Finite Group Databasebeta

← C89×#61971 #36439819

Subgroups — C89×#61971 #36439819

Order 22784.

1930 conjugacy classes of subgroups.

The subgroup lattice has 1806 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C89×#3514C211yesmaximal, characteristic, complemented
2C89×#3481C211yesmaximal, characteristic, complemented
3C89×#3403C211yesmaximal, characteristic, complemented
4C89×#3401C211yesmaximal, characteristic, complemented
5C89×#3376C211yesmaximal, characteristic, complemented
6C89×#3370C211yesmaximal, characteristic, complemented
7C89×#3326C211yesmaximal, characteristic, complemented
8C89×#3322C211yesmaximal, characteristic, complemented
9C89×#3320C211yesmaximal, characteristic, complemented
10C89×#3318C211yesmaximal, characteristic, complemented
11C89×#3316C211yesmaximal, characteristic, complemented
12C89×#3314C211yesmaximal, characteristic, complemented
13C89×#3275C211yesmaximal, characteristic, complemented
14C89×#3273C211yesmaximal, characteristic, complemented
15C89×#3266C211yesmaximal, characteristic, complemented
16C89×#3265C211yesmaximal, characteristic, complemented
17C89×#3264C211yesmaximal, characteristic, complemented
18C89×#3264C211yesmaximal, characteristic, complemented
19C89×#3256C211yesmaximal, characteristic, complemented
20C89×#3251C211yesmaximal, characteristic, complemented
21C89×#3250C211yesmaximal, characteristic, complemented
22C89×#3219C211yesmaximal, characteristic, complemented
23C89×#3213C211yesmaximal, characteristic, complemented
24C89×#3211C211yesmaximal, characteristic, complemented
25C89×#3114C211yesmaximal, characteristic, complemented
26C89×#3111C211yesmaximal, characteristic, complemented
27C89×#3105C211yesmaximal, characteristic, complemented
28C89×#3040C211yesmaximal, characteristic, complemented
29C89×#3036C211yesmaximal, characteristic, complemented
30C2×#463×C89C211yesmaximal, characteristic, complemented
31C89×#2989C211yesmaximal, characteristic, complemented
32C2×#137×C89C2211yescharacteristic, complemented
33C2×AGL(1,ℤ/8)×C89C2211yescharacteristic
34C2×AGL(1,ℤ/8)×C89C2211yescharacteristic, complemented
35C2×AGL(1,ℤ/8)×C89C2211yescharacteristic, complemented
36C22×SD16×C89C2211yescharacteristic, complemented
37C22×D8×C89C2211yescharacteristic
38#559×C89C2211yescharacteristic, complemented
39#559×C89C2211yescharacteristic, complemented
40#556×C89C2211yescharacteristic, complemented
41#555×C89—21no—
42#554×C89C2211yescharacteristic, complemented
43#554×C89C2211yescharacteristic, complemented
44#553×C89—21no—
45#553×C89C2211yescharacteristic
46#553×C89C2211yescharacteristic, complemented
47#551×C89—21no—
48#551×C89—21no—
49#551×C89—21no—
50#551×C89—21no—
51D4×Q8×C89C2211yescharacteristic, complemented
52#548×C89C2211yescharacteristic
53#548×C89C2211yescharacteristic, complemented
54#546×C89—21no—
55#546×C89—21no—
56#546×C89C2211yescharacteristic
57#546×C89C2211yescharacteristic
58#546×C89C2211yescharacteristic, complemented
59#546×C89C2211yescharacteristic, complemented
60D42×C89C2211yescharacteristic, complemented
61D42×C89C2211yescharacteristic, complemented
62#542×C89—21no—
63#538×C89—21no—
64#538×C89—21no—
65#532×C89C2211yescharacteristic, complemented
66#532×C89C2211yescharacteristic, complemented
67#529×C89—21no—
68#529×C89C2211yescharacteristic, complemented
69#529×C89C2211yescharacteristic, complemented
70#529×C89C2211yescharacteristic, complemented
71#529×C89C2211yescharacteristic, complemented
72#529×C89C2211yescharacteristic, complemented
73C2×#124×C89C2211yescharacteristic, complemented
74C2×#124×C89C2211yescharacteristic, complemented
75#525×C89—21no—
76#525×C89—21no—
77#518×C89—21no—
78C4×#41×C89C2211yescharacteristic
79C4×#41×C89C2211yescharacteristic, complemented
80C2×C4×D4×C89—21no—
81C2×C4×D4×C89C2211yescharacteristic, complemented
82C2×C4×D4×C89C2211yescharacteristic, complemented
83#497×C89C2211yescharacteristic, complemented
84#496×C89C2211yescharacteristic
85#496×C89C2211yescharacteristic, complemented
86#496×C89C2211yescharacteristic, complemented
87#495×C89C2211yescharacteristic, complemented
88#495×C89C2211yescharacteristic, complemented
89#491×C89C2211yescharacteristic, complemented
90#490×C89C2211yescharacteristic, complemented
91#489×C89C2211yescharacteristic, complemented
92#489×C89C2211yescharacteristic, complemented
93#488×C89C2211yescharacteristic, complemented
94#488×C89C2211yescharacteristic, complemented
95#485×C89C2211yescharacteristic, complemented
96#484×C89C2211yescharacteristic, complemented
97#483×C89C2211yescharacteristic, complemented
98#482×C89C2211yescharacteristic, complemented
99#481×C89C2211yescharacteristic, complemented
100#480×C89C2211yescharacteristic, complemented
101#479×C89C2211yescharacteristic, complemented
102#479×C89C2211yescharacteristic, complemented
103#479×C89C2211yescharacteristic, complemented
104#478×C89C2211yescharacteristic, complemented
105#478×C89C2211yescharacteristic, complemented
106#478×C89C2211yescharacteristic, complemented
107#478×C89C2211yescharacteristic, complemented
108#478×C89C2211yescharacteristic, complemented
109#475×C89C2211yescharacteristic, complemented
110#474×C89C2211yescharacteristic, complemented
111#470×C89C2211yescharacteristic, complemented
112#469×C89C2211yescharacteristic
113#469×C89C2211yescharacteristic, complemented
114#469×C89C2211yescharacteristic, complemented
115#468×C89C2211yescharacteristic, complemented
116#468×C89C2211yescharacteristic, complemented
117#468×C89C2211yescharacteristic, complemented
118#468×C89C2211yescharacteristic, complemented
119#467×C89C2211yescharacteristic, complemented
120#466×C89C2211yescharacteristic
121#465×C89C2211yescharacteristic, complemented
122#465×C89C2211yescharacteristic, complemented
123#464×C89C2211yescharacteristic, complemented
124#464×C89C2211yescharacteristic, complemented
125#464×C89C2211yescharacteristic, complemented
126#464×C89C2211yescharacteristic, complemented
127#464×C89C2211yescharacteristic, complemented
128#464×C89C2211yescharacteristic, complemented
129#464×C89C2211yescharacteristic, complemented
130#463×C89C2211yescharacteristic
131#463×C89C2211yescharacteristic
132#463×C89C2211yescharacteristic
133#463×C89C2211yescharacteristic, complemented
134#463×C89C2211yescharacteristic, complemented
135#463×C89C2211yescharacteristic, complemented
136#463×C89C2211yescharacteristic, complemented
137#463×C89C2211yescharacteristic, complemented
138#463×C89C2211yescharacteristic, complemented
139#463×C89C2211yescharacteristic, complemented
140#463×C89C2211yescharacteristic, complemented
141#463×C89C2211yescharacteristic, complemented
142#463×C89C2211yescharacteristic, complemented
143#463×C89C2211yescharacteristic, complemented
144#463×C89C2211yescharacteristic, complemented
145#463×C89C2211yescharacteristic, complemented
146#463×C89C2211yescharacteristic, complemented
147#461×C89C2211yescharacteristic, complemented
148#461×C89C2211yescharacteristic, complemented
149#460×C89C2211yescharacteristic, complemented
150#459×C89C2211yescharacteristic
151#459×C89C2211yescharacteristic, complemented
152#459×C89C2211yescharacteristic, complemented
153#452×C89C2211yescharacteristic, complemented
154#452×C89C2211yescharacteristic, complemented
155#452×C89C2211yescharacteristic, complemented
156#451×C89C2211yescharacteristic, complemented
157#450×C89C2211yescharacteristic, complemented
158#450×C89C2211yescharacteristic, complemented
159#450×C89C2211yescharacteristic, complemented
160#449×C89C2211yescharacteristic
161#449×C89C2211yescharacteristic, complemented
162#449×C89C2211yescharacteristic, complemented
163#448×C89C2211yescharacteristic, complemented
164#448×C89C2211yescharacteristic, complemented
165#448×C89C2211yescharacteristic, complemented
166#447×C89C2211yescharacteristic
167#447×C89C2211yescharacteristic
168#447×C89C2211yescharacteristic
169#447×C89C2211yescharacteristic, complemented
170#447×C89C2211yescharacteristic, complemented
171#446×C89C2211yescharacteristic, complemented
172#446×C89C2211yescharacteristic, complemented
173#442×C89C2211yescharacteristic
174#442×C89C2211yescharacteristic, complemented
175#442×C89C2211yescharacteristic, complemented
176#441×C89C2211yescharacteristic, complemented
177#440×C89C2211yescharacteristic, complemented
178#440×C89C2211yescharacteristic, complemented
179#440×C89C2211yescharacteristic, complemented
180#440×C89C2211yescharacteristic, complemented
181C4×SD16×C89C2211yescharacteristic, complemented
182C4×SD16×C89C2211yescharacteristic, complemented
183C4×D8×C89C2211yescharacteristic, complemented
184C4×D8×C89C2211yescharacteristic, complemented
185#436×C89C2211yescharacteristic, complemented
186#436×C89C2211yescharacteristic, complemented
187#435×C89C2211yescharacteristic, complemented
188#435×C89C2211yescharacteristic, complemented
189#435×C89C2211yescharacteristic, complemented
190#435×C89C2211yescharacteristic, complemented
191#432×C89C2211yescharacteristic, complemented
192#432×C89C2211yescharacteristic, complemented
193#431×C89C2211yescharacteristic, complemented
194#423×C89C2211yescharacteristic, complemented
195#423×C89C2211yescharacteristic, complemented
196C2×C4⋊C8×C89C2211yescharacteristic, complemented
197#419×C89C2211yescharacteristic, complemented
198#418×C89C2211yescharacteristic, complemented
199#417×C89C2211yescharacteristic, complemented
200#417×C89C2211yescharacteristic, complemented
201C2×#103×C89C2211yescharacteristic, complemented
202C2×#102×C89C2211yescharacteristic, complemented
203C2×#41×C89—21no—
204C2×#41×C89D411yescharacteristic
205C2×#41×C89C2311yescharacteristic
206C2×#41×C89C2311yescharacteristic
207C2×#41×C89C2311yescharacteristic
208C22×Q8×C89C2311yescharacteristic
209C22×Q8×C89C2311yescharacteristic
210C22×D4×C89—21no—
211C22×D4×C89—21no—
212C22×D4×C89C2311yescharacteristic
213C22×D4×C89C2311yescharacteristic
214C22×D4×C89C2311yescharacteristic
215C22×D4×C89C2311yescharacteristic
216C23×C4×C89—21no—
217C23×C4×C89—21no—
218#137×C89—42no—
219AGL(1,ℤ/8)×C89—42no—
220AGL(1,ℤ/8)×C89—42no—
221AGL(1,ℤ/8)×C89—42no—
222C2×Q16×C89C2311yescharacteristic
223C2×Q16×C89C2311yescharacteristic
224C2×Q16×C89C2311yescharacteristic
225C2×SD16×C89—42no—
226C2×SD16×C89C2311yescharacteristic
227C2×SD16×C89C2311yescharacteristic
228C2×SD16×C89C2311yescharacteristic
229C2×SD16×C89C2311yescharacteristic
230C2×SD16×C89C2311yescharacteristic
231C2×SD16×C89C2311yescharacteristic
232C2×SD16×C89C2311yescharacteristic
233C2×SD16×C89C2311yescharacteristic
234C2×SD16×C89C2311yescharacteristic
235C2×SD16×C89C2311yescharacteristic
236C2×SD16×C89C2311yescharacteristic
237C2×SD16×C89C2311yescharacteristic
238C2×D8×C89—42no—
239C2×D8×C89C2311yescharacteristic
240C2×D8×C89C2311yescharacteristic
241C2×D8×C89C2311yescharacteristic
242C2×D8×C89C2311yescharacteristic
243C2×D8×C89C2311yescharacteristic
244C2×D8×C89C2311yescharacteristic
245C2×D8×C89C2311yescharacteristic
246C2×D8×C89C2311yescharacteristic
247C2×D8×C89C2311yescharacteristic
248C2×M16×C89C2311yescharacteristic
249C2×M16×C89C2311yescharacteristic
250C2×M16×C89C2311yescharacteristic
251C2×M16×C89C2311yescharacteristic
252C22×C8×C89C2311yescharacteristic
253C22×C8×C89C2311yescharacteristic
254C4⋊Q8×C89—21no—
255C4⋊Q8×C89C2311yescharacteristic
256C4⋊Q8×C89C2311yescharacteristic
257#127×C89C2311yescharacteristic
258#127×C89C2311yescharacteristic
259#126×C89—21no—
260#126×C89—21no—
261#126×C89—21no—
262#126×C89—21no—
263#126×C89—21no—
264#126×C89—21no—
265#126×C89—21no—
266#126×C89—21no—
267#126×C89—21no—
268#125×C89—21no—
269#125×C89C2311yescharacteristic
270#125×C89C2311yescharacteristic
271#125×C89C2311yescharacteristic
272#124×C89—21no—
273#124×C89—21no—
274#124×C89—21no—
275#124×C89—21no—
276#124×C89—21no—
277#124×C89—21no—
278#124×C89—21no—
279#124×C89—21no—
280#124×C89—21no—
281#124×C89C2311yescharacteristic
282#124×C89C2311yescharacteristic
283#124×C89C2311yescharacteristic
284#124×C89C2311yescharacteristic
285#124×C89C2311yescharacteristic
286#124×C89C2311yescharacteristic
287#124×C89C2311yescharacteristic
288#124×C89C2311yescharacteristic
289#124×C89C2311yescharacteristic
290#123×C89—21no—
291#123×C89—21no—
292#123×C89—21no—
293#123×C89—21no—
294#123×C89—21no—
295#123×C89—21no—
296#123×C89—21no—
297#123×C89—21no—
298#123×C89—21no—
299#123×C89—21no—
300#123×C89—21no—
301#123×C89—21no—
302#123×C89—21no—
303#123×C89—21no—
304#123×C89—21no—
305C22⋊Q8×C89—21no—
306C22⋊Q8×C89—21no—
307C22⋊Q8×C89—21no—
308C22⋊Q8×C89—21no—
309C22⋊Q8×C89—21no—
310C22⋊Q8×C89—21no—
311C22⋊Q8×C89—21no—
312C22⋊Q8×C89—21no—
313C22⋊Q8×C89—21no—
314C22⋊Q8×C89—21no—
315C22⋊Q8×C89C2311yescharacteristic
316C22⋊Q8×C89C2311yescharacteristic
317C22⋊Q8×C89C2311yescharacteristic
318C22⋊Q8×C89C2311yescharacteristic
319C22⋊Q8×C89C2311yescharacteristic
320#121×C89—21no—
321#121×C89—21no—
322#121×C89—21no—
323#121×C89—21no—
324#121×C89—21no—
325#121×C89—21no—
326#121×C89—21no—
327#121×C89—21no—
328#121×C89—21no—
329#121×C89—21no—
330#121×C89—21no—
331#121×C89—21no—
332#121×C89—21no—
333#121×C89C2311yescharacteristic
334#121×C89C2311yescharacteristic
335#121×C89C2311yescharacteristic
336#121×C89C2311yescharacteristic
337#121×C89C2311yescharacteristic
338#121×C89C2311yescharacteristic
339#121×C89C2311yescharacteristic
340#120×C89—21no—
341#120×C89—21no—
342#120×C89—21no—
343#120×C89—21no—
344#120×C89—21no—
345#120×C89—21no—
346#120×C89—21no—
347#120×C89—21no—
348C4×Q8×C89D411yescharacteristic
349C4×Q8×C89C2311yescharacteristic
350C4×Q8×C89C2311yescharacteristic
351C4×Q8×C89C2311yescharacteristic
352C4×Q8×C89C2311yescharacteristic
353C4×Q8×C89C2311yescharacteristic
354C4×Q8×C89C2311yescharacteristic
355C4×D4×C89—21no—
356C4×D4×C89—21no—
357C4×D4×C89—21no—
358C4×D4×C89—21no—
359C4×D4×C89—21no—
360C4×D4×C89—21no—
361C4×D4×C89—21no—
362C4×D4×C89—21no—
363C4×D4×C89—21no—
364C4×D4×C89—21no—
365C4×D4×C89—21no—
366C4×D4×C89—21no—
367C4×D4×C89—21no—
368C4×D4×C89—21no—
369C4×D4×C89—21no—
370C4×D4×C89—21no—
371C4×D4×C89—21no—
372C4×D4×C89—21no—
373C4×D4×C89—21no—
374C4×D4×C89—21no—
375C4×D4×C89—21no—
376C4×D4×C89—21no—
377C4×D4×C89D411yescharacteristic
378C4×D4×C89D411yescharacteristic
379C4×D4×C89D411yescharacteristic
380C4×D4×C89C2311yescharacteristic
381C4×D4×C89C2311yescharacteristic
382C4×D4×C89C2311yescharacteristic
383C4×D4×C89C2311yescharacteristic
384C4×D4×C89C2311yescharacteristic
385C4×D4×C89C2311yescharacteristic
386C4×D4×C89C2311yescharacteristic
387C4×D4×C89C2311yescharacteristic
388C4×D4×C89C2311yescharacteristic
389C4×D4×C89C2311yescharacteristic
390C4×D4×C89C2311yescharacteristic
391C4×D4×C89C2311yescharacteristic
392C4×D4×C89C2311yescharacteristic
393C4×D4×C89C2311yescharacteristic
394#117×C89—21no—
395#117×C89—21no—
396#117×C89—21no—
397#117×C89—21no—
398#117×C89—21no—
399#117×C89—21no—
400#117×C89—21no—
401#117×C89D411yescharacteristic
402#117×C89D411yescharacteristic
403#117×C89D411yescharacteristic
404#117×C89C2311yescharacteristic
405C2×C4⋊C4×C89—21no—
406C2×C4⋊C4×C89C2311yescharacteristic
407C2×C4⋊C4×C89C2311yescharacteristic
408C2×C22⋊C4×C89—21no—
409C2×C22⋊C4×C89—21no—
410C2×C22⋊C4×C89—21no—
411C2×C22⋊C4×C89—21no—
412C2×C22⋊C4×C89—21no—
413C2×C22⋊C4×C89—21no—
414C2×C22⋊C4×C89—21no—
415C2×C22⋊C4×C89—21no—
416C2×C22⋊C4×C89—21no—
417C2×C22⋊C4×C89—21no—
418C2×C42×C89—21no—
419C2×C42×C89C2311yescharacteristic
420C2×C42×C89C2311yescharacteristic
421C2×C42×C89C2311yescharacteristic
422#107×C89C2311yescharacteristic
423#107×C89C2311yescharacteristic
424#107×C89C2311yescharacteristic
425#107×C89C2311yescharacteristic
426#106×C89C2311yescharacteristic
427#106×C89C2311yescharacteristic
428#106×C89C2311yescharacteristic
429#106×C89C2311yescharacteristic
430C4⋊C8×C89C2311yescharacteristic
431C4⋊C8×C89C2311yescharacteristic
432C4⋊C8×C89C2311yescharacteristic
433C4⋊C8×C89C2311yescharacteristic
434C4⋊C8×C89C2311yescharacteristic
435C4⋊C8×C89C2311yescharacteristic
436C4⋊C8×C89C2311yescharacteristic
437C4⋊C8×C89C2311yescharacteristic
438C4⋊C8×C89C2311yescharacteristic
439C4⋊C8×C89C2311yescharacteristic
440#103×C89C2311yescharacteristic
441#103×C89C2311yescharacteristic
442#103×C89C2311yescharacteristic
443#103×C89C2311yescharacteristic
444#103×C89C2311yescharacteristic
445#103×C89C2311yescharacteristic
446#103×C89C2311yescharacteristic
447#103×C89C2311yescharacteristic
448#103×C89C2311yescharacteristic
449#103×C89C2311yescharacteristic
450#103×C89C2311yescharacteristic
451#103×C89C2311yescharacteristic
452#103×C89C2311yescharacteristic
453#103×C89C2311yescharacteristic
454#102×C89C2311yescharacteristic
455#102×C89C2311yescharacteristic
456#102×C89C2311yescharacteristic
457#102×C89C2311yescharacteristic
458#102×C89C2311yescharacteristic
459#102×C89C2311yescharacteristic
460#102×C89C2311yescharacteristic
461#102×C89C2311yescharacteristic
462#102×C89C2311yescharacteristic
463#102×C89C2311yescharacteristic
464#102×C89C2311yescharacteristic
465#102×C89C2311yescharacteristic
466#102×C89C2311yescharacteristic
467#102×C89C2311yescharacteristic
468#102×C89C2311yescharacteristic
469#102×C89C2311yescharacteristic
470#102×C89C2311yescharacteristic
471#102×C89C2311yescharacteristic
472C22⋊C8×C89C2311yescharacteristic
473C22⋊C8×C89C2311yescharacteristic
474C22⋊C8×C89C2311yescharacteristic
475C22⋊C8×C89C2311yescharacteristic
476C22⋊C8×C89C2311yescharacteristic
477C22⋊C8×C89C2311yescharacteristic
478#97×C89C2311yescharacteristic
479#97×C89C2311yescharacteristic
480#97×C89C2311yescharacteristic
481#97×C89C2311yescharacteristic
482C4×C8×C89C2311yescharacteristic
483C4×C8×C89C2311yescharacteristic
484C24×C89—21no—
485C24×C89—21no—
486C24×C89—21no—
487C24×C89—21no—
488#41×C89—22no—
489#41×C89—42no—
490#41×C89—41no—
491#41×C89—41no—
492#41×C89—41no—
493#41×C89—41no—
494#41×C89—41no—
495#41×C89—82no—
496C2×Q8×C89—21no—
497C2×Q8×C89—21no—
498C2×Q8×C89—21no—
499C2×Q8×C89—41no—
500C2×Q8×C89—41no—
501C2×Q8×C89—41no—
502C2×Q8×C89—41no—
503C2×Q8×C89C2×D411yescharacteristic
504C2×Q8×C89C2411yescharacteristic
505C2×Q8×C89C2411yescharacteristic
506C2×Q8×C89C2411yescharacteristic
507C2×Q8×C89C2411yescharacteristic
508C2×D4×C89—22no—
509C2×D4×C89—22no—
510C2×D4×C89—21no—
511C2×D4×C89—21no—
512C2×D4×C89—21no—
513C2×D4×C89—21no—
514C2×D4×C89—21no—
515C2×D4×C89—21no—
516C2×D4×C89—21no—
517C2×D4×C89—21no—
518C2×D4×C89—21no—
519C2×D4×C89—21no—
520C2×D4×C89—21no—
521C2×D4×C89—21no—
522C2×D4×C89—21no—
523C2×D4×C89—21no—
524C2×D4×C89—21no—
525C2×D4×C89—21no—
526C2×D4×C89—21no—
527C2×D4×C89—21no—
528C2×D4×C89—41no—
529C2×D4×C89—41no—
530C2×D4×C89—41no—
531C2×D4×C89—41no—
532C2×D4×C89—41no—
533C2×D4×C89—41no—
534C2×D4×C89—44no—
535C2×D4×C89—44no—
536C2×D4×C89C2×D411yescharacteristic
537C2×D4×C89C2×D411yescharacteristic
538C2×D4×C89C2×D411yescharacteristic
539C2×D4×C89C2411yescharacteristic
540C2×D4×C89C2411yescharacteristic
541C2×D4×C89C2411yescharacteristic
542C2×D4×C89C2411yescharacteristic
543C2×D4×C89C2411yescharacteristic
544C2×D4×C89C2411yescharacteristic
545C22×C4×C89—21no—
546C22×C4×C89—21no—
547C22×C4×C89—21no—
548C22×C4×C89—21no—
549C22×C4×C89—21no—
550C22×C4×C89—21no—
551C22×C4×C89—21no—
552C22×C4×C89—21no—
553C22×C4×C89—21no—
554C22×C4×C89—21no—
555C22×C4×C89—21no—
556C22×C4×C89—21no—
557C22×C4×C89—21no—
558C22×C4×C89—21no—
559C22×C4×C89—21no—
560C22×C4×C89—21no—
561C22×C4×C89—21no—
562C22×C4×C89—21no—
563C22×C4×C89—82no—
564C22×C4×C89—82no—
565C22×C4×C89C2×D411yescharacteristic
566C22×C4×C89C2×D411yescharacteristic
567C22×C4×C89C2×D411yescharacteristic
568C22×C4×C89C2×D411yescharacteristic
569C22×C4×C89C2×D411yescharacteristic
570C22×C4×C89C2×D411yescharacteristic
571C22×C4×C89C2411yescharacteristic
572C22×C4×C89C2411yescharacteristic
573C22×C4×C89C2411yescharacteristic
574Q16×C89—41no—
575Q16×C89—41no—
576Q16×C89—41no—
577SD16×C89—22no—
578SD16×C89—22no—
579SD16×C89—22no—
580SD16×C89—41no—
581SD16×C89—41no—
582SD16×C89—41no—
583SD16×C89—41no—
584SD16×C89—41no—
585SD16×C89—41no—
586SD16×C89—41no—
587SD16×C89—41no—
588SD16×C89—41no—
589D8×C89—22no—
590D8×C89—22no—
591D8×C89—22no—
592D8×C89—41no—
593D8×C89—41no—
594D8×C89—41no—
595D8×C89—41no—
596D8×C89—41no—
597D8×C89—41no—
598M16×C89—41no—
599M16×C89—41no—
600M16×C89—41no—
601M16×C89—41no—
602C2×C8×C89—41no—
603C2×C8×C89—41no—
604C2×C8×C89C2411yescharacteristic
605C2×C8×C89C2411yescharacteristic
606C2×C8×C89C2411yescharacteristic
607C2×C8×C89C2411yescharacteristic
608C2×C8×C89C2411yescharacteristic
609C2×C8×C89C2411yescharacteristic
610C2×C8×C89C2411yescharacteristic
611C2×C8×C89C2411yescharacteristic
612C4⋊C4×C89—21no—
613C4⋊C4×C89—21no—
614C4⋊C4×C89—21no—
615C4⋊C4×C89—21no—
616C4⋊C4×C89—21no—
617C4⋊C4×C89—21no—
618C4⋊C4×C89—21no—
619C4⋊C4×C89—21no—
620C4⋊C4×C89—21no—
621C4⋊C4×C89—21no—
622C4⋊C4×C89—21no—
623C4⋊C4×C89—21no—
624C4⋊C4×C89—21no—
625C4⋊C4×C89—21no—
626C4⋊C4×C89—21no—
627C4⋊C4×C89—21no—
628C4⋊C4×C89—21no—
629C4⋊C4×C89—21no—
630C4⋊C4×C89—21no—
631C4⋊C4×C89—21no—
632C4⋊C4×C89—21no—
633C4⋊C4×C89C2×D411yescharacteristic
634C4⋊C4×C89C2×D411yescharacteristic
635C4⋊C4×C89C2×D411yescharacteristic
636C4⋊C4×C89C2×D411yescharacteristic
637C4⋊C4×C89C2×D411yescharacteristic
638C4⋊C4×C89C2×D411yescharacteristic
639C4⋊C4×C89C2411yescharacteristic
640C4⋊C4×C89C2411yescharacteristic
641C4⋊C4×C89C2411yescharacteristic
642C4⋊C4×C89C2411yescharacteristic
643C4⋊C4×C89C2411yescharacteristic
644C4⋊C4×C89C2411yescharacteristic
645C22⋊C4×C89—21no—
646C22⋊C4×C89—21no—
647C22⋊C4×C89—21no—
648C22⋊C4×C89—21no—
649C22⋊C4×C89—21no—
650C22⋊C4×C89—21no—
651C22⋊C4×C89—21no—
652C22⋊C4×C89—21no—
653C22⋊C4×C89—21no—
654C22⋊C4×C89—21no—
655C22⋊C4×C89—21no—
656C22⋊C4×C89—21no—
657C22⋊C4×C89—21no—
658C22⋊C4×C89—21no—
659C22⋊C4×C89—21no—
660C22⋊C4×C89—21no—
661C22⋊C4×C89—21no—
662C22⋊C4×C89—21no—
663C22⋊C4×C89—21no—
664C22⋊C4×C89—21no—
665C22⋊C4×C89—21no—
666C22⋊C4×C89—21no—
667C22⋊C4×C89—21no—
668C22⋊C4×C89—21no—
669C22⋊C4×C89—21no—
670C22⋊C4×C89—21no—
671C22⋊C4×C89—21no—
672C22⋊C4×C89—21no—
673C22⋊C4×C89—21no—
674C22⋊C4×C89—21no—
675C22⋊C4×C89—21no—
676C22⋊C4×C89—21no—
677C22⋊C4×C89—21no—
678C22⋊C4×C89—21no—
679C22⋊C4×C89—21no—
680C22⋊C4×C89—21no—
681C22⋊C4×C89—21no—
682C22⋊C4×C89—21no—
683C22⋊C4×C89—21no—
684C22⋊C4×C89—21no—
685C22⋊C4×C89—21no—
686C22⋊C4×C89—21no—
687C22⋊C4×C89C2×D411yescharacteristic
688C22⋊C4×C89C2×D411yescharacteristic
689C22⋊C4×C89C2×D411yescharacteristic
690C22⋊C4×C89C2×D411yescharacteristic
691C22⋊C4×C89C2×D411yescharacteristic
692C22⋊C4×C89C2×D411yescharacteristic
693C42×C89—21no—
694C42×C89—21no—
695C42×C89—21no—
696C42×C89—21no—
697C42×C89—21no—
698C42×C89—21no—
699C42×C89C2×D411yescharacteristic
700C42×C89C2×D411yescharacteristic
701C42×C89C2×D411yescharacteristic
702C42×C89C2×D411yescharacteristic
703C42×C89C2×D411yescharacteristic
704C42×C89C2×D411yescharacteristic
705C42×C89C2411yescharacteristic
706C42×C89C2411yescharacteristic
707C42×C89C2411yescharacteristic
708C42×C89C2411yescharacteristic
709C23×C89—21no—
710C23×C89—21no—
711C23×C89—21no—
712C23×C89—21no—
713C23×C89—21no—
714C23×C89—21no—
715C23×C89—42no—
716C23×C89—42no—
717C23×C89—42no—
718C23×C89—42no—
719C23×C89—42no—
720C23×C89—42no—
721C23×C89—81no—
722C23×C89—81no—
723C23×C89—81no—
724C23×C89—81no—
725C23×C89—81no—
726C23×C89—81no—
727C23×C89C22×D411yescharacteristic
728C23×C89C22×D411yescharacteristic
729C23×C89C22×D411yescharacteristic
730Q8×C89—21no—
731Q8×C89—21no—
732Q8×C89—21no—
733Q8×C89—21no—
734Q8×C89—21no—
735Q8×C89—21no—
736Q8×C89—21no—
737Q8×C89—21no—
738Q8×C89—41no—
739Q8×C89—81no—
740Q8×C89—81no—
741Q8×C89—81no—
742D4×C89—22no—
743D4×C89—22no—
744D4×C89—21no—
745D4×C89—21no—
746D4×C89—21no—
747D4×C89—21no—
748D4×C89—21no—
749D4×C89—21no—
750D4×C89—21no—
751D4×C89—21no—
752D4×C89—21no—
753D4×C89—21no—
754D4×C89—21no—
755D4×C89—41no—
756D4×C89—42no—
757D4×C89—42no—
758D4×C89—42no—
759D4×C89—42no—
760D4×C89—42no—
761D4×C89—42no—
762D4×C89—42no—
763D4×C89—42no—
764D4×C89—42no—
765D4×C89—81no—
766D4×C89—81no—
767D4×C89—81no—
768D4×C89—81no—
769D4×C89—81no—
770D4×C89—81no—
771D4×C89—81no—
772D4×C89—81no—
773D4×C89—81no—
774D4×C89H(5,𝔽2)12yes—
775C2×C4×C89—22no—
776C2×C4×C89—21no—
777C2×C4×C89—21no—
778C2×C4×C89—21no—
779C2×C4×C89—21no—
780C2×C4×C89—21no—
781C2×C4×C89—21no—
782C2×C4×C89—21no—
783C2×C4×C89—21no—
784C2×C4×C89—21no—
785C2×C4×C89—21no—
786C2×C4×C89—21no—
787C2×C4×C89—21no—
788C2×C4×C89—21no—
789C2×C4×C89—21no—
790C2×C4×C89—21no—
791C2×C4×C89—21no—
792C2×C4×C89—41no—
793C2×C4×C89—41no—
794C2×C4×C89—41no—
795C2×C4×C89—41no—
796C2×C4×C89—41no—
797C2×C4×C89—42no—
798C2×C4×C89—42no—
799C2×C4×C89—42no—
800C2×C4×C89—42no—
801C2×C4×C89—42no—
802C2×C4×C89—42no—
803C2×C4×C89—81no—
804C2×C4×C89—81no—
805C2×C4×C89—81no—
806C2×C4×C89—81no—
807C2×C4×C89—81no—
808C2×C4×C89—81no—
809C2×C4×C89—81no—
810C2×C4×C89—81no—
811C2×C4×C89—81no—
812C2×C4×C89—81no—
813C2×C4×C89—81no—
814C2×C4×C89—81no—
815C2×C4×C89C22×D411yescharacteristic
816C2×C4×C89C22×D411yescharacteristic
817C2×C4×C89C22×D411yescharacteristic
818C2×C4×C89C22×D411yescharacteristic
819C2×C4×C89C22×D411yescharacteristic
820C2×C4×C89C22×D411yescharacteristic
821C2×C4×C89C22×D411yescharacteristic
822C2×C4×C89C22×D411yescharacteristic
823C2×C4×C89C22×D411yescharacteristic
824C2×C4×C89C22×D411yescharacteristic
825C2×C4×C89C22×D411yescharacteristic
826C2×C4×C89C2511yescharacteristic
827C8×C89—21no—
828C8×C89—21no—
829C8×C89—21no—
830C8×C89—21no—
831C8×C89—21no—
832C8×C89—21no—
833C8×C89—21no—
834C8×C89—21no—
835C22×C89—21no—
836C22×C89—21no—
837C22×C89—21no—
838C22×C89—21no—
839C22×C89—21no—
840C22×C89—21no—
841C22×C89—22no—
842C22×C89—21no—
843C22×C89—21no—
844C22×C89—41no—
845C22×C89—41no—
846C22×C89—41no—
847C22×C89—41no—
848C22×C89—41no—
849C22×C89—41no—
850C22×C89—41no—
851C22×C89—41no—
852C22×C89—41no—
853C22×C89—41no—
854C22×C89—41no—
855C22×C89—41no—
856C22×C89—41no—
857C22×C89—41no—
858C22×C89—41no—
859C22×C89—41no—
860C22×C89—41no—
861C22×C89—84no—
862C22×C89—84no—
863C22×C89—162no—
864C22×C89—162no—
865C22×C89#57512yes—
866C22×C89C23×D411yescharacteristic
867C4×C89—21no—
868C4×C89—21no—
869C4×C89—21no—
870C4×C89—21no—
871C4×C89—21no—
872C4×C89—21no—
873C4×C89—21no—
874C4×C89—21no—
875C4×C89—21no—
876C4×C89—21no—
877C4×C89—21no—
878C4×C89—41no—
879C4×C89—41no—
880C4×C89—41no—
881C4×C89—41no—
882C4×C89—41no—
883C4×C89—41no—
884C4×C89—41no—
885C4×C89—41no—
886C4×C89—41no—
887C4×C89—41no—
888C4×C89C2×H(5,𝔽2)11yescharacteristic
889C4×C89#58511yescharacteristic
890#61971C8911yesmaximal, characteristic, direct product factor, Sylow
891C2×C89—22no—
892C2×C89—41no—
893C2×C89—41no—
894C2×C89—42no—
895C2×C89—81no—
896C2×C89—81no—
897C2×C89—81no—
898C2×C89—81no—
899C2×C89—81no—
900C2×C89#348811yescharacteristic
901C2×C89C2×#57511yescharacteristic
902C2×C89#358511yescharacteristic
903#3514C2×C8911yescharacteristic, complemented
904#3481C2×C8911yescharacteristic, complemented
905#3403C2×C8911yescharacteristic, complemented
906#3401C2×C8911yescharacteristic, complemented
907#3376C2×C8911yescharacteristic, complemented
908#3370C2×C8911yescharacteristic, complemented
909#3326C2×C8911yescharacteristic, complemented
910#3322C2×C8911yescharacteristic, complemented
911#3320C2×C8911yescharacteristic, complemented
912#3318C2×C8911yescharacteristic, complemented
913#3316C2×C8911yescharacteristic, complemented
914#3314C2×C8911yescharacteristic, complemented
915#3275C2×C8911yescharacteristic, complemented
916#3273C2×C8911yescharacteristic, complemented
917#3266C2×C8911yescharacteristic, complemented
918#3265C2×C8911yescharacteristic, complemented
919#3264C2×C8911yescharacteristic, complemented
920#3264C2×C8911yescharacteristic, complemented
921#3256C2×C8911yescharacteristic, complemented
922#3251C2×C8911yescharacteristic, complemented
923#3250C2×C8911yescharacteristic, complemented
924#3219C2×C8911yescharacteristic, complemented
925#3213C2×C8911yescharacteristic, complemented
926#3211C2×C8911yescharacteristic, complemented
927#3114C2×C8911yescharacteristic, complemented
928#3111C2×C8911yescharacteristic, complemented
929#3105C2×C8911yescharacteristic, complemented
930#3040C2×C8911yescharacteristic, complemented
931#3036C2×C8911yescharacteristic, complemented
932C2×#463C2×C8911yescharacteristic, complemented
933#2989C2×C8911yescharacteristic, complemented
934C89#6197111yescharacteristic, direct product factor, Sylow
935C2×#137C22×C8911yescharacteristic, complemented
936C2×AGL(1,ℤ/8)C22×C8911yescharacteristic
937C2×AGL(1,ℤ/8)C22×C8911yescharacteristic, complemented
938C2×AGL(1,ℤ/8)C22×C8911yescharacteristic, complemented
939C22×SD16C22×C8911yescharacteristic, complemented
940C22×D8C22×C8911yescharacteristic
941#559C22×C8911yescharacteristic, complemented
942#559C22×C8911yescharacteristic, complemented
943#556C22×C8911yescharacteristic, complemented
944#555—21no—
945#554C22×C8911yescharacteristic, complemented
946#554C22×C8911yescharacteristic, complemented
947#553—21no—
948#553C22×C8911yescharacteristic
949#553C22×C8911yescharacteristic, complemented
950#551—21no—
951#551—21no—
952#551—21no—
953#551—21no—
954D4×Q8C22×C8911yescharacteristic, complemented
955#548C22×C8911yescharacteristic
956#548C22×C8911yescharacteristic, complemented
957#546—21no—
958#546—21no—
959#546C22×C8911yescharacteristic
960#546C22×C8911yescharacteristic
961#546C22×C8911yescharacteristic, complemented
962#546C22×C8911yescharacteristic, complemented
963D42C22×C8911yescharacteristic, complemented
964D42C22×C8911yescharacteristic, complemented
965#542—21no—
966#538—21no—
967#538—21no—
968#532C22×C8911yescharacteristic, complemented
969#532C22×C8911yescharacteristic, complemented
970#529—21no—
971#529C22×C8911yescharacteristic, complemented
972#529C22×C8911yescharacteristic, complemented
973#529C22×C8911yescharacteristic, complemented
974#529C22×C8911yescharacteristic, complemented
975#529C22×C8911yescharacteristic, complemented
976C2×#124C22×C8911yescharacteristic, complemented
977C2×#124C22×C8911yescharacteristic, complemented
978#525—21no—
979#525—21no—
980#518—21no—
981C4×#41C22×C8911yescharacteristic
982C4×#41C22×C8911yescharacteristic, complemented
983C2×C4×D4—21no—
984C2×C4×D4C22×C8911yescharacteristic, complemented
985C2×C4×D4C22×C8911yescharacteristic, complemented
986#497C22×C8911yescharacteristic, complemented
987#496C22×C8911yescharacteristic
988#496C22×C8911yescharacteristic, complemented
989#496C22×C8911yescharacteristic, complemented
990#495C22×C8911yescharacteristic, complemented
991#495C22×C8911yescharacteristic, complemented
992#491C22×C8911yescharacteristic, complemented
993#490C22×C8911yescharacteristic, complemented
994#489C22×C8911yescharacteristic, complemented
995#489C22×C8911yescharacteristic, complemented
996#488C22×C8911yescharacteristic, complemented
997#488C22×C8911yescharacteristic, complemented
998#485C22×C8911yescharacteristic, complemented
999#484C22×C8911yescharacteristic, complemented
1000#483C22×C8911yescharacteristic, complemented
1001#482C22×C8911yescharacteristic, complemented
1002#481C22×C8911yescharacteristic, complemented
1003#480C22×C8911yescharacteristic, complemented
1004#479C22×C8911yescharacteristic, complemented
1005#479C22×C8911yescharacteristic, complemented
1006#479C22×C8911yescharacteristic, complemented
1007#478C22×C8911yescharacteristic, complemented
1008#478C22×C8911yescharacteristic, complemented
1009#478C22×C8911yescharacteristic, complemented
1010#478C22×C8911yescharacteristic, complemented
1011#478C22×C8911yescharacteristic, complemented
1012#475C22×C8911yescharacteristic, complemented
1013#474C22×C8911yescharacteristic, complemented
1014#470C22×C8911yescharacteristic, complemented
1015#469C22×C8911yescharacteristic
1016#469C22×C8911yescharacteristic, complemented
1017#469C22×C8911yescharacteristic, complemented
1018#468C22×C8911yescharacteristic, complemented
1019#468C22×C8911yescharacteristic, complemented
1020#468C22×C8911yescharacteristic, complemented
1021#468C22×C8911yescharacteristic, complemented
1022#467C22×C8911yescharacteristic, complemented
1023#466C22×C8911yescharacteristic
1024#465C22×C8911yescharacteristic, complemented
1025#465C22×C8911yescharacteristic, complemented
1026#464C22×C8911yescharacteristic, complemented
1027#464C22×C8911yescharacteristic, complemented
1028#464C22×C8911yescharacteristic, complemented
1029#464C22×C8911yescharacteristic, complemented
1030#464C22×C8911yescharacteristic, complemented
1031#464C22×C8911yescharacteristic, complemented
1032#464C22×C8911yescharacteristic, complemented
1033#463C22×C8911yescharacteristic
1034#463C22×C8911yescharacteristic
1035#463C22×C8911yescharacteristic
1036#463C22×C8911yescharacteristic, complemented
1037#463C22×C8911yescharacteristic, complemented
1038#463C22×C8911yescharacteristic, complemented
1039#463C22×C8911yescharacteristic, complemented
1040#463C22×C8911yescharacteristic, complemented
1041#463C22×C8911yescharacteristic, complemented
1042#463C22×C8911yescharacteristic, complemented
1043#463C22×C8911yescharacteristic, complemented
1044#463C22×C8911yescharacteristic, complemented
1045#463C22×C8911yescharacteristic, complemented
1046#463C22×C8911yescharacteristic, complemented
1047#463C22×C8911yescharacteristic, complemented
1048#463C22×C8911yescharacteristic, complemented
1049#463C22×C8911yescharacteristic, complemented
1050#461C22×C8911yescharacteristic, complemented
1051#461C22×C8911yescharacteristic, complemented
1052#460C22×C8911yescharacteristic, complemented
1053#459C22×C8911yescharacteristic
1054#459C22×C8911yescharacteristic, complemented
1055#459C22×C8911yescharacteristic, complemented
1056#452C22×C8911yescharacteristic, complemented
1057#452C22×C8911yescharacteristic, complemented
1058#452C22×C8911yescharacteristic, complemented
1059#451C22×C8911yescharacteristic, complemented
1060#450C22×C8911yescharacteristic, complemented
1061#450C22×C8911yescharacteristic, complemented
1062#450C22×C8911yescharacteristic, complemented
1063#449C22×C8911yescharacteristic
1064#449C22×C8911yescharacteristic, complemented
1065#449C22×C8911yescharacteristic, complemented
1066#448C22×C8911yescharacteristic, complemented
1067#448C22×C8911yescharacteristic, complemented
1068#448C22×C8911yescharacteristic, complemented
1069#447C22×C8911yescharacteristic
1070#447C22×C8911yescharacteristic
1071#447C22×C8911yescharacteristic
1072#447C22×C8911yescharacteristic, complemented
1073#447C22×C8911yescharacteristic, complemented
1074#446C22×C8911yescharacteristic, complemented
1075#446C22×C8911yescharacteristic, complemented
1076#442C22×C8911yescharacteristic
1077#442C22×C8911yescharacteristic, complemented
1078#442C22×C8911yescharacteristic, complemented
1079#441C22×C8911yescharacteristic, complemented
1080#440C22×C8911yescharacteristic, complemented
1081#440C22×C8911yescharacteristic, complemented
1082#440C22×C8911yescharacteristic, complemented
1083#440C22×C8911yescharacteristic, complemented
1084C4×SD16C22×C8911yescharacteristic, complemented
1085C4×SD16C22×C8911yescharacteristic, complemented
1086C4×D8C22×C8911yescharacteristic, complemented
1087C4×D8C22×C8911yescharacteristic, complemented
1088#436C22×C8911yescharacteristic, complemented
1089#436C22×C8911yescharacteristic, complemented
1090#435C22×C8911yescharacteristic, complemented
1091#435C22×C8911yescharacteristic, complemented
1092#435C22×C8911yescharacteristic, complemented
1093#435C22×C8911yescharacteristic, complemented
1094#432C22×C8911yescharacteristic, complemented
1095#432C22×C8911yescharacteristic, complemented
1096#431C22×C8911yescharacteristic, complemented
1097#423C22×C8911yescharacteristic, complemented
1098#423C22×C8911yescharacteristic, complemented
1099C2×C4⋊C8C22×C8911yescharacteristic, complemented
1100#419C22×C8911yescharacteristic, complemented
1101#418C22×C8911yescharacteristic, complemented
1102#417C22×C8911yescharacteristic, complemented
1103#417C22×C8911yescharacteristic, complemented
1104C2×#103C22×C8911yescharacteristic, complemented
1105C2×#102C22×C8911yescharacteristic, complemented
1106C2×#41—21no—
1107C2×#41D4×C8911yescharacteristic
1108C2×#41C23×C8911yescharacteristic
1109C2×#41C23×C8911yescharacteristic
1110C2×#41C23×C8911yescharacteristic
1111C22×Q8C23×C8911yescharacteristic
1112C22×Q8C23×C8911yescharacteristic
1113C22×D4—21no—
1114C22×D4—21no—
1115C22×D4C23×C8911yescharacteristic
1116C22×D4C23×C8911yescharacteristic
1117C22×D4C23×C8911yescharacteristic
1118C22×D4C23×C8911yescharacteristic
1119C23×C4—21no—
1120C23×C4—21no—
1121#137—42no—
1122AGL(1,ℤ/8)—42no—
1123AGL(1,ℤ/8)—42no—
1124AGL(1,ℤ/8)—42no—
1125C2×Q16C23×C8911yescharacteristic
1126C2×Q16C23×C8911yescharacteristic
1127C2×Q16C23×C8911yescharacteristic
1128C2×SD16—42no—
1129C2×SD16C23×C8911yescharacteristic
1130C2×SD16C23×C8911yescharacteristic
1131C2×SD16C23×C8911yescharacteristic
1132C2×SD16C23×C8911yescharacteristic
1133C2×SD16C23×C8911yescharacteristic
1134C2×SD16C23×C8911yescharacteristic
1135C2×SD16C23×C8911yescharacteristic
1136C2×SD16C23×C8911yescharacteristic
1137C2×SD16C23×C8911yescharacteristic
1138C2×SD16C23×C8911yescharacteristic
1139C2×SD16C23×C8911yescharacteristic
1140C2×SD16C23×C8911yescharacteristic
1141C2×D8—42no—
1142C2×D8C23×C8911yescharacteristic
1143C2×D8C23×C8911yescharacteristic
1144C2×D8C23×C8911yescharacteristic
1145C2×D8C23×C8911yescharacteristic
1146C2×D8C23×C8911yescharacteristic
1147C2×D8C23×C8911yescharacteristic
1148C2×D8C23×C8911yescharacteristic
1149C2×D8C23×C8911yescharacteristic
1150C2×D8C23×C8911yescharacteristic
1151C2×M16C23×C8911yescharacteristic
1152C2×M16C23×C8911yescharacteristic
1153C2×M16C23×C8911yescharacteristic
1154C2×M16C23×C8911yescharacteristic
1155C22×C8C23×C8911yescharacteristic
1156C22×C8C23×C8911yescharacteristic
1157C4⋊Q8—21no—
1158C4⋊Q8C23×C8911yescharacteristic
1159C4⋊Q8C23×C8911yescharacteristic
1160#127C23×C8911yescharacteristic
1161#127C23×C8911yescharacteristic
1162#126—21no—
1163#126—21no—
1164#126—21no—
1165#126—21no—
1166#126—21no—
1167#126—21no—
1168#126—21no—
1169#126—21no—
1170#126—21no—
1171#125—21no—
1172#125C23×C8911yescharacteristic
1173#125C23×C8911yescharacteristic
1174#125C23×C8911yescharacteristic
1175#124—21no—
1176#124—21no—
1177#124—21no—
1178#124—21no—
1179#124—21no—
1180#124—21no—
1181#124—21no—
1182#124—21no—
1183#124—21no—
1184#124C23×C8911yescharacteristic
1185#124C23×C8911yescharacteristic
1186#124C23×C8911yescharacteristic
1187#124C23×C8911yescharacteristic
1188#124C23×C8911yescharacteristic
1189#124C23×C8911yescharacteristic
1190#124C23×C8911yescharacteristic
1191#124C23×C8911yescharacteristic
1192#124C23×C8911yescharacteristic
1193#123—21no—
1194#123—21no—
1195#123—21no—
1196#123—21no—
1197#123—21no—
1198#123—21no—
1199#123—21no—
1200#123—21no—
1201#123—21no—
1202#123—21no—
1203#123—21no—
1204#123—21no—
1205#123—21no—
1206#123—21no—
1207#123—21no—
1208C22⋊Q8—21no—
1209C22⋊Q8—21no—
1210C22⋊Q8—21no—
1211C22⋊Q8—21no—
1212C22⋊Q8—21no—
1213C22⋊Q8—21no—
1214C22⋊Q8—21no—
1215C22⋊Q8—21no—
1216C22⋊Q8—21no—
1217C22⋊Q8—21no—
1218C22⋊Q8C23×C8911yescharacteristic
1219C22⋊Q8C23×C8911yescharacteristic
1220C22⋊Q8C23×C8911yescharacteristic
1221C22⋊Q8C23×C8911yescharacteristic
1222C22⋊Q8C23×C8911yescharacteristic
1223#121—21no—
1224#121—21no—
1225#121—21no—
1226#121—21no—
1227#121—21no—
1228#121—21no—
1229#121—21no—
1230#121—21no—
1231#121—21no—
1232#121—21no—
1233#121—21no—
1234#121—21no—
1235#121—21no—
1236#121C23×C8911yescharacteristic
1237#121C23×C8911yescharacteristic
1238#121C23×C8911yescharacteristic
1239#121C23×C8911yescharacteristic
1240#121C23×C8911yescharacteristic
1241#121C23×C8911yescharacteristic
1242#121C23×C8911yescharacteristic
1243#120—21no—
1244#120—21no—
1245#120—21no—
1246#120—21no—
1247#120—21no—
1248#120—21no—
1249#120—21no—
1250#120—21no—
1251C4×Q8D4×C8911yescharacteristic
1252C4×Q8C23×C8911yescharacteristic
1253C4×Q8C23×C8911yescharacteristic
1254C4×Q8C23×C8911yescharacteristic
1255C4×Q8C23×C8911yescharacteristic
1256C4×Q8C23×C8911yescharacteristic
1257C4×Q8C23×C8911yescharacteristic
1258C4×D4—21no—
1259C4×D4—21no—
1260C4×D4—21no—
1261C4×D4—21no—
1262C4×D4—21no—
1263C4×D4—21no—
1264C4×D4—21no—
1265C4×D4—21no—
1266C4×D4—21no—
1267C4×D4—21no—
1268C4×D4—21no—
1269C4×D4—21no—
1270C4×D4—21no—
1271C4×D4—21no—
1272C4×D4—21no—
1273C4×D4—21no—
1274C4×D4—21no—
1275C4×D4—21no—
1276C4×D4—21no—
1277C4×D4—21no—
1278C4×D4—21no—
1279C4×D4—21no—
1280C4×D4D4×C8911yescharacteristic
1281C4×D4D4×C8911yescharacteristic
1282C4×D4D4×C8911yescharacteristic
1283C4×D4C23×C8911yescharacteristic
1284C4×D4C23×C8911yescharacteristic
1285C4×D4C23×C8911yescharacteristic
1286C4×D4C23×C8911yescharacteristic
1287C4×D4C23×C8911yescharacteristic
1288C4×D4C23×C8911yescharacteristic
1289C4×D4C23×C8911yescharacteristic
1290C4×D4C23×C8911yescharacteristic
1291C4×D4C23×C8911yescharacteristic
1292C4×D4C23×C8911yescharacteristic
1293C4×D4C23×C8911yescharacteristic
1294C4×D4C23×C8911yescharacteristic
1295C4×D4C23×C8911yescharacteristic
1296C4×D4C23×C8911yescharacteristic
1297#117—21no—
1298#117—21no—
1299#117—21no—
1300#117—21no—
1301#117—21no—
1302#117—21no—
1303#117—21no—
1304#117D4×C8911yescharacteristic
1305#117D4×C8911yescharacteristic
1306#117D4×C8911yescharacteristic
1307#117C23×C8911yescharacteristic
1308C2×C4⋊C4—21no—
1309C2×C4⋊C4C23×C8911yescharacteristic
1310C2×C4⋊C4C23×C8911yescharacteristic
1311C2×C22⋊C4—21no—
1312C2×C22⋊C4—21no—
1313C2×C22⋊C4—21no—
1314C2×C22⋊C4—21no—
1315C2×C22⋊C4—21no—
1316C2×C22⋊C4—21no—
1317C2×C22⋊C4—21no—
1318C2×C22⋊C4—21no—
1319C2×C22⋊C4—21no—
1320C2×C22⋊C4—21no—
1321C2×C42—21no—
1322C2×C42C23×C8911yescharacteristic
1323C2×C42C23×C8911yescharacteristic
1324C2×C42C23×C8911yescharacteristic
1325#107C23×C8911yescharacteristic
1326#107C23×C8911yescharacteristic
1327#107C23×C8911yescharacteristic
1328#107C23×C8911yescharacteristic
1329#106C23×C8911yescharacteristic
1330#106C23×C8911yescharacteristic
1331#106C23×C8911yescharacteristic
1332#106C23×C8911yescharacteristic
1333C4⋊C8C23×C8911yescharacteristic
1334C4⋊C8C23×C8911yescharacteristic
1335C4⋊C8C23×C8911yescharacteristic
1336C4⋊C8C23×C8911yescharacteristic
1337C4⋊C8C23×C8911yescharacteristic
1338C4⋊C8C23×C8911yescharacteristic
1339C4⋊C8C23×C8911yescharacteristic
1340C4⋊C8C23×C8911yescharacteristic
1341C4⋊C8C23×C8911yescharacteristic
1342C4⋊C8C23×C8911yescharacteristic
1343#103C23×C8911yescharacteristic
1344#103C23×C8911yescharacteristic
1345#103C23×C8911yescharacteristic
1346#103C23×C8911yescharacteristic
1347#103C23×C8911yescharacteristic
1348#103C23×C8911yescharacteristic
1349#103C23×C8911yescharacteristic
1350#103C23×C8911yescharacteristic
1351#103C23×C8911yescharacteristic
1352#103C23×C8911yescharacteristic
1353#103C23×C8911yescharacteristic
1354#103C23×C8911yescharacteristic
1355#103C23×C8911yescharacteristic
1356#103C23×C8911yescharacteristic
1357#102C23×C8911yescharacteristic
1358#102C23×C8911yescharacteristic
1359#102C23×C8911yescharacteristic
1360#102C23×C8911yescharacteristic
1361#102C23×C8911yescharacteristic
1362#102C23×C8911yescharacteristic
1363#102C23×C8911yescharacteristic
1364#102C23×C8911yescharacteristic
1365#102C23×C8911yescharacteristic
1366#102C23×C8911yescharacteristic
1367#102C23×C8911yescharacteristic
1368#102C23×C8911yescharacteristic
1369#102C23×C8911yescharacteristic
1370#102C23×C8911yescharacteristic
1371#102C23×C8911yescharacteristic
1372#102C23×C8911yescharacteristic
1373#102C23×C8911yescharacteristic
1374#102C23×C8911yescharacteristic
1375C22⋊C8C23×C8911yescharacteristic
1376C22⋊C8C23×C8911yescharacteristic
1377C22⋊C8C23×C8911yescharacteristic
1378C22⋊C8C23×C8911yescharacteristic
1379C22⋊C8C23×C8911yescharacteristic
1380C22⋊C8C23×C8911yescharacteristic
1381#97C23×C8911yescharacteristic
1382#97C23×C8911yescharacteristic
1383#97C23×C8911yescharacteristic
1384#97C23×C8911yescharacteristic
1385C4×C8C23×C8911yescharacteristic
1386C4×C8C23×C8911yescharacteristic
1387C24—21no—
1388C24—21no—
1389C24—21no—
1390C24—21no—
1391#41—22no—
1392#41—42no—
1393#41—41no—
1394#41—41no—
1395#41—41no—
1396#41—41no—
1397#41—41no—
1398#41—82no—
1399C2×Q8—21no—
1400C2×Q8—21no—
1401C2×Q8—21no—
1402C2×Q8—41no—
1403C2×Q8—41no—
1404C2×Q8—41no—
1405C2×Q8—41no—
1406C2×Q8C2×D4×C8911yescharacteristic
1407C2×Q8C24×C8911yescharacteristic
1408C2×Q8C24×C8911yescharacteristic
1409C2×Q8C24×C8911yescharacteristic
1410C2×Q8C24×C8911yescharacteristic
1411C2×D4—22no—
1412C2×D4—22no—
1413C2×D4—21no—
1414C2×D4—21no—
1415C2×D4—21no—
1416C2×D4—21no—
1417C2×D4—21no—
1418C2×D4—21no—
1419C2×D4—21no—
1420C2×D4—21no—
1421C2×D4—21no—
1422C2×D4—21no—
1423C2×D4—21no—
1424C2×D4—21no—
1425C2×D4—21no—
1426C2×D4—21no—
1427C2×D4—21no—
1428C2×D4—21no—
1429C2×D4—21no—
1430C2×D4—21no—
1431C2×D4—41no—
1432C2×D4—41no—
1433C2×D4—41no—
1434C2×D4—41no—
1435C2×D4—41no—
1436C2×D4—41no—
1437C2×D4—44no—
1438C2×D4—44no—
1439C2×D4C2×D4×C8911yescharacteristic
1440C2×D4C2×D4×C8911yescharacteristic
1441C2×D4C2×D4×C8911yescharacteristic
1442C2×D4C24×C8911yescharacteristic
1443C2×D4C24×C8911yescharacteristic
1444C2×D4C24×C8911yescharacteristic
1445C2×D4C24×C8911yescharacteristic
1446C2×D4C24×C8911yescharacteristic
1447C2×D4C24×C8911yescharacteristic
1448C22×C4—21no—
1449C22×C4—21no—
1450C22×C4—21no—
1451C22×C4—21no—
1452C22×C4—21no—
1453C22×C4—21no—
1454C22×C4—21no—
1455C22×C4—21no—
1456C22×C4—21no—
1457C22×C4—21no—
1458C22×C4—21no—
1459C22×C4—21no—
1460C22×C4—21no—
1461C22×C4—21no—
1462C22×C4—21no—
1463C22×C4—21no—
1464C22×C4—21no—
1465C22×C4—21no—
1466C22×C4—82no—
1467C22×C4—82no—
1468C22×C4C2×D4×C8911yescharacteristic
1469C22×C4C2×D4×C8911yescharacteristic
1470C22×C4C2×D4×C8911yescharacteristic
1471C22×C4C2×D4×C8911yescharacteristic
1472C22×C4C2×D4×C8911yescharacteristic
1473C22×C4C2×D4×C8911yescharacteristic
1474C22×C4C24×C8911yescharacteristic
1475C22×C4C24×C8911yescharacteristic
1476C22×C4C24×C8911yescharacteristic
1477Q16—41no—
1478Q16—41no—
1479Q16—41no—
1480SD16—22no—
1481SD16—22no—
1482SD16—22no—
1483SD16—41no—
1484SD16—41no—
1485SD16—41no—
1486SD16—41no—
1487SD16—41no—
1488SD16—41no—
1489SD16—41no—
1490SD16—41no—
1491SD16—41no—
1492D8—22no—
1493D8—22no—
1494D8—22no—
1495D8—41no—
1496D8—41no—
1497D8—41no—
1498D8—41no—
1499D8—41no—
1500D8—41no—
1501M16—41no—
1502M16—41no—
1503M16—41no—
1504M16—41no—
1505C2×C8—41no—
1506C2×C8—41no—
1507C2×C8C24×C8911yescharacteristic
1508C2×C8C24×C8911yescharacteristic
1509C2×C8C24×C8911yescharacteristic
1510C2×C8C24×C8911yescharacteristic
1511C2×C8C24×C8911yescharacteristic
1512C2×C8C24×C8911yescharacteristic
1513C2×C8C24×C8911yescharacteristic
1514C2×C8C24×C8911yescharacteristic
1515C4⋊C4—21no—
1516C4⋊C4—21no—
1517C4⋊C4—21no—
1518C4⋊C4—21no—
1519C4⋊C4—21no—
1520C4⋊C4—21no—
1521C4⋊C4—21no—
1522C4⋊C4—21no—
1523C4⋊C4—21no—
1524C4⋊C4—21no—
1525C4⋊C4—21no—
1526C4⋊C4—21no—
1527C4⋊C4—21no—
1528C4⋊C4—21no—
1529C4⋊C4—21no—
1530C4⋊C4—21no—
1531C4⋊C4—21no—
1532C4⋊C4—21no—
1533C4⋊C4—21no—
1534C4⋊C4—21no—
1535C4⋊C4—21no—
1536C4⋊C4C2×D4×C8911yescharacteristic
1537C4⋊C4C2×D4×C8911yescharacteristic
1538C4⋊C4C2×D4×C8911yescharacteristic
1539C4⋊C4C2×D4×C8911yescharacteristic
1540C4⋊C4C2×D4×C8911yescharacteristic
1541C4⋊C4C2×D4×C8911yescharacteristic
1542C4⋊C4C24×C8911yescharacteristic
1543C4⋊C4C24×C8911yescharacteristic
1544C4⋊C4C24×C8911yescharacteristic
1545C4⋊C4C24×C8911yescharacteristic
1546C4⋊C4C24×C8911yescharacteristic
1547C4⋊C4C24×C8911yescharacteristic
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—21no—
1551C22⋊C4—21no—
1552C22⋊C4—21no—
1553C22⋊C4—21no—
1554C22⋊C4—21no—
1555C22⋊C4—21no—
1556C22⋊C4—21no—
1557C22⋊C4—21no—
1558C22⋊C4—21no—
1559C22⋊C4—21no—
1560C22⋊C4—21no—
1561C22⋊C4—21no—
1562C22⋊C4—21no—
1563C22⋊C4—21no—
1564C22⋊C4—21no—
1565C22⋊C4—21no—
1566C22⋊C4—21no—
1567C22⋊C4—21no—
1568C22⋊C4—21no—
1569C22⋊C4—21no—
1570C22⋊C4—21no—
1571C22⋊C4—21no—
1572C22⋊C4—21no—
1573C22⋊C4—21no—
1574C22⋊C4—21no—
1575C22⋊C4—21no—
1576C22⋊C4—21no—
1577C22⋊C4—21no—
1578C22⋊C4—21no—
1579C22⋊C4—21no—
1580C22⋊C4—21no—
1581C22⋊C4—21no—
1582C22⋊C4—21no—
1583C22⋊C4—21no—
1584C22⋊C4—21no—
1585C22⋊C4—21no—
1586C22⋊C4—21no—
1587C22⋊C4—21no—
1588C22⋊C4—21no—
1589C22⋊C4—21no—
1590C22⋊C4C2×D4×C8911yescharacteristic
1591C22⋊C4C2×D4×C8911yescharacteristic
1592C22⋊C4C2×D4×C8911yescharacteristic
1593C22⋊C4C2×D4×C8911yescharacteristic
1594C22⋊C4C2×D4×C8911yescharacteristic
1595C22⋊C4C2×D4×C8911yescharacteristic
1596C42—21no—
1597C42—21no—
1598C42—21no—
1599C42—21no—
1600C42—21no—
1601C42—21no—
1602C42C2×D4×C8911yescharacteristic
1603C42C2×D4×C8911yescharacteristic
1604C42C2×D4×C8911yescharacteristic
1605C42C2×D4×C8911yescharacteristic
1606C42C2×D4×C8911yescharacteristic
1607C42C2×D4×C8911yescharacteristic
1608C42C24×C8911yescharacteristic
1609C42C24×C8911yescharacteristic
1610C42C24×C8911yescharacteristic
1611C42C24×C8911yescharacteristic
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—21no—
1616C23—21no—
1617C23—21no—
1618C23—42no—
1619C23—42no—
1620C23—42no—
1621C23—42no—
1622C23—42no—
1623C23—42no—
1624C23—81no—
1625C23—81no—
1626C23—81no—
1627C23—81no—
1628C23—81no—
1629C23—81no—
1630C23C22×D4×C8911yescharacteristic
1631C23C22×D4×C8911yescharacteristic
1632C23C22×D4×C8911yescharacteristic
1633Q8—21no—
1634Q8—21no—
1635Q8—21no—
1636Q8—21no—
1637Q8—21no—
1638Q8—21no—
1639Q8—21no—
1640Q8—21no—
1641Q8—41no—
1642Q8—81no—
1643Q8—81no—
1644Q8—81no—
1645D4—22no—
1646D4—22no—
1647D4—21no—
1648D4—21no—
1649D4—21no—
1650D4—21no—
1651D4—21no—
1652D4—21no—
1653D4—21no—
1654D4—21no—
1655D4—21no—
1656D4—21no—
1657D4—21no—
1658D4—41no—
1659D4—42no—
1660D4—42no—
1661D4—42no—
1662D4—42no—
1663D4—42no—
1664D4—42no—
1665D4—42no—
1666D4—42no—
1667D4—42no—
1668D4—81no—
1669D4—81no—
1670D4—81no—
1671D4—81no—
1672D4—81no—
1673D4—81no—
1674D4—81no—
1675D4—81no—
1676D4—81no—
1677D4H(5,𝔽2)×C8912yes—
1678C2×C4—22no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—41no—
1696C2×C4—41no—
1697C2×C4—41no—
1698C2×C4—41no—
1699C2×C4—41no—
1700C2×C4—42no—
1701C2×C4—42no—
1702C2×C4—42no—
1703C2×C4—42no—
1704C2×C4—42no—
1705C2×C4—42no—
1706C2×C4—81no—
1707C2×C4—81no—
1708C2×C4—81no—
1709C2×C4—81no—
1710C2×C4—81no—
1711C2×C4—81no—
1712C2×C4—81no—
1713C2×C4—81no—
1714C2×C4—81no—
1715C2×C4—81no—
1716C2×C4—81no—
1717C2×C4—81no—
1718C2×C4C22×D4×C8911yescharacteristic
1719C2×C4C22×D4×C8911yescharacteristic
1720C2×C4C22×D4×C8911yescharacteristic
1721C2×C4C22×D4×C8911yescharacteristic
1722C2×C4C22×D4×C8911yescharacteristic
1723C2×C4C22×D4×C8911yescharacteristic
1724C2×C4C22×D4×C8911yescharacteristic
1725C2×C4C22×D4×C8911yescharacteristic
1726C2×C4C22×D4×C8911yescharacteristic
1727C2×C4C22×D4×C8911yescharacteristic
1728C2×C4C22×D4×C8911yescharacteristic
1729C2×C4C25×C8911yescharacteristic
1730C8—21no—
1731C8—21no—
1732C8—21no—
1733C8—21no—
1734C8—21no—
1735C8—21no—
1736C8—21no—
1737C8—21no—
1738C22—21no—
1739C22—21no—
1740C22—21no—
1741C22—21no—
1742C22—21no—
1743C22—21no—
1744C22—21no—
1745C22—21no—
1746C22—22no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—41no—
1753C22—41no—
1754C22—41no—
1755C22—41no—
1756C22—41no—
1757C22—41no—
1758C22—41no—
1759C22—41no—
1760C22—41no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—84no—
1765C22—84no—
1766C22—162no—
1767C22—162no—
1768C22#575×C8912yes—
1769C22C23×D4×C8911yescharacteristic
1770C4—21no—
1771C4—21no—
1772C4—21no—
1773C4—21no—
1774C4—21no—
1775C4—21no—
1776C4—21no—
1777C4—21no—
1778C4—21no—
1779C4—21no—
1780C4—21no—
1781C4—41no—
1782C4—41no—
1783C4—41no—
1784C4—41no—
1785C4—41no—
1786C4—41no—
1787C4—41no—
1788C4—41no—
1789C4—41no—
1790C4—41no—
1791C4C2×H(5,𝔽2)×C8911yescharacteristic
1792C4#585×C8911yescharacteristic
1793C2—22no—
1794C2—41no—
1795C2—41no—
1796C2—42no—
1797C2—81no—
1798C2—81no—
1799C2—81no—
1800C2—81no—
1801C2—81no—
1802C2C89×#348811yescharacteristic
1803C2C2×#575×C8911yescharacteristic
1804C2C89×#358511yescharacteristic
subgroupG/H
center, socleC22×C89C23×D4
commutator, Frattini, cosocleC2×C4C25×C89
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C89 ◁ C4×#41×C89 ◁ G

Complements

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

NH ≅ G/Ntype
1. C89×#3514C2semidirect
2. C89×#3481C2semidirect
3. C89×#3403C2semidirect
4. C89×#3401C2semidirect
5. C89×#3376C2semidirect
6. C89×#3370C2semidirect
7. C89×#3326C2semidirect
8. C89×#3322C2semidirect
9. C89×#3320C2semidirect
10. C89×#3318C2semidirect
11. C89×#3316C2semidirect
12. C89×#3314C2semidirect
13. C89×#3275C2semidirect
14. C89×#3273C2semidirect
15. C89×#3266C2semidirect
16. C89×#3265C2semidirect
17. C89×#3264C2semidirect
18. C89×#3264C2semidirect
19. C89×#3256C2semidirect
20. C89×#3251C2semidirect
21. C89×#3250C2semidirect
22. C89×#3219C2semidirect
23. C89×#3213C2semidirect
24. C89×#3211C2semidirect
25. C89×#3114C2semidirect
26. C89×#3111C2semidirect
27. C89×#3105C2semidirect
28. C89×#3040C2semidirect
29. C89×#3036C2semidirect
30. C2×#463×C89C2semidirect
31. C89×#2989C2semidirect
32. C2×#137×C89C22semidirect
34. C2×AGL(1,ℤ/8)×C89C22semidirect
35. C2×AGL(1,ℤ/8)×C89C22semidirect
36. C22×SD16×C89C22semidirect
38. #559×C89C22semidirect
39. #559×C89C22semidirect
40. #556×C89C22semidirect
42. #554×C89C22semidirect
43. #554×C89C22semidirect
46. #553×C89C22semidirect
51. D4×Q8×C89C22semidirect
53. #548×C89C22semidirect
58. #546×C89C22semidirect
59. #546×C89C22semidirect
60. D42×C89C22semidirect
61. D42×C89C22semidirect
65. #532×C89C22semidirect
66. #532×C89C22semidirect
68. #529×C89C22semidirect
69. #529×C89C22semidirect
70. #529×C89C22semidirect
71. #529×C89C22semidirect
72. #529×C89C22semidirect
73. C2×#124×C89C22semidirect
74. C2×#124×C89C22semidirect
79. C4×#41×C89C22semidirect
81. C2×C4×D4×C89C22semidirect
82. C2×C4×D4×C89C22semidirect
83. #497×C89C22semidirect
85. #496×C89C22semidirect
86. #496×C89C22semidirect
87. #495×C89C22semidirect
88. #495×C89C22semidirect
89. #491×C89C22semidirect
90. #490×C89C22semidirect
91. #489×C89C22semidirect
92. #489×C89C22semidirect
93. #488×C89C22semidirect
94. #488×C89C22semidirect
95. #485×C89C22semidirect
96. #484×C89C22semidirect
97. #483×C89C22semidirect
98. #482×C89C22semidirect
99. #481×C89C22semidirect
100. #480×C89C22semidirect
101. #479×C89C22semidirect
102. #479×C89C22semidirect
103. #479×C89C22semidirect
104. #478×C89C22semidirect
105. #478×C89C22semidirect
106. #478×C89C22semidirect
107. #478×C89C22semidirect
108. #478×C89C22semidirect
109. #475×C89C22semidirect
110. #474×C89C22semidirect
111. #470×C89C22semidirect
113. #469×C89C22semidirect
114. #469×C89C22semidirect
115. #468×C89C22semidirect
116. #468×C89C22semidirect
117. #468×C89C22semidirect
118. #468×C89C22semidirect
119. #467×C89C22semidirect
121. #465×C89C22semidirect
122. #465×C89C22semidirect
123. #464×C89C22semidirect
124. #464×C89C22semidirect
125. #464×C89C22semidirect
126. #464×C89C22semidirect
127. #464×C89C22semidirect
128. #464×C89C22semidirect
129. #464×C89C22semidirect
133. #463×C89C22semidirect
134. #463×C89C22semidirect
135. #463×C89C22semidirect
136. #463×C89C22semidirect
137. #463×C89C22semidirect
138. #463×C89C22semidirect
139. #463×C89C22semidirect
140. #463×C89C22semidirect
141. #463×C89C22semidirect
142. #463×C89C22semidirect
143. #463×C89C22semidirect
144. #463×C89C22semidirect
145. #463×C89C22semidirect
146. #463×C89C22semidirect
147. #461×C89C22semidirect
148. #461×C89C22semidirect
149. #460×C89C22semidirect
151. #459×C89C22semidirect
152. #459×C89C22semidirect
153. #452×C89C22semidirect
154. #452×C89C22semidirect
155. #452×C89C22semidirect
156. #451×C89C22semidirect
157. #450×C89C22semidirect
158. #450×C89C22semidirect
159. #450×C89C22semidirect
161. #449×C89C22semidirect
162. #449×C89C22semidirect
163. #448×C89C22semidirect
164. #448×C89C22semidirect
165. #448×C89C22semidirect
169. #447×C89C22semidirect
170. #447×C89C22semidirect
171. #446×C89C22semidirect
172. #446×C89C22semidirect
174. #442×C89C22semidirect
175. #442×C89C22semidirect
176. #441×C89C22semidirect
177. #440×C89C22semidirect
178. #440×C89C22semidirect
179. #440×C89C22semidirect
180. #440×C89C22semidirect
181. C4×SD16×C89C22semidirect
182. C4×SD16×C89C22semidirect
183. C4×D8×C89C22semidirect
184. C4×D8×C89C22semidirect
185. #436×C89C22semidirect
186. #436×C89C22semidirect
187. #435×C89C22semidirect
188. #435×C89C22semidirect
189. #435×C89C22semidirect
190. #435×C89C22semidirect
191. #432×C89C22semidirect
192. #432×C89C22semidirect
193. #431×C89C22semidirect
194. #423×C89C22semidirect
195. #423×C89C22semidirect
196. C2×C4⋊C8×C89C22semidirect
197. #419×C89C22semidirect
198. #418×C89C22semidirect
199. #417×C89C22semidirect
200. #417×C89C22semidirect
201. C2×#103×C89C22semidirect
202. C2×#102×C89C22semidirect
890. #61971C89direct (N × H)
903. #3514C2×C89semidirect
904. #3481C2×C89semidirect
905. #3403C2×C89semidirect
906. #3401C2×C89semidirect
907. #3376C2×C89semidirect
908. #3370C2×C89semidirect
909. #3326C2×C89semidirect
910. #3322C2×C89semidirect
911. #3320C2×C89semidirect
912. #3318C2×C89semidirect
913. #3316C2×C89semidirect
914. #3314C2×C89semidirect
915. #3275C2×C89semidirect
916. #3273C2×C89semidirect
917. #3266C2×C89semidirect
918. #3265C2×C89semidirect
919. #3264C2×C89semidirect
920. #3264C2×C89semidirect
921. #3256C2×C89semidirect
922. #3251C2×C89semidirect
923. #3250C2×C89semidirect
924. #3219C2×C89semidirect
925. #3213C2×C89semidirect
926. #3211C2×C89semidirect
927. #3114C2×C89semidirect
928. #3111C2×C89semidirect
929. #3105C2×C89semidirect
930. #3040C2×C89semidirect
931. #3036C2×C89semidirect
932. C2×#463C2×C89semidirect
933. #2989C2×C89semidirect
934. C89#61971direct (N × H)
935. C2×#137C22×C89semidirect
937. C2×AGL(1,ℤ/8)C22×C89semidirect
938. C2×AGL(1,ℤ/8)C22×C89semidirect
939. C22×SD16C22×C89semidirect
941. #559C22×C89semidirect
942. #559C22×C89semidirect
943. #556C22×C89semidirect
945. #554C22×C89semidirect
946. #554C22×C89semidirect
949. #553C22×C89semidirect
954. D4×Q8C22×C89semidirect
956. #548C22×C89semidirect
961. #546C22×C89semidirect
962. #546C22×C89semidirect
963. D42C22×C89semidirect
964. D42C22×C89semidirect
968. #532C22×C89semidirect
969. #532C22×C89semidirect
971. #529C22×C89semidirect
972. #529C22×C89semidirect
973. #529C22×C89semidirect
974. #529C22×C89semidirect
975. #529C22×C89semidirect
976. C2×#124C22×C89semidirect
977. C2×#124C22×C89semidirect
982. C4×#41C22×C89semidirect
984. C2×C4×D4C22×C89semidirect
985. C2×C4×D4C22×C89semidirect
986. #497C22×C89semidirect
988. #496C22×C89semidirect
989. #496C22×C89semidirect
990. #495C22×C89semidirect
991. #495C22×C89semidirect
992. #491C22×C89semidirect
993. #490C22×C89semidirect
994. #489C22×C89semidirect
995. #489C22×C89semidirect
996. #488C22×C89semidirect
997. #488C22×C89semidirect
998. #485C22×C89semidirect
999. #484C22×C89semidirect
1000. #483C22×C89semidirect
1001. #482C22×C89semidirect
1002. #481C22×C89semidirect
1003. #480C22×C89semidirect
1004. #479C22×C89semidirect
1005. #479C22×C89semidirect
1006. #479C22×C89semidirect
1007. #478C22×C89semidirect
1008. #478C22×C89semidirect
1009. #478C22×C89semidirect
1010. #478C22×C89semidirect
1011. #478C22×C89semidirect
1012. #475C22×C89semidirect
1013. #474C22×C89semidirect
1014. #470C22×C89semidirect
1016. #469C22×C89semidirect
1017. #469C22×C89semidirect
1018. #468C22×C89semidirect
1019. #468C22×C89semidirect
1020. #468C22×C89semidirect
1021. #468C22×C89semidirect
1022. #467C22×C89semidirect
1024. #465C22×C89semidirect
1025. #465C22×C89semidirect
1026. #464C22×C89semidirect
1027. #464C22×C89semidirect
1028. #464C22×C89semidirect
1029. #464C22×C89semidirect
1030. #464C22×C89semidirect
1031. #464C22×C89semidirect
1032. #464C22×C89semidirect
1036. #463C22×C89semidirect
1037. #463C22×C89semidirect
1038. #463C22×C89semidirect
1039. #463C22×C89semidirect
1040. #463C22×C89semidirect
1041. #463C22×C89semidirect
1042. #463C22×C89semidirect
1043. #463C22×C89semidirect
1044. #463C22×C89semidirect
1045. #463C22×C89semidirect
1046. #463C22×C89semidirect
1047. #463C22×C89semidirect
1048. #463C22×C89semidirect
1049. #463C22×C89semidirect
1050. #461C22×C89semidirect
1051. #461C22×C89semidirect
1052. #460C22×C89semidirect
1054. #459C22×C89semidirect
1055. #459C22×C89semidirect
1056. #452C22×C89semidirect
1057. #452C22×C89semidirect
1058. #452C22×C89semidirect
1059. #451C22×C89semidirect
1060. #450C22×C89semidirect
1061. #450C22×C89semidirect
1062. #450C22×C89semidirect
1064. #449C22×C89semidirect
1065. #449C22×C89semidirect
1066. #448C22×C89semidirect
1067. #448C22×C89semidirect
1068. #448C22×C89semidirect
1072. #447C22×C89semidirect
1073. #447C22×C89semidirect
1074. #446C22×C89semidirect
1075. #446C22×C89semidirect
1077. #442C22×C89semidirect
1078. #442C22×C89semidirect
1079. #441C22×C89semidirect
1080. #440C22×C89semidirect
1081. #440C22×C89semidirect
1082. #440C22×C89semidirect
1083. #440C22×C89semidirect
1084. C4×SD16C22×C89semidirect
1085. C4×SD16C22×C89semidirect
1086. C4×D8C22×C89semidirect
1087. C4×D8C22×C89semidirect
1088. #436C22×C89semidirect
1089. #436C22×C89semidirect
1090. #435C22×C89semidirect
1091. #435C22×C89semidirect
1092. #435C22×C89semidirect
1093. #435C22×C89semidirect
1094. #432C22×C89semidirect
1095. #432C22×C89semidirect
1096. #431C22×C89semidirect
1097. #423C22×C89semidirect
1098. #423C22×C89semidirect
1099. C2×C4⋊C8C22×C89semidirect
1100. #419C22×C89semidirect
1101. #418C22×C89semidirect
1102. #417C22×C89semidirect
1103. #417C22×C89semidirect
1104. C2×#103C22×C89semidirect
1105. C2×#102C22×C89semidirect

Maximal subgroups

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

subgroupindex
C89×#35142
C89×#34812
C89×#34032
C89×#34012
C89×#33762
C89×#33702
C89×#33262
C89×#33222
C89×#33202
C89×#33182
C89×#33162
C89×#33142
C89×#32752
C89×#32732
C89×#32662
C89×#32652
C89×#32642
C89×#32562
C89×#32512
C89×#32502
C89×#32192
C89×#32132
C89×#32112
C89×#31142
C89×#31112
C89×#31052
C89×#30402
C89×#30362
C2×#463×C892
C89×#29892
#6197189