Finite Group Databasebeta

← #14927316

Subgroups — #14927316

Order 2816.

1872 conjugacy classes of subgroups.

The subgroup lattice has 1474 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13077000C211yesmaximal, characteristic, complemented
2#13076982C211yesmaximal, characteristic, complemented
3#13076965C211yesmaximal, characteristic, complemented
4#13076943C211yesmaximal, characteristic, complemented
5#13074685C211yesmaximal, characteristic, complemented
6#13074683C211yesmaximal, characteristic, complemented
7#13074465C211yesmaximal, characteristic, complemented
8#13074463C211yesmaximal, characteristic, complemented
9#13074127C211yesmaximal, characteristic, complemented
10#13074119C211yesmaximal, characteristic, complemented
11#13073767C211yesmaximal, characteristic, complemented
12#13073759C211yesmaximal, characteristic, complemented
13#13073142C211yesmaximal, characteristic, complemented
14#13073076C211yesmaximal, characteristic, complemented
15#13073015C211yesmaximal, characteristic, complemented
16#13072912C211yesmaximal, characteristic, complemented
17#13072659C211yesmaximal, characteristic, complemented
18#13072651C211yesmaximal, characteristic, complemented
19#13072611C211yesmaximal, characteristic, complemented
20#13072609C211yesmaximal, characteristic, complemented
21#13072465C211yesmaximal, characteristic, complemented
22#13072304C211yesmaximal, characteristic, complemented
23#13072107C211yesmaximal, characteristic, complemented
24#13072033C211yesmaximal, characteristic
25#13071408C211yesmaximal, characteristic, complemented
26#13071400C211yesmaximal, characteristic, complemented
27#13071367C211yesmaximal, characteristic, complemented
28C4×#66937C211yesmaximal, characteristic, complemented
29#13071096C211yesmaximal, characteristic, complemented
30C4×#66946C211yesmaximal, characteristic, complemented
31C11×#2332C211yesmaximal, characteristic, complemented
32C2×C11×C22⋊Q8C2211yescharacteristic
33C2×#66999C2211yescharacteristic
34C2×#66997C2211yescharacteristic
35C2×C4×C22⋊D11C2211yescharacteristic
36C2×C4×C22⋊D11C2211yescharacteristic
37C2×#66951C2211yescharacteristic
38C2×#66950C2211yescharacteristic
39C2×#66949C2211yescharacteristic
40C2×#66947C2211yescharacteristic
41C2×#66946C2211yescharacteristic
42C2×#66946C2211yescharacteristic
43C2×#66937C2211yescharacteristic
44C2×#66937C2211yescharacteristic
45C2×#66936C2211yescharacteristic
46C2×#66932C2211yescharacteristic
47C2×C4×D44C2211yescharacteristic
48C2×C4×D44C2211yescharacteristic
49C2×#66925C2211yescharacteristic
50C2×#66925C2211yescharacteristic
51C2×C42×D11C2211yescharacteristic
52C2×C42×D11C2211yescharacteristic
53C11×#391C2211yescharacteristic
54C11×#391C2211yescharacteristic
55C11×#388C2211yescharacteristic
56C11×#388C2211yescharacteristic
57C11×#388C2211yescharacteristic
58C11×#388C2211yescharacteristic
59C11×#387C2211yescharacteristic
60C11×#387C2211yescharacteristic
61C11×#387C2211yescharacteristic
62C11×#387C2211yescharacteristic
63C11×#381C2211yescharacteristic
64C4×C11×C4⋊C4C2211yescharacteristic
65C4×C11×C4⋊C4C2211yescharacteristic
66C4×C11×C22⋊C4C2211yescharacteristic
67#10622844C2211yescharacteristic
68#10622844C2211yescharacteristic
69#10622826C2211yescharacteristic
70#10622823C2211yescharacteristic
71#10622607C2211yescharacteristic
72#10622607C2211yescharacteristic
73#10622606C2211yescharacteristic
74#10622604C2211yescharacteristic
75#10622604C2211yescharacteristic
76#10622603C2211yescharacteristic
77#10622603C2211yescharacteristic
78#10622602C2211yescharacteristic
79#10622602C2211yescharacteristic
80#10622602C2211yescharacteristic
81#10622597C2211yescharacteristic
82#10622594C2211yescharacteristic
83#10622594C2211yescharacteristic
84#10622591C2211yescharacteristic
85#10622591C2211yescharacteristic
86#10622589C2211yescharacteristic
87C4⋊C4×Dic11C2211yescharacteristic
88C4⋊C4×Dic11C2211yescharacteristic
89#10622585C2211yescharacteristic
90#10622585C2211yescharacteristic
91#10622585C2211yescharacteristic
92#10622585C2211yescharacteristic
93#10622574C2211yescharacteristic
94#10622574C2211yescharacteristic
95#10622574C2211yescharacteristic
96#10622573C2211yescharacteristic
97#10622572C2211yescharacteristic
98#10622570C2211yescharacteristic
99#10622570C2211yescharacteristic
100#10622570C2211yescharacteristic
101#10622570C2211yescharacteristic
102#10622570C2211yescharacteristic
103#10622569C2211yescharacteristic
104#10622569C2211yescharacteristic
105#10622565C2211yescharacteristic
106#10622564C2211yescharacteristic
107#10622564C2211yescharacteristic
108#10622561C2211yescharacteristic
109#10622560C2211yescharacteristic
110#10622557C2211yescharacteristic
111#10622557C2211yescharacteristic
112#10622557C2211yescharacteristic
113#10622553C2211yescharacteristic
114#10622553C2211yescharacteristic
115#10622553C2211yescharacteristic
116#10622553C2211yescharacteristic
117#10622553C2211yescharacteristic
118#10622552C2211yescharacteristic
119C4×(C2×D11)⋊C4C2211yescharacteristic
120C4×(C2×D11)⋊C4C2211yescharacteristic
121C4×(C2×D11)⋊C4C2211yescharacteristic
122C4×C4⋊Dic11C2211yescharacteristic
123#10622546C2211yescharacteristic
124#10622546C2211yescharacteristic
125C4×Dic11⋊C4C2211yescharacteristic
126C4×Dic11⋊C4C2211yescharacteristic
127C4×Dic11⋊C4C2211yescharacteristic
128C42×Dic11C2211yescharacteristic
129#10622542C2211yescharacteristic
130#10622541C2211yescharacteristic
131#10622289C2211yescharacteristic
132#10622288C2211yescharacteristic
133#10622288C2211yescharacteristic
134#10622287C2211yescharacteristic
135#10622287C2211yescharacteristic
136#10622286C2211yescharacteristic
137#10622285C2211yescharacteristic
138#10622285C2211yescharacteristic
139#10622285C2211yescharacteristic
140#10622285C2211yescharacteristic
141#10622284C2211yescharacteristic
142#10622283C2211yescharacteristic
143#10622283C2211yescharacteristic
144#10622283C2211yescharacteristic
145#10622283C2211yescharacteristic
146#10622282C2211yescharacteristic
147#10622282C2211yescharacteristic
148#10622281C2211yescharacteristic
149#10622281C2211yescharacteristic
150#10622280C2211yescharacteristic
151#10622280C2211yescharacteristic
152#10622280C2211yescharacteristic
153#10622280C2211yescharacteristic
154#10622280C2211yescharacteristic
155#10622280C2211yescharacteristic
156#10622279C2211yescharacteristic
157#10622279C2211yescharacteristic
158#10622279C2211yescharacteristic
159#10622279C2211yescharacteristic
160#10622278C2211yescharacteristic
161#10622278C2211yescharacteristic
162#10622278C2211yescharacteristic
163#10622277C2211yescharacteristic
164C11⋊#401C2211yescharacteristic
165C11⋊#401C2211yescharacteristic
166#10622274C2211yescharacteristic
167#10622274C2211yescharacteristic
168#10622270C2211yescharacteristic
169#10622268C2211yescharacteristic
170#10622267C2211yescharacteristic
171#10622267C2211yescharacteristic
172#10622266C2211yescharacteristic
173#10622265C2211yescharacteristic
174#10622265C2211yescharacteristic
175#10622263C2211yescharacteristic
176#10622263C2211yescharacteristic
177#10622260C2211yescharacteristic
178#10622260C2211yescharacteristic
179#10622260C2211yescharacteristic
180#10622260C2211yescharacteristic
181#10622260C2211yescharacteristic
182#10622260C2211yescharacteristic
183#10622260C2211yescharacteristic
184#10622260C2211yescharacteristic
185#10622260C2211yescharacteristic
186#10622259C2211yescharacteristic
187C22×Q8×C11C2311yescharacteristic
188C23×C4×C11C2311yescharacteristic
189C22×C22⋊D11C2311yescharacteristic
190C22×C22⋊D11C2311yescharacteristic
191C22×C22⋊D11C2311yescharacteristic
192C22×D44C2311yescharacteristic
193C22×D44C2311yescharacteristic
194C22×D44C2311yescharacteristic
195C22×C4×D11C2311yescharacteristic
196C22×C4×D11C2311yescharacteristic
197C22×C4×D11C2311yescharacteristic
198C22×C4×D11C2311yescharacteristic
199C22×C4×D11C2311yescharacteristic
200C22×C4×D11C2311yescharacteristic
201C22×C4×D11C2311yescharacteristic
202C22×Dic22C2311yescharacteristic
203C11×C22⋊Q8—24no—
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×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×C42×C11C2311yescharacteristic
223C2×C22⋊Dic11C2311yescharacteristic
224C2×C22⋊Dic11C2311yescharacteristic
225C2×C22⋊Dic11C2311yescharacteristic
226C2×C22⋊Dic11C2311yescharacteristic
227C2×C22⋊Dic11C2311yescharacteristic
228#66999—42no—
229#66997—42no—
230C4×C22⋊D11—42no—
231C4×C22⋊D11—42no—
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×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×Dic11⋊C4C2311yescharacteristic
287C2×Dic11⋊C4C2311yescharacteristic
288C2×Dic11⋊C4C2311yescharacteristic
289C2×Dic11⋊C4C2311yescharacteristic
290C2×C4×Dic11C2311yescharacteristic
291C2×C4×Dic11C2311yescharacteristic
292C2×C4×Dic11C2311yescharacteristic
293C2×C4×Dic11C2311yescharacteristic
294C2×C4×Dic11C2311yescharacteristic
295C2×C4×Dic11C2311yescharacteristic
296C2×C4×Dic11C2311yescharacteristic
297C2×C4×Dic11C2311yescharacteristic
298C2×C4×Dic11C2311yescharacteristic
299C2×C4×Dic11C2311yescharacteristic
300C2×C4×Dic11C2311yescharacteristic
301C2×C4×Dic11C2311yescharacteristic
302C2×C4×Dic11C2311yescharacteristic
303#66951—42no—
304#66950—42no—
305#66949—24no—
306#66947—24no—
307#66946—24no—
308#66946—24no—
309#66937—24no—
310#66937—42no—
311#66936—24no—
312#66932—42no—
313C4×D44—24no—
314C4×D44—42no—
315#66925—24no—
316#66925—42no—
317C42×D11—42no—
318C42×D11—42no—
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
357C11⋊#95C2311yescharacteristic
358C11⋊#95C2311yescharacteristic
359C11⋊#95C2311yescharacteristic
360C11⋊#95C2311yescharacteristic
361C11⋊#95C2311yescharacteristic
362C11⋊#95C2311yescharacteristic
363#35037—111nomaximal, Sylow
364C24×C11C2411yescharacteristic
365C23×D11C2411yescharacteristic
366C23×D11C2411yescharacteristic
367C23×D11C2411yescharacteristic
368C2×Q8×C11—22no—
369C2×Q8×C11—41no—
370C2×Q8×C11—41no—
371C22×C4×C11—22no—
372C22×C4×C11—41no—
373C22×C4×C11—41no—
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
386C22×C4×C11C2411yescharacteristic
387C22×C4×C11C2411yescharacteristic
388C2×C22⋊D11—22no—
389C2×C22⋊D11—22no—
390C2×C22⋊D11—22no—
391C2×C22⋊D11—22no—
392C2×C22⋊D11—22no—
393C2×C22⋊D11—41no—
394C2×C22⋊D11—41no—
395C2×C22⋊D11—41no—
396C2×C22⋊D11—41no—
397C22×Dic11C2411yescharacteristic
398C22×Dic11C2411yescharacteristic
399C22×Dic11C2411yescharacteristic
400C22×Dic11C2411yescharacteristic
401C22×Dic11C2411yescharacteristic
402C22×Dic11C2411yescharacteristic
403C22×Dic11C2411yescharacteristic
404C22×Dic11C2411yescharacteristic
405C22×Dic11C2411yescharacteristic
406C22×Dic11C2411yescharacteristic
407C22×Dic11C2411yescharacteristic
408C22×Dic11C2411yescharacteristic
409C22×Dic11C2411yescharacteristic
410C2×D44—22no—
411C2×D44—22no—
412C2×D44—22no—
413C2×D44—22no—
414C2×D44—22no—
415C2×D44—41no—
416C2×D44—41no—
417C2×D44—41no—
418C2×D44—41no—
419C2×C4×D11—22no—
420C2×C4×D11—22no—
421C2×C4×D11—22no—
422C2×C4×D11—22no—
423C2×C4×D11—22no—
424C2×C4×D11—22no—
425C2×C4×D11—22no—
426C2×C4×D11—22no—
427C2×C4×D11—22no—
428C2×C4×D11—22no—
429C2×C4×D11—22no—
430C2×C4×D11—41no—
431C2×C4×D11—41no—
432C2×C4×D11—41no—
433C2×C4×D11—41no—
434C2×C4×D11—41no—
435C2×C4×D11—41no—
436C2×C4×D11—41no—
437C2×C4×D11—41no—
438C2×C4×D11#4114yes—
439C2×C4×D11#4114yes—
440C2×Dic22—22no—
441C2×Dic22—41no—
442C2×Dic22—41no—
443C11×C4⋊C4—22no—
444C11×C4⋊C4—22no—
445C11×C4⋊C4—22no—
446C11×C4⋊C4—22no—
447C11×C4⋊C4—41no—
448C11×C4⋊C4—41no—
449C11×C4⋊C4#4114yes—
450C11×C22⋊C4—22no—
451C11×C22⋊C4—22no—
452C11×C22⋊C4—22no—
453C11×C22⋊C4—22no—
454C11×C22⋊C4—41no—
455C11×C22⋊C4—41no—
456C42×C11—22no—
457C42×C11—22no—
458C42×C11—41no—
459C42×C11—41no—
460C42×C11—41no—
461C42×C11—41no—
462C22⋊Dic11—22no—
463C22⋊Dic11—22no—
464C22⋊Dic11—41no—
465C22⋊Dic11—41no—
466C22⋊Dic11—41no—
467(C2×D11)⋊C4—22no—
468(C2×D11)⋊C4—22no—
469(C2×D11)⋊C4—22no—
470(C2×D11)⋊C4—22no—
471(C2×D11)⋊C4—22no—
472(C2×D11)⋊C4—22no—
473(C2×D11)⋊C4—22no—
474(C2×D11)⋊C4—22no—
475(C2×D11)⋊C4—22no—
476(C2×D11)⋊C4—22no—
477(C2×D11)⋊C4—22no—
478(C2×D11)⋊C4—22no—
479(C2×D11)⋊C4—22no—
480(C2×D11)⋊C4—22no—
481(C2×D11)⋊C4—22no—
482(C2×D11)⋊C4—22no—
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—
492(C2×D11)⋊C4—41no—
493(C2×D11)⋊C4—41no—
494(C2×D11)⋊C4—41no—
495(C2×D11)⋊C4—41no—
496C4⋊Dic11—22no—
497C4⋊Dic11—22no—
498C4⋊Dic11—22no—
499C4⋊Dic11—22no—
500C4⋊Dic11—41no—
501C4⋊Dic11—41no—
502C4⋊Dic11—41no—
503C4⋊Dic11—41no—
504Dic11⋊C4—22no—
505Dic11⋊C4—22no—
506Dic11⋊C4—22no—
507Dic11⋊C4—22no—
508Dic11⋊C4—22no—
509Dic11⋊C4—22no—
510Dic11⋊C4—22no—
511Dic11⋊C4—22no—
512Dic11⋊C4—22no—
513Dic11⋊C4—22no—
514Dic11⋊C4—22no—
515Dic11⋊C4—22no—
516Dic11⋊C4—22no—
517Dic11⋊C4—41no—
518Dic11⋊C4—41no—
519Dic11⋊C4—41no—
520Dic11⋊C4—41no—
521Dic11⋊C4—41no—
522Dic11⋊C4—41no—
523Dic11⋊C4—41no—
524Dic11⋊C4—41no—
525C4×Dic11—22no—
526C4×Dic11—22no—
527C4×Dic11—22no—
528C4×Dic11—22no—
529C4×Dic11—22no—
530C4×Dic11—22no—
531C4×Dic11—22no—
532C4×Dic11—22no—
533C4×Dic11—41no—
534C4×Dic11—41no—
535C4×Dic11—41no—
536C4×Dic11—41no—
537C4×Dic11—41no—
538#2864—111no—
539#2860—111no—
540#2857—111no—
541#2854—111no—
542#2653—111no—
543#2653—111no—
544#2630—111no—
545#2630—111no—
546#2594—111no—
547#2594—111no—
548#2560—111no—
549#2560—111no—
550#2507—111no—
551#2500—111no—
552#2494—111no—
553#2485—111no—
554#2466—111no—
555#2466—111no—
556#2463—111no—
557#2463—111no—
558#2452—111no—
559#2439—111no—
560#2420—111no—
561#2414—111no—
562#2335—111no—
563#2335—111no—
564#2332—111no—
565#2332D1111yescharacteristic, complemented
566C4×#121—111no—
567#2296—111no—
568C42×D4—111no—
569C23×C11—21no—
570C23×C11—21no—
571C23×C11—21no—
572C23×C11—21no—
573C23×C11—21no—
574C23×C11—21no—
575C23×C11—21no—
576C23×C11C2511yescharacteristic
577C22×D11—21no—
578C22×D11—21no—
579C22×D11—21no—
580C22×D11—21no—
581C22×D11—21no—
582C22×D11—21no—
583C22×D11—21no—
584C22×D11—21no—
585C22×D11—21no—
586C22×D11—21no—
587C22×D11—21no—
588C22×D11—21no—
589C22×D11—21no—
590C22×D11—21no—
591C22×D11—21no—
592C22×D11—21no—
593C22×D11—21no—
594C22×D11—21no—
595C22×D11—21no—
596C22×D11C2×#4112yes—
597C22×D11C2×#4112yes—
598Q8×C11—82no—
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—21no—
634C2×C4×C11—21no—
635C2×C4×C11—21no—
636C2×C4×C11—82no—
637C2×C4×C11C2×#4112yes—
638C2×C4×C11C2×#4112yes—
639C2×C4×C11C2×#4112yes—
640C2×C4×C11C2×#4112yes—
641C2×C4×C11C2×#4112yes—
642C22⋊D11—44no—
643C22⋊D11—44no—
644C22⋊D11—82no—
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—21no—
678C2×Dic11—21no—
679C2×Dic11C2×#4112yes—
680C2×Dic11C2×#4112yes—
681C2×Dic11H(5,𝔽2)12yes—
682C2×Dic11H(5,𝔽2)12yes—
683C2×Dic112−1+412yes—
684D44—28no—
685D44—44no—
686D44—82no—
687C4×D11—28no—
688C4×D11—44no—
689C4×D11—44no—
690C4×D11—44no—
691C4×D11—44no—
692C4×D11—44no—
693C4×D11—82no—
694Dic22—82no—
695C2×C4⋊Q8—111no—
696C2×#126—111no—
697C2×#126—111no—
698C2×#123—111no—
699C2×#123—111no—
700C2×C22⋊Q8—111no—
701C2×C22⋊Q8—111no—
702C2×C22⋊Q8—111no—
703C2×C22⋊Q8C2×D1111yescharacteristic
704C2×#121—111no—
705C2×#121—111no—
706C2×C4×D4—111no—
707C2×C4×D4—111no—
708C2×C4×D4—111no—
709C2×C4×D4—111no—
710C2×C4×D4—111no—
711C2×C4×D4—111no—
712C2×#117—111no—
713C2×#117—111no—
714C22×C42—111no—
715C22×C42—111no—
716#401—111no—
717#401—111no—
718#398—111no—
719#398—111no—
720#398—111no—
721#398—111no—
722#397—111no—
723#397—111no—
724#397—111no—
725#397—111no—
726#397—111no—
727#397—111no—
728#396—111no—
729#396—111no—
730#396—111no—
731#396—111no—
732#394—111no—
733#394—111no—
734#394—111no—
735#394—111no—
736#394—111no—
737#394—111no—
738#394—111no—
739#394—111no—
740#394—111no—
741#394—111no—
742#393—111no—
743#393—111no—
744#393—111no—
745#393—111no—
746#392—111no—
747#392—111no—
748#391—111no—
749#391—111no—
750#391C2×D1111yescharacteristic
751#391C2×D1111yescharacteristic
752#390—111no—
753#390—111no—
754#390—111no—
755#390—111no—
756#390—111no—
757#390—111no—
758#389—111no—
759#389—111no—
760#389—111no—
761#389—111no—
762#389—111no—
763#389—111no—
764#389—111no—
765#389—111no—
766#389—111no—
767#389—111no—
768#389—111no—
769#389—111no—
770#389—111no—
771#389—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#388—111no—
784#388—111no—
785#388—111no—
786#388—111no—
787#388—111no—
788#388—111no—
789#388—111no—
790#388C2×D1111yescharacteristic
791#388C2×D1111yescharacteristic
792#388C2×D1111yescharacteristic
793#388C2×D1111yescharacteristic
794#387—111no—
795#387—111no—
796#387—111no—
797#387—111no—
798#387—111no—
799#387—111no—
800#387—111no—
801#387—111no—
802#387—111no—
803#387—111no—
804#387—111no—
805#387—111no—
806#387C2×D1111yescharacteristic
807#387C2×D1111yescharacteristic
808#387C2×D1111yescharacteristic
809#387C2×D1111yescharacteristic
810#386—111no—
811#386—111no—
812#386—111no—
813#386—111no—
814#386—111no—
815#386—111no—
816#385—111no—
817#385—111no—
818#385—111no—
819#385—111no—
820#385—111no—
821#385—111no—
822#384—111no—
823#382—111no—
824#382—111no—
825#381—111no—
826#381C2×D1111yescharacteristic
827#380—111no—
828#380—111no—
829#380—111no—
830#380—111no—
831#380—111no—
832#380—111no—
833C4×C4⋊C4—111no—
834C4×C4⋊C4—111no—
835C4×C4⋊C4—111no—
836C4×C4⋊C4—111no—
837C4×C4⋊C4—111no—
838C4×C4⋊C4—111no—
839C4×C4⋊C4C2×D1111yescharacteristic
840C4×C4⋊C4C2×D1111yescharacteristic
841C4×C22⋊C4—111no—
842C4×C22⋊C4—111no—
843C4×C22⋊C4—111no—
844C4×C22⋊C4—111no—
845C4×C22⋊C4—111no—
846C4×C22⋊C4—111no—
847C4×C22⋊C4—111no—
848C4×C22⋊C4C2×D1111yescharacteristic
849C43—111no—
850C22×C11—41no—
851C22×C11—41no—
852C22×C11—41no—
853C22×C11—41no—
854C22×C11—41no—
855C22×C11—41no—
856C22×C11—41no—
857C22×C11C22×#4111yescharacteristic
858C22×C11C22×#4111yescharacteristic
859C22×C11C22×#4111yescharacteristic
860C22×C11C2×H(5,𝔽2)11yescharacteristic
861C22×C11C2×H(5,𝔽2)11yescharacteristic
862C22×C11C2×2−1+411yescharacteristic
863C22×C11#58511yescharacteristic
864C2×D11—22no—
865C2×D11—22no—
866C2×D11—22no—
867C2×D11—22no—
868C2×D11—22no—
869C2×D11—22no—
870C2×D11—41no—
871C2×D11—41no—
872C2×D11—41no—
873C2×D11—41no—
874C2×D11—41no—
875C2×D11—41no—
876C2×D11—41no—
877C2×D11—41no—
878C2×D11—41no—
879C2×D11—41no—
880C2×D11—41no—
881C2×D11—41no—
882C2×D11—41no—
883C2×D11—41no—
884C2×D11—41no—
885C4×C11—22no—
886C4×C11—22no—
887C4×C11—22no—
888C4×C11—22no—
889C4×C11—22no—
890C4×C11—41no—
891C4×C11—41no—
892C4×C11—41no—
893C4×C11—41no—
894C4×C11—41no—
895C4×C11—41no—
896C4×C11—41no—
897C4×C11—41no—
898C4×C11—41no—
899Dic11—22no—
900Dic11—22no—
901Dic11—41no—
902Dic11—41no—
903Dic11—41no—
904Dic11—41no—
905Dic11—41no—
906Dic11—41no—
907Dic11—41no—
908Dic11—41no—
909Dic11—41no—
910Dic11—41no—
911Dic11#53914yes—
912C22×Q8—111no—
913C22×Q8C22×D1111yescharacteristic
914C22×D4—111no—
915C22×D4—111no—
916C22×D4—111no—
917C22×D4—111no—
918C22×D4—111no—
919C22×D4—111no—
920C23×C4—111no—
921C23×C4—111no—
922C23×C4—111no—
923C23×C4—111no—
924C23×C4—111no—
925C23×C4—111no—
926C23×C4—111no—
927C23×C4C22×D1111yescharacteristic
928C4⋊Q8—442no—
929#126—442no—
930#126—442no—
931#123—224no—
932#123—224no—
933C22⋊Q8—24no—
934C22⋊Q8—224no—
935C22⋊Q8—442no—
936C22⋊Q8—442no—
937#121—224no—
938#121—442no—
939C4×D4—224no—
940C4×D4—224no—
941C4×D4—224no—
942C4×D4—442no—
943C4×D4—442no—
944C4×D4—442no—
945#117—224no—
946#117—442no—
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—111no—
958C2×C4⋊C4—111no—
959C2×C4⋊C4—111no—
960C2×C4⋊C4—111no—
961C2×C4⋊C4—111no—
962C2×C4⋊C4—111no—
963C2×C4⋊C4—111no—
964C2×C4⋊C4—111no—
965C2×C4⋊C4—111no—
966C2×C4⋊C4—111no—
967C2×C4⋊C4—111no—
968C2×C4⋊C4—111no—
969C2×C4⋊C4—111no—
970C2×C4⋊C4—111no—
971C2×C4⋊C4—111no—
972C2×C4⋊C4—111no—
973C2×C4⋊C4—111no—
974C2×C4⋊C4—111no—
975C2×C4⋊C4—111no—
976C2×C4⋊C4C22×D1111yescharacteristic
977C2×C4⋊C4C22×D1111yescharacteristic
978C2×C4⋊C4C22×D1111yescharacteristic
979C2×C4⋊C4C22×D1111yescharacteristic
980C2×C4⋊C4C22×D1111yescharacteristic
981C2×C4⋊C4C22×D1111yescharacteristic
982C2×C4⋊C4C22×D1111yescharacteristic
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⋊C4—111no—
1006C2×C22⋊C4—111no—
1007C2×C22⋊C4—111no—
1008C2×C22⋊C4—111no—
1009C2×C22⋊C4—111no—
1010C2×C22⋊C4—111no—
1011C2×C22⋊C4—111no—
1012C2×C22⋊C4—111no—
1013C2×C22⋊C4—111no—
1014C2×C22⋊C4—111no—
1015C2×C22⋊C4—111no—
1016C2×C22⋊C4—111no—
1017C2×C22⋊C4C22×D1111yescharacteristic
1018C2×C22⋊C4C22×D1111yescharacteristic
1019C2×C22⋊C4C22×D1111yescharacteristic
1020C2×C22⋊C4C22×D1111yescharacteristic
1021C2×C22⋊C4C22×D1111yescharacteristic
1022C2×C22⋊C4C22×D1111yescharacteristic
1023C2×C42—111no—
1024C2×C42—111no—
1025C2×C42—111no—
1026C2×C42—111no—
1027C2×C42—111no—
1028C2×C42—111no—
1029C2×C42—111no—
1030C2×C42—111no—
1031C2×C42—111no—
1032C2×C42—111no—
1033C2×C42—111no—
1034C2×C42—111no—
1035C2×C42—111no—
1036C2×C42—442no—
1037C2×C42—442no—
1038C2×C42C22×D1111yescharacteristic
1039C2×C42C22×D1111yescharacteristic
1040C2×C42C22×D1111yescharacteristic
1041C2×C42C22×D1111yescharacteristic
1042C2×C42C22×D1111yescharacteristic
1043C2×C42C22×D1111yescharacteristic
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#95—111no—
1060#95—111no—
1061#95—111no—
1062#95—111no—
1063#95—111no—
1064#95—111no—
1065#95—111no—
1066#95—111no—
1067#95—111no—
1068#95—111no—
1069#95—111no—
1070#95—111no—
1071#95—111no—
1072#95—111no—
1073#95—111no—
1074#95C22×D1111yescharacteristic
1075#95C22×D1111yescharacteristic
1076#95C22×D1111yescharacteristic
1077#95C22×D1111yescharacteristic
1078#95C22×D1111yescharacteristic
1079#95C22×D1111yescharacteristic
1080#95C22×D1111yescharacteristic
1081#95C22×D1111yescharacteristic
1082#95C22×D1111yescharacteristic
1083#95C22×D1111yescharacteristic
1084#95C22×D1111yescharacteristic
1085#95C22×D1111yescharacteristic
1086#95C22×D1111yescharacteristic
1087#95C22×D1111yescharacteristic
1088C2×C11—81no—
1089C2×C11#344411yescharacteristic
1090C2×C11C2×#53911yescharacteristic
1091C2×C11#346011yescharacteristic
1092C2×C11#350511yescharacteristic
1093C2×C11#351111yescharacteristic
1094C2×C11#351811yescharacteristic
1095C2×C11#351911yescharacteristic
1096D11—42no—
1097D11—42no—
1098D11—81no—
1099C24—111no—
1100C24—111no—
1101C24—111no—
1102C24C23×D1111yescharacteristic
1103C2×Q8—22no—
1104C2×Q8—41no—
1105C2×Q8—41no—
1106C2×Q8—222no—
1107C2×Q8—441no—
1108C2×Q8—441no—
1109C2×D4—222no—
1110C2×D4—222no—
1111C2×D4—222no—
1112C2×D4—222no—
1113C2×D4—222no—
1114C2×D4—222no—
1115C2×D4—222no—
1116C2×D4—222no—
1117C2×D4—222no—
1118C2×D4—222no—
1119C2×D4—441no—
1120C2×D4—441no—
1121C2×D4—441no—
1122C2×D4—441no—
1123C2×D4—441no—
1124C2×D4—441no—
1125C2×D4—441no—
1126C2×D4—441no—
1127C22×C4—22no—
1128C22×C4—41no—
1129C22×C4—41no—
1130C22×C4—111no—
1131C22×C4—111no—
1132C22×C4—111no—
1133C22×C4—114no—
1134C22×C4—114no—
1135C22×C4—111no—
1136C22×C4—111no—
1137C22×C4—111no—
1138C22×C4—111no—
1139C22×C4—111no—
1140C22×C4—111no—
1141C22×C4—111no—
1142C22×C4—111no—
1143C22×C4—111no—
1144C22×C4—111no—
1145C22×C4—222no—
1146C22×C4—222no—
1147C22×C4—222no—
1148C22×C4—222no—
1149C22×C4—222no—
1150C22×C4—222no—
1151C22×C4—222no—
1152C22×C4—222no—
1153C22×C4—222no—
1154C22×C4—222no—
1155C22×C4—222no—
1156C22×C4—441no—
1157C22×C4—441no—
1158C22×C4—441no—
1159C22×C4—441no—
1160C22×C4—441no—
1161C22×C4—441no—
1162C22×C4—441no—
1163C22×C4—441no—
1164C22×C4C23×D1111yescharacteristic
1165C22×C4C23×D1111yescharacteristic
1166C22×C4C23×D1111yescharacteristic
1167C22×C4C23×D1111yescharacteristic
1168C22×C4C23×D1111yescharacteristic
1169C22×C4C23×D1111yescharacteristic
1170C22×C4C23×D1111yescharacteristic
1171C22×C4C23×D1111yescharacteristic
1172C22×C4C23×D1111yescharacteristic
1173C22×C4C23×D1111yescharacteristic
1174C22×C4C23×D1111yescharacteristic
1175C22×C4C23×D1111yescharacteristic
1176C22×C4C23×D1111yescharacteristic
1177C22×C4C23×D1111yescharacteristic
1178C4⋊C4—22no—
1179C4⋊C4—22no—
1180C4⋊C4—22no—
1181C4⋊C4—22no—
1182C4⋊C4—41no—
1183C4⋊C4—41no—
1184C4⋊C4—222no—
1185C4⋊C4—222no—
1186C4⋊C4—222no—
1187C4⋊C4—222no—
1188C4⋊C4—222no—
1189C4⋊C4—222no—
1190C4⋊C4—222no—
1191C4⋊C4—222no—
1192C4⋊C4—222no—
1193C4⋊C4—222no—
1194C4⋊C4—222no—
1195C4⋊C4—222no—
1196C4⋊C4—222no—
1197C4⋊C4—222no—
1198C4⋊C4—222no—
1199C4⋊C4—222no—
1200C4⋊C4—222no—
1201C4⋊C4—441no—
1202C4⋊C4—441no—
1203C4⋊C4—441no—
1204C4⋊C4—441no—
1205C4⋊C4—441no—
1206C4⋊C4—441no—
1207C4⋊C4—441no—
1208C4⋊C4—441no—
1209C4⋊C4—441no—
1210C4⋊C4—441no—
1211C4⋊C4—441no—
1212C4⋊C4—441no—
1213C4⋊C4#433914yes—
1214C22⋊C4—22no—
1215C22⋊C4—22no—
1216C22⋊C4—22no—
1217C22⋊C4—22no—
1218C22⋊C4—41no—
1219C22⋊C4—41no—
1220C22⋊C4—222no—
1221C22⋊C4—222no—
1222C22⋊C4—222no—
1223C22⋊C4—222no—
1224C22⋊C4—222no—
1225C22⋊C4—222no—
1226C22⋊C4—222no—
1227C22⋊C4—222no—
1228C22⋊C4—222no—
1229C22⋊C4—222no—
1230C22⋊C4—222no—
1231C22⋊C4—222no—
1232C22⋊C4—222no—
1233C22⋊C4—222no—
1234C22⋊C4—222no—
1235C22⋊C4—222no—
1236C22⋊C4—222no—
1237C22⋊C4—222no—
1238C22⋊C4—441no—
1239C22⋊C4—441no—
1240C22⋊C4—441no—
1241C22⋊C4—441no—
1242C22⋊C4—441no—
1243C22⋊C4—441no—
1244C22⋊C4—441no—
1245C22⋊C4—441no—
1246C22⋊C4—441no—
1247C22⋊C4—441no—
1248C22⋊C4—441no—
1249C22⋊C4—441no—
1250C22⋊C4—441no—
1251C22⋊C4—441no—
1252C22⋊C4—441no—
1253C22⋊C4—441no—
1254C42—22no—
1255C42—22no—
1256C42—41no—
1257C42—41no—
1258C42—41no—
1259C42—41no—
1260C42—222no—
1261C42—222no—
1262C42—222no—
1263C42—222no—
1264C42—222no—
1265C42—222no—
1266C42—222no—
1267C42—222no—
1268C42—441no—
1269C42—441no—
1270C42—441no—
1271C42—441no—
1272C42—441no—
1273C11#3503711yescharacteristic, complemented, Sylow
1274C23—21no—
1275C23—21no—
1276C23—21no—
1277C23—21no—
1278C23—21no—
1279C23—21no—
1280C23—21no—
1281C23—112no—
1282C23—112no—
1283C23—221no—
1284C23—221no—
1285C23—221no—
1286C23—221no—
1287C23—221no—
1288C23—221no—
1289C23—221no—
1290C23—221no—
1291C23—221no—
1292C23—221no—
1293C23—221no—
1294C23—221no—
1295C23—221no—
1296C23—221no—
1297C23—221no—
1298C23—221no—
1299C23—221no—
1300C23—221no—
1301C23—221no—
1302C23C24×D1111yescharacteristic
1303Q8—82no—
1304Q8—882no—
1305D4—228no—
1306D4—444no—
1307D4—444no—
1308D4—444no—
1309D4—882no—
1310D4—882no—
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—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—82no—
1349C2×C4—112no—
1350C2×C4—112no—
1351C2×C4—112no—
1352C2×C4—112no—
1353C2×C4—112no—
1354C2×C4—228no—
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—221no—
1378C2×C4—221no—
1379C2×C4—221no—
1380C2×C4—221no—
1381C2×C4—221no—
1382C2×C4—221no—
1383C2×C4—221no—
1384C2×C4—221no—
1385C2×C4—221no—
1386C2×C4—221no—
1387C2×C4—221no—
1388C2×C4—221no—
1389C2×C4—444no—
1390C2×C4—444no—
1391C2×C4—444no—
1392C2×C4—444no—
1393C2×C4—444no—
1394C2×C4—882no—
1395C2×C4C2×#433912yes—
1396C2×C4C2×#433912yes—
1397C2×C4C2×#433912yes—
1398C2×C4#41×D1112yes—
1399C2×C4#41×D1112yes—
1400C22—41no—
1401C22—41no—
1402C22—41no—
1403C22—41no—
1404C22—41no—
1405C22—41no—
1406C22—41no—
1407C22—222no—
1408C22—222no—
1409C22—222no—
1410C22—222no—
1411C22—222no—
1412C22—222no—
1413C22—441no—
1414C22—441no—
1415C22—441no—
1416C22—441no—
1417C22—441no—
1418C22—441no—
1419C22—441no—
1420C22—441no—
1421C22—441no—
1422C22—441no—
1423C22—441no—
1424C22—441no—
1425C22—441no—
1426C22—441no—
1427C22—441no—
1428C22C22×#433911yescharacteristic
1429C22C2×#41×D1111yescharacteristic
1430C22C2×#41×D1111yescharacteristic
1431C22D11×H(5,𝔽2)11yescharacteristic
1432C22D11×H(5,𝔽2)11yescharacteristic
1433C22D11×2−1+411yescharacteristic
1434C22#1062345711yescharacteristic
1435C4—22no—
1436C4—22no—
1437C4—22no—
1438C4—22no—
1439C4—22no—
1440C4—41no—
1441C4—41no—
1442C4—41no—
1443C4—41no—
1444C4—41no—
1445C4—41no—
1446C4—41no—
1447C4—41no—
1448C4—41no—
1449C4—114no—
1450C4—222no—
1451C4—222no—
1452C4—441no—
1453C4—441no—
1454C4—441no—
1455C4—441no—
1456C4—441no—
1457C4—441no—
1458C4—441no—
1459C4—441no—
1460C4—441no—
1461C4—441no—
1462C2—81no—
1463C2—442no—
1464C2—442no—
1465C2—881no—
1466C2#1308190911yescharacteristic
1467C2D11×#53911yescharacteristic
1468C2#1308203611yescharacteristic
1469C2#1308244811yescharacteristic
1470C2#1308252111yescharacteristic
1471C2#1308262711yescharacteristic
1472C2#1308263811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2332C2
prime radical#13072033C2
hypercenter#2332D11
hypocenterC11#35037
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2332

Complements

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

NH ≅ G/Ntype
1. #13077000C2semidirect
2. #13076982C2semidirect
3. #13076965C2semidirect
4. #13076943C2semidirect
5. #13074685C2semidirect
6. #13074683C2semidirect
7. #13074465C2semidirect
8. #13074463C2semidirect
9. #13074127C2semidirect
10. #13074119C2semidirect
11. #13073767C2semidirect
12. #13073759C2semidirect
13. #13073142C2semidirect
14. #13073076C2semidirect
15. #13073015C2semidirect
16. #13072912C2semidirect
17. #13072659C2semidirect
18. #13072651C2semidirect
19. #13072611C2semidirect
20. #13072609C2semidirect
21. #13072465C2semidirect
22. #13072304C2semidirect
23. #13072107C2semidirect
25. #13071408C2semidirect
26. #13071400C2semidirect
27. #13071367C2semidirect
28. C4×#66937C2semidirect
29. #13071096C2semidirect
30. C4×#66946C2semidirect
31. C11×#2332C2semidirect
565. #2332D11semidirect
1273. C11#35037semidirect

Maximal subgroups

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

subgroupindex
#130770002
#130769822
#130769652
#130769432
#130746852
#130746832
#130744652
#130744632
#130741272
#130741192
#130737672
#130737592
#130731422
#130730762
#130730152
#130729122
#130726592
#130726512
#130726112
#130726092
#130724652
#130723042
#130721072
#130720332
#130714082
#130714002
#130713672
C4×#669372
#130710962
C4×#669462
C11×#23322
#3503711