Finite Group Databasebeta

← #14961020

Subgroups — #14961020

Order 2816.

1790 conjugacy classes of subgroups.

The subgroup lattice has 1458 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076909C211yesmaximal, characteristic
2#13076902C211yesmaximal, characteristic, complemented
3#13075785C211yesmaximal, characteristic, complemented
4#13075778C211yesmaximal, characteristic, complemented
5#13075760C211yesmaximal, characteristic, complemented
6#13075740C211yesmaximal, characteristic, complemented
7#13075737C211yesmaximal, characteristic, complemented
8#13075663C211yesmaximal, characteristic, complemented
9#13075652C211yesmaximal, characteristic, complemented
10#13075323C211yesmaximal, characteristic, complemented
11#13075215C211yesmaximal, characteristic, complemented
12#13075187C211yesmaximal, characteristic, complemented
13#13075114C211yesmaximal, characteristic, complemented
14#13075080C211yesmaximal, characteristic, complemented
15#13075038C211yesmaximal, characteristic, complemented
16#13075014C211yesmaximal, characteristic
17#13074997C211yesmaximal, characteristic
18#13074787C211yesmaximal, characteristic, complemented
19#13074765C211yesmaximal, characteristic, complemented
20#13074130C211yesmaximal, characteristic, complemented
21#13074073C211yesmaximal, characteristic, complemented
22#13074068C211yesmaximal, characteristic, complemented
23#13073918C211yesmaximal, characteristic, complemented
24#13072835C211yesmaximal, characteristic, complemented
25#13072815C211yesmaximal, characteristic, complemented
26#13072782C211yesmaximal, characteristic, complemented
27#13072776C211yesmaximal, characteristic, complemented
28#13071399C211yesmaximal, characteristic, complemented
29#13071366C211yesmaximal, characteristic, complemented
30#13070998C211yesmaximal, characteristic, complemented
31C11×#2744C211yesmaximal, characteristic, complemented
32C23×C4×D11C2211yescharacteristic
33C2×#66982C2211yescharacteristic
34C2×#66951C2211yescharacteristic
35C2×#66949C2211yescharacteristic
36C2×#66949C2211yescharacteristic
37C2×#66949C2211yescharacteristic, complemented
38C2×#66945C2211yescharacteristic
39C2×#66945C2211yescharacteristic
40C2×#66943C2211yescharacteristic, complemented
41C2×#66939C2211yescharacteristic
42C2×#66935C2211yescharacteristic
43C2×#66931C2211yescharacteristic
44C2×#66928C2211yescharacteristic
45C11×#400C2211yescharacteristic, complemented
46C11×#400C2211yescharacteristic, complemented
47C11×#398C2211yescharacteristic, complemented
48C11×#398C2211yescharacteristic, complemented
49C11×#397C2211yescharacteristic
50C11×#396C2211yescharacteristic
51C11×#388C2211yescharacteristic
52C11×#388C2211yescharacteristic
53C11×#387C2211yescharacteristic, complemented
54C11×#387C2211yescharacteristic, complemented
55C11×#387C2211yescharacteristic, complemented
56C11×#385C2211yescharacteristic
57C11×#382C2211yescharacteristic, complemented
58C11×#381C2211yescharacteristic
59C11×#380C2211yescharacteristic
60#10622825C2211yescharacteristic
61#10622823C2211yescharacteristic
62#10622607C2211yescharacteristic
63#10622607C2211yescharacteristic, complemented
64#10622607C2211yescharacteristic, complemented
65#10622606C2211yescharacteristic
66#10622605C2211yescharacteristic
67#10622605C2211yescharacteristic
68#10622605C2211yescharacteristic, complemented
69#10622604C2211yescharacteristic
70#10622604C2211yescharacteristic
71#10622604C2211yescharacteristic
72#10622603C2211yescharacteristic
73#10622603C2211yescharacteristic
74#10622603C2211yescharacteristic
75#10622603C2211yescharacteristic, complemented
76#10622602C2211yescharacteristic
77#10622602C2211yescharacteristic
78#10622602C2211yescharacteristic, complemented
79#10622601C2211yescharacteristic
80#10622600C2211yescharacteristic
81#10622600C2211yescharacteristic
82#10622598C2211yescharacteristic, complemented
83#10622596C2211yescharacteristic, complemented
84#10622595C2211yescharacteristic, complemented
85#10622595C2211yescharacteristic, complemented
86#10622594C2211yescharacteristic, complemented
87#10622593C2211yescharacteristic, complemented
88#10622592C2211yescharacteristic, complemented
89#10622592C2211yescharacteristic, complemented
90#10622591C2211yescharacteristic, complemented
91#10622591C2211yescharacteristic, complemented
92C4⋊C4×Dic11C2211yescharacteristic, complemented
93C4⋊C4×Dic11C2211yescharacteristic, complemented
94#10622587C2211yescharacteristic, complemented
95#10622574C2211yescharacteristic
96#10622572C2211yescharacteristic
97#10622570C2211yescharacteristic
98#10622569C2211yescharacteristic
99#10622568C2211yescharacteristic
100#10622568C2211yescharacteristic
101#10622568C2211yescharacteristic
102#10622568C2211yescharacteristic
103#10622568C2211yescharacteristic
104#10622565C2211yescharacteristic
105#10622564C2211yescharacteristic
106#10622564C2211yescharacteristic
107#10622561C2211yescharacteristic
108#10622560C2211yescharacteristic
109#10622560C2211yescharacteristic
110#10622557C2211yescharacteristic
111#10622557C2211yescharacteristic
112#10622556C2211yescharacteristic
113#10622555C2211yescharacteristic
114C22⋊C4×Dic11C2211yescharacteristic
115C22⋊C4×Dic11C2211yescharacteristic
116#10622553C2211yescharacteristic
117#10622553C2211yescharacteristic
118#10622553C2211yescharacteristic
119C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
120C4×Dic11⋊C4C2211yescharacteristic, complemented
121#10622542C2211yescharacteristic, complemented
122#10622541C2211yescharacteristic, complemented
123#10622288C2211yescharacteristic
124#10622288C2211yescharacteristic
125#10622288C2211yescharacteristic, complemented
126#10622287C2211yescharacteristic
127#10622287C2211yescharacteristic
128#10622287C2211yescharacteristic
129#10622287C2211yescharacteristic, complemented
130#10622286C2211yescharacteristic
131#10622286C2211yescharacteristic
132#10622286C2211yescharacteristic
133#10622286C2211yescharacteristic, complemented
134#10622285C2211yescharacteristic
135#10622283C2211yescharacteristic
136#10622283C2211yescharacteristic
137#10622283C2211yescharacteristic
138#10622283C2211yescharacteristic, complemented
139#10622283C2211yescharacteristic, complemented
140#10622283C2211yescharacteristic, complemented
141#10622282C2211yescharacteristic
142#10622282C2211yescharacteristic
143#10622282C2211yescharacteristic, complemented
144#10622282C2211yescharacteristic, complemented
145#10622281C2211yescharacteristic
146#10622281C2211yescharacteristic
147#10622281C2211yescharacteristic
148#10622281C2211yescharacteristic
149#10622281C2211yescharacteristic
150#10622281C2211yescharacteristic
151#10622280C2211yescharacteristic
152#10622280C2211yescharacteristic
153#10622279C2211yescharacteristic
154#10622279C2211yescharacteristic
155#10622278C2211yescharacteristic
156#10622278C2211yescharacteristic
157#10622278C2211yescharacteristic
158#10622278C2211yescharacteristic
159#10622278C2211yescharacteristic
160#10622278C2211yescharacteristic
161#10622277C2211yescharacteristic
162#10622277C2211yescharacteristic
163#10622277C2211yescharacteristic, complemented
164C11⋊#401C2211yescharacteristic, complemented
165#10622273C2211yescharacteristic, complemented
166#10622272C2211yescharacteristic, complemented
167#10622272C2211yescharacteristic, complemented
168#10622271C2211yescharacteristic, complemented
169#10622270C2211yescharacteristic, complemented
170#10622269C2211yescharacteristic, complemented
171#10622269C2211yescharacteristic, complemented
172#10622268C2211yescharacteristic, complemented
173#10622268C2211yescharacteristic, complemented
174#10622267C2211yescharacteristic, complemented
175#10622267C2211yescharacteristic, complemented
176#10622266C2211yescharacteristic, complemented
177#10622266C2211yescharacteristic, complemented
178#10622266C2211yescharacteristic, complemented
179#10622265C2211yescharacteristic, complemented
180#10622265C2211yescharacteristic, complemented
181#10622260C2211yescharacteristic, complemented
182#10622260C2211yescharacteristic, complemented
183#10622259C2211yescharacteristic, complemented
184#10622259C2211yescharacteristic, complemented
185#10622259C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187C24×D11C2311yescharacteristic
188C23×C4×C11C2311yescharacteristic
189C22×C22⋊D11C2311yescharacteristic
190C23×Dic11C2311yescharacteristic
191C22×D44C2311yescharacteristic
192C22×D44C2311yescharacteristic
193C22×C4×D11—24no—
194C22×C4×D11—42no—
195C22×C4×D11—42no—
196C22×C4×D11C2311yescharacteristic
197C22×C4×D11C2311yescharacteristic
198C22×C4×D11C2311yescharacteristic
199C22×C4×D11C2311yescharacteristic
200C22×C4×D11C2311yescharacteristic
201C22×Dic22C2311yescharacteristic
202C22×Dic22C2311yescharacteristic
203C22×Dic22C2311yescharacteristic
204C2×C11×C4⋊C4C2311yescharacteristic
205C2×C11×C4⋊C4C2311yescharacteristic
206C2×C11×C4⋊C4C2311yescharacteristic
207C2×C11×C4⋊C4C2311yescharacteristic
208C2×C11×C4⋊C4C2311yescharacteristic
209C2×C11×C4⋊C4C2311yescharacteristic
210C2×C11×C4⋊C4C2311yescharacteristic
211C2×C11×C4⋊C4C2311yescharacteristic
212C2×C11×C4⋊C4C2311yescharacteristic
213C2×C11×C4⋊C4C2311yescharacteristic
214C2×C11×C22⋊C4C2311yescharacteristic
215C2×C11×C22⋊C4C2311yescharacteristic
216C2×C11×C22⋊C4C2311yescharacteristic
217C2×C11×C22⋊C4C2311yescharacteristic
218C2×C11×C22⋊C4C2311yescharacteristic
219C2×C11×C22⋊C4C2311yescharacteristic
220C2×C42×C11C2311yescharacteristic
221C2×C42×C11C2311yescharacteristic
222C2×C22⋊Dic11C2311yescharacteristic
223C2×C22⋊Dic11C2311yescharacteristic
224C2×C22⋊Dic11C2311yescharacteristic
225C2×C22⋊Dic11C2311yescharacteristic
226C2×C22⋊Dic11C2311yescharacteristic
227#66982—42no—
228C2×(C2×D11)⋊C4C2311yescharacteristic
229C2×(C2×D11)⋊C4C2311yescharacteristic
230C2×(C2×D11)⋊C4C2311yescharacteristic
231C2×(C2×D11)⋊C4C2311yescharacteristic
232C2×(C2×D11)⋊C4C2311yescharacteristic
233C2×(C2×D11)⋊C4C2311yescharacteristic
234C2×(C2×D11)⋊C4C2311yescharacteristic
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×Dic11⋊C4C2311yescharacteristic
271C2×Dic11⋊C4C2311yescharacteristic
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×C4×Dic11C2311yescharacteristic
286C2×C4×Dic11C2311yescharacteristic
287C2×C4×Dic11C2311yescharacteristic
288C2×C4×Dic11C2311yescharacteristic
289C2×C4×Dic11C2311yescharacteristic
290C2×C4×Dic11C2311yescharacteristic
291C2×C4×Dic11C2311yescharacteristic
292C2×C4×Dic11C2311yescharacteristic
293C2×C4×Dic11C2311yescharacteristic
294#66951—42no—
295#66949—42no—
296#66949—42no—
297#66949—42no—
298#66945—42no—
299#66945—42no—
300#66943—42no—
301#66939—24no—
302#66935—42no—
303#66931—24no—
304#66928—42no—
305C11×#95C2311yescharacteristic
306C11×#95C2311yescharacteristic
307C11×#95C2311yescharacteristic
308C11×#95C2311yescharacteristic
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#36733—111nomaximal, Sylow
358C24×C11C2411yescharacteristic
359C23×D11—22no—
360C23×D11—22no—
361C23×D11—22no—
362C23×D11—41no—
363C23×D11—41no—
364C23×D11—41no—
365C23×D11—41no—
366C23×D11C2411yescharacteristic
367C23×D11C2411yescharacteristic
368C23×D11C2411yescharacteristic
369C22×C4×C11—22no—
370C22×C4×C11—22no—
371C22×C4×C11—41no—
372C22×C4×C11C2411yescharacteristic
373C22×C4×C11C2411yescharacteristic
374C22×C4×C11C2411yescharacteristic
375C22×C4×C11C2411yescharacteristic
376C22×C4×C11C2411yescharacteristic
377C22×C4×C11C2411yescharacteristic
378C22×C4×C11C2411yescharacteristic
379C22×C4×C11C2411yescharacteristic
380C22×C4×C11C2411yescharacteristic
381C22×C4×C11C2411yescharacteristic
382C22×C4×C11C2411yescharacteristic
383C22×C4×C11C2411yescharacteristic
384C22×C4×C11C2411yescharacteristic
385C22×C4×C11C2411yescharacteristic
386C2×C22⋊D11—22no—
387C2×C22⋊D11—41no—
388C2×C22⋊D11—41no—
389C22×Dic11—41no—
390C22×Dic11—41no—
391C22×Dic11#4114yes—
392C22×Dic11C2411yescharacteristic
393C22×Dic11C2411yescharacteristic
394C22×Dic11C2411yescharacteristic
395C22×Dic11C2411yescharacteristic
396C22×Dic11C2411yescharacteristic
397C22×Dic11C2411yescharacteristic
398C22×Dic11C2411yescharacteristic
399C22×Dic11C2411yescharacteristic
400C22×Dic11C2411yescharacteristic
401C22×Dic11C2411yescharacteristic
402C22×Dic11C2411yescharacteristic
403C22×Dic11C2411yescharacteristic
404C22×Dic11C2411yescharacteristic
405C2×D44—22no—
406C2×D44—22no—
407C2×D44—41no—
408C2×D44—41no—
409C2×D44—41no—
410C2×D44—41no—
411C2×C4×D11—22no—
412C2×C4×D11—22no—
413C2×C4×D11—22no—
414C2×C4×D11—22no—
415C2×C4×D11—22no—
416C2×C4×D11—22no—
417C2×C4×D11—22no—
418C2×C4×D11—22no—
419C2×C4×D11—41no—
420C2×C4×D11—41no—
421C2×C4×D11—41no—
422C2×C4×D11—41no—
423C2×C4×D11—41no—
424C2×C4×D11—41no—
425C2×C4×D11—41no—
426C2×C4×D11—416no—
427C2×Dic22—22no—
428C2×Dic22—41no—
429C2×Dic22—41no—
430C2×Dic22—41no—
431C2×Dic22—41no—
432C2×Dic22—41no—
433C2×Dic22—41no—
434C2×Dic22—41no—
435C2×Dic22—41no—
436C11×C4⋊C4—22no—
437C11×C4⋊C4—22no—
438C11×C4⋊C4—41no—
439C11×C4⋊C4—41no—
440C11×C4⋊C4—41no—
441C11×C4⋊C4—41no—
442C11×C4⋊C4—41no—
443C11×C4⋊C4—41no—
444C11×C4⋊C4—41no—
445C11×C4⋊C4—41no—
446C11×C22⋊C4—22no—
447C11×C22⋊C4—22no—
448C11×C22⋊C4—41no—
449C11×C22⋊C4—41no—
450C11×C22⋊C4—41no—
451C11×C22⋊C4—41no—
452C42×C11—41no—
453C42×C11—41no—
454C22⋊Dic11—22no—
455C22⋊Dic11—41no—
456C22⋊Dic11—41no—
457C22⋊Dic11—41no—
458C22⋊Dic11—41no—
459(C2×D11)⋊C4—22no—
460(C2×D11)⋊C4—22no—
461(C2×D11)⋊C4—22no—
462(C2×D11)⋊C4—22no—
463(C2×D11)⋊C4—22no—
464(C2×D11)⋊C4—22no—
465(C2×D11)⋊C4—22no—
466(C2×D11)⋊C4—22no—
467(C2×D11)⋊C4—22no—
468(C2×D11)⋊C4—22no—
469(C2×D11)⋊C4—22no—
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—
483(C2×D11)⋊C4—41no—
484(C2×D11)⋊C4—41no—
485(C2×D11)⋊C4—41no—
486(C2×D11)⋊C4—41no—
487(C2×D11)⋊C4—41no—
488(C2×D11)⋊C4—41no—
489(C2×D11)⋊C4—41no—
490(C2×D11)⋊C4—41no—
491(C2×D11)⋊C4—41no—
492C4⋊Dic11—22no—
493C4⋊Dic11—22no—
494C4⋊Dic11—22no—
495C4⋊Dic11—22no—
496C4⋊Dic11—41no—
497C4⋊Dic11—41no—
498C4⋊Dic11—41no—
499C4⋊Dic11—41no—
500C4⋊Dic11—41no—
501Dic11⋊C4—22no—
502Dic11⋊C4—22no—
503Dic11⋊C4—22no—
504Dic11⋊C4—22no—
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—
516C4×Dic11—41no—
517C4×Dic11—41no—
518C4×Dic11—41no—
519C4×Dic11—41no—
520C4×Dic11—41no—
521C4×Dic11—41no—
522C4×Dic11—41no—
523C4×Dic11—41no—
524C4×Dic11—41no—
525#2849—111no—
526#2848—111no—
527#2745—111no—
528#2745—111no—
529#2744D1111yescharacteristic, complemented
530#2743—111no—
531#2742—111no—
532#2741—111no—
533#2736—111no—
534#2735—111no—
535#2707—111no—
536#2700—111no—
537#2698—111no—
538#2692—111no—
539#2690—111no—
540#2687—111no—
541#2685—111no—
542#2684—111no—
543#2665—111no—
544#2663—111no—
545#2595—111no—
546#2589—111no—
547#2589—111no—
548#2576—111no—
549#2478—111no—
550#2477—111no—
551#2475—111no—
552#2474—111no—
553#2335—111no—
554#2332—111no—
555#2280—111no—
556C23×C11—21no—
557C23×C11—21no—
558C23×C11—21no—
559C23×C11—21no—
560C23×C11—21no—
561C23×C11—21no—
562C23×C11C2×#4112yes—
563C23×C11C2511yescharacteristic
564C22×D11—21no—
565C22×D11—21no—
566C22×D11—21no—
567C22×D11—21no—
568C22×D11—21no—
569C22×D11—21no—
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—44no—
584C22×D11—44no—
585C22×D11—44no—
586C22×D11—44no—
587C22×D11—44no—
588C22×D11—44no—
589C22×D11—44no—
590C22×D11H(5,𝔽2)12yes—
591C22×D112−1+412yes—
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—21no—
631C2×C4×C11—21no—
632C2×C4×C11—21no—
633C2×C4×C11—44no—
634C2×C4×C11H(5,𝔽2)12yes—
635C22⋊D11—82no—
636C2×Dic11—21no—
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—44no—
674C2×Dic11C2×#4112yes—
675C2×Dic11C2×#4112yes—
676D44—82no—
677D44—82no—
678C4×D11—28no—
679C4×D11—44no—
680C4×D11—44no—
681C4×D11—44no—
682C4×D11—82no—
683Dic22—82no—
684Dic22—82no—
685Dic22—82no—
686C24×C4—111no—
687C2×#126—111no—
688C2×#125—111no—
689C2×#124—111no—
690C2×#123—111no—
691C2×#123—111no—
692C2×C22⋊Q8—111no—
693C2×C22⋊Q8—111no—
694C2×C22⋊Q8—111no—
695C2×C22⋊Q8—111no—
696C2×#120—111no—
697C2×#117—111no—
698C2×#117—111no—
699#401—111no—
700#400—111no—
701#400—111no—
702#400—111no—
703#400—111no—
704#400—111no—
705#400—111no—
706#400C2×D1111yescharacteristic, complemented
707#400C2×D1111yescharacteristic, complemented
708#399—111no—
709#399—111no—
710#399—111no—
711#398—111no—
712#398—111no—
713#398—111no—
714#398C2×D1111yescharacteristic, complemented
715#398C2×D1111yescharacteristic, complemented
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#397C2×D1111yescharacteristic
726#396—111no—
727#396—111no—
728#396—111no—
729#396—111no—
730#396C2×D1111yescharacteristic
731#395—111no—
732#395—111no—
733#395—111no—
734#395—111no—
735#394—111no—
736#394—111no—
737#394—111no—
738#394—111no—
739#394—111no—
740#394—111no—
741#393—111no—
742#393—111no—
743#393—111no—
744#393—111no—
745#393—111no—
746#393—111no—
747#391—111no—
748#391—111no—
749#391—111no—
750#391—111no—
751#391—111no—
752#391—111no—
753#390—111no—
754#390—111no—
755#389—111no—
756#389—111no—
757#389—111no—
758#389—111no—
759#388—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#388C2×D1111yescharacteristic
781#388C2×D1111yescharacteristic
782#387—111no—
783#387—111no—
784#387—111no—
785#387—111no—
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#387C2×D1111yescharacteristic, complemented
795#387C2×D1111yescharacteristic, complemented
796#387C2×D1111yescharacteristic, complemented
797#386—111no—
798#386—111no—
799#386—111no—
800#386—111no—
801#386—111no—
802#386—111no—
803#386—111no—
804#385—111no—
805#385—111no—
806#385—111no—
807#385—111no—
808#385—111no—
809#385—111no—
810#385—111no—
811#385—111no—
812#385—111no—
813#385—111no—
814#385C2×D1111yescharacteristic
815#382C2×D1111yescharacteristic, complemented
816#381—111no—
817#381—111no—
818#381—111no—
819#381—111no—
820#381C2×D1111yescharacteristic
821#380—111no—
822#380—111no—
823#380—111no—
824#380—111no—
825#380—111no—
826#380—111no—
827#380C2×D1111yescharacteristic
828#379—111no—
829#379—111no—
830#379—111no—
831#379—111no—
832#379—111no—
833C4×C4⋊C4—111no—
834C4×C4⋊C4—111no—
835C4×C4⋊C4—111no—
836C4×C22⋊C4—111no—
837C4×C22⋊C4—111no—
838C4×C22⋊C4—111no—
839C4×C22⋊C4—111no—
840C4×C22⋊C4—111no—
841C22×C11—22no—
842C22×C11—22no—
843C22×C11—22no—
844C22×C11—41no—
845C22×C11—41no—
846C22×C11—41no—
847C22×C11—41no—
848C22×C11C22×#4111yescharacteristic
849C22×C11C2×H(5,𝔽2)11yescharacteristic
850C22×C11C2×H(5,𝔽2)11yescharacteristic
851C22×C11C2×2−1+411yescharacteristic
852C22×C11#58511yescharacteristic
853C22×C11#58511yescharacteristic
854C22×C11#58511yescharacteristic
855C2×D11—22no—
856C2×D11—22no—
857C2×D11—22no—
858C2×D11—22no—
859C2×D11—22no—
860C2×D11—22no—
861C2×D11—416no—
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—41no—
874C2×D11—41no—
875C2×D11—41no—
876C2×D11—41no—
877C4×C11—22no—
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—
887C4×C11—41no—
888C4×C11—41no—
889C4×C11—41no—
890C4×C11—41no—
891Dic11—22no—
892Dic11—22no—
893Dic11—41no—
894Dic11—41no—
895Dic11—41no—
896Dic11—41no—
897Dic11—41no—
898Dic11—41no—
899Dic11—41no—
900Dic11—41no—
901Dic11—41no—
902Dic11—41no—
903Dic11—41no—
904C25—111no—
905C22×Q8—111no—
906C22×Q8—111no—
907C22×Q8—111no—
908C22×D4—111no—
909C22×D4—111no—
910C22×D4—111no—
911C23×C4—111no—
912C23×C4—111no—
913C23×C4—111no—
914C23×C4—111no—
915C23×C4—111no—
916C23×C4—111no—
917C23×C4—224no—
918C23×C4—442no—
919C23×C4—442no—
920C23×C4C22×D1111yescharacteristic
921#126—442no—
922#125—442no—
923#124—442no—
924#123—224no—
925#123—442no—
926C22⋊Q8—224no—
927C22⋊Q8—442no—
928C22⋊Q8—442no—
929C22⋊Q8—442no—
930#120—442no—
931#117—442no—
932#117—442no—
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⋊C4C22×D1111yescharacteristic
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×C4⋊C4C22×D1111yescharacteristic
965C2×C4⋊C4C22×D1111yescharacteristic
966C2×C4⋊C4C22×D1111yescharacteristic
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—111no—
1000C2×C22⋊C4—111no—
1001C2×C22⋊C4—111no—
1002C2×C22⋊C4—111no—
1003C2×C22⋊C4—111no—
1004C2×C22⋊C4—111no—
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—111no—
1012C2×C42—111no—
1013C2×C42—111no—
1014C2×C42—111no—
1015C2×C42—111no—
1016C2×C42—111no—
1017C2×C42—111no—
1018C2×C42—111no—
1019C2×C42—111no—
1020C2×C42C22×D1111yescharacteristic
1021C2×C42C22×D1111yescharacteristic
1022#95—111no—
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#95C22×D1111yescharacteristic
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
1071#95C22×D1111yescharacteristic
1072#95C22×D1111yescharacteristic
1073#95C22×D1111yescharacteristic
1074C2×C11—42no—
1075C2×C11#345511yescharacteristic
1076C2×C11#349011yescharacteristic
1077C2×C11#349511yescharacteristic
1078C2×C11#353311yescharacteristic
1079C2×C11#353511yescharacteristic
1080C2×C11#354011yescharacteristic
1081C2×C11#354111yescharacteristic
1082D11—42no—
1083D11—42no—
1084D11—81no—
1085C24—111no—
1086C24—111no—
1087C24—111no—
1088C24—222no—
1089C24—222no—
1090C24—222no—
1091C24—441no—
1092C24—441no—
1093C24—441no—
1094C24—441no—
1095C24C23×D1111yescharacteristic
1096C2×Q8—222no—
1097C2×Q8—441no—
1098C2×Q8—441no—
1099C2×Q8—441no—
1100C2×Q8—441no—
1101C2×Q8—441no—
1102C2×Q8—441no—
1103C2×Q8—441no—
1104C2×Q8—441no—
1105C2×D4—222no—
1106C2×D4—222no—
1107C2×D4—222no—
1108C2×D4—441no—
1109C2×D4—441no—
1110C2×D4—441no—
1111C2×D4—441no—
1112C2×D4—441no—
1113C2×D4—441no—
1114C22×C4—22no—
1115C22×C4—22no—
1116C22×C4—41no—
1117C22×C4—111no—
1118C22×C4—111no—
1119C22×C4—114no—
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—111no—
1130C22×C4—111no—
1131C22×C4—222no—
1132C22×C4—222no—
1133C22×C4—222no—
1134C22×C4—222no—
1135C22×C4—222no—
1136C22×C4—222no—
1137C22×C4—222no—
1138C22×C4—222no—
1139C22×C4—441no—
1140C22×C4—441no—
1141C22×C4—441no—
1142C22×C4—441no—
1143C22×C4—441no—
1144C22×C4—441no—
1145C22×C4—441no—
1146C22×C4—4416no—
1147C22×C4—441no—
1148C22×C4—441no—
1149C22×C4C23×D1111yescharacteristic
1150C22×C4C23×D1111yescharacteristic
1151C22×C4C23×D1111yescharacteristic
1152C22×C4C23×D1111yescharacteristic
1153C22×C4C23×D1111yescharacteristic
1154C22×C4C23×D1111yescharacteristic
1155C22×C4C23×D1111yescharacteristic
1156C22×C4C23×D1111yescharacteristic
1157C22×C4C23×D1111yescharacteristic
1158C22×C4C23×D1111yescharacteristic
1159C22×C4C23×D1111yescharacteristic
1160C22×C4C23×D1111yescharacteristic
1161C22×C4C23×D1111yescharacteristic
1162C22×C4C23×D1111yescharacteristic
1163C4⋊C4—22no—
1164C4⋊C4—22no—
1165C4⋊C4—41no—
1166C4⋊C4—41no—
1167C4⋊C4—41no—
1168C4⋊C4—41no—
1169C4⋊C4—41no—
1170C4⋊C4—41no—
1171C4⋊C4—41no—
1172C4⋊C4—41no—
1173C4⋊C4—222no—
1174C4⋊C4—222no—
1175C4⋊C4—222no—
1176C4⋊C4—222no—
1177C4⋊C4—222no—
1178C4⋊C4—222no—
1179C4⋊C4—222no—
1180C4⋊C4—222no—
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—
1193C4⋊C4—441no—
1194C4⋊C4—441no—
1195C4⋊C4—441no—
1196C4⋊C4—441no—
1197C22⋊C4—22no—
1198C22⋊C4—22no—
1199C22⋊C4—41no—
1200C22⋊C4—41no—
1201C22⋊C4—41no—
1202C22⋊C4—41no—
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—222no—
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—
1237C22⋊C4—441no—
1238C22⋊C4—441no—
1239C22⋊C4—441no—
1240C22⋊C4—441no—
1241C42—41no—
1242C42—41no—
1243C42—441no—
1244C42—441no—
1245C42—441no—
1246C42—441no—
1247C42—441no—
1248C42—441no—
1249C42—441no—
1250C42—441no—
1251C42—441no—
1252C11#3673311yescharacteristic, complemented, Sylow
1253C23—21no—
1254C23—21no—
1255C23—21no—
1256C23—21no—
1257C23—21no—
1258C23—21no—
1259C23—112no—
1260C23—112no—
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—221no—
1275C23—221no—
1276C23—221no—
1277C23—221no—
1278C23—221no—
1279C23—221no—
1280C23—444no—
1281C23—444no—
1282C23—444no—
1283C23—444no—
1284C23—444no—
1285C23—444no—
1286C23—444no—
1287C23#41×D1112yes—
1288C23C24×D1111yescharacteristic
1289Q8—882no—
1290Q8—882no—
1291Q8—882no—
1292D4—882no—
1293D4—882no—
1294D4—882no—
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—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—44no—
1337C2×C4—112no—
1338C2×C4—112no—
1339C2×C4—228no—
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—221no—
1374C2×C4—221no—
1375C2×C4—221no—
1376C2×C4—221no—
1377C2×C4—444no—
1378C2×C4—444no—
1379C2×C4—444no—
1380C2×C4—444no—
1381C2×C4—882no—
1382C2×C4#6704212yes—
1383C22—22no—
1384C22—22no—
1385C22—22no—
1386C22—41no—
1387C22—41no—
1388C22—41no—
1389C22—41no—
1390C22—222no—
1391C22—222no—
1392C22—222no—
1393C22—222no—
1394C22—222no—
1395C22—222no—
1396C22—4416no—
1397C22—441no—
1398C22—441no—
1399C22—441no—
1400C22—441no—
1401C22—441no—
1402C22—441no—
1403C22—441no—
1404C22—441no—
1405C22—441no—
1406C22—441no—
1407C22—441no—
1408C22—441no—
1409C22—441no—
1410C22—441no—
1411C22—441no—
1412C22C2×#41×D1111yescharacteristic
1413C22C2×#6704211yescharacteristic
1414C22#1062345311yescharacteristic
1415C22D11×H(5,𝔽2)11yescharacteristic
1416C22#1062345511yescharacteristic
1417C22D11×2−1+411yescharacteristic
1418C22#1062345711yescharacteristic
1419C4—22no—
1420C4—41no—
1421C4—41no—
1422C4—41no—
1423C4—41no—
1424C4—41no—
1425C4—41no—
1426C4—41no—
1427C4—41no—
1428C4—41no—
1429C4—41no—
1430C4—41no—
1431C4—41no—
1432C4—41no—
1433C4—222no—
1434C4—222no—
1435C4—441no—
1436C4—441no—
1437C4—441no—
1438C4—441no—
1439C4—441no—
1440C4—441no—
1441C4—441no—
1442C4—441no—
1443C4—441no—
1444C4—441no—
1445C4—441no—
1446C2—42no—
1447C2—442no—
1448C2—442no—
1449C2—881no—
1450C2#1308200211yescharacteristic
1451C2#1308230011yescharacteristic
1452C2#1308235911yescharacteristic
1453C2#1308279111yescharacteristic
1454C2#1308281611yescharacteristic
1455C2#1308288611yescharacteristic
1456C2#1308291511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2744C2
prime radicalC2×#66935C22
hypercenter#2744D11
hypocenterC11#36733
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2744

Complements

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

NH ≅ G/Ntype
2. #13076902C2semidirect
3. #13075785C2semidirect
4. #13075778C2semidirect
5. #13075760C2semidirect
6. #13075740C2semidirect
7. #13075737C2semidirect
8. #13075663C2semidirect
9. #13075652C2semidirect
10. #13075323C2semidirect
11. #13075215C2semidirect
12. #13075187C2semidirect
13. #13075114C2semidirect
14. #13075080C2semidirect
15. #13075038C2semidirect
18. #13074787C2semidirect
19. #13074765C2semidirect
20. #13074130C2semidirect
21. #13074073C2semidirect
22. #13074068C2semidirect
23. #13073918C2semidirect
24. #13072835C2semidirect
25. #13072815C2semidirect
26. #13072782C2semidirect
27. #13072776C2semidirect
28. #13071399C2semidirect
29. #13071366C2semidirect
30. #13070998C2semidirect
31. C11×#2744C2semidirect
37. C2×#66949C22semidirect
40. C2×#66943C22semidirect
45. C11×#400C22semidirect
46. C11×#400C22semidirect
47. C11×#398C22semidirect
48. C11×#398C22semidirect
53. C11×#387C22semidirect
54. C11×#387C22semidirect
55. C11×#387C22semidirect
57. C11×#382C22semidirect
63. #10622607C22semidirect
64. #10622607C22semidirect
68. #10622605C22semidirect
75. #10622603C22semidirect
78. #10622602C22semidirect
82. #10622598C22semidirect
83. #10622596C22semidirect
84. #10622595C22semidirect
85. #10622595C22semidirect
86. #10622594C22semidirect
87. #10622593C22semidirect
88. #10622592C22semidirect
89. #10622592C22semidirect
90. #10622591C22semidirect
91. #10622591C22semidirect
92. C4⋊C4×Dic11C22semidirect
93. C4⋊C4×Dic11C22semidirect
94. #10622587C22semidirect
119. C4×(C2×D11)⋊C4C22semidirect
120. C4×Dic11⋊C4C22semidirect
121. #10622542C22semidirect
122. #10622541C22semidirect
125. #10622288C22semidirect
129. #10622287C22semidirect
133. #10622286C22semidirect
138. #10622283C22semidirect
139. #10622283C22semidirect
140. #10622283C22semidirect
143. #10622282C22semidirect
144. #10622282C22semidirect
163. #10622277C22semidirect
164. C11⋊#401C22semidirect
165. #10622273C22semidirect
166. #10622272C22semidirect
167. #10622272C22semidirect
168. #10622271C22semidirect
169. #10622270C22semidirect
170. #10622269C22semidirect
171. #10622269C22semidirect
172. #10622268C22semidirect
173. #10622268C22semidirect
174. #10622267C22semidirect
175. #10622267C22semidirect
176. #10622266C22semidirect
177. #10622266C22semidirect
178. #10622266C22semidirect
179. #10622265C22semidirect
180. #10622265C22semidirect
181. #10622260C22semidirect
182. #10622260C22semidirect
183. #10622259C22semidirect
184. #10622259C22semidirect
185. #10622259C22semidirect
186. #10622259C22semidirect
529. #2744D11semidirect
706. #400C2×D11semidirect
707. #400C2×D11semidirect
714. #398C2×D11semidirect
715. #398C2×D11semidirect
794. #387C2×D11semidirect
795. #387C2×D11semidirect
796. #387C2×D11semidirect
815. #382C2×D11semidirect
1252. C11#36733semidirect

Maximal subgroups

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

subgroupindex
#130769092
#130769022
#130757852
#130757782
#130757602
#130757402
#130757372
#130756632
#130756522
#130753232
#130752152
#130751872
#130751142
#130750802
#130750382
#130750142
#130749972
#130747872
#130747652
#130741302
#130740732
#130740682
#130739182
#130728352
#130728152
#130727822
#130727762
#130713992
#130713662
#130709982
C11×#27442
#3673311