Finite Group Databasebeta

← #14926592

Subgroups — #14926592

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#13076948C211yesmaximal, characteristic, complemented
2#13076941C211yesmaximal, characteristic, complemented
3#13076933C211yesmaximal, characteristic, complemented
4#13076919C211yesmaximal, characteristic, complemented
5#13074682C211yesmaximal, characteristic, complemented
6#13074622C211yesmaximal, characteristic, complemented
7#13074607C211yesmaximal, characteristic, complemented
8#13074607C211yesmaximal, characteristic, complemented
9#13073277C211yesmaximal, characteristic, complemented
10#13073277C211yesmaximal, characteristic, complemented
11#13073172C211yesmaximal, characteristic, complemented
12#13073172C211yesmaximal, characteristic, complemented
13#13073121C211yesmaximal, characteristic, complemented
14#13072948C211yesmaximal, characteristic, complemented
15#13072869C211yesmaximal, characteristic, complemented
16#13072749C211yesmaximal, characteristic, complemented
17#13072670C211yesmaximal, characteristic, complemented
18#13072556C211yesmaximal, characteristic, complemented
19#13072370C211yesmaximal, characteristic, complemented
20#13072165C211yesmaximal, characteristic, complemented
21#13072006C211yesmaximal, characteristic, complemented
22#13071984C211yesmaximal, characteristic
23#13071944C211yesmaximal, characteristic, complemented
24#13071351C211yesmaximal, characteristic, complemented
25#13071273C211yesmaximal, characteristic, complemented
26#13071244C211yesmaximal, characteristic, complemented
27#13071213C211yesmaximal, characteristic, complemented
28#13071115C211yesmaximal, characteristic, complemented
29C2×#10622571C211yesmaximal, characteristic, complemented
30C2×C22⋊C4×Dic11C211yesmaximal, characteristic, complemented
31C11×#2437C211yesmaximal, characteristic, complemented
32C23×C22⋊D11C2211yescharacteristic
33C24×Dic11C2211yescharacteristic
34C2×C11×C22⋊Q8C2211yescharacteristic
35C2×C11×C22⋊Q8C2211yescharacteristic, complemented
36C22×C11×C22⋊C4C2211yescharacteristic
37C22×C11×C22⋊C4C2211yescharacteristic
38C2×#67006C2211yescharacteristic
39C22×C22⋊Dic11C2211yescharacteristic
40C2×#67000C2211yescharacteristic, complemented
41C2×#66983C2211yescharacteristic
42C2×#66983C2211yescharacteristic
43C22×(C2×D11)⋊C4C2211yescharacteristic
44C22×(C2×D11)⋊C4C2211yescharacteristic
45C22×C4×Dic11C2211yescharacteristic, complemented
46C22×C4×Dic11C2211yescharacteristic, complemented
47C2×#66951C2211yescharacteristic, complemented
48C2×#66939C2211yescharacteristic
49C2×#66939C2211yescharacteristic
50C2×#66939C2211yescharacteristic, complemented
51C2×#66935C2211yescharacteristic
52C2×(C22⋊D11)⋊C4C2211yescharacteristic
53C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
54C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
55C11×#399C2211yescharacteristic, complemented
56C11×#396C2211yescharacteristic, complemented
57C11×#396C2211yescharacteristic, complemented
58C11×#393C2211yescharacteristic, complemented
59C11×#385C2211yescharacteristic
60C11×#385C2211yescharacteristic
61C11×#385C2211yescharacteristic, complemented
62C11×#385C2211yescharacteristic, complemented
63C11×#380C2211yescharacteristic
64C11×#380C2211yescharacteristic, complemented
65C11×#379C2211yescharacteristic
66#10622844C2211yescharacteristic, complemented
67#10622843C2211yescharacteristic, complemented
68#10622843C2211yescharacteristic, complemented
69#10622826C2211yescharacteristic
70#10622826C2211yescharacteristic
71#10622826C2211yescharacteristic
72#10622826C2211yescharacteristic
73#10622825C2211yescharacteristic
74#10622825C2211yescharacteristic
75C2×C11⋊#95C2211yescharacteristic
76C2×C11⋊#95C2211yescharacteristic
77C2×C11⋊#95C2211yescharacteristic, complemented
78C2×C11⋊#95C2211yescharacteristic, complemented
79#10622607C2211yescharacteristic, complemented
80#10622606C2211yescharacteristic, complemented
81#10622606C2211yescharacteristic, complemented
82#10622606C2211yescharacteristic, complemented
83#10622604C2211yescharacteristic, complemented
84#10622604C2211yescharacteristic, complemented
85#10622603C2211yescharacteristic, complemented
86#10622603C2211yescharacteristic, complemented
87#10622603C2211yescharacteristic, complemented
88#10622603C2211yescharacteristic, complemented
89#10622603C2211yescharacteristic, complemented
90#10622603C2211yescharacteristic, complemented
91#10622603C2211yescharacteristic, complemented
92#10622603C2211yescharacteristic, complemented
93#10622603C2211yescharacteristic, complemented
94#10622603C2211yescharacteristic, complemented
95#10622603C2211yescharacteristic, complemented
96#10622601C2211yescharacteristic, complemented
97#10622601C2211yescharacteristic, complemented
98#10622601C2211yescharacteristic, complemented
99#10622600C2211yescharacteristic, complemented
100#10622599C2211yescharacteristic, complemented
101#10622599C2211yescharacteristic, complemented
102#10622599C2211yescharacteristic, complemented
103#10622598C2211yescharacteristic, complemented
104#10622598C2211yescharacteristic, complemented
105#10622598C2211yescharacteristic, complemented
106#10622594C2211yescharacteristic, complemented
107#10622594C2211yescharacteristic, complemented
108#10622594C2211yescharacteristic, complemented
109#10622594C2211yescharacteristic, complemented
110#10622594C2211yescharacteristic, complemented
111#10622591C2211yescharacteristic, complemented
112#10622590C2211yescharacteristic, complemented
113#10622590C2211yescharacteristic, complemented
114#10622574C2211yescharacteristic
115#10622574C2211yescharacteristic
116#10622574C2211yescharacteristic
117#10622574C2211yescharacteristic
118#10622574C2211yescharacteristic
119#10622574C2211yescharacteristic
120#10622574C2211yescharacteristic, complemented
121#10622574C2211yescharacteristic, complemented
122#10622573C2211yescharacteristic
123#10622573C2211yescharacteristic
124#10622571C2211yescharacteristic
125#10622571C2211yescharacteristic
126#10622571C2211yescharacteristic
127#10622571C2211yescharacteristic
128#10622571C2211yescharacteristic
129#10622571C2211yescharacteristic
130#10622571C2211yescharacteristic
131#10622571C2211yescharacteristic
132#10622571C2211yescharacteristic
133#10622571C2211yescharacteristic
134#10622571C2211yescharacteristic
135#10622571C2211yescharacteristic
136#10622571C2211yescharacteristic, complemented
137#10622571C2211yescharacteristic, complemented
138#10622571C2211yescharacteristic, complemented
139#10622568C2211yescharacteristic
140#10622568C2211yescharacteristic
141#10622568C2211yescharacteristic
142#10622566C2211yescharacteristic, complemented
143#10622566C2211yescharacteristic, complemented
144#10622563C2211yescharacteristic
145#10622563C2211yescharacteristic
146#10622563C2211yescharacteristic
147#10622563C2211yescharacteristic, complemented
148#10622559C2211yescharacteristic
149#10622559C2211yescharacteristic, complemented
150#10622559C2211yescharacteristic, complemented
151#10622556C2211yescharacteristic, complemented
152C22⋊C4×Dic11C2211yescharacteristic
153C22⋊C4×Dic11C2211yescharacteristic
154C22⋊C4×Dic11C2211yescharacteristic
155C22⋊C4×Dic11C2211yescharacteristic
156C22⋊C4×Dic11C2211yescharacteristic
157C22⋊C4×Dic11C2211yescharacteristic, complemented
158C22⋊C4×Dic11C2211yescharacteristic, complemented
159C22⋊C4×Dic11C2211yescharacteristic, complemented
160C22⋊C4×Dic11C2211yescharacteristic, complemented
161C22⋊C4×Dic11C2211yescharacteristic, complemented
162C22⋊C4×Dic11C2211yescharacteristic, complemented
163#10622288C2211yescharacteristic, complemented
164#10622287C2211yescharacteristic, complemented
165#10622287C2211yescharacteristic, complemented
166#10622283C2211yescharacteristic, complemented
167#10622283C2211yescharacteristic, complemented
168#10622283C2211yescharacteristic, complemented
169#10622283C2211yescharacteristic, complemented
170#10622283C2211yescharacteristic, complemented
171#10622283C2211yescharacteristic, complemented
172#10622283C2211yescharacteristic, complemented
173#10622282C2211yescharacteristic, complemented
174#10622282C2211yescharacteristic, complemented
175#10622282C2211yescharacteristic, complemented
176#10622278C2211yescharacteristic, complemented
177#10622278C2211yescharacteristic, complemented
178#10622277C2211yescharacteristic, complemented
179C11⋊#401C2211yescharacteristic, complemented
180#10622274C2211yescharacteristic, complemented
181#10622273C2211yescharacteristic, complemented
182#10622268C2211yescharacteristic, complemented
183#10622268C2211yescharacteristic, complemented
184#10622267C2211yescharacteristic, complemented
185#10622264C2211yescharacteristic, complemented
186#10622264C2211yescharacteristic, complemented
187C25×C11C2311yescharacteristic
188C24×D11C2311yescharacteristic
189C22×Q8×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C22×C22⋊D11—24no—
195C22×C22⋊D11—42no—
196C22×C22⋊D11—42no—
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C22×C22⋊D11C2311yescharacteristic
202C22×C22⋊D11C2311yescharacteristic
203C22×C22⋊D11C2311yescharacteristic
204C23×Dic11—24no—
205C23×Dic11—42no—
206C23×Dic11—42no—
207C23×Dic11C2311yescharacteristic
208C23×Dic11C2311yescharacteristic
209C23×Dic11C2311yescharacteristic
210C23×Dic11C2311yescharacteristic
211C23×Dic11C2311yescharacteristic
212C23×Dic11C2311yescharacteristic
213C23×Dic11C2311yescharacteristic
214C23×Dic11C2311yescharacteristic
215C23×Dic11C2311yescharacteristic
216C22×D44C2311yescharacteristic
217C22×D44C2311yescharacteristic
218C22×C4×D11C2311yescharacteristic
219C11×C22⋊Q8—24no—
220C11×C22⋊Q8—42no—
221C2×C11×C4⋊C4C2311yescharacteristic
222C2×C11×C4⋊C4C2311yescharacteristic
223C2×C11×C4⋊C4C2311yescharacteristic
224C2×C11×C4⋊C4C2311yescharacteristic
225C2×C11×C4⋊C4C2311yescharacteristic
226C2×C11×C4⋊C4C2311yescharacteristic
227C2×C11×C4⋊C4C2311yescharacteristic
228C2×C11×C4⋊C4C2311yescharacteristic
229C2×C11×C4⋊C4C2311yescharacteristic
230C2×C11×C22⋊C4—24no—
231C2×C11×C22⋊C4—42no—
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×C11×C22⋊C4C2311yescharacteristic
244C2×C11×C22⋊C4C2311yescharacteristic
245C2×C11×C22⋊C4C2311yescharacteristic
246#67006—24no—
247C2×C22⋊Dic11—24no—
248C2×C22⋊Dic11C2311yescharacteristic
249C2×C22⋊Dic11C2311yescharacteristic
250C2×C22⋊Dic11C2311yescharacteristic
251C2×C22⋊Dic11C2311yescharacteristic
252C2×C22⋊Dic11C2311yescharacteristic
253C2×C22⋊Dic11C2311yescharacteristic
254C2×C22⋊Dic11C2311yescharacteristic
255#67000—42no—
256#66983—42no—
257#66983—42no—
258C2×(C2×D11)⋊C4—24no—
259C2×(C2×D11)⋊C4—42no—
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×(C2×D11)⋊C4C2311yescharacteristic
283C2×(C2×D11)⋊C4C2311yescharacteristic
284C2×(C2×D11)⋊C4C2311yescharacteristic
285C2×(C2×D11)⋊C4C2311yescharacteristic
286C2×(C2×D11)⋊C4C2311yescharacteristic
287C2×(C2×D11)⋊C4C2311yescharacteristic
288C2×(C2×D11)⋊C4C2311yescharacteristic
289C2×(C2×D11)⋊C4C2311yescharacteristic
290C2×(C2×D11)⋊C4C2311yescharacteristic
291C2×C4⋊Dic11C2311yescharacteristic
292C2×C4⋊Dic11C2311yescharacteristic
293C2×C4⋊Dic11C2311yescharacteristic
294C2×C4⋊Dic11C2311yescharacteristic
295C2×C4⋊Dic11C2311yescharacteristic
296C2×C4⋊Dic11C2311yescharacteristic
297C2×C4⋊Dic11C2311yescharacteristic
298C2×C4⋊Dic11C2311yescharacteristic
299C2×C4⋊Dic11C2311yescharacteristic
300C2×C4⋊Dic11C2311yescharacteristic
301C2×Dic11⋊C4C2311yescharacteristic
302C2×Dic11⋊C4C2311yescharacteristic
303C2×Dic11⋊C4C2311yescharacteristic
304C2×C4×Dic11—42no—
305C2×C4×Dic11—42no—
306C2×C4×Dic11C2311yescharacteristic
307C2×C4×Dic11C2311yescharacteristic
308C2×C4×Dic11C2311yescharacteristic
309C2×C4×Dic11C2311yescharacteristic
310C2×C4×Dic11C2311yescharacteristic
311C2×C4×Dic11C2311yescharacteristic
312C2×C4×Dic11C2311yescharacteristic
313C2×C4×Dic11C2311yescharacteristic
314C2×C4×Dic11C2311yescharacteristic
315C2×C4×Dic11C2311yescharacteristic
316C2×C4×Dic11C2311yescharacteristic
317#66951—42no—
318#66939—42no—
319#66939—42no—
320#66939—42no—
321#66935—24no—
322(C22⋊D11)⋊C4—24no—
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#34998—111nomaximal, Sylow
370C24×C11—22no—
371C24×C11—22no—
372C24×C11—22no—
373C24×C11—22no—
374C24×C11—41no—
375C24×C11—41no—
376C24×C11#4114yes—
377C24×C11C2411yescharacteristic
378C24×C11C2411yescharacteristic
379C24×C11C2411yescharacteristic
380C23×D11—22no—
381C23×D11—22no—
382C23×D11—22no—
383C23×D11—41no—
384C23×D11—41no—
385C23×D11—41no—
386C23×D11—41no—
387C23×D11C2411yescharacteristic
388C23×D11C2411yescharacteristic
389C23×D11C2411yescharacteristic
390C2×Q8×C11—22no—
391C2×Q8×C11—41no—
392C2×Q8×C11—41no—
393C22×C4×C11—22no—
394C22×C4×C11—22no—
395C22×C4×C11—22no—
396C22×C4×C11—22no—
397C22×C4×C11—22no—
398C22×C4×C11—22no—
399C22×C4×C11—41no—
400C22×C4×C11—41no—
401C22×C4×C11—41no—
402C22×C4×C11—41no—
403C22×C4×C11—41no—
404C22×C4×C11—41no—
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
414C22×C4×C11C2411yescharacteristic
415C22×C4×C11C2411yescharacteristic
416C22×C4×C11C2411yescharacteristic
417C2×C22⋊D11—22no—
418C2×C22⋊D11—22no—
419C2×C22⋊D11—22no—
420C2×C22⋊D11—22no—
421C2×C22⋊D11—22no—
422C2×C22⋊D11—22no—
423C2×C22⋊D11—22no—
424C2×C22⋊D11—22no—
425C2×C22⋊D11—22no—
426C2×C22⋊D11—22no—
427C2×C22⋊D11—22no—
428C2×C22⋊D11—22no—
429C2×C22⋊D11—22no—
430C2×C22⋊D11—22no—
431C2×C22⋊D11—22no—
432C2×C22⋊D11—41no—
433C2×C22⋊D11—41no—
434C2×C22⋊D11—41no—
435C2×C22⋊D11—41no—
436C2×C22⋊D11—41no—
437C2×C22⋊D11—41no—
438C2×C22⋊D11—416no—
439C22×Dic11—22no—
440C22×Dic11—22no—
441C22×Dic11—22no—
442C22×Dic11—22no—
443C22×Dic11—22no—
444C22×Dic11—22no—
445C22×Dic11—22no—
446C22×Dic11—22no—
447C22×Dic11—22no—
448C22×Dic11—22no—
449C22×Dic11—22no—
450C22×Dic11—22no—
451C22×Dic11—22no—
452C22×Dic11—22no—
453C22×Dic11—22no—
454C22×Dic11—41no—
455C22×Dic11—41no—
456C22×Dic11—41no—
457C22×Dic11—41no—
458C22×Dic11—41no—
459C22×Dic11—41no—
460C22×Dic11—41no—
461C22×Dic11—41no—
462C22×Dic11—41no—
463C22×Dic11—41no—
464C22×Dic11—41no—
465C22×Dic11—416no—
466C22×Dic11#4114yes—
467C22×Dic11C2411yescharacteristic
468C22×Dic11C2411yescharacteristic
469C22×Dic11C2411yescharacteristic
470C22×Dic11C2411yescharacteristic
471C22×Dic11C2411yescharacteristic
472C22×Dic11C2411yescharacteristic
473C22×Dic11C2411yescharacteristic
474C22×Dic11C2411yescharacteristic
475C22×Dic11C2411yescharacteristic
476C22×Dic11C2411yescharacteristic
477C22×Dic11C2411yescharacteristic
478C22×Dic11C2411yescharacteristic
479C22×Dic11C2411yescharacteristic
480C2×D44—22no—
481C2×D44—22no—
482C2×D44—41no—
483C2×D44—41no—
484C2×D44—41no—
485C2×D44—41no—
486C2×C4×D11—22no—
487C2×C4×D11—41no—
488C2×C4×D11—41no—
489C11×C4⋊C4—22no—
490C11×C4⋊C4—22no—
491C11×C4⋊C4—22no—
492C11×C4⋊C4—41no—
493C11×C4⋊C4—41no—
494C11×C4⋊C4—41no—
495C11×C4⋊C4—41no—
496C11×C4⋊C4—41no—
497C11×C4⋊C4—41no—
498C11×C22⋊C4—22no—
499C11×C22⋊C4—22no—
500C11×C22⋊C4—22no—
501C11×C22⋊C4—22no—
502C11×C22⋊C4—22no—
503C11×C22⋊C4—22no—
504C11×C22⋊C4—22no—
505C11×C22⋊C4—22no—
506C11×C22⋊C4—22no—
507C11×C22⋊C4—41no—
508C11×C22⋊C4—41no—
509C11×C22⋊C4—41no—
510C11×C22⋊C4—41no—
511C11×C22⋊C4#4114yes—
512C22⋊Dic11—22no—
513C22⋊Dic11—22no—
514C22⋊Dic11—22no—
515C22⋊Dic11—22no—
516C22⋊Dic11—22no—
517C22⋊Dic11—22no—
518C22⋊Dic11—22no—
519(C2×D11)⋊C4—22no—
520(C2×D11)⋊C4—22no—
521(C2×D11)⋊C4—22no—
522(C2×D11)⋊C4—22no—
523(C2×D11)⋊C4—22no—
524(C2×D11)⋊C4—22no—
525(C2×D11)⋊C4—22no—
526(C2×D11)⋊C4—22no—
527(C2×D11)⋊C4—22no—
528(C2×D11)⋊C4—22no—
529(C2×D11)⋊C4—41no—
530(C2×D11)⋊C4—41no—
531(C2×D11)⋊C4—41no—
532(C2×D11)⋊C4—41no—
533(C2×D11)⋊C4—41no—
534(C2×D11)⋊C4—41no—
535(C2×D11)⋊C4—41no—
536(C2×D11)⋊C4—41no—
537(C2×D11)⋊C4—41no—
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—
549(C2×D11)⋊C4—41no—
550C4⋊Dic11—41no—
551C4⋊Dic11—41no—
552C4⋊Dic11—41no—
553C4⋊Dic11—41no—
554C4⋊Dic11—41no—
555C4⋊Dic11—41no—
556C4⋊Dic11—41no—
557C4⋊Dic11—41no—
558C4⋊Dic11—41no—
559C4⋊Dic11—41no—
560Dic11⋊C4—22no—
561Dic11⋊C4—22no—
562Dic11⋊C4—41no—
563C4×Dic11—22no—
564C4×Dic11—22no—
565C4×Dic11—22no—
566C4×Dic11—41no—
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#2480—111no—
589#2472—111no—
590#2467—111no—
591#2459—111no—
592#2444—111no—
593#2437D1111yescharacteristic, complemented
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—28no—
614C23×C11—28no—
615C23×C11—21no—
616C23×C11—21no—
617C23×C11—21no—
618C23×C11—21no—
619C23×C11—21no—
620C23×C11—21no—
621C23×C11—44no—
622C23×C11—44no—
623C23×C11—44no—
624C23×C11—44no—
625C23×C11—44no—
626C23×C11C2×#4112yes—
627C23×C11C2×#4112yes—
628C23×C11C2×#4112yes—
629C23×C11C2×#4112yes—
630C23×C11C2×#4112yes—
631C23×C11H(5,𝔽2)12yes—
632C23×C11H(5,𝔽2)12yes—
633C23×C11C2511yescharacteristic
634C22×D11—21no—
635C22×D11—21no—
636C22×D11—21no—
637C22×D11—21no—
638C22×D11—21no—
639C22×D11—21no—
640C22×D11—21no—
641C22×D11—21no—
642C22×D11—21no—
643C22×D11—21no—
644C22×D11—21no—
645C22×D11—21no—
646C22×D11—21no—
647C22×D11—21no—
648C22×D11—21no—
649C22×D11—21no—
650C22×D11—21no—
651C22×D11—21no—
652C22×D11—21no—
653C22×D11—21no—
654C22×D11—21no—
655C22×D11—44no—
656C22×D11—44no—
657C22×D11—44no—
658C22×D11—82no—
659C22×D11—82no—
660C22×D11—82no—
661C22×D11—82no—
662Q8×C11—82no—
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—44no—
699C2×C4×C11—82no—
700C2×C4×C11—82no—
701C2×C4×C11C2×#4112yes—
702C2×C4×C11C2×#4112yes—
703C22⋊D11—44no—
704C22⋊D11—44no—
705C22⋊D11—44no—
706C22⋊D11—44no—
707C22⋊D11—44no—
708C22⋊D11—44no—
709C22⋊D11—44no—
710C2×Dic11—28no—
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—21no—
743C2×Dic11—21no—
744C2×Dic11—21no—
745C2×Dic11—21no—
746C2×Dic11—21no—
747C2×Dic11—44no—
748C2×Dic11—44no—
749C2×Dic11—44no—
750C2×Dic11—44no—
751C2×Dic11—44no—
752C2×Dic11—44no—
753C2×Dic11—44no—
754C2×Dic11—44no—
755C2×Dic11C2×#4112yes—
756C2×Dic11C2×#4112yes—
757C2×Dic11H(5,𝔽2)12yes—
758D44—82no—
759D44—82no—
760C4×D11—82no—
761C23×D4—111no—
762C24×C4—111no—
763C2×#126—111no—
764C2×#124—111no—
765C2×#123—111no—
766C2×#123—111no—
767C2×#123—111no—
768C2×C22⋊Q8C2×D1111yescharacteristic
769C2×C22⋊Q8C2×D1111yescharacteristic, complemented
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⋊C4C2×D1111yescharacteristic
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#399C2×D1111yescharacteristic, complemented
790#398—111no—
791#397—111no—
792#397—111no—
793#397—111no—
794#397—111no—
795#397—111no—
796#397—111no—
797#397—111no—
798#397—111no—
799#396—111no—
800#396C2×D1111yescharacteristic, complemented
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#393C2×D1111yescharacteristic, complemented
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#388—111no—
843#388—111no—
844#388—111no—
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#385C2×D1111yescharacteristic
883#385C2×D1111yescharacteristic
884#385C2×D1111yescharacteristic, complemented
885#385C2×D1111yescharacteristic, complemented
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#380C2×D1111yescharacteristic
896#380C2×D1111yescharacteristic, complemented
897#379—111no—
898#379—111no—
899#379—111no—
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⋊C4—111no—
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—22no—
923C22×C11—22no—
924C22×C11—22no—
925C22×C11—22no—
926C22×C11—22no—
927C22×C11—22no—
928C22×C11—22no—
929C22×C11—22no—
930C22×C11—22no—
931C22×C11—416no—
932C22×C11—41no—
933C22×C11—41no—
934C22×C11—41no—
935C22×C11—41no—
936C22×C11#52914yes—
937C22×C11#53814yes—
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—41no—
946C2×D11—41no—
947C2×D11—41no—
948C2×D11—41no—
949C2×D11—41no—
950C2×D11—41no—
951C2×D11—41no—
952C2×D11—41no—
953C2×D11—41no—
954C2×D11—41no—
955C2×D11—41no—
956C2×D11—41no—
957C2×D11—41no—
958C2×D11—41no—
959C2×D11—41no—
960C2×D11—41no—
961C2×D11—41no—
962C2×D11—41no—
963C2×D11—41no—
964C2×D11—41no—
965C2×D11—41no—
966C2×D11—88no—
967C4×C11—22no—
968C4×C11—22no—
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—41no—
983Dic11—41no—
984Dic11—41no—
985Dic11—41no—
986Dic11—41no—
987Dic11—41no—
988Dic11—41no—
989Dic11—41no—
990Dic11—41no—
991Dic11—41no—
992C25—111no—
993C25C22×D1111yescharacteristic
994C22×Q8C22×D1111yescharacteristic
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—224no—
1018C23×C4—442no—
1019C23×C4—442no—
1020C23×C4C22×D1111yescharacteristic
1021C23×C4C22×D1111yescharacteristic
1022C23×C4C22×D1111yescharacteristic
1023C23×C4C22×D1111yescharacteristic
1024#126—442no—
1025#124—442no—
1026#123—442no—
1027#123—442no—
1028#123—442no—
1029C22⋊Q8—24no—
1030C22⋊Q8—42no—
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⋊C4C22×D1111yescharacteristic
1052C2×C4⋊C4C22×D1111yescharacteristic
1053C2×C4⋊C4C22×D1111yescharacteristic
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—24no—
1061C2×C22⋊C4—42no—
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—111no—
1098C2×C22⋊C4—111no—
1099C2×C22⋊C4—111no—
1100C2×C22⋊C4—224no—
1101C2×C22⋊C4—224no—
1102C2×C22⋊C4—442no—
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—111no—
1127C2×C42—111no—
1128C2×C42—442no—
1129C2×C42—442no—
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#95—111no—
1167#95—111no—
1168#95C22×D1111yescharacteristic
1169#95C22×D1111yescharacteristic
1170#95C22×D1111yescharacteristic
1171#95C22×D1111yescharacteristic
1172#95C22×D1111yescharacteristic
1173#95C22×D1111yescharacteristic
1174C2×C11—24no—
1175C2×C11—24no—
1176C2×C11—42no—
1177C2×C11C2×#52911yescharacteristic
1178C2×C11C2×#53811yescharacteristic
1179C2×C11#345911yescharacteristic
1180C2×C11#349011yescharacteristic
1181C2×C11#349411yescharacteristic
1182C2×C11#351311yescharacteristic
1183C2×C11#351911yescharacteristic
1184D11—81no—
1185D11—81no—
1186D11—81no—
1187C24—22no—
1188C24—22no—
1189C24—22no—
1190C24—22no—
1191C24—41no—
1192C24—41no—
1193C24—111no—
1194C24—111no—
1195C24—111no—
1196C24—222no—
1197C24—222no—
1198C24—222no—
1199C24—441no—
1200C24—441no—
1201C24—441no—
1202C24—441no—
1203C24#434314yes—
1204C24C23×D1111yescharacteristic
1205C24C23×D1111yescharacteristic
1206C24C23×D1111yescharacteristic
1207C2×Q8—22no—
1208C2×Q8—41no—
1209C2×Q8—41no—
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—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—111no—
1251C22×C4—111no—
1252C22×C4—111no—
1253C22×C4—114no—
1254C22×C4—111no—
1255C22×C4—111no—
1256C22×C4—111no—
1257C22×C4—111no—
1258C22×C4—111no—
1259C22×C4—111no—
1260C22×C4—111no—
1261C22×C4—111no—
1262C22×C4—111no—
1263C22×C4—111no—
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—222no—
1278C22×C4—222no—
1279C22×C4—222no—
1280C22×C4—441no—
1281C22×C4—441no—
1282C22×C4—441no—
1283C22×C4—441no—
1284C22×C4—441no—
1285C22×C4—441no—
1286C22×C4—441no—
1287C22×C4—441no—
1288C22×C4—441no—
1289C22×C4—441no—
1290C22×C4—441no—
1291C22×C4—441no—
1292C22×C4—441no—
1293C22×C4—4416no—
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—22no—
1308C4⋊C4—22no—
1309C4⋊C4—41no—
1310C4⋊C4—41no—
1311C4⋊C4—41no—
1312C4⋊C4—41no—
1313C4⋊C4—41no—
1314C4⋊C4—41no—
1315C4⋊C4—222no—
1316C4⋊C4—222no—
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—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—222no—
1342C22⋊C4—222no—
1343C22⋊C4—222no—
1344C22⋊C4—222no—
1345C22⋊C4—222no—
1346C22⋊C4—222no—
1347C22⋊C4—222no—
1348C22⋊C4—222no—
1349C22⋊C4—222no—
1350C22⋊C4—222no—
1351C22⋊C4—222no—
1352C22⋊C4—222no—
1353C22⋊C4—222no—
1354C22⋊C4—222no—
1355C22⋊C4—222no—
1356C22⋊C4—222no—
1357C22⋊C4—222no—
1358C22⋊C4—441no—
1359C22⋊C4—441no—
1360C22⋊C4—441no—
1361C22⋊C4—441no—
1362C22⋊C4—441no—
1363C22⋊C4—441no—
1364C22⋊C4—441no—
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#434114yes—
1380C42—222no—
1381C42—222no—
1382C42—222no—
1383C42—441no—
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—28no—
1401C23—28no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—44no—
1409C23—44no—
1410C23—44no—
1411C23—44no—
1412C23—44no—
1413C23—221no—
1414C23—221no—
1415C23—221no—
1416C23—221no—
1417C23—221no—
1418C23—221no—
1419C23—221no—
1420C23—221no—
1421C23—221no—
1422C23—221no—
1423C23—221no—
1424C23—221no—
1425C23—221no—
1426C23—221no—
1427C23—221no—
1428C23—221no—
1429C23—221no—
1430C23—221no—
1431C23—221no—
1432C23—221no—
1433C23—221no—
1434C23—444no—
1435C23—444no—
1436C23—444no—
1437C23—882no—
1438C23—882no—
1439C23—882no—
1440C23—882no—
1441C23C2×#434112yes—
1442C23#6703712yes—
1443C23C2×#434312yes—
1444C23C2×#434312yes—
1445C23C2×#434312yes—
1446C23#41×D1112yes—
1447C23#6704212yes—
1448C23C24×D1111yescharacteristic
1449Q8—82no—
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—44no—
1494C2×C4—44no—
1495C2×C4—82no—
1496C2×C4—82no—
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—221no—
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×C4C2×#434112yes—
1547C2×C4C2×#434112yes—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—22no—
1555C22—22no—
1556C22—22no—
1557C22—22no—
1558C22—22no—
1559C22—22no—
1560C22—22no—
1561C22—22no—
1562C22—22no—
1563C22—416no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—441no—
1569C22—441no—
1570C22—441no—
1571C22—441no—
1572C22—441no—
1573C22—441no—
1574C22—441no—
1575C22—441no—
1576C22—441no—
1577C22—441no—
1578C22—441no—
1579C22—441no—
1580C22—441no—
1581C22—441no—
1582C22—441no—
1583C22—441no—
1584C22—441no—
1585C22—441no—
1586C22—441no—
1587C22—441no—
1588C22—441no—
1589C22—888no—
1590C22#1062315514yes—
1591C22#1062317514yes—
1592C22C22×#434111yescharacteristic
1593C22C2×#6703711yescharacteristic
1594C22C22×#434311yescharacteristic
1595C22C2×#41×D1111yescharacteristic
1596C22C2×#6704211yescharacteristic
1597C22D11×H(5,𝔽2)11yescharacteristic
1598C22#1062345511yescharacteristic
1599C4—22no—
1600C4—22no—
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—441no—
1615C4—441no—
1616C4—441no—
1617C4—441no—
1618C4—441no—
1619C4—441no—
1620C4—441no—
1621C4—441no—
1622C4—441no—
1623C4—441no—
1624C2—24no—
1625C2—24no—
1626C2—42no—
1627C2—881no—
1628C2—881no—
1629C2—881no—
1630C2C2×#1062315511yescharacteristic
1631C2C2×#1062317511yescharacteristic
1632C2#1308202811yescharacteristic
1633C2#1308230011yescharacteristic
1634C2#1308233811yescharacteristic
1635C2#1308255711yescharacteristic
1636C2#1308263511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2437C2
prime radical#13071984C2
hypercenter#2437D11
hypocenterC11#34998
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2437

Complements

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

NH ≅ G/Ntype
1. #13076948C2semidirect
2. #13076941C2semidirect
3. #13076933C2semidirect
4. #13076919C2semidirect
5. #13074682C2semidirect
6. #13074622C2semidirect
7. #13074607C2semidirect
8. #13074607C2semidirect
9. #13073277C2semidirect
10. #13073277C2semidirect
11. #13073172C2semidirect
12. #13073172C2semidirect
13. #13073121C2semidirect
14. #13072948C2semidirect
15. #13072869C2semidirect
16. #13072749C2semidirect
17. #13072670C2semidirect
18. #13072556C2semidirect
19. #13072370C2semidirect
20. #13072165C2semidirect
21. #13072006C2semidirect
23. #13071944C2semidirect
24. #13071351C2semidirect
25. #13071273C2semidirect
26. #13071244C2semidirect
27. #13071213C2semidirect
28. #13071115C2semidirect
29. C2×#10622571C2semidirect
30. C2×C22⋊C4×Dic11C2semidirect
31. C11×#2437C2semidirect
35. C2×C11×C22⋊Q8C22semidirect
40. C2×#67000C22semidirect
45. C22×C4×Dic11C22semidirect
46. C22×C4×Dic11C22semidirect
47. C2×#66951C22semidirect
50. C2×#66939C22semidirect
53. C2×(C22⋊D11)⋊C4C22semidirect
54. C2×(C22⋊D11)⋊C4C22semidirect
55. C11×#399C22semidirect
56. C11×#396C22semidirect
57. C11×#396C22semidirect
58. C11×#393C22semidirect
61. C11×#385C22semidirect
62. C11×#385C22semidirect
64. C11×#380C22semidirect
66. #10622844C22semidirect
67. #10622843C22semidirect
68. #10622843C22semidirect
77. C2×C11⋊#95C22semidirect
78. C2×C11⋊#95C22semidirect
79. #10622607C22semidirect
80. #10622606C22semidirect
81. #10622606C22semidirect
82. #10622606C22semidirect
83. #10622604C22semidirect
84. #10622604C22semidirect
85. #10622603C22semidirect
86. #10622603C22semidirect
87. #10622603C22semidirect
88. #10622603C22semidirect
89. #10622603C22semidirect
90. #10622603C22semidirect
91. #10622603C22semidirect
92. #10622603C22semidirect
93. #10622603C22semidirect
94. #10622603C22semidirect
95. #10622603C22semidirect
96. #10622601C22semidirect
97. #10622601C22semidirect
98. #10622601C22semidirect
99. #10622600C22semidirect
100. #10622599C22semidirect
101. #10622599C22semidirect
102. #10622599C22semidirect
103. #10622598C22semidirect
104. #10622598C22semidirect
105. #10622598C22semidirect
106. #10622594C22semidirect
107. #10622594C22semidirect
108. #10622594C22semidirect
109. #10622594C22semidirect
110. #10622594C22semidirect
111. #10622591C22semidirect
112. #10622590C22semidirect
113. #10622590C22semidirect
120. #10622574C22semidirect
121. #10622574C22semidirect
136. #10622571C22semidirect
137. #10622571C22semidirect
138. #10622571C22semidirect
142. #10622566C22semidirect
143. #10622566C22semidirect
147. #10622563C22semidirect
149. #10622559C22semidirect
150. #10622559C22semidirect
151. #10622556C22semidirect
157. C22⋊C4×Dic11C22semidirect
158. C22⋊C4×Dic11C22semidirect
159. C22⋊C4×Dic11C22semidirect
160. C22⋊C4×Dic11C22semidirect
161. C22⋊C4×Dic11C22semidirect
162. C22⋊C4×Dic11C22semidirect
163. #10622288C22semidirect
164. #10622287C22semidirect
165. #10622287C22semidirect
166. #10622283C22semidirect
167. #10622283C22semidirect
168. #10622283C22semidirect
169. #10622283C22semidirect
170. #10622283C22semidirect
171. #10622283C22semidirect
172. #10622283C22semidirect
173. #10622282C22semidirect
174. #10622282C22semidirect
175. #10622282C22semidirect
176. #10622278C22semidirect
177. #10622278C22semidirect
178. #10622277C22semidirect
179. C11⋊#401C22semidirect
180. #10622274C22semidirect
181. #10622273C22semidirect
182. #10622268C22semidirect
183. #10622268C22semidirect
184. #10622267C22semidirect
185. #10622264C22semidirect
186. #10622264C22semidirect
593. #2437D11semidirect
769. C2×C22⋊Q8C2×D11semidirect
789. #399C2×D11semidirect
800. #396C2×D11semidirect
801. #396C2×D11semidirect
813. #393C2×D11semidirect
884. #385C2×D11semidirect
885. #385C2×D11semidirect
896. #380C2×D11semidirect
1391. C11#34998semidirect

Maximal subgroups

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

subgroupindex
#130769482
#130769412
#130769332
#130769192
#130746822
#130746222
#130746072
#130732772
#130731722
#130731212
#130729482
#130728692
#130727492
#130726702
#130725562
#130723702
#130721652
#130720062
#130719842
#130719442
#130713512
#130712732
#130712442
#130712132
#130711152
C2×#106225712
C2×C22⋊C4×Dic112
C11×#24372
#3499811