Finite Group Databasebeta

← #14926544

Subgroups — #14926544

Order 2816.

2078 conjugacy classes of subgroups.

The subgroup lattice has 1542 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076934C211yesmaximal, characteristic, complemented
2#13076934C211yesmaximal, characteristic, complemented
3#13076923C211yesmaximal, characteristic, complemented
4#13076918C211yesmaximal, characteristic, complemented
5#13074422C211yesmaximal, characteristic, complemented
6#13074390C211yesmaximal, characteristic, complemented
7#13074390C211yesmaximal, characteristic, complemented
8#13074351C211yesmaximal, characteristic
9#13073350C211yesmaximal, characteristic, complemented
10#13073344C211yesmaximal, characteristic, complemented
11#13073280C211yesmaximal, characteristic, complemented
12#13073270C211yesmaximal, characteristic, complemented
13#13073268C211yesmaximal, characteristic, complemented
14#13073267C211yesmaximal, characteristic, complemented
15#13073261C211yesmaximal, characteristic, complemented
16#13072670C211yesmaximal, characteristic, complemented
17#13072664C211yesmaximal, characteristic, complemented
18#13072659C211yesmaximal, characteristic, complemented
19#13072653C211yesmaximal, characteristic, complemented
20#13072570C211yesmaximal, characteristic, complemented
21#13072566C211yesmaximal, characteristic, complemented
22#13072557C211yesmaximal, characteristic, complemented
23#13072553C211yesmaximal, characteristic, complemented
24#13071345C211yesmaximal, characteristic, complemented
25#13071315C211yesmaximal, characteristic, complemented
26#13071252C211yesmaximal, characteristic, complemented
27#13071248C211yesmaximal, characteristic, complemented
28C4×#66935C211yesmaximal, characteristic, complemented
29#13071117C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D11C211yesmaximal, characteristic, complemented
31C11×#2517C211yesmaximal, characteristic, complemented
32C23×C4×D11C2211yescharacteristic
33C2×C4×C22⋊D11C2211yescharacteristic
34C2×#66951C2211yescharacteristic, complemented
35C2×#66951C2211yescharacteristic, complemented
36C2×#66950C2211yescharacteristic
37C2×#66948C2211yescharacteristic
38C2×#66946C2211yescharacteristic
39C2×#66946C2211yescharacteristic
40C2×#66942C2211yescharacteristic, complemented
41C2×#66935C2211yescharacteristic
42C2×#66935C2211yescharacteristic
43C2×(C22⋊D11)⋊C4C2211yescharacteristic
44C2×C22⋊C4×D11C2211yescharacteristic
45C2×C22⋊C4×D11C2211yescharacteristic
46C2×#66928C2211yescharacteristic, complemented
47C2×C4×D44C2211yescharacteristic
48C2×C4×D44C2211yescharacteristic
49C2×C42×D11C2211yescharacteristic
50C2×C42×D11C2211yescharacteristic
51C11×#399C2211yescharacteristic
52C11×#397C2211yescharacteristic
53C11×#397C2211yescharacteristic
54C11×#397C2211yescharacteristic
55C11×#387C2211yescharacteristic, complemented
56C11×#387C2211yescharacteristic, complemented
57C11×#387C2211yescharacteristic, complemented
58C11×#387C2211yescharacteristic, complemented
59C11×#387C2211yescharacteristic, complemented
60C11×#387C2211yescharacteristic, complemented
61C11×#385C2211yescharacteristic
62C11×#382C2211yescharacteristic, complemented
63C11×#382C2211yescharacteristic, complemented
64C4×C11×C22⋊C4C2211yescharacteristic
65C4×C11×C22⋊C4C2211yescharacteristic
66#10622826C2211yescharacteristic
67C4×C22⋊Dic11C2211yescharacteristic
68#10622607C2211yescharacteristic
69#10622607C2211yescharacteristic
70#10622606C2211yescharacteristic
71#10622605C2211yescharacteristic
72#10622604C2211yescharacteristic
73#10622604C2211yescharacteristic
74#10622603C2211yescharacteristic, complemented
75#10622603C2211yescharacteristic, complemented
76#10622603C2211yescharacteristic, complemented
77#10622603C2211yescharacteristic, complemented
78#10622602C2211yescharacteristic
79#10622602C2211yescharacteristic
80#10622602C2211yescharacteristic
81#10622602C2211yescharacteristic
82#10622602C2211yescharacteristic
83#10622602C2211yescharacteristic
84#10622602C2211yescharacteristic, complemented
85#10622601C2211yescharacteristic, complemented
86#10622600C2211yescharacteristic, complemented
87#10622594C2211yescharacteristic, complemented
88#10622594C2211yescharacteristic, complemented
89#10622594C2211yescharacteristic, complemented
90#10622587C2211yescharacteristic, complemented
91#10622586C2211yescharacteristic, complemented
92#10622585C2211yescharacteristic, complemented
93#10622574C2211yescharacteristic
94#10622574C2211yescharacteristic
95#10622573C2211yescharacteristic
96#10622572C2211yescharacteristic
97#10622572C2211yescharacteristic
98#10622572C2211yescharacteristic
99#10622572C2211yescharacteristic
100#10622571C2211yescharacteristic
101#10622568C2211yescharacteristic
102#10622568C2211yescharacteristic
103#10622565C2211yescharacteristic
104#10622565C2211yescharacteristic
105#10622563C2211yescharacteristic
106#10622561C2211yescharacteristic
107#10622561C2211yescharacteristic
108#10622560C2211yescharacteristic
109C22⋊C4×Dic11C2211yescharacteristic
110C22⋊C4×Dic11C2211yescharacteristic
111C22⋊C4×Dic11C2211yescharacteristic
112#10622553C2211yescharacteristic, complemented
113#10622553C2211yescharacteristic, complemented
114#10622553C2211yescharacteristic, complemented
115#10622553C2211yescharacteristic, complemented
116C4×(C2×D11)⋊C4C2211yescharacteristic
117C4×(C2×D11)⋊C4C2211yescharacteristic
118C4×(C2×D11)⋊C4C2211yescharacteristic
119C4×(C2×D11)⋊C4C2211yescharacteristic
120#10622550C2211yescharacteristic, complemented
121#10622546C2211yescharacteristic, complemented
122#10622541C2211yescharacteristic, complemented
123#10622288C2211yescharacteristic
124#10622288C2211yescharacteristic
125#10622287C2211yescharacteristic
126#10622287C2211yescharacteristic
127#10622286C2211yescharacteristic
128#10622285C2211yescharacteristic
129#10622285C2211yescharacteristic
130#10622285C2211yescharacteristic
131#10622285C2211yescharacteristic
132#10622284C2211yescharacteristic
133#10622283C2211yescharacteristic, complemented
134#10622283C2211yescharacteristic, complemented
135#10622283C2211yescharacteristic, complemented
136#10622283C2211yescharacteristic, complemented
137#10622282C2211yescharacteristic, complemented
138#10622282C2211yescharacteristic, complemented
139#10622282C2211yescharacteristic, complemented
140#10622282C2211yescharacteristic, complemented
141#10622281C2211yescharacteristic
142#10622281C2211yescharacteristic
143#10622281C2211yescharacteristic
144#10622281C2211yescharacteristic
145#10622281C2211yescharacteristic, complemented
146#10622280C2211yescharacteristic
147#10622280C2211yescharacteristic
148#10622280C2211yescharacteristic, complemented
149#10622279C2211yescharacteristic
150#10622279C2211yescharacteristic
151#10622279C2211yescharacteristic
152#10622279C2211yescharacteristic
153#10622278C2211yescharacteristic
154#10622278C2211yescharacteristic
155#10622278C2211yescharacteristic
156#10622278C2211yescharacteristic
157#10622278C2211yescharacteristic
158#10622278C2211yescharacteristic
159#10622278C2211yescharacteristic
160#10622278C2211yescharacteristic
161#10622278C2211yescharacteristic
162#10622278C2211yescharacteristic
163#10622278C2211yescharacteristic, complemented
164#10622278C2211yescharacteristic, complemented
165#10622277C2211yescharacteristic, complemented
166#10622277C2211yescharacteristic, complemented
167D11×#95C2211yescharacteristic
168D11×#95C2211yescharacteristic
169#10622268C2211yescharacteristic, complemented
170#10622268C2211yescharacteristic, complemented
171#10622268C2211yescharacteristic, complemented
172#10622267C2211yescharacteristic, complemented
173#10622267C2211yescharacteristic, complemented
174#10622266C2211yescharacteristic, complemented
175#10622266C2211yescharacteristic, complemented
176#10622266C2211yescharacteristic, complemented
177#10622265C2211yescharacteristic, complemented
178#10622265C2211yescharacteristic, complemented
179#10622264C2211yescharacteristic, complemented
180#10622264C2211yescharacteristic, complemented
181#10622264C2211yescharacteristic, complemented
182#10622263C2211yescharacteristic, complemented
183#10622263C2211yescharacteristic, complemented
184#10622260C2211yescharacteristic, complemented
185#10622259C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187C24×D11C2311yescharacteristic
188C23×C4×C11C2311yescharacteristic
189C22×C22⋊D11C2311yescharacteristic
190C22×C22⋊D11C2311yescharacteristic
191C23×Dic11C2311yescharacteristic
192C22×D44C2311yescharacteristic
193C22×D44C2311yescharacteristic
194C22×D44C2311yescharacteristic
195C22×D44C2311yescharacteristic
196C22×D44C2311yescharacteristic
197C22×C4×D11—24no—
198C22×C4×D11—42no—
199C22×C4×D11—42no—
200C22×C4×D11C2311yescharacteristic
201C22×C4×D11C2311yescharacteristic
202C22×C4×D11C2311yescharacteristic
203C22×C4×D11C2311yescharacteristic
204C22×C4×D11C2311yescharacteristic
205C22×C4×D11C2311yescharacteristic
206C22×C4×D11C2311yescharacteristic
207C22×C4×D11C2311yescharacteristic
208C22×C4×D11C2311yescharacteristic
209C22×C4×D11C2311yescharacteristic
210C22×Dic22C2311yescharacteristic
211C2×C11×C4⋊C4C2311yescharacteristic
212C2×C11×C4⋊C4C2311yescharacteristic
213C2×C11×C4⋊C4C2311yescharacteristic
214C2×C11×C4⋊C4C2311yescharacteristic
215C2×C11×C4⋊C4C2311yescharacteristic
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C4⋊C4C2311yescharacteristic
219C2×C11×C22⋊C4C2311yescharacteristic
220C2×C11×C22⋊C4C2311yescharacteristic
221C2×C11×C22⋊C4C2311yescharacteristic
222C2×C11×C22⋊C4C2311yescharacteristic
223C2×C11×C22⋊C4C2311yescharacteristic
224C2×C11×C22⋊C4C2311yescharacteristic
225C2×C42×C11C2311yescharacteristic
226C2×C42×C11C2311yescharacteristic
227C2×C42×C11C2311yescharacteristic
228C2×C42×C11C2311yescharacteristic
229C2×C22⋊Dic11C2311yescharacteristic
230C2×C22⋊Dic11C2311yescharacteristic
231C2×C22⋊Dic11C2311yescharacteristic
232C2×C22⋊Dic11C2311yescharacteristic
233C4×C22⋊D11—42no—
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×(C2×D11)⋊C4C2311yescharacteristic
262C2×(C2×D11)⋊C4C2311yescharacteristic
263C2×(C2×D11)⋊C4C2311yescharacteristic
264C2×(C2×D11)⋊C4C2311yescharacteristic
265C2×(C2×D11)⋊C4C2311yescharacteristic
266C2×(C2×D11)⋊C4C2311yescharacteristic
267C2×(C2×D11)⋊C4C2311yescharacteristic
268C2×(C2×D11)⋊C4C2311yescharacteristic
269C2×(C2×D11)⋊C4C2311yescharacteristic
270C2×C4⋊Dic11C2311yescharacteristic
271C2×C4⋊Dic11C2311yescharacteristic
272C2×C4⋊Dic11C2311yescharacteristic
273C2×C4⋊Dic11C2311yescharacteristic
274C2×C4⋊Dic11C2311yescharacteristic
275C2×C4⋊Dic11C2311yescharacteristic
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×C4×Dic11C2311yescharacteristic
289C2×C4×Dic11C2311yescharacteristic
290C2×C4×Dic11C2311yescharacteristic
291C2×C4×Dic11C2311yescharacteristic
292C2×C4×Dic11C2311yescharacteristic
293C2×C4×Dic11C2311yescharacteristic
294C2×C4×Dic11C2311yescharacteristic
295C2×C4×Dic11C2311yescharacteristic
296C2×C4×Dic11C2311yescharacteristic
297C2×C4×Dic11C2311yescharacteristic
298#66951—42no—
299#66951—42no—
300#66950—24no—
301#66948—24no—
302#66946—24no—
303#66946—42no—
304#66942—42no—
305#66935—24no—
306#66935—24no—
307(C22⋊D11)⋊C4—42no—
308C22⋊C4×D11—24no—
309C22⋊C4×D11—24no—
310#66928—42no—
311C4×D44—24no—
312C4×D44—42no—
313C42×D11—42no—
314C42×D11—42no—
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
357C11⋊#95C2311yescharacteristic
358C11⋊#95C2311yescharacteristic
359C11⋊#95C2311yescharacteristic
360C11⋊#95C2311yescharacteristic
361C11⋊#95C2311yescharacteristic
362C11⋊#95C2311yescharacteristic
363#34996—111nomaximal, Sylow
364C24×C11C2411yescharacteristic
365C23×D11—22no—
366C23×D11—22no—
367C23×D11—41no—
368C23×D11—41no—
369C23×D11—41no—
370C23×D11—41no—
371C23×D11#4114yes—
372C23×D11C2411yescharacteristic
373C23×D11C2411yescharacteristic
374C23×D11C2411yescharacteristic
375C23×D11C2411yescharacteristic
376C22×C4×C11—22no—
377C22×C4×C11—22no—
378C22×C4×C11—41no—
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
388C22×C4×C11C2411yescharacteristic
389C22×C4×C11C2411yescharacteristic
390C22×C4×C11C2411yescharacteristic
391C22×C4×C11C2411yescharacteristic
392C22×C4×C11C2411yescharacteristic
393C2×C22⋊D11—22no—
394C2×C22⋊D11—22no—
395C2×C22⋊D11—41no—
396C2×C22⋊D11—41no—
397C2×C22⋊D11—41no—
398C2×C22⋊D11—41no—
399C22×Dic11—22no—
400C22×Dic11—22no—
401C22×Dic11—41no—
402C22×Dic11C2411yescharacteristic
403C22×Dic11C2411yescharacteristic
404C22×Dic11C2411yescharacteristic
405C22×Dic11C2411yescharacteristic
406C22×Dic11C2411yescharacteristic
407C22×Dic11C2411yescharacteristic
408C22×Dic11C2411yescharacteristic
409C22×Dic11C2411yescharacteristic
410C22×Dic11C2411yescharacteristic
411C22×Dic11C2411yescharacteristic
412C22×Dic11C2411yescharacteristic
413C22×Dic11C2411yescharacteristic
414C2×D44—22no—
415C2×D44—22no—
416C2×D44—22no—
417C2×D44—22no—
418C2×D44—22no—
419C2×D44—22no—
420C2×D44—22no—
421C2×D44—22no—
422C2×D44—22no—
423C2×D44—41no—
424C2×D44—41no—
425C2×D44—41no—
426C2×D44—41no—
427C2×D44—41no—
428C2×D44—41no—
429C2×C4×D11—22no—
430C2×C4×D11—22no—
431C2×C4×D11—22no—
432C2×C4×D11—22no—
433C2×C4×D11—22no—
434C2×C4×D11—22no—
435C2×C4×D11—22no—
436C2×C4×D11—22no—
437C2×C4×D11—22no—
438C2×C4×D11—22no—
439C2×C4×D11—22no—
440C2×C4×D11—22no—
441C2×C4×D11—41no—
442C2×C4×D11—41no—
443C2×C4×D11—41no—
444C2×C4×D11—41no—
445C2×C4×D11—41no—
446C2×C4×D11—41no—
447C2×C4×D11—41no—
448C2×C4×D11—41no—
449C2×C4×D11—41no—
450C2×C4×D11—41no—
451C2×C4×D11—41no—
452C2×C4×D11—41no—
453C2×C4×D11—41no—
454C2×C4×D11—41no—
455C2×C4×D11—41no—
456C2×C4×D11—41no—
457C2×C4×D11—416no—
458C2×C4×D11#4114yes—
459C2×C4×D11#4114yes—
460C2×Dic22—22no—
461C2×Dic22—41no—
462C2×Dic22—41no—
463C11×C4⋊C4—22no—
464C11×C4⋊C4—22no—
465C11×C4⋊C4—22no—
466C11×C4⋊C4—22no—
467C11×C4⋊C4—41no—
468C11×C4⋊C4—41no—
469C11×C4⋊C4—41no—
470C11×C4⋊C4—41no—
471C11×C22⋊C4—22no—
472C11×C22⋊C4—22no—
473C11×C22⋊C4—22no—
474C11×C22⋊C4—22no—
475C11×C22⋊C4—41no—
476C11×C22⋊C4—41no—
477C42×C11—22no—
478C42×C11—22no—
479C42×C11—41no—
480C42×C11—41no—
481C22⋊Dic11—22no—
482C22⋊Dic11—22no—
483C22⋊Dic11—41no—
484C22⋊Dic11—41no—
485(C2×D11)⋊C4—22no—
486(C2×D11)⋊C4—22no—
487(C2×D11)⋊C4—22no—
488(C2×D11)⋊C4—22no—
489(C2×D11)⋊C4—22no—
490(C2×D11)⋊C4—22no—
491(C2×D11)⋊C4—22no—
492(C2×D11)⋊C4—22no—
493(C2×D11)⋊C4—22no—
494(C2×D11)⋊C4—22no—
495(C2×D11)⋊C4—22no—
496(C2×D11)⋊C4—22no—
497(C2×D11)⋊C4—22no—
498(C2×D11)⋊C4—22no—
499(C2×D11)⋊C4—22no—
500(C2×D11)⋊C4—22no—
501(C2×D11)⋊C4—22no—
502(C2×D11)⋊C4—22no—
503(C2×D11)⋊C4—22no—
504(C2×D11)⋊C4—22no—
505(C2×D11)⋊C4—41no—
506(C2×D11)⋊C4—41no—
507(C2×D11)⋊C4—41no—
508(C2×D11)⋊C4—41no—
509(C2×D11)⋊C4—41no—
510(C2×D11)⋊C4—41no—
511(C2×D11)⋊C4—41no—
512(C2×D11)⋊C4—41no—
513(C2×D11)⋊C4—41no—
514(C2×D11)⋊C4—41no—
515(C2×D11)⋊C4—41no—
516(C2×D11)⋊C4—41no—
517(C2×D11)⋊C4—41no—
518(C2×D11)⋊C4—41no—
519(C2×D11)⋊C4—41no—
520(C2×D11)⋊C4—41no—
521C4⋊Dic11—22no—
522C4⋊Dic11—22no—
523C4⋊Dic11—22no—
524C4⋊Dic11—22no—
525C4⋊Dic11—41no—
526C4⋊Dic11—41no—
527Dic11⋊C4—22no—
528Dic11⋊C4—22no—
529Dic11⋊C4—41no—
530Dic11⋊C4—41no—
531Dic11⋊C4—41no—
532Dic11⋊C4—41no—
533Dic11⋊C4—41no—
534Dic11⋊C4—41no—
535Dic11⋊C4—41no—
536Dic11⋊C4—41no—
537Dic11⋊C4—41no—
538Dic11⋊C4—41no—
539C4×Dic11—22no—
540C4×Dic11—22no—
541C4×Dic11—22no—
542C4×Dic11—22no—
543C4×Dic11—41no—
544C4×Dic11—41no—
545C4×Dic11—41no—
546C4×Dic11—41no—
547C4×Dic11—41no—
548C4×Dic11—41no—
549#2852—111no—
550#2852—111no—
551#2851—111no—
552#2850—111no—
553#2626—111no—
554#2622—111no—
555#2622—111no—
556#2617—111no—
557#2523—111no—
558#2523—111no—
559#2518—111no—
560#2518—111no—
561#2518—111no—
562#2518—111no—
563#2517—111no—
564#2517D1111yescharacteristic, complemented
565#2467—111no—
566#2467—111no—
567#2466—111no—
568#2466—111no—
569#2460—111no—
570#2460—111no—
571#2459—111no—
572#2459—111no—
573#2329—111no—
574#2325—111no—
575#2318—111no—
576#2318—111no—
577C4×#120—111no—
578C4×#120—111no—
579C2×C4×C22⋊C4—111no—
580C23×C11—21no—
581C23×C11—21no—
582C23×C11—21no—
583C23×C11—21no—
584C23×C11—21no—
585C23×C11—21no—
586C23×C11C2×#4112yes—
587C23×C11C2511yescharacteristic
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×D11—21no—
597C22×D11—21no—
598C22×D11—28no—
599C22×D11—21no—
600C22×D11—21no—
601C22×D11—21no—
602C22×D11—21no—
603C22×D11—21no—
604C22×D11—21no—
605C22×D11—21no—
606C22×D11—21no—
607C22×D11—21no—
608C22×D11—21no—
609C22×D11—21no—
610C22×D11—21no—
611C22×D11—21no—
612C22×D11—21no—
613C22×D11—44no—
614C22×D11—44no—
615C22×D11—44no—
616C22×D11—44no—
617C22×D11—44no—
618C22×D11—44no—
619C22×D11C2×#4112yes—
620C22×D11C2×#4112yes—
621C22×D11C2×#4112yes—
622C22×D11C2×#4112yes—
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—21no—
637C2×C4×C11—21no—
638C2×C4×C11—21no—
639C2×C4×C11—21no—
640C2×C4×C11—21no—
641C2×C4×C11—21no—
642C2×C4×C11—21no—
643C2×C4×C11—21no—
644C2×C4×C11—21no—
645C2×C4×C11—21no—
646C2×C4×C11—21no—
647C2×C4×C11—21no—
648C2×C4×C11—21no—
649C2×C4×C11—21no—
650C2×C4×C11—21no—
651C2×C4×C11—21no—
652C2×C4×C11—21no—
653C2×C4×C11—21no—
654C2×C4×C11—21no—
655C2×C4×C11—21no—
656C2×C4×C11—21no—
657C2×C4×C11—21no—
658C2×C4×C11—21no—
659C2×C4×C11—21no—
660C2×C4×C11—21no—
661C2×C4×C11—21no—
662C2×C4×C11—44no—
663C2×C4×C11C2×#4112yes—
664C2×C4×C11C2×#4112yes—
665C2×C4×C11H(5,𝔽2)12yes—
666C22⋊D11—44no—
667C22⋊D11—44no—
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×Dic11—21no—
680C2×Dic11—21no—
681C2×Dic11—21no—
682C2×Dic11—21no—
683C2×Dic11—21no—
684C2×Dic11—21no—
685C2×Dic11—21no—
686C2×Dic11—21no—
687C2×Dic11—21no—
688C2×Dic11—21no—
689C2×Dic11—21no—
690C2×Dic11—21no—
691C2×Dic11—21no—
692C2×Dic11—21no—
693C2×Dic11—21no—
694C2×Dic11—21no—
695C2×Dic11—21no—
696C2×Dic11—21no—
697C2×Dic11—21no—
698C2×Dic11—21no—
699C2×Dic11—21no—
700C2×Dic11—21no—
701C2×Dic11—44no—
702C2×Dic11C2×#4112yes—
703C2×Dic11C2×#4112yes—
704C2×Dic11H(5,𝔽2)12yes—
705D44—44no—
706D44—44no—
707D44—44no—
708D44—44no—
709D44—82no—
710C4×D11—28no—
711C4×D11—44no—
712C4×D11—44no—
713C4×D11—44no—
714C4×D11—44no—
715C4×D11—44no—
716C4×D11—44no—
717C4×D11—44no—
718C4×D11—82no—
719C4×D11—82no—
720Dic22—82no—
721C24×C4—111no—
722C2×#126—111no—
723C2×#126—111no—
724C2×#125—111no—
725C2×#124—111no—
726C2×C22⋊Q8—111no—
727C2×#121—111no—
728C2×#120—111no—
729C2×#120—111no—
730C2×C4×D4—111no—
731C2×C4×D4—111no—
732C2×C4×D4—111no—
733C2×C4×D4—111no—
734C2×C4×D4—111no—
735C2×C4×D4—111no—
736C22×C22⋊C4—111no—
737C22×C22⋊C4—111no—
738C22×C42—111no—
739C22×C42—111no—
740#399—111no—
741#399C2×D1111yescharacteristic
742#397—111no—
743#397—111no—
744#397—111no—
745#397—111no—
746#397—111no—
747#397—111no—
748#397—111no—
749#397C2×D1111yescharacteristic
750#397C2×D1111yescharacteristic
751#397C2×D1111yescharacteristic
752#396—111no—
753#396—111no—
754#396—111no—
755#396—111no—
756#394—111no—
757#394—111no—
758#394—111no—
759#394—111no—
760#394—111no—
761#394—111no—
762#394—111no—
763#394—111no—
764#394—111no—
765#394—111no—
766#394—111no—
767#394—111no—
768#393—111no—
769#393—111no—
770#392—111no—
771#392—111no—
772#391—111no—
773#391—111no—
774#391—111no—
775#390—111no—
776#389—111no—
777#389—111no—
778#389—111no—
779#389—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#388—111no—
791#388—111no—
792#388—111no—
793#388—111no—
794#388—111no—
795#388—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#387—111no—
807#387—111no—
808#387—111no—
809#387—111no—
810#387C2×D1111yescharacteristic, complemented
811#387C2×D1111yescharacteristic, complemented
812#387C2×D1111yescharacteristic, complemented
813#387C2×D1111yescharacteristic, complemented
814#387C2×D1111yescharacteristic, complemented
815#387C2×D1111yescharacteristic, complemented
816#386—111no—
817#386—111no—
818#386—111no—
819#386—111no—
820#386—111no—
821#386—111no—
822#386—111no—
823#386—111no—
824#386—111no—
825#386—111no—
826#386—111no—
827#386—111no—
828#386—111no—
829#386—111no—
830#385—111no—
831#385—111no—
832#385—111no—
833#385—111no—
834#385—111no—
835#385—111no—
836#385—111no—
837#385—111no—
838#385—111no—
839#385—111no—
840#385—111no—
841#385—111no—
842#385—111no—
843#385C2×D1111yescharacteristic
844#383—111no—
845#383—111no—
846#383—111no—
847#383—111no—
848#382—111no—
849#382—111no—
850#382C2×D1111yescharacteristic, complemented
851#382C2×D1111yescharacteristic, complemented
852#381—111no—
853#381—111no—
854#380—111no—
855#380—111no—
856#380—111no—
857#380—111no—
858#379—111no—
859#379—111no—
860C4×C22⋊C4—111no—
861C4×C22⋊C4—111no—
862C4×C22⋊C4—111no—
863C4×C22⋊C4—111no—
864C4×C22⋊C4—111no—
865C4×C22⋊C4—111no—
866C4×C22⋊C4—111no—
867C4×C22⋊C4—111no—
868C4×C22⋊C4—111no—
869C4×C22⋊C4—111no—
870C4×C22⋊C4—111no—
871C4×C22⋊C4—111no—
872C4×C22⋊C4C2×D1111yescharacteristic
873C4×C22⋊C4C2×D1111yescharacteristic
874C2×#95—111no—
875C2×#95—111no—
876C22×C11—22no—
877C22×C11—22no—
878C22×C11—22no—
879C22×C11—41no—
880C22×C11—41no—
881C22×C11—41no—
882C22×C11—41no—
883C22×C11C22×#4111yescharacteristic
884C22×C11C22×#4111yescharacteristic
885C22×C11C22×#4111yescharacteristic
886C22×C11C2×H(5,𝔽2)11yescharacteristic
887C22×C11C2×H(5,𝔽2)11yescharacteristic
888C22×C11#58511yescharacteristic
889C22×C11#58511yescharacteristic
890C2×D11—22no—
891C2×D11—22no—
892C2×D11—22no—
893C2×D11—22no—
894C2×D11—22no—
895C2×D11—22no—
896C2×D11—22no—
897C2×D11—22no—
898C2×D11—22no—
899C2×D11—416no—
900C2×D11—41no—
901C2×D11—41no—
902C2×D11—41no—
903C2×D11—41no—
904C2×D11—41no—
905C2×D11—41no—
906C2×D11—41no—
907C2×D11—41no—
908C2×D11—41no—
909C2×D11—41no—
910C2×D11—41no—
911C2×D11—41no—
912C2×D11—41no—
913C2×D11—41no—
914C2×D11—41no—
915C2×D11—41no—
916C2×D11—41no—
917C2×D11—41no—
918C2×D11#52914yes—
919C4×C11—22no—
920C4×C11—22no—
921C4×C11—22no—
922C4×C11—41no—
923C4×C11—41no—
924C4×C11—41no—
925C4×C11—41no—
926C4×C11—41no—
927C4×C11—41no—
928C4×C11—41no—
929C4×C11—41no—
930C4×C11—41no—
931C4×C11—41no—
932C4×C11—41no—
933Dic11—22no—
934Dic11—22no—
935Dic11—22no—
936Dic11—41no—
937Dic11—41no—
938Dic11—41no—
939Dic11—41no—
940Dic11—41no—
941Dic11—41no—
942Dic11—41no—
943Dic11—41no—
944Dic11—41no—
945C25—111no—
946C22×Q8—111no—
947C22×D4—111no—
948C22×D4—111no—
949C22×D4—111no—
950C22×D4—111no—
951C22×D4—111no—
952C22×D4—111no—
953C22×D4—111no—
954C23×C4—111no—
955C23×C4—111no—
956C23×C4—111no—
957C23×C4—111no—
958C23×C4—111no—
959C23×C4—111no—
960C23×C4—111no—
961C23×C4—111no—
962C23×C4—111no—
963C23×C4—111no—
964C23×C4—111no—
965C23×C4—224no—
966C23×C4—442no—
967C23×C4—442no—
968C23×C4C22×D1111yescharacteristic
969#126—442no—
970#126—442no—
971#125—442no—
972#124—442no—
973C22⋊Q8—224no—
974#121—224no—
975#120—224no—
976#120—224no—
977C4×D4—224no—
978C4×D4—224no—
979C4×D4—442no—
980C4×D4—442no—
981C4×D4—442no—
982C4×D4—442no—
983C2×C4⋊C4—111no—
984C2×C4⋊C4—111no—
985C2×C4⋊C4—111no—
986C2×C4⋊C4—111no—
987C2×C4⋊C4—111no—
988C2×C4⋊C4—111no—
989C2×C4⋊C4—111no—
990C2×C4⋊C4—111no—
991C2×C4⋊C4—111no—
992C2×C4⋊C4—111no—
993C2×C4⋊C4—111no—
994C2×C4⋊C4—111no—
995C2×C4⋊C4—111no—
996C2×C4⋊C4—111no—
997C2×C4⋊C4—111no—
998C2×C4⋊C4—111no—
999C2×C4⋊C4—111no—
1000C2×C4⋊C4—111no—
1001C2×C4⋊C4C22×D1111yescharacteristic
1002C2×C4⋊C4C22×D1111yescharacteristic
1003C2×C4⋊C4C22×D1111yescharacteristic
1004C2×C4⋊C4C22×D1111yescharacteristic
1005C2×C4⋊C4C22×D1111yescharacteristic
1006C2×C4⋊C4C22×D1111yescharacteristic
1007C2×C4⋊C4C22×D1111yescharacteristic
1008C2×C4⋊C4C22×D1111yescharacteristic
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⋊C4—111no—
1018C2×C22⋊C4—111no—
1019C2×C22⋊C4—111no—
1020C2×C22⋊C4—111no—
1021C2×C22⋊C4—111no—
1022C2×C22⋊C4—111no—
1023C2×C22⋊C4—111no—
1024C2×C22⋊C4—111no—
1025C2×C22⋊C4—111no—
1026C2×C22⋊C4—111no—
1027C2×C22⋊C4—111no—
1028C2×C22⋊C4—111no—
1029C2×C22⋊C4—111no—
1030C2×C22⋊C4—111no—
1031C2×C22⋊C4—111no—
1032C2×C22⋊C4—111no—
1033C2×C22⋊C4—111no—
1034C2×C22⋊C4—111no—
1035C2×C22⋊C4—111no—
1036C2×C22⋊C4—111no—
1037C2×C22⋊C4—111no—
1038C2×C22⋊C4—111no—
1039C2×C22⋊C4—111no—
1040C2×C22⋊C4—111no—
1041C2×C22⋊C4—111no—
1042C2×C22⋊C4—111no—
1043C2×C22⋊C4—111no—
1044C2×C22⋊C4—111no—
1045C2×C22⋊C4—111no—
1046C2×C22⋊C4—111no—
1047C2×C22⋊C4—111no—
1048C2×C22⋊C4—111no—
1049C2×C22⋊C4—224no—
1050C2×C22⋊C4—224no—
1051C2×C22⋊C4C22×D1111yescharacteristic
1052C2×C22⋊C4C22×D1111yescharacteristic
1053C2×C22⋊C4C22×D1111yescharacteristic
1054C2×C22⋊C4C22×D1111yescharacteristic
1055C2×C22⋊C4C22×D1111yescharacteristic
1056C2×C22⋊C4C22×D1111yescharacteristic
1057C2×C42—111no—
1058C2×C42—111no—
1059C2×C42—111no—
1060C2×C42—111no—
1061C2×C42—111no—
1062C2×C42—111no—
1063C2×C42—111no—
1064C2×C42—111no—
1065C2×C42—111no—
1066C2×C42—111no—
1067C2×C42—442no—
1068C2×C42—442no—
1069C2×C42C22×D1111yescharacteristic
1070C2×C42C22×D1111yescharacteristic
1071C2×C42C22×D1111yescharacteristic
1072C2×C42C22×D1111yescharacteristic
1073#95—111no—
1074#95—111no—
1075#95—111no—
1076#95—111no—
1077#95—111no—
1078#95—111no—
1079#95—111no—
1080#95—111no—
1081#95—111no—
1082#95—111no—
1083#95—111no—
1084#95—111no—
1085#95—111no—
1086#95—111no—
1087#95—111no—
1088#95—111no—
1089#95—111no—
1090#95—111no—
1091#95—111no—
1092#95—111no—
1093#95—111no—
1094#95—111no—
1095#95—111no—
1096#95—111no—
1097#95—111no—
1098#95—111no—
1099#95—111no—
1100#95—111no—
1101#95—111no—
1102#95—111no—
1103#95—111no—
1104#95—111no—
1105#95C22×D1111yescharacteristic
1106#95C22×D1111yescharacteristic
1107#95C22×D1111yescharacteristic
1108#95C22×D1111yescharacteristic
1109#95C22×D1111yescharacteristic
1110#95C22×D1111yescharacteristic
1111#95C22×D1111yescharacteristic
1112#95C22×D1111yescharacteristic
1113#95C22×D1111yescharacteristic
1114#95C22×D1111yescharacteristic
1115#95C22×D1111yescharacteristic
1116#95C22×D1111yescharacteristic
1117#95C22×D1111yescharacteristic
1118#95C22×D1111yescharacteristic
1119#95C22×D1111yescharacteristic
1120#95C22×D1111yescharacteristic
1121C2×C11—42no—
1122C2×C11C2×#52911yescharacteristic
1123C2×C11#345911yescharacteristic
1124C2×C11#345911yescharacteristic
1125C2×C11#349011yescharacteristic
1126C2×C11#349311yescharacteristic
1127C2×C11#350511yescharacteristic
1128C2×C11#350611yescharacteristic
1129D11—24no—
1130D11—42no—
1131D11—81no—
1132D11—81no—
1133C24—111no—
1134C24—111no—
1135C24—114no—
1136C24—111no—
1137C24—111no—
1138C24—222no—
1139C24—222no—
1140C24—441no—
1141C24—441no—
1142C24—441no—
1143C24—441no—
1144C24C23×D1111yescharacteristic
1145C2×Q8—222no—
1146C2×Q8—441no—
1147C2×Q8—441no—
1148C2×D4—222no—
1149C2×D4—222no—
1150C2×D4—222no—
1151C2×D4—222no—
1152C2×D4—222no—
1153C2×D4—222no—
1154C2×D4—222no—
1155C2×D4—222no—
1156C2×D4—222no—
1157C2×D4—222no—
1158C2×D4—222no—
1159C2×D4—441no—
1160C2×D4—441no—
1161C2×D4—441no—
1162C2×D4—441no—
1163C2×D4—441no—
1164C2×D4—441no—
1165C2×D4—441no—
1166C2×D4—441no—
1167C2×D4—441no—
1168C2×D4—441no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—41no—
1172C22×C4—111no—
1173C22×C4—111no—
1174C22×C4—111no—
1175C22×C4—114no—
1176C22×C4—114no—
1177C22×C4—111no—
1178C22×C4—111no—
1179C22×C4—111no—
1180C22×C4—111no—
1181C22×C4—111no—
1182C22×C4—111no—
1183C22×C4—111no—
1184C22×C4—111no—
1185C22×C4—111no—
1186C22×C4—222no—
1187C22×C4—222no—
1188C22×C4—222no—
1189C22×C4—222no—
1190C22×C4—222no—
1191C22×C4—222no—
1192C22×C4—222no—
1193C22×C4—222no—
1194C22×C4—222no—
1195C22×C4—222no—
1196C22×C4—222no—
1197C22×C4—222no—
1198C22×C4—222no—
1199C22×C4—222no—
1200C22×C4—441no—
1201C22×C4—441no—
1202C22×C4—441no—
1203C22×C4—441no—
1204C22×C4—441no—
1205C22×C4—441no—
1206C22×C4—441no—
1207C22×C4—441no—
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—4416no—
1217C22×C4—441no—
1218C22×C4C23×D1111yescharacteristic
1219C22×C4C23×D1111yescharacteristic
1220C22×C4C23×D1111yescharacteristic
1221C22×C4C23×D1111yescharacteristic
1222C22×C4C23×D1111yescharacteristic
1223C22×C4C23×D1111yescharacteristic
1224C22×C4C23×D1111yescharacteristic
1225C22×C4C23×D1111yescharacteristic
1226C22×C4C23×D1111yescharacteristic
1227C22×C4C23×D1111yescharacteristic
1228C22×C4C23×D1111yescharacteristic
1229C22×C4C23×D1111yescharacteristic
1230C22×C4C23×D1111yescharacteristic
1231C22×C4C23×D1111yescharacteristic
1232C4⋊C4—22no—
1233C4⋊C4—22no—
1234C4⋊C4—22no—
1235C4⋊C4—22no—
1236C4⋊C4—41no—
1237C4⋊C4—41no—
1238C4⋊C4—41no—
1239C4⋊C4—41no—
1240C4⋊C4—222no—
1241C4⋊C4—222no—
1242C4⋊C4—222no—
1243C4⋊C4—222no—
1244C4⋊C4—222no—
1245C4⋊C4—222no—
1246C4⋊C4—441no—
1247C4⋊C4—441no—
1248C4⋊C4—441no—
1249C4⋊C4—441no—
1250C4⋊C4—441no—
1251C4⋊C4—441no—
1252C4⋊C4—441no—
1253C4⋊C4—441no—
1254C4⋊C4—441no—
1255C4⋊C4—441no—
1256C4⋊C4—441no—
1257C4⋊C4—441no—
1258C22⋊C4—22no—
1259C22⋊C4—22no—
1260C22⋊C4—22no—
1261C22⋊C4—22no—
1262C22⋊C4—41no—
1263C22⋊C4—41no—
1264C22⋊C4—222no—
1265C22⋊C4—222no—
1266C22⋊C4—222no—
1267C22⋊C4—222no—
1268C22⋊C4—222no—
1269C22⋊C4—222no—
1270C22⋊C4—222no—
1271C22⋊C4—222no—
1272C22⋊C4—222no—
1273C22⋊C4—222no—
1274C22⋊C4—222no—
1275C22⋊C4—222no—
1276C22⋊C4—222no—
1277C22⋊C4—222no—
1278C22⋊C4—222no—
1279C22⋊C4—222no—
1280C22⋊C4—222no—
1281C22⋊C4—222no—
1282C22⋊C4—222no—
1283C22⋊C4—222no—
1284C22⋊C4—222no—
1285C22⋊C4—222no—
1286C22⋊C4—441no—
1287C22⋊C4—441no—
1288C22⋊C4—441no—
1289C22⋊C4—441no—
1290C22⋊C4—441no—
1291C22⋊C4—441no—
1292C22⋊C4—441no—
1293C22⋊C4—441no—
1294C22⋊C4—441no—
1295C22⋊C4—441no—
1296C22⋊C4—441no—
1297C22⋊C4—441no—
1298C22⋊C4—441no—
1299C22⋊C4—441no—
1300C22⋊C4—441no—
1301C22⋊C4—441no—
1302C22⋊C4—441no—
1303C22⋊C4—441no—
1304C42—22no—
1305C42—22no—
1306C42—41no—
1307C42—41no—
1308C42—222no—
1309C42—222no—
1310C42—222no—
1311C42—222no—
1312C42—441no—
1313C42—441no—
1314C42—441no—
1315C42—441no—
1316C42—441no—
1317C42—441no—
1318C11#3499611yescharacteristic, complemented, Sylow
1319C23—21no—
1320C23—21no—
1321C23—21no—
1322C23—21no—
1323C23—21no—
1324C23—21no—
1325C23—112no—
1326C23—112no—
1327C23—112no—
1328C23—112no—
1329C23—228no—
1330C23—221no—
1331C23—221no—
1332C23—221no—
1333C23—221no—
1334C23—221no—
1335C23—221no—
1336C23—221no—
1337C23—221no—
1338C23—221no—
1339C23—221no—
1340C23—221no—
1341C23—221no—
1342C23—221no—
1343C23—221no—
1344C23—221no—
1345C23—221no—
1346C23—221no—
1347C23—221no—
1348C23—221no—
1349C23—221no—
1350C23—221no—
1351C23—221no—
1352C23—221no—
1353C23—221no—
1354C23—444no—
1355C23—444no—
1356C23—444no—
1357C23—444no—
1358C23—444no—
1359C23—444no—
1360C23#41×D1112yes—
1361C23C24×D1111yescharacteristic
1362Q8—882no—
1363D4—444no—
1364D4—444no—
1365D4—444no—
1366D4—444no—
1367D4—444no—
1368D4—444no—
1369D4—882no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—44no—
1410C2×C4—112no—
1411C2×C4—112no—
1412C2×C4—112no—
1413C2×C4—228no—
1414C2×C4—221no—
1415C2×C4—221no—
1416C2×C4—221no—
1417C2×C4—221no—
1418C2×C4—221no—
1419C2×C4—221no—
1420C2×C4—221no—
1421C2×C4—221no—
1422C2×C4—221no—
1423C2×C4—221no—
1424C2×C4—221no—
1425C2×C4—221no—
1426C2×C4—221no—
1427C2×C4—221no—
1428C2×C4—221no—
1429C2×C4—221no—
1430C2×C4—221no—
1431C2×C4—221no—
1432C2×C4—221no—
1433C2×C4—221no—
1434C2×C4—221no—
1435C2×C4—221no—
1436C2×C4—221no—
1437C2×C4—221no—
1438C2×C4—221no—
1439C2×C4—221no—
1440C2×C4—221no—
1441C2×C4—221no—
1442C2×C4—221no—
1443C2×C4—221no—
1444C2×C4—221no—
1445C2×C4—221no—
1446C2×C4—221no—
1447C2×C4—444no—
1448C2×C4—444no—
1449C2×C4—444no—
1450C2×C4—444no—
1451C2×C4—444no—
1452C2×C4—444no—
1453C2×C4—444no—
1454C2×C4—444no—
1455C2×C4—882no—
1456C2×C4—882no—
1457C2×C4#41×D1112yes—
1458C2×C4#41×D1112yes—
1459C2×C4#6704212yes—
1460C22—22no—
1461C22—22no—
1462C22—22no—
1463C22—41no—
1464C22—41no—
1465C22—41no—
1466C22—41no—
1467C22—114no—
1468C22—222no—
1469C22—222no—
1470C22—222no—
1471C22—222no—
1472C22—222no—
1473C22—222no—
1474C22—222no—
1475C22—222no—
1476C22—222no—
1477C22—4416no—
1478C22—441no—
1479C22—441no—
1480C22—441no—
1481C22—441no—
1482C22—441no—
1483C22—441no—
1484C22—441no—
1485C22—441no—
1486C22—441no—
1487C22—441no—
1488C22—441no—
1489C22—441no—
1490C22—441no—
1491C22—441no—
1492C22—441no—
1493C22—441no—
1494C22—441no—
1495C22—441no—
1496C22C2×#41×D1111yescharacteristic
1497C22C2×#41×D1111yescharacteristic
1498C22C2×#41×D1111yescharacteristic
1499C22C2×#6704211yescharacteristic
1500C22#1062345311yescharacteristic
1501C22D11×H(5,𝔽2)11yescharacteristic
1502C22#1062345711yescharacteristic
1503C4—22no—
1504C4—22no—
1505C4—22no—
1506C4—41no—
1507C4—41no—
1508C4—41no—
1509C4—41no—
1510C4—41no—
1511C4—41no—
1512C4—41no—
1513C4—41no—
1514C4—41no—
1515C4—41no—
1516C4—41no—
1517C4—222no—
1518C4—222no—
1519C4—222no—
1520C4—441no—
1521C4—441no—
1522C4—441no—
1523C4—441no—
1524C4—441no—
1525C4—441no—
1526C4—441no—
1527C4—441no—
1528C4—441no—
1529C2—42no—
1530C2—224no—
1531C2—442no—
1532C2—881no—
1533C2—881no—
1534C2D11×#52911yescharacteristic
1535C2#1308202411yescharacteristic
1536C2#1308202611yescharacteristic
1537C2#1308230011yescharacteristic
1538C2#1308233411yescharacteristic
1539C2#1308245611yescharacteristic
1540C2#1308246411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2517C2
prime radical#13074351C2
hypercenter#2517D11
hypocenterC11#34996
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2517

Complements

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

NH ≅ G/Ntype
1. #13076934C2semidirect
2. #13076934C2semidirect
3. #13076923C2semidirect
4. #13076918C2semidirect
5. #13074422C2semidirect
6. #13074390C2semidirect
7. #13074390C2semidirect
9. #13073350C2semidirect
10. #13073344C2semidirect
11. #13073280C2semidirect
12. #13073270C2semidirect
13. #13073268C2semidirect
14. #13073267C2semidirect
15. #13073261C2semidirect
16. #13072670C2semidirect
17. #13072664C2semidirect
18. #13072659C2semidirect
19. #13072653C2semidirect
20. #13072570C2semidirect
21. #13072566C2semidirect
22. #13072557C2semidirect
23. #13072553C2semidirect
24. #13071345C2semidirect
25. #13071315C2semidirect
26. #13071252C2semidirect
27. #13071248C2semidirect
28. C4×#66935C2semidirect
29. #13071117C2semidirect
30. C4×C22⋊C4×D11C2semidirect
31. C11×#2517C2semidirect
34. C2×#66951C22semidirect
35. C2×#66951C22semidirect
40. C2×#66942C22semidirect
46. C2×#66928C22semidirect
55. C11×#387C22semidirect
56. C11×#387C22semidirect
57. C11×#387C22semidirect
58. C11×#387C22semidirect
59. C11×#387C22semidirect
60. C11×#387C22semidirect
62. C11×#382C22semidirect
63. C11×#382C22semidirect
74. #10622603C22semidirect
75. #10622603C22semidirect
76. #10622603C22semidirect
77. #10622603C22semidirect
84. #10622602C22semidirect
85. #10622601C22semidirect
86. #10622600C22semidirect
87. #10622594C22semidirect
88. #10622594C22semidirect
89. #10622594C22semidirect
90. #10622587C22semidirect
91. #10622586C22semidirect
92. #10622585C22semidirect
112. #10622553C22semidirect
113. #10622553C22semidirect
114. #10622553C22semidirect
115. #10622553C22semidirect
120. #10622550C22semidirect
121. #10622546C22semidirect
122. #10622541C22semidirect
133. #10622283C22semidirect
134. #10622283C22semidirect
135. #10622283C22semidirect
136. #10622283C22semidirect
137. #10622282C22semidirect
138. #10622282C22semidirect
139. #10622282C22semidirect
140. #10622282C22semidirect
145. #10622281C22semidirect
148. #10622280C22semidirect
163. #10622278C22semidirect
164. #10622278C22semidirect
165. #10622277C22semidirect
166. #10622277C22semidirect
169. #10622268C22semidirect
170. #10622268C22semidirect
171. #10622268C22semidirect
172. #10622267C22semidirect
173. #10622267C22semidirect
174. #10622266C22semidirect
175. #10622266C22semidirect
176. #10622266C22semidirect
177. #10622265C22semidirect
178. #10622265C22semidirect
179. #10622264C22semidirect
180. #10622264C22semidirect
181. #10622264C22semidirect
182. #10622263C22semidirect
183. #10622263C22semidirect
184. #10622260C22semidirect
185. #10622259C22semidirect
186. #10622259C22semidirect
564. #2517D11semidirect
810. #387C2×D11semidirect
811. #387C2×D11semidirect
812. #387C2×D11semidirect
813. #387C2×D11semidirect
814. #387C2×D11semidirect
815. #387C2×D11semidirect
850. #382C2×D11semidirect
851. #382C2×D11semidirect
1318. C11#34996semidirect

Maximal subgroups

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

subgroupindex
#130769342
#130769232
#130769182
#130744222
#130743902
#130743512
#130733502
#130733442
#130732802
#130732702
#130732682
#130732672
#130732612
#130726702
#130726642
#130726592
#130726532
#130725702
#130725662
#130725572
#130725532
#130713452
#130713152
#130712522
#130712482
C4×#669352
#130711172
C4×C22⋊C4×D112
C11×#25172
#3499611