Finite Group Databasebeta

← C89×#61992 #36439840

Subgroups — C89×#61992 #36439840

Order 22784.

1870 conjugacy classes of subgroups.

The subgroup lattice has 1772 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C89×#3514C211yesmaximal, characteristic, complemented
2C89×#3480C211yesmaximal, characteristic, complemented
3C89×#3403C211yesmaximal, characteristic, complemented
4C89×#3401C211yesmaximal, characteristic, complemented
5C89×#3377C211yesmaximal, characteristic, complemented
6C89×#3371C211yesmaximal, characteristic, complemented
7C89×#3320C211yesmaximal, characteristic, complemented
8C89×#3318C211yesmaximal, characteristic, complemented
9C89×#3313C211yesmaximal, characteristic, complemented
10C89×#3311C211yesmaximal, characteristic, complemented
11C89×#3301C211yesmaximal, characteristic, complemented
12C89×#3297C211yesmaximal, characteristic, complemented
13C89×#3285C211yesmaximal, characteristic, complemented
14C89×#3282C211yesmaximal, characteristic, complemented
15C89×#3271C211yesmaximal, characteristic, complemented
16C89×#3270C211yesmaximal, characteristic, complemented
17C89×#3268C211yesmaximal, characteristic, complemented
18C89×#3265C211yesmaximal, characteristic, complemented
19C89×#3256C211yesmaximal, characteristic, complemented
20C89×#3250C211yesmaximal, characteristic, complemented
21C89×#3247C211yesmaximal, characteristic, complemented
22C89×#3219C211yesmaximal, characteristic, complemented
23C89×#3213C211yesmaximal, characteristic, complemented
24C89×#3211C211yesmaximal, characteristic, complemented
25C89×#3117C211yesmaximal, characteristic, complemented
26C89×#3111C211yesmaximal, characteristic, complemented
27C89×#3102C211yesmaximal, characteristic, complemented
28C89×#3040C211yesmaximal, characteristic, complemented
29C89×#3035C211yesmaximal, characteristic, complemented
30C2×#464×C89C211yesmaximal, characteristic, complemented
31C89×#2990C211yesmaximal, characteristic, complemented
32C2×#137×C89C2211yescharacteristic, complemented
33C2×AGL(1,ℤ/8)×C89C2211yescharacteristic
34C2×#135×C89C2211yescharacteristic, complemented
35C2×#135×C89C2211yescharacteristic, complemented
36C22×Q16×C89C2211yescharacteristic, complemented
37C22×SD16×C89C2211yescharacteristic
38#559×C89—21no—
39#559×C89C2211yescharacteristic
40#559×C89C2211yescharacteristic, complemented
41#557×C89C2211yescharacteristic, complemented
42#556×C89—21no—
43#556×C89C2211yescharacteristic
44#556×C89C2211yescharacteristic, complemented
45#555×C89—21no—
46#553×C89—21no—
47#553×C89—21no—
48#553×C89C2211yescharacteristic
49#553×C89C2211yescharacteristic, complemented
50#551×C89—21no—
51#551×C89—21no—
52#550×C89C2211yescharacteristic, complemented
53D4×Q8×C89C2211yescharacteristic
54#548×C89C2211yescharacteristic
55#548×C89C2211yescharacteristic
56#548×C89C2211yescharacteristic
57#548×C89C2211yescharacteristic, complemented
58#546×C89—21no—
59#546×C89C2211yescharacteristic
60#546×C89C2211yescharacteristic
61D42×C89C2211yescharacteristic
62#542×C89—21no—
63#538×C89—21no—
64#538×C89—21no—
65#532×C89—21no—
66#532×C89C2211yescharacteristic
67#532×C89C2211yescharacteristic, complemented
68#529×C89—21no—
69#529×C89—21no—
70#529×C89C2211yescharacteristic
71#529×C89C2211yescharacteristic
72#529×C89C2211yescharacteristic
73#529×C89C2211yescharacteristic, complemented
74#529×C89C2211yescharacteristic, complemented
75C2×#124×C89C2211yescharacteristic
76C2×#124×C89C2211yescharacteristic
77#518×C89—21no—
78C4×#41×C89—21no—
79C4×#41×C89C2211yescharacteristic
80C4×#41×C89C2211yescharacteristic, complemented
81C4×#41×C89C2211yescharacteristic, complemented
82C2×C4×Q8×C89C2211yescharacteristic, complemented
83#497×C89C2211yescharacteristic, complemented
84#496×C89C2211yescharacteristic
85#496×C89C2211yescharacteristic
86#496×C89C2211yescharacteristic, complemented
87#495×C89C2211yescharacteristic
88#495×C89C2211yescharacteristic, complemented
89#491×C89C2211yescharacteristic, complemented
90#490×C89C2211yescharacteristic
91#489×C89C2211yescharacteristic
92#489×C89C2211yescharacteristic, complemented
93#488×C89C2211yescharacteristic
94#488×C89C2211yescharacteristic, complemented
95#485×C89C2211yescharacteristic, complemented
96#485×C89C2211yescharacteristic, complemented
97#484×C89C2211yescharacteristic, complemented
98#482×C89C2211yescharacteristic
99#482×C89C2211yescharacteristic
100#481×C89C2211yescharacteristic
101#479×C89C2211yescharacteristic, complemented
102#479×C89C2211yescharacteristic, complemented
103#479×C89C2211yescharacteristic, complemented
104#479×C89C2211yescharacteristic, complemented
105#478×C89C2211yescharacteristic
106#478×C89C2211yescharacteristic, complemented
107#478×C89C2211yescharacteristic, complemented
108#478×C89C2211yescharacteristic, complemented
109#477×C89C2211yescharacteristic, complemented
110#476×C89C2211yescharacteristic, complemented
111#470×C89C2211yescharacteristic, complemented
112#469×C89C2211yescharacteristic
113#468×C89C2211yescharacteristic
114#468×C89C2211yescharacteristic, complemented
115#467×C89C2211yescharacteristic, complemented
116#466×C89C2211yescharacteristic
117#466×C89C2211yescharacteristic
118#466×C89C2211yescharacteristic
119#465×C89C2211yescharacteristic
120#465×C89C2211yescharacteristic, complemented
121#465×C89C2211yescharacteristic, complemented
122#465×C89C2211yescharacteristic, complemented
123#464×C89C2211yescharacteristic
124#464×C89C2211yescharacteristic
125#464×C89C2211yescharacteristic
126#464×C89C2211yescharacteristic
127#464×C89C2211yescharacteristic
128#464×C89C2211yescharacteristic, complemented
129#464×C89C2211yescharacteristic, complemented
130#464×C89C2211yescharacteristic, complemented
131#464×C89C2211yescharacteristic, complemented
132#464×C89C2211yescharacteristic, complemented
133#464×C89C2211yescharacteristic, complemented
134#464×C89C2211yescharacteristic, complemented
135#464×C89C2211yescharacteristic, complemented
136#464×C89C2211yescharacteristic, complemented
137#463×C89C2211yescharacteristic
138#463×C89C2211yescharacteristic
139#463×C89C2211yescharacteristic
140#463×C89C2211yescharacteristic
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#462×C89C2211yescharacteristic, complemented
148#461×C89C2211yescharacteristic, complemented
149#460×C89C2211yescharacteristic
150#460×C89C2211yescharacteristic, complemented
151#459×C89C2211yescharacteristic
152#459×C89C2211yescharacteristic, complemented
153#452×C89C2211yescharacteristic, complemented
154#452×C89C2211yescharacteristic, complemented
155#452×C89C2211yescharacteristic, complemented
156#452×C89C2211yescharacteristic, complemented
157#451×C89C2211yescharacteristic, complemented
158#451×C89C2211yescharacteristic, complemented
159#450×C89C2211yescharacteristic
160#449×C89C2211yescharacteristic
161#449×C89C2211yescharacteristic
162#449×C89C2211yescharacteristic, complemented
163#449×C89C2211yescharacteristic, complemented
164#448×C89C2211yescharacteristic
165#448×C89C2211yescharacteristic, complemented
166#448×C89C2211yescharacteristic, complemented
167#448×C89C2211yescharacteristic, complemented
168#447×C89C2211yescharacteristic
169#447×C89C2211yescharacteristic
170#447×C89C2211yescharacteristic
171#446×C89C2211yescharacteristic, complemented
172#446×C89C2211yescharacteristic, complemented
173#442×C89C2211yescharacteristic
174#441×C89C2211yescharacteristic, complemented
175#441×C89C2211yescharacteristic, complemented
176#441×C89C2211yescharacteristic, complemented
177#440×C89C2211yescharacteristic
178#440×C89C2211yescharacteristic, complemented
179#440×C89C2211yescharacteristic, complemented
180#440×C89C2211yescharacteristic, complemented
181C4×Q16×C89C2211yescharacteristic, complemented
182C4×SD16×C89C2211yescharacteristic, complemented
183C4×SD16×C89C2211yescharacteristic, complemented
184C4×D8×C89C2211yescharacteristic, complemented
185#435×C89C2211yescharacteristic
186#435×C89C2211yescharacteristic
187#435×C89C2211yescharacteristic, complemented
188#435×C89C2211yescharacteristic, complemented
189C8×D4×C89C2211yescharacteristic, complemented
190C8×D4×C89C2211yescharacteristic, complemented
191#432×C89C2211yescharacteristic, complemented
192#432×C89C2211yescharacteristic, complemented
193#431×C89C2211yescharacteristic, complemented
194#423×C89C2211yescharacteristic, complemented
195C2×C4⋊C8×C89C2211yescharacteristic, complemented
196C2×C4⋊C8×C89C2211yescharacteristic, complemented
197#419×C89C2211yescharacteristic, complemented
198#418×C89C2211yescharacteristic
199#416×C89C2211yescharacteristic, complemented
200#416×C89C2211yescharacteristic, complemented
201C2×#103×C89C2211yescharacteristic, complemented
202C2×#102×C89C2211yescharacteristic
203C2×#41×C89—21no—
204C2×#41×C89D411yescharacteristic
205C2×#41×C89C2311yescharacteristic
206C2×#41×C89C2311yescharacteristic
207C2×#41×C89C2311yescharacteristic
208C2×#41×C89C2311yescharacteristic
209C22×Q8×C89C2311yescharacteristic
210C22×Q8×C89C2311yescharacteristic
211C22×Q8×C89C2311yescharacteristic
212C22×D4×C89—21no—
213C22×D4×C89C2311yescharacteristic
214C22×D4×C89C2311yescharacteristic
215#137×C89—42no—
216AGL(1,ℤ/8)×C89—42no—
217#135×C89—42no—
218#135×C89—42no—
219C2×Q16×C89—42no—
220C2×Q16×C89C2311yescharacteristic
221C2×Q16×C89C2311yescharacteristic
222C2×Q16×C89C2311yescharacteristic
223C2×Q16×C89C2311yescharacteristic
224C2×Q16×C89C2311yescharacteristic
225C2×Q16×C89C2311yescharacteristic
226C2×SD16×C89—42no—
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×SD16×C89C2311yescharacteristic
239C2×D8×C89C2311yescharacteristic
240C2×D8×C89C2311yescharacteristic
241C2×D8×C89C2311yescharacteristic
242C2×D8×C89C2311yescharacteristic
243C2×D8×C89C2311yescharacteristic
244C2×D8×C89C2311yescharacteristic
245C2×M16×C89C2311yescharacteristic
246C2×M16×C89C2311yescharacteristic
247C22×C8×C89C2311yescharacteristic
248C22×C8×C89C2311yescharacteristic
249C22×C8×C89C2311yescharacteristic
250C22×C8×C89C2311yescharacteristic
251C4⋊Q8×C89—21no—
252C4⋊Q8×C89—21no—
253C4⋊Q8×C89C2311yescharacteristic
254C4⋊Q8×C89C2311yescharacteristic
255#127×C89—21no—
256#127×C89C2311yescharacteristic
257#127×C89C2311yescharacteristic
258#126×C89—21no—
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#126×C89—21no—
269#125×C89—21no—
270#125×C89—21no—
271#125×C89C2311yescharacteristic
272#125×C89C2311yescharacteristic
273#125×C89C2311yescharacteristic
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×C89—21no—
282#124×C89—21no—
283#124×C89—21no—
284#124×C89—21no—
285#124×C89—21no—
286#124×C89C2311yescharacteristic
287#124×C89C2311yescharacteristic
288#124×C89C2311yescharacteristic
289#124×C89C2311yescharacteristic
290#124×C89C2311yescharacteristic
291#124×C89C2311yescharacteristic
292#124×C89C2311yescharacteristic
293#124×C89C2311yescharacteristic
294#124×C89C2311yescharacteristic
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—
305#123×C89—21no—
306#123×C89—21no—
307#123×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×C89—21no—
334#121×C89C2311yescharacteristic
335#121×C89C2311yescharacteristic
336#121×C89C2311yescharacteristic
337#121×C89C2311yescharacteristic
338#121×C89C2311yescharacteristic
339#121×C89C2311yescharacteristic
340#121×C89C2311yescharacteristic
341#120×C89—21no—
342#120×C89—21no—
343#120×C89—21no—
344#120×C89—21no—
345C4×Q8×C89—21no—
346C4×Q8×C89—21no—
347C4×Q8×C89—21no—
348C4×Q8×C89—21no—
349C4×Q8×C89D411yescharacteristic
350C4×Q8×C89C2311yescharacteristic
351C4×Q8×C89C2311yescharacteristic
352C4×Q8×C89C2311yescharacteristic
353C4×Q8×C89C2311yescharacteristic
354C4×Q8×C89C2311yescharacteristic
355C4×Q8×C89C2311yescharacteristic
356C4×Q8×C89C2311yescharacteristic
357C4×Q8×C89C2311yescharacteristic
358C4×Q8×C89C2311yescharacteristic
359C4×Q8×C89C2311yescharacteristic
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×C89—21no—
378C4×D4×C89—21no—
379C4×D4×C89—21no—
380C4×D4×C89—21no—
381C4×D4×C89—21no—
382C4×D4×C89D411yescharacteristic
383C4×D4×C89D411yescharacteristic
384C4×D4×C89D411yescharacteristic
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
394C4×D4×C89C2311yescharacteristic
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×C89—21no—
402#117×C89—21no—
403#117×C89D411yescharacteristic
404#117×C89D411yescharacteristic
405#117×C89D411yescharacteristic
406#117×C89C2311yescharacteristic
407#117×C89C2311yescharacteristic
408C2×C4⋊C4×C89—21no—
409C2×C4⋊C4×C89C2311yescharacteristic
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×C42×C89—21no—
417C2×C42×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#103×C89C2311yescharacteristic
455#103×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—
486#41×C89—22no—
487#41×C89—22no—
488#41×C89—42no—
489#41×C89—41no—
490#41×C89—41no—
491#41×C89—44no—
492#41×C89—41no—
493#41×C89—41no—
494#41×C89—41no—
495#41×C89—41no—
496C2×Q8×C89—21no—
497C2×Q8×C89—21no—
498C2×Q8×C89—21no—
499C2×Q8×C89—21no—
500C2×Q8×C89—22no—
501C2×Q8×C89—41no—
502C2×Q8×C89—41no—
503C2×Q8×C89—41no—
504C2×Q8×C89—41no—
505C2×Q8×C89—41no—
506C2×Q8×C89C2×D411yescharacteristic
507C2×Q8×C89C2411yescharacteristic
508C2×Q8×C89C2411yescharacteristic
509C2×Q8×C89C2411yescharacteristic
510C2×Q8×C89C2411yescharacteristic
511C2×Q8×C89C2411yescharacteristic
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—21no—
529C2×D4×C89—41no—
530C2×D4×C89—41no—
531C2×D4×C89—41no—
532C2×D4×C89—41no—
533C2×D4×C89—44no—
534C2×D4×C89C2×D411yescharacteristic
535C2×D4×C89C2×D411yescharacteristic
536C2×D4×C89C2×D411yescharacteristic
537C2×D4×C89C2411yescharacteristic
538C2×D4×C89C2411yescharacteristic
539C2×D4×C89C2411yescharacteristic
540C2×D4×C89C2411yescharacteristic
541C2×D4×C89C2411yescharacteristic
542C22×C4×C89—21no—
543C22×C4×C89—21no—
544C22×C4×C89—21no—
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×C89C2×D411yescharacteristic
558C22×C4×C89C2×D411yescharacteristic
559C22×C4×C89C2×D411yescharacteristic
560C22×C4×C89C2×D411yescharacteristic
561C22×C4×C89C2×D411yescharacteristic
562C22×C4×C89C2×D411yescharacteristic
563C22×C4×C89C2411yescharacteristic
564C22×C4×C89C2411yescharacteristic
565C22×C4×C89C2411yescharacteristic
566Q16×C89—22no—
567Q16×C89—22no—
568Q16×C89—22no—
569Q16×C89—41no—
570Q16×C89—41no—
571Q16×C89—41no—
572SD16×C89—22no—
573SD16×C89—22no—
574SD16×C89—22no—
575SD16×C89—41no—
576SD16×C89—41no—
577SD16×C89—41no—
578SD16×C89—41no—
579SD16×C89—41no—
580SD16×C89—41no—
581SD16×C89—41no—
582SD16×C89—41no—
583SD16×C89—41no—
584D8×C89—41no—
585D8×C89—41no—
586D8×C89—41no—
587D8×C89—41no—
588D8×C89—41no—
589D8×C89—41no—
590M16×C89—41no—
591M16×C89—41no—
592C2×C8×C89—41no—
593C2×C8×C89—41no—
594C2×C8×C89—41no—
595C2×C8×C89—41no—
596C2×C8×C89C2411yescharacteristic
597C2×C8×C89C2411yescharacteristic
598C2×C8×C89C2411yescharacteristic
599C2×C8×C89C2411yescharacteristic
600C2×C8×C89C2411yescharacteristic
601C2×C8×C89C2411yescharacteristic
602C2×C8×C89C2411yescharacteristic
603C2×C8×C89C2411yescharacteristic
604C4⋊C4×C89—21no—
605C4⋊C4×C89—21no—
606C4⋊C4×C89—21no—
607C4⋊C4×C89—21no—
608C4⋊C4×C89—21no—
609C4⋊C4×C89—21no—
610C4⋊C4×C89—21no—
611C4⋊C4×C89—21no—
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×C89C2×D411yescharacteristic
629C4⋊C4×C89C2×D411yescharacteristic
630C4⋊C4×C89C2×D411yescharacteristic
631C4⋊C4×C89C2×D411yescharacteristic
632C4⋊C4×C89C2×D411yescharacteristic
633C4⋊C4×C89C2×D411yescharacteristic
634C4⋊C4×C89C2411yescharacteristic
635C4⋊C4×C89C2411yescharacteristic
636C4⋊C4×C89C2411yescharacteristic
637C4⋊C4×C89C2411yescharacteristic
638C4⋊C4×C89C2411yescharacteristic
639C4⋊C4×C89C2411yescharacteristic
640C22⋊C4×C89—21no—
641C22⋊C4×C89—21no—
642C22⋊C4×C89—21no—
643C22⋊C4×C89—21no—
644C22⋊C4×C89—21no—
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×C89C2×D411yescharacteristic
680C22⋊C4×C89C2×D411yescharacteristic
681C22⋊C4×C89C2×D411yescharacteristic
682C22⋊C4×C89C2×D411yescharacteristic
683C22⋊C4×C89C2×D411yescharacteristic
684C22⋊C4×C89C2×D411yescharacteristic
685C42×C89—21no—
686C42×C89—21no—
687C42×C89—21no—
688C42×C89—21no—
689C42×C89—21no—
690C42×C89—21no—
691C42×C89—21no—
692C42×C89—21no—
693C42×C89—21no—
694C42×C89—21no—
695C42×C89—21no—
696C42×C89C2×D411yescharacteristic
697C42×C89C2×D411yescharacteristic
698C42×C89C2×D411yescharacteristic
699C42×C89C2×D411yescharacteristic
700C42×C89C2×D411yescharacteristic
701C42×C89C2×D411yescharacteristic
702C42×C89C2411yescharacteristic
703C42×C89C2411yescharacteristic
704C42×C89C2411yescharacteristic
705C42×C89C2411yescharacteristic
706C23×C89—21no—
707C23×C89—21no—
708C23×C89—21no—
709C23×C89—21no—
710C23×C89—21no—
711C23×C89—42no—
712C23×C89—42no—
713C23×C89—81no—
714C23×C89—81no—
715C23×C89—81no—
716C23×C89—81no—
717C23×C89C22×D411yescharacteristic
718C23×C89C22×D411yescharacteristic
719C23×C89C22×D411yescharacteristic
720Q8×C89—21no—
721Q8×C89—21no—
722Q8×C89—21no—
723Q8×C89—21no—
724Q8×C89—21no—
725Q8×C89—21no—
726Q8×C89—21no—
727Q8×C89—21no—
728Q8×C89—21no—
729Q8×C89—41no—
730Q8×C89—42no—
731Q8×C89—42no—
732Q8×C89—81no—
733Q8×C89—81no—
734Q8×C89H(5,𝔽2)12yes—
735D4×C89—22no—
736D4×C89—22no—
737D4×C89—21no—
738D4×C89—21no—
739D4×C89—21no—
740D4×C89—21no—
741D4×C89—21no—
742D4×C89—21no—
743D4×C89—21no—
744D4×C89—21no—
745D4×C89—21no—
746D4×C89—21no—
747D4×C89—41no—
748D4×C89—42no—
749D4×C89—42no—
750D4×C89—42no—
751D4×C89—42no—
752D4×C89—42no—
753D4×C89—42no—
754D4×C89—42no—
755D4×C89—42no—
756D4×C89—81no—
757D4×C89—81no—
758D4×C89—81no—
759D4×C89—81no—
760D4×C89—81no—
761D4×C89—81no—
762D4×C89—81no—
763D4×C89—81no—
764D4×C89—81no—
765C2×C4×C89—22no—
766C2×C4×C89—21no—
767C2×C4×C89—21no—
768C2×C4×C89—21no—
769C2×C4×C89—21no—
770C2×C4×C89—21no—
771C2×C4×C89—21no—
772C2×C4×C89—21no—
773C2×C4×C89—21no—
774C2×C4×C89—21no—
775C2×C4×C89—21no—
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—41no—
784C2×C4×C89—41no—
785C2×C4×C89—41no—
786C2×C4×C89—41no—
787C2×C4×C89—41no—
788C2×C4×C89—42no—
789C2×C4×C89—42no—
790C2×C4×C89—42no—
791C2×C4×C89—42no—
792C2×C4×C89—42no—
793C2×C4×C89—42no—
794C2×C4×C89—81no—
795C2×C4×C89—81no—
796C2×C4×C89—81no—
797C2×C4×C89—81no—
798C2×C4×C89—81no—
799C2×C4×C89—81no—
800C2×C4×C89—81no—
801C2×C4×C89—81no—
802C2×C4×C89—81no—
803C2×C4×C89C22×D411yescharacteristic
804C2×C4×C89C22×D411yescharacteristic
805C2×C4×C89C22×D411yescharacteristic
806C2×C4×C89C22×D411yescharacteristic
807C2×C4×C89C22×D411yescharacteristic
808C2×C4×C89C22×D411yescharacteristic
809C2×C4×C89C22×D411yescharacteristic
810C2×C4×C89C22×D411yescharacteristic
811C2×C4×C89C22×D411yescharacteristic
812C2×C4×C89C22×D411yescharacteristic
813C2×C4×C89C22×D411yescharacteristic
814C2×C4×C89C2511yescharacteristic
815C8×C89—21no—
816C8×C89—21no—
817C8×C89—21no—
818C8×C89—21no—
819C8×C89—21no—
820C8×C89—21no—
821C8×C89—21no—
822C8×C89—21no—
823C22×C89—21no—
824C22×C89—21no—
825C22×C89—21no—
826C22×C89—21no—
827C22×C89—21no—
828C22×C89—21no—
829C22×C89—21no—
830C22×C89—21no—
831C22×C89—41no—
832C22×C89—41no—
833C22×C89—41no—
834C22×C89—41no—
835C22×C89—41no—
836C22×C89—41no—
837C22×C89—41no—
838C22×C89—41no—
839C22×C89—41no—
840C22×C89—41no—
841C22×C89—41no—
842C22×C89—41no—
843C22×C89—41no—
844C22×C89—41no—
845C22×C89—41no—
846C22×C89—162no—
847C22×C89—162no—
848C22×C89#57512yes—
849C22×C89C23×D411yescharacteristic
850C4×C89—21no—
851C4×C89—21no—
852C4×C89—21no—
853C4×C89—21no—
854C4×C89—21no—
855C4×C89—21no—
856C4×C89—21no—
857C4×C89—22no—
858C4×C89—21no—
859C4×C89—21no—
860C4×C89—21no—
861C4×C89—21no—
862C4×C89—41no—
863C4×C89—41no—
864C4×C89—41no—
865C4×C89—41no—
866C4×C89—41no—
867C4×C89—41no—
868C4×C89—41no—
869C4×C89—41no—
870C4×C89—41no—
871C4×C89—41no—
872C4×C89C2×H(5,𝔽2)11yescharacteristic
873C4×C89#58511yescharacteristic
874#61992C8911yesmaximal, characteristic, direct product factor, Sylow
875C2×C89—22no—
876C2×C89—41no—
877C2×C89—41no—
878C2×C89—81no—
879C2×C89—81no—
880C2×C89—81no—
881C2×C89—81no—
882C2×C89—81no—
883C2×C89#348811yescharacteristic
884C2×C89C2×#57511yescharacteristic
885C2×C89#358411yescharacteristic
886#3514C2×C8911yescharacteristic, complemented
887#3480C2×C8911yescharacteristic, complemented
888#3403C2×C8911yescharacteristic, complemented
889#3401C2×C8911yescharacteristic, complemented
890#3377C2×C8911yescharacteristic, complemented
891#3371C2×C8911yescharacteristic, complemented
892#3320C2×C8911yescharacteristic, complemented
893#3318C2×C8911yescharacteristic, complemented
894#3313C2×C8911yescharacteristic, complemented
895#3311C2×C8911yescharacteristic, complemented
896#3301C2×C8911yescharacteristic, complemented
897#3297C2×C8911yescharacteristic, complemented
898#3285C2×C8911yescharacteristic, complemented
899#3282C2×C8911yescharacteristic, complemented
900#3271C2×C8911yescharacteristic, complemented
901#3270C2×C8911yescharacteristic, complemented
902#3268C2×C8911yescharacteristic, complemented
903#3265C2×C8911yescharacteristic, complemented
904#3256C2×C8911yescharacteristic, complemented
905#3250C2×C8911yescharacteristic, complemented
906#3247C2×C8911yescharacteristic, complemented
907#3219C2×C8911yescharacteristic, complemented
908#3213C2×C8911yescharacteristic, complemented
909#3211C2×C8911yescharacteristic, complemented
910#3117C2×C8911yescharacteristic, complemented
911#3111C2×C8911yescharacteristic, complemented
912#3102C2×C8911yescharacteristic, complemented
913#3040C2×C8911yescharacteristic, complemented
914#3035C2×C8911yescharacteristic, complemented
915C2×#464C2×C8911yescharacteristic, complemented
916#2990C2×C8911yescharacteristic, complemented
917C89#6199211yescharacteristic, direct product factor, Sylow
918C2×#137C22×C8911yescharacteristic, complemented
919C2×AGL(1,ℤ/8)C22×C8911yescharacteristic
920C2×#135C22×C8911yescharacteristic, complemented
921C2×#135C22×C8911yescharacteristic, complemented
922C22×Q16C22×C8911yescharacteristic, complemented
923C22×SD16C22×C8911yescharacteristic
924#559—21no—
925#559C22×C8911yescharacteristic
926#559C22×C8911yescharacteristic, complemented
927#557C22×C8911yescharacteristic, complemented
928#556—21no—
929#556C22×C8911yescharacteristic
930#556C22×C8911yescharacteristic, complemented
931#555—21no—
932#553—21no—
933#553—21no—
934#553C22×C8911yescharacteristic
935#553C22×C8911yescharacteristic, complemented
936#551—21no—
937#551—21no—
938#550C22×C8911yescharacteristic, complemented
939D4×Q8C22×C8911yescharacteristic
940#548C22×C8911yescharacteristic
941#548C22×C8911yescharacteristic
942#548C22×C8911yescharacteristic
943#548C22×C8911yescharacteristic, complemented
944#546—21no—
945#546C22×C8911yescharacteristic
946#546C22×C8911yescharacteristic
947D42C22×C8911yescharacteristic
948#542—21no—
949#538—21no—
950#538—21no—
951#532—21no—
952#532C22×C8911yescharacteristic
953#532C22×C8911yescharacteristic, complemented
954#529—21no—
955#529—21no—
956#529C22×C8911yescharacteristic
957#529C22×C8911yescharacteristic
958#529C22×C8911yescharacteristic
959#529C22×C8911yescharacteristic, complemented
960#529C22×C8911yescharacteristic, complemented
961C2×#124C22×C8911yescharacteristic
962C2×#124C22×C8911yescharacteristic
963#518—21no—
964C4×#41—21no—
965C4×#41C22×C8911yescharacteristic
966C4×#41C22×C8911yescharacteristic, complemented
967C4×#41C22×C8911yescharacteristic, complemented
968C2×C4×Q8C22×C8911yescharacteristic, complemented
969#497C22×C8911yescharacteristic, complemented
970#496C22×C8911yescharacteristic
971#496C22×C8911yescharacteristic
972#496C22×C8911yescharacteristic, complemented
973#495C22×C8911yescharacteristic
974#495C22×C8911yescharacteristic, complemented
975#491C22×C8911yescharacteristic, complemented
976#490C22×C8911yescharacteristic
977#489C22×C8911yescharacteristic
978#489C22×C8911yescharacteristic, complemented
979#488C22×C8911yescharacteristic
980#488C22×C8911yescharacteristic, complemented
981#485C22×C8911yescharacteristic, complemented
982#485C22×C8911yescharacteristic, complemented
983#484C22×C8911yescharacteristic, complemented
984#482C22×C8911yescharacteristic
985#482C22×C8911yescharacteristic
986#481C22×C8911yescharacteristic
987#479C22×C8911yescharacteristic, complemented
988#479C22×C8911yescharacteristic, complemented
989#479C22×C8911yescharacteristic, complemented
990#479C22×C8911yescharacteristic, complemented
991#478C22×C8911yescharacteristic
992#478C22×C8911yescharacteristic, complemented
993#478C22×C8911yescharacteristic, complemented
994#478C22×C8911yescharacteristic, complemented
995#477C22×C8911yescharacteristic, complemented
996#476C22×C8911yescharacteristic, complemented
997#470C22×C8911yescharacteristic, complemented
998#469C22×C8911yescharacteristic
999#468C22×C8911yescharacteristic
1000#468C22×C8911yescharacteristic, complemented
1001#467C22×C8911yescharacteristic, complemented
1002#466C22×C8911yescharacteristic
1003#466C22×C8911yescharacteristic
1004#466C22×C8911yescharacteristic
1005#465C22×C8911yescharacteristic
1006#465C22×C8911yescharacteristic, complemented
1007#465C22×C8911yescharacteristic, complemented
1008#465C22×C8911yescharacteristic, complemented
1009#464C22×C8911yescharacteristic
1010#464C22×C8911yescharacteristic
1011#464C22×C8911yescharacteristic
1012#464C22×C8911yescharacteristic
1013#464C22×C8911yescharacteristic
1014#464C22×C8911yescharacteristic, complemented
1015#464C22×C8911yescharacteristic, complemented
1016#464C22×C8911yescharacteristic, complemented
1017#464C22×C8911yescharacteristic, complemented
1018#464C22×C8911yescharacteristic, complemented
1019#464C22×C8911yescharacteristic, complemented
1020#464C22×C8911yescharacteristic, complemented
1021#464C22×C8911yescharacteristic, complemented
1022#464C22×C8911yescharacteristic, complemented
1023#463C22×C8911yescharacteristic
1024#463C22×C8911yescharacteristic
1025#463C22×C8911yescharacteristic
1026#463C22×C8911yescharacteristic
1027#463C22×C8911yescharacteristic, complemented
1028#463C22×C8911yescharacteristic, complemented
1029#463C22×C8911yescharacteristic, complemented
1030#463C22×C8911yescharacteristic, complemented
1031#463C22×C8911yescharacteristic, complemented
1032#463C22×C8911yescharacteristic, complemented
1033#462C22×C8911yescharacteristic, complemented
1034#461C22×C8911yescharacteristic, complemented
1035#460C22×C8911yescharacteristic
1036#460C22×C8911yescharacteristic, complemented
1037#459C22×C8911yescharacteristic
1038#459C22×C8911yescharacteristic, complemented
1039#452C22×C8911yescharacteristic, complemented
1040#452C22×C8911yescharacteristic, complemented
1041#452C22×C8911yescharacteristic, complemented
1042#452C22×C8911yescharacteristic, complemented
1043#451C22×C8911yescharacteristic, complemented
1044#451C22×C8911yescharacteristic, complemented
1045#450C22×C8911yescharacteristic
1046#449C22×C8911yescharacteristic
1047#449C22×C8911yescharacteristic
1048#449C22×C8911yescharacteristic, complemented
1049#449C22×C8911yescharacteristic, complemented
1050#448C22×C8911yescharacteristic
1051#448C22×C8911yescharacteristic, complemented
1052#448C22×C8911yescharacteristic, complemented
1053#448C22×C8911yescharacteristic, complemented
1054#447C22×C8911yescharacteristic
1055#447C22×C8911yescharacteristic
1056#447C22×C8911yescharacteristic
1057#446C22×C8911yescharacteristic, complemented
1058#446C22×C8911yescharacteristic, complemented
1059#442C22×C8911yescharacteristic
1060#441C22×C8911yescharacteristic, complemented
1061#441C22×C8911yescharacteristic, complemented
1062#441C22×C8911yescharacteristic, complemented
1063#440C22×C8911yescharacteristic
1064#440C22×C8911yescharacteristic, complemented
1065#440C22×C8911yescharacteristic, complemented
1066#440C22×C8911yescharacteristic, complemented
1067C4×Q16C22×C8911yescharacteristic, complemented
1068C4×SD16C22×C8911yescharacteristic, complemented
1069C4×SD16C22×C8911yescharacteristic, complemented
1070C4×D8C22×C8911yescharacteristic, complemented
1071#435C22×C8911yescharacteristic
1072#435C22×C8911yescharacteristic
1073#435C22×C8911yescharacteristic, complemented
1074#435C22×C8911yescharacteristic, complemented
1075C8×D4C22×C8911yescharacteristic, complemented
1076C8×D4C22×C8911yescharacteristic, complemented
1077#432C22×C8911yescharacteristic, complemented
1078#432C22×C8911yescharacteristic, complemented
1079#431C22×C8911yescharacteristic, complemented
1080#423C22×C8911yescharacteristic, complemented
1081C2×C4⋊C8C22×C8911yescharacteristic, complemented
1082C2×C4⋊C8C22×C8911yescharacteristic, complemented
1083#419C22×C8911yescharacteristic, complemented
1084#418C22×C8911yescharacteristic
1085#416C22×C8911yescharacteristic, complemented
1086#416C22×C8911yescharacteristic, complemented
1087C2×#103C22×C8911yescharacteristic, complemented
1088C2×#102C22×C8911yescharacteristic
1089C2×#41—21no—
1090C2×#41D4×C8911yescharacteristic
1091C2×#41C23×C8911yescharacteristic
1092C2×#41C23×C8911yescharacteristic
1093C2×#41C23×C8911yescharacteristic
1094C2×#41C23×C8911yescharacteristic
1095C22×Q8C23×C8911yescharacteristic
1096C22×Q8C23×C8911yescharacteristic
1097C22×Q8C23×C8911yescharacteristic
1098C22×D4—21no—
1099C22×D4C23×C8911yescharacteristic
1100C22×D4C23×C8911yescharacteristic
1101#137—42no—
1102AGL(1,ℤ/8)—42no—
1103#135—42no—
1104#135—42no—
1105C2×Q16—42no—
1106C2×Q16C23×C8911yescharacteristic
1107C2×Q16C23×C8911yescharacteristic
1108C2×Q16C23×C8911yescharacteristic
1109C2×Q16C23×C8911yescharacteristic
1110C2×Q16C23×C8911yescharacteristic
1111C2×Q16C23×C8911yescharacteristic
1112C2×SD16—42no—
1113C2×SD16C23×C8911yescharacteristic
1114C2×SD16C23×C8911yescharacteristic
1115C2×SD16C23×C8911yescharacteristic
1116C2×SD16C23×C8911yescharacteristic
1117C2×SD16C23×C8911yescharacteristic
1118C2×SD16C23×C8911yescharacteristic
1119C2×SD16C23×C8911yescharacteristic
1120C2×SD16C23×C8911yescharacteristic
1121C2×SD16C23×C8911yescharacteristic
1122C2×SD16C23×C8911yescharacteristic
1123C2×SD16C23×C8911yescharacteristic
1124C2×SD16C23×C8911yescharacteristic
1125C2×D8C23×C8911yescharacteristic
1126C2×D8C23×C8911yescharacteristic
1127C2×D8C23×C8911yescharacteristic
1128C2×D8C23×C8911yescharacteristic
1129C2×D8C23×C8911yescharacteristic
1130C2×D8C23×C8911yescharacteristic
1131C2×M16C23×C8911yescharacteristic
1132C2×M16C23×C8911yescharacteristic
1133C22×C8C23×C8911yescharacteristic
1134C22×C8C23×C8911yescharacteristic
1135C22×C8C23×C8911yescharacteristic
1136C22×C8C23×C8911yescharacteristic
1137C4⋊Q8—21no—
1138C4⋊Q8—21no—
1139C4⋊Q8C23×C8911yescharacteristic
1140C4⋊Q8C23×C8911yescharacteristic
1141#127—21no—
1142#127C23×C8911yescharacteristic
1143#127C23×C8911yescharacteristic
1144#126—21no—
1145#126—21no—
1146#126—21no—
1147#126—21no—
1148#126—21no—
1149#126—21no—
1150#126—21no—
1151#126—21no—
1152#126—21no—
1153#126—21no—
1154#126—21no—
1155#125—21no—
1156#125—21no—
1157#125C23×C8911yescharacteristic
1158#125C23×C8911yescharacteristic
1159#125C23×C8911yescharacteristic
1160#124—21no—
1161#124—21no—
1162#124—21no—
1163#124—21no—
1164#124—21no—
1165#124—21no—
1166#124—21no—
1167#124—21no—
1168#124—21no—
1169#124—21no—
1170#124—21no—
1171#124—21no—
1172#124C23×C8911yescharacteristic
1173#124C23×C8911yescharacteristic
1174#124C23×C8911yescharacteristic
1175#124C23×C8911yescharacteristic
1176#124C23×C8911yescharacteristic
1177#124C23×C8911yescharacteristic
1178#124C23×C8911yescharacteristic
1179#124C23×C8911yescharacteristic
1180#124C23×C8911yescharacteristic
1181#123—21no—
1182#123—21no—
1183#123—21no—
1184#123—21no—
1185#123—21no—
1186#123—21no—
1187#123—21no—
1188#123—21no—
1189#123—21no—
1190#123—21no—
1191#123—21no—
1192#123—21no—
1193#123—21no—
1194C22⋊Q8—21no—
1195C22⋊Q8—21no—
1196C22⋊Q8—21no—
1197C22⋊Q8—21no—
1198C22⋊Q8—21no—
1199C22⋊Q8—21no—
1200C22⋊Q8—21no—
1201C22⋊Q8C23×C8911yescharacteristic
1202C22⋊Q8C23×C8911yescharacteristic
1203C22⋊Q8C23×C8911yescharacteristic
1204C22⋊Q8C23×C8911yescharacteristic
1205C22⋊Q8C23×C8911yescharacteristic
1206#121—21no—
1207#121—21no—
1208#121—21no—
1209#121—21no—
1210#121—21no—
1211#121—21no—
1212#121—21no—
1213#121—21no—
1214#121—21no—
1215#121—21no—
1216#121—21no—
1217#121—21no—
1218#121—21no—
1219#121—21no—
1220#121C23×C8911yescharacteristic
1221#121C23×C8911yescharacteristic
1222#121C23×C8911yescharacteristic
1223#121C23×C8911yescharacteristic
1224#121C23×C8911yescharacteristic
1225#121C23×C8911yescharacteristic
1226#121C23×C8911yescharacteristic
1227#120—21no—
1228#120—21no—
1229#120—21no—
1230#120—21no—
1231C4×Q8—21no—
1232C4×Q8—21no—
1233C4×Q8—21no—
1234C4×Q8—21no—
1235C4×Q8D4×C8911yescharacteristic
1236C4×Q8C23×C8911yescharacteristic
1237C4×Q8C23×C8911yescharacteristic
1238C4×Q8C23×C8911yescharacteristic
1239C4×Q8C23×C8911yescharacteristic
1240C4×Q8C23×C8911yescharacteristic
1241C4×Q8C23×C8911yescharacteristic
1242C4×Q8C23×C8911yescharacteristic
1243C4×Q8C23×C8911yescharacteristic
1244C4×Q8C23×C8911yescharacteristic
1245C4×Q8C23×C8911yescharacteristic
1246C4×D4—21no—
1247C4×D4—21no—
1248C4×D4—21no—
1249C4×D4—21no—
1250C4×D4—21no—
1251C4×D4—21no—
1252C4×D4—21no—
1253C4×D4—21no—
1254C4×D4—21no—
1255C4×D4—21no—
1256C4×D4—21no—
1257C4×D4—21no—
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×D4D4×C8911yescharacteristic
1269C4×D4D4×C8911yescharacteristic
1270C4×D4D4×C8911yescharacteristic
1271C4×D4C23×C8911yescharacteristic
1272C4×D4C23×C8911yescharacteristic
1273C4×D4C23×C8911yescharacteristic
1274C4×D4C23×C8911yescharacteristic
1275C4×D4C23×C8911yescharacteristic
1276C4×D4C23×C8911yescharacteristic
1277C4×D4C23×C8911yescharacteristic
1278C4×D4C23×C8911yescharacteristic
1279C4×D4C23×C8911yescharacteristic
1280C4×D4C23×C8911yescharacteristic
1281#117—21no—
1282#117—21no—
1283#117—21no—
1284#117—21no—
1285#117—21no—
1286#117—21no—
1287#117—21no—
1288#117—21no—
1289#117D4×C8911yescharacteristic
1290#117D4×C8911yescharacteristic
1291#117D4×C8911yescharacteristic
1292#117C23×C8911yescharacteristic
1293#117C23×C8911yescharacteristic
1294C2×C4⋊C4—21no—
1295C2×C4⋊C4C23×C8911yescharacteristic
1296C2×C22⋊C4—21no—
1297C2×C22⋊C4—21no—
1298C2×C22⋊C4—21no—
1299C2×C22⋊C4—21no—
1300C2×C22⋊C4—21no—
1301C2×C22⋊C4—21no—
1302C2×C42—21no—
1303C2×C42—21no—
1304C2×C42—21no—
1305C2×C42C23×C8911yescharacteristic
1306C2×C42C23×C8911yescharacteristic
1307C2×C42C23×C8911yescharacteristic
1308#107C23×C8911yescharacteristic
1309#107C23×C8911yescharacteristic
1310#107C23×C8911yescharacteristic
1311#107C23×C8911yescharacteristic
1312#106C23×C8911yescharacteristic
1313#106C23×C8911yescharacteristic
1314#106C23×C8911yescharacteristic
1315#106C23×C8911yescharacteristic
1316C4⋊C8C23×C8911yescharacteristic
1317C4⋊C8C23×C8911yescharacteristic
1318C4⋊C8C23×C8911yescharacteristic
1319C4⋊C8C23×C8911yescharacteristic
1320C4⋊C8C23×C8911yescharacteristic
1321C4⋊C8C23×C8911yescharacteristic
1322C4⋊C8C23×C8911yescharacteristic
1323C4⋊C8C23×C8911yescharacteristic
1324C4⋊C8C23×C8911yescharacteristic
1325C4⋊C8C23×C8911yescharacteristic
1326#103C23×C8911yescharacteristic
1327#103C23×C8911yescharacteristic
1328#103C23×C8911yescharacteristic
1329#103C23×C8911yescharacteristic
1330#103C23×C8911yescharacteristic
1331#103C23×C8911yescharacteristic
1332#103C23×C8911yescharacteristic
1333#103C23×C8911yescharacteristic
1334#103C23×C8911yescharacteristic
1335#103C23×C8911yescharacteristic
1336#103C23×C8911yescharacteristic
1337#103C23×C8911yescharacteristic
1338#103C23×C8911yescharacteristic
1339#103C23×C8911yescharacteristic
1340#103C23×C8911yescharacteristic
1341#103C23×C8911yescharacteristic
1342#102C23×C8911yescharacteristic
1343#102C23×C8911yescharacteristic
1344#102C23×C8911yescharacteristic
1345#102C23×C8911yescharacteristic
1346#102C23×C8911yescharacteristic
1347#102C23×C8911yescharacteristic
1348#102C23×C8911yescharacteristic
1349#102C23×C8911yescharacteristic
1350#102C23×C8911yescharacteristic
1351#102C23×C8911yescharacteristic
1352#102C23×C8911yescharacteristic
1353#102C23×C8911yescharacteristic
1354#102C23×C8911yescharacteristic
1355#102C23×C8911yescharacteristic
1356#102C23×C8911yescharacteristic
1357#102C23×C8911yescharacteristic
1358C22⋊C8C23×C8911yescharacteristic
1359C22⋊C8C23×C8911yescharacteristic
1360C22⋊C8C23×C8911yescharacteristic
1361C22⋊C8C23×C8911yescharacteristic
1362C22⋊C8C23×C8911yescharacteristic
1363C22⋊C8C23×C8911yescharacteristic
1364#97C23×C8911yescharacteristic
1365#97C23×C8911yescharacteristic
1366#97C23×C8911yescharacteristic
1367#97C23×C8911yescharacteristic
1368C4×C8C23×C8911yescharacteristic
1369C4×C8C23×C8911yescharacteristic
1370C24—21no—
1371C24—21no—
1372#41—22no—
1373#41—22no—
1374#41—42no—
1375#41—41no—
1376#41—41no—
1377#41—44no—
1378#41—41no—
1379#41—41no—
1380#41—41no—
1381#41—41no—
1382C2×Q8—21no—
1383C2×Q8—21no—
1384C2×Q8—21no—
1385C2×Q8—21no—
1386C2×Q8—22no—
1387C2×Q8—41no—
1388C2×Q8—41no—
1389C2×Q8—41no—
1390C2×Q8—41no—
1391C2×Q8—41no—
1392C2×Q8C2×D4×C8911yescharacteristic
1393C2×Q8C24×C8911yescharacteristic
1394C2×Q8C24×C8911yescharacteristic
1395C2×Q8C24×C8911yescharacteristic
1396C2×Q8C24×C8911yescharacteristic
1397C2×Q8C24×C8911yescharacteristic
1398C2×D4—21no—
1399C2×D4—21no—
1400C2×D4—21no—
1401C2×D4—21no—
1402C2×D4—21no—
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—21no—
1409C2×D4—21no—
1410C2×D4—21no—
1411C2×D4—21no—
1412C2×D4—21no—
1413C2×D4—21no—
1414C2×D4—21no—
1415C2×D4—41no—
1416C2×D4—41no—
1417C2×D4—41no—
1418C2×D4—41no—
1419C2×D4—44no—
1420C2×D4C2×D4×C8911yescharacteristic
1421C2×D4C2×D4×C8911yescharacteristic
1422C2×D4C2×D4×C8911yescharacteristic
1423C2×D4C24×C8911yescharacteristic
1424C2×D4C24×C8911yescharacteristic
1425C2×D4C24×C8911yescharacteristic
1426C2×D4C24×C8911yescharacteristic
1427C2×D4C24×C8911yescharacteristic
1428C22×C4—21no—
1429C22×C4—21no—
1430C22×C4—21no—
1431C22×C4—21no—
1432C22×C4—21no—
1433C22×C4—21no—
1434C22×C4—21no—
1435C22×C4—21no—
1436C22×C4—21no—
1437C22×C4—21no—
1438C22×C4—21no—
1439C22×C4—21no—
1440C22×C4—21no—
1441C22×C4—21no—
1442C22×C4—21no—
1443C22×C4C2×D4×C8911yescharacteristic
1444C22×C4C2×D4×C8911yescharacteristic
1445C22×C4C2×D4×C8911yescharacteristic
1446C22×C4C2×D4×C8911yescharacteristic
1447C22×C4C2×D4×C8911yescharacteristic
1448C22×C4C2×D4×C8911yescharacteristic
1449C22×C4C24×C8911yescharacteristic
1450C22×C4C24×C8911yescharacteristic
1451C22×C4C24×C8911yescharacteristic
1452Q16—22no—
1453Q16—22no—
1454Q16—22no—
1455Q16—41no—
1456Q16—41no—
1457Q16—41no—
1458SD16—22no—
1459SD16—22no—
1460SD16—22no—
1461SD16—41no—
1462SD16—41no—
1463SD16—41no—
1464SD16—41no—
1465SD16—41no—
1466SD16—41no—
1467SD16—41no—
1468SD16—41no—
1469SD16—41no—
1470D8—41no—
1471D8—41no—
1472D8—41no—
1473D8—41no—
1474D8—41no—
1475D8—41no—
1476M16—41no—
1477M16—41no—
1478C2×C8—41no—
1479C2×C8—41no—
1480C2×C8—41no—
1481C2×C8—41no—
1482C2×C8C24×C8911yescharacteristic
1483C2×C8C24×C8911yescharacteristic
1484C2×C8C24×C8911yescharacteristic
1485C2×C8C24×C8911yescharacteristic
1486C2×C8C24×C8911yescharacteristic
1487C2×C8C24×C8911yescharacteristic
1488C2×C8C24×C8911yescharacteristic
1489C2×C8C24×C8911yescharacteristic
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—21no—
1493C4⋊C4—21no—
1494C4⋊C4—21no—
1495C4⋊C4—21no—
1496C4⋊C4—21no—
1497C4⋊C4—21no—
1498C4⋊C4—21no—
1499C4⋊C4—21no—
1500C4⋊C4—21no—
1501C4⋊C4—21no—
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—21no—
1508C4⋊C4—21no—
1509C4⋊C4—21no—
1510C4⋊C4—21no—
1511C4⋊C4—21no—
1512C4⋊C4—21no—
1513C4⋊C4—21no—
1514C4⋊C4C2×D4×C8911yescharacteristic
1515C4⋊C4C2×D4×C8911yescharacteristic
1516C4⋊C4C2×D4×C8911yescharacteristic
1517C4⋊C4C2×D4×C8911yescharacteristic
1518C4⋊C4C2×D4×C8911yescharacteristic
1519C4⋊C4C2×D4×C8911yescharacteristic
1520C4⋊C4C24×C8911yescharacteristic
1521C4⋊C4C24×C8911yescharacteristic
1522C4⋊C4C24×C8911yescharacteristic
1523C4⋊C4C24×C8911yescharacteristic
1524C4⋊C4C24×C8911yescharacteristic
1525C4⋊C4C24×C8911yescharacteristic
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—21no—
1535C22⋊C4—21no—
1536C22⋊C4—21no—
1537C22⋊C4—21no—
1538C22⋊C4—21no—
1539C22⋊C4—21no—
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
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⋊C4C2×D4×C8911yescharacteristic
1566C22⋊C4C2×D4×C8911yescharacteristic
1567C22⋊C4C2×D4×C8911yescharacteristic
1568C22⋊C4C2×D4×C8911yescharacteristic
1569C22⋊C4C2×D4×C8911yescharacteristic
1570C22⋊C4C2×D4×C8911yescharacteristic
1571C42—21no—
1572C42—21no—
1573C42—21no—
1574C42—21no—
1575C42—21no—
1576C42—21no—
1577C42—21no—
1578C42—21no—
1579C42—21no—
1580C42—21no—
1581C42—21no—
1582C42C2×D4×C8911yescharacteristic
1583C42C2×D4×C8911yescharacteristic
1584C42C2×D4×C8911yescharacteristic
1585C42C2×D4×C8911yescharacteristic
1586C42C2×D4×C8911yescharacteristic
1587C42C2×D4×C8911yescharacteristic
1588C42C24×C8911yescharacteristic
1589C42C24×C8911yescharacteristic
1590C42C24×C8911yescharacteristic
1591C42C24×C8911yescharacteristic
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—42no—
1598C23—42no—
1599C23—81no—
1600C23—81no—
1601C23—81no—
1602C23—81no—
1603C23C22×D4×C8911yescharacteristic
1604C23C22×D4×C8911yescharacteristic
1605C23C22×D4×C8911yescharacteristic
1606Q8—21no—
1607Q8—21no—
1608Q8—21no—
1609Q8—21no—
1610Q8—21no—
1611Q8—21no—
1612Q8—21no—
1613Q8—21no—
1614Q8—21no—
1615Q8—41no—
1616Q8—42no—
1617Q8—42no—
1618Q8—81no—
1619Q8—81no—
1620Q8H(5,𝔽2)×C8912yes—
1621D4—22no—
1622D4—22no—
1623D4—21no—
1624D4—21no—
1625D4—21no—
1626D4—21no—
1627D4—21no—
1628D4—21no—
1629D4—21no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—41no—
1634D4—42no—
1635D4—42no—
1636D4—42no—
1637D4—42no—
1638D4—42no—
1639D4—42no—
1640D4—42no—
1641D4—42no—
1642D4—81no—
1643D4—81no—
1644D4—81no—
1645D4—81no—
1646D4—81no—
1647D4—81no—
1648D4—81no—
1649D4—81no—
1650D4—81no—
1651C2×C4—22no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—41no—
1670C2×C4—41no—
1671C2×C4—41no—
1672C2×C4—41no—
1673C2×C4—41no—
1674C2×C4—42no—
1675C2×C4—42no—
1676C2×C4—42no—
1677C2×C4—42no—
1678C2×C4—42no—
1679C2×C4—42no—
1680C2×C4—81no—
1681C2×C4—81no—
1682C2×C4—81no—
1683C2×C4—81no—
1684C2×C4—81no—
1685C2×C4—81no—
1686C2×C4—81no—
1687C2×C4—81no—
1688C2×C4—81no—
1689C2×C4C22×D4×C8911yescharacteristic
1690C2×C4C22×D4×C8911yescharacteristic
1691C2×C4C22×D4×C8911yescharacteristic
1692C2×C4C22×D4×C8911yescharacteristic
1693C2×C4C22×D4×C8911yescharacteristic
1694C2×C4C22×D4×C8911yescharacteristic
1695C2×C4C22×D4×C8911yescharacteristic
1696C2×C4C22×D4×C8911yescharacteristic
1697C2×C4C22×D4×C8911yescharacteristic
1698C2×C4C22×D4×C8911yescharacteristic
1699C2×C4C22×D4×C8911yescharacteristic
1700C2×C4C25×C8911yescharacteristic
1701C8—21no—
1702C8—21no—
1703C8—21no—
1704C8—21no—
1705C8—21no—
1706C8—21no—
1707C8—21no—
1708C8—21no—
1709C22—21no—
1710C22—21no—
1711C22—21no—
1712C22—21no—
1713C22—21no—
1714C22—21no—
1715C22—21no—
1716C22—21no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—162no—
1733C22—162no—
1734C22#575×C8912yes—
1735C22C23×D4×C8911yescharacteristic
1736C4—21no—
1737C4—21no—
1738C4—21no—
1739C4—21no—
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—21no—
1744C4—21no—
1745C4—21no—
1746C4—21no—
1747C4—22no—
1748C4—41no—
1749C4—41no—
1750C4—41no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C4—41no—
1755C4—41no—
1756C4—41no—
1757C4—41no—
1758C4C2×H(5,𝔽2)×C8911yescharacteristic
1759C4#585×C8911yescharacteristic
1760C2—22no—
1761C2—41no—
1762C2—41no—
1763C2—81no—
1764C2—81no—
1765C2—81no—
1766C2—81no—
1767C2—81no—
1768C2C89×#348811yescharacteristic
1769C2C2×#575×C8911yescharacteristic
1770C2C89×#358411yescharacteristic
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×#3480C2semidirect
3. C89×#3403C2semidirect
4. C89×#3401C2semidirect
5. C89×#3377C2semidirect
6. C89×#3371C2semidirect
7. C89×#3320C2semidirect
8. C89×#3318C2semidirect
9. C89×#3313C2semidirect
10. C89×#3311C2semidirect
11. C89×#3301C2semidirect
12. C89×#3297C2semidirect
13. C89×#3285C2semidirect
14. C89×#3282C2semidirect
15. C89×#3271C2semidirect
16. C89×#3270C2semidirect
17. C89×#3268C2semidirect
18. C89×#3265C2semidirect
19. C89×#3256C2semidirect
20. C89×#3250C2semidirect
21. C89×#3247C2semidirect
22. C89×#3219C2semidirect
23. C89×#3213C2semidirect
24. C89×#3211C2semidirect
25. C89×#3117C2semidirect
26. C89×#3111C2semidirect
27. C89×#3102C2semidirect
28. C89×#3040C2semidirect
29. C89×#3035C2semidirect
30. C2×#464×C89C2semidirect
31. C89×#2990C2semidirect
32. C2×#137×C89C22semidirect
34. C2×#135×C89C22semidirect
35. C2×#135×C89C22semidirect
36. C22×Q16×C89C22semidirect
40. #559×C89C22semidirect
41. #557×C89C22semidirect
44. #556×C89C22semidirect
49. #553×C89C22semidirect
52. #550×C89C22semidirect
57. #548×C89C22semidirect
67. #532×C89C22semidirect
73. #529×C89C22semidirect
74. #529×C89C22semidirect
80. C4×#41×C89C22semidirect
81. C4×#41×C89C22semidirect
82. C2×C4×Q8×C89C22semidirect
83. #497×C89C22semidirect
86. #496×C89C22semidirect
88. #495×C89C22semidirect
89. #491×C89C22semidirect
92. #489×C89C22semidirect
94. #488×C89C22semidirect
95. #485×C89C22semidirect
96. #485×C89C22semidirect
97. #484×C89C22semidirect
101. #479×C89C22semidirect
102. #479×C89C22semidirect
103. #479×C89C22semidirect
104. #479×C89C22semidirect
106. #478×C89C22semidirect
107. #478×C89C22semidirect
108. #478×C89C22semidirect
109. #477×C89C22semidirect
110. #476×C89C22semidirect
111. #470×C89C22semidirect
114. #468×C89C22semidirect
115. #467×C89C22semidirect
120. #465×C89C22semidirect
121. #465×C89C22semidirect
122. #465×C89C22semidirect
128. #464×C89C22semidirect
129. #464×C89C22semidirect
130. #464×C89C22semidirect
131. #464×C89C22semidirect
132. #464×C89C22semidirect
133. #464×C89C22semidirect
134. #464×C89C22semidirect
135. #464×C89C22semidirect
136. #464×C89C22semidirect
141. #463×C89C22semidirect
142. #463×C89C22semidirect
143. #463×C89C22semidirect
144. #463×C89C22semidirect
145. #463×C89C22semidirect
146. #463×C89C22semidirect
147. #462×C89C22semidirect
148. #461×C89C22semidirect
150. #460×C89C22semidirect
152. #459×C89C22semidirect
153. #452×C89C22semidirect
154. #452×C89C22semidirect
155. #452×C89C22semidirect
156. #452×C89C22semidirect
157. #451×C89C22semidirect
158. #451×C89C22semidirect
162. #449×C89C22semidirect
163. #449×C89C22semidirect
165. #448×C89C22semidirect
166. #448×C89C22semidirect
167. #448×C89C22semidirect
171. #446×C89C22semidirect
172. #446×C89C22semidirect
174. #441×C89C22semidirect
175. #441×C89C22semidirect
176. #441×C89C22semidirect
178. #440×C89C22semidirect
179. #440×C89C22semidirect
180. #440×C89C22semidirect
181. C4×Q16×C89C22semidirect
182. C4×SD16×C89C22semidirect
183. C4×SD16×C89C22semidirect
184. C4×D8×C89C22semidirect
187. #435×C89C22semidirect
188. #435×C89C22semidirect
189. C8×D4×C89C22semidirect
190. C8×D4×C89C22semidirect
191. #432×C89C22semidirect
192. #432×C89C22semidirect
193. #431×C89C22semidirect
194. #423×C89C22semidirect
195. C2×C4⋊C8×C89C22semidirect
196. C2×C4⋊C8×C89C22semidirect
197. #419×C89C22semidirect
199. #416×C89C22semidirect
200. #416×C89C22semidirect
201. C2×#103×C89C22semidirect
874. #61992C89direct (N × H)
886. #3514C2×C89semidirect
887. #3480C2×C89semidirect
888. #3403C2×C89semidirect
889. #3401C2×C89semidirect
890. #3377C2×C89semidirect
891. #3371C2×C89semidirect
892. #3320C2×C89semidirect
893. #3318C2×C89semidirect
894. #3313C2×C89semidirect
895. #3311C2×C89semidirect
896. #3301C2×C89semidirect
897. #3297C2×C89semidirect
898. #3285C2×C89semidirect
899. #3282C2×C89semidirect
900. #3271C2×C89semidirect
901. #3270C2×C89semidirect
902. #3268C2×C89semidirect
903. #3265C2×C89semidirect
904. #3256C2×C89semidirect
905. #3250C2×C89semidirect
906. #3247C2×C89semidirect
907. #3219C2×C89semidirect
908. #3213C2×C89semidirect
909. #3211C2×C89semidirect
910. #3117C2×C89semidirect
911. #3111C2×C89semidirect
912. #3102C2×C89semidirect
913. #3040C2×C89semidirect
914. #3035C2×C89semidirect
915. C2×#464C2×C89semidirect
916. #2990C2×C89semidirect
917. C89#61992direct (N × H)
918. C2×#137C22×C89semidirect
920. C2×#135C22×C89semidirect
921. C2×#135C22×C89semidirect
922. C22×Q16C22×C89semidirect
926. #559C22×C89semidirect
927. #557C22×C89semidirect
930. #556C22×C89semidirect
935. #553C22×C89semidirect
938. #550C22×C89semidirect
943. #548C22×C89semidirect
953. #532C22×C89semidirect
959. #529C22×C89semidirect
960. #529C22×C89semidirect
966. C4×#41C22×C89semidirect
967. C4×#41C22×C89semidirect
968. C2×C4×Q8C22×C89semidirect
969. #497C22×C89semidirect
972. #496C22×C89semidirect
974. #495C22×C89semidirect
975. #491C22×C89semidirect
978. #489C22×C89semidirect
980. #488C22×C89semidirect
981. #485C22×C89semidirect
982. #485C22×C89semidirect
983. #484C22×C89semidirect
987. #479C22×C89semidirect
988. #479C22×C89semidirect
989. #479C22×C89semidirect
990. #479C22×C89semidirect
992. #478C22×C89semidirect
993. #478C22×C89semidirect
994. #478C22×C89semidirect
995. #477C22×C89semidirect
996. #476C22×C89semidirect
997. #470C22×C89semidirect
1000. #468C22×C89semidirect
1001. #467C22×C89semidirect
1006. #465C22×C89semidirect
1007. #465C22×C89semidirect
1008. #465C22×C89semidirect
1014. #464C22×C89semidirect
1015. #464C22×C89semidirect
1016. #464C22×C89semidirect
1017. #464C22×C89semidirect
1018. #464C22×C89semidirect
1019. #464C22×C89semidirect
1020. #464C22×C89semidirect
1021. #464C22×C89semidirect
1022. #464C22×C89semidirect
1027. #463C22×C89semidirect
1028. #463C22×C89semidirect
1029. #463C22×C89semidirect
1030. #463C22×C89semidirect
1031. #463C22×C89semidirect
1032. #463C22×C89semidirect
1033. #462C22×C89semidirect
1034. #461C22×C89semidirect
1036. #460C22×C89semidirect
1038. #459C22×C89semidirect
1039. #452C22×C89semidirect
1040. #452C22×C89semidirect
1041. #452C22×C89semidirect
1042. #452C22×C89semidirect
1043. #451C22×C89semidirect
1044. #451C22×C89semidirect
1048. #449C22×C89semidirect
1049. #449C22×C89semidirect
1051. #448C22×C89semidirect
1052. #448C22×C89semidirect
1053. #448C22×C89semidirect
1057. #446C22×C89semidirect
1058. #446C22×C89semidirect
1060. #441C22×C89semidirect
1061. #441C22×C89semidirect
1062. #441C22×C89semidirect
1064. #440C22×C89semidirect
1065. #440C22×C89semidirect
1066. #440C22×C89semidirect
1067. C4×Q16C22×C89semidirect
1068. C4×SD16C22×C89semidirect
1069. C4×SD16C22×C89semidirect
1070. C4×D8C22×C89semidirect
1073. #435C22×C89semidirect
1074. #435C22×C89semidirect
1075. C8×D4C22×C89semidirect
1076. C8×D4C22×C89semidirect
1077. #432C22×C89semidirect
1078. #432C22×C89semidirect
1079. #431C22×C89semidirect
1080. #423C22×C89semidirect
1081. C2×C4⋊C8C22×C89semidirect
1082. C2×C4⋊C8C22×C89semidirect
1083. #419C22×C89semidirect
1085. #416C22×C89semidirect
1086. #416C22×C89semidirect
1087. C2×#103C22×C89semidirect

Maximal subgroups

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

subgroupindex
C89×#35142
C89×#34802
C89×#34032
C89×#34012
C89×#33772
C89×#33712
C89×#33202
C89×#33182
C89×#33132
C89×#33112
C89×#33012
C89×#32972
C89×#32852
C89×#32822
C89×#32712
C89×#32702
C89×#32682
C89×#32652
C89×#32562
C89×#32502
C89×#32472
C89×#32192
C89×#32132
C89×#32112
C89×#31172
C89×#31112
C89×#31022
C89×#30402
C89×#30352
C2×#464×C892
C89×#29902
#6199289