Finite Group Databasebeta

← D11×#2531 #14923369

Subgroups — D11×#2531 #14923369

Order 2816.

2442 conjugacy classes of subgroups.

The subgroup lattice has 1590 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13073470C211yesmaximal, characteristic, complemented
2#13073469C211yesmaximal, characteristic, complemented
3#13073468C211yesmaximal, characteristic, complemented
4#13073467C211yesmaximal, characteristic, complemented
5#13073466C211yesmaximal, characteristic, complemented
6#13073465C211yesmaximal, characteristic, complemented
7#13073464C211yesmaximal, characteristic, complemented
8#13073463C211yesmaximal, characteristic, complemented
9#13073462C211yesmaximal, characteristic, complemented
10#13073461C211yesmaximal, characteristic, complemented
11#13073460C211yesmaximal, characteristic, complemented
12#13073459C211yesmaximal, characteristic, complemented
13#13073458C211yesmaximal, characteristic, complemented
14#13073457C211yesmaximal, characteristic, complemented
15#13073456C211yesmaximal, characteristic, complemented
16D11×#398C211yesmaximal, characteristic, complemented
17D11×#397C211yesmaximal, characteristic, complemented
18D11×#397C211yesmaximal, characteristic, complemented
19D11×#394C211yesmaximal, characteristic
20D11×#390C211yesmaximal, characteristic
21D11×#388C211yesmaximal, characteristic, complemented
22D11×#388C211yesmaximal, characteristic, complemented
23D11×#388C211yesmaximal, characteristic, complemented
24D11×#388C211yesmaximal, characteristic, complemented
25D11×#387C211yesmaximal, characteristic, complemented
26D11×#387C211yesmaximal, characteristic, complemented
27D11×#386C211yesmaximal, characteristic
28D11×#380C211yesmaximal, characteristic, complemented
29C4×C22⋊C4×D11C211yesmaximal, characteristic, complemented
30D11×#376C211yesmaximal, characteristic, complemented
31C11×#2531C211yesmaximal, characteristic, complemented
32C22×D4×D11C2211yescharacteristic
33C23×C4×D11C2211yescharacteristic
34C2×C4⋊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×C22⋊C4×D11C2211yescharacteristic
51C2×C42×D11C2211yescharacteristic
52C2×C42×D11C2211yescharacteristic
53C2×C42×D11C2211yescharacteristic
54C2×C42×D11C2211yescharacteristic
55C11×#398C2211yescharacteristic, complemented
56C11×#397C2211yescharacteristic, complemented
57C11×#397C2211yescharacteristic, complemented
58C11×#394C2211yescharacteristic
59C11×#390C2211yescharacteristic
60C11×#388C2211yescharacteristic, complemented
61C11×#388C2211yescharacteristic, complemented
62C11×#388C2211yescharacteristic, complemented
63C11×#388C2211yescharacteristic, complemented
64C11×#387C2211yescharacteristic, complemented
65C11×#387C2211yescharacteristic, complemented
66C11×#386C2211yescharacteristic
67C11×#380C2211yescharacteristic, complemented
68C4×C11×C22⋊C4C2211yescharacteristic, complemented
69C11×#376C2211yescharacteristic, complemented
70#10622835C2211yescharacteristic
71#10622834C2211yescharacteristic
72#10622833C2211yescharacteristic
73#10622826C2211yescharacteristic
74#10622825C2211yescharacteristic, complemented
75C4×C22⋊Dic11C2211yescharacteristic, complemented
76#10622606C2211yescharacteristic, complemented
77#10622606C2211yescharacteristic, complemented
78#10622604C2211yescharacteristic
79#10622603C2211yescharacteristic, complemented
80#10622603C2211yescharacteristic, complemented
81#10622603C2211yescharacteristic, complemented
82#10622603C2211yescharacteristic, complemented
83#10622601C2211yescharacteristic
84#10622600C2211yescharacteristic, complemented
85#10622600C2211yescharacteristic, complemented
86#10622597C2211yescharacteristic, complemented
87#10622597C2211yescharacteristic, complemented
88#10622596C2211yescharacteristic, complemented
89#10622594C2211yescharacteristic, complemented
90#10622594C2211yescharacteristic, complemented
91#10622593C2211yescharacteristic, complemented
92#10622591C2211yescharacteristic, complemented
93#10622591C2211yescharacteristic, complemented
94#10622574C2211yescharacteristic
95#10622574C2211yescharacteristic
96#10622572C2211yescharacteristic
97#10622572C2211yescharacteristic
98#10622571C2211yescharacteristic
99#10622570C2211yescharacteristic
100#10622570C2211yescharacteristic
101#10622570C2211yescharacteristic
102#10622570C2211yescharacteristic
103#10622569C2211yescharacteristic
104#10622569C2211yescharacteristic
105#10622566C2211yescharacteristic, complemented
106#10622566C2211yescharacteristic, complemented
107#10622565C2211yescharacteristic, complemented
108#10622565C2211yescharacteristic, complemented
109#10622565C2211yescharacteristic, complemented
110#10622565C2211yescharacteristic, complemented
111#10622564C2211yescharacteristic, complemented
112#10622564C2211yescharacteristic, complemented
113#10622564C2211yescharacteristic, complemented
114#10622564C2211yescharacteristic, complemented
115#10622558C2211yescharacteristic, complemented
116#10622558C2211yescharacteristic, complemented
117#10622558C2211yescharacteristic, complemented
118#10622558C2211yescharacteristic, complemented
119#10622557C2211yescharacteristic, complemented
120#10622557C2211yescharacteristic, complemented
121#10622557C2211yescharacteristic, complemented
122#10622557C2211yescharacteristic, complemented
123#10622555C2211yescharacteristic, complemented
124#10622555C2211yescharacteristic, complemented
125C22⋊C4×Dic11C2211yescharacteristic, complemented
126C22⋊C4×Dic11C2211yescharacteristic, complemented
127#10622553C2211yescharacteristic, complemented
128#10622553C2211yescharacteristic, complemented
129#10622553C2211yescharacteristic, complemented
130#10622553C2211yescharacteristic, complemented
131#10622552C2211yescharacteristic
132C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
133C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
134#10622546C2211yescharacteristic, complemented
135#10622546C2211yescharacteristic, complemented
136#10622545C2211yescharacteristic, complemented
137#10622545C2211yescharacteristic, complemented
138#10622545C2211yescharacteristic, complemented
139#10622288C2211yescharacteristic, complemented
140#10622288C2211yescharacteristic, complemented
141#10622288C2211yescharacteristic, complemented
142#10622288C2211yescharacteristic, complemented
143#10622287C2211yescharacteristic, complemented
144#10622287C2211yescharacteristic, complemented
145#10622285C2211yescharacteristic
146#10622283C2211yescharacteristic, complemented
147#10622283C2211yescharacteristic, complemented
148#10622283C2211yescharacteristic, complemented
149#10622283C2211yescharacteristic, complemented
150#10622282C2211yescharacteristic, complemented
151#10622282C2211yescharacteristic, complemented
152#10622282C2211yescharacteristic, complemented
153#10622282C2211yescharacteristic, complemented
154#10622280C2211yescharacteristic, complemented
155#10622280C2211yescharacteristic, complemented
156#10622279C2211yescharacteristic, complemented
157#10622279C2211yescharacteristic, complemented
158#10622278C2211yescharacteristic
159#10622278C2211yescharacteristic
160D11×#95C2211yescharacteristic
161D11×#95C2211yescharacteristic
162D11×#95C2211yescharacteristic
163D11×#95C2211yescharacteristic
164D11×#95C2211yescharacteristic
165D11×#95C2211yescharacteristic
166D11×#95C2211yescharacteristic
167D11×#95C2211yescharacteristic
168D11×#95C2211yescharacteristic
169D11×#95C2211yescharacteristic
170D11×#95C2211yescharacteristic
171D11×#95C2211yescharacteristic
172#10622274C2211yescharacteristic, complemented
173#10622270C2211yescharacteristic, complemented
174#10622270C2211yescharacteristic, 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#10622261C2211yescharacteristic, complemented
184#10622261C2211yescharacteristic, complemented
185#10622261C2211yescharacteristic, complemented
186#10622261C2211yescharacteristic, complemented
187C24×D11C2311yescharacteristic
188C24×D11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C22×C22⋊D11C2311yescharacteristic
192C22×C22⋊D11C2311yescharacteristic
193C23×Dic11C2311yescharacteristic
194C2×D4×D11—24no—
195C2×D4×D11—24no—
196C2×D4×D11—42no—
197C22×D44C2311yescharacteristic
198C22×C4×D11—24no—
199C22×C4×D11—24no—
200C22×C4×D11—42no—
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×C4×D11C2311yescharacteristic
211C22×C4×D11C2311yescharacteristic
212C22×C4×D11C2311yescharacteristic
213C22×C4×D11C2311yescharacteristic
214C22×C4×D11C2311yescharacteristic
215C22×C4×D11C2311yescharacteristic
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C4⋊C4C2311yescharacteristic
219C2×C11×C4⋊C4C2311yescharacteristic
220C2×C11×C4⋊C4C2311yescharacteristic
221C2×C11×C4⋊C4C2311yescharacteristic
222C2×C11×C22⋊C4C2311yescharacteristic
223C2×C11×C22⋊C4C2311yescharacteristic
224C2×C11×C22⋊C4C2311yescharacteristic
225C2×C11×C22⋊C4C2311yescharacteristic
226C2×C11×C22⋊C4C2311yescharacteristic
227C2×C11×C22⋊C4C2311yescharacteristic
228C2×C11×C22⋊C4C2311yescharacteristic
229C2×C11×C22⋊C4C2311yescharacteristic
230C2×C11×C22⋊C4C2311yescharacteristic
231C2×C11×C22⋊C4C2311yescharacteristic
232C2×C11×C22⋊C4C2311yescharacteristic
233C2×C42×C11C2311yescharacteristic
234C2×C42×C11C2311yescharacteristic
235C2×C42×C11C2311yescharacteristic
236C2×C42×C11C2311yescharacteristic
237C2×C22⋊Dic11C2311yescharacteristic
238C2×C22⋊Dic11C2311yescharacteristic
239C2×C22⋊Dic11C2311yescharacteristic
240C2×C22⋊Dic11C2311yescharacteristic
241C2×C22⋊Dic11C2311yescharacteristic
242C2×C22⋊Dic11C2311yescharacteristic
243C2×C22⋊Dic11C2311yescharacteristic
244C2×C22⋊Dic11C2311yescharacteristic
245C2×C22⋊Dic11C2311yescharacteristic
246C2×C22⋊Dic11C2311yescharacteristic
247C2×C22⋊Dic11C2311yescharacteristic
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
298C2×C4×Dic11C2311yescharacteristic
299C2×C4×Dic11C2311yescharacteristic
300C4⋊C4×D11—24no—
301C4⋊C4×D11—24no—
302C4⋊C4×D11—42no—
303C4⋊C4×D11—42no—
304C4⋊C4×D11—42no—
305C4⋊C4×D11—42no—
306C22⋊C4×D11—24no—
307C22⋊C4×D11—24no—
308C22⋊C4×D11—24no—
309C22⋊C4×D11—24no—
310C22⋊C4×D11—24no—
311C22⋊C4×D11—24no—
312C22⋊C4×D11—42no—
313C22⋊C4×D11—42no—
314C22⋊C4×D11—42no—
315C22⋊C4×D11—42no—
316C22⋊C4×D11—42no—
317C42×D11—24no—
318C42×D11—24no—
319C42×D11—24no—
320C42×D11—42no—
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×#2531—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—22no—
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—41no—
395C22×C4×C11C2411yescharacteristic
396C22×C4×C11C2411yescharacteristic
397C22×C4×C11C2411yescharacteristic
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
408C2×C22⋊D11—22no—
409C2×C22⋊D11—22no—
410C2×C22⋊D11—22no—
411C2×C22⋊D11—22no—
412C2×C22⋊D11—41no—
413C2×C22⋊D11—41no—
414C22×Dic11—22no—
415C22×Dic11—22no—
416C22×Dic11—41no—
417C22×Dic11C2411yescharacteristic
418C22×Dic11C2411yescharacteristic
419C22×Dic11C2411yescharacteristic
420C22×Dic11C2411yescharacteristic
421C22×Dic11C2411yescharacteristic
422C22×Dic11C2411yescharacteristic
423C22×Dic11C2411yescharacteristic
424C22×Dic11C2411yescharacteristic
425C22×Dic11C2411yescharacteristic
426C22×Dic11C2411yescharacteristic
427C22×Dic11C2411yescharacteristic
428C22×Dic11C2411yescharacteristic
429C22×Dic11C2411yescharacteristic
430D4×D11—416no—
431C2×D44—22no—
432C2×D44—22no—
433C2×D44—41no—
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—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—41no—
474C2×C4×D11—41no—
475C2×C4×D11—416no—
476C2×C4×D11#4114yes—
477C2×C4×D11#4114yes—
478C2×C4×D11#4114yes—
479C2×C4×D11#4114yes—
480C11×C4⋊C4—22no—
481C11×C4⋊C4—22no—
482C11×C4⋊C4—41no—
483C11×C4⋊C4—41no—
484C11×C4⋊C4—41no—
485C11×C4⋊C4—41no—
486C11×C22⋊C4—22no—
487C11×C22⋊C4—22no—
488C11×C22⋊C4—22no—
489C11×C22⋊C4—22no—
490C11×C22⋊C4—22no—
491C11×C22⋊C4—22no—
492C11×C22⋊C4—41no—
493C11×C22⋊C4—41no—
494C11×C22⋊C4—41no—
495C11×C22⋊C4—41no—
496C11×C22⋊C4—41no—
497C42×C11—22no—
498C42×C11—22no—
499C42×C11—22no—
500C42×C11—41no—
501C22⋊Dic11—22no—
502C22⋊Dic11—22no—
503C22⋊Dic11—22no—
504C22⋊Dic11—22no—
505C22⋊Dic11—22no—
506C22⋊Dic11—22no—
507C22⋊Dic11—41no—
508C22⋊Dic11—41no—
509C22⋊Dic11—41no—
510C22⋊Dic11—41no—
511C22⋊Dic11—41no—
512(C2×D11)⋊C4—22no—
513(C2×D11)⋊C4—22no—
514(C2×D11)⋊C4—22no—
515(C2×D11)⋊C4—22no—
516(C2×D11)⋊C4—22no—
517(C2×D11)⋊C4—22no—
518(C2×D11)⋊C4—22no—
519(C2×D11)⋊C4—22no—
520(C2×D11)⋊C4—22no—
521(C2×D11)⋊C4—22no—
522(C2×D11)⋊C4—22no—
523(C2×D11)⋊C4—22no—
524(C2×D11)⋊C4—41no—
525(C2×D11)⋊C4—41no—
526(C2×D11)⋊C4—41no—
527(C2×D11)⋊C4—41no—
528(C2×D11)⋊C4—41no—
529(C2×D11)⋊C4—41no—
530(C2×D11)⋊C4—41no—
531(C2×D11)⋊C4—41no—
532(C2×D11)⋊C4—41no—
533(C2×D11)⋊C4—41no—
534C4⋊Dic11—22no—
535C4⋊Dic11—22no—
536C4⋊Dic11—41no—
537C4⋊Dic11—41no—
538C4⋊Dic11—41no—
539C4⋊Dic11—41no—
540Dic11⋊C4—22no—
541Dic11⋊C4—22no—
542Dic11⋊C4—22no—
543Dic11⋊C4—22no—
544Dic11⋊C4—41no—
545Dic11⋊C4—41no—
546Dic11⋊C4—41no—
547Dic11⋊C4—41no—
548Dic11⋊C4—41no—
549Dic11⋊C4—41no—
550Dic11⋊C4—41no—
551Dic11⋊C4—41no—
552C4×Dic11—22no—
553C4×Dic11—22no—
554C4×Dic11—22no—
555C4×Dic11—22no—
556C4×Dic11—22no—
557C4×Dic11—22no—
558C4×Dic11—22no—
559C4×Dic11—22no—
560C4×Dic11—22no—
561C4×Dic11—41no—
562C4×Dic11—41no—
563C4×Dic11—41no—
564#2531—111no—
565#2531—111no—
566#2531—111no—
567#2531—111no—
568#2531—111no—
569#2531—111no—
570#2531—111no—
571#2531—111no—
572#2531—111no—
573#2531—111no—
574#2531—111no—
575#2531—111no—
576#2531—111no—
577#2531—111no—
578#2531—111no—
579#2531D1111yescharacteristic, direct product factor
580C2×#398—111no—
581C2×#397—111no—
582C2×#397—111no—
583C2×#394—111no—
584C2×#390—111no—
585C2×#388—111no—
586C2×#388—111no—
587C2×#388—111no—
588C2×#388—111no—
589C2×#387—111no—
590C2×#387—111no—
591C2×#386—111no—
592C2×#380—111no—
593C2×C4×C22⋊C4—111no—
594C2×#376—111no—
595C23×C11—21no—
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×C11C2511yescharacteristic
610C22×D11—21no—
611C22×D11—21no—
612C22×D11—21no—
613C22×D11—21no—
614C22×D11—21no—
615C22×D11—21no—
616C22×D11—28no—
617C22×D11—28no—
618C22×D11—28no—
619C22×D11—21no—
620C22×D11—21no—
621C22×D11—21no—
622C22×D11—21no—
623C22×D11—21no—
624C22×D11—21no—
625C22×D11—21no—
626C22×D11—44no—
627C22×D11—44no—
628C22×D11—44no—
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×D11H(5,𝔽2)12yes—
644C22×D11H(5,𝔽2)12yes—
645D4×C11—44no—
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—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—44no—
682C2×C4×C11C2×#4112yes—
683C2×C4×C11C2×#4112yes—
684C2×C4×C11C2×#4112yes—
685C2×C4×C11C2×#4112yes—
686C22⋊D11—44no—
687C22⋊D11—44no—
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—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—44no—
724C2×Dic11C2×#4112yes—
725C2×Dic11C2×#4112yes—
726C2×Dic11C2×#4112yes—
727C2×Dic11C2×#4112yes—
728D44—44no—
729C4×D11—28no—
730C4×D11—28no—
731C4×D11—28no—
732C4×D11—28no—
733C4×D11—44no—
734C4×D11—44no—
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—
744C23×D4—111no—
745C24×C4—111no—
746C22×C4⋊C4—111no—
747C22×C4⋊C4—111no—
748C22×C4⋊C4—111no—
749C22×C4⋊C4—111no—
750C22×C4⋊C4—111no—
751C22×C4⋊C4—111no—
752C22×C22⋊C4—111no—
753C22×C22⋊C4—111no—
754C22×C22⋊C4—111no—
755C22×C22⋊C4—111no—
756C22×C22⋊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×C42—111no—
764C22×C42—111no—
765C22×C42—111no—
766C22×C42—111no—
767#398—111no—
768#398—111no—
769#398—111no—
770#398—111no—
771#398—111no—
772#398—111no—
773#398—111no—
774#398C2×D1111yescharacteristic, complemented
775#397—111no—
776#397—111no—
777#397—111no—
778#397—111no—
779#397—111no—
780#397—111no—
781#397—111no—
782#397—111no—
783#397—111no—
784#397—111no—
785#397—111no—
786#397—111no—
787#397—111no—
788#397—111no—
789#397C2×D1111yescharacteristic, complemented
790#397C2×D1111yescharacteristic, complemented
791#394—111no—
792#394—111no—
793#394—111no—
794#394—111no—
795#394—111no—
796#394—111no—
797#394—111no—
798#394C2×D1111yescharacteristic
799#390—111no—
800#390—111no—
801#390—111no—
802#390—111no—
803#390—111no—
804#390—111no—
805#390—111no—
806#390C2×D1111yescharacteristic
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#388—111no—
817#388—111no—
818#388—111no—
819#388—111no—
820#388—111no—
821#388—111no—
822#388—111no—
823#388—111no—
824#388—111no—
825#388—111no—
826#388—111no—
827#388—111no—
828#388—111no—
829#388—111no—
830#388—111no—
831#388—111no—
832#388—111no—
833#388—111no—
834#388—111no—
835#388C2×D1111yescharacteristic, complemented
836#388C2×D1111yescharacteristic, complemented
837#388C2×D1111yescharacteristic, complemented
838#388C2×D1111yescharacteristic, complemented
839#387—111no—
840#387—111no—
841#387—111no—
842#387—111no—
843#387—111no—
844#387—111no—
845#387—111no—
846#387—111no—
847#387—111no—
848#387—111no—
849#387—111no—
850#387—111no—
851#387—111no—
852#387—111no—
853#387C2×D1111yescharacteristic, complemented
854#387C2×D1111yescharacteristic, complemented
855#386—111no—
856#386—111no—
857#386—111no—
858#386—111no—
859#386—111no—
860#386—111no—
861#386—111no—
862#386C2×D1111yescharacteristic
863#380—111no—
864#380—111no—
865#380—111no—
866#380—111no—
867#380—111no—
868#380—111no—
869#380—111no—
870#380C2×D1111yescharacteristic, complemented
871C4×C22⋊C4—111no—
872C4×C22⋊C4—111no—
873C4×C22⋊C4—111no—
874C4×C22⋊C4—111no—
875C4×C22⋊C4—111no—
876C4×C22⋊C4—111no—
877C4×C22⋊C4—111no—
878C4×C22⋊C4C2×D1111yescharacteristic, complemented
879#376—111no—
880#376—111no—
881#376—111no—
882#376—111no—
883#376—111no—
884#376—111no—
885#376—111no—
886#376C2×D1111yescharacteristic, complemented
887C2×#95—111no—
888C2×#95—111no—
889C2×#95—111no—
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—
899C22×C11—22no—
900C22×C11—22no—
901C22×C11—22no—
902C22×C11—41no—
903C22×C11—41no—
904C22×C11—41no—
905C22×C11—41no—
906C22×C11—41no—
907C22×C11—41no—
908C22×C11—41no—
909C22×C11—41no—
910C22×C11—41no—
911C22×C11—41no—
912C22×C11—41no—
913C22×C11C22×#4111yescharacteristic
914C22×C11C22×#4111yescharacteristic
915C22×C11C22×#4111yescharacteristic
916C22×C11C22×#4111yescharacteristic
917C22×C11C22×#4111yescharacteristic
918C22×C11C2×H(5,𝔽2)11yescharacteristic
919C22×C11C2×H(5,𝔽2)11yescharacteristic
920C2×D11—22no—
921C2×D11—22no—
922C2×D11—22no—
923C2×D11—41no—
924C2×D11—41no—
925C2×D11—41no—
926C2×D11—41no—
927C2×D11—416no—
928C2×D11—41no—
929C2×D11—41no—
930C2×D11—41no—
931C2×D11—41no—
932C2×D11—41no—
933C2×D11—41no—
934C2×D11—41no—
935C2×D11—88no—
936C2×D11#52914yes—
937C2×D11#52914yes—
938C2×D11#54014yes—
939C2×D11#55114yes—
940C2×D11#55114yes—
941C2×D11#55314yes—
942C2×D11#55514yes—
943C4×C11—22no—
944C4×C11—22no—
945C4×C11—22no—
946C4×C11—22no—
947C4×C11—41no—
948C4×C11—41no—
949C4×C11—41no—
950C4×C11—41no—
951C4×C11—41no—
952C4×C11—41no—
953C4×C11—41no—
954C4×C11—41no—
955C4×C11—41no—
956Dic11—22no—
957Dic11—22no—
958Dic11—22no—
959Dic11—22no—
960Dic11—41no—
961Dic11—41no—
962Dic11—41no—
963Dic11—41no—
964Dic11—41no—
965Dic11—41no—
966Dic11—41no—
967Dic11—41no—
968Dic11—41no—
969C25—111no—
970C25—111no—
971C22×D4—111no—
972C22×D4—111no—
973C22×D4—111no—
974C22×D4—224no—
975C22×D4—224no—
976C22×D4—442no—
977C22×D4C22×D1111yescharacteristic
978C23×C4—111no—
979C23×C4—111no—
980C23×C4—111no—
981C23×C4—111no—
982C23×C4—111no—
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—224no—
995C23×C4—224no—
996C23×C4—442no—
997C23×C4C22×D1111yescharacteristic
998C2×C4⋊C4—111no—
999C2×C4⋊C4—111no—
1000C2×C4⋊C4—111no—
1001C2×C4⋊C4—111no—
1002C2×C4⋊C4—111no—
1003C2×C4⋊C4—111no—
1004C2×C4⋊C4—111no—
1005C2×C4⋊C4—111no—
1006C2×C4⋊C4—111no—
1007C2×C4⋊C4—111no—
1008C2×C4⋊C4—111no—
1009C2×C4⋊C4—111no—
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—224no—
1017C2×C4⋊C4—224no—
1018C2×C4⋊C4—442no—
1019C2×C4⋊C4—442no—
1020C2×C4⋊C4—442no—
1021C2×C4⋊C4—442no—
1022C2×C4⋊C4C22×D1111yescharacteristic
1023C2×C4⋊C4C22×D1111yescharacteristic
1024C2×C4⋊C4C22×D1111yescharacteristic
1025C2×C4⋊C4C22×D1111yescharacteristic
1026C2×C4⋊C4C22×D1111yescharacteristic
1027C2×C4⋊C4C22×D1111yescharacteristic
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—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—224no—
1062C2×C22⋊C4—224no—
1063C2×C22⋊C4—224no—
1064C2×C22⋊C4—224no—
1065C2×C22⋊C4—224no—
1066C2×C22⋊C4—224no—
1067C2×C22⋊C4—442no—
1068C2×C22⋊C4—442no—
1069C2×C22⋊C4—442no—
1070C2×C22⋊C4—442no—
1071C2×C22⋊C4—442no—
1072C2×C22⋊C4C22×D1111yescharacteristic
1073C2×C22⋊C4C22×D1111yescharacteristic
1074C2×C22⋊C4C22×D1111yescharacteristic
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×C42—111no—
1084C2×C42—111no—
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—111no—
1095C2×C42—224no—
1096C2×C42—224no—
1097C2×C42—224no—
1098C2×C42—442no—
1099C2×C42C22×D1111yescharacteristic
1100C2×C42C22×D1111yescharacteristic
1101C2×C42C22×D1111yescharacteristic
1102C2×C42C22×D1111yescharacteristic
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#95C22×D1111yescharacteristic
1140#95C22×D1111yescharacteristic
1141#95C22×D1111yescharacteristic
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
1151C2×C11—42no—
1152C2×C11—81no—
1153C2×C11C2×#52911yescharacteristic
1154C2×C11C2×#52911yescharacteristic
1155C2×C11C2×#54011yescharacteristic
1156C2×C11C2×#55111yescharacteristic
1157C2×C11C2×#55111yescharacteristic
1158C2×C11C2×#55311yescharacteristic
1159C2×C11C2×#55511yescharacteristic
1160D11—42no—
1161D11—81no—
1162D11#253118yesdirect product factor
1163C24—111no—
1164C24—114no—
1165C24—111no—
1166C24—111no—
1167C24—222no—
1168C24—222no—
1169C24—222no—
1170C24—222no—
1171C24—222no—
1172C24—222no—
1173C24—222no—
1174C24—222no—
1175C24—222no—
1176C24—222no—
1177C24—222no—
1178C24—222no—
1179C24—222no—
1180C24C23×D1111yescharacteristic
1181C24C23×D1111yescharacteristic
1182C2×D4—22no—
1183C2×D4—22no—
1184C2×D4—41no—
1185C2×D4—222no—
1186C2×D4—222no—
1187C2×D4—222no—
1188C2×D4—222no—
1189C2×D4—222no—
1190C2×D4—222no—
1191C2×D4—441no—
1192C2×D4—4416no—
1193C2×D4—441no—
1194C2×D4—441no—
1195C22×C4—22no—
1196C22×C4—22no—
1197C22×C4—41no—
1198C22×C4—111no—
1199C22×C4—111no—
1200C22×C4—111no—
1201C22×C4—111no—
1202C22×C4—114no—
1203C22×C4—114no—
1204C22×C4—114no—
1205C22×C4—114no—
1206C22×C4—111no—
1207C22×C4—111no—
1208C22×C4—111no—
1209C22×C4—111no—
1210C22×C4—111no—
1211C22×C4—111no—
1212C22×C4—111no—
1213C22×C4—111no—
1214C22×C4—111no—
1215C22×C4—222no—
1216C22×C4—222no—
1217C22×C4—222no—
1218C22×C4—222no—
1219C22×C4—222no—
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—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—441no—
1257C22×C4—441no—
1258C22×C4—4416no—
1259C22×C4—441no—
1260C22×C4C23×D1111yescharacteristic
1261C22×C4C23×D1111yescharacteristic
1262C22×C4C23×D1111yescharacteristic
1263C22×C4C23×D1111yescharacteristic
1264C22×C4C23×D1111yescharacteristic
1265C22×C4C23×D1111yescharacteristic
1266C22×C4C23×D1111yescharacteristic
1267C22×C4C23×D1111yescharacteristic
1268C22×C4C23×D1111yescharacteristic
1269C22×C4C23×D1111yescharacteristic
1270C22×C4C23×D1111yescharacteristic
1271C22×C4C23×D1111yescharacteristic
1272C22×C4C23×D1111yescharacteristic
1273C4⋊C4—22no—
1274C4⋊C4—22no—
1275C4⋊C4—41no—
1276C4⋊C4—41no—
1277C4⋊C4—41no—
1278C4⋊C4—41no—
1279C4⋊C4—222no—
1280C4⋊C4—222no—
1281C4⋊C4—222no—
1282C4⋊C4—222no—
1283C4⋊C4—222no—
1284C4⋊C4—222no—
1285C4⋊C4—441no—
1286C4⋊C4—441no—
1287C4⋊C4—441no—
1288C4⋊C4—441no—
1289C4⋊C4—441no—
1290C4⋊C4—441no—
1291C4⋊C4—441no—
1292C4⋊C4—441no—
1293C4⋊C4—441no—
1294C4⋊C4—441no—
1295C4⋊C4—441no—
1296C4⋊C4—441no—
1297C22⋊C4—22no—
1298C22⋊C4—22no—
1299C22⋊C4—22no—
1300C22⋊C4—22no—
1301C22⋊C4—22no—
1302C22⋊C4—22no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—222no—
1309C22⋊C4—222no—
1310C22⋊C4—222no—
1311C22⋊C4—222no—
1312C22⋊C4—222no—
1313C22⋊C4—222no—
1314C22⋊C4—222no—
1315C22⋊C4—222no—
1316C22⋊C4—222no—
1317C22⋊C4—222no—
1318C22⋊C4—222no—
1319C22⋊C4—222no—
1320C22⋊C4—222no—
1321C22⋊C4—222no—
1322C22⋊C4—222no—
1323C22⋊C4—222no—
1324C22⋊C4—222no—
1325C22⋊C4—222no—
1326C22⋊C4—441no—
1327C22⋊C4—441no—
1328C22⋊C4—441no—
1329C22⋊C4—441no—
1330C22⋊C4—441no—
1331C22⋊C4—441no—
1332C22⋊C4—441no—
1333C22⋊C4—441no—
1334C22⋊C4—441no—
1335C22⋊C4—441no—
1336C22⋊C4—441no—
1337C22⋊C4—441no—
1338C22⋊C4—441no—
1339C22⋊C4—441no—
1340C22⋊C4—441no—
1341C42—22no—
1342C42—22no—
1343C42—22no—
1344C42—41no—
1345C42—222no—
1346C42—222no—
1347C42—222no—
1348C42—222no—
1349C42—222no—
1350C42—222no—
1351C42—222no—
1352C42—222no—
1353C42—222no—
1354C42—441no—
1355C42—441no—
1356C42—441no—
1357C11C2×#253111yescharacteristic, complemented, Sylow
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—112no—
1372C23—112no—
1373C23—112no—
1374C23—112no—
1375C23—112no—
1376C23—112no—
1377C23—112no—
1378C23—112no—
1379C23—228no—
1380C23—228no—
1381C23—228no—
1382C23—221no—
1383C23—221no—
1384C23—221no—
1385C23—221no—
1386C23—221no—
1387C23—221no—
1388C23—221no—
1389C23—221no—
1390C23—221no—
1391C23—221no—
1392C23—221no—
1393C23—221no—
1394C23—221no—
1395C23—444no—
1396C23—444no—
1397C23—444no—
1398C23—444no—
1399C23—444no—
1400C23—444no—
1401C23—444no—
1402C23—444no—
1403C23—444no—
1404C23—444no—
1405C23—444no—
1406C23#41×D1112yes—
1407C23C24×D1111yescharacteristic
1408D4—44no—
1409D4—444no—
1410D4—444no—
1411D4—444no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
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—44no—
1448C2×C4—112no—
1449C2×C4—112no—
1450C2×C4—112no—
1451C2×C4—112no—
1452C2×C4—228no—
1453C2×C4—228no—
1454C2×C4—228no—
1455C2×C4—228no—
1456C2×C4—221no—
1457C2×C4—221no—
1458C2×C4—221no—
1459C2×C4—221no—
1460C2×C4—221no—
1461C2×C4—221no—
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—444no—
1492C2×C4—444no—
1493C2×C4—444no—
1494C2×C4—444no—
1495C2×C4—444no—
1496C2×C4—444no—
1497C2×C4—444no—
1498C2×C4—444no—
1499C2×C4—444no—
1500C2×C4—444no—
1501C2×C4—444no—
1502C2×C4—444no—
1503C2×C4#41×D1112yes—
1504C2×C4#41×D1112yes—
1505C2×C4#41×D1112yes—
1506C2×C4#41×D1112yes—
1507C22—22no—
1508C22—22no—
1509C22—22no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—114no—
1522C22—114no—
1523C22—114no—
1524C22—114no—
1525C22—114no—
1526C22—114no—
1527C22—114no—
1528C22—222no—
1529C22—222no—
1530C22—222no—
1531C22—4416no—
1532C22—441no—
1533C22—441no—
1534C22—441no—
1535C22—441no—
1536C22—441no—
1537C22—441no—
1538C22—441no—
1539C22—441no—
1540C22—441no—
1541C22—441no—
1542C22—441no—
1543C22—888no—
1544C22C2×#41×D1111yescharacteristic
1545C22C2×#41×D1111yescharacteristic
1546C22C2×#41×D1111yescharacteristic
1547C22C2×#41×D1111yescharacteristic
1548C22C2×#41×D1111yescharacteristic
1549C22D11×H(5,𝔽2)11yescharacteristic
1550C22D11×H(5,𝔽2)11yescharacteristic
1551C4—22no—
1552C4—22no—
1553C4—22no—
1554C4—22no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C4—222no—
1565C4—222no—
1566C4—222no—
1567C4—222no—
1568C4—441no—
1569C4—441no—
1570C4—441no—
1571C4—441no—
1572C4—441no—
1573C4—441no—
1574C4—441no—
1575C4—441no—
1576C4—441no—
1577C2—42no—
1578C2—81no—
1579C2—118no—
1580C2—442no—
1581C2—881no—
1582C2D11×#52911yescharacteristic
1583C2D11×#52911yescharacteristic
1584C2D11×#54011yescharacteristic
1585C2D11×#55111yescharacteristic
1586C2D11×#55111yescharacteristic
1587C2D11×#55311yescharacteristic
1588C2D11×#55511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2531C2
prime radicalC22×D4×D11C22
hypercenter#2531D11
hypocenterC11C2×#2531
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2531

Complements

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

NH ≅ G/Ntype
1. #13073470C2semidirect
2. #13073469C2semidirect
3. #13073468C2semidirect
4. #13073467C2semidirect
5. #13073466C2semidirect
6. #13073465C2semidirect
7. #13073464C2semidirect
8. #13073463C2semidirect
9. #13073462C2semidirect
10. #13073461C2semidirect
11. #13073460C2semidirect
12. #13073459C2semidirect
13. #13073458C2semidirect
14. #13073457C2semidirect
15. #13073456C2semidirect
16. D11×#398C2semidirect
17. D11×#397C2semidirect
18. D11×#397C2semidirect
21. D11×#388C2semidirect
22. D11×#388C2semidirect
23. D11×#388C2semidirect
24. D11×#388C2semidirect
25. D11×#387C2semidirect
26. D11×#387C2semidirect
28. D11×#380C2semidirect
29. C4×C22⋊C4×D11C2semidirect
30. D11×#376C2semidirect
31. C11×#2531C2semidirect
55. C11×#398C22semidirect
56. C11×#397C22semidirect
57. C11×#397C22semidirect
60. C11×#388C22semidirect
61. C11×#388C22semidirect
62. C11×#388C22semidirect
63. C11×#388C22semidirect
64. C11×#387C22semidirect
65. C11×#387C22semidirect
67. C11×#380C22semidirect
68. C4×C11×C22⋊C4C22semidirect
69. C11×#376C22semidirect
74. #10622825C22semidirect
75. C4×C22⋊Dic11C22semidirect
76. #10622606C22semidirect
77. #10622606C22semidirect
79. #10622603C22semidirect
80. #10622603C22semidirect
81. #10622603C22semidirect
82. #10622603C22semidirect
84. #10622600C22semidirect
85. #10622600C22semidirect
86. #10622597C22semidirect
87. #10622597C22semidirect
88. #10622596C22semidirect
89. #10622594C22semidirect
90. #10622594C22semidirect
91. #10622593C22semidirect
92. #10622591C22semidirect
93. #10622591C22semidirect
105. #10622566C22semidirect
106. #10622566C22semidirect
107. #10622565C22semidirect
108. #10622565C22semidirect
109. #10622565C22semidirect
110. #10622565C22semidirect
111. #10622564C22semidirect
112. #10622564C22semidirect
113. #10622564C22semidirect
114. #10622564C22semidirect
115. #10622558C22semidirect
116. #10622558C22semidirect
117. #10622558C22semidirect
118. #10622558C22semidirect
119. #10622557C22semidirect
120. #10622557C22semidirect
121. #10622557C22semidirect
122. #10622557C22semidirect
123. #10622555C22semidirect
124. #10622555C22semidirect
125. C22⋊C4×Dic11C22semidirect
126. C22⋊C4×Dic11C22semidirect
127. #10622553C22semidirect
128. #10622553C22semidirect
129. #10622553C22semidirect
130. #10622553C22semidirect
132. C4×(C2×D11)⋊C4C22semidirect
133. C4×(C2×D11)⋊C4C22semidirect
134. #10622546C22semidirect
135. #10622546C22semidirect
136. #10622545C22semidirect
137. #10622545C22semidirect
138. #10622545C22semidirect
139. #10622288C22semidirect
140. #10622288C22semidirect
141. #10622288C22semidirect
142. #10622288C22semidirect
143. #10622287C22semidirect
144. #10622287C22semidirect
146. #10622283C22semidirect
147. #10622283C22semidirect
148. #10622283C22semidirect
149. #10622283C22semidirect
150. #10622282C22semidirect
151. #10622282C22semidirect
152. #10622282C22semidirect
153. #10622282C22semidirect
154. #10622280C22semidirect
155. #10622280C22semidirect
156. #10622279C22semidirect
157. #10622279C22semidirect
172. #10622274C22semidirect
173. #10622270C22semidirect
174. #10622270C22semidirect
175. #10622268C22semidirect
176. #10622268C22semidirect
177. #10622267C22semidirect
178. #10622267C22semidirect
179. #10622266C22semidirect
180. #10622266C22semidirect
181. #10622265C22semidirect
182. #10622265C22semidirect
183. #10622261C22semidirect
184. #10622261C22semidirect
185. #10622261C22semidirect
186. #10622261C22semidirect
579. #2531D11direct (N × H)
774. #398C2×D11semidirect
789. #397C2×D11semidirect
790. #397C2×D11semidirect
835. #388C2×D11semidirect
836. #388C2×D11semidirect
837. #388C2×D11semidirect
838. #388C2×D11semidirect
853. #387C2×D11semidirect
854. #387C2×D11semidirect
870. #380C2×D11semidirect
878. C4×C22⋊C4C2×D11semidirect
886. #376C2×D11semidirect
1162. D11#2531direct (N × H)
1357. C11C2×#2531semidirect

Maximal subgroups

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

subgroupindex
#130734702
#130734692
#130734682
#130734672
#130734662
#130734652
#130734642
#130734632
#130734622
#130734612
#130734602
#130734592
#130734582
#130734572
#130734562
D11×#3982
D11×#3972
D11×#3942
D11×#3902
D11×#3882
D11×#3872
D11×#3862
D11×#3802
C4×C22⋊C4×D112
D11×#3762
C11×#25312
C2×#253111