Finite Group Databasebeta

← #14961843

Subgroups — #14961843

Order 2816.

1650 conjugacy classes of subgroups.

The subgroup lattice has 1442 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076967C211yesmaximal, characteristic, complemented
2#13076943C211yesmaximal, characteristic, complemented
3#13076547C211yesmaximal, characteristic, complemented
4#13076539C211yesmaximal, characteristic, complemented
5#13076419C211yesmaximal, characteristic, complemented
6#13076299C211yesmaximal, characteristic, complemented
7#13076271C211yesmaximal, characteristic, complemented
8#13075814C211yesmaximal, characteristic, complemented
9#13075726C211yesmaximal, characteristic, complemented
10#13075612C211yesmaximal, characteristic, complemented
11#13075584C211yesmaximal, characteristic, complemented
12#13075530C211yesmaximal, characteristic, complemented
13#13075471C211yesmaximal, characteristic, complemented
14#13075440C211yesmaximal, characteristic, complemented
15#13075257C211yesmaximal, characteristic
16#13075159C211yesmaximal, characteristic, complemented
17#13075099C211yesmaximal, characteristic, complemented
18#13074903C211yesmaximal, characteristic, complemented
19#13074465C211yesmaximal, characteristic, complemented
20#13074463C211yesmaximal, characteristic, complemented
21#13074067C211yesmaximal, characteristic, complemented
22#13074051C211yesmaximal, characteristic, complemented
23#13073757C211yesmaximal, characteristic, complemented
24#13073717C211yesmaximal, characteristic, complemented
25#13073442C211yesmaximal, characteristic, complemented
26#13072854C211yesmaximal, characteristic, complemented
27#13072717C211yesmaximal, characteristic, complemented
28#13071404C211yesmaximal, characteristic, complemented
29#13071400C211yesmaximal, characteristic, complemented
30#13071060C211yesmaximal, characteristic, complemented
31C11×#2529C211yesmaximal, characteristic, complemented
32C2×#66951C2211yescharacteristic
33C2×#66951C2211yescharacteristic
34C2×#66949C2211yescharacteristic
35C2×#66949C2211yescharacteristic
36C2×#66947C2211yescharacteristic
37C2×#66947C2211yescharacteristic
38C2×#66941C2211yescharacteristic
39C2×#66939C2211yescharacteristic
40C2×#66938C2211yescharacteristic
41C2×#66937C2211yescharacteristic
42C2×#66936C2211yescharacteristic
43C2×#66931C2211yescharacteristic
44C2×C4×D44C2211yescharacteristic
45C2×#66925C2211yescharacteristic
46C2×C42×D11C2211yescharacteristic
47C11×#400C2211yescharacteristic
48C11×#398C2211yescharacteristic
49C11×#397C2211yescharacteristic
50C11×#396C2211yescharacteristic
51C11×#389C2211yescharacteristic
52C11×#388C2211yescharacteristic
53C11×#388C2211yescharacteristic
54C11×#388C2211yescharacteristic
55C11×#388C2211yescharacteristic
56C11×#388C2211yescharacteristic
57C11×#387C2211yescharacteristic
58C11×#387C2211yescharacteristic
59C11×#382C2211yescharacteristic
60C4×C11×C4⋊C4C2211yescharacteristic
61C11×#376C2211yescharacteristic
62#10622607C2211yescharacteristic
63#10622607C2211yescharacteristic
64#10622606C2211yescharacteristic
65#10622605C2211yescharacteristic
66#10622605C2211yescharacteristic
67#10622605C2211yescharacteristic
68#10622604C2211yescharacteristic
69#10622604C2211yescharacteristic
70#10622603C2211yescharacteristic
71#10622603C2211yescharacteristic
72#10622603C2211yescharacteristic
73#10622602C2211yescharacteristic
74#10622602C2211yescharacteristic
75#10622601C2211yescharacteristic
76#10622600C2211yescharacteristic
77#10622600C2211yescharacteristic
78#10622597C2211yescharacteristic
79#10622597C2211yescharacteristic
80#10622595C2211yescharacteristic
81#10622594C2211yescharacteristic
82#10622593C2211yescharacteristic
83#10622591C2211yescharacteristic
84#10622591C2211yescharacteristic
85#10622589C2211yescharacteristic
86#10622587C2211yescharacteristic
87#10622586C2211yescharacteristic
88#10622585C2211yescharacteristic
89#10622585C2211yescharacteristic
90#10622585C2211yescharacteristic
91#10622574C2211yescharacteristic
92#10622574C2211yescharacteristic
93#10622573C2211yescharacteristic
94#10622573C2211yescharacteristic
95#10622572C2211yescharacteristic
96#10622572C2211yescharacteristic
97#10622571C2211yescharacteristic
98#10622571C2211yescharacteristic
99#10622570C2211yescharacteristic
100#10622570C2211yescharacteristic
101#10622570C2211yescharacteristic
102#10622569C2211yescharacteristic
103#10622569C2211yescharacteristic
104#10622569C2211yescharacteristic
105#10622565C2211yescharacteristic
106#10622565C2211yescharacteristic
107#10622561C2211yescharacteristic
108#10622561C2211yescharacteristic
109#10622559C2211yescharacteristic
110#10622559C2211yescharacteristic
111#10622558C2211yescharacteristic
112#10622557C2211yescharacteristic
113C22⋊C4×Dic11C2211yescharacteristic
114#10622553C2211yescharacteristic
115#10622553C2211yescharacteristic
116#10622553C2211yescharacteristic
117#10622553C2211yescharacteristic
118#10622553C2211yescharacteristic
119#10622553C2211yescharacteristic
120#10622552C2211yescharacteristic
121C4×(C2×D11)⋊C4C2211yescharacteristic
122C4×(C2×D11)⋊C4C2211yescharacteristic
123C4×(C2×D11)⋊C4C2211yescharacteristic
124C4×C4⋊Dic11C2211yescharacteristic
125#10622546C2211yescharacteristic
126#10622546C2211yescharacteristic
127#10622546C2211yescharacteristic
128#10622546C2211yescharacteristic
129#10622542C2211yescharacteristic
130#10622541C2211yescharacteristic
131#10622289C2211yescharacteristic
132#10622288C2211yescharacteristic
133#10622288C2211yescharacteristic
134#10622288C2211yescharacteristic
135#10622288C2211yescharacteristic
136#10622287C2211yescharacteristic
137#10622286C2211yescharacteristic
138#10622286C2211yescharacteristic
139#10622286C2211yescharacteristic
140#10622285C2211yescharacteristic
141#10622285C2211yescharacteristic
142#10622285C2211yescharacteristic
143#10622284C2211yescharacteristic
144#10622283C2211yescharacteristic
145#10622283C2211yescharacteristic
146#10622283C2211yescharacteristic
147#10622283C2211yescharacteristic
148#10622282C2211yescharacteristic
149#10622282C2211yescharacteristic
150#10622281C2211yescharacteristic
151#10622281C2211yescharacteristic
152#10622281C2211yescharacteristic
153#10622281C2211yescharacteristic
154#10622280C2211yescharacteristic
155#10622280C2211yescharacteristic
156#10622280C2211yescharacteristic
157#10622280C2211yescharacteristic
158#10622278C2211yescharacteristic
159#10622278C2211yescharacteristic
160#10622278C2211yescharacteristic
161#10622278C2211yescharacteristic
162#10622278C2211yescharacteristic
163#10622274C2211yescharacteristic
164#10622273C2211yescharacteristic
165#10622273C2211yescharacteristic
166#10622272C2211yescharacteristic
167#10622272C2211yescharacteristic
168#10622271C2211yescharacteristic
169#10622270C2211yescharacteristic
170#10622270C2211yescharacteristic
171#10622269C2211yescharacteristic
172#10622267C2211yescharacteristic
173#10622267C2211yescharacteristic
174#10622267C2211yescharacteristic
175#10622266C2211yescharacteristic
176#10622266C2211yescharacteristic
177#10622266C2211yescharacteristic
178#10622265C2211yescharacteristic
179#10622265C2211yescharacteristic
180#10622265C2211yescharacteristic
181#10622262C2211yescharacteristic
182#10622260C2211yescharacteristic
183#10622260C2211yescharacteristic
184#10622260C2211yescharacteristic
185#10622259C2211yescharacteristic
186#10622259C2211yescharacteristic
187C22×C22⋊D11C2311yescharacteristic
188C22×C22⋊D11C2311yescharacteristic
189C22×C22⋊D11C2311yescharacteristic
190C23×Dic11C2311yescharacteristic
191C22×D44C2311yescharacteristic
192C22×D44C2311yescharacteristic
193C22×D44C2311yescharacteristic
194C22×C4×D11C2311yescharacteristic
195C22×C4×D11C2311yescharacteristic
196C22×C4×D11C2311yescharacteristic
197C22×C4×D11C2311yescharacteristic
198C22×C4×D11C2311yescharacteristic
199C22×Dic22C2311yescharacteristic
200C22×Dic22C2311yescharacteristic
201C2×C11×C4⋊C4C2311yescharacteristic
202C2×C11×C4⋊C4C2311yescharacteristic
203C2×C11×C4⋊C4C2311yescharacteristic
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×C22⋊C4C2311yescharacteristic
211C2×C11×C22⋊C4C2311yescharacteristic
212C2×C11×C22⋊C4C2311yescharacteristic
213C2×C11×C22⋊C4C2311yescharacteristic
214C2×C11×C22⋊C4C2311yescharacteristic
215C2×C11×C22⋊C4C2311yescharacteristic
216C2×C11×C22⋊C4C2311yescharacteristic
217C2×C42×C11C2311yescharacteristic
218C2×C42×C11C2311yescharacteristic
219C2×C42×C11C2311yescharacteristic
220C2×C42×C11C2311yescharacteristic
221C2×C42×C11C2311yescharacteristic
222C2×C22⋊Dic11C2311yescharacteristic
223C2×C22⋊Dic11C2311yescharacteristic
224C2×C22⋊Dic11C2311yescharacteristic
225C2×C22⋊Dic11C2311yescharacteristic
226C2×(C2×D11)⋊C4C2311yescharacteristic
227C2×(C2×D11)⋊C4C2311yescharacteristic
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×C4⋊Dic11C2311yescharacteristic
258C2×C4⋊Dic11C2311yescharacteristic
259C2×C4⋊Dic11C2311yescharacteristic
260C2×C4⋊Dic11C2311yescharacteristic
261C2×C4⋊Dic11C2311yescharacteristic
262C2×C4⋊Dic11C2311yescharacteristic
263C2×C4⋊Dic11C2311yescharacteristic
264C2×C4⋊Dic11C2311yescharacteristic
265C2×Dic11⋊C4C2311yescharacteristic
266C2×Dic11⋊C4C2311yescharacteristic
267C2×Dic11⋊C4C2311yescharacteristic
268C2×Dic11⋊C4C2311yescharacteristic
269C2×Dic11⋊C4C2311yescharacteristic
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×Dic11⋊C4C2311yescharacteristic
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#66951—42no—
296#66949—42no—
297#66949—42no—
298#66947—24no—
299#66947—42no—
300#66941—42no—
301#66939—42no—
302#66938—42no—
303#66937—42no—
304#66936—24no—
305#66931—42no—
306C4×D44—24no—
307#66925—42no—
308C42×D11—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#36767—111nomaximal, Sylow
358C24×C11C2411yescharacteristic
359C23×D11C2411yescharacteristic
360C23×D11C2411yescharacteristic
361C23×D11C2411yescharacteristic
362C22×C4×C11C2411yescharacteristic
363C22×C4×C11C2411yescharacteristic
364C22×C4×C11C2411yescharacteristic
365C22×C4×C11C2411yescharacteristic
366C22×C4×C11C2411yescharacteristic
367C22×C4×C11C2411yescharacteristic
368C22×C4×C11C2411yescharacteristic
369C22×C4×C11C2411yescharacteristic
370C22×C4×C11C2411yescharacteristic
371C22×C4×C11C2411yescharacteristic
372C22×C4×C11C2411yescharacteristic
373C22×C4×C11C2411yescharacteristic
374C22×C4×C11C2411yescharacteristic
375C22×C4×C11C2411yescharacteristic
376C2×C22⋊D11—22no—
377C2×C22⋊D11—22no—
378C2×C22⋊D11—41no—
379C2×C22⋊D11—41no—
380C2×C22⋊D11—41no—
381C2×C22⋊D11—41no—
382C2×C22⋊D11—41no—
383C2×C22⋊D11—41no—
384C2×C22⋊D11—41no—
385C22×Dic11—41no—
386C22×Dic11—41no—
387C22×Dic11—41no—
388C22×Dic11C2411yescharacteristic
389C22×Dic11C2411yescharacteristic
390C22×Dic11C2411yescharacteristic
391C22×Dic11C2411yescharacteristic
392C22×Dic11C2411yescharacteristic
393C22×Dic11C2411yescharacteristic
394C22×Dic11C2411yescharacteristic
395C22×Dic11C2411yescharacteristic
396C22×Dic11C2411yescharacteristic
397C22×Dic11C2411yescharacteristic
398C22×Dic11C2411yescharacteristic
399C22×Dic11C2411yescharacteristic
400C22×Dic11C2411yescharacteristic
401C2×D44—22no—
402C2×D44—22no—
403C2×D44—41no—
404C2×D44—41no—
405C2×D44—41no—
406C2×D44—41no—
407C2×D44—41no—
408C2×D44—41no—
409C2×D44—41no—
410C2×C4×D11—22no—
411C2×C4×D11—22no—
412C2×C4×D11—22no—
413C2×C4×D11—22no—
414C2×C4×D11—41no—
415C2×C4×D11—41no—
416C2×C4×D11—41no—
417C2×C4×D11—41no—
418C2×C4×D11—41no—
419C2×C4×D11—41no—
420C2×C4×D11—41no—
421C2×C4×D11—41no—
422C2×C4×D11—41no—
423C2×C4×D11—41no—
424C2×C4×D11#4114yes—
425C2×Dic22—22no—
426C2×Dic22—22no—
427C2×Dic22—41no—
428C2×Dic22—41no—
429C2×Dic22—41no—
430C2×Dic22—41no—
431C11×C4⋊C4—22no—
432C11×C4⋊C4—22no—
433C11×C4⋊C4—41no—
434C11×C4⋊C4—41no—
435C11×C4⋊C4—41no—
436C11×C4⋊C4—41no—
437C11×C4⋊C4—41no—
438C11×C4⋊C4—41no—
439C11×C4⋊C4—41no—
440C11×C22⋊C4—22no—
441C11×C22⋊C4—22no—
442C11×C22⋊C4—41no—
443C11×C22⋊C4—41no—
444C11×C22⋊C4—41no—
445C11×C22⋊C4—41no—
446C11×C22⋊C4—41no—
447C42×C11—22no—
448C42×C11—22no—
449C42×C11—41no—
450C42×C11—41no—
451C42×C11—41no—
452C22⋊Dic11—22no—
453C22⋊Dic11—22no—
454C22⋊Dic11—41no—
455C22⋊Dic11—41no—
456(C2×D11)⋊C4—22no—
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—22no—
464(C2×D11)⋊C4—22no—
465(C2×D11)⋊C4—22no—
466(C2×D11)⋊C4—22no—
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—
483(C2×D11)⋊C4—41no—
484(C2×D11)⋊C4—41no—
485(C2×D11)⋊C4—41no—
486(C2×D11)⋊C4—41no—
487C4⋊Dic11—22no—
488C4⋊Dic11—22no—
489C4⋊Dic11—22no—
490C4⋊Dic11—22no—
491C4⋊Dic11—22no—
492C4⋊Dic11—41no—
493C4⋊Dic11—41no—
494C4⋊Dic11—41no—
495Dic11⋊C4—22no—
496Dic11⋊C4—22no—
497Dic11⋊C4—22no—
498Dic11⋊C4—22no—
499Dic11⋊C4—22no—
500Dic11⋊C4—22no—
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—
516C4×Dic11—22no—
517C4×Dic11—41no—
518C4×Dic11—41no—
519C4×Dic11—41no—
520C4×Dic11—41no—
521C4×Dic11—41no—
522C4×Dic11—41no—
523C4×Dic11—41no—
524#2857—111no—
525#2854—111no—
526#2803—111no—
527#2802—111no—
528#2793—111no—
529#2783—111no—
530#2780—111no—
531#2747—111no—
532#2741—111no—
533#2730—111no—
534#2728—111no—
535#2723—111no—
536#2718—111no—
537#2716—111no—
538#2703—111no—
539#2696—111no—
540#2691—111no—
541#2674—111no—
542#2630—111no—
543#2630—111no—
544#2589—111no—
545#2588—111no—
546#2560—111no—
547#2557—111no—
548#2530—111no—
549#2529D1111yescharacteristic, complemented
550#2479—111no—
551#2470—111no—
552#2335—111no—
553#2335—111no—
554#2290—111no—
555C23×C11—21no—
556C23×C11—21no—
557C23×C11—21no—
558C23×C11—21no—
559C23×C11—21no—
560C23×C11—21no—
561C23×C11—21no—
562C23×C11C2511yescharacteristic
563C22×D11—21no—
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×D11C2×#4112yes—
584C2×C4×C11—21no—
585C2×C4×C11—21no—
586C2×C4×C11—21no—
587C2×C4×C11—21no—
588C2×C4×C11—21no—
589C2×C4×C11—21no—
590C2×C4×C11—21no—
591C2×C4×C11—21no—
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×C11C2×#4112yes—
625C2×C4×C11H(5,𝔽2)12yes—
626C22⋊D11—82no—
627C22⋊D11—82no—
628C22⋊D11—82no—
629C2×Dic11—21no—
630C2×Dic11—21no—
631C2×Dic11—21no—
632C2×Dic11—21no—
633C2×Dic11—21no—
634C2×Dic11—21no—
635C2×Dic11—21no—
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—82no—
666C2×Dic11C2×#4112yes—
667C2×Dic11H(5,𝔽2)12yes—
668C2×Dic112−1+412yes—
669D44—44no—
670D44—82no—
671D44—82no—
672C4×D11—44no—
673C4×D11—44no—
674C4×D11—44no—
675C4×D11—44no—
676C4×D11—82no—
677Dic22—82no—
678Dic22—82no—
679C2×C4⋊Q8—111no—
680C2×#126—111no—
681C2×#126—111no—
682C2×#124—111no—
683C2×#123—111no—
684C2×#123—111no—
685C2×#123—111no—
686C2×#123—111no—
687C2×C22⋊Q8—111no—
688C2×C22⋊Q8—111no—
689C2×C22⋊Q8—111no—
690C2×#121—111no—
691C2×C4×D4—111no—
692C2×#117—111no—
693C22×C42—111no—
694#400—111no—
695#400—111no—
696#400—111no—
697#400—111no—
698#400—111no—
699#400—111no—
700#400C2×D1111yescharacteristic
701#399—111no—
702#399—111no—
703#399—111no—
704#398—111no—
705#398—111no—
706#398—111no—
707#398—111no—
708#398—111no—
709#398—111no—
710#398C2×D1111yescharacteristic
711#397—111no—
712#397—111no—
713#397—111no—
714#397—111no—
715#397—111no—
716#397—111no—
717#397—111no—
718#397—111no—
719#397C2×D1111yescharacteristic
720#396—111no—
721#396—111no—
722#396—111no—
723#396—111no—
724#396—111no—
725#396C2×D1111yescharacteristic
726#395—111no—
727#394—111no—
728#394—111no—
729#394—111no—
730#394—111no—
731#394—111no—
732#394—111no—
733#394—111no—
734#394—111no—
735#394—111no—
736#393—111no—
737#393—111no—
738#393—111no—
739#392—111no—
740#392—111no—
741#392—111no—
742#391—111no—
743#391—111no—
744#391—111no—
745#391—111no—
746#390—111no—
747#390—111no—
748#390—111no—
749#390—111no—
750#390—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#389C2×D1111yescharacteristic
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#388C2×D1111yescharacteristic
778#388C2×D1111yescharacteristic
779#388C2×D1111yescharacteristic
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#387—111no—
795#387—111no—
796#387—111no—
797#387—111no—
798#387C2×D1111yescharacteristic
799#387C2×D1111yescharacteristic
800#386—111no—
801#386—111no—
802#386—111no—
803#386—111no—
804#386—111no—
805#386—111no—
806#386—111no—
807#386—111no—
808#386—111no—
809#386—111no—
810#385—111no—
811#385—111no—
812#385—111no—
813#385—111no—
814#385—111no—
815#385—111no—
816#385—111no—
817#385—111no—
818#384—111no—
819#382C2×D1111yescharacteristic
820#380—111no—
821#380—111no—
822#380—111no—
823#380—111no—
824#380—111no—
825#380—111no—
826C4×C4⋊C4—111no—
827C4×C4⋊C4—111no—
828C4×C4⋊C4C2×D1111yescharacteristic
829C4×C22⋊C4—111no—
830C4×C22⋊C4—111no—
831C4×C22⋊C4—111no—
832C4×C22⋊C4—111no—
833#376C2×D1111yescharacteristic
834C22×C11—41no—
835C22×C11—41no—
836C22×C11—41no—
837C22×C11—41no—
838C22×C11—41no—
839C22×C11—41no—
840C22×C11—41no—
841C22×C11C22×#4111yescharacteristic
842C22×C11C2×H(5,𝔽2)11yescharacteristic
843C22×C11C2×H(5,𝔽2)11yescharacteristic
844C22×C11C2×2−1+411yescharacteristic
845C22×C11#58511yescharacteristic
846C22×C11#58511yescharacteristic
847C22×C11#58511yescharacteristic
848C2×D11—22no—
849C2×D11—22no—
850C2×D11—22no—
851C2×D11—41no—
852C2×D11—41no—
853C2×D11—41no—
854C2×D11—41no—
855C2×D11—41no—
856C2×D11—41no—
857C2×D11—41no—
858C2×D11—41no—
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—
869C4×C11—22no—
870C4×C11—22no—
871C4×C11—41no—
872C4×C11—41no—
873C4×C11—41no—
874C4×C11—41no—
875C4×C11—41no—
876C4×C11—41no—
877C4×C11—41no—
878C4×C11—41no—
879C4×C11—41no—
880C4×C11—41no—
881C4×C11—41no—
882C4×C11—41no—
883Dic11—22no—
884Dic11—22no—
885Dic11—22no—
886Dic11—41no—
887Dic11—41no—
888Dic11—41no—
889Dic11—41no—
890Dic11—41no—
891Dic11—41no—
892Dic11—41no—
893Dic11—41no—
894Dic11—41no—
895Dic11—41no—
896C22×Q8—111no—
897C22×Q8—111no—
898C22×D4—111no—
899C22×D4—111no—
900C22×D4—111no—
901C22×D4—111no—
902C22×D4—111no—
903C22×D4—111no—
904C23×C4—111no—
905C23×C4—111no—
906C23×C4—111no—
907C23×C4—111no—
908C23×C4—111no—
909C23×C4—111no—
910C4⋊Q8—442no—
911#126—442no—
912#126—442no—
913#124—442no—
914#123—224no—
915#123—224no—
916#123—442no—
917#123—442no—
918C22⋊Q8—442no—
919C22⋊Q8—442no—
920C22⋊Q8—442no—
921#121—442no—
922C4×D4—224no—
923#117—442no—
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⋊C4C22×D1111yescharacteristic
954C2×C4⋊C4C22×D1111yescharacteristic
955C2×C4⋊C4C22×D1111yescharacteristic
956C2×C4⋊C4C22×D1111yescharacteristic
957C2×C4⋊C4C22×D1111yescharacteristic
958C2×C4⋊C4C22×D1111yescharacteristic
959C2×C4⋊C4C22×D1111yescharacteristic
960C2×C4⋊C4C22×D1111yescharacteristic
961C2×C4⋊C4C22×D1111yescharacteristic
962C2×C22⋊C4—111no—
963C2×C22⋊C4—111no—
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⋊C4C22×D1111yescharacteristic
998C2×C22⋊C4C22×D1111yescharacteristic
999C2×C22⋊C4C22×D1111yescharacteristic
1000C2×C22⋊C4C22×D1111yescharacteristic
1001C2×C22⋊C4C22×D1111yescharacteristic
1002C2×C22⋊C4C22×D1111yescharacteristic
1003C2×C22⋊C4C22×D1111yescharacteristic
1004C2×C42—111no—
1005C2×C42—111no—
1006C2×C42—111no—
1007C2×C42—111no—
1008C2×C42—111no—
1009C2×C42—111no—
1010C2×C42—111no—
1011C2×C42—111no—
1012C2×C42—442no—
1013C2×C42C22×D1111yescharacteristic
1014C2×C42C22×D1111yescharacteristic
1015C2×C42C22×D1111yescharacteristic
1016C2×C42C22×D1111yescharacteristic
1017C2×C42C22×D1111yescharacteristic
1018#95—111no—
1019#95—111no—
1020#95—111no—
1021#95—111no—
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#95C22×D1111yescharacteristic
1053#95C22×D1111yescharacteristic
1054#95C22×D1111yescharacteristic
1055#95C22×D1111yescharacteristic
1056#95C22×D1111yescharacteristic
1057#95C22×D1111yescharacteristic
1058#95C22×D1111yescharacteristic
1059#95C22×D1111yescharacteristic
1060#95C22×D1111yescharacteristic
1061#95C22×D1111yescharacteristic
1062#95C22×D1111yescharacteristic
1063#95C22×D1111yescharacteristic
1064#95C22×D1111yescharacteristic
1065#95C22×D1111yescharacteristic
1066C2×C11—81no—
1067C2×C11#345511yescharacteristic
1068C2×C11#350511yescharacteristic
1069C2×C11#351111yescharacteristic
1070C2×C11#353511yescharacteristic
1071C2×C11#354211yescharacteristic
1072C2×C11#355711yescharacteristic
1073C2×C11#356211yescharacteristic
1074D11—42no—
1075D11—81no—
1076D11—81no—
1077C24—111no—
1078C24—111no—
1079C24—111no—
1080C24C23×D1111yescharacteristic
1081C2×Q8—222no—
1082C2×Q8—222no—
1083C2×Q8—441no—
1084C2×Q8—441no—
1085C2×Q8—441no—
1086C2×Q8—441no—
1087C2×D4—222no—
1088C2×D4—222no—
1089C2×D4—222no—
1090C2×D4—222no—
1091C2×D4—441no—
1092C2×D4—441no—
1093C2×D4—441no—
1094C2×D4—441no—
1095C2×D4—441no—
1096C2×D4—441no—
1097C2×D4—441no—
1098C2×D4—441no—
1099C2×D4—441no—
1100C2×D4—441no—
1101C2×D4—441no—
1102C2×D4—441no—
1103C2×D4—441no—
1104C2×D4—441no—
1105C22×C4—111no—
1106C22×C4—111no—
1107C22×C4—111no—
1108C22×C4—114no—
1109C22×C4—111no—
1110C22×C4—111no—
1111C22×C4—111no—
1112C22×C4—111no—
1113C22×C4—111no—
1114C22×C4—111no—
1115C22×C4—111no—
1116C22×C4—111no—
1117C22×C4—111no—
1118C22×C4—111no—
1119C22×C4—222no—
1120C22×C4—222no—
1121C22×C4—222no—
1122C22×C4—222no—
1123C22×C4—441no—
1124C22×C4—441no—
1125C22×C4—441no—
1126C22×C4—441no—
1127C22×C4—441no—
1128C22×C4—441no—
1129C22×C4—441no—
1130C22×C4—441no—
1131C22×C4—441no—
1132C22×C4—441no—
1133C22×C4—441no—
1134C22×C4—441no—
1135C22×C4—441no—
1136C22×C4C23×D1111yescharacteristic
1137C22×C4C23×D1111yescharacteristic
1138C22×C4C23×D1111yescharacteristic
1139C22×C4C23×D1111yescharacteristic
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
1150C4⋊C4—22no—
1151C4⋊C4—22no—
1152C4⋊C4—41no—
1153C4⋊C4—41no—
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—222no—
1166C4⋊C4—222no—
1167C4⋊C4—222no—
1168C4⋊C4—222no—
1169C4⋊C4—222no—
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—
1188C22⋊C4—22no—
1189C22⋊C4—22no—
1190C22⋊C4—41no—
1191C22⋊C4—41no—
1192C22⋊C4—41no—
1193C22⋊C4—41no—
1194C22⋊C4—41no—
1195C22⋊C4—222no—
1196C22⋊C4—222no—
1197C22⋊C4—222no—
1198C22⋊C4—222no—
1199C22⋊C4—222no—
1200C22⋊C4—222no—
1201C22⋊C4—222no—
1202C22⋊C4—222no—
1203C22⋊C4—222no—
1204C22⋊C4—222no—
1205C22⋊C4—222no—
1206C22⋊C4—222no—
1207C22⋊C4—222no—
1208C22⋊C4—441no—
1209C22⋊C4—441no—
1210C22⋊C4—441no—
1211C22⋊C4—441no—
1212C22⋊C4—441no—
1213C22⋊C4—441no—
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—
1230C42—22no—
1231C42—22no—
1232C42—41no—
1233C42—41no—
1234C42—41no—
1235C42—222no—
1236C42—441no—
1237C42—441no—
1238C42—441no—
1239C42—441no—
1240C42—441no—
1241C42—441no—
1242C42—441no—
1243C11#3676711yescharacteristic, complemented, Sylow
1244C23—21no—
1245C23—21no—
1246C23—21no—
1247C23—21no—
1248C23—21no—
1249C23—21no—
1250C23—21no—
1251C23—112no—
1252C23—221no—
1253C23—221no—
1254C23—221no—
1255C23—221no—
1256C23—221no—
1257C23—221no—
1258C23—221no—
1259C23—221no—
1260C23—221no—
1261C23—221no—
1262C23—221no—
1263C23—221no—
1264C23—221no—
1265C23—221no—
1266C23—221no—
1267C23—221no—
1268C23—221no—
1269C23—221no—
1270C23—221no—
1271C23—221no—
1272C23C24×D1111yescharacteristic
1273Q8—882no—
1274Q8—882no—
1275D4—444no—
1276D4—882no—
1277D4—882no—
1278D4—882no—
1279D4—882no—
1280D4—882no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
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—112no—
1322C2×C4—112no—
1323C2×C4—112no—
1324C2×C4—221no—
1325C2×C4—221no—
1326C2×C4—221no—
1327C2×C4—221no—
1328C2×C4—221no—
1329C2×C4—221no—
1330C2×C4—221no—
1331C2×C4—221no—
1332C2×C4—221no—
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—444no—
1361C2×C4—444no—
1362C2×C4—444no—
1363C2×C4—444no—
1364C2×C4—882no—
1365C2×C4—882no—
1366C2×C4#41×D1112yes—
1367C2×C4#6704212yes—
1368C22—41no—
1369C22—41no—
1370C22—41no—
1371C22—41no—
1372C22—41no—
1373C22—41no—
1374C22—41no—
1375C22—222no—
1376C22—222no—
1377C22—222no—
1378C22—441no—
1379C22—441no—
1380C22—441no—
1381C22—441no—
1382C22—441no—
1383C22—441no—
1384C22—441no—
1385C22—441no—
1386C22—441no—
1387C22—441no—
1388C22—441no—
1389C22—441no—
1390C22—441no—
1391C22—441no—
1392C22—441no—
1393C22—441no—
1394C22—441no—
1395C22—441no—
1396C22C2×#41×D1111yescharacteristic
1397C22C2×#6704211yescharacteristic
1398C22#1062345311yescharacteristic
1399C22#1062345311yescharacteristic
1400C22#1062345311yescharacteristic
1401C22D11×H(5,𝔽2)11yescharacteristic
1402C22D11×2−1+411yescharacteristic
1403C4—22no—
1404C4—22no—
1405C4—41no—
1406C4—41no—
1407C4—41no—
1408C4—41no—
1409C4—41no—
1410C4—41no—
1411C4—41no—
1412C4—41no—
1413C4—41no—
1414C4—41no—
1415C4—41no—
1416C4—41no—
1417C4—222no—
1418C4—222no—
1419C4—222no—
1420C4—441no—
1421C4—441no—
1422C4—441no—
1423C4—441no—
1424C4—441no—
1425C4—441no—
1426C4—441no—
1427C4—441no—
1428C4—441no—
1429C4—441no—
1430C2—81no—
1431C2—442no—
1432C2—881no—
1433C2—881no—
1434C2#1308199911yescharacteristic
1435C2#1308245111yescharacteristic
1436C2#1308252111yescharacteristic
1437C2#1308282811yescharacteristic
1438C2#1308293911yescharacteristic
1439C2#1308311211yescharacteristic
1440C2#1308318911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2529C2
prime radical#13075257C2
hypercenter#2529D11
hypocenterC11#36767
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2529

Complements

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

NH ≅ G/Ntype
1. #13076967C2semidirect
2. #13076943C2semidirect
3. #13076547C2semidirect
4. #13076539C2semidirect
5. #13076419C2semidirect
6. #13076299C2semidirect
7. #13076271C2semidirect
8. #13075814C2semidirect
9. #13075726C2semidirect
10. #13075612C2semidirect
11. #13075584C2semidirect
12. #13075530C2semidirect
13. #13075471C2semidirect
14. #13075440C2semidirect
16. #13075159C2semidirect
17. #13075099C2semidirect
18. #13074903C2semidirect
19. #13074465C2semidirect
20. #13074463C2semidirect
21. #13074067C2semidirect
22. #13074051C2semidirect
23. #13073757C2semidirect
24. #13073717C2semidirect
25. #13073442C2semidirect
26. #13072854C2semidirect
27. #13072717C2semidirect
28. #13071404C2semidirect
29. #13071400C2semidirect
30. #13071060C2semidirect
31. C11×#2529C2semidirect
549. #2529D11semidirect
1243. C11#36767semidirect

Maximal subgroups

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

subgroupindex
#130769672
#130769432
#130765472
#130765392
#130764192
#130762992
#130762712
#130758142
#130757262
#130756122
#130755842
#130755302
#130754712
#130754402
#130752572
#130751592
#130750992
#130749032
#130744652
#130744632
#130740672
#130740512
#130737572
#130737172
#130734422
#130728542
#130727172
#130714042
#130714002
#130710602
C11×#25292
#3676711