Finite Group Databasebeta

← D11×#2428 #14921652

Subgroups — D11×#2428 #14921652

Order 2816.

5062 conjugacy classes of subgroups.

The subgroup lattice has 1508 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D11×#127C211yesmaximal, characteristic, complemented
2C2×D11×#121C211yesmaximal, characteristic, complemented
3C2×D11×#121C211yesmaximal, characteristic, complemented
4C2×D11×#121C212yesmaximal, complemented
5C2×C4×D4×D11C211yesmaximal, characteristic, complemented
6#13072207C211yesmaximal, characteristic, complemented
7#13072206C211yesmaximal, characteristic, complemented
8#13072205C211yesmaximal, characteristic, complemented
9#13072204C211yesmaximal, characteristic, complemented
10#13072203C212yesmaximal, complemented
11#13072202C211yesmaximal, characteristic, complemented
12#13072201C212yesmaximal, complemented
13#13072200C211yesmaximal, characteristic, complemented
14#13072199C212yesmaximal, complemented
15#13072198C211yesmaximal, characteristic, complemented
16#13072197C212yesmaximal, complemented
17D11×#394C212yesmaximal, complemented
18D11×#392C212yesmaximal, complemented
19D11×#390C211yesmaximal, characteristic, complemented
20D11×#389C211yesmaximal, characteristic, complemented
21D11×#386C212yesmaximal, complemented
22C4×C22⋊C4×D11C211yesmaximal, characteristic, complemented
23C11×#2428C211yesmaximal, characteristic, complemented
24C22×D4×D11C2211yescharacteristic
25C22×D4×D11C2212yes—
26C22×D4×D11C2212yes—
27C22×D4×D11C2212yes—
28C22×D4×D11C2212yes—
29C22×D4×D11C2211yescharacteristic
30C23×C4×D11C2211yescharacteristic
31C23×C4×D11C2212yes—
32C2×C11×#127C2211yescharacteristic, complemented
33C2×C11×#121C2211yescharacteristic, complemented
34C2×C11×#121C2212yescomplemented
35C2×C11×#121C2211yescharacteristic, complemented
36C2×C4×D4×C11C2211yescharacteristic, complemented
37C2×#66993C2212yescomplemented
38C2×#66993C2211yescharacteristic, complemented
39C2×#66993C2212yescomplemented
40C2×#66993C2211yescharacteristic, complemented
41C2×#66992C2212yescomplemented
42C2×#66992C2212yescomplemented
43C2×#66992C2212yescomplemented
44C2×#66992C2212yescomplemented
45C2×#66991C2212yescomplemented
46C2×#66991C2211yescharacteristic, complemented
47C2×#66991C2211yescharacteristic, complemented
48C2×D4×Dic11C2211yescharacteristic, complemented
49C2×#66983C2212yescomplemented
50C2×#66983C2211yescharacteristic, complemented
51C2×#66983C2211yescharacteristic, complemented
52C2×C4×C22⋊D11C2212yescomplemented
53D11×#127—28no—
54D11×#121—28no—
55D11×#121—28no—
56D11×#121—216no—
57C4×D4×D11—28no—
58C2×#66948C2211yescharacteristic, complemented
59C2×#66948C2212yescomplemented
60C2×#66948C2211yescharacteristic, complemented
61C2×#66946C2211yescharacteristic, complemented
62C2×C4⋊C4×D11C2212yes—
63C2×C4⋊C4×D11C2211yescharacteristic
64C2×C4⋊C4×D11C2211yescharacteristic
65C2×#66937C2212yescomplemented
66C2×#66937C2212yescomplemented
67C2×#66937C2212yescomplemented
68C2×#66937C2212yescomplemented
69C2×(C22⋊D11)⋊C4C2212yescomplemented
70C2×C22⋊C4×D11C2211yescharacteristic
71C2×C22⋊C4×D11C2212yes—
72C2×C22⋊C4×D11C2212yes—
73C2×C22⋊C4×D11C2212yes—
74C2×C22⋊C4×D11C2212yes—
75C2×C22⋊C4×D11C2212yes—
76C2×C22⋊C4×D11C2211yescharacteristic
77C2×#66927C2211yescharacteristic, complemented
78C2×C4×D44C2211yescharacteristic, complemented
79C2×C42×D11C2211yescharacteristic
80C2×C42×D11C2211yescharacteristic
81C11×#394C2212yescomplemented
82C11×#392C2212yescomplemented
83C11×#390C2211yescharacteristic, complemented
84C11×#389C2211yescharacteristic, complemented
85C11×#386C2212yescomplemented
86C4×C11×C22⋊C4C2211yescharacteristic, complemented
87#10622836C2212yescomplemented
88#10622836C2212yescomplemented
89#10622836C2212yescomplemented
90#10622835C2212yescomplemented
91#10622834C2211yescharacteristic, complemented
92#10622833C2212yescomplemented
93#10622826C2212yescomplemented
94C4×C22⋊Dic11C2211yescharacteristic, complemented
95#10622604C2212yescomplemented
96#10622601C2211yescharacteristic, complemented
97#10622598C2211yescharacteristic, complemented
98#10622586C2211yescharacteristic, complemented
99#10622585C2212yescomplemented
100#10622574C2212yescomplemented
101#10622574C2212yescomplemented
102#10622573C2212yescomplemented
103#10622573C2212yescomplemented
104#10622573C2212yescomplemented
105#10622572C2212yescomplemented
106#10622572C2212yescomplemented
107#10622571C2212yescomplemented
108#10622570C2212yescomplemented
109#10622570C2212yescomplemented
110#10622569C2212yescomplemented
111#10622569C2212yescomplemented
112C22⋊C4×Dic11C2211yescharacteristic, complemented
113C22⋊C4×Dic11C2211yescharacteristic, complemented
114#10622552C2211yescharacteristic, complemented
115C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
116C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
117#10622541C2211yescharacteristic, complemented
118#10622285C2212yescomplemented
119#10622284C2212yescomplemented
120#10622279C2211yescharacteristic, complemented
121#10622279C2211yescharacteristic, complemented
122#10622278C2212yescomplemented
123#10622278C2212yescomplemented
124D11×#95C2211yescharacteristic
125D11×#95C2211yescharacteristic
126D11×#95C2212yes—
127#10622260C2212yescomplemented
128C24×D11C2312yes—
129C24×D11C2312yes—
130C24×D11C2311yescharacteristic
131C22×D4×C11C2311yescharacteristic
132C22×D4×C11C2312yes—
133C22×D4×C11C2312yes—
134C22×D4×C11C2312yes—
135C22×D4×C11C2312yes—
136C22×D4×C11C2311yescharacteristic
137C23×C4×C11C2311yescharacteristic
138C23×C4×C11C2312yes—
139C22×C22⋊D11C2312yes—
140C22×C22⋊D11C2312yes—
141C22×C22⋊D11C2312yes—
142C22×C22⋊D11C2312yes—
143C22×C22⋊D11C2312yes—
144C22×C22⋊D11C2312yes—
145C22×C22⋊D11C2312yes—
146C22×C22⋊D11C2312yes—
147C22×C22⋊D11C2312yes—
148C22×C22⋊D11C2312yes—
149C23×Dic11C2311yescharacteristic
150C23×Dic11C2312yes—
151C2×D4×D11—28no—
152C2×D4×D11—28no—
153C2×D4×D11—28no—
154C2×D4×D11—28no—
155C2×D4×D11—28no—
156C2×D4×D11—24no—
157C2×D4×D11—24no—
158C2×D4×D11—28no—
159C2×D4×D11—28no—
160C2×D4×D11—24no—
161C2×D4×D11—24no—
162C2×D4×D11—28no—
163C2×D4×D11—24no—
164C2×D4×D11—44no—
165C2×D4×D11—44no—
166C2×D4×D11—44no—
167C2×D4×D11—44no—
168C2×D4×D11D418yescomplemented
169C22×D44C2311yescharacteristic
170C22×D44C2312yes—
171C22×D44C2312yes—
172C22×D44C2312yes—
173C22×D44C2312yes—
174C22×D44C2311yescharacteristic
175C22×C4×D11—28no—
176C22×C4×D11—24no—
177C22×C4×D11—24no—
178C22×C4×D11—28no—
179C22×C4×D11—24no—
180C22×C4×D11—44no—
181C22×C4×D11C2311yescharacteristic
182C22×C4×D11C2311yescharacteristic
183C22×C4×D11C2312yes—
184C22×C4×D11C2311yescharacteristic
185C22×C4×D11C2311yescharacteristic
186C22×C4×D11C2312yes—
187C22×C4×D11C2312yes—
188C22×C4×D11C2311yescharacteristic
189C22×C4×D11C2311yescharacteristic
190C22×C4×D11C2312yes—
191C22×C4×D11C2311yescharacteristic
192C22×C4×D11C2311yescharacteristic
193C11×#127—24no—
194C11×#121—24no—
195C11×#121—24no—
196C11×#121—28no—
197C4×D4×C11—24no—
198C2×C11×C4⋊C4C2312yes—
199C2×C11×C4⋊C4C2311yescharacteristic
200C2×C11×C4⋊C4C2311yescharacteristic
201C2×C11×C22⋊C4C2312yes—
202C2×C11×C22⋊C4C2312yes—
203C2×C11×C22⋊C4C2312yes—
204C2×C11×C22⋊C4C2312yes—
205C2×C11×C22⋊C4C2311yescharacteristic
206C2×C11×C22⋊C4C2312yes—
207C2×C11×C22⋊C4C2311yescharacteristic
208C2×C42×C11C2311yescharacteristic
209C2×C42×C11C2311yescharacteristic
210C2×C22⋊Dic11C2312yes—
211C2×C22⋊Dic11C2311yescharacteristic
212C2×C22⋊Dic11C2312yes—
213C2×C22⋊Dic11C2312yes—
214C2×C22⋊Dic11C2312yes—
215C2×C22⋊Dic11C2312yes—
216C2×C22⋊Dic11C2311yescharacteristic
217#66993—24no—
218#66993—28no—
219#66993—28no—
220#66993—24no—
221#66992—28no—
222#66992—28no—
223#66992—28no—
224#66992—28no—
225#66991—24no—
226#66991—28no—
227#66991—24no—
228D4×Dic11—24no—
229#66983—24no—
230#66983—28no—
231#66983—24no—
232C4×C22⋊D11—28no—
233C2×(C2×D11)⋊C4C2312yes—
234C2×(C2×D11)⋊C4C2312yes—
235C2×(C2×D11)⋊C4C2312yes—
236C2×(C2×D11)⋊C4C2312yes—
237C2×(C2×D11)⋊C4C2312yes—
238C2×(C2×D11)⋊C4C2312yes—
239C2×(C2×D11)⋊C4C2312yes—
240C2×(C2×D11)⋊C4C2312yes—
241C2×(C2×D11)⋊C4C2311yescharacteristic
242C2×(C2×D11)⋊C4C2311yescharacteristic
243C2×(C2×D11)⋊C4C2312yes—
244C2×(C2×D11)⋊C4C2312yes—
245C2×(C2×D11)⋊C4C2311yescharacteristic
246C2×(C2×D11)⋊C4C2311yescharacteristic
247C2×C4⋊Dic11C2312yes—
248C2×C4⋊Dic11C2311yescharacteristic
249C2×C4⋊Dic11C2311yescharacteristic
250C2×Dic11⋊C4C2312yes—
251C2×Dic11⋊C4C2312yes—
252C2×Dic11⋊C4C2312yes—
253C2×Dic11⋊C4C2312yes—
254C2×C4×Dic11C2311yescharacteristic
255C2×C4×Dic11C2311yescharacteristic
256C2×C4×Dic11C2311yescharacteristic
257C2×C4×Dic11C2311yescharacteristic
258C2×C4×Dic11C2311yescharacteristic
259C2×C4×Dic11C2311yescharacteristic
260#66948—24no—
261#66948—24no—
262#66948—28no—
263#66946—24no—
264C4⋊C4×D11—24no—
265C4⋊C4×D11—28no—
266C4⋊C4×D11D418yescomplemented
267#66937—28no—
268#66937—28no—
269#66937—28no—
270#66937—28no—
271(C22⋊D11)⋊C4—28no—
272C22⋊C4×D11—28no—
273C22⋊C4×D11—28no—
274C22⋊C4×D11—28no—
275C22⋊C4×D11—28no—
276C22⋊C4×D11—24no—
277C22⋊C4×D11—44no—
278C22⋊C4×D11D418yescomplemented
279#66927—24no—
280C4×D44—24no—
281C42×D11—24no—
282C42×D11—24no—
283C11×#95C2312yes—
284C11×#95C2311yescharacteristic
285C11×#95C2311yescharacteristic
286C11⋊#95C2312yes—
287C11⋊#95C2311yescharacteristic
288C11⋊#95C2311yescharacteristic
289C11⋊#95C2311yescharacteristic
290C11⋊#95C2311yescharacteristic
291C11⋊#95C2311yescharacteristic
292C11⋊#95C2311yescharacteristic
293C11⋊#95C2312yes—
294C11⋊#95C2312yes—
295C2×#2428—111nomaximal, Sylow
296C24×C11C2412yes—
297C24×C11C2412yes—
298C24×C11C2411yescharacteristic
299C23×D11—24no—
300C23×D11—22no—
301C23×D11—22no—
302C23×D11—24no—
303C23×D11—22no—
304C23×D11—22no—
305C23×D11—24no—
306C23×D11—24no—
307C23×D11—24no—
308C23×D11—22no—
309C23×D11—22no—
310C23×D11—24no—
311C23×D11—24no—
312C23×D11—24no—
313C23×D11—24no—
314C23×D11—24no—
315C23×D11—24no—
316C23×D11—24no—
317C23×D11—24no—
318C23×D11C2×D418yes—
319C23×D11C2×D414yes—
320C23×D11C2412yes—
321C23×D11C2412yes—
322C23×D11C2411yescharacteristic
323C23×D11C2411yescharacteristic
324C2×D4×C11—24no—
325C2×D4×C11—24no—
326C2×D4×C11—24no—
327C2×D4×C11—24no—
328C2×D4×C11—24no—
329C2×D4×C11—22no—
330C2×D4×C11—22no—
331C2×D4×C11—24no—
332C2×D4×C11—24no—
333C2×D4×C11—22no—
334C2×D4×C11—22no—
335C2×D4×C11—24no—
336C2×D4×C11—22no—
337C2×D4×C11—42no—
338C2×D4×C11—42no—
339C2×D4×C11—42no—
340C2×D4×C11—42no—
341C2×D4×C11C2×D414yescomplemented
342C22×C4×C11—24no—
343C22×C4×C11—24no—
344C22×C4×C11—22no—
345C22×C4×C11—22no—
346C22×C4×C11—22no—
347C22×C4×C11—42no—
348C22×C4×C11C2411yescharacteristic
349C22×C4×C11C2411yescharacteristic
350C22×C4×C11C2412yes—
351C22×C4×C11C2411yescharacteristic
352C22×C4×C11C2411yescharacteristic
353C22×C4×C11C2412yes—
354C22×C4×C11C2411yescharacteristic
355C22×C4×C11C2411yescharacteristic
356C2×C22⋊D11—24no—
357C2×C22⋊D11—24no—
358C2×C22⋊D11—24no—
359C2×C22⋊D11—24no—
360C2×C22⋊D11—24no—
361C2×C22⋊D11—24no—
362C2×C22⋊D11—24no—
363C2×C22⋊D11—24no—
364C2×C22⋊D11—24no—
365C2×C22⋊D11—24no—
366C2×C22⋊D11—24no—
367C2×C22⋊D11—24no—
368C2×C22⋊D11—24no—
369C2×C22⋊D11—24no—
370C2×C22⋊D11—24no—
371C2×C22⋊D11—24no—
372C2×C22⋊D11—24no—
373C2×C22⋊D11—24no—
374C2×C22⋊D11—24no—
375C2×C22⋊D11—24no—
376C2×C22⋊D11—24no—
377C2×C22⋊D11—42no—
378C2×C22⋊D11—42no—
379C2×C22⋊D11—42no—
380C2×C22⋊D11—42no—
381C2×C22⋊D11—42no—
382C2×C22⋊D11—42no—
383C2×C22⋊D11—42no—
384C2×C22⋊D11—42no—
385C2×C22⋊D11C2×D418yescomplemented
386C22×Dic11—24no—
387C22×Dic11—24no—
388C22×Dic11—22no—
389C22×Dic11—22no—
390C22×Dic11—22no—
391C22×Dic11—42no—
392C22×Dic11C2411yescharacteristic
393C22×Dic11C2411yescharacteristic
394C22×Dic11C2412yes—
395C22×Dic11C2411yescharacteristic
396C22×Dic11C2411yescharacteristic
397C22×Dic11C2412yes—
398C22×Dic11C2411yescharacteristic
399C22×Dic11C2411yescharacteristic
400D4×D11—232no—
401D4×D11—432no—
402D4×D11—432no—
403D4×D11—432no—
404D4×D11—432no—
405D4×D11—416no—
406C2×D44—24no—
407C2×D44—24no—
408C2×D44—24no—
409C2×D44—24no—
410C2×D44—24no—
411C2×D44—22no—
412C2×D44—22no—
413C2×D44—24no—
414C2×D44—24no—
415C2×D44—22no—
416C2×D44—22no—
417C2×D44—24no—
418C2×D44—22no—
419C2×D44—42no—
420C2×D44—42no—
421C2×D44—42no—
422C2×D44—42no—
423C2×D44C2×D414yescomplemented
424C2×C4×D11—24no—
425C2×C4×D11—22no—
426C2×C4×D11—22no—
427C2×C4×D11—24no—
428C2×C4×D11—22no—
429C2×C4×D11—22no—
430C2×C4×D11—22no—
431C2×C4×D11—22no—
432C2×C4×D11—24no—
433C2×C4×D11—22no—
434C2×C4×D11—22no—
435C2×C4×D11—22no—
436C2×C4×D11—24no—
437C2×C4×D11—24no—
438C2×C4×D11—22no—
439C2×C4×D11—22no—
440C2×C4×D11—22no—
441C2×C4×D11—24no—
442C2×C4×D11—22no—
443C2×C4×D11—22no—
444C2×C4×D11—22no—
445C2×C4×D11—24no—
446C2×C4×D11—24no—
447C2×C4×D11—24no—
448C2×C4×D11—22no—
449C2×C4×D11—22no—
450C2×C4×D11—22no—
451C2×C4×D11—42no—
452C2×C4×D11—42no—
453C2×C4×D11—432no—
454C2×C4×D11—416no—
455C2×C4×D11C2×D414yes—
456C2×C4×D11C2×D418yes—
457C2×C4×D11C2×D414yes—
458C2×C4×D11C2×D414yes—
459C2×C4×D11C2×D414yes—
460C2×C4×D11#4114yes—
461C2×C4×D11#4114yes—
462C11×C4⋊C4—24no—
463C11×C4⋊C4—22no—
464C11×C4⋊C4C2×D414yescomplemented
465C11×C22⋊C4—24no—
466C11×C22⋊C4—24no—
467C11×C22⋊C4—24no—
468C11×C22⋊C4—24no—
469C11×C22⋊C4—22no—
470C11×C22⋊C4—42no—
471C11×C22⋊C4C2×D414yescomplemented
472C42×C11—22no—
473C42×C11—22no—
474C22⋊Dic11—24no—
475C22⋊Dic11—24no—
476C22⋊Dic11—24no—
477C22⋊Dic11—22no—
478C22⋊Dic11—24no—
479C22⋊Dic11—42no—
480C22⋊Dic11C2×D414yescomplemented
481(C2×D11)⋊C4—24no—
482(C2×D11)⋊C4—24no—
483(C2×D11)⋊C4—24no—
484(C2×D11)⋊C4—22no—
485(C2×D11)⋊C4—24no—
486(C2×D11)⋊C4—24no—
487(C2×D11)⋊C4—24no—
488(C2×D11)⋊C4—24no—
489(C2×D11)⋊C4—24no—
490(C2×D11)⋊C4—22no—
491(C2×D11)⋊C4—42no—
492(C2×D11)⋊C4—42no—
493(C2×D11)⋊C4C2×D414yescomplemented
494(C2×D11)⋊C4C2×D414yescomplemented
495C4⋊Dic11—24no—
496C4⋊Dic11—22no—
497C4⋊Dic11C2×D414yescomplemented
498Dic11⋊C4—24no—
499Dic11⋊C4—24no—
500Dic11⋊C4—24no—
501Dic11⋊C4C2×D418yescomplemented
502C4×Dic11—22no—
503C4×Dic11—22no—
504C4×Dic11—22no—
505C4×Dic11—22no—
506C4×Dic11—22no—
507C4×Dic11—22no—
508C22×#127—111no—
509C22×#121—112no—
510C22×#121—111no—
511C22×#121—111no—
512C22×C4×D4—111no—
513#2428—112no—
514#2428—112no—
515#2428—111no—
516#2428—111no—
517#2428—112no—
518#2428—111no—
519#2428—111no—
520#2428—111no—
521#2428—112no—
522#2428—111no—
523#2428—111no—
524#2428D1111yescharacteristic, direct product factor
525C2×#394—112no—
526C2×#392—112no—
527C2×#390—111no—
528C2×#389—111no—
529C2×#386—112no—
530C2×C4×C22⋊C4—111no—
531C23×C11—22no—
532C23×C11—21no—
533C23×C11—21no—
534C23×C11—22no—
535C23×C11—21no—
536C23×C11—21no—
537C23×C11—22no—
538C23×C11—22no—
539C23×C11—22no—
540C23×C11—21no—
541C23×C11—22no—
542C23×C11—21no—
543C23×C11—22no—
544C23×C11—22no—
545C23×C11—22no—
546C23×C11—22no—
547C23×C11—22no—
548C23×C11—22no—
549C23×C11—22no—
550C23×C11C22×D414yes—
551C23×C11C22×D412yes—
552C23×C11C2511yescharacteristic
553C22×D11—22no—
554C22×D11—21no—
555C22×D11—21no—
556C22×D11—22no—
557C22×D11—21no—
558C22×D11—21no—
559C22×D11—22no—
560C22×D11—22no—
561C22×D11—22no—
562C22×D11—21no—
563C22×D11—22no—
564C22×D11—21no—
565C22×D11—216no—
566C22×D11—28no—
567C22×D11—28no—
568C22×D11—216no—
569C22×D11—28no—
570C22×D11—216no—
571C22×D11—22no—
572C22×D11—22no—
573C22×D11—22no—
574C22×D11—22no—
575C22×D11—22no—
576C22×D11—22no—
577C22×D11—22no—
578C22×D11—44no—
579C22×D11—48no—
580C22×D11—44no—
581C22×D11—48no—
582C22×D11—48no—
583C22×D11—44no—
584C22×D11—48no—
585C22×D11—44no—
586C22×D11—48no—
587C22×D11—48no—
588C22×D11—48no—
589C22×D11—48no—
590C22×D11—48no—
591C22×D11—48no—
592C22×D11—48no—
593C22×D11C22×D414yes—
594C22×D11C22×D412yes—
595C22×D11C22×D412yes—
596C22×D11C22×D412yes—
597C22×D11C22×D412yes—
598C22×D11C2×#4112yes—
599C22×D11C2×#4112yes—
600C22×D11H(5,𝔽2)12yes—
601C22×D11H(5,𝔽2)12yes—
602D4×C11—28no—
603D4×C11—48no—
604D4×C11—48no—
605D4×C11—48no—
606D4×C11—48no—
607D4×C11—44no—
608C2×C4×C11—21no—
609C2×C4×C11—21no—
610C2×C4×C11—21no—
611C2×C4×C11—22no—
612C2×C4×C11—21no—
613C2×C4×C11—22no—
614C2×C4×C11—21no—
615C2×C4×C11—21no—
616C2×C4×C11—21no—
617C2×C4×C11—22no—
618C2×C4×C11—22no—
619C2×C4×C11—21no—
620C2×C4×C11—21no—
621C2×C4×C11—21no—
622C2×C4×C11—21no—
623C2×C4×C11—21no—
624C2×C4×C11—22no—
625C2×C4×C11—48no—
626C2×C4×C11—44no—
627C2×C4×C11C22×D412yes—
628C2×C4×C11C22×D414yes—
629C2×C4×C11C22×D412yes—
630C2×C4×C11C22×D412yes—
631C2×C4×C11C22×D412yes—
632C2×C4×C11C2×#4112yes—
633C2×C4×C11C2×#4112yes—
634C22⋊D11—216no—
635C22⋊D11—48no—
636C22⋊D11—48no—
637C22⋊D11—48no—
638C22⋊D11—48no—
639C22⋊D11—48no—
640C22⋊D11—48no—
641C22⋊D11—48no—
642C22⋊D11—48no—
643C22⋊D11—48no—
644C2×Dic11—21no—
645C2×Dic11—21no—
646C2×Dic11—21no—
647C2×Dic11—22no—
648C2×Dic11—21no—
649C2×Dic11—22no—
650C2×Dic11—21no—
651C2×Dic11—21no—
652C2×Dic11—21no—
653C2×Dic11—22no—
654C2×Dic11—22no—
655C2×Dic11—21no—
656C2×Dic11—21no—
657C2×Dic11—21no—
658C2×Dic11—21no—
659C2×Dic11—21no—
660C2×Dic11—22no—
661C2×Dic11—48no—
662C2×Dic11—44no—
663C2×Dic11C22×D412yes—
664C2×Dic11C22×D414yes—
665C2×Dic11C22×D412yes—
666C2×Dic11C22×D412yes—
667C2×Dic11C22×D412yes—
668C2×Dic11C2×#4112yes—
669C2×Dic11C2×#4112yes—
670D44—28no—
671D44—48no—
672D44—48no—
673D44—48no—
674D44—48no—
675D44—44no—
676C4×D11—28no—
677C4×D11—216no—
678C4×D11—28no—
679C4×D11—28no—
680C4×D11—48no—
681C4×D11—48no—
682C4×D11—44no—
683C4×D11—48no—
684C4×D11—44no—
685C4×D11—44no—
686C4×D11—44no—
687C4×D11#121116yescomplemented
688C23×D4—111no—
689C23×D4—111no—
690C23×D4—112no—
691C23×D4—112no—
692C23×D4—112no—
693C23×D4—112no—
694C24×C4—111no—
695C24×C4—112no—
696C2×#127—112no—
697C2×#127—112no—
698C2×#127—111no—
699C2×#127—111no—
700C2×#127—111no—
701C2×#127—228no—
702C2×#127C2×D1111yescharacteristic, complemented
703C2×#121—112no—
704C2×#121—111no—
705C2×#121—111no—
706C2×#121—112no—
707C2×#121—112no—
708C2×#121—112no—
709C2×#121—112no—
710C2×#121—112no—
711C2×#121—111no—
712C2×#121—111no—
713C2×#121—112no—
714C2×#121—111no—
715C2×#121—111no—
716C2×#121—112no—
717C2×#121—112no—
718C2×#121—112no—
719C2×#121—112no—
720C2×#121—2216no—
721C2×#121—228no—
722C2×#121—228no—
723C2×#121C2×D1112yescomplemented
724C2×#121C2×D1111yescharacteristic, complemented
725C2×#121C2×D1111yescharacteristic, complemented
726C2×C4×D4—111no—
727C2×C4×D4—112no—
728C2×C4×D4—111no—
729C2×C4×D4—112no—
730C2×C4×D4—111no—
731C2×C4×D4—228no—
732C2×C4×D4C2×D1111yescharacteristic, complemented
733C22×C4⋊C4—111no—
734C22×C4⋊C4—112no—
735C22×C4⋊C4—111no—
736C22×C22⋊C4—111no—
737C22×C22⋊C4—111no—
738C22×C22⋊C4—112no—
739C22×C22⋊C4—112no—
740C22×C22⋊C4—112no—
741C22×C22⋊C4—112no—
742C22×C22⋊C4—112no—
743C22×C42—111no—
744C22×C42—111no—
745#394—112no—
746#394—112no—
747#394—112no—
748#394—112no—
749#394—112no—
750#394—112no—
751#394—112no—
752#394C2×D1112yescomplemented
753#392—112no—
754#392—112no—
755#392—112no—
756#392—112no—
757#392—112no—
758#392—112no—
759#392—112no—
760#392C2×D1112yescomplemented
761#390—111no—
762#390—111no—
763#390—112no—
764#390—112no—
765#390—111no—
766#390C2×D1111yescharacteristic, complemented
767#389—112no—
768#389—111no—
769#389—111no—
770#389—111no—
771#389—112no—
772#389C2×D1111yescharacteristic, complemented
773#386—112no—
774#386—112no—
775#386—112no—
776#386—112no—
777#386—112no—
778#386—112no—
779#386—112no—
780#386C2×D1112yescomplemented
781C4×C22⋊C4—111no—
782C4×C22⋊C4—111no—
783C4×C22⋊C4—111no—
784C4×C22⋊C4—111no—
785C4×C22⋊C4—111no—
786C4×C22⋊C4—111no—
787C4×C22⋊C4—111no—
788C4×C22⋊C4C2×D1111yescharacteristic, complemented
789C2×#95—112no—
790C2×#95—111no—
791C2×#95—111no—
792C22×C11—24no—
793C22×C11—22no—
794C22×C11—22no—
795C22×C11—24no—
796C22×C11—22no—
797C22×C11—24no—
798C22×C11—41no—
799C22×C11—42no—
800C22×C11—41no—
801C22×C11—42no—
802C22×C11—42no—
803C22×C11—41no—
804C22×C11—42no—
805C22×C11—41no—
806C22×C11—42no—
807C22×C11—42no—
808C22×C11—42no—
809C22×C11—42no—
810C22×C11—42no—
811C22×C11—42no—
812C22×C11—42no—
813C22×C11C23×D411yescharacteristic
814C22×C11C23×D411yescharacteristic
815C22×C11C23×D411yescharacteristic
816C22×C11C22×#4111yescharacteristic
817C22×C11C22×#4111yescharacteristic
818C22×C11C2×H(5,𝔽2)11yescharacteristic
819C22×C11C2×H(5,𝔽2)11yescharacteristic
820C2×D11—24no—
821C2×D11—22no—
822C2×D11—22no—
823C2×D11—24no—
824C2×D11—22no—
825C2×D11—24no—
826C2×D11—41no—
827C2×D11—42no—
828C2×D11—41no—
829C2×D11—42no—
830C2×D11—42no—
831C2×D11—41no—
832C2×D11—42no—
833C2×D11—41no—
834C2×D11—432no—
835C2×D11—416no—
836C2×D11—42no—
837C2×D11—42no—
838C2×D11—42no—
839C2×D11—42no—
840C2×D11—42no—
841C2×D11—42no—
842C2×D11—42no—
843C2×D11—816no—
844C2×D11C2×#12114yes—
845C2×D11#53214yes—
846C2×D11#54014yes—
847C2×D11D4214yes—
848C2×D11D4214yes—
849C2×D11#54614yes—
850C2×D11#55014yes—
851C4×C11—22no—
852C4×C11—24no—
853C4×C11—22no—
854C4×C11—22no—
855C4×C11—41no—
856C4×C11—42no—
857C4×C11—41no—
858C4×C11C2×#12114yescomplemented
859Dic11—22no—
860Dic11—24no—
861Dic11—22no—
862Dic11—22no—
863Dic11—41no—
864Dic11—42no—
865Dic11—41no—
866Dic11C2×#12114yescomplemented
867C25—111no—
868C25—112no—
869C25—112no—
870C22×D4—112no—
871C22×D4—118no—
872C22×D4—112no—
873C22×D4—112no—
874C22×D4—112no—
875C22×D4—112no—
876C22×D4—112no—
877C22×D4—112no—
878C22×D4—112no—
879C22×D4—112no—
880C22×D4—112no—
881C22×D4—111no—
882C22×D4—111no—
883C22×D4—112no—
884C22×D4—112no—
885C22×D4—112no—
886C22×D4—112no—
887C22×D4—224no—
888C22×D4—224no—
889C22×D4—224no—
890C22×D4—228no—
891C22×D4—228no—
892C22×D4—224no—
893C22×D4—224no—
894C22×D4—228no—
895C22×D4—228no—
896C22×D4—228no—
897C22×D4—228no—
898C22×D4—228no—
899C22×D4—228no—
900C22×D4—444no—
901C22×D4—444no—
902C22×D4—444no—
903C22×D4—444no—
904C22×D4C22×D1111yescharacteristic
905C22×D4C22×D1112yes—
906C22×D4C22×D1112yes—
907C22×D4C22×D1112yes—
908C22×D4C22×D1112yes—
909C22×D4C22×D1111yescharacteristic
910C23×C4—111no—
911C23×C4—111no—
912C23×C4—112no—
913C23×C4—111no—
914C23×C4—111no—
915C23×C4—111no—
916C23×C4—112no—
917C23×C4—111no—
918C23×C4—111no—
919C23×C4—112no—
920C23×C4—111no—
921C23×C4—111no—
922C23×C4—112no—
923C23×C4—112no—
924C23×C4—228no—
925C23×C4—224no—
926C23×C4—224no—
927C23×C4—228no—
928C23×C4—224no—
929C23×C4—444no—
930C23×C4C22×D1111yescharacteristic
931C23×C4C22×D1112yes—
932#127—24no—
933#127—224no—
934#127—228no—
935#127—228no—
936#127—224no—
937#127—224no—
938#121—24no—
939#121—24no—
940#121—28no—
941#121—228no—
942#121—228no—
943#121—228no—
944#121—228no—
945#121—228no—
946#121—228no—
947#121—228no—
948#121—228no—
949#121—224no—
950#121—224no—
951#121—224no—
952#121—228no—
953#121—224no—
954#121—228no—
955#121—224no—
956#121—224no—
957#121—228no—
958C4×D4—24no—
959C4×D4—224no—
960C4×D4—228no—
961C4×D4—228no—
962C4×D4—224no—
963C4×D4—224no—
964C2×C4⋊C4—112no—
965C2×C4⋊C4—111no—
966C2×C4⋊C4—118no—
967C2×C4⋊C4—112no—
968C2×C4⋊C4—111no—
969C2×C4⋊C4—112no—
970C2×C4⋊C4—112no—
971C2×C4⋊C4—112no—
972C2×C4⋊C4—224no—
973C2×C4⋊C4—228no—
974C2×C4⋊C4C22×D1111yescharacteristic
975C2×C4⋊C4C22×D1112yes—
976C2×C4⋊C4C22×D1111yescharacteristic
977C2×C22⋊C4—111no—
978C2×C22⋊C4—111no—
979C2×C22⋊C4—111no—
980C2×C22⋊C4—118no—
981C2×C22⋊C4—112no—
982C2×C22⋊C4—112no—
983C2×C22⋊C4—112no—
984C2×C22⋊C4—112no—
985C2×C22⋊C4—111no—
986C2×C22⋊C4—112no—
987C2×C22⋊C4—112no—
988C2×C22⋊C4—112no—
989C2×C22⋊C4—112no—
990C2×C22⋊C4—112no—
991C2×C22⋊C4—112no—
992C2×C22⋊C4—112no—
993C2×C22⋊C4—112no—
994C2×C22⋊C4—111no—
995C2×C22⋊C4—111no—
996C2×C22⋊C4—112no—
997C2×C22⋊C4—112no—
998C2×C22⋊C4—112no—
999C2×C22⋊C4—228no—
1000C2×C22⋊C4—228no—
1001C2×C22⋊C4—228no—
1002C2×C22⋊C4—224no—
1003C2×C22⋊C4—228no—
1004C2×C22⋊C4—444no—
1005C2×C22⋊C4C22×D1112yes—
1006C2×C22⋊C4C22×D1112yes—
1007C2×C22⋊C4C22×D1112yes—
1008C2×C22⋊C4C22×D1112yes—
1009C2×C22⋊C4C22×D1111yescharacteristic
1010C2×C22⋊C4C22×D1112yes—
1011C2×C22⋊C4C22×D1111yescharacteristic
1012C2×C42—111no—
1013C2×C42—111no—
1014C2×C42—111no—
1015C2×C42—111no—
1016C2×C42—111no—
1017C2×C42—111no—
1018C2×C42—224no—
1019C2×C42—224no—
1020C2×C42C22×D1111yescharacteristic
1021C2×C42C22×D1111yescharacteristic
1022#95—111no—
1023#95—111no—
1024#95—111no—
1025#95—111no—
1026#95—111no—
1027#95—111no—
1028#95—112no—
1029#95—112no—
1030#95—112no—
1031#95C22×D1111yescharacteristic
1032#95C22×D1111yescharacteristic
1033#95C22×D1112yes—
1034C2×C11—44no—
1035C2×C11—42no—
1036C2×C11—82no—
1037C2×C11C22×#12111yescharacteristic
1038C2×C11C2×#53211yescharacteristic
1039C2×C11C2×#54011yescharacteristic
1040C2×C11C2×D4211yescharacteristic
1041C2×C11C2×D4211yescharacteristic
1042C2×C11C2×#54611yescharacteristic
1043C2×C11C2×#55011yescharacteristic
1044D11—44no—
1045D11—42no—
1046D11—82no—
1047D11#242818yesdirect product factor
1048C24—111no—
1049C24—114no—
1050C24—118no—
1051C24—111no—
1052C24—112no—
1053C24—112no—
1054C24—224no—
1055C24—222no—
1056C24—222no—
1057C24—224no—
1058C24—222no—
1059C24—222no—
1060C24—224no—
1061C24—224no—
1062C24—224no—
1063C24—222no—
1064C24—224no—
1065C24—222no—
1066C24—224no—
1067C24—224no—
1068C24—224no—
1069C24—224no—
1070C24—224no—
1071C24—224no—
1072C24—224no—
1073C24C23×D1112yes—
1074C24C23×D1112yes—
1075C24C23×D1111yescharacteristic
1076C2×D4—24no—
1077C2×D4—24no—
1078C2×D4—24no—
1079C2×D4—24no—
1080C2×D4—24no—
1081C2×D4—22no—
1082C2×D4—24no—
1083C2×D4—24no—
1084C2×D4—22no—
1085C2×D4—22no—
1086C2×D4—22no—
1087C2×D4—24no—
1088C2×D4—22no—
1089C2×D4—42no—
1090C2×D4—42no—
1091C2×D4—42no—
1092C2×D4—42no—
1093C2×D4—118no—
1094C2×D4—114no—
1095C2×D4—224no—
1096C2×D4—224no—
1097C2×D4—224no—
1098C2×D4—224no—
1099C2×D4—224no—
1100C2×D4—2232no—
1101C2×D4—224no—
1102C2×D4—224no—
1103C2×D4—224no—
1104C2×D4—224no—
1105C2×D4—224no—
1106C2×D4—224no—
1107C2×D4—224no—
1108C2×D4—224no—
1109C2×D4—224no—
1110C2×D4—224no—
1111C2×D4—224no—
1112C2×D4—224no—
1113C2×D4—224no—
1114C2×D4—224no—
1115C2×D4—224no—
1116C2×D4—224no—
1117C2×D4—224no—
1118C2×D4—224no—
1119C2×D4—224no—
1120C2×D4—224no—
1121C2×D4—224no—
1122C2×D4—222no—
1123C2×D4—224no—
1124C2×D4—224no—
1125C2×D4—222no—
1126C2×D4—222no—
1127C2×D4—222no—
1128C2×D4—224no—
1129C2×D4—222no—
1130C2×D4—442no—
1131C2×D4—442no—
1132C2×D4—442no—
1133C2×D4—442no—
1134C2×D4—4416no—
1135C2×D4—4432no—
1136C2×D4—4432no—
1137C2×D4—4432no—
1138C2×D4—442no—
1139C2×D4—442no—
1140C2×D4—442no—
1141C2×D4—442no—
1142C2×D4—442no—
1143C2×D4—442no—
1144C2×D4—442no—
1145C2×D4—442no—
1146C2×D4—4432no—
1147C2×D4D4×D1114yescomplemented
1148C22×C4—24no—
1149C22×C4—24no—
1150C22×C4—22no—
1151C22×C4—22no—
1152C22×C4—22no—
1153C22×C4—42no—
1154C22×C4—111no—
1155C22×C4—114no—
1156C22×C4—114no—
1157C22×C4—114no—
1158C22×C4—111no—
1159C22×C4—111no—
1160C22×C4—111no—
1161C22×C4—112no—
1162C22×C4—114no—
1163C22×C4—114no—
1164C22×C4—118no—
1165C22×C4—114no—
1166C22×C4—111no—
1167C22×C4—111no—
1168C22×C4—112no—
1169C22×C4—224no—
1170C22×C4—224no—
1171C22×C4—222no—
1172C22×C4—222no—
1173C22×C4—222no—
1174C22×C4—222no—
1175C22×C4—222no—
1176C22×C4—222no—
1177C22×C4—224no—
1178C22×C4—222no—
1179C22×C4—224no—
1180C22×C4—222no—
1181C22×C4—222no—
1182C22×C4—222no—
1183C22×C4—222no—
1184C22×C4—222no—
1185C22×C4—224no—
1186C22×C4—224no—
1187C22×C4—222no—
1188C22×C4—222no—
1189C22×C4—224no—
1190C22×C4—222no—
1191C22×C4—224no—
1192C22×C4—222no—
1193C22×C4—222no—
1194C22×C4—224no—
1195C22×C4—222no—
1196C22×C4—224no—
1197C22×C4—224no—
1198C22×C4—222no—
1199C22×C4—222no—
1200C22×C4—222no—
1201C22×C4—442no—
1202C22×C4—442no—
1203C22×C4—4416no—
1204C22×C4—4432no—
1205C22×C4—442no—
1206C22×C4C23×D1111yescharacteristic
1207C22×C4C23×D1111yescharacteristic
1208C22×C4C23×D1112yes—
1209C22×C4C23×D1111yescharacteristic
1210C22×C4C23×D1111yescharacteristic
1211C22×C4C23×D1112yes—
1212C22×C4C23×D1111yescharacteristic
1213C22×C4C23×D1111yescharacteristic
1214C4⋊C4—24no—
1215C4⋊C4—22no—
1216C4⋊C4—118no—
1217C4⋊C4—114no—
1218C4⋊C4—224no—
1219C4⋊C4—224no—
1220C4⋊C4—224no—
1221C4⋊C4—224no—
1222C4⋊C4—222no—
1223C4⋊C4D4×D1114yescomplemented
1224C22⋊C4—24no—
1225C22⋊C4—24no—
1226C22⋊C4—24no—
1227C22⋊C4—24no—
1228C22⋊C4—22no—
1229C22⋊C4—42no—
1230C22⋊C4—114no—
1231C22⋊C4—114no—
1232C22⋊C4—114no—
1233C22⋊C4—224no—
1234C22⋊C4—224no—
1235C22⋊C4—224no—
1236C22⋊C4—222no—
1237C22⋊C4—224no—
1238C22⋊C4—224no—
1239C22⋊C4—224no—
1240C22⋊C4—224no—
1241C22⋊C4—224no—
1242C22⋊C4—222no—
1243C22⋊C4—224no—
1244C22⋊C4—224no—
1245C22⋊C4—224no—
1246C22⋊C4—224no—
1247C22⋊C4—222no—
1248C22⋊C4—442no—
1249C22⋊C4—442no—
1250C22⋊C4—442no—
1251C22⋊C4D4×D1114yescomplemented
1252C42—22no—
1253C42—22no—
1254C42—222no—
1255C42—222no—
1256C42—222no—
1257C42—222no—
1258C42—222no—
1259C42—222no—
1260C11C2×#242811yescharacteristic, complemented, Sylow
1261C23—22no—
1262C23—22no—
1263C23—21no—
1264C23—21no—
1265C23—21no—
1266C23—21no—
1267C23—22no—
1268C23—22no—
1269C23—22no—
1270C23—21no—
1271C23—22no—
1272C23—21no—
1273C23—22no—
1274C23—22no—
1275C23—22no—
1276C23—22no—
1277C23—22no—
1278C23—22no—
1279C23—22no—
1280C23—112no—
1281C23—112no—
1282C23—112no—
1283C23—112no—
1284C23—112no—
1285C23—112no—
1286C23—112no—
1287C23—112no—
1288C23—114no—
1289C23—2216no—
1290C23—228no—
1291C23—2216no—
1292C23—228no—
1293C23—2216no—
1294C23—228no—
1295C23—222no—
1296C23—222no—
1297C23—221no—
1298C23—221no—
1299C23—221no—
1300C23—221no—
1301C23—222no—
1302C23—222no—
1303C23—222no—
1304C23—221no—
1305C23—222no—
1306C23—221no—
1307C23—222no—
1308C23—222no—
1309C23—222no—
1310C23—222no—
1311C23—222no—
1312C23—222no—
1313C23—222no—
1314C23—448no—
1315C23—444no—
1316C23—448no—
1317C23—444no—
1318C23—448no—
1319C23—444no—
1320C23—448no—
1321C23—444no—
1322C23—448no—
1323C23—448no—
1324C23—448no—
1325C23—448no—
1326C23—448no—
1327C23—448no—
1328C23—448no—
1329C23C2×D4×D1114yes—
1330C23C2×D4×D1112yes—
1331C23C24×D1111yescharacteristic
1332D4—28no—
1333D4—48no—
1334D4—48no—
1335D4—48no—
1336D4—48no—
1337D4—44no—
1338D4—2216no—
1339D4—228no—
1340D4—448no—
1341D4—448no—
1342D4—448no—
1343D4—448no—
1344D4—448no—
1345D4—448no—
1346D4—448no—
1347D4—448no—
1348D4—448no—
1349D4—448no—
1350D4—448no—
1351D4—448no—
1352D4—448no—
1353D4—444no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—22no—
1358C2×C4—21no—
1359C2×C4—22no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—22no—
1366C2×C4—22no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—22no—
1371C2×C4—48no—
1372C2×C4—44no—
1373C2×C4—112no—
1374C2×C4—112no—
1375C2×C4—112no—
1376C2×C4—1116no—
1377C2×C4—112no—
1378C2×C4—112no—
1379C2×C4—114no—
1380C2×C4—112no—
1381C2×C4—228no—
1382C2×C4—2216no—
1383C2×C4—228no—
1384C2×C4—228no—
1385C2×C4—221no—
1386C2×C4—221no—
1387C2×C4—221no—
1388C2×C4—222no—
1389C2×C4—221no—
1390C2×C4—222no—
1391C2×C4—221no—
1392C2×C4—221no—
1393C2×C4—221no—
1394C2×C4—221no—
1395C2×C4—221no—
1396C2×C4—222no—
1397C2×C4—222no—
1398C2×C4—221no—
1399C2×C4—221no—
1400C2×C4—221no—
1401C2×C4—222no—
1402C2×C4—448no—
1403C2×C4—448no—
1404C2×C4—444no—
1405C2×C4—444no—
1406C2×C4—448no—
1407C2×C4—444no—
1408C2×C4—444no—
1409C2×C4—448no—
1410C2×C4—444no—
1411C2×C4C2×D4×D1112yes—
1412C2×C4C2×D4×D1114yes—
1413C2×C4C2×D4×D1112yes—
1414C2×C4C2×D4×D1112yes—
1415C2×C4C2×D4×D1112yes—
1416C2×C4#41×D1112yes—
1417C2×C4#41×D1112yes—
1418C22—22no—
1419C22—22no—
1420C22—24no—
1421C22—22no—
1422C22—24no—
1423C22—24no—
1424C22—42no—
1425C22—41no—
1426C22—42no—
1427C22—42no—
1428C22—41no—
1429C22—41no—
1430C22—42no—
1431C22—41no—
1432C22—42no—
1433C22—42no—
1434C22—42no—
1435C22—42no—
1436C22—42no—
1437C22—42no—
1438C22—42no—
1439C22—114no—
1440C22—114no—
1441C22—114no—
1442C22—114no—
1443C22—114no—
1444C22—114no—
1445C22—114no—
1446C22—222no—
1447C22—222no—
1448C22—224no—
1449C22—222no—
1450C22—224no—
1451C22—224no—
1452C22—4432no—
1453C22—4416no—
1454C22—442no—
1455C22—441no—
1456C22—442no—
1457C22—442no—
1458C22—441no—
1459C22—441no—
1460C22—442no—
1461C22—441no—
1462C22—442no—
1463C22—442no—
1464C22—442no—
1465C22—442no—
1466C22—442no—
1467C22—442no—
1468C22—442no—
1469C22—8816no—
1470C22C22×D4×D1111yescharacteristic
1471C22C22×D4×D1111yescharacteristic
1472C22C22×D4×D1111yescharacteristic
1473C22C2×#41×D1111yescharacteristic
1474C22C2×#41×D1111yescharacteristic
1475C22D11×H(5,𝔽2)11yescharacteristic
1476C22D11×H(5,𝔽2)11yescharacteristic
1477C4—22no—
1478C4—24no—
1479C4—22no—
1480C4—22no—
1481C4—42no—
1482C4—41no—
1483C4—41no—
1484C4—114no—
1485C4—222no—
1486C4—224no—
1487C4—222no—
1488C4—222no—
1489C4—442no—
1490C4—441no—
1491C4—441no—
1492C4D11×#12114yescomplemented
1493C2—42no—
1494C2—44no—
1495C2—82no—
1496C2—118no—
1497C2—442no—
1498C2—444no—
1499C2—882no—
1500C2C2×D11×#12111yescharacteristic
1501C2D11×#53211yescharacteristic
1502C2D11×#54011yescharacteristic
1503C2D42×D1111yescharacteristic
1504C2D42×D1111yescharacteristic
1505C2D11×#54611yescharacteristic
1506C2D11×#55011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2428C2
hypercenter#2428D11
hypocenterC11C2×#2428
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2428

Complements

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

NH ≅ G/Ntype
1. C2×D11×#127C2semidirect
2. C2×D11×#121C2semidirect
3. C2×D11×#121C2semidirect
4. C2×D11×#121C2semidirect
5. C2×C4×D4×D11C2semidirect
6. #13072207C2semidirect
7. #13072206C2semidirect
8. #13072205C2semidirect
9. #13072204C2semidirect
10. #13072203C2semidirect
11. #13072202C2semidirect
12. #13072201C2semidirect
13. #13072200C2semidirect
14. #13072199C2semidirect
15. #13072198C2semidirect
16. #13072197C2semidirect
17. D11×#394C2semidirect
18. D11×#392C2semidirect
19. D11×#390C2semidirect
20. D11×#389C2semidirect
21. D11×#386C2semidirect
22. C4×C22⋊C4×D11C2semidirect
23. C11×#2428C2semidirect
32. C2×C11×#127C22semidirect
33. C2×C11×#121C22semidirect
34. C2×C11×#121C22semidirect
35. C2×C11×#121C22semidirect
36. C2×C4×D4×C11C22semidirect
37. C2×#66993C22semidirect
38. C2×#66993C22semidirect
39. C2×#66993C22semidirect
40. C2×#66993C22semidirect
41. C2×#66992C22semidirect
42. C2×#66992C22semidirect
43. C2×#66992C22semidirect
44. C2×#66992C22semidirect
45. C2×#66991C22semidirect
46. C2×#66991C22semidirect
47. C2×#66991C22semidirect
48. C2×D4×Dic11C22semidirect
49. C2×#66983C22semidirect
50. C2×#66983C22semidirect
51. C2×#66983C22semidirect
52. C2×C4×C22⋊D11C22semidirect
58. C2×#66948C22semidirect
59. C2×#66948C22semidirect
60. C2×#66948C22semidirect
61. C2×#66946C22semidirect
65. C2×#66937C22semidirect
66. C2×#66937C22semidirect
67. C2×#66937C22semidirect
68. C2×#66937C22semidirect
69. C2×(C22⋊D11)⋊C4C22semidirect
77. C2×#66927C22semidirect
78. C2×C4×D44C22semidirect
81. C11×#394C22semidirect
82. C11×#392C22semidirect
83. C11×#390C22semidirect
84. C11×#389C22semidirect
85. C11×#386C22semidirect
86. C4×C11×C22⋊C4C22semidirect
87. #10622836C22semidirect
88. #10622836C22semidirect
89. #10622836C22semidirect
90. #10622835C22semidirect
91. #10622834C22semidirect
92. #10622833C22semidirect
93. #10622826C22semidirect
94. C4×C22⋊Dic11C22semidirect
95. #10622604C22semidirect
96. #10622601C22semidirect
97. #10622598C22semidirect
98. #10622586C22semidirect
99. #10622585C22semidirect
100. #10622574C22semidirect
101. #10622574C22semidirect
102. #10622573C22semidirect
103. #10622573C22semidirect
104. #10622573C22semidirect
105. #10622572C22semidirect
106. #10622572C22semidirect
107. #10622571C22semidirect
108. #10622570C22semidirect
109. #10622570C22semidirect
110. #10622569C22semidirect
111. #10622569C22semidirect
112. C22⋊C4×Dic11C22semidirect
113. C22⋊C4×Dic11C22semidirect
114. #10622552C22semidirect
115. C4×(C2×D11)⋊C4C22semidirect
116. C4×(C2×D11)⋊C4C22semidirect
117. #10622541C22semidirect
118. #10622285C22semidirect
119. #10622284C22semidirect
120. #10622279C22semidirect
121. #10622279C22semidirect
122. #10622278C22semidirect
123. #10622278C22semidirect
127. #10622260C22semidirect
168. C2×D4×D11D4semidirect
266. C4⋊C4×D11D4semidirect
278. C22⋊C4×D11D4semidirect
341. C2×D4×C11C2×D4semidirect
385. C2×C22⋊D11C2×D4semidirect
423. C2×D44C2×D4semidirect
464. C11×C4⋊C4C2×D4semidirect
471. C11×C22⋊C4C2×D4semidirect
480. C22⋊Dic11C2×D4semidirect
493. (C2×D11)⋊C4C2×D4semidirect
494. (C2×D11)⋊C4C2×D4semidirect
497. C4⋊Dic11C2×D4semidirect
501. Dic11⋊C4C2×D4semidirect
524. #2428D11direct (N × H)
687. C4×D11#121semidirect
702. C2×#127C2×D11semidirect
723. C2×#121C2×D11semidirect
724. C2×#121C2×D11semidirect
725. C2×#121C2×D11semidirect
732. C2×C4×D4C2×D11semidirect
752. #394C2×D11semidirect
760. #392C2×D11semidirect
766. #390C2×D11semidirect
772. #389C2×D11semidirect
780. #386C2×D11semidirect
788. C4×C22⋊C4C2×D11semidirect
858. C4×C11C2×#121semidirect
866. Dic11C2×#121semidirect
1047. D11#2428direct (N × H)
1147. C2×D4D4×D11semidirect
1223. C4⋊C4D4×D11semidirect
1251. C22⋊C4D4×D11semidirect
1260. C11C2×#2428semidirect
1492. C4D11×#121semidirect

Maximal subgroups

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

subgroupindex
C2×D11×#1272
C2×D11×#1212
C2×C4×D4×D112
#130722072
#130722062
#130722052
#130722042
#130722032
#130722022
#130722012
#130722002
#130721992
#130721982
#130721972
D11×#3942
D11×#3922
D11×#3902
D11×#3892
D11×#3862
C4×C22⋊C4×D112
C11×#24282
C2×#242811