66990—24no—
252#66990—42no—
253C4×C22⋊D11—42no—
254C2×(C2×D11)⋊C4—42no—
255C2×(C2×D11)⋊C4C2311yescharacteristic
256C2×(C2×D11)⋊C4C2311yescharacteristic
257C2×(C2×D11)⋊C4C2311yescharacteristic
258C2×(C2×D11)⋊C4C2311yescharacteristic
259C2×(C2×D11)⋊C4C2311yescharacteristic
260C2×(C2×D11)⋊C4C2311yescharacteristic
261C2×(C2×D11)⋊C4C2311yescharacteristic
262C2×(C2×D11)⋊C4C2311yescharacteristic
263C2×(C2×D11)⋊C4C2311yescharacteristic
264C2×(C2×D11)⋊C4C2311yescharacteristic
265C2×(C2×D11)⋊C4C2311yescharacteristic
266C2×(C2×D11)⋊C4C2311yescharacteristic
267C2×(C2×D11)⋊C4C2311yescharacteristic
268C2×(C2×D11)⋊C4C2311yescharacteristic
269C2×(C2×D11)⋊C4C2311yescharacteristic
270C2×(C2×D11)⋊C4C2311yescharacteristic
271C2×(C2×D11)⋊C4C2311yescharacteristic
272C2×(C2×D11)⋊C4C2311yescharacteristic
273C2×(C2×D11)⋊C4C2311yescharacteristic
274C2×(C2×D11)⋊C4C2311yescharacteristic
275C2×(C2×D11)⋊C4C2311yescharacteristic
276C2×(C2×D11)⋊C4C2311yescharacteristic
277C2×(C2×D11)⋊C4C2311yescharacteristic
278C2×(C2×D11)⋊C4C2311yescharacteristic
279C2×(C2×D11)⋊C4C2311yescharacteristic
280C2×(C2×D11)⋊C4C2311yescharacteristic
281C2×(C2×D11)⋊C4C2311yescharacteristic
282C2×C4⋊Dic11C2311yescharacteristic
283C2×C4⋊Dic11C2311yescharacteristic
284C2×C4⋊Dic11C2311yescharacteristic
285C2×C4⋊Dic11C2311yescharacteristic
286C2×C4⋊Dic11C2311yescharacteristic
287C2×C4⋊Dic11C2311yescharacteristic
288C2×C4⋊Dic11C2311yescharacteristic
289C2×C4⋊Dic11C2311yescharacteristic
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×Dic11C2311yescharacteristic
304C2×C4×Dic11C2311yescharacteristic
305C2×C4×Dic11C2311yescharacteristic
306C2×C4×Dic11C2311yescharacteristic
307C2×C4×Dic11C2311yescharacteristic
308C2×C4×Dic11C2311yescharacteristic
309#66951—42no—
310#66947—42no—
311C4⋊C4×D11—42no—
312#66937—42no—
313#66936—42no—
314#66936—42no—
315C22⋊C4×D11—24no—
316C22⋊C4×D11—42no—
317C22⋊C4×D11—42no—
318C42×D11—42no—
319C11×#95C2311yescharacteristic
320C11×#95C2311yescharacteristic
321C11×#95C2311yescharacteristic
322C11×#95C2311yescharacteristic
323C11×#95C2311yescharacteristic
324C11×#95C2311yescharacteristic
325C11×#95C2311yescharacteristic
326C11×#95C2311yescharacteristic
327C11×#95C2311yescharacteristic
328C11×#95C2311yescharacteristic
329C11⋊#95C2311yescharacteristic
330C11⋊#95C2311yescharacteristic
331C11⋊#95C2311yescharacteristic
332C11⋊#95C2311yescharacteristic
333C11⋊#95C2311yescharacteristic
334C11⋊#95C2311yescharacteristic
335C11⋊#95C2311yescharacteristic
336C11⋊#95C2311yescharacteristic
337C11⋊#95C2311yescharacteristic
338C11⋊#95C2311yescharacteristic
339C11⋊#95C2311yescharacteristic
340C11⋊#95C2311yescharacteristic
341C11⋊#95C2311yescharacteristic
342C11⋊#95C2311yescharacteristic
343C11⋊#95C2311yescharacteristic
344C11⋊#95C2311yescharacteristic
345C11⋊#95C2311yescharacteristic
346C11⋊#95C2311yescharacteristic
347C11⋊#95C2311yescharacteristic
348C11⋊#95C2311yescharacteristic
349C11⋊#95C2311yescharacteristic
350C11⋊#95C2311yescharacteristic
351C11⋊#95C2311yescharacteristic
352C11⋊#95C2311yescharacteristic
353C11⋊#95C2311yescharacteristic
354C11⋊#95C2311yescharacteristic
355C11⋊#95C2311yescharacteristic
356C11⋊#95C2311yescharacteristic
357C11⋊#95C2311yescharacteristic
358C11⋊#95C2311yescharacteristic
359C11⋊#95C2311yescharacteristic
360C11⋊#95C2311yescharacteristic
361C11⋊#95C2311yescharacteristic
362C11⋊#95C2311yescharacteristic
363#36986—111nomaximal, Sylow
364C24×C11C2411yescharacteristic
365C24×C11C2411yescharacteristic
366C24×C11C2411yescharacteristic
367C23×D11—22no—
368C23×D11—22no—
369C23×D11—22no—
370C23×D11—41no—
371C23×D11—41no—
372C23×D11—41no—
373C23×D11—41no—
374C23×D11—41no—
375C23×D11—41no—
376C23×D11—41no—
377C23×D11—41no—
378C23×D11—41no—
379C23×D11—41no—
380C23×D11#4114yes—
381C23×D11C2411yescharacteristic
382C23×D11C2411yescharacteristic
383C23×D11C2411yescharacteristic
384C2×Q8×C11—41no—
385C2×Q8×C11—41no—
386C2×Q8×C11—41no—
387C2×D4×C11—22no—
388C2×D4×C11—22no—
389C2×D4×C11—22no—
390C2×D4×C11—41no—
391C2×D4×C11—41no—
392C2×D4×C11—41no—
393C2×D4×C11—41no—
394C2×D4×C11—41no—
395C2×D4×C11—41no—
396C22×C4×C11—41no—
397C22×C4×C11—41no—
398C22×C4×C11—41no—
399C22×C4×C11—41no—
400C22×C4×C11—41no—
401C22×C4×C11—41no—
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
413C22×C4×C11C2411yescharacteristic
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—
425C2×C22⋊D11—41no—
426C2×C22⋊D11—41no—
427C2×C22⋊D11—41no—
428C2×C22⋊D11—41no—
429C22×Dic11—41no—
430C22×Dic11—41no—
431C22×Dic11—41no—
432C22×Dic11C2411yescharacteristic
433C22×Dic11C2411yescharacteristic
434C22×Dic11C2411yescharacteristic
435C22×Dic11C2411yescharacteristic
436C22×Dic11C2411yescharacteristic
437C22×Dic11C2411yescharacteristic
438C22×Dic11C2411yescharacteristic
439C22×Dic11C2411yescharacteristic
440C22×Dic11C2411yescharacteristic
441C22×Dic11C2411yescharacteristic
442C22×Dic11C2411yescharacteristic
443C22×Dic11C2411yescharacteristic
444C22×Dic11C2411yescharacteristic
445D4×D11—416no—
446C2×D44—22no—
447C2×D44—22no—
448C2×D44—22no—
449C2×C4×D11—22no—
450C2×C4×D11—22no—
451C2×C4×D11—22no—
452C2×C4×D11—22no—
453C2×C4×D11—22no—
454C2×C4×D11—22no—
455C2×C4×D11—22no—
456C2×C4×D11—22no—
457C2×C4×D11—22no—
458C2×C4×D11—22no—
459C2×C4×D11—41no—
460C2×C4×D11—41no—
461C2×C4×D11—41no—
462C2×C4×D11—41no—
463C2×C4×D11—41no—
464C2×C4×D11—41no—
465C2×C4×D11—41no—
466C2×C4×D11—41no—
467C2×C4×D11—41no—
468C2×C4×D11—41no—
469C2×C4×D11—41no—
470C11×C4⋊C4—22no—
471C11×C4⋊C4—22no—
472C11×C4⋊C4—22no—
473C11×C4⋊C4—41no—
474C11×C4⋊C4—41no—
475C11×C22⋊C4—22no—
476C11×C22⋊C4—22no—
477C11×C22⋊C4—41no—
478C11×C22⋊C4—41no—
479C11×C22⋊C4—41no—
480C11×C22⋊C4—41no—
481C11×C22⋊C4—41no—
482C11×C22⋊C4—41no—
483C11×C22⋊C4—41no—
484C11×C22⋊C4—41no—
485C11×C22⋊C4—41no—
486C11×C22⋊C4—41no—
487C11×C22⋊C4—41no—
488C42×C11—41no—
489C22⋊Dic11—22no—
490C22⋊Dic11—22no—
491C22⋊Dic11—41no—
492C22⋊Dic11—41no—
493C22⋊Dic11—41no—
494C22⋊Dic11—41no—
495C22⋊Dic11—41no—
496C22⋊Dic11—41no—
497C22⋊Dic11—41no—
498C22⋊Dic11—41no—
499C22⋊Dic11—41no—
500C22⋊Dic11—41no—
501C22⋊Dic11—41no—
502C22⋊Dic11—41no—
503C22⋊Dic11—41no—
504C22⋊Dic11—41no—
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—41no—
516(C2×D11)⋊C4—41no—
517(C2×D11)⋊C4—41no—
518(C2×D11)⋊C4—41no—
519(C2×D11)⋊C4—41no—
520(C2×D11)⋊C4—41no—
521(C2×D11)⋊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—41no—
527(C2×D11)⋊C4—41no—
528(C2×D11)⋊C4—41no—
529(C2×D11)⋊C4—41no—
530(C2×D11)⋊C4—41no—
531(C2×D11)⋊C4—41no—
532C4⋊Dic11—41no—
533C4⋊Dic11—41no—
534C4⋊Dic11—41no—
535C4⋊Dic11—41no—
536C4⋊Dic11—41no—
537C4⋊Dic11—41no—
538C4⋊Dic11—41no—
539C4⋊Dic11—41no—
540Dic11⋊C4—22no—
541Dic11⋊C4—41no—
542Dic11⋊C4—41no—
543Dic11⋊C4—41no—
544Dic11⋊C4—41no—
545Dic11⋊C4—41no—
546Dic11⋊C4—41no—
547Dic11⋊C4—41no—
548Dic11⋊C4—41no—
549Dic11⋊C4—41no—
550Dic11⋊C4—41no—
551Dic11⋊C4—41no—
552Dic11⋊C4—41no—
553C4×Dic11—41no—
554C4×Dic11—41no—
555C4×Dic11—41no—
556C4×Dic11—41no—
557C4×Dic11—41no—
558C4×Dic11—41no—
559#2854—111no—
560#2853—111no—
561#2797—111no—
562#2779—111no—
563#2779—111no—
564#2778—111no—
565#2771—111no—
566#2765—111no—
567#2753—111no—
568#2751—111no—
569#2750—111no—
570#2741—111no—
571#2736—111no—
572#2735—111no—
573#2702—111no—
574#2697—111no—
575#2696D1111yescharacteristic, complemented
576#2685—111no—
577#2643—111no—
578#2639—111no—
579#2488—111no—
580#2481—111no—
581#2443—111no—
582#2437—111no—
583#2425—111no—
584#2412—111no—
585#2410—111no—
586#2405—111no—
587#2321—111no—
588#2308—111no—
589C2×#388—111no—
590C23×C11—21no—
591C23×C11—21no—
592C23×C11—21no—
593C23×C11—21no—
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×C11—21no—
605C23×C11—21no—
606C23×C11—21no—
607C23×C11—21no—
608C23×C11—21no—
609C23×C11—21no—
610C23×C11C2×#4112yes—
611C23×C11C2511yescharacteristic
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—28no—
623C22×D11—21no—
624C22×D11—21no—
625C22×D11—21no—
626C22×D11—21no—
627C22×D11—21no—
628C22×D11—21no—
629C22×D11—21no—
630C22×D11—44no—
631C22×D11—44no—
632C22×D11—44no—
633C22×D11—82no—
634C22×D11—82no—
635C22×D11—82no—
636C22×D11—82no—
637C22×D11—82no—
638C22×D11—82no—
639C22×D11—82no—
640C22×D11—82no—
641C22×D11—82no—
642C22×D11—82no—
643C22×D11C2×#4112yes—
644C22×D11C2×#4112yes—
645C22×D11H(5,𝔽2)12yes—
646C22×D11H(5,𝔽2)12yes—
647Q8×C11—82no—
648D4×C11—44no—
649D4×C11—82no—
650D4×C11—82no—
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—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—82no—
687C2×C4×C11—82no—
688C2×C4×C11H(5,𝔽2)12yes—
689C22⋊D11—44no—
690C22⋊D11—44no—
691C22⋊D11—44no—
692C22⋊D11—82no—
693C22⋊D11—82no—
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—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—82no—
734D44—44no—
735C4×D11—44no—
736C4×D11—44no—
737C4×D11—44no—
738C4×D11—44no—
739C4×D11—44no—
740C4×D11—82no—
741C4×D11—82no—
742C23×D4—111no—
743C2×#126—111no—
744C2×#123—111no—
745C2×#123—111no—
746C2×#123—111no—
747C2×#123C2×D1111yescharacteristic, complemented
748C2×C22⋊Q8—111no—
749C2×C22⋊Q8C2×D1111yescharacteristic, complemented
750C2×#121—111no—
751C2×#121—111no—
752C2×#120—111no—
753C2×#120—111no—
754C2×C4×D4—111no—
755C22×C4⋊C4—111no—
756C22×C22⋊C4—111no—
757C22×C22⋊C4—111no—
758C22×C22⋊C4—111no—
759C22×C22⋊C4—111no—
760C22×C42—111no—
761#401—111no—
762#400—111no—
763#400—111no—
764#400—111no—
765#400—111no—
766#400—111no—
767#400—111no—
768#400—111no—
769#400—111no—
770#400C2×D1111yescharacteristic, complemented
771#399—111no—
772#399—111no—
773#398—111no—
774#398—111no—
775#397—111no—
776#397—111no—
777#397—111no—
778#397—111no—
779#397—111no—
780#397—111no—
781#397—111no—
782#397—111no—
783#397—111no—
784#397—111no—
785#397C2×D1111yescharacteristic, complemented
786#396—111no—
787#396—111no—
788#396—111no—
789#396—111no—
790#396—111no—
791#394—111no—
792#394—111no—
793#394—111no—
794#394—111no—
795#394—111no—
796#394—111no—
797#394—111no—
798#394—111no—
799#394—111no—
800#394—111no—
801#394—111no—
802#394C2×D1111yescharacteristic
803#393—111no—
804#393—111no—
805#393C2×D1111yescharacteristic, complemented
806#393C2×D1111yescharacteristic, complemented
807#392—111no—
808#392C2×D1111yescharacteristic
809#391—111no—
810#390—111no—
811#390—111no—
812#390—111no—
813#390C2×D1111yescharacteristic, complemented
814#389—111no—
815#389—111no—
816#389—111no—
817#388—111no—
818#388—111no—
819#388—111no—
820#388—111no—
821#388—111no—
822#388—111no—
823#388—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#388C2×D1111yescharacteristic, complemented
842#387—111no—
843#387—111no—
844#387—111no—
845#387—111no—
846#387—111no—
847#387—111no—
848#387C2×D1111yescharacteristic, complemented
849#386—111no—
850#386—111no—
851#386—111no—
852#386—111no—
853#386—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#386C2×D1111yescharacteristic
867#386C2×D1111yescharacteristic, complemented
868#386C2×D1111yescharacteristic, complemented
869#385—111no—
870#385—111no—
871#385—111no—
872#385—111no—
873#385—111no—
874#385—111no—
875#385—111no—
876#385—111no—
877#385—111no—
878#385—111no—
879#382—111no—
880#381—111no—
881#381—111no—
882#381—111no—
883#380—111no—
884#380—111no—
885#380—111no—
886#380—111no—
887#380C2×D1111yescharacteristic, complemented
888#379—111no—
889#379—111no—
890#379—111no—
891#379—111no—
892#379—111no—
893#379—111no—
894C4×C22⋊C4—111no—
895C2×#95—111no—
896C2×#95—111no—
897C22×C11—22no—
898C22×C11—22no—
899C22×C11—22no—
900C22×C11—41no—
901C22×C11—41no—
902C22×C11—41no—
903C22×C11—41no—
904C22×C11—41no—
905C22×C11—41no—
906C22×C11—41no—
907C22×C11—41no—
908C22×C11—41no—
909C22×C11—41no—
910C22×C11—41no—
911C22×C11—41no—
912C22×C11—41no—
913C22×C11—41no—
914C22×C11—41no—
915C22×C11—41no—
916C22×C11—41no—
917C22×C11—41no—
918C22×C11C22×#4111yescharacteristic
919C22×C11C2×H(5,𝔽2)11yescharacteristic
920C22×C11C2×H(5,𝔽2)11yescharacteristic
921C22×C11C2×H(5,𝔽2)11yescharacteristic
922C22×C11#58511yescharacteristic
923C22×C11#58511yescharacteristic
924C22×C11#58511yescharacteristic
925C2×D11—22no—
926C2×D11—22no—
927C2×D11—22no—
928C2×D11—22no—
929C2×D11—22no—
930C2×D11—22no—
931C2×D11—22no—
932C2×D11—22no—
933C2×D11—22no—
934C2×D11—41no—
935C2×D11—41no—
936C2×D11—41no—
937C2×D11—41no—
938C2×D11—41no—
939C2×D11—41no—
940C2×D11—41no—
941C2×D11—41no—
942C2×D11—41no—
943C2×D11—41no—
944C2×D11—41no—
945C2×D11—88no—
946C2×D11—88no—
947C2×D11#53814yes—
948C4×C11—22no—
949C4×C11—41no—
950C4×C11—41no—
951C4×C11—41no—
952C4×C11—41no—
953C4×C11—41no—
954C4×C11—41no—
955C4×C11—41no—
956C4×C11—41no—
957C4×C11—41no—
958C4×C11—41no—
959C4×C11—41no—
960Dic11—41no—
961Dic11—41no—
962Dic11—41no—
963Dic11—41no—
964Dic11—41no—
965Dic11—41no—
966Dic11—41no—
967Dic11—41no—
968Dic11—41no—
969Dic11—41no—
970Dic11—41no—
971Dic11—41no—
972Dic11—41no—
973C25—111no—
974C25—111no—
975C22×Q8C22×D1111yescharacteristic
976C22×D4—111no—
977C22×D4—111no—
978C22×D4—111no—
979C22×D4—111no—
980C22×D4—111no—
981C22×D4—111no—
982C22×D4—224no—
983C22×D4—442no—
984C22×D4—442no—
985C22×D4C22×D1111yescharacteristic
986C22×D4C22×D1111yescharacteristic
987C22×D4C22×D1111yescharacteristic
988C23×C4—111no—
989C23×C4—111no—
990C23×C4—111no—
991C23×C4—111no—
992C23×C4—111no—
993C23×C4—111no—
994C23×C4—111no—
995C23×C4—111no—
996C23×C4C22×D1111yescharacteristic
997C23×C4C22×D1111yescharacteristic
998#126—442no—
999#123—42no—
1000#123—442no—
1001#123—442no—
1002#123—442no—
1003C22⋊Q8—42no—
1004C22⋊Q8—442no—
1005#121—442no—
1006#121—442no—
1007#120—224no—
1008#120—442no—
1009C4×D4—442no—
1010C2×C4⋊C4—111no—
1011C2×C4⋊C4—111no—
1012C2×C4⋊C4—111no—
1013C2×C4⋊C4—111no—
1014C2×C4⋊C4—111no—
1015C2×C4⋊C4—111no—
1016C2×C4⋊C4—111no—
1017C2×C4⋊C4—111no—
1018C2×C4⋊C4—111no—
1019C2×C4⋊C4—111no—
1020C2×C4⋊C4—111no—
1021C2×C4⋊C4—111no—
1022C2×C4⋊C4—111no—
1023C2×C4⋊C4—111no—
1024C2×C4⋊C4—111no—
1025C2×C4⋊C4—111no—
1026C2×C4⋊C4—111no—
1027C2×C4⋊C4—111no—
1028C2×C4⋊C4—111no—
1029C2×C4⋊C4—111no—
1030C2×C4⋊C4—111no—
1031C2×C4⋊C4—442no—
1032C2×C4⋊C4C22×D1111yescharacteristic
1033C2×C4⋊C4C22×D1111yescharacteristic
1034C2×C4⋊C4C22×D1111yescharacteristic
1035C2×C4⋊C4C22×D1111yescharacteristic
1036C2×C4⋊C4C22×D1111yescharacteristic
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—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—224no—
1081C2×C22⋊C4—442no—
1082C2×C22⋊C4—442no—
1083C2×C22⋊C4—442no—
1084C2×C22⋊C4C22×D1111yescharacteristic
1085C2×C22⋊C4C22×D1111yescharacteristic
1086C2×C22⋊C4C22×D1111yescharacteristic
1087C2×C22⋊C4C22×D1111yescharacteristic
1088C2×C22⋊C4C22×D1111yescharacteristic
1089C2×C22⋊C4C22×D1111yescharacteristic
1090C2×C22⋊C4C22×D1111yescharacteristic
1091C2×C22⋊C4C22×D1111yescharacteristic
1092C2×C22⋊C4C22×D1111yescharacteristic
1093C2×C22⋊C4C22×D1111yescharacteristic
1094C2×C22⋊C4C22×D1111yescharacteristic
1095C2×C22⋊C4C22×D1111yescharacteristic
1096C2×C22⋊C4C22×D1111yescharacteristic
1097C2×C42—111no—
1098C2×C42—111no—
1099C2×C42—111no—
1100C2×C42—111no—
1101C2×C42—111no—
1102C2×C42—111no—
1103C2×C42—442no—
1104C2×C42C22×D1111yescharacteristic
1105#95—111no—
1106#95—111no—
1107#95—111no—
1108#95—111no—
1109#95—111no—
1110#95—111no—
1111#95—111no—
1112#95—111no—
1113#95—111no—
1114#95—111no—
1115#95—111no—
1116#95—111no—
1117#95—111no—
1118#95—111no—
1119#95—111no—
1120#95—111no—
1121#95—111no—
1122#95—111no—
1123#95—111no—
1124#95—111no—
1125#95—111no—
1126#95—111no—
1127#95—111no—
1128#95—111no—
1129#95—111no—
1130#95—111no—
1131#95—111no—
1132#95—111no—
1133#95—111no—
1134#95—111no—
1135#95—111no—
1136#95—111no—
1137#95—111no—
1138#95—111no—
1139#95C22×D1111yescharacteristic
1140#95C22×D1111yescharacteristic
1141#95C22×D1111yescharacteristic
1142#95C22×D1111yescharacteristic
1143#95C22×D1111yescharacteristic
1144#95C22×D1111yescharacteristic
1145#95C22×D1111yescharacteristic
1146#95C22×D1111yescharacteristic
1147#95C22×D1111yescharacteristic
1148#95C22×D1111yescharacteristic
1149C2×C11—42no—
1150C2×C11—81no—
1151C2×C11—81no—
1152C2×C11C2×#53811yescharacteristic
1153C2×C11#349111yescharacteristic
1154C2×C11#350511yescharacteristic
1155C2×C11#353311yescharacteristic
1156C2×C11#353411yescharacteristic
1157C2×C11#355811yescharacteristic
1158C2×C11#356011yescharacteristic
1159D11—24no—
1160D11—42no—
1161D11—81no—
1162C24—111no—
1163C24—111no—
1164C24—114no—
1165C24—111no—
1166C24—222no—
1167C24—222no—
1168C24—222no—
1169C24—441no—
1170C24—441no—
1171C24—441no—
1172C24—441no—
1173C24—441no—
1174C24—441no—
1175C24—441no—
1176C24—441no—
1177C24—441no—
1178C24—441no—
1179C24C23×D1111yescharacteristic
1180C24C23×D1111yescharacteristic
1181C24C23×D1111yescharacteristic
1182C2×Q8—41no—
1183C2×Q8—41no—
1184C2×Q8—41no—
1185C2×D4—22no—
1186C2×D4—22no—
1187C2×D4—22no—
1188C2×D4—41no—
1189C2×D4—41no—
1190C2×D4—41no—
1191C2×D4—41no—
1192C2×D4—41no—
1193C2×D4—41no—
1194C2×D4—222no—
1195C2×D4—222no—
1196C2×D4—222no—
1197C2×D4—222no—
1198C2×D4—222no—
1199C2×D4—222no—
1200C2×D4—222no—
1201C2×D4—222no—
1202C2×D4—222no—
1203C2×D4—222no—
1204C2×D4—222no—
1205C2×D4—441no—
1206C2×D4—441no—
1207C2×D4—441no—
1208C2×D4—441no—
1209C2×D4—441no—
1210C2×D4—441no—
1211C2×D4—441no—
1212C2×D4—4416no—
1213C22×C4—41no—
1214C22×C4—41no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—111no—
1220C22×C4—111no—
1221C22×C4—111no—
1222C22×C4—111no—
1223C22×C4—111no—
1224C22×C4—111no—
1225C22×C4—111no—
1226C22×C4—111no—
1227C22×C4—111no—
1228C22×C4—111no—
1229C22×C4—111no—
1230C22×C4—111no—
1231C22×C4—111no—
1232C22×C4—222no—
1233C22×C4—222no—
1234C22×C4—222no—
1235C22×C4—222no—
1236C22×C4—222no—
1237C22×C4—222no—
1238C22×C4—222no—
1239C22×C4—222no—
1240C22×C4—222no—
1241C22×C4—222no—
1242C22×C4—441no—
1243C22×C4—441no—
1244C22×C4—441no—
1245C22×C4—441no—
1246C22×C4—441no—
1247C22×C4—441no—
1248C22×C4—441no—
1249C22×C4—441no—
1250C22×C4—441no—
1251C22×C4—441no—
1252C22×C4—441no—
1253C22×C4—441no—
1254C22×C4—441no—
1255C22×C4—441no—
1256C22×C4C23×D1111yescharacteristic
1257C22×C4C23×D1111yescharacteristic
1258C22×C4C23×D1111yescharacteristic
1259C22×C4C23×D1111yescharacteristic
1260C22×C4C23×D1111yescharacteristic
1261C22×C4C23×D1111yescharacteristic
1262C22×C4C23×D1111yescharacteristic
1263C22×C4C23×D1111yescharacteristic
1264C22×C4C23×D1111yescharacteristic
1265C22×C4C23×D1111yescharacteristic
1266C22×C4C23×D1111yescharacteristic
1267C22×C4C23×D1111yescharacteristic
1268C4⋊C4—22no—
1269C4⋊C4—22no—
1270C4⋊C4—22no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—222no—
1274C4⋊C4—441no—
1275C4⋊C4—441no—
1276C4⋊C4—441no—
1277C4⋊C4—441no—
1278C4⋊C4—441no—
1279C4⋊C4—441no—
1280C4⋊C4—441no—
1281C4⋊C4—441no—
1282C4⋊C4—441no—
1283C4⋊C4—441no—
1284C4⋊C4—441no—
1285C4⋊C4—441no—
1286C4⋊C4—441no—
1287C4⋊C4—441no—
1288C4⋊C4—441no—
1289C4⋊C4—441no—
1290C4⋊C4—441no—
1291C4⋊C4—441no—
1292C4⋊C4—441no—
1293C4⋊C4—441no—
1294C22⋊C4—22no—
1295C22⋊C4—22no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
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—222no—
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—441no—
1328C22⋊C4—441no—
1329C22⋊C4—441no—
1330C22⋊C4—441no—
1331C22⋊C4—441no—
1332C22⋊C4—441no—
1333C22⋊C4—441no—
1334C22⋊C4—441no—
1335C22⋊C4—441no—
1336C22⋊C4—441no—
1337C22⋊C4—441no—
1338C22⋊C4—441no—
1339C22⋊C4—441no—
1340C22⋊C4—441no—
1341C22⋊C4—441no—
1342C22⋊C4—441no—
1343C22⋊C4—441no—
1344C22⋊C4—441no—
1345C22⋊C4—441no—
1346C22⋊C4—441no—
1347C22⋊C4—441no—
1348C22⋊C4—441no—
1349C22⋊C4—441no—
1350C42—41no—
1351C42—441no—
1352C42—441no—
1353C42—441no—
1354C42—441no—
1355C42—441no—
1356C42—441no—
1357C11#3698611yescharacteristic, complemented, Sylow
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—112no—
1379C23—112no—
1380C23—112no—
1381C23—112no—
1382C23—228no—
1383C23—221no—
1384C23—221no—
1385C23—221no—
1386C23—221no—
1387C23—221no—
1388C23—221no—
1389C23—221no—
1390C23—221no—
1391C23—221no—
1392C23—221no—
1393C23—221no—
1394C23—221no—
1395C23—221no—
1396C23—221no—
1397C23—221no—
1398C23—221no—
1399C23—221no—
1400C23—444no—
1401C23—444no—
1402C23—444no—
1403C23—882no—
1404C23—882no—
1405C23—882no—
1406C23—882no—
1407C23—882no—
1408C23—882no—
1409C23—882no—
1410C23—882no—
1411C23—882no—
1412C23—882no—
1413C23#41×D1112yes—
1414C23C24×D1111yescharacteristic
1415Q8—82no—
1416D4—44no—
1417D4—82no—
1418D4—82no—
1419D4—444no—
1420D4—444no—
1421D4—444no—
1422D4—444no—
1423D4—882no—
1424D4—882no—
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—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
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—82no—
1461C2×C4—82no—
1462C2×C4—221no—
1463C2×C4—221no—
1464C2×C4—221no—
1465C2×C4—221no—
1466C2×C4—221no—
1467C2×C4—221no—
1468C2×C4—221no—
1469C2×C4—221no—
1470C2×C4—221no—
1471C2×C4—221no—
1472C2×C4—221no—
1473C2×C4—221no—
1474C2×C4—221no—
1475C2×C4—221no—
1476C2×C4—221no—
1477C2×C4—221no—
1478C2×C4—221no—
1479C2×C4—221no—
1480C2×C4—221no—
1481C2×C4—221no—
1482C2×C4—221no—
1483C2×C4—221no—
1484C2×C4—221no—
1485C2×C4—221no—
1486C2×C4—221no—
1487C2×C4—221no—
1488C2×C4—221no—
1489C2×C4—221no—
1490C2×C4—221no—
1491C2×C4—221no—
1492C2×C4—221no—
1493C2×C4—221no—
1494C2×C4—221no—
1495C2×C4—221no—
1496C2×C4—221no—
1497C2×C4—221no—
1498C2×C4—221no—
1499C2×C4—221no—
1500C2×C4—221no—
1501C2×C4—444no—
1502C2×C4—444no—
1503C2×C4—444no—
1504C2×C4—444no—
1505C2×C4—444no—
1506C2×C4—882no—
1507C2×C4—882no—
1508C2×C4—882no—
1509C2×C4#6703712yes—
1510C22—22no—
1511C22—22no—
1512C22—22no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—114no—
1532C22—222no—
1533C22—222no—
1534C22—222no—
1535C22—222no—
1536C22—222no—
1537C22—222no—
1538C22—222no—
1539C22—222no—
1540C22—222no—
1541C22—441no—
1542C22—441no—
1543C22—441no—
1544C22—441no—
1545C22—441no—
1546C22—441no—
1547C22—441no—
1548C22—441no—
1549C22—441no—
1550C22—441no—
1551C22—441no—
1552C22—888no—
1553C22—888no—
1554C22C2×#6703711yescharacteristic
1555C22C2×#41×D1111yescharacteristic
1556C22#1062345311yescharacteristic
1557C22D11×H(5,𝔽2)11yescharacteristic
1558C22D11×H(5,𝔽2)11yescharacteristic
1559C22#1062345511yescharacteristic
1560C22#1062345711yescharacteristic
1561C4—22no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—41no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C4—41no—
1573C4—441no—
1574C4—441no—
1575C4—441no—
1576C4—441no—
1577C4—441no—
1578C4—441no—
1579C4—441no—
1580C4—441no—
1581C4—441no—
1582C4—441no—
1583C4—441no—
1584C4—441no—
1585C4—441no—
1586C2—42no—
1587C2—81no—
1588C2—81no—
1589C2—224no—
1590C2—442no—
1591C2—881no—
1592C2D11×#53811yescharacteristic
1593C2#1308230711yescharacteristic
1594C2#1308245211yescharacteristic
1595C2#1308277811yescharacteristic
1596C2#1308280111yescharacteristic
1597C2#1308313411yescharacteristic
1598C2#1308316911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2696C2
prime radical#13071983C2
hypercenter#2696D11
hypocenterC11#36986
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2696

Complements

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

NH ≅ G/Ntype
1. #13076946C2semidirect
2. #13076940C2semidirect
3. #13076475C2semidirect
4. #13076253C2semidirect
5. #13076250C2semidirect
6. #13076235C2semidirect
7. #13076133C2semidirect
8. #13076052C2semidirect
9. #13075887C2semidirect
10. #13075868C2semidirect
11. #13075855C2semidirect
12. #13075736C2semidirect
13. #13075660C2semidirect
14. #13075651C2semidirect
15. #13075240C2semidirect
16. #13075175C2semidirect
17. #13075002C2semidirect
18. #13074568C2semidirect
19. #13074545C2semidirect
20. #13072935C2semidirect
21. #13072880C2semidirect
22. #13072348C2semidirect
23. #13072279C2semidirect
24. #13072164C2semidirect
25. #13072011C2semidirect
27. #13071938C2semidirect
28. #13071272C2semidirect
29. #13071190C2semidirect
30. D11×#388C2semidirect
31. C11×#2696C2semidirect
33. C2×C11×#123C22semidirect
34. C2×C11×C22⋊Q8C22semidirect
35. C2×#66999C22semidirect
39. C2×C4×C22⋊D11C22semidirect
41. C2×#66951C22semidirect
43. C2×C4⋊C4×D11C22semidirect
46. C2×#66936C22semidirect
50. C2×C42×D11C22semidirect
51. C11×#400C22semidirect
52. C11×#397C22semidirect
54. C11×#393C22semidirect
55. C11×#393C22semidirect
57. C11×#390C22semidirect
58. C11×#388C22semidirect
59. C11×#387C22semidirect
61. C11×#386C22semidirect
62. C11×#386C22semidirect
63. C11×#380C22semidirect
65. #10622844C22semidirect
66. #10622843C22semidirect
70. #10622835C22semidirect
71. #10622834C22semidirect
72. #10622834C22semidirect
74. #10622833C22semidirect
77. #10622826C22semidirect
78. #10622825C22semidirect
79. #10622823C22semidirect
80. #10622823C22semidirect
83. #10622607C22semidirect
84. #10622607C22semidirect
87. #10622603C22semidirect
89. #10622602C22semidirect
90. #10622602C22semidirect
91. #10622600C22semidirect
92. #10622599C22semidirect
93. #10622598C22semidirect
94. #10622597C22semidirect
95. #10622594C22semidirect
96. #10622593C22semidirect
97. #10622591C22semidirect
103. #10622572C22semidirect
104. #10622572C22semidirect
105. #10622572C22semidirect
113. #10622569C22semidirect
114. #10622569C22semidirect
121. #10622566C22semidirect
122. #10622566C22semidirect
123. #10622566C22semidirect
124. #10622565C22semidirect
125. #10622565C22semidirect
126. #10622565C22semidirect
127. #10622564C22semidirect
128. #10622564C22semidirect
129. #10622564C22semidirect
130. #10622564C22semidirect
131. #10622563C22semidirect
132. #10622562C22semidirect
133. #10622561C22semidirect
134. #10622558C22semidirect
135. #10622558C22semidirect
136. #10622558C22semidirect
137. #10622558C22semidirect
138. #10622558C22semidirect
139. #10622557C22semidirect
140. #10622557C22semidirect
141. #10622557C22semidirect
142. #10622555C22semidirect
143. #10622555C22semidirect
145. #10622553C22semidirect
146. #10622541C22semidirect
148. #10622288C22semidirect
150. #10622287C22semidirect
153. #10622283C22semidirect
154. #10622283C22semidirect
157. #10622282C22semidirect
158. #10622282C22semidirect
161. #10622281C22semidirect
162. #10622281C22semidirect
163. #10622279C22semidirect
170. #10622277C22semidirect
171. D11×#95C22semidirect
172. D11×#95C22semidirect
173. C11⋊#401C22semidirect
174. #10622273C22semidirect
175. #10622273C22semidirect
176. #10622273C22semidirect
177. #10622272C22semidirect
178. #10622271C22semidirect
179. #10622271C22semidirect
180. #10622271C22semidirect
181. #10622268C22semidirect
182. #10622268C22semidirect
183. #10622267C22semidirect
184. #10622265C22semidirect
185. #10622263C22semidirect
186. #10622260C22semidirect
575. #2696D11semidirect
747. C2×#123C2×D11semidirect
749. C2×C22⋊Q8C2×D11semidirect
770. #400C2×D11semidirect
785. #397C2×D11semidirect
805. #393C2×D11semidirect
806. #393C2×D11semidirect
813. #390C2×D11semidirect
841. #388C2×D11semidirect
848. #387C2×D11semidirect
867. #386C2×D11semidirect
868. #386C2×D11semidirect
887. #380C2×D11semidirect
1357. C11#36986semidirect

Maximal subgroups

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

subgroupindex
#130769462
#130769402
#130764752
#130762532
#130762502
#130762352
#130761332
#130760522
#130758872
#130758682
#130758552
#130757362
#130756602
#130756512
#130752402
#130751752
#130750022
#130745682
#130745452
#130729352
#130728802
#130723482
#130722792
#130721642
#130720112
#130719832
#130719382
#130712722
#130711902
D11×#3882
C11×#26962
#3698611