Finite Group Databasebeta

← #11910910

Subgroups — #11910910

Order 1152.

1749 conjugacy classes of subgroups.

The subgroup lattice has 1623 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C9×#553C211yesmaximal, characteristic, complemented
2#10589813C211yesmaximal, characteristic, complemented
3#10589809C211yesmaximal, characteristic, complemented
4#10589807C211yesmaximal, characteristic, complemented
5#10589806C211yesmaximal, characteristic, complemented
6#10589802C211yesmaximal, characteristic, complemented
7#10589794C211yesmaximal, characteristic, complemented
8#10589769C211yesmaximal, characteristic, complemented
9#10589765C211yesmaximal, characteristic, complemented
10#10589756C211yesmaximal, characteristic, complemented
11#10589755C211yesmaximal, characteristic, complemented
12#10589722C211yesmaximal, characteristic, complemented
13#10589712C211yesmaximal, characteristic, complemented
14#10589712C211yesmaximal, characteristic, complemented
15#10589711C211yesmaximal, characteristic, complemented
16#10589707C211yesmaximal, characteristic, complemented
17#10589707C211yesmaximal, characteristic, complemented
18D9×#121C211yesmaximal, characteristic, complemented
19#10589699C211yesmaximal, characteristic, complemented
20#10589666C211yesmaximal, characteristic, complemented
21#10589662C211yesmaximal, characteristic, complemented
22#10589662C211yesmaximal, characteristic, complemented
23#10589656C211yesmaximal, characteristic, complemented
24#10589656C211yesmaximal, characteristic, complemented
25#10589652C211yesmaximal, characteristic, complemented
26D4×D36C211yesmaximal, characteristic, complemented
27#10589649C211yesmaximal, characteristic, complemented
28#10589637C211yesmaximal, characteristic, complemented
29#10589629C211yesmaximal, characteristic, complemented
30#10589616C211yesmaximal, characteristic, complemented
31C2×#63456C211yesmaximal, characteristic, complemented
32#86915—31nomaximal
33C2×#3699C2211yescharacteristic, complemented
34C2×#3699C2211yescharacteristic, complemented
35C2×D4×D9C2211yescharacteristic, complemented
36C2×D4×D9C2211yescharacteristic, complemented
37C2×D4×D9C2211yescharacteristic, complemented
38C2×D4×D9C2211yescharacteristic, complemented
39C2×D4×D9C2211yescharacteristic, complemented
40C2×D4×D9C2211yescharacteristic, complemented
41C2×#3697C2211yescharacteristic, complemented
42C22×D36C2211yescharacteristic
43C22×D36C2211yescharacteristic, complemented
44C22×C4×D9C2211yescharacteristic, complemented
45C9×#126C2211yescharacteristic, complemented
46C9×#126C2211yescharacteristic, complemented
47C9×#125C2211yescharacteristic, complemented
48C9×#123C2211yescharacteristic, complemented
49C9×#123C2211yescharacteristic, complemented
50C9×#121C2211yescharacteristic, complemented
51C9×#121C2211yescharacteristic, complemented
52C9×#121C2211yescharacteristic, complemented
53C9×#121C2211yescharacteristic, complemented
54C4×D4×C9C2211yescharacteristic, complemented
55C4×D4×C9C2211yescharacteristic, complemented
56C4×D4×C9C2211yescharacteristic, complemented
57C4×D4×C9C2211yescharacteristic, complemented
58C9×#117C2211yescharacteristic, complemented
59C2×C9×C4⋊C4C2211yescharacteristic, complemented
60#63502C2211yescharacteristic, complemented
61#63501C2211yescharacteristic
62#63501C2211yescharacteristic, complemented
63#63501C2211yescharacteristic, complemented
64#63501C2211yescharacteristic, complemented
65#63501C2211yescharacteristic, complemented
66#63501C2211yescharacteristic, complemented
67#63501C2211yescharacteristic, complemented
68#63500C2211yescharacteristic, complemented
69#63499C2211yescharacteristic, complemented
70#63499C2211yescharacteristic, complemented
71#63499C2211yescharacteristic, complemented
72#63499C2211yescharacteristic, complemented
73#63499C2211yescharacteristic, complemented
74#63499C2211yescharacteristic, complemented
75#63497C2211yescharacteristic, complemented
76#63492C2211yescharacteristic, complemented
77#63492C2211yescharacteristic, complemented
78#63492C2211yescharacteristic, complemented
79#63492C2211yescharacteristic, complemented
80#63492C2211yescharacteristic, complemented
81#63492C2211yescharacteristic, complemented
82#63492C2211yescharacteristic, complemented
83#63491C2211yescharacteristic, complemented
84#63491C2211yescharacteristic, complemented
85C4×#611C2211yescharacteristic, complemented
86C4×#611C2211yescharacteristic, complemented
87C4×#611C2211yescharacteristic, complemented
88C4×#611C2211yescharacteristic, complemented
89C2×(C2×D9)⋊C4C2211yescharacteristic, complemented
90C2×(C2×D9)⋊C4C2211yescharacteristic, complemented
91C2×(C2×D9)⋊C4C2211yescharacteristic, complemented
92C2×(C2×D9)⋊C4C2211yescharacteristic, complemented
93C2×(C2×D9)⋊C4C2211yescharacteristic, complemented
94#63486C2211yescharacteristic, complemented
95C2×Dic9⋊C4C2211yescharacteristic, complemented
96#63460C2211yescharacteristic, complemented
97#63460C2211yescharacteristic, complemented
98#63460C2211yescharacteristic, complemented
99#63459C2211yescharacteristic, complemented
100#63459C2211yescharacteristic, complemented
101#63458C2211yescharacteristic, complemented
102#63458C2211yescharacteristic, complemented
103#63458C2211yescharacteristic, complemented
104#63458C2211yescharacteristic, complemented
105#63458C2211yescharacteristic, complemented
106#63458C2211yescharacteristic, complemented
107#63457C2211yescharacteristic
108#63457C2211yescharacteristic, complemented
109#63457C2211yescharacteristic, complemented
110#63457C2211yescharacteristic, complemented
111#63457C2211yescharacteristic, complemented
112#63457C2211yescharacteristic, complemented
113#63457C2211yescharacteristic, complemented
114#63456C2211yescharacteristic, complemented
115#63456C2211yescharacteristic, complemented
116#63456C2211yescharacteristic, complemented
117#63456C2211yescharacteristic, complemented
118#63456C2211yescharacteristic, complemented
119#63456C2211yescharacteristic, complemented
120#63456C2211yescharacteristic, complemented
121#63456C2211yescharacteristic, complemented
122#63456C2211yescharacteristic, complemented
123#63456C2211yescharacteristic, complemented
124#63456C2211yescharacteristic, complemented
125#63456C2211yescharacteristic, complemented
126#63456C2211yescharacteristic, complemented
127#63456C2211yescharacteristic, complemented
128#63456C2211yescharacteristic, complemented
129#63456C2211yescharacteristic, complemented
130#63455C2211yescharacteristic, complemented
131#63455C2211yescharacteristic, complemented
132#63454C2211yescharacteristic, complemented
133C4⋊C4×D9C2211yescharacteristic, complemented
134#63452C2211yescharacteristic, complemented
135#63451C2211yescharacteristic, complemented
136#63448C2211yescharacteristic, complemented
137#63448C2211yescharacteristic, complemented
138#63448C2211yescharacteristic, complemented
139#63447C2211yescharacteristic, complemented
140#63447C2211yescharacteristic, complemented
141#63447C2211yescharacteristic, complemented
142#63446C2211yescharacteristic
143#63446C2211yescharacteristic, complemented
144#63446C2211yescharacteristic, complemented
145#63446C2211yescharacteristic, complemented
146#63446C2211yescharacteristic, complemented
147#63446C2211yescharacteristic, complemented
148#63446C2211yescharacteristic, complemented
149#63446C2211yescharacteristic, complemented
150#63446C2211yescharacteristic, complemented
151#63446C2211yescharacteristic, complemented
152#63445C2211yescharacteristic, complemented
153#63445C2211yescharacteristic, complemented
154#63445C2211yescharacteristic, complemented
155#63445C2211yescharacteristic, complemented
156#63444C2211yescharacteristic
157#63444C2211yescharacteristic
158#63444C2211yescharacteristic, complemented
159#63444C2211yescharacteristic, complemented
160#63444C2211yescharacteristic, complemented
161#63444C2211yescharacteristic, complemented
162#63444C2211yescharacteristic, complemented
163#63444C2211yescharacteristic, complemented
164#63444C2211yescharacteristic, complemented
165#63444C2211yescharacteristic, complemented
166#611⋊C4C2211yescharacteristic, complemented
167#611⋊C4C2211yescharacteristic, complemented
168C22⋊C4×D9C2211yescharacteristic, complemented
169C22⋊C4×D9C2211yescharacteristic, complemented
170C22⋊C4×D9C2211yescharacteristic, complemented
171C22⋊C4×D9C2211yescharacteristic, complemented
172#63441C2211yescharacteristic, complemented
173#63440C2211yescharacteristic, complemented
174#63440C2211yescharacteristic, complemented
175#63440C2211yescharacteristic, complemented
176#63438C2211yescharacteristic, complemented
177#63438C2211yescharacteristic, complemented
178#63437C2211yescharacteristic, complemented
179#63437C2211yescharacteristic, complemented
180#63437C2211yescharacteristic, complemented
181#63436C2211yescharacteristic, complemented
182C4×D36C2211yescharacteristic, complemented
183C4×D36C2211yescharacteristic, complemented
184C4×D36C2211yescharacteristic, complemented
185C4×D36C2211yescharacteristic, complemented
186#63434C2211yescharacteristic, complemented
187#63432C2211yescharacteristic, complemented
188C3×#553D311yescharacteristic
189#5711—31no—
190#5707—31no—
191#5705—31no—
192#5704—31no—
193#5700—31no—
194#5692—31no—
195#5667—31no—
196#5663—31no—
197#5654—31no—
198#5653—31no—
199#5620—31no—
200#5610—31no—
201#5610—31no—
202#5609—31no—
203#5605—31no—
204#5605—31no—
205D3×#121—31no—
206#5597—31no—
207#5564—31no—
208#5560—31no—
209#5560—31no—
210#5554—31no—
211#5554—31no—
212#5550—31no—
213D4×D12—31no—
214#5547—31no—
215#5535—31no—
216#5527—31no—
217#5514—31no—
218C2×#894—31no—
219C23×D9C2311yescharacteristic
220C23×D9C2311yescharacteristic
221C23×D9C2311yescharacteristic
222C23×D9C2311yescharacteristic
223C23×D9C2311yescharacteristic
224C23×D9C2311yescharacteristic
225C2×D4×C9C2311yescharacteristic
226C2×D4×C9C2311yescharacteristic
227C2×D4×C9C2311yescharacteristic
228C2×D4×C9C2311yescharacteristic
229C2×D4×C9C2311yescharacteristic
230C2×D4×C9C2311yescharacteristic
231C22×C4×C9C2311yescharacteristic
232C22×C4×C9C2311yescharacteristic
233C22×C4×C9C2311yescharacteristic
234C22×C4×C9C2311yescharacteristic
235C22×C4×C9C2311yescharacteristic
236C22×C4×C9C2311yescharacteristic
237C2×#611C2311yescharacteristic
238C2×#611C2311yescharacteristic
239C2×#611C2311yescharacteristic
240C2×#611C2311yescharacteristic
241C2×#611C2311yescharacteristic
242C2×#611C2311yescharacteristic
243C2×#611C2311yescharacteristic
244C2×#611C2311yescharacteristic
245C2×#611C2311yescharacteristic
246C2×#611C2311yescharacteristic
247C2×#611C2311yescharacteristic
248C2×#611C2311yescharacteristic
249C2×#611C2311yescharacteristic
250C2×#611C2311yescharacteristic
251C2×#611C2311yescharacteristic
252C2×#611C2311yescharacteristic
253C22×Dic9C2311yescharacteristic
254C22×Dic9C2311yescharacteristic
255C22×Dic9C2311yescharacteristic
256C22×Dic9C2311yescharacteristic
257#3699—42no—
258#3699—42no—
259D4×D9—42no—
260D4×D9—42no—
261D4×D9—42no—
262D4×D9—42no—
263D4×D9—42no—
264D4×D9—42no—
265#3697—42no—
266C2×D36—42no—
267C2×D36—42no—
268C2×D36C2311yescharacteristic
269C2×D36C2311yescharacteristic
270C2×D36C2311yescharacteristic
271C2×D36C2311yescharacteristic
272C2×D36C2311yescharacteristic
273C2×D36C2311yescharacteristic
274C2×D36C2311yescharacteristic
275C2×D36C2311yescharacteristic
276C2×D36C2311yescharacteristic
277C2×D36C2311yescharacteristic
278C2×D36C2311yescharacteristic
279C2×D36C2311yescharacteristic
280C2×D36C2311yescharacteristic
281C2×D36C2311yescharacteristic
282C2×D36C2311yescharacteristic
283C2×C4×D9—42no—
284C2×C4×D9C2311yescharacteristic
285C2×C4×D9C2311yescharacteristic
286C2×C4×D9C2311yescharacteristic
287C2×C4×D9C2311yescharacteristic
288C2×C4×D9C2311yescharacteristic
289C2×C4×D9C2311yescharacteristic
290C2×C4×D9C2311yescharacteristic
291C2×C4×D9C2311yescharacteristic
292C2×C4×D9C2311yescharacteristic
293C2×C4×D9C2311yescharacteristic
294C2×C4×D9C2311yescharacteristic
295C2×C4×D9C2311yescharacteristic
296C2×C4×D9C2311yescharacteristic
297C2×Dic18C2311yescharacteristic
298C2×Dic18C2311yescharacteristic
299C2×Dic18C2311yescharacteristic
300C9×C4⋊C4C2311yescharacteristic
301C9×C4⋊C4C2311yescharacteristic
302C9×C4⋊C4C2311yescharacteristic
303C9×C4⋊C4C2311yescharacteristic
304C9×C4⋊C4C2311yescharacteristic
305C9×C4⋊C4C2311yescharacteristic
306C9×C4⋊C4C2311yescharacteristic
307C9×C4⋊C4C2311yescharacteristic
308C9×C4⋊C4C2311yescharacteristic
309C9×C4⋊C4C2311yescharacteristic
310C9×C22⋊C4C2311yescharacteristic
311C9×C22⋊C4C2311yescharacteristic
312C9×C22⋊C4C2311yescharacteristic
313C9×C22⋊C4C2311yescharacteristic
314C9×C22⋊C4C2311yescharacteristic
315C9×C22⋊C4C2311yescharacteristic
316C9×C22⋊C4C2311yescharacteristic
317C9×C22⋊C4C2311yescharacteristic
318C9×C22⋊C4C2311yescharacteristic
319C9×C22⋊C4C2311yescharacteristic
320C42×C9C2311yescharacteristic
321C42×C9C2311yescharacteristic
322C42×C9C2311yescharacteristic
323#3676C2311yescharacteristic
324#3676C2311yescharacteristic
325#3676C2311yescharacteristic
326#3676C2311yescharacteristic
327#3676C2311yescharacteristic
328#3676C2311yescharacteristic
329(C2×D9)⋊C4C2311yescharacteristic
330(C2×D9)⋊C4C2311yescharacteristic
331(C2×D9)⋊C4C2311yescharacteristic
332(C2×D9)⋊C4C2311yescharacteristic
333(C2×D9)⋊C4C2311yescharacteristic
334(C2×D9)⋊C4C2311yescharacteristic
335(C2×D9)⋊C4C2311yescharacteristic
336(C2×D9)⋊C4C2311yescharacteristic
337(C2×D9)⋊C4C2311yescharacteristic
338(C2×D9)⋊C4C2311yescharacteristic
339(C2×D9)⋊C4C2311yescharacteristic
340(C2×D9)⋊C4C2311yescharacteristic
341(C2×D9)⋊C4C2311yescharacteristic
342(C2×D9)⋊C4C2311yescharacteristic
343(C2×D9)⋊C4C2311yescharacteristic
344(C2×D9)⋊C4C2311yescharacteristic
345(C2×D9)⋊C4C2311yescharacteristic
346(C2×D9)⋊C4C2311yescharacteristic
347(C2×D9)⋊C4C2311yescharacteristic
348(C2×D9)⋊C4C2311yescharacteristic
349(C2×D9)⋊C4C2311yescharacteristic
350(C2×D9)⋊C4C2311yescharacteristic
351(C2×D9)⋊C4C2311yescharacteristic
352(C2×D9)⋊C4C2311yescharacteristic
353(C2×D9)⋊C4C2311yescharacteristic
354(C2×D9)⋊C4C2311yescharacteristic
355(C2×D9)⋊C4C2311yescharacteristic
356(C2×D9)⋊C4C2311yescharacteristic
357(C2×D9)⋊C4C2311yescharacteristic
358(C2×D9)⋊C4C2311yescharacteristic
359(C2×D9)⋊C4C2311yescharacteristic
360(C2×D9)⋊C4C2311yescharacteristic
361(C2×D9)⋊C4C2311yescharacteristic
362(C2×D9)⋊C4C2311yescharacteristic
363C4⋊Dic9C2311yescharacteristic
364C4⋊Dic9C2311yescharacteristic
365C4⋊Dic9C2311yescharacteristic
366C4⋊Dic9C2311yescharacteristic
367C4⋊Dic9C2311yescharacteristic
368C4⋊Dic9C2311yescharacteristic
369Dic9⋊C4C2311yescharacteristic
370Dic9⋊C4C2311yescharacteristic
371Dic9⋊C4C2311yescharacteristic
372Dic9⋊C4C2311yescharacteristic
373Dic9⋊C4C2311yescharacteristic
374Dic9⋊C4C2311yescharacteristic
375Dic9⋊C4C2311yescharacteristic
376Dic9⋊C4C2311yescharacteristic
377Dic9⋊C4C2311yescharacteristic
378Dic9⋊C4C2311yescharacteristic
379Dic9⋊C4C2311yescharacteristic
380Dic9⋊C4C2311yescharacteristic
381Dic9⋊C4C2311yescharacteristic
382Dic9⋊C4C2311yescharacteristic
383C4×Dic9C2311yescharacteristic
384C4×Dic9C2311yescharacteristic
385C4×Dic9C2311yescharacteristic
386#3534—91noSylow
387C2×#237—31no—
388C2×#237—31no—
389C2×D3×D4—31no—
390C2×D3×D4—31no—
391C2×D3×D4—31no—
392C2×D3×D4—31no—
393C2×D3×D4—31no—
394C2×D3×D4—31no—
395C2×#235—31no—
396C22×D12—31no—
397C22×D12—31no—
398C22×C4×D3—31no—
399C3×#126C2×D311yescharacteristic
400C3×#126C2×D311yescharacteristic
401C3×#125C2×D311yescharacteristic
402C3×#123C2×D311yescharacteristic
403C3×#123C2×D311yescharacteristic
404C3×#121C2×D311yescharacteristic
405C3×#121C2×D311yescharacteristic
406C3×#121C2×D311yescharacteristic
407C3×#121C2×D311yescharacteristic
408C3×C4×D4C2×D311yescharacteristic
409C3×C4×D4C2×D311yescharacteristic
410C3×C4×D4C2×D311yescharacteristic
411C3×C4×D4C2×D311yescharacteristic
412C3×#117C2×D311yescharacteristic
413C2×C3×C4⋊C4C2×D311yescharacteristic
414#940—31no—
415#939—31no—
416#939—31no—
417#939—31no—
418#939—31no—
419#939—31no—
420#939—31no—
421#939—31no—
422#938—31no—
423#937—31no—
424#937—31no—
425#937—31no—
426#937—31no—
427#937—31no—
428#937—31no—
429#935—31no—
430#930—31no—
431#930—31no—
432#930—31no—
433#930—31no—
434#930—31no—
435#930—31no—
436#930—31no—
437#929—31no—
438#929—31no—
439C4×#67—31no—
440C4×#67—31no—
441C4×#67—31no—
442C4×#67—31no—
443C2×(C2×D3)⋊C4—31no—
444C2×(C2×D3)⋊C4—31no—
445C2×(C2×D3)⋊C4—31no—
446C2×(C2×D3)⋊C4—31no—
447C2×(C2×D3)⋊C4—31no—
448#924—31no—
449C2×Dic3⋊C4—31no—
450#898—31no—
451#898—31no—
452#898—31no—
453#897—31no—
454#897—31no—
455#896—31no—
456#896—31no—
457#896—31no—
458#896—31no—
459#896—31no—
460#896—31no—
461#895—31no—
462#895—31no—
463#895—31no—
464#895—31no—
465#895—31no—
466#895—31no—
467#895—31no—
468#894—31no—
469#894—31no—
470#894—31no—
471#894—31no—
472#894—31no—
473#894—31no—
474#894—31no—
475#894—31no—
476#894—31no—
477#894—31no—
478#894—31no—
479#894—31no—
480#894—31no—
481#894—31no—
482#894—31no—
483#894—31no—
484#893—31no—
485#893—31no—
486#892—31no—
487D3×C4⋊C4—31no—
488#890—31no—
489#889—31no—
490#886—31no—
491#886—31no—
492#886—31no—
493#885—31no—
494#885—31no—
495#885—31no—
496#884—31no—
497#884—31no—
498#884—31no—
499#884—31no—
500#884—31no—
501#884—31no—
502#884—31no—
503#884—31no—
504#884—31no—
505#884—31no—
506#883—31no—
507#883—31no—
508#883—31no—
509#883—31no—
510#882—31no—
511#882—31no—
512#882—31no—
513#882—31no—
514#882—31no—
515#882—31no—
516#882—31no—
517#882—31no—
518#882—31no—
519#882—31no—
520#67⋊C4—31no—
521#67⋊C4—31no—
522D3×C22⋊C4—31no—
523D3×C22⋊C4—31no—
524D3×C22⋊C4—31no—
525D3×C22⋊C4—31no—
526#879—31no—
527#878—31no—
528#878—31no—
529#878—31no—
530#876—31no—
531#876—31no—
532#875—31no—
533#875—31no—
534#875—31no—
535#874—31no—
536C4×D12—31no—
537C4×D12—31no—
538C4×D12—31no—
539C4×D12—31no—
540#872—31no—
541#870—31no—
542C23×C9C2411yescharacteristic
543C23×C9C2411yescharacteristic
544C23×C9C2411yescharacteristic
545C23×C9C2411yescharacteristic
546C22×D9—22no—
547C22×D9—22no—
548C22×D9—22no—
549C22×D9—22no—
550C22×D9—22no—
551C22×D9—41no—
552C22×D9—41no—
553C22×D9—41no—
554C22×D9—41no—
555C22×D9—41no—
556C22×D9—41no—
557C22×D9—41no—
558C22×D9—41no—
559C22×D9—41no—
560C22×D9—41no—
561C22×D9—41no—
562C22×D9—41no—
563C22×D9—41no—
564C22×D9C2411yescharacteristic
565C22×D9C2411yescharacteristic
566C22×D9C2411yescharacteristic
567C22×D9C2411yescharacteristic
568C22×D9C2411yescharacteristic
569C22×D9C2411yescharacteristic
570C22×D9C2411yescharacteristic
571D4×C9—22no—
572D4×C9—22no—
573D4×C9—22no—
574D4×C9—41no—
575D4×C9—41no—
576D4×C9—41no—
577C2×C4×C9—41no—
578C2×C4×C9—41no—
579C2×C4×C9—41no—
580C2×C4×C9—41no—
581C2×C4×C9—41no—
582C2×C4×C9—41no—
583C2×C4×C9C2411yescharacteristic
584C2×C4×C9C2411yescharacteristic
585C2×C4×C9C2411yescharacteristic
586C2×C4×C9C2411yescharacteristic
587C2×C4×C9C2411yescharacteristic
588C2×C4×C9C2411yescharacteristic
589C2×C4×C9C2411yescharacteristic
590C2×C4×C9C2411yescharacteristic
591C2×C4×C9C2411yescharacteristic
592C2×C4×C9C2411yescharacteristic
593C2×C4×C9C2411yescharacteristic
594#611—22no—
595#611—22no—
596#611—22no—
597#611—22no—
598#611—41no—
599#611—41no—
600#611—41no—
601#611—41no—
602#611—41no—
603#611—41no—
604#611—41no—
605#611—41no—
606#611—41no—
607#611—41no—
608#611—41no—
609#611—41no—
610C2×Dic9—22no—
611C2×Dic9—41no—
612C2×Dic9—41no—
613C2×Dic9—41no—
614C2×Dic9C2411yescharacteristic
615C2×Dic9C2411yescharacteristic
616C2×Dic9C2411yescharacteristic
617C2×Dic9C2411yescharacteristic
618C2×Dic9C2411yescharacteristic
619C2×Dic9C2411yescharacteristic
620C2×Dic9C2411yescharacteristic
621C2×Dic9C2411yescharacteristic
622C2×Dic9C2411yescharacteristic
623D36—22no—
624D36—22no—
625D36—22no—
626D36—41no—
627D36—41no—
628D36—41no—
629D36—41no—
630D36—41no—
631D36—41no—
632D36—41no—
633D36—41no—
634D36—41no—
635D36—41no—
636D36—41no—
637D36—41no—
638C4×D9—22no—
639C4×D9—22no—
640C4×D9—41no—
641C4×D9—41no—
642C4×D9—41no—
643C4×D9—41no—
644C4×D9—41no—
645C4×D9—41no—
646C4×D9—41no—
647C4×D9—41no—
648C4×D9—41no—
649C4×D9—41no—
650C4×D9—41no—
651Dic18—41no—
652Dic18—41no—
653Dic18—41no—
654#562—91no—
655#562—91no—
656#560—91no—
657#560—91no—
658#553—91no—
659#553D911yescharacteristic, complemented
660#551—91no—
661#551—91no—
662#546—91no—
663#546—91no—
664#546—91no—
665#546—91no—
666#546—91no—
667#546—91no—
668D42—91no—
669D42—91no—
670#540—91no—
671#540—91no—
672#539—91no—
673#539—91no—
674#539—91no—
675#538—91no—
676#538—91no—
677#538—91no—
678#537—91no—
679#534—91no—
680#534—91no—
681#534—91no—
682#525—91no—
683C2×#123—91no—
684C2×#121—91no—
685C23×D3—31no—
686C23×D3—31no—
687C23×D3—31no—
688C23×D3—31no—
689C23×D3—31no—
690C23×D3—31no—
691C2×C3×D4C22×D311yescharacteristic
692C2×C3×D4C22×D311yescharacteristic
693C2×C3×D4C22×D311yescharacteristic
694C2×C3×D4C22×D311yescharacteristic
695C2×C3×D4C22×D311yescharacteristic
696C2×C3×D4C22×D311yescharacteristic
697C22×C3×C4C22×D311yescharacteristic
698C22×C3×C4C22×D311yescharacteristic
699C22×C3×C4C22×D311yescharacteristic
700C22×C3×C4C22×D311yescharacteristic
701C22×C3×C4C22×D311yescharacteristic
702C22×C3×C4C22×D311yescharacteristic
703C2×#67—31no—
704C2×#67—31no—
705C2×#67—31no—
706C2×#67—31no—
707C2×#67—31no—
708C2×#67—31no—
709C2×#67—31no—
710C2×#67—31no—
711C2×#67—31no—
712C2×#67—31no—
713C2×#67—31no—
714C2×#67—31no—
715C2×#67—31no—
716C2×#67—31no—
717C2×#67—31no—
718C2×#67—31no—
719C22×Dic3—31no—
720C22×Dic3—31no—
721C22×Dic3—31no—
722C22×Dic3—31no—
723#237—122no—
724#237—122no—
725D3×D4—122no—
726D3×D4—122no—
727D3×D4—122no—
728D3×D4—122no—
729D3×D4—122no—
730D3×D4—122no—
731#235—122no—
732C2×D12—31no—
733C2×D12—31no—
734C2×D12—31no—
735C2×D12—31no—
736C2×D12—31no—
737C2×D12—31no—
738C2×D12—31no—
739C2×D12—31no—
740C2×D12—31no—
741C2×D12—31no—
742C2×D12—31no—
743C2×D12—31no—
744C2×D12—31no—
745C2×D12—31no—
746C2×D12—31no—
747C2×D12—122no—
748C2×D12—122no—
749C2×C4×D3—31no—
750C2×C4×D3—31no—
751C2×C4×D3—31no—
752C2×C4×D3—31no—
753C2×C4×D3—31no—
754C2×C4×D3—31no—
755C2×C4×D3—31no—
756C2×C4×D3—31no—
757C2×C4×D3—31no—
758C2×C4×D3—31no—
759C2×C4×D3—31no—
760C2×C4×D3—31no—
761C2×C4×D3—31no—
762C2×C4×D3—122no—
763C2×Dic6—31no—
764C2×Dic6—31no—
765C2×Dic6—31no—
766C3×C4⋊C4C22×D311yescharacteristic
767C3×C4⋊C4C22×D311yescharacteristic
768C3×C4⋊C4C22×D311yescharacteristic
769C3×C4⋊C4C22×D311yescharacteristic
770C3×C4⋊C4C22×D311yescharacteristic
771C3×C4⋊C4C22×D311yescharacteristic
772C3×C4⋊C4C22×D311yescharacteristic
773C3×C4⋊C4C22×D311yescharacteristic
774C3×C4⋊C4C22×D311yescharacteristic
775C3×C4⋊C4C22×D311yescharacteristic
776C3×C22⋊C4C22×D311yescharacteristic
777C3×C22⋊C4C22×D311yescharacteristic
778C3×C22⋊C4C22×D311yescharacteristic
779C3×C22⋊C4C22×D311yescharacteristic
780C3×C22⋊C4C22×D311yescharacteristic
781C3×C22⋊C4C22×D311yescharacteristic
782C3×C22⋊C4C22×D311yescharacteristic
783C3×C22⋊C4C22×D311yescharacteristic
784C3×C22⋊C4C22×D311yescharacteristic
785C3×C22⋊C4C22×D311yescharacteristic
786C3×C42C22×D311yescharacteristic
787C3×C42C22×D311yescharacteristic
788C3×C42C22×D311yescharacteristic
789#217—31no—
790#217—31no—
791#217—31no—
792#217—31no—
793#217—31no—
794#217—31no—
795(C2×D3)⋊C4—31no—
796(C2×D3)⋊C4—31no—
797(C2×D3)⋊C4—31no—
798(C2×D3)⋊C4—31no—
799(C2×D3)⋊C4—31no—
800(C2×D3)⋊C4—31no—
801(C2×D3)⋊C4—31no—
802(C2×D3)⋊C4—31no—
803(C2×D3)⋊C4—31no—
804(C2×D3)⋊C4—31no—
805(C2×D3)⋊C4—31no—
806(C2×D3)⋊C4—31no—
807(C2×D3)⋊C4—31no—
808(C2×D3)⋊C4—31no—
809(C2×D3)⋊C4—31no—
810(C2×D3)⋊C4—31no—
811(C2×D3)⋊C4—31no—
812(C2×D3)⋊C4—31no—
813(C2×D3)⋊C4—31no—
814(C2×D3)⋊C4—31no—
815(C2×D3)⋊C4—31no—
816(C2×D3)⋊C4—31no—
817(C2×D3)⋊C4—31no—
818(C2×D3)⋊C4—31no—
819(C2×D3)⋊C4—31no—
820(C2×D3)⋊C4—31no—
821(C2×D3)⋊C4—31no—
822(C2×D3)⋊C4—31no—
823(C2×D3)⋊C4—31no—
824(C2×D3)⋊C4—31no—
825(C2×D3)⋊C4—31no—
826(C2×D3)⋊C4—31no—
827(C2×D3)⋊C4—31no—
828(C2×D3)⋊C4—31no—
829C4⋊Dic3—31no—
830C4⋊Dic3—31no—
831C4⋊Dic3—31no—
832C4⋊Dic3—31no—
833C4⋊Dic3—31no—
834C4⋊Dic3—31no—
835Dic3⋊C4—31no—
836Dic3⋊C4—31no—
837Dic3⋊C4—31no—
838Dic3⋊C4—31no—
839Dic3⋊C4—31no—
840Dic3⋊C4—31no—
841Dic3⋊C4—31no—
842Dic3⋊C4—31no—
843Dic3⋊C4—31no—
844Dic3⋊C4—31no—
845Dic3⋊C4—31no—
846Dic3⋊C4—31no—
847Dic3⋊C4—31no—
848Dic3⋊C4—31no—
849C4×Dic3—31no—
850C4×Dic3—31no—
851C4×Dic3—31no—
852C22×C9—21no—
853C22×C9—21no—
854C22×C9—21no—
855C22×C9—21no—
856C22×C9—21no—
857C22×C9—21no—
858C22×C9—21no—
859C22×C9—21no—
860C22×C9—21no—
861C22×C9—21no—
862C22×C9—21no—
863C22×C9H(5,𝔽2)12yes—
864C22×C9C2511yescharacteristic
865C2×D9—21no—
866C2×D9—21no—
867C2×D9—21no—
868C2×D9—21no—
869C2×D9—21no—
870C2×D9—21no—
871C2×D9—21no—
872C2×D9—21no—
873C2×D9—21no—
874C2×D9—21no—
875C2×D9—21no—
876C2×D9—21no—
877C2×D9—21no—
878C2×D9—21no—
879C2×D9—21no—
880C2×D9—21no—
881C2×D9—21no—
882C2×D9—21no—
883C2×D9—21no—
884C2×D9—21no—
885C2×D9—44no—
886C2×D9—82no—
887C2×D9—82no—
888C2×D9—82no—
889C2×D9—82no—
890C2×D9—82no—
891C2×D9H(5,𝔽2)12yes—
892C4×C9—21no—
893C4×C9—21no—
894C4×C9—21no—
895C4×C9—21no—
896C4×C9—21no—
897C4×C9—21no—
898C4×C9—21no—
899C4×C9—21no—
900C4×C9—21no—
901C4×C9—21no—
902C4×C9—21no—
903Dic9—21no—
904Dic9—21no—
905Dic9—21no—
906Dic9—21no—
907Dic9—21no—
908Dic9—21no—
909Dic9—21no—
910Dic9—21no—
911Dic9—21no—
912C2×#41—91no—
913C2×#41—91no—
914C2×#41—91no—
915C22×D4—91no—
916C22×D4—91no—
917C22×D4—91no—
918C22×D4—91no—
919C22×D4—91no—
920C22×D4—91no—
921C22×D4—91no—
922C22×D4—91no—
923C23×C4—91no—
924#127—91no—
925#127—91no—
926#126—91no—
927#126—91no—
928#126—91no—
929#126—91no—
930#126—91no—
931#126—91no—
932#126C2×D911yescharacteristic, complemented
933#126C2×D911yescharacteristic, complemented
934#125—91no—
935#125—91no—
936#125—91no—
937#125C2×D911yescharacteristic, complemented
938#124—91no—
939#124—91no—
940#124—91no—
941#124—91no—
942#124—91no—
943#124—91no—
944#123—91no—
945#123—91no—
946#123—91no—
947#123—91no—
948#123—91no—
949#123—91no—
950#123—91no—
951#123—91no—
952#123—91no—
953#123—91no—
954#123—91no—
955#123—91no—
956#123—91no—
957#123—91no—
958#123—91no—
959#123—91no—
960#123—91no—
961#123—91no—
962#123—91no—
963#123—91no—
964#123—91no—
965#123—91no—
966#123—91no—
967#123—91no—
968#123—91no—
969#123—91no—
970#123C2×D911yescharacteristic, complemented
971#123C2×D911yescharacteristic, complemented
972C22⋊Q8—91no—
973C22⋊Q8—91no—
974C22⋊Q8—91no—
975C22⋊Q8—91no—
976C22⋊Q8—91no—
977C22⋊Q8—91no—
978C22⋊Q8—91no—
979C22⋊Q8—91no—
980C22⋊Q8—91no—
981C22⋊Q8—91no—
982C22⋊Q8—91no—
983C22⋊Q8—91no—
984#121—91no—
985#121—91no—
986#121—91no—
987#121—91no—
988#121—91no—
989#121—91no—
990#121—91no—
991#121—91no—
992#121—91no—
993#121—91no—
994#121—91no—
995#121—91no—
996#121—91no—
997#121—91no—
998#121—91no—
999#121—91no—
1000#121—91no—
1001#121—91no—
1002#121—91no—
1003#121—91no—
1004#121—91no—
1005#121—91no—
1006#121—91no—
1007#121—91no—
1008#121—91no—
1009#121—91no—
1010#121—91no—
1011#121—91no—
1012#121—91no—
1013#121—91no—
1014#121—91no—
1015#121—91no—
1016#121C2×D911yescharacteristic, complemented
1017#121C2×D911yescharacteristic, complemented
1018#121C2×D911yescharacteristic, complemented
1019#121C2×D911yescharacteristic, complemented
1020#120—91no—
1021#120—91no—
1022#120—91no—
1023#120—91no—
1024#120—91no—
1025#120—91no—
1026#120—91no—
1027#120—91no—
1028#120—91no—
1029#120—91no—
1030#120—91no—
1031#120—91no—
1032#120—91no—
1033#120—91no—
1034#120—91no—
1035#120—91no—
1036C4×D4—91no—
1037C4×D4—91no—
1038C4×D4—91no—
1039C4×D4—91no—
1040C4×D4—91no—
1041C4×D4—91no—
1042C4×D4—91no—
1043C4×D4—91no—
1044C4×D4—91no—
1045C4×D4—91no—
1046C4×D4—91no—
1047C4×D4—91no—
1048C4×D4C2×D911yescharacteristic, complemented
1049C4×D4C2×D911yescharacteristic, complemented
1050C4×D4C2×D911yescharacteristic, complemented
1051C4×D4C2×D911yescharacteristic, complemented
1052#117—91no—
1053#117—91no—
1054#117C2×D911yescharacteristic, complemented
1055C2×C4⋊C4—91no—
1056C2×C4⋊C4—91no—
1057C2×C4⋊C4C2×D911yescharacteristic, complemented
1058C2×C22⋊C4—91no—
1059C2×C22⋊C4—91no—
1060C2×C22⋊C4—91no—
1061C2×C22⋊C4—91no—
1062C2×C22⋊C4—91no—
1063C2×C22⋊C4—91no—
1064C2×C22⋊C4—91no—
1065C2×C22⋊C4—91no—
1066C2×C22⋊C4—91no—
1067C23×C3C23×D311yescharacteristic
1068C23×C3C23×D311yescharacteristic
1069C23×C3C23×D311yescharacteristic
1070C23×C3C23×D311yescharacteristic
1071C22×D3—31no—
1072C22×D3—31no—
1073C22×D3—31no—
1074C22×D3—31no—
1075C22×D3—31no—
1076C22×D3—31no—
1077C22×D3—31no—
1078C22×D3—62no—
1079C22×D3—62no—
1080C22×D3—62no—
1081C22×D3—62no—
1082C22×D3—62no—
1083C22×D3—121no—
1084C22×D3—121no—
1085C22×D3—121no—
1086C22×D3—121no—
1087C22×D3—121no—
1088C22×D3—121no—
1089C22×D3—121no—
1090C22×D3—121no—
1091C22×D3—121no—
1092C22×D3—121no—
1093C22×D3—121no—
1094C22×D3—121no—
1095C22×D3—121no—
1096C3×D4—22no—
1097C3×D4—22no—
1098C3×D4—22no—
1099C3×D4—41no—
1100C3×D4—41no—
1101C3×D4—41no—
1102C2×C3×C4—41no—
1103C2×C3×C4—41no—
1104C2×C3×C4—41no—
1105C2×C3×C4—41no—
1106C2×C3×C4—41no—
1107C2×C3×C4—41no—
1108C2×C3×C4C23×D311yescharacteristic
1109C2×C3×C4C23×D311yescharacteristic
1110C2×C3×C4C23×D311yescharacteristic
1111C2×C3×C4C23×D311yescharacteristic
1112C2×C3×C4C23×D311yescharacteristic
1113C2×C3×C4C23×D311yescharacteristic
1114C2×C3×C4C23×D311yescharacteristic
1115C2×C3×C4C23×D311yescharacteristic
1116C2×C3×C4C23×D311yescharacteristic
1117C2×C3×C4C23×D311yescharacteristic
1118C2×C3×C4C23×D311yescharacteristic
1119#67—62no—
1120#67—62no—
1121#67—62no—
1122#67—62no—
1123#67—121no—
1124#67—121no—
1125#67—121no—
1126#67—121no—
1127#67—121no—
1128#67—121no—
1129#67—121no—
1130#67—121no—
1131#67—121no—
1132#67—121no—
1133#67—121no—
1134#67—121no—
1135C2×Dic3—31no—
1136C2×Dic3—31no—
1137C2×Dic3—31no—
1138C2×Dic3—31no—
1139C2×Dic3—31no—
1140C2×Dic3—31no—
1141C2×Dic3—31no—
1142C2×Dic3—31no—
1143C2×Dic3—31no—
1144C2×Dic3—62no—
1145C2×Dic3—121no—
1146C2×Dic3—121no—
1147C2×Dic3—121no—
1148D12—62no—
1149D12—62no—
1150D12—62no—
1151D12—121no—
1152D12—121no—
1153D12—121no—
1154D12—121no—
1155D12—121no—
1156D12—121no—
1157D12—121no—
1158D12—121no—
1159D12—121no—
1160D12—121no—
1161D12—121no—
1162D12—121no—
1163C4×D3—62no—
1164C4×D3—62no—
1165C4×D3—121no—
1166C4×D3—121no—
1167C4×D3—121no—
1168C4×D3—121no—
1169C4×D3—121no—
1170C4×D3—121no—
1171C4×D3—121no—
1172C4×D3—121no—
1173C4×D3—121no—
1174C4×D3—121no—
1175C4×D3—121no—
1176Dic6—121no—
1177Dic6—121no—
1178Dic6—121no—
1179C2×C9—22no—
1180C2×C9—41no—
1181C2×C9—41no—
1182C2×C9—41no—
1183C2×C9C2×H(5,𝔽2)11yescharacteristic
1184C2×C9C2×H(5,𝔽2)11yescharacteristic
1185C2×C9#58511yescharacteristic
1186D9—22no—
1187D9—41no—
1188D9—41no—
1189D9—41no—
1190D9—41no—
1191D9—41no—
1192D9—41no—
1193C24—91no—
1194C24—91no—
1195C24—91no—
1196C24—91no—
1197C24—91no—
1198C24—91no—
1199#41—362no—
1200#41—362no—
1201#41—362no—
1202C2×Q8—91no—
1203C2×Q8—91no—
1204C2×Q8—91no—
1205C2×D4—91no—
1206C2×D4—91no—
1207C2×D4—91no—
1208C2×D4—91no—
1209C2×D4—91no—
1210C2×D4—91no—
1211C2×D4—91no—
1212C2×D4—91no—
1213C2×D4—91no—
1214C2×D4—91no—
1215C2×D4—91no—
1216C2×D4—91no—
1217C2×D4—91no—
1218C2×D4—91no—
1219C2×D4—91no—
1220C2×D4—91no—
1221C2×D4—91no—
1222C2×D4—91no—
1223C2×D4—91no—
1224C2×D4—91no—
1225C2×D4—91no—
1226C2×D4—91no—
1227C2×D4—91no—
1228C2×D4—91no—
1229C2×D4—91no—
1230C2×D4—91no—
1231C2×D4—91no—
1232C2×D4—91no—
1233C2×D4—91no—
1234C2×D4—91no—
1235C2×D4—91no—
1236C2×D4—362no—
1237C2×D4—362no—
1238C2×D4—362no—
1239C2×D4—362no—
1240C2×D4—362no—
1241C2×D4—362no—
1242C2×D4—362no—
1243C2×D4—362no—
1244C2×D4C22×D911yescharacteristic
1245C2×D4C22×D911yescharacteristic
1246C2×D4C22×D911yescharacteristic
1247C2×D4C22×D911yescharacteristic
1248C2×D4C22×D911yescharacteristic
1249C2×D4C22×D911yescharacteristic
1250C22×C4—91no—
1251C22×C4—91no—
1252C22×C4—91no—
1253C22×C4—91no—
1254C22×C4—91no—
1255C22×C4—91no—
1256C22×C4—91no—
1257C22×C4—91no—
1258C22×C4—91no—
1259C22×C4—91no—
1260C22×C4—91no—
1261C22×C4—91no—
1262C22×C4—91no—
1263C22×C4—91no—
1264C22×C4—91no—
1265C22×C4—91no—
1266C22×C4—91no—
1267C22×C4—362no—
1268C22×C4C22×D911yescharacteristic
1269C22×C4C22×D911yescharacteristic
1270C22×C4C22×D911yescharacteristic
1271C22×C4C22×D911yescharacteristic
1272C22×C4C22×D911yescharacteristic
1273C22×C4C22×D911yescharacteristic
1274C4⋊C4—91no—
1275C4⋊C4—91no—
1276C4⋊C4—91no—
1277C4⋊C4—91no—
1278C4⋊C4—91no—
1279C4⋊C4—91no—
1280C4⋊C4—91no—
1281C4⋊C4—91no—
1282C4⋊C4—91no—
1283C4⋊C4—91no—
1284C4⋊C4—91no—
1285C4⋊C4—91no—
1286C4⋊C4—91no—
1287C4⋊C4—91no—
1288C4⋊C4—91no—
1289C4⋊C4—91no—
1290C4⋊C4—91no—
1291C4⋊C4—91no—
1292C4⋊C4—91no—
1293C4⋊C4—91no—
1294C4⋊C4C22×D911yescharacteristic
1295C4⋊C4C22×D911yescharacteristic
1296C4⋊C4C22×D911yescharacteristic
1297C4⋊C4C22×D911yescharacteristic
1298C4⋊C4C22×D911yescharacteristic
1299C4⋊C4C22×D911yescharacteristic
1300C4⋊C4C22×D911yescharacteristic
1301C4⋊C4C22×D911yescharacteristic
1302C4⋊C4C22×D911yescharacteristic
1303C4⋊C4C22×D911yescharacteristic
1304C22⋊C4—91no—
1305C22⋊C4—91no—
1306C22⋊C4—91no—
1307C22⋊C4—91no—
1308C22⋊C4—91no—
1309C22⋊C4—91no—
1310C22⋊C4—91no—
1311C22⋊C4—91no—
1312C22⋊C4—91no—
1313C22⋊C4—91no—
1314C22⋊C4—91no—
1315C22⋊C4—91no—
1316C22⋊C4—91no—
1317C22⋊C4—91no—
1318C22⋊C4—91no—
1319C22⋊C4—91no—
1320C22⋊C4—91no—
1321C22⋊C4—91no—
1322C22⋊C4—91no—
1323C22⋊C4—91no—
1324C22⋊C4—91no—
1325C22⋊C4—91no—
1326C22⋊C4—91no—
1327C22⋊C4—91no—
1328C22⋊C4—91no—
1329C22⋊C4—91no—
1330C22⋊C4—91no—
1331C22⋊C4—91no—
1332C22⋊C4—91no—
1333C22⋊C4—91no—
1334C22⋊C4—91no—
1335C22⋊C4—91no—
1336C22⋊C4—91no—
1337C22⋊C4—91no—
1338C22⋊C4—91no—
1339C22⋊C4—91no—
1340C22⋊C4—91no—
1341C22⋊C4—91no—
1342C22⋊C4—91no—
1343C22⋊C4—91no—
1344C22⋊C4C22×D911yescharacteristic
1345C22⋊C4C22×D911yescharacteristic
1346C22⋊C4C22×D911yescharacteristic
1347C22⋊C4C22×D911yescharacteristic
1348C22⋊C4C22×D911yescharacteristic
1349C22⋊C4C22×D911yescharacteristic
1350C22⋊C4C22×D911yescharacteristic
1351C22⋊C4C22×D911yescharacteristic
1352C22⋊C4C22×D911yescharacteristic
1353C22⋊C4C22×D911yescharacteristic
1354C42—91no—
1355C42—91no—
1356C42—91no—
1357C42C22×D911yescharacteristic
1358C42C22×D911yescharacteristic
1359C42C22×D911yescharacteristic
1360C22×C3—21no—
1361C22×C3—21no—
1362C22×C3—21no—
1363C22×C3—21no—
1364C22×C3—21no—
1365C22×C3—21no—
1366C22×C3—21no—
1367C22×C3—21no—
1368C22×C3—21no—
1369C22×C3—21no—
1370C22×C3—21no—
1371C22×C3#100912yes—
1372C22×C3C24×D311yescharacteristic
1373C2×D3—32no—
1374C2×D3—61no—
1375C2×D3—61no—
1376C2×D3—61no—
1377C2×D3—61no—
1378C2×D3—61no—
1379C2×D3—61no—
1380C2×D3—61no—
1381C2×D3—61no—
1382C2×D3—61no—
1383C2×D3—61no—
1384C2×D3—61no—
1385C2×D3—61no—
1386C2×D3—61no—
1387C2×D3—61no—
1388C2×D3—61no—
1389C2×D3—61no—
1390C2×D3—61no—
1391C2×D3—61no—
1392C2×D3—61no—
1393C2×D3—61no—
1394C2×D3—124no—
1395C2×D3—242no—
1396C2×D3—242no—
1397C2×D3—242no—
1398C2×D3—242no—
1399C2×D3—242no—
1400C3×C4—21no—
1401C3×C4—21no—
1402C3×C4—21no—
1403C3×C4—21no—
1404C3×C4—21no—
1405C3×C4—21no—
1406C3×C4—21no—
1407C3×C4—21no—
1408C3×C4—21no—
1409C3×C4—21no—
1410C3×C4—21no—
1411Dic3—61no—
1412Dic3—61no—
1413Dic3—61no—
1414Dic3—61no—
1415Dic3—61no—
1416Dic3—61no—
1417Dic3—61no—
1418Dic3—61no—
1419Dic3—61no—
1420C9#353411yescharacteristic, complemented, Sylow
1421C23—91no—
1422C23—91no—
1423C23—91no—
1424C23—91no—
1425C23—91no—
1426C23—91no—
1427C23—91no—
1428C23—182no—
1429C23—182no—
1430C23—182no—
1431C23—182no—
1432C23—182no—
1433C23—361no—
1434C23—361no—
1435C23—361no—
1436C23—361no—
1437C23—361no—
1438C23—361no—
1439C23—361no—
1440C23—361no—
1441C23—361no—
1442C23—361no—
1443C23—361no—
1444C23—361no—
1445C23—361no—
1446C23C23×D911yescharacteristic
1447C23C23×D911yescharacteristic
1448C23C23×D911yescharacteristic
1449C23C23×D911yescharacteristic
1450Q8—361no—
1451Q8—361no—
1452Q8—361no—
1453D4—22no—
1454D4—22no—
1455D4—22no—
1456D4—41no—
1457D4—41no—
1458D4—41no—
1459D4—182no—
1460D4—182no—
1461D4—182no—
1462D4—182no—
1463D4—182no—
1464D4—182no—
1465D4—182no—
1466D4—361no—
1467D4—361no—
1468D4—361no—
1469D4—361no—
1470D4—361no—
1471D4—361no—
1472D4—361no—
1473D4—361no—
1474D4—361no—
1475D4—361no—
1476D4—361no—
1477D4—361no—
1478D4—361no—
1479D4—361no—
1480D4—361no—
1481D4—361no—
1482D4—361no—
1483D4—361no—
1484D4—361no—
1485D4—361no—
1486D4—361no—
1487D4—361no—
1488D4—361no—
1489D4—361no—
1490C2×C4—41no—
1491C2×C4—41no—
1492C2×C4—41no—
1493C2×C4—41no—
1494C2×C4—41no—
1495C2×C4—41no—
1496C2×C4—91no—
1497C2×C4—91no—
1498C2×C4—91no—
1499C2×C4—91no—
1500C2×C4—91no—
1501C2×C4—91no—
1502C2×C4—91no—
1503C2×C4—91no—
1504C2×C4—91no—
1505C2×C4—182no—
1506C2×C4—182no—
1507C2×C4—182no—
1508C2×C4—361no—
1509C2×C4—361no—
1510C2×C4—361no—
1511C2×C4—361no—
1512C2×C4—361no—
1513C2×C4—361no—
1514C2×C4—361no—
1515C2×C4—361no—
1516C2×C4—361no—
1517C2×C4—361no—
1518C2×C4—361no—
1519C2×C4—361no—
1520C2×C4—361no—
1521C2×C4—361no—
1522C2×C4C23×D911yescharacteristic
1523C2×C4C23×D911yescharacteristic
1524C2×C4C23×D911yescharacteristic
1525C2×C4C23×D911yescharacteristic
1526C2×C4C23×D911yescharacteristic
1527C2×C4C23×D911yescharacteristic
1528C2×C4C23×D911yescharacteristic
1529C2×C4C23×D911yescharacteristic
1530C2×C4C23×D911yescharacteristic
1531C2×C4C23×D911yescharacteristic
1532C2×C4C23×D911yescharacteristic
1533C2×C3—22no—
1534C2×C3—41no—
1535C2×C3—41no—
1536C2×C3—41no—
1537C2×C3C2×#100911yescharacteristic
1538C2×C3#596411yescharacteristic
1539C2×C3D3×H(5,𝔽2)11yescharacteristic
1540D3—62no—
1541D3—121no—
1542D3—121no—
1543D3—121no—
1544D3—121no—
1545D3—121no—
1546D3—121no—
1547C22—21no—
1548C22—21no—
1549C22—21no—
1550C22—21no—
1551C22—21no—
1552C22—21no—
1553C22—21no—
1554C22—21no—
1555C22—21no—
1556C22—21no—
1557C22—21no—
1558C22—92no—
1559C22—181no—
1560C22—181no—
1561C22—181no—
1562C22—181no—
1563C22—181no—
1564C22—181no—
1565C22—181no—
1566C22—181no—
1567C22—181no—
1568C22—181no—
1569C22—181no—
1570C22—181no—
1571C22—181no—
1572C22—181no—
1573C22—181no—
1574C22—181no—
1575C22—181no—
1576C22—181no—
1577C22—181no—
1578C22—181no—
1579C22—364no—
1580C22—722no—
1581C22—722no—
1582C22—722no—
1583C22—722no—
1584C22—722no—
1585C22#6371512yes—
1586C22C24×D911yescharacteristic
1587C4—21no—
1588C4—21no—
1589C4—21no—
1590C4—21no—
1591C4—21no—
1592C4—21no—
1593C4—21no—
1594C4—21no—
1595C4—21no—
1596C4—21no—
1597C4—21no—
1598C4—181no—
1599C4—181no—
1600C4—181no—
1601C4—181no—
1602C4—181no—
1603C4—181no—
1604C4—181no—
1605C4—181no—
1606C4—181no—
1607C3#8691511yescharacteristic
1608C2—22no—
1609C2—41no—
1610C2—41no—
1611C2—41no—
1612C2—182no—
1613C2—361no—
1614C2—361no—
1615C2—361no—
1616C2—361no—
1617C2—361no—
1618C2—361no—
1619C2C2×#6371511yescharacteristic
1620C2#1059313911yescharacteristic
1621C2D9×H(5,𝔽2)11yescharacteristic
subgroupG/H
centerC22C24×D9
commutator, cosocleC22×C9C25
Frattini, socleC22×C3C24×D3
FittingC9×#553C2
hypercenter#553D9
hypocenterC9#3534
LCSG ▷ C22×C9 ▷ C9
UCSC1 ◁ C22 ◁ #553

Complements

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

NH ≅ G/Ntype
1. C9×#553C2semidirect
2. #10589813C2semidirect
3. #10589809C2semidirect
4. #10589807C2semidirect
5. #10589806C2semidirect
6. #10589802C2semidirect
7. #10589794C2semidirect
8. #10589769C2semidirect
9. #10589765C2semidirect
10. #10589756C2semidirect
11. #10589755C2semidirect
12. #10589722C2semidirect
13. #10589712C2semidirect
14. #10589712C2semidirect
15. #10589711C2semidirect
16. #10589707C2semidirect
17. #10589707C2semidirect
18. D9×#121C2semidirect
19. #10589699C2semidirect
20. #10589666C2semidirect
21. #10589662C2semidirect
22. #10589662C2semidirect
23. #10589656C2semidirect
24. #10589656C2semidirect
25. #10589652C2semidirect
26. D4×D36C2semidirect
27. #10589649C2semidirect
28. #10589637C2semidirect
29. #10589629C2semidirect
30. #10589616C2semidirect
31. C2×#63456C2semidirect
33. C2×#3699C22semidirect
34. C2×#3699C22semidirect
35. C2×D4×D9C22semidirect
36. C2×D4×D9C22semidirect
37. C2×D4×D9C22semidirect
38. C2×D4×D9C22semidirect
39. C2×D4×D9C22semidirect
40. C2×D4×D9C22semidirect
41. C2×#3697C22semidirect
43. C22×D36C22semidirect
44. C22×C4×D9C22semidirect
45. C9×#126C22semidirect
46. C9×#126C22semidirect
47. C9×#125C22semidirect
48. C9×#123C22semidirect
49. C9×#123C22semidirect
50. C9×#121C22semidirect
51. C9×#121C22semidirect
52. C9×#121C22semidirect
53. C9×#121C22semidirect
54. C4×D4×C9C22semidirect
55. C4×D4×C9C22semidirect
56. C4×D4×C9C22semidirect
57. C4×D4×C9C22semidirect
58. C9×#117C22semidirect
59. C2×C9×C4⋊C4C22semidirect
60. #63502C22semidirect
62. #63501C22semidirect
63. #63501C22semidirect
64. #63501C22semidirect
65. #63501C22semidirect
66. #63501C22semidirect
67. #63501C22semidirect
68. #63500C22semidirect
69. #63499C22semidirect
70. #63499C22semidirect
71. #63499C22semidirect
72. #63499C22semidirect
73. #63499C22semidirect
74. #63499C22semidirect
75. #63497C22semidirect
76. #63492C22semidirect
77. #63492C22semidirect
78. #63492C22semidirect
79. #63492C22semidirect
80. #63492C22semidirect
81. #63492C22semidirect
82. #63492C22semidirect
83. #63491C22semidirect
84. #63491C22semidirect
85. C4×#611C22semidirect
86. C4×#611C22semidirect
87. C4×#611C22semidirect
88. C4×#611C22semidirect
89. C2×(C2×D9)⋊C4C22semidirect
90. C2×(C2×D9)⋊C4C22semidirect
91. C2×(C2×D9)⋊C4C22semidirect
92. C2×(C2×D9)⋊C4C22semidirect
93. C2×(C2×D9)⋊C4C22semidirect
94. #63486C22semidirect
95. C2×Dic9⋊C4C22semidirect
96. #63460C22semidirect
97. #63460C22semidirect
98. #63460C22semidirect
99. #63459C22semidirect
100. #63459C22semidirect
101. #63458C22semidirect
102. #63458C22semidirect
103. #63458C22semidirect
104. #63458C22semidirect
105. #63458C22semidirect
106. #63458C22semidirect
108. #63457C22semidirect
109. #63457C22semidirect
110. #63457C22semidirect
111. #63457C22semidirect
112. #63457C22semidirect
113. #63457C22semidirect
114. #63456C22semidirect
115. #63456C22semidirect
116. #63456C22semidirect
117. #63456C22semidirect
118. #63456C22semidirect
119. #63456C22semidirect
120. #63456C22semidirect
121. #63456C22semidirect
122. #63456C22semidirect
123. #63456C22semidirect
124. #63456C22semidirect
125. #63456C22semidirect
126. #63456C22semidirect
127. #63456C22semidirect
128. #63456C22semidirect
129. #63456C22semidirect
130. #63455C22semidirect
131. #63455C22semidirect
132. #63454C22semidirect
133. C4⋊C4×D9C22semidirect
134. #63452C22semidirect
135. #63451C22semidirect
136. #63448C22semidirect
137. #63448C22semidirect
138. #63448C22semidirect
139. #63447C22semidirect
140. #63447C22semidirect
141. #63447C22semidirect
143. #63446C22semidirect
144. #63446C22semidirect
145. #63446C22semidirect
146. #63446C22semidirect
147. #63446C22semidirect
148. #63446C22semidirect
149. #63446C22semidirect
150. #63446C22semidirect
151. #63446C22semidirect
152. #63445C22semidirect
153. #63445C22semidirect
154. #63445C22semidirect
155. #63445C22semidirect
158. #63444C22semidirect
159. #63444C22semidirect
160. #63444C22semidirect
161. #63444C22semidirect
162. #63444C22semidirect
163. #63444C22semidirect
164. #63444C22semidirect
165. #63444C22semidirect
166. #611⋊C4C22semidirect
167. #611⋊C4C22semidirect
168. C22⋊C4×D9C22semidirect
169. C22⋊C4×D9C22semidirect
170. C22⋊C4×D9C22semidirect
171. C22⋊C4×D9C22semidirect
172. #63441C22semidirect
173. #63440C22semidirect
174. #63440C22semidirect
175. #63440C22semidirect
176. #63438C22semidirect
177. #63438C22semidirect
178. #63437C22semidirect
179. #63437C22semidirect
180. #63437C22semidirect
181. #63436C22semidirect
182. C4×D36C22semidirect
183. C4×D36C22semidirect
184. C4×D36C22semidirect
185. C4×D36C22semidirect
186. #63434C22semidirect
187. #63432C22semidirect
659. #553D9semidirect
932. #126C2×D9semidirect
933. #126C2×D9semidirect
937. #125C2×D9semidirect
970. #123C2×D9semidirect
971. #123C2×D9semidirect
1016. #121C2×D9semidirect
1017. #121C2×D9semidirect
1018. #121C2×D9semidirect
1019. #121C2×D9semidirect
1048. C4×D4C2×D9semidirect
1049. C4×D4C2×D9semidirect
1050. C4×D4C2×D9semidirect
1051. C4×D4C2×D9semidirect
1054. #117C2×D9semidirect
1057. C2×C4⋊C4C2×D9semidirect
1420. C9#3534semidirect

Maximal subgroups

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

subgroupindex
C9×#5532
#105898132
#105898092
#105898072
#105898062
#105898022
#105897942
#105897692
#105897652
#105897562
#105897552
#105897222
#105897122
#105897112
#105897072
D9×#1212
#105896992
#105896662
#105896622
#105896562
#105896522
D4×D362
#105896492
#105896372
#105896292
#105896162
C2×#634562
#869153