Finite Group Databasebeta

← C89×#62014 #36439862

Subgroups — C89×#62014 #36439862

Order 22784.

1846 conjugacy classes of subgroups.

The subgroup lattice has 1786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C89×#3562C211yesmaximal, characteristic, complemented
2C89×#3517C211yesmaximal, characteristic, complemented
3C89×#3399C211yesmaximal, characteristic, complemented
4C89×#3397C211yesmaximal, characteristic, complemented
5C89×#3377C211yesmaximal, characteristic, complemented
6C89×#3371C211yesmaximal, characteristic, complemented
7C89×#3309C211yesmaximal, characteristic, complemented
8C89×#3308C211yesmaximal, characteristic, complemented
9C89×#3307C211yesmaximal, characteristic, complemented
10C89×#3306C211yesmaximal, characteristic, complemented
11C89×#3301C211yesmaximal, characteristic, complemented
12C89×#3297C211yesmaximal, characteristic, complemented
13C89×#3287C211yesmaximal, characteristic, complemented
14C89×#3284C211yesmaximal, characteristic, complemented
15C89×#3271C211yesmaximal, characteristic, complemented
16C89×#3271C211yesmaximal, characteristic, complemented
17C89×#3268C211yesmaximal, characteristic, complemented
18C89×#3268C211yesmaximal, characteristic, complemented
19C89×#3260C211yesmaximal, characteristic, complemented
20C89×#3259C211yesmaximal, characteristic, complemented
21C89×#3247C211yesmaximal, characteristic, complemented
22C89×#3221C211yesmaximal, characteristic, complemented
23C89×#3220C211yesmaximal, characteristic, complemented
24C89×#3214C211yesmaximal, 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#553×C89—21no—
44#553×C89—21no—
45#553×C89—21no—
46#553×C89C2211yescharacteristic
47#553×C89C2211yescharacteristic, complemented
48#551×C89—21no—
49#550×C89—21no—
50#550×C89C2211yescharacteristic
51#550×C89C2211yescharacteristic
52#550×C89C2211yescharacteristic
53#550×C89C2211yescharacteristic, complemented
54#550×C89C2211yescharacteristic, complemented
55#548×C89C2211yescharacteristic
56#548×C89C2211yescharacteristic
57#547×C89—21no—
58#547×C89C2211yescharacteristic
59#547×C89C2211yescharacteristic
60#546×C89C2211yescharacteristic
61#546×C89C2211yescharacteristic
62#541×C89C2211yescharacteristic
63#540×C89—21no—
64#540×C89—21no—
65#540×C89—21no—
66#540×C89C2211yescharacteristic
67#540×C89C2211yescharacteristic
68#540×C89C2211yescharacteristic, complemented
69#539×C89—21no—
70#538×C89—21no—
71#538×C89—21no—
72#536×C89C2211yescharacteristic
73#535×C89C2211yescharacteristic
74#532×C89—21no—
75#532×C89C2211yescharacteristic
76#532×C89C2211yescharacteristic, complemented
77#529×C89—21no—
78#529×C89C2211yescharacteristic
79#529×C89C2211yescharacteristic
80#520×C89C2211yescharacteristic
81#520×C89C2211yescharacteristic, complemented
82C4×#41×C89C2211yescharacteristic, complemented
83#496×C89C2211yescharacteristic
84#496×C89C2211yescharacteristic
85#496×C89C2211yescharacteristic
86#496×C89C2211yescharacteristic, complemented
87#493×C89C2211yescharacteristic
88#492×C89C2211yescharacteristic, complemented
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
100#480×C89C2211yescharacteristic, complemented
101#479×C89C2211yescharacteristic, complemented
102#479×C89C2211yescharacteristic, complemented
103#479×C89C2211yescharacteristic, complemented
104#478×C89C2211yescharacteristic
105#478×C89C2211yescharacteristic, complemented
106#478×C89C2211yescharacteristic, complemented
107#478×C89C2211yescharacteristic, complemented
108#478×C89C2211yescharacteristic, complemented
109#477×C89C2211yescharacteristic, complemented
110#476×C89C2211yescharacteristic
111#469×C89C2211yescharacteristic
112#469×C89C2211yescharacteristic, complemented
113#468×C89C2211yescharacteristic
114#468×C89C2211yescharacteristic
115#466×C89C2211yescharacteristic
116#466×C89C2211yescharacteristic
117#466×C89C2211yescharacteristic
118#466×C89C2211yescharacteristic, complemented
119#465×C89C2211yescharacteristic
120#465×C89C2211yescharacteristic
121#465×C89C2211yescharacteristic, complemented
122#465×C89C2211yescharacteristic, complemented
123#464×C89C2211yescharacteristic
124#464×C89C2211yescharacteristic
125#464×C89C2211yescharacteristic
126#464×C89C2211yescharacteristic
127#464×C89C2211yescharacteristic, complemented
128#463×C89C2211yescharacteristic
129#463×C89C2211yescharacteristic
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#461×C89C2211yescharacteristic, complemented
138#461×C89C2211yescharacteristic, complemented
139#461×C89C2211yescharacteristic, complemented
140#461×C89C2211yescharacteristic, complemented
141#460×C89C2211yescharacteristic
142#460×C89C2211yescharacteristic
143#460×C89C2211yescharacteristic, complemented
144#460×C89C2211yescharacteristic, complemented
145#460×C89C2211yescharacteristic, complemented
146#459×C89C2211yescharacteristic
147#459×C89C2211yescharacteristic
148#459×C89C2211yescharacteristic
149#459×C89C2211yescharacteristic
150#459×C89C2211yescharacteristic
151#459×C89C2211yescharacteristic
152#459×C89C2211yescharacteristic, complemented
153#452×C89C2211yescharacteristic
154#452×C89C2211yescharacteristic
155#452×C89C2211yescharacteristic, complemented
156#449×C89C2211yescharacteristic
157#449×C89C2211yescharacteristic
158#449×C89C2211yescharacteristic
159#449×C89C2211yescharacteristic
160#449×C89C2211yescharacteristic
161#449×C89C2211yescharacteristic
162#449×C89C2211yescharacteristic
163#449×C89C2211yescharacteristic
164#449×C89C2211yescharacteristic, complemented
165#449×C89C2211yescharacteristic, complemented
166#449×C89C2211yescharacteristic, complemented
167#448×C89C2211yescharacteristic, complemented
168#448×C89C2211yescharacteristic, complemented
169#447×C89C2211yescharacteristic
170#447×C89C2211yescharacteristic
171#446×C89C2211yescharacteristic, complemented
172#446×C89C2211yescharacteristic, complemented
173#442×C89C2211yescharacteristic
174#442×C89C2211yescharacteristic, complemented
175#441×C89C2211yescharacteristic, complemented
176#441×C89C2211yescharacteristic, complemented
177#440×C89C2211yescharacteristic
178#440×C89C2211yescharacteristic
179#440×C89C2211yescharacteristic, complemented
180#440×C89C2211yescharacteristic, complemented
181C4×Q16×C89C2211yescharacteristic, complemented
182C4×SD16×C89C2211yescharacteristic, complemented
183C4×SD16×C89C2211yescharacteristic, complemented
184C4×D8×C89C2211yescharacteristic
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×C89—21no—
204C2×#41×C89—21no—
205C2×#41×C89—21no—
206C2×#41×C89C2311yescharacteristic
207C2×#41×C89C2311yescharacteristic
208C2×#41×C89C2311yescharacteristic
209C2×#41×C89C2311yescharacteristic
210C2×#41×C89C2311yescharacteristic
211C2×#41×C89C2311yescharacteristic
212C2×#41×C89C2311yescharacteristic
213C22×Q8×C89C2311yescharacteristic
214C22×D4×C89C2311yescharacteristic
215#137×C89—42no—
216AGL(1,ℤ/8)×C89—42no—
217#135×C89—42no—
218#135×C89—42no—
219#135×C89—42no—
220#135×C89—42no—
221C2×Q16×C89C2311yescharacteristic
222C2×Q16×C89C2311yescharacteristic
223C2×Q16×C89C2311yescharacteristic
224C2×SD16×C89C2311yescharacteristic
225C2×SD16×C89C2311yescharacteristic
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×D8×C89C2311yescharacteristic
237C2×D8×C89C2311yescharacteristic
238C2×D8×C89C2311yescharacteristic
239C2×D8×C89C2311yescharacteristic
240C2×D8×C89C2311yescharacteristic
241C2×D8×C89C2311yescharacteristic
242C2×D8×C89C2311yescharacteristic
243C2×D8×C89C2311yescharacteristic
244C2×D8×C89C2311yescharacteristic
245C2×M16×C89C2311yescharacteristic
246C2×M16×C89C2311yescharacteristic
247C22×C8×C89C2311yescharacteristic
248C22×C8×C89C2311yescharacteristic
249C22×C8×C89C2311yescharacteristic
250C22×C8×C89C2311yescharacteristic
251C4⋊Q8×C89—21no—
252C4⋊Q8×C89C2311yescharacteristic
253C4⋊Q8×C89C2311yescharacteristic
254C4⋊Q8×C89C2311yescharacteristic
255#127×C89—21no—
256#127×C89—21no—
257#127×C89—21no—
258#127×C89—21no—
259#127×C89C2311yescharacteristic
260#127×C89C2311yescharacteristic
261#127×C89C2311yescharacteristic
262#127×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×C89D411yescharacteristic
272#126×C89D411yescharacteristic
273#125×C89—21no—
274#125×C89—21no—
275#125×C89—21no—
276#125×C89—21no—
277#125×C89D411yescharacteristic
278#125×C89C2311yescharacteristic
279#125×C89C2311yescharacteristic
280#125×C89C2311yescharacteristic
281#124×C89—21no—
282#124×C89—21no—
283#124×C89—21no—
284#124×C89—21no—
285#124×C89D411yescharacteristic
286#124×C89C2311yescharacteristic
287#124×C89C2311yescharacteristic
288#124×C89C2311yescharacteristic
289#124×C89C2311yescharacteristic
290#124×C89C2311yescharacteristic
291#123×C89—21no—
292#123×C89—21no—
293#123×C89—21no—
294#123×C89—21no—
295#123×C89—21no—
296#123×C89—21no—
297#123×C89—21no—
298#123×C89—21no—
299#123×C89—21no—
300#123×C89—21no—
301#123×C89—21no—
302#123×C89—21no—
303#123×C89—21no—
304#123×C89—21no—
305#123×C89—21no—
306#123×C89—21no—
307#123×C89—21no—
308#123×C89—21no—
309#123×C89—21no—
310#123×C89D411yescharacteristic
311#123×C89D411yescharacteristic
312C22⋊Q8×C89—21no—
313C22⋊Q8×C89—21no—
314C22⋊Q8×C89—21no—
315C22⋊Q8×C89—21no—
316C22⋊Q8×C89—21no—
317C22⋊Q8×C89—21no—
318C22⋊Q8×C89D411yescharacteristic
319C22⋊Q8×C89C2311yescharacteristic
320C22⋊Q8×C89C2311yescharacteristic
321C22⋊Q8×C89C2311yescharacteristic
322#121×C89—21no—
323#121×C89—21no—
324#121×C89—21no—
325#121×C89—21no—
326#121×C89—21no—
327#121×C89—21no—
328#121×C89—21no—
329#121×C89—21no—
330#121×C89—21no—
331#121×C89—21no—
332#121×C89—21no—
333#121×C89—21no—
334#121×C89—21no—
335#121×C89—21no—
336#121×C89—21no—
337#121×C89—21no—
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×C89D411yescharacteristic
352#121×C89C2311yescharacteristic
353#121×C89C2311yescharacteristic
354#121×C89C2311yescharacteristic
355#121×C89C2311yescharacteristic
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×C89—21no—
390C4×D4×C89—21no—
391C4×D4×C89—21no—
392C4×D4×C89—21no—
393C4×D4×C89C2311yescharacteristic
394C4×D4×C89C2311yescharacteristic
395C4×D4×C89C2311yescharacteristic
396C4×D4×C89C2311yescharacteristic
397C4×D4×C89C2311yescharacteristic
398C4×D4×C89C2311yescharacteristic
399C4×D4×C89C2311yescharacteristic
400C4×D4×C89C2311yescharacteristic
401C4×D4×C89C2311yescharacteristic
402C4×D4×C89C2311yescharacteristic
403C4×D4×C89C2311yescharacteristic
404C4×D4×C89C2311yescharacteristic
405#117×C89—21no—
406#117×C89—21no—
407#117×C89—21no—
408#117×C89—21no—
409#117×C89—21no—
410#117×C89C2311yescharacteristic
411#117×C89C2311yescharacteristic
412#117×C89C2311yescharacteristic
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#102×C89C2311yescharacteristic
455#102×C89C2311yescharacteristic
456#102×C89C2311yescharacteristic
457#102×C89C2311yescharacteristic
458#102×C89C2311yescharacteristic
459#102×C89C2311yescharacteristic
460#102×C89C2311yescharacteristic
461#102×C89C2311yescharacteristic
462#102×C89C2311yescharacteristic
463#102×C89C2311yescharacteristic
464#102×C89C2311yescharacteristic
465#102×C89C2311yescharacteristic
466#102×C89C2311yescharacteristic
467#102×C89C2311yescharacteristic
468#102×C89C2311yescharacteristic
469#102×C89C2311yescharacteristic
470#102×C89C2311yescharacteristic
471#102×C89C2311yescharacteristic
472C22⋊C8×C89C2311yescharacteristic
473C22⋊C8×C89C2311yescharacteristic
474C22⋊C8×C89C2311yescharacteristic
475C22⋊C8×C89C2311yescharacteristic
476C22⋊C8×C89C2311yescharacteristic
477C22⋊C8×C89C2311yescharacteristic
478#97×C89C2311yescharacteristic
479#97×C89C2311yescharacteristic
480#97×C89C2311yescharacteristic
481#97×C89C2311yescharacteristic
482C4×C8×C89C2311yescharacteristic
483C4×C8×C89C2311yescharacteristic
484C24×C89—21no—
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—
499#41×C89—82no—
500#41×C89—82no—
501#41×C89—82no—
502C2×Q8×C89—21no—
503C2×Q8×C89—21no—
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×D4×C89—21no—
512C2×D4×C89—21no—
513C2×D4×C89—21no—
514C2×D4×C89—21no—
515C2×D4×C89—21no—
516C2×D4×C89—21no—
517C2×D4×C89—21no—
518C2×D4×C89—21no—
519C2×D4×C89—21no—
520C2×D4×C89—21no—
521C2×D4×C89—21no—
522C2×D4×C89—21no—
523C2×D4×C89—21no—
524C2×D4×C89—21no—
525C2×D4×C89—21no—
526C2×D4×C89—21no—
527C2×D4×C89—21no—
528C2×D4×C89—21no—
529C2×D4×C89—21no—
530C2×D4×C89—21no—
531C2×D4×C89—21no—
532C2×D4×C89—21no—
533C2×D4×C89—21no—
534C2×D4×C89—21no—
535C2×D4×C89—21no—
536C2×D4×C89—21no—
537C2×D4×C89—21no—
538C2×D4×C89—41no—
539C2×D4×C89—41no—
540C2×D4×C89C2×D411yescharacteristic
541C2×D4×C89C2×D411yescharacteristic
542C2×D4×C89C2×D411yescharacteristic
543C2×D4×C89C2411yescharacteristic
544C2×D4×C89C2411yescharacteristic
545C2×D4×C89C2411yescharacteristic
546C2×D4×C89C2411yescharacteristic
547C2×D4×C89C2411yescharacteristic
548C2×D4×C89C2411yescharacteristic
549C22×C4×C89—21no—
550C22×C4×C89—21no—
551C22×C4×C89—21no—
552C22×C4×C89—21no—
553C22×C4×C89—21no—
554C22×C4×C89—21no—
555C22×C4×C89—21no—
556C22×C4×C89—21no—
557C22×C4×C89—21no—
558C22×C4×C89—21no—
559C22×C4×C89—21no—
560C22×C4×C89—21no—
561C22×C4×C89—21no—
562C22×C4×C89—21no—
563C22×C4×C89—21no—
564C22×C4×C89—21no—
565C22×C4×C89—21no—
566C22×C4×C89—21no—
567C22×C4×C89—21no—
568C22×C4×C89C2×D411yescharacteristic
569C22×C4×C89C2×D411yescharacteristic
570C22×C4×C89C2411yescharacteristic
571C22×C4×C89C2411yescharacteristic
572C22×C4×C89C2411yescharacteristic
573Q16×C89—22no—
574Q16×C89—22no—
575Q16×C89—22no—
576SD16×C89—22no—
577SD16×C89—22no—
578SD16×C89—22no—
579SD16×C89—41no—
580SD16×C89—41no—
581SD16×C89—41no—
582SD16×C89—41no—
583SD16×C89—41no—
584SD16×C89—41no—
585SD16×C89—41no—
586SD16×C89—41no—
587SD16×C89—41no—
588D8×C89—41no—
589D8×C89—41no—
590D8×C89—41no—
591D8×C89—41no—
592D8×C89—41no—
593D8×C89—41no—
594D8×C89—41no—
595D8×C89—41no—
596D8×C89—41no—
597M16×C89—41no—
598M16×C89—41no—
599C2×C8×C89—41no—
600C2×C8×C89—41no—
601C2×C8×C89—41no—
602C2×C8×C89—41no—
603C2×C8×C89C2411yescharacteristic
604C2×C8×C89C2411yescharacteristic
605C2×C8×C89C2411yescharacteristic
606C2×C8×C89C2411yescharacteristic
607C2×C8×C89C2411yescharacteristic
608C2×C8×C89C2411yescharacteristic
609C2×C8×C89C2411yescharacteristic
610C2×C8×C89C2411yescharacteristic
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—21no—
711C23×C89—21no—
712C23×C89—81no—
713C23×C89—81no—
714C23×C89—81no—
715C23×C89C22×D411yescharacteristic
716C23×C89C22×D411yescharacteristic
717C23×C89C22×D411yescharacteristic
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—42no—
727Q8×C89—81no—
728Q8×C89H(5,𝔽2)12yes—
729D4×C89—21no—
730D4×C89—21no—
731D4×C89—21no—
732D4×C89—21no—
733D4×C89—21no—
734D4×C89—21no—
735D4×C89—21no—
736D4×C89—21no—
737D4×C89—21no—
738D4×C89—21no—
739D4×C89—21no—
740D4×C89—21no—
741D4×C89—41no—
742D4×C89—41no—
743D4×C89—41no—
744D4×C89—42no—
745D4×C89—42no—
746D4×C89—42no—
747D4×C89—42no—
748D4×C89—81no—
749D4×C89—81no—
750D4×C89—81no—
751D4×C89—81no—
752D4×C89—81no—
753D4×C89—81no—
754D4×C89—81no—
755D4×C89—81no—
756D4×C89—81no—
757D4×C89—81no—
758D4×C89—81no—
759D4×C89—81no—
760D4×C89—81no—
761D4×C89—81no—
762D4×C89—81no—
763D4×C89—81no—
764D4×C89—81no—
765D4×C89—81no—
766D4×C89—81no—
767D4×C89—81no—
768D4×C89—81no—
769D4×C89—81no—
770D4×C89—81no—
771C2×C4×C89—21no—
772C2×C4×C89—21no—
773C2×C4×C89—21no—
774C2×C4×C89—21no—
775C2×C4×C89—21no—
776C2×C4×C89—21no—
777C2×C4×C89—21no—
778C2×C4×C89—21no—
779C2×C4×C89—21no—
780C2×C4×C89—21no—
781C2×C4×C89—21no—
782C2×C4×C89—21no—
783C2×C4×C89—21no—
784C2×C4×C89—21no—
785C2×C4×C89—21no—
786C2×C4×C89—21no—
787C2×C4×C89—41no—
788C2×C4×C89—41no—
789C2×C4×C89—42no—
790C2×C4×C89—42no—
791C2×C4×C89—42no—
792C2×C4×C89—42no—
793C2×C4×C89—81no—
794C2×C4×C89—81no—
795C2×C4×C89—81no—
796C2×C4×C89—81no—
797C2×C4×C89—81no—
798C2×C4×C89—81no—
799C2×C4×C89—81no—
800C2×C4×C89—81no—
801C2×C4×C89—81no—
802C2×C4×C89—81no—
803C2×C4×C89—81no—
804C2×C4×C89—81no—
805C2×C4×C89—81no—
806C2×C4×C89—81no—
807C2×C4×C89—81no—
808C2×C4×C89C22×D411yescharacteristic
809C2×C4×C89C22×D411yescharacteristic
810C2×C4×C89C22×D411yescharacteristic
811C2×C4×C89C22×D411yescharacteristic
812C2×C4×C89C22×D411yescharacteristic
813C2×C4×C89C22×D411yescharacteristic
814C2×C4×C89C22×D411yescharacteristic
815C2×C4×C89C22×D411yescharacteristic
816C2×C4×C89C22×D411yescharacteristic
817C2×C4×C89C22×D411yescharacteristic
818C2×C4×C89C22×D411yescharacteristic
819C2×C4×C89C2511yescharacteristic
820C8×C89—21no—
821C8×C89—21no—
822C8×C89—21no—
823C8×C89—21no—
824C8×C89—21no—
825C8×C89—21no—
826C8×C89—21no—
827C8×C89—21no—
828C22×C89—21no—
829C22×C89—21no—
830C22×C89—21no—
831C22×C89—21no—
832C22×C89—21no—
833C22×C89—21no—
834C22×C89—21no—
835C22×C89—21no—
836C22×C89—21no—
837C22×C89—41no—
838C22×C89—41no—
839C22×C89—41no—
840C22×C89—41no—
841C22×C89—41no—
842C22×C89—41no—
843C22×C89—41no—
844C22×C89—41no—
845C22×C89—41no—
846C22×C89—41no—
847C22×C89—41no—
848C22×C89—41no—
849C22×C89—41no—
850C22×C89—41no—
851C22×C89—41no—
852C22×C89—41no—
853C22×C89—41no—
854C22×C89—41no—
855C22×C89—162no—
856C22×C89C23×D411yescharacteristic
857C4×C89—21no—
858C4×C89—21no—
859C4×C89—21no—
860C4×C89—21no—
861C4×C89—21no—
862C4×C89—21no—
863C4×C89—21no—
864C4×C89—21no—
865C4×C89—21no—
866C4×C89—21no—
867C4×C89—21no—
868C4×C89—22no—
869C4×C89—41no—
870C4×C89—41no—
871C4×C89—41no—
872C4×C89—41no—
873C4×C89—41no—
874C4×C89—41no—
875C4×C89—41no—
876C4×C89—41no—
877C4×C89—41no—
878C4×C89C2×H(5,𝔽2)11yescharacteristic
879C4×C89#58511yescharacteristic
880#62014C8911yesmaximal, characteristic, direct product factor, Sylow
881C2×C89—41no—
882C2×C89—41no—
883C2×C89—41no—
884C2×C89—81no—
885C2×C89—81no—
886C2×C89—81no—
887C2×C89—81no—
888C2×C89—81no—
889C2×C89—81no—
890C2×C89#348811yescharacteristic
891C2×C89#358411yescharacteristic
892C2×C89#358511yescharacteristic
893#3562C2×C8911yescharacteristic, complemented
894#3517C2×C8911yescharacteristic, complemented
895#3399C2×C8911yescharacteristic, complemented
896#3397C2×C8911yescharacteristic, complemented
897#3377C2×C8911yescharacteristic, complemented
898#3371C2×C8911yescharacteristic, complemented
899#3309C2×C8911yescharacteristic, complemented
900#3308C2×C8911yescharacteristic, complemented
901#3307C2×C8911yescharacteristic, complemented
902#3306C2×C8911yescharacteristic, complemented
903#3301C2×C8911yescharacteristic, complemented
904#3297C2×C8911yescharacteristic, complemented
905#3287C2×C8911yescharacteristic, complemented
906#3284C2×C8911yescharacteristic, complemented
907#3271C2×C8911yescharacteristic, complemented
908#3271C2×C8911yescharacteristic, complemented
909#3268C2×C8911yescharacteristic, complemented
910#3268C2×C8911yescharacteristic, complemented
911#3260C2×C8911yescharacteristic, complemented
912#3259C2×C8911yescharacteristic, complemented
913#3247C2×C8911yescharacteristic, complemented
914#3221C2×C8911yescharacteristic, complemented
915#3220C2×C8911yescharacteristic, complemented
916#3214C2×C8911yescharacteristic, complemented
917#3120C2×C8911yescharacteristic, complemented
918#3119C2×C8911yescharacteristic, complemented
919#3111C2×C8911yescharacteristic, complemented
920#3046C2×C8911yescharacteristic, complemented
921#3045C2×C8911yescharacteristic, complemented
922#3035C2×C8911yescharacteristic, complemented
923#2992C2×C8911yescharacteristic, complemented
924C89#6201411yescharacteristic, direct product factor, Sylow
925C2×#137C22×C8911yescharacteristic, complemented
926C2×AGL(1,ℤ/8)C22×C8911yescharacteristic
927C2×#135C22×C8911yescharacteristic
928C2×#135C22×C8911yescharacteristic
929C2×#135C22×C8911yescharacteristic
930C2×#135C22×C8911yescharacteristic, complemented
931#562—21no—
932#560—21no—
933#559C22×C8911yescharacteristic
934#557C22×C8911yescharacteristic, complemented
935#556C22×C8911yescharacteristic
936#553—21no—
937#553—21no—
938#553—21no—
939#553C22×C8911yescharacteristic
940#553C22×C8911yescharacteristic, complemented
941#551—21no—
942#550—21no—
943#550C22×C8911yescharacteristic
944#550C22×C8911yescharacteristic
945#550C22×C8911yescharacteristic
946#550C22×C8911yescharacteristic, complemented
947#550C22×C8911yescharacteristic, complemented
948#548C22×C8911yescharacteristic
949#548C22×C8911yescharacteristic
950#547—21no—
951#547C22×C8911yescharacteristic
952#547C22×C8911yescharacteristic
953#546C22×C8911yescharacteristic
954#546C22×C8911yescharacteristic
955#541C22×C8911yescharacteristic
956#540—21no—
957#540—21no—
958#540—21no—
959#540C22×C8911yescharacteristic
960#540C22×C8911yescharacteristic
961#540C22×C8911yescharacteristic, complemented
962#539—21no—
963#538—21no—
964#538—21no—
965#536C22×C8911yescharacteristic
966#535C22×C8911yescharacteristic
967#532—21no—
968#532C22×C8911yescharacteristic
969#532C22×C8911yescharacteristic, complemented
970#529—21no—
971#529C22×C8911yescharacteristic
972#529C22×C8911yescharacteristic
973#520C22×C8911yescharacteristic
974#520C22×C8911yescharacteristic, complemented
975C4×#41C22×C8911yescharacteristic, complemented
976#496C22×C8911yescharacteristic
977#496C22×C8911yescharacteristic
978#496C22×C8911yescharacteristic
979#496C22×C8911yescharacteristic, complemented
980#493C22×C8911yescharacteristic
981#492C22×C8911yescharacteristic, complemented
982#491C22×C8911yescharacteristic, complemented
983#490C22×C8911yescharacteristic
984#489C22×C8911yescharacteristic
985#489C22×C8911yescharacteristic, complemented
986#488C22×C8911yescharacteristic
987#488C22×C8911yescharacteristic
988#485C22×C8911yescharacteristic, complemented
989#484C22×C8911yescharacteristic
990#483C22×C8911yescharacteristic
991#482C22×C8911yescharacteristic
992#481C22×C8911yescharacteristic
993#480C22×C8911yescharacteristic, complemented
994#479C22×C8911yescharacteristic, complemented
995#479C22×C8911yescharacteristic, complemented
996#479C22×C8911yescharacteristic, complemented
997#478C22×C8911yescharacteristic
998#478C22×C8911yescharacteristic, complemented
999#478C22×C8911yescharacteristic, complemented
1000#478C22×C8911yescharacteristic, complemented
1001#478C22×C8911yescharacteristic, complemented
1002#477C22×C8911yescharacteristic, complemented
1003#476C22×C8911yescharacteristic
1004#469C22×C8911yescharacteristic
1005#469C22×C8911yescharacteristic, complemented
1006#468C22×C8911yescharacteristic
1007#468C22×C8911yescharacteristic
1008#466C22×C8911yescharacteristic
1009#466C22×C8911yescharacteristic
1010#466C22×C8911yescharacteristic
1011#466C22×C8911yescharacteristic, complemented
1012#465C22×C8911yescharacteristic
1013#465C22×C8911yescharacteristic
1014#465C22×C8911yescharacteristic, complemented
1015#465C22×C8911yescharacteristic, complemented
1016#464C22×C8911yescharacteristic
1017#464C22×C8911yescharacteristic
1018#464C22×C8911yescharacteristic
1019#464C22×C8911yescharacteristic
1020#464C22×C8911yescharacteristic, complemented
1021#463C22×C8911yescharacteristic
1022#463C22×C8911yescharacteristic
1023#463C22×C8911yescharacteristic
1024#463C22×C8911yescharacteristic
1025#463C22×C8911yescharacteristic
1026#463C22×C8911yescharacteristic
1027#463C22×C8911yescharacteristic, complemented
1028#462C22×C8911yescharacteristic, complemented
1029#462C22×C8911yescharacteristic, complemented
1030#461C22×C8911yescharacteristic, complemented
1031#461C22×C8911yescharacteristic, complemented
1032#461C22×C8911yescharacteristic, complemented
1033#461C22×C8911yescharacteristic, complemented
1034#460C22×C8911yescharacteristic
1035#460C22×C8911yescharacteristic
1036#460C22×C8911yescharacteristic, complemented
1037#460C22×C8911yescharacteristic, complemented
1038#460C22×C8911yescharacteristic, complemented
1039#459C22×C8911yescharacteristic
1040#459C22×C8911yescharacteristic
1041#459C22×C8911yescharacteristic
1042#459C22×C8911yescharacteristic
1043#459C22×C8911yescharacteristic
1044#459C22×C8911yescharacteristic
1045#459C22×C8911yescharacteristic, complemented
1046#452C22×C8911yescharacteristic
1047#452C22×C8911yescharacteristic
1048#452C22×C8911yescharacteristic, complemented
1049#449C22×C8911yescharacteristic
1050#449C22×C8911yescharacteristic
1051#449C22×C8911yescharacteristic
1052#449C22×C8911yescharacteristic
1053#449C22×C8911yescharacteristic
1054#449C22×C8911yescharacteristic
1055#449C22×C8911yescharacteristic
1056#449C22×C8911yescharacteristic
1057#449C22×C8911yescharacteristic, complemented
1058#449C22×C8911yescharacteristic, complemented
1059#449C22×C8911yescharacteristic, complemented
1060#448C22×C8911yescharacteristic, complemented
1061#448C22×C8911yescharacteristic, complemented
1062#447C22×C8911yescharacteristic
1063#447C22×C8911yescharacteristic
1064#446C22×C8911yescharacteristic, complemented
1065#446C22×C8911yescharacteristic, complemented
1066#442C22×C8911yescharacteristic
1067#442C22×C8911yescharacteristic, complemented
1068#441C22×C8911yescharacteristic, complemented
1069#441C22×C8911yescharacteristic, complemented
1070#440C22×C8911yescharacteristic
1071#440C22×C8911yescharacteristic
1072#440C22×C8911yescharacteristic, complemented
1073#440C22×C8911yescharacteristic, complemented
1074C4×Q16C22×C8911yescharacteristic, complemented
1075C4×SD16C22×C8911yescharacteristic, complemented
1076C4×SD16C22×C8911yescharacteristic, complemented
1077C4×D8C22×C8911yescharacteristic
1078#435C22×C8911yescharacteristic
1079#435C22×C8911yescharacteristic
1080#435C22×C8911yescharacteristic
1081#435C22×C8911yescharacteristic, complemented
1082C8×D4C22×C8911yescharacteristic
1083C8×D4C22×C8911yescharacteristic, complemented
1084#433C22×C8911yescharacteristic
1085#433C22×C8911yescharacteristic, complemented
1086#432C22×C8911yescharacteristic, complemented
1087#424C22×C8911yescharacteristic
1088#424C22×C8911yescharacteristic, complemented
1089C2×C4⋊C8C22×C8911yescharacteristic, complemented
1090#417C22×C8911yescharacteristic
1091#417C22×C8911yescharacteristic
1092#416C22×C8911yescharacteristic
1093#416C22×C8911yescharacteristic, complemented
1094C2×#103C22×C8911yescharacteristic, complemented
1095C2×#102C22×C8911yescharacteristic
1096C2×#41—21no—
1097C2×#41—21no—
1098C2×#41—21no—
1099C2×#41C23×C8911yescharacteristic
1100C2×#41C23×C8911yescharacteristic
1101C2×#41C23×C8911yescharacteristic
1102C2×#41C23×C8911yescharacteristic
1103C2×#41C23×C8911yescharacteristic
1104C2×#41C23×C8911yescharacteristic
1105C2×#41C23×C8911yescharacteristic
1106C22×Q8C23×C8911yescharacteristic
1107C22×D4C23×C8911yescharacteristic
1108#137—42no—
1109AGL(1,ℤ/8)—42no—
1110#135—42no—
1111#135—42no—
1112#135—42no—
1113#135—42no—
1114C2×Q16C23×C8911yescharacteristic
1115C2×Q16C23×C8911yescharacteristic
1116C2×Q16C23×C8911yescharacteristic
1117C2×SD16C23×C8911yescharacteristic
1118C2×SD16C23×C8911yescharacteristic
1119C2×SD16C23×C8911yescharacteristic
1120C2×SD16C23×C8911yescharacteristic
1121C2×SD16C23×C8911yescharacteristic
1122C2×SD16C23×C8911yescharacteristic
1123C2×SD16C23×C8911yescharacteristic
1124C2×SD16C23×C8911yescharacteristic
1125C2×SD16C23×C8911yescharacteristic
1126C2×SD16C23×C8911yescharacteristic
1127C2×SD16C23×C8911yescharacteristic
1128C2×SD16C23×C8911yescharacteristic
1129C2×D8C23×C8911yescharacteristic
1130C2×D8C23×C8911yescharacteristic
1131C2×D8C23×C8911yescharacteristic
1132C2×D8C23×C8911yescharacteristic
1133C2×D8C23×C8911yescharacteristic
1134C2×D8C23×C8911yescharacteristic
1135C2×D8C23×C8911yescharacteristic
1136C2×D8C23×C8911yescharacteristic
1137C2×D8C23×C8911yescharacteristic
1138C2×M16C23×C8911yescharacteristic
1139C2×M16C23×C8911yescharacteristic
1140C22×C8C23×C8911yescharacteristic
1141C22×C8C23×C8911yescharacteristic
1142C22×C8C23×C8911yescharacteristic
1143C22×C8C23×C8911yescharacteristic
1144C4⋊Q8—21no—
1145C4⋊Q8C23×C8911yescharacteristic
1146C4⋊Q8C23×C8911yescharacteristic
1147C4⋊Q8C23×C8911yescharacteristic
1148#127—21no—
1149#127—21no—
1150#127—21no—
1151#127—21no—
1152#127C23×C8911yescharacteristic
1153#127C23×C8911yescharacteristic
1154#127C23×C8911yescharacteristic
1155#127C23×C8911yescharacteristic
1156#127C23×C8911yescharacteristic
1157#126—21no—
1158#126—21no—
1159#126—21no—
1160#126—21no—
1161#126—21no—
1162#126—21no—
1163#126—21no—
1164#126D4×C8911yescharacteristic
1165#126D4×C8911yescharacteristic
1166#125—21no—
1167#125—21no—
1168#125—21no—
1169#125—21no—
1170#125D4×C8911yescharacteristic
1171#125C23×C8911yescharacteristic
1172#125C23×C8911yescharacteristic
1173#125C23×C8911yescharacteristic
1174#124—21no—
1175#124—21no—
1176#124—21no—
1177#124—21no—
1178#124D4×C8911yescharacteristic
1179#124C23×C8911yescharacteristic
1180#124C23×C8911yescharacteristic
1181#124C23×C8911yescharacteristic
1182#124C23×C8911yescharacteristic
1183#124C23×C8911yescharacteristic
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#123—21no—
1197#123—21no—
1198#123—21no—
1199#123—21no—
1200#123—21no—
1201#123—21no—
1202#123—21no—
1203#123D4×C8911yescharacteristic
1204#123D4×C8911yescharacteristic
1205C22⋊Q8—21no—
1206C22⋊Q8—21no—
1207C22⋊Q8—21no—
1208C22⋊Q8—21no—
1209C22⋊Q8—21no—
1210C22⋊Q8—21no—
1211C22⋊Q8D4×C8911yescharacteristic
1212C22⋊Q8C23×C8911yescharacteristic
1213C22⋊Q8C23×C8911yescharacteristic
1214C22⋊Q8C23×C8911yescharacteristic
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#121—21no—
1225#121—21no—
1226#121—21no—
1227#121—21no—
1228#121—21no—
1229#121—21no—
1230#121—21no—
1231#121—21no—
1232#121—21no—
1233#121—21no—
1234#121—21no—
1235#121—21no—
1236#121—21no—
1237#121—21no—
1238#121—21no—
1239#121—21no—
1240#121—21no—
1241#121—21no—
1242#121—21no—
1243#121—21no—
1244#121D4×C8911yescharacteristic
1245#121C23×C8911yescharacteristic
1246#121C23×C8911yescharacteristic
1247#121C23×C8911yescharacteristic
1248#121C23×C8911yescharacteristic
1249#121C23×C8911yescharacteristic
1250#121C23×C8911yescharacteristic
1251#121C23×C8911yescharacteristic
1252#121C23×C8911yescharacteristic
1253#121C23×C8911yescharacteristic
1254#120—21no—
1255#120—21no—
1256#120—21no—
1257#120—21no—
1258C4×Q8—21no—
1259C4×Q8C23×C8911yescharacteristic
1260C4×Q8C23×C8911yescharacteristic
1261C4×Q8C23×C8911yescharacteristic
1262C4×Q8C23×C8911yescharacteristic
1263C4×Q8C23×C8911yescharacteristic
1264C4×Q8C23×C8911yescharacteristic
1265C4×Q8C23×C8911yescharacteristic
1266C4×Q8C23×C8911yescharacteristic
1267C4×D4—21no—
1268C4×D4—21no—
1269C4×D4—21no—
1270C4×D4—21no—
1271C4×D4—21no—
1272C4×D4—21no—
1273C4×D4—21no—
1274C4×D4—21no—
1275C4×D4—21no—
1276C4×D4—21no—
1277C4×D4—21no—
1278C4×D4—21no—
1279C4×D4—21no—
1280C4×D4—21no—
1281C4×D4—21no—
1282C4×D4—21no—
1283C4×D4—21no—
1284C4×D4—21no—
1285C4×D4—21no—
1286C4×D4C23×C8911yescharacteristic
1287C4×D4C23×C8911yescharacteristic
1288C4×D4C23×C8911yescharacteristic
1289C4×D4C23×C8911yescharacteristic
1290C4×D4C23×C8911yescharacteristic
1291C4×D4C23×C8911yescharacteristic
1292C4×D4C23×C8911yescharacteristic
1293C4×D4C23×C8911yescharacteristic
1294C4×D4C23×C8911yescharacteristic
1295C4×D4C23×C8911yescharacteristic
1296C4×D4C23×C8911yescharacteristic
1297C4×D4C23×C8911yescharacteristic
1298#117—21no—
1299#117—21no—
1300#117—21no—
1301#117—21no—
1302#117—21no—
1303#117C23×C8911yescharacteristic
1304#117C23×C8911yescharacteristic
1305#117C23×C8911yescharacteristic
1306C2×C4⋊C4—21no—
1307C2×C4⋊C4—21no—
1308C2×C4⋊C4—21no—
1309C2×C4⋊C4C23×C8911yescharacteristic
1310C2×C4⋊C4C23×C8911yescharacteristic
1311C2×C22⋊C4—21no—
1312C2×C22⋊C4—21no—
1313C2×C42—21no—
1314C2×C42C23×C8911yescharacteristic
1315#107C23×C8911yescharacteristic
1316#107C23×C8911yescharacteristic
1317#107C23×C8911yescharacteristic
1318#107C23×C8911yescharacteristic
1319#106C23×C8911yescharacteristic
1320#106C23×C8911yescharacteristic
1321#106C23×C8911yescharacteristic
1322#106C23×C8911yescharacteristic
1323C4⋊C8C23×C8911yescharacteristic
1324C4⋊C8C23×C8911yescharacteristic
1325C4⋊C8C23×C8911yescharacteristic
1326C4⋊C8C23×C8911yescharacteristic
1327C4⋊C8C23×C8911yescharacteristic
1328C4⋊C8C23×C8911yescharacteristic
1329C4⋊C8C23×C8911yescharacteristic
1330C4⋊C8C23×C8911yescharacteristic
1331C4⋊C8C23×C8911yescharacteristic
1332C4⋊C8C23×C8911yescharacteristic
1333#103C23×C8911yescharacteristic
1334#103C23×C8911yescharacteristic
1335#103C23×C8911yescharacteristic
1336#103C23×C8911yescharacteristic
1337#103C23×C8911yescharacteristic
1338#103C23×C8911yescharacteristic
1339#103C23×C8911yescharacteristic
1340#103C23×C8911yescharacteristic
1341#103C23×C8911yescharacteristic
1342#103C23×C8911yescharacteristic
1343#103C23×C8911yescharacteristic
1344#103C23×C8911yescharacteristic
1345#103C23×C8911yescharacteristic
1346#103C23×C8911yescharacteristic
1347#102C23×C8911yescharacteristic
1348#102C23×C8911yescharacteristic
1349#102C23×C8911yescharacteristic
1350#102C23×C8911yescharacteristic
1351#102C23×C8911yescharacteristic
1352#102C23×C8911yescharacteristic
1353#102C23×C8911yescharacteristic
1354#102C23×C8911yescharacteristic
1355#102C23×C8911yescharacteristic
1356#102C23×C8911yescharacteristic
1357#102C23×C8911yescharacteristic
1358#102C23×C8911yescharacteristic
1359#102C23×C8911yescharacteristic
1360#102C23×C8911yescharacteristic
1361#102C23×C8911yescharacteristic
1362#102C23×C8911yescharacteristic
1363#102C23×C8911yescharacteristic
1364#102C23×C8911yescharacteristic
1365C22⋊C8C23×C8911yescharacteristic
1366C22⋊C8C23×C8911yescharacteristic
1367C22⋊C8C23×C8911yescharacteristic
1368C22⋊C8C23×C8911yescharacteristic
1369C22⋊C8C23×C8911yescharacteristic
1370C22⋊C8C23×C8911yescharacteristic
1371#97C23×C8911yescharacteristic
1372#97C23×C8911yescharacteristic
1373#97C23×C8911yescharacteristic
1374#97C23×C8911yescharacteristic
1375C4×C8C23×C8911yescharacteristic
1376C4×C8C23×C8911yescharacteristic
1377C24—21no—
1378#41—22no—
1379#41—22no—
1380#41—22no—
1381#41—41no—
1382#41—41no—
1383#41—41no—
1384#41—41no—
1385#41—41no—
1386#41—41no—
1387#41—41no—
1388#41—41no—
1389#41—41no—
1390#41—41no—
1391#41—41no—
1392#41—82no—
1393#41—82no—
1394#41—82no—
1395C2×Q8—21no—
1396C2×Q8—21no—
1397C2×Q8—41no—
1398C2×Q8—41no—
1399C2×Q8C2×D4×C8911yescharacteristic
1400C2×Q8C24×C8911yescharacteristic
1401C2×Q8C24×C8911yescharacteristic
1402C2×Q8C24×C8911yescharacteristic
1403C2×Q8C24×C8911yescharacteristic
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—21no—
1409C2×D4—21no—
1410C2×D4—21no—
1411C2×D4—21no—
1412C2×D4—21no—
1413C2×D4—21no—
1414C2×D4—21no—
1415C2×D4—21no—
1416C2×D4—21no—
1417C2×D4—21no—
1418C2×D4—21no—
1419C2×D4—21no—
1420C2×D4—21no—
1421C2×D4—21no—
1422C2×D4—21no—
1423C2×D4—21no—
1424C2×D4—21no—
1425C2×D4—21no—
1426C2×D4—21no—
1427C2×D4—21no—
1428C2×D4—21no—
1429C2×D4—21no—
1430C2×D4—21no—
1431C2×D4—41no—
1432C2×D4—41no—
1433C2×D4C2×D4×C8911yescharacteristic
1434C2×D4C2×D4×C8911yescharacteristic
1435C2×D4C2×D4×C8911yescharacteristic
1436C2×D4C24×C8911yescharacteristic
1437C2×D4C24×C8911yescharacteristic
1438C2×D4C24×C8911yescharacteristic
1439C2×D4C24×C8911yescharacteristic
1440C2×D4C24×C8911yescharacteristic
1441C2×D4C24×C8911yescharacteristic
1442C22×C4—21no—
1443C22×C4—21no—
1444C22×C4—21no—
1445C22×C4—21no—
1446C22×C4—21no—
1447C22×C4—21no—
1448C22×C4—21no—
1449C22×C4—21no—
1450C22×C4—21no—
1451C22×C4—21no—
1452C22×C4—21no—
1453C22×C4—21no—
1454C22×C4—21no—
1455C22×C4—21no—
1456C22×C4—21no—
1457C22×C4—21no—
1458C22×C4—21no—
1459C22×C4—21no—
1460C22×C4—21no—
1461C22×C4C2×D4×C8911yescharacteristic
1462C22×C4C2×D4×C8911yescharacteristic
1463C22×C4C24×C8911yescharacteristic
1464C22×C4C24×C8911yescharacteristic
1465C22×C4C24×C8911yescharacteristic
1466Q16—22no—
1467Q16—22no—
1468Q16—22no—
1469SD16—22no—
1470SD16—22no—
1471SD16—22no—
1472SD16—41no—
1473SD16—41no—
1474SD16—41no—
1475SD16—41no—
1476SD16—41no—
1477SD16—41no—
1478SD16—41no—
1479SD16—41no—
1480SD16—41no—
1481D8—41no—
1482D8—41no—
1483D8—41no—
1484D8—41no—
1485D8—41no—
1486D8—41no—
1487D8—41no—
1488D8—41no—
1489D8—41no—
1490M16—41no—
1491M16—41no—
1492C2×C8—41no—
1493C2×C8—41no—
1494C2×C8—41no—
1495C2×C8—41no—
1496C2×C8C24×C8911yescharacteristic
1497C2×C8C24×C8911yescharacteristic
1498C2×C8C24×C8911yescharacteristic
1499C2×C8C24×C8911yescharacteristic
1500C2×C8C24×C8911yescharacteristic
1501C2×C8C24×C8911yescharacteristic
1502C2×C8C24×C8911yescharacteristic
1503C2×C8C24×C8911yescharacteristic
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—21no—
1508C4⋊C4—21no—
1509C4⋊C4—21no—
1510C4⋊C4—21no—
1511C4⋊C4—21no—
1512C4⋊C4—21no—
1513C4⋊C4—21no—
1514C4⋊C4—21no—
1515C4⋊C4—21no—
1516C4⋊C4—21no—
1517C4⋊C4—21no—
1518C4⋊C4—21no—
1519C4⋊C4—21no—
1520C4⋊C4—21no—
1521C4⋊C4—21no—
1522C4⋊C4—21no—
1523C4⋊C4—21no—
1524C4⋊C4—21no—
1525C4⋊C4—21no—
1526C4⋊C4—21no—
1527C4⋊C4C2×D4×C8911yescharacteristic
1528C4⋊C4C2×D4×C8911yescharacteristic
1529C4⋊C4C2×D4×C8911yescharacteristic
1530C4⋊C4C2×D4×C8911yescharacteristic
1531C4⋊C4C2×D4×C8911yescharacteristic
1532C4⋊C4C2×D4×C8911yescharacteristic
1533C4⋊C4C2×D4×C8911yescharacteristic
1534C4⋊C4C2×D4×C8911yescharacteristic
1535C4⋊C4C2×D4×C8911yescharacteristic
1536C4⋊C4C2×D4×C8911yescharacteristic
1537C4⋊C4C24×C8911yescharacteristic
1538C4⋊C4C24×C8911yescharacteristic
1539C4⋊C4C24×C8911yescharacteristic
1540C4⋊C4C24×C8911yescharacteristic
1541C4⋊C4C24×C8911yescharacteristic
1542C4⋊C4C24×C8911yescharacteristic
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—21no—
1551C22⋊C4—21no—
1552C22⋊C4—21no—
1553C22⋊C4—21no—
1554C22⋊C4—21no—
1555C22⋊C4—21no—
1556C22⋊C4—21no—
1557C22⋊C4—21no—
1558C22⋊C4—21no—
1559C22⋊C4—21no—
1560C22⋊C4—21no—
1561C22⋊C4—21no—
1562C22⋊C4—21no—
1563C22⋊C4—21no—
1564C22⋊C4—21no—
1565C22⋊C4—21no—
1566C22⋊C4—21no—
1567C22⋊C4—21no—
1568C22⋊C4—21no—
1569C22⋊C4—21no—
1570C22⋊C4—21no—
1571C22⋊C4—21no—
1572C22⋊C4—21no—
1573C22⋊C4—21no—
1574C22⋊C4—21no—
1575C22⋊C4C2×D4×C8911yescharacteristic
1576C22⋊C4C2×D4×C8911yescharacteristic
1577C22⋊C4C2×D4×C8911yescharacteristic
1578C22⋊C4C2×D4×C8911yescharacteristic
1579C22⋊C4C2×D4×C8911yescharacteristic
1580C22⋊C4C2×D4×C8911yescharacteristic
1581C22⋊C4C2×D4×C8911yescharacteristic
1582C22⋊C4C2×D4×C8911yescharacteristic
1583C22⋊C4C2×D4×C8911yescharacteristic
1584C22⋊C4C2×D4×C8911yescharacteristic
1585C42—21no—
1586C42—21no—
1587C42—21no—
1588C42—21no—
1589C42—21no—
1590C42—21no—
1591C42—21no—
1592C42—21no—
1593C42C2×D4×C8911yescharacteristic
1594C42C2×D4×C8911yescharacteristic
1595C42C24×C8911yescharacteristic
1596C42C24×C8911yescharacteristic
1597C42C24×C8911yescharacteristic
1598C42C24×C8911yescharacteristic
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—81no—
1606C23—81no—
1607C23—81no—
1608C23C22×D4×C8911yescharacteristic
1609C23C22×D4×C8911yescharacteristic
1610C23C22×D4×C8911yescharacteristic
1611Q8—21no—
1612Q8—21no—
1613Q8—21no—
1614Q8—21no—
1615Q8—21no—
1616Q8—21no—
1617Q8—21no—
1618Q8—41no—
1619Q8—42no—
1620Q8—81no—
1621Q8H(5,𝔽2)×C8912yes—
1622D4—21no—
1623D4—21no—
1624D4—21no—
1625D4—21no—
1626D4—21no—
1627D4—21no—
1628D4—21no—
1629D4—21no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—41no—
1635D4—41no—
1636D4—41no—
1637D4—42no—
1638D4—42no—
1639D4—42no—
1640D4—42no—
1641D4—81no—
1642D4—81no—
1643D4—81no—
1644D4—81no—
1645D4—81no—
1646D4—81no—
1647D4—81no—
1648D4—81no—
1649D4—81no—
1650D4—81no—
1651D4—81no—
1652D4—81no—
1653D4—81no—
1654D4—81no—
1655D4—81no—
1656D4—81no—
1657D4—81no—
1658D4—81no—
1659D4—81no—
1660D4—81no—
1661D4—81no—
1662D4—81no—
1663D4—81no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—41no—
1681C2×C4—41no—
1682C2×C4—42no—
1683C2×C4—42no—
1684C2×C4—42no—
1685C2×C4—42no—
1686C2×C4—81no—
1687C2×C4—81no—
1688C2×C4—81no—
1689C2×C4—81no—
1690C2×C4—81no—
1691C2×C4—81no—
1692C2×C4—81no—
1693C2×C4—81no—
1694C2×C4—81no—
1695C2×C4—81no—
1696C2×C4—81no—
1697C2×C4—81no—
1698C2×C4—81no—
1699C2×C4—81no—
1700C2×C4—81no—
1701C2×C4C22×D4×C8911yescharacteristic
1702C2×C4C22×D4×C8911yescharacteristic
1703C2×C4C22×D4×C8911yescharacteristic
1704C2×C4C22×D4×C8911yescharacteristic
1705C2×C4C22×D4×C8911yescharacteristic
1706C2×C4C22×D4×C8911yescharacteristic
1707C2×C4C22×D4×C8911yescharacteristic
1708C2×C4C22×D4×C8911yescharacteristic
1709C2×C4C22×D4×C8911yescharacteristic
1710C2×C4C22×D4×C8911yescharacteristic
1711C2×C4C22×D4×C8911yescharacteristic
1712C2×C4C25×C8911yescharacteristic
1713C8—21no—
1714C8—21no—
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—21no—
1719C8—21no—
1720C8—21no—
1721C22—21no—
1722C22—21no—
1723C22—21no—
1724C22—21no—
1725C22—21no—
1726C22—21no—
1727C22—21no—
1728C22—21no—
1729C22—21no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—162no—
1749C22C23×D4×C8911yescharacteristic
1750C4—21no—
1751C4—21no—
1752C4—21no—
1753C4—21no—
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—21no—
1759C4—21no—
1760C4—21no—
1761C4—22no—
1762C4—41no—
1763C4—41no—
1764C4—41no—
1765C4—41no—
1766C4—41no—
1767C4—41no—
1768C4—41no—
1769C4—41no—
1770C4—41no—
1771C4C2×H(5,𝔽2)×C8911yescharacteristic
1772C4#585×C8911yescharacteristic
1773C2—41no—
1774C2—41no—
1775C2—41no—
1776C2—81no—
1777C2—81no—
1778C2—81no—
1779C2—81no—
1780C2—81no—
1781C2—81no—
1782C2C89×#348811yescharacteristic
1783C2C89×#358411yescharacteristic
1784C2C89×#358511yescharacteristic
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×#3517C2semidirect
3. C89×#3399C2semidirect
4. C89×#3397C2semidirect
5. C89×#3377C2semidirect
6. C89×#3371C2semidirect
7. C89×#3309C2semidirect
8. C89×#3308C2semidirect
9. C89×#3307C2semidirect
10. C89×#3306C2semidirect
11. C89×#3301C2semidirect
12. C89×#3297C2semidirect
13. C89×#3287C2semidirect
14. C89×#3284C2semidirect
15. C89×#3271C2semidirect
16. C89×#3271C2semidirect
17. C89×#3268C2semidirect
18. C89×#3268C2semidirect
19. C89×#3260C2semidirect
20. C89×#3259C2semidirect
21. C89×#3247C2semidirect
22. C89×#3221C2semidirect
23. C89×#3220C2semidirect
24. C89×#3214C2semidirect
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
47. #553×C89C22semidirect
53. #550×C89C22semidirect
54. #550×C89C22semidirect
68. #540×C89C22semidirect
76. #532×C89C22semidirect
81. #520×C89C22semidirect
82. C4×#41×C89C22semidirect
86. #496×C89C22semidirect
88. #492×C89C22semidirect
89. #491×C89C22semidirect
92. #489×C89C22semidirect
95. #485×C89C22semidirect
100. #480×C89C22semidirect
101. #479×C89C22semidirect
102. #479×C89C22semidirect
103. #479×C89C22semidirect
105. #478×C89C22semidirect
106. #478×C89C22semidirect
107. #478×C89C22semidirect
108. #478×C89C22semidirect
109. #477×C89C22semidirect
112. #469×C89C22semidirect
118. #466×C89C22semidirect
121. #465×C89C22semidirect
122. #465×C89C22semidirect
127. #464×C89C22semidirect
134. #463×C89C22semidirect
135. #462×C89C22semidirect
136. #462×C89C22semidirect
137. #461×C89C22semidirect
138. #461×C89C22semidirect
139. #461×C89C22semidirect
140. #461×C89C22semidirect
143. #460×C89C22semidirect
144. #460×C89C22semidirect
145. #460×C89C22semidirect
152. #459×C89C22semidirect
155. #452×C89C22semidirect
164. #449×C89C22semidirect
165. #449×C89C22semidirect
166. #449×C89C22semidirect
167. #448×C89C22semidirect
168. #448×C89C22semidirect
171. #446×C89C22semidirect
172. #446×C89C22semidirect
174. #442×C89C22semidirect
175. #441×C89C22semidirect
176. #441×C89C22semidirect
179. #440×C89C22semidirect
180. #440×C89C22semidirect
181. C4×Q16×C89C22semidirect
182. C4×SD16×C89C22semidirect
183. C4×SD16×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
880. #62014C89direct (N × H)
893. #3562C2×C89semidirect
894. #3517C2×C89semidirect
895. #3399C2×C89semidirect
896. #3397C2×C89semidirect
897. #3377C2×C89semidirect
898. #3371C2×C89semidirect
899. #3309C2×C89semidirect
900. #3308C2×C89semidirect
901. #3307C2×C89semidirect
902. #3306C2×C89semidirect
903. #3301C2×C89semidirect
904. #3297C2×C89semidirect
905. #3287C2×C89semidirect
906. #3284C2×C89semidirect
907. #3271C2×C89semidirect
908. #3271C2×C89semidirect
909. #3268C2×C89semidirect
910. #3268C2×C89semidirect
911. #3260C2×C89semidirect
912. #3259C2×C89semidirect
913. #3247C2×C89semidirect
914. #3221C2×C89semidirect
915. #3220C2×C89semidirect
916. #3214C2×C89semidirect
917. #3120C2×C89semidirect
918. #3119C2×C89semidirect
919. #3111C2×C89semidirect
920. #3046C2×C89semidirect
921. #3045C2×C89semidirect
922. #3035C2×C89semidirect
923. #2992C2×C89semidirect
924. C89#62014direct (N × H)
925. C2×#137C22×C89semidirect
930. C2×#135C22×C89semidirect
934. #557C22×C89semidirect
940. #553C22×C89semidirect
946. #550C22×C89semidirect
947. #550C22×C89semidirect
961. #540C22×C89semidirect
969. #532C22×C89semidirect
974. #520C22×C89semidirect
975. C4×#41C22×C89semidirect
979. #496C22×C89semidirect
981. #492C22×C89semidirect
982. #491C22×C89semidirect
985. #489C22×C89semidirect
988. #485C22×C89semidirect
993. #480C22×C89semidirect
994. #479C22×C89semidirect
995. #479C22×C89semidirect
996. #479C22×C89semidirect
998. #478C22×C89semidirect
999. #478C22×C89semidirect
1000. #478C22×C89semidirect
1001. #478C22×C89semidirect
1002. #477C22×C89semidirect
1005. #469C22×C89semidirect
1011. #466C22×C89semidirect
1014. #465C22×C89semidirect
1015. #465C22×C89semidirect
1020. #464C22×C89semidirect
1027. #463C22×C89semidirect
1028. #462C22×C89semidirect
1029. #462C22×C89semidirect
1030. #461C22×C89semidirect
1031. #461C22×C89semidirect
1032. #461C22×C89semidirect
1033. #461C22×C89semidirect
1036. #460C22×C89semidirect
1037. #460C22×C89semidirect
1038. #460C22×C89semidirect
1045. #459C22×C89semidirect
1048. #452C22×C89semidirect
1057. #449C22×C89semidirect
1058. #449C22×C89semidirect
1059. #449C22×C89semidirect
1060. #448C22×C89semidirect
1061. #448C22×C89semidirect
1064. #446C22×C89semidirect
1065. #446C22×C89semidirect
1067. #442C22×C89semidirect
1068. #441C22×C89semidirect
1069. #441C22×C89semidirect
1072. #440C22×C89semidirect
1073. #440C22×C89semidirect
1074. C4×Q16C22×C89semidirect
1075. C4×SD16C22×C89semidirect
1076. C4×SD16C22×C89semidirect
1081. #435C22×C89semidirect
1083. C8×D4C22×C89semidirect
1085. #433C22×C89semidirect
1086. #432C22×C89semidirect
1088. #424C22×C89semidirect
1089. C2×C4⋊C8C22×C89semidirect
1093. #416C22×C89semidirect
1094. 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×#35172
C89×#33992
C89×#33972
C89×#33772
C89×#33712
C89×#33092
C89×#33082
C89×#33072
C89×#33062
C89×#33012
C89×#32972
C89×#32872
C89×#32842
C89×#32712
C89×#32682
C89×#32602
C89×#32592
C89×#32472
C89×#32212
C89×#32202
C89×#32142
C89×#31202
C89×#31192
C89×#31112
C89×#30462
C89×#30452
C89×#30352
C89×#29922
#6201489