Finite Group Databasebeta

← D11×#2576 #14924220

Subgroups — D11×#2576 #14924220

Order 2816.

2550 conjugacy classes of subgroups.

The subgroup lattice has 1600 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13073927C211yesmaximal, characteristic, complemented
2#13073926C211yesmaximal, characteristic, complemented
3#13073925C211yesmaximal, characteristic, complemented
4#13073924C211yesmaximal, characteristic, complemented
5#13073923C211yesmaximal, characteristic, complemented
6#13073922C211yesmaximal, characteristic, complemented
7#13073921C211yesmaximal, characteristic, complemented
8#13073920C211yesmaximal, characteristic, complemented
9#13073919C211yesmaximal, characteristic, complemented
10#13073918C211yesmaximal, characteristic, complemented
11#13073917C211yesmaximal, characteristic, complemented
12#13073916C211yesmaximal, characteristic, complemented
13#13073915C211yesmaximal, characteristic, complemented
14#13073914C211yesmaximal, characteristic, complemented
15#13073913C211yesmaximal, characteristic, complemented
16D11×#401C211yesmaximal, characteristic, complemented
17D11×#397C211yesmaximal, characteristic, complemented
18D11×#396C211yesmaximal, characteristic, complemented
19D11×#394C211yesmaximal, characteristic
20D11×#388C211yesmaximal, characteristic, complemented
21D11×#388C211yesmaximal, characteristic, complemented
22D11×#387C211yesmaximal, characteristic, complemented
23D11×#387C211yesmaximal, characteristic, complemented
24D11×#386C211yesmaximal, characteristic
25D11×#386C211yesmaximal, characteristic
26D11×#385C211yesmaximal, characteristic, complemented
27D11×#382C211yesmaximal, characteristic, complemented
28D11×#381C211yesmaximal, characteristic, complemented
29C4×C22⋊C4×D11C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D11C211yesmaximal, characteristic, complemented
31C11×#2576C211yesmaximal, characteristic, complemented
32C22×D4×D11C2211yescharacteristic
33C23×C4×D11C2211yescharacteristic
34C23×C4×D11C2211yescharacteristic
35C2×C4⋊C4×D11C2211yescharacteristic
36C2×C4⋊C4×D11C2211yescharacteristic
37C2×C4⋊C4×D11C2211yescharacteristic
38C2×C4⋊C4×D11C2211yescharacteristic
39C2×C4⋊C4×D11C2211yescharacteristic
40C2×C22⋊C4×D11C2211yescharacteristic
41C2×C22⋊C4×D11C2211yescharacteristic
42C2×C22⋊C4×D11C2211yescharacteristic
43C2×C22⋊C4×D11C2211yescharacteristic
44C2×C22⋊C4×D11C2211yescharacteristic
45C2×C22⋊C4×D11C2211yescharacteristic
46C2×C22⋊C4×D11C2211yescharacteristic
47C2×C22⋊C4×D11C2211yescharacteristic
48C2×C22⋊C4×D11C2211yescharacteristic
49C2×C22⋊C4×D11C2211yescharacteristic
50C2×C42×D11C2211yescharacteristic
51C2×C42×D11C2211yescharacteristic
52C2×C42×D11C2211yescharacteristic
53C11×#401C2211yescharacteristic, complemented
54C11×#397C2211yescharacteristic, complemented
55C11×#396C2211yescharacteristic, complemented
56C11×#394C2211yescharacteristic
57C11×#388C2211yescharacteristic, complemented
58C11×#388C2211yescharacteristic, complemented
59C11×#387C2211yescharacteristic, complemented
60C11×#387C2211yescharacteristic, complemented
61C11×#386C2211yescharacteristic
62C11×#386C2211yescharacteristic
63C11×#385C2211yescharacteristic, complemented
64C11×#382C2211yescharacteristic, complemented
65C11×#381C2211yescharacteristic, complemented
66C4×C11×C22⋊C4C2211yescharacteristic, complemented
67C4×C11×C22⋊C4C2211yescharacteristic, complemented
68#10622835C2211yescharacteristic
69#10622833C2211yescharacteristic
70#10622833C2211yescharacteristic
71#10622826C2211yescharacteristic
72#10622826C2211yescharacteristic
73#10622824C2211yescharacteristic, complemented
74#10622823C2211yescharacteristic, complemented
75C4×C22⋊Dic11C2211yescharacteristic, complemented
76C4×C22⋊Dic11C2211yescharacteristic, complemented
77#10622607C2211yescharacteristic, complemented
78#10622607C2211yescharacteristic, complemented
79#10622607C2211yescharacteristic, complemented
80#10622606C2211yescharacteristic, complemented
81#10622604C2211yescharacteristic
82#10622603C2211yescharacteristic, complemented
83#10622603C2211yescharacteristic, complemented
84#10622602C2211yescharacteristic, complemented
85#10622602C2211yescharacteristic, complemented
86#10622594C2211yescharacteristic, complemented
87#10622594C2211yescharacteristic, complemented
88#10622591C2211yescharacteristic, complemented
89#10622591C2211yescharacteristic, complemented
90#10622590C2211yescharacteristic, complemented
91#10622590C2211yescharacteristic, complemented
92#10622574C2211yescharacteristic
93#10622574C2211yescharacteristic
94#10622572C2211yescharacteristic
95#10622572C2211yescharacteristic
96#10622571C2211yescharacteristic
97#10622571C2211yescharacteristic
98#10622569C2211yescharacteristic
99#10622569C2211yescharacteristic
100#10622569C2211yescharacteristic
101#10622569C2211yescharacteristic
102#10622566C2211yescharacteristic, complemented
103#10622565C2211yescharacteristic, complemented
104#10622565C2211yescharacteristic, complemented
105#10622564C2211yescharacteristic, complemented
106#10622564C2211yescharacteristic, complemented
107#10622563C2211yescharacteristic, complemented
108#10622561C2211yescharacteristic, complemented
109#10622561C2211yescharacteristic, complemented
110#10622561C2211yescharacteristic, complemented
111#10622559C2211yescharacteristic, complemented
112#10622558C2211yescharacteristic, complemented
113#10622558C2211yescharacteristic, complemented
114#10622557C2211yescharacteristic, complemented
115#10622557C2211yescharacteristic, complemented
116#10622556C2211yescharacteristic, complemented
117#10622556C2211yescharacteristic, complemented
118C22⋊C4×Dic11C2211yescharacteristic, complemented
119C22⋊C4×Dic11C2211yescharacteristic, complemented
120C22⋊C4×Dic11C2211yescharacteristic, complemented
121C22⋊C4×Dic11C2211yescharacteristic, complemented
122#10622553C2211yescharacteristic, complemented
123#10622553C2211yescharacteristic, complemented
124C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
125C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
126C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
127C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
128#10622549C2211yescharacteristic, complemented
129#10622546C2211yescharacteristic, complemented
130#10622546C2211yescharacteristic, complemented
131#10622289C2211yescharacteristic, complemented
132#10622288C2211yescharacteristic, complemented
133#10622288C2211yescharacteristic, complemented
134#10622287C2211yescharacteristic, complemented
135#10622285C2211yescharacteristic
136#10622283C2211yescharacteristic, complemented
137#10622283C2211yescharacteristic, complemented
138#10622282C2211yescharacteristic, complemented
139#10622282C2211yescharacteristic, complemented
140#10622281C2211yescharacteristic, complemented
141#10622281C2211yescharacteristic, complemented
142#10622279C2211yescharacteristic, complemented
143#10622279C2211yescharacteristic, complemented
144#10622279C2211yescharacteristic, complemented
145#10622279C2211yescharacteristic, complemented
146#10622278C2211yescharacteristic
147#10622278C2211yescharacteristic
148#10622278C2211yescharacteristic
149#10622278C2211yescharacteristic
150#10622277C2211yescharacteristic, complemented
151#10622277C2211yescharacteristic, complemented
152#10622277C2211yescharacteristic, complemented
153#10622277C2211yescharacteristic, complemented
154D11×#95C2211yescharacteristic
155D11×#95C2211yescharacteristic
156D11×#95C2211yescharacteristic
157D11×#95C2211yescharacteristic
158D11×#95C2211yescharacteristic
159D11×#95C2211yescharacteristic
160D11×#95C2211yescharacteristic
161D11×#95C2211yescharacteristic
162D11×#95C2211yescharacteristic
163D11×#95C2211yescharacteristic
164D11×#95C2211yescharacteristic
165D11×#95C2211yescharacteristic
166D11×#95C2211yescharacteristic
167D11×#95C2211yescharacteristic
168C11⋊#401C2211yescharacteristic, complemented
169C11⋊#401C2211yescharacteristic, complemented
170C11⋊#401C2211yescharacteristic, complemented
171C11⋊#401C2211yescharacteristic, complemented
172C11⋊#401C2211yescharacteristic, complemented
173C11⋊#401C2211yescharacteristic, complemented
174C11⋊#401C2211yescharacteristic, complemented
175#10622268C2211yescharacteristic, complemented
176#10622268C2211yescharacteristic, complemented
177#10622267C2211yescharacteristic, complemented
178#10622267C2211yescharacteristic, complemented
179#10622266C2211yescharacteristic, complemented
180#10622266C2211yescharacteristic, complemented
181#10622265C2211yescharacteristic, complemented
182#10622265C2211yescharacteristic, complemented
183#10622263C2211yescharacteristic, complemented
184#10622263C2211yescharacteristic, complemented
185#10622263C2211yescharacteristic, complemented
186#10622263C2211yescharacteristic, complemented
187C24×D11C2311yescharacteristic
188C24×D11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C22×C22⋊D11C2311yescharacteristic
193C22×C22⋊D11C2311yescharacteristic
194C23×Dic11C2311yescharacteristic
195C23×Dic11C2311yescharacteristic
196C2×D4×D11—24no—
197C2×D4×D11—24no—
198C2×D4×D11—42no—
199C22×D44C2311yescharacteristic
200C22×C4×D11—24no—
201C22×C4×D11—24no—
202C22×C4×D11—24no—
203C22×C4×D11—42no—
204C22×C4×D11—42no—
205C22×C4×D11—42no—
206C22×C4×D11C2311yescharacteristic
207C22×C4×D11C2311yescharacteristic
208C22×C4×D11C2311yescharacteristic
209C22×C4×D11C2311yescharacteristic
210C22×C4×D11C2311yescharacteristic
211C22×C4×D11C2311yescharacteristic
212C22×C4×D11C2311yescharacteristic
213C22×C4×D11C2311yescharacteristic
214C22×C4×D11C2311yescharacteristic
215C22×C4×D11C2311yescharacteristic
216C22×C4×D11C2311yescharacteristic
217C22×C4×D11C2311yescharacteristic
218C22×C4×D11C2311yescharacteristic
219C22×C4×D11C2311yescharacteristic
220C22×C4×D11C2311yescharacteristic
221C22×C4×D11C2311yescharacteristic
222C22×C4×D11C2311yescharacteristic
223C2×C11×C4⋊C4C2311yescharacteristic
224C2×C11×C4⋊C4C2311yescharacteristic
225C2×C11×C4⋊C4C2311yescharacteristic
226C2×C11×C4⋊C4C2311yescharacteristic
227C2×C11×C4⋊C4C2311yescharacteristic
228C2×C11×C22⋊C4C2311yescharacteristic
229C2×C11×C22⋊C4C2311yescharacteristic
230C2×C11×C22⋊C4C2311yescharacteristic
231C2×C11×C22⋊C4C2311yescharacteristic
232C2×C11×C22⋊C4C2311yescharacteristic
233C2×C11×C22⋊C4C2311yescharacteristic
234C2×C11×C22⋊C4C2311yescharacteristic
235C2×C11×C22⋊C4C2311yescharacteristic
236C2×C11×C22⋊C4C2311yescharacteristic
237C2×C11×C22⋊C4C2311yescharacteristic
238C2×C42×C11C2311yescharacteristic
239C2×C42×C11C2311yescharacteristic
240C2×C42×C11C2311yescharacteristic
241C2×C22⋊Dic11C2311yescharacteristic
242C2×C22⋊Dic11C2311yescharacteristic
243C2×C22⋊Dic11C2311yescharacteristic
244C2×C22⋊Dic11C2311yescharacteristic
245C2×C22⋊Dic11C2311yescharacteristic
246C2×C22⋊Dic11C2311yescharacteristic
247C2×C22⋊Dic11C2311yescharacteristic
248C2×C22⋊Dic11C2311yescharacteristic
249C2×C22⋊Dic11C2311yescharacteristic
250C2×C22⋊Dic11C2311yescharacteristic
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×(C2×D11)⋊C4C2311yescharacteristic
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×C4×Dic11C2311yescharacteristic
287C2×C4×Dic11C2311yescharacteristic
288C2×C4×Dic11C2311yescharacteristic
289C2×C4×Dic11C2311yescharacteristic
290C2×C4×Dic11C2311yescharacteristic
291C2×C4×Dic11C2311yescharacteristic
292C2×C4×Dic11C2311yescharacteristic
293C2×C4×Dic11C2311yescharacteristic
294C2×C4×Dic11C2311yescharacteristic
295C4⋊C4×D11—24no—
296C4⋊C4×D11—24no—
297C4⋊C4×D11—42no—
298C4⋊C4×D11—42no—
299C4⋊C4×D11—42no—
300C22⋊C4×D11—24no—
301C22⋊C4×D11—24no—
302C22⋊C4×D11—24no—
303C22⋊C4×D11—24no—
304C22⋊C4×D11—24no—
305C22⋊C4×D11—24no—
306C22⋊C4×D11—24no—
307C22⋊C4×D11—42no—
308C22⋊C4×D11—42no—
309C22⋊C4×D11—42no—
310C42×D11—24no—
311C42×D11—42no—
312C42×D11—42no—
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
357C11⋊#95C2311yescharacteristic
358C11⋊#95C2311yescharacteristic
359C11⋊#95C2311yescharacteristic
360C11⋊#95C2311yescharacteristic
361C11⋊#95C2311yescharacteristic
362C11⋊#95C2311yescharacteristic
363C11⋊#95C2311yescharacteristic
364C11⋊#95C2311yescharacteristic
365C11⋊#95C2311yescharacteristic
366C11⋊#95C2311yescharacteristic
367C11⋊#95C2311yescharacteristic
368C11⋊#95C2311yescharacteristic
369C2×#2576—111nomaximal, Sylow
370C24×C11C2411yescharacteristic
371C24×C11C2411yescharacteristic
372C23×D11—22no—
373C23×D11—22no—
374C23×D11—22no—
375C23×D11—22no—
376C23×D11—22no—
377C23×D11—22no—
378C23×D11—22no—
379C23×D11—22no—
380C23×D11—22no—
381C23×D11—22no—
382C23×D11—22no—
383C23×D11—22no—
384C23×D11#4114yes—
385C23×D11#4114yes—
386C23×D11C2411yescharacteristic
387C23×D11C2411yescharacteristic
388C23×D11C2411yescharacteristic
389C2×D4×C11—22no—
390C2×D4×C11—22no—
391C2×D4×C11—41no—
392C22×C4×C11—22no—
393C22×C4×C11—22no—
394C22×C4×C11—22no—
395C22×C4×C11—41no—
396C22×C4×C11—41no—
397C22×C4×C11—41no—
398C22×C4×C11C2411yescharacteristic
399C22×C4×C11C2411yescharacteristic
400C22×C4×C11C2411yescharacteristic
401C22×C4×C11C2411yescharacteristic
402C22×C4×C11C2411yescharacteristic
403C22×C4×C11C2411yescharacteristic
404C22×C4×C11C2411yescharacteristic
405C22×C4×C11C2411yescharacteristic
406C22×C4×C11C2411yescharacteristic
407C22×C4×C11C2411yescharacteristic
408C22×C4×C11C2411yescharacteristic
409C22×C4×C11C2411yescharacteristic
410C22×C4×C11C2411yescharacteristic
411C2×C22⋊D11—22no—
412C2×C22⋊D11—22no—
413C2×C22⋊D11—22no—
414C2×C22⋊D11—22no—
415C2×C22⋊D11—41no—
416C2×C22⋊D11—41no—
417C22×Dic11—22no—
418C22×Dic11—22no—
419C22×Dic11—22no—
420C22×Dic11—41no—
421C22×Dic11—41no—
422C22×Dic11—41no—
423C22×Dic11C2411yescharacteristic
424C22×Dic11C2411yescharacteristic
425C22×Dic11C2411yescharacteristic
426C22×Dic11C2411yescharacteristic
427C22×Dic11C2411yescharacteristic
428C22×Dic11C2411yescharacteristic
429C22×Dic11C2411yescharacteristic
430C22×Dic11C2411yescharacteristic
431C22×Dic11C2411yescharacteristic
432C22×Dic11C2411yescharacteristic
433C22×Dic11C2411yescharacteristic
434C22×Dic11C2411yescharacteristic
435C22×Dic11C2411yescharacteristic
436D4×D11—416no—
437C2×D44—22no—
438C2×D44—22no—
439C2×D44—41no—
440C2×C4×D11—22no—
441C2×C4×D11—22no—
442C2×C4×D11—22no—
443C2×C4×D11—22no—
444C2×C4×D11—22no—
445C2×C4×D11—22no—
446C2×C4×D11—22no—
447C2×C4×D11—22no—
448C2×C4×D11—22no—
449C2×C4×D11—22no—
450C2×C4×D11—22no—
451C2×C4×D11—22no—
452C2×C4×D11—22no—
453C2×C4×D11—22no—
454C2×C4×D11—22no—
455C2×C4×D11—22no—
456C2×C4×D11—22no—
457C2×C4×D11—22no—
458C2×C4×D11—22no—
459C2×C4×D11—22no—
460C2×C4×D11—22no—
461C2×C4×D11—22no—
462C2×C4×D11—22no—
463C2×C4×D11—22no—
464C2×C4×D11—22no—
465C2×C4×D11—22no—
466C2×C4×D11—22no—
467C2×C4×D11—22no—
468C2×C4×D11—22no—
469C2×C4×D11—22no—
470C2×C4×D11—22no—
471C2×C4×D11—22no—
472C2×C4×D11—22no—
473C2×C4×D11—22no—
474C2×C4×D11—22no—
475C2×C4×D11—22no—
476C2×C4×D11—22no—
477C2×C4×D11—22no—
478C2×C4×D11—22no—
479C2×C4×D11—22no—
480C2×C4×D11—22no—
481C2×C4×D11—22no—
482C2×C4×D11—41no—
483C2×C4×D11—41no—
484C2×C4×D11—41no—
485C2×C4×D11—41no—
486C2×C4×D11—41no—
487C2×C4×D11—41no—
488C2×C4×D11—416no—
489C2×C4×D11—416no—
490C2×C4×D11#4114yes—
491C2×C4×D11#4114yes—
492C2×C4×D11#4114yes—
493C11×C4⋊C4—22no—
494C11×C4⋊C4—22no—
495C11×C4⋊C4—41no—
496C11×C4⋊C4—41no—
497C11×C4⋊C4—41no—
498C11×C22⋊C4—22no—
499C11×C22⋊C4—22no—
500C11×C22⋊C4—22no—
501C11×C22⋊C4—22no—
502C11×C22⋊C4—22no—
503C11×C22⋊C4—22no—
504C11×C22⋊C4—22no—
505C11×C22⋊C4—41no—
506C11×C22⋊C4—41no—
507C11×C22⋊C4—41no—
508C42×C11—22no—
509C42×C11—41no—
510C42×C11—41no—
511C22⋊Dic11—22no—
512C22⋊Dic11—22no—
513C22⋊Dic11—22no—
514C22⋊Dic11—22no—
515C22⋊Dic11—22no—
516C22⋊Dic11—22no—
517C22⋊Dic11—22no—
518C22⋊Dic11—41no—
519C22⋊Dic11—41no—
520C22⋊Dic11—41no—
521(C2×D11)⋊C4—22no—
522(C2×D11)⋊C4—22no—
523(C2×D11)⋊C4—22no—
524(C2×D11)⋊C4—22no—
525(C2×D11)⋊C4—22no—
526(C2×D11)⋊C4—22no—
527(C2×D11)⋊C4—22no—
528(C2×D11)⋊C4—22no—
529(C2×D11)⋊C4—22no—
530(C2×D11)⋊C4—22no—
531(C2×D11)⋊C4—22no—
532(C2×D11)⋊C4—22no—
533(C2×D11)⋊C4—22no—
534(C2×D11)⋊C4—22no—
535(C2×D11)⋊C4—41no—
536(C2×D11)⋊C4—41no—
537(C2×D11)⋊C4—41no—
538(C2×D11)⋊C4—41no—
539(C2×D11)⋊C4—41no—
540(C2×D11)⋊C4—41no—
541C4⋊Dic11—22no—
542C4⋊Dic11—22no—
543C4⋊Dic11—41no—
544C4⋊Dic11—41no—
545C4⋊Dic11—41no—
546Dic11⋊C4—22no—
547Dic11⋊C4—22no—
548Dic11⋊C4—22no—
549Dic11⋊C4—22no—
550Dic11⋊C4—41no—
551Dic11⋊C4—41no—
552Dic11⋊C4—41no—
553Dic11⋊C4—41no—
554Dic11⋊C4—41no—
555Dic11⋊C4—41no—
556C4×Dic11—22no—
557C4×Dic11—22no—
558C4×Dic11—22no—
559C4×Dic11—41no—
560C4×Dic11—41no—
561C4×Dic11—41no—
562C4×Dic11—41no—
563C4×Dic11—41no—
564C4×Dic11—41no—
565#2576—111no—
566#2576—111no—
567#2576—111no—
568#2576—111no—
569#2576—111no—
570#2576—111no—
571#2576—111no—
572#2576—111no—
573#2576—111no—
574#2576—111no—
575#2576—111no—
576#2576—111no—
577#2576—111no—
578#2576—111no—
579#2576—111no—
580#2576D1111yescharacteristic, direct product factor
581C2×#401—111no—
582C2×#397—111no—
583C2×#396—111no—
584C2×#394—111no—
585C2×#388—111no—
586C2×#388—111no—
587C2×#387—111no—
588C2×#387—111no—
589C2×#386—111no—
590C2×#386—111no—
591C2×#385—111no—
592C2×#382—111no—
593C2×#381—111no—
594C2×C4×C22⋊C4—111no—
595C2×C4×C22⋊C4—111no—
596C23×C11—21no—
597C23×C11—21no—
598C23×C11—21no—
599C23×C11—21no—
600C23×C11—21no—
601C23×C11—21no—
602C23×C11—21no—
603C23×C11—21no—
604C23×C11—21no—
605C23×C11—21no—
606C23×C11—21no—
607C23×C11—21no—
608C23×C11C2×#4112yes—
609C23×C11C2×#4112yes—
610C23×C11C2511yescharacteristic
611C22×D11—21no—
612C22×D11—21no—
613C22×D11—21no—
614C22×D11—21no—
615C22×D11—21no—
616C22×D11—21no—
617C22×D11—21no—
618C22×D11—21no—
619C22×D11—21no—
620C22×D11—21no—
621C22×D11—21no—
622C22×D11—21no—
623C22×D11—28no—
624C22×D11—28no—
625C22×D11—28no—
626C22×D11—28no—
627C22×D11—28no—
628C22×D11—28no—
629C22×D11—44no—
630C22×D11—44no—
631C22×D11—44no—
632C22×D11—44no—
633C22×D11—44no—
634C22×D11—44no—
635C22×D11—44no—
636C22×D11—44no—
637C22×D11C2×#4112yes—
638C22×D11C2×#4112yes—
639C22×D11C2×#4112yes—
640C22×D11C2×#4112yes—
641C22×D11C2×#4112yes—
642C22×D11C2×#4112yes—
643C22×D11C2×#4112yes—
644C22×D11H(5,𝔽2)12yes—
645C22×D11H(5,𝔽2)12yes—
646D4×C11—44no—
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—21no—
663C2×C4×C11—21no—
664C2×C4×C11—21no—
665C2×C4×C11—21no—
666C2×C4×C11—21no—
667C2×C4×C11—21no—
668C2×C4×C11—21no—
669C2×C4×C11—21no—
670C2×C4×C11—21no—
671C2×C4×C11—21no—
672C2×C4×C11—21no—
673C2×C4×C11—21no—
674C2×C4×C11—21no—
675C2×C4×C11—21no—
676C2×C4×C11—21no—
677C2×C4×C11—21no—
678C2×C4×C11—21no—
679C2×C4×C11—21no—
680C2×C4×C11—21no—
681C2×C4×C11—21no—
682C2×C4×C11—21no—
683C2×C4×C11—44no—
684C2×C4×C11—44no—
685C2×C4×C11C2×#4112yes—
686C2×C4×C11C2×#4112yes—
687C2×C4×C11C2×#4112yes—
688C22⋊D11—44no—
689C22⋊D11—44no—
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—21no—
702C2×Dic11—21no—
703C2×Dic11—21no—
704C2×Dic11—21no—
705C2×Dic11—21no—
706C2×Dic11—21no—
707C2×Dic11—21no—
708C2×Dic11—21no—
709C2×Dic11—21no—
710C2×Dic11—21no—
711C2×Dic11—21no—
712C2×Dic11—21no—
713C2×Dic11—21no—
714C2×Dic11—21no—
715C2×Dic11—21no—
716C2×Dic11—21no—
717C2×Dic11—21no—
718C2×Dic11—21no—
719C2×Dic11—21no—
720C2×Dic11—21no—
721C2×Dic11—21no—
722C2×Dic11—21no—
723C2×Dic11—21no—
724C2×Dic11—21no—
725C2×Dic11—21no—
726C2×Dic11—44no—
727C2×Dic11—44no—
728C2×Dic11C2×#4112yes—
729C2×Dic11C2×#4112yes—
730C2×Dic11C2×#4112yes—
731D44—44no—
732C4×D11—28no—
733C4×D11—28no—
734C4×D11—28no—
735C4×D11—44no—
736C4×D11—44no—
737C4×D11—44no—
738C4×D11—44no—
739C4×D11—44no—
740C4×D11—44no—
741C4×D11—44no—
742C4×D11—44no—
743C4×D11—44no—
744C4×D11—44no—
745C4×D11—44no—
746C4×D11—44no—
747C4×D11—44no—
748C4×D11—44no—
749C23×D4—111no—
750C24×C4—111no—
751C24×C4—111no—
752C22×C4⋊C4—111no—
753C22×C4⋊C4—111no—
754C22×C4⋊C4—111no—
755C22×C4⋊C4—111no—
756C22×C4⋊C4—111no—
757C22×C22⋊C4—111no—
758C22×C22⋊C4—111no—
759C22×C22⋊C4—111no—
760C22×C22⋊C4—111no—
761C22×C22⋊C4—111no—
762C22×C22⋊C4—111no—
763C22×C22⋊C4—111no—
764C22×C22⋊C4—111no—
765C22×C22⋊C4—111no—
766C22×C22⋊C4—111no—
767C22×C42—111no—
768C22×C42—111no—
769C22×C42—111no—
770#401—111no—
771#401—111no—
772#401—111no—
773#401—111no—
774#401—111no—
775#401—111no—
776#401—111no—
777#401C2×D1111yescharacteristic, complemented
778#397—111no—
779#397—111no—
780#397—111no—
781#397—111no—
782#397—111no—
783#397—111no—
784#397—111no—
785#397C2×D1111yescharacteristic, complemented
786#396—111no—
787#396—111no—
788#396—111no—
789#396—111no—
790#396—111no—
791#396—111no—
792#396—111no—
793#396C2×D1111yescharacteristic, complemented
794#394—111no—
795#394—111no—
796#394—111no—
797#394—111no—
798#394—111no—
799#394—111no—
800#394—111no—
801#394C2×D1111yescharacteristic
802#388—111no—
803#388—111no—
804#388—111no—
805#388—111no—
806#388—111no—
807#388—111no—
808#388—111no—
809#388—111no—
810#388—111no—
811#388—111no—
812#388—111no—
813#388—111no—
814#388—111no—
815#388—111no—
816#388C2×D1111yescharacteristic, complemented
817#388C2×D1111yescharacteristic, complemented
818#387—111no—
819#387—111no—
820#387—111no—
821#387—111no—
822#387—111no—
823#387—111no—
824#387—111no—
825#387—111no—
826#387—111no—
827#387—111no—
828#387—111no—
829#387—111no—
830#387—111no—
831#387—111no—
832#387C2×D1111yescharacteristic, complemented
833#387C2×D1111yescharacteristic, complemented
834#386—111no—
835#386—111no—
836#386—111no—
837#386—111no—
838#386—111no—
839#386—111no—
840#386—111no—
841#386—111no—
842#386—111no—
843#386—111no—
844#386—111no—
845#386—111no—
846#386—111no—
847#386—111no—
848#386C2×D1111yescharacteristic
849#386C2×D1111yescharacteristic
850#385—111no—
851#385—111no—
852#385—111no—
853#385—111no—
854#385—111no—
855#385—111no—
856#385—111no—
857#385C2×D1111yescharacteristic, complemented
858#382—111no—
859#382—111no—
860#382—111no—
861#382—111no—
862#382—111no—
863#382—111no—
864#382—111no—
865#382C2×D1111yescharacteristic, complemented
866#381—111no—
867#381—111no—
868#381—111no—
869#381—111no—
870#381—111no—
871#381—111no—
872#381—111no—
873#381C2×D1111yescharacteristic, complemented
874C4×C22⋊C4—111no—
875C4×C22⋊C4—111no—
876C4×C22⋊C4—111no—
877C4×C22⋊C4—111no—
878C4×C22⋊C4—111no—
879C4×C22⋊C4—111no—
880C4×C22⋊C4—111no—
881C4×C22⋊C4—111no—
882C4×C22⋊C4—111no—
883C4×C22⋊C4—111no—
884C4×C22⋊C4—111no—
885C4×C22⋊C4—111no—
886C4×C22⋊C4—111no—
887C4×C22⋊C4—111no—
888C4×C22⋊C4C2×D1111yescharacteristic, complemented
889C4×C22⋊C4C2×D1111yescharacteristic, complemented
890C2×#95—111no—
891C2×#95—111no—
892C2×#95—111no—
893C2×#95—111no—
894C2×#95—111no—
895C2×#95—111no—
896C2×#95—111no—
897C2×#95—111no—
898C2×#95—111no—
899C2×#95—111no—
900C2×#95—111no—
901C2×#95—111no—
902C2×#95—111no—
903C2×#95—111no—
904C22×C11—22no—
905C22×C11—22no—
906C22×C11—22no—
907C22×C11—22no—
908C22×C11—22no—
909C22×C11—22no—
910C22×C11—41no—
911C22×C11—41no—
912C22×C11—41no—
913C22×C11—41no—
914C22×C11—41no—
915C22×C11—41no—
916C22×C11—41no—
917C22×C11—41no—
918C22×C11C22×#4111yescharacteristic
919C22×C11C22×#4111yescharacteristic
920C22×C11C22×#4111yescharacteristic
921C22×C11C22×#4111yescharacteristic
922C22×C11C22×#4111yescharacteristic
923C22×C11C2×H(5,𝔽2)11yescharacteristic
924C22×C11C2×H(5,𝔽2)11yescharacteristic
925C2×D11—22no—
926C2×D11—22no—
927C2×D11—22no—
928C2×D11—22no—
929C2×D11—22no—
930C2×D11—22no—
931C2×D11—41no—
932C2×D11—41no—
933C2×D11—41no—
934C2×D11—41no—
935C2×D11—41no—
936C2×D11—41no—
937C2×D11—41no—
938C2×D11—41no—
939C2×D11—416no—
940C2×D11—416no—
941C2×D11#52914yes—
942C2×D11#52914yes—
943C2×D11#53814yes—
944C2×D11#55114yes—
945C2×D11#55114yes—
946C2×D11#55314yes—
947C2×D11#55314yes—
948C4×C11—22no—
949C4×C11—22no—
950C4×C11—22no—
951C4×C11—41no—
952C4×C11—41no—
953C4×C11—41no—
954C4×C11—41no—
955C4×C11—41no—
956C4×C11—41no—
957C4×C11—41no—
958C4×C11—41no—
959C4×C11—41no—
960C4×C11—41no—
961Dic11—22no—
962Dic11—22no—
963Dic11—22no—
964Dic11—41no—
965Dic11—41no—
966Dic11—41no—
967Dic11—41no—
968Dic11—41no—
969Dic11—41no—
970Dic11—41no—
971Dic11—41no—
972Dic11—41no—
973Dic11—41no—
974C25—111no—
975C25—111no—
976C22×D4—111no—
977C22×D4—111no—
978C22×D4—111no—
979C22×D4—224no—
980C22×D4—224no—
981C22×D4—442no—
982C22×D4C22×D1111yescharacteristic
983C23×C4—111no—
984C23×C4—111no—
985C23×C4—111no—
986C23×C4—111no—
987C23×C4—111no—
988C23×C4—111no—
989C23×C4—111no—
990C23×C4—111no—
991C23×C4—111no—
992C23×C4—111no—
993C23×C4—111no—
994C23×C4—111no—
995C23×C4—111no—
996C23×C4—111no—
997C23×C4—111no—
998C23×C4—111no—
999C23×C4—111no—
1000C23×C4—111no—
1001C23×C4—111no—
1002C23×C4—224no—
1003C23×C4—224no—
1004C23×C4—224no—
1005C23×C4—442no—
1006C23×C4—442no—
1007C23×C4—442no—
1008C23×C4C22×D1111yescharacteristic
1009C23×C4C22×D1111yescharacteristic
1010C2×C4⋊C4—111no—
1011C2×C4⋊C4—111no—
1012C2×C4⋊C4—111no—
1013C2×C4⋊C4—111no—
1014C2×C4⋊C4—111no—
1015C2×C4⋊C4—111no—
1016C2×C4⋊C4—111no—
1017C2×C4⋊C4—111no—
1018C2×C4⋊C4—111no—
1019C2×C4⋊C4—111no—
1020C2×C4⋊C4—111no—
1021C2×C4⋊C4—111no—
1022C2×C4⋊C4—111no—
1023C2×C4⋊C4—111no—
1024C2×C4⋊C4—111no—
1025C2×C4⋊C4—224no—
1026C2×C4⋊C4—224no—
1027C2×C4⋊C4—442no—
1028C2×C4⋊C4—442no—
1029C2×C4⋊C4—442no—
1030C2×C4⋊C4C22×D1111yescharacteristic
1031C2×C4⋊C4C22×D1111yescharacteristic
1032C2×C4⋊C4C22×D1111yescharacteristic
1033C2×C4⋊C4C22×D1111yescharacteristic
1034C2×C4⋊C4C22×D1111yescharacteristic
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—111no—
1050C2×C22⋊C4—111no—
1051C2×C22⋊C4—111no—
1052C2×C22⋊C4—111no—
1053C2×C22⋊C4—111no—
1054C2×C22⋊C4—111no—
1055C2×C22⋊C4—111no—
1056C2×C22⋊C4—111no—
1057C2×C22⋊C4—111no—
1058C2×C22⋊C4—111no—
1059C2×C22⋊C4—111no—
1060C2×C22⋊C4—111no—
1061C2×C22⋊C4—111no—
1062C2×C22⋊C4—111no—
1063C2×C22⋊C4—111no—
1064C2×C22⋊C4—111no—
1065C2×C22⋊C4—224no—
1066C2×C22⋊C4—224no—
1067C2×C22⋊C4—224no—
1068C2×C22⋊C4—224no—
1069C2×C22⋊C4—224no—
1070C2×C22⋊C4—224no—
1071C2×C22⋊C4—224no—
1072C2×C22⋊C4—442no—
1073C2×C22⋊C4—442no—
1074C2×C22⋊C4—442no—
1075C2×C22⋊C4C22×D1111yescharacteristic
1076C2×C22⋊C4C22×D1111yescharacteristic
1077C2×C22⋊C4C22×D1111yescharacteristic
1078C2×C22⋊C4C22×D1111yescharacteristic
1079C2×C22⋊C4C22×D1111yescharacteristic
1080C2×C22⋊C4C22×D1111yescharacteristic
1081C2×C22⋊C4C22×D1111yescharacteristic
1082C2×C22⋊C4C22×D1111yescharacteristic
1083C2×C22⋊C4C22×D1111yescharacteristic
1084C2×C22⋊C4C22×D1111yescharacteristic
1085C2×C42—111no—
1086C2×C42—111no—
1087C2×C42—111no—
1088C2×C42—111no—
1089C2×C42—111no—
1090C2×C42—111no—
1091C2×C42—111no—
1092C2×C42—111no—
1093C2×C42—111no—
1094C2×C42—224no—
1095C2×C42—442no—
1096C2×C42—442no—
1097C2×C42C22×D1111yescharacteristic
1098C2×C42C22×D1111yescharacteristic
1099C2×C42C22×D1111yescharacteristic
1100#95—111no—
1101#95—111no—
1102#95—111no—
1103#95—111no—
1104#95—111no—
1105#95—111no—
1106#95—111no—
1107#95—111no—
1108#95—111no—
1109#95—111no—
1110#95—111no—
1111#95—111no—
1112#95—111no—
1113#95—111no—
1114#95—111no—
1115#95—111no—
1116#95—111no—
1117#95—111no—
1118#95—111no—
1119#95—111no—
1120#95—111no—
1121#95—111no—
1122#95—111no—
1123#95—111no—
1124#95—111no—
1125#95—111no—
1126#95—111no—
1127#95—111no—
1128#95—111no—
1129#95—111no—
1130#95—111no—
1131#95—111no—
1132#95—111no—
1133#95—111no—
1134#95—111no—
1135#95—111no—
1136#95—111no—
1137#95—111no—
1138#95—111no—
1139#95—111no—
1140#95—111no—
1141#95—111no—
1142#95C22×D1111yescharacteristic
1143#95C22×D1111yescharacteristic
1144#95C22×D1111yescharacteristic
1145#95C22×D1111yescharacteristic
1146#95C22×D1111yescharacteristic
1147#95C22×D1111yescharacteristic
1148#95C22×D1111yescharacteristic
1149#95C22×D1111yescharacteristic
1150#95C22×D1111yescharacteristic
1151#95C22×D1111yescharacteristic
1152#95C22×D1111yescharacteristic
1153#95C22×D1111yescharacteristic
1154#95C22×D1111yescharacteristic
1155#95C22×D1111yescharacteristic
1156C2×C11—42no—
1157C2×C11—42no—
1158C2×C11C2×#52911yescharacteristic
1159C2×C11C2×#52911yescharacteristic
1160C2×C11C2×#53811yescharacteristic
1161C2×C11C2×#55111yescharacteristic
1162C2×C11C2×#55111yescharacteristic
1163C2×C11C2×#55311yescharacteristic
1164C2×C11C2×#55311yescharacteristic
1165D11—42no—
1166D11—42no—
1167D11#257618yesdirect product factor
1168C24—111no—
1169C24—114no—
1170C24—114no—
1171C24—111no—
1172C24—111no—
1173C24—222no—
1174C24—222no—
1175C24—222no—
1176C24—222no—
1177C24—222no—
1178C24—222no—
1179C24—222no—
1180C24—222no—
1181C24—222no—
1182C24—222no—
1183C24—222no—
1184C24—222no—
1185C24C23×D1111yescharacteristic
1186C24C23×D1111yescharacteristic
1187C2×D4—22no—
1188C2×D4—22no—
1189C2×D4—41no—
1190C2×D4—222no—
1191C2×D4—222no—
1192C2×D4—222no—
1193C2×D4—222no—
1194C2×D4—222no—
1195C2×D4—222no—
1196C2×D4—441no—
1197C2×D4—441no—
1198C2×D4—441no—
1199C2×D4—4416no—
1200C22×C4—22no—
1201C22×C4—22no—
1202C22×C4—22no—
1203C22×C4—41no—
1204C22×C4—41no—
1205C22×C4—41no—
1206C22×C4—111no—
1207C22×C4—111no—
1208C22×C4—111no—
1209C22×C4—114no—
1210C22×C4—114no—
1211C22×C4—114no—
1212C22×C4—111no—
1213C22×C4—111no—
1214C22×C4—111no—
1215C22×C4—111no—
1216C22×C4—111no—
1217C22×C4—111no—
1218C22×C4—111no—
1219C22×C4—111no—
1220C22×C4—111no—
1221C22×C4—111no—
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—222no—
1239C22×C4—222no—
1240C22×C4—222no—
1241C22×C4—222no—
1242C22×C4—222no—
1243C22×C4—222no—
1244C22×C4—222no—
1245C22×C4—222no—
1246C22×C4—222no—
1247C22×C4—222no—
1248C22×C4—222no—
1249C22×C4—222no—
1250C22×C4—222no—
1251C22×C4—222no—
1252C22×C4—222no—
1253C22×C4—222no—
1254C22×C4—222no—
1255C22×C4—222no—
1256C22×C4—222no—
1257C22×C4—222no—
1258C22×C4—222no—
1259C22×C4—222no—
1260C22×C4—222no—
1261C22×C4—222no—
1262C22×C4—222no—
1263C22×C4—222no—
1264C22×C4—222no—
1265C22×C4—222no—
1266C22×C4—222no—
1267C22×C4—441no—
1268C22×C4—441no—
1269C22×C4—441no—
1270C22×C4—441no—
1271C22×C4—441no—
1272C22×C4—441no—
1273C22×C4—4416no—
1274C22×C4—4416no—
1275C22×C4—441no—
1276C22×C4—441no—
1277C22×C4—441no—
1278C22×C4C23×D1111yescharacteristic
1279C22×C4C23×D1111yescharacteristic
1280C22×C4C23×D1111yescharacteristic
1281C22×C4C23×D1111yescharacteristic
1282C22×C4C23×D1111yescharacteristic
1283C22×C4C23×D1111yescharacteristic
1284C22×C4C23×D1111yescharacteristic
1285C22×C4C23×D1111yescharacteristic
1286C22×C4C23×D1111yescharacteristic
1287C22×C4C23×D1111yescharacteristic
1288C22×C4C23×D1111yescharacteristic
1289C22×C4C23×D1111yescharacteristic
1290C22×C4C23×D1111yescharacteristic
1291C4⋊C4—22no—
1292C4⋊C4—22no—
1293C4⋊C4—41no—
1294C4⋊C4—41no—
1295C4⋊C4—41no—
1296C4⋊C4—222no—
1297C4⋊C4—222no—
1298C4⋊C4—222no—
1299C4⋊C4—222no—
1300C4⋊C4—222no—
1301C4⋊C4—222no—
1302C4⋊C4—441no—
1303C4⋊C4—441no—
1304C4⋊C4—441no—
1305C4⋊C4—441no—
1306C4⋊C4—441no—
1307C4⋊C4—441no—
1308C4⋊C4—441no—
1309C4⋊C4—441no—
1310C4⋊C4—441no—
1311C22⋊C4—22no—
1312C22⋊C4—22no—
1313C22⋊C4—22no—
1314C22⋊C4—22no—
1315C22⋊C4—22no—
1316C22⋊C4—22no—
1317C22⋊C4—22no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—222no—
1322C22⋊C4—222no—
1323C22⋊C4—222no—
1324C22⋊C4—222no—
1325C22⋊C4—222no—
1326C22⋊C4—222no—
1327C22⋊C4—222no—
1328C22⋊C4—222no—
1329C22⋊C4—222no—
1330C22⋊C4—222no—
1331C22⋊C4—222no—
1332C22⋊C4—222no—
1333C22⋊C4—222no—
1334C22⋊C4—222no—
1335C22⋊C4—222no—
1336C22⋊C4—222no—
1337C22⋊C4—222no—
1338C22⋊C4—222no—
1339C22⋊C4—222no—
1340C22⋊C4—222no—
1341C22⋊C4—222no—
1342C22⋊C4—441no—
1343C22⋊C4—441no—
1344C22⋊C4—441no—
1345C22⋊C4—441no—
1346C22⋊C4—441no—
1347C22⋊C4—441no—
1348C22⋊C4—441no—
1349C22⋊C4—441no—
1350C22⋊C4—441no—
1351C42—22no—
1352C42—41no—
1353C42—41no—
1354C42—222no—
1355C42—222no—
1356C42—222no—
1357C42—441no—
1358C42—441no—
1359C42—441no—
1360C42—441no—
1361C42—441no—
1362C42—441no—
1363C11C2×#257611yescharacteristic, complemented, Sylow
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—112no—
1377C23—112no—
1378C23—112no—
1379C23—112no—
1380C23—112no—
1381C23—112no—
1382C23—112no—
1383C23—112no—
1384C23—112no—
1385C23—228no—
1386C23—228no—
1387C23—228no—
1388C23—228no—
1389C23—228no—
1390C23—228no—
1391C23—221no—
1392C23—221no—
1393C23—221no—
1394C23—221no—
1395C23—221no—
1396C23—221no—
1397C23—221no—
1398C23—221no—
1399C23—221no—
1400C23—221no—
1401C23—221no—
1402C23—221no—
1403C23—444no—
1404C23—444no—
1405C23—444no—
1406C23—444no—
1407C23—444no—
1408C23—444no—
1409C23—444no—
1410C23—444no—
1411C23#41×D1112yes—
1412C23#41×D1112yes—
1413C23C24×D1111yescharacteristic
1414D4—44no—
1415D4—444no—
1416D4—444no—
1417D4—444no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—44no—
1455C2×C4—44no—
1456C2×C4—112no—
1457C2×C4—112no—
1458C2×C4—112no—
1459C2×C4—228no—
1460C2×C4—228no—
1461C2×C4—228no—
1462C2×C4—221no—
1463C2×C4—221no—
1464C2×C4—221no—
1465C2×C4—221no—
1466C2×C4—221no—
1467C2×C4—221no—
1468C2×C4—221no—
1469C2×C4—221no—
1470C2×C4—221no—
1471C2×C4—221no—
1472C2×C4—221no—
1473C2×C4—221no—
1474C2×C4—221no—
1475C2×C4—221no—
1476C2×C4—221no—
1477C2×C4—221no—
1478C2×C4—221no—
1479C2×C4—221no—
1480C2×C4—221no—
1481C2×C4—221no—
1482C2×C4—221no—
1483C2×C4—221no—
1484C2×C4—221no—
1485C2×C4—221no—
1486C2×C4—221no—
1487C2×C4—221no—
1488C2×C4—221no—
1489C2×C4—221no—
1490C2×C4—221no—
1491C2×C4—221no—
1492C2×C4—221no—
1493C2×C4—221no—
1494C2×C4—221no—
1495C2×C4—221no—
1496C2×C4—221no—
1497C2×C4—221no—
1498C2×C4—444no—
1499C2×C4—444no—
1500C2×C4—444no—
1501C2×C4—444no—
1502C2×C4—444no—
1503C2×C4—444no—
1504C2×C4—444no—
1505C2×C4—444no—
1506C2×C4—444no—
1507C2×C4—444no—
1508C2×C4—444no—
1509C2×C4—444no—
1510C2×C4—444no—
1511C2×C4—444no—
1512C2×C4—444no—
1513C2×C4—444no—
1514C2×C4#41×D1112yes—
1515C2×C4#41×D1112yes—
1516C2×C4#41×D1112yes—
1517C22—22no—
1518C22—22no—
1519C22—22no—
1520C22—22no—
1521C22—22no—
1522C22—22no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—114no—
1532C22—114no—
1533C22—114no—
1534C22—114no—
1535C22—114no—
1536C22—114no—
1537C22—114no—
1538C22—222no—
1539C22—222no—
1540C22—222no—
1541C22—222no—
1542C22—222no—
1543C22—222no—
1544C22—4416no—
1545C22—4416no—
1546C22—441no—
1547C22—441no—
1548C22—441no—
1549C22—441no—
1550C22—441no—
1551C22—441no—
1552C22—441no—
1553C22—441no—
1554C22C2×#41×D1111yescharacteristic
1555C22C2×#41×D1111yescharacteristic
1556C22C2×#41×D1111yescharacteristic
1557C22C2×#41×D1111yescharacteristic
1558C22C2×#41×D1111yescharacteristic
1559C22D11×H(5,𝔽2)11yescharacteristic
1560C22D11×H(5,𝔽2)11yescharacteristic
1561C4—22no—
1562C4—22no—
1563C4—22no—
1564C4—41no—
1565C4—41no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C4—41no—
1573C4—41no—
1574C4—222no—
1575C4—222no—
1576C4—222no—
1577C4—441no—
1578C4—441no—
1579C4—441no—
1580C4—441no—
1581C4—441no—
1582C4—441no—
1583C4—441no—
1584C4—441no—
1585C4—441no—
1586C4—441no—
1587C2—42no—
1588C2—42no—
1589C2—118no—
1590C2—442no—
1591C2—442no—
1592C2D11×#52911yescharacteristic
1593C2D11×#52911yescharacteristic
1594C2D11×#53811yescharacteristic
1595C2D11×#55111yescharacteristic
1596C2D11×#55111yescharacteristic
1597C2D11×#55311yescharacteristic
1598C2D11×#55311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2576C2
prime radicalC22×D4×D11C22
hypercenter#2576D11
hypocenterC11C2×#2576
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2576

Complements

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

NH ≅ G/Ntype
1. #13073927C2semidirect
2. #13073926C2semidirect
3. #13073925C2semidirect
4. #13073924C2semidirect
5. #13073923C2semidirect
6. #13073922C2semidirect
7. #13073921C2semidirect
8. #13073920C2semidirect
9. #13073919C2semidirect
10. #13073918C2semidirect
11. #13073917C2semidirect
12. #13073916C2semidirect
13. #13073915C2semidirect
14. #13073914C2semidirect
15. #13073913C2semidirect
16. D11×#401C2semidirect
17. D11×#397C2semidirect
18. D11×#396C2semidirect
20. D11×#388C2semidirect
21. D11×#388C2semidirect
22. D11×#387C2semidirect
23. D11×#387C2semidirect
26. D11×#385C2semidirect
27. D11×#382C2semidirect
28. D11×#381C2semidirect
29. C4×C22⋊C4×D11C2semidirect
30. C4×C22⋊C4×D11C2semidirect
31. C11×#2576C2semidirect
53. C11×#401C22semidirect
54. C11×#397C22semidirect
55. C11×#396C22semidirect
57. C11×#388C22semidirect
58. C11×#388C22semidirect
59. C11×#387C22semidirect
60. C11×#387C22semidirect
63. C11×#385C22semidirect
64. C11×#382C22semidirect
65. C11×#381C22semidirect
66. C4×C11×C22⋊C4C22semidirect
67. C4×C11×C22⋊C4C22semidirect
73. #10622824C22semidirect
74. #10622823C22semidirect
75. C4×C22⋊Dic11C22semidirect
76. C4×C22⋊Dic11C22semidirect
77. #10622607C22semidirect
78. #10622607C22semidirect
79. #10622607C22semidirect
80. #10622606C22semidirect
82. #10622603C22semidirect
83. #10622603C22semidirect
84. #10622602C22semidirect
85. #10622602C22semidirect
86. #10622594C22semidirect
87. #10622594C22semidirect
88. #10622591C22semidirect
89. #10622591C22semidirect
90. #10622590C22semidirect
91. #10622590C22semidirect
102. #10622566C22semidirect
103. #10622565C22semidirect
104. #10622565C22semidirect
105. #10622564C22semidirect
106. #10622564C22semidirect
107. #10622563C22semidirect
108. #10622561C22semidirect
109. #10622561C22semidirect
110. #10622561C22semidirect
111. #10622559C22semidirect
112. #10622558C22semidirect
113. #10622558C22semidirect
114. #10622557C22semidirect
115. #10622557C22semidirect
116. #10622556C22semidirect
117. #10622556C22semidirect
118. C22⋊C4×Dic11C22semidirect
119. C22⋊C4×Dic11C22semidirect
120. C22⋊C4×Dic11C22semidirect
121. C22⋊C4×Dic11C22semidirect
122. #10622553C22semidirect
123. #10622553C22semidirect
124. C4×(C2×D11)⋊C4C22semidirect
125. C4×(C2×D11)⋊C4C22semidirect
126. C4×(C2×D11)⋊C4C22semidirect
127. C4×(C2×D11)⋊C4C22semidirect
128. #10622549C22semidirect
129. #10622546C22semidirect
130. #10622546C22semidirect
131. #10622289C22semidirect
132. #10622288C22semidirect
133. #10622288C22semidirect
134. #10622287C22semidirect
136. #10622283C22semidirect
137. #10622283C22semidirect
138. #10622282C22semidirect
139. #10622282C22semidirect
140. #10622281C22semidirect
141. #10622281C22semidirect
142. #10622279C22semidirect
143. #10622279C22semidirect
144. #10622279C22semidirect
145. #10622279C22semidirect
150. #10622277C22semidirect
151. #10622277C22semidirect
152. #10622277C22semidirect
153. #10622277C22semidirect
168. C11⋊#401C22semidirect
169. C11⋊#401C22semidirect
170. C11⋊#401C22semidirect
171. C11⋊#401C22semidirect
172. C11⋊#401C22semidirect
173. C11⋊#401C22semidirect
174. C11⋊#401C22semidirect
175. #10622268C22semidirect
176. #10622268C22semidirect
177. #10622267C22semidirect
178. #10622267C22semidirect
179. #10622266C22semidirect
180. #10622266C22semidirect
181. #10622265C22semidirect
182. #10622265C22semidirect
183. #10622263C22semidirect
184. #10622263C22semidirect
185. #10622263C22semidirect
186. #10622263C22semidirect
580. #2576D11direct (N × H)
777. #401C2×D11semidirect
785. #397C2×D11semidirect
793. #396C2×D11semidirect
816. #388C2×D11semidirect
817. #388C2×D11semidirect
832. #387C2×D11semidirect
833. #387C2×D11semidirect
857. #385C2×D11semidirect
865. #382C2×D11semidirect
873. #381C2×D11semidirect
888. C4×C22⋊C4C2×D11semidirect
889. C4×C22⋊C4C2×D11semidirect
1167. D11#2576direct (N × H)
1363. C11C2×#2576semidirect

Maximal subgroups

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

subgroupindex
#130739272
#130739262
#130739252
#130739242
#130739232
#130739222
#130739212
#130739202
#130739192
#130739182
#130739172
#130739162
#130739152
#130739142
#130739132
D11×#4012
D11×#3972
D11×#3962
D11×#3942
D11×#3882
D11×#3872
D11×#3862
D11×#3852
D11×#3822
D11×#3812
C4×C22⋊C4×D112
C11×#25762
C2×#257611