Finite Group Databasebeta

← #14962151

Subgroups — #14962151

Order 2816.

2078 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076911C211yesmaximal, characteristic, complemented
2#13076897C211yesmaximal, characteristic, complemented
3#13076269C211yesmaximal, characteristic, complemented
4#13076263C211yesmaximal, characteristic, complemented
5#13076089C211yesmaximal, characteristic, complemented
6#13076008C211yesmaximal, characteristic, complemented
7#13075899C211yesmaximal, characteristic, complemented
8#13075838C211yesmaximal, characteristic, complemented
9#13075828C211yesmaximal, characteristic, complemented
10#13075760C211yesmaximal, characteristic, complemented
11#13075679C211yesmaximal, characteristic, complemented
12#13075372C211yesmaximal, characteristic, complemented
13#13075324C211yesmaximal, characteristic, complemented
14#13075303C211yesmaximal, characteristic, complemented
15#13075234C211yesmaximal, characteristic, complemented
16#13075228C211yesmaximal, characteristic, complemented
17#13075045C211yesmaximal, characteristic, complemented
18#13074857C211yesmaximal, characteristic, complemented
19#13074358C211yesmaximal, characteristic, complemented
20#13073546C211yesmaximal, characteristic, complemented
21#13073511C211yesmaximal, characteristic, complemented
22#13072339C211yesmaximal, characteristic, complemented
23#13072171C211yesmaximal, characteristic, complemented
24#13072150C211yesmaximal, characteristic, complemented
25#13072097C211yesmaximal, characteristic, complemented
26#13072076C211yesmaximal, characteristic, complemented
27#13072055C211yesmaximal, characteristic, complemented
28#13071317C211yesmaximal, characteristic, complemented
29#13071244C211yesmaximal, characteristic, complemented
30C2×#10622602C211yesmaximal, characteristic, complemented
31C11×#2623C211yesmaximal, characteristic, complemented
32C23×C4×D11C2211yescharacteristic
33C2×C11×#123C2211yescharacteristic
34C22×C11×C4⋊C4C2211yescharacteristic
35C2×#66992C2211yescharacteristic
36C2×#66992C2211yescharacteristic
37C2×#66990C2211yescharacteristic
38C2×D4×Dic11C2211yescharacteristic
39C2×#66983C2211yescharacteristic
40C2×#66982C2211yescharacteristic
41C2×#66982C2211yescharacteristic
42C22×(C2×D11)⋊C4C2211yescharacteristic
43C22×(C2×D11)⋊C4C2211yescharacteristic
44C22×Dic11⋊C4C2211yescharacteristic
45C2×#66948C2211yescharacteristic
46C2×#66947C2211yescharacteristic
47C2×#66947C2211yescharacteristic
48C2×#66942C2211yescharacteristic, complemented
49C2×#66939C2211yescharacteristic
50C2×#66937C2211yescharacteristic
51C2×#66937C2211yescharacteristic
52C2×#66937C2211yescharacteristic, complemented
53C2×#66935C2211yescharacteristic
54C2×#66935C2211yescharacteristic
55C2×(C22⋊D11)⋊C4C2211yescharacteristic
56C2×(C22⋊D11)⋊C4C2211yescharacteristic
57C11×#400C2211yescharacteristic, complemented
58C11×#400C2211yescharacteristic, complemented
59C11×#399C2211yescharacteristic, complemented
60C11×#399C2211yescharacteristic, complemented
61C11×#398C2211yescharacteristic, complemented
62C11×#398C2211yescharacteristic, complemented
63C11×#397C2211yescharacteristic, complemented
64C11×#397C2211yescharacteristic, complemented
65C11×#386C2211yescharacteristic
66C11×#386C2211yescharacteristic
67C11×#385C2211yescharacteristic
68C11×#385C2211yescharacteristic
69C11×#381C2211yescharacteristic
70#10622826C2211yescharacteristic
71#10622826C2211yescharacteristic
72#10622825C2211yescharacteristic
73C2×C11⋊#95C2211yescharacteristic
74C2×C11⋊#95C2211yescharacteristic
75#10622607C2211yescharacteristic
76#10622607C2211yescharacteristic, complemented
77#10622607C2211yescharacteristic, complemented
78#10622607C2211yescharacteristic, complemented
79#10622607C2211yescharacteristic, complemented
80#10622607C2211yescharacteristic, complemented
81#10622605C2211yescharacteristic
82#10622605C2211yescharacteristic
83#10622604C2211yescharacteristic
84#10622604C2211yescharacteristic, complemented
85#10622604C2211yescharacteristic, complemented
86#10622603C2211yescharacteristic, complemented
87#10622603C2211yescharacteristic, complemented
88#10622602C2211yescharacteristic
89#10622602C2211yescharacteristic
90#10622602C2211yescharacteristic
91#10622602C2211yescharacteristic
92#10622602C2211yescharacteristic
93#10622602C2211yescharacteristic
94#10622602C2211yescharacteristic
95#10622602C2211yescharacteristic
96#10622602C2211yescharacteristic
97#10622602C2211yescharacteristic
98#10622601C2211yescharacteristic
99#10622601C2211yescharacteristic
100#10622601C2211yescharacteristic
101#10622600C2211yescharacteristic, complemented
102#10622597C2211yescharacteristic, complemented
103#10622597C2211yescharacteristic, complemented
104#10622596C2211yescharacteristic, complemented
105#10622596C2211yescharacteristic, complemented
106#10622593C2211yescharacteristic, complemented
107#10622591C2211yescharacteristic, complemented
108#10622590C2211yescharacteristic, complemented
109#10622585C2211yescharacteristic, complemented
110#10622585C2211yescharacteristic, complemented
111#10622574C2211yescharacteristic
112#10622574C2211yescharacteristic
113#10622573C2211yescharacteristic
114#10622573C2211yescharacteristic
115#10622572C2211yescharacteristic, complemented
116#10622572C2211yescharacteristic, complemented
117#10622571C2211yescharacteristic
118#10622571C2211yescharacteristic
119#10622571C2211yescharacteristic
120#10622571C2211yescharacteristic, complemented
121#10622571C2211yescharacteristic, complemented
122#10622570C2211yescharacteristic
123#10622570C2211yescharacteristic
124#10622570C2211yescharacteristic, complemented
125#10622569C2211yescharacteristic
126#10622569C2211yescharacteristic
127#10622569C2211yescharacteristic, complemented
128#10622568C2211yescharacteristic
129#10622565C2211yescharacteristic, complemented
130#10622563C2211yescharacteristic
131#10622561C2211yescharacteristic, complemented
132#10622559C2211yescharacteristic
133#10622559C2211yescharacteristic, complemented
134#10622558C2211yescharacteristic, complemented
135#10622555C2211yescharacteristic
136#10622555C2211yescharacteristic
137#10622555C2211yescharacteristic, complemented
138C22⋊C4×Dic11C2211yescharacteristic
139#10622290C2211yescharacteristic
140#10622289C2211yescharacteristic
141#10622289C2211yescharacteristic
142#10622289C2211yescharacteristic, complemented
143#10622288C2211yescharacteristic, complemented
144#10622287C2211yescharacteristic
145#10622287C2211yescharacteristic, complemented
146#10622285C2211yescharacteristic
147#10622285C2211yescharacteristic
148#10622285C2211yescharacteristic
149#10622285C2211yescharacteristic, complemented
150#10622284C2211yescharacteristic
151#10622283C2211yescharacteristic
152#10622283C2211yescharacteristic
153#10622283C2211yescharacteristic
154#10622283C2211yescharacteristic, complemented
155#10622282C2211yescharacteristic
156#10622282C2211yescharacteristic
157#10622282C2211yescharacteristic, complemented
158#10622281C2211yescharacteristic, complemented
159#10622281C2211yescharacteristic, complemented
160#10622280C2211yescharacteristic
161#10622280C2211yescharacteristic
162#10622280C2211yescharacteristic, complemented
163#10622278C2211yescharacteristic
164#10622278C2211yescharacteristic
165#10622278C2211yescharacteristic
166#10622278C2211yescharacteristic
167#10622278C2211yescharacteristic
168#10622278C2211yescharacteristic
169#10622278C2211yescharacteristic
170#10622277C2211yescharacteristic
171#10622277C2211yescharacteristic
172#10622277C2211yescharacteristic, complemented
173#10622277C2211yescharacteristic, complemented
174#10622272C2211yescharacteristic, complemented
175#10622271C2211yescharacteristic, complemented
176#10622271C2211yescharacteristic, complemented
177#10622270C2211yescharacteristic, complemented
178#10622268C2211yescharacteristic, complemented
179#10622268C2211yescharacteristic, complemented
180#10622267C2211yescharacteristic, complemented
181#10622265C2211yescharacteristic, complemented
182#10622265C2211yescharacteristic, complemented
183#10622264C2211yescharacteristic, complemented
184#10622263C2211yescharacteristic, complemented
185#10622260C2211yescharacteristic, complemented
186#10622260C2211yescharacteristic, complemented
187C24×D11C2311yescharacteristic
188C22×D4×C11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C22×C22⋊D11C2311yescharacteristic
193C22×C22⋊D11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C23×Dic11C2311yescharacteristic
199C23×Dic11C2311yescharacteristic
200C23×Dic11C2311yescharacteristic
201C23×Dic11C2311yescharacteristic
202C22×D44C2311yescharacteristic
203C22×D44C2311yescharacteristic
204C22×D44C2311yescharacteristic
205C22×D44C2311yescharacteristic
206C22×D44C2311yescharacteristic
207C22×C4×D11—42no—
208C22×C4×D11—42no—
209C22×C4×D11—42no—
210C22×C4×D11C2311yescharacteristic
211C22×C4×D11C2311yescharacteristic
212C22×C4×D11C2311yescharacteristic
213C22×C4×D11C2311yescharacteristic
214C22×C4×D11C2311yescharacteristic
215C22×C4×D11C2311yescharacteristic
216C11×#123—42no—
217C2×C11×C4⋊C4—42no—
218C2×C11×C4⋊C4C2311yescharacteristic
219C2×C11×C4⋊C4C2311yescharacteristic
220C2×C11×C4⋊C4C2311yescharacteristic
221C2×C11×C4⋊C4C2311yescharacteristic
222C2×C11×C4⋊C4C2311yescharacteristic
223C2×C11×C4⋊C4C2311yescharacteristic
224C2×C11×C4⋊C4C2311yescharacteristic
225C2×C11×C4⋊C4C2311yescharacteristic
226C2×C11×C4⋊C4C2311yescharacteristic
227C2×C11×C4⋊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×C22⋊Dic11C2311yescharacteristic
238C2×C22⋊Dic11C2311yescharacteristic
239C2×C22⋊Dic11C2311yescharacteristic
240C2×C22⋊Dic11C2311yescharacteristic
241C2×C22⋊Dic11C2311yescharacteristic
242#66992—24no—
243#66992—42no—
244#66990—42no—
245D4×Dic11—42no—
246#66983—42no—
247#66982—42no—
248#66982—42no—
249C2×(C2×D11)⋊C4—24no—
250C2×(C2×D11)⋊C4—42no—
251C2×(C2×D11)⋊C4C2311yescharacteristic
252C2×(C2×D11)⋊C4C2311yescharacteristic
253C2×(C2×D11)⋊C4C2311yescharacteristic
254C2×(C2×D11)⋊C4C2311yescharacteristic
255C2×(C2×D11)⋊C4C2311yescharacteristic
256C2×(C2×D11)⋊C4C2311yescharacteristic
257C2×(C2×D11)⋊C4C2311yescharacteristic
258C2×(C2×D11)⋊C4C2311yescharacteristic
259C2×(C2×D11)⋊C4C2311yescharacteristic
260C2×(C2×D11)⋊C4C2311yescharacteristic
261C2×(C2×D11)⋊C4C2311yescharacteristic
262C2×(C2×D11)⋊C4C2311yescharacteristic
263C2×(C2×D11)⋊C4C2311yescharacteristic
264C2×(C2×D11)⋊C4C2311yescharacteristic
265C2×(C2×D11)⋊C4C2311yescharacteristic
266C2×(C2×D11)⋊C4C2311yescharacteristic
267C2×(C2×D11)⋊C4C2311yescharacteristic
268C2×(C2×D11)⋊C4C2311yescharacteristic
269C2×(C2×D11)⋊C4C2311yescharacteristic
270C2×(C2×D11)⋊C4C2311yescharacteristic
271C2×(C2×D11)⋊C4C2311yescharacteristic
272C2×(C2×D11)⋊C4C2311yescharacteristic
273C2×(C2×D11)⋊C4C2311yescharacteristic
274C2×(C2×D11)⋊C4C2311yescharacteristic
275C2×(C2×D11)⋊C4C2311yescharacteristic
276C2×(C2×D11)⋊C4C2311yescharacteristic
277C2×(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×C4⋊Dic11C2311yescharacteristic
288C2×C4⋊Dic11C2311yescharacteristic
289C2×C4⋊Dic11C2311yescharacteristic
290C2×C4⋊Dic11C2311yescharacteristic
291C2×C4⋊Dic11C2311yescharacteristic
292C2×C4⋊Dic11C2311yescharacteristic
293C2×Dic11⋊C4—42no—
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×Dic11⋊C4C2311yescharacteristic
304C2×Dic11⋊C4C2311yescharacteristic
305C2×Dic11⋊C4C2311yescharacteristic
306C2×Dic11⋊C4C2311yescharacteristic
307C2×Dic11⋊C4C2311yescharacteristic
308C2×Dic11⋊C4C2311yescharacteristic
309C2×Dic11⋊C4C2311yescharacteristic
310C2×Dic11⋊C4C2311yescharacteristic
311C2×Dic11⋊C4C2311yescharacteristic
312C2×C4×Dic11C2311yescharacteristic
313C2×C4×Dic11C2311yescharacteristic
314C2×C4×Dic11C2311yescharacteristic
315C2×C4×Dic11C2311yescharacteristic
316C2×C4×Dic11C2311yescharacteristic
317#66948—42no—
318#66947—42no—
319#66947—42no—
320#66942—42no—
321#66939—42no—
322#66937—42no—
323#66937—42no—
324#66937—42no—
325#66935—42no—
326#66935—42no—
327(C22⋊D11)⋊C4—24no—
328(C22⋊D11)⋊C4—42no—
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#36777—111nomaximal, Sylow
370C24×C11C2411yescharacteristic
371C24×C11C2411yescharacteristic
372C23×D11—22no—
373C23×D11—22no—
374C23×D11—22no—
375C23×D11—22no—
376C23×D11—22no—
377C23×D11—41no—
378C23×D11—41no—
379C23×D11C2411yescharacteristic
380C23×D11C2411yescharacteristic
381C23×D11C2411yescharacteristic
382C23×D11C2411yescharacteristic
383C2×D4×C11—22no—
384C2×D4×C11—22no—
385C2×D4×C11—22no—
386C22×C4×C11—22no—
387C22×C4×C11—22no—
388C22×C4×C11—22no—
389C22×C4×C11—22no—
390C22×C4×C11—22no—
391C22×C4×C11—41no—
392C22×C4×C11—41no—
393C22×C4×C11—41no—
394C22×C4×C11—41no—
395C22×C4×C11C2411yescharacteristic
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—41no—
419C2×C22⋊D11—41no—
420C2×C22⋊D11—41no—
421C2×C22⋊D11—41no—
422C2×C22⋊D11—41no—
423C2×C22⋊D11—41no—
424C2×C22⋊D11—41no—
425C2×C22⋊D11—41no—
426C22×Dic11—22no—
427C22×Dic11—22no—
428C22×Dic11—22no—
429C22×Dic11—41no—
430C22×Dic11—41no—
431C22×Dic11—41no—
432C22×Dic11—41no—
433C22×Dic11—41no—
434C22×Dic11—41no—
435C22×Dic11—41no—
436C22×Dic11—41no—
437C22×Dic11#4114yes—
438C22×Dic11C2411yescharacteristic
439C22×Dic11C2411yescharacteristic
440C22×Dic11C2411yescharacteristic
441C22×Dic11C2411yescharacteristic
442C22×Dic11C2411yescharacteristic
443C22×Dic11C2411yescharacteristic
444C22×Dic11C2411yescharacteristic
445C22×Dic11C2411yescharacteristic
446C22×Dic11C2411yescharacteristic
447C22×Dic11C2411yescharacteristic
448C22×Dic11C2411yescharacteristic
449C22×Dic11C2411yescharacteristic
450C2×D44—22no—
451C2×D44—22no—
452C2×D44—22no—
453C2×D44—22no—
454C2×D44—41no—
455C2×D44—41no—
456C2×D44—41no—
457C2×D44—41no—
458C2×D44—41no—
459C2×D44—41no—
460C2×D44—41no—
461C2×D44—41no—
462C2×D44—41no—
463C2×D44—41no—
464C2×D44—41no—
465C2×C4×D11—22no—
466C2×C4×D11—22no—
467C2×C4×D11—22no—
468C2×C4×D11—22no—
469C2×C4×D11—22no—
470C2×C4×D11—41no—
471C2×C4×D11—41no—
472C2×C4×D11—41no—
473C2×C4×D11—41no—
474C2×C4×D11—41no—
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—416no—
484C11×C4⋊C4—41no—
485C11×C4⋊C4—41no—
486C11×C4⋊C4—41no—
487C11×C4⋊C4—41no—
488C11×C4⋊C4—41no—
489C11×C4⋊C4—41no—
490C11×C4⋊C4—41no—
491C11×C4⋊C4—41no—
492C11×C4⋊C4—41no—
493C11×C4⋊C4—41no—
494C11×C22⋊C4—22no—
495C11×C22⋊C4—22no—
496C11×C22⋊C4—22no—
497C11×C22⋊C4—41no—
498C11×C22⋊C4—41no—
499C11×C22⋊C4—41no—
500C11×C22⋊C4—41no—
501C11×C22⋊C4—41no—
502C11×C22⋊C4—41no—
503C22⋊Dic11—22no—
504C22⋊Dic11—22no—
505C22⋊Dic11—22no—
506C22⋊Dic11—41no—
507C22⋊Dic11—41no—
508(C2×D11)⋊C4—22no—
509(C2×D11)⋊C4—22no—
510(C2×D11)⋊C4—22no—
511(C2×D11)⋊C4—22no—
512(C2×D11)⋊C4—22no—
513(C2×D11)⋊C4—22no—
514(C2×D11)⋊C4—22no—
515(C2×D11)⋊C4—22no—
516(C2×D11)⋊C4—22no—
517(C2×D11)⋊C4—22no—
518(C2×D11)⋊C4—22no—
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—
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—
544C4⋊Dic11—41no—
545C4⋊Dic11—41no—
546C4⋊Dic11—41no—
547C4⋊Dic11—41no—
548C4⋊Dic11—41no—
549C4⋊Dic11—41no—
550Dic11⋊C4—22no—
551Dic11⋊C4—22no—
552Dic11⋊C4—22no—
553Dic11⋊C4—22no—
554Dic11⋊C4—22no—
555Dic11⋊C4—22no—
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—
565Dic11⋊C4—41no—
566Dic11⋊C4—41no—
567Dic11⋊C4—41no—
568C4×Dic11—22no—
569C4×Dic11—41no—
570C4×Dic11—41no—
571C4×Dic11—41no—
572C4×Dic11—41no—
573#2849—111no—
574#2847—111no—
575#2780—111no—
576#2780—111no—
577#2768—111no—
578#2761—111no—
579#2753—111no—
580#2749—111no—
581#2748—111no—
582#2743—111no—
583#2738—111no—
584#2711—111no—
585#2707—111no—
586#2706—111no—
587#2701—111no—
588#2701—111no—
589#2688—111no—
590#2671—111no—
591#2623D1111yescharacteristic, complemented
592#2618—111no—
593#2539—111no—
594#2534—111no—
595#2442—111no—
596#2425—111no—
597#2424—111no—
598#2419—111no—
599#2418—111no—
600#2416—111no—
601#2325—111no—
602#2318—111no—
603C2×#385—111no—
604C23×C11—21no—
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×C11C2×#4112yes—
616C23×C11H(5,𝔽2)12yes—
617C23×C11H(5,𝔽2)12yes—
618C23×C11C2511yescharacteristic
619C22×D11—28no—
620C22×D11—21no—
621C22×D11—21no—
622C22×D11—21no—
623C22×D11—21no—
624C22×D11—21no—
625C22×D11—21no—
626C22×D11—21no—
627C22×D11—21no—
628C22×D11—21no—
629C22×D11—21no—
630C22×D11—21no—
631C22×D11—21no—
632C22×D11—21no—
633C22×D11—21no—
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—44no—
647C22×D11—44no—
648C22×D11—44no—
649C22×D11—44no—
650C22×D11—44no—
651C22×D11—44no—
652C22×D11H(5,𝔽2)12yes—
653C22×D112−1+412yes—
654D4×C11—44no—
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—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—44no—
695C2×C4×C11—44no—
696C2×C4×C11—82no—
697C22⋊D11—44no—
698C22⋊D11—44no—
699C22⋊D11—82no—
700C22⋊D11—82no—
701C22⋊D11—82no—
702C22⋊D11—82no—
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—21no—
734C2×Dic11—21no—
735C2×Dic11—21no—
736C2×Dic11—44no—
737C2×Dic11—44no—
738C2×Dic11—82no—
739C2×Dic11—82no—
740C2×Dic11C2×#4112yes—
741C2×Dic11C2×#4112yes—
742C2×Dic11H(5,𝔽2)12yes—
743D44—82no—
744D44—82no—
745D44—82no—
746D44—82no—
747D44—82no—
748C4×D11—44no—
749C4×D11—44no—
750C4×D11—44no—
751C4×D11—44no—
752C4×D11—82no—
753C4×D11—82no—
754C24×C4—111no—
755C2×#125—111no—
756C2×#123—111no—
757C2×#123—111no—
758C2×#123—111no—
759C2×#123—111no—
760C2×#123—111no—
761C2×#123C2×D1111yescharacteristic
762C2×#121—111no—
763C2×#121—111no—
764C2×#121—111no—
765C2×#121—111no—
766C2×#121—111no—
767C2×#121—111no—
768C2×#121—111no—
769C2×#120—111no—
770C2×#120—111no—
771C2×#120—111no—
772C2×C4×D4—111no—
773C2×C4×D4—111no—
774C2×C4×D4—111no—
775C22×C4⋊C4—111no—
776C22×C4⋊C4C2×D1111yescharacteristic
777C22×C22⋊C4—111no—
778C22×C22⋊C4—111no—
779#400—111no—
780#400—111no—
781#400—111no—
782#400C2×D1111yescharacteristic, complemented
783#400C2×D1111yescharacteristic, complemented
784#399—111no—
785#399—111no—
786#399—111no—
787#399C2×D1111yescharacteristic, complemented
788#399C2×D1111yescharacteristic, complemented
789#398—111no—
790#398—111no—
791#398—111no—
792#398—111no—
793#398—111no—
794#398—111no—
795#398C2×D1111yescharacteristic, complemented
796#398C2×D1111yescharacteristic, complemented
797#397—111no—
798#397—111no—
799#397—111no—
800#397—111no—
801#397C2×D1111yescharacteristic, complemented
802#397C2×D1111yescharacteristic, complemented
803#396—111no—
804#396—111no—
805#396—111no—
806#396—111no—
807#396—111no—
808#396—111no—
809#396—111no—
810#396—111no—
811#396—111no—
812#396—111no—
813#394—111no—
814#394—111no—
815#394—111no—
816#394—111no—
817#394—111no—
818#394—111no—
819#394—111no—
820#394—111no—
821#394—111no—
822#394—111no—
823#394—111no—
824#392—111no—
825#392—111no—
826#392—111no—
827#390—111no—
828#390—111no—
829#390—111no—
830#390—111no—
831#390—111no—
832#390—111no—
833#389—111no—
834#389—111no—
835#389—111no—
836#389—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#388—111no—
846#388—111no—
847#387—111no—
848#387—111no—
849#387—111no—
850#387—111no—
851#387—111no—
852#387—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#386—111no—
867#386—111no—
868#386—111no—
869#386—111no—
870#386C2×D1111yescharacteristic
871#386C2×D1111yescharacteristic
872#385—111no—
873#385—111no—
874#385—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#385—111no—
885#385—111no—
886#385—111no—
887#385C2×D1111yescharacteristic
888#385C2×D1111yescharacteristic
889#383—111no—
890#382—111no—
891#382—111no—
892#381—111no—
893#381—111no—
894#381—111no—
895#381—111no—
896#381C2×D1111yescharacteristic
897#380—111no—
898#380—111no—
899#380—111no—
900#380—111no—
901#380—111no—
902#380—111no—
903#380—111no—
904#380—111no—
905#379—111no—
906C4×C22⋊C4—111no—
907C2×#95—111no—
908C2×#95—111no—
909C22×C11—22no—
910C22×C11—22no—
911C22×C11—22no—
912C22×C11—22no—
913C22×C11—22no—
914C22×C11—22no—
915C22×C11—41no—
916C22×C11—41no—
917C22×C11—41no—
918C22×C11—41no—
919C22×C11—41no—
920C22×C11—41no—
921C22×C11—41no—
922C22×C11#54014yes—
923C22×C11C22×#4111yescharacteristic
924C22×C11C2×H(5,𝔽2)11yescharacteristic
925C22×C11C2×H(5,𝔽2)11yescharacteristic
926C22×C11C2×H(5,𝔽2)11yescharacteristic
927C22×C11C2×H(5,𝔽2)11yescharacteristic
928C22×C11C2×2−1+411yescharacteristic
929C22×C11#58511yescharacteristic
930C2×D11—22no—
931C2×D11—22no—
932C2×D11—22no—
933C2×D11—22no—
934C2×D11—22no—
935C2×D11—22no—
936C2×D11—416no—
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—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—
959C4×C11—41no—
960C4×C11—41no—
961C4×C11—41no—
962C4×C11—41no—
963C4×C11—41no—
964C4×C11—41no—
965C4×C11—41no—
966C4×C11—41no—
967C4×C11—41no—
968C4×C11—41no—
969C4×C11—41no—
970C4×C11—41no—
971C4×C11—41no—
972Dic11—22no—
973Dic11—22no—
974Dic11—22no—
975Dic11—41no—
976Dic11—41no—
977Dic11—41no—
978Dic11—41no—
979Dic11—41no—
980Dic11—41no—
981Dic11—41no—
982Dic11—41no—
983Dic11—41no—
984C25—111no—
985C22×D4—111no—
986C22×D4—111no—
987C22×D4—111no—
988C22×D4—111no—
989C22×D4—111no—
990C22×D4—111no—
991C22×D4—111no—
992C22×D4—111no—
993C22×D4—111no—
994C22×D4—111no—
995C22×D4—111no—
996C22×D4C22×D1111yescharacteristic
997C23×C4—111no—
998C23×C4—111no—
999C23×C4—111no—
1000C23×C4—111no—
1001C23×C4—111no—
1002C23×C4—111no—
1003C23×C4—111no—
1004C23×C4—111no—
1005C23×C4—111no—
1006C23×C4—111no—
1007C23×C4—442no—
1008C23×C4—442no—
1009C23×C4—442no—
1010C23×C4C22×D1111yescharacteristic
1011C23×C4C22×D1111yescharacteristic
1012C23×C4C22×D1111yescharacteristic
1013#125—442no—
1014#123—42no—
1015#123—442no—
1016#123—442no—
1017#123—442no—
1018#123—442no—
1019#123—442no—
1020#121—224no—
1021#121—442no—
1022#121—442no—
1023#121—442no—
1024#121—442no—
1025#121—442no—
1026#121—442no—
1027#120—442no—
1028#120—442no—
1029#120—442no—
1030C4×D4—224no—
1031C4×D4—442no—
1032C4×D4—442no—
1033C2×C4⋊C4—42no—
1034C2×C4⋊C4—111no—
1035C2×C4⋊C4—111no—
1036C2×C4⋊C4—111no—
1037C2×C4⋊C4—111no—
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⋊C4—111no—
1055C2×C4⋊C4—111no—
1056C2×C4⋊C4—111no—
1057C2×C4⋊C4—111no—
1058C2×C4⋊C4—442no—
1059C2×C4⋊C4C22×D1111yescharacteristic
1060C2×C4⋊C4C22×D1111yescharacteristic
1061C2×C4⋊C4C22×D1111yescharacteristic
1062C2×C4⋊C4C22×D1111yescharacteristic
1063C2×C4⋊C4C22×D1111yescharacteristic
1064C2×C4⋊C4C22×D1111yescharacteristic
1065C2×C4⋊C4C22×D1111yescharacteristic
1066C2×C4⋊C4C22×D1111yescharacteristic
1067C2×C4⋊C4C22×D1111yescharacteristic
1068C2×C4⋊C4C22×D1111yescharacteristic
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—111no—
1101C2×C22⋊C4—111no—
1102C2×C22⋊C4—111no—
1103C2×C22⋊C4—111no—
1104C2×C22⋊C4—111no—
1105C2×C22⋊C4—111no—
1106C2×C22⋊C4—111no—
1107C2×C22⋊C4—111no—
1108C2×C22⋊C4—111no—
1109C2×C22⋊C4—111no—
1110C2×C22⋊C4—224no—
1111C2×C22⋊C4—442no—
1112C2×C22⋊C4C22×D1111yescharacteristic
1113C2×C22⋊C4C22×D1111yescharacteristic
1114C2×C22⋊C4C22×D1111yescharacteristic
1115C2×C22⋊C4C22×D1111yescharacteristic
1116C2×C22⋊C4C22×D1111yescharacteristic
1117C2×C22⋊C4C22×D1111yescharacteristic
1118C2×C22⋊C4C22×D1111yescharacteristic
1119C2×C22⋊C4C22×D1111yescharacteristic
1120C2×C22⋊C4C22×D1111yescharacteristic
1121C2×C42—111no—
1122C2×C42—111no—
1123C2×C42—111no—
1124C2×C42—111no—
1125C2×C42—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#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#95C22×D1111yescharacteristic
1155#95C22×D1111yescharacteristic
1156#95C22×D1111yescharacteristic
1157#95C22×D1111yescharacteristic
1158#95C22×D1111yescharacteristic
1159#95C22×D1111yescharacteristic
1160#95C22×D1111yescharacteristic
1161#95C22×D1111yescharacteristic
1162#95C22×D1111yescharacteristic
1163#95C22×D1111yescharacteristic
1164#95C22×D1111yescharacteristic
1165#95C22×D1111yescharacteristic
1166C2×C11—24no—
1167C2×C11—81no—
1168C2×C11C2×#54011yescharacteristic
1169C2×C11#349211yescharacteristic
1170C2×C11#350511yescharacteristic
1171C2×C11#353211yescharacteristic
1172C2×C11#353411yescharacteristic
1173C2×C11#353511yescharacteristic
1174C2×C11#353611yescharacteristic
1175D11—42no—
1176D11—42no—
1177D11—81no—
1178D11—81no—
1179C24—111no—
1180C24—111no—
1181C24—111no—
1182C24—111no—
1183C24—222no—
1184C24—222no—
1185C24—222no—
1186C24—222no—
1187C24—222no—
1188C24—441no—
1189C24—441no—
1190C24C23×D1111yescharacteristic
1191C24C23×D1111yescharacteristic
1192C2×D4—22no—
1193C2×D4—22no—
1194C2×D4—22no—
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—222no—
1206C2×D4—222no—
1207C2×D4—222no—
1208C2×D4—222no—
1209C2×D4—441no—
1210C2×D4—441no—
1211C2×D4—441no—
1212C2×D4—441no—
1213C2×D4—441no—
1214C2×D4—441no—
1215C2×D4—441no—
1216C2×D4—441no—
1217C2×D4—441no—
1218C2×D4—441no—
1219C2×D4—441no—
1220C2×D4—441no—
1221C2×D4—441no—
1222C2×D4—441no—
1223C2×D4—441no—
1224C2×D4—441no—
1225C2×D4—441no—
1226C2×D4—441no—
1227C2×D4—441no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—41no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×C4—41no—
1237C22×C4—111no—
1238C22×C4—111no—
1239C22×C4—111no—
1240C22×C4—114no—
1241C22×C4—111no—
1242C22×C4—111no—
1243C22×C4—111no—
1244C22×C4—111no—
1245C22×C4—111no—
1246C22×C4—111no—
1247C22×C4—111no—
1248C22×C4—111no—
1249C22×C4—111no—
1250C22×C4—222no—
1251C22×C4—222no—
1252C22×C4—222no—
1253C22×C4—222no—
1254C22×C4—222no—
1255C22×C4—222no—
1256C22×C4—222no—
1257C22×C4—222no—
1258C22×C4—441no—
1259C22×C4—441no—
1260C22×C4—441no—
1261C22×C4—441no—
1262C22×C4—441no—
1263C22×C4—441no—
1264C22×C4—441no—
1265C22×C4—441no—
1266C22×C4—441no—
1267C22×C4—441no—
1268C22×C4—441no—
1269C22×C4—441no—
1270C22×C4—441no—
1271C22×C4—4416no—
1272C22×C4—441no—
1273C22×C4—441no—
1274C22×C4—441no—
1275C22×C4—441no—
1276C22×C4—441no—
1277C22×C4—441no—
1278C22×C4—441no—
1279C22×C4—441no—
1280C22×C4C23×D1111yescharacteristic
1281C22×C4C23×D1111yescharacteristic
1282C22×C4C23×D1111yescharacteristic
1283C22×C4C23×D1111yescharacteristic
1284C22×C4C23×D1111yescharacteristic
1285C22×C4C23×D1111yescharacteristic
1286C22×C4C23×D1111yescharacteristic
1287C22×C4C23×D1111yescharacteristic
1288C22×C4C23×D1111yescharacteristic
1289C22×C4C23×D1111yescharacteristic
1290C22×C4C23×D1111yescharacteristic
1291C22×C4C23×D1111yescharacteristic
1292C22×C4C23×D1111yescharacteristic
1293C4⋊C4—41no—
1294C4⋊C4—41no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—41no—
1298C4⋊C4—41no—
1299C4⋊C4—41no—
1300C4⋊C4—41no—
1301C4⋊C4—41no—
1302C4⋊C4—41no—
1303C4⋊C4—222no—
1304C4⋊C4—222no—
1305C4⋊C4—222no—
1306C4⋊C4—222no—
1307C4⋊C4—222no—
1308C4⋊C4—222no—
1309C4⋊C4—441no—
1310C4⋊C4—441no—
1311C4⋊C4—441no—
1312C4⋊C4—441no—
1313C4⋊C4—441no—
1314C4⋊C4—441no—
1315C4⋊C4—441no—
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—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—222no—
1337C22⋊C4—222no—
1338C22⋊C4—222no—
1339C22⋊C4—222no—
1340C22⋊C4—222no—
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—441no—
1351C22⋊C4—441no—
1352C22⋊C4—441no—
1353C22⋊C4—441no—
1354C22⋊C4—441no—
1355C22⋊C4—441no—
1356C22⋊C4—441no—
1357C22⋊C4—441no—
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—
1377C42—222no—
1378C42—441no—
1379C42—441no—
1380C42—441no—
1381C42—441no—
1382C11#3677711yescharacteristic, complemented, Sylow
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—112no—
1395C23—112no—
1396C23—228no—
1397C23—221no—
1398C23—221no—
1399C23—221no—
1400C23—221no—
1401C23—221no—
1402C23—221no—
1403C23—221no—
1404C23—221no—
1405C23—221no—
1406C23—221no—
1407C23—221no—
1408C23—221no—
1409C23—221no—
1410C23—221no—
1411C23—221no—
1412C23—221no—
1413C23—221no—
1414C23—221no—
1415C23—221no—
1416C23—221no—
1417C23—221no—
1418C23—221no—
1419C23—221no—
1420C23—221no—
1421C23—221no—
1422C23—221no—
1423C23—444no—
1424C23—444no—
1425C23—444no—
1426C23—444no—
1427C23—444no—
1428C23—444no—
1429C23#6703712yes—
1430C23#41×D1112yes—
1431C23#6704212yes—
1432C23C24×D1111yescharacteristic
1433D4—44no—
1434D4—444no—
1435D4—444no—
1436D4—882no—
1437D4—882no—
1438D4—882no—
1439D4—882no—
1440D4—882no—
1441D4—882no—
1442D4—882no—
1443D4—882no—
1444D4—882no—
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—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—44no—
1485C2×C4—44no—
1486C2×C4—82no—
1487C2×C4—112no—
1488C2×C4—112no—
1489C2×C4—112no—
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—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—444no—
1524C2×C4—444no—
1525C2×C4—444no—
1526C2×C4—444no—
1527C2×C4—444no—
1528C2×C4—444no—
1529C2×C4—882no—
1530C2×C4—882no—
1531C2×C4—882no—
1532C2×C4—882no—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—222no—
1547C22—222no—
1548C22—222no—
1549C22—222no—
1550C22—222no—
1551C22—222no—
1552C22—4416no—
1553C22—441no—
1554C22—441no—
1555C22—441no—
1556C22—441no—
1557C22—441no—
1558C22—441no—
1559C22—441no—
1560C22—441no—
1561C22—441no—
1562C22—441no—
1563C22—441no—
1564C22—441no—
1565C22—441no—
1566C22—441no—
1567C22—441no—
1568C22—441no—
1569C22—441no—
1570C22—441no—
1571C22—441no—
1572C22—441no—
1573C22—441no—
1574C22—441no—
1575C22#1062319414yes—
1576C22C2×#6703711yescharacteristic
1577C22C2×#41×D1111yescharacteristic
1578C22C2×#6704211yescharacteristic
1579C22D11×H(5,𝔽2)11yescharacteristic
1580C22D11×H(5,𝔽2)11yescharacteristic
1581C22D11×2−1+411yescharacteristic
1582C22#1062345711yescharacteristic
1583C4—41no—
1584C4—41no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—222no—
1597C4—222no—
1598C4—222no—
1599C4—441no—
1600C4—441no—
1601C4—441no—
1602C4—441no—
1603C4—441no—
1604C4—441no—
1605C4—441no—
1606C4—441no—
1607C4—441no—
1608C2—24no—
1609C2—81no—
1610C2—442no—
1611C2—442no—
1612C2—881no—
1613C2—881no—
1614C2C2×#1062319411yescharacteristic
1615C2#1308232111yescharacteristic
1616C2#1308244811yescharacteristic
1617C2#1308277011yescharacteristic
1618C2#1308281111yescharacteristic
1619C2#1308281511yescharacteristic
1620C2#1308284011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2623C2
hypercenter#2623D11
hypocenterC11#36777
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2623

Complements

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

NH ≅ G/Ntype
1. #13076911C2semidirect
2. #13076897C2semidirect
3. #13076269C2semidirect
4. #13076263C2semidirect
5. #13076089C2semidirect
6. #13076008C2semidirect
7. #13075899C2semidirect
8. #13075838C2semidirect
9. #13075828C2semidirect
10. #13075760C2semidirect
11. #13075679C2semidirect
12. #13075372C2semidirect
13. #13075324C2semidirect
14. #13075303C2semidirect
15. #13075234C2semidirect
16. #13075228C2semidirect
17. #13075045C2semidirect
18. #13074857C2semidirect
19. #13074358C2semidirect
20. #13073546C2semidirect
21. #13073511C2semidirect
22. #13072339C2semidirect
23. #13072171C2semidirect
24. #13072150C2semidirect
25. #13072097C2semidirect
26. #13072076C2semidirect
27. #13072055C2semidirect
28. #13071317C2semidirect
29. #13071244C2semidirect
30. C2×#10622602C2semidirect
31. C11×#2623C2semidirect
48. C2×#66942C22semidirect
52. C2×#66937C22semidirect
57. C11×#400C22semidirect
58. C11×#400C22semidirect
59. C11×#399C22semidirect
60. C11×#399C22semidirect
61. C11×#398C22semidirect
62. C11×#398C22semidirect
63. C11×#397C22semidirect
64. C11×#397C22semidirect
76. #10622607C22semidirect
77. #10622607C22semidirect
78. #10622607C22semidirect
79. #10622607C22semidirect
80. #10622607C22semidirect
84. #10622604C22semidirect
85. #10622604C22semidirect
86. #10622603C22semidirect
87. #10622603C22semidirect
101. #10622600C22semidirect
102. #10622597C22semidirect
103. #10622597C22semidirect
104. #10622596C22semidirect
105. #10622596C22semidirect
106. #10622593C22semidirect
107. #10622591C22semidirect
108. #10622590C22semidirect
109. #10622585C22semidirect
110. #10622585C22semidirect
115. #10622572C22semidirect
116. #10622572C22semidirect
120. #10622571C22semidirect
121. #10622571C22semidirect
124. #10622570C22semidirect
127. #10622569C22semidirect
129. #10622565C22semidirect
131. #10622561C22semidirect
133. #10622559C22semidirect
134. #10622558C22semidirect
137. #10622555C22semidirect
142. #10622289C22semidirect
143. #10622288C22semidirect
145. #10622287C22semidirect
149. #10622285C22semidirect
154. #10622283C22semidirect
157. #10622282C22semidirect
158. #10622281C22semidirect
159. #10622281C22semidirect
162. #10622280C22semidirect
172. #10622277C22semidirect
173. #10622277C22semidirect
174. #10622272C22semidirect
175. #10622271C22semidirect
176. #10622271C22semidirect
177. #10622270C22semidirect
178. #10622268C22semidirect
179. #10622268C22semidirect
180. #10622267C22semidirect
181. #10622265C22semidirect
182. #10622265C22semidirect
183. #10622264C22semidirect
184. #10622263C22semidirect
185. #10622260C22semidirect
186. #10622260C22semidirect
591. #2623D11semidirect
782. #400C2×D11semidirect
783. #400C2×D11semidirect
787. #399C2×D11semidirect
788. #399C2×D11semidirect
795. #398C2×D11semidirect
796. #398C2×D11semidirect
801. #397C2×D11semidirect
802. #397C2×D11semidirect
1382. C11#36777semidirect

Maximal subgroups

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

subgroupindex
#130769112
#130768972
#130762692
#130762632
#130760892
#130760082
#130758992
#130758382
#130758282
#130757602
#130756792
#130753722
#130753242
#130753032
#130752342
#130752282
#130750452
#130748572
#130743582
#130735462
#130735112
#130723392
#130721712
#130721502
#130720972
#130720762
#130720552
#130713172
#130712442
C2×#106226022
C11×#26232
#3677711