Finite Group Databasebeta

← #11904835

Subgroups — #11904835

Order 1152.

1992 conjugacy classes of subgroups.

The subgroup lattice has 1656 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C9×#551C211yesmaximal, characteristic, complemented
2#10589807C211yesmaximal, characteristic, complemented
3#10589807C211yesmaximal, characteristic, complemented
4#10589806C211yesmaximal, characteristic, complemented
5#10589806C211yesmaximal, characteristic, complemented
6#10589780C211yesmaximal, characteristic, complemented
7#10589778C211yesmaximal, characteristic, complemented
8#10589760C211yesmaximal, characteristic, complemented
9#10589759C211yesmaximal, characteristic, complemented
10#10589758C211yesmaximal, characteristic, complemented
11#10589756C211yesmaximal, characteristic, complemented
12#10589756C211yesmaximal, characteristic, complemented
13#10589755C211yesmaximal, characteristic, complemented
14#10589739C211yesmaximal, characteristic, complemented
15#10589736C211yesmaximal, characteristic, complemented
16#10589732C211yesmaximal, characteristic, complemented
17#10589729C211yesmaximal, characteristic, complemented
18#10589693C211yesmaximal, characteristic, complemented
19D9×#120C211yesmaximal, characteristic, complemented
20#10589656C211yesmaximal, characteristic, complemented
21#10589652C211yesmaximal, characteristic, complemented
22#10589649C211yesmaximal, characteristic, complemented
23#10589647C211yesmaximal, characteristic, complemented
24#10589629C211yesmaximal, characteristic, complemented
25#10589629C211yesmaximal, characteristic, complemented
26#10589626C211yesmaximal, characteristic, complemented
27#10589623C211yesmaximal, characteristic, complemented
28#10589597C211yesmaximal, characteristic, complemented
29#10589592C211yesmaximal, characteristic, complemented
30C2×#63444C211yesmaximal, characteristic, complemented
31C2×C22⋊C4×D9C211yesmaximal, characteristic, complemented
32#86815—31nomaximal
33C24×D9C2211yescharacteristic
34C22×#611C2211yescharacteristic, complemented
35C2×#3701C2211yescharacteristic, complemented
36C2×#3699C2211yescharacteristic, complemented
37C2×D4×D9C2211yescharacteristic
38C2×D4×D9C2211yescharacteristic, complemented
39C2×D4×D9C2211yescharacteristic, complemented
40C2×#3697C2211yescharacteristic, complemented
41C2×#3697C2211yescharacteristic, complemented
42C22×D36C2211yescharacteristic
43C22×D36C2211yescharacteristic, complemented
44C22×C4×D9C2211yescharacteristic, complemented
45C22×C4×D9C2211yescharacteristic, complemented
46C9×#126C2211yescharacteristic, complemented
47C9×#126C2211yescharacteristic, complemented
48C9×#124C2211yescharacteristic, complemented
49C9×#123C2211yescharacteristic, complemented
50C9×#123C2211yescharacteristic, complemented
51C9×#123C2211yescharacteristic, complemented
52C9×C22⋊Q8C2211yescharacteristic, complemented
53C9×C22⋊Q8C2211yescharacteristic, complemented
54C9×#120C2211yescharacteristic
55C4×D4×C9C2211yescharacteristic, complemented
56C4×D4×C9C2211yescharacteristic, complemented
57C9×#117C2211yescharacteristic, complemented
58C9×#117C2211yescharacteristic, complemented
59C2×C9×C22⋊C4C2211yescharacteristic, complemented
60C2×C9×C22⋊C4C2211yescharacteristic, complemented
61#63515C2211yescharacteristic
62C2×#3676C2211yescharacteristic, complemented
63#63509C2211yescharacteristic, complemented
64#63508C2211yescharacteristic, complemented
65#63508C2211yescharacteristic, complemented
66#63501C2211yescharacteristic, complemented
67#63501C2211yescharacteristic, complemented
68#63500C2211yescharacteristic, complemented
69#63499C2211yescharacteristic
70#63499C2211yescharacteristic, complemented
71#63499C2211yescharacteristic, complemented
72#63499C2211yescharacteristic, complemented
73D4×Dic9C2211yescharacteristic, complemented
74#63492C2211yescharacteristic, complemented
75#63492C2211yescharacteristic, complemented
76#63491C2211yescharacteristic, complemented
77#63491C2211yescharacteristic, complemented
78C4×#611C2211yescharacteristic, complemented
79C4×#611C2211yescharacteristic, complemented
80C4×#611C2211yescharacteristic, complemented
81C2×(C2×D9)⋊C4C2211yescharacteristic
82C2×(C2×D9)⋊C4C2211yescharacteristic, complemented
83C2×(C2×D9)⋊C4C2211yescharacteristic, complemented
84C2×(C2×D9)⋊C4C2211yescharacteristic, complemented
85C2×(C2×D9)⋊C4C2211yescharacteristic, complemented
86#63488C2211yescharacteristic, complemented
87#63486C2211yescharacteristic, complemented
88#63460C2211yescharacteristic, complemented
89#63460C2211yescharacteristic, complemented
90#63460C2211yescharacteristic, complemented
91#63459C2211yescharacteristic, complemented
92#63459C2211yescharacteristic, complemented
93#63459C2211yescharacteristic, complemented
94#63458C2211yescharacteristic, complemented
95#63458C2211yescharacteristic, complemented
96#63458C2211yescharacteristic, complemented
97#63458C2211yescharacteristic, complemented
98#63458C2211yescharacteristic, complemented
99#63457C2211yescharacteristic, complemented
100#63457C2211yescharacteristic, complemented
101#63457C2211yescharacteristic, complemented
102#63457C2211yescharacteristic, complemented
103#63457C2211yescharacteristic, complemented
104#63456C2211yescharacteristic, complemented
105#63456C2211yescharacteristic, complemented
106#63456C2211yescharacteristic, complemented
107#63456C2211yescharacteristic, complemented
108#63456C2211yescharacteristic, complemented
109#63456C2211yescharacteristic, complemented
110#63456C2211yescharacteristic, complemented
111#63456C2211yescharacteristic, complemented
112#63455C2211yescharacteristic, complemented
113#63455C2211yescharacteristic, complemented
114#63455C2211yescharacteristic, complemented
115#63455C2211yescharacteristic, complemented
116#63455C2211yescharacteristic, complemented
117#63455C2211yescharacteristic, complemented
118#63454C2211yescharacteristic, complemented
119#63454C2211yescharacteristic, complemented
120#63448C2211yescharacteristic, complemented
121#63448C2211yescharacteristic, complemented
122#63448C2211yescharacteristic, complemented
123#63447C2211yescharacteristic, complemented
124#63447C2211yescharacteristic, complemented
125#63447C2211yescharacteristic, complemented
126#63447C2211yescharacteristic, complemented
127#63446C2211yescharacteristic, complemented
128#63446C2211yescharacteristic, complemented
129#63446C2211yescharacteristic, complemented
130#63446C2211yescharacteristic, complemented
131#63446C2211yescharacteristic, complemented
132#63446C2211yescharacteristic, complemented
133#63445C2211yescharacteristic, complemented
134#63445C2211yescharacteristic, complemented
135#63445C2211yescharacteristic, complemented
136#63445C2211yescharacteristic, complemented
137#63444C2211yescharacteristic
138#63444C2211yescharacteristic
139#63444C2211yescharacteristic
140#63444C2211yescharacteristic
141#63444C2211yescharacteristic
142#63444C2211yescharacteristic, complemented
143#63444C2211yescharacteristic, complemented
144#63444C2211yescharacteristic, complemented
145#63444C2211yescharacteristic, complemented
146#63444C2211yescharacteristic, complemented
147#63444C2211yescharacteristic, complemented
148#63444C2211yescharacteristic, complemented
149#63444C2211yescharacteristic, complemented
150#63444C2211yescharacteristic, complemented
151#611⋊C4C2211yescharacteristic, complemented
152#611⋊C4C2211yescharacteristic, complemented
153#611⋊C4C2211yescharacteristic, complemented
154#611⋊C4C2211yescharacteristic, complemented
155#611⋊C4C2211yescharacteristic, complemented
156C22⋊C4×D9C2211yescharacteristic
157C22⋊C4×D9C2211yescharacteristic
158C22⋊C4×D9C2211yescharacteristic
159C22⋊C4×D9C2211yescharacteristic, complemented
160C22⋊C4×D9C2211yescharacteristic, complemented
161C22⋊C4×D9C2211yescharacteristic, complemented
162C22⋊C4×D9C2211yescharacteristic, complemented
163C22⋊C4×D9C2211yescharacteristic, complemented
164C22⋊C4×D9C2211yescharacteristic, complemented
165C22⋊C4×D9C2211yescharacteristic, complemented
166C22⋊C4×D9C2211yescharacteristic, complemented
167C22⋊C4×D9C2211yescharacteristic, complemented
168C22⋊C4×D9C2211yescharacteristic, complemented
169C22⋊C4×D9C2211yescharacteristic, complemented
170#63441C2211yescharacteristic, complemented
171#63441C2211yescharacteristic, complemented
172#63440C2211yescharacteristic, complemented
173#63440C2211yescharacteristic, complemented
174#63440C2211yescharacteristic, complemented
175#63439C2211yescharacteristic, complemented
176#63438C2211yescharacteristic, complemented
177#63437C2211yescharacteristic, complemented
178#63437C2211yescharacteristic, complemented
179C4×D36C2211yescharacteristic, complemented
180C4×D36C2211yescharacteristic, complemented
181C4×D36C2211yescharacteristic, complemented
182C4×D36C2211yescharacteristic, complemented
183C4×D36C2211yescharacteristic, complemented
184C4×D36C2211yescharacteristic, complemented
185C4×D36C2211yescharacteristic, complemented
186#63434C2211yescharacteristic, complemented
187#63434C2211yescharacteristic, complemented
188C3×#551D311yescharacteristic
189#5705—31no—
190#5705—31no—
191#5704—31no—
192#5704—31no—
193#5678—31no—
194#5676—31no—
195#5658—31no—
196#5657—31no—
197#5656—31no—
198#5654—31no—
199#5654—31no—
200#5653—31no—
201#5637—31no—
202#5634—31no—
203#5630—31no—
204#5627—31no—
205#5591—31no—
206D3×#120—31no—
207#5554—31no—
208#5550—31no—
209#5547—31no—
210#5545—31no—
211#5527—31no—
212#5527—31no—
213#5524—31no—
214#5521—31no—
215#5495—31no—
216#5490—31no—
217C2×#882—31no—
218C2×D3×C22⋊C4—31no—
219C24×C9C2311yescharacteristic
220C23×D9—24no—
221C23×D9—42no—
222C23×D9—42no—
223C23×D9C2311yescharacteristic
224C23×D9C2311yescharacteristic
225C23×D9C2311yescharacteristic
226C23×D9C2311yescharacteristic
227C23×D9C2311yescharacteristic
228C23×D9C2311yescharacteristic
229C23×D9C2311yescharacteristic
230C23×D9C2311yescharacteristic
231C2×Q8×C9C2311yescharacteristic, complemented
232C2×D4×C9C2311yescharacteristic
233C2×D4×C9C2311yescharacteristic
234C2×D4×C9C2311yescharacteristic
235C22×C4×C9C2311yescharacteristic
236C22×C4×C9C2311yescharacteristic
237C22×C4×C9C2311yescharacteristic
238C22×C4×C9C2311yescharacteristic
239C22×C4×C9C2311yescharacteristic, complemented
240C2×#611—42no—
241C2×#611C2311yescharacteristic
242C2×#611C2311yescharacteristic
243C2×#611C2311yescharacteristic
244C2×#611C2311yescharacteristic
245C2×#611C2311yescharacteristic
246C2×#611C2311yescharacteristic
247C2×#611C2311yescharacteristic
248C2×#611C2311yescharacteristic
249C2×#611C2311yescharacteristic
250C2×#611C2311yescharacteristic
251C2×#611C2311yescharacteristic, complemented
252C2×#611C2311yescharacteristic, complemented
253C22×Dic9C2311yescharacteristic
254C22×Dic9C2311yescharacteristic
255C22×Dic9C2311yescharacteristic
256C22×Dic9C2311yescharacteristic, complemented
257#3701—42no—
258#3699—42no—
259D4×D9—24no—
260D4×D9—42no—
261D4×D9—42no—
262#3697—42no—
263#3697—42no—
264C2×D36—24no—
265C2×D36—42no—
266C2×D36C2311yescharacteristic
267C2×D36C2311yescharacteristic
268C2×D36C2311yescharacteristic
269C2×D36C2311yescharacteristic
270C2×D36C2311yescharacteristic
271C2×D36C2311yescharacteristic
272C2×D36C2311yescharacteristic
273C2×D36C2311yescharacteristic
274C2×D36C2311yescharacteristic
275C2×D36C2311yescharacteristic
276C2×D36C2311yescharacteristic
277C2×D36C2311yescharacteristic, complemented
278C2×D36C2311yescharacteristic, complemented
279C2×C4×D9—42no—
280C2×C4×D9—42no—
281C2×C4×D9C2311yescharacteristic
282C2×C4×D9C2311yescharacteristic
283C2×C4×D9C2311yescharacteristic
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, complemented
293C2×C4×D9C2311yescharacteristic, complemented
294C2×C4×D9C2311yescharacteristic, complemented
295C2×C4×D9C2311yescharacteristic, complemented
296C2×C4×D9C2311yescharacteristic, complemented
297C2×C4×D9C2311yescharacteristic, complemented
298C2×Dic18C2311yescharacteristic, complemented
299C2×Dic18C2311yescharacteristic, complemented
300C2×Dic18C2311yescharacteristic, complemented
301C9×C4⋊C4C2311yescharacteristic, complemented
302C9×C4⋊C4C2311yescharacteristic, complemented
303C9×C4⋊C4C2311yescharacteristic, complemented
304C9×C4⋊C4C2311yescharacteristic, complemented
305C9×C4⋊C4C2311yescharacteristic, complemented
306C9×C4⋊C4C2311yescharacteristic, complemented
307C9×C4⋊C4C2311yescharacteristic, complemented
308C9×C4⋊C4C2311yescharacteristic, complemented
309C9×C22⋊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
320C9×C22⋊C4C2311yescharacteristic, complemented
321C9×C22⋊C4C2311yescharacteristic, complemented
322C9×C22⋊C4C2311yescharacteristic, complemented
323C42×C9C2311yescharacteristic, complemented
324C42×C9C2311yescharacteristic, complemented
325C42×C9C2311yescharacteristic, complemented
326#3676C2311yescharacteristic
327#3676C2311yescharacteristic
328#3676C2311yescharacteristic
329#3676C2311yescharacteristic
330#3676C2311yescharacteristic
331#3676C2311yescharacteristic
332#3676C2311yescharacteristic
333#3676C2311yescharacteristic, complemented
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, complemented
357(C2×D9)⋊C4C2311yescharacteristic, complemented
358(C2×D9)⋊C4C2311yescharacteristic, complemented
359(C2×D9)⋊C4C2311yescharacteristic, complemented
360(C2×D9)⋊C4C2311yescharacteristic, complemented
361(C2×D9)⋊C4C2311yescharacteristic, complemented
362(C2×D9)⋊C4C2311yescharacteristic, complemented
363(C2×D9)⋊C4C2311yescharacteristic, complemented
364(C2×D9)⋊C4C2311yescharacteristic, complemented
365(C2×D9)⋊C4C2311yescharacteristic, complemented
366(C2×D9)⋊C4C2311yescharacteristic, complemented
367(C2×D9)⋊C4C2311yescharacteristic, complemented
368C4⋊Dic9C2311yescharacteristic, complemented
369C4⋊Dic9C2311yescharacteristic, complemented
370C4⋊Dic9C2311yescharacteristic, complemented
371C4⋊Dic9C2311yescharacteristic, complemented
372C4⋊Dic9C2311yescharacteristic, complemented
373C4⋊Dic9C2311yescharacteristic, complemented
374Dic9⋊C4C2311yescharacteristic, complemented
375Dic9⋊C4C2311yescharacteristic, complemented
376Dic9⋊C4C2311yescharacteristic, complemented
377Dic9⋊C4C2311yescharacteristic, complemented
378Dic9⋊C4C2311yescharacteristic, complemented
379Dic9⋊C4C2311yescharacteristic, complemented
380Dic9⋊C4C2311yescharacteristic, complemented
381Dic9⋊C4C2311yescharacteristic, complemented
382Dic9⋊C4C2311yescharacteristic, complemented
383Dic9⋊C4C2311yescharacteristic, complemented
384C4×Dic9C2311yescharacteristic, complemented
385C4×Dic9C2311yescharacteristic, complemented
386C4×Dic9C2311yescharacteristic, complemented
387C4×Dic9C2311yescharacteristic, complemented
388C4×Dic9C2311yescharacteristic, complemented
389#3490—91noSylow
390C24×D3—31no—
391C22×#67—31no—
392C2×#239—31no—
393C2×#237—31no—
394C2×D3×D4—31no—
395C2×D3×D4—31no—
396C2×D3×D4—31no—
397C2×#235—31no—
398C2×#235—31no—
399C22×D12—31no—
400C22×D12—31no—
401C22×C4×D3—31no—
402C22×C4×D3—31no—
403C3×#126C2×D311yescharacteristic
404C3×#126C2×D311yescharacteristic
405C3×#124C2×D311yescharacteristic
406C3×#123C2×D311yescharacteristic
407C3×#123C2×D311yescharacteristic
408C3×#123C2×D311yescharacteristic
409C3×C22⋊Q8C2×D311yescharacteristic
410C3×C22⋊Q8C2×D311yescharacteristic
411C3×#120C2×D311yescharacteristic
412C3×C4×D4C2×D311yescharacteristic
413C3×C4×D4C2×D311yescharacteristic
414C3×#117C2×D311yescharacteristic
415C3×#117C2×D311yescharacteristic
416C2×C3×C22⋊C4C2×D311yescharacteristic
417C2×C3×C22⋊C4C2×D311yescharacteristic
418#953—31no—
419C2×#217—31no—
420#947—31no—
421#946—31no—
422#946—31no—
423#939—31no—
424#939—31no—
425#938—31no—
426#937—31no—
427#937—31no—
428#937—31no—
429#937—31no—
430D4×Dic3—31no—
431#930—31no—
432#930—31no—
433#929—31no—
434#929—31no—
435C4×#67—31no—
436C4×#67—31no—
437C4×#67—31no—
438C2×(C2×D3)⋊C4—31no—
439C2×(C2×D3)⋊C4—31no—
440C2×(C2×D3)⋊C4—31no—
441C2×(C2×D3)⋊C4—31no—
442C2×(C2×D3)⋊C4—31no—
443#926—31no—
444#924—31no—
445#898—31no—
446#898—31no—
447#898—31no—
448#897—31no—
449#897—31no—
450#897—31no—
451#896—31no—
452#896—31no—
453#896—31no—
454#896—31no—
455#896—31no—
456#895—31no—
457#895—31no—
458#895—31no—
459#895—31no—
460#895—31no—
461#894—31no—
462#894—31no—
463#894—31no—
464#894—31no—
465#894—31no—
466#894—31no—
467#894—31no—
468#894—31no—
469#893—31no—
470#893—31no—
471#893—31no—
472#893—31no—
473#893—31no—
474#893—31no—
475#892—31no—
476#892—31no—
477#886—31no—
478#886—31no—
479#886—31no—
480#885—31no—
481#885—31no—
482#885—31no—
483#885—31no—
484#884—31no—
485#884—31no—
486#884—31no—
487#884—31no—
488#884—31no—
489#884—31no—
490#883—31no—
491#883—31no—
492#883—31no—
493#883—31no—
494#882—31no—
495#882—31no—
496#882—31no—
497#882—31no—
498#882—31no—
499#882—31no—
500#882—31no—
501#882—31no—
502#882—31no—
503#882—31no—
504#882—31no—
505#882—31no—
506#882—31no—
507#882—31no—
508#67⋊C4—31no—
509#67⋊C4—31no—
510#67⋊C4—31no—
511#67⋊C4—31no—
512#67⋊C4—31no—
513D3×C22⋊C4—31no—
514D3×C22⋊C4—31no—
515D3×C22⋊C4—31no—
516D3×C22⋊C4—31no—
517D3×C22⋊C4—31no—
518D3×C22⋊C4—31no—
519D3×C22⋊C4—31no—
520D3×C22⋊C4—31no—
521D3×C22⋊C4—31no—
522D3×C22⋊C4—31no—
523D3×C22⋊C4—31no—
524D3×C22⋊C4—31no—
525D3×C22⋊C4—31no—
526D3×C22⋊C4—31no—
527#879—31no—
528#879—31no—
529#878—31no—
530#878—31no—
531#878—31no—
532#877—31no—
533#876—31no—
534#875—31no—
535#875—31no—
536C4×D12—31no—
537C4×D12—31no—
538C4×D12—31no—
539C4×D12—31no—
540C4×D12—31no—
541C4×D12—31no—
542C4×D12—31no—
543#872—31no—
544#872—31no—
545C23×C9—22no—
546C23×C9—22no—
547C23×C9—41no—
548C23×C9C2411yescharacteristic
549C23×C9C2411yescharacteristic
550C23×C9C2411yescharacteristic
551C23×C9C2411yescharacteristic
552C22×D9—22no—
553C22×D9—22no—
554C22×D9—22no—
555C22×D9—22no—
556C22×D9—22no—
557C22×D9—22no—
558C22×D9—22no—
559C22×D9—22no—
560C22×D9—22no—
561C22×D9—22no—
562C22×D9—22no—
563C22×D9—22no—
564C22×D9—41no—
565C22×D9—41no—
566C22×D9—41no—
567C22×D9—41no—
568C22×D9—41no—
569C22×D9—41no—
570C22×D9—41no—
571C22×D9—41no—
572C22×D9—41no—
573C22×D9—41no—
574C22×D9—41no—
575C22×D9—416no—
576C22×D9#4114yescomplemented
577C22×D9C2411yescharacteristic
578C22×D9C2411yescharacteristic
579C22×D9C2411yescharacteristic
580C22×D9C2411yescharacteristic
581C22×D9C2411yescharacteristic
582C22×D9C2411yescharacteristic
583C22×D9C2411yescharacteristic
584Q8×C9—41no—
585D4×C9—22no—
586D4×C9—22no—
587D4×C9—41no—
588C2×C4×C9—22no—
589C2×C4×C9—22no—
590C2×C4×C9—41no—
591C2×C4×C9—41no—
592C2×C4×C9—41no—
593C2×C4×C9C2411yescharacteristic
594C2×C4×C9C2411yescharacteristic
595C2×C4×C9C2411yescharacteristic
596C2×C4×C9C2411yescharacteristic
597C2×C4×C9C2411yescharacteristic
598C2×C4×C9C2411yescharacteristic
599C2×C4×C9C2411yescharacteristic
600C2×C4×C9C2411yescharacteristic
601C2×C4×C9C2411yescharacteristic
602C2×C4×C9C2411yescharacteristic
603C2×C4×C9C2411yescharacteristic
604#611—22no—
605#611—22no—
606#611—22no—
607#611—22no—
608#611—22no—
609#611—22no—
610#611—41no—
611#611—41no—
612#611—41no—
613#611—41no—
614#611—41no—
615#611—41no—
616C2×Dic9—22no—
617C2×Dic9—41no—
618C2×Dic9—41no—
619C2×Dic9—41no—
620C2×Dic9C2411yescharacteristic
621C2×Dic9C2411yescharacteristic
622C2×Dic9C2411yescharacteristic
623C2×Dic9C2411yescharacteristic
624C2×Dic9C2411yescharacteristic
625C2×Dic9C2411yescharacteristic
626C2×Dic9C2411yescharacteristic
627C2×Dic9C2411yescharacteristic
628C2×Dic9C2411yescharacteristic
629D36—22no—
630D36—22no—
631D36—22no—
632D36—22no—
633D36—22no—
634D36—22no—
635D36—22no—
636D36—22no—
637D36—41no—
638D36—41no—
639D36—41no—
640D36—41no—
641D36—41no—
642C4×D9—22no—
643C4×D9—22no—
644C4×D9—22no—
645C4×D9—41no—
646C4×D9—41no—
647C4×D9—41no—
648C4×D9—41no—
649C4×D9—41no—
650C4×D9—41no—
651C4×D9—41no—
652C4×D9—41no—
653C4×D9—41no—
654C4×D9—41no—
655C4×D9—41no—
656C4×D9—41no—
657C4×D9—41no—
658C4×D9—41no—
659Dic18—41no—
660Dic18—41no—
661Dic18—41no—
662#551—91no—
663#551—91no—
664#551—91no—
665#551—91no—
666#551—91no—
667#551—91no—
668#551—91no—
669#551D911yescharacteristic, complemented
670#546—91no—
671#546—91no—
672#546—91no—
673#546—91no—
674#546—91no—
675#546—91no—
676#546—91no—
677#546—91no—
678#543—91no—
679#538—91no—
680#538—91no—
681#538—91no—
682#538—91no—
683#534—91no—
684#525—91no—
685#525—91no—
686#525—91no—
687#525—91no—
688C2×#120—91no—
689C2×#120—91no—
690#518—91no—
691#518—91no—
692C22×C22⋊C4—91no—
693C24×C3C22×D311yescharacteristic
694C23×D3—31no—
695C23×D3—31no—
696C23×D3—31no—
697C23×D3—31no—
698C23×D3—31no—
699C23×D3—31no—
700C23×D3—31no—
701C23×D3—31no—
702C23×D3—64no—
703C23×D3—122no—
704C23×D3—122no—
705C2×C3×Q8C22×D311yescharacteristic
706C2×C3×D4C22×D311yescharacteristic
707C2×C3×D4C22×D311yescharacteristic
708C2×C3×D4C22×D311yescharacteristic
709C22×C3×C4C22×D311yescharacteristic
710C22×C3×C4C22×D311yescharacteristic
711C22×C3×C4C22×D311yescharacteristic
712C22×C3×C4C22×D311yescharacteristic
713C22×C3×C4C22×D311yescharacteristic
714C2×#67—31no—
715C2×#67—31no—
716C2×#67—31no—
717C2×#67—31no—
718C2×#67—31no—
719C2×#67—31no—
720C2×#67—31no—
721C2×#67—31no—
722C2×#67—31no—
723C2×#67—31no—
724C2×#67—31no—
725C2×#67—31no—
726C2×#67—122no—
727C22×Dic3—31no—
728C22×Dic3—31no—
729C22×Dic3—31no—
730C22×Dic3—31no—
731#239—122no—
732#237—122no—
733D3×D4—64no—
734D3×D4—122no—
735D3×D4—122no—
736#235—122no—
737#235—122no—
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—31no—
748C2×D12—31no—
749C2×D12—31no—
750C2×D12—31no—
751C2×D12—64no—
752C2×D12—122no—
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—31no—
763C2×C4×D3—31no—
764C2×C4×D3—31no—
765C2×C4×D3—31no—
766C2×C4×D3—31no—
767C2×C4×D3—31no—
768C2×C4×D3—31no—
769C2×C4×D3—31no—
770C2×C4×D3—122no—
771C2×C4×D3—122no—
772C2×Dic6—31no—
773C2×Dic6—31no—
774C2×Dic6—31no—
775C3×C4⋊C4C22×D311yescharacteristic
776C3×C4⋊C4C22×D311yescharacteristic
777C3×C4⋊C4C22×D311yescharacteristic
778C3×C4⋊C4C22×D311yescharacteristic
779C3×C4⋊C4C22×D311yescharacteristic
780C3×C4⋊C4C22×D311yescharacteristic
781C3×C4⋊C4C22×D311yescharacteristic
782C3×C4⋊C4C22×D311yescharacteristic
783C3×C22⋊C4C22×D311yescharacteristic
784C3×C22⋊C4C22×D311yescharacteristic
785C3×C22⋊C4C22×D311yescharacteristic
786C3×C22⋊C4C22×D311yescharacteristic
787C3×C22⋊C4C22×D311yescharacteristic
788C3×C22⋊C4C22×D311yescharacteristic
789C3×C22⋊C4C22×D311yescharacteristic
790C3×C22⋊C4C22×D311yescharacteristic
791C3×C22⋊C4C22×D311yescharacteristic
792C3×C22⋊C4C22×D311yescharacteristic
793C3×C22⋊C4C22×D311yescharacteristic
794C3×C22⋊C4C22×D311yescharacteristic
795C3×C22⋊C4C22×D311yescharacteristic
796C3×C22⋊C4C22×D311yescharacteristic
797C3×C42C22×D311yescharacteristic
798C3×C42C22×D311yescharacteristic
799C3×C42C22×D311yescharacteristic
800#217—31no—
801#217—31no—
802#217—31no—
803#217—31no—
804#217—31no—
805#217—31no—
806#217—31no—
807#217—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—
829(C2×D3)⋊C4—31no—
830(C2×D3)⋊C4—31no—
831(C2×D3)⋊C4—31no—
832(C2×D3)⋊C4—31no—
833(C2×D3)⋊C4—31no—
834(C2×D3)⋊C4—31no—
835(C2×D3)⋊C4—31no—
836(C2×D3)⋊C4—31no—
837(C2×D3)⋊C4—31no—
838(C2×D3)⋊C4—31no—
839(C2×D3)⋊C4—31no—
840(C2×D3)⋊C4—31no—
841(C2×D3)⋊C4—31no—
842C4⋊Dic3—31no—
843C4⋊Dic3—31no—
844C4⋊Dic3—31no—
845C4⋊Dic3—31no—
846C4⋊Dic3—31no—
847C4⋊Dic3—31no—
848Dic3⋊C4—31no—
849Dic3⋊C4—31no—
850Dic3⋊C4—31no—
851Dic3⋊C4—31no—
852Dic3⋊C4—31no—
853Dic3⋊C4—31no—
854Dic3⋊C4—31no—
855Dic3⋊C4—31no—
856Dic3⋊C4—31no—
857Dic3⋊C4—31no—
858C4×Dic3—31no—
859C4×Dic3—31no—
860C4×Dic3—31no—
861C4×Dic3—31no—
862C4×Dic3—31no—
863C22×C9—21no—
864C22×C9—21no—
865C22×C9—21no—
866C22×C9—21no—
867C22×C9—21no—
868C22×C9—21no—
869C22×C9—21no—
870C22×C9—21no—
871C22×C9—21no—
872C22×C9—21no—
873C22×C9—44no—
874C22×C9C2×#4112yes—
875C22×C9H(5,𝔽2)12yes—
876C22×C9C2511yescharacteristic
877C2×D9—28no—
878C2×D9—21no—
879C2×D9—21no—
880C2×D9—21no—
881C2×D9—21no—
882C2×D9—21no—
883C2×D9—21no—
884C2×D9—21no—
885C2×D9—21no—
886C2×D9—21no—
887C2×D9—21no—
888C2×D9—21no—
889C2×D9—21no—
890C2×D9—21no—
891C2×D9—21no—
892C2×D9—21no—
893C2×D9—21no—
894C2×D9—21no—
895C2×D9—21no—
896C2×D9—44no—
897C2×D9—44no—
898C2×D9—44no—
899C2×D9—44no—
900C2×D9—44no—
901C2×D9—82no—
902C2×D9—82no—
903C2×D9C2×#4112yes—
904C2×D9C2×#4112yes—
905C2×D9H(5,𝔽2)12yes—
906C4×C9—21no—
907C4×C9—21no—
908C4×C9—21no—
909C4×C9—21no—
910C4×C9—21no—
911C4×C9—21no—
912C4×C9—21no—
913C4×C9—21no—
914C4×C9—21no—
915C4×C9—21no—
916C4×C9—21no—
917Dic9—21no—
918Dic9—21no—
919Dic9—21no—
920Dic9—21no—
921Dic9—21no—
922Dic9—21no—
923Dic9—21no—
924Dic9—21no—
925Dic9—21no—
926C25—91no—
927C2×#41—91no—
928C2×#41—91no—
929C2×#41—91no—
930C2×#41—91no—
931C22×D4—91no—
932C22×D4—91no—
933C22×D4—91no—
934C22×D4—91no—
935C22×D4—91no—
936C22×D4—91no—
937C23×C4—91no—
938C23×C4—91no—
939#126—91no—
940#126—91no—
941#126—91no—
942#126—91no—
943#126—91no—
944#126—91no—
945#126C2×D911yescharacteristic, complemented
946#126C2×D911yescharacteristic, complemented
947#124—91no—
948#124—91no—
949#124—91no—
950#124—91no—
951#124—91no—
952#124—91no—
953#124—91no—
954#124C2×D911yescharacteristic, complemented
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#123—91no—
971#123—91no—
972#123C2×D911yescharacteristic, complemented
973#123C2×D911yescharacteristic, complemented
974#123C2×D911yescharacteristic, complemented
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—
984C22⋊Q8—91no—
985C22⋊Q8—91no—
986C22⋊Q8—91no—
987C22⋊Q8—91no—
988C22⋊Q8—91no—
989C22⋊Q8C2×D911yescharacteristic, complemented
990C22⋊Q8C2×D911yescharacteristic, complemented
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#120—91no—
1008#120—91no—
1009#120—91no—
1010#120—91no—
1011#120—91no—
1012#120—91no—
1013#120—91no—
1014#120—91no—
1015#120—91no—
1016#120—91no—
1017#120—91no—
1018#120—91no—
1019#120—91no—
1020#120—91no—
1021#120—91no—
1022#120—91no—
1023#120—91no—
1024#120—91no—
1025#120—91no—
1026#120C2×D911yescharacteristic
1027C4×D4—91no—
1028C4×D4—91no—
1029C4×D4—91no—
1030C4×D4—91no—
1031C4×D4—91no—
1032C4×D4—91no—
1033C4×D4—91no—
1034C4×D4—91no—
1035C4×D4—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×D4—91no—
1049C4×D4C2×D911yescharacteristic, complemented
1050C4×D4C2×D911yescharacteristic, complemented
1051#117—91no—
1052#117—91no—
1053#117—91no—
1054#117—91no—
1055#117—91no—
1056#117—91no—
1057#117C2×D911yescharacteristic, complemented
1058#117C2×D911yescharacteristic, complemented
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—
1067C2×C22⋊C4—91no—
1068C2×C22⋊C4—91no—
1069C2×C22⋊C4—91no—
1070C2×C22⋊C4—91no—
1071C2×C22⋊C4—91no—
1072C2×C22⋊C4—91no—
1073C2×C22⋊C4—91no—
1074C2×C22⋊C4—91no—
1075C2×C22⋊C4—91no—
1076C2×C22⋊C4—91no—
1077C2×C22⋊C4—91no—
1078C2×C22⋊C4—91no—
1079C2×C22⋊C4C2×D911yescharacteristic, complemented
1080C2×C22⋊C4C2×D911yescharacteristic, complemented
1081C23×C3—22no—
1082C23×C3—22no—
1083C23×C3—41no—
1084C23×C3C23×D311yescharacteristic
1085C23×C3C23×D311yescharacteristic
1086C23×C3C23×D311yescharacteristic
1087C23×C3C23×D311yescharacteristic
1088C22×D3—31no—
1089C22×D3—31no—
1090C22×D3—31no—
1091C22×D3—34no—
1092C22×D3—31no—
1093C22×D3—31no—
1094C22×D3—31no—
1095C22×D3—31no—
1096C22×D3—62no—
1097C22×D3—62no—
1098C22×D3—62no—
1099C22×D3—62no—
1100C22×D3—62no—
1101C22×D3—62no—
1102C22×D3—62no—
1103C22×D3—62no—
1104C22×D3—62no—
1105C22×D3—62no—
1106C22×D3—62no—
1107C22×D3—62no—
1108C22×D3—121no—
1109C22×D3—121no—
1110C22×D3—121no—
1111C22×D3—121no—
1112C22×D3—121no—
1113C22×D3—121no—
1114C22×D3—121no—
1115C22×D3—121no—
1116C22×D3—121no—
1117C22×D3—121no—
1118C22×D3—121no—
1119C22×D3—1216no—
1120C3×Q8—41no—
1121C3×D4—22no—
1122C3×D4—22no—
1123C3×D4—41no—
1124C2×C3×C4—22no—
1125C2×C3×C4—22no—
1126C2×C3×C4—41no—
1127C2×C3×C4—41no—
1128C2×C3×C4—41no—
1129C2×C3×C4C23×D311yescharacteristic
1130C2×C3×C4C23×D311yescharacteristic
1131C2×C3×C4C23×D311yescharacteristic
1132C2×C3×C4C23×D311yescharacteristic
1133C2×C3×C4C23×D311yescharacteristic
1134C2×C3×C4C23×D311yescharacteristic
1135C2×C3×C4C23×D311yescharacteristic
1136C2×C3×C4C23×D311yescharacteristic
1137C2×C3×C4C23×D311yescharacteristic
1138C2×C3×C4C23×D311yescharacteristic
1139C2×C3×C4C23×D311yescharacteristic
1140#67—62no—
1141#67—62no—
1142#67—62no—
1143#67—62no—
1144#67—62no—
1145#67—62no—
1146#67—121no—
1147#67—121no—
1148#67—121no—
1149#67—121no—
1150#67—121no—
1151#67—121no—
1152C2×Dic3—31no—
1153C2×Dic3—31no—
1154C2×Dic3—31no—
1155C2×Dic3—31no—
1156C2×Dic3—31no—
1157C2×Dic3—31no—
1158C2×Dic3—31no—
1159C2×Dic3—31no—
1160C2×Dic3—31no—
1161C2×Dic3—62no—
1162C2×Dic3—121no—
1163C2×Dic3—121no—
1164C2×Dic3—121no—
1165D12—62no—
1166D12—62no—
1167D12—62no—
1168D12—62no—
1169D12—62no—
1170D12—62no—
1171D12—62no—
1172D12—62no—
1173D12—121no—
1174D12—121no—
1175D12—121no—
1176D12—121no—
1177D12—121no—
1178C4×D3—62no—
1179C4×D3—62no—
1180C4×D3—62no—
1181C4×D3—121no—
1182C4×D3—121no—
1183C4×D3—121no—
1184C4×D3—121no—
1185C4×D3—121no—
1186C4×D3—121no—
1187C4×D3—121no—
1188C4×D3—121no—
1189C4×D3—121no—
1190C4×D3—121no—
1191C4×D3—121no—
1192C4×D3—121no—
1193C4×D3—121no—
1194C4×D3—121no—
1195Dic6—121no—
1196Dic6—121no—
1197Dic6—121no—
1198C2×C9—22no—
1199C2×C9—22no—
1200C2×C9—41no—
1201C2×C9—41no—
1202C2×C9C22×#4111yescharacteristic
1203C2×C9C2×H(5,𝔽2)11yescharacteristic
1204C2×C9C2×H(5,𝔽2)11yescharacteristic
1205D9—22no—
1206D9—22no—
1207D9—22no—
1208D9—41no—
1209D9—41no—
1210D9—41no—
1211D9—41no—
1212C24—91no—
1213C24—91no—
1214C24—91no—
1215C24—91no—
1216C24—91no—
1217C24—91no—
1218C24—91no—
1219C24—91no—
1220C24—184no—
1221C24—362no—
1222C24—362no—
1223C24C22×D911yescharacteristic
1224#41—362no—
1225#41—362no—
1226#41—362no—
1227#41—362no—
1228C2×Q8—91no—
1229C2×Q8—91no—
1230C2×Q8—91no—
1231C2×Q8C22×D911yescharacteristic, complemented
1232C2×D4—91no—
1233C2×D4—91no—
1234C2×D4—91no—
1235C2×D4—91no—
1236C2×D4—91no—
1237C2×D4—91no—
1238C2×D4—91no—
1239C2×D4—91no—
1240C2×D4—91no—
1241C2×D4—91no—
1242C2×D4—91no—
1243C2×D4—91no—
1244C2×D4—91no—
1245C2×D4—91no—
1246C2×D4—91no—
1247C2×D4—91no—
1248C2×D4—91no—
1249C2×D4—91no—
1250C2×D4—91no—
1251C2×D4—91no—
1252C2×D4—91no—
1253C2×D4—91no—
1254C2×D4—91no—
1255C2×D4—91no—
1256C2×D4—91no—
1257C2×D4—184no—
1258C2×D4—184no—
1259C2×D4—362no—
1260C2×D4—362no—
1261C2×D4—362no—
1262C2×D4—362no—
1263C2×D4C22×D911yescharacteristic
1264C2×D4C22×D911yescharacteristic
1265C2×D4C22×D911yescharacteristic
1266C22×C4—91no—
1267C22×C4—91no—
1268C22×C4—91no—
1269C22×C4—91no—
1270C22×C4—91no—
1271C22×C4—91no—
1272C22×C4—91no—
1273C22×C4—91no—
1274C22×C4—91no—
1275C22×C4—91no—
1276C22×C4—91no—
1277C22×C4—91no—
1278C22×C4—91no—
1279C22×C4—91no—
1280C22×C4—91no—
1281C22×C4—91no—
1282C22×C4—91no—
1283C22×C4—91no—
1284C22×C4—91no—
1285C22×C4—91no—
1286C22×C4—91no—
1287C22×C4—362no—
1288C22×C4—362no—
1289C22×C4C22×D911yescharacteristic
1290C22×C4C22×D911yescharacteristic
1291C22×C4C22×D911yescharacteristic
1292C22×C4C22×D911yescharacteristic
1293C22×C4C22×D911yescharacteristic, complemented
1294C4⋊C4—91no—
1295C4⋊C4—91no—
1296C4⋊C4—91no—
1297C4⋊C4—91no—
1298C4⋊C4—91no—
1299C4⋊C4—91no—
1300C4⋊C4—91no—
1301C4⋊C4—91no—
1302C4⋊C4—91no—
1303C4⋊C4—91no—
1304C4⋊C4—91no—
1305C4⋊C4—91no—
1306C4⋊C4—91no—
1307C4⋊C4—91no—
1308C4⋊C4—91no—
1309C4⋊C4—91no—
1310C4⋊C4C22×D911yescharacteristic, complemented
1311C4⋊C4C22×D911yescharacteristic, complemented
1312C4⋊C4C22×D911yescharacteristic, complemented
1313C4⋊C4C22×D911yescharacteristic, complemented
1314C4⋊C4C22×D911yescharacteristic, complemented
1315C4⋊C4C22×D911yescharacteristic, complemented
1316C4⋊C4C22×D911yescharacteristic, complemented
1317C4⋊C4C22×D911yescharacteristic, complemented
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⋊C4—91no—
1345C22⋊C4—91no—
1346C22⋊C4—91no—
1347C22⋊C4—91no—
1348C22⋊C4—91no—
1349C22⋊C4—91no—
1350C22⋊C4—91no—
1351C22⋊C4—91no—
1352C22⋊C4—91no—
1353C22⋊C4—91no—
1354C22⋊C4—91no—
1355C22⋊C4—91no—
1356C22⋊C4—91no—
1357C22⋊C4—91no—
1358C22⋊C4—91no—
1359C22⋊C4—91no—
1360C22⋊C4C22×D911yescharacteristic
1361C22⋊C4C22×D911yescharacteristic
1362C22⋊C4C22×D911yescharacteristic
1363C22⋊C4C22×D911yescharacteristic
1364C22⋊C4C22×D911yescharacteristic
1365C22⋊C4C22×D911yescharacteristic
1366C22⋊C4C22×D911yescharacteristic
1367C22⋊C4C22×D911yescharacteristic
1368C22⋊C4C22×D911yescharacteristic
1369C22⋊C4C22×D911yescharacteristic
1370C22⋊C4C22×D911yescharacteristic
1371C22⋊C4C22×D911yescharacteristic, complemented
1372C22⋊C4C22×D911yescharacteristic, complemented
1373C22⋊C4C22×D911yescharacteristic, complemented
1374C42—91no—
1375C42—91no—
1376C42—91no—
1377C42—91no—
1378C42—91no—
1379C42C22×D911yescharacteristic, complemented
1380C42C22×D911yescharacteristic, complemented
1381C42C22×D911yescharacteristic, complemented
1382C22×C3—21no—
1383C22×C3—21no—
1384C22×C3—21no—
1385C22×C3—21no—
1386C22×C3—21no—
1387C22×C3—21no—
1388C22×C3—21no—
1389C22×C3—21no—
1390C22×C3—21no—
1391C22×C3—21no—
1392C22×C3—44no—
1393C22×C3D3×#4112yes—
1394C22×C3#100912yes—
1395C22×C3C24×D311yescharacteristic
1396C2×D3—32no—
1397C2×D3—32no—
1398C2×D3—32no—
1399C2×D3—68no—
1400C2×D3—61no—
1401C2×D3—61no—
1402C2×D3—61no—
1403C2×D3—61no—
1404C2×D3—61no—
1405C2×D3—61no—
1406C2×D3—61no—
1407C2×D3—61no—
1408C2×D3—61no—
1409C2×D3—61no—
1410C2×D3—61no—
1411C2×D3—61no—
1412C2×D3—61no—
1413C2×D3—61no—
1414C2×D3—61no—
1415C2×D3—61no—
1416C2×D3—61no—
1417C2×D3—61no—
1418C2×D3—124no—
1419C2×D3—124no—
1420C2×D3—124no—
1421C2×D3—124no—
1422C2×D3—124no—
1423C2×D3—242no—
1424C2×D3—242no—
1425C3×C4—21no—
1426C3×C4—21no—
1427C3×C4—21no—
1428C3×C4—21no—
1429C3×C4—21no—
1430C3×C4—21no—
1431C3×C4—21no—
1432C3×C4—21no—
1433C3×C4—21no—
1434C3×C4—21no—
1435C3×C4—21no—
1436Dic3—61no—
1437Dic3—61no—
1438Dic3—61no—
1439Dic3—61no—
1440Dic3—61no—
1441Dic3—61no—
1442Dic3—61no—
1443Dic3—61no—
1444Dic3—61no—
1445C9#349011yescharacteristic, complemented, Sylow
1446C23—22no—
1447C23—22no—
1448C23—41no—
1449C23—91no—
1450C23—91no—
1451C23—91no—
1452C23—94no—
1453C23—91no—
1454C23—91no—
1455C23—91no—
1456C23—91no—
1457C23—182no—
1458C23—182no—
1459C23—182no—
1460C23—182no—
1461C23—182no—
1462C23—182no—
1463C23—182no—
1464C23—182no—
1465C23—182no—
1466C23—182no—
1467C23—182no—
1468C23—182no—
1469C23—361no—
1470C23—361no—
1471C23—361no—
1472C23—361no—
1473C23—361no—
1474C23—361no—
1475C23—361no—
1476C23—361no—
1477C23—361no—
1478C23—361no—
1479C23—361no—
1480C23—3616no—
1481C23C23×D911yescharacteristic
1482C23C23×D911yescharacteristic
1483C23C23×D911yescharacteristic
1484C23C23×D911yescharacteristic
1485Q8—41no—
1486Q8—361no—
1487Q8—361no—
1488Q8—361no—
1489D4—22no—
1490D4—22no—
1491D4—41no—
1492D4—182no—
1493D4—182no—
1494D4—182no—
1495D4—182no—
1496D4—182no—
1497D4—182no—
1498D4—182no—
1499D4—182no—
1500D4—182no—
1501D4—182no—
1502D4—182no—
1503D4—182no—
1504D4—182no—
1505D4—182no—
1506D4—361no—
1507D4—361no—
1508D4—361no—
1509D4—361no—
1510D4—361no—
1511D4—361no—
1512D4—361no—
1513D4—361no—
1514D4—361no—
1515D4—361no—
1516D4—361no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—41no—
1520C2×C4—41no—
1521C2×C4—41no—
1522C2×C4—91no—
1523C2×C4—91no—
1524C2×C4—91no—
1525C2×C4—91no—
1526C2×C4—91no—
1527C2×C4—91no—
1528C2×C4—91no—
1529C2×C4—91no—
1530C2×C4—91no—
1531C2×C4—182no—
1532C2×C4—182no—
1533C2×C4—182no—
1534C2×C4—182no—
1535C2×C4—361no—
1536C2×C4—361no—
1537C2×C4—361no—
1538C2×C4—361no—
1539C2×C4—361no—
1540C2×C4—361no—
1541C2×C4—361no—
1542C2×C4—361no—
1543C2×C4—361no—
1544C2×C4—361no—
1545C2×C4—361no—
1546C2×C4—361no—
1547C2×C4—361no—
1548C2×C4—361no—
1549C2×C4—361no—
1550C2×C4—361no—
1551C2×C4—361no—
1552C2×C4C23×D911yescharacteristic
1553C2×C4C23×D911yescharacteristic
1554C2×C4C23×D911yescharacteristic
1555C2×C4C23×D911yescharacteristic
1556C2×C4C23×D911yescharacteristic
1557C2×C4C23×D911yescharacteristic
1558C2×C4C23×D911yescharacteristic
1559C2×C4C23×D911yescharacteristic
1560C2×C4C23×D911yescharacteristic
1561C2×C4C23×D911yescharacteristic
1562C2×C4C23×D911yescharacteristic
1563C2×C3—22no—
1564C2×C3—22no—
1565C2×C3—41no—
1566C2×C3—41no—
1567C2×C3C2×D3×#4111yescharacteristic
1568C2×C3C2×#100911yescharacteristic
1569C2×C3D3×H(5,𝔽2)11yescharacteristic
1570D3—62no—
1571D3—62no—
1572D3—62no—
1573D3—121no—
1574D3—121no—
1575D3—121no—
1576D3—121no—
1577C22—21no—
1578C22—21no—
1579C22—21no—
1580C22—21no—
1581C22—21no—
1582C22—21no—
1583C22—21no—
1584C22—21no—
1585C22—21no—
1586C22—21no—
1587C22—44no—
1588C22—92no—
1589C22—92no—
1590C22—92no—
1591C22—188no—
1592C22—181no—
1593C22—181no—
1594C22—181no—
1595C22—181no—
1596C22—181no—
1597C22—181no—
1598C22—181no—
1599C22—181no—
1600C22—181no—
1601C22—181no—
1602C22—181no—
1603C22—181no—
1604C22—181no—
1605C22—181no—
1606C22—181no—
1607C22—181no—
1608C22—181no—
1609C22—181no—
1610C22—364no—
1611C22—364no—
1612C22—364no—
1613C22—364no—
1614C22—364no—
1615C22—722no—
1616C22—722no—
1617C22#41×D912yes—
1618C22#6371512yes—
1619C22C24×D911yescharacteristic
1620C4—21no—
1621C4—21no—
1622C4—21no—
1623C4—21no—
1624C4—21no—
1625C4—21no—
1626C4—21no—
1627C4—21no—
1628C4—21no—
1629C4—21no—
1630C4—21no—
1631C4—181no—
1632C4—181no—
1633C4—181no—
1634C4—181no—
1635C4—181no—
1636C4—181no—
1637C4—181no—
1638C4—181no—
1639C4—181no—
1640C3#8681511yescharacteristic
1641C2—22no—
1642C2—22no—
1643C2—41no—
1644C2—41no—
1645C2—182no—
1646C2—182no—
1647C2—182no—
1648C2—361no—
1649C2—361no—
1650C2—361no—
1651C2—361no—
1652C2C2×#41×D911yescharacteristic
1653C2C2×#6371511yescharacteristic
1654C2D9×H(5,𝔽2)11yescharacteristic
subgroupG/H
centerC22C24×D9
commutator, cosocleC22×C9C25
Frattini, socleC22×C3C24×D3
FittingC9×#551C2
hypercenter#551D9
hypocenterC9#3490
LCSG ▷ C22×C9 ▷ C9
UCSC1 ◁ C22 ◁ #551

Complements

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

NH ≅ G/Ntype
1. C9×#551C2semidirect
2. #10589807C2semidirect
3. #10589807C2semidirect
4. #10589806C2semidirect
5. #10589806C2semidirect
6. #10589780C2semidirect
7. #10589778C2semidirect
8. #10589760C2semidirect
9. #10589759C2semidirect
10. #10589758C2semidirect
11. #10589756C2semidirect
12. #10589756C2semidirect
13. #10589755C2semidirect
14. #10589739C2semidirect
15. #10589736C2semidirect
16. #10589732C2semidirect
17. #10589729C2semidirect
18. #10589693C2semidirect
19. D9×#120C2semidirect
20. #10589656C2semidirect
21. #10589652C2semidirect
22. #10589649C2semidirect
23. #10589647C2semidirect
24. #10589629C2semidirect
25. #10589629C2semidirect
26. #10589626C2semidirect
27. #10589623C2semidirect
28. #10589597C2semidirect
29. #10589592C2semidirect
30. C2×#63444C2semidirect
31. C2×C22⋊C4×D9C2semidirect
34. C22×#611C22semidirect
35. C2×#3701C22semidirect
36. C2×#3699C22semidirect
38. C2×D4×D9C22semidirect
39. C2×D4×D9C22semidirect
40. C2×#3697C22semidirect
41. C2×#3697C22semidirect
43. C22×D36C22semidirect
44. C22×C4×D9C22semidirect
45. C22×C4×D9C22semidirect
46. C9×#126C22semidirect
47. C9×#126C22semidirect
48. C9×#124C22semidirect
49. C9×#123C22semidirect
50. C9×#123C22semidirect
51. C9×#123C22semidirect
52. C9×C22⋊Q8C22semidirect
53. C9×C22⋊Q8C22semidirect
55. C4×D4×C9C22semidirect
56. C4×D4×C9C22semidirect
57. C9×#117C22semidirect
58. C9×#117C22semidirect
59. C2×C9×C22⋊C4C22semidirect
60. C2×C9×C22⋊C4C22semidirect
62. C2×#3676C22semidirect
63. #63509C22semidirect
64. #63508C22semidirect
65. #63508C22semidirect
66. #63501C22semidirect
67. #63501C22semidirect
68. #63500C22semidirect
70. #63499C22semidirect
71. #63499C22semidirect
72. #63499C22semidirect
73. D4×Dic9C22semidirect
74. #63492C22semidirect
75. #63492C22semidirect
76. #63491C22semidirect
77. #63491C22semidirect
78. C4×#611C22semidirect
79. C4×#611C22semidirect
80. C4×#611C22semidirect
82. C2×(C2×D9)⋊C4C22semidirect
83. C2×(C2×D9)⋊C4C22semidirect
84. C2×(C2×D9)⋊C4C22semidirect
85. C2×(C2×D9)⋊C4C22semidirect
86. #63488C22semidirect
87. #63486C22semidirect
88. #63460C22semidirect
89. #63460C22semidirect
90. #63460C22semidirect
91. #63459C22semidirect
92. #63459C22semidirect
93. #63459C22semidirect
94. #63458C22semidirect
95. #63458C22semidirect
96. #63458C22semidirect
97. #63458C22semidirect
98. #63458C22semidirect
99. #63457C22semidirect
100. #63457C22semidirect
101. #63457C22semidirect
102. #63457C22semidirect
103. #63457C22semidirect
104. #63456C22semidirect
105. #63456C22semidirect
106. #63456C22semidirect
107. #63456C22semidirect
108. #63456C22semidirect
109. #63456C22semidirect
110. #63456C22semidirect
111. #63456C22semidirect
112. #63455C22semidirect
113. #63455C22semidirect
114. #63455C22semidirect
115. #63455C22semidirect
116. #63455C22semidirect
117. #63455C22semidirect
118. #63454C22semidirect
119. #63454C22semidirect
120. #63448C22semidirect
121. #63448C22semidirect
122. #63448C22semidirect
123. #63447C22semidirect
124. #63447C22semidirect
125. #63447C22semidirect
126. #63447C22semidirect
127. #63446C22semidirect
128. #63446C22semidirect
129. #63446C22semidirect
130. #63446C22semidirect
131. #63446C22semidirect
132. #63446C22semidirect
133. #63445C22semidirect
134. #63445C22semidirect
135. #63445C22semidirect
136. #63445C22semidirect
142. #63444C22semidirect
143. #63444C22semidirect
144. #63444C22semidirect
145. #63444C22semidirect
146. #63444C22semidirect
147. #63444C22semidirect
148. #63444C22semidirect
149. #63444C22semidirect
150. #63444C22semidirect
151. #611⋊C4C22semidirect
152. #611⋊C4C22semidirect
153. #611⋊C4C22semidirect
154. #611⋊C4C22semidirect
155. #611⋊C4C22semidirect
159. C22⋊C4×D9C22semidirect
160. C22⋊C4×D9C22semidirect
161. C22⋊C4×D9C22semidirect
162. C22⋊C4×D9C22semidirect
163. C22⋊C4×D9C22semidirect
164. C22⋊C4×D9C22semidirect
165. C22⋊C4×D9C22semidirect
166. C22⋊C4×D9C22semidirect
167. C22⋊C4×D9C22semidirect
168. C22⋊C4×D9C22semidirect
169. C22⋊C4×D9C22semidirect
170. #63441C22semidirect
171. #63441C22semidirect
172. #63440C22semidirect
173. #63440C22semidirect
174. #63440C22semidirect
175. #63439C22semidirect
176. #63438C22semidirect
177. #63437C22semidirect
178. #63437C22semidirect
179. C4×D36C22semidirect
180. C4×D36C22semidirect
181. C4×D36C22semidirect
182. C4×D36C22semidirect
183. C4×D36C22semidirect
184. C4×D36C22semidirect
185. C4×D36C22semidirect
186. #63434C22semidirect
187. #63434C22semidirect
231. C2×Q8×C9C23semidirect
239. C22×C4×C9C23semidirect
251. C2×#611C23semidirect
252. C2×#611C23semidirect
256. C22×Dic9C23semidirect
277. C2×D36C23semidirect
278. C2×D36C23semidirect
292. C2×C4×D9C23semidirect
293. C2×C4×D9C23semidirect
294. C2×C4×D9C23semidirect
295. C2×C4×D9C23semidirect
296. C2×C4×D9C23semidirect
297. C2×C4×D9C23semidirect
298. C2×Dic18C23semidirect
299. C2×Dic18C23semidirect
300. C2×Dic18C23semidirect
301. C9×C4⋊C4C23semidirect
302. C9×C4⋊C4C23semidirect
303. C9×C4⋊C4C23semidirect
304. C9×C4⋊C4C23semidirect
305. C9×C4⋊C4C23semidirect
306. C9×C4⋊C4C23semidirect
307. C9×C4⋊C4C23semidirect
308. C9×C4⋊C4C23semidirect
320. C9×C22⋊C4C23semidirect
321. C9×C22⋊C4C23semidirect
322. C9×C22⋊C4C23semidirect
323. C42×C9C23semidirect
324. C42×C9C23semidirect
325. C42×C9C23semidirect
333. #3676C23semidirect
356. (C2×D9)⋊C4C23semidirect
357. (C2×D9)⋊C4C23semidirect
358. (C2×D9)⋊C4C23semidirect
359. (C2×D9)⋊C4C23semidirect
360. (C2×D9)⋊C4C23semidirect
361. (C2×D9)⋊C4C23semidirect
362. (C2×D9)⋊C4C23semidirect
363. (C2×D9)⋊C4C23semidirect
364. (C2×D9)⋊C4C23semidirect
365. (C2×D9)⋊C4C23semidirect
366. (C2×D9)⋊C4C23semidirect
367. (C2×D9)⋊C4C23semidirect
368. C4⋊Dic9C23semidirect
369. C4⋊Dic9C23semidirect
370. C4⋊Dic9C23semidirect
371. C4⋊Dic9C23semidirect
372. C4⋊Dic9C23semidirect
373. C4⋊Dic9C23semidirect
374. Dic9⋊C4C23semidirect
375. Dic9⋊C4C23semidirect
376. Dic9⋊C4C23semidirect
377. Dic9⋊C4C23semidirect
378. Dic9⋊C4C23semidirect
379. Dic9⋊C4C23semidirect
380. Dic9⋊C4C23semidirect
381. Dic9⋊C4C23semidirect
382. Dic9⋊C4C23semidirect
383. Dic9⋊C4C23semidirect
384. C4×Dic9C23semidirect
385. C4×Dic9C23semidirect
386. C4×Dic9C23semidirect
387. C4×Dic9C23semidirect
388. C4×Dic9C23semidirect
576. C22×D9#41semidirect
669. #551D9semidirect
945. #126C2×D9semidirect
946. #126C2×D9semidirect
954. #124C2×D9semidirect
972. #123C2×D9semidirect
973. #123C2×D9semidirect
974. #123C2×D9semidirect
989. C22⋊Q8C2×D9semidirect
990. C22⋊Q8C2×D9semidirect
1049. C4×D4C2×D9semidirect
1050. C4×D4C2×D9semidirect
1057. #117C2×D9semidirect
1058. #117C2×D9semidirect
1079. C2×C22⋊C4C2×D9semidirect
1080. C2×C22⋊C4C2×D9semidirect
1231. C2×Q8C22×D9semidirect
1293. C22×C4C22×D9semidirect
1310. C4⋊C4C22×D9semidirect
1311. C4⋊C4C22×D9semidirect
1312. C4⋊C4C22×D9semidirect
1313. C4⋊C4C22×D9semidirect
1314. C4⋊C4C22×D9semidirect
1315. C4⋊C4C22×D9semidirect
1316. C4⋊C4C22×D9semidirect
1317. C4⋊C4C22×D9semidirect
1371. C22⋊C4C22×D9semidirect
1372. C22⋊C4C22×D9semidirect
1373. C22⋊C4C22×D9semidirect
1379. C42C22×D9semidirect
1380. C42C22×D9semidirect
1381. C42C22×D9semidirect
1445. C9#3490semidirect

Maximal subgroups

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

subgroupindex
C9×#5512
#105898072
#105898062
#105897802
#105897782
#105897602
#105897592
#105897582
#105897562
#105897552
#105897392
#105897362
#105897322
#105897292
#105896932
D9×#1202
#105896562
#105896522
#105896492
#105896472
#105896292
#105896262
#105896232
#105895972
#105895922
C2×#634442
C2×C22⋊C4×D92
#868153