Finite Group Databasebeta

← #14962736

Subgroups — #14962736

Order 2816.

1714 conjugacy classes of subgroups.

The subgroup lattice has 1452 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076926C211yesmaximal, characteristic, complemented
2#13076594C211yesmaximal, characteristic, complemented
3#13076486C211yesmaximal, characteristic, complemented
4#13076456C211yesmaximal, characteristic, complemented
5#13076446C211yesmaximal, characteristic, complemented
6#13076426C211yesmaximal, characteristic, complemented
7#13076321C211yesmaximal, characteristic, complemented
8#13076303C211yesmaximal, characteristic, complemented
9#13076300C211yesmaximal, characteristic, complemented
10#13076274C211yesmaximal, characteristic, complemented
11#13076215C211yesmaximal, characteristic, complemented
12#13076185C211yesmaximal, characteristic, complemented
13#13076160C211yesmaximal, characteristic, complemented
14#13075574C211yesmaximal, characteristic, complemented
15#13075512C211yesmaximal, characteristic, complemented
16#13075460C211yesmaximal, characteristic, complemented
17#13075139C211yesmaximal, characteristic, complemented
18#13074427C211yesmaximal, characteristic, complemented
19#13074393C211yesmaximal, characteristic
20#13073123C211yesmaximal, characteristic, complemented
21#13073058C211yesmaximal, characteristic, complemented
22#13072889C211yesmaximal, characteristic, complemented
23#13072869C211yesmaximal, characteristic, complemented
24#13072446C211yesmaximal, characteristic, complemented
25#13072290C211yesmaximal, characteristic, complemented
26#13072076C211yesmaximal, characteristic
27#13072004C211yesmaximal, characteristic
28#13071290C211yesmaximal, characteristic, complemented
29#13071235C211yesmaximal, characteristic, complemented
30C2×#10622553C211yesmaximal, characteristic, complemented
31C11×#2852C211yesmaximal, characteristic, complemented
32C2×C11×#126C2211yescharacteristic, complemented
33C22×C42×C11C2211yescharacteristic
34C2×#66990C2211yescharacteristic
35C2×#66988C2211yescharacteristic
36C2×D4×Dic11C2211yescharacteristic
37C22×(C2×D11)⋊C4C2211yescharacteristic
38C22×(C2×D11)⋊C4C2211yescharacteristic
39C22×(C2×D11)⋊C4C2211yescharacteristic
40C22×Dic11⋊C4C2211yescharacteristic
41C2×#66951C2211yescharacteristic
42C2×#66939C2211yescharacteristic
43C2×#66931C2211yescharacteristic
44C2×#66930C2211yescharacteristic
45C2×#66930C2211yescharacteristic
46C2×#66923C2211yescharacteristic, complemented
47C11×#388C2211yescharacteristic, complemented
48C11×#388C2211yescharacteristic, complemented
49C11×#388C2211yescharacteristic, complemented
50C11×#387C2211yescharacteristic, complemented
51C11×#387C2211yescharacteristic, complemented
52C11×#387C2211yescharacteristic, complemented
53C11×#386C2211yescharacteristic
54C11×#386C2211yescharacteristic
55C11×#386C2211yescharacteristic
56C11×#385C2211yescharacteristic
57C11×#385C2211yescharacteristic
58C11×#385C2211yescharacteristic
59C11×#383C2211yescharacteristic, complemented
60#10622833C2211yescharacteristic
61#10622825C2211yescharacteristic
62#10622825C2211yescharacteristic
63#10622823C2211yescharacteristic
64#10622823C2211yescharacteristic
65#10622823C2211yescharacteristic
66#10622823C2211yescharacteristic
67C2×C11⋊#95C2211yescharacteristic
68C2×C11⋊#95C2211yescharacteristic
69#10622607C2211yescharacteristic
70#10622607C2211yescharacteristic
71#10622607C2211yescharacteristic
72#10622606C2211yescharacteristic
73#10622605C2211yescharacteristic
74#10622605C2211yescharacteristic
75#10622605C2211yescharacteristic
76#10622605C2211yescharacteristic
77#10622603C2211yescharacteristic
78#10622603C2211yescharacteristic
79#10622603C2211yescharacteristic
80#10622599C2211yescharacteristic, complemented
81#10622598C2211yescharacteristic, complemented
82#10622597C2211yescharacteristic, complemented
83#10622596C2211yescharacteristic, complemented
84#10622596C2211yescharacteristic, complemented
85#10622590C2211yescharacteristic, complemented
86#10622589C2211yescharacteristic, complemented
87#10622589C2211yescharacteristic, complemented
88#10622587C2211yescharacteristic, complemented
89#10622586C2211yescharacteristic, complemented
90#10622585C2211yescharacteristic, complemented
91#10622585C2211yescharacteristic, complemented
92#10622574C2211yescharacteristic
93#10622574C2211yescharacteristic
94#10622574C2211yescharacteristic
95#10622574C2211yescharacteristic
96#10622572C2211yescharacteristic
97#10622572C2211yescharacteristic
98#10622572C2211yescharacteristic
99#10622572C2211yescharacteristic
100#10622571C2211yescharacteristic
101#10622570C2211yescharacteristic
102#10622570C2211yescharacteristic
103#10622568C2211yescharacteristic
104#10622568C2211yescharacteristic
105#10622568C2211yescharacteristic
106#10622565C2211yescharacteristic, complemented
107#10622564C2211yescharacteristic, complemented
108#10622563C2211yescharacteristic
109#10622563C2211yescharacteristic
110#10622562C2211yescharacteristic, complemented
111#10622561C2211yescharacteristic, complemented
112#10622560C2211yescharacteristic, complemented
113#10622559C2211yescharacteristic
114#10622559C2211yescharacteristic, complemented
115#10622559C2211yescharacteristic, complemented
116#10622559C2211yescharacteristic, complemented
117#10622558C2211yescharacteristic, complemented
118#10622557C2211yescharacteristic, complemented
119#10622557C2211yescharacteristic, complemented
120#10622556C2211yescharacteristic
121#10622555C2211yescharacteristic
122#10622555C2211yescharacteristic, complemented
123C22⋊C4×Dic11C2211yescharacteristic
124#10622553C2211yescharacteristic
125#10622553C2211yescharacteristic
126#10622553C2211yescharacteristic
127#10622553C2211yescharacteristic
128#10622553C2211yescharacteristic
129#10622553C2211yescharacteristic
130#10622553C2211yescharacteristic
131#10622553C2211yescharacteristic
132#10622549C2211yescharacteristic, complemented
133#10622546C2211yescharacteristic, complemented
134#10622546C2211yescharacteristic, complemented
135#10622546C2211yescharacteristic, complemented
136#10622546C2211yescharacteristic, complemented
137#10622541C2211yescharacteristic, complemented
138#10622541C2211yescharacteristic, complemented
139#10622290C2211yescharacteristic
140#10622289C2211yescharacteristic
141#10622289C2211yescharacteristic
142#10622289C2211yescharacteristic
143#10622289C2211yescharacteristic
144#10622288C2211yescharacteristic
145#10622288C2211yescharacteristic
146#10622288C2211yescharacteristic
147#10622288C2211yescharacteristic
148#10622288C2211yescharacteristic
149#10622287C2211yescharacteristic
150#10622287C2211yescharacteristic
151#10622287C2211yescharacteristic
152#10622287C2211yescharacteristic
153#10622286C2211yescharacteristic
154#10622286C2211yescharacteristic
155#10622283C2211yescharacteristic
156#10622283C2211yescharacteristic
157#10622283C2211yescharacteristic
158#10622282C2211yescharacteristic
159#10622282C2211yescharacteristic
160#10622282C2211yescharacteristic
161#10622282C2211yescharacteristic
162#10622282C2211yescharacteristic
163#10622273C2211yescharacteristic, complemented
164#10622273C2211yescharacteristic, complemented
165#10622273C2211yescharacteristic, complemented
166#10622272C2211yescharacteristic, complemented
167#10622271C2211yescharacteristic, complemented
168#10622270C2211yescharacteristic, complemented
169#10622270C2211yescharacteristic, complemented
170#10622269C2211yescharacteristic, complemented
171#10622268C2211yescharacteristic, complemented
172#10622268C2211yescharacteristic, complemented
173#10622267C2211yescharacteristic, complemented
174#10622267C2211yescharacteristic, complemented
175#10622266C2211yescharacteristic, complemented
176#10622266C2211yescharacteristic, complemented
177#10622265C2211yescharacteristic, complemented
178#10622265C2211yescharacteristic, complemented
179#10622265C2211yescharacteristic, complemented
180#10622263C2211yescharacteristic, complemented
181#10622263C2211yescharacteristic, complemented
182#10622260C2211yescharacteristic, complemented
183#10622260C2211yescharacteristic, complemented
184#10622260C2211yescharacteristic, complemented
185#10622260C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187C24×D11C2311yescharacteristic
188C22×D4×C11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C22×C22⋊D11C2311yescharacteristic
193C22×C22⋊D11C2311yescharacteristic
194C23×Dic11C2311yescharacteristic
195C23×Dic11C2311yescharacteristic
196C23×Dic11C2311yescharacteristic
197C23×Dic11C2311yescharacteristic
198C22×Dic22C2311yescharacteristic
199C11×#126—42no—
200C2×C11×C4⋊C4C2311yescharacteristic
201C2×C11×C4⋊C4C2311yescharacteristic
202C2×C11×C4⋊C4C2311yescharacteristic
203C2×C11×C4⋊C4C2311yescharacteristic
204C2×C11×C4⋊C4C2311yescharacteristic
205C2×C11×C4⋊C4C2311yescharacteristic
206C2×C11×C22⋊C4C2311yescharacteristic
207C2×C11×C22⋊C4C2311yescharacteristic
208C2×C11×C22⋊C4C2311yescharacteristic
209C2×C11×C22⋊C4C2311yescharacteristic
210C2×C11×C22⋊C4C2311yescharacteristic
211C2×C11×C22⋊C4C2311yescharacteristic
212C2×C11×C22⋊C4C2311yescharacteristic
213C2×C11×C22⋊C4C2311yescharacteristic
214C2×C11×C22⋊C4C2311yescharacteristic
215C2×C42×C11—42no—
216C2×C42×C11C2311yescharacteristic
217C2×C42×C11C2311yescharacteristic
218C2×C42×C11C2311yescharacteristic
219C2×C42×C11C2311yescharacteristic
220C2×C22⋊Dic11C2311yescharacteristic
221C2×C22⋊Dic11C2311yescharacteristic
222C2×C22⋊Dic11C2311yescharacteristic
223C2×C22⋊Dic11C2311yescharacteristic
224C2×C22⋊Dic11C2311yescharacteristic
225C2×C22⋊Dic11C2311yescharacteristic
226C2×C22⋊Dic11C2311yescharacteristic
227C2×C22⋊Dic11C2311yescharacteristic
228C2×C22⋊Dic11C2311yescharacteristic
229#66990—42no—
230#66988—24no—
231D4×Dic11—42no—
232C2×(C2×D11)⋊C4—24no—
233C2×(C2×D11)⋊C4—42no—
234C2×(C2×D11)⋊C4—42no—
235C2×(C2×D11)⋊C4C2311yescharacteristic
236C2×(C2×D11)⋊C4C2311yescharacteristic
237C2×(C2×D11)⋊C4C2311yescharacteristic
238C2×(C2×D11)⋊C4C2311yescharacteristic
239C2×(C2×D11)⋊C4C2311yescharacteristic
240C2×(C2×D11)⋊C4C2311yescharacteristic
241C2×(C2×D11)⋊C4C2311yescharacteristic
242C2×(C2×D11)⋊C4C2311yescharacteristic
243C2×(C2×D11)⋊C4C2311yescharacteristic
244C2×(C2×D11)⋊C4C2311yescharacteristic
245C2×(C2×D11)⋊C4C2311yescharacteristic
246C2×(C2×D11)⋊C4C2311yescharacteristic
247C2×(C2×D11)⋊C4C2311yescharacteristic
248C2×(C2×D11)⋊C4C2311yescharacteristic
249C2×(C2×D11)⋊C4C2311yescharacteristic
250C2×(C2×D11)⋊C4C2311yescharacteristic
251C2×(C2×D11)⋊C4C2311yescharacteristic
252C2×(C2×D11)⋊C4C2311yescharacteristic
253C2×(C2×D11)⋊C4C2311yescharacteristic
254C2×(C2×D11)⋊C4C2311yescharacteristic
255C2×(C2×D11)⋊C4C2311yescharacteristic
256C2×(C2×D11)⋊C4C2311yescharacteristic
257C2×(C2×D11)⋊C4C2311yescharacteristic
258C2×(C2×D11)⋊C4C2311yescharacteristic
259C2×(C2×D11)⋊C4C2311yescharacteristic
260C2×(C2×D11)⋊C4C2311yescharacteristic
261C2×C4⋊Dic11C2311yescharacteristic
262C2×C4⋊Dic11C2311yescharacteristic
263C2×C4⋊Dic11C2311yescharacteristic
264C2×C4⋊Dic11C2311yescharacteristic
265C2×C4⋊Dic11C2311yescharacteristic
266C2×C4⋊Dic11C2311yescharacteristic
267C2×C4⋊Dic11C2311yescharacteristic
268C2×C4⋊Dic11C2311yescharacteristic
269C2×C4⋊Dic11C2311yescharacteristic
270C2×C4⋊Dic11C2311yescharacteristic
271C2×Dic11⋊C4—42no—
272C2×Dic11⋊C4C2311yescharacteristic
273C2×Dic11⋊C4C2311yescharacteristic
274C2×Dic11⋊C4C2311yescharacteristic
275C2×Dic11⋊C4C2311yescharacteristic
276C2×Dic11⋊C4C2311yescharacteristic
277C2×Dic11⋊C4C2311yescharacteristic
278C2×Dic11⋊C4C2311yescharacteristic
279C2×Dic11⋊C4C2311yescharacteristic
280C2×Dic11⋊C4C2311yescharacteristic
281C2×Dic11⋊C4C2311yescharacteristic
282C2×Dic11⋊C4C2311yescharacteristic
283C2×Dic11⋊C4C2311yescharacteristic
284C2×Dic11⋊C4C2311yescharacteristic
285C2×Dic11⋊C4C2311yescharacteristic
286C2×Dic11⋊C4C2311yescharacteristic
287C2×Dic11⋊C4C2311yescharacteristic
288C2×Dic11⋊C4C2311yescharacteristic
289C2×Dic11⋊C4C2311yescharacteristic
290C2×Dic11⋊C4C2311yescharacteristic
291C2×Dic11⋊C4C2311yescharacteristic
292C2×Dic11⋊C4C2311yescharacteristic
293C2×Dic11⋊C4C2311yescharacteristic
294C2×Dic11⋊C4C2311yescharacteristic
295C2×Dic11⋊C4C2311yescharacteristic
296C2×C4×Dic11C2311yescharacteristic
297C2×C4×Dic11C2311yescharacteristic
298C2×C4×Dic11C2311yescharacteristic
299C2×C4×Dic11C2311yescharacteristic
300C2×C4×Dic11C2311yescharacteristic
301C2×C4×Dic11C2311yescharacteristic
302C2×C4×Dic11C2311yescharacteristic
303#66951—42no—
304#66939—42no—
305#66931—42no—
306#66930—24no—
307#66930—42no—
308#66923—42no—
309C11×#95C2311yescharacteristic
310C11×#95C2311yescharacteristic
311C11×#95C2311yescharacteristic
312C11×#95C2311yescharacteristic
313C11×#95C2311yescharacteristic
314C11×#95C2311yescharacteristic
315C11×#95C2311yescharacteristic
316C11×#95C2311yescharacteristic
317C11×#95C2311yescharacteristic
318C11×#95C2311yescharacteristic
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
357#36796—111nomaximal, Sylow
358C24×C11C2411yescharacteristic
359C24×C11C2411yescharacteristic
360C23×D11—22no—
361C23×D11—22no—
362C23×D11—22no—
363C23×D11—41no—
364C23×D11—41no—
365C23×D11—41no—
366C23×D11—41no—
367C23×D11C2411yescharacteristic
368C23×D11C2411yescharacteristic
369C2×D4×C11—22no—
370C2×D4×C11—22no—
371C2×D4×C11—22no—
372C22×C4×C11—22no—
373C22×C4×C11—22no—
374C22×C4×C11—22no—
375C22×C4×C11—22no—
376C22×C4×C11—41no—
377C22×C4×C11—41no—
378C22×C4×C11—41no—
379C22×C4×C11—41no—
380C22×C4×C11—41no—
381C22×C4×C11C2411yescharacteristic
382C22×C4×C11C2411yescharacteristic
383C22×C4×C11C2411yescharacteristic
384C22×C4×C11C2411yescharacteristic
385C22×C4×C11C2411yescharacteristic
386C22×C4×C11C2411yescharacteristic
387C22×C4×C11C2411yescharacteristic
388C22×C4×C11C2411yescharacteristic
389C22×C4×C11C2411yescharacteristic
390C22×C4×C11C2411yescharacteristic
391C22×C4×C11C2411yescharacteristic
392C22×C4×C11C2411yescharacteristic
393C22×C4×C11C2411yescharacteristic
394C2×C22⋊D11—41no—
395C2×C22⋊D11—41no—
396C2×C22⋊D11—41no—
397C2×C22⋊D11—41no—
398C2×C22⋊D11—41no—
399C2×C22⋊D11—41no—
400C22×Dic11—22no—
401C22×Dic11—22no—
402C22×Dic11—22no—
403C22×Dic11—22no—
404C22×Dic11—41no—
405C22×Dic11—41no—
406C22×Dic11—41no—
407C22×Dic11—41no—
408C22×Dic11—41no—
409C22×Dic11—41no—
410C22×Dic11—41no—
411C22×Dic11#4114yes—
412C22×Dic11C2411yescharacteristic
413C22×Dic11C2411yescharacteristic
414C22×Dic11C2411yescharacteristic
415C22×Dic11C2411yescharacteristic
416C22×Dic11C2411yescharacteristic
417C22×Dic11C2411yescharacteristic
418C22×Dic11C2411yescharacteristic
419C22×Dic11C2411yescharacteristic
420C22×Dic11C2411yescharacteristic
421C22×Dic11C2411yescharacteristic
422C22×Dic11C2411yescharacteristic
423C22×Dic11C2411yescharacteristic
424C22×Dic11C2411yescharacteristic
425C22×Dic11C2411yescharacteristic
426C2×Dic22—41no—
427C2×Dic22—41no—
428C2×Dic22—41no—
429C11×C4⋊C4—22no—
430C11×C4⋊C4—41no—
431C11×C4⋊C4—41no—
432C11×C4⋊C4—41no—
433C11×C4⋊C4—41no—
434C11×C4⋊C4—41no—
435C11×C22⋊C4—22no—
436C11×C22⋊C4—22no—
437C11×C22⋊C4—22no—
438C11×C22⋊C4—22no—
439C11×C22⋊C4—41no—
440C11×C22⋊C4—41no—
441C11×C22⋊C4—41no—
442C11×C22⋊C4—41no—
443C11×C22⋊C4—41no—
444C42×C11—22no—
445C42×C11—22no—
446C42×C11—41no—
447C42×C11—41no—
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—
457(C2×D11)⋊C4—22no—
458(C2×D11)⋊C4—22no—
459(C2×D11)⋊C4—22no—
460(C2×D11)⋊C4—22no—
461(C2×D11)⋊C4—22no—
462(C2×D11)⋊C4—22no—
463(C2×D11)⋊C4—41no—
464(C2×D11)⋊C4—41no—
465(C2×D11)⋊C4—41no—
466(C2×D11)⋊C4—41no—
467(C2×D11)⋊C4—41no—
468(C2×D11)⋊C4—41no—
469(C2×D11)⋊C4—41no—
470(C2×D11)⋊C4—41no—
471(C2×D11)⋊C4—41no—
472(C2×D11)⋊C4—41no—
473(C2×D11)⋊C4—41no—
474(C2×D11)⋊C4—41no—
475(C2×D11)⋊C4—41no—
476(C2×D11)⋊C4—41no—
477(C2×D11)⋊C4—41no—
478(C2×D11)⋊C4—41no—
479(C2×D11)⋊C4—41no—
480(C2×D11)⋊C4—41no—
481(C2×D11)⋊C4—41no—
482(C2×D11)⋊C4—41no—
483C4⋊Dic11—22no—
484C4⋊Dic11—22no—
485C4⋊Dic11—41no—
486C4⋊Dic11—41no—
487C4⋊Dic11—41no—
488C4⋊Dic11—41no—
489C4⋊Dic11—41no—
490C4⋊Dic11—41no—
491C4⋊Dic11—41no—
492C4⋊Dic11—41no—
493Dic11⋊C4—22no—
494Dic11⋊C4—22no—
495Dic11⋊C4—22no—
496Dic11⋊C4—22no—
497Dic11⋊C4—41no—
498Dic11⋊C4—41no—
499Dic11⋊C4—41no—
500Dic11⋊C4—41no—
501Dic11⋊C4—41no—
502Dic11⋊C4—41no—
503Dic11⋊C4—41no—
504Dic11⋊C4—41no—
505Dic11⋊C4—41no—
506Dic11⋊C4—41no—
507Dic11⋊C4—41no—
508Dic11⋊C4—41no—
509Dic11⋊C4—41no—
510Dic11⋊C4—41no—
511Dic11⋊C4—41no—
512Dic11⋊C4—41no—
513Dic11⋊C4—41no—
514Dic11⋊C4—41no—
515Dic11⋊C4—41no—
516Dic11⋊C4—41no—
517C4×Dic11—22no—
518C4×Dic11—22no—
519C4×Dic11—41no—
520C4×Dic11—41no—
521C4×Dic11—41no—
522C4×Dic11—41no—
523C4×Dic11—41no—
524#2852D1111yescharacteristic, complemented
525#2851—111no—
526#2808—111no—
527#2798—111no—
528#2796—111no—
529#2795—111no—
530#2793—111no—
531#2785—111no—
532#2783—111no—
533#2783—111no—
534#2781—111no—
535#2777—111no—
536#2775—111no—
537#2773—111no—
538#2727—111no—
539#2721—111no—
540#2718—111no—
541#2694—111no—
542#2626—111no—
543#2622—111no—
544#2505—111no—
545#2498—111no—
546#2482—111no—
547#2480—111no—
548#2450—111no—
549#2438—111no—
550#2418—111no—
551#2411—111no—
552#2322—111no—
553#2317—111no—
554C2×#388—111no—
555C23×C11—21no—
556C23×C11—21no—
557C23×C11—21no—
558C23×C11—21no—
559C23×C11—21no—
560C23×C11—21no—
561C23×C11—21no—
562C23×C11—21no—
563C23×C11—21no—
564C23×C11—21no—
565C23×C11—21no—
566C23×C11C2×#4112yes—
567C23×C11H(5,𝔽2)12yes—
568C23×C112−1+412yes—
569C23×C11C2511yescharacteristic
570C22×D11—21no—
571C22×D11—21no—
572C22×D11—21no—
573C22×D11—21no—
574C22×D11—21no—
575C22×D11—21no—
576C22×D11—21no—
577C22×D11—21no—
578C22×D11—21no—
579C22×D11—21no—
580C22×D11—21no—
581C22×D11—21no—
582C22×D11—21no—
583C22×D11—21no—
584C22×D11—44no—
585C22×D11—44no—
586C22×D11—44no—
587C22×D11—82no—
588C22×D11—82no—
589C22×D11—82no—
590C22×D11—82no—
591D4×C11—44no—
592C2×C4×C11—21no—
593C2×C4×C11—21no—
594C2×C4×C11—21no—
595C2×C4×C11—21no—
596C2×C4×C11—21no—
597C2×C4×C11—21no—
598C2×C4×C11—21no—
599C2×C4×C11—21no—
600C2×C4×C11—21no—
601C2×C4×C11—21no—
602C2×C4×C11—21no—
603C2×C4×C11—21no—
604C2×C4×C11—21no—
605C2×C4×C11—21no—
606C2×C4×C11—21no—
607C2×C4×C11—21no—
608C2×C4×C11—21no—
609C2×C4×C11—21no—
610C2×C4×C11—21no—
611C2×C4×C11—21no—
612C2×C4×C11—21no—
613C2×C4×C11—21no—
614C2×C4×C11—21no—
615C2×C4×C11—21no—
616C2×C4×C11—21no—
617C2×C4×C11—21no—
618C2×C4×C11—21no—
619C2×C4×C11—21no—
620C2×C4×C11—21no—
621C2×C4×C11—21no—
622C2×C4×C11—21no—
623C2×C4×C11—21no—
624C2×C4×C11—21no—
625C2×C4×C11—21no—
626C2×C4×C11—21no—
627C2×C4×C11—21no—
628C2×C4×C11—21no—
629C2×C4×C11—21no—
630C2×C4×C11—44no—
631C2×C4×C11—44no—
632C2×C4×C11—44no—
633C2×C4×C11H(5,𝔽2)12yes—
634C22⋊D11—82no—
635C22⋊D11—82no—
636C2×Dic11—28no—
637C2×Dic11—21no—
638C2×Dic11—21no—
639C2×Dic11—21no—
640C2×Dic11—21no—
641C2×Dic11—21no—
642C2×Dic11—21no—
643C2×Dic11—21no—
644C2×Dic11—21no—
645C2×Dic11—21no—
646C2×Dic11—21no—
647C2×Dic11—21no—
648C2×Dic11—21no—
649C2×Dic11—21no—
650C2×Dic11—21no—
651C2×Dic11—21no—
652C2×Dic11—21no—
653C2×Dic11—21no—
654C2×Dic11—21no—
655C2×Dic11—21no—
656C2×Dic11—21no—
657C2×Dic11—21no—
658C2×Dic11—21no—
659C2×Dic11—21no—
660C2×Dic11—21no—
661C2×Dic11—21no—
662C2×Dic11—21no—
663C2×Dic11—21no—
664C2×Dic11—21no—
665C2×Dic11—21no—
666C2×Dic11—21no—
667C2×Dic11—21no—
668C2×Dic11—21no—
669C2×Dic11—21no—
670C2×Dic11—21no—
671C2×Dic11—21no—
672C2×Dic11—21no—
673C2×Dic11—21no—
674C2×Dic11—21no—
675C2×Dic11—21no—
676C2×Dic11—21no—
677C2×Dic11—82no—
678C2×Dic11—82no—
679C2×Dic11—82no—
680C2×Dic11C2×#4112yes—
681C2×Dic11C2×#4112yes—
682Dic22—82no—
683C2×#126—111no—
684C2×#126C2×D1111yescharacteristic, complemented
685C2×#125—111no—
686C2×#123—111no—
687C2×#123—111no—
688C2×C22⋊Q8—111no—
689C2×#120—111no—
690C2×C4×D4—111no—
691C2×#117—111no—
692C2×#117—111no—
693C22×C4⋊C4—111no—
694C22×C22⋊C4—111no—
695C22×C22⋊C4—111no—
696C22×C22⋊C4—111no—
697C22×C42C2×D1111yescharacteristic
698#400—111no—
699#400—111no—
700#400—111no—
701#400—111no—
702#400—111no—
703#400—111no—
704#399—111no—
705#399—111no—
706#399—111no—
707#399—111no—
708#399—111no—
709#399—111no—
710#398—111no—
711#398—111no—
712#398—111no—
713#398—111no—
714#398—111no—
715#397—111no—
716#397—111no—
717#397—111no—
718#397—111no—
719#397—111no—
720#397—111no—
721#397—111no—
722#397—111no—
723#397—111no—
724#397—111no—
725#397—111no—
726#396—111no—
727#396—111no—
728#396—111no—
729#396—111no—
730#396—111no—
731#396—111no—
732#396—111no—
733#396—111no—
734#395—111no—
735#394—111no—
736#394—111no—
737#394—111no—
738#394—111no—
739#394—111no—
740#394—111no—
741#394—111no—
742#394—111no—
743#393—111no—
744#393—111no—
745#393—111no—
746#391—111no—
747#391—111no—
748#390—111no—
749#390—111no—
750#389—111no—
751#389—111no—
752#389—111no—
753#389—111no—
754#389—111no—
755#389—111no—
756#389—111no—
757#389—111no—
758#389—111no—
759#389—111no—
760#388—111no—
761#388—111no—
762#388—111no—
763#388—111no—
764#388—111no—
765#388—111no—
766#388—111no—
767#388—111no—
768#388—111no—
769#388—111no—
770#388—111no—
771#388—111no—
772#388—111no—
773#388—111no—
774#388—111no—
775#388—111no—
776#388—111no—
777#388—111no—
778#388—111no—
779#388—111no—
780#388—111no—
781#388—111no—
782#388—111no—
783#388C2×D1111yescharacteristic, complemented
784#388C2×D1111yescharacteristic, complemented
785#388C2×D1111yescharacteristic, complemented
786#387—111no—
787#387—111no—
788#387—111no—
789#387—111no—
790#387—111no—
791#387—111no—
792#387—111no—
793#387—111no—
794#387—111no—
795#387—111no—
796#387—111no—
797#387—111no—
798#387—111no—
799#387C2×D1111yescharacteristic, complemented
800#387C2×D1111yescharacteristic, complemented
801#387C2×D1111yescharacteristic, complemented
802#386—111no—
803#386—111no—
804#386C2×D1111yescharacteristic
805#386C2×D1111yescharacteristic
806#386C2×D1111yescharacteristic
807#385—111no—
808#385—111no—
809#385—111no—
810#385—111no—
811#385—111no—
812#385—111no—
813#385—111no—
814#385—111no—
815#385—111no—
816#385—111no—
817#385C2×D1111yescharacteristic
818#385C2×D1111yescharacteristic
819#385C2×D1111yescharacteristic
820#384—111no—
821#384—111no—
822#383C2×D1111yescharacteristic, complemented
823#382—111no—
824#382—111no—
825#382—111no—
826#382—111no—
827#381—111no—
828#380—111no—
829#380—111no—
830#380—111no—
831#380—111no—
832#379—111no—
833#379—111no—
834#379—111no—
835C4×C22⋊C4—111no—
836C2×#95—111no—
837C2×#95—111no—
838C22×C11—22no—
839C22×C11—22no—
840C22×C11—22no—
841C22×C11—22no—
842C22×C11—22no—
843C22×C11—22no—
844C22×C11—41no—
845C22×C11—41no—
846C22×C11—41no—
847C22×C11—41no—
848C22×C11—41no—
849C22×C11—41no—
850C22×C11—41no—
851C22×C11#53914yes—
852C22×C11C22×#4111yescharacteristic
853C22×C11C2×H(5,𝔽2)11yescharacteristic
854C22×C11C2×H(5,𝔽2)11yescharacteristic
855C22×C11C2×2−1+411yescharacteristic
856C22×C11#58511yescharacteristic
857C22×C11#58511yescharacteristic
858C22×C11#58511yescharacteristic
859C2×D11—41no—
860C2×D11—41no—
861C2×D11—41no—
862C2×D11—41no—
863C2×D11—41no—
864C2×D11—41no—
865C2×D11—41no—
866C2×D11—41no—
867C2×D11—41no—
868C2×D11—41no—
869C2×D11—41no—
870C2×D11—41no—
871C2×D11—41no—
872C2×D11—41no—
873C2×D11—88no—
874C4×C11—22no—
875C4×C11—41no—
876C4×C11—41no—
877C4×C11—41no—
878C4×C11—41no—
879C4×C11—41no—
880C4×C11—41no—
881C4×C11—41no—
882C4×C11—41no—
883C4×C11—41no—
884C4×C11—41no—
885C4×C11—41no—
886C4×C11—41no—
887Dic11—22no—
888Dic11—22no—
889Dic11—41no—
890Dic11—41no—
891Dic11—41no—
892Dic11—41no—
893Dic11—41no—
894Dic11—41no—
895Dic11—41no—
896Dic11—41no—
897Dic11—41no—
898Dic11—41no—
899Dic11—41no—
900Dic11—41no—
901C25—111no—
902C22×Q8—111no—
903C22×D4—111no—
904C22×D4—111no—
905C22×D4C22×D1111yescharacteristic
906C23×C4—111no—
907C23×C4—111no—
908C23×C4—111no—
909C23×C4—111no—
910C23×C4C22×D1111yescharacteristic
911C23×C4C22×D1111yescharacteristic
912C23×C4C22×D1111yescharacteristic
913#126—42no—
914#126—442no—
915#125—442no—
916#123—224no—
917#123—442no—
918C22⋊Q8—442no—
919#120—442no—
920C4×D4—442no—
921#117—224no—
922#117—442no—
923C2×C4⋊C4—111no—
924C2×C4⋊C4—111no—
925C2×C4⋊C4—111no—
926C2×C4⋊C4—111no—
927C2×C4⋊C4—111no—
928C2×C4⋊C4—111no—
929C2×C4⋊C4—111no—
930C2×C4⋊C4—111no—
931C2×C4⋊C4—111no—
932C2×C4⋊C4—111no—
933C2×C4⋊C4—111no—
934C2×C4⋊C4—111no—
935C2×C4⋊C4—111no—
936C2×C4⋊C4—111no—
937C2×C4⋊C4—111no—
938C2×C4⋊C4—111no—
939C2×C4⋊C4—111no—
940C2×C4⋊C4—111no—
941C2×C4⋊C4—111no—
942C2×C4⋊C4—111no—
943C2×C4⋊C4—111no—
944C2×C4⋊C4—111no—
945C2×C4⋊C4—111no—
946C2×C4⋊C4—111no—
947C2×C4⋊C4—111no—
948C2×C4⋊C4—111no—
949C2×C4⋊C4—111no—
950C2×C4⋊C4—111no—
951C2×C4⋊C4—111no—
952C2×C4⋊C4—111no—
953C2×C4⋊C4—111no—
954C2×C4⋊C4—111no—
955C2×C4⋊C4—111no—
956C2×C4⋊C4—111no—
957C2×C4⋊C4—442no—
958C2×C4⋊C4C22×D1111yescharacteristic
959C2×C4⋊C4C22×D1111yescharacteristic
960C2×C4⋊C4C22×D1111yescharacteristic
961C2×C4⋊C4C22×D1111yescharacteristic
962C2×C4⋊C4C22×D1111yescharacteristic
963C2×C4⋊C4C22×D1111yescharacteristic
964C2×C22⋊C4—111no—
965C2×C22⋊C4—111no—
966C2×C22⋊C4—111no—
967C2×C22⋊C4—111no—
968C2×C22⋊C4—111no—
969C2×C22⋊C4—111no—
970C2×C22⋊C4—111no—
971C2×C22⋊C4—111no—
972C2×C22⋊C4—111no—
973C2×C22⋊C4—111no—
974C2×C22⋊C4—111no—
975C2×C22⋊C4—111no—
976C2×C22⋊C4—111no—
977C2×C22⋊C4—111no—
978C2×C22⋊C4—111no—
979C2×C22⋊C4—111no—
980C2×C22⋊C4—111no—
981C2×C22⋊C4—111no—
982C2×C22⋊C4—111no—
983C2×C22⋊C4—111no—
984C2×C22⋊C4—111no—
985C2×C22⋊C4—111no—
986C2×C22⋊C4—111no—
987C2×C22⋊C4—111no—
988C2×C22⋊C4—111no—
989C2×C22⋊C4—111no—
990C2×C22⋊C4—111no—
991C2×C22⋊C4—111no—
992C2×C22⋊C4—111no—
993C2×C22⋊C4—111no—
994C2×C22⋊C4—111no—
995C2×C22⋊C4—111no—
996C2×C22⋊C4—111no—
997C2×C22⋊C4—111no—
998C2×C22⋊C4—111no—
999C2×C22⋊C4—224no—
1000C2×C22⋊C4—442no—
1001C2×C22⋊C4—442no—
1002C2×C22⋊C4C22×D1111yescharacteristic
1003C2×C22⋊C4C22×D1111yescharacteristic
1004C2×C22⋊C4C22×D1111yescharacteristic
1005C2×C22⋊C4C22×D1111yescharacteristic
1006C2×C22⋊C4C22×D1111yescharacteristic
1007C2×C22⋊C4C22×D1111yescharacteristic
1008C2×C22⋊C4C22×D1111yescharacteristic
1009C2×C22⋊C4C22×D1111yescharacteristic
1010C2×C22⋊C4C22×D1111yescharacteristic
1011C2×C42—42no—
1012C2×C42—111no—
1013C2×C42—111no—
1014C2×C42—111no—
1015C2×C42—111no—
1016C2×C42—111no—
1017C2×C42—111no—
1018C2×C42—111no—
1019C2×C42C22×D1111yescharacteristic
1020C2×C42C22×D1111yescharacteristic
1021C2×C42C22×D1111yescharacteristic
1022C2×C42C22×D1111yescharacteristic
1023#95—111no—
1024#95—111no—
1025#95—111no—
1026#95—111no—
1027#95—111no—
1028#95—111no—
1029#95—111no—
1030#95—111no—
1031#95—111no—
1032#95—111no—
1033#95—111no—
1034#95—111no—
1035#95—111no—
1036#95—111no—
1037#95—111no—
1038#95—111no—
1039#95—111no—
1040#95—111no—
1041#95—111no—
1042#95—111no—
1043#95—111no—
1044#95—111no—
1045#95—111no—
1046#95—111no—
1047#95—111no—
1048#95—111no—
1049#95—111no—
1050#95—111no—
1051#95—111no—
1052#95—111no—
1053#95—111no—
1054#95—111no—
1055#95—111no—
1056#95—111no—
1057#95—111no—
1058#95—111no—
1059#95C22×D1111yescharacteristic
1060#95C22×D1111yescharacteristic
1061#95C22×D1111yescharacteristic
1062#95C22×D1111yescharacteristic
1063#95C22×D1111yescharacteristic
1064#95C22×D1111yescharacteristic
1065#95C22×D1111yescharacteristic
1066#95C22×D1111yescharacteristic
1067#95C22×D1111yescharacteristic
1068#95C22×D1111yescharacteristic
1069#95C22×D1111yescharacteristic
1070#95C22×D1111yescharacteristic
1071C2×C11—24no—
1072C2×C11—81no—
1073C2×C11C2×#53911yescharacteristic
1074C2×C11#349311yescharacteristic
1075C2×C11#350611yescharacteristic
1076C2×C11#353511yescharacteristic
1077C2×C11#354211yescharacteristic
1078C2×C11#354511yescharacteristic
1079C2×C11#356411yescharacteristic
1080D11—81no—
1081D11—81no—
1082C24—111no—
1083C24—111no—
1084C24—222no—
1085C24—222no—
1086C24—222no—
1087C24—441no—
1088C24—441no—
1089C24—441no—
1090C24—441no—
1091C24C23×D1111yescharacteristic
1092C24C23×D1111yescharacteristic
1093C2×Q8—441no—
1094C2×Q8—441no—
1095C2×Q8—441no—
1096C2×D4—22no—
1097C2×D4—22no—
1098C2×D4—22no—
1099C2×D4—441no—
1100C2×D4—441no—
1101C2×D4—441no—
1102C2×D4—441no—
1103C2×D4—441no—
1104C2×D4—441no—
1105C22×C4—22no—
1106C22×C4—22no—
1107C22×C4—22no—
1108C22×C4—22no—
1109C22×C4—41no—
1110C22×C4—41no—
1111C22×C4—41no—
1112C22×C4—41no—
1113C22×C4—41no—
1114C22×C4—114no—
1115C22×C4—111no—
1116C22×C4—111no—
1117C22×C4—111no—
1118C22×C4—111no—
1119C22×C4—111no—
1120C22×C4—111no—
1121C22×C4—111no—
1122C22×C4—111no—
1123C22×C4—111no—
1124C22×C4—111no—
1125C22×C4—111no—
1126C22×C4—111no—
1127C22×C4—111no—
1128C22×C4—111no—
1129C22×C4—222no—
1130C22×C4—222no—
1131C22×C4—222no—
1132C22×C4—222no—
1133C22×C4—441no—
1134C22×C4—441no—
1135C22×C4—441no—
1136C22×C4—441no—
1137C22×C4—441no—
1138C22×C4—441no—
1139C22×C4—441no—
1140C22×C4C23×D1111yescharacteristic
1141C22×C4C23×D1111yescharacteristic
1142C22×C4C23×D1111yescharacteristic
1143C22×C4C23×D1111yescharacteristic
1144C22×C4C23×D1111yescharacteristic
1145C22×C4C23×D1111yescharacteristic
1146C22×C4C23×D1111yescharacteristic
1147C22×C4C23×D1111yescharacteristic
1148C22×C4C23×D1111yescharacteristic
1149C22×C4C23×D1111yescharacteristic
1150C22×C4C23×D1111yescharacteristic
1151C22×C4C23×D1111yescharacteristic
1152C22×C4C23×D1111yescharacteristic
1153C4⋊C4—22no—
1154C4⋊C4—41no—
1155C4⋊C4—41no—
1156C4⋊C4—41no—
1157C4⋊C4—41no—
1158C4⋊C4—41no—
1159C4⋊C4—222no—
1160C4⋊C4—222no—
1161C4⋊C4—222no—
1162C4⋊C4—222no—
1163C4⋊C4—222no—
1164C4⋊C4—222no—
1165C4⋊C4—441no—
1166C4⋊C4—441no—
1167C4⋊C4—441no—
1168C4⋊C4—441no—
1169C4⋊C4—441no—
1170C4⋊C4—441no—
1171C4⋊C4—441no—
1172C4⋊C4—441no—
1173C4⋊C4—441no—
1174C4⋊C4—441no—
1175C4⋊C4—441no—
1176C4⋊C4—441no—
1177C4⋊C4—441no—
1178C4⋊C4—441no—
1179C4⋊C4—441no—
1180C4⋊C4—441no—
1181C4⋊C4—441no—
1182C4⋊C4—441no—
1183C4⋊C4—441no—
1184C4⋊C4—441no—
1185C4⋊C4—441no—
1186C4⋊C4—441no—
1187C4⋊C4—441no—
1188C4⋊C4—441no—
1189C4⋊C4—441no—
1190C4⋊C4—441no—
1191C4⋊C4—441no—
1192C4⋊C4—441no—
1193C22⋊C4—22no—
1194C22⋊C4—22no—
1195C22⋊C4—22no—
1196C22⋊C4—22no—
1197C22⋊C4—41no—
1198C22⋊C4—41no—
1199C22⋊C4—41no—
1200C22⋊C4—41no—
1201C22⋊C4—41no—
1202C22⋊C4—222no—
1203C22⋊C4—222no—
1204C22⋊C4—222no—
1205C22⋊C4—222no—
1206C22⋊C4—222no—
1207C22⋊C4—222no—
1208C22⋊C4—222no—
1209C22⋊C4—222no—
1210C22⋊C4—222no—
1211C22⋊C4—222no—
1212C22⋊C4—222no—
1213C22⋊C4—222no—
1214C22⋊C4—441no—
1215C22⋊C4—441no—
1216C22⋊C4—441no—
1217C22⋊C4—441no—
1218C22⋊C4—441no—
1219C22⋊C4—441no—
1220C22⋊C4—441no—
1221C22⋊C4—441no—
1222C22⋊C4—441no—
1223C22⋊C4—441no—
1224C22⋊C4—441no—
1225C22⋊C4—441no—
1226C22⋊C4—441no—
1227C22⋊C4—441no—
1228C22⋊C4—441no—
1229C22⋊C4—441no—
1230C22⋊C4—441no—
1231C22⋊C4—441no—
1232C22⋊C4—441no—
1233C22⋊C4—441no—
1234C22⋊C4—441no—
1235C22⋊C4—441no—
1236C22⋊C4—441no—
1237C42—22no—
1238C42—22no—
1239C42—41no—
1240C42—41no—
1241C42—222no—
1242C42—222no—
1243C42—441no—
1244C42—441no—
1245C42—441no—
1246C42—441no—
1247C42—441no—
1248C11#3679611yescharacteristic, complemented, Sylow
1249C23—21no—
1250C23—21no—
1251C23—21no—
1252C23—21no—
1253C23—21no—
1254C23—21no—
1255C23—21no—
1256C23—21no—
1257C23—21no—
1258C23—21no—
1259C23—21no—
1260C23—221no—
1261C23—221no—
1262C23—221no—
1263C23—221no—
1264C23—221no—
1265C23—221no—
1266C23—221no—
1267C23—221no—
1268C23—221no—
1269C23—221no—
1270C23—221no—
1271C23—221no—
1272C23—221no—
1273C23—221no—
1274C23—444no—
1275C23—444no—
1276C23—444no—
1277C23—882no—
1278C23—882no—
1279C23—882no—
1280C23—882no—
1281C23#41×D1112yes—
1282C23#6704212yes—
1283C23#6704312yes—
1284C23C24×D1111yescharacteristic
1285Q8—882no—
1286D4—44no—
1287D4—882no—
1288D4—882no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—44no—
1328C2×C4—44no—
1329C2×C4—44no—
1330C2×C4—112no—
1331C2×C4—112no—
1332C2×C4—228no—
1333C2×C4—221no—
1334C2×C4—221no—
1335C2×C4—221no—
1336C2×C4—221no—
1337C2×C4—221no—
1338C2×C4—221no—
1339C2×C4—221no—
1340C2×C4—221no—
1341C2×C4—221no—
1342C2×C4—221no—
1343C2×C4—221no—
1344C2×C4—221no—
1345C2×C4—221no—
1346C2×C4—221no—
1347C2×C4—221no—
1348C2×C4—221no—
1349C2×C4—221no—
1350C2×C4—221no—
1351C2×C4—221no—
1352C2×C4—221no—
1353C2×C4—221no—
1354C2×C4—221no—
1355C2×C4—221no—
1356C2×C4—221no—
1357C2×C4—221no—
1358C2×C4—221no—
1359C2×C4—221no—
1360C2×C4—221no—
1361C2×C4—221no—
1362C2×C4—221no—
1363C2×C4—221no—
1364C2×C4—221no—
1365C2×C4—221no—
1366C2×C4—221no—
1367C2×C4—221no—
1368C2×C4—221no—
1369C2×C4—221no—
1370C2×C4—221no—
1371C2×C4—221no—
1372C2×C4—221no—
1373C2×C4—882no—
1374C2×C4—882no—
1375C2×C4—882no—
1376C2×C4#6703712yes—
1377C22—22no—
1378C22—22no—
1379C22—22no—
1380C22—22no—
1381C22—22no—
1382C22—22no—
1383C22—41no—
1384C22—41no—
1385C22—41no—
1386C22—41no—
1387C22—41no—
1388C22—41no—
1389C22—41no—
1390C22—441no—
1391C22—441no—
1392C22—441no—
1393C22—441no—
1394C22—441no—
1395C22—441no—
1396C22—441no—
1397C22—441no—
1398C22—441no—
1399C22—441no—
1400C22—441no—
1401C22—441no—
1402C22—441no—
1403C22—441no—
1404C22—888no—
1405C22#1062323814yes—
1406C22C2×#6703711yescharacteristic
1407C22C2×#41×D1111yescharacteristic
1408C22C2×#6704211yescharacteristic
1409C22C2×#6704311yescharacteristic
1410C22#1062345311yescharacteristic
1411C22#1062345311yescharacteristic
1412C22#1062345311yescharacteristic
1413C4—22no—
1414C4—41no—
1415C4—41no—
1416C4—41no—
1417C4—41no—
1418C4—41no—
1419C4—41no—
1420C4—41no—
1421C4—41no—
1422C4—41no—
1423C4—41no—
1424C4—41no—
1425C4—41no—
1426C4—222no—
1427C4—222no—
1428C4—441no—
1429C4—441no—
1430C4—441no—
1431C4—441no—
1432C4—441no—
1433C4—441no—
1434C4—441no—
1435C4—441no—
1436C4—441no—
1437C4—441no—
1438C4—441no—
1439C4—441no—
1440C2—24no—
1441C2—81no—
1442C2—881no—
1443C2—881no—
1444C2C2×#1062323811yescharacteristic
1445C2#1308232811yescharacteristic
1446C2#1308245911yescharacteristic
1447C2#1308281911yescharacteristic
1448C2#1308293211yescharacteristic
1449C2#1308296811yescharacteristic
1450C2#1308323411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2852C2
prime radicalC2×#66990C22
hypercenter#2852D11
hypocenterC11#36796
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2852

Complements

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

NH ≅ G/Ntype
1. #13076926C2semidirect
2. #13076594C2semidirect
3. #13076486C2semidirect
4. #13076456C2semidirect
5. #13076446C2semidirect
6. #13076426C2semidirect
7. #13076321C2semidirect
8. #13076303C2semidirect
9. #13076300C2semidirect
10. #13076274C2semidirect
11. #13076215C2semidirect
12. #13076185C2semidirect
13. #13076160C2semidirect
14. #13075574C2semidirect
15. #13075512C2semidirect
16. #13075460C2semidirect
17. #13075139C2semidirect
18. #13074427C2semidirect
20. #13073123C2semidirect
21. #13073058C2semidirect
22. #13072889C2semidirect
23. #13072869C2semidirect
24. #13072446C2semidirect
25. #13072290C2semidirect
28. #13071290C2semidirect
29. #13071235C2semidirect
30. C2×#10622553C2semidirect
31. C11×#2852C2semidirect
32. C2×C11×#126C22semidirect
46. C2×#66923C22semidirect
47. C11×#388C22semidirect
48. C11×#388C22semidirect
49. C11×#388C22semidirect
50. C11×#387C22semidirect
51. C11×#387C22semidirect
52. C11×#387C22semidirect
59. C11×#383C22semidirect
80. #10622599C22semidirect
81. #10622598C22semidirect
82. #10622597C22semidirect
83. #10622596C22semidirect
84. #10622596C22semidirect
85. #10622590C22semidirect
86. #10622589C22semidirect
87. #10622589C22semidirect
88. #10622587C22semidirect
89. #10622586C22semidirect
90. #10622585C22semidirect
91. #10622585C22semidirect
106. #10622565C22semidirect
107. #10622564C22semidirect
110. #10622562C22semidirect
111. #10622561C22semidirect
112. #10622560C22semidirect
114. #10622559C22semidirect
115. #10622559C22semidirect
116. #10622559C22semidirect
117. #10622558C22semidirect
118. #10622557C22semidirect
119. #10622557C22semidirect
122. #10622555C22semidirect
132. #10622549C22semidirect
133. #10622546C22semidirect
134. #10622546C22semidirect
135. #10622546C22semidirect
136. #10622546C22semidirect
137. #10622541C22semidirect
138. #10622541C22semidirect
163. #10622273C22semidirect
164. #10622273C22semidirect
165. #10622273C22semidirect
166. #10622272C22semidirect
167. #10622271C22semidirect
168. #10622270C22semidirect
169. #10622270C22semidirect
170. #10622269C22semidirect
171. #10622268C22semidirect
172. #10622268C22semidirect
173. #10622267C22semidirect
174. #10622267C22semidirect
175. #10622266C22semidirect
176. #10622266C22semidirect
177. #10622265C22semidirect
178. #10622265C22semidirect
179. #10622265C22semidirect
180. #10622263C22semidirect
181. #10622263C22semidirect
182. #10622260C22semidirect
183. #10622260C22semidirect
184. #10622260C22semidirect
185. #10622260C22semidirect
186. #10622259C22semidirect
524. #2852D11semidirect
684. C2×#126C2×D11semidirect
783. #388C2×D11semidirect
784. #388C2×D11semidirect
785. #388C2×D11semidirect
799. #387C2×D11semidirect
800. #387C2×D11semidirect
801. #387C2×D11semidirect
822. #383C2×D11semidirect
1248. C11#36796semidirect

Maximal subgroups

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

subgroupindex
#130769262
#130765942
#130764862
#130764562
#130764462
#130764262
#130763212
#130763032
#130763002
#130762742
#130762152
#130761852
#130761602
#130755742
#130755122
#130754602
#130751392
#130744272
#130743932
#130731232
#130730582
#130728892
#130728692
#130724462
#130722902
#130720762
#130720042
#130712902
#130712352
C2×#106225532
C11×#28522
#3679611