Finite Group Databasebeta

← C89×#62012 #36439860

Subgroups — C89×#62012 #36439860

Order 22784.

1792 conjugacy classes of subgroups.

The subgroup lattice has 1740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C89×#3562C211yesmaximal, characteristic, complemented
2C89×#3515C211yesmaximal, characteristic, complemented
3C89×#3400C211yesmaximal, characteristic, complemented
4C89×#3398C211yesmaximal, characteristic, complemented
5C89×#3376C211yesmaximal, characteristic, complemented
6C89×#3370C211yesmaximal, characteristic, complemented
7C89×#3317C211yesmaximal, characteristic, complemented
8C89×#3316C211yesmaximal, characteristic, complemented
9C89×#3315C211yesmaximal, characteristic, complemented
10C89×#3314C211yesmaximal, characteristic, complemented
11C89×#3300C211yesmaximal, characteristic, complemented
12C89×#3296C211yesmaximal, characteristic, complemented
13C89×#3284C211yesmaximal, characteristic, complemented
14C89×#3283C211yesmaximal, characteristic, complemented
15C89×#3269C211yesmaximal, characteristic, complemented
16C89×#3269C211yesmaximal, characteristic, complemented
17C89×#3267C211yesmaximal, characteristic, complemented
18C89×#3267C211yesmaximal, characteristic, complemented
19C89×#3261C211yesmaximal, characteristic, complemented
20C89×#3260C211yesmaximal, characteristic, complemented
21C89×#3248C211yesmaximal, characteristic, complemented
22C89×#3223C211yesmaximal, characteristic, complemented
23C89×#3222C211yesmaximal, characteristic, complemented
24C89×#3216C211yesmaximal, characteristic, complemented
25C89×#3120C211yesmaximal, characteristic, complemented
26C89×#3119C211yesmaximal, characteristic, complemented
27C89×#3111C211yesmaximal, characteristic, complemented
28C89×#3046C211yesmaximal, characteristic, complemented
29C89×#3045C211yesmaximal, characteristic, complemented
30C89×#3035C211yesmaximal, characteristic, complemented
31C89×#2992C211yesmaximal, characteristic, complemented
32C2×#137×C89C2211yescharacteristic, complemented
33C2×AGL(1,ℤ/8)×C89C2211yescharacteristic
34C2×#135×C89C2211yescharacteristic
35C2×#135×C89C2211yescharacteristic
36C2×#135×C89C2211yescharacteristic
37C2×#135×C89C2211yescharacteristic, complemented
38#562×C89—21no—
39#560×C89—21no—
40#559×C89C2211yescharacteristic
41#557×C89C2211yescharacteristic, complemented
42#556×C89C2211yescharacteristic
43#554×C89C2211yescharacteristic
44#554×C89C2211yescharacteristic, complemented
45#553×C89—21no—
46#553×C89—21no—
47#552×C89—21no—
48#552×C89—21no—
49#552×C89—21no—
50#552×C89C2211yescharacteristic
51#552×C89C2211yescharacteristic, complemented
52#551×C89—21no—
53#550×C89C2211yescharacteristic
54#548×C89C2211yescharacteristic
55#548×C89C2211yescharacteristic
56#547×C89C2211yescharacteristic
57#547×C89C2211yescharacteristic
58#547×C89C2211yescharacteristic
59#547×C89C2211yescharacteristic, complemented
60#546×C89C2211yescharacteristic
61#546×C89C2211yescharacteristic
62#541×C89C2211yescharacteristic
63#541×C89C2211yescharacteristic
64#541×C89C2211yescharacteristic, complemented
65#540×C89—21no—
66#540×C89C2211yescharacteristic
67#539×C89—21no—
68#539×C89—21no—
69#539×C89—21no—
70#538×C89—21no—
71#538×C89—21no—
72#536×C89C2211yescharacteristic
73#535×C89C2211yescharacteristic
74#533×C89C2211yescharacteristic, complemented
75#532×C89C2211yescharacteristic
76#529×C89—21no—
77#529×C89C2211yescharacteristic
78#529×C89C2211yescharacteristic
79C2×#125×C89—21no—
80#520×C89C2211yescharacteristic
81#520×C89C2211yescharacteristic, complemented
82C4×#41×C89C2211yescharacteristic, complemented
83#497×C89C2211yescharacteristic
84#497×C89C2211yescharacteristic
85#497×C89C2211yescharacteristic
86#497×C89C2211yescharacteristic, complemented
87#494×C89C2211yescharacteristic, complemented
88#492×C89C2211yescharacteristic
89#491×C89C2211yescharacteristic, complemented
90#490×C89C2211yescharacteristic
91#489×C89C2211yescharacteristic
92#489×C89C2211yescharacteristic, complemented
93#488×C89C2211yescharacteristic
94#488×C89C2211yescharacteristic
95#485×C89C2211yescharacteristic, complemented
96#484×C89C2211yescharacteristic
97#483×C89C2211yescharacteristic
98#482×C89C2211yescharacteristic
99#481×C89C2211yescharacteristic, complemented
100#480×C89C2211yescharacteristic
101#479×C89C2211yescharacteristic, complemented
102#479×C89C2211yescharacteristic, complemented
103#479×C89C2211yescharacteristic, complemented
104#479×C89C2211yescharacteristic, complemented
105#479×C89C2211yescharacteristic, complemented
106#478×C89C2211yescharacteristic
107#478×C89C2211yescharacteristic, complemented
108#478×C89C2211yescharacteristic, complemented
109#475×C89C2211yescharacteristic, complemented
110#474×C89C2211yescharacteristic
111#470×C89C2211yescharacteristic
112#470×C89C2211yescharacteristic
113#468×C89C2211yescharacteristic
114#468×C89C2211yescharacteristic, complemented
115#467×C89C2211yescharacteristic
116#467×C89C2211yescharacteristic
117#467×C89C2211yescharacteristic, complemented
118#467×C89C2211yescharacteristic, complemented
119#465×C89C2211yescharacteristic
120#465×C89C2211yescharacteristic
121#465×C89C2211yescharacteristic
122#465×C89C2211yescharacteristic, complemented
123#464×C89C2211yescharacteristic
124#464×C89C2211yescharacteristic
125#464×C89C2211yescharacteristic
126#464×C89C2211yescharacteristic
127#464×C89C2211yescharacteristic
128#464×C89C2211yescharacteristic
129#464×C89C2211yescharacteristic, complemented
130#463×C89C2211yescharacteristic
131#463×C89C2211yescharacteristic
132#463×C89C2211yescharacteristic
133#463×C89C2211yescharacteristic
134#463×C89C2211yescharacteristic, complemented
135#462×C89C2211yescharacteristic, complemented
136#462×C89C2211yescharacteristic, complemented
137#462×C89C2211yescharacteristic, complemented
138#462×C89C2211yescharacteristic, complemented
139#462×C89C2211yescharacteristic, complemented
140#462×C89C2211yescharacteristic, complemented
141#462×C89C2211yescharacteristic, complemented
142#461×C89C2211yescharacteristic
143#461×C89C2211yescharacteristic
144#461×C89C2211yescharacteristic, complemented
145#461×C89C2211yescharacteristic, complemented
146#461×C89C2211yescharacteristic, complemented
147#460×C89C2211yescharacteristic
148#460×C89C2211yescharacteristic
149#460×C89C2211yescharacteristic
150#460×C89C2211yescharacteristic
151#459×C89C2211yescharacteristic
152#459×C89C2211yescharacteristic
153#452×C89C2211yescharacteristic
154#452×C89C2211yescharacteristic
155#452×C89C2211yescharacteristic
156#452×C89C2211yescharacteristic
157#452×C89C2211yescharacteristic
158#452×C89C2211yescharacteristic
159#452×C89C2211yescharacteristic
160#452×C89C2211yescharacteristic
161#452×C89C2211yescharacteristic, complemented
162#452×C89C2211yescharacteristic, complemented
163#452×C89C2211yescharacteristic, complemented
164#451×C89C2211yescharacteristic, complemented
165#451×C89C2211yescharacteristic, complemented
166#450×C89C2211yescharacteristic
167#450×C89C2211yescharacteristic
168#449×C89C2211yescharacteristic
169#449×C89C2211yescharacteristic
170#449×C89C2211yescharacteristic, complemented
171#446×C89C2211yescharacteristic, complemented
172#446×C89C2211yescharacteristic, complemented
173#442×C89C2211yescharacteristic
174#442×C89C2211yescharacteristic
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
183C4×SD16×C89C2211yescharacteristic, complemented
184C4×D8×C89C2211yescharacteristic, complemented
185#435×C89C2211yescharacteristic
186#435×C89C2211yescharacteristic
187#435×C89C2211yescharacteristic
188#435×C89C2211yescharacteristic, complemented
189C8×D4×C89C2211yescharacteristic
190C8×D4×C89C2211yescharacteristic, complemented
191#433×C89C2211yescharacteristic
192#433×C89C2211yescharacteristic, complemented
193#432×C89C2211yescharacteristic, complemented
194#424×C89C2211yescharacteristic
195#424×C89C2211yescharacteristic, complemented
196C2×C4⋊C8×C89C2211yescharacteristic, complemented
197#417×C89C2211yescharacteristic
198#417×C89C2211yescharacteristic
199#416×C89C2211yescharacteristic
200#416×C89C2211yescharacteristic, complemented
201C2×#103×C89C2211yescharacteristic, complemented
202C2×#102×C89C2211yescharacteristic
203C2×#41×C89C2311yescharacteristic
204C2×#41×C89C2311yescharacteristic
205C2×#41×C89C2311yescharacteristic
206C2×#41×C89C2311yescharacteristic
207C2×#41×C89C2311yescharacteristic
208C2×#41×C89C2311yescharacteristic
209C2×#41×C89C2311yescharacteristic
210C22×Q8×C89C2311yescharacteristic
211C22×D4×C89C2311yescharacteristic
212#137×C89—42no—
213AGL(1,ℤ/8)×C89—42no—
214#135×C89—42no—
215#135×C89—42no—
216#135×C89—42no—
217#135×C89—42no—
218C2×Q16×C89C2311yescharacteristic
219C2×Q16×C89C2311yescharacteristic
220C2×Q16×C89C2311yescharacteristic
221C2×Q16×C89C2311yescharacteristic
222C2×Q16×C89C2311yescharacteristic
223C2×Q16×C89C2311yescharacteristic
224C2×Q16×C89C2311yescharacteristic
225C2×Q16×C89C2311yescharacteristic
226C2×Q16×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×SD16×C89C2311yescharacteristic
239C2×D8×C89C2311yescharacteristic
240C2×D8×C89C2311yescharacteristic
241C2×D8×C89C2311yescharacteristic
242C2×M16×C89C2311yescharacteristic
243C2×M16×C89C2311yescharacteristic
244C22×C8×C89C2311yescharacteristic
245C22×C8×C89C2311yescharacteristic
246C22×C8×C89C2311yescharacteristic
247C22×C8×C89C2311yescharacteristic
248C4⋊Q8×C89C2311yescharacteristic
249C4⋊Q8×C89C2311yescharacteristic
250C4⋊Q8×C89C2311yescharacteristic
251C4⋊Q8×C89C2311yescharacteristic
252C4⋊Q8×C89C2311yescharacteristic
253C4⋊Q8×C89C2311yescharacteristic
254#127×C89—21no—
255#127×C89C2311yescharacteristic
256#127×C89C2311yescharacteristic
257#126×C89—21no—
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×C89D411yescharacteristic
269#126×C89D411yescharacteristic
270#125×C89—21no—
271#125×C89—21no—
272#125×C89—21no—
273#125×C89—21no—
274#125×C89—21no—
275#125×C89—21no—
276#125×C89—21no—
277#125×C89—21no—
278#125×C89—21no—
279#125×C89—21no—
280#125×C89—21no—
281#125×C89—21no—
282#125×C89—21no—
283#125×C89D411yescharacteristic
284#125×C89C2311yescharacteristic
285#125×C89C2311yescharacteristic
286#125×C89C2311yescharacteristic
287#124×C89—21no—
288#124×C89—21no—
289#124×C89—21no—
290#124×C89D411yescharacteristic
291#124×C89C2311yescharacteristic
292#124×C89C2311yescharacteristic
293#124×C89C2311yescharacteristic
294#124×C89C2311yescharacteristic
295#124×C89C2311yescharacteristic
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—
308#123×C89—21no—
309#123×C89—21no—
310#123×C89—21no—
311#123×C89—21no—
312#123×C89—21no—
313#123×C89—21no—
314#123×C89—21no—
315#123×C89D411yescharacteristic
316#123×C89D411yescharacteristic
317C22⋊Q8×C89—21no—
318C22⋊Q8×C89—21no—
319C22⋊Q8×C89—21no—
320C22⋊Q8×C89—21no—
321C22⋊Q8×C89—21no—
322C22⋊Q8×C89—21no—
323C22⋊Q8×C89—21no—
324C22⋊Q8×C89—21no—
325C22⋊Q8×C89—21no—
326C22⋊Q8×C89—21no—
327C22⋊Q8×C89—21no—
328C22⋊Q8×C89D411yescharacteristic
329C22⋊Q8×C89C2311yescharacteristic
330C22⋊Q8×C89C2311yescharacteristic
331C22⋊Q8×C89C2311yescharacteristic
332C22⋊Q8×C89C2311yescharacteristic
333C22⋊Q8×C89C2311yescharacteristic
334C22⋊Q8×C89C2311yescharacteristic
335C22⋊Q8×C89C2311yescharacteristic
336C22⋊Q8×C89C2311yescharacteristic
337C22⋊Q8×C89C2311yescharacteristic
338#121×C89—21no—
339#121×C89—21no—
340#121×C89—21no—
341#121×C89—21no—
342#121×C89—21no—
343#121×C89—21no—
344#121×C89—21no—
345#121×C89—21no—
346#121×C89—21no—
347#121×C89—21no—
348#121×C89—21no—
349#121×C89—21no—
350#121×C89—21no—
351#121×C89—21no—
352#121×C89—21no—
353#121×C89—21no—
354#121×C89D411yescharacteristic
355#121×C89C2311yescharacteristic
356#121×C89C2311yescharacteristic
357#121×C89C2311yescharacteristic
358#120×C89—21no—
359#120×C89—21no—
360#120×C89—21no—
361#120×C89—21no—
362C4×Q8×C89—21no—
363C4×Q8×C89—21no—
364C4×Q8×C89C2311yescharacteristic
365C4×Q8×C89C2311yescharacteristic
366C4×Q8×C89C2311yescharacteristic
367C4×Q8×C89C2311yescharacteristic
368C4×Q8×C89C2311yescharacteristic
369C4×Q8×C89C2311yescharacteristic
370C4×Q8×C89C2311yescharacteristic
371C4×Q8×C89C2311yescharacteristic
372C4×Q8×C89C2311yescharacteristic
373C4×Q8×C89C2311yescharacteristic
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×C89—21no—
383C4×D4×C89—21no—
384C4×D4×C89—21no—
385C4×D4×C89—21no—
386C4×D4×C89—21no—
387C4×D4×C89—21no—
388C4×D4×C89C2311yescharacteristic
389C4×D4×C89C2311yescharacteristic
390C4×D4×C89C2311yescharacteristic
391C4×D4×C89C2311yescharacteristic
392C4×D4×C89C2311yescharacteristic
393C4×D4×C89C2311yescharacteristic
394C4×D4×C89C2311yescharacteristic
395C4×D4×C89C2311yescharacteristic
396C4×D4×C89C2311yescharacteristic
397C4×D4×C89C2311yescharacteristic
398#117×C89—21no—
399#117×C89—21no—
400#117×C89—21no—
401#117×C89—21no—
402#117×C89—21no—
403#117×C89—21no—
404#117×C89—21no—
405#117×C89—21no—
406#117×C89C2311yescharacteristic
407#117×C89C2311yescharacteristic
408#117×C89C2311yescharacteristic
409C2×C4⋊C4×C89—21no—
410C2×C4⋊C4×C89—21no—
411C2×C4⋊C4×C89—21no—
412C2×C4⋊C4×C89—21no—
413C2×C4⋊C4×C89—21no—
414C2×C4⋊C4×C89—21no—
415C2×C4⋊C4×C89—21no—
416C2×C4⋊C4×C89C2311yescharacteristic
417C2×C4⋊C4×C89C2311yescharacteristic
418C2×C22⋊C4×C89—21no—
419C2×C22⋊C4×C89—21no—
420C2×C42×C89—21no—
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#103×C89C2311yescharacteristic
457#103×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—
485#41×C89—22no—
486#41×C89—22no—
487#41×C89—22no—
488#41×C89—41no—
489#41×C89—41no—
490#41×C89—41no—
491#41×C89—41no—
492#41×C89—41no—
493#41×C89—41no—
494#41×C89—41no—
495#41×C89—41no—
496#41×C89—41no—
497#41×C89—41no—
498#41×C89—41no—
499C2×Q8×C89—21no—
500C2×Q8×C89—21no—
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×Q8×C89C2411yescharacteristic
509C2×Q8×C89C2411yescharacteristic
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—41no—
526C2×D4×C89—41no—
527C2×D4×C89C2×D411yescharacteristic
528C2×D4×C89C2×D411yescharacteristic
529C2×D4×C89C2×D411yescharacteristic
530C2×D4×C89C2411yescharacteristic
531C2×D4×C89C2411yescharacteristic
532C2×D4×C89C2411yescharacteristic
533C2×D4×C89C2411yescharacteristic
534C22×C4×C89—21no—
535C22×C4×C89—21no—
536C22×C4×C89—21no—
537C22×C4×C89—21no—
538C22×C4×C89—21no—
539C22×C4×C89—21no—
540C22×C4×C89—21no—
541C22×C4×C89—21no—
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×C89C2×D411yescharacteristic
552C22×C4×C89C2×D411yescharacteristic
553C22×C4×C89C2411yescharacteristic
554C22×C4×C89C2411yescharacteristic
555C22×C4×C89C2411yescharacteristic
556Q16×C89—41no—
557Q16×C89—41no—
558Q16×C89—41no—
559Q16×C89—41no—
560Q16×C89—41no—
561Q16×C89—41no—
562Q16×C89—41no—
563Q16×C89—41no—
564Q16×C89—41no—
565SD16×C89—22no—
566SD16×C89—22no—
567SD16×C89—22no—
568SD16×C89—41no—
569SD16×C89—41no—
570SD16×C89—41no—
571SD16×C89—41no—
572SD16×C89—41no—
573SD16×C89—41no—
574SD16×C89—41no—
575SD16×C89—41no—
576SD16×C89—41no—
577D8×C89—22no—
578D8×C89—22no—
579D8×C89—22no—
580M16×C89—41no—
581M16×C89—41no—
582C2×C8×C89—41no—
583C2×C8×C89—41no—
584C2×C8×C89—41no—
585C2×C8×C89—41no—
586C2×C8×C89C2411yescharacteristic
587C2×C8×C89C2411yescharacteristic
588C2×C8×C89C2411yescharacteristic
589C2×C8×C89C2411yescharacteristic
590C2×C8×C89C2411yescharacteristic
591C2×C8×C89C2411yescharacteristic
592C2×C8×C89C2411yescharacteristic
593C2×C8×C89C2411yescharacteristic
594C4⋊C4×C89—21no—
595C4⋊C4×C89—21no—
596C4⋊C4×C89—21no—
597C4⋊C4×C89—21no—
598C4⋊C4×C89—21no—
599C4⋊C4×C89—21no—
600C4⋊C4×C89—21no—
601C4⋊C4×C89—21no—
602C4⋊C4×C89—21no—
603C4⋊C4×C89—21no—
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×C89—21no—
629C4⋊C4×C89—21no—
630C4⋊C4×C89—21no—
631C4⋊C4×C89C2×D411yescharacteristic
632C4⋊C4×C89C2×D411yescharacteristic
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×C89C2×D411yescharacteristic
640C4⋊C4×C89C2×D411yescharacteristic
641C4⋊C4×C89C2411yescharacteristic
642C4⋊C4×C89C2411yescharacteristic
643C4⋊C4×C89C2411yescharacteristic
644C4⋊C4×C89C2411yescharacteristic
645C4⋊C4×C89C2411yescharacteristic
646C4⋊C4×C89C2411yescharacteristic
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×C89C2×D411yescharacteristic
678C22⋊C4×C89C2×D411yescharacteristic
679C22⋊C4×C89C2×D411yescharacteristic
680C22⋊C4×C89C2×D411yescharacteristic
681C22⋊C4×C89C2×D411yescharacteristic
682C22⋊C4×C89C2×D411yescharacteristic
683C22⋊C4×C89C2×D411yescharacteristic
684C22⋊C4×C89C2×D411yescharacteristic
685C22⋊C4×C89C2×D411yescharacteristic
686C22⋊C4×C89C2×D411yescharacteristic
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×C89—21no—
697C42×C89C2×D411yescharacteristic
698C42×C89C2×D411yescharacteristic
699C42×C89C2411yescharacteristic
700C42×C89C2411yescharacteristic
701C42×C89C2411yescharacteristic
702C42×C89C2411yescharacteristic
703C23×C89—21no—
704C23×C89—21no—
705C23×C89—21no—
706C23×C89—21no—
707C23×C89—81no—
708C23×C89—81no—
709C23×C89—81no—
710C23×C89C22×D411yescharacteristic
711C23×C89C22×D411yescharacteristic
712C23×C89C22×D411yescharacteristic
713Q8×C89—21no—
714Q8×C89—21no—
715Q8×C89—21no—
716Q8×C89—21no—
717Q8×C89—21no—
718Q8×C89—21no—
719Q8×C89—21no—
720Q8×C89—21no—
721Q8×C89—21no—
722Q8×C89—21no—
723Q8×C89—21no—
724Q8×C89—21no—
725Q8×C89—41no—
726Q8×C89—81no—
727Q8×C89—81no—
728D4×C89—21no—
729D4×C89—21no—
730D4×C89—21no—
731D4×C89—21no—
732D4×C89—21no—
733D4×C89—21no—
734D4×C89—21no—
735D4×C89—41no—
736D4×C89—41no—
737D4×C89—41no—
738D4×C89—42no—
739D4×C89—42no—
740D4×C89—42no—
741D4×C89—81no—
742D4×C89—81no—
743D4×C89—81no—
744D4×C89—81no—
745D4×C89—81no—
746D4×C89—81no—
747D4×C89—81no—
748D4×C89—81no—
749D4×C89—81no—
750D4×C89—81no—
751D4×C89—81no—
752D4×C89—81no—
753D4×C89H(5,𝔽2)12yes—
754C2×C4×C89—21no—
755C2×C4×C89—21no—
756C2×C4×C89—21no—
757C2×C4×C89—21no—
758C2×C4×C89—21no—
759C2×C4×C89—21no—
760C2×C4×C89—21no—
761C2×C4×C89—21no—
762C2×C4×C89—21no—
763C2×C4×C89—21no—
764C2×C4×C89—21no—
765C2×C4×C89—21no—
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—41no—
773C2×C4×C89—41no—
774C2×C4×C89—42no—
775C2×C4×C89—42no—
776C2×C4×C89—42no—
777C2×C4×C89—42no—
778C2×C4×C89—81no—
779C2×C4×C89—81no—
780C2×C4×C89—81no—
781C2×C4×C89—81no—
782C2×C4×C89—81no—
783C2×C4×C89—81no—
784C2×C4×C89—81no—
785C2×C4×C89—81no—
786C2×C4×C89—81no—
787C2×C4×C89—81no—
788C2×C4×C89—81no—
789C2×C4×C89—81no—
790C2×C4×C89—81no—
791C2×C4×C89C22×D411yescharacteristic
792C2×C4×C89C22×D411yescharacteristic
793C2×C4×C89C22×D411yescharacteristic
794C2×C4×C89C22×D411yescharacteristic
795C2×C4×C89C22×D411yescharacteristic
796C2×C4×C89C22×D411yescharacteristic
797C2×C4×C89C22×D411yescharacteristic
798C2×C4×C89C22×D411yescharacteristic
799C2×C4×C89C22×D411yescharacteristic
800C2×C4×C89C22×D411yescharacteristic
801C2×C4×C89C22×D411yescharacteristic
802C2×C4×C89C2511yescharacteristic
803C8×C89—21no—
804C8×C89—21no—
805C8×C89—21no—
806C8×C89—21no—
807C8×C89—21no—
808C8×C89—21no—
809C8×C89—21no—
810C8×C89—21no—
811C22×C89—21no—
812C22×C89—21no—
813C22×C89—21no—
814C22×C89—21no—
815C22×C89—21no—
816C22×C89—21no—
817C22×C89—21no—
818C22×C89—21no—
819C22×C89—21no—
820C22×C89—22no—
821C22×C89—41no—
822C22×C89—41no—
823C22×C89—41no—
824C22×C89—41no—
825C22×C89—41no—
826C22×C89—41no—
827C22×C89—41no—
828C22×C89—41no—
829C22×C89—41no—
830C22×C89—41no—
831C22×C89—41no—
832C22×C89—162no—
833C22×C89C23×D411yescharacteristic
834C4×C89—21no—
835C4×C89—21no—
836C4×C89—21no—
837C4×C89—21no—
838C4×C89—21no—
839C4×C89—21no—
840C4×C89—21no—
841C4×C89—21no—
842C4×C89—21no—
843C4×C89—21no—
844C4×C89—21no—
845C4×C89—41no—
846C4×C89—41no—
847C4×C89—41no—
848C4×C89—41no—
849C4×C89—41no—
850C4×C89—41no—
851C4×C89—41no—
852C4×C89—41no—
853C4×C89—41no—
854C4×C89—41no—
855C4×C89—41no—
856C4×C89—41no—
857C4×C89C2×H(5,𝔽2)11yescharacteristic
858C4×C89#58511yescharacteristic
859#62012C8911yesmaximal, characteristic, direct product factor, Sylow
860C2×C89—41no—
861C2×C89—41no—
862C2×C89—41no—
863C2×C89—42no—
864C2×C89—81no—
865C2×C89—81no—
866C2×C89—81no—
867C2×C89#348811yescharacteristic
868C2×C89#358411yescharacteristic
869C2×C89#358611yescharacteristic
870#3562C2×C8911yescharacteristic, complemented
871#3515C2×C8911yescharacteristic, complemented
872#3400C2×C8911yescharacteristic, complemented
873#3398C2×C8911yescharacteristic, complemented
874#3376C2×C8911yescharacteristic, complemented
875#3370C2×C8911yescharacteristic, complemented
876#3317C2×C8911yescharacteristic, complemented
877#3316C2×C8911yescharacteristic, complemented
878#3315C2×C8911yescharacteristic, complemented
879#3314C2×C8911yescharacteristic, complemented
880#3300C2×C8911yescharacteristic, complemented
881#3296C2×C8911yescharacteristic, complemented
882#3284C2×C8911yescharacteristic, complemented
883#3283C2×C8911yescharacteristic, complemented
884#3269C2×C8911yescharacteristic, complemented
885#3269C2×C8911yescharacteristic, complemented
886#3267C2×C8911yescharacteristic, complemented
887#3267C2×C8911yescharacteristic, complemented
888#3261C2×C8911yescharacteristic, complemented
889#3260C2×C8911yescharacteristic, complemented
890#3248C2×C8911yescharacteristic, complemented
891#3223C2×C8911yescharacteristic, complemented
892#3222C2×C8911yescharacteristic, complemented
893#3216C2×C8911yescharacteristic, complemented
894#3120C2×C8911yescharacteristic, complemented
895#3119C2×C8911yescharacteristic, complemented
896#3111C2×C8911yescharacteristic, complemented
897#3046C2×C8911yescharacteristic, complemented
898#3045C2×C8911yescharacteristic, complemented
899#3035C2×C8911yescharacteristic, complemented
900#2992C2×C8911yescharacteristic, complemented
901C89#6201211yescharacteristic, direct product factor, Sylow
902C2×#137C22×C8911yescharacteristic, complemented
903C2×AGL(1,ℤ/8)C22×C8911yescharacteristic
904C2×#135C22×C8911yescharacteristic
905C2×#135C22×C8911yescharacteristic
906C2×#135C22×C8911yescharacteristic
907C2×#135C22×C8911yescharacteristic, complemented
908#562—21no—
909#560—21no—
910#559C22×C8911yescharacteristic
911#557C22×C8911yescharacteristic, complemented
912#556C22×C8911yescharacteristic
913#554C22×C8911yescharacteristic
914#554C22×C8911yescharacteristic, complemented
915#553—21no—
916#553—21no—
917#552—21no—
918#552—21no—
919#552—21no—
920#552C22×C8911yescharacteristic
921#552C22×C8911yescharacteristic, complemented
922#551—21no—
923#550C22×C8911yescharacteristic
924#548C22×C8911yescharacteristic
925#548C22×C8911yescharacteristic
926#547C22×C8911yescharacteristic
927#547C22×C8911yescharacteristic
928#547C22×C8911yescharacteristic
929#547C22×C8911yescharacteristic, complemented
930#546C22×C8911yescharacteristic
931#546C22×C8911yescharacteristic
932#541C22×C8911yescharacteristic
933#541C22×C8911yescharacteristic
934#541C22×C8911yescharacteristic, complemented
935#540—21no—
936#540C22×C8911yescharacteristic
937#539—21no—
938#539—21no—
939#539—21no—
940#538—21no—
941#538—21no—
942#536C22×C8911yescharacteristic
943#535C22×C8911yescharacteristic
944#533C22×C8911yescharacteristic, complemented
945#532C22×C8911yescharacteristic
946#529—21no—
947#529C22×C8911yescharacteristic
948#529C22×C8911yescharacteristic
949C2×#125—21no—
950#520C22×C8911yescharacteristic
951#520C22×C8911yescharacteristic, complemented
952C4×#41C22×C8911yescharacteristic, complemented
953#497C22×C8911yescharacteristic
954#497C22×C8911yescharacteristic
955#497C22×C8911yescharacteristic
956#497C22×C8911yescharacteristic, complemented
957#494C22×C8911yescharacteristic, complemented
958#492C22×C8911yescharacteristic
959#491C22×C8911yescharacteristic, complemented
960#490C22×C8911yescharacteristic
961#489C22×C8911yescharacteristic
962#489C22×C8911yescharacteristic, complemented
963#488C22×C8911yescharacteristic
964#488C22×C8911yescharacteristic
965#485C22×C8911yescharacteristic, complemented
966#484C22×C8911yescharacteristic
967#483C22×C8911yescharacteristic
968#482C22×C8911yescharacteristic
969#481C22×C8911yescharacteristic, complemented
970#480C22×C8911yescharacteristic
971#479C22×C8911yescharacteristic, complemented
972#479C22×C8911yescharacteristic, complemented
973#479C22×C8911yescharacteristic, complemented
974#479C22×C8911yescharacteristic, complemented
975#479C22×C8911yescharacteristic, complemented
976#478C22×C8911yescharacteristic
977#478C22×C8911yescharacteristic, complemented
978#478C22×C8911yescharacteristic, complemented
979#475C22×C8911yescharacteristic, complemented
980#474C22×C8911yescharacteristic
981#470C22×C8911yescharacteristic
982#470C22×C8911yescharacteristic
983#468C22×C8911yescharacteristic
984#468C22×C8911yescharacteristic, complemented
985#467C22×C8911yescharacteristic
986#467C22×C8911yescharacteristic
987#467C22×C8911yescharacteristic, complemented
988#467C22×C8911yescharacteristic, complemented
989#465C22×C8911yescharacteristic
990#465C22×C8911yescharacteristic
991#465C22×C8911yescharacteristic
992#465C22×C8911yescharacteristic, complemented
993#464C22×C8911yescharacteristic
994#464C22×C8911yescharacteristic
995#464C22×C8911yescharacteristic
996#464C22×C8911yescharacteristic
997#464C22×C8911yescharacteristic
998#464C22×C8911yescharacteristic
999#464C22×C8911yescharacteristic, complemented
1000#463C22×C8911yescharacteristic
1001#463C22×C8911yescharacteristic
1002#463C22×C8911yescharacteristic
1003#463C22×C8911yescharacteristic
1004#463C22×C8911yescharacteristic, complemented
1005#462C22×C8911yescharacteristic, complemented
1006#462C22×C8911yescharacteristic, complemented
1007#462C22×C8911yescharacteristic, complemented
1008#462C22×C8911yescharacteristic, complemented
1009#462C22×C8911yescharacteristic, complemented
1010#462C22×C8911yescharacteristic, complemented
1011#462C22×C8911yescharacteristic, complemented
1012#461C22×C8911yescharacteristic
1013#461C22×C8911yescharacteristic
1014#461C22×C8911yescharacteristic, complemented
1015#461C22×C8911yescharacteristic, complemented
1016#461C22×C8911yescharacteristic, complemented
1017#460C22×C8911yescharacteristic
1018#460C22×C8911yescharacteristic
1019#460C22×C8911yescharacteristic
1020#460C22×C8911yescharacteristic
1021#459C22×C8911yescharacteristic
1022#459C22×C8911yescharacteristic
1023#452C22×C8911yescharacteristic
1024#452C22×C8911yescharacteristic
1025#452C22×C8911yescharacteristic
1026#452C22×C8911yescharacteristic
1027#452C22×C8911yescharacteristic
1028#452C22×C8911yescharacteristic
1029#452C22×C8911yescharacteristic
1030#452C22×C8911yescharacteristic
1031#452C22×C8911yescharacteristic, complemented
1032#452C22×C8911yescharacteristic, complemented
1033#452C22×C8911yescharacteristic, complemented
1034#451C22×C8911yescharacteristic, complemented
1035#451C22×C8911yescharacteristic, complemented
1036#450C22×C8911yescharacteristic
1037#450C22×C8911yescharacteristic
1038#449C22×C8911yescharacteristic
1039#449C22×C8911yescharacteristic
1040#449C22×C8911yescharacteristic, complemented
1041#446C22×C8911yescharacteristic, complemented
1042#446C22×C8911yescharacteristic, complemented
1043#442C22×C8911yescharacteristic
1044#442C22×C8911yescharacteristic
1045#441C22×C8911yescharacteristic, complemented
1046#441C22×C8911yescharacteristic, complemented
1047#440C22×C8911yescharacteristic
1048#440C22×C8911yescharacteristic, complemented
1049#440C22×C8911yescharacteristic, complemented
1050#440C22×C8911yescharacteristic, complemented
1051C4×Q16C22×C8911yescharacteristic, complemented
1052C4×SD16C22×C8911yescharacteristic
1053C4×SD16C22×C8911yescharacteristic, complemented
1054C4×D8C22×C8911yescharacteristic, complemented
1055#435C22×C8911yescharacteristic
1056#435C22×C8911yescharacteristic
1057#435C22×C8911yescharacteristic
1058#435C22×C8911yescharacteristic, complemented
1059C8×D4C22×C8911yescharacteristic
1060C8×D4C22×C8911yescharacteristic, complemented
1061#433C22×C8911yescharacteristic
1062#433C22×C8911yescharacteristic, complemented
1063#432C22×C8911yescharacteristic, complemented
1064#424C22×C8911yescharacteristic
1065#424C22×C8911yescharacteristic, complemented
1066C2×C4⋊C8C22×C8911yescharacteristic, complemented
1067#417C22×C8911yescharacteristic
1068#417C22×C8911yescharacteristic
1069#416C22×C8911yescharacteristic
1070#416C22×C8911yescharacteristic, complemented
1071C2×#103C22×C8911yescharacteristic, complemented
1072C2×#102C22×C8911yescharacteristic
1073C2×#41C23×C8911yescharacteristic
1074C2×#41C23×C8911yescharacteristic
1075C2×#41C23×C8911yescharacteristic
1076C2×#41C23×C8911yescharacteristic
1077C2×#41C23×C8911yescharacteristic
1078C2×#41C23×C8911yescharacteristic
1079C2×#41C23×C8911yescharacteristic
1080C22×Q8C23×C8911yescharacteristic
1081C22×D4C23×C8911yescharacteristic
1082#137—42no—
1083AGL(1,ℤ/8)—42no—
1084#135—42no—
1085#135—42no—
1086#135—42no—
1087#135—42no—
1088C2×Q16C23×C8911yescharacteristic
1089C2×Q16C23×C8911yescharacteristic
1090C2×Q16C23×C8911yescharacteristic
1091C2×Q16C23×C8911yescharacteristic
1092C2×Q16C23×C8911yescharacteristic
1093C2×Q16C23×C8911yescharacteristic
1094C2×Q16C23×C8911yescharacteristic
1095C2×Q16C23×C8911yescharacteristic
1096C2×Q16C23×C8911yescharacteristic
1097C2×SD16C23×C8911yescharacteristic
1098C2×SD16C23×C8911yescharacteristic
1099C2×SD16C23×C8911yescharacteristic
1100C2×SD16C23×C8911yescharacteristic
1101C2×SD16C23×C8911yescharacteristic
1102C2×SD16C23×C8911yescharacteristic
1103C2×SD16C23×C8911yescharacteristic
1104C2×SD16C23×C8911yescharacteristic
1105C2×SD16C23×C8911yescharacteristic
1106C2×SD16C23×C8911yescharacteristic
1107C2×SD16C23×C8911yescharacteristic
1108C2×SD16C23×C8911yescharacteristic
1109C2×D8C23×C8911yescharacteristic
1110C2×D8C23×C8911yescharacteristic
1111C2×D8C23×C8911yescharacteristic
1112C2×M16C23×C8911yescharacteristic
1113C2×M16C23×C8911yescharacteristic
1114C22×C8C23×C8911yescharacteristic
1115C22×C8C23×C8911yescharacteristic
1116C22×C8C23×C8911yescharacteristic
1117C22×C8C23×C8911yescharacteristic
1118C4⋊Q8C23×C8911yescharacteristic
1119C4⋊Q8C23×C8911yescharacteristic
1120C4⋊Q8C23×C8911yescharacteristic
1121C4⋊Q8C23×C8911yescharacteristic
1122C4⋊Q8C23×C8911yescharacteristic
1123C4⋊Q8C23×C8911yescharacteristic
1124#127—21no—
1125#127C23×C8911yescharacteristic
1126#127C23×C8911yescharacteristic
1127#126—21no—
1128#126—21no—
1129#126—21no—
1130#126—21no—
1131#126—21no—
1132#126—21no—
1133#126—21no—
1134#126—21no—
1135#126—21no—
1136#126—21no—
1137#126—21no—
1138#126D4×C8911yescharacteristic
1139#126D4×C8911yescharacteristic
1140#125—21no—
1141#125—21no—
1142#125—21no—
1143#125—21no—
1144#125—21no—
1145#125—21no—
1146#125—21no—
1147#125—21no—
1148#125—21no—
1149#125—21no—
1150#125—21no—
1151#125—21no—
1152#125—21no—
1153#125D4×C8911yescharacteristic
1154#125C23×C8911yescharacteristic
1155#125C23×C8911yescharacteristic
1156#125C23×C8911yescharacteristic
1157#124—21no—
1158#124—21no—
1159#124—21no—
1160#124D4×C8911yescharacteristic
1161#124C23×C8911yescharacteristic
1162#124C23×C8911yescharacteristic
1163#124C23×C8911yescharacteristic
1164#124C23×C8911yescharacteristic
1165#124C23×C8911yescharacteristic
1166#123—21no—
1167#123—21no—
1168#123—21no—
1169#123—21no—
1170#123—21no—
1171#123—21no—
1172#123—21no—
1173#123—21no—
1174#123—21no—
1175#123—21no—
1176#123—21no—
1177#123—21no—
1178#123—21no—
1179#123—21no—
1180#123—21no—
1181#123—21no—
1182#123—21no—
1183#123—21no—
1184#123—21no—
1185#123D4×C8911yescharacteristic
1186#123D4×C8911yescharacteristic
1187C22⋊Q8—21no—
1188C22⋊Q8—21no—
1189C22⋊Q8—21no—
1190C22⋊Q8—21no—
1191C22⋊Q8—21no—
1192C22⋊Q8—21no—
1193C22⋊Q8—21no—
1194C22⋊Q8—21no—
1195C22⋊Q8—21no—
1196C22⋊Q8—21no—
1197C22⋊Q8—21no—
1198C22⋊Q8D4×C8911yescharacteristic
1199C22⋊Q8C23×C8911yescharacteristic
1200C22⋊Q8C23×C8911yescharacteristic
1201C22⋊Q8C23×C8911yescharacteristic
1202C22⋊Q8C23×C8911yescharacteristic
1203C22⋊Q8C23×C8911yescharacteristic
1204C22⋊Q8C23×C8911yescharacteristic
1205C22⋊Q8C23×C8911yescharacteristic
1206C22⋊Q8C23×C8911yescharacteristic
1207C22⋊Q8C23×C8911yescharacteristic
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#121—21no—
1221#121—21no—
1222#121—21no—
1223#121—21no—
1224#121D4×C8911yescharacteristic
1225#121C23×C8911yescharacteristic
1226#121C23×C8911yescharacteristic
1227#121C23×C8911yescharacteristic
1228#120—21no—
1229#120—21no—
1230#120—21no—
1231#120—21no—
1232C4×Q8—21no—
1233C4×Q8—21no—
1234C4×Q8C23×C8911yescharacteristic
1235C4×Q8C23×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×D4—21no—
1245C4×D4—21no—
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×D4C23×C8911yescharacteristic
1259C4×D4C23×C8911yescharacteristic
1260C4×D4C23×C8911yescharacteristic
1261C4×D4C23×C8911yescharacteristic
1262C4×D4C23×C8911yescharacteristic
1263C4×D4C23×C8911yescharacteristic
1264C4×D4C23×C8911yescharacteristic
1265C4×D4C23×C8911yescharacteristic
1266C4×D4C23×C8911yescharacteristic
1267C4×D4C23×C8911yescharacteristic
1268#117—21no—
1269#117—21no—
1270#117—21no—
1271#117—21no—
1272#117—21no—
1273#117—21no—
1274#117—21no—
1275#117—21no—
1276#117C23×C8911yescharacteristic
1277#117C23×C8911yescharacteristic
1278#117C23×C8911yescharacteristic
1279C2×C4⋊C4—21no—
1280C2×C4⋊C4—21no—
1281C2×C4⋊C4—21no—
1282C2×C4⋊C4—21no—
1283C2×C4⋊C4—21no—
1284C2×C4⋊C4—21no—
1285C2×C4⋊C4—21no—
1286C2×C4⋊C4C23×C8911yescharacteristic
1287C2×C4⋊C4C23×C8911yescharacteristic
1288C2×C22⋊C4—21no—
1289C2×C22⋊C4—21no—
1290C2×C42—21no—
1291C2×C42C23×C8911yescharacteristic
1292#107C23×C8911yescharacteristic
1293#107C23×C8911yescharacteristic
1294#107C23×C8911yescharacteristic
1295#107C23×C8911yescharacteristic
1296#106C23×C8911yescharacteristic
1297#106C23×C8911yescharacteristic
1298#106C23×C8911yescharacteristic
1299#106C23×C8911yescharacteristic
1300C4⋊C8C23×C8911yescharacteristic
1301C4⋊C8C23×C8911yescharacteristic
1302C4⋊C8C23×C8911yescharacteristic
1303C4⋊C8C23×C8911yescharacteristic
1304C4⋊C8C23×C8911yescharacteristic
1305C4⋊C8C23×C8911yescharacteristic
1306C4⋊C8C23×C8911yescharacteristic
1307C4⋊C8C23×C8911yescharacteristic
1308C4⋊C8C23×C8911yescharacteristic
1309C4⋊C8C23×C8911yescharacteristic
1310#103C23×C8911yescharacteristic
1311#103C23×C8911yescharacteristic
1312#103C23×C8911yescharacteristic
1313#103C23×C8911yescharacteristic
1314#103C23×C8911yescharacteristic
1315#103C23×C8911yescharacteristic
1316#103C23×C8911yescharacteristic
1317#103C23×C8911yescharacteristic
1318#103C23×C8911yescharacteristic
1319#103C23×C8911yescharacteristic
1320#103C23×C8911yescharacteristic
1321#103C23×C8911yescharacteristic
1322#103C23×C8911yescharacteristic
1323#103C23×C8911yescharacteristic
1324#103C23×C8911yescharacteristic
1325#103C23×C8911yescharacteristic
1326#103C23×C8911yescharacteristic
1327#103C23×C8911yescharacteristic
1328#102C23×C8911yescharacteristic
1329#102C23×C8911yescharacteristic
1330#102C23×C8911yescharacteristic
1331#102C23×C8911yescharacteristic
1332#102C23×C8911yescharacteristic
1333#102C23×C8911yescharacteristic
1334#102C23×C8911yescharacteristic
1335#102C23×C8911yescharacteristic
1336#102C23×C8911yescharacteristic
1337#102C23×C8911yescharacteristic
1338#102C23×C8911yescharacteristic
1339#102C23×C8911yescharacteristic
1340#102C23×C8911yescharacteristic
1341#102C23×C8911yescharacteristic
1342C22⋊C8C23×C8911yescharacteristic
1343C22⋊C8C23×C8911yescharacteristic
1344C22⋊C8C23×C8911yescharacteristic
1345C22⋊C8C23×C8911yescharacteristic
1346C22⋊C8C23×C8911yescharacteristic
1347C22⋊C8C23×C8911yescharacteristic
1348#97C23×C8911yescharacteristic
1349#97C23×C8911yescharacteristic
1350#97C23×C8911yescharacteristic
1351#97C23×C8911yescharacteristic
1352C4×C8C23×C8911yescharacteristic
1353C4×C8C23×C8911yescharacteristic
1354C24—21no—
1355#41—22no—
1356#41—22no—
1357#41—22no—
1358#41—41no—
1359#41—41no—
1360#41—41no—
1361#41—41no—
1362#41—41no—
1363#41—41no—
1364#41—41no—
1365#41—41no—
1366#41—41no—
1367#41—41no—
1368#41—41no—
1369C2×Q8—21no—
1370C2×Q8—21no—
1371C2×Q8—41no—
1372C2×Q8—41no—
1373C2×Q8C2×D4×C8911yescharacteristic
1374C2×Q8C24×C8911yescharacteristic
1375C2×Q8C24×C8911yescharacteristic
1376C2×Q8C24×C8911yescharacteristic
1377C2×Q8C24×C8911yescharacteristic
1378C2×Q8C24×C8911yescharacteristic
1379C2×Q8C24×C8911yescharacteristic
1380C2×D4—21no—
1381C2×D4—21no—
1382C2×D4—21no—
1383C2×D4—21no—
1384C2×D4—21no—
1385C2×D4—21no—
1386C2×D4—21no—
1387C2×D4—21no—
1388C2×D4—21no—
1389C2×D4—21no—
1390C2×D4—21no—
1391C2×D4—21no—
1392C2×D4—21no—
1393C2×D4—21no—
1394C2×D4—21no—
1395C2×D4—41no—
1396C2×D4—41no—
1397C2×D4C2×D4×C8911yescharacteristic
1398C2×D4C2×D4×C8911yescharacteristic
1399C2×D4C2×D4×C8911yescharacteristic
1400C2×D4C24×C8911yescharacteristic
1401C2×D4C24×C8911yescharacteristic
1402C2×D4C24×C8911yescharacteristic
1403C2×D4C24×C8911yescharacteristic
1404C22×C4—21no—
1405C22×C4—21no—
1406C22×C4—21no—
1407C22×C4—21no—
1408C22×C4—21no—
1409C22×C4—21no—
1410C22×C4—21no—
1411C22×C4—21no—
1412C22×C4—21no—
1413C22×C4—21no—
1414C22×C4—21no—
1415C22×C4—21no—
1416C22×C4—21no—
1417C22×C4—21no—
1418C22×C4—21no—
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4C2×D4×C8911yescharacteristic
1422C22×C4C2×D4×C8911yescharacteristic
1423C22×C4C24×C8911yescharacteristic
1424C22×C4C24×C8911yescharacteristic
1425C22×C4C24×C8911yescharacteristic
1426Q16—41no—
1427Q16—41no—
1428Q16—41no—
1429Q16—41no—
1430Q16—41no—
1431Q16—41no—
1432Q16—41no—
1433Q16—41no—
1434Q16—41no—
1435SD16—22no—
1436SD16—22no—
1437SD16—22no—
1438SD16—41no—
1439SD16—41no—
1440SD16—41no—
1441SD16—41no—
1442SD16—41no—
1443SD16—41no—
1444SD16—41no—
1445SD16—41no—
1446SD16—41no—
1447D8—22no—
1448D8—22no—
1449D8—22no—
1450M16—41no—
1451M16—41no—
1452C2×C8—41no—
1453C2×C8—41no—
1454C2×C8—41no—
1455C2×C8—41no—
1456C2×C8C24×C8911yescharacteristic
1457C2×C8C24×C8911yescharacteristic
1458C2×C8C24×C8911yescharacteristic
1459C2×C8C24×C8911yescharacteristic
1460C2×C8C24×C8911yescharacteristic
1461C2×C8C24×C8911yescharacteristic
1462C2×C8C24×C8911yescharacteristic
1463C2×C8C24×C8911yescharacteristic
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—21no—
1467C4⋊C4—21no—
1468C4⋊C4—21no—
1469C4⋊C4—21no—
1470C4⋊C4—21no—
1471C4⋊C4—21no—
1472C4⋊C4—21no—
1473C4⋊C4—21no—
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—21no—
1481C4⋊C4—21no—
1482C4⋊C4—21no—
1483C4⋊C4—21no—
1484C4⋊C4—21no—
1485C4⋊C4—21no—
1486C4⋊C4—21no—
1487C4⋊C4—21no—
1488C4⋊C4—21no—
1489C4⋊C4—21no—
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⋊C4C2×D4×C8911yescharacteristic
1502C4⋊C4C2×D4×C8911yescharacteristic
1503C4⋊C4C2×D4×C8911yescharacteristic
1504C4⋊C4C2×D4×C8911yescharacteristic
1505C4⋊C4C2×D4×C8911yescharacteristic
1506C4⋊C4C2×D4×C8911yescharacteristic
1507C4⋊C4C2×D4×C8911yescharacteristic
1508C4⋊C4C2×D4×C8911yescharacteristic
1509C4⋊C4C2×D4×C8911yescharacteristic
1510C4⋊C4C2×D4×C8911yescharacteristic
1511C4⋊C4C24×C8911yescharacteristic
1512C4⋊C4C24×C8911yescharacteristic
1513C4⋊C4C24×C8911yescharacteristic
1514C4⋊C4C24×C8911yescharacteristic
1515C4⋊C4C24×C8911yescharacteristic
1516C4⋊C4C24×C8911yescharacteristic
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—21no—
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4—21no—
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⋊C4C2×D4×C8911yescharacteristic
1548C22⋊C4C2×D4×C8911yescharacteristic
1549C22⋊C4C2×D4×C8911yescharacteristic
1550C22⋊C4C2×D4×C8911yescharacteristic
1551C22⋊C4C2×D4×C8911yescharacteristic
1552C22⋊C4C2×D4×C8911yescharacteristic
1553C22⋊C4C2×D4×C8911yescharacteristic
1554C22⋊C4C2×D4×C8911yescharacteristic
1555C22⋊C4C2×D4×C8911yescharacteristic
1556C22⋊C4C2×D4×C8911yescharacteristic
1557C42—21no—
1558C42—21no—
1559C42—21no—
1560C42—21no—
1561C42—21no—
1562C42—21no—
1563C42—21no—
1564C42—21no—
1565C42—21no—
1566C42—21no—
1567C42C2×D4×C8911yescharacteristic
1568C42C2×D4×C8911yescharacteristic
1569C42C24×C8911yescharacteristic
1570C42C24×C8911yescharacteristic
1571C42C24×C8911yescharacteristic
1572C42C24×C8911yescharacteristic
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—81no—
1578C23—81no—
1579C23—81no—
1580C23C22×D4×C8911yescharacteristic
1581C23C22×D4×C8911yescharacteristic
1582C23C22×D4×C8911yescharacteristic
1583Q8—21no—
1584Q8—21no—
1585Q8—21no—
1586Q8—21no—
1587Q8—21no—
1588Q8—21no—
1589Q8—21no—
1590Q8—21no—
1591Q8—21no—
1592Q8—21no—
1593Q8—21no—
1594Q8—21no—
1595Q8—41no—
1596Q8—81no—
1597Q8—81no—
1598D4—21no—
1599D4—21no—
1600D4—21no—
1601D4—21no—
1602D4—21no—
1603D4—21no—
1604D4—21no—
1605D4—41no—
1606D4—41no—
1607D4—41no—
1608D4—42no—
1609D4—42no—
1610D4—42no—
1611D4—81no—
1612D4—81no—
1613D4—81no—
1614D4—81no—
1615D4—81no—
1616D4—81no—
1617D4—81no—
1618D4—81no—
1619D4—81no—
1620D4—81no—
1621D4—81no—
1622D4—81no—
1623D4H(5,𝔽2)×C8912yes—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—41no—
1643C2×C4—41no—
1644C2×C4—42no—
1645C2×C4—42no—
1646C2×C4—42no—
1647C2×C4—42no—
1648C2×C4—81no—
1649C2×C4—81no—
1650C2×C4—81no—
1651C2×C4—81no—
1652C2×C4—81no—
1653C2×C4—81no—
1654C2×C4—81no—
1655C2×C4—81no—
1656C2×C4—81no—
1657C2×C4—81no—
1658C2×C4—81no—
1659C2×C4—81no—
1660C2×C4—81no—
1661C2×C4C22×D4×C8911yescharacteristic
1662C2×C4C22×D4×C8911yescharacteristic
1663C2×C4C22×D4×C8911yescharacteristic
1664C2×C4C22×D4×C8911yescharacteristic
1665C2×C4C22×D4×C8911yescharacteristic
1666C2×C4C22×D4×C8911yescharacteristic
1667C2×C4C22×D4×C8911yescharacteristic
1668C2×C4C22×D4×C8911yescharacteristic
1669C2×C4C22×D4×C8911yescharacteristic
1670C2×C4C22×D4×C8911yescharacteristic
1671C2×C4C22×D4×C8911yescharacteristic
1672C2×C4C25×C8911yescharacteristic
1673C8—21no—
1674C8—21no—
1675C8—21no—
1676C8—21no—
1677C8—21no—
1678C8—21no—
1679C8—21no—
1680C8—21no—
1681C22—21no—
1682C22—21no—
1683C22—21no—
1684C22—21no—
1685C22—21no—
1686C22—21no—
1687C22—21no—
1688C22—21no—
1689C22—21no—
1690C22—22no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—162no—
1703C22C23×D4×C8911yescharacteristic
1704C4—21no—
1705C4—21no—
1706C4—21no—
1707C4—21no—
1708C4—21no—
1709C4—21no—
1710C4—21no—
1711C4—21no—
1712C4—21no—
1713C4—21no—
1714C4—21no—
1715C4—41no—
1716C4—41no—
1717C4—41no—
1718C4—41no—
1719C4—41no—
1720C4—41no—
1721C4—41no—
1722C4—41no—
1723C4—41no—
1724C4—41no—
1725C4—41no—
1726C4—41no—
1727C4C2×H(5,𝔽2)×C8911yescharacteristic
1728C4#585×C8911yescharacteristic
1729C2—41no—
1730C2—41no—
1731C2—41no—
1732C2—42no—
1733C2—81no—
1734C2—81no—
1735C2—81no—
1736C2C89×#348811yescharacteristic
1737C2C89×#358411yescharacteristic
1738C2C89×#358611yescharacteristic
subgroupG/H
center, socleC22×C89C23×D4
commutator, Frattini, cosocleC2×C4C25×C89
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C89 ◁ #529×C89 ◁ G

Complements

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

NH ≅ G/Ntype
1. C89×#3562C2semidirect
2. C89×#3515C2semidirect
3. C89×#3400C2semidirect
4. C89×#3398C2semidirect
5. C89×#3376C2semidirect
6. C89×#3370C2semidirect
7. C89×#3317C2semidirect
8. C89×#3316C2semidirect
9. C89×#3315C2semidirect
10. C89×#3314C2semidirect
11. C89×#3300C2semidirect
12. C89×#3296C2semidirect
13. C89×#3284C2semidirect
14. C89×#3283C2semidirect
15. C89×#3269C2semidirect
16. C89×#3269C2semidirect
17. C89×#3267C2semidirect
18. C89×#3267C2semidirect
19. C89×#3261C2semidirect
20. C89×#3260C2semidirect
21. C89×#3248C2semidirect
22. C89×#3223C2semidirect
23. C89×#3222C2semidirect
24. C89×#3216C2semidirect
25. C89×#3120C2semidirect
26. C89×#3119C2semidirect
27. C89×#3111C2semidirect
28. C89×#3046C2semidirect
29. C89×#3045C2semidirect
30. C89×#3035C2semidirect
31. C89×#2992C2semidirect
32. C2×#137×C89C22semidirect
37. C2×#135×C89C22semidirect
41. #557×C89C22semidirect
44. #554×C89C22semidirect
51. #552×C89C22semidirect
59. #547×C89C22semidirect
64. #541×C89C22semidirect
74. #533×C89C22semidirect
81. #520×C89C22semidirect
82. C4×#41×C89C22semidirect
86. #497×C89C22semidirect
87. #494×C89C22semidirect
89. #491×C89C22semidirect
92. #489×C89C22semidirect
95. #485×C89C22semidirect
99. #481×C89C22semidirect
101. #479×C89C22semidirect
102. #479×C89C22semidirect
103. #479×C89C22semidirect
104. #479×C89C22semidirect
105. #479×C89C22semidirect
107. #478×C89C22semidirect
108. #478×C89C22semidirect
109. #475×C89C22semidirect
114. #468×C89C22semidirect
117. #467×C89C22semidirect
118. #467×C89C22semidirect
122. #465×C89C22semidirect
129. #464×C89C22semidirect
134. #463×C89C22semidirect
135. #462×C89C22semidirect
136. #462×C89C22semidirect
137. #462×C89C22semidirect
138. #462×C89C22semidirect
139. #462×C89C22semidirect
140. #462×C89C22semidirect
141. #462×C89C22semidirect
144. #461×C89C22semidirect
145. #461×C89C22semidirect
146. #461×C89C22semidirect
161. #452×C89C22semidirect
162. #452×C89C22semidirect
163. #452×C89C22semidirect
164. #451×C89C22semidirect
165. #451×C89C22semidirect
170. #449×C89C22semidirect
171. #446×C89C22semidirect
172. #446×C89C22semidirect
175. #441×C89C22semidirect
176. #441×C89C22semidirect
178. #440×C89C22semidirect
179. #440×C89C22semidirect
180. #440×C89C22semidirect
181. C4×Q16×C89C22semidirect
183. C4×SD16×C89C22semidirect
184. C4×D8×C89C22semidirect
188. #435×C89C22semidirect
190. C8×D4×C89C22semidirect
192. #433×C89C22semidirect
193. #432×C89C22semidirect
195. #424×C89C22semidirect
196. C2×C4⋊C8×C89C22semidirect
200. #416×C89C22semidirect
201. C2×#103×C89C22semidirect
859. #62012C89direct (N × H)
870. #3562C2×C89semidirect
871. #3515C2×C89semidirect
872. #3400C2×C89semidirect
873. #3398C2×C89semidirect
874. #3376C2×C89semidirect
875. #3370C2×C89semidirect
876. #3317C2×C89semidirect
877. #3316C2×C89semidirect
878. #3315C2×C89semidirect
879. #3314C2×C89semidirect
880. #3300C2×C89semidirect
881. #3296C2×C89semidirect
882. #3284C2×C89semidirect
883. #3283C2×C89semidirect
884. #3269C2×C89semidirect
885. #3269C2×C89semidirect
886. #3267C2×C89semidirect
887. #3267C2×C89semidirect
888. #3261C2×C89semidirect
889. #3260C2×C89semidirect
890. #3248C2×C89semidirect
891. #3223C2×C89semidirect
892. #3222C2×C89semidirect
893. #3216C2×C89semidirect
894. #3120C2×C89semidirect
895. #3119C2×C89semidirect
896. #3111C2×C89semidirect
897. #3046C2×C89semidirect
898. #3045C2×C89semidirect
899. #3035C2×C89semidirect
900. #2992C2×C89semidirect
901. C89#62012direct (N × H)
902. C2×#137C22×C89semidirect
907. C2×#135C22×C89semidirect
911. #557C22×C89semidirect
914. #554C22×C89semidirect
921. #552C22×C89semidirect
929. #547C22×C89semidirect
934. #541C22×C89semidirect
944. #533C22×C89semidirect
951. #520C22×C89semidirect
952. C4×#41C22×C89semidirect
956. #497C22×C89semidirect
957. #494C22×C89semidirect
959. #491C22×C89semidirect
962. #489C22×C89semidirect
965. #485C22×C89semidirect
969. #481C22×C89semidirect
971. #479C22×C89semidirect
972. #479C22×C89semidirect
973. #479C22×C89semidirect
974. #479C22×C89semidirect
975. #479C22×C89semidirect
977. #478C22×C89semidirect
978. #478C22×C89semidirect
979. #475C22×C89semidirect
984. #468C22×C89semidirect
987. #467C22×C89semidirect
988. #467C22×C89semidirect
992. #465C22×C89semidirect
999. #464C22×C89semidirect
1004. #463C22×C89semidirect
1005. #462C22×C89semidirect
1006. #462C22×C89semidirect
1007. #462C22×C89semidirect
1008. #462C22×C89semidirect
1009. #462C22×C89semidirect
1010. #462C22×C89semidirect
1011. #462C22×C89semidirect
1014. #461C22×C89semidirect
1015. #461C22×C89semidirect
1016. #461C22×C89semidirect
1031. #452C22×C89semidirect
1032. #452C22×C89semidirect
1033. #452C22×C89semidirect
1034. #451C22×C89semidirect
1035. #451C22×C89semidirect
1040. #449C22×C89semidirect
1041. #446C22×C89semidirect
1042. #446C22×C89semidirect
1045. #441C22×C89semidirect
1046. #441C22×C89semidirect
1048. #440C22×C89semidirect
1049. #440C22×C89semidirect
1050. #440C22×C89semidirect
1051. C4×Q16C22×C89semidirect
1053. C4×SD16C22×C89semidirect
1054. C4×D8C22×C89semidirect
1058. #435C22×C89semidirect
1060. C8×D4C22×C89semidirect
1062. #433C22×C89semidirect
1063. #432C22×C89semidirect
1065. #424C22×C89semidirect
1066. C2×C4⋊C8C22×C89semidirect
1070. #416C22×C89semidirect
1071. C2×#103C22×C89semidirect

Maximal subgroups

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

subgroupindex
C89×#35622
C89×#35152
C89×#34002
C89×#33982
C89×#33762
C89×#33702
C89×#33172
C89×#33162
C89×#33152
C89×#33142
C89×#33002
C89×#32962
C89×#32842
C89×#32832
C89×#32692
C89×#32672
C89×#32612
C89×#32602
C89×#32482
C89×#32232
C89×#32222
C89×#32162
C89×#31202
C89×#31192
C89×#31112
C89×#30462
C89×#30452
C89×#30352
C89×#29922
#6201289