Finite Group Databasebeta

← C89×#62008 #36439856

Subgroups — C89×#62008 #36439856

Order 22784.

1838 conjugacy classes of subgroups.

The subgroup lattice has 1756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C89×#3552C211yesmaximal, characteristic, complemented
2C89×#3513C211yesmaximal, characteristic, complemented
3C89×#3401C211yesmaximal, characteristic, complemented
4C89×#3400C211yesmaximal, characteristic, complemented
5C89×#3376C211yesmaximal, characteristic, complemented
6C89×#3372C211yesmaximal, characteristic, complemented
7C89×#3320C211yesmaximal, characteristic, complemented
8C89×#3312C211yesmaximal, characteristic, complemented
9C89×#3308C211yesmaximal, characteristic, complemented
10C89×#3307C211yesmaximal, characteristic, complemented
11C89×#3300C211yesmaximal, characteristic, complemented
12C89×#3298C211yesmaximal, characteristic, complemented
13C89×#3282C211yesmaximal, characteristic, complemented
14D4×SD16×C89C211yesmaximal, characteristic, complemented
15C89×#3267C211yesmaximal, characteristic, complemented
16C89×#3266C211yesmaximal, characteristic, complemented
17C89×#3266C211yesmaximal, characteristic, complemented
18C89×#3265C211yesmaximal, characteristic, complemented
19C89×#3260C211yesmaximal, characteristic, complemented
20C89×#3258C211yesmaximal, characteristic, complemented
21C89×#3250C211yesmaximal, characteristic, complemented
22C89×#3225C211yesmaximal, characteristic, complemented
23C89×#3221C211yesmaximal, characteristic, complemented
24C89×#3218C211yesmaximal, characteristic, complemented
25C89×#3123C211yesmaximal, characteristic, complemented
26C89×#3120C211yesmaximal, characteristic, complemented
27C89×#3114C211yesmaximal, characteristic, complemented
28C89×#3046C211yesmaximal, characteristic, complemented
29C89×#3042C211yesmaximal, characteristic, complemented
30C2×#461×C89C211yesmaximal, characteristic, complemented
31C89×#2992C211yesmaximal, characteristic, complemented
32C2×#137×C89C2211yescharacteristic
33C2×AGL(1,ℤ/8)×C89C2211yescharacteristic
34C2×#135×C89C2211yescharacteristic
35C22×SD16×C89C2211yescharacteristic
36C22×SD16×C89C2211yescharacteristic
37C22×SD16×C89C2211yescharacteristic
38#563×C89—21no—
39#563×C89—21no—
40#559×C89C2211yescharacteristic
41#557×C89C2211yescharacteristic, complemented
42#556×C89C2211yescharacteristic, complemented
43#554×C89—21no—
44#554×C89C2211yescharacteristic
45#553×C89—21no—
46#553×C89—21no—
47#553×C89C2211yescharacteristic
48#552×C89C2211yescharacteristic
49#551×C89—21no—
50#551×C89—21no—
51D4×Q8×C89C2211yescharacteristic
52D4×Q8×C89C2211yescharacteristic, complemented
53D4×Q8×C89C2211yescharacteristic, complemented
54#548×C89C2211yescharacteristic
55#548×C89C2211yescharacteristic, complemented
56#547×C89C2211yescharacteristic
57#547×C89C2211yescharacteristic, complemented
58#546×C89—21no—
59#546×C89C2211yescharacteristic
60#546×C89C2211yescharacteristic
61D42×C89C2211yescharacteristic
62#544×C89—21no—
63#542×C89—21no—
64#542×C89C2211yescharacteristic
65#541×C89C2211yescharacteristic, complemented
66#541×C89C2211yescharacteristic, complemented
67#540×C89C2211yescharacteristic
68#539×C89—21no—
69#539×C89—21no—
70#539×C89—21no—
71#538×C89—21no—
72#536×C89C2211yescharacteristic, complemented
73#536×C89C2211yescharacteristic, complemented
74C2×C4⋊Q8×C89C2211yescharacteristic, complemented
75#529×C89C2211yescharacteristic
76#529×C89C2211yescharacteristic
77#529×C89C2211yescharacteristic, complemented
78#525×C89—21no—
79C2×#123×C89—21no—
80#520×C89C2211yescharacteristic
81#518×C89C2211yescharacteristic
82C2×C4×D4×C89C2211yescharacteristic
83#497×C89C2211yescharacteristic, complemented
84#497×C89C2211yescharacteristic, complemented
85#497×C89C2211yescharacteristic, complemented
86#496×C89C2211yescharacteristic
87#495×C89C2211yescharacteristic, complemented
88#492×C89C2211yescharacteristic
89#491×C89C2211yescharacteristic, complemented
90#491×C89C2211yescharacteristic, complemented
91#491×C89C2211yescharacteristic, complemented
92#489×C89C2211yescharacteristic, complemented
93#488×C89C2211yescharacteristic, complemented
94#487×C89C2211yescharacteristic, complemented
95#485×C89C2211yescharacteristic, complemented
96#485×C89C2211yescharacteristic, complemented
97#484×C89C2211yescharacteristic, complemented
98#483×C89C2211yescharacteristic, complemented
99#483×C89C2211yescharacteristic, complemented
100#480×C89C2211yescharacteristic, complemented
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#475×C89C2211yescharacteristic, complemented
111#470×C89C2211yescharacteristic, complemented
112#468×C89C2211yescharacteristic
113#468×C89C2211yescharacteristic, complemented
114#468×C89C2211yescharacteristic, complemented
115#467×C89C2211yescharacteristic, complemented
116#467×C89C2211yescharacteristic, complemented
117#466×C89C2211yescharacteristic
118#465×C89C2211yescharacteristic
119#465×C89C2211yescharacteristic
120#465×C89C2211yescharacteristic, complemented
121#465×C89C2211yescharacteristic, complemented
122#465×C89C2211yescharacteristic, complemented
123#464×C89C2211yescharacteristic, complemented
124#464×C89C2211yescharacteristic, complemented
125#464×C89C2211yescharacteristic, complemented
126#464×C89C2211yescharacteristic, complemented
127#464×C89C2211yescharacteristic, complemented
128#463×C89C2211yescharacteristic
129#463×C89C2211yescharacteristic
130#463×C89C2211yescharacteristic
131#463×C89C2211yescharacteristic, complemented
132#463×C89C2211yescharacteristic, complemented
133#463×C89C2211yescharacteristic, complemented
134#463×C89C2211yescharacteristic, complemented
135#462×C89C2211yescharacteristic, complemented
136#462×C89C2211yescharacteristic, complemented
137#462×C89C2211yescharacteristic, complemented
138#461×C89C2211yescharacteristic
139#461×C89C2211yescharacteristic
140#461×C89C2211yescharacteristic
141#461×C89C2211yescharacteristic
142#461×C89C2211yescharacteristic
143#461×C89C2211yescharacteristic
144#461×C89C2211yescharacteristic, complemented
145#461×C89C2211yescharacteristic, complemented
146#461×C89C2211yescharacteristic, complemented
147#461×C89C2211yescharacteristic, complemented
148#461×C89C2211yescharacteristic, complemented
149#461×C89C2211yescharacteristic, complemented
150#461×C89C2211yescharacteristic, complemented
151#460×C89C2211yescharacteristic
152#460×C89C2211yescharacteristic
153#452×C89C2211yescharacteristic
154#452×C89C2211yescharacteristic
155#452×C89C2211yescharacteristic, complemented
156#451×C89C2211yescharacteristic, complemented
157#451×C89C2211yescharacteristic, complemented
158#451×C89C2211yescharacteristic, complemented
159#450×C89C2211yescharacteristic
160#450×C89C2211yescharacteristic
161#450×C89C2211yescharacteristic
162#449×C89C2211yescharacteristic
163#449×C89C2211yescharacteristic, complemented
164#449×C89C2211yescharacteristic, complemented
165#448×C89C2211yescharacteristic
166#448×C89C2211yescharacteristic
167#448×C89C2211yescharacteristic
168#448×C89C2211yescharacteristic, complemented
169#448×C89C2211yescharacteristic, complemented
170#447×C89C2211yescharacteristic
171#446×C89C2211yescharacteristic, complemented
172#446×C89C2211yescharacteristic, complemented
173#442×C89C2211yescharacteristic
174#442×C89C2211yescharacteristic, complemented
175#441×C89C2211yescharacteristic, complemented
176#440×C89C2211yescharacteristic
177#440×C89C2211yescharacteristic
178#440×C89C2211yescharacteristic
179#440×C89C2211yescharacteristic, complemented
180#440×C89C2211yescharacteristic, complemented
181C4×Q16×C89C2211yescharacteristic, complemented
182C4×SD16×C89C2211yescharacteristic
183C4×SD16×C89C2211yescharacteristic
184C4×SD16×C89C2211yescharacteristic, complemented
185#435×C89C2211yescharacteristic
186#435×C89C2211yescharacteristic, complemented
187#435×C89C2211yescharacteristic, complemented
188#435×C89C2211yescharacteristic, complemented
189C8×D4×C89C2211yescharacteristic
190C8×D4×C89C2211yescharacteristic, complemented
191#433×C89C2211yescharacteristic, complemented
192#433×C89C2211yescharacteristic, complemented
193#432×C89C2211yescharacteristic, complemented
194#424×C89C2211yescharacteristic, complemented
195#424×C89C2211yescharacteristic, complemented
196C2×C4⋊C8×C89C2211yescharacteristic, complemented
197#419×C89C2211yescharacteristic, complemented
198#417×C89C2211yescharacteristic, complemented
199#416×C89C2211yescharacteristic, complemented
200C2×#103×C89C2211yescharacteristic, complemented
201C2×#103×C89C2211yescharacteristic, complemented
202C2×#103×C89C2211yescharacteristic, complemented
203C2×#41×C89—21no—
204C2×#41×C89C2311yescharacteristic
205C2×#41×C89C2311yescharacteristic
206C2×#41×C89C2311yescharacteristic
207C22×Q8×C89C2311yescharacteristic
208C22×Q8×C89C2311yescharacteristic
209C22×Q8×C89C2311yescharacteristic
210C22×Q8×C89C2311yescharacteristic
211C22×D4×C89—21no—
212C22×D4×C89C2311yescharacteristic
213C22×D4×C89C2311yescharacteristic
214C23×C4×C89—21no—
215#137×C89—42no—
216AGL(1,ℤ/8)×C89—42no—
217#135×C89—42no—
218C2×Q16×C89C2311yescharacteristic
219C2×Q16×C89C2311yescharacteristic
220C2×Q16×C89C2311yescharacteristic
221C2×Q16×C89C2311yescharacteristic
222C2×Q16×C89C2311yescharacteristic
223C2×SD16×C89—42no—
224C2×SD16×C89—42no—
225C2×SD16×C89—42no—
226C2×SD16×C89C2311yescharacteristic
227C2×SD16×C89C2311yescharacteristic
228C2×SD16×C89C2311yescharacteristic
229C2×SD16×C89C2311yescharacteristic
230C2×SD16×C89C2311yescharacteristic
231C2×SD16×C89C2311yescharacteristic
232C2×SD16×C89C2311yescharacteristic
233C2×SD16×C89C2311yescharacteristic
234C2×SD16×C89C2311yescharacteristic
235C2×SD16×C89C2311yescharacteristic
236C2×SD16×C89C2311yescharacteristic
237C2×SD16×C89C2311yescharacteristic
238C2×SD16×C89C2311yescharacteristic
239C2×SD16×C89C2311yescharacteristic
240C2×SD16×C89C2311yescharacteristic
241C2×SD16×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×C89—21no—
254C4⋊Q8×C89—21no—
255C4⋊Q8×C89—21no—
256C4⋊Q8×C89C2311yescharacteristic
257C4⋊Q8×C89C2311yescharacteristic
258C4⋊Q8×C89C2311yescharacteristic
259C4⋊Q8×C89C2311yescharacteristic
260C4⋊Q8×C89C2311yescharacteristic
261C4⋊Q8×C89C2311yescharacteristic
262C4⋊Q8×C89C2311yescharacteristic
263#127×C89C2311yescharacteristic
264#126×C89—21no—
265#126×C89—21no—
266#126×C89—21no—
267#126×C89—21no—
268#126×C89—21no—
269#126×C89—21no—
270#126×C89—21no—
271#126×C89—21no—
272#126×C89—21no—
273#126×C89—21no—
274#126×C89—21no—
275#126×C89D411yescharacteristic
276#126×C89D411yescharacteristic
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×C89—21no—
284#125×C89—21no—
285#125×C89D411yescharacteristic
286#125×C89C2311yescharacteristic
287#125×C89C2311yescharacteristic
288#125×C89C2311yescharacteristic
289#124×C89—21no—
290#124×C89—21no—
291#124×C89—21no—
292#124×C89—21no—
293#124×C89D411yescharacteristic
294#124×C89C2311yescharacteristic
295#124×C89C2311yescharacteristic
296#124×C89C2311yescharacteristic
297#124×C89C2311yescharacteristic
298#124×C89C2311yescharacteristic
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×C89—21no—
316#123×C89—21no—
317#123×C89—21no—
318#123×C89D411yescharacteristic
319#123×C89D411yescharacteristic
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×C89—21no—
329C22⋊Q8×C89—21no—
330C22⋊Q8×C89—21no—
331C22⋊Q8×C89—21no—
332C22⋊Q8×C89—21no—
333C22⋊Q8×C89—21no—
334C22⋊Q8×C89—21no—
335C22⋊Q8×C89—21no—
336C22⋊Q8×C89—21no—
337C22⋊Q8×C89—21no—
338C22⋊Q8×C89D411yescharacteristic
339C22⋊Q8×C89C2311yescharacteristic
340C22⋊Q8×C89C2311yescharacteristic
341C22⋊Q8×C89C2311yescharacteristic
342C22⋊Q8×C89C2311yescharacteristic
343C22⋊Q8×C89C2311yescharacteristic
344C22⋊Q8×C89C2311yescharacteristic
345C22⋊Q8×C89C2311yescharacteristic
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×C89—21no—
355#121×C89D411yescharacteristic
356#121×C89C2311yescharacteristic
357#121×C89C2311yescharacteristic
358#121×C89C2311yescharacteristic
359#121×C89C2311yescharacteristic
360#121×C89C2311yescharacteristic
361#120×C89—21no—
362#120×C89—21no—
363#120×C89—21no—
364#120×C89—21no—
365C4×Q8×C89—21no—
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×C89—21no—
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
398C4×D4×C89C2311yescharacteristic
399C4×D4×C89C2311yescharacteristic
400C4×D4×C89C2311yescharacteristic
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×C89C2311yescharacteristic
415C2×C4⋊C4×C89C2311yescharacteristic
416C2×C22⋊C4×C89—21no—
417C2×C22⋊C4×C89—21no—
418C2×C22⋊C4×C89—21no—
419C2×C22⋊C4×C89—21no—
420C2×C22⋊C4×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#103×C89C2311yescharacteristic
459#103×C89C2311yescharacteristic
460#103×C89C2311yescharacteristic
461#103×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—41no—
488#41×C89—41no—
489#41×C89—41no—
490#41×C89—41no—
491#41×C89—41no—
492#41×C89—82no—
493C2×Q8×C89—21no—
494C2×Q8×C89—21no—
495C2×Q8×C89—21no—
496C2×Q8×C89—21no—
497C2×Q8×C89—21no—
498C2×Q8×C89—41no—
499C2×Q8×C89—41no—
500C2×Q8×C89—41no—
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×Q8×C89C2411yescharacteristic
513C2×D4×C89—22no—
514C2×D4×C89—22no—
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—41no—
528C2×D4×C89—41no—
529C2×D4×C89—82no—
530C2×D4×C89C2×D411yescharacteristic
531C2×D4×C89C2×D411yescharacteristic
532C2×D4×C89C2×D411yescharacteristic
533C2×D4×C89C2411yescharacteristic
534C2×D4×C89C2411yescharacteristic
535C2×D4×C89C2411yescharacteristic
536C2×D4×C89C2411yescharacteristic
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×C89—21no—
552C22×C4×C89—21no—
553C22×C4×C89—21no—
554C22×C4×C89—21no—
555C22×C4×C89—82no—
556C22×C4×C89C2×D411yescharacteristic
557C22×C4×C89C2×D411yescharacteristic
558C22×C4×C89C2411yescharacteristic
559C22×C4×C89C2411yescharacteristic
560C22×C4×C89C2411yescharacteristic
561Q16×C89—41no—
562Q16×C89—41no—
563Q16×C89—41no—
564Q16×C89—41no—
565Q16×C89—41no—
566SD16×C89—22no—
567SD16×C89—22no—
568SD16×C89—22no—
569SD16×C89—22no—
570SD16×C89—22no—
571SD16×C89—41no—
572SD16×C89—41no—
573SD16×C89—41no—
574SD16×C89—41no—
575SD16×C89—41no—
576SD16×C89—41no—
577SD16×C89—41no—
578SD16×C89—41no—
579SD16×C89—41no—
580SD16×C89—41no—
581SD16×C89—41no—
582D8×C89—22no—
583D8×C89—41no—
584D8×C89—41no—
585M16×C89—41no—
586M16×C89—41no—
587C2×C8×C89—41no—
588C2×C8×C89—41no—
589C2×C8×C89—41no—
590C2×C8×C89—41no—
591C2×C8×C89C2411yescharacteristic
592C2×C8×C89C2411yescharacteristic
593C2×C8×C89C2411yescharacteristic
594C2×C8×C89C2411yescharacteristic
595C2×C8×C89C2411yescharacteristic
596C2×C8×C89C2411yescharacteristic
597C2×C8×C89C2411yescharacteristic
598C2×C8×C89C2411yescharacteristic
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×C89—21no—
632C4⋊C4×C89—21no—
633C4⋊C4×C89—21no—
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×C89C2×D411yescharacteristic
642C4⋊C4×C89C2×D411yescharacteristic
643C4⋊C4×C89C2×D411yescharacteristic
644C4⋊C4×C89C2411yescharacteristic
645C4⋊C4×C89C2411yescharacteristic
646C4⋊C4×C89C2411yescharacteristic
647C4⋊C4×C89C2411yescharacteristic
648C4⋊C4×C89C2411yescharacteristic
649C4⋊C4×C89C2411yescharacteristic
650C22⋊C4×C89—21no—
651C22⋊C4×C89—21no—
652C22⋊C4×C89—21no—
653C22⋊C4×C89—21no—
654C22⋊C4×C89—21no—
655C22⋊C4×C89—21no—
656C22⋊C4×C89—21no—
657C22⋊C4×C89—21no—
658C22⋊C4×C89—21no—
659C22⋊C4×C89—21no—
660C22⋊C4×C89—21no—
661C22⋊C4×C89—21no—
662C22⋊C4×C89—21no—
663C22⋊C4×C89—21no—
664C22⋊C4×C89—21no—
665C22⋊C4×C89—21no—
666C22⋊C4×C89—21no—
667C22⋊C4×C89—21no—
668C22⋊C4×C89—21no—
669C22⋊C4×C89—21no—
670C22⋊C4×C89—21no—
671C22⋊C4×C89—21no—
672C22⋊C4×C89—21no—
673C22⋊C4×C89—21no—
674C22⋊C4×C89—21no—
675C22⋊C4×C89—21no—
676C22⋊C4×C89—21no—
677C22⋊C4×C89—21no—
678C22⋊C4×C89—21no—
679C22⋊C4×C89—21no—
680C22⋊C4×C89—21no—
681C22⋊C4×C89—21no—
682C22⋊C4×C89C2×D411yescharacteristic
683C22⋊C4×C89C2×D411yescharacteristic
684C22⋊C4×C89C2×D411yescharacteristic
685C22⋊C4×C89C2×D411yescharacteristic
686C22⋊C4×C89C2×D411yescharacteristic
687C22⋊C4×C89C2×D411yescharacteristic
688C22⋊C4×C89C2×D411yescharacteristic
689C22⋊C4×C89C2×D411yescharacteristic
690C22⋊C4×C89C2×D411yescharacteristic
691C22⋊C4×C89C2×D411yescharacteristic
692C42×C89—21no—
693C42×C89—21no—
694C42×C89—21no—
695C42×C89—21no—
696C42×C89—21no—
697C42×C89—21no—
698C42×C89—21no—
699C42×C89—21no—
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—42no—
711C23×C89—42no—
712C23×C89—42no—
713C23×C89—81no—
714C23×C89—81no—
715C23×C89—81no—
716C23×C89C22×D411yescharacteristic
717C23×C89C22×D411yescharacteristic
718C23×C89C22×D411yescharacteristic
719Q8×C89—21no—
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—21no—
730Q8×C89—21no—
731Q8×C89—41no—
732Q8×C89—81no—
733Q8×C89—81no—
734Q8×C89—81no—
735Q8×C89—81no—
736Q8×C89—81no—
737D4×C89—22no—
738D4×C89—22no—
739D4×C89—21no—
740D4×C89—21no—
741D4×C89—21no—
742D4×C89—21no—
743D4×C89—21no—
744D4×C89—21no—
745D4×C89—21no—
746D4×C89—41no—
747D4×C89—42no—
748D4×C89—42no—
749D4×C89—42no—
750D4×C89—42no—
751D4×C89—42no—
752D4×C89—81no—
753D4×C89—81no—
754D4×C89—81no—
755D4×C89—81no—
756D4×C89—81no—
757D4×C89—81no—
758D4×C89—81no—
759D4×C89H(5,𝔽2)12yes—
760C2×C4×C89—22no—
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—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—41no—
780C2×C4×C89—42no—
781C2×C4×C89—42no—
782C2×C4×C89—42no—
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×C89—81no—
792C2×C4×C89—81no—
793C2×C4×C89—81no—
794C2×C4×C89—81no—
795C2×C4×C89—81no—
796C2×C4×C89—81no—
797C2×C4×C89—81no—
798C2×C4×C89C22×D411yescharacteristic
799C2×C4×C89C22×D411yescharacteristic
800C2×C4×C89C22×D411yescharacteristic
801C2×C4×C89C22×D411yescharacteristic
802C2×C4×C89C22×D411yescharacteristic
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×C89C2511yescharacteristic
810C8×C89—21no—
811C8×C89—21no—
812C8×C89—21no—
813C8×C89—21no—
814C8×C89—21no—
815C8×C89—21no—
816C8×C89—21no—
817C8×C89—21no—
818C22×C89—21no—
819C22×C89—21no—
820C22×C89—21no—
821C22×C89—21no—
822C22×C89—21no—
823C22×C89—21no—
824C22×C89—22no—
825C22×C89—21no—
826C22×C89—21no—
827C22×C89—41no—
828C22×C89—41no—
829C22×C89—41no—
830C22×C89—41no—
831C22×C89—41no—
832C22×C89—41no—
833C22×C89—41no—
834C22×C89—41no—
835C22×C89—41no—
836C22×C89—41no—
837C22×C89—41no—
838C22×C89—84no—
839C22×C89—162no—
840C22×C89#57712yes—
841C22×C89C23×D411yescharacteristic
842C4×C89—21no—
843C4×C89—21no—
844C4×C89—21no—
845C4×C89—21no—
846C4×C89—21no—
847C4×C89—21no—
848C4×C89—21no—
849C4×C89—21no—
850C4×C89—21no—
851C4×C89—21no—
852C4×C89—21no—
853C4×C89—41no—
854C4×C89—41no—
855C4×C89—41no—
856C4×C89—41no—
857C4×C89—41no—
858C4×C89—41no—
859C4×C89—41no—
860C4×C89—41no—
861C4×C89—41no—
862C4×C89—41no—
863C4×C89—41no—
864C4×C89—41no—
865C4×C89C2×H(5,𝔽2)11yescharacteristic
866C4×C89#58511yescharacteristic
867#62008C8911yesmaximal, characteristic, direct product factor, Sylow
868C2×C89—22no—
869C2×C89—41no—
870C2×C89—41no—
871C2×C89—42no—
872C2×C89—81no—
873C2×C89—81no—
874C2×C89—81no—
875C2×C89#348811yescharacteristic
876C2×C89C2×#57711yescharacteristic
877C2×C89#358611yescharacteristic
878#3552C2×C8911yescharacteristic, complemented
879#3513C2×C8911yescharacteristic, complemented
880#3401C2×C8911yescharacteristic, complemented
881#3400C2×C8911yescharacteristic, complemented
882#3376C2×C8911yescharacteristic, complemented
883#3372C2×C8911yescharacteristic, complemented
884#3320C2×C8911yescharacteristic, complemented
885#3312C2×C8911yescharacteristic, complemented
886#3308C2×C8911yescharacteristic, complemented
887#3307C2×C8911yescharacteristic, complemented
888#3300C2×C8911yescharacteristic, complemented
889#3298C2×C8911yescharacteristic, complemented
890#3282C2×C8911yescharacteristic, complemented
891D4×SD16C2×C8911yescharacteristic, complemented
892#3267C2×C8911yescharacteristic, complemented
893#3266C2×C8911yescharacteristic, complemented
894#3266C2×C8911yescharacteristic, complemented
895#3265C2×C8911yescharacteristic, complemented
896#3260C2×C8911yescharacteristic, complemented
897#3258C2×C8911yescharacteristic, complemented
898#3250C2×C8911yescharacteristic, complemented
899#3225C2×C8911yescharacteristic, complemented
900#3221C2×C8911yescharacteristic, complemented
901#3218C2×C8911yescharacteristic, complemented
902#3123C2×C8911yescharacteristic, complemented
903#3120C2×C8911yescharacteristic, complemented
904#3114C2×C8911yescharacteristic, complemented
905#3046C2×C8911yescharacteristic, complemented
906#3042C2×C8911yescharacteristic, complemented
907C2×#461C2×C8911yescharacteristic, complemented
908#2992C2×C8911yescharacteristic, complemented
909C89#6200811yescharacteristic, direct product factor, Sylow
910C2×#137C22×C8911yescharacteristic
911C2×AGL(1,ℤ/8)C22×C8911yescharacteristic
912C2×#135C22×C8911yescharacteristic
913C22×SD16C22×C8911yescharacteristic
914C22×SD16C22×C8911yescharacteristic
915C22×SD16C22×C8911yescharacteristic
916#563—21no—
917#563—21no—
918#559C22×C8911yescharacteristic
919#557C22×C8911yescharacteristic, complemented
920#556C22×C8911yescharacteristic, complemented
921#554—21no—
922#554C22×C8911yescharacteristic
923#553—21no—
924#553—21no—
925#553C22×C8911yescharacteristic
926#552C22×C8911yescharacteristic
927#551—21no—
928#551—21no—
929D4×Q8C22×C8911yescharacteristic
930D4×Q8C22×C8911yescharacteristic, complemented
931D4×Q8C22×C8911yescharacteristic, complemented
932#548C22×C8911yescharacteristic
933#548C22×C8911yescharacteristic, complemented
934#547C22×C8911yescharacteristic
935#547C22×C8911yescharacteristic, complemented
936#546—21no—
937#546C22×C8911yescharacteristic
938#546C22×C8911yescharacteristic
939D42C22×C8911yescharacteristic
940#544—21no—
941#542—21no—
942#542C22×C8911yescharacteristic
943#541C22×C8911yescharacteristic, complemented
944#541C22×C8911yescharacteristic, complemented
945#540C22×C8911yescharacteristic
946#539—21no—
947#539—21no—
948#539—21no—
949#538—21no—
950#536C22×C8911yescharacteristic, complemented
951#536C22×C8911yescharacteristic, complemented
952C2×C4⋊Q8C22×C8911yescharacteristic, complemented
953#529C22×C8911yescharacteristic
954#529C22×C8911yescharacteristic
955#529C22×C8911yescharacteristic, complemented
956#525—21no—
957C2×#123—21no—
958#520C22×C8911yescharacteristic
959#518C22×C8911yescharacteristic
960C2×C4×D4C22×C8911yescharacteristic
961#497C22×C8911yescharacteristic, complemented
962#497C22×C8911yescharacteristic, complemented
963#497C22×C8911yescharacteristic, complemented
964#496C22×C8911yescharacteristic
965#495C22×C8911yescharacteristic, complemented
966#492C22×C8911yescharacteristic
967#491C22×C8911yescharacteristic, complemented
968#491C22×C8911yescharacteristic, complemented
969#491C22×C8911yescharacteristic, complemented
970#489C22×C8911yescharacteristic, complemented
971#488C22×C8911yescharacteristic, complemented
972#487C22×C8911yescharacteristic, complemented
973#485C22×C8911yescharacteristic, complemented
974#485C22×C8911yescharacteristic, complemented
975#484C22×C8911yescharacteristic, complemented
976#483C22×C8911yescharacteristic, complemented
977#483C22×C8911yescharacteristic, complemented
978#480C22×C8911yescharacteristic, complemented
979#479C22×C8911yescharacteristic, complemented
980#479C22×C8911yescharacteristic, complemented
981#479C22×C8911yescharacteristic, complemented
982#479C22×C8911yescharacteristic, complemented
983#478C22×C8911yescharacteristic
984#478C22×C8911yescharacteristic, complemented
985#478C22×C8911yescharacteristic, complemented
986#478C22×C8911yescharacteristic, complemented
987#477C22×C8911yescharacteristic, complemented
988#475C22×C8911yescharacteristic, complemented
989#470C22×C8911yescharacteristic, complemented
990#468C22×C8911yescharacteristic
991#468C22×C8911yescharacteristic, complemented
992#468C22×C8911yescharacteristic, complemented
993#467C22×C8911yescharacteristic, complemented
994#467C22×C8911yescharacteristic, complemented
995#466C22×C8911yescharacteristic
996#465C22×C8911yescharacteristic
997#465C22×C8911yescharacteristic
998#465C22×C8911yescharacteristic, complemented
999#465C22×C8911yescharacteristic, complemented
1000#465C22×C8911yescharacteristic, complemented
1001#464C22×C8911yescharacteristic, complemented
1002#464C22×C8911yescharacteristic, complemented
1003#464C22×C8911yescharacteristic, complemented
1004#464C22×C8911yescharacteristic, complemented
1005#464C22×C8911yescharacteristic, complemented
1006#463C22×C8911yescharacteristic
1007#463C22×C8911yescharacteristic
1008#463C22×C8911yescharacteristic
1009#463C22×C8911yescharacteristic, complemented
1010#463C22×C8911yescharacteristic, complemented
1011#463C22×C8911yescharacteristic, complemented
1012#463C22×C8911yescharacteristic, complemented
1013#462C22×C8911yescharacteristic, complemented
1014#462C22×C8911yescharacteristic, complemented
1015#462C22×C8911yescharacteristic, complemented
1016#461C22×C8911yescharacteristic
1017#461C22×C8911yescharacteristic
1018#461C22×C8911yescharacteristic
1019#461C22×C8911yescharacteristic
1020#461C22×C8911yescharacteristic
1021#461C22×C8911yescharacteristic
1022#461C22×C8911yescharacteristic, complemented
1023#461C22×C8911yescharacteristic, complemented
1024#461C22×C8911yescharacteristic, complemented
1025#461C22×C8911yescharacteristic, complemented
1026#461C22×C8911yescharacteristic, complemented
1027#461C22×C8911yescharacteristic, complemented
1028#461C22×C8911yescharacteristic, complemented
1029#460C22×C8911yescharacteristic
1030#460C22×C8911yescharacteristic
1031#452C22×C8911yescharacteristic
1032#452C22×C8911yescharacteristic
1033#452C22×C8911yescharacteristic, complemented
1034#451C22×C8911yescharacteristic, complemented
1035#451C22×C8911yescharacteristic, complemented
1036#451C22×C8911yescharacteristic, complemented
1037#450C22×C8911yescharacteristic
1038#450C22×C8911yescharacteristic
1039#450C22×C8911yescharacteristic
1040#449C22×C8911yescharacteristic
1041#449C22×C8911yescharacteristic, complemented
1042#449C22×C8911yescharacteristic, complemented
1043#448C22×C8911yescharacteristic
1044#448C22×C8911yescharacteristic
1045#448C22×C8911yescharacteristic
1046#448C22×C8911yescharacteristic, complemented
1047#448C22×C8911yescharacteristic, complemented
1048#447C22×C8911yescharacteristic
1049#446C22×C8911yescharacteristic, complemented
1050#446C22×C8911yescharacteristic, complemented
1051#442C22×C8911yescharacteristic
1052#442C22×C8911yescharacteristic, complemented
1053#441C22×C8911yescharacteristic, complemented
1054#440C22×C8911yescharacteristic
1055#440C22×C8911yescharacteristic
1056#440C22×C8911yescharacteristic
1057#440C22×C8911yescharacteristic, complemented
1058#440C22×C8911yescharacteristic, complemented
1059C4×Q16C22×C8911yescharacteristic, complemented
1060C4×SD16C22×C8911yescharacteristic
1061C4×SD16C22×C8911yescharacteristic
1062C4×SD16C22×C8911yescharacteristic, complemented
1063#435C22×C8911yescharacteristic
1064#435C22×C8911yescharacteristic, complemented
1065#435C22×C8911yescharacteristic, complemented
1066#435C22×C8911yescharacteristic, complemented
1067C8×D4C22×C8911yescharacteristic
1068C8×D4C22×C8911yescharacteristic, complemented
1069#433C22×C8911yescharacteristic, complemented
1070#433C22×C8911yescharacteristic, complemented
1071#432C22×C8911yescharacteristic, complemented
1072#424C22×C8911yescharacteristic, complemented
1073#424C22×C8911yescharacteristic, complemented
1074C2×C4⋊C8C22×C8911yescharacteristic, complemented
1075#419C22×C8911yescharacteristic, complemented
1076#417C22×C8911yescharacteristic, complemented
1077#416C22×C8911yescharacteristic, complemented
1078C2×#103C22×C8911yescharacteristic, complemented
1079C2×#103C22×C8911yescharacteristic, complemented
1080C2×#103C22×C8911yescharacteristic, complemented
1081C2×#41—21no—
1082C2×#41C23×C8911yescharacteristic
1083C2×#41C23×C8911yescharacteristic
1084C2×#41C23×C8911yescharacteristic
1085C22×Q8C23×C8911yescharacteristic
1086C22×Q8C23×C8911yescharacteristic
1087C22×Q8C23×C8911yescharacteristic
1088C22×Q8C23×C8911yescharacteristic
1089C22×D4—21no—
1090C22×D4C23×C8911yescharacteristic
1091C22×D4C23×C8911yescharacteristic
1092C23×C4—21no—
1093#137—42no—
1094AGL(1,ℤ/8)—42no—
1095#135—42no—
1096C2×Q16C23×C8911yescharacteristic
1097C2×Q16C23×C8911yescharacteristic
1098C2×Q16C23×C8911yescharacteristic
1099C2×Q16C23×C8911yescharacteristic
1100C2×Q16C23×C8911yescharacteristic
1101C2×SD16—42no—
1102C2×SD16—42no—
1103C2×SD16—42no—
1104C2×SD16C23×C8911yescharacteristic
1105C2×SD16C23×C8911yescharacteristic
1106C2×SD16C23×C8911yescharacteristic
1107C2×SD16C23×C8911yescharacteristic
1108C2×SD16C23×C8911yescharacteristic
1109C2×SD16C23×C8911yescharacteristic
1110C2×SD16C23×C8911yescharacteristic
1111C2×SD16C23×C8911yescharacteristic
1112C2×SD16C23×C8911yescharacteristic
1113C2×SD16C23×C8911yescharacteristic
1114C2×SD16C23×C8911yescharacteristic
1115C2×SD16C23×C8911yescharacteristic
1116C2×SD16C23×C8911yescharacteristic
1117C2×SD16C23×C8911yescharacteristic
1118C2×SD16C23×C8911yescharacteristic
1119C2×SD16C23×C8911yescharacteristic
1120C2×D8C23×C8911yescharacteristic
1121C2×D8C23×C8911yescharacteristic
1122C2×D8C23×C8911yescharacteristic
1123C2×M16C23×C8911yescharacteristic
1124C2×M16C23×C8911yescharacteristic
1125C22×C8C23×C8911yescharacteristic
1126C22×C8C23×C8911yescharacteristic
1127C22×C8C23×C8911yescharacteristic
1128C22×C8C23×C8911yescharacteristic
1129C4⋊Q8—21no—
1130C4⋊Q8—21no—
1131C4⋊Q8—21no—
1132C4⋊Q8—21no—
1133C4⋊Q8—21no—
1134C4⋊Q8C23×C8911yescharacteristic
1135C4⋊Q8C23×C8911yescharacteristic
1136C4⋊Q8C23×C8911yescharacteristic
1137C4⋊Q8C23×C8911yescharacteristic
1138C4⋊Q8C23×C8911yescharacteristic
1139C4⋊Q8C23×C8911yescharacteristic
1140C4⋊Q8C23×C8911yescharacteristic
1141#127C23×C8911yescharacteristic
1142#126—21no—
1143#126—21no—
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#126D4×C8911yescharacteristic
1154#126D4×C8911yescharacteristic
1155#125—21no—
1156#125—21no—
1157#125—21no—
1158#125—21no—
1159#125—21no—
1160#125—21no—
1161#125—21no—
1162#125—21no—
1163#125D4×C8911yescharacteristic
1164#125C23×C8911yescharacteristic
1165#125C23×C8911yescharacteristic
1166#125C23×C8911yescharacteristic
1167#124—21no—
1168#124—21no—
1169#124—21no—
1170#124—21no—
1171#124D4×C8911yescharacteristic
1172#124C23×C8911yescharacteristic
1173#124C23×C8911yescharacteristic
1174#124C23×C8911yescharacteristic
1175#124C23×C8911yescharacteristic
1176#124C23×C8911yescharacteristic
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#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—
1194#123—21no—
1195#123—21no—
1196#123D4×C8911yescharacteristic
1197#123D4×C8911yescharacteristic
1198C22⋊Q8—21no—
1199C22⋊Q8—21no—
1200C22⋊Q8—21no—
1201C22⋊Q8—21no—
1202C22⋊Q8—21no—
1203C22⋊Q8—21no—
1204C22⋊Q8—21no—
1205C22⋊Q8—21no—
1206C22⋊Q8—21no—
1207C22⋊Q8—21no—
1208C22⋊Q8—21no—
1209C22⋊Q8—21no—
1210C22⋊Q8—21no—
1211C22⋊Q8—21no—
1212C22⋊Q8—21no—
1213C22⋊Q8—21no—
1214C22⋊Q8—21no—
1215C22⋊Q8—21no—
1216C22⋊Q8D4×C8911yescharacteristic
1217C22⋊Q8C23×C8911yescharacteristic
1218C22⋊Q8C23×C8911yescharacteristic
1219C22⋊Q8C23×C8911yescharacteristic
1220C22⋊Q8C23×C8911yescharacteristic
1221C22⋊Q8C23×C8911yescharacteristic
1222C22⋊Q8C23×C8911yescharacteristic
1223C22⋊Q8C23×C8911yescharacteristic
1224#121—21no—
1225#121—21no—
1226#121—21no—
1227#121—21no—
1228#121—21no—
1229#121—21no—
1230#121—21no—
1231#121—21no—
1232#121—21no—
1233#121D4×C8911yescharacteristic
1234#121C23×C8911yescharacteristic
1235#121C23×C8911yescharacteristic
1236#121C23×C8911yescharacteristic
1237#121C23×C8911yescharacteristic
1238#121C23×C8911yescharacteristic
1239#120—21no—
1240#120—21no—
1241#120—21no—
1242#120—21no—
1243C4×Q8—21no—
1244C4×Q8C23×C8911yescharacteristic
1245C4×Q8C23×C8911yescharacteristic
1246C4×Q8C23×C8911yescharacteristic
1247C4×Q8C23×C8911yescharacteristic
1248C4×Q8C23×C8911yescharacteristic
1249C4×Q8C23×C8911yescharacteristic
1250C4×Q8C23×C8911yescharacteristic
1251C4×Q8C23×C8911yescharacteristic
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×D4C23×C8911yescharacteristic
1268C4×D4C23×C8911yescharacteristic
1269C4×D4C23×C8911yescharacteristic
1270C4×D4C23×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
1279#117—21no—
1280#117—21no—
1281#117—21no—
1282#117—21no—
1283#117—21no—
1284#117C23×C8911yescharacteristic
1285#117C23×C8911yescharacteristic
1286#117C23×C8911yescharacteristic
1287C2×C4⋊C4—21no—
1288C2×C4⋊C4—21no—
1289C2×C4⋊C4—21no—
1290C2×C4⋊C4—21no—
1291C2×C4⋊C4—21no—
1292C2×C4⋊C4C23×C8911yescharacteristic
1293C2×C4⋊C4C23×C8911yescharacteristic
1294C2×C22⋊C4—21no—
1295C2×C22⋊C4—21no—
1296C2×C22⋊C4—21no—
1297C2×C22⋊C4—21no—
1298C2×C22⋊C4—21no—
1299C2×C42C23×C8911yescharacteristic
1300#107C23×C8911yescharacteristic
1301#107C23×C8911yescharacteristic
1302#107C23×C8911yescharacteristic
1303#107C23×C8911yescharacteristic
1304#106C23×C8911yescharacteristic
1305#106C23×C8911yescharacteristic
1306#106C23×C8911yescharacteristic
1307#106C23×C8911yescharacteristic
1308C4⋊C8C23×C8911yescharacteristic
1309C4⋊C8C23×C8911yescharacteristic
1310C4⋊C8C23×C8911yescharacteristic
1311C4⋊C8C23×C8911yescharacteristic
1312C4⋊C8C23×C8911yescharacteristic
1313C4⋊C8C23×C8911yescharacteristic
1314C4⋊C8C23×C8911yescharacteristic
1315C4⋊C8C23×C8911yescharacteristic
1316C4⋊C8C23×C8911yescharacteristic
1317C4⋊C8C23×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#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#102C23×C8911yescharacteristic
1341#102C23×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
1350C22⋊C8C23×C8911yescharacteristic
1351C22⋊C8C23×C8911yescharacteristic
1352C22⋊C8C23×C8911yescharacteristic
1353C22⋊C8C23×C8911yescharacteristic
1354C22⋊C8C23×C8911yescharacteristic
1355C22⋊C8C23×C8911yescharacteristic
1356#97C23×C8911yescharacteristic
1357#97C23×C8911yescharacteristic
1358#97C23×C8911yescharacteristic
1359#97C23×C8911yescharacteristic
1360C4×C8C23×C8911yescharacteristic
1361C4×C8C23×C8911yescharacteristic
1362C24—21no—
1363C24—21no—
1364#41—22no—
1365#41—41no—
1366#41—41no—
1367#41—41no—
1368#41—41no—
1369#41—41no—
1370#41—82no—
1371C2×Q8—21no—
1372C2×Q8—21no—
1373C2×Q8—21no—
1374C2×Q8—21no—
1375C2×Q8—21no—
1376C2×Q8—41no—
1377C2×Q8—41no—
1378C2×Q8—41no—
1379C2×Q8—41no—
1380C2×Q8—41no—
1381C2×Q8—41no—
1382C2×Q8—41no—
1383C2×Q8—41no—
1384C2×Q8C2×D4×C8911yescharacteristic
1385C2×Q8C24×C8911yescharacteristic
1386C2×Q8C24×C8911yescharacteristic
1387C2×Q8C24×C8911yescharacteristic
1388C2×Q8C24×C8911yescharacteristic
1389C2×Q8C24×C8911yescharacteristic
1390C2×Q8C24×C8911yescharacteristic
1391C2×D4—22no—
1392C2×D4—22no—
1393C2×D4—21no—
1394C2×D4—21no—
1395C2×D4—21no—
1396C2×D4—21no—
1397C2×D4—21no—
1398C2×D4—21no—
1399C2×D4—21no—
1400C2×D4—21no—
1401C2×D4—21no—
1402C2×D4—21no—
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—41no—
1406C2×D4—41no—
1407C2×D4—82no—
1408C2×D4C2×D4×C8911yescharacteristic
1409C2×D4C2×D4×C8911yescharacteristic
1410C2×D4C2×D4×C8911yescharacteristic
1411C2×D4C24×C8911yescharacteristic
1412C2×D4C24×C8911yescharacteristic
1413C2×D4C24×C8911yescharacteristic
1414C2×D4C24×C8911yescharacteristic
1415C22×C4—21no—
1416C22×C4—21no—
1417C22×C4—21no—
1418C22×C4—21no—
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—21no—
1423C22×C4—21no—
1424C22×C4—21no—
1425C22×C4—21no—
1426C22×C4—21no—
1427C22×C4—21no—
1428C22×C4—21no—
1429C22×C4—21no—
1430C22×C4—21no—
1431C22×C4—21no—
1432C22×C4—21no—
1433C22×C4—82no—
1434C22×C4C2×D4×C8911yescharacteristic
1435C22×C4C2×D4×C8911yescharacteristic
1436C22×C4C24×C8911yescharacteristic
1437C22×C4C24×C8911yescharacteristic
1438C22×C4C24×C8911yescharacteristic
1439Q16—41no—
1440Q16—41no—
1441Q16—41no—
1442Q16—41no—
1443Q16—41no—
1444SD16—22no—
1445SD16—22no—
1446SD16—22no—
1447SD16—22no—
1448SD16—22no—
1449SD16—41no—
1450SD16—41no—
1451SD16—41no—
1452SD16—41no—
1453SD16—41no—
1454SD16—41no—
1455SD16—41no—
1456SD16—41no—
1457SD16—41no—
1458SD16—41no—
1459SD16—41no—
1460D8—22no—
1461D8—41no—
1462D8—41no—
1463M16—41no—
1464M16—41no—
1465C2×C8—41no—
1466C2×C8—41no—
1467C2×C8—41no—
1468C2×C8—41no—
1469C2×C8C24×C8911yescharacteristic
1470C2×C8C24×C8911yescharacteristic
1471C2×C8C24×C8911yescharacteristic
1472C2×C8C24×C8911yescharacteristic
1473C2×C8C24×C8911yescharacteristic
1474C2×C8C24×C8911yescharacteristic
1475C2×C8C24×C8911yescharacteristic
1476C2×C8C24×C8911yescharacteristic
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⋊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⋊C4C2×D4×C8911yescharacteristic
1513C4⋊C4C2×D4×C8911yescharacteristic
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⋊C4C2×D4×C8911yescharacteristic
1521C4⋊C4C2×D4×C8911yescharacteristic
1522C4⋊C4C24×C8911yescharacteristic
1523C4⋊C4C24×C8911yescharacteristic
1524C4⋊C4C24×C8911yescharacteristic
1525C4⋊C4C24×C8911yescharacteristic
1526C4⋊C4C24×C8911yescharacteristic
1527C4⋊C4C24×C8911yescharacteristic
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⋊C4C2×D4×C8911yescharacteristic
1561C22⋊C4C2×D4×C8911yescharacteristic
1562C22⋊C4C2×D4×C8911yescharacteristic
1563C22⋊C4C2×D4×C8911yescharacteristic
1564C22⋊C4C2×D4×C8911yescharacteristic
1565C22⋊C4C2×D4×C8911yescharacteristic
1566C22⋊C4C2×D4×C8911yescharacteristic
1567C22⋊C4C2×D4×C8911yescharacteristic
1568C22⋊C4C2×D4×C8911yescharacteristic
1569C22⋊C4C2×D4×C8911yescharacteristic
1570C42—21no—
1571C42—21no—
1572C42—21no—
1573C42—21no—
1574C42—21no—
1575C42—21no—
1576C42—21no—
1577C42—21no—
1578C42C2×D4×C8911yescharacteristic
1579C42C2×D4×C8911yescharacteristic
1580C42C24×C8911yescharacteristic
1581C42C24×C8911yescharacteristic
1582C42C24×C8911yescharacteristic
1583C42C24×C8911yescharacteristic
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—42no—
1589C23—42no—
1590C23—42no—
1591C23—81no—
1592C23—81no—
1593C23—81no—
1594C23C22×D4×C8911yescharacteristic
1595C23C22×D4×C8911yescharacteristic
1596C23C22×D4×C8911yescharacteristic
1597Q8—21no—
1598Q8—21no—
1599Q8—21no—
1600Q8—21no—
1601Q8—21no—
1602Q8—21no—
1603Q8—21no—
1604Q8—21no—
1605Q8—21no—
1606Q8—21no—
1607Q8—21no—
1608Q8—21no—
1609Q8—41no—
1610Q8—81no—
1611Q8—81no—
1612Q8—81no—
1613Q8—81no—
1614Q8—81no—
1615D4—22no—
1616D4—22no—
1617D4—21no—
1618D4—21no—
1619D4—21no—
1620D4—21no—
1621D4—21no—
1622D4—21no—
1623D4—21no—
1624D4—41no—
1625D4—42no—
1626D4—42no—
1627D4—42no—
1628D4—42no—
1629D4—42no—
1630D4—81no—
1631D4—81no—
1632D4—81no—
1633D4—81no—
1634D4—81no—
1635D4—81no—
1636D4—81no—
1637D4H(5,𝔽2)×C8912yes—
1638C2×C4—22no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—41no—
1658C2×C4—42no—
1659C2×C4—42no—
1660C2×C4—42no—
1661C2×C4—81no—
1662C2×C4—81no—
1663C2×C4—81no—
1664C2×C4—81no—
1665C2×C4—81no—
1666C2×C4—81no—
1667C2×C4—81no—
1668C2×C4—81no—
1669C2×C4—81no—
1670C2×C4—81no—
1671C2×C4—81no—
1672C2×C4—81no—
1673C2×C4—81no—
1674C2×C4—81no—
1675C2×C4—81no—
1676C2×C4C22×D4×C8911yescharacteristic
1677C2×C4C22×D4×C8911yescharacteristic
1678C2×C4C22×D4×C8911yescharacteristic
1679C2×C4C22×D4×C8911yescharacteristic
1680C2×C4C22×D4×C8911yescharacteristic
1681C2×C4C22×D4×C8911yescharacteristic
1682C2×C4C22×D4×C8911yescharacteristic
1683C2×C4C22×D4×C8911yescharacteristic
1684C2×C4C22×D4×C8911yescharacteristic
1685C2×C4C22×D4×C8911yescharacteristic
1686C2×C4C22×D4×C8911yescharacteristic
1687C2×C4C25×C8911yescharacteristic
1688C8—21no—
1689C8—21no—
1690C8—21no—
1691C8—21no—
1692C8—21no—
1693C8—21no—
1694C8—21no—
1695C8—21no—
1696C22—21no—
1697C22—21no—
1698C22—21no—
1699C22—21no—
1700C22—21no—
1701C22—21no—
1702C22—21no—
1703C22—21no—
1704C22—22no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—84no—
1717C22—162no—
1718C22#577×C8912yes—
1719C22C23×D4×C8911yescharacteristic
1720C4—21no—
1721C4—21no—
1722C4—21no—
1723C4—21no—
1724C4—21no—
1725C4—21no—
1726C4—21no—
1727C4—21no—
1728C4—21no—
1729C4—21no—
1730C4—21no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—41no—
1737C4—41no—
1738C4—41no—
1739C4—41no—
1740C4—41no—
1741C4—41no—
1742C4—41no—
1743C4C2×H(5,𝔽2)×C8911yescharacteristic
1744C4#585×C8911yescharacteristic
1745C2—22no—
1746C2—41no—
1747C2—41no—
1748C2—42no—
1749C2—81no—
1750C2—81no—
1751C2—81no—
1752C2C89×#348811yescharacteristic
1753C2C2×#577×C8911yescharacteristic
1754C2C89×#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×#3552C2semidirect
2. C89×#3513C2semidirect
3. C89×#3401C2semidirect
4. C89×#3400C2semidirect
5. C89×#3376C2semidirect
6. C89×#3372C2semidirect
7. C89×#3320C2semidirect
8. C89×#3312C2semidirect
9. C89×#3308C2semidirect
10. C89×#3307C2semidirect
11. C89×#3300C2semidirect
12. C89×#3298C2semidirect
13. C89×#3282C2semidirect
14. D4×SD16×C89C2semidirect
15. C89×#3267C2semidirect
16. C89×#3266C2semidirect
17. C89×#3266C2semidirect
18. C89×#3265C2semidirect
19. C89×#3260C2semidirect
20. C89×#3258C2semidirect
21. C89×#3250C2semidirect
22. C89×#3225C2semidirect
23. C89×#3221C2semidirect
24. C89×#3218C2semidirect
25. C89×#3123C2semidirect
26. C89×#3120C2semidirect
27. C89×#3114C2semidirect
28. C89×#3046C2semidirect
29. C89×#3042C2semidirect
30. C2×#461×C89C2semidirect
31. C89×#2992C2semidirect
41. #557×C89C22semidirect
42. #556×C89C22semidirect
52. D4×Q8×C89C22semidirect
53. D4×Q8×C89C22semidirect
55. #548×C89C22semidirect
57. #547×C89C22semidirect
65. #541×C89C22semidirect
66. #541×C89C22semidirect
72. #536×C89C22semidirect
73. #536×C89C22semidirect
74. C2×C4⋊Q8×C89C22semidirect
77. #529×C89C22semidirect
83. #497×C89C22semidirect
84. #497×C89C22semidirect
85. #497×C89C22semidirect
87. #495×C89C22semidirect
89. #491×C89C22semidirect
90. #491×C89C22semidirect
91. #491×C89C22semidirect
92. #489×C89C22semidirect
93. #488×C89C22semidirect
94. #487×C89C22semidirect
95. #485×C89C22semidirect
96. #485×C89C22semidirect
97. #484×C89C22semidirect
98. #483×C89C22semidirect
99. #483×C89C22semidirect
100. #480×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. #475×C89C22semidirect
111. #470×C89C22semidirect
113. #468×C89C22semidirect
114. #468×C89C22semidirect
115. #467×C89C22semidirect
116. #467×C89C22semidirect
120. #465×C89C22semidirect
121. #465×C89C22semidirect
122. #465×C89C22semidirect
123. #464×C89C22semidirect
124. #464×C89C22semidirect
125. #464×C89C22semidirect
126. #464×C89C22semidirect
127. #464×C89C22semidirect
131. #463×C89C22semidirect
132. #463×C89C22semidirect
133. #463×C89C22semidirect
134. #463×C89C22semidirect
135. #462×C89C22semidirect
136. #462×C89C22semidirect
137. #462×C89C22semidirect
144. #461×C89C22semidirect
145. #461×C89C22semidirect
146. #461×C89C22semidirect
147. #461×C89C22semidirect
148. #461×C89C22semidirect
149. #461×C89C22semidirect
150. #461×C89C22semidirect
155. #452×C89C22semidirect
156. #451×C89C22semidirect
157. #451×C89C22semidirect
158. #451×C89C22semidirect
163. #449×C89C22semidirect
164. #449×C89C22semidirect
168. #448×C89C22semidirect
169. #448×C89C22semidirect
171. #446×C89C22semidirect
172. #446×C89C22semidirect
174. #442×C89C22semidirect
175. #441×C89C22semidirect
179. #440×C89C22semidirect
180. #440×C89C22semidirect
181. C4×Q16×C89C22semidirect
184. C4×SD16×C89C22semidirect
186. #435×C89C22semidirect
187. #435×C89C22semidirect
188. #435×C89C22semidirect
190. C8×D4×C89C22semidirect
191. #433×C89C22semidirect
192. #433×C89C22semidirect
193. #432×C89C22semidirect
194. #424×C89C22semidirect
195. #424×C89C22semidirect
196. C2×C4⋊C8×C89C22semidirect
197. #419×C89C22semidirect
198. #417×C89C22semidirect
199. #416×C89C22semidirect
200. C2×#103×C89C22semidirect
201. C2×#103×C89C22semidirect
202. C2×#103×C89C22semidirect
867. #62008C89direct (N × H)
878. #3552C2×C89semidirect
879. #3513C2×C89semidirect
880. #3401C2×C89semidirect
881. #3400C2×C89semidirect
882. #3376C2×C89semidirect
883. #3372C2×C89semidirect
884. #3320C2×C89semidirect
885. #3312C2×C89semidirect
886. #3308C2×C89semidirect
887. #3307C2×C89semidirect
888. #3300C2×C89semidirect
889. #3298C2×C89semidirect
890. #3282C2×C89semidirect
891. D4×SD16C2×C89semidirect
892. #3267C2×C89semidirect
893. #3266C2×C89semidirect
894. #3266C2×C89semidirect
895. #3265C2×C89semidirect
896. #3260C2×C89semidirect
897. #3258C2×C89semidirect
898. #3250C2×C89semidirect
899. #3225C2×C89semidirect
900. #3221C2×C89semidirect
901. #3218C2×C89semidirect
902. #3123C2×C89semidirect
903. #3120C2×C89semidirect
904. #3114C2×C89semidirect
905. #3046C2×C89semidirect
906. #3042C2×C89semidirect
907. C2×#461C2×C89semidirect
908. #2992C2×C89semidirect
909. C89#62008direct (N × H)
919. #557C22×C89semidirect
920. #556C22×C89semidirect
930. D4×Q8C22×C89semidirect
931. D4×Q8C22×C89semidirect
933. #548C22×C89semidirect
935. #547C22×C89semidirect
943. #541C22×C89semidirect
944. #541C22×C89semidirect
950. #536C22×C89semidirect
951. #536C22×C89semidirect
952. C2×C4⋊Q8C22×C89semidirect
955. #529C22×C89semidirect
961. #497C22×C89semidirect
962. #497C22×C89semidirect
963. #497C22×C89semidirect
965. #495C22×C89semidirect
967. #491C22×C89semidirect
968. #491C22×C89semidirect
969. #491C22×C89semidirect
970. #489C22×C89semidirect
971. #488C22×C89semidirect
972. #487C22×C89semidirect
973. #485C22×C89semidirect
974. #485C22×C89semidirect
975. #484C22×C89semidirect
976. #483C22×C89semidirect
977. #483C22×C89semidirect
978. #480C22×C89semidirect
979. #479C22×C89semidirect
980. #479C22×C89semidirect
981. #479C22×C89semidirect
982. #479C22×C89semidirect
984. #478C22×C89semidirect
985. #478C22×C89semidirect
986. #478C22×C89semidirect
987. #477C22×C89semidirect
988. #475C22×C89semidirect
989. #470C22×C89semidirect
991. #468C22×C89semidirect
992. #468C22×C89semidirect
993. #467C22×C89semidirect
994. #467C22×C89semidirect
998. #465C22×C89semidirect
999. #465C22×C89semidirect
1000. #465C22×C89semidirect
1001. #464C22×C89semidirect
1002. #464C22×C89semidirect
1003. #464C22×C89semidirect
1004. #464C22×C89semidirect
1005. #464C22×C89semidirect
1009. #463C22×C89semidirect
1010. #463C22×C89semidirect
1011. #463C22×C89semidirect
1012. #463C22×C89semidirect
1013. #462C22×C89semidirect
1014. #462C22×C89semidirect
1015. #462C22×C89semidirect
1022. #461C22×C89semidirect
1023. #461C22×C89semidirect
1024. #461C22×C89semidirect
1025. #461C22×C89semidirect
1026. #461C22×C89semidirect
1027. #461C22×C89semidirect
1028. #461C22×C89semidirect
1033. #452C22×C89semidirect
1034. #451C22×C89semidirect
1035. #451C22×C89semidirect
1036. #451C22×C89semidirect
1041. #449C22×C89semidirect
1042. #449C22×C89semidirect
1046. #448C22×C89semidirect
1047. #448C22×C89semidirect
1049. #446C22×C89semidirect
1050. #446C22×C89semidirect
1052. #442C22×C89semidirect
1053. #441C22×C89semidirect
1057. #440C22×C89semidirect
1058. #440C22×C89semidirect
1059. C4×Q16C22×C89semidirect
1062. C4×SD16C22×C89semidirect
1064. #435C22×C89semidirect
1065. #435C22×C89semidirect
1066. #435C22×C89semidirect
1068. C8×D4C22×C89semidirect
1069. #433C22×C89semidirect
1070. #433C22×C89semidirect
1071. #432C22×C89semidirect
1072. #424C22×C89semidirect
1073. #424C22×C89semidirect
1074. C2×C4⋊C8C22×C89semidirect
1075. #419C22×C89semidirect
1076. #417C22×C89semidirect
1077. #416C22×C89semidirect
1078. C2×#103C22×C89semidirect
1079. C2×#103C22×C89semidirect
1080. C2×#103C22×C89semidirect

Maximal subgroups

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

subgroupindex
C89×#35522
C89×#35132
C89×#34012
C89×#34002
C89×#33762
C89×#33722
C89×#33202
C89×#33122
C89×#33082
C89×#33072
C89×#33002
C89×#32982
C89×#32822
D4×SD16×C892
C89×#32672
C89×#32662
C89×#32652
C89×#32602
C89×#32582
C89×#32502
C89×#32252
C89×#32212
C89×#32182
C89×#31232
C89×#31202
C89×#31142
C89×#30462
C89×#30422
C2×#461×C892
C89×#29922
#6200889