Finite Group Databasebeta

← D11×#2474 #14922140

Subgroups — D11×#2474 #14922140

Order 2816.

2962 conjugacy classes of subgroups.

The subgroup lattice has 1676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D11×#124C211yesmaximal, characteristic
2C2×D11×#117C211yesmaximal, characteristic, complemented
3#13072779C211yesmaximal, characteristic, complemented
4#13072778C211yesmaximal, characteristic, complemented
5#13072777C211yesmaximal, characteristic, complemented
6#13072776C211yesmaximal, characteristic, complemented
7#13072775C211yesmaximal, characteristic, complemented
8#13072774C211yesmaximal, characteristic, complemented
9#13072773C211yesmaximal, characteristic, complemented
10#13072772C211yesmaximal, characteristic, complemented
11#13072771C211yesmaximal, characteristic, complemented
12#13072770C211yesmaximal, characteristic, complemented
13#13072769C211yesmaximal, characteristic, complemented
14#13072768C211yesmaximal, characteristic, complemented
15#13072767C211yesmaximal, characteristic, complemented
16#13072766C211yesmaximal, characteristic, complemented
17#13072765C211yesmaximal, characteristic, complemented
18D11×#397C211yesmaximal, characteristic, complemented
19D11×#396C211yesmaximal, characteristic, complemented
20D11×#395C211yesmaximal, characteristic, complemented
21D11×#394C211yesmaximal, characteristic
22D11×#391C211yesmaximal, characteristic, complemented
23D11×#388C211yesmaximal, characteristic, complemented
24D11×#388C211yesmaximal, characteristic, complemented
25D11×#388C211yesmaximal, characteristic, complemented
26D11×#388C211yesmaximal, characteristic, complemented
27D11×#387C211yesmaximal, characteristic, complemented
28D11×#386C211yesmaximal, characteristic
29D11×#385C211yesmaximal, characteristic, complemented
30C4×C4⋊C4×D11C211yesmaximal, characteristic, complemented
31C11×#2474C211yesmaximal, characteristic, complemented
32C22×Q8×D11C2211yescharacteristic
33C22×D4×D11C2211yescharacteristic
34C23×C4×D11C2211yescharacteristic
35C2×C11×#124C2211yescharacteristic
36C2×C11×#117C2211yescharacteristic, complemented
37C2×#67000C2211yescharacteristic
38C2×#66989C2211yescharacteristic
39C2×#66979C2211yescharacteristic, complemented
40D11×#124—28no—
41D11×#117—28no—
42C2×#66945C2211yescharacteristic, complemented
43C2×#66945C2211yescharacteristic, complemented
44C2×C4⋊C4×D11C2211yescharacteristic
45C2×C4⋊C4×D11C2211yescharacteristic
46C2×C4⋊C4×D11C2211yescharacteristic
47C2×C4⋊C4×D11C2211yescharacteristic
48C2×C4⋊C4×D11C2211yescharacteristic
49C2×C4⋊C4×D11C2211yescharacteristic
50C2×C4⋊C4×D11C2211yescharacteristic
51C2×#66938C2211yescharacteristic
52C2×#66938C2211yescharacteristic
53C2×#66938C2211yescharacteristic
54C2×#66938C2211yescharacteristic
55C2×C22⋊C4×D11C2211yescharacteristic
56C2×C22⋊C4×D11C2211yescharacteristic
57C2×C22⋊C4×D11C2211yescharacteristic
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×#66930C2211yescharacteristic, complemented
67C2×#66930C2211yescharacteristic, complemented
68C2×#66928C2211yescharacteristic
69C2×#66925C2211yescharacteristic, complemented
70C2×#66925C2211yescharacteristic, complemented
71C2×C42×D11C2211yescharacteristic
72C2×C42×D11C2211yescharacteristic
73C2×C42×D11C2211yescharacteristic
74C2×C42×D11C2211yescharacteristic
75C11×#397C2211yescharacteristic, complemented
76C11×#396C2211yescharacteristic, complemented
77C11×#395C2211yescharacteristic, complemented
78C11×#394C2211yescharacteristic
79C11×#391C2211yescharacteristic, complemented
80C11×#388C2211yescharacteristic, complemented
81C11×#388C2211yescharacteristic, complemented
82C11×#388C2211yescharacteristic, complemented
83C11×#388C2211yescharacteristic, complemented
84C11×#387C2211yescharacteristic, complemented
85C11×#386C2211yescharacteristic
86C11×#385C2211yescharacteristic, complemented
87C4×C11×C4⋊C4C2211yescharacteristic, complemented
88#10622843C2211yescharacteristic, complemented
89#10622842C2211yescharacteristic, complemented
90#10622835C2211yescharacteristic
91#10622833C2211yescharacteristic
92#10622826C2211yescharacteristic
93#10622823C2211yescharacteristic, complemented
94#10622607C2211yescharacteristic, complemented
95#10622607C2211yescharacteristic, complemented
96#10622607C2211yescharacteristic, complemented
97#10622606C2211yescharacteristic, complemented
98#10622604C2211yescharacteristic
99#10622603C2211yescharacteristic, complemented
100#10622603C2211yescharacteristic, complemented
101#10622603C2211yescharacteristic, complemented
102#10622603C2211yescharacteristic, complemented
103#10622602C2211yescharacteristic, complemented
104#10622602C2211yescharacteristic, complemented
105#10622594C2211yescharacteristic, complemented
106#10622592C2211yescharacteristic, complemented
107#10622592C2211yescharacteristic, complemented
108#10622592C2211yescharacteristic, complemented
109#10622591C2211yescharacteristic, complemented
110C4⋊C4×Dic11C2211yescharacteristic, complemented
111C4⋊C4×Dic11C2211yescharacteristic, complemented
112#10622587C2211yescharacteristic, complemented
113#10622574C2211yescharacteristic
114#10622574C2211yescharacteristic
115#10622572C2211yescharacteristic
116#10622572C2211yescharacteristic
117#10622571C2211yescharacteristic
118#10622569C2211yescharacteristic
119#10622569C2211yescharacteristic
120#10622566C2211yescharacteristic, complemented
121#10622565C2211yescharacteristic, complemented
122#10622565C2211yescharacteristic, complemented
123#10622564C2211yescharacteristic, complemented
124#10622564C2211yescharacteristic, complemented
125#10622564C2211yescharacteristic, complemented
126#10622564C2211yescharacteristic, complemented
127#10622563C2211yescharacteristic, complemented
128#10622561C2211yescharacteristic, complemented
129#10622561C2211yescharacteristic, complemented
130#10622561C2211yescharacteristic, complemented
131#10622559C2211yescharacteristic, complemented
132#10622558C2211yescharacteristic, complemented
133#10622558C2211yescharacteristic, complemented
134#10622558C2211yescharacteristic, complemented
135#10622558C2211yescharacteristic, complemented
136#10622557C2211yescharacteristic, complemented
137#10622557C2211yescharacteristic, complemented
138#10622557C2211yescharacteristic, complemented
139#10622557C2211yescharacteristic, complemented
140#10622553C2211yescharacteristic, complemented
141#10622553C2211yescharacteristic, complemented
142#10622553C2211yescharacteristic, complemented
143#10622553C2211yescharacteristic, complemented
144C4×C4⋊Dic11C2211yescharacteristic, complemented
145#10622546C2211yescharacteristic, complemented
146C4×Dic11⋊C4C2211yescharacteristic, complemented
147C4×Dic11⋊C4C2211yescharacteristic, complemented
148#10622542C2211yescharacteristic, complemented
149#10622289C2211yescharacteristic, complemented
150#10622288C2211yescharacteristic, complemented
151#10622288C2211yescharacteristic, complemented
152#10622287C2211yescharacteristic, complemented
153#10622285C2211yescharacteristic
154#10622283C2211yescharacteristic, complemented
155#10622283C2211yescharacteristic, complemented
156#10622283C2211yescharacteristic, complemented
157#10622283C2211yescharacteristic, complemented
158#10622282C2211yescharacteristic, complemented
159#10622282C2211yescharacteristic, complemented
160#10622282C2211yescharacteristic, complemented
161#10622282C2211yescharacteristic, complemented
162#10622281C2211yescharacteristic, complemented
163#10622281C2211yescharacteristic, complemented
164#10622278C2211yescharacteristic
165#10622278C2211yescharacteristic
166D11×#95C2211yescharacteristic
167D11×#95C2211yescharacteristic
168D11×#95C2211yescharacteristic
169D11×#95C2211yescharacteristic
170D11×#95C2211yescharacteristic
171D11×#95C2211yescharacteristic
172D11×#95C2211yescharacteristic
173D11×#95C2211yescharacteristic
174D11×#95C2211yescharacteristic
175D11×#95C2211yescharacteristic
176#10622269C2211yescharacteristic, complemented
177#10622269C2211yescharacteristic, complemented
178#10622269C2211yescharacteristic, complemented
179#10622268C2211yescharacteristic, complemented
180#10622267C2211yescharacteristic, complemented
181#10622266C2211yescharacteristic, complemented
182#10622265C2211yescharacteristic, complemented
183#10622262C2211yescharacteristic, complemented
184#10622262C2211yescharacteristic, 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
194C22×C22⋊D11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C23×Dic11C2311yescharacteristic
197C2×Q8×D11—24no—
198C2×Q8×D11—24no—
199C2×Q8×D11—42no—
200C2×D4×D11—24no—
201C2×D4×D11—24no—
202C2×D4×D11—42no—
203C22×D44C2311yescharacteristic
204C22×C4×D11—24no—
205C22×C4×D11—24no—
206C22×C4×D11—24no—
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×Dic22C2311yescharacteristic
223C22×Dic22C2311yescharacteristic
224C22×Dic22C2311yescharacteristic
225C11×#124—24no—
226C11×#117—24no—
227C2×C11×C4⋊C4C2311yescharacteristic
228C2×C11×C4⋊C4C2311yescharacteristic
229C2×C11×C4⋊C4C2311yescharacteristic
230C2×C11×C4⋊C4C2311yescharacteristic
231C2×C11×C4⋊C4C2311yescharacteristic
232C2×C11×C4⋊C4C2311yescharacteristic
233C2×C11×C4⋊C4C2311yescharacteristic
234C2×C11×C22⋊C4C2311yescharacteristic
235C2×C11×C22⋊C4C2311yescharacteristic
236C2×C11×C22⋊C4C2311yescharacteristic
237C2×C11×C22⋊C4C2311yescharacteristic
238C2×C11×C22⋊C4C2311yescharacteristic
239C2×C11×C22⋊C4C2311yescharacteristic
240C2×C11×C22⋊C4C2311yescharacteristic
241C2×C11×C22⋊C4C2311yescharacteristic
242C2×C11×C22⋊C4C2311yescharacteristic
243C2×C11×C22⋊C4C2311yescharacteristic
244C2×C11×C22⋊C4C2311yescharacteristic
245C2×C42×C11C2311yescharacteristic
246C2×C42×C11C2311yescharacteristic
247C2×C42×C11C2311yescharacteristic
248C2×C42×C11C2311yescharacteristic
249C2×C22⋊Dic11C2311yescharacteristic
250C2×C22⋊Dic11C2311yescharacteristic
251C2×C22⋊Dic11C2311yescharacteristic
252C2×C22⋊Dic11C2311yescharacteristic
253C2×C22⋊Dic11C2311yescharacteristic
254C2×C22⋊Dic11C2311yescharacteristic
255C2×C22⋊Dic11C2311yescharacteristic
256C2×C22⋊Dic11C2311yescharacteristic
257C2×C22⋊Dic11C2311yescharacteristic
258C2×C22⋊Dic11C2311yescharacteristic
259C2×C22⋊Dic11C2311yescharacteristic
260#67000—24no—
261#66989—24no—
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×(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
284#66979—24no—
285C2×C4⋊Dic11C2311yescharacteristic
286C2×C4⋊Dic11C2311yescharacteristic
287C2×C4⋊Dic11C2311yescharacteristic
288C2×C4⋊Dic11C2311yescharacteristic
289C2×C4⋊Dic11C2311yescharacteristic
290C2×C4⋊Dic11C2311yescharacteristic
291C2×C4⋊Dic11C2311yescharacteristic
292C2×Dic11⋊C4C2311yescharacteristic
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×Dic11⋊C4C2311yescharacteristic
304C2×Dic11⋊C4C2311yescharacteristic
305C2×Dic11⋊C4C2311yescharacteristic
306C2×C4×Dic11C2311yescharacteristic
307C2×C4×Dic11C2311yescharacteristic
308C2×C4×Dic11C2311yescharacteristic
309C2×C4×Dic11C2311yescharacteristic
310C2×C4×Dic11C2311yescharacteristic
311C2×C4×Dic11C2311yescharacteristic
312C2×C4×Dic11C2311yescharacteristic
313C2×C4×Dic11C2311yescharacteristic
314C2×C4×Dic11C2311yescharacteristic
315C2×C4×Dic11C2311yescharacteristic
316C2×C4×Dic11C2311yescharacteristic
317C2×C4×Dic11C2311yescharacteristic
318#66945—24no—
319#66945—24no—
320C4⋊C4×D11—24no—
321C4⋊C4×D11—24no—
322C4⋊C4×D11—24no—
323C4⋊C4×D11—24no—
324C4⋊C4×D11—24no—
325C4⋊C4×D11—42no—
326C4⋊C4×D11—42no—
327#66938—24no—
328#66938—24no—
329#66938—24no—
330#66938—24no—
331C22⋊C4×D11—24no—
332C22⋊C4×D11—24no—
333C22⋊C4×D11—24no—
334C22⋊C4×D11—24no—
335C22⋊C4×D11—24no—
336C22⋊C4×D11—24no—
337C22⋊C4×D11—24no—
338C22⋊C4×D11—24no—
339C22⋊C4×D11—42no—
340C22⋊C4×D11—42no—
341C22⋊C4×D11D418yes—
342#66930—24no—
343#66930—24no—
344#66928—24no—
345#66925—24no—
346#66925—24no—
347C42×D11—24no—
348C42×D11—24no—
349C42×D11—24no—
350C42×D11—24no—
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×#2474—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×D11—22no—
406C23×D11—22no—
407C23×D11C2×D414yes—
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—41no—
417C22×C4×C11—22no—
418C22×C4×C11—22no—
419C22×C4×C11—22no—
420C22×C4×C11C2411yescharacteristic
421C22×C4×C11C2411yescharacteristic
422C22×C4×C11C2411yescharacteristic
423C22×C4×C11C2411yescharacteristic
424C22×C4×C11C2411yescharacteristic
425C22×C4×C11C2411yescharacteristic
426C22×C4×C11C2411yescharacteristic
427C22×C4×C11C2411yescharacteristic
428C22×C4×C11C2411yescharacteristic
429C22×C4×C11C2411yescharacteristic
430C22×C4×C11C2411yescharacteristic
431C22×C4×C11C2411yescharacteristic
432C22×C4×C11C2411yescharacteristic
433C2×C22⋊D11—22no—
434C2×C22⋊D11—22no—
435C2×C22⋊D11—22no—
436C2×C22⋊D11—22no—
437C2×C22⋊D11—41no—
438C2×C22⋊D11—41no—
439C22×Dic11—22no—
440C22×Dic11—22no—
441C22×Dic11—22no—
442C22×Dic11C2411yescharacteristic
443C22×Dic11C2411yescharacteristic
444C22×Dic11C2411yescharacteristic
445C22×Dic11C2411yescharacteristic
446C22×Dic11C2411yescharacteristic
447C22×Dic11C2411yescharacteristic
448C22×Dic11C2411yescharacteristic
449C22×Dic11C2411yescharacteristic
450C22×Dic11C2411yescharacteristic
451C22×Dic11C2411yescharacteristic
452C22×Dic11C2411yescharacteristic
453C22×Dic11C2411yescharacteristic
454C22×Dic11C2411yescharacteristic
455Q8×D11—416no—
456D4×D11—416no—
457C2×D44—22no—
458C2×D44—22no—
459C2×D44—41no—
460C2×C4×D11—232no—
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—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×D11C2×D414yes—
501C2×C4×D11C2×D414yes—
502C2×C4×D11#4114yes—
503C2×C4×D11#4114yes—
504C2×C4×D11#4114yes—
505C2×C4×D11#4114yes—
506C2×Dic22—22no—
507C2×Dic22—22no—
508C2×Dic22—22no—
509C2×Dic22—22no—
510C2×Dic22—22no—
511C2×Dic22—22no—
512C2×Dic22—41no—
513C2×Dic22—41no—
514C2×Dic22—41no—
515C11×C4⋊C4—22no—
516C11×C4⋊C4—22no—
517C11×C4⋊C4—22no—
518C11×C4⋊C4—22no—
519C11×C4⋊C4—22no—
520C11×C4⋊C4—41no—
521C11×C4⋊C4—41no—
522C11×C22⋊C4—22no—
523C11×C22⋊C4—22no—
524C11×C22⋊C4—22no—
525C11×C22⋊C4—22no—
526C11×C22⋊C4—22no—
527C11×C22⋊C4—22no—
528C11×C22⋊C4—22no—
529C11×C22⋊C4—22no—
530C11×C22⋊C4—41no—
531C11×C22⋊C4—41no—
532C11×C22⋊C4C2×D414yes—
533C42×C11—22no—
534C42×C11—22no—
535C42×C11—22no—
536C42×C11—22no—
537C22⋊Dic11—22no—
538C22⋊Dic11—22no—
539C22⋊Dic11—22no—
540C22⋊Dic11—22no—
541C22⋊Dic11—22no—
542C22⋊Dic11—22no—
543C22⋊Dic11—22no—
544C22⋊Dic11—22no—
545C22⋊Dic11—41no—
546C22⋊Dic11—41no—
547C22⋊Dic11C2×D414yes—
548(C2×D11)⋊C4—22no—
549(C2×D11)⋊C4—22no—
550(C2×D11)⋊C4—22no—
551(C2×D11)⋊C4—22no—
552(C2×D11)⋊C4—22no—
553(C2×D11)⋊C4—22no—
554(C2×D11)⋊C4—22no—
555(C2×D11)⋊C4—22no—
556(C2×D11)⋊C4—22no—
557(C2×D11)⋊C4—22no—
558(C2×D11)⋊C4—22no—
559(C2×D11)⋊C4—22no—
560(C2×D11)⋊C4—22no—
561(C2×D11)⋊C4—22no—
562(C2×D11)⋊C4—22no—
563(C2×D11)⋊C4—22no—
564(C2×D11)⋊C4—41no—
565(C2×D11)⋊C4—41no—
566(C2×D11)⋊C4—41no—
567(C2×D11)⋊C4—41no—
568(C2×D11)⋊C4C2×D414yes—
569(C2×D11)⋊C4C2×D414yes—
570C4⋊Dic11—22no—
571C4⋊Dic11—22no—
572C4⋊Dic11—22no—
573C4⋊Dic11—22no—
574C4⋊Dic11—22no—
575C4⋊Dic11—41no—
576C4⋊Dic11—41no—
577Dic11⋊C4—22no—
578Dic11⋊C4—22no—
579Dic11⋊C4—22no—
580Dic11⋊C4—22no—
581Dic11⋊C4—22no—
582Dic11⋊C4—22no—
583Dic11⋊C4—22no—
584Dic11⋊C4—22no—
585Dic11⋊C4—22no—
586Dic11⋊C4—22no—
587Dic11⋊C4—41no—
588Dic11⋊C4—41no—
589Dic11⋊C4—41no—
590Dic11⋊C4—41no—
591C4×Dic11—22no—
592C4×Dic11—22no—
593C4×Dic11—22no—
594C4×Dic11—22no—
595C4×Dic11—22no—
596C4×Dic11—22no—
597C4×Dic11—22no—
598C4×Dic11—22no—
599C4×Dic11—22no—
600C4×Dic11—22no—
601C4×Dic11—22no—
602C4×Dic11—22no—
603C22×#124—111no—
604C22×#117—111no—
605#2474—111no—
606#2474—111no—
607#2474—111no—
608#2474—111no—
609#2474—111no—
610#2474—111no—
611#2474—111no—
612#2474—111no—
613#2474—111no—
614#2474—111no—
615#2474—111no—
616#2474—111no—
617#2474—111no—
618#2474—111no—
619#2474—111no—
620#2474D1111yescharacteristic, direct product factor
621C2×#397—111no—
622C2×#396—111no—
623C2×#395—111no—
624C2×#394—111no—
625C2×#391—111no—
626C2×#388—111no—
627C2×#388—111no—
628C2×#388—111no—
629C2×#388—111no—
630C2×#387—111no—
631C2×#386—111no—
632C2×#385—111no—
633C2×C4×C4⋊C4—111no—
634C23×C11—21no—
635C23×C11—21no—
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×C11C2511yescharacteristic
649C22×D11—21no—
650C22×D11—21no—
651C22×D11—21no—
652C22×D11—21no—
653C22×D11—21no—
654C22×D11—21no—
655C22×D11—28no—
656C22×D11—28no—
657C22×D11—28no—
658C22×D11—21no—
659C22×D11—21no—
660C22×D11—21no—
661C22×D11—21no—
662C22×D11—21no—
663C22×D11—21no—
664C22×D11—21no—
665C22×D11—44no—
666C22×D11—44no—
667C22×D11—44no—
668C22×D11—44no—
669C22×D11—44no—
670C22×D11—44no—
671C22×D11—44no—
672C22×D11—44no—
673C22×D11—44no—
674C22×D11—44no—
675C22×D11—44no—
676C22×D11C22×D412yes—
677C22×D11C22×D412yes—
678C22×D11C2×#4112yes—
679C22×D11C2×#4112yes—
680C22×D11C2×#4112yes—
681C22×D11C2×#4112yes—
682C22×D11H(5,𝔽2)12yes—
683C22×D112−1+412yes—
684Q8×C11—44no—
685D4×C11—44no—
686C2×C4×C11—28no—
687C2×C4×C11—21no—
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×C11C22×D412yes—
721C2×C4×C11C22×D412yes—
722C2×C4×C11C2×#4112yes—
723C2×C4×C11C2×#4112yes—
724C2×C4×C11C2×#4112yes—
725C2×C4×C11C2×#4112yes—
726C22⋊D11—44no—
727C22⋊D11—44no—
728C2×Dic11—28no—
729C2×Dic11—21no—
730C2×Dic11—21no—
731C2×Dic11—21no—
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×Dic11C22×D412yes—
763C2×Dic11C22×D412yes—
764C2×Dic11C2×#4112yes—
765C2×Dic11C2×#4112yes—
766C2×Dic11C2×#4112yes—
767C2×Dic11C2×#4112yes—
768D44—44no—
769C4×D11—28no—
770C4×D11—28no—
771C4×D11—28no—
772C4×D11—28no—
773C4×D11—28no—
774C4×D11—28no—
775C4×D11—28no—
776C4×D11—28no—
777C4×D11—44no—
778C4×D11—44no—
779C4×D11—44no—
780C4×D11—44no—
781C4×D11—44no—
782C4×D11—44no—
783C4×D11—44no—
784Dic22—44no—
785Dic22—44no—
786Dic22—44no—
787C23×Q8—111no—
788C23×D4—111no—
789C24×C4—111no—
790C2×#124—111no—
791C2×#124—111no—
792C2×#124—111no—
793C2×#124—111no—
794C2×#124—111no—
795C2×#124—111no—
796C2×#124—111no—
797C2×#124—228no—
798C2×#124C2×D1111yescharacteristic
799C2×#117—111no—
800C2×#117—111no—
801C2×#117—111no—
802C2×#117—111no—
803C2×#117—111no—
804C2×#117—111no—
805C2×#117—111no—
806C2×#117—228no—
807C2×#117C2×D1111yescharacteristic, complemented
808C22×C4⋊C4—111no—
809C22×C4⋊C4—111no—
810C22×C4⋊C4—111no—
811C22×C4⋊C4—111no—
812C22×C4⋊C4—111no—
813C22×C4⋊C4—111no—
814C22×C4⋊C4—111no—
815C22×C22⋊C4—111no—
816C22×C22⋊C4—111no—
817C22×C22⋊C4—111no—
818C22×C22⋊C4—111no—
819C22×C22⋊C4—111no—
820C22×C22⋊C4—111no—
821C22×C22⋊C4—111no—
822C22×C22⋊C4—111no—
823C22×C22⋊C4—111no—
824C22×C22⋊C4—111no—
825C22×C22⋊C4—111no—
826C22×C42—111no—
827C22×C42—111no—
828C22×C42—111no—
829C22×C42—111no—
830#397—111no—
831#397—111no—
832#397—111no—
833#397—111no—
834#397—111no—
835#397—111no—
836#397—111no—
837#397C2×D1111yescharacteristic, complemented
838#396—111no—
839#396—111no—
840#396—111no—
841#396—111no—
842#396—111no—
843#396—111no—
844#396—111no—
845#396C2×D1111yescharacteristic, complemented
846#395—111no—
847#395—111no—
848#395—111no—
849#395—111no—
850#395—111no—
851#395—111no—
852#395—111no—
853#395C2×D1111yescharacteristic, complemented
854#394—111no—
855#394—111no—
856#394—111no—
857#394—111no—
858#394—111no—
859#394—111no—
860#394—111no—
861#394C2×D1111yescharacteristic
862#391—111no—
863#391—111no—
864#391—111no—
865#391—111no—
866#391—111no—
867#391—111no—
868#391—111no—
869#391C2×D1111yescharacteristic, complemented
870#388—111no—
871#388—111no—
872#388—111no—
873#388—111no—
874#388—111no—
875#388—111no—
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#388—111no—
891#388—111no—
892#388—111no—
893#388—111no—
894#388—111no—
895#388—111no—
896#388—111no—
897#388—111no—
898#388C2×D1111yescharacteristic, complemented
899#388C2×D1111yescharacteristic, complemented
900#388C2×D1111yescharacteristic, complemented
901#388C2×D1111yescharacteristic, complemented
902#387—111no—
903#387—111no—
904#387—111no—
905#387—111no—
906#387—111no—
907#387—111no—
908#387—111no—
909#387C2×D1111yescharacteristic, complemented
910#386—111no—
911#386—111no—
912#386—111no—
913#386—111no—
914#386—111no—
915#386—111no—
916#386—111no—
917#386C2×D1111yescharacteristic
918#385—111no—
919#385—111no—
920#385—111no—
921#385—111no—
922#385—111no—
923#385—111no—
924#385—111no—
925#385C2×D1111yescharacteristic, complemented
926C4×C4⋊C4—111no—
927C4×C4⋊C4—111no—
928C4×C4⋊C4—111no—
929C4×C4⋊C4—111no—
930C4×C4⋊C4—111no—
931C4×C4⋊C4—111no—
932C4×C4⋊C4—111no—
933C4×C4⋊C4C2×D1111yescharacteristic, complemented
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—
944C22×C11—22no—
945C22×C11—22no—
946C22×C11—22no—
947C22×C11—41no—
948C22×C11—41no—
949C22×C11—41no—
950C22×C11—41no—
951C22×C11—41no—
952C22×C11—41no—
953C22×C11—41no—
954C22×C11—41no—
955C22×C11—41no—
956C22×C11—41no—
957C22×C11—41no—
958C22×C11C23×D411yescharacteristic
959C22×C11C22×#4111yescharacteristic
960C22×C11C22×#4111yescharacteristic
961C22×C11C22×#4111yescharacteristic
962C22×C11C22×#4111yescharacteristic
963C22×C11C2×H(5,𝔽2)11yescharacteristic
964C22×C11C2×2−1+411yescharacteristic
965C2×D11—22no—
966C2×D11—22no—
967C2×D11—22no—
968C2×D11—41no—
969C2×D11—41no—
970C2×D11—41no—
971C2×D11—41no—
972C2×D11—416no—
973C2×D11—41no—
974C2×D11—41no—
975C2×D11—41no—
976C2×D11—41no—
977C2×D11—41no—
978C2×D11—41no—
979C2×D11—41no—
980C2×D11—88no—
981C2×D11#52514yes—
982C2×D11#52914yes—
983C2×D11#54214yes—
984C2×D11#54614yes—
985C2×D11#54714yes—
986C2×D11#55514yes—
987C2×D11#55614yes—
988C4×C11—22no—
989C4×C11—22no—
990C4×C11—22no—
991C4×C11—22no—
992C4×C11—22no—
993C4×C11—22no—
994C4×C11—41no—
995C4×C11—41no—
996C4×C11—41no—
997C4×C11—41no—
998C4×C11—41no—
999C4×C11—41no—
1000C4×C11—41no—
1001Dic11—22no—
1002Dic11—22no—
1003Dic11—22no—
1004Dic11—22no—
1005Dic11—22no—
1006Dic11—22no—
1007Dic11—41no—
1008Dic11—41no—
1009Dic11—41no—
1010Dic11—41no—
1011Dic11—41no—
1012Dic11—41no—
1013Dic11—41no—
1014C25—111no—
1015C25—111no—
1016C22×Q8—111no—
1017C22×Q8—111no—
1018C22×Q8—111no—
1019C22×Q8—224no—
1020C22×Q8—224no—
1021C22×Q8—442no—
1022C22×Q8C22×D1111yescharacteristic
1023C22×D4—111no—
1024C22×D4—111no—
1025C22×D4—111no—
1026C22×D4—224no—
1027C22×D4—224no—
1028C22×D4—442no—
1029C22×D4C22×D1111yescharacteristic
1030C23×C4—111no—
1031C23×C4—111no—
1032C23×C4—111no—
1033C23×C4—111no—
1034C23×C4—111no—
1035C23×C4—111no—
1036C23×C4—111no—
1037C23×C4—111no—
1038C23×C4—111no—
1039C23×C4—111no—
1040C23×C4—111no—
1041C23×C4—111no—
1042C23×C4—111no—
1043C23×C4—111no—
1044C23×C4—111no—
1045C23×C4—111no—
1046C23×C4—224no—
1047C23×C4—224no—
1048C23×C4—224no—
1049C23×C4C22×D1111yescharacteristic
1050#124—24no—
1051#124—224no—
1052#124—224no—
1053#124—224no—
1054#124—224no—
1055#124—224no—
1056#124—224no—
1057#124—224no—
1058#117—24no—
1059#117—224no—
1060#117—224no—
1061#117—224no—
1062#117—224no—
1063#117—224no—
1064#117—224no—
1065#117—224no—
1066C2×C4⋊C4—111no—
1067C2×C4⋊C4—111no—
1068C2×C4⋊C4—111no—
1069C2×C4⋊C4—111no—
1070C2×C4⋊C4—111no—
1071C2×C4⋊C4—111no—
1072C2×C4⋊C4—111no—
1073C2×C4⋊C4—111no—
1074C2×C4⋊C4—111no—
1075C2×C4⋊C4—111no—
1076C2×C4⋊C4—111no—
1077C2×C4⋊C4—111no—
1078C2×C4⋊C4—111no—
1079C2×C4⋊C4—111no—
1080C2×C4⋊C4—111no—
1081C2×C4⋊C4—111no—
1082C2×C4⋊C4—111no—
1083C2×C4⋊C4—111no—
1084C2×C4⋊C4—111no—
1085C2×C4⋊C4—111no—
1086C2×C4⋊C4—111no—
1087C2×C4⋊C4—224no—
1088C2×C4⋊C4—224no—
1089C2×C4⋊C4—224no—
1090C2×C4⋊C4—224no—
1091C2×C4⋊C4—224no—
1092C2×C4⋊C4—442no—
1093C2×C4⋊C4—442no—
1094C2×C4⋊C4C22×D1111yescharacteristic
1095C2×C4⋊C4C22×D1111yescharacteristic
1096C2×C4⋊C4C22×D1111yescharacteristic
1097C2×C4⋊C4C22×D1111yescharacteristic
1098C2×C4⋊C4C22×D1111yescharacteristic
1099C2×C4⋊C4C22×D1111yescharacteristic
1100C2×C4⋊C4C22×D1111yescharacteristic
1101C2×C22⋊C4—111no—
1102C2×C22⋊C4—111no—
1103C2×C22⋊C4—111no—
1104C2×C22⋊C4—118no—
1105C2×C22⋊C4—111no—
1106C2×C22⋊C4—111no—
1107C2×C22⋊C4—111no—
1108C2×C22⋊C4—111no—
1109C2×C22⋊C4—111no—
1110C2×C22⋊C4—111no—
1111C2×C22⋊C4—111no—
1112C2×C22⋊C4—111no—
1113C2×C22⋊C4—111no—
1114C2×C22⋊C4—111no—
1115C2×C22⋊C4—111no—
1116C2×C22⋊C4—111no—
1117C2×C22⋊C4—111no—
1118C2×C22⋊C4—111no—
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—224no—
1136C2×C22⋊C4—224no—
1137C2×C22⋊C4—224no—
1138C2×C22⋊C4—224no—
1139C2×C22⋊C4—224no—
1140C2×C22⋊C4—224no—
1141C2×C22⋊C4—224no—
1142C2×C22⋊C4—224no—
1143C2×C22⋊C4—442no—
1144C2×C22⋊C4—442no—
1145C2×C22⋊C4C22×D1111yescharacteristic
1146C2×C22⋊C4C22×D1111yescharacteristic
1147C2×C22⋊C4C22×D1111yescharacteristic
1148C2×C22⋊C4C22×D1111yescharacteristic
1149C2×C22⋊C4C22×D1111yescharacteristic
1150C2×C22⋊C4C22×D1111yescharacteristic
1151C2×C22⋊C4C22×D1111yescharacteristic
1152C2×C22⋊C4C22×D1111yescharacteristic
1153C2×C22⋊C4C22×D1111yescharacteristic
1154C2×C22⋊C4C22×D1111yescharacteristic
1155C2×C22⋊C4C22×D1111yescharacteristic
1156C2×C42—111no—
1157C2×C42—111no—
1158C2×C42—111no—
1159C2×C42—111no—
1160C2×C42—111no—
1161C2×C42—111no—
1162C2×C42—111no—
1163C2×C42—111no—
1164C2×C42—111no—
1165C2×C42—111no—
1166C2×C42—111no—
1167C2×C42—111no—
1168C2×C42—224no—
1169C2×C42—224no—
1170C2×C42—224no—
1171C2×C42—224no—
1172C2×C42C22×D1111yescharacteristic
1173C2×C42C22×D1111yescharacteristic
1174C2×C42C22×D1111yescharacteristic
1175C2×C42C22×D1111yescharacteristic
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#95C22×D1111yescharacteristic
1207#95C22×D1111yescharacteristic
1208#95C22×D1111yescharacteristic
1209#95C22×D1111yescharacteristic
1210#95C22×D1111yescharacteristic
1211#95C22×D1111yescharacteristic
1212#95C22×D1111yescharacteristic
1213#95C22×D1111yescharacteristic
1214#95C22×D1111yescharacteristic
1215#95C22×D1111yescharacteristic
1216C2×C11—42no—
1217C2×C11—81no—
1218C2×C11C2×#52511yescharacteristic
1219C2×C11C2×#52911yescharacteristic
1220C2×C11C2×#54211yescharacteristic
1221C2×C11C2×#54611yescharacteristic
1222C2×C11C2×#54711yescharacteristic
1223C2×C11C2×#55511yescharacteristic
1224C2×C11C2×#55611yescharacteristic
1225D11—42no—
1226D11—81no—
1227D11#247418yesdirect product factor
1228C24—111no—
1229C24—114no—
1230C24—111no—
1231C24—111no—
1232C24—222no—
1233C24—222no—
1234C24—222no—
1235C24—222no—
1236C24—222no—
1237C24—222no—
1238C24—222no—
1239C24—222no—
1240C24—222no—
1241C24—222no—
1242C24—222no—
1243C24—222no—
1244C24—222no—
1245C24C23×D1111yescharacteristic
1246C24C23×D1111yescharacteristic
1247C2×Q8—22no—
1248C2×Q8—22no—
1249C2×Q8—41no—
1250C2×Q8—222no—
1251C2×Q8—222no—
1252C2×Q8—222no—
1253C2×Q8—222no—
1254C2×Q8—222no—
1255C2×Q8—222no—
1256C2×Q8—441no—
1257C2×Q8—441no—
1258C2×Q8—441no—
1259C2×Q8—4416no—
1260C2×D4—22no—
1261C2×D4—22no—
1262C2×D4—41no—
1263C2×D4—222no—
1264C2×D4—222no—
1265C2×D4—222no—
1266C2×D4—222no—
1267C2×D4—222no—
1268C2×D4—222no—
1269C2×D4—441no—
1270C2×D4—4416no—
1271C2×D4—441no—
1272C2×D4—441no—
1273C22×C4—22no—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—111no—
1277C22×C4—111no—
1278C22×C4—111no—
1279C22×C4—111no—
1280C22×C4—111no—
1281C22×C4—111no—
1282C22×C4—114no—
1283C22×C4—114no—
1284C22×C4—114no—
1285C22×C4—114no—
1286C22×C4—114no—
1287C22×C4—114no—
1288C22×C4—111no—
1289C22×C4—111no—
1290C22×C4—111no—
1291C22×C4—111no—
1292C22×C4—111no—
1293C22×C4—111no—
1294C22×C4—111no—
1295C22×C4—222no—
1296C22×C4—222no—
1297C22×C4—222no—
1298C22×C4—222no—
1299C22×C4—222no—
1300C22×C4—222no—
1301C22×C4—222no—
1302C22×C4—222no—
1303C22×C4—222no—
1304C22×C4—222no—
1305C22×C4—222no—
1306C22×C4—222no—
1307C22×C4—222no—
1308C22×C4—222no—
1309C22×C4—222no—
1310C22×C4—222no—
1311C22×C4—2232no—
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×C4C23×D1111yescharacteristic
1339C22×C4C23×D1111yescharacteristic
1340C22×C4C23×D1111yescharacteristic
1341C22×C4C23×D1111yescharacteristic
1342C22×C4C23×D1111yescharacteristic
1343C22×C4C23×D1111yescharacteristic
1344C22×C4C23×D1111yescharacteristic
1345C22×C4C23×D1111yescharacteristic
1346C22×C4C23×D1111yescharacteristic
1347C22×C4C23×D1111yescharacteristic
1348C22×C4C23×D1111yescharacteristic
1349C22×C4C23×D1111yescharacteristic
1350C22×C4C23×D1111yescharacteristic
1351C4⋊C4—22no—
1352C4⋊C4—22no—
1353C4⋊C4—22no—
1354C4⋊C4—22no—
1355C4⋊C4—22no—
1356C4⋊C4—41no—
1357C4⋊C4—41no—
1358C4⋊C4—222no—
1359C4⋊C4—222no—
1360C4⋊C4—222no—
1361C4⋊C4—222no—
1362C4⋊C4—222no—
1363C4⋊C4—222no—
1364C4⋊C4—222no—
1365C4⋊C4—222no—
1366C4⋊C4—222no—
1367C4⋊C4—222no—
1368C4⋊C4—222no—
1369C4⋊C4—222no—
1370C4⋊C4—222no—
1371C4⋊C4—222no—
1372C4⋊C4—222no—
1373C4⋊C4—441no—
1374C4⋊C4—441no—
1375C4⋊C4—441no—
1376C4⋊C4—441no—
1377C4⋊C4—441no—
1378C4⋊C4—441no—
1379C22⋊C4—22no—
1380C22⋊C4—22no—
1381C22⋊C4—22no—
1382C22⋊C4—22no—
1383C22⋊C4—22no—
1384C22⋊C4—22no—
1385C22⋊C4—22no—
1386C22⋊C4—22no—
1387C22⋊C4—41no—
1388C22⋊C4—41no—
1389C22⋊C4—114no—
1390C22⋊C4—114no—
1391C22⋊C4—114no—
1392C22⋊C4—222no—
1393C22⋊C4—222no—
1394C22⋊C4—222no—
1395C22⋊C4—222no—
1396C22⋊C4—222no—
1397C22⋊C4—222no—
1398C22⋊C4—222no—
1399C22⋊C4—222no—
1400C22⋊C4—222no—
1401C22⋊C4—222no—
1402C22⋊C4—222no—
1403C22⋊C4—222no—
1404C22⋊C4—222no—
1405C22⋊C4—222no—
1406C22⋊C4—222no—
1407C22⋊C4—222no—
1408C22⋊C4—222no—
1409C22⋊C4—222no—
1410C22⋊C4—222no—
1411C22⋊C4—222no—
1412C22⋊C4—222no—
1413C22⋊C4—222no—
1414C22⋊C4—222no—
1415C22⋊C4—222no—
1416C22⋊C4—441no—
1417C22⋊C4—441no—
1418C22⋊C4—441no—
1419C22⋊C4—441no—
1420C22⋊C4—441no—
1421C22⋊C4—441no—
1422C22⋊C4D4×D1114yes—
1423C42—22no—
1424C42—22no—
1425C42—22no—
1426C42—22no—
1427C42—222no—
1428C42—222no—
1429C42—222no—
1430C42—222no—
1431C42—222no—
1432C42—222no—
1433C42—222no—
1434C42—222no—
1435C42—222no—
1436C42—222no—
1437C42—222no—
1438C42—222no—
1439C11C2×#247411yescharacteristic, complemented, Sylow
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—112no—
1454C23—112no—
1455C23—112no—
1456C23—112no—
1457C23—112no—
1458C23—112no—
1459C23—112no—
1460C23—112no—
1461C23—228no—
1462C23—228no—
1463C23—228no—
1464C23—221no—
1465C23—221no—
1466C23—221no—
1467C23—221no—
1468C23—221no—
1469C23—221no—
1470C23—221no—
1471C23—221no—
1472C23—221no—
1473C23—221no—
1474C23—221no—
1475C23—221no—
1476C23—221no—
1477C23—444no—
1478C23—444no—
1479C23—444no—
1480C23—444no—
1481C23—444no—
1482C23—444no—
1483C23—444no—
1484C23—444no—
1485C23—444no—
1486C23—444no—
1487C23—444no—
1488C23C2×D4×D1112yes—
1489C23C24×D1111yescharacteristic
1490Q8—44no—
1491Q8—444no—
1492Q8—444no—
1493Q8—444no—
1494D4—44no—
1495D4—444no—
1496D4—444no—
1497D4—444no—
1498C2×C4—28no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
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—112no—
1533C2×C4—112no—
1534C2×C4—112no—
1535C2×C4—112no—
1536C2×C4—112no—
1537C2×C4—112no—
1538C2×C4—228no—
1539C2×C4—228no—
1540C2×C4—228no—
1541C2×C4—228no—
1542C2×C4—228no—
1543C2×C4—228no—
1544C2×C4—228no—
1545C2×C4—228no—
1546C2×C4—228no—
1547C2×C4—221no—
1548C2×C4—221no—
1549C2×C4—221no—
1550C2×C4—221no—
1551C2×C4—221no—
1552C2×C4—221no—
1553C2×C4—221no—
1554C2×C4—221no—
1555C2×C4—221no—
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—444no—
1581C2×C4—444no—
1582C2×C4—444no—
1583C2×C4—444no—
1584C2×C4—444no—
1585C2×C4—444no—
1586C2×C4—444no—
1587C2×C4C2×D4×D1112yes—
1588C2×C4C2×D4×D1112yes—
1589C2×C4#41×D1112yes—
1590C2×C4#41×D1112yes—
1591C2×C4#41×D1112yes—
1592C2×C4#41×D1112yes—
1593C22—22no—
1594C22—22no—
1595C22—22no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—114no—
1608C22—114no—
1609C22—114no—
1610C22—114no—
1611C22—114no—
1612C22—114no—
1613C22—114no—
1614C22—222no—
1615C22—222no—
1616C22—222no—
1617C22—4416no—
1618C22—441no—
1619C22—441no—
1620C22—441no—
1621C22—441no—
1622C22—441no—
1623C22—441no—
1624C22—441no—
1625C22—441no—
1626C22—441no—
1627C22—441no—
1628C22—441no—
1629C22—888no—
1630C22C22×D4×D1111yescharacteristic
1631C22C2×#41×D1111yescharacteristic
1632C22C2×#41×D1111yescharacteristic
1633C22C2×#41×D1111yescharacteristic
1634C22C2×#41×D1111yescharacteristic
1635C22D11×H(5,𝔽2)11yescharacteristic
1636C22D11×2−1+411yescharacteristic
1637C4—22no—
1638C4—22no—
1639C4—22no—
1640C4—22no—
1641C4—22no—
1642C4—22no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—222no—
1651C4—222no—
1652C4—222no—
1653C4—222no—
1654C4—222no—
1655C4—222no—
1656C4—441no—
1657C4—441no—
1658C4—441no—
1659C4—441no—
1660C4—441no—
1661C4—441no—
1662C4—441no—
1663C2—42no—
1664C2—81no—
1665C2—118no—
1666C2—442no—
1667C2—881no—
1668C2D11×#52511yescharacteristic
1669C2D11×#52911yescharacteristic
1670C2D11×#54211yescharacteristic
1671C2D11×#54611yescharacteristic
1672C2D11×#54711yescharacteristic
1673C2D11×#55511yescharacteristic
1674C2D11×#55611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2474C2
prime radicalC22×D4×D11C22
hypercenter#2474D11
hypocenterC11C2×#2474
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2474

Complements

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

NH ≅ G/Ntype
2. C2×D11×#117C2semidirect
3. #13072779C2semidirect
4. #13072778C2semidirect
5. #13072777C2semidirect
6. #13072776C2semidirect
7. #13072775C2semidirect
8. #13072774C2semidirect
9. #13072773C2semidirect
10. #13072772C2semidirect
11. #13072771C2semidirect
12. #13072770C2semidirect
13. #13072769C2semidirect
14. #13072768C2semidirect
15. #13072767C2semidirect
16. #13072766C2semidirect
17. #13072765C2semidirect
18. D11×#397C2semidirect
19. D11×#396C2semidirect
20. D11×#395C2semidirect
22. D11×#391C2semidirect
23. D11×#388C2semidirect
24. D11×#388C2semidirect
25. D11×#388C2semidirect
26. D11×#388C2semidirect
27. D11×#387C2semidirect
29. D11×#385C2semidirect
30. C4×C4⋊C4×D11C2semidirect
31. C11×#2474C2semidirect
36. C2×C11×#117C22semidirect
39. C2×#66979C22semidirect
42. C2×#66945C22semidirect
43. C2×#66945C22semidirect
66. C2×#66930C22semidirect
67. C2×#66930C22semidirect
69. C2×#66925C22semidirect
70. C2×#66925C22semidirect
75. C11×#397C22semidirect
76. C11×#396C22semidirect
77. C11×#395C22semidirect
79. C11×#391C22semidirect
80. C11×#388C22semidirect
81. C11×#388C22semidirect
82. C11×#388C22semidirect
83. C11×#388C22semidirect
84. C11×#387C22semidirect
86. C11×#385C22semidirect
87. C4×C11×C4⋊C4C22semidirect
88. #10622843C22semidirect
89. #10622842C22semidirect
93. #10622823C22semidirect
94. #10622607C22semidirect
95. #10622607C22semidirect
96. #10622607C22semidirect
97. #10622606C22semidirect
99. #10622603C22semidirect
100. #10622603C22semidirect
101. #10622603C22semidirect
102. #10622603C22semidirect
103. #10622602C22semidirect
104. #10622602C22semidirect
105. #10622594C22semidirect
106. #10622592C22semidirect
107. #10622592C22semidirect
108. #10622592C22semidirect
109. #10622591C22semidirect
110. C4⋊C4×Dic11C22semidirect
111. C4⋊C4×Dic11C22semidirect
112. #10622587C22semidirect
120. #10622566C22semidirect
121. #10622565C22semidirect
122. #10622565C22semidirect
123. #10622564C22semidirect
124. #10622564C22semidirect
125. #10622564C22semidirect
126. #10622564C22semidirect
127. #10622563C22semidirect
128. #10622561C22semidirect
129. #10622561C22semidirect
130. #10622561C22semidirect
131. #10622559C22semidirect
132. #10622558C22semidirect
133. #10622558C22semidirect
134. #10622558C22semidirect
135. #10622558C22semidirect
136. #10622557C22semidirect
137. #10622557C22semidirect
138. #10622557C22semidirect
139. #10622557C22semidirect
140. #10622553C22semidirect
141. #10622553C22semidirect
142. #10622553C22semidirect
143. #10622553C22semidirect
144. C4×C4⋊Dic11C22semidirect
145. #10622546C22semidirect
146. C4×Dic11⋊C4C22semidirect
147. C4×Dic11⋊C4C22semidirect
148. #10622542C22semidirect
149. #10622289C22semidirect
150. #10622288C22semidirect
151. #10622288C22semidirect
152. #10622287C22semidirect
154. #10622283C22semidirect
155. #10622283C22semidirect
156. #10622283C22semidirect
157. #10622283C22semidirect
158. #10622282C22semidirect
159. #10622282C22semidirect
160. #10622282C22semidirect
161. #10622282C22semidirect
162. #10622281C22semidirect
163. #10622281C22semidirect
176. #10622269C22semidirect
177. #10622269C22semidirect
178. #10622269C22semidirect
179. #10622268C22semidirect
180. #10622267C22semidirect
181. #10622266C22semidirect
182. #10622265C22semidirect
183. #10622262C22semidirect
184. #10622262C22semidirect
185. #10622259C22semidirect
186. #10622259C22semidirect
187. #10622259C22semidirect
188. #10622259C22semidirect
620. #2474D11direct (N × H)
807. C2×#117C2×D11semidirect
837. #397C2×D11semidirect
845. #396C2×D11semidirect
853. #395C2×D11semidirect
869. #391C2×D11semidirect
898. #388C2×D11semidirect
899. #388C2×D11semidirect
900. #388C2×D11semidirect
901. #388C2×D11semidirect
909. #387C2×D11semidirect
925. #385C2×D11semidirect
933. C4×C4⋊C4C2×D11semidirect
1227. D11#2474direct (N × H)
1439. C11C2×#2474semidirect

Maximal subgroups

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

subgroupindex
C2×D11×#1242
C2×D11×#1172
#130727792
#130727782
#130727772
#130727762
#130727752
#130727742
#130727732
#130727722
#130727712
#130727702
#130727692
#130727682
#130727672
#130727662
#130727652
D11×#3972
D11×#3962
D11×#3952
D11×#3942
D11×#3912
D11×#3882
D11×#3872
D11×#3862
D11×#3852
C4×C4⋊C4×D112
C11×#24742
C2×#247411