Finite Group Databasebeta

← D11×#2488 #14922699

Subgroups — D11×#2488 #14922699

Order 2816.

3114 conjugacy classes of subgroups.

The subgroup lattice has 1696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D11×#123C211yesmaximal, characteristic
2C2×D11×C22⋊Q8C211yesmaximal, characteristic, complemented
3#13072949C211yesmaximal, characteristic, complemented
4#13072948C211yesmaximal, characteristic, complemented
5#13072947C211yesmaximal, characteristic, complemented
6#13072946C211yesmaximal, characteristic, complemented
7#13072945C211yesmaximal, characteristic, complemented
8#13072944C211yesmaximal, characteristic, complemented
9#13072943C211yesmaximal, characteristic, complemented
10#13072942C211yesmaximal, characteristic, complemented
11#13072941C211yesmaximal, characteristic, complemented
12#13072940C211yesmaximal, characteristic, complemented
13#13072939C211yesmaximal, characteristic, complemented
14#13072938C211yesmaximal, characteristic, complemented
15#13072937C211yesmaximal, characteristic, complemented
16#13072936C211yesmaximal, characteristic, complemented
17#13072935C211yesmaximal, characteristic, complemented
18D11×#400C211yesmaximal, characteristic, complemented
19D11×#400C211yesmaximal, characteristic, complemented
20D11×#397C211yesmaximal, characteristic, complemented
21D11×#393C211yesmaximal, characteristic, complemented
22D11×#391C211yesmaximal, characteristic, complemented
23D11×#388C211yesmaximal, characteristic, complemented
24D11×#388C211yesmaximal, characteristic, complemented
25D11×#386C211yesmaximal, characteristic
26D11×#386C211yesmaximal, characteristic
27D11×#382C211yesmaximal, characteristic, complemented
28D11×#381C211yesmaximal, characteristic, complemented
29C4×C22⋊C4×D11C211yesmaximal, characteristic, complemented
30C2×D11×#95C211yesmaximal, characteristic, complemented
31C11×#2488C211yesmaximal, characteristic, complemented
32C22×Q8×D11C2211yescharacteristic
33C22×D4×D11C2211yescharacteristic
34C23×C4×D11C2211yescharacteristic
35C23×C4×D11C2211yescharacteristic
36C23×C4×D11C2211yescharacteristic
37C2×C11×#123C2211yescharacteristic
38C2×C11×C22⋊Q8C2211yescharacteristic, complemented
39C2×#66999C2211yescharacteristic, complemented
40C2×#66988C2211yescharacteristic
41C2×#66982C2211yescharacteristic
42C2×#66977C2211yescharacteristic, complemented
43D11×#123—28no—
44D11×C22⋊Q8—28no—
45C2×#66950C2211yescharacteristic, complemented
46C2×#66949C2211yescharacteristic, complemented
47C2×#66949C2211yescharacteristic, complemented
48C2×#66947C2211yescharacteristic
49C2×#66947C2211yescharacteristic
50C2×C4⋊C4×D11C2211yescharacteristic
51C2×C4⋊C4×D11C2211yescharacteristic
52C2×C4⋊C4×D11C2211yescharacteristic
53C2×C4⋊C4×D11C2211yescharacteristic
54C2×C4⋊C4×D11C2211yescharacteristic
55C2×#66939C2211yescharacteristic
56C2×#66936C2211yescharacteristic
57C2×#66936C2211yescharacteristic
58C2×C22⋊C4×D11C2211yescharacteristic
59C2×C22⋊C4×D11C2211yescharacteristic
60C2×C22⋊C4×D11C2211yescharacteristic
61C2×C22⋊C4×D11C2211yescharacteristic
62C2×C22⋊C4×D11C2211yescharacteristic
63C2×C22⋊C4×D11C2211yescharacteristic
64C2×C22⋊C4×D11C2211yescharacteristic
65C2×C22⋊C4×D11C2211yescharacteristic
66C2×C22⋊C4×D11C2211yescharacteristic
67C2×#66931C2211yescharacteristic, complemented
68C2×#66931C2211yescharacteristic, complemented
69C2×C42×D11C2211yescharacteristic
70C2×C42×D11C2211yescharacteristic
71C11×#400C2211yescharacteristic, complemented
72C11×#400C2211yescharacteristic, complemented
73C11×#397C2211yescharacteristic, complemented
74C11×#393C2211yescharacteristic, complemented
75C11×#391C2211yescharacteristic, complemented
76C11×#388C2211yescharacteristic, complemented
77C11×#388C2211yescharacteristic, complemented
78C11×#386C2211yescharacteristic
79C11×#386C2211yescharacteristic
80C11×#382C2211yescharacteristic, complemented
81C11×#381C2211yescharacteristic, complemented
82C4×C11×C22⋊C4C2211yescharacteristic, complemented
83C2×C11×#95C2211yescharacteristic, complemented
84#10622844C2211yescharacteristic, complemented
85#10622843C2211yescharacteristic, complemented
86#10622833C2211yescharacteristic
87#10622833C2211yescharacteristic
88#10622826C2211yescharacteristic
89#10622826C2211yescharacteristic
90#10622824C2211yescharacteristic, complemented
91C4×C22⋊Dic11C2211yescharacteristic, complemented
92C2×C11⋊#95C2211yescharacteristic, complemented
93C2×C11⋊#95C2211yescharacteristic, complemented
94C2×C11⋊#95C2211yescharacteristic, complemented
95#10622606C2211yescharacteristic, complemented
96#10622603C2211yescharacteristic, complemented
97#10622603C2211yescharacteristic, complemented
98#10622599C2211yescharacteristic, complemented
99#10622599C2211yescharacteristic, complemented
100#10622595C2211yescharacteristic, complemented
101#10622595C2211yescharacteristic, complemented
102#10622590C2211yescharacteristic, complemented
103#10622590C2211yescharacteristic, complemented
104#10622587C2211yescharacteristic, complemented
105#10622571C2211yescharacteristic
106#10622571C2211yescharacteristic
107#10622569C2211yescharacteristic
108#10622569C2211yescharacteristic
109#10622569C2211yescharacteristic
110#10622569C2211yescharacteristic
111#10622566C2211yescharacteristic, complemented
112#10622565C2211yescharacteristic, complemented
113#10622565C2211yescharacteristic, complemented
114#10622564C2211yescharacteristic, complemented
115#10622564C2211yescharacteristic, complemented
116#10622560C2211yescharacteristic, complemented
117#10622560C2211yescharacteristic, complemented
118#10622560C2211yescharacteristic, complemented
119#10622558C2211yescharacteristic, complemented
120#10622558C2211yescharacteristic, complemented
121#10622557C2211yescharacteristic, complemented
122#10622557C2211yescharacteristic, complemented
123#10622556C2211yescharacteristic, complemented
124#10622556C2211yescharacteristic, complemented
125C22⋊C4×Dic11C2211yescharacteristic, complemented
126C22⋊C4×Dic11C2211yescharacteristic, complemented
127#10622553C2211yescharacteristic, complemented
128#10622553C2211yescharacteristic, complemented
129C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
130C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
131#10622549C2211yescharacteristic, complemented
132#10622542C2211yescharacteristic, complemented
133#10622288C2211yescharacteristic, complemented
134#10622288C2211yescharacteristic, complemented
135#10622287C2211yescharacteristic, complemented
136#10622286C2211yescharacteristic, complemented
137#10622286C2211yescharacteristic, complemented
138#10622286C2211yescharacteristic, complemented
139#10622283C2211yescharacteristic, complemented
140#10622283C2211yescharacteristic, complemented
141#10622282C2211yescharacteristic, complemented
142#10622282C2211yescharacteristic, complemented
143#10622279C2211yescharacteristic, complemented
144#10622279C2211yescharacteristic, complemented
145#10622278C2211yescharacteristic
146#10622278C2211yescharacteristic
147#10622278C2211yescharacteristic
148#10622278C2211yescharacteristic
149#10622277C2211yescharacteristic, complemented
150#10622277C2211yescharacteristic, complemented
151#10622277C2211yescharacteristic, complemented
152#10622277C2211yescharacteristic, complemented
153D11×#95C2211yescharacteristic
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, complemented
168D11×#95C2211yescharacteristic, complemented
169D11×#95C2211yescharacteristic, complemented
170D11×#95C2211yescharacteristic, complemented
171#10622273C2211yescharacteristic, complemented
172#10622273C2211yescharacteristic, complemented
173#10622273C2211yescharacteristic, complemented
174#10622273C2211yescharacteristic, complemented
175#10622272C2211yescharacteristic, complemented
176#10622272C2211yescharacteristic, complemented
177#10622271C2211yescharacteristic, complemented
178#10622271C2211yescharacteristic, complemented
179#10622271C2211yescharacteristic, complemented
180#10622271C2211yescharacteristic, complemented
181#10622263C2211yescharacteristic, complemented
182#10622263C2211yescharacteristic, complemented
183#10622263C2211yescharacteristic, complemented
184#10622263C2211yescharacteristic, complemented
185#10622259C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187#10622259C2211yescharacteristic, complemented
188#10622259C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C24×D11C2311yescharacteristic
191C22×Q8×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C23×C4×C11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C23×Dic11C2311yescharacteristic
199C23×Dic11C2311yescharacteristic
200C23×Dic11C2311yescharacteristic
201C2×Q8×D11—24no—
202C2×Q8×D11—24no—
203C2×Q8×D11—42no—
204C2×D4×D11—24no—
205C2×D4×D11—24no—
206C2×D4×D11—24no—
207C22×D44C2311yescharacteristic
208C22×C4×D11—24no—
209C22×C4×D11—24no—
210C22×C4×D11—24no—
211C22×C4×D11—24no—
212C22×C4×D11—24no—
213C22×C4×D11—24no—
214C22×C4×D11—24no—
215C22×C4×D11—42no—
216C22×C4×D11—42no—
217C22×C4×D11C2311yescharacteristic
218C22×C4×D11C2311yescharacteristic
219C22×C4×D11C2311yescharacteristic
220C22×C4×D11C2311yescharacteristic
221C22×C4×D11C2311yescharacteristic
222C22×C4×D11C2311yescharacteristic
223C22×C4×D11C2311yescharacteristic
224C22×C4×D11C2311yescharacteristic
225C22×C4×D11C2311yescharacteristic
226C22×C4×D11C2311yescharacteristic
227C22×C4×D11C2311yescharacteristic
228C22×C4×D11C2311yescharacteristic
229C22×C4×D11C2311yescharacteristic
230C22×C4×D11C2311yescharacteristic
231C22×C4×D11C2311yescharacteristic
232C22×C4×D11C2311yescharacteristic
233C22×C4×D11C2311yescharacteristic
234C22×C4×D11C2311yescharacteristic
235C22×C4×D11C2311yescharacteristic
236C22×Dic22C2311yescharacteristic
237C22×Dic22C2311yescharacteristic
238C22×Dic22C2311yescharacteristic
239C11×#123—24no—
240C11×C22⋊Q8—24no—
241C2×C11×C4⋊C4C2311yescharacteristic
242C2×C11×C4⋊C4C2311yescharacteristic
243C2×C11×C4⋊C4C2311yescharacteristic
244C2×C11×C4⋊C4C2311yescharacteristic
245C2×C11×C4⋊C4C2311yescharacteristic
246C2×C11×C22⋊C4C2311yescharacteristic
247C2×C11×C22⋊C4C2311yescharacteristic
248C2×C11×C22⋊C4C2311yescharacteristic
249C2×C11×C22⋊C4C2311yescharacteristic
250C2×C11×C22⋊C4C2311yescharacteristic
251C2×C11×C22⋊C4C2311yescharacteristic
252C2×C11×C22⋊C4C2311yescharacteristic
253C2×C11×C22⋊C4C2311yescharacteristic
254C2×C11×C22⋊C4C2311yescharacteristic
255C2×C42×C11C2311yescharacteristic
256C2×C42×C11C2311yescharacteristic
257C2×C22⋊Dic11C2311yescharacteristic
258C2×C22⋊Dic11C2311yescharacteristic
259C2×C22⋊Dic11C2311yescharacteristic
260C2×C22⋊Dic11C2311yescharacteristic
261C2×C22⋊Dic11C2311yescharacteristic
262C2×C22⋊Dic11C2311yescharacteristic
263C2×C22⋊Dic11C2311yescharacteristic
264C2×C22⋊Dic11C2311yescharacteristic
265C2×C22⋊Dic11C2311yescharacteristic
266#66999—24no—
267#66988—24no—
268#66982—24no—
269C2×(C2×D11)⋊C4C2311yescharacteristic
270C2×(C2×D11)⋊C4C2311yescharacteristic
271C2×(C2×D11)⋊C4C2311yescharacteristic
272C2×(C2×D11)⋊C4C2311yescharacteristic
273C2×(C2×D11)⋊C4C2311yescharacteristic
274C2×(C2×D11)⋊C4C2311yescharacteristic
275C2×(C2×D11)⋊C4C2311yescharacteristic
276C2×(C2×D11)⋊C4C2311yescharacteristic
277C2×(C2×D11)⋊C4C2311yescharacteristic
278C2×(C2×D11)⋊C4C2311yescharacteristic
279C2×(C2×D11)⋊C4C2311yescharacteristic
280C2×(C2×D11)⋊C4C2311yescharacteristic
281C2×(C2×D11)⋊C4C2311yescharacteristic
282C2×(C2×D11)⋊C4C2311yescharacteristic
283C2×(C2×D11)⋊C4C2311yescharacteristic
284C2×(C2×D11)⋊C4C2311yescharacteristic
285C2×(C2×D11)⋊C4C2311yescharacteristic
286C2×(C2×D11)⋊C4C2311yescharacteristic
287C2×C4⋊Dic11C2311yescharacteristic
288C2×C4⋊Dic11C2311yescharacteristic
289C2×C4⋊Dic11C2311yescharacteristic
290C2×C4⋊Dic11C2311yescharacteristic
291C2×C4⋊Dic11C2311yescharacteristic
292#66977—24no—
293C2×Dic11⋊C4C2311yescharacteristic
294C2×Dic11⋊C4C2311yescharacteristic
295C2×Dic11⋊C4C2311yescharacteristic
296C2×Dic11⋊C4C2311yescharacteristic
297C2×Dic11⋊C4C2311yescharacteristic
298C2×Dic11⋊C4C2311yescharacteristic
299C2×Dic11⋊C4C2311yescharacteristic
300C2×Dic11⋊C4C2311yescharacteristic
301C2×Dic11⋊C4C2311yescharacteristic
302C2×Dic11⋊C4C2311yescharacteristic
303C2×C4×Dic11C2311yescharacteristic
304C2×C4×Dic11C2311yescharacteristic
305C2×C4×Dic11C2311yescharacteristic
306C2×C4×Dic11C2311yescharacteristic
307C2×C4×Dic11C2311yescharacteristic
308C2×C4×Dic11C2311yescharacteristic
309#66950—24no—
310#66949—24no—
311#66949—24no—
312#66947—24no—
313#66947—24no—
314C4⋊C4×D11—24no—
315C4⋊C4×D11—24no—
316C4⋊C4×D11—24no—
317C4⋊C4×D11—24no—
318C4⋊C4×D11—24no—
319#66939—24no—
320#66936—24no—
321#66936—24no—
322C22⋊C4×D11—24no—
323C22⋊C4×D11—24no—
324C22⋊C4×D11—24no—
325C22⋊C4×D11—24no—
326C22⋊C4×D11—24no—
327C22⋊C4×D11—24no—
328C22⋊C4×D11—42no—
329C22⋊C4×D11—42no—
330C22⋊C4×D11D418yes—
331#66931—24no—
332#66931—24no—
333C42×D11—24no—
334C42×D11—42no—
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
369C11⋊#95C2311yescharacteristic
370C11⋊#95C2311yescharacteristic
371C11⋊#95C2311yescharacteristic
372C11⋊#95C2311yescharacteristic
373C11⋊#95C2311yescharacteristic
374C11⋊#95C2311yescharacteristic
375C11⋊#95C2311yescharacteristic
376C11⋊#95C2311yescharacteristic
377C11⋊#95C2311yescharacteristic
378C11⋊#95C2311yescharacteristic
379C11⋊#95C2311yescharacteristic
380C11⋊#95C2311yescharacteristic
381C11⋊#95C2311yescharacteristic
382C11⋊#95C2311yescharacteristic
383C11⋊#95C2311yescharacteristic
384C11⋊#95C2311yescharacteristic
385C11⋊#95C2311yescharacteristic
386C11⋊#95C2311yescharacteristic
387C11⋊#95C2311yescharacteristic
388C11⋊#95C2311yescharacteristic
389C11⋊#95C2311yescharacteristic
390C11⋊#95C2311yescharacteristic
391C2×#2488—111nomaximal, Sylow
392C24×C11C2411yescharacteristic
393C24×C11C2411yescharacteristic
394C23×D11—22no—
395C23×D11—22no—
396C23×D11—22no—
397C23×D11—22no—
398C23×D11—22no—
399C23×D11—22no—
400C23×D11—22no—
401C23×D11—22no—
402C23×D11—22no—
403C23×D11—22no—
404C23×D11—22no—
405C23×D11C2×D414yes—
406C23×D11#4114yes—
407C23×D11#4114yes—
408C23×D11C2411yescharacteristic
409C23×D11C2411yescharacteristic
410C23×D11C2411yescharacteristic
411C2×Q8×C11—22no—
412C2×Q8×C11—22no—
413C2×Q8×C11—41no—
414C2×D4×C11—22no—
415C2×D4×C11—22no—
416C2×D4×C11—22no—
417C22×C4×C11—22no—
418C22×C4×C11—22no—
419C22×C4×C11—22no—
420C22×C4×C11—22no—
421C22×C4×C11—22no—
422C22×C4×C11—22no—
423C22×C4×C11—22no—
424C22×C4×C11—41no—
425C22×C4×C11—41no—
426C22×C4×C11C2411yescharacteristic
427C22×C4×C11C2411yescharacteristic
428C22×C4×C11C2411yescharacteristic
429C22×C4×C11C2411yescharacteristic
430C22×C4×C11C2411yescharacteristic
431C22×C4×C11C2411yescharacteristic
432C22×C4×C11C2411yescharacteristic
433C22×C4×C11C2411yescharacteristic
434C22×C4×C11C2411yescharacteristic
435C22×C4×C11C2411yescharacteristic
436C22×C4×C11C2411yescharacteristic
437C22×C4×C11C2411yescharacteristic
438C22×C4×C11C2411yescharacteristic
439C2×C22⋊D11—22no—
440C2×C22⋊D11—22no—
441C2×C22⋊D11—22no—
442C2×C22⋊D11—22no—
443C2×C22⋊D11—22no—
444C2×C22⋊D11—22no—
445C22×Dic11—22no—
446C22×Dic11—22no—
447C22×Dic11—22no—
448C22×Dic11—22no—
449C22×Dic11—22no—
450C22×Dic11—22no—
451C22×Dic11—22no—
452C22×Dic11—41no—
453C22×Dic11—41no—
454C22×Dic11C2411yescharacteristic
455C22×Dic11C2411yescharacteristic
456C22×Dic11C2411yescharacteristic
457C22×Dic11C2411yescharacteristic
458C22×Dic11C2411yescharacteristic
459C22×Dic11C2411yescharacteristic
460C22×Dic11C2411yescharacteristic
461C22×Dic11C2411yescharacteristic
462C22×Dic11C2411yescharacteristic
463C22×Dic11C2411yescharacteristic
464C22×Dic11C2411yescharacteristic
465C22×Dic11C2411yescharacteristic
466C22×Dic11C2411yescharacteristic
467Q8×D11—416no—
468D4×D11—416no—
469C2×D44—22no—
470C2×D44—22no—
471C2×D44—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—22no—
483C2×C4×D11—22no—
484C2×C4×D11—22no—
485C2×C4×D11—22no—
486C2×C4×D11—22no—
487C2×C4×D11—22no—
488C2×C4×D11—22no—
489C2×C4×D11—22no—
490C2×C4×D11—22no—
491C2×C4×D11—22no—
492C2×C4×D11—22no—
493C2×C4×D11—22no—
494C2×C4×D11—22no—
495C2×C4×D11—22no—
496C2×C4×D11—22no—
497C2×C4×D11—22no—
498C2×C4×D11—22no—
499C2×C4×D11—22no—
500C2×C4×D11—22no—
501C2×C4×D11—22no—
502C2×C4×D11—22no—
503C2×C4×D11—22no—
504C2×C4×D11—22no—
505C2×C4×D11—22no—
506C2×C4×D11—22no—
507C2×C4×D11—22no—
508C2×C4×D11—22no—
509C2×C4×D11—22no—
510C2×C4×D11—22no—
511C2×C4×D11—22no—
512C2×C4×D11—22no—
513C2×C4×D11—22no—
514C2×C4×D11—22no—
515C2×C4×D11—22no—
516C2×C4×D11—22no—
517C2×C4×D11—22no—
518C2×C4×D11—22no—
519C2×C4×D11—22no—
520C2×C4×D11—22no—
521C2×C4×D11—41no—
522C2×C4×D11—41no—
523C2×C4×D11—41no—
524C2×C4×D11—41no—
525C2×C4×D11—416no—
526C2×C4×D11—416no—
527C2×C4×D11—416no—
528C2×C4×D11C2×D414yes—
529C2×C4×D11C2×D414yes—
530C2×C4×D11#4114yes—
531C2×C4×D11#4114yes—
532C2×Dic22—22no—
533C2×Dic22—22no—
534C2×Dic22—22no—
535C2×Dic22—22no—
536C2×Dic22—22no—
537C2×Dic22—22no—
538C2×Dic22—41no—
539C2×Dic22—41no—
540C2×Dic22—41no—
541C11×C4⋊C4—22no—
542C11×C4⋊C4—22no—
543C11×C4⋊C4—22no—
544C11×C4⋊C4—22no—
545C11×C4⋊C4—22no—
546C11×C22⋊C4—22no—
547C11×C22⋊C4—22no—
548C11×C22⋊C4—22no—
549C11×C22⋊C4—22no—
550C11×C22⋊C4—22no—
551C11×C22⋊C4—22no—
552C11×C22⋊C4—41no—
553C11×C22⋊C4—41no—
554C11×C22⋊C4C2×D414yes—
555C42×C11—22no—
556C42×C11—41no—
557C22⋊Dic11—22no—
558C22⋊Dic11—22no—
559C22⋊Dic11—22no—
560C22⋊Dic11—22no—
561C22⋊Dic11—22no—
562C22⋊Dic11—22no—
563C22⋊Dic11—41no—
564C22⋊Dic11—41no—
565C22⋊Dic11C2×D414yes—
566(C2×D11)⋊C4—22no—
567(C2×D11)⋊C4—22no—
568(C2×D11)⋊C4—22no—
569(C2×D11)⋊C4—22no—
570(C2×D11)⋊C4—22no—
571(C2×D11)⋊C4—22no—
572(C2×D11)⋊C4—22no—
573(C2×D11)⋊C4—22no—
574(C2×D11)⋊C4—22no—
575(C2×D11)⋊C4—22no—
576(C2×D11)⋊C4—22no—
577(C2×D11)⋊C4—22no—
578(C2×D11)⋊C4—41no—
579(C2×D11)⋊C4—41no—
580(C2×D11)⋊C4—41no—
581(C2×D11)⋊C4—41no—
582(C2×D11)⋊C4C2×D414yes—
583(C2×D11)⋊C4C2×D414yes—
584C4⋊Dic11—22no—
585C4⋊Dic11—22no—
586C4⋊Dic11—22no—
587C4⋊Dic11—22no—
588C4⋊Dic11—22no—
589Dic11⋊C4—22no—
590Dic11⋊C4—22no—
591Dic11⋊C4—22no—
592Dic11⋊C4—22no—
593Dic11⋊C4—22no—
594Dic11⋊C4—22no—
595Dic11⋊C4—22no—
596Dic11⋊C4—22no—
597Dic11⋊C4—22no—
598Dic11⋊C4—22no—
599C4×Dic11—22no—
600C4×Dic11—22no—
601C4×Dic11—22no—
602C4×Dic11—41no—
603C4×Dic11—41no—
604C4×Dic11—41no—
605C22×#123—111no—
606C22×C22⋊Q8—111no—
607#2488—111no—
608#2488—111no—
609#2488—111no—
610#2488—111no—
611#2488—111no—
612#2488—111no—
613#2488—111no—
614#2488—111no—
615#2488—111no—
616#2488—111no—
617#2488—111no—
618#2488—111no—
619#2488—111no—
620#2488—111no—
621#2488—111no—
622#2488D1111yescharacteristic, direct product factor
623C2×#400—111no—
624C2×#400—111no—
625C2×#397—111no—
626C2×#393—111no—
627C2×#391—111no—
628C2×#388—111no—
629C2×#388—111no—
630C2×#386—111no—
631C2×#386—111no—
632C2×#382—111no—
633C2×#381—111no—
634C2×C4×C22⋊C4—111no—
635C22×#95—111no—
636C23×C11—21no—
637C23×C11—21no—
638C23×C11—21no—
639C23×C11—21no—
640C23×C11—21no—
641C23×C11—21no—
642C23×C11—21no—
643C23×C11—21no—
644C23×C11—21no—
645C23×C11—21no—
646C23×C11—21no—
647C23×C11C22×D412yes—
648C23×C11C2×#4112yes—
649C23×C11C2×#4112yes—
650C23×C11C2511yescharacteristic
651C22×D11—21no—
652C22×D11—21no—
653C22×D11—21no—
654C22×D11—21no—
655C22×D11—28no—
656C22×D11—28no—
657C22×D11—28no—
658C22×D11—28no—
659C22×D11—28no—
660C22×D11—28no—
661C22×D11—21no—
662C22×D11—21no—
663C22×D11—21no—
664C22×D11—21no—
665C22×D11—21no—
666C22×D11—21no—
667C22×D11—21no—
668C22×D11—44no—
669C22×D11—44no—
670C22×D11—44no—
671C22×D11—44no—
672C22×D11—44no—
673C22×D11—44no—
674C22×D11—44no—
675C22×D11#124116yes—
676C22×D11C22×D412yes—
677C22×D11C22×D412yes—
678C22×D11C2×#4112yes—
679C22×D11C2×#4112yes—
680C22×D11C2×#4112yes—
681C22×D11C2×#4112yes—
682C22×D11C2×#4112yes—
683C22×D11C2×#4112yes—
684C22×D11H(5,𝔽2)12yes—
685C22×D112−1+412yes—
686Q8×C11—44no—
687D4×C11—44no—
688C2×C4×C11—21no—
689C2×C4×C11—21no—
690C2×C4×C11—21no—
691C2×C4×C11—21no—
692C2×C4×C11—21no—
693C2×C4×C11—21no—
694C2×C4×C11—21no—
695C2×C4×C11—21no—
696C2×C4×C11—21no—
697C2×C4×C11—21no—
698C2×C4×C11—21no—
699C2×C4×C11—21no—
700C2×C4×C11—21no—
701C2×C4×C11—21no—
702C2×C4×C11—21no—
703C2×C4×C11—21no—
704C2×C4×C11—21no—
705C2×C4×C11—21no—
706C2×C4×C11—21no—
707C2×C4×C11—21no—
708C2×C4×C11—21no—
709C2×C4×C11—21no—
710C2×C4×C11—21no—
711C2×C4×C11—21no—
712C2×C4×C11—21no—
713C2×C4×C11—21no—
714C2×C4×C11—21no—
715C2×C4×C11—21no—
716C2×C4×C11—21no—
717C2×C4×C11—21no—
718C2×C4×C11—21no—
719C2×C4×C11—21no—
720C2×C4×C11—21no—
721C2×C4×C11—21no—
722C2×C4×C11—21no—
723C2×C4×C11—44no—
724C2×C4×C11—44no—
725C2×C4×C11—44no—
726C2×C4×C11C22×D412yes—
727C2×C4×C11C22×D412yes—
728C2×C4×C11C2×#4112yes—
729C2×C4×C11C2×#4112yes—
730C22⋊D11—44no—
731C22⋊D11—44no—
732C2×Dic11—21no—
733C2×Dic11—21no—
734C2×Dic11—21no—
735C2×Dic11—21no—
736C2×Dic11—21no—
737C2×Dic11—21no—
738C2×Dic11—21no—
739C2×Dic11—21no—
740C2×Dic11—21no—
741C2×Dic11—21no—
742C2×Dic11—21no—
743C2×Dic11—21no—
744C2×Dic11—21no—
745C2×Dic11—21no—
746C2×Dic11—21no—
747C2×Dic11—21no—
748C2×Dic11—21no—
749C2×Dic11—21no—
750C2×Dic11—21no—
751C2×Dic11—21no—
752C2×Dic11—21no—
753C2×Dic11—21no—
754C2×Dic11—21no—
755C2×Dic11—21no—
756C2×Dic11—21no—
757C2×Dic11—21no—
758C2×Dic11—21no—
759C2×Dic11—21no—
760C2×Dic11—21no—
761C2×Dic11—21no—
762C2×Dic11—21no—
763C2×Dic11—21no—
764C2×Dic11—21no—
765C2×Dic11—21no—
766C2×Dic11—21no—
767C2×Dic11—44no—
768C2×Dic11—44no—
769C2×Dic11—44no—
770C2×Dic11C22×D412yes—
771C2×Dic11C22×D412yes—
772C2×Dic11C2×#4112yes—
773C2×Dic11C2×#4112yes—
774D44—44no—
775C4×D11—28no—
776C4×D11—28no—
777C4×D11—28no—
778C4×D11—28no—
779C4×D11—44no—
780C4×D11—44no—
781C4×D11—44no—
782C4×D11—44no—
783C4×D11—44no—
784C4×D11—44no—
785C4×D11—44no—
786C4×D11—44no—
787C4×D11—44no—
788C4×D11—44no—
789C4×D11—44no—
790C4×D11—44no—
791C4×D11—44no—
792C4×D11—44no—
793C4×D11—44no—
794Dic22—44no—
795Dic22—44no—
796Dic22—44no—
797C23×Q8—111no—
798C23×D4—111no—
799C24×C4—111no—
800C24×C4—111no—
801C24×C4—111no—
802C2×#123—111no—
803C2×#123—111no—
804C2×#123—111no—
805C2×#123—111no—
806C2×#123—111no—
807C2×#123—111no—
808C2×#123—111no—
809C2×#123—228no—
810C2×#123C2×D1111yescharacteristic
811C2×C22⋊Q8—111no—
812C2×C22⋊Q8—111no—
813C2×C22⋊Q8—111no—
814C2×C22⋊Q8—111no—
815C2×C22⋊Q8—111no—
816C2×C22⋊Q8—111no—
817C2×C22⋊Q8—111no—
818C2×C22⋊Q8—228no—
819C2×C22⋊Q8C2×D1111yescharacteristic, complemented
820C22×C4⋊C4—111no—
821C22×C4⋊C4—111no—
822C22×C4⋊C4—111no—
823C22×C4⋊C4—111no—
824C22×C4⋊C4—111no—
825C22×C22⋊C4—111no—
826C22×C22⋊C4—111no—
827C22×C22⋊C4—111no—
828C22×C22⋊C4—111no—
829C22×C22⋊C4—111no—
830C22×C22⋊C4—111no—
831C22×C22⋊C4—111no—
832C22×C22⋊C4—111no—
833C22×C22⋊C4—111no—
834C22×C42—111no—
835C22×C42—111no—
836#400—111no—
837#400—111no—
838#400—111no—
839#400—111no—
840#400—111no—
841#400—111no—
842#400—111no—
843#400—111no—
844#400—111no—
845#400—111no—
846#400—111no—
847#400—111no—
848#400—111no—
849#400—111no—
850#400C2×D1111yescharacteristic, complemented
851#400C2×D1111yescharacteristic, complemented
852#397—111no—
853#397—111no—
854#397—111no—
855#397—111no—
856#397—111no—
857#397—111no—
858#397—111no—
859#397C2×D1111yescharacteristic, complemented
860#393—111no—
861#393—111no—
862#393—111no—
863#393—111no—
864#393—111no—
865#393—111no—
866#393—111no—
867#393C2×D1111yescharacteristic, complemented
868#391—111no—
869#391—111no—
870#391—111no—
871#391—111no—
872#391—111no—
873#391—111no—
874#391—111no—
875#391C2×D1111yescharacteristic, complemented
876#388—111no—
877#388—111no—
878#388—111no—
879#388—111no—
880#388—111no—
881#388—111no—
882#388—111no—
883#388—111no—
884#388—111no—
885#388—111no—
886#388—111no—
887#388—111no—
888#388—111no—
889#388—111no—
890#388C2×D1111yescharacteristic, complemented
891#388C2×D1111yescharacteristic, complemented
892#386—111no—
893#386—111no—
894#386—111no—
895#386—111no—
896#386—111no—
897#386—111no—
898#386—111no—
899#386—111no—
900#386—111no—
901#386—111no—
902#386—111no—
903#386—111no—
904#386—111no—
905#386—111no—
906#386C2×D1111yescharacteristic
907#386C2×D1111yescharacteristic
908#382—111no—
909#382—111no—
910#382—111no—
911#382—111no—
912#382—111no—
913#382—111no—
914#382—111no—
915#382C2×D1111yescharacteristic, complemented
916#381—111no—
917#381—111no—
918#381—111no—
919#381—111no—
920#381—111no—
921#381—111no—
922#381—111no—
923#381C2×D1111yescharacteristic, complemented
924C4×C22⋊C4—111no—
925C4×C22⋊C4—111no—
926C4×C22⋊C4—111no—
927C4×C22⋊C4—111no—
928C4×C22⋊C4—111no—
929C4×C22⋊C4—111no—
930C4×C22⋊C4—111no—
931C4×C22⋊C4C2×D1111yescharacteristic, complemented
932C2×#95—111no—
933C2×#95—111no—
934C2×#95—111no—
935C2×#95—111no—
936C2×#95—111no—
937C2×#95—111no—
938C2×#95—111no—
939C2×#95—111no—
940C2×#95—111no—
941C2×#95—111no—
942C2×#95—111no—
943C2×#95—111no—
944C2×#95—111no—
945C2×#95—111no—
946C2×#95—111no—
947C2×#95—111no—
948C2×#95—111no—
949C2×#95—111no—
950C2×#95—111no—
951C2×#95—111no—
952C2×#95—111no—
953C2×#95C2×D1111yescharacteristic, complemented
954C22×C11—22no—
955C22×C11—22no—
956C22×C11—22no—
957C22×C11—22no—
958C22×C11—22no—
959C22×C11—22no—
960C22×C11—41no—
961C22×C11—41no—
962C22×C11—41no—
963C22×C11—41no—
964C22×C11—41no—
965C22×C11—41no—
966C22×C11—41no—
967C22×C11C2×#12414yes—
968C22×C11C23×D411yescharacteristic
969C22×C11C22×#4111yescharacteristic
970C22×C11C22×#4111yescharacteristic
971C22×C11C22×#4111yescharacteristic
972C22×C11C22×#4111yescharacteristic
973C22×C11C2×H(5,𝔽2)11yescharacteristic
974C22×C11C2×2−1+411yescharacteristic
975C2×D11—22no—
976C2×D11—22no—
977C2×D11—22no—
978C2×D11—22no—
979C2×D11—22no—
980C2×D11—22no—
981C2×D11—232no—
982C2×D11—41no—
983C2×D11—41no—
984C2×D11—41no—
985C2×D11—41no—
986C2×D11—41no—
987C2×D11—41no—
988C2×D11—41no—
989C2×D11—88no—
990C2×D11C2×#12414yes—
991C2×D11C2×#12414yes—
992C2×D11#52914yes—
993C2×D11#53914yes—
994C2×D11#54614yes—
995C2×D11#54714yes—
996C2×D11#55114yes—
997C2×D11#55214yes—
998C4×C11—22no—
999C4×C11—22no—
1000C4×C11—22no—
1001C4×C11—22no—
1002C4×C11—41no—
1003C4×C11—41no—
1004C4×C11—41no—
1005C4×C11—41no—
1006C4×C11—41no—
1007C4×C11—41no—
1008C4×C11—41no—
1009C4×C11—41no—
1010C4×C11—41no—
1011Dic11—22no—
1012Dic11—22no—
1013Dic11—22no—
1014Dic11—22no—
1015Dic11—41no—
1016Dic11—41no—
1017Dic11—41no—
1018Dic11—41no—
1019Dic11—41no—
1020Dic11—41no—
1021Dic11—41no—
1022Dic11—41no—
1023Dic11—41no—
1024C25—111no—
1025C25—111no—
1026C22×Q8—111no—
1027C22×Q8—111no—
1028C22×Q8—111no—
1029C22×Q8—224no—
1030C22×Q8—224no—
1031C22×Q8—442no—
1032C22×Q8C22×D1111yescharacteristic
1033C22×D4—111no—
1034C22×D4—111no—
1035C22×D4—111no—
1036C22×D4—224no—
1037C22×D4—224no—
1038C22×D4—224no—
1039C22×D4C22×D1111yescharacteristic
1040C23×C4—111no—
1041C23×C4—111no—
1042C23×C4—111no—
1043C23×C4—111no—
1044C23×C4—111no—
1045C23×C4—111no—
1046C23×C4—111no—
1047C23×C4—111no—
1048C23×C4—111no—
1049C23×C4—111no—
1050C23×C4—111no—
1051C23×C4—111no—
1052C23×C4—111no—
1053C23×C4—111no—
1054C23×C4—111no—
1055C23×C4—111no—
1056C23×C4—111no—
1057C23×C4—111no—
1058C23×C4—111no—
1059C23×C4—111no—
1060C23×C4—111no—
1061C23×C4—111no—
1062C23×C4—224no—
1063C23×C4—224no—
1064C23×C4—224no—
1065C23×C4—224no—
1066C23×C4—224no—
1067C23×C4—224no—
1068C23×C4—224no—
1069C23×C4—442no—
1070C23×C4—442no—
1071C23×C4C22×D1111yescharacteristic
1072C23×C4C22×D1111yescharacteristic
1073C23×C4C22×D1111yescharacteristic
1074#123—24no—
1075#123—224no—
1076#123—224no—
1077#123—224no—
1078#123—224no—
1079#123—224no—
1080#123—224no—
1081#123—224no—
1082C22⋊Q8—24no—
1083C22⋊Q8—224no—
1084C22⋊Q8—224no—
1085C22⋊Q8—224no—
1086C22⋊Q8—224no—
1087C22⋊Q8—224no—
1088C22⋊Q8—224no—
1089C22⋊Q8—224no—
1090C2×C4⋊C4—111no—
1091C2×C4⋊C4—111no—
1092C2×C4⋊C4—111no—
1093C2×C4⋊C4—111no—
1094C2×C4⋊C4—111no—
1095C2×C4⋊C4—111no—
1096C2×C4⋊C4—111no—
1097C2×C4⋊C4—111no—
1098C2×C4⋊C4—111no—
1099C2×C4⋊C4—111no—
1100C2×C4⋊C4—111no—
1101C2×C4⋊C4—111no—
1102C2×C4⋊C4—111no—
1103C2×C4⋊C4—111no—
1104C2×C4⋊C4—111no—
1105C2×C4⋊C4—224no—
1106C2×C4⋊C4—224no—
1107C2×C4⋊C4—224no—
1108C2×C4⋊C4—224no—
1109C2×C4⋊C4—224no—
1110C2×C4⋊C4C22×D1111yescharacteristic
1111C2×C4⋊C4C22×D1111yescharacteristic
1112C2×C4⋊C4C22×D1111yescharacteristic
1113C2×C4⋊C4C22×D1111yescharacteristic
1114C2×C4⋊C4C22×D1111yescharacteristic
1115C2×C22⋊C4—111no—
1116C2×C22⋊C4—111no—
1117C2×C22⋊C4—111no—
1118C2×C22⋊C4—118no—
1119C2×C22⋊C4—111no—
1120C2×C22⋊C4—111no—
1121C2×C22⋊C4—111no—
1122C2×C22⋊C4—111no—
1123C2×C22⋊C4—111no—
1124C2×C22⋊C4—111no—
1125C2×C22⋊C4—111no—
1126C2×C22⋊C4—111no—
1127C2×C22⋊C4—111no—
1128C2×C22⋊C4—111no—
1129C2×C22⋊C4—111no—
1130C2×C22⋊C4—111no—
1131C2×C22⋊C4—111no—
1132C2×C22⋊C4—111no—
1133C2×C22⋊C4—111no—
1134C2×C22⋊C4—111no—
1135C2×C22⋊C4—111no—
1136C2×C22⋊C4—111no—
1137C2×C22⋊C4—111no—
1138C2×C22⋊C4—111no—
1139C2×C22⋊C4—111no—
1140C2×C22⋊C4—111no—
1141C2×C22⋊C4—111no—
1142C2×C22⋊C4—111no—
1143C2×C22⋊C4—224no—
1144C2×C22⋊C4—224no—
1145C2×C22⋊C4—224no—
1146C2×C22⋊C4—224no—
1147C2×C22⋊C4—224no—
1148C2×C22⋊C4—224no—
1149C2×C22⋊C4—442no—
1150C2×C22⋊C4—442no—
1151C2×C22⋊C4C22×D1111yescharacteristic
1152C2×C22⋊C4C22×D1111yescharacteristic
1153C2×C22⋊C4C22×D1111yescharacteristic
1154C2×C22⋊C4C22×D1111yescharacteristic
1155C2×C22⋊C4C22×D1111yescharacteristic
1156C2×C22⋊C4C22×D1111yescharacteristic
1157C2×C22⋊C4C22×D1111yescharacteristic
1158C2×C22⋊C4C22×D1111yescharacteristic
1159C2×C22⋊C4C22×D1111yescharacteristic
1160C2×C42—111no—
1161C2×C42—111no—
1162C2×C42—111no—
1163C2×C42—111no—
1164C2×C42—111no—
1165C2×C42—111no—
1166C2×C42—224no—
1167C2×C42—442no—
1168C2×C42C22×D1111yescharacteristic
1169C2×C42C22×D1111yescharacteristic
1170#95—111no—
1171#95—111no—
1172#95—111no—
1173#95—111no—
1174#95—111no—
1175#95—111no—
1176#95—111no—
1177#95—111no—
1178#95—111no—
1179#95—111no—
1180#95—111no—
1181#95—111no—
1182#95—111no—
1183#95—111no—
1184#95—111no—
1185#95—111no—
1186#95—111no—
1187#95—111no—
1188#95—111no—
1189#95—111no—
1190#95—111no—
1191#95—111no—
1192#95—111no—
1193#95—111no—
1194#95—111no—
1195#95—111no—
1196#95—111no—
1197#95—111no—
1198#95—111no—
1199#95—111no—
1200#95—111no—
1201#95—111no—
1202#95—111no—
1203#95—111no—
1204#95—111no—
1205#95—111no—
1206#95—111no—
1207#95—111no—
1208#95—111no—
1209#95—111no—
1210#95—111no—
1211#95—111no—
1212#95C22×D1111yescharacteristic
1213#95C22×D1111yescharacteristic
1214#95C22×D1111yescharacteristic
1215#95C22×D1111yescharacteristic
1216#95C22×D1111yescharacteristic
1217#95C22×D1111yescharacteristic
1218#95C22×D1111yescharacteristic
1219#95C22×D1111yescharacteristic
1220#95C22×D1111yescharacteristic
1221#95C22×D1111yescharacteristic
1222#95C22×D1111yescharacteristic
1223#95C22×D1111yescharacteristic
1224#95C22×D1111yescharacteristic
1225#95C22×D1111yescharacteristic
1226C2×C11—24no—
1227C2×C11—81no—
1228C2×C11C22×#12411yescharacteristic
1229C2×C11C2×#52911yescharacteristic
1230C2×C11C2×#53911yescharacteristic
1231C2×C11C2×#54611yescharacteristic
1232C2×C11C2×#54711yescharacteristic
1233C2×C11C2×#55111yescharacteristic
1234C2×C11C2×#55211yescharacteristic
1235D11—24no—
1236D11—81no—
1237D11#248818yesdirect product factor
1238C24—111no—
1239C24—114no—
1240C24—114no—
1241C24—114no—
1242C24—111no—
1243C24—111no—
1244C24—222no—
1245C24—222no—
1246C24—222no—
1247C24—222no—
1248C24—222no—
1249C24—222no—
1250C24—222no—
1251C24—222no—
1252C24—222no—
1253C24—222no—
1254C24—222no—
1255C24C23×D1111yescharacteristic
1256C24C23×D1111yescharacteristic
1257C2×Q8—22no—
1258C2×Q8—22no—
1259C2×Q8—41no—
1260C2×Q8—222no—
1261C2×Q8—222no—
1262C2×Q8—222no—
1263C2×Q8—222no—
1264C2×Q8—222no—
1265C2×Q8—222no—
1266C2×Q8—441no—
1267C2×Q8—441no—
1268C2×Q8—441no—
1269C2×Q8—4416no—
1270C2×D4—22no—
1271C2×D4—22no—
1272C2×D4—22no—
1273C2×D4—222no—
1274C2×D4—222no—
1275C2×D4—222no—
1276C2×D4—222no—
1277C2×D4—222no—
1278C2×D4—222no—
1279C2×D4—222no—
1280C2×D4—222no—
1281C2×D4—222no—
1282C2×D4—4416no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—41no—
1291C22×C4—41no—
1292C22×C4—111no—
1293C22×C4—111no—
1294C22×C4—111no—
1295C22×C4—111no—
1296C22×C4—114no—
1297C22×C4—114no—
1298C22×C4—114no—
1299C22×C4—114no—
1300C22×C4—111no—
1301C22×C4—111no—
1302C22×C4—111no—
1303C22×C4—111no—
1304C22×C4—111no—
1305C22×C4—111no—
1306C22×C4—111no—
1307C22×C4—111no—
1308C22×C4—111no—
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—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—222no—
1343C22×C4—222no—
1344C22×C4—222no—
1345C22×C4—222no—
1346C22×C4—222no—
1347C22×C4—222no—
1348C22×C4—222no—
1349C22×C4—222no—
1350C22×C4—222no—
1351C22×C4—222no—
1352C22×C4—222no—
1353C22×C4—222no—
1354C22×C4—222no—
1355C22×C4—222no—
1356C22×C4—222no—
1357C22×C4—222no—
1358C22×C4—222no—
1359C22×C4—222no—
1360C22×C4—222no—
1361C22×C4—222no—
1362C22×C4—222no—
1363C22×C4—222no—
1364C22×C4—222no—
1365C22×C4—441no—
1366C22×C4—441no—
1367C22×C4—441no—
1368C22×C4—441no—
1369C22×C4—4416no—
1370C22×C4—4416no—
1371C22×C4—4416no—
1372C22×C4—441no—
1373C22×C4—441no—
1374C22×C4C23×D1111yescharacteristic
1375C22×C4C23×D1111yescharacteristic
1376C22×C4C23×D1111yescharacteristic
1377C22×C4C23×D1111yescharacteristic
1378C22×C4C23×D1111yescharacteristic
1379C22×C4C23×D1111yescharacteristic
1380C22×C4C23×D1111yescharacteristic
1381C22×C4C23×D1111yescharacteristic
1382C22×C4C23×D1111yescharacteristic
1383C22×C4C23×D1111yescharacteristic
1384C22×C4C23×D1111yescharacteristic
1385C22×C4C23×D1111yescharacteristic
1386C22×C4C23×D1111yescharacteristic
1387C4⋊C4—22no—
1388C4⋊C4—22no—
1389C4⋊C4—22no—
1390C4⋊C4—22no—
1391C4⋊C4—22no—
1392C4⋊C4—222no—
1393C4⋊C4—222no—
1394C4⋊C4—222no—
1395C4⋊C4—222no—
1396C4⋊C4—222no—
1397C4⋊C4—222no—
1398C4⋊C4—222no—
1399C4⋊C4—222no—
1400C4⋊C4—222no—
1401C4⋊C4—222no—
1402C4⋊C4—222no—
1403C4⋊C4—222no—
1404C4⋊C4—222no—
1405C4⋊C4—222no—
1406C4⋊C4—222no—
1407C22⋊C4—22no—
1408C22⋊C4—22no—
1409C22⋊C4—22no—
1410C22⋊C4—22no—
1411C22⋊C4—22no—
1412C22⋊C4—22no—
1413C22⋊C4—41no—
1414C22⋊C4—41no—
1415C22⋊C4—114no—
1416C22⋊C4—114no—
1417C22⋊C4—114no—
1418C22⋊C4—222no—
1419C22⋊C4—222no—
1420C22⋊C4—222no—
1421C22⋊C4—222no—
1422C22⋊C4—222no—
1423C22⋊C4—222no—
1424C22⋊C4—222no—
1425C22⋊C4—222no—
1426C22⋊C4—222no—
1427C22⋊C4—222no—
1428C22⋊C4—222no—
1429C22⋊C4—222no—
1430C22⋊C4—222no—
1431C22⋊C4—222no—
1432C22⋊C4—222no—
1433C22⋊C4—222no—
1434C22⋊C4—222no—
1435C22⋊C4—222no—
1436C22⋊C4—441no—
1437C22⋊C4—441no—
1438C22⋊C4—441no—
1439C22⋊C4—441no—
1440C22⋊C4—441no—
1441C22⋊C4—441no—
1442C22⋊C4D4×D1114yes—
1443C42—22no—
1444C42—41no—
1445C42—222no—
1446C42—222no—
1447C42—222no—
1448C42—441no—
1449C42—441no—
1450C42—441no—
1451C11C2×#248811yescharacteristic, complemented, Sylow
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—112no—
1464C23—112no—
1465C23—112no—
1466C23—112no—
1467C23—112no—
1468C23—112no—
1469C23—112no—
1470C23—112no—
1471C23—112no—
1472C23—112no—
1473C23—1116no—
1474C23—228no—
1475C23—228no—
1476C23—228no—
1477C23—228no—
1478C23—228no—
1479C23—228no—
1480C23—221no—
1481C23—221no—
1482C23—221no—
1483C23—221no—
1484C23—221no—
1485C23—221no—
1486C23—221no—
1487C23—221no—
1488C23—221no—
1489C23—221no—
1490C23—221no—
1491C23—444no—
1492C23—444no—
1493C23—444no—
1494C23—444no—
1495C23—444no—
1496C23—444no—
1497C23—444no—
1498C23C2×D4×D1112yes—
1499C23#41×D1112yes—
1500C23#41×D1112yes—
1501C23C24×D1111yescharacteristic
1502Q8—44no—
1503Q8—444no—
1504Q8—444no—
1505Q8—444no—
1506D4—44no—
1507D4—444no—
1508D4—444no—
1509D4—444no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—44no—
1546C2×C4—44no—
1547C2×C4—44no—
1548C2×C4—112no—
1549C2×C4—112no—
1550C2×C4—112no—
1551C2×C4—112no—
1552C2×C4—228no—
1553C2×C4—228no—
1554C2×C4—228no—
1555C2×C4—228no—
1556C2×C4—221no—
1557C2×C4—221no—
1558C2×C4—221no—
1559C2×C4—221no—
1560C2×C4—221no—
1561C2×C4—221no—
1562C2×C4—221no—
1563C2×C4—221no—
1564C2×C4—221no—
1565C2×C4—221no—
1566C2×C4—221no—
1567C2×C4—221no—
1568C2×C4—221no—
1569C2×C4—221no—
1570C2×C4—221no—
1571C2×C4—221no—
1572C2×C4—221no—
1573C2×C4—221no—
1574C2×C4—221no—
1575C2×C4—221no—
1576C2×C4—221no—
1577C2×C4—221no—
1578C2×C4—221no—
1579C2×C4—221no—
1580C2×C4—221no—
1581C2×C4—221no—
1582C2×C4—221no—
1583C2×C4—221no—
1584C2×C4—221no—
1585C2×C4—221no—
1586C2×C4—221no—
1587C2×C4—221no—
1588C2×C4—221no—
1589C2×C4—221no—
1590C2×C4—221no—
1591C2×C4—444no—
1592C2×C4—444no—
1593C2×C4—444no—
1594C2×C4—444no—
1595C2×C4—444no—
1596C2×C4—444no—
1597C2×C4—444no—
1598C2×C4—444no—
1599C2×C4—444no—
1600C2×C4—444no—
1601C2×C4—444no—
1602C2×C4—444no—
1603C2×C4—444no—
1604C2×C4—444no—
1605C2×C4—444no—
1606C2×C4—444no—
1607C2×C4—444no—
1608C2×C4—444no—
1609C2×C4C2×D4×D1112yes—
1610C2×C4C2×D4×D1112yes—
1611C2×C4#41×D1112yes—
1612C2×C4#41×D1112yes—
1613C22—22no—
1614C22—22no—
1615C22—22no—
1616C22—22no—
1617C22—22no—
1618C22—22no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—114no—
1627C22—114no—
1628C22—114no—
1629C22—114no—
1630C22—114no—
1631C22—114no—
1632C22—114no—
1633C22—114no—
1634C22—2232no—
1635C22—222no—
1636C22—222no—
1637C22—222no—
1638C22—222no—
1639C22—222no—
1640C22—222no—
1641C22—441no—
1642C22—441no—
1643C22—441no—
1644C22—441no—
1645C22—441no—
1646C22—441no—
1647C22—441no—
1648C22—888no—
1649C22D11×#12414yes—
1650C22C22×D4×D1111yescharacteristic
1651C22C2×#41×D1111yescharacteristic
1652C22C2×#41×D1111yescharacteristic
1653C22C2×#41×D1111yescharacteristic
1654C22C2×#41×D1111yescharacteristic
1655C22D11×H(5,𝔽2)11yescharacteristic
1656C22D11×2−1+411yescharacteristic
1657C4—22no—
1658C4—22no—
1659C4—22no—
1660C4—22no—
1661C4—41no—
1662C4—41no—
1663C4—41no—
1664C4—41no—
1665C4—41no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—222no—
1671C4—222no—
1672C4—222no—
1673C4—222no—
1674C4—441no—
1675C4—441no—
1676C4—441no—
1677C4—441no—
1678C4—441no—
1679C4—441no—
1680C4—441no—
1681C4—441no—
1682C4—441no—
1683C2—24no—
1684C2—81no—
1685C2—118no—
1686C2—224no—
1687C2—881no—
1688C2C2×D11×#12411yescharacteristic
1689C2D11×#52911yescharacteristic
1690C2D11×#53911yescharacteristic
1691C2D11×#54611yescharacteristic
1692C2D11×#54711yescharacteristic
1693C2D11×#55111yescharacteristic
1694C2D11×#55211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2488C2
prime radicalC22×D4×D11C22
hypercenter#2488D11
hypocenterC11C2×#2488
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2488

Complements

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

NH ≅ G/Ntype
2. C2×D11×C22⋊Q8C2semidirect
3. #13072949C2semidirect
4. #13072948C2semidirect
5. #13072947C2semidirect
6. #13072946C2semidirect
7. #13072945C2semidirect
8. #13072944C2semidirect
9. #13072943C2semidirect
10. #13072942C2semidirect
11. #13072941C2semidirect
12. #13072940C2semidirect
13. #13072939C2semidirect
14. #13072938C2semidirect
15. #13072937C2semidirect
16. #13072936C2semidirect
17. #13072935C2semidirect
18. D11×#400C2semidirect
19. D11×#400C2semidirect
20. D11×#397C2semidirect
21. D11×#393C2semidirect
22. D11×#391C2semidirect
23. D11×#388C2semidirect
24. D11×#388C2semidirect
27. D11×#382C2semidirect
28. D11×#381C2semidirect
29. C4×C22⋊C4×D11C2semidirect
30. C2×D11×#95C2semidirect
31. C11×#2488C2semidirect
38. C2×C11×C22⋊Q8C22semidirect
39. C2×#66999C22semidirect
42. C2×#66977C22semidirect
45. C2×#66950C22semidirect
46. C2×#66949C22semidirect
47. C2×#66949C22semidirect
67. C2×#66931C22semidirect
68. C2×#66931C22semidirect
71. C11×#400C22semidirect
72. C11×#400C22semidirect
73. C11×#397C22semidirect
74. C11×#393C22semidirect
75. C11×#391C22semidirect
76. C11×#388C22semidirect
77. C11×#388C22semidirect
80. C11×#382C22semidirect
81. C11×#381C22semidirect
82. C4×C11×C22⋊C4C22semidirect
83. C2×C11×#95C22semidirect
84. #10622844C22semidirect
85. #10622843C22semidirect
90. #10622824C22semidirect
91. C4×C22⋊Dic11C22semidirect
92. C2×C11⋊#95C22semidirect
93. C2×C11⋊#95C22semidirect
94. C2×C11⋊#95C22semidirect
95. #10622606C22semidirect
96. #10622603C22semidirect
97. #10622603C22semidirect
98. #10622599C22semidirect
99. #10622599C22semidirect
100. #10622595C22semidirect
101. #10622595C22semidirect
102. #10622590C22semidirect
103. #10622590C22semidirect
104. #10622587C22semidirect
111. #10622566C22semidirect
112. #10622565C22semidirect
113. #10622565C22semidirect
114. #10622564C22semidirect
115. #10622564C22semidirect
116. #10622560C22semidirect
117. #10622560C22semidirect
118. #10622560C22semidirect
119. #10622558C22semidirect
120. #10622558C22semidirect
121. #10622557C22semidirect
122. #10622557C22semidirect
123. #10622556C22semidirect
124. #10622556C22semidirect
125. C22⋊C4×Dic11C22semidirect
126. C22⋊C4×Dic11C22semidirect
127. #10622553C22semidirect
128. #10622553C22semidirect
129. C4×(C2×D11)⋊C4C22semidirect
130. C4×(C2×D11)⋊C4C22semidirect
131. #10622549C22semidirect
132. #10622542C22semidirect
133. #10622288C22semidirect
134. #10622288C22semidirect
135. #10622287C22semidirect
136. #10622286C22semidirect
137. #10622286C22semidirect
138. #10622286C22semidirect
139. #10622283C22semidirect
140. #10622283C22semidirect
141. #10622282C22semidirect
142. #10622282C22semidirect
143. #10622279C22semidirect
144. #10622279C22semidirect
149. #10622277C22semidirect
150. #10622277C22semidirect
151. #10622277C22semidirect
152. #10622277C22semidirect
167. D11×#95C22semidirect
168. D11×#95C22semidirect
169. D11×#95C22semidirect
170. D11×#95C22semidirect
171. #10622273C22semidirect
172. #10622273C22semidirect
173. #10622273C22semidirect
174. #10622273C22semidirect
175. #10622272C22semidirect
176. #10622272C22semidirect
177. #10622271C22semidirect
178. #10622271C22semidirect
179. #10622271C22semidirect
180. #10622271C22semidirect
181. #10622263C22semidirect
182. #10622263C22semidirect
183. #10622263C22semidirect
184. #10622263C22semidirect
185. #10622259C22semidirect
186. #10622259C22semidirect
187. #10622259C22semidirect
188. #10622259C22semidirect
622. #2488D11direct (N × H)
819. C2×C22⋊Q8C2×D11semidirect
850. #400C2×D11semidirect
851. #400C2×D11semidirect
859. #397C2×D11semidirect
867. #393C2×D11semidirect
875. #391C2×D11semidirect
890. #388C2×D11semidirect
891. #388C2×D11semidirect
915. #382C2×D11semidirect
923. #381C2×D11semidirect
931. C4×C22⋊C4C2×D11semidirect
953. C2×#95C2×D11semidirect
1237. D11#2488direct (N × H)
1451. C11C2×#2488semidirect

Maximal subgroups

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

subgroupindex
C2×D11×#1232
C2×D11×C22⋊Q82
#130729492
#130729482
#130729472
#130729462
#130729452
#130729442
#130729432
#130729422
#130729412
#130729402
#130729392
#130729382
#130729372
#130729362
#130729352
D11×#4002
D11×#3972
D11×#3932
D11×#3912
D11×#3882
D11×#3862
D11×#3822
D11×#3812
C4×C22⋊C4×D112
C2×D11×#952
C11×#24882
C2×#248811