Finite Group Databasebeta

← #14922920

Subgroups — #14922920

Order 2816.

2428 conjugacy classes of subgroups.

The subgroup lattice has 1558 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623131C211yesmaximal, characteristic, complemented
2C2×#10623180C211yesmaximal, characteristic, complemented
3#13073323C211yesmaximal, characteristic, complemented
4#13073315C211yesmaximal, characteristic, complemented
5#13073295C211yesmaximal, characteristic, complemented
6#13073287C211yesmaximal, characteristic, complemented
7#13073195C211yesmaximal, characteristic, complemented
8#13073125C211yesmaximal, characteristic, complemented
9#13073085C211yesmaximal, characteristic, complemented
10#13073031C211yesmaximal, characteristic, complemented
11#13072972C211yesmaximal, characteristic, complemented
12#13072944C211yesmaximal, characteristic, complemented
13#13072942C211yesmaximal, characteristic, complemented
14#13072921C211yesmaximal, characteristic, complemented
15#13072317C211yesmaximal, characteristic, complemented
16#13072161C211yesmaximal, characteristic, complemented
17#13072053C211yesmaximal, characteristic
18#13071893C211yesmaximal, characteristic, complemented
19#13071891C211yesmaximal, characteristic, complemented
20#13071874C211yesmaximal, characteristic, complemented
21#13071872C211yesmaximal, characteristic, complemented
22#13071187C211yesmaximal, characteristic, complemented
23#123×Dic11C211yesmaximal, characteristic, complemented
24#13071135C211yesmaximal, characteristic, complemented
25#13071126C211yesmaximal, characteristic, complemented
26#13071126C211yesmaximal, characteristic, complemented
27#13071076C211yesmaximal, characteristic, complemented
28#13071018C211yesmaximal, characteristic, complemented
29C4×D4×Dic11C211yesmaximal, characteristic, complemented
30C2×#10622262C211yesmaximal, characteristic, complemented
31C11×#2425C211yesmaximal, characteristic, complemented
32C2×C11×#123C2211yescharacteristic
33C2×C11×#123C2211yescharacteristic
34C2×C11×#121C2211yescharacteristic
35C2×C4×D4×C11C2211yescharacteristic
36C2×#66992C2211yescharacteristic
37C2×#66992C2211yescharacteristic
38C2×#66992C2211yescharacteristic
39C2×#66989C2211yescharacteristic
40C2×#66988C2211yescharacteristic
41C2×#66988C2211yescharacteristic
42C2×D4×Dic11C2211yescharacteristic
43C2×D4×Dic11C2211yescharacteristic
44C2×D4×Dic11C2211yescharacteristic
45C2×D4×Dic11C2211yescharacteristic
46C2×#66982C2211yescharacteristic
47C2×#66977C2211yescharacteristic
48C22×Dic11⋊C4C2211yescharacteristic
49C22×Dic11⋊C4C2211yescharacteristic
50C22×C4×Dic11C2211yescharacteristic
51C22×C4×Dic11C2211yescharacteristic
52C22×C4×Dic11C2211yescharacteristic
53C22×C4×Dic11C2211yescharacteristic
54#10623180—28no—
55#10623131—28no—
56C2×#66951C2211yescharacteristic
57C2×#66945C2211yescharacteristic
58C2×#66943C2211yescharacteristic
59C2×#66942C2211yescharacteristic
60C2×#66941C2211yescharacteristic
61C2×#66940C2211yescharacteristic
62C2×#66940C2211yescharacteristic
63C2×#66939C2211yescharacteristic
64C2×#66938C2211yescharacteristic
65C2×(C22⋊D11)⋊C4C2211yescharacteristic
66C2×(C22⋊D11)⋊C4C2211yescharacteristic
67C2×(C22⋊D11)⋊C4C2211yescharacteristic
68C2×#66932C2211yescharacteristic
69C2×#66932C2211yescharacteristic
70C2×#66932C2211yescharacteristic
71C2×#66931C2211yescharacteristic
72C2×#66930C2211yescharacteristic
73C2×#66930C2211yescharacteristic
74C2×#66930C2211yescharacteristic
75C11×#398C2211yescharacteristic
76C11×#397C2211yescharacteristic
77C11×#396C2211yescharacteristic
78C11×#394C2211yescharacteristic
79C11×#389C2211yescharacteristic
80C11×#388C2211yescharacteristic
81C11×#386C2211yescharacteristic
82C11×#386C2211yescharacteristic
83C11×#385C2211yescharacteristic
84C11×#380C2211yescharacteristic
85C2×C11×#95C2211yescharacteristic
86#10622835C2211yescharacteristic
87#10622833C2211yescharacteristic
88#10622826C2211yescharacteristic
89#10622826C2211yescharacteristic
90#10622826C2211yescharacteristic
91#10622825C2211yescharacteristic
92#10622824C2211yescharacteristic
93C4×C22⋊Dic11C2211yescharacteristic
94C4×C22⋊Dic11C2211yescharacteristic
95C2×C11⋊#95C2211yescharacteristic
96#10622607C2211yescharacteristic
97#10622607C2211yescharacteristic
98#10622605C2211yescharacteristic
99#10622605C2211yescharacteristic
100#10622603C2211yescharacteristic
101#10622603C2211yescharacteristic
102#10622597C2211yescharacteristic
103#10622597C2211yescharacteristic
104#10622597C2211yescharacteristic
105#10622596C2211yescharacteristic
106#10622594C2211yescharacteristic
107#10622594C2211yescharacteristic
108#10622592C2211yescharacteristic
109#10622589C2211yescharacteristic
110#10622589C2211yescharacteristic
111#10622589C2211yescharacteristic
112C4⋊C4×Dic11C2211yescharacteristic
113C4⋊C4×Dic11C2211yescharacteristic
114C4⋊C4×Dic11C2211yescharacteristic
115C4⋊C4×Dic11C2211yescharacteristic
116C4⋊C4×Dic11C2211yescharacteristic
117C4⋊C4×Dic11C2211yescharacteristic
118#10622585C2211yescharacteristic
119#10622585C2211yescharacteristic
120#10622585C2211yescharacteristic
121#10622574C2211yescharacteristic
122#10622572C2211yescharacteristic
123#10622570C2211yescharacteristic
124#10622570C2211yescharacteristic
125#10622570C2211yescharacteristic
126#10622570C2211yescharacteristic
127#10622566C2211yescharacteristic
128#10622565C2211yescharacteristic
129#10622565C2211yescharacteristic
130#10622565C2211yescharacteristic
131#10622564C2211yescharacteristic
132#10622564C2211yescharacteristic
133#10622564C2211yescharacteristic
134#10622563C2211yescharacteristic
135#10622562C2211yescharacteristic
136#10622562C2211yescharacteristic
137#10622561C2211yescharacteristic
138#10622560C2211yescharacteristic
139#10622557C2211yescharacteristic
140#10622557C2211yescharacteristic
141#10622556C2211yescharacteristic
142#10622555C2211yescharacteristic
143#10622555C2211yescharacteristic
144#10622555C2211yescharacteristic
145#10622555C2211yescharacteristic
146C22⋊C4×Dic11C2211yescharacteristic
147C22⋊C4×Dic11C2211yescharacteristic
148C22⋊C4×Dic11C2211yescharacteristic
149C22⋊C4×Dic11C2211yescharacteristic
150C22⋊C4×Dic11C2211yescharacteristic
151C22⋊C4×Dic11C2211yescharacteristic
152C22⋊C4×Dic11C2211yescharacteristic
153#10622553C2211yescharacteristic
154C4×C4⋊Dic11C2211yescharacteristic
155C42×Dic11C2211yescharacteristic
156#10622541C2211yescharacteristic
157#10622288C2211yescharacteristic
158#10622286C2211yescharacteristic
159#10622283C2211yescharacteristic
160#10622283C2211yescharacteristic
161#10622282C2211yescharacteristic
162#10622279C2211yescharacteristic
163#10622279C2211yescharacteristic
164#10622279C2211yescharacteristic
165#10622273C2211yescharacteristic
166#10622273C2211yescharacteristic
167#10622271C2211yescharacteristic
168#10622271C2211yescharacteristic
169#10622270C2211yescharacteristic
170#10622269C2211yescharacteristic
171#10622267C2211yescharacteristic
172#10622267C2211yescharacteristic
173#10622263C2211yescharacteristic
174#10622263C2211yescharacteristic
175#10622262C2211yescharacteristic
176#10622262C2211yescharacteristic
177#10622262C2211yescharacteristic
178#10622262C2211yescharacteristic
179#10622262C2211yescharacteristic
180#10622262C2211yescharacteristic
181#10622262C2211yescharacteristic
182#10622262C2211yescharacteristic
183#10622262C2211yescharacteristic
184#10622260C2211yescharacteristic
185#10622260C2211yescharacteristic
186#10622260C2211yescharacteristic
187#10622259C2211yescharacteristic
188#10622259C2211yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C23×C4×C11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C23×Dic11C2311yescharacteristic
200C23×Dic11C2311yescharacteristic
201C23×Dic11C2311yescharacteristic
202C23×Dic11C2311yescharacteristic
203C23×Dic11C2311yescharacteristic
204C23×Dic11C2311yescharacteristic
205C23×Dic11C2311yescharacteristic
206C22×C4×D11C2311yescharacteristic
207C22×Dic22C2311yescharacteristic
208C22×Dic22C2311yescharacteristic
209C11×#123—24no—
210C11×#123—24no—
211C11×#121—24no—
212C4×D4×C11—24no—
213C2×C11×C4⋊C4C2311yescharacteristic
214C2×C11×C4⋊C4C2311yescharacteristic
215C2×C11×C4⋊C4C2311yescharacteristic
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C4⋊C4C2311yescharacteristic
219C2×C11×C4⋊C4C2311yescharacteristic
220C2×C11×C4⋊C4C2311yescharacteristic
221C2×C11×C22⋊C4C2311yescharacteristic
222C2×C11×C22⋊C4C2311yescharacteristic
223C2×C11×C22⋊C4C2311yescharacteristic
224C2×C11×C22⋊C4C2311yescharacteristic
225C2×C11×C22⋊C4C2311yescharacteristic
226C2×C11×C22⋊C4C2311yescharacteristic
227C2×C11×C22⋊C4C2311yescharacteristic
228C2×C11×C22⋊C4C2311yescharacteristic
229C2×C11×C22⋊C4C2311yescharacteristic
230C2×C11×C22⋊C4C2311yescharacteristic
231C2×C11×C22⋊C4C2311yescharacteristic
232C2×C42×C11C2311yescharacteristic
233C2×C22⋊Dic11C2311yescharacteristic
234C2×C22⋊Dic11C2311yescharacteristic
235C2×C22⋊Dic11C2311yescharacteristic
236C2×C22⋊Dic11C2311yescharacteristic
237C2×C22⋊Dic11C2311yescharacteristic
238C2×C22⋊Dic11C2311yescharacteristic
239C2×C22⋊Dic11C2311yescharacteristic
240C2×C22⋊Dic11C2311yescharacteristic
241C2×C22⋊Dic11C2311yescharacteristic
242C2×C22⋊Dic11C2311yescharacteristic
243C2×C22⋊Dic11C2311yescharacteristic
244C2×C22⋊Dic11C2311yescharacteristic
245C2×C22⋊Dic11C2311yescharacteristic
246C2×C22⋊Dic11C2311yescharacteristic
247#66992—24no—
248#66992—24no—
249#66992—24no—
250#66989—24no—
251#66988—24no—
252#66988—24no—
253D4×Dic11—24no—
254D4×Dic11—24no—
255D4×Dic11—24no—
256D4×Dic11D418yescomplemented
257#66982—24no—
258C2×(C2×D11)⋊C4C2311yescharacteristic
259C2×(C2×D11)⋊C4C2311yescharacteristic
260C2×(C2×D11)⋊C4C2311yescharacteristic
261C2×(C2×D11)⋊C4C2311yescharacteristic
262C2×(C2×D11)⋊C4C2311yescharacteristic
263C2×(C2×D11)⋊C4C2311yescharacteristic
264C2×(C2×D11)⋊C4C2311yescharacteristic
265C2×(C2×D11)⋊C4C2311yescharacteristic
266C2×(C2×D11)⋊C4C2311yescharacteristic
267C2×(C2×D11)⋊C4C2311yescharacteristic
268C2×(C2×D11)⋊C4C2311yescharacteristic
269C2×C4⋊Dic11C2311yescharacteristic
270C2×C4⋊Dic11C2311yescharacteristic
271C2×C4⋊Dic11C2311yescharacteristic
272C2×C4⋊Dic11C2311yescharacteristic
273C2×C4⋊Dic11C2311yescharacteristic
274C2×C4⋊Dic11C2311yescharacteristic
275C2×C4⋊Dic11C2311yescharacteristic
276C2×C4⋊Dic11C2311yescharacteristic
277C2×C4⋊Dic11C2311yescharacteristic
278#66977—24no—
279C2×Dic11⋊C4—24no—
280C2×Dic11⋊C4—24no—
281C2×Dic11⋊C4C2311yescharacteristic
282C2×Dic11⋊C4C2311yescharacteristic
283C2×Dic11⋊C4C2311yescharacteristic
284C2×Dic11⋊C4C2311yescharacteristic
285C2×Dic11⋊C4C2311yescharacteristic
286C2×Dic11⋊C4C2311yescharacteristic
287C2×Dic11⋊C4C2311yescharacteristic
288C2×Dic11⋊C4C2311yescharacteristic
289C2×Dic11⋊C4C2311yescharacteristic
290C2×Dic11⋊C4C2311yescharacteristic
291C2×Dic11⋊C4C2311yescharacteristic
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×Dic11—24no—
305C2×C4×Dic11—24no—
306C2×C4×Dic11—24no—
307C2×C4×Dic11—24no—
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
318C2×C4×Dic11C2311yescharacteristic
319C2×C4×Dic11C2311yescharacteristic
320C2×C4×Dic11C2311yescharacteristic
321C2×C4×Dic11C2311yescharacteristic
322C2×C4×Dic11C2311yescharacteristic
323C2×C4×Dic11C2311yescharacteristic
324C2×C4×Dic11C2311yescharacteristic
325C2×C4×Dic11C2311yescharacteristic
326C2×C4×Dic11C2311yescharacteristic
327C2×C4×Dic11C2311yescharacteristic
328C2×C4×Dic11C2311yescharacteristic
329C2×C4×Dic11C2311yescharacteristic
330#66951—24no—
331#66945—24no—
332#66943—24no—
333#66942—24no—
334#66941—24no—
335#66940—24no—
336#66940—24no—
337#66939—24no—
338#66938—24no—
339(C22⋊D11)⋊C4—24no—
340(C22⋊D11)⋊C4—24no—
341(C22⋊D11)⋊C4—24no—
342#66932—24no—
343#66932—24no—
344#66932—24no—
345#66931—24no—
346#66930—24no—
347#66930—24no—
348#66930—24no—
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
385#34763—111nomaximal, Sylow
386C24×C11C2411yescharacteristic
387C24×C11C2411yescharacteristic
388C24×C11C2411yescharacteristic
389C23×D11C2411yescharacteristic
390C2×D4×C11—22no—
391C2×D4×C11—22no—
392C2×D4×C11—22no—
393C2×D4×C11—22no—
394C2×D4×C11—22no—
395C2×D4×C11—22no—
396C2×D4×C11—22no—
397C2×D4×C11—41no—
398C2×D4×C11C2×D414yes—
399C22×C4×C11—22no—
400C22×C4×C11—22no—
401C22×C4×C11—22no—
402C22×C4×C11—22no—
403C22×C4×C11—22no—
404C22×C4×C11—22no—
405C22×C4×C11—22no—
406C22×C4×C11—22no—
407C22×C4×C11—22no—
408C22×C4×C11—41no—
409C22×C4×C11—41no—
410C22×C4×C11—41no—
411C22×C4×C11C2411yescharacteristic
412C22×C4×C11C2411yescharacteristic
413C22×C4×C11C2411yescharacteristic
414C22×C4×C11C2411yescharacteristic
415C22×C4×C11C2411yescharacteristic
416C22×C4×C11C2411yescharacteristic
417C22×C4×C11C2411yescharacteristic
418C22×C4×C11C2411yescharacteristic
419C22×C4×C11C2411yescharacteristic
420C22×C4×C11C2411yescharacteristic
421C22×C4×C11C2411yescharacteristic
422C22×C4×C11C2411yescharacteristic
423C2×C22⋊D11—22no—
424C2×C22⋊D11—22no—
425C2×C22⋊D11—22no—
426C2×C22⋊D11—22no—
427C2×C22⋊D11—22no—
428C2×C22⋊D11—22no—
429C2×C22⋊D11—22no—
430C2×C22⋊D11—22no—
431C2×C22⋊D11—41no—
432C22×Dic11—22no—
433C22×Dic11—22no—
434C22×Dic11—22no—
435C22×Dic11—22no—
436C22×Dic11—22no—
437C22×Dic11—22no—
438C22×Dic11—22no—
439C22×Dic11—22no—
440C22×Dic11—22no—
441C22×Dic11—22no—
442C22×Dic11—22no—
443C22×Dic11—22no—
444C22×Dic11—22no—
445C22×Dic11—22no—
446C22×Dic11—22no—
447C22×Dic11—22no—
448C22×Dic11—22no—
449C22×Dic11—41no—
450C22×Dic11C2×D414yes—
451C22×Dic11C2×D414yes—
452C22×Dic11#4114yes—
453C22×Dic11C2411yescharacteristic
454C22×Dic11C2411yescharacteristic
455C22×Dic11C2411yescharacteristic
456C22×Dic11C2411yescharacteristic
457C22×Dic11C2411yescharacteristic
458C22×Dic11C2411yescharacteristic
459C22×Dic11C2411yescharacteristic
460C22×Dic11C2411yescharacteristic
461C22×Dic11C2411yescharacteristic
462C22×Dic11C2411yescharacteristic
463C22×Dic11C2411yescharacteristic
464C22×Dic11C2411yescharacteristic
465C22×Dic11C2411yescharacteristic
466C22×Dic11C2411yescharacteristic
467C22×Dic11C2411yescharacteristic
468C2×C4×D11—22no—
469C2×C4×D11—22no—
470C2×C4×D11—22no—
471C2×Dic22—22no—
472C2×Dic22—22no—
473C2×Dic22—22no—
474C2×Dic22—22no—
475C2×Dic22—41no—
476C2×Dic22—41no—
477C11×C4⋊C4—22no—
478C11×C4⋊C4—22no—
479C11×C4⋊C4—22no—
480C11×C4⋊C4—22no—
481C11×C4⋊C4—22no—
482C11×C4⋊C4—22no—
483C11×C4⋊C4—22no—
484C11×C4⋊C4—41no—
485C11×C22⋊C4—22no—
486C11×C22⋊C4—22no—
487C11×C22⋊C4—22no—
488C11×C22⋊C4—22no—
489C11×C22⋊C4—22no—
490C11×C22⋊C4—22no—
491C11×C22⋊C4—22no—
492C11×C22⋊C4—22no—
493C11×C22⋊C4—22no—
494C11×C22⋊C4—41no—
495C11×C22⋊C4#4114yes—
496C42×C11—22no—
497C22⋊Dic11—22no—
498C22⋊Dic11—22no—
499C22⋊Dic11—22no—
500C22⋊Dic11—22no—
501C22⋊Dic11—22no—
502C22⋊Dic11—22no—
503C22⋊Dic11—22no—
504C22⋊Dic11—22no—
505C22⋊Dic11—22no—
506C22⋊Dic11—22no—
507C22⋊Dic11—22no—
508C22⋊Dic11—41no—
509C22⋊Dic11C2×D414yes—
510C22⋊Dic11C2×D414yes—
511(C2×D11)⋊C4—22no—
512(C2×D11)⋊C4—22no—
513(C2×D11)⋊C4—22no—
514(C2×D11)⋊C4—22no—
515(C2×D11)⋊C4—22no—
516(C2×D11)⋊C4—22no—
517(C2×D11)⋊C4—22no—
518(C2×D11)⋊C4—22no—
519(C2×D11)⋊C4—22no—
520(C2×D11)⋊C4—41no—
521(C2×D11)⋊C4—41no—
522C4⋊Dic11—22no—
523C4⋊Dic11—22no—
524C4⋊Dic11—22no—
525C4⋊Dic11—22no—
526C4⋊Dic11—22no—
527C4⋊Dic11—22no—
528C4⋊Dic11—22no—
529C4⋊Dic11—41no—
530C4⋊Dic11C2×D414yes—
531Dic11⋊C4—22no—
532Dic11⋊C4—22no—
533Dic11⋊C4—22no—
534Dic11⋊C4—22no—
535Dic11⋊C4—22no—
536Dic11⋊C4—22no—
537Dic11⋊C4—22no—
538Dic11⋊C4—22no—
539Dic11⋊C4—22no—
540Dic11⋊C4—22no—
541Dic11⋊C4—22no—
542Dic11⋊C4—22no—
543Dic11⋊C4—22no—
544Dic11⋊C4—22no—
545Dic11⋊C4—22no—
546Dic11⋊C4—22no—
547Dic11⋊C4—22no—
548Dic11⋊C4—22no—
549Dic11⋊C4—22no—
550Dic11⋊C4—22no—
551Dic11⋊C4—22no—
552Dic11⋊C4—22no—
553Dic11⋊C4#4114yes—
554C4×Dic11—22no—
555C4×Dic11—22no—
556C4×Dic11—22no—
557C4×Dic11—22no—
558C4×Dic11—22no—
559C4×Dic11—22no—
560C4×Dic11—22no—
561C4×Dic11—22no—
562C4×Dic11—22no—
563C4×Dic11—22no—
564C4×Dic11—22no—
565C4×Dic11—22no—
566C4×Dic11—22no—
567C4×Dic11—22no—
568C4×Dic11—22no—
569C4×Dic11—22no—
570C4×Dic11—22no—
571C4×Dic11—22no—
572C4×Dic11—22no—
573C4×Dic11—41no—
574C4×Dic11C2×D414yes—
575C4×Dic11#4114yes—
576C2×#529—111no—
577C2×#529—111no—
578#2521—111no—
579#2521—111no—
580#2519—111no—
581#2519—111no—
582#2512—111no—
583#2506—111no—
584#2501—111no—
585#2496—111no—
586#2491—111no—
587#2488—111no—
588#2488—111no—
589#2486—111no—
590#2440—111no—
591#2425—111no—
592#2425D1111yescharacteristic, complemented
593#2416—111no—
594#2396—111no—
595#2396—111no—
596#2395—111no—
597#2395—111no—
598C4×C4⋊Q8—111no—
599C4×#123—111no—
600C4×#123—111no—
601C4×#121—111no—
602C4×#121—111no—
603#2293—111no—
604#2285—111no—
605C42×D4—111no—
606C2×C4×C4⋊C4—111no—
607C23×C11—21no—
608C23×C11—21no—
609C23×C11—21no—
610C23×C11—21no—
611C23×C11—21no—
612C23×C11—21no—
613C23×C11—21no—
614C23×C11—21no—
615C23×C11—21no—
616C23×C11—21no—
617C23×C11—21no—
618C23×C11—21no—
619C23×C11—21no—
620C23×C11—21no—
621C23×C11—21no—
622C23×C11—21no—
623C23×C11—21no—
624C23×C11C22×D412yes—
625C23×C11C22×D412yes—
626C23×C11C2×#4112yes—
627C23×C11C2×#4112yes—
628C23×C11C2511yescharacteristic
629C22×D11—21no—
630C22×D11—21no—
631C22×D11—21no—
632C22×D11—21no—
633C22×D11—21no—
634C22×D11—21no—
635C22×D11—21no—
636D4×C11—28no—
637D4×C11—44no—
638D4×C11—44no—
639C2×C4×C11—21no—
640C2×C4×C11—21no—
641C2×C4×C11—21no—
642C2×C4×C11—21no—
643C2×C4×C11—21no—
644C2×C4×C11—21no—
645C2×C4×C11—21no—
646C2×C4×C11—21no—
647C2×C4×C11—21no—
648C2×C4×C11—21no—
649C2×C4×C11—21no—
650C2×C4×C11—21no—
651C2×C4×C11—21no—
652C2×C4×C11—21no—
653C2×C4×C11—21no—
654C2×C4×C11—21no—
655C2×C4×C11—21no—
656C2×C4×C11—21no—
657C2×C4×C11—21no—
658C2×C4×C11—21no—
659C2×C4×C11—21no—
660C2×C4×C11—21no—
661C2×C4×C11—21no—
662C2×C4×C11—21no—
663C2×C4×C11—21no—
664C2×C4×C11—21no—
665C2×C4×C11—21no—
666C2×C4×C11—21no—
667C2×C4×C11—21no—
668C2×C4×C11—21no—
669C2×C4×C11—21no—
670C2×C4×C11—44no—
671C2×C4×C11—44no—
672C2×C4×C11—44no—
673C2×C4×C11—44no—
674C2×C4×C11C22×D412yes—
675C2×C4×C11C2×#4112yes—
676C2×C4×C11C2×#4112yes—
677C2×C4×C11C2×#4112yes—
678C2×C4×C11C2×#4112yes—
679C22⋊D11—44no—
680C22⋊D11—44no—
681C22⋊D11—44no—
682C2×Dic11—21no—
683C2×Dic11—21no—
684C2×Dic11—21no—
685C2×Dic11—21no—
686C2×Dic11—21no—
687C2×Dic11—21no—
688C2×Dic11—21no—
689C2×Dic11—21no—
690C2×Dic11—21no—
691C2×Dic11—21no—
692C2×Dic11—28no—
693C2×Dic11—28no—
694C2×Dic11—28no—
695C2×Dic11—21no—
696C2×Dic11—21no—
697C2×Dic11—21no—
698C2×Dic11—21no—
699C2×Dic11—21no—
700C2×Dic11—21no—
701C2×Dic11—21no—
702C2×Dic11—21no—
703C2×Dic11—21no—
704C2×Dic11—21no—
705C2×Dic11—21no—
706C2×Dic11—21no—
707C2×Dic11—21no—
708C2×Dic11—21no—
709C2×Dic11—21no—
710C2×Dic11—21no—
711C2×Dic11—21no—
712C2×Dic11—21no—
713C2×Dic11—21no—
714C2×Dic11—21no—
715C2×Dic11—21no—
716C2×Dic11—21no—
717C2×Dic11—21no—
718C2×Dic11—21no—
719C2×Dic11—44no—
720C2×Dic11—44no—
721C2×Dic11—44no—
722C2×Dic11—44no—
723C2×Dic11C22×D412yes—
724C2×Dic11C22×D412yes—
725C2×Dic11C22×D412yes—
726C2×Dic11C22×D412yes—
727C2×Dic11C2×#4112yes—
728C2×Dic11C2×#4112yes—
729C2×Dic11C2×#4112yes—
730C2×Dic11C2×#4112yes—
731C2×Dic11C2×#4112yes—
732C2×Dic11C2×#4112yes—
733C2×Dic112−1+412yes—
734C4×D11—44no—
735Dic22—44no—
736Dic22—44no—
737C2×C4⋊Q8—111no—
738#529—228no—
739#529—228no—
740C2×#126—111no—
741C2×#126—111no—
742C2×#126—111no—
743C2×#126—111no—
744C2×#125—111no—
745C2×#125—111no—
746C2×#124—111no—
747C2×#124—111no—
748C2×#123—111no—
749C2×#123—111no—
750C2×#123—111no—
751C2×#123—111no—
752C2×#123C2×D1111yescharacteristic
753C2×#123C2×D1111yescharacteristic
754C2×C22⋊Q8—111no—
755C2×C22⋊Q8—111no—
756C2×#121—111no—
757C2×#121—111no—
758C2×#121—111no—
759C2×#121C2×D1111yescharacteristic
760C2×C4×Q8—111no—
761C2×C4×Q8—111no—
762C2×C4×D4—111no—
763C2×C4×D4—111no—
764C2×C4×D4—111no—
765C2×C4×D4—111no—
766C2×C4×D4—111no—
767C2×C4×D4—111no—
768C2×C4×D4—111no—
769C2×C4×D4C2×D1111yescharacteristic
770C2×#117—111no—
771C2×#117—111no—
772C2×#117—111no—
773C2×#117—111no—
774C22×C4⋊C4—111no—
775C22×C4⋊C4—111no—
776C22×C42—111no—
777C22×C42—111no—
778C22×C42—111no—
779C22×C42—111no—
780#400—111no—
781#400—111no—
782#400—111no—
783#400—111no—
784#399—111no—
785#399—111no—
786#399—111no—
787#399—111no—
788#398—111no—
789#398—111no—
790#398—111no—
791#398—111no—
792#398—111no—
793#398C2×D1111yescharacteristic
794#397—111no—
795#397—111no—
796#397—111no—
797#397—111no—
798#397—111no—
799#397C2×D1111yescharacteristic
800#396—111no—
801#396—111no—
802#396—111no—
803#396C2×D1111yescharacteristic
804#395—111no—
805#395—111no—
806#394—111no—
807#394—111no—
808#394—111no—
809#394C2×D1111yescharacteristic
810#393—111no—
811#393—111no—
812#391—111no—
813#391—111no—
814#390—111no—
815#390—111no—
816#390—111no—
817#390—111no—
818#389—111no—
819#389—111no—
820#389—111no—
821#389—111no—
822#389—111no—
823#389—111no—
824#389—111no—
825#389C2×D1111yescharacteristic
826#388—111no—
827#388—111no—
828#388—111no—
829#388—111no—
830#388—111no—
831#388—111no—
832#388—111no—
833#388—111no—
834#388—111no—
835#388—111no—
836#388—111no—
837#388C2×D1111yescharacteristic
838#387—111no—
839#387—111no—
840#387—111no—
841#387—111no—
842#386—111no—
843#386—111no—
844#386—111no—
845#386—111no—
846#386C2×D1111yescharacteristic
847#386C2×D1111yescharacteristic
848#385—111no—
849#385C2×D1111yescharacteristic
850#384—111no—
851#384—111no—
852#384—111no—
853#382—111no—
854#382—111no—
855#381—111no—
856#381—111no—
857#380—111no—
858#380—111no—
859#380—111no—
860#380—111no—
861#380—111no—
862#380C2×D1111yescharacteristic
863C4×C4⋊C4—111no—
864C4×C4⋊C4—111no—
865C4×C4⋊C4—111no—
866C4×C4⋊C4—111no—
867C4×C4⋊C4—111no—
868C4×C4⋊C4—111no—
869C4×C4⋊C4—111no—
870C4×C4⋊C4—111no—
871C4×C4⋊C4—111no—
872C4×C4⋊C4—111no—
873C4×C4⋊C4—111no—
874C4×C4⋊C4—111no—
875C4×C4⋊C4—111no—
876C4×C4⋊C4—111no—
877C4×C4⋊C4—111no—
878C4×C4⋊C4—111no—
879C4×C22⋊C4—111no—
880C4×C22⋊C4—111no—
881C4×C22⋊C4—111no—
882C4×C22⋊C4—111no—
883C4×C22⋊C4—111no—
884C4×C22⋊C4—111no—
885C4×C22⋊C4—111no—
886C4×C22⋊C4—111no—
887C4×C22⋊C4—111no—
888C4×C22⋊C4—111no—
889C4×C22⋊C4—111no—
890C4×C22⋊C4—111no—
891C2×#95—111no—
892C2×#95C2×D1111yescharacteristic
893C43—111no—
894C22×C11—22no—
895C22×C11—22no—
896C22×C11—22no—
897C22×C11—22no—
898C22×C11—22no—
899C22×C11—22no—
900C22×C11—22no—
901C22×C11—22no—
902C22×C11—22no—
903C22×C11—41no—
904C22×C11—41no—
905C22×C11—41no—
906C22×C11—41no—
907C22×C11—41no—
908C22×C11—41no—
909C22×C11—41no—
910C22×C11—41no—
911C22×C11—41no—
912C22×C11—41no—
913C22×C11—41no—
914C22×C11#53214yes—
915C22×C11C23×D411yescharacteristic
916C22×C11C22×#4111yescharacteristic
917C22×C11C22×#4111yescharacteristic
918C22×C11C22×#4111yescharacteristic
919C22×C11C22×#4111yescharacteristic
920C22×C11C2×2−1+411yescharacteristic
921C22×C11#58511yescharacteristic
922C2×D11—41no—
923C2×D11—41no—
924C2×D11—41no—
925C2×D11—41no—
926C2×D11—41no—
927C2×D11—41no—
928C2×D11—41no—
929C4×C11—22no—
930C4×C11—22no—
931C4×C11—22no—
932C4×C11—22no—
933C4×C11—22no—
934C4×C11—41no—
935C4×C11—41no—
936C4×C11—41no—
937C4×C11—41no—
938C4×C11—41no—
939C4×C11—41no—
940C4×C11—41no—
941Dic11—22no—
942Dic11—22no—
943Dic11—22no—
944Dic11—22no—
945Dic11—22no—
946Dic11—41no—
947Dic11—41no—
948Dic11—41no—
949Dic11—41no—
950Dic11—41no—
951Dic11—41no—
952Dic11—41no—
953Dic11—41no—
954Dic11#52914yescomplemented
955Dic11#54714yes—
956C22×Q8—111no—
957C22×Q8—111no—
958C22×D4—111no—
959C22×D4—111no—
960C22×D4—111no—
961C22×D4C22×D1111yescharacteristic
962C22×D4C22×D1111yescharacteristic
963C22×D4C22×D1111yescharacteristic
964C23×C4—111no—
965C23×C4—111no—
966C23×C4—111no—
967C23×C4—111no—
968C23×C4—111no—
969C23×C4—111no—
970C23×C4—111no—
971C23×C4—111no—
972C23×C4C22×D1111yescharacteristic
973C23×C4C22×D1111yescharacteristic
974C23×C4C22×D1111yescharacteristic
975C23×C4C22×D1111yescharacteristic
976C4⋊Q8—224no—
977#126—224no—
978#126—224no—
979#126—224no—
980#126—224no—
981#125—224no—
982#125—224no—
983#124—224no—
984#124—224no—
985#123—24no—
986#123—24no—
987#123—224no—
988#123—224no—
989#123—224no—
990#123—224no—
991C22⋊Q8—224no—
992C22⋊Q8—224no—
993#121—24no—
994#121—224no—
995#121—224no—
996#121—224no—
997C4×Q8—224no—
998C4×Q8—224no—
999C4×D4—24no—
1000C4×D4—118no—
1001C4×D4—224no—
1002C4×D4—224no—
1003C4×D4—224no—
1004C4×D4—224no—
1005C4×D4—224no—
1006C4×D4—224no—
1007#117—224no—
1008#117—224no—
1009#117—224no—
1010#117—224no—
1011C2×C4⋊C4—111no—
1012C2×C4⋊C4—111no—
1013C2×C4⋊C4—111no—
1014C2×C4⋊C4—111no—
1015C2×C4⋊C4—111no—
1016C2×C4⋊C4—111no—
1017C2×C4⋊C4—111no—
1018C2×C4⋊C4—111no—
1019C2×C4⋊C4—111no—
1020C2×C4⋊C4—111no—
1021C2×C4⋊C4—111no—
1022C2×C4⋊C4—111no—
1023C2×C4⋊C4—111no—
1024C2×C4⋊C4—111no—
1025C2×C4⋊C4—111no—
1026C2×C4⋊C4—111no—
1027C2×C4⋊C4—111no—
1028C2×C4⋊C4—111no—
1029C2×C4⋊C4—111no—
1030C2×C4⋊C4—111no—
1031C2×C4⋊C4—111no—
1032C2×C4⋊C4—111no—
1033C2×C4⋊C4—111no—
1034C2×C4⋊C4—111no—
1035C2×C4⋊C4—111no—
1036C2×C4⋊C4—111no—
1037C2×C4⋊C4—111no—
1038C2×C4⋊C4—111no—
1039C2×C4⋊C4—111no—
1040C2×C4⋊C4—111no—
1041C2×C4⋊C4—111no—
1042C2×C4⋊C4—111no—
1043C2×C4⋊C4—224no—
1044C2×C4⋊C4—224no—
1045C2×C4⋊C4C22×D1111yescharacteristic
1046C2×C4⋊C4C22×D1111yescharacteristic
1047C2×C4⋊C4C22×D1111yescharacteristic
1048C2×C4⋊C4C22×D1111yescharacteristic
1049C2×C4⋊C4C22×D1111yescharacteristic
1050C2×C4⋊C4C22×D1111yescharacteristic
1051C2×C4⋊C4C22×D1111yescharacteristic
1052C2×C4⋊C4C22×D1111yescharacteristic
1053C2×C22⋊C4—111no—
1054C2×C22⋊C4—111no—
1055C2×C22⋊C4—111no—
1056C2×C22⋊C4—111no—
1057C2×C22⋊C4—111no—
1058C2×C22⋊C4—111no—
1059C2×C22⋊C4—111no—
1060C2×C22⋊C4—111no—
1061C2×C22⋊C4—111no—
1062C2×C22⋊C4—111no—
1063C2×C22⋊C4—111no—
1064C2×C22⋊C4—111no—
1065C2×C22⋊C4—111no—
1066C2×C22⋊C4—111no—
1067C2×C22⋊C4—111no—
1068C2×C22⋊C4—111no—
1069C2×C22⋊C4—111no—
1070C2×C22⋊C4—111no—
1071C2×C22⋊C4—111no—
1072C2×C22⋊C4—111no—
1073C2×C22⋊C4—111no—
1074C2×C22⋊C4—111no—
1075C2×C22⋊C4—111no—
1076C2×C22⋊C4—111no—
1077C2×C22⋊C4—111no—
1078C2×C22⋊C4C22×D1111yescharacteristic
1079C2×C22⋊C4C22×D1111yescharacteristic
1080C2×C22⋊C4C22×D1111yescharacteristic
1081C2×C22⋊C4C22×D1111yescharacteristic
1082C2×C22⋊C4C22×D1111yescharacteristic
1083C2×C22⋊C4C22×D1111yescharacteristic
1084C2×C22⋊C4C22×D1111yescharacteristic
1085C2×C22⋊C4C22×D1111yescharacteristic
1086C2×C22⋊C4C22×D1111yescharacteristic
1087C2×C22⋊C4C22×D1111yescharacteristic
1088C2×C22⋊C4C22×D1111yescharacteristic
1089C2×C42—111no—
1090C2×C42—111no—
1091C2×C42—111no—
1092C2×C42—111no—
1093C2×C42—111no—
1094C2×C42—111no—
1095C2×C42—111no—
1096C2×C42—111no—
1097C2×C42—111no—
1098C2×C42—111no—
1099C2×C42—111no—
1100C2×C42—111no—
1101C2×C42—111no—
1102C2×C42—111no—
1103C2×C42—111no—
1104C2×C42—111no—
1105C2×C42—111no—
1106C2×C42—111no—
1107C2×C42—111no—
1108C2×C42—111no—
1109C2×C42—111no—
1110C2×C42—111no—
1111C2×C42—224no—
1112C2×C42—224no—
1113C2×C42—224no—
1114C2×C42—224no—
1115C2×C42C22×D1111yescharacteristic
1116#95—111no—
1117#95—111no—
1118#95—111no—
1119#95—111no—
1120#95—111no—
1121#95—111no—
1122#95—111no—
1123#95—111no—
1124#95—111no—
1125#95—111no—
1126#95—111no—
1127#95—111no—
1128#95—111no—
1129#95—111no—
1130#95—111no—
1131#95—111no—
1132#95—111no—
1133#95—111no—
1134#95—111no—
1135#95—111no—
1136#95—111no—
1137#95—111no—
1138#95—111no—
1139#95—111no—
1140#95—111no—
1141#95—111no—
1142#95—111no—
1143#95—111no—
1144#95C22×D1111yescharacteristic
1145#95C22×D1111yescharacteristic
1146#95C22×D1111yescharacteristic
1147#95C22×D1111yescharacteristic
1148#95C22×D1111yescharacteristic
1149#95C22×D1111yescharacteristic
1150#95C22×D1111yescharacteristic
1151#95C22×D1111yescharacteristic
1152C2×C11—24no—
1153C2×C11—42no—
1154C2×C11—81no—
1155C2×C11C2×#52911yescharacteristic
1156C2×C11C2×#53211yescharacteristic
1157C2×C11#346111yescharacteristic
1158C2×C11C2×#54711yescharacteristic
1159C2×C11D4×#4111yescharacteristic
1160C2×C11#347511yescharacteristic
1161C2×C11#348211yescharacteristic
1162D11—81no—
1163C24—111no—
1164C24C23×D1111yescharacteristic
1165C24C23×D1111yescharacteristic
1166C24C23×D1111yescharacteristic
1167C2×Q8—222no—
1168C2×Q8—222no—
1169C2×Q8—222no—
1170C2×Q8—222no—
1171C2×Q8—441no—
1172C2×Q8—441no—
1173C2×D4—22no—
1174C2×D4—22no—
1175C2×D4—22no—
1176C2×D4—22no—
1177C2×D4—22no—
1178C2×D4—22no—
1179C2×D4—22no—
1180C2×D4—41no—
1181C2×D4—222no—
1182C2×D4—222no—
1183C2×D4—222no—
1184C2×D4—222no—
1185C2×D4—222no—
1186C2×D4—222no—
1187C2×D4—222no—
1188C2×D4—222no—
1189C2×D4—441no—
1190C2×D4D4×D1114yes—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—22no—
1197C22×C4—22no—
1198C22×C4—22no—
1199C22×C4—22no—
1200C22×C4—41no—
1201C22×C4—41no—
1202C22×C4—41no—
1203C22×C4—111no—
1204C22×C4—111no—
1205C22×C4—114no—
1206C22×C4—114no—
1207C22×C4—114no—
1208C22×C4—111no—
1209C22×C4—111no—
1210C22×C4—111no—
1211C22×C4—111no—
1212C22×C4—111no—
1213C22×C4—111no—
1214C22×C4—111no—
1215C22×C4—111no—
1216C22×C4—111no—
1217C22×C4—111no—
1218C22×C4—111no—
1219C22×C4—111no—
1220C22×C4—111no—
1221C22×C4—222no—
1222C22×C4—222no—
1223C22×C4—222no—
1224C22×C4—222no—
1225C22×C4—222no—
1226C22×C4—222no—
1227C22×C4—222no—
1228C22×C4—222no—
1229C22×C4—222no—
1230C22×C4—222no—
1231C22×C4—222no—
1232C22×C4—222no—
1233C22×C4—222no—
1234C22×C4—222no—
1235C22×C4—222no—
1236C22×C4—222no—
1237C22×C4—222no—
1238C22×C4—222no—
1239C22×C4—222no—
1240C22×C4—222no—
1241C22×C4—441no—
1242C22×C4C23×D1111yescharacteristic
1243C22×C4C23×D1111yescharacteristic
1244C22×C4C23×D1111yescharacteristic
1245C22×C4C23×D1111yescharacteristic
1246C22×C4C23×D1111yescharacteristic
1247C22×C4C23×D1111yescharacteristic
1248C22×C4C23×D1111yescharacteristic
1249C22×C4C23×D1111yescharacteristic
1250C22×C4C23×D1111yescharacteristic
1251C22×C4C23×D1111yescharacteristic
1252C22×C4C23×D1111yescharacteristic
1253C22×C4C23×D1111yescharacteristic
1254C4⋊C4—22no—
1255C4⋊C4—22no—
1256C4⋊C4—22no—
1257C4⋊C4—22no—
1258C4⋊C4—22no—
1259C4⋊C4—22no—
1260C4⋊C4—22no—
1261C4⋊C4—41no—
1262C4⋊C4—114no—
1263C4⋊C4—114no—
1264C4⋊C4—222no—
1265C4⋊C4—222no—
1266C4⋊C4—222no—
1267C4⋊C4—222no—
1268C4⋊C4—222no—
1269C4⋊C4—222no—
1270C4⋊C4—222no—
1271C4⋊C4—222no—
1272C4⋊C4—222no—
1273C4⋊C4—222no—
1274C4⋊C4—222no—
1275C4⋊C4—222no—
1276C4⋊C4—222no—
1277C4⋊C4—222no—
1278C4⋊C4—222no—
1279C4⋊C4—222no—
1280C4⋊C4—222no—
1281C4⋊C4—222no—
1282C4⋊C4—222no—
1283C4⋊C4—222no—
1284C4⋊C4—222no—
1285C4⋊C4—222no—
1286C4⋊C4—222no—
1287C4⋊C4—222no—
1288C4⋊C4—222no—
1289C4⋊C4—222no—
1290C4⋊C4—222no—
1291C4⋊C4—222no—
1292C4⋊C4—222no—
1293C4⋊C4—441no—
1294C22⋊C4—22no—
1295C22⋊C4—22no—
1296C22⋊C4—22no—
1297C22⋊C4—22no—
1298C22⋊C4—22no—
1299C22⋊C4—22no—
1300C22⋊C4—22no—
1301C22⋊C4—22no—
1302C22⋊C4—22no—
1303C22⋊C4—41no—
1304C22⋊C4—114no—
1305C22⋊C4—114no—
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—222no—
1319C22⋊C4—222no—
1320C22⋊C4—222no—
1321C22⋊C4—222no—
1322C22⋊C4—222no—
1323C22⋊C4—222no—
1324C22⋊C4—222no—
1325C22⋊C4—222no—
1326C22⋊C4—441no—
1327C22⋊C4—441no—
1328C22⋊C4—441no—
1329C22⋊C4#434114yes—
1330C42—22no—
1331C42—114no—
1332C42—114no—
1333C42—222no—
1334C42—222no—
1335C42—222no—
1336C42—222no—
1337C42—222no—
1338C42—222no—
1339C42—222no—
1340C42—222no—
1341C42—222no—
1342C42—222no—
1343C42—222no—
1344C42—222no—
1345C42—222no—
1346C42—222no—
1347C42—222no—
1348C42—222no—
1349C42—222no—
1350C42—222no—
1351C42—222no—
1352C42—441no—
1353C11#3476311yescharacteristic, complemented, Sylow
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—221no—
1372C23—221no—
1373C23—221no—
1374C23—221no—
1375C23—221no—
1376C23—221no—
1377C23—221no—
1378C23C2×D4×D1112yes—
1379C23C2×D4×D1112yes—
1380C23C2×#434112yes—
1381C23#41×D1112yes—
1382C23C24×D1111yescharacteristic
1383Q8—444no—
1384Q8—444no—
1385D4—28no—
1386D4—44no—
1387D4—44no—
1388D4—444no—
1389D4—444no—
1390D4—444no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—44no—
1423C2×C4—44no—
1424C2×C4—44no—
1425C2×C4—44no—
1426C2×C4—112no—
1427C2×C4—112no—
1428C2×C4—112no—
1429C2×C4—112no—
1430C2×C4—112no—
1431C2×C4—112no—
1432C2×C4—112no—
1433C2×C4—112no—
1434C2×C4—112no—
1435C2×C4—112no—
1436C2×C4—112no—
1437C2×C4—228no—
1438C2×C4—228no—
1439C2×C4—228no—
1440C2×C4—221no—
1441C2×C4—221no—
1442C2×C4—221no—
1443C2×C4—221no—
1444C2×C4—221no—
1445C2×C4—221no—
1446C2×C4—221no—
1447C2×C4—221no—
1448C2×C4—221no—
1449C2×C4—221no—
1450C2×C4—221no—
1451C2×C4—221no—
1452C2×C4—221no—
1453C2×C4—221no—
1454C2×C4—221no—
1455C2×C4—221no—
1456C2×C4—221no—
1457C2×C4—221no—
1458C2×C4—221no—
1459C2×C4—221no—
1460C2×C4—221no—
1461C2×C4—221no—
1462C2×C4—221no—
1463C2×C4—221no—
1464C2×C4—221no—
1465C2×C4—221no—
1466C2×C4—221no—
1467C2×C4—221no—
1468C2×C4—221no—
1469C2×C4—221no—
1470C2×C4—221no—
1471C2×C4—221no—
1472C2×C4—221no—
1473C2×C4—221no—
1474C2×C4—444no—
1475C2×C4—444no—
1476C2×C4—444no—
1477C2×C4—444no—
1478C2×C4—444no—
1479C2×C4C2×D4×D1112yes—
1480C2×C4C2×#434112yes—
1481C2×C4C2×#434112yes—
1482C2×C4#41×D1112yes—
1483C2×C4#41×D1112yes—
1484C22—22no—
1485C22—22no—
1486C22—22no—
1487C22—22no—
1488C22—22no—
1489C22—22no—
1490C22—22no—
1491C22—22no—
1492C22—22no—
1493C22—41no—
1494C22—41no—
1495C22—41no—
1496C22—41no—
1497C22—41no—
1498C22—41no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—441no—
1505C22—441no—
1506C22—441no—
1507C22—441no—
1508C22—441no—
1509C22—441no—
1510C22—441no—
1511C22#1062312714yes—
1512C22C22×D4×D1111yescharacteristic
1513C22C22×#434111yescharacteristic
1514C22C2×#41×D1111yescharacteristic
1515C22C2×#41×D1111yescharacteristic
1516C22C2×#41×D1111yescharacteristic
1517C22#1062345511yescharacteristic
1518C22D11×2−1+411yescharacteristic
1519C4—22no—
1520C4—22no—
1521C4—22no—
1522C4—22no—
1523C4—22no—
1524C4—41no—
1525C4—41no—
1526C4—41no—
1527C4—41no—
1528C4—41no—
1529C4—41no—
1530C4—41no—
1531C4—114no—
1532C4—114no—
1533C4—222no—
1534C4—222no—
1535C4—222no—
1536C4—222no—
1537C4—222no—
1538C4—441no—
1539C4—441no—
1540C4—441no—
1541C4—441no—
1542C4—441no—
1543C4—441no—
1544C4—441no—
1545C4—441no—
1546C2—24no—
1547C2—42no—
1548C2—81no—
1549C2—881no—
1550C2D11×#52911yescharacteristic
1551C2C2×#1062312711yescharacteristic
1552C2#1308204611yescharacteristic
1553C2D11×#54711yescharacteristic
1554C2#1308210011yescharacteristic
1555C2#1308216711yescharacteristic
1556C2#1308222811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2425C2
prime radical#13072053C2
hypercenter#2425D11
hypocenterC11#34763
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2425

Complements

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

NH ≅ G/Ntype
1. C2×#10623131C2semidirect
2. C2×#10623180C2semidirect
3. #13073323C2semidirect
4. #13073315C2semidirect
5. #13073295C2semidirect
6. #13073287C2semidirect
7. #13073195C2semidirect
8. #13073125C2semidirect
9. #13073085C2semidirect
10. #13073031C2semidirect
11. #13072972C2semidirect
12. #13072944C2semidirect
13. #13072942C2semidirect
14. #13072921C2semidirect
15. #13072317C2semidirect
16. #13072161C2semidirect
18. #13071893C2semidirect
19. #13071891C2semidirect
20. #13071874C2semidirect
21. #13071872C2semidirect
22. #13071187C2semidirect
23. #123×Dic11C2semidirect
24. #13071135C2semidirect
25. #13071126C2semidirect
26. #13071126C2semidirect
27. #13071076C2semidirect
28. #13071018C2semidirect
29. C4×D4×Dic11C2semidirect
30. C2×#10622262C2semidirect
31. C11×#2425C2semidirect
256. D4×Dic11D4semidirect
592. #2425D11semidirect
954. Dic11#529semidirect
1353. C11#34763semidirect

Maximal subgroups

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

subgroupindex
C2×#106231312
C2×#106231802
#130733232
#130733152
#130732952
#130732872
#130731952
#130731252
#130730852
#130730312
#130729722
#130729442
#130729422
#130729212
#130723172
#130721612
#130720532
#130718932
#130718912
#130718742
#130718722
#130711872
#123×Dic112
#130711352
#130711262
#130710762
#130710182
C4×D4×Dic112
C2×#106222622
C11×#24252
#3476311