Finite Group Databasebeta

← D11×#2477 #14922201

Subgroups — D11×#2477 #14922201

Order 2816.

3070 conjugacy classes of subgroups.

The subgroup lattice has 1686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D11×C22⋊Q8C211yesmaximal, characteristic, complemented
2C2×D11×#117C211yesmaximal, characteristic, complemented
3#13072824C211yesmaximal, characteristic, complemented
4#13072823C211yesmaximal, characteristic, complemented
5#13072822C211yesmaximal, characteristic, complemented
6#13072821C211yesmaximal, characteristic, complemented
7#13072820C211yesmaximal, characteristic, complemented
8#13072819C211yesmaximal, characteristic, complemented
9#13072818C211yesmaximal, characteristic, complemented
10#13072817C211yesmaximal, characteristic, complemented
11#13072816C211yesmaximal, characteristic, complemented
12#13072815C211yesmaximal, characteristic, complemented
13#13072814C211yesmaximal, characteristic, complemented
14#13072813C211yesmaximal, characteristic, complemented
15#13072812C211yesmaximal, characteristic, complemented
16#13072811C211yesmaximal, characteristic, complemented
17#13072810C211yesmaximal, characteristic, complemented
18D11×#400C211yesmaximal, characteristic, complemented
19D11×#397C211yesmaximal, characteristic, complemented
20D11×#394C211yesmaximal, characteristic
21D11×#393C211yesmaximal, characteristic, complemented
22D11×#391C211yesmaximal, characteristic, complemented
23D11×#388C211yesmaximal, characteristic, complemented
24D11×#388C211yesmaximal, characteristic, complemented
25D11×#387C211yesmaximal, characteristic, complemented
26D11×#387C211yesmaximal, characteristic, complemented
27D11×#386C211yesmaximal, characteristic
28D11×#386C211yesmaximal, characteristic
29D11×#385C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D11C211yesmaximal, characteristic, complemented
31C11×#2477C211yesmaximal, characteristic, complemented
32C22×Q8×D11C2211yescharacteristic
33C22×D4×D11C2211yescharacteristic
34C23×C4×D11C2211yescharacteristic
35C23×C4×D11C2211yescharacteristic
36C2×C11×C22⋊Q8C2211yescharacteristic, complemented
37C2×C11×#117C2211yescharacteristic, complemented
38C2×#66999C2211yescharacteristic, complemented
39C2×#66979C2211yescharacteristic, complemented
40C2×#66977C2211yescharacteristic, complemented
41D11×C22⋊Q8—28no—
42D11×#117—28no—
43C2×#66950C2211yescharacteristic, complemented
44C2×#66949C2211yescharacteristic, complemented
45C2×#66949C2211yescharacteristic, complemented
46C2×#66945C2211yescharacteristic, complemented
47C2×#66945C2211yescharacteristic, complemented
48C2×C4⋊C4×D11C2211yescharacteristic
49C2×C4⋊C4×D11C2211yescharacteristic
50C2×C4⋊C4×D11C2211yescharacteristic
51C2×C4⋊C4×D11C2211yescharacteristic
52C2×C4⋊C4×D11C2211yescharacteristic
53C2×C4⋊C4×D11C2211yescharacteristic
54C2×C22⋊C4×D11C2211yescharacteristic
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×#66931C2211yescharacteristic, complemented
65C2×#66931C2211yescharacteristic, complemented
66C2×#66930C2211yescharacteristic, complemented
67C2×#66930C2211yescharacteristic, complemented
68C2×#66925C2211yescharacteristic, complemented
69C2×#66925C2211yescharacteristic, complemented
70C2×C42×D11C2211yescharacteristic
71C2×C42×D11C2211yescharacteristic
72C2×C42×D11C2211yescharacteristic
73C11×#400C2211yescharacteristic, complemented
74C11×#397C2211yescharacteristic, complemented
75C11×#394C2211yescharacteristic
76C11×#393C2211yescharacteristic, complemented
77C11×#391C2211yescharacteristic, complemented
78C11×#388C2211yescharacteristic, complemented
79C11×#388C2211yescharacteristic, complemented
80C11×#387C2211yescharacteristic, complemented
81C11×#387C2211yescharacteristic, complemented
82C11×#386C2211yescharacteristic
83C11×#386C2211yescharacteristic
84C11×#385C2211yescharacteristic, complemented
85C4×C11×C22⋊C4C2211yescharacteristic, complemented
86#10622844C2211yescharacteristic, complemented
87#10622843C2211yescharacteristic, complemented
88#10622835C2211yescharacteristic
89#10622833C2211yescharacteristic
90#10622833C2211yescharacteristic
91#10622826C2211yescharacteristic
92#10622826C2211yescharacteristic
93#10622823C2211yescharacteristic, complemented
94C4×C22⋊Dic11C2211yescharacteristic, complemented
95#10622606C2211yescharacteristic, complemented
96#10622604C2211yescharacteristic
97#10622603C2211yescharacteristic, complemented
98#10622603C2211yescharacteristic, complemented
99#10622602C2211yescharacteristic, complemented
100#10622602C2211yescharacteristic, complemented
101#10622599C2211yescharacteristic, complemented
102#10622595C2211yescharacteristic, complemented
103#10622594C2211yescharacteristic, complemented
104#10622594C2211yescharacteristic, complemented
105#10622591C2211yescharacteristic, complemented
106#10622591C2211yescharacteristic, complemented
107#10622587C2211yescharacteristic, complemented
108#10622574C2211yescharacteristic
109#10622574C2211yescharacteristic
110#10622572C2211yescharacteristic
111#10622572C2211yescharacteristic
112#10622571C2211yescharacteristic
113#10622571C2211yescharacteristic
114#10622569C2211yescharacteristic
115#10622569C2211yescharacteristic
116#10622569C2211yescharacteristic
117#10622569C2211yescharacteristic
118#10622566C2211yescharacteristic, complemented
119#10622565C2211yescharacteristic, complemented
120#10622565C2211yescharacteristic, complemented
121#10622564C2211yescharacteristic, complemented
122#10622564C2211yescharacteristic, complemented
123#10622563C2211yescharacteristic, complemented
124#10622560C2211yescharacteristic, complemented
125#10622560C2211yescharacteristic, complemented
126#10622560C2211yescharacteristic, complemented
127#10622559C2211yescharacteristic, complemented
128#10622558C2211yescharacteristic, complemented
129#10622558C2211yescharacteristic, complemented
130#10622557C2211yescharacteristic, complemented
131#10622557C2211yescharacteristic, complemented
132C22⋊C4×Dic11C2211yescharacteristic, complemented
133C22⋊C4×Dic11C2211yescharacteristic, complemented
134#10622553C2211yescharacteristic, complemented
135#10622553C2211yescharacteristic, complemented
136C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
137C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
138#10622546C2211yescharacteristic, complemented
139#10622546C2211yescharacteristic, complemented
140#10622542C2211yescharacteristic, complemented
141#10622288C2211yescharacteristic, complemented
142#10622288C2211yescharacteristic, complemented
143#10622287C2211yescharacteristic, complemented
144#10622286C2211yescharacteristic, complemented
145#10622286C2211yescharacteristic, complemented
146#10622286C2211yescharacteristic, complemented
147#10622285C2211yescharacteristic
148#10622283C2211yescharacteristic, complemented
149#10622283C2211yescharacteristic, complemented
150#10622282C2211yescharacteristic, complemented
151#10622282C2211yescharacteristic, complemented
152#10622281C2211yescharacteristic, complemented
153#10622281C2211yescharacteristic, complemented
154#10622279C2211yescharacteristic, complemented
155#10622279C2211yescharacteristic, complemented
156#10622278C2211yescharacteristic
157#10622278C2211yescharacteristic
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#10622273C2211yescharacteristic, complemented
173#10622273C2211yescharacteristic, complemented
174#10622272C2211yescharacteristic, complemented
175#10622271C2211yescharacteristic, complemented
176#10622271C2211yescharacteristic, complemented
177#10622268C2211yescharacteristic, complemented
178#10622268C2211yescharacteristic, complemented
179#10622267C2211yescharacteristic, complemented
180#10622267C2211yescharacteristic, complemented
181#10622266C2211yescharacteristic, complemented
182#10622266C2211yescharacteristic, complemented
183#10622265C2211yescharacteristic, complemented
184#10622265C2211yescharacteristic, 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
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C23×Dic11C2311yescharacteristic
198C23×Dic11C2311yescharacteristic
199C2×Q8×D11—24no—
200C2×Q8×D11—24no—
201C2×Q8×D11—42no—
202C2×D4×D11—24no—
203C2×D4×D11—24no—
204C2×D4×D11—42no—
205C22×D44C2311yescharacteristic
206C22×C4×D11—24no—
207C22×C4×D11—24no—
208C22×C4×D11—24no—
209C22×C4×D11—24no—
210C22×C4×D11—24no—
211C22×C4×D11—42no—
212C22×C4×D11C2311yescharacteristic
213C22×C4×D11C2311yescharacteristic
214C22×C4×D11C2311yescharacteristic
215C22×C4×D11C2311yescharacteristic
216C22×C4×D11C2311yescharacteristic
217C22×C4×D11C2311yescharacteristic
218C22×C4×D11C2311yescharacteristic
219C22×C4×D11C2311yescharacteristic
220C22×C4×D11C2311yescharacteristic
221C22×C4×D11C2311yescharacteristic
222C22×C4×D11C2311yescharacteristic
223C22×C4×D11C2311yescharacteristic
224C22×C4×D11C2311yescharacteristic
225C22×C4×D11C2311yescharacteristic
226C22×C4×D11C2311yescharacteristic
227C22×C4×D11C2311yescharacteristic
228C22×C4×D11C2311yescharacteristic
229C22×Dic22C2311yescharacteristic
230C22×Dic22C2311yescharacteristic
231C22×Dic22C2311yescharacteristic
232C11×C22⋊Q8—24no—
233C11×#117—24no—
234C2×C11×C4⋊C4C2311yescharacteristic
235C2×C11×C4⋊C4C2311yescharacteristic
236C2×C11×C4⋊C4C2311yescharacteristic
237C2×C11×C4⋊C4C2311yescharacteristic
238C2×C11×C4⋊C4C2311yescharacteristic
239C2×C11×C4⋊C4C2311yescharacteristic
240C2×C11×C22⋊C4C2311yescharacteristic
241C2×C11×C22⋊C4C2311yescharacteristic
242C2×C11×C22⋊C4C2311yescharacteristic
243C2×C11×C22⋊C4C2311yescharacteristic
244C2×C11×C22⋊C4C2311yescharacteristic
245C2×C11×C22⋊C4C2311yescharacteristic
246C2×C11×C22⋊C4C2311yescharacteristic
247C2×C11×C22⋊C4C2311yescharacteristic
248C2×C11×C22⋊C4C2311yescharacteristic
249C2×C11×C22⋊C4C2311yescharacteristic
250C2×C42×C11C2311yescharacteristic
251C2×C42×C11C2311yescharacteristic
252C2×C42×C11C2311yescharacteristic
253C2×C22⋊Dic11C2311yescharacteristic
254C2×C22⋊Dic11C2311yescharacteristic
255C2×C22⋊Dic11C2311yescharacteristic
256C2×C22⋊Dic11C2311yescharacteristic
257C2×C22⋊Dic11C2311yescharacteristic
258C2×C22⋊Dic11C2311yescharacteristic
259C2×C22⋊Dic11C2311yescharacteristic
260C2×C22⋊Dic11C2311yescharacteristic
261C2×C22⋊Dic11C2311yescharacteristic
262C2×C22⋊Dic11C2311yescharacteristic
263#66999—24no—
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
291#66977—24no—
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×C4×Dic11C2311yescharacteristic
305C2×C4×Dic11C2311yescharacteristic
306C2×C4×Dic11C2311yescharacteristic
307C2×C4×Dic11C2311yescharacteristic
308C2×C4×Dic11C2311yescharacteristic
309C2×C4×Dic11C2311yescharacteristic
310C2×C4×Dic11C2311yescharacteristic
311C2×C4×Dic11C2311yescharacteristic
312C2×C4×Dic11C2311yescharacteristic
313#66950—24no—
314#66949—24no—
315#66949—24no—
316#66945—24no—
317#66945—24no—
318C4⋊C4×D11—24no—
319C4⋊C4×D11—24no—
320C4⋊C4×D11—24no—
321C4⋊C4×D11—24no—
322C4⋊C4×D11—42no—
323C4⋊C4×D11D418yescomplemented
324C22⋊C4×D11—24no—
325C22⋊C4×D11—24no—
326C22⋊C4×D11—24no—
327C22⋊C4×D11—24no—
328C22⋊C4×D11—24no—
329C22⋊C4×D11—24no—
330C22⋊C4×D11—24no—
331C22⋊C4×D11—24no—
332C22⋊C4×D11—24no—
333C22⋊C4×D11—42no—
334#66931—24no—
335#66931—24no—
336#66930—24no—
337#66930—24no—
338#66925—24no—
339#66925—24no—
340C42×D11—24no—
341C42×D11—24no—
342C42×D11—42no—
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×#2477—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#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—41no—
417C22×C4×C11—22no—
418C22×C4×C11—22no—
419C22×C4×C11—22no—
420C22×C4×C11—22no—
421C22×C4×C11—22no—
422C22×C4×C11—41no—
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
433C22×C4×C11C2411yescharacteristic
434C22×C4×C11C2411yescharacteristic
435C22×C4×C11C2411yescharacteristic
436C2×C22⋊D11—22no—
437C2×C22⋊D11—22no—
438C2×C22⋊D11—22no—
439C2×C22⋊D11—22no—
440C2×C22⋊D11—41no—
441C2×C22⋊D11—41no—
442C22×Dic11—22no—
443C22×Dic11—22no—
444C22×Dic11—22no—
445C22×Dic11—22no—
446C22×Dic11—22no—
447C22×Dic11—41no—
448C22×Dic11C2411yescharacteristic
449C22×Dic11C2411yescharacteristic
450C22×Dic11C2411yescharacteristic
451C22×Dic11C2411yescharacteristic
452C22×Dic11C2411yescharacteristic
453C22×Dic11C2411yescharacteristic
454C22×Dic11C2411yescharacteristic
455C22×Dic11C2411yescharacteristic
456C22×Dic11C2411yescharacteristic
457C22×Dic11C2411yescharacteristic
458C22×Dic11C2411yescharacteristic
459C22×Dic11C2411yescharacteristic
460C22×Dic11C2411yescharacteristic
461Q8×D11—416no—
462D4×D11—416no—
463C2×D44—22no—
464C2×D44—22no—
465C2×D44—41no—
466C2×C4×D11—232no—
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×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—41no—
512C2×C4×D11—41no—
513C2×C4×D11—416no—
514C2×C4×D11C2×D414yes—
515C2×C4×D11C2×D414yes—
516C2×C4×D11C2×D414yes—
517C2×C4×D11#4114yes—
518C2×C4×D11#4114yes—
519C2×Dic22—22no—
520C2×Dic22—22no—
521C2×Dic22—22no—
522C2×Dic22—22no—
523C2×Dic22—22no—
524C2×Dic22—22no—
525C2×Dic22—41no—
526C2×Dic22—41no—
527C2×Dic22—41no—
528C11×C4⋊C4—22no—
529C11×C4⋊C4—22no—
530C11×C4⋊C4—22no—
531C11×C4⋊C4—22no—
532C11×C4⋊C4—41no—
533C11×C4⋊C4C2×D414yescomplemented
534C11×C22⋊C4—22no—
535C11×C22⋊C4—22no—
536C11×C22⋊C4—22no—
537C11×C22⋊C4—22no—
538C11×C22⋊C4—22no—
539C11×C22⋊C4—22no—
540C11×C22⋊C4—22no—
541C11×C22⋊C4—22no—
542C11×C22⋊C4—22no—
543C11×C22⋊C4—41no—
544C42×C11—22no—
545C42×C11—22no—
546C42×C11—41no—
547C22⋊Dic11—22no—
548C22⋊Dic11—22no—
549C22⋊Dic11—22no—
550C22⋊Dic11—22no—
551C22⋊Dic11—22no—
552C22⋊Dic11—22no—
553C22⋊Dic11—22no—
554C22⋊Dic11—22no—
555C22⋊Dic11—22no—
556C22⋊Dic11—41no—
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—22no—
565(C2×D11)⋊C4—22no—
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—41no—
576(C2×D11)⋊C4—41no—
577C4⋊Dic11—22no—
578C4⋊Dic11—22no—
579C4⋊Dic11—22no—
580C4⋊Dic11—22no—
581C4⋊Dic11—41no—
582C4⋊Dic11C2×D414yescomplemented
583Dic11⋊C4—22no—
584Dic11⋊C4—22no—
585Dic11⋊C4—22no—
586Dic11⋊C4—22no—
587Dic11⋊C4—22no—
588Dic11⋊C4—22no—
589Dic11⋊C4—22no—
590Dic11⋊C4—22no—
591Dic11⋊C4—41no—
592Dic11⋊C4—41no—
593Dic11⋊C4C2×D414yescomplemented
594Dic11⋊C4C2×D414yescomplemented
595C4×Dic11—22no—
596C4×Dic11—22no—
597C4×Dic11—22no—
598C4×Dic11—22no—
599C4×Dic11—22no—
600C4×Dic11—22no—
601C4×Dic11—41no—
602C4×Dic11—41no—
603C4×Dic11—41no—
604C22×C22⋊Q8—111no—
605C22×#117—111no—
606#2477—111no—
607#2477—111no—
608#2477—111no—
609#2477—111no—
610#2477—111no—
611#2477—111no—
612#2477—111no—
613#2477—111no—
614#2477—111no—
615#2477—111no—
616#2477—111no—
617#2477—111no—
618#2477—111no—
619#2477—111no—
620#2477—111no—
621#2477D1111yescharacteristic, direct product factor
622C2×#400—111no—
623C2×#397—111no—
624C2×#394—111no—
625C2×#393—111no—
626C2×#391—111no—
627C2×#388—111no—
628C2×#388—111no—
629C2×#387—111no—
630C2×#387—111no—
631C2×#386—111no—
632C2×#386—111no—
633C2×#385—111no—
634C2×C4×C22⋊C4—111no—
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×C11C2×#4112yes—
648C23×C11C2×#4112yes—
649C23×C11C2511yescharacteristic
650C22×D11—21no—
651C22×D11—21no—
652C22×D11—21no—
653C22×D11—21no—
654C22×D11—21no—
655C22×D11—21no—
656C22×D11—21no—
657C22×D11—21no—
658C22×D11—21no—
659C22×D11—21no—
660C22×D11—21no—
661C22×D11—21no—
662C22×D11—28no—
663C22×D11—28no—
664C22×D11—28no—
665C22×D11—28no—
666C22×D11—28no—
667C22×D11—28no—
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×D11C2×#4112yes—
678C22×D11C2×#4112yes—
679C22×D11C2×#4112yes—
680C22×D11C2×#4112yes—
681C22×D11C2×#4112yes—
682C22×D11C2×#4112yes—
683C22×D11H(5,𝔽2)12yes—
684C22×D112−1+412yes—
685Q8×C11—44no—
686D4×C11—44no—
687C2×C4×C11—28no—
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—44no—
723C2×C4×C11C22×D412yes—
724C2×C4×C11C22×D412yes—
725C2×C4×C11C22×D412yes—
726C2×C4×C11C2×#4112yes—
727C2×C4×C11C2×#4112yes—
728C22⋊D11—44no—
729C22⋊D11—44no—
730C2×Dic11—28no—
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×Dic11—21no—
763C2×Dic11—21no—
764C2×Dic11—21no—
765C2×Dic11—44no—
766C2×Dic11C22×D412yes—
767C2×Dic11C22×D412yes—
768C2×Dic11C22×D412yes—
769C2×Dic11C2×#4112yes—
770C2×Dic11C2×#4112yes—
771D44—44no—
772C4×D11—28no—
773C4×D11—28no—
774C4×D11—28no—
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—
789Dic22—44no—
790Dic22—44no—
791Dic22—44no—
792C23×Q8—111no—
793C23×D4—111no—
794C24×C4—111no—
795C24×C4—111no—
796C2×C22⋊Q8—111no—
797C2×C22⋊Q8—111no—
798C2×C22⋊Q8—111no—
799C2×C22⋊Q8—111no—
800C2×C22⋊Q8—111no—
801C2×C22⋊Q8—111no—
802C2×C22⋊Q8—111no—
803C2×C22⋊Q8—228no—
804C2×C22⋊Q8C2×D1111yescharacteristic, complemented
805C2×#117—111no—
806C2×#117—111no—
807C2×#117—111no—
808C2×#117—111no—
809C2×#117—111no—
810C2×#117—111no—
811C2×#117—111no—
812C2×#117—228no—
813C2×#117C2×D1111yescharacteristic, complemented
814C22×C4⋊C4—111no—
815C22×C4⋊C4—111no—
816C22×C4⋊C4—111no—
817C22×C4⋊C4—111no—
818C22×C4⋊C4—111no—
819C22×C4⋊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×C22⋊C4—111no—
827C22×C22⋊C4—111no—
828C22×C22⋊C4—111no—
829C22×C22⋊C4—111no—
830C22×C42—111no—
831C22×C42—111no—
832C22×C42—111no—
833#400—111no—
834#400—111no—
835#400—111no—
836#400—111no—
837#400—111no—
838#400—111no—
839#400—111no—
840#400C2×D1111yescharacteristic, complemented
841#397—111no—
842#397—111no—
843#397—111no—
844#397—111no—
845#397—111no—
846#397—111no—
847#397—111no—
848#397C2×D1111yescharacteristic, complemented
849#394—111no—
850#394—111no—
851#394—111no—
852#394—111no—
853#394—111no—
854#394—111no—
855#394—111no—
856#394C2×D1111yescharacteristic
857#393—111no—
858#393—111no—
859#393—111no—
860#393—111no—
861#393—111no—
862#393—111no—
863#393—111no—
864#393C2×D1111yescharacteristic, complemented
865#391—111no—
866#391—111no—
867#391—111no—
868#391—111no—
869#391—111no—
870#391—111no—
871#391—111no—
872#391C2×D1111yescharacteristic, complemented
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#388C2×D1111yescharacteristic, complemented
888#388C2×D1111yescharacteristic, complemented
889#387—111no—
890#387—111no—
891#387—111no—
892#387—111no—
893#387—111no—
894#387—111no—
895#387—111no—
896#387—111no—
897#387—111no—
898#387—111no—
899#387—111no—
900#387—111no—
901#387—111no—
902#387—111no—
903#387C2×D1111yescharacteristic, complemented
904#387C2×D1111yescharacteristic, complemented
905#386—111no—
906#386—111no—
907#386—111no—
908#386—111no—
909#386—111no—
910#386—111no—
911#386—111no—
912#386—111no—
913#386—111no—
914#386—111no—
915#386—111no—
916#386—111no—
917#386—111no—
918#386—111no—
919#386C2×D1111yescharacteristic
920#386C2×D1111yescharacteristic
921#385—111no—
922#385—111no—
923#385—111no—
924#385—111no—
925#385—111no—
926#385—111no—
927#385—111no—
928#385C2×D1111yescharacteristic, complemented
929C4×C22⋊C4—111no—
930C4×C22⋊C4—111no—
931C4×C22⋊C4—111no—
932C4×C22⋊C4—111no—
933C4×C22⋊C4—111no—
934C4×C22⋊C4—111no—
935C4×C22⋊C4—111no—
936C4×C22⋊C4C2×D1111yescharacteristic, complemented
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—
949C22×C11—22no—
950C22×C11—22no—
951C22×C11—22no—
952C22×C11—22no—
953C22×C11—22no—
954C22×C11—22no—
955C22×C11—41no—
956C22×C11—41no—
957C22×C11—41no—
958C22×C11—41no—
959C22×C11—41no—
960C22×C11—41no—
961C22×C11—41no—
962C22×C11—41no—
963C22×C11C23×D411yescharacteristic
964C22×C11C22×#4111yescharacteristic
965C22×C11C22×#4111yescharacteristic
966C22×C11C22×#4111yescharacteristic
967C22×C11C22×#4111yescharacteristic
968C22×C11C2×H(5,𝔽2)11yescharacteristic
969C22×C11C2×2−1+411yescharacteristic
970C2×D11—22no—
971C2×D11—22no—
972C2×D11—22no—
973C2×D11—22no—
974C2×D11—22no—
975C2×D11—22no—
976C2×D11—41no—
977C2×D11—41no—
978C2×D11—41no—
979C2×D11—41no—
980C2×D11—41no—
981C2×D11—41no—
982C2×D11—41no—
983C2×D11—41no—
984C2×D11—416no—
985C2×D11—416no—
986C2×D11#52514yes—
987C2×D11#52914yes—
988C2×D11#54214yes—
989C2×D11#54614yes—
990C2×D11#54814yes—
991C2×D11#55114yes—
992C2×D11#55214yes—
993C4×C11—22no—
994C4×C11—22no—
995C4×C11—22no—
996C4×C11—22no—
997C4×C11—22no—
998C4×C11—41no—
999C4×C11—41no—
1000C4×C11—41no—
1001C4×C11—41no—
1002C4×C11—41no—
1003C4×C11—41no—
1004C4×C11—41no—
1005C4×C11—41no—
1006Dic11—22no—
1007Dic11—22no—
1008Dic11—22no—
1009Dic11—22no—
1010Dic11—22no—
1011Dic11—41no—
1012Dic11—41no—
1013Dic11—41no—
1014Dic11—41no—
1015Dic11—41no—
1016Dic11—41no—
1017Dic11—41no—
1018Dic11—41no—
1019C25—111no—
1020C25—111no—
1021C22×Q8—111no—
1022C22×Q8—111no—
1023C22×Q8—111no—
1024C22×Q8—224no—
1025C22×Q8—224no—
1026C22×Q8—442no—
1027C22×Q8C22×D1111yescharacteristic
1028C22×D4—111no—
1029C22×D4—111no—
1030C22×D4—111no—
1031C22×D4—224no—
1032C22×D4—224no—
1033C22×D4—442no—
1034C22×D4C22×D1111yescharacteristic
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—111no—
1047C23×C4—111no—
1048C23×C4—111no—
1049C23×C4—111no—
1050C23×C4—111no—
1051C23×C4—111no—
1052C23×C4—111no—
1053C23×C4—111no—
1054C23×C4—224no—
1055C23×C4—224no—
1056C23×C4—224no—
1057C23×C4—224no—
1058C23×C4—224no—
1059C23×C4—442no—
1060C23×C4C22×D1111yescharacteristic
1061C23×C4C22×D1111yescharacteristic
1062C22⋊Q8—24no—
1063C22⋊Q8—224no—
1064C22⋊Q8—224no—
1065C22⋊Q8—224no—
1066C22⋊Q8—224no—
1067C22⋊Q8—224no—
1068C22⋊Q8—224no—
1069C22⋊Q8—224no—
1070#117—24no—
1071#117—224no—
1072#117—224no—
1073#117—224no—
1074#117—224no—
1075#117—224no—
1076#117—224no—
1077#117—224no—
1078C2×C4⋊C4—111no—
1079C2×C4⋊C4—111no—
1080C2×C4⋊C4—111no—
1081C2×C4⋊C4—118no—
1082C2×C4⋊C4—111no—
1083C2×C4⋊C4—111no—
1084C2×C4⋊C4—111no—
1085C2×C4⋊C4—111no—
1086C2×C4⋊C4—111no—
1087C2×C4⋊C4—111no—
1088C2×C4⋊C4—111no—
1089C2×C4⋊C4—111no—
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—224no—
1098C2×C4⋊C4—224no—
1099C2×C4⋊C4—224no—
1100C2×C4⋊C4—224no—
1101C2×C4⋊C4—442no—
1102C2×C4⋊C4C22×D1111yescharacteristic
1103C2×C4⋊C4C22×D1111yescharacteristic
1104C2×C4⋊C4C22×D1111yescharacteristic
1105C2×C4⋊C4C22×D1111yescharacteristic
1106C2×C4⋊C4C22×D1111yescharacteristic
1107C2×C4⋊C4C22×D1111yescharacteristic
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—111no—
1136C2×C22⋊C4—111no—
1137C2×C22⋊C4—111no—
1138C2×C22⋊C4—224no—
1139C2×C22⋊C4—224no—
1140C2×C22⋊C4—224no—
1141C2×C22⋊C4—224no—
1142C2×C22⋊C4—224no—
1143C2×C22⋊C4—224no—
1144C2×C22⋊C4—224no—
1145C2×C22⋊C4—224no—
1146C2×C22⋊C4—224no—
1147C2×C22⋊C4—442no—
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×C22⋊C4C22×D1111yescharacteristic
1157C2×C22⋊C4C22×D1111yescharacteristic
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—224no—
1168C2×C42—224no—
1169C2×C42—442no—
1170C2×C42C22×D1111yescharacteristic
1171C2×C42C22×D1111yescharacteristic
1172C2×C42C22×D1111yescharacteristic
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#95C22×D1111yescharacteristic
1210#95C22×D1111yescharacteristic
1211#95C22×D1111yescharacteristic
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
1221C2×C11—42no—
1222C2×C11—42no—
1223C2×C11C2×#52511yescharacteristic
1224C2×C11C2×#52911yescharacteristic
1225C2×C11C2×#54211yescharacteristic
1226C2×C11C2×#54611yescharacteristic
1227C2×C11C2×#54811yescharacteristic
1228C2×C11C2×#55111yescharacteristic
1229C2×C11C2×#55211yescharacteristic
1230D11—42no—
1231D11—42no—
1232D11#247718yesdirect product factor
1233C24—111no—
1234C24—114no—
1235C24—114no—
1236C24—111no—
1237C24—111no—
1238C24—222no—
1239C24—222no—
1240C24—222no—
1241C24—222no—
1242C24—222no—
1243C24—222no—
1244C24—222no—
1245C24—222no—
1246C24—222no—
1247C24—222no—
1248C24—222no—
1249C24—222no—
1250C24C23×D1111yescharacteristic
1251C24C23×D1111yescharacteristic
1252C2×Q8—22no—
1253C2×Q8—22no—
1254C2×Q8—41no—
1255C2×Q8—222no—
1256C2×Q8—222no—
1257C2×Q8—222no—
1258C2×Q8—222no—
1259C2×Q8—222no—
1260C2×Q8—222no—
1261C2×Q8—441no—
1262C2×Q8—441no—
1263C2×Q8—441no—
1264C2×Q8—4416no—
1265C2×D4—22no—
1266C2×D4—22no—
1267C2×D4—41no—
1268C2×D4—222no—
1269C2×D4—222no—
1270C2×D4—222no—
1271C2×D4—222no—
1272C2×D4—222no—
1273C2×D4—222no—
1274C2×D4—441no—
1275C2×D4—441no—
1276C2×D4—441no—
1277C2×D4—4416no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—41no—
1284C22×C4—111no—
1285C22×C4—111no—
1286C22×C4—111no—
1287C22×C4—111no—
1288C22×C4—111no—
1289C22×C4—114no—
1290C22×C4—114no—
1291C22×C4—114no—
1292C22×C4—114no—
1293C22×C4—114no—
1294C22×C4—111no—
1295C22×C4—111no—
1296C22×C4—111no—
1297C22×C4—111no—
1298C22×C4—111no—
1299C22×C4—111no—
1300C22×C4—111no—
1301C22×C4—111no—
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—222no—
1312C22×C4—222no—
1313C22×C4—222no—
1314C22×C4—222no—
1315C22×C4—222no—
1316C22×C4—222no—
1317C22×C4—222no—
1318C22×C4—2232no—
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—441no—
1353C22×C4—441no—
1354C22×C4—4416no—
1355C22×C4—441no—
1356C22×C4C23×D1111yescharacteristic
1357C22×C4C23×D1111yescharacteristic
1358C22×C4C23×D1111yescharacteristic
1359C22×C4C23×D1111yescharacteristic
1360C22×C4C23×D1111yescharacteristic
1361C22×C4C23×D1111yescharacteristic
1362C22×C4C23×D1111yescharacteristic
1363C22×C4C23×D1111yescharacteristic
1364C22×C4C23×D1111yescharacteristic
1365C22×C4C23×D1111yescharacteristic
1366C22×C4C23×D1111yescharacteristic
1367C22×C4C23×D1111yescharacteristic
1368C22×C4C23×D1111yescharacteristic
1369C4⋊C4—22no—
1370C4⋊C4—22no—
1371C4⋊C4—22no—
1372C4⋊C4—22no—
1373C4⋊C4—41no—
1374C4⋊C4—114no—
1375C4⋊C4—114no—
1376C4⋊C4—114no—
1377C4⋊C4—222no—
1378C4⋊C4—222no—
1379C4⋊C4—222no—
1380C4⋊C4—222no—
1381C4⋊C4—222no—
1382C4⋊C4—222no—
1383C4⋊C4—222no—
1384C4⋊C4—222no—
1385C4⋊C4—222no—
1386C4⋊C4—222no—
1387C4⋊C4—222no—
1388C4⋊C4—222no—
1389C4⋊C4—441no—
1390C4⋊C4—441no—
1391C4⋊C4—441no—
1392C4⋊C4D4×D1114yescomplemented
1393C22⋊C4—22no—
1394C22⋊C4—22no—
1395C22⋊C4—22no—
1396C22⋊C4—22no—
1397C22⋊C4—22no—
1398C22⋊C4—22no—
1399C22⋊C4—22no—
1400C22⋊C4—22no—
1401C22⋊C4—22no—
1402C22⋊C4—41no—
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—222no—
1417C22⋊C4—222no—
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—441no—
1431C22⋊C4—441no—
1432C22⋊C4—441no—
1433C42—22no—
1434C42—22no—
1435C42—41no—
1436C42—222no—
1437C42—222no—
1438C42—222no—
1439C42—222no—
1440C42—222no—
1441C42—222no—
1442C42—441no—
1443C42—441no—
1444C42—441no—
1445C11C2×#247711yescharacteristic, complemented, Sylow
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—112no—
1459C23—112no—
1460C23—112no—
1461C23—112no—
1462C23—112no—
1463C23—112no—
1464C23—112no—
1465C23—112no—
1466C23—112no—
1467C23—228no—
1468C23—228no—
1469C23—228no—
1470C23—228no—
1471C23—228no—
1472C23—228no—
1473C23—221no—
1474C23—221no—
1475C23—221no—
1476C23—221no—
1477C23—221no—
1478C23—221no—
1479C23—221no—
1480C23—221no—
1481C23—221no—
1482C23—221no—
1483C23—221no—
1484C23—221no—
1485C23—444no—
1486C23—444no—
1487C23—444no—
1488C23—444no—
1489C23—444no—
1490C23—444no—
1491C23—444no—
1492C23—444no—
1493C23#41×D1112yes—
1494C23#41×D1112yes—
1495C23C24×D1111yescharacteristic
1496Q8—44no—
1497Q8—444no—
1498Q8—444no—
1499Q8—444no—
1500D4—44no—
1501D4—444no—
1502D4—444no—
1503D4—444no—
1504C2×C4—28no—
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—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—44no—
1540C2×C4—112no—
1541C2×C4—112no—
1542C2×C4—112no—
1543C2×C4—112no—
1544C2×C4—112no—
1545C2×C4—228no—
1546C2×C4—228no—
1547C2×C4—228no—
1548C2×C4—228no—
1549C2×C4—228no—
1550C2×C4—228no—
1551C2×C4—228no—
1552C2×C4—228no—
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—221no—
1581C2×C4—221no—
1582C2×C4—221no—
1583C2×C4—221no—
1584C2×C4—221no—
1585C2×C4—221no—
1586C2×C4—221no—
1587C2×C4—444no—
1588C2×C4—444no—
1589C2×C4—444no—
1590C2×C4—444no—
1591C2×C4—444no—
1592C2×C4—444no—
1593C2×C4—444no—
1594C2×C4—444no—
1595C2×C4—444no—
1596C2×C4—444no—
1597C2×C4—444no—
1598C2×C4C2×D4×D1112yes—
1599C2×C4C2×D4×D1112yes—
1600C2×C4C2×D4×D1112yes—
1601C2×C4#41×D1112yes—
1602C2×C4#41×D1112yes—
1603C22—22no—
1604C22—22no—
1605C22—22no—
1606C22—22no—
1607C22—22no—
1608C22—22no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—114no—
1618C22—114no—
1619C22—114no—
1620C22—114no—
1621C22—114no—
1622C22—114no—
1623C22—114no—
1624C22—222no—
1625C22—222no—
1626C22—222no—
1627C22—222no—
1628C22—222no—
1629C22—222no—
1630C22—4416no—
1631C22—4416no—
1632C22—441no—
1633C22—441no—
1634C22—441no—
1635C22—441no—
1636C22—441no—
1637C22—441no—
1638C22—441no—
1639C22—441no—
1640C22C22×D4×D1111yescharacteristic
1641C22C2×#41×D1111yescharacteristic
1642C22C2×#41×D1111yescharacteristic
1643C22C2×#41×D1111yescharacteristic
1644C22C2×#41×D1111yescharacteristic
1645C22D11×H(5,𝔽2)11yescharacteristic
1646C22D11×2−1+411yescharacteristic
1647C4—22no—
1648C4—22no—
1649C4—22no—
1650C4—22no—
1651C4—22no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—41no—
1659C4—41no—
1660C4—222no—
1661C4—222no—
1662C4—222no—
1663C4—222no—
1664C4—222no—
1665C4—441no—
1666C4—441no—
1667C4—441no—
1668C4—441no—
1669C4—441no—
1670C4—441no—
1671C4—441no—
1672C4—441no—
1673C2—42no—
1674C2—42no—
1675C2—118no—
1676C2—442no—
1677C2—442no—
1678C2D11×#52511yescharacteristic
1679C2D11×#52911yescharacteristic
1680C2D11×#54211yescharacteristic
1681C2D11×#54611yescharacteristic
1682C2D11×#54811yescharacteristic
1683C2D11×#55111yescharacteristic
1684C2D11×#55211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2477C2
prime radicalC22×D4×D11C22
hypercenter#2477D11
hypocenterC11C2×#2477
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2477

Complements

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

NH ≅ G/Ntype
1. C2×D11×C22⋊Q8C2semidirect
2. C2×D11×#117C2semidirect
3. #13072824C2semidirect
4. #13072823C2semidirect
5. #13072822C2semidirect
6. #13072821C2semidirect
7. #13072820C2semidirect
8. #13072819C2semidirect
9. #13072818C2semidirect
10. #13072817C2semidirect
11. #13072816C2semidirect
12. #13072815C2semidirect
13. #13072814C2semidirect
14. #13072813C2semidirect
15. #13072812C2semidirect
16. #13072811C2semidirect
17. #13072810C2semidirect
18. D11×#400C2semidirect
19. D11×#397C2semidirect
21. D11×#393C2semidirect
22. D11×#391C2semidirect
23. D11×#388C2semidirect
24. D11×#388C2semidirect
25. D11×#387C2semidirect
26. D11×#387C2semidirect
29. D11×#385C2semidirect
30. C4×C22⋊C4×D11C2semidirect
31. C11×#2477C2semidirect
36. C2×C11×C22⋊Q8C22semidirect
37. C2×C11×#117C22semidirect
38. C2×#66999C22semidirect
39. C2×#66979C22semidirect
40. C2×#66977C22semidirect
43. C2×#66950C22semidirect
44. C2×#66949C22semidirect
45. C2×#66949C22semidirect
46. C2×#66945C22semidirect
47. C2×#66945C22semidirect
64. C2×#66931C22semidirect
65. C2×#66931C22semidirect
66. C2×#66930C22semidirect
67. C2×#66930C22semidirect
68. C2×#66925C22semidirect
69. C2×#66925C22semidirect
73. C11×#400C22semidirect
74. C11×#397C22semidirect
76. C11×#393C22semidirect
77. C11×#391C22semidirect
78. C11×#388C22semidirect
79. C11×#388C22semidirect
80. C11×#387C22semidirect
81. C11×#387C22semidirect
84. C11×#385C22semidirect
85. C4×C11×C22⋊C4C22semidirect
86. #10622844C22semidirect
87. #10622843C22semidirect
93. #10622823C22semidirect
94. C4×C22⋊Dic11C22semidirect
95. #10622606C22semidirect
97. #10622603C22semidirect
98. #10622603C22semidirect
99. #10622602C22semidirect
100. #10622602C22semidirect
101. #10622599C22semidirect
102. #10622595C22semidirect
103. #10622594C22semidirect
104. #10622594C22semidirect
105. #10622591C22semidirect
106. #10622591C22semidirect
107. #10622587C22semidirect
118. #10622566C22semidirect
119. #10622565C22semidirect
120. #10622565C22semidirect
121. #10622564C22semidirect
122. #10622564C22semidirect
123. #10622563C22semidirect
124. #10622560C22semidirect
125. #10622560C22semidirect
126. #10622560C22semidirect
127. #10622559C22semidirect
128. #10622558C22semidirect
129. #10622558C22semidirect
130. #10622557C22semidirect
131. #10622557C22semidirect
132. C22⋊C4×Dic11C22semidirect
133. C22⋊C4×Dic11C22semidirect
134. #10622553C22semidirect
135. #10622553C22semidirect
136. C4×(C2×D11)⋊C4C22semidirect
137. C4×(C2×D11)⋊C4C22semidirect
138. #10622546C22semidirect
139. #10622546C22semidirect
140. #10622542C22semidirect
141. #10622288C22semidirect
142. #10622288C22semidirect
143. #10622287C22semidirect
144. #10622286C22semidirect
145. #10622286C22semidirect
146. #10622286C22semidirect
148. #10622283C22semidirect
149. #10622283C22semidirect
150. #10622282C22semidirect
151. #10622282C22semidirect
152. #10622281C22semidirect
153. #10622281C22semidirect
154. #10622279C22semidirect
155. #10622279C22semidirect
172. #10622273C22semidirect
173. #10622273C22semidirect
174. #10622272C22semidirect
175. #10622271C22semidirect
176. #10622271C22semidirect
177. #10622268C22semidirect
178. #10622268C22semidirect
179. #10622267C22semidirect
180. #10622267C22semidirect
181. #10622266C22semidirect
182. #10622266C22semidirect
183. #10622265C22semidirect
184. #10622265C22semidirect
185. #10622259C22semidirect
186. #10622259C22semidirect
187. #10622259C22semidirect
188. #10622259C22semidirect
323. C4⋊C4×D11D4semidirect
533. C11×C4⋊C4C2×D4semidirect
582. C4⋊Dic11C2×D4semidirect
593. Dic11⋊C4C2×D4semidirect
594. Dic11⋊C4C2×D4semidirect
621. #2477D11direct (N × H)
804. C2×C22⋊Q8C2×D11semidirect
813. C2×#117C2×D11semidirect
840. #400C2×D11semidirect
848. #397C2×D11semidirect
864. #393C2×D11semidirect
872. #391C2×D11semidirect
887. #388C2×D11semidirect
888. #388C2×D11semidirect
903. #387C2×D11semidirect
904. #387C2×D11semidirect
928. #385C2×D11semidirect
936. C4×C22⋊C4C2×D11semidirect
1232. D11#2477direct (N × H)
1392. C4⋊C4D4×D11semidirect
1445. C11C2×#2477semidirect

Maximal subgroups

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

subgroupindex
C2×D11×C22⋊Q82
C2×D11×#1172
#130728242
#130728232
#130728222
#130728212
#130728202
#130728192
#130728182
#130728172
#130728162
#130728152
#130728142
#130728132
#130728122
#130728112
#130728102
D11×#4002
D11×#3972
D11×#3942
D11×#3932
D11×#3912
D11×#3882
D11×#3872
D11×#3862
D11×#3852
C4×C22⋊C4×D112
C11×#24772
C2×#247711